Compare commits
No commits in common. "b3f93373d00a4c2a5cd0019ade61bc300b1c5e09" and "b2403e2569a571656f1b3df83619e02b954a4aa9" have entirely different histories.
b3f93373d0
...
b2403e2569
2
.github/workflows/release.yml
vendored
2
.github/workflows/release.yml
vendored
@ -37,7 +37,7 @@ jobs:
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curl -sSfL https://raw.githubusercontent.com/anchore/syft/main/install.sh | \
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sh -s -- -b /usr/local/bin v0.64.0
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- name: Run GoReleaser
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uses: goreleaser/goreleaser-action@v4.3.0
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uses: goreleaser/goreleaser-action@v4.2.0
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with:
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version: latest
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args: release --rm-dist
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@ -41,7 +41,7 @@ func resourceTeamRead(d *schema.ResourceData, meta interface{}) (err error) {
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}
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}
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err = setTeamResourceData(team, d, meta)
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err = setTeamResourceData(team, d)
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return
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}
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@ -112,7 +112,7 @@ func resourceTeamCreate(d *schema.ResourceData, meta interface{}) (err error) {
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}
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}
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err = setTeamResourceData(team, d, meta)
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err = setTeamResourceData(team, d)
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return
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}
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@ -201,7 +201,7 @@ func resourceTeamUpdate(d *schema.ResourceData, meta interface{}) (err error) {
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team, _, _ = client.GetTeam(id)
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err = setTeamResourceData(team, d, meta)
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err = setTeamResourceData(team, d)
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return
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}
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@ -226,13 +226,7 @@ func resourceTeamDelete(d *schema.ResourceData, meta interface{}) (err error) {
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return
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}
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func setTeamResourceData(team *gitea.Team, d *schema.ResourceData, meta interface{}) (err error) {
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client := meta.(*gitea.Client)
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if err := client.CheckServerVersionConstraint(">= 1.19.4"); err != nil {
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d.Set(TeamOrg, d.Get(TeamOrg).(string))
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} else {
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d.Set(TeamOrg, team.Organization.UserName)
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}
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func setTeamResourceData(team *gitea.Team, d *schema.ResourceData) (err error) {
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d.SetId(fmt.Sprintf("%d", team.ID))
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d.Set(TeamCreateRepoFlag, team.CanCreateOrgRepo)
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d.Set(TeamDescription, team.Description)
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@ -240,6 +234,7 @@ func setTeamResourceData(team *gitea.Team, d *schema.ResourceData, meta interfac
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d.Set(TeamPermissions, string(team.Permission))
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d.Set(TeamIncludeAllReposFlag, team.IncludesAllRepositories)
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d.Set(TeamUnits, d.Get(TeamUnits).(string))
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d.Set(TeamOrg, d.Get(TeamOrg).(string))
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d.Set(TeamMembers, d.Get(TeamMembers))
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d.Set(TeamRepositories, d.Get(TeamRepositories))
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return
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@ -252,7 +247,7 @@ func resourceGiteaTeam() *schema.Resource {
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Update: resourceTeamUpdate,
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Delete: resourceTeamDelete,
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Importer: &schema.ResourceImporter{
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StateContext: schema.ImportStatePassthroughContext,
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State: schema.ImportStatePassthrough,
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},
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Schema: map[string]*schema.Schema{
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"name": {
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50
go.mod
50
go.mod
@ -4,42 +4,40 @@ go 1.18
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require (
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code.gitea.io/sdk/gitea v0.15.1
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github.com/hashicorp/terraform-plugin-docs v0.15.0
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github.com/hashicorp/terraform-plugin-log v0.9.0
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github.com/hashicorp/terraform-plugin-sdk/v2 v2.27.0
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github.com/hashicorp/terraform-plugin-docs v0.14.1
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github.com/hashicorp/terraform-plugin-log v0.8.0
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github.com/hashicorp/terraform-plugin-sdk/v2 v2.26.1
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)
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require (
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github.com/Masterminds/goutils v1.1.1 // indirect
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github.com/Masterminds/semver/v3 v3.1.1 // indirect
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github.com/Masterminds/sprig/v3 v3.2.2 // indirect
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github.com/ProtonMail/go-crypto v0.0.0-20230217124315-7d5c6f04bbb8 // indirect
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github.com/agext/levenshtein v1.2.2 // indirect
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github.com/apparentlymart/go-textseg/v13 v13.0.0 // indirect
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github.com/armon/go-radix v1.0.0 // indirect
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github.com/bgentry/speakeasy v0.1.0 // indirect
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github.com/cloudflare/circl v1.3.3 // indirect
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github.com/fatih/color v1.13.0 // indirect
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github.com/golang/protobuf v1.5.3 // indirect
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||||
github.com/golang/protobuf v1.5.2 // indirect
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github.com/google/go-cmp v0.5.9 // indirect
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||||
github.com/google/uuid v1.3.0 // indirect
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||||
github.com/hashicorp/errwrap v1.1.0 // indirect
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||||
github.com/hashicorp/go-checkpoint v0.5.0 // indirect
|
||||
github.com/hashicorp/go-cleanhttp v0.5.2 // indirect
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||||
github.com/hashicorp/go-cty v1.4.1-0.20200414143053-d3edf31b6320 // indirect
|
||||
github.com/hashicorp/go-hclog v1.5.0 // indirect
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||||
github.com/hashicorp/go-hclog v1.4.0 // indirect
|
||||
github.com/hashicorp/go-multierror v1.1.1 // indirect
|
||||
github.com/hashicorp/go-plugin v1.4.10 // indirect
|
||||
github.com/hashicorp/go-plugin v1.4.8 // indirect
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||||
github.com/hashicorp/go-uuid v1.0.3 // indirect
|
||||
github.com/hashicorp/go-version v1.6.0 // indirect
|
||||
github.com/hashicorp/hc-install v0.5.2 // indirect
|
||||
github.com/hashicorp/hcl/v2 v2.17.0 // indirect
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||||
github.com/hashicorp/hc-install v0.5.0 // indirect
|
||||
github.com/hashicorp/hcl/v2 v2.16.2 // indirect
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||||
github.com/hashicorp/logutils v1.0.0 // indirect
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||||
github.com/hashicorp/terraform-exec v0.18.1 // indirect
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||||
github.com/hashicorp/terraform-json v0.17.0 // indirect
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||||
github.com/hashicorp/terraform-plugin-go v0.16.0 // indirect
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||||
github.com/hashicorp/terraform-registry-address v0.2.1 // indirect
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||||
github.com/hashicorp/terraform-svchost v0.1.1 // indirect
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||||
github.com/hashicorp/terraform-json v0.16.0 // indirect
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||||
github.com/hashicorp/terraform-plugin-go v0.14.3 // indirect
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||||
github.com/hashicorp/terraform-registry-address v0.1.0 // indirect
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||||
github.com/hashicorp/terraform-svchost v0.0.0-20200729002733-f050f53b9734 // indirect
|
||||
github.com/hashicorp/yamux v0.0.0-20181012175058-2f1d1f20f75d // indirect
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||||
github.com/huandu/xstrings v1.3.2 // indirect
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||||
github.com/imdario/mergo v0.3.13 // indirect
|
||||
@ -57,16 +55,16 @@ require (
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||||
github.com/shopspring/decimal v1.3.1 // indirect
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||||
github.com/spf13/cast v1.5.0 // indirect
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||||
github.com/vmihailenco/msgpack v4.0.4+incompatible // indirect
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||||
github.com/vmihailenco/msgpack/v5 v5.3.5 // indirect
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||||
github.com/vmihailenco/tagparser/v2 v2.0.0 // indirect
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||||
github.com/zclconf/go-cty v1.13.2 // indirect
|
||||
golang.org/x/crypto v0.10.0 // indirect
|
||||
golang.org/x/mod v0.10.0 // indirect
|
||||
golang.org/x/net v0.11.0 // indirect
|
||||
golang.org/x/sys v0.9.0 // indirect
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||||
golang.org/x/text v0.10.0 // indirect
|
||||
google.golang.org/appengine v1.6.7 // indirect
|
||||
google.golang.org/genproto v0.0.0-20230410155749-daa745c078e1 // indirect
|
||||
google.golang.org/grpc v1.56.0 // indirect
|
||||
google.golang.org/protobuf v1.30.0 // indirect
|
||||
github.com/vmihailenco/msgpack/v4 v4.3.12 // indirect
|
||||
github.com/vmihailenco/tagparser v0.1.1 // indirect
|
||||
github.com/zclconf/go-cty v1.13.1 // indirect
|
||||
golang.org/x/crypto v0.7.0 // indirect
|
||||
golang.org/x/mod v0.8.0 // indirect
|
||||
golang.org/x/net v0.8.0 // indirect
|
||||
golang.org/x/sys v0.6.0 // indirect
|
||||
golang.org/x/text v0.8.0 // indirect
|
||||
google.golang.org/appengine v1.6.6 // indirect
|
||||
google.golang.org/genproto v0.0.0-20200711021454-869866162049 // indirect
|
||||
google.golang.org/grpc v1.51.0 // indirect
|
||||
google.golang.org/protobuf v1.28.1 // indirect
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||||
)
|
||||
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254
go.sum
254
go.sum
@ -1,6 +1,9 @@
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||||
cloud.google.com/go v0.26.0/go.mod h1:aQUYkXzVsufM+DwF1aE+0xfcU+56JwCaLick0ClmMTw=
|
||||
cloud.google.com/go v0.34.0/go.mod h1:aQUYkXzVsufM+DwF1aE+0xfcU+56JwCaLick0ClmMTw=
|
||||
code.gitea.io/gitea-vet v0.2.1/go.mod h1:zcNbT/aJEmivCAhfmkHOlT645KNOf9W2KnkLgFjGGfE=
|
||||
code.gitea.io/sdk/gitea v0.15.1 h1:WJreC7YYuxbn0UDaPuWIe/mtiNKTvLN8MLkaw71yx/M=
|
||||
code.gitea.io/sdk/gitea v0.15.1/go.mod h1:klY2LVI3s3NChzIk/MzMn7G1FHrfU7qd63iSMVoHRBA=
|
||||
github.com/BurntSushi/toml v0.3.1/go.mod h1:xHWCNGjB5oqiDr8zfno3MHue2Ht5sIBksp03qcyfWMU=
|
||||
github.com/Masterminds/goutils v1.1.1 h1:5nUrii3FMTL5diU80unEVvNevw1nH4+ZV4DSLVJLSYI=
|
||||
github.com/Masterminds/goutils v1.1.1/go.mod h1:8cTjp+g8YejhMuvIA5y2vz3BpJxksy863GQaJW2MFNU=
|
||||
github.com/Masterminds/semver/v3 v3.1.1 h1:hLg3sBzpNErnxhQtUy/mmLR2I9foDujNK030IGemrRc=
|
||||
@ -8,42 +11,71 @@ github.com/Masterminds/semver/v3 v3.1.1/go.mod h1:VPu/7SZ7ePZ3QOrcuXROw5FAcLl4a0
|
||||
github.com/Masterminds/sprig/v3 v3.2.1/go.mod h1:UoaO7Yp8KlPnJIYWTFkMaqPUYKTfGFPhxNuwnnxkKlk=
|
||||
github.com/Masterminds/sprig/v3 v3.2.2 h1:17jRggJu518dr3QaafizSXOjKYp94wKfABxUmyxvxX8=
|
||||
github.com/Masterminds/sprig/v3 v3.2.2/go.mod h1:UoaO7Yp8KlPnJIYWTFkMaqPUYKTfGFPhxNuwnnxkKlk=
|
||||
github.com/Microsoft/go-winio v0.5.2 h1:a9IhgEQBCUEk6QCdml9CiJGhAws+YwffDHEMp1VMrpA=
|
||||
github.com/ProtonMail/go-crypto v0.0.0-20230217124315-7d5c6f04bbb8 h1:wPbRQzjjwFc0ih8puEVAOFGELsn1zoIIYdxvML7mDxA=
|
||||
github.com/ProtonMail/go-crypto v0.0.0-20230217124315-7d5c6f04bbb8/go.mod h1:I0gYDMZ6Z5GRU7l58bNFSkPTFN6Yl12dsUlAZ8xy98g=
|
||||
github.com/acomagu/bufpipe v1.0.4 h1:e3H4WUzM3npvo5uv95QuJM3cQspFNtFBzvJ2oNjKIDQ=
|
||||
github.com/Microsoft/go-winio v0.4.14/go.mod h1:qXqCSQ3Xa7+6tgxaGTIe4Kpcdsi+P8jBhyzoq1bpyYA=
|
||||
github.com/Microsoft/go-winio v0.4.16 h1:FtSW/jqD+l4ba5iPBj9CODVtgfYAD8w2wS923g/cFDk=
|
||||
github.com/Microsoft/go-winio v0.4.16/go.mod h1:XB6nPKklQyQ7GC9LdcBEcBl8PF76WugXOPRXwdLnMv0=
|
||||
github.com/ProtonMail/go-crypto v0.0.0-20210428141323-04723f9f07d7 h1:YoJbenK9C67SkzkDfmQuVln04ygHj3vjZfd9FL+GmQQ=
|
||||
github.com/ProtonMail/go-crypto v0.0.0-20210428141323-04723f9f07d7/go.mod h1:z4/9nQmJSSwwds7ejkxaJwO37dru3geImFUdJlaLzQo=
|
||||
github.com/acomagu/bufpipe v1.0.3 h1:fxAGrHZTgQ9w5QqVItgzwj235/uYZYgbXitB+dLupOk=
|
||||
github.com/acomagu/bufpipe v1.0.3/go.mod h1:mxdxdup/WdsKVreO5GpW4+M/1CE2sMG4jeGJ2sYmHc4=
|
||||
github.com/agext/levenshtein v1.2.2 h1:0S/Yg6LYmFJ5stwQeRp6EeOcCbj7xiqQSdNelsXvaqE=
|
||||
github.com/agext/levenshtein v1.2.2/go.mod h1:JEDfjyjHDjOF/1e4FlBE/PkbqA9OfWu2ki2W0IB5558=
|
||||
github.com/anmitsu/go-shlex v0.0.0-20161002113705-648efa622239/go.mod h1:2FmKhYUyUczH0OGQWaF5ceTx0UBShxjsH6f8oGKYe2c=
|
||||
github.com/apparentlymart/go-textseg v1.0.0/go.mod h1:z96Txxhf3xSFMPmb5X/1W05FF/Nj9VFpLOpjS5yuumk=
|
||||
github.com/apparentlymart/go-textseg/v12 v12.0.0/go.mod h1:S/4uRK2UtaQttw1GenVJEynmyUenKwP++x/+DdGV/Ec=
|
||||
github.com/apparentlymart/go-textseg/v13 v13.0.0 h1:Y+KvPE1NYz0xl601PVImeQfFyEy6iT90AvPUL1NNfNw=
|
||||
github.com/apparentlymart/go-textseg/v13 v13.0.0/go.mod h1:ZK2fH7c4NqDTLtiYLvIkEghdlcqw7yxLeM89kiTRPUo=
|
||||
github.com/armon/go-radix v0.0.0-20180808171621-7fddfc383310/go.mod h1:ufUuZ+zHj4x4TnLV4JWEpy2hxWSpsRywHrMgIH9cCH8=
|
||||
github.com/armon/go-radix v1.0.0 h1:F4z6KzEeeQIMeLFa97iZU6vupzoecKdU5TX24SNppXI=
|
||||
github.com/armon/go-radix v1.0.0/go.mod h1:ufUuZ+zHj4x4TnLV4JWEpy2hxWSpsRywHrMgIH9cCH8=
|
||||
github.com/armon/go-socks5 v0.0.0-20160902184237-e75332964ef5/go.mod h1:wHh0iHkYZB8zMSxRWpUBQtwG5a7fFgvEO+odwuTv2gs=
|
||||
github.com/bgentry/speakeasy v0.1.0 h1:ByYyxL9InA1OWqxJqqp2A5pYHUrCiAL6K3J+LKSsQkY=
|
||||
github.com/bgentry/speakeasy v0.1.0/go.mod h1:+zsyZBPWlz7T6j88CTgSN5bM796AkVf0kBD4zp0CCIs=
|
||||
github.com/bwesterb/go-ristretto v1.2.0/go.mod h1:fUIoIZaG73pV5biE2Blr2xEzDoMj7NFEuV9ekS419A0=
|
||||
github.com/cloudflare/circl v1.1.0/go.mod h1:prBCrKB9DV4poKZY1l9zBXg2QJY7mvgRvtMxxK7fi4I=
|
||||
github.com/cloudflare/circl v1.3.3 h1:fE/Qz0QdIGqeWfnwq0RE0R7MI51s0M2E4Ga9kq5AEMs=
|
||||
github.com/cloudflare/circl v1.3.3/go.mod h1:5XYMA4rFBvNIrhs50XuiBJ15vF2pZn4nnUKZrLbUZFA=
|
||||
github.com/census-instrumentation/opencensus-proto v0.2.1/go.mod h1:f6KPmirojxKA12rnyqOA5BBL4O983OfeGPqjHWSTneU=
|
||||
github.com/client9/misspell v0.3.4/go.mod h1:qj6jICC3Q7zFZvVWo7KLAzC3yx5G7kyvSDkc90ppPyw=
|
||||
github.com/creack/pty v1.1.9/go.mod h1:oKZEueFk5CKHvIhNR5MUki03XCEU+Q6VDXinZuGJ33E=
|
||||
github.com/davecgh/go-spew v1.1.0/go.mod h1:J7Y8YcW2NihsgmVo/mv3lAwl/skON4iLHjSsI+c5H38=
|
||||
github.com/davecgh/go-spew v1.1.1 h1:vj9j/u1bqnvCEfJOwUhtlOARqs3+rkHYY13jYWTU97c=
|
||||
github.com/davecgh/go-spew v1.1.1/go.mod h1:J7Y8YcW2NihsgmVo/mv3lAwl/skON4iLHjSsI+c5H38=
|
||||
github.com/emirpasic/gods v1.18.1 h1:FXtiHYKDGKCW2KzwZKx0iC0PQmdlorYgdFG9jPXJ1Bc=
|
||||
github.com/emirpasic/gods v1.12.0 h1:QAUIPSaCu4G+POclxeqb3F+WPpdKqFGlw36+yOzGlrg=
|
||||
github.com/emirpasic/gods v1.12.0/go.mod h1:YfzfFFoVP/catgzJb4IKIqXjX78Ha8FMSDh3ymbK86o=
|
||||
github.com/envoyproxy/go-control-plane v0.9.1-0.20191026205805-5f8ba28d4473/go.mod h1:YTl/9mNaCwkRvm6d1a2C3ymFceY/DCBVvsKhRF0iEA4=
|
||||
github.com/envoyproxy/protoc-gen-validate v0.1.0/go.mod h1:iSmxcyjqTsJpI2R4NaDN7+kN2VEUnK/pcBlmesArF7c=
|
||||
github.com/fatih/color v1.7.0/go.mod h1:Zm6kSWBoL9eyXnKyktHP6abPY2pDugNf5KwzbycvMj4=
|
||||
github.com/fatih/color v1.13.0 h1:8LOYc1KYPPmyKMuN8QV2DNRWNbLo6LZ0iLs8+mlH53w=
|
||||
github.com/fatih/color v1.13.0/go.mod h1:kLAiJbzzSOZDVNGyDpeOxJ47H46qBXwg5ILebYFFOfk=
|
||||
github.com/flynn/go-shlex v0.0.0-20150515145356-3f9db97f8568/go.mod h1:xEzjJPgXI435gkrCt3MPfRiAkVrwSbHsst4LCFVfpJc=
|
||||
github.com/frankban/quicktest v1.14.3 h1:FJKSZTDHjyhriyC81FLQ0LY93eSai0ZyR/ZIkd3ZUKE=
|
||||
github.com/gliderlabs/ssh v0.2.2/go.mod h1:U7qILu1NlMHj9FlMhZLlkCdDnU1DBEAqr0aevW3Awn0=
|
||||
github.com/go-git/gcfg v1.5.0 h1:Q5ViNfGF8zFgyJWPqYwA7qGFoMTEiBmdlkcfRmpIMa4=
|
||||
github.com/go-git/go-billy/v5 v5.4.1 h1:Uwp5tDRkPr+l/TnbHOQzp+tmJfLceOlbVucgpTz8ix4=
|
||||
github.com/go-git/go-git/v5 v5.6.1 h1:q4ZRqQl4pR/ZJHc1L5CFjGA1a10u76aV1iC+nh+bHsk=
|
||||
github.com/go-git/gcfg v1.5.0/go.mod h1:5m20vg6GwYabIxaOonVkTdrILxQMpEShl1xiMF4ua+E=
|
||||
github.com/go-git/go-billy/v5 v5.2.0/go.mod h1:pmpqyWchKfYfrkb/UVH4otLvyi/5gJlGI4Hb3ZqZ3W0=
|
||||
github.com/go-git/go-billy/v5 v5.3.1 h1:CPiOUAzKtMRvolEKw+bG1PLRpT7D3LIs3/3ey4Aiu34=
|
||||
github.com/go-git/go-billy/v5 v5.3.1/go.mod h1:pmpqyWchKfYfrkb/UVH4otLvyi/5gJlGI4Hb3ZqZ3W0=
|
||||
github.com/go-git/go-git-fixtures/v4 v4.2.1/go.mod h1:K8zd3kDUAykwTdDCr+I0per6Y6vMiRR/nnVTBtavnB0=
|
||||
github.com/go-git/go-git/v5 v5.4.2 h1:BXyZu9t0VkbiHtqrsvdq39UDhGJTl1h55VW6CSC4aY4=
|
||||
github.com/go-git/go-git/v5 v5.4.2/go.mod h1:gQ1kArt6d+n+BGd+/B/I74HwRTLhth2+zti4ihgckDc=
|
||||
github.com/go-test/deep v1.0.3 h1:ZrJSEWsXzPOxaZnFteGEfooLba+ju3FYIbOrS+rQd68=
|
||||
github.com/golang/glog v0.0.0-20160126235308-23def4e6c14b/go.mod h1:SBH7ygxi8pfUlaOkMMuAQtPIUF8ecWP5IEl/CR7VP2Q=
|
||||
github.com/golang/mock v1.1.1/go.mod h1:oTYuIxOrZwtPieC+H1uAHpcLFnEyAGVDL/k47Jfbm0A=
|
||||
github.com/golang/protobuf v1.1.0/go.mod h1:6lQm79b+lXiMfvg/cZm0SGofjICqVBUtrP5yJMmIC1U=
|
||||
github.com/golang/protobuf v1.2.0/go.mod h1:6lQm79b+lXiMfvg/cZm0SGofjICqVBUtrP5yJMmIC1U=
|
||||
github.com/golang/protobuf v1.3.1/go.mod h1:6lQm79b+lXiMfvg/cZm0SGofjICqVBUtrP5yJMmIC1U=
|
||||
github.com/golang/protobuf v1.3.2/go.mod h1:6lQm79b+lXiMfvg/cZm0SGofjICqVBUtrP5yJMmIC1U=
|
||||
github.com/golang/protobuf v1.3.4/go.mod h1:vzj43D7+SQXF/4pzW/hwtAqwc6iTitCiVSaWz5lYuqw=
|
||||
github.com/golang/protobuf v1.4.0-rc.1/go.mod h1:ceaxUfeHdC40wWswd/P6IGgMaK3YpKi5j83Wpe3EHw8=
|
||||
github.com/golang/protobuf v1.4.0-rc.1.0.20200221234624-67d41d38c208/go.mod h1:xKAWHe0F5eneWXFV3EuXVDTCmh+JuBKY0li0aMyXATA=
|
||||
github.com/golang/protobuf v1.4.0-rc.2/go.mod h1:LlEzMj4AhA7rCAGe4KMBDvJI+AwstrUpVNzEA03Pprs=
|
||||
github.com/golang/protobuf v1.4.0-rc.4.0.20200313231945-b860323f09d0/go.mod h1:WU3c8KckQ9AFe+yFwt9sWVRKCVIyN9cPHBJSNnbL67w=
|
||||
github.com/golang/protobuf v1.4.0/go.mod h1:jodUvKwWbYaEsadDk5Fwe5c77LiNKVO9IDvqG2KuDX0=
|
||||
github.com/golang/protobuf v1.4.1/go.mod h1:U8fpvMrcmy5pZrNK1lt4xCsGvpyWQ/VVv6QDs8UjoX8=
|
||||
github.com/golang/protobuf v1.5.0/go.mod h1:FsONVRAS9T7sI+LIUmWTfcYkHO4aIWwzhcaSAoJOfIk=
|
||||
github.com/golang/protobuf v1.5.3 h1:KhyjKVUg7Usr/dYsdSqoFveMYd5ko72D+zANwlG1mmg=
|
||||
github.com/golang/protobuf v1.5.3/go.mod h1:XVQd3VNwM+JqD3oG2Ue2ip4fOMUkwXdXDdiuN0vRsmY=
|
||||
github.com/golang/protobuf v1.5.2 h1:ROPKBNFfQgOUMifHyP+KYbvpjbdoFNs+aK7DXlji0Tw=
|
||||
github.com/golang/protobuf v1.5.2/go.mod h1:XVQd3VNwM+JqD3oG2Ue2ip4fOMUkwXdXDdiuN0vRsmY=
|
||||
github.com/google/go-cmp v0.2.0/go.mod h1:oXzfMopK8JAjlY9xF4vHSVASa0yLyX7SntLO5aqRK0M=
|
||||
github.com/google/go-cmp v0.3.0/go.mod h1:8QqcDgzrUqlUb/G2PQTWiueGozuR1884gddMywk6iLU=
|
||||
github.com/google/go-cmp v0.3.1/go.mod h1:8QqcDgzrUqlUb/G2PQTWiueGozuR1884gddMywk6iLU=
|
||||
github.com/google/go-cmp v0.4.0/go.mod h1:v8dTdLbMG2kIc/vJvl+f65V22dbkXbowE6jgT/gNBxE=
|
||||
github.com/google/go-cmp v0.5.5/go.mod h1:v8dTdLbMG2kIc/vJvl+f65V22dbkXbowE6jgT/gNBxE=
|
||||
github.com/google/go-cmp v0.5.9 h1:O2Tfq5qg4qc4AmwVlvv0oLiVAGB7enBSJ2x2DqQFi38=
|
||||
github.com/google/go-cmp v0.5.9/go.mod h1:17dUlkBOakJ0+DkrSSNjCkIjxS6bF9zb3elmeNGIjoY=
|
||||
@ -57,62 +89,73 @@ github.com/hashicorp/errwrap v1.1.0/go.mod h1:YH+1FKiLXxHSkmPseP+kNlulaMuP3n2brv
|
||||
github.com/hashicorp/go-checkpoint v0.5.0 h1:MFYpPZCnQqQTE18jFwSII6eUQrD/oxMFp3mlgcqk5mU=
|
||||
github.com/hashicorp/go-checkpoint v0.5.0/go.mod h1:7nfLNL10NsxqO4iWuW6tWW0HjZuDrwkBuEQsVcpCOgg=
|
||||
github.com/hashicorp/go-cleanhttp v0.5.0/go.mod h1:JpRdi6/HCYpAwUzNwuwqhbovhLtngrth3wmdIIUrZ80=
|
||||
github.com/hashicorp/go-cleanhttp v0.5.1/go.mod h1:JpRdi6/HCYpAwUzNwuwqhbovhLtngrth3wmdIIUrZ80=
|
||||
github.com/hashicorp/go-cleanhttp v0.5.2 h1:035FKYIWjmULyFRBKPs8TBQoi0x6d9G4xc9neXJWAZQ=
|
||||
github.com/hashicorp/go-cleanhttp v0.5.2/go.mod h1:kO/YDlP8L1346E6Sodw+PrpBSV4/SoxCXGY6BqNFT48=
|
||||
github.com/hashicorp/go-cty v1.4.1-0.20200414143053-d3edf31b6320 h1:1/D3zfFHttUKaCaGKZ/dR2roBXv0vKbSCnssIldfQdI=
|
||||
github.com/hashicorp/go-cty v1.4.1-0.20200414143053-d3edf31b6320/go.mod h1:EiZBMaudVLy8fmjf9Npq1dq9RalhveqZG5w/yz3mHWs=
|
||||
github.com/hashicorp/go-hclog v1.5.0 h1:bI2ocEMgcVlz55Oj1xZNBsVi900c7II+fWDyV9o+13c=
|
||||
github.com/hashicorp/go-hclog v1.5.0/go.mod h1:W4Qnvbt70Wk/zYJryRzDRU/4r0kIg0PVHBcfoyhpF5M=
|
||||
github.com/hashicorp/go-hclog v1.4.0 h1:ctuWFGrhFha8BnnzxqeRGidlEcQkDyL5u8J8t5eA11I=
|
||||
github.com/hashicorp/go-hclog v1.4.0/go.mod h1:W4Qnvbt70Wk/zYJryRzDRU/4r0kIg0PVHBcfoyhpF5M=
|
||||
github.com/hashicorp/go-multierror v1.0.0/go.mod h1:dHtQlpGsu+cZNNAkkCN/P3hoUDHhCYQXV3UM06sGGrk=
|
||||
github.com/hashicorp/go-multierror v1.1.1 h1:H5DkEtf6CXdFp0N0Em5UCwQpXMWke8IA0+lD48awMYo=
|
||||
github.com/hashicorp/go-multierror v1.1.1/go.mod h1:iw975J/qwKPdAO1clOe2L8331t/9/fmwbPZ6JB6eMoM=
|
||||
github.com/hashicorp/go-plugin v1.4.10 h1:xUbmA4jC6Dq163/fWcp8P3JuHilrHHMLNRxzGQJ9hNk=
|
||||
github.com/hashicorp/go-plugin v1.4.10/go.mod h1:6/1TEzT0eQznvI/gV2CM29DLSkAK/e58mUWKVsPaph0=
|
||||
github.com/hashicorp/go-plugin v1.4.8 h1:CHGwpxYDOttQOY7HOWgETU9dyVjOXzniXDqJcYJE1zM=
|
||||
github.com/hashicorp/go-plugin v1.4.8/go.mod h1:viDMjcLJuDui6pXb8U4HVfb8AamCWhHGUjr2IrTF67s=
|
||||
github.com/hashicorp/go-uuid v1.0.0/go.mod h1:6SBZvOh/SIDV7/2o3Jml5SYk/TvGqwFJ/bN7x4byOro=
|
||||
github.com/hashicorp/go-uuid v1.0.3 h1:2gKiV6YVmrJ1i2CKKa9obLvRieoRGviZFL26PcT/Co8=
|
||||
github.com/hashicorp/go-uuid v1.0.3/go.mod h1:6SBZvOh/SIDV7/2o3Jml5SYk/TvGqwFJ/bN7x4byOro=
|
||||
github.com/hashicorp/go-version v1.2.0/go.mod h1:fltr4n8CU8Ke44wwGCBoEymUuxUHl09ZGVZPK5anwXA=
|
||||
github.com/hashicorp/go-version v1.2.1/go.mod h1:fltr4n8CU8Ke44wwGCBoEymUuxUHl09ZGVZPK5anwXA=
|
||||
github.com/hashicorp/go-version v1.6.0 h1:feTTfFNnjP967rlCxM/I9g701jU+RN74YKx2mOkIeek=
|
||||
github.com/hashicorp/go-version v1.6.0/go.mod h1:fltr4n8CU8Ke44wwGCBoEymUuxUHl09ZGVZPK5anwXA=
|
||||
github.com/hashicorp/hc-install v0.5.2 h1:SfwMFnEXVVirpwkDuSF5kymUOhrUxrTq3udEseZdOD0=
|
||||
github.com/hashicorp/hc-install v0.5.2/go.mod h1:9QISwe6newMWIfEiXpzuu1k9HAGtQYgnSH8H9T8wmoI=
|
||||
github.com/hashicorp/hcl/v2 v2.17.0 h1:z1XvSUyXd1HP10U4lrLg5e0JMVz6CPaJvAgxM0KNZVY=
|
||||
github.com/hashicorp/hcl/v2 v2.17.0/go.mod h1:gJyW2PTShkJqQBKpAmPO3yxMxIuoXkOF2TpqXzrQyx4=
|
||||
github.com/hashicorp/hc-install v0.5.0 h1:D9bl4KayIYKEeJ4vUDe9L5huqxZXczKaykSRcmQ0xY0=
|
||||
github.com/hashicorp/hc-install v0.5.0/go.mod h1:JyzMfbzfSBSjoDCRPna1vi/24BEDxFaCPfdHtM5SCdo=
|
||||
github.com/hashicorp/hcl/v2 v2.16.2 h1:mpkHZh/Tv+xet3sy3F9Ld4FyI2tUpWe9x3XtPx9f1a0=
|
||||
github.com/hashicorp/hcl/v2 v2.16.2/go.mod h1:JRmR89jycNkrrqnMmvPDMd56n1rQJ2Q6KocSLCMCXng=
|
||||
github.com/hashicorp/logutils v1.0.0 h1:dLEQVugN8vlakKOUE3ihGLTZJRB4j+M2cdTm/ORI65Y=
|
||||
github.com/hashicorp/logutils v1.0.0/go.mod h1:QIAnNjmIWmVIIkWDTG1z5v++HQmx9WQRO+LraFDTW64=
|
||||
github.com/hashicorp/terraform-exec v0.18.1 h1:LAbfDvNQU1l0NOQlTuudjczVhHj061fNX5H8XZxHlH4=
|
||||
github.com/hashicorp/terraform-exec v0.18.1/go.mod h1:58wg4IeuAJ6LVsLUeD2DWZZoc/bYi6dzhLHzxM41980=
|
||||
github.com/hashicorp/terraform-json v0.17.0 h1:EiA1Wp07nknYQAiv+jIt4dX4Cq5crgP+TsTE45MjMmM=
|
||||
github.com/hashicorp/terraform-json v0.17.0/go.mod h1:Huy6zt6euxaY9knPAFKjUITn8QxUFIe9VuSzb4zn/0o=
|
||||
github.com/hashicorp/terraform-plugin-docs v0.15.0 h1:W5xYB5kCUBqO7lyjE2UMmUBh95c0aAf4jwO0Xuuw2Ec=
|
||||
github.com/hashicorp/terraform-plugin-docs v0.15.0/go.mod h1:K5Taof1Y7sL4dw6Ie0qMFyQnHN0W+RSVMD0iIyFDFJc=
|
||||
github.com/hashicorp/terraform-plugin-go v0.16.0 h1:DSOQ0rz5FUiVO4NUzMs8ln9gsPgHMTsfns7Nk+6gPuE=
|
||||
github.com/hashicorp/terraform-plugin-go v0.16.0/go.mod h1:4sn8bFuDbt+2+Yztt35IbOrvZc0zyEi87gJzsTgCES8=
|
||||
github.com/hashicorp/terraform-plugin-log v0.9.0 h1:i7hOA+vdAItN1/7UrfBqBwvYPQ9TFvymaRGZED3FCV0=
|
||||
github.com/hashicorp/terraform-plugin-log v0.9.0/go.mod h1:rKL8egZQ/eXSyDqzLUuwUYLVdlYeamldAHSxjUFADow=
|
||||
github.com/hashicorp/terraform-plugin-sdk/v2 v2.27.0 h1:I8efBnjuDrgPjNF1MEypHy48VgcTIUY4X6rOFunrR3Y=
|
||||
github.com/hashicorp/terraform-plugin-sdk/v2 v2.27.0/go.mod h1:cUEP4ly/nxlHy5HzD6YRrHydtlheGvGRJDhiWqqVik4=
|
||||
github.com/hashicorp/terraform-registry-address v0.2.1 h1:QuTf6oJ1+WSflJw6WYOHhLgwUiQ0FrROpHPYFtwTYWM=
|
||||
github.com/hashicorp/terraform-registry-address v0.2.1/go.mod h1:BSE9fIFzp0qWsJUUyGquo4ldV9k2n+psif6NYkBRS3Y=
|
||||
github.com/hashicorp/terraform-svchost v0.1.1 h1:EZZimZ1GxdqFRinZ1tpJwVxxt49xc/S52uzrw4x0jKQ=
|
||||
github.com/hashicorp/terraform-svchost v0.1.1/go.mod h1:mNsjQfZyf/Jhz35v6/0LWcv26+X7JPS+buii2c9/ctc=
|
||||
github.com/hashicorp/terraform-json v0.16.0 h1:UKkeWRWb23do5LNAFlh/K3N0ymn1qTOO8c+85Albo3s=
|
||||
github.com/hashicorp/terraform-json v0.16.0/go.mod h1:v0Ufk9jJnk6tcIZvScHvetlKfiNTC+WS21mnXIlc0B0=
|
||||
github.com/hashicorp/terraform-plugin-docs v0.14.1 h1:MikFi59KxrP/ewrZoaowrB9he5Vu4FtvhamZFustiA4=
|
||||
github.com/hashicorp/terraform-plugin-docs v0.14.1/go.mod h1:k2NW8+t113jAus6bb5tQYQgEAX/KueE/u8X2Z45V1GM=
|
||||
github.com/hashicorp/terraform-plugin-go v0.14.3 h1:nlnJ1GXKdMwsC8g1Nh05tK2wsC3+3BL/DBBxFEki+j0=
|
||||
github.com/hashicorp/terraform-plugin-go v0.14.3/go.mod h1:7ees7DMZ263q8wQ6E4RdIdR6nHHJtrdt4ogX5lPkX1A=
|
||||
github.com/hashicorp/terraform-plugin-log v0.8.0 h1:pX2VQ/TGKu+UU1rCay0OlzosNKe4Nz1pepLXj95oyy0=
|
||||
github.com/hashicorp/terraform-plugin-log v0.8.0/go.mod h1:1myFrhVsBLeylQzYYEV17VVjtG8oYPRFdaZs7xdW2xs=
|
||||
github.com/hashicorp/terraform-plugin-sdk/v2 v2.26.1 h1:G9WAfb8LHeCxu7Ae8nc1agZlQOSCUWsb610iAogBhCs=
|
||||
github.com/hashicorp/terraform-plugin-sdk/v2 v2.26.1/go.mod h1:xcOSYlRVdPLmDUoqPhO9fiO/YCN/l6MGYeTzGt5jgkQ=
|
||||
github.com/hashicorp/terraform-registry-address v0.1.0 h1:W6JkV9wbum+m516rCl5/NjKxCyTVaaUBbzYcMzBDO3U=
|
||||
github.com/hashicorp/terraform-registry-address v0.1.0/go.mod h1:EnyO2jYO6j29DTHbJcm00E5nQTFeTtyZH3H5ycydQ5A=
|
||||
github.com/hashicorp/terraform-svchost v0.0.0-20200729002733-f050f53b9734 h1:HKLsbzeOsfXmKNpr3GiT18XAblV0BjCbzL8KQAMZGa0=
|
||||
github.com/hashicorp/terraform-svchost v0.0.0-20200729002733-f050f53b9734/go.mod h1:kNDNcF7sN4DocDLBkQYz73HGKwN1ANB1blq4lIYLYvg=
|
||||
github.com/hashicorp/yamux v0.0.0-20181012175058-2f1d1f20f75d h1:kJCB4vdITiW1eC1vq2e6IsrXKrZit1bv/TDYFGMp4BQ=
|
||||
github.com/hashicorp/yamux v0.0.0-20181012175058-2f1d1f20f75d/go.mod h1:+NfK9FKeTrX5uv1uIXGdwYDTeHna2qgaIlx54MXqjAM=
|
||||
github.com/huandu/xstrings v1.3.1/go.mod h1:y5/lhBue+AyNmUVz9RLU9xbLR0o4KIIExikq4ovT0aE=
|
||||
github.com/huandu/xstrings v1.3.2 h1:L18LIDzqlW6xN2rEkpdV8+oL/IXWJ1APd+vsdYy4Wdw=
|
||||
github.com/huandu/xstrings v1.3.2/go.mod h1:y5/lhBue+AyNmUVz9RLU9xbLR0o4KIIExikq4ovT0aE=
|
||||
github.com/imdario/mergo v0.3.11/go.mod h1:jmQim1M+e3UYxmgPu/WyfjB3N3VflVyUjjjwH0dnCYA=
|
||||
github.com/imdario/mergo v0.3.12/go.mod h1:jmQim1M+e3UYxmgPu/WyfjB3N3VflVyUjjjwH0dnCYA=
|
||||
github.com/imdario/mergo v0.3.13 h1:lFzP57bqS/wsqKssCGmtLAb8A0wKjLGrve2q3PPVcBk=
|
||||
github.com/imdario/mergo v0.3.13/go.mod h1:4lJ1jqUDcsbIECGy0RUJAXNIhg+6ocWgb1ALK2O4oXg=
|
||||
github.com/jbenet/go-context v0.0.0-20150711004518-d14ea06fba99 h1:BQSFePA1RWJOlocH6Fxy8MmwDt+yVQYULKfN0RoTN8A=
|
||||
github.com/jbenet/go-context v0.0.0-20150711004518-d14ea06fba99/go.mod h1:1lJo3i6rXxKeerYnT8Nvf0QmHCRC1n8sfWVwXF2Frvo=
|
||||
github.com/jessevdk/go-flags v1.5.0/go.mod h1:Fw0T6WPc1dYxT4mKEZRfG5kJhaTDP9pj1c2EWnYs/m4=
|
||||
github.com/jhump/protoreflect v1.6.0 h1:h5jfMVslIg6l29nsMs0D8Wj17RDVdNYti0vDN/PZZoE=
|
||||
github.com/kevinburke/ssh_config v1.2.0 h1:x584FjTGwHzMwvHx18PXxbBVzfnxogHaAReU4gf13a4=
|
||||
github.com/kevinburke/ssh_config v0.0.0-20201106050909-4977a11b4351 h1:DowS9hvgyYSX4TO5NpyC606/Z4SxnNYbT+WX27or6Ck=
|
||||
github.com/kevinburke/ssh_config v0.0.0-20201106050909-4977a11b4351/go.mod h1:CT57kijsi8u/K/BOFA39wgDQJ9CxiF4nAY/ojJ6r6mM=
|
||||
github.com/konsorten/go-windows-terminal-sequences v1.0.1/go.mod h1:T0+1ngSBFLxvqU3pZ+m/2kptfBszLMUkC4ZK/EgS/cQ=
|
||||
github.com/kr/pretty v0.1.0/go.mod h1:dAy3ld7l9f0ibDNOQOHHMYYIIbhfbHSm3C4ZsoJORNo=
|
||||
github.com/kr/pretty v0.2.1/go.mod h1:ipq/a2n7PKx3OHsz4KJII5eveXtPO4qwEXGdVfWzfnI=
|
||||
github.com/kr/pretty v0.3.0 h1:WgNl7dwNpEZ6jJ9k1snq4pZsg7DOEN8hP9Xw0Tsjwk0=
|
||||
github.com/kr/pty v1.1.1/go.mod h1:pFQYn66WHrOpPYNljwOMqo10TkYh1fy3cYio2l3bCsQ=
|
||||
github.com/kr/text v0.1.0/go.mod h1:4Jbv+DJW3UT/LiOwJeYQe1efqtUx/iVham/4vfdArNI=
|
||||
github.com/kr/text v0.2.0 h1:5Nx0Ya0ZqY2ygV366QzturHI13Jq95ApcVaJBhpS+AY=
|
||||
github.com/kr/text v0.2.0/go.mod h1:eLer722TekiGuMkidMxC/pM04lWEeraHUUmBw8l2grE=
|
||||
github.com/kylelemons/godebug v0.0.0-20170820004349-d65d576e9348/go.mod h1:B69LEHPfb2qLo0BaaOLcbitczOKLWTsrBG9LczfCD4k=
|
||||
github.com/kylelemons/godebug v1.1.0 h1:RPNrshWIDI6G2gRW9EHilWtl7Z6Sb1BR0xunSBf0SNc=
|
||||
github.com/matryer/is v1.2.0/go.mod h1:2fLPjFQM9rhQ15aVEtbuwhJinnOqrmgXPNdZsdwlWXA=
|
||||
github.com/mattn/go-colorable v0.0.9/go.mod h1:9vuHe8Xs5qXnSaW/c/ABM9alt+Vo+STaOChaDxuIBZU=
|
||||
github.com/mattn/go-colorable v0.1.9/go.mod h1:u6P/XSegPjTcexA+o6vUJrdnUu04hMope9wVRipJSqc=
|
||||
github.com/mattn/go-colorable v0.1.12/go.mod h1:u5H1YNBxpqRaxsYJYSkiCWKzEfiAb1Gb520KVy5xxl4=
|
||||
@ -128,6 +171,8 @@ github.com/mitchellh/cli v1.1.5/go.mod h1:v8+iFts2sPIKUV1ltktPXMCC8fumSKFItNcD2c
|
||||
github.com/mitchellh/copystructure v1.0.0/go.mod h1:SNtv71yrdKgLRyLFxmLdkAbkKEFWgYaq1OVrnRcwhnw=
|
||||
github.com/mitchellh/copystructure v1.2.0 h1:vpKXTN4ewci03Vljg/q9QvCGUDttBOGBIa15WveJJGw=
|
||||
github.com/mitchellh/copystructure v1.2.0/go.mod h1:qLl+cE2AmVv+CoeAwDPye/v+N2HKCj9FbZEVFJRxO9s=
|
||||
github.com/mitchellh/go-homedir v1.1.0 h1:lukF9ziXFxDFPkA1vsr5zpc1XuPDn/wFntq5mG+4E0Y=
|
||||
github.com/mitchellh/go-homedir v1.1.0/go.mod h1:SfyaCUpYCn1Vlf4IUYiD9fPX4A5wJrkLzIz1N1q0pr0=
|
||||
github.com/mitchellh/go-testing-interface v1.14.1 h1:jrgshOhYAUVNMAJiKbEu7EqAwgJJ2JqpQmpLJOu07cU=
|
||||
github.com/mitchellh/go-testing-interface v1.14.1/go.mod h1:gfgS7OtZj6MA4U1UrDRp04twqAjfvlZyCfX3sDjEym8=
|
||||
github.com/mitchellh/go-wordwrap v1.0.0 h1:6GlHJ/LTGMrIJbwgdqdl2eEH8o+Exx/0m8ir9Gns0u4=
|
||||
@ -137,106 +182,185 @@ github.com/mitchellh/mapstructure v1.5.0/go.mod h1:bFUtVrKA4DC2yAKiSyO/QUcy7e+RR
|
||||
github.com/mitchellh/reflectwalk v1.0.0/go.mod h1:mSTlrgnPZtwu0c4WaC2kGObEpuNDbx0jmZXqmk4esnw=
|
||||
github.com/mitchellh/reflectwalk v1.0.2 h1:G2LzWKi524PWgd3mLHV8Y5k7s6XUvT0Gef6zxSIeXaQ=
|
||||
github.com/mitchellh/reflectwalk v1.0.2/go.mod h1:mSTlrgnPZtwu0c4WaC2kGObEpuNDbx0jmZXqmk4esnw=
|
||||
github.com/niemeyer/pretty v0.0.0-20200227124842-a10e7caefd8e/go.mod h1:zD1mROLANZcx1PVRCS0qkT7pwLkGfwJo4zjcN/Tysno=
|
||||
github.com/oklog/run v1.0.0 h1:Ru7dDtJNOyC66gQ5dQmaCa0qIsAUFY3sFpK1Xk8igrw=
|
||||
github.com/oklog/run v1.0.0/go.mod h1:dlhp/R75TPv97u0XWUtDeV/lRKWPKSdTuV0TZvrmrQA=
|
||||
github.com/pjbgf/sha1cd v0.3.0 h1:4D5XXmUUBUl/xQ6IjCkEAbqXskkq/4O7LmGn0AqMDs4=
|
||||
github.com/pkg/errors v0.8.1/go.mod h1:bwawxfHBFNV+L2hUp1rHADufV3IMtnDRdf1r5NINEl0=
|
||||
github.com/pkg/errors v0.9.1/go.mod h1:bwawxfHBFNV+L2hUp1rHADufV3IMtnDRdf1r5NINEl0=
|
||||
github.com/pmezard/go-difflib v1.0.0 h1:4DBwDE0NGyQoBHbLQYPwSUPoCMWR5BEzIk/f1lZbAQM=
|
||||
github.com/pmezard/go-difflib v1.0.0/go.mod h1:iKH77koFhYxTK1pcRnkKkqfTogsbg7gZNVY4sRDYZ/4=
|
||||
github.com/posener/complete v1.1.1/go.mod h1:em0nMJCgc9GFtwrmVmEMR/ZL6WyhyjMBndrE9hABlRI=
|
||||
github.com/posener/complete v1.2.3 h1:NP0eAhjcjImqslEwo/1hq7gpajME0fTLTezBKDqfXqo=
|
||||
github.com/posener/complete v1.2.3/go.mod h1:WZIdtGGp+qx0sLrYKtIRAruyNpv6hFCicSgv7Sy7s/s=
|
||||
github.com/prometheus/client_model v0.0.0-20190812154241-14fe0d1b01d4/go.mod h1:xMI15A0UPsDsEKsMN9yxemIoYk6Tm2C1GtYGdfGttqA=
|
||||
github.com/rogpeppe/go-internal v1.6.1 h1:/FiVV8dS/e+YqF2JvO3yXRFbBLTIuSDkuC7aBOAvL+k=
|
||||
github.com/russross/blackfriday v1.6.0 h1:KqfZb0pUVN2lYqZUYRddxF4OR8ZMURnJIG5Y3VRLtww=
|
||||
github.com/russross/blackfriday v1.6.0/go.mod h1:ti0ldHuxg49ri4ksnFxlkCfN+hvslNlmVHqNRXXJNAY=
|
||||
github.com/sergi/go-diff v1.1.0/go.mod h1:STckp+ISIX8hZLjrqAeVduY0gWCT9IjLuqbuNXdaHfM=
|
||||
github.com/sergi/go-diff v1.2.0 h1:XU+rvMAioB0UC3q1MFrIQy4Vo5/4VsRDQQXHsEya6xQ=
|
||||
github.com/shopspring/decimal v1.2.0/go.mod h1:DKyhrW/HYNuLGql+MJL6WCR6knT2jwCFRcu2hWCYk4o=
|
||||
github.com/shopspring/decimal v1.3.1 h1:2Usl1nmF/WZucqkFZhnfFYxxxu8LG21F6nPQBE5gKV8=
|
||||
github.com/shopspring/decimal v1.3.1/go.mod h1:DKyhrW/HYNuLGql+MJL6WCR6knT2jwCFRcu2hWCYk4o=
|
||||
github.com/skeema/knownhosts v1.1.0 h1:Wvr9V0MxhjRbl3f9nMnKnFfiWTJmtECJ9Njkea3ysW0=
|
||||
github.com/sirupsen/logrus v1.4.1/go.mod h1:ni0Sbl8bgC9z8RoU9G6nDWqqs/fq4eDPysMBDgk/93Q=
|
||||
github.com/spf13/cast v1.3.1/go.mod h1:Qx5cxh0v+4UWYiBimWS+eyWzqEqokIECu5etghLkUJE=
|
||||
github.com/spf13/cast v1.5.0 h1:rj3WzYc11XZaIZMPKmwP96zkFEnnAmV8s6XbB2aY32w=
|
||||
github.com/spf13/cast v1.5.0/go.mod h1:SpXXQ5YoyJw6s3/6cMTQuxvgRl3PCJiyaX9p6b155UU=
|
||||
github.com/stretchr/objx v0.1.0/go.mod h1:HFkY916IF+rwdDfMAkV7OtwuqBVzrE8GR6GFx+wExME=
|
||||
github.com/stretchr/objx v0.1.1/go.mod h1:HFkY916IF+rwdDfMAkV7OtwuqBVzrE8GR6GFx+wExME=
|
||||
github.com/stretchr/testify v1.2.2/go.mod h1:a8OnRcib4nhh0OaRAV+Yts87kKdq0PP7pXfy6kDkUVs=
|
||||
github.com/stretchr/testify v1.4.0/go.mod h1:j7eGeouHqKxXV5pUuKE4zz7dFj8WfuZ+81PSLYec5m4=
|
||||
github.com/stretchr/testify v1.5.1/go.mod h1:5W2xD1RspED5o8YsWQXVCued0rvSQ+mT+I5cxcmMvtA=
|
||||
github.com/stretchr/testify v1.6.1/go.mod h1:6Fq8oRcR53rry900zMqJjRRixrwX3KX962/h/Wwjteg=
|
||||
github.com/stretchr/testify v1.7.0/go.mod h1:6Fq8oRcR53rry900zMqJjRRixrwX3KX962/h/Wwjteg=
|
||||
github.com/stretchr/testify v1.7.2 h1:4jaiDzPyXQvSd7D0EjG45355tLlV3VOECpq10pLC+8s=
|
||||
github.com/stretchr/testify v1.7.2/go.mod h1:R6va5+xMeoiuVRoj+gSkQ7d3FALtqAAGI1FQKckRals=
|
||||
github.com/vmihailenco/msgpack v3.3.3+incompatible/go.mod h1:fy3FlTQTDXWkZ7Bh6AcGMlsjHatGryHQYUTf1ShIgkk=
|
||||
github.com/vmihailenco/msgpack v4.0.4+incompatible h1:dSLoQfGFAo3F6OoNhwUmLwVgaUXK79GlxNBwueZn0xI=
|
||||
github.com/vmihailenco/msgpack v4.0.4+incompatible/go.mod h1:fy3FlTQTDXWkZ7Bh6AcGMlsjHatGryHQYUTf1ShIgkk=
|
||||
github.com/vmihailenco/msgpack/v5 v5.3.5 h1:5gO0H1iULLWGhs2H5tbAHIZTV8/cYafcFOr9znI5mJU=
|
||||
github.com/vmihailenco/msgpack/v5 v5.3.5/go.mod h1:7xyJ9e+0+9SaZT0Wt1RGleJXzli6Q/V5KbhBonMG9jc=
|
||||
github.com/vmihailenco/tagparser/v2 v2.0.0 h1:y09buUbR+b5aycVFQs/g70pqKVZNBmxwAhO7/IwNM9g=
|
||||
github.com/vmihailenco/tagparser/v2 v2.0.0/go.mod h1:Wri+At7QHww0WTrCBeu4J6bNtoV6mEfg5OIWRZA9qds=
|
||||
github.com/xanzy/ssh-agent v0.3.3 h1:+/15pJfg/RsTxqYcX6fHqOXZwwMP+2VyYWJeWM2qQFM=
|
||||
github.com/vmihailenco/msgpack/v4 v4.3.12 h1:07s4sz9IReOgdikxLTKNbBdqDMLsjPKXwvCazn8G65U=
|
||||
github.com/vmihailenco/msgpack/v4 v4.3.12/go.mod h1:gborTTJjAo/GWTqqRjrLCn9pgNN+NXzzngzBKDPIqw4=
|
||||
github.com/vmihailenco/tagparser v0.1.1 h1:quXMXlA39OCbd2wAdTsGDlK9RkOk6Wuw+x37wVyIuWY=
|
||||
github.com/vmihailenco/tagparser v0.1.1/go.mod h1:OeAg3pn3UbLjkWt+rN9oFYB6u/cQgqMEUPoW2WPyhdI=
|
||||
github.com/xanzy/ssh-agent v0.3.0 h1:wUMzuKtKilRgBAD1sUb8gOwwRr2FGoBVumcjoOACClI=
|
||||
github.com/xanzy/ssh-agent v0.3.0/go.mod h1:3s9xbODqPuuhK9JV1R321M/FlMZSBvE5aY6eAcqrDh0=
|
||||
github.com/yuin/goldmark v1.1.25/go.mod h1:3hX8gzYuyVAZsxl0MRgGTJEmQBFcNTphYh9decYSb74=
|
||||
github.com/zclconf/go-cty v1.13.2 h1:4GvrUxe/QUDYuJKAav4EYqdM47/kZa672LwmXFmEKT0=
|
||||
github.com/zclconf/go-cty v1.13.2/go.mod h1:YKQzy/7pZ7iq2jNFzy5go57xdxdWoLLpaEp4u238AE0=
|
||||
github.com/yuin/goldmark v1.4.13/go.mod h1:6yULJ656Px+3vBD8DxQVa3kxgyrAnzto9xy5taEt/CY=
|
||||
github.com/zclconf/go-cty v1.1.0/go.mod h1:xnAOWiHeOqg2nWS62VtQ7pbOu17FtxJNW8RLEih+O3s=
|
||||
github.com/zclconf/go-cty v1.13.1 h1:0a6bRwuiSHtAmqCqNOE+c2oHgepv0ctoxU4FUe43kwc=
|
||||
github.com/zclconf/go-cty v1.13.1/go.mod h1:YKQzy/7pZ7iq2jNFzy5go57xdxdWoLLpaEp4u238AE0=
|
||||
golang.org/x/crypto v0.0.0-20190219172222-a4c6cb3142f2/go.mod h1:6SG95UA2DQfeDnfUPMdvaQW0Q7yPrPDi9nlGo2tz2b4=
|
||||
golang.org/x/crypto v0.0.0-20190308221718-c2843e01d9a2/go.mod h1:djNgcEr1/C05ACkg1iLfiJU5Ep61QUkGW8qpdssI0+w=
|
||||
golang.org/x/crypto v0.0.0-20191011191535-87dc89f01550/go.mod h1:yigFU9vqHzYiE8UmvKecakEJjdnWj3jj499lnFckfCI=
|
||||
golang.org/x/crypto v0.0.0-20200414173820-0848c9571904/go.mod h1:LzIPMQfyMNhhGPhUkYOs5KpL4U8rLKemX1yGLhDgUto=
|
||||
golang.org/x/crypto v0.0.0-20200820211705-5c72a883971a/go.mod h1:LzIPMQfyMNhhGPhUkYOs5KpL4U8rLKemX1yGLhDgUto=
|
||||
golang.org/x/crypto v0.0.0-20210322153248-0c34fe9e7dc2/go.mod h1:T9bdIzuCu7OtxOm1hfPfRQxPLYneinmdGuTeoZ9dtd4=
|
||||
golang.org/x/crypto v0.0.0-20210421170649-83a5a9bb288b/go.mod h1:T9bdIzuCu7OtxOm1hfPfRQxPLYneinmdGuTeoZ9dtd4=
|
||||
golang.org/x/crypto v0.0.0-20210921155107-089bfa567519/go.mod h1:GvvjBRRGRdwPK5ydBHafDWAxML/pGHZbMvKqRZ5+Abc=
|
||||
golang.org/x/crypto v0.10.0 h1:LKqV2xt9+kDzSTfOhx4FrkEBcMrAgHSYgzywV9zcGmM=
|
||||
golang.org/x/crypto v0.10.0/go.mod h1:o4eNf7Ede1fv+hwOwZsTHl9EsPFO6q6ZvYR8vYfY45I=
|
||||
golang.org/x/crypto v0.5.0/go.mod h1:NK/OQwhpMQP3MwtdjgLlYHnH9ebylxKWv3e0fK+mkQU=
|
||||
golang.org/x/crypto v0.7.0 h1:AvwMYaRytfdeVt3u6mLaxYtErKYjxA2OXjJ1HHq6t3A=
|
||||
golang.org/x/crypto v0.7.0/go.mod h1:pYwdfH91IfpZVANVyUOhSIPZaFoJGxTFbZhFTx+dXZU=
|
||||
golang.org/x/exp v0.0.0-20190121172915-509febef88a4/go.mod h1:CJ0aWSM057203Lf6IL+f9T1iT9GByDxfZKAQTCR3kQA=
|
||||
golang.org/x/lint v0.0.0-20181026193005-c67002cb31c3/go.mod h1:UVdnD1Gm6xHRNCYTkRU2/jEulfH38KcIWyp/GAMgvoE=
|
||||
golang.org/x/lint v0.0.0-20190227174305-5b3e6a55c961/go.mod h1:wehouNa3lNwaWXcvxsM5YxQ5yQlVC4a0KAMCusXpPoU=
|
||||
golang.org/x/lint v0.0.0-20190313153728-d0100b6bd8b3/go.mod h1:6SW0HCj/g11FgYtHlgUYUwCkIfeOF89ocIRzGO/8vkc=
|
||||
golang.org/x/mod v0.2.0/go.mod h1:s0Qsj1ACt9ePp/hMypM3fl4fZqREWJwdYDEqhRiZZUA=
|
||||
golang.org/x/mod v0.10.0 h1:lFO9qtOdlre5W1jxS3r/4szv2/6iXxScdzjoBMXNhYk=
|
||||
golang.org/x/mod v0.10.0/go.mod h1:iBbtSCu2XBx23ZKBPSOrRkjjQPZFPuis4dIYUhu/chs=
|
||||
golang.org/x/mod v0.6.0-dev.0.20220419223038-86c51ed26bb4/go.mod h1:jJ57K6gSWd91VN4djpZkiMVwK6gcyfeH4XE8wZrZaV4=
|
||||
golang.org/x/mod v0.7.0/go.mod h1:iBbtSCu2XBx23ZKBPSOrRkjjQPZFPuis4dIYUhu/chs=
|
||||
golang.org/x/mod v0.8.0 h1:LUYupSeNrTNCGzR/hVBk2NHZO4hXcVaW1k4Qx7rjPx8=
|
||||
golang.org/x/mod v0.8.0/go.mod h1:iBbtSCu2XBx23ZKBPSOrRkjjQPZFPuis4dIYUhu/chs=
|
||||
golang.org/x/net v0.0.0-20180724234803-3673e40ba225/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4=
|
||||
golang.org/x/net v0.0.0-20180811021610-c39426892332/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4=
|
||||
golang.org/x/net v0.0.0-20180826012351-8a410e7b638d/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4=
|
||||
golang.org/x/net v0.0.0-20190108225652-1e06a53dbb7e/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4=
|
||||
golang.org/x/net v0.0.0-20190213061140-3a22650c66bd/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4=
|
||||
golang.org/x/net v0.0.0-20190311183353-d8887717615a/go.mod h1:t9HGtf8HONx5eT2rtn7q6eTqICYqUVnKs3thJo3Qplg=
|
||||
golang.org/x/net v0.0.0-20190404232315-eb5bcb51f2a3/go.mod h1:t9HGtf8HONx5eT2rtn7q6eTqICYqUVnKs3thJo3Qplg=
|
||||
golang.org/x/net v0.0.0-20190603091049-60506f45cf65/go.mod h1:HSz+uSET+XFnRR8LxR5pz3Of3rY3CfYBVs4xY44aLks=
|
||||
golang.org/x/net v0.0.0-20190620200207-3b0461eec859/go.mod h1:z5CRVTTTmAJ677TzLLGU+0bjPO0LkuOLi4/5GtJWs/s=
|
||||
golang.org/x/net v0.0.0-20191009170851-d66e71096ffb/go.mod h1:z5CRVTTTmAJ677TzLLGU+0bjPO0LkuOLi4/5GtJWs/s=
|
||||
golang.org/x/net v0.0.0-20200226121028-0de0cce0169b/go.mod h1:z5CRVTTTmAJ677TzLLGU+0bjPO0LkuOLi4/5GtJWs/s=
|
||||
golang.org/x/net v0.0.0-20200301022130-244492dfa37a/go.mod h1:z5CRVTTTmAJ677TzLLGU+0bjPO0LkuOLi4/5GtJWs/s=
|
||||
golang.org/x/net v0.0.0-20210119194325-5f4716e94777/go.mod h1:m0MpNAwzfU5UDzcl9v0D8zg8gWTRqZa9RBIspLL5mdg=
|
||||
golang.org/x/net v0.0.0-20210226172049-e18ecbb05110/go.mod h1:m0MpNAwzfU5UDzcl9v0D8zg8gWTRqZa9RBIspLL5mdg=
|
||||
golang.org/x/net v0.11.0 h1:Gi2tvZIJyBtO9SDr1q9h5hEQCp/4L2RQ+ar0qjx2oNU=
|
||||
golang.org/x/net v0.11.0/go.mod h1:2L/ixqYpgIVXmeoSA/4Lu7BzTG4KIyPIryS4IsOd1oQ=
|
||||
golang.org/x/net v0.0.0-20210326060303-6b1517762897/go.mod h1:uSPa2vr4CLtc/ILN5odXGNXS6mhrKVzTaCXzk9m6W3k=
|
||||
golang.org/x/net v0.0.0-20220722155237-a158d28d115b/go.mod h1:XRhObCWvk6IyKnWLug+ECip1KBveYUHfp+8e9klMJ9c=
|
||||
golang.org/x/net v0.5.0/go.mod h1:DivGGAXEgPSlEBzxGzZI+ZLohi+xUj054jfeKui00ws=
|
||||
golang.org/x/net v0.8.0 h1:Zrh2ngAOFYneWTAIAPethzeaQLuHwhuBkuV6ZiRnUaQ=
|
||||
golang.org/x/net v0.8.0/go.mod h1:QVkue5JL9kW//ek3r6jTKnTFis1tRmNAW2P1shuFdJc=
|
||||
golang.org/x/oauth2 v0.0.0-20180821212333-d2e6202438be/go.mod h1:N/0e6XlmueqKjAGxoOufVs8QHGRruUQn6yWY3a++T0U=
|
||||
golang.org/x/oauth2 v0.0.0-20190604053449-0f29369cfe45/go.mod h1:gOpvHmFTYa4IltrdGE7lF6nIHvwfUNPOp7c8zoXwtLw=
|
||||
golang.org/x/sync v0.0.0-20180314180146-1d60e4601c6f/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
|
||||
golang.org/x/sync v0.0.0-20181108010431-42b317875d0f/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
|
||||
golang.org/x/sync v0.0.0-20181221193216-37e7f081c4d4/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
|
||||
golang.org/x/sync v0.0.0-20190423024810-112230192c58/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
|
||||
golang.org/x/sync v0.0.0-20190911185100-cd5d95a43a6e/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
|
||||
golang.org/x/sync v0.0.0-20220722155255-886fb9371eb4/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM=
|
||||
golang.org/x/sys v0.0.0-20180830151530-49385e6e1522/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
|
||||
golang.org/x/sys v0.0.0-20180905080454-ebe1bf3edb33/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
|
||||
golang.org/x/sys v0.0.0-20190215142949-d0b11bdaac8a/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
|
||||
golang.org/x/sys v0.0.0-20190412213103-97732733099d/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20190507160741-ecd444e8653b/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20190916202348-b4ddaad3f8a3/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20200116001909-b77594299b42/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20200223170610-d5e6a3e2c0ae/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20200302150141-5c8b2ff67527/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20201119102817-f84b799fce68/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20210320140829-1e4c9ba3b0c4/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20210324051608-47abb6519492/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20210502180810-71e4cd670f79/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
|
||||
golang.org/x/sys v0.0.0-20210615035016-665e8c7367d1/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
|
||||
golang.org/x/sys v0.0.0-20210630005230-0f9fa26af87c/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
|
||||
golang.org/x/sys v0.0.0-20210927094055-39ccf1dd6fa6/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
|
||||
golang.org/x/sys v0.0.0-20211007075335-d3039528d8ac/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
|
||||
golang.org/x/sys v0.0.0-20220503163025-988cb79eb6c6/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
|
||||
golang.org/x/sys v0.0.0-20220520151302-bc2c85ada10a/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
|
||||
golang.org/x/sys v0.0.0-20220722155257-8c9f86f7a55f/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
|
||||
golang.org/x/sys v0.0.0-20220811171246-fbc7d0a398ab/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
|
||||
golang.org/x/sys v0.9.0 h1:KS/R3tvhPqvJvwcKfnBHJwwthS11LRhmM5D59eEXa0s=
|
||||
golang.org/x/sys v0.9.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
|
||||
golang.org/x/sys v0.4.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
|
||||
golang.org/x/sys v0.6.0 h1:MVltZSvRTcU2ljQOhs94SXPftV6DCNnZViHeQps87pQ=
|
||||
golang.org/x/sys v0.6.0/go.mod h1:oPkhp1MJrh7nUepCBck5+mAzfO9JrbApNNgaTdGDITg=
|
||||
golang.org/x/term v0.0.0-20201126162022-7de9c90e9dd1/go.mod h1:bj7SfCRtBDWHUb9snDiAeCFNEtKQo2Wmx5Cou7ajbmo=
|
||||
golang.org/x/term v0.0.0-20210927222741-03fcf44c2211/go.mod h1:jbD1KX2456YbFQfuXm/mYQcufACuNUgVhRMnK/tPxf8=
|
||||
golang.org/x/term v0.4.0/go.mod h1:9P2UbLfCdcvo3p/nzKvsmas4TnlujnuoV9hGgYzW1lQ=
|
||||
golang.org/x/text v0.3.0/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ=
|
||||
golang.org/x/text v0.3.2/go.mod h1:bEr9sfX3Q8Zfm5fL9x+3itogRgK3+ptLWKqgva+5dAk=
|
||||
golang.org/x/text v0.3.3/go.mod h1:5Zoc/QRtKVWzQhOtBMvqHzDpF6irO9z98xDceosuGiQ=
|
||||
golang.org/x/text v0.10.0 h1:UpjohKhiEgNc0CSauXmwYftY1+LlaC75SJwh0SgCX58=
|
||||
golang.org/x/text v0.10.0/go.mod h1:TvPlkZtksWOMsz7fbANvkp4WM8x/WCo/om8BMLbz+aE=
|
||||
golang.org/x/text v0.3.7/go.mod h1:u+2+/6zg+i71rQMx5EYifcz6MCKuco9NR6JIITiCfzQ=
|
||||
golang.org/x/text v0.6.0/go.mod h1:mrYo+phRRbMaCq/xk9113O4dZlRixOauAjOtrjsXDZ8=
|
||||
golang.org/x/text v0.8.0 h1:57P1ETyNKtuIjB4SRd15iJxuhj8Gc416Y78H3qgMh68=
|
||||
golang.org/x/text v0.8.0/go.mod h1:e1OnstbJyHTd6l/uOt8jFFHp6TRDWZR/bV3emEE/zU8=
|
||||
golang.org/x/tools v0.0.0-20180917221912-90fa682c2a6e/go.mod h1:n7NCudcB/nEzxVGmLbDWY5pfWTLqBcC2KZ6jyYvM4mQ=
|
||||
golang.org/x/tools v0.0.0-20190114222345-bf090417da8b/go.mod h1:n7NCudcB/nEzxVGmLbDWY5pfWTLqBcC2KZ6jyYvM4mQ=
|
||||
golang.org/x/tools v0.0.0-20190226205152-f727befe758c/go.mod h1:9Yl7xja0Znq3iFh3HoIrodX9oNMXvdceNzlUR8zjMvY=
|
||||
golang.org/x/tools v0.0.0-20190311212946-11955173bddd/go.mod h1:LCzVGOaR6xXOjkQ3onu1FJEFr0SW1gC7cKk1uF8kGRs=
|
||||
golang.org/x/tools v0.0.0-20190524140312-2c0ae7006135/go.mod h1:RgjU9mgBXZiqYHBnxXauZ1Gv1EHHAz9KjViQ78xBX0Q=
|
||||
golang.org/x/tools v0.0.0-20191119224855-298f0cb1881e/go.mod h1:b+2E5dAYhXwXZwtnZ6UAqBI28+e2cm9otk0dWdXHAEo=
|
||||
golang.org/x/tools v0.0.0-20200325010219-a49f79bcc224/go.mod h1:Sl4aGygMT6LrqrWclx+PTx3U+LnKx/seiNR+3G19Ar8=
|
||||
golang.org/x/tools v0.1.12/go.mod h1:hNGJHUnrk76NpqgfD5Aqm5Crs+Hm0VOH/i9J2+nxYbc=
|
||||
golang.org/x/xerrors v0.0.0-20190717185122-a985d3407aa7/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
|
||||
golang.org/x/xerrors v0.0.0-20191011141410-1b5146add898/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
|
||||
golang.org/x/xerrors v0.0.0-20191204190536-9bdfabe68543/go.mod h1:I/5z698sn9Ka8TeJc9MKroUUfqBBauWjQqLJ2OPfmY0=
|
||||
google.golang.org/appengine v1.1.0/go.mod h1:EbEs0AVv82hx2wNQdGPgUI5lhzA/G0D9YwlJXL52JkM=
|
||||
google.golang.org/appengine v1.6.7 h1:FZR1q0exgwxzPzp/aF+VccGrSfxfPpkBqjIIEq3ru6c=
|
||||
google.golang.org/appengine v1.6.7/go.mod h1:8WjMMxjGQR8xUklV/ARdw2HLXBOI7O7uCIDZVag1xfc=
|
||||
google.golang.org/genproto v0.0.0-20230410155749-daa745c078e1 h1:KpwkzHKEF7B9Zxg18WzOa7djJ+Ha5DzthMyZYQfEn2A=
|
||||
google.golang.org/genproto v0.0.0-20230410155749-daa745c078e1/go.mod h1:nKE/iIaLqn2bQwXBg8f1g2Ylh6r5MN5CmZvuzZCgsCU=
|
||||
google.golang.org/grpc v1.56.0 h1:+y7Bs8rtMd07LeXmL3NxcTLn7mUkbKZqEpPhMNkwJEE=
|
||||
google.golang.org/grpc v1.56.0/go.mod h1:I9bI3vqKfayGqPUAwGdOSu7kt6oIJLixfffKrpXqQ9s=
|
||||
google.golang.org/appengine v1.4.0/go.mod h1:xpcJRLb0r/rnEns0DIKYYv+WjYCduHsrkT7/EB5XEv4=
|
||||
google.golang.org/appengine v1.6.5/go.mod h1:8WjMMxjGQR8xUklV/ARdw2HLXBOI7O7uCIDZVag1xfc=
|
||||
google.golang.org/appengine v1.6.6 h1:lMO5rYAqUxkmaj76jAkRUvt5JZgFymx/+Q5Mzfivuhc=
|
||||
google.golang.org/appengine v1.6.6/go.mod h1:8WjMMxjGQR8xUklV/ARdw2HLXBOI7O7uCIDZVag1xfc=
|
||||
google.golang.org/genproto v0.0.0-20180817151627-c66870c02cf8/go.mod h1:JiN7NxoALGmiZfu7CAH4rXhgtRTLTxftemlI0sWmxmc=
|
||||
google.golang.org/genproto v0.0.0-20190819201941-24fa4b261c55/go.mod h1:DMBHOl98Agz4BDEuKkezgsaosCRResVns1a3J2ZsMNc=
|
||||
google.golang.org/genproto v0.0.0-20200526211855-cb27e3aa2013/go.mod h1:NbSheEEYHJ7i3ixzK3sjbqSGDJWnxyFXZblF3eUsNvo=
|
||||
google.golang.org/genproto v0.0.0-20200711021454-869866162049 h1:YFTFpQhgvrLrmxtiIncJxFXeCyq84ixuKWVCaCAi9Oc=
|
||||
google.golang.org/genproto v0.0.0-20200711021454-869866162049/go.mod h1:FWY/as6DDZQgahTzZj3fqbO1CbirC29ZNUFHwi0/+no=
|
||||
google.golang.org/grpc v1.19.0/go.mod h1:mqu4LbDTu4XGKhr4mRzUsmM4RtVoemTSY81AxZiDr8c=
|
||||
google.golang.org/grpc v1.23.0/go.mod h1:Y5yQAOtifL1yxbo5wqy6BxZv8vAUGQwXBOALyacEbxg=
|
||||
google.golang.org/grpc v1.27.0/go.mod h1:qbnxyOmOxrQa7FizSgH+ReBfzJrCY1pSN7KXBS8abTk=
|
||||
google.golang.org/grpc v1.51.0 h1:E1eGv1FTqoLIdnBCZufiSHgKjlqG6fKFf6pPWtMTh8U=
|
||||
google.golang.org/grpc v1.51.0/go.mod h1:wgNDFcnuBGmxLKI/qn4T+m5BtEBYXJPvibbUPsAIPww=
|
||||
google.golang.org/protobuf v0.0.0-20200109180630-ec00e32a8dfd/go.mod h1:DFci5gLYBciE7Vtevhsrf46CRTquxDuWsQurQQe4oz8=
|
||||
google.golang.org/protobuf v0.0.0-20200221191635-4d8936d0db64/go.mod h1:kwYJMbMJ01Woi6D6+Kah6886xMZcty6N08ah7+eCXa0=
|
||||
google.golang.org/protobuf v0.0.0-20200228230310-ab0ca4ff8a60/go.mod h1:cfTl7dwQJ+fmap5saPgwCLgHXTUD7jkjRqWcaiX5VyM=
|
||||
google.golang.org/protobuf v1.20.1-0.20200309200217-e05f789c0967/go.mod h1:A+miEFZTKqfCUM6K7xSMQL9OKL/b6hQv+e19PK+JZNE=
|
||||
google.golang.org/protobuf v1.21.0/go.mod h1:47Nbq4nVaFHyn7ilMalzfO3qCViNmqZ2kzikPIcrTAo=
|
||||
google.golang.org/protobuf v1.22.0/go.mod h1:EGpADcykh3NcUnDUJcl1+ZksZNG86OlYog2l/sGQquU=
|
||||
google.golang.org/protobuf v1.23.1-0.20200526195155-81db48ad09cc/go.mod h1:EGpADcykh3NcUnDUJcl1+ZksZNG86OlYog2l/sGQquU=
|
||||
google.golang.org/protobuf v1.24.0/go.mod h1:r/3tXBNzIEhYS9I1OUVjXDlt8tc493IdKGjtUeSXeh4=
|
||||
google.golang.org/protobuf v1.26.0-rc.1/go.mod h1:jlhhOSvTdKEhbULTjvd4ARK9grFBp09yW+WbY/TyQbw=
|
||||
google.golang.org/protobuf v1.26.0/go.mod h1:9q0QmTI4eRPtz6boOQmLYwt+qCgq0jsYwAQnmE0givc=
|
||||
google.golang.org/protobuf v1.30.0 h1:kPPoIgf3TsEvrm0PFe15JQ+570QVxYzEvvHqChK+cng=
|
||||
google.golang.org/protobuf v1.30.0/go.mod h1:HV8QOd/L58Z+nl8r43ehVNZIU/HEI6OcFqwMG9pJV4I=
|
||||
google.golang.org/protobuf v1.28.1 h1:d0NfwRgPtno5B1Wa6L2DAG+KivqkdutMf1UhdNx175w=
|
||||
google.golang.org/protobuf v1.28.1/go.mod h1:HV8QOd/L58Z+nl8r43ehVNZIU/HEI6OcFqwMG9pJV4I=
|
||||
gopkg.in/check.v1 v0.0.0-20161208181325-20d25e280405/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0=
|
||||
gopkg.in/check.v1 v1.0.0-20180628173108-788fd7840127 h1:qIbj1fsPNlZgppZ+VLlY7N33q108Sa+fhmuc+sWQYwY=
|
||||
gopkg.in/check.v1 v1.0.0-20180628173108-788fd7840127/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0=
|
||||
gopkg.in/check.v1 v1.0.0-20190902080502-41f04d3bba15/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0=
|
||||
gopkg.in/check.v1 v1.0.0-20200227125254-8fa46927fb4f/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0=
|
||||
gopkg.in/check.v1 v1.0.0-20201130134442-10cb98267c6c h1:Hei/4ADfdWqJk1ZMxUNpqntNwaWcugrBjAiHlqqRiVk=
|
||||
gopkg.in/check.v1 v1.0.0-20201130134442-10cb98267c6c/go.mod h1:JHkPIbrfpd72SG/EVd6muEfDQjcINNoR0C8j2r3qZ4Q=
|
||||
gopkg.in/warnings.v0 v0.1.2 h1:wFXVbFY8DY5/xOe1ECiWdKCzZlxgshcYVNkBHstARME=
|
||||
gopkg.in/warnings.v0 v0.1.2/go.mod h1:jksf8JmL6Qr/oQM2OXTHunEvvTAsrWBLb6OOjuVWRNI=
|
||||
gopkg.in/yaml.v2 v2.2.2/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI=
|
||||
gopkg.in/yaml.v2 v2.2.4/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI=
|
||||
gopkg.in/yaml.v2 v2.3.0/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI=
|
||||
gopkg.in/yaml.v3 v3.0.0-20200313102051-9f266ea9e77c/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
|
||||
gopkg.in/yaml.v3 v3.0.0-20210107192922-496545a6307b/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
|
||||
gopkg.in/yaml.v3 v3.0.0/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
|
||||
gopkg.in/yaml.v3 v3.0.1 h1:fxVm/GzAzEWqLHuvctI91KS9hhNmmWOoWu0XTYJS7CA=
|
||||
gopkg.in/yaml.v3 v3.0.1/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
|
||||
honnef.co/go/tools v0.0.0-20190102054323-c2f93a96b099/go.mod h1:rf3lG4BRIbNafJWhAfAdb/ePZxsR/4RtNHQocxwk9r4=
|
||||
honnef.co/go/tools v0.0.0-20190523083050-ea95bdfd59fc/go.mod h1:rf3lG4BRIbNafJWhAfAdb/ePZxsR/4RtNHQocxwk9r4=
|
||||
|
||||
@ -6,7 +6,7 @@ networks:
|
||||
|
||||
services:
|
||||
server:
|
||||
image: gitea/gitea:1.19.3
|
||||
image: gitea/gitea:1.17.1
|
||||
container_name: gitea
|
||||
environment:
|
||||
- USER_UID=1000
|
||||
|
||||
3
vendor/github.com/ProtonMail/go-crypto/AUTHORS
generated
vendored
3
vendor/github.com/ProtonMail/go-crypto/AUTHORS
generated
vendored
@ -1,3 +0,0 @@
|
||||
# This source code refers to The Go Authors for copyright purposes.
|
||||
# The master list of authors is in the main Go distribution,
|
||||
# visible at https://tip.golang.org/AUTHORS.
|
||||
3
vendor/github.com/ProtonMail/go-crypto/CONTRIBUTORS
generated
vendored
3
vendor/github.com/ProtonMail/go-crypto/CONTRIBUTORS
generated
vendored
@ -1,3 +0,0 @@
|
||||
# This source code was written by the Go contributors.
|
||||
# The master list of contributors is in the main Go distribution,
|
||||
# visible at https://tip.golang.org/CONTRIBUTORS.
|
||||
27
vendor/github.com/ProtonMail/go-crypto/LICENSE
generated
vendored
27
vendor/github.com/ProtonMail/go-crypto/LICENSE
generated
vendored
@ -1,27 +0,0 @@
|
||||
Copyright (c) 2009 The Go Authors. All rights reserved.
|
||||
|
||||
Redistribution and use in source and binary forms, with or without
|
||||
modification, are permitted provided that the following conditions are
|
||||
met:
|
||||
|
||||
* Redistributions of source code must retain the above copyright
|
||||
notice, this list of conditions and the following disclaimer.
|
||||
* Redistributions in binary form must reproduce the above
|
||||
copyright notice, this list of conditions and the following disclaimer
|
||||
in the documentation and/or other materials provided with the
|
||||
distribution.
|
||||
* Neither the name of Google Inc. nor the names of its
|
||||
contributors may be used to endorse or promote products derived from
|
||||
this software without specific prior written permission.
|
||||
|
||||
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
||||
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
||||
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
|
||||
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
|
||||
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
|
||||
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
|
||||
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
|
||||
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
|
||||
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
|
||||
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
|
||||
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
22
vendor/github.com/ProtonMail/go-crypto/PATENTS
generated
vendored
22
vendor/github.com/ProtonMail/go-crypto/PATENTS
generated
vendored
@ -1,22 +0,0 @@
|
||||
Additional IP Rights Grant (Patents)
|
||||
|
||||
"This implementation" means the copyrightable works distributed by
|
||||
Google as part of the Go project.
|
||||
|
||||
Google hereby grants to You a perpetual, worldwide, non-exclusive,
|
||||
no-charge, royalty-free, irrevocable (except as stated in this section)
|
||||
patent license to make, have made, use, offer to sell, sell, import,
|
||||
transfer and otherwise run, modify and propagate the contents of this
|
||||
implementation of Go, where such license applies only to those patent
|
||||
claims, both currently owned or controlled by Google and acquired in
|
||||
the future, licensable by Google that are necessarily infringed by this
|
||||
implementation of Go. This grant does not include claims that would be
|
||||
infringed only as a consequence of further modification of this
|
||||
implementation. If you or your agent or exclusive licensee institute or
|
||||
order or agree to the institution of patent litigation against any
|
||||
entity (including a cross-claim or counterclaim in a lawsuit) alleging
|
||||
that this implementation of Go or any code incorporated within this
|
||||
implementation of Go constitutes direct or contributory patent
|
||||
infringement, or inducement of patent infringement, then any patent
|
||||
rights granted to you under this License for this implementation of Go
|
||||
shall terminate as of the date such litigation is filed.
|
||||
381
vendor/github.com/ProtonMail/go-crypto/bitcurves/bitcurve.go
generated
vendored
381
vendor/github.com/ProtonMail/go-crypto/bitcurves/bitcurve.go
generated
vendored
@ -1,381 +0,0 @@
|
||||
package bitcurves
|
||||
|
||||
// Copyright 2010 The Go Authors. All rights reserved.
|
||||
// Copyright 2011 ThePiachu. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
// Package bitelliptic implements several Koblitz elliptic curves over prime
|
||||
// fields.
|
||||
|
||||
// This package operates, internally, on Jacobian coordinates. For a given
|
||||
// (x, y) position on the curve, the Jacobian coordinates are (x1, y1, z1)
|
||||
// where x = x1/z1² and y = y1/z1³. The greatest speedups come when the whole
|
||||
// calculation can be performed within the transform (as in ScalarMult and
|
||||
// ScalarBaseMult). But even for Add and Double, it's faster to apply and
|
||||
// reverse the transform than to operate in affine coordinates.
|
||||
|
||||
import (
|
||||
"crypto/elliptic"
|
||||
"io"
|
||||
"math/big"
|
||||
"sync"
|
||||
)
|
||||
|
||||
// A BitCurve represents a Koblitz Curve with a=0.
|
||||
// See http://www.hyperelliptic.org/EFD/g1p/auto-shortw.html
|
||||
type BitCurve struct {
|
||||
Name string
|
||||
P *big.Int // the order of the underlying field
|
||||
N *big.Int // the order of the base point
|
||||
B *big.Int // the constant of the BitCurve equation
|
||||
Gx, Gy *big.Int // (x,y) of the base point
|
||||
BitSize int // the size of the underlying field
|
||||
}
|
||||
|
||||
// Params returns the parameters of the given BitCurve (see BitCurve struct)
|
||||
func (bitCurve *BitCurve) Params() (cp *elliptic.CurveParams) {
|
||||
cp = new(elliptic.CurveParams)
|
||||
cp.Name = bitCurve.Name
|
||||
cp.P = bitCurve.P
|
||||
cp.N = bitCurve.N
|
||||
cp.Gx = bitCurve.Gx
|
||||
cp.Gy = bitCurve.Gy
|
||||
cp.BitSize = bitCurve.BitSize
|
||||
return cp
|
||||
}
|
||||
|
||||
// IsOnCurve returns true if the given (x,y) lies on the BitCurve.
|
||||
func (bitCurve *BitCurve) IsOnCurve(x, y *big.Int) bool {
|
||||
// y² = x³ + b
|
||||
y2 := new(big.Int).Mul(y, y) //y²
|
||||
y2.Mod(y2, bitCurve.P) //y²%P
|
||||
|
||||
x3 := new(big.Int).Mul(x, x) //x²
|
||||
x3.Mul(x3, x) //x³
|
||||
|
||||
x3.Add(x3, bitCurve.B) //x³+B
|
||||
x3.Mod(x3, bitCurve.P) //(x³+B)%P
|
||||
|
||||
return x3.Cmp(y2) == 0
|
||||
}
|
||||
|
||||
// affineFromJacobian reverses the Jacobian transform. See the comment at the
|
||||
// top of the file.
|
||||
func (bitCurve *BitCurve) affineFromJacobian(x, y, z *big.Int) (xOut, yOut *big.Int) {
|
||||
if z.Cmp(big.NewInt(0)) == 0 {
|
||||
panic("bitcurve: Can't convert to affine with Jacobian Z = 0")
|
||||
}
|
||||
// x = YZ^2 mod P
|
||||
zinv := new(big.Int).ModInverse(z, bitCurve.P)
|
||||
zinvsq := new(big.Int).Mul(zinv, zinv)
|
||||
|
||||
xOut = new(big.Int).Mul(x, zinvsq)
|
||||
xOut.Mod(xOut, bitCurve.P)
|
||||
// y = YZ^3 mod P
|
||||
zinvsq.Mul(zinvsq, zinv)
|
||||
yOut = new(big.Int).Mul(y, zinvsq)
|
||||
yOut.Mod(yOut, bitCurve.P)
|
||||
return xOut, yOut
|
||||
}
|
||||
|
||||
// Add returns the sum of (x1,y1) and (x2,y2)
|
||||
func (bitCurve *BitCurve) Add(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) {
|
||||
z := new(big.Int).SetInt64(1)
|
||||
x, y, z := bitCurve.addJacobian(x1, y1, z, x2, y2, z)
|
||||
return bitCurve.affineFromJacobian(x, y, z)
|
||||
}
|
||||
|
||||
// addJacobian takes two points in Jacobian coordinates, (x1, y1, z1) and
|
||||
// (x2, y2, z2) and returns their sum, also in Jacobian form.
|
||||
func (bitCurve *BitCurve) addJacobian(x1, y1, z1, x2, y2, z2 *big.Int) (*big.Int, *big.Int, *big.Int) {
|
||||
// See http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-add-2007-bl
|
||||
z1z1 := new(big.Int).Mul(z1, z1)
|
||||
z1z1.Mod(z1z1, bitCurve.P)
|
||||
z2z2 := new(big.Int).Mul(z2, z2)
|
||||
z2z2.Mod(z2z2, bitCurve.P)
|
||||
|
||||
u1 := new(big.Int).Mul(x1, z2z2)
|
||||
u1.Mod(u1, bitCurve.P)
|
||||
u2 := new(big.Int).Mul(x2, z1z1)
|
||||
u2.Mod(u2, bitCurve.P)
|
||||
h := new(big.Int).Sub(u2, u1)
|
||||
if h.Sign() == -1 {
|
||||
h.Add(h, bitCurve.P)
|
||||
}
|
||||
i := new(big.Int).Lsh(h, 1)
|
||||
i.Mul(i, i)
|
||||
j := new(big.Int).Mul(h, i)
|
||||
|
||||
s1 := new(big.Int).Mul(y1, z2)
|
||||
s1.Mul(s1, z2z2)
|
||||
s1.Mod(s1, bitCurve.P)
|
||||
s2 := new(big.Int).Mul(y2, z1)
|
||||
s2.Mul(s2, z1z1)
|
||||
s2.Mod(s2, bitCurve.P)
|
||||
r := new(big.Int).Sub(s2, s1)
|
||||
if r.Sign() == -1 {
|
||||
r.Add(r, bitCurve.P)
|
||||
}
|
||||
r.Lsh(r, 1)
|
||||
v := new(big.Int).Mul(u1, i)
|
||||
|
||||
x3 := new(big.Int).Set(r)
|
||||
x3.Mul(x3, x3)
|
||||
x3.Sub(x3, j)
|
||||
x3.Sub(x3, v)
|
||||
x3.Sub(x3, v)
|
||||
x3.Mod(x3, bitCurve.P)
|
||||
|
||||
y3 := new(big.Int).Set(r)
|
||||
v.Sub(v, x3)
|
||||
y3.Mul(y3, v)
|
||||
s1.Mul(s1, j)
|
||||
s1.Lsh(s1, 1)
|
||||
y3.Sub(y3, s1)
|
||||
y3.Mod(y3, bitCurve.P)
|
||||
|
||||
z3 := new(big.Int).Add(z1, z2)
|
||||
z3.Mul(z3, z3)
|
||||
z3.Sub(z3, z1z1)
|
||||
if z3.Sign() == -1 {
|
||||
z3.Add(z3, bitCurve.P)
|
||||
}
|
||||
z3.Sub(z3, z2z2)
|
||||
if z3.Sign() == -1 {
|
||||
z3.Add(z3, bitCurve.P)
|
||||
}
|
||||
z3.Mul(z3, h)
|
||||
z3.Mod(z3, bitCurve.P)
|
||||
|
||||
return x3, y3, z3
|
||||
}
|
||||
|
||||
// Double returns 2*(x,y)
|
||||
func (bitCurve *BitCurve) Double(x1, y1 *big.Int) (*big.Int, *big.Int) {
|
||||
z1 := new(big.Int).SetInt64(1)
|
||||
return bitCurve.affineFromJacobian(bitCurve.doubleJacobian(x1, y1, z1))
|
||||
}
|
||||
|
||||
// doubleJacobian takes a point in Jacobian coordinates, (x, y, z), and
|
||||
// returns its double, also in Jacobian form.
|
||||
func (bitCurve *BitCurve) doubleJacobian(x, y, z *big.Int) (*big.Int, *big.Int, *big.Int) {
|
||||
// See http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l
|
||||
|
||||
a := new(big.Int).Mul(x, x) //X1²
|
||||
b := new(big.Int).Mul(y, y) //Y1²
|
||||
c := new(big.Int).Mul(b, b) //B²
|
||||
|
||||
d := new(big.Int).Add(x, b) //X1+B
|
||||
d.Mul(d, d) //(X1+B)²
|
||||
d.Sub(d, a) //(X1+B)²-A
|
||||
d.Sub(d, c) //(X1+B)²-A-C
|
||||
d.Mul(d, big.NewInt(2)) //2*((X1+B)²-A-C)
|
||||
|
||||
e := new(big.Int).Mul(big.NewInt(3), a) //3*A
|
||||
f := new(big.Int).Mul(e, e) //E²
|
||||
|
||||
x3 := new(big.Int).Mul(big.NewInt(2), d) //2*D
|
||||
x3.Sub(f, x3) //F-2*D
|
||||
x3.Mod(x3, bitCurve.P)
|
||||
|
||||
y3 := new(big.Int).Sub(d, x3) //D-X3
|
||||
y3.Mul(e, y3) //E*(D-X3)
|
||||
y3.Sub(y3, new(big.Int).Mul(big.NewInt(8), c)) //E*(D-X3)-8*C
|
||||
y3.Mod(y3, bitCurve.P)
|
||||
|
||||
z3 := new(big.Int).Mul(y, z) //Y1*Z1
|
||||
z3.Mul(big.NewInt(2), z3) //3*Y1*Z1
|
||||
z3.Mod(z3, bitCurve.P)
|
||||
|
||||
return x3, y3, z3
|
||||
}
|
||||
|
||||
//TODO: double check if it is okay
|
||||
// ScalarMult returns k*(Bx,By) where k is a number in big-endian form.
|
||||
func (bitCurve *BitCurve) ScalarMult(Bx, By *big.Int, k []byte) (*big.Int, *big.Int) {
|
||||
// We have a slight problem in that the identity of the group (the
|
||||
// point at infinity) cannot be represented in (x, y) form on a finite
|
||||
// machine. Thus the standard add/double algorithm has to be tweaked
|
||||
// slightly: our initial state is not the identity, but x, and we
|
||||
// ignore the first true bit in |k|. If we don't find any true bits in
|
||||
// |k|, then we return nil, nil, because we cannot return the identity
|
||||
// element.
|
||||
|
||||
Bz := new(big.Int).SetInt64(1)
|
||||
x := Bx
|
||||
y := By
|
||||
z := Bz
|
||||
|
||||
seenFirstTrue := false
|
||||
for _, byte := range k {
|
||||
for bitNum := 0; bitNum < 8; bitNum++ {
|
||||
if seenFirstTrue {
|
||||
x, y, z = bitCurve.doubleJacobian(x, y, z)
|
||||
}
|
||||
if byte&0x80 == 0x80 {
|
||||
if !seenFirstTrue {
|
||||
seenFirstTrue = true
|
||||
} else {
|
||||
x, y, z = bitCurve.addJacobian(Bx, By, Bz, x, y, z)
|
||||
}
|
||||
}
|
||||
byte <<= 1
|
||||
}
|
||||
}
|
||||
|
||||
if !seenFirstTrue {
|
||||
return nil, nil
|
||||
}
|
||||
|
||||
return bitCurve.affineFromJacobian(x, y, z)
|
||||
}
|
||||
|
||||
// ScalarBaseMult returns k*G, where G is the base point of the group and k is
|
||||
// an integer in big-endian form.
|
||||
func (bitCurve *BitCurve) ScalarBaseMult(k []byte) (*big.Int, *big.Int) {
|
||||
return bitCurve.ScalarMult(bitCurve.Gx, bitCurve.Gy, k)
|
||||
}
|
||||
|
||||
var mask = []byte{0xff, 0x1, 0x3, 0x7, 0xf, 0x1f, 0x3f, 0x7f}
|
||||
|
||||
//TODO: double check if it is okay
|
||||
// GenerateKey returns a public/private key pair. The private key is generated
|
||||
// using the given reader, which must return random data.
|
||||
func (bitCurve *BitCurve) GenerateKey(rand io.Reader) (priv []byte, x, y *big.Int, err error) {
|
||||
byteLen := (bitCurve.BitSize + 7) >> 3
|
||||
priv = make([]byte, byteLen)
|
||||
|
||||
for x == nil {
|
||||
_, err = io.ReadFull(rand, priv)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
// We have to mask off any excess bits in the case that the size of the
|
||||
// underlying field is not a whole number of bytes.
|
||||
priv[0] &= mask[bitCurve.BitSize%8]
|
||||
// This is because, in tests, rand will return all zeros and we don't
|
||||
// want to get the point at infinity and loop forever.
|
||||
priv[1] ^= 0x42
|
||||
x, y = bitCurve.ScalarBaseMult(priv)
|
||||
}
|
||||
return
|
||||
}
|
||||
|
||||
// Marshal converts a point into the form specified in section 4.3.6 of ANSI
|
||||
// X9.62.
|
||||
func (bitCurve *BitCurve) Marshal(x, y *big.Int) []byte {
|
||||
byteLen := (bitCurve.BitSize + 7) >> 3
|
||||
|
||||
ret := make([]byte, 1+2*byteLen)
|
||||
ret[0] = 4 // uncompressed point
|
||||
|
||||
xBytes := x.Bytes()
|
||||
copy(ret[1+byteLen-len(xBytes):], xBytes)
|
||||
yBytes := y.Bytes()
|
||||
copy(ret[1+2*byteLen-len(yBytes):], yBytes)
|
||||
return ret
|
||||
}
|
||||
|
||||
// Unmarshal converts a point, serialised by Marshal, into an x, y pair. On
|
||||
// error, x = nil.
|
||||
func (bitCurve *BitCurve) Unmarshal(data []byte) (x, y *big.Int) {
|
||||
byteLen := (bitCurve.BitSize + 7) >> 3
|
||||
if len(data) != 1+2*byteLen {
|
||||
return
|
||||
}
|
||||
if data[0] != 4 { // uncompressed form
|
||||
return
|
||||
}
|
||||
x = new(big.Int).SetBytes(data[1 : 1+byteLen])
|
||||
y = new(big.Int).SetBytes(data[1+byteLen:])
|
||||
return
|
||||
}
|
||||
|
||||
//curve parameters taken from:
|
||||
//http://www.secg.org/collateral/sec2_final.pdf
|
||||
|
||||
var initonce sync.Once
|
||||
var secp160k1 *BitCurve
|
||||
var secp192k1 *BitCurve
|
||||
var secp224k1 *BitCurve
|
||||
var secp256k1 *BitCurve
|
||||
|
||||
func initAll() {
|
||||
initS160()
|
||||
initS192()
|
||||
initS224()
|
||||
initS256()
|
||||
}
|
||||
|
||||
func initS160() {
|
||||
// See SEC 2 section 2.4.1
|
||||
secp160k1 = new(BitCurve)
|
||||
secp160k1.Name = "secp160k1"
|
||||
secp160k1.P, _ = new(big.Int).SetString("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", 16)
|
||||
secp160k1.N, _ = new(big.Int).SetString("0100000000000000000001B8FA16DFAB9ACA16B6B3", 16)
|
||||
secp160k1.B, _ = new(big.Int).SetString("0000000000000000000000000000000000000007", 16)
|
||||
secp160k1.Gx, _ = new(big.Int).SetString("3B4C382CE37AA192A4019E763036F4F5DD4D7EBB", 16)
|
||||
secp160k1.Gy, _ = new(big.Int).SetString("938CF935318FDCED6BC28286531733C3F03C4FEE", 16)
|
||||
secp160k1.BitSize = 160
|
||||
}
|
||||
|
||||
func initS192() {
|
||||
// See SEC 2 section 2.5.1
|
||||
secp192k1 = new(BitCurve)
|
||||
secp192k1.Name = "secp192k1"
|
||||
secp192k1.P, _ = new(big.Int).SetString("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37", 16)
|
||||
secp192k1.N, _ = new(big.Int).SetString("FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D", 16)
|
||||
secp192k1.B, _ = new(big.Int).SetString("000000000000000000000000000000000000000000000003", 16)
|
||||
secp192k1.Gx, _ = new(big.Int).SetString("DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D", 16)
|
||||
secp192k1.Gy, _ = new(big.Int).SetString("9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D", 16)
|
||||
secp192k1.BitSize = 192
|
||||
}
|
||||
|
||||
func initS224() {
|
||||
// See SEC 2 section 2.6.1
|
||||
secp224k1 = new(BitCurve)
|
||||
secp224k1.Name = "secp224k1"
|
||||
secp224k1.P, _ = new(big.Int).SetString("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D", 16)
|
||||
secp224k1.N, _ = new(big.Int).SetString("010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7", 16)
|
||||
secp224k1.B, _ = new(big.Int).SetString("00000000000000000000000000000000000000000000000000000005", 16)
|
||||
secp224k1.Gx, _ = new(big.Int).SetString("A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C", 16)
|
||||
secp224k1.Gy, _ = new(big.Int).SetString("7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5", 16)
|
||||
secp224k1.BitSize = 224
|
||||
}
|
||||
|
||||
func initS256() {
|
||||
// See SEC 2 section 2.7.1
|
||||
secp256k1 = new(BitCurve)
|
||||
secp256k1.Name = "secp256k1"
|
||||
secp256k1.P, _ = new(big.Int).SetString("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F", 16)
|
||||
secp256k1.N, _ = new(big.Int).SetString("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141", 16)
|
||||
secp256k1.B, _ = new(big.Int).SetString("0000000000000000000000000000000000000000000000000000000000000007", 16)
|
||||
secp256k1.Gx, _ = new(big.Int).SetString("79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", 16)
|
||||
secp256k1.Gy, _ = new(big.Int).SetString("483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8", 16)
|
||||
secp256k1.BitSize = 256
|
||||
}
|
||||
|
||||
// S160 returns a BitCurve which implements secp160k1 (see SEC 2 section 2.4.1)
|
||||
func S160() *BitCurve {
|
||||
initonce.Do(initAll)
|
||||
return secp160k1
|
||||
}
|
||||
|
||||
// S192 returns a BitCurve which implements secp192k1 (see SEC 2 section 2.5.1)
|
||||
func S192() *BitCurve {
|
||||
initonce.Do(initAll)
|
||||
return secp192k1
|
||||
}
|
||||
|
||||
// S224 returns a BitCurve which implements secp224k1 (see SEC 2 section 2.6.1)
|
||||
func S224() *BitCurve {
|
||||
initonce.Do(initAll)
|
||||
return secp224k1
|
||||
}
|
||||
|
||||
// S256 returns a BitCurve which implements bitcurves (see SEC 2 section 2.7.1)
|
||||
func S256() *BitCurve {
|
||||
initonce.Do(initAll)
|
||||
return secp256k1
|
||||
}
|
||||
134
vendor/github.com/ProtonMail/go-crypto/brainpool/brainpool.go
generated
vendored
134
vendor/github.com/ProtonMail/go-crypto/brainpool/brainpool.go
generated
vendored
@ -1,134 +0,0 @@
|
||||
// Package brainpool implements Brainpool elliptic curves.
|
||||
// Implementation of rcurves is from github.com/ebfe/brainpool
|
||||
// Note that these curves are implemented with naive, non-constant time operations
|
||||
// and are likely not suitable for environments where timing attacks are a concern.
|
||||
package brainpool
|
||||
|
||||
import (
|
||||
"crypto/elliptic"
|
||||
"math/big"
|
||||
"sync"
|
||||
)
|
||||
|
||||
var (
|
||||
once sync.Once
|
||||
p256t1, p384t1, p512t1 *elliptic.CurveParams
|
||||
p256r1, p384r1, p512r1 *rcurve
|
||||
)
|
||||
|
||||
func initAll() {
|
||||
initP256t1()
|
||||
initP384t1()
|
||||
initP512t1()
|
||||
initP256r1()
|
||||
initP384r1()
|
||||
initP512r1()
|
||||
}
|
||||
|
||||
func initP256t1() {
|
||||
p256t1 = &elliptic.CurveParams{Name: "brainpoolP256t1"}
|
||||
p256t1.P, _ = new(big.Int).SetString("A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377", 16)
|
||||
p256t1.N, _ = new(big.Int).SetString("A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7", 16)
|
||||
p256t1.B, _ = new(big.Int).SetString("662C61C430D84EA4FE66A7733D0B76B7BF93EBC4AF2F49256AE58101FEE92B04", 16)
|
||||
p256t1.Gx, _ = new(big.Int).SetString("A3E8EB3CC1CFE7B7732213B23A656149AFA142C47AAFBC2B79A191562E1305F4", 16)
|
||||
p256t1.Gy, _ = new(big.Int).SetString("2D996C823439C56D7F7B22E14644417E69BCB6DE39D027001DABE8F35B25C9BE", 16)
|
||||
p256t1.BitSize = 256
|
||||
}
|
||||
|
||||
func initP256r1() {
|
||||
twisted := p256t1
|
||||
params := &elliptic.CurveParams{
|
||||
Name: "brainpoolP256r1",
|
||||
P: twisted.P,
|
||||
N: twisted.N,
|
||||
BitSize: twisted.BitSize,
|
||||
}
|
||||
params.Gx, _ = new(big.Int).SetString("8BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262", 16)
|
||||
params.Gy, _ = new(big.Int).SetString("547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997", 16)
|
||||
z, _ := new(big.Int).SetString("3E2D4BD9597B58639AE7AA669CAB9837CF5CF20A2C852D10F655668DFC150EF0", 16)
|
||||
p256r1 = newrcurve(twisted, params, z)
|
||||
}
|
||||
|
||||
func initP384t1() {
|
||||
p384t1 = &elliptic.CurveParams{Name: "brainpoolP384t1"}
|
||||
p384t1.P, _ = new(big.Int).SetString("8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A71874700133107EC53", 16)
|
||||
p384t1.N, _ = new(big.Int).SetString("8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7CF3AB6AF6B7FC3103B883202E9046565", 16)
|
||||
p384t1.B, _ = new(big.Int).SetString("7F519EADA7BDA81BD826DBA647910F8C4B9346ED8CCDC64E4B1ABD11756DCE1D2074AA263B88805CED70355A33B471EE", 16)
|
||||
p384t1.Gx, _ = new(big.Int).SetString("18DE98B02DB9A306F2AFCD7235F72A819B80AB12EBD653172476FECD462AABFFC4FF191B946A5F54D8D0AA2F418808CC", 16)
|
||||
p384t1.Gy, _ = new(big.Int).SetString("25AB056962D30651A114AFD2755AD336747F93475B7A1FCA3B88F2B6A208CCFE469408584DC2B2912675BF5B9E582928", 16)
|
||||
p384t1.BitSize = 384
|
||||
}
|
||||
|
||||
func initP384r1() {
|
||||
twisted := p384t1
|
||||
params := &elliptic.CurveParams{
|
||||
Name: "brainpoolP384r1",
|
||||
P: twisted.P,
|
||||
N: twisted.N,
|
||||
BitSize: twisted.BitSize,
|
||||
}
|
||||
params.Gx, _ = new(big.Int).SetString("1D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10E8E826E03436D646AAEF87B2E247D4AF1E", 16)
|
||||
params.Gy, _ = new(big.Int).SetString("8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129280E4646217791811142820341263C5315", 16)
|
||||
z, _ := new(big.Int).SetString("41DFE8DD399331F7166A66076734A89CD0D2BCDB7D068E44E1F378F41ECBAE97D2D63DBC87BCCDDCCC5DA39E8589291C", 16)
|
||||
p384r1 = newrcurve(twisted, params, z)
|
||||
}
|
||||
|
||||
func initP512t1() {
|
||||
p512t1 = &elliptic.CurveParams{Name: "brainpoolP512t1"}
|
||||
p512t1.P, _ = new(big.Int).SetString("AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3", 16)
|
||||
p512t1.N, _ = new(big.Int).SetString("AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069", 16)
|
||||
p512t1.B, _ = new(big.Int).SetString("7CBBBCF9441CFAB76E1890E46884EAE321F70C0BCB4981527897504BEC3E36A62BCDFA2304976540F6450085F2DAE145C22553B465763689180EA2571867423E", 16)
|
||||
p512t1.Gx, _ = new(big.Int).SetString("640ECE5C12788717B9C1BA06CBC2A6FEBA85842458C56DDE9DB1758D39C0313D82BA51735CDB3EA499AA77A7D6943A64F7A3F25FE26F06B51BAA2696FA9035DA", 16)
|
||||
p512t1.Gy, _ = new(big.Int).SetString("5B534BD595F5AF0FA2C892376C84ACE1BB4E3019B71634C01131159CAE03CEE9D9932184BEEF216BD71DF2DADF86A627306ECFF96DBB8BACE198B61E00F8B332", 16)
|
||||
p512t1.BitSize = 512
|
||||
}
|
||||
|
||||
func initP512r1() {
|
||||
twisted := p512t1
|
||||
params := &elliptic.CurveParams{
|
||||
Name: "brainpoolP512r1",
|
||||
P: twisted.P,
|
||||
N: twisted.N,
|
||||
BitSize: twisted.BitSize,
|
||||
}
|
||||
params.Gx, _ = new(big.Int).SetString("81AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F822", 16)
|
||||
params.Gy, _ = new(big.Int).SetString("7DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892", 16)
|
||||
z, _ := new(big.Int).SetString("12EE58E6764838B69782136F0F2D3BA06E27695716054092E60A80BEDB212B64E585D90BCE13761F85C3F1D2A64E3BE8FEA2220F01EBA5EEB0F35DBD29D922AB", 16)
|
||||
p512r1 = newrcurve(twisted, params, z)
|
||||
}
|
||||
|
||||
// P256t1 returns a Curve which implements Brainpool P256t1 (see RFC 5639, section 3.4)
|
||||
func P256t1() elliptic.Curve {
|
||||
once.Do(initAll)
|
||||
return p256t1
|
||||
}
|
||||
|
||||
// P256r1 returns a Curve which implements Brainpool P256r1 (see RFC 5639, section 3.4)
|
||||
func P256r1() elliptic.Curve {
|
||||
once.Do(initAll)
|
||||
return p256r1
|
||||
}
|
||||
|
||||
// P384t1 returns a Curve which implements Brainpool P384t1 (see RFC 5639, section 3.6)
|
||||
func P384t1() elliptic.Curve {
|
||||
once.Do(initAll)
|
||||
return p384t1
|
||||
}
|
||||
|
||||
// P384r1 returns a Curve which implements Brainpool P384r1 (see RFC 5639, section 3.6)
|
||||
func P384r1() elliptic.Curve {
|
||||
once.Do(initAll)
|
||||
return p384r1
|
||||
}
|
||||
|
||||
// P512t1 returns a Curve which implements Brainpool P512t1 (see RFC 5639, section 3.7)
|
||||
func P512t1() elliptic.Curve {
|
||||
once.Do(initAll)
|
||||
return p512t1
|
||||
}
|
||||
|
||||
// P512r1 returns a Curve which implements Brainpool P512r1 (see RFC 5639, section 3.7)
|
||||
func P512r1() elliptic.Curve {
|
||||
once.Do(initAll)
|
||||
return p512r1
|
||||
}
|
||||
83
vendor/github.com/ProtonMail/go-crypto/brainpool/rcurve.go
generated
vendored
83
vendor/github.com/ProtonMail/go-crypto/brainpool/rcurve.go
generated
vendored
@ -1,83 +0,0 @@
|
||||
package brainpool
|
||||
|
||||
import (
|
||||
"crypto/elliptic"
|
||||
"math/big"
|
||||
)
|
||||
|
||||
var _ elliptic.Curve = (*rcurve)(nil)
|
||||
|
||||
type rcurve struct {
|
||||
twisted elliptic.Curve
|
||||
params *elliptic.CurveParams
|
||||
z *big.Int
|
||||
zinv *big.Int
|
||||
z2 *big.Int
|
||||
z3 *big.Int
|
||||
zinv2 *big.Int
|
||||
zinv3 *big.Int
|
||||
}
|
||||
|
||||
var (
|
||||
two = big.NewInt(2)
|
||||
three = big.NewInt(3)
|
||||
)
|
||||
|
||||
func newrcurve(twisted elliptic.Curve, params *elliptic.CurveParams, z *big.Int) *rcurve {
|
||||
zinv := new(big.Int).ModInverse(z, params.P)
|
||||
return &rcurve{
|
||||
twisted: twisted,
|
||||
params: params,
|
||||
z: z,
|
||||
zinv: zinv,
|
||||
z2: new(big.Int).Exp(z, two, params.P),
|
||||
z3: new(big.Int).Exp(z, three, params.P),
|
||||
zinv2: new(big.Int).Exp(zinv, two, params.P),
|
||||
zinv3: new(big.Int).Exp(zinv, three, params.P),
|
||||
}
|
||||
}
|
||||
|
||||
func (curve *rcurve) toTwisted(x, y *big.Int) (*big.Int, *big.Int) {
|
||||
var tx, ty big.Int
|
||||
tx.Mul(x, curve.z2)
|
||||
tx.Mod(&tx, curve.params.P)
|
||||
ty.Mul(y, curve.z3)
|
||||
ty.Mod(&ty, curve.params.P)
|
||||
return &tx, &ty
|
||||
}
|
||||
|
||||
func (curve *rcurve) fromTwisted(tx, ty *big.Int) (*big.Int, *big.Int) {
|
||||
var x, y big.Int
|
||||
x.Mul(tx, curve.zinv2)
|
||||
x.Mod(&x, curve.params.P)
|
||||
y.Mul(ty, curve.zinv3)
|
||||
y.Mod(&y, curve.params.P)
|
||||
return &x, &y
|
||||
}
|
||||
|
||||
func (curve *rcurve) Params() *elliptic.CurveParams {
|
||||
return curve.params
|
||||
}
|
||||
|
||||
func (curve *rcurve) IsOnCurve(x, y *big.Int) bool {
|
||||
return curve.twisted.IsOnCurve(curve.toTwisted(x, y))
|
||||
}
|
||||
|
||||
func (curve *rcurve) Add(x1, y1, x2, y2 *big.Int) (x, y *big.Int) {
|
||||
tx1, ty1 := curve.toTwisted(x1, y1)
|
||||
tx2, ty2 := curve.toTwisted(x2, y2)
|
||||
return curve.fromTwisted(curve.twisted.Add(tx1, ty1, tx2, ty2))
|
||||
}
|
||||
|
||||
func (curve *rcurve) Double(x1, y1 *big.Int) (x, y *big.Int) {
|
||||
return curve.fromTwisted(curve.twisted.Double(curve.toTwisted(x1, y1)))
|
||||
}
|
||||
|
||||
func (curve *rcurve) ScalarMult(x1, y1 *big.Int, scalar []byte) (x, y *big.Int) {
|
||||
tx1, ty1 := curve.toTwisted(x1, y1)
|
||||
return curve.fromTwisted(curve.twisted.ScalarMult(tx1, ty1, scalar))
|
||||
}
|
||||
|
||||
func (curve *rcurve) ScalarBaseMult(scalar []byte) (x, y *big.Int) {
|
||||
return curve.fromTwisted(curve.twisted.ScalarBaseMult(scalar))
|
||||
}
|
||||
162
vendor/github.com/ProtonMail/go-crypto/eax/eax.go
generated
vendored
162
vendor/github.com/ProtonMail/go-crypto/eax/eax.go
generated
vendored
@ -1,162 +0,0 @@
|
||||
// Copyright (C) 2019 ProtonTech AG
|
||||
|
||||
// Package eax provides an implementation of the EAX
|
||||
// (encrypt-authenticate-translate) mode of operation, as described in
|
||||
// Bellare, Rogaway, and Wagner "THE EAX MODE OF OPERATION: A TWO-PASS
|
||||
// AUTHENTICATED-ENCRYPTION SCHEME OPTIMIZED FOR SIMPLICITY AND EFFICIENCY."
|
||||
// In FSE'04, volume 3017 of LNCS, 2004
|
||||
package eax
|
||||
|
||||
import (
|
||||
"crypto/cipher"
|
||||
"crypto/subtle"
|
||||
"errors"
|
||||
"github.com/ProtonMail/go-crypto/internal/byteutil"
|
||||
)
|
||||
|
||||
const (
|
||||
defaultTagSize = 16
|
||||
defaultNonceSize = 16
|
||||
)
|
||||
|
||||
type eax struct {
|
||||
block cipher.Block // Only AES-{128, 192, 256} supported
|
||||
tagSize int // At least 12 bytes recommended
|
||||
nonceSize int
|
||||
}
|
||||
|
||||
func (e *eax) NonceSize() int {
|
||||
return e.nonceSize
|
||||
}
|
||||
|
||||
func (e *eax) Overhead() int {
|
||||
return e.tagSize
|
||||
}
|
||||
|
||||
// NewEAX returns an EAX instance with AES-{KEYLENGTH} and default nonce and
|
||||
// tag lengths. Supports {128, 192, 256}- bit key length.
|
||||
func NewEAX(block cipher.Block) (cipher.AEAD, error) {
|
||||
return NewEAXWithNonceAndTagSize(block, defaultNonceSize, defaultTagSize)
|
||||
}
|
||||
|
||||
// NewEAXWithNonceAndTagSize returns an EAX instance with AES-{keyLength} and
|
||||
// given nonce and tag lengths in bytes. Panics on zero nonceSize and
|
||||
// exceedingly long tags.
|
||||
//
|
||||
// It is recommended to use at least 12 bytes as tag length (see, for instance,
|
||||
// NIST SP 800-38D).
|
||||
//
|
||||
// Only to be used for compatibility with existing cryptosystems with
|
||||
// non-standard parameters. For all other cases, prefer NewEAX.
|
||||
func NewEAXWithNonceAndTagSize(
|
||||
block cipher.Block, nonceSize, tagSize int) (cipher.AEAD, error) {
|
||||
if nonceSize < 1 {
|
||||
return nil, eaxError("Cannot initialize EAX with nonceSize = 0")
|
||||
}
|
||||
if tagSize > block.BlockSize() {
|
||||
return nil, eaxError("Custom tag length exceeds blocksize")
|
||||
}
|
||||
return &eax{
|
||||
block: block,
|
||||
tagSize: tagSize,
|
||||
nonceSize: nonceSize,
|
||||
}, nil
|
||||
}
|
||||
|
||||
func (e *eax) Seal(dst, nonce, plaintext, adata []byte) []byte {
|
||||
if len(nonce) > e.nonceSize {
|
||||
panic("crypto/eax: Nonce too long for this instance")
|
||||
}
|
||||
ret, out := byteutil.SliceForAppend(dst, len(plaintext) + e.tagSize)
|
||||
omacNonce := e.omacT(0, nonce)
|
||||
omacAdata := e.omacT(1, adata)
|
||||
|
||||
// Encrypt message using CTR mode and omacNonce as IV
|
||||
ctr := cipher.NewCTR(e.block, omacNonce)
|
||||
ciphertextData := out[:len(plaintext)]
|
||||
ctr.XORKeyStream(ciphertextData, plaintext)
|
||||
|
||||
omacCiphertext := e.omacT(2, ciphertextData)
|
||||
|
||||
tag := out[len(plaintext):]
|
||||
for i := 0; i < e.tagSize; i++ {
|
||||
tag[i] = omacCiphertext[i] ^ omacNonce[i] ^ omacAdata[i]
|
||||
}
|
||||
return ret
|
||||
}
|
||||
|
||||
func (e* eax) Open(dst, nonce, ciphertext, adata []byte) ([]byte, error) {
|
||||
if len(nonce) > e.nonceSize {
|
||||
panic("crypto/eax: Nonce too long for this instance")
|
||||
}
|
||||
if len(ciphertext) < e.tagSize {
|
||||
return nil, eaxError("Ciphertext shorter than tag length")
|
||||
}
|
||||
sep := len(ciphertext) - e.tagSize
|
||||
|
||||
// Compute tag
|
||||
omacNonce := e.omacT(0, nonce)
|
||||
omacAdata := e.omacT(1, adata)
|
||||
omacCiphertext := e.omacT(2, ciphertext[:sep])
|
||||
|
||||
tag := make([]byte, e.tagSize)
|
||||
for i := 0; i < e.tagSize; i++ {
|
||||
tag[i] = omacCiphertext[i] ^ omacNonce[i] ^ omacAdata[i]
|
||||
}
|
||||
|
||||
// Compare tags
|
||||
if subtle.ConstantTimeCompare(ciphertext[sep:], tag) != 1 {
|
||||
return nil, eaxError("Tag authentication failed")
|
||||
}
|
||||
|
||||
// Decrypt ciphertext
|
||||
ret, out := byteutil.SliceForAppend(dst, len(ciphertext))
|
||||
ctr := cipher.NewCTR(e.block, omacNonce)
|
||||
ctr.XORKeyStream(out, ciphertext[:sep])
|
||||
|
||||
return ret[:sep], nil
|
||||
}
|
||||
|
||||
// Tweakable OMAC - Calls OMAC_K([t]_n || plaintext)
|
||||
func (e *eax) omacT(t byte, plaintext []byte) []byte {
|
||||
blockSize := e.block.BlockSize()
|
||||
byteT := make([]byte, blockSize)
|
||||
byteT[blockSize-1] = t
|
||||
concat := append(byteT, plaintext...)
|
||||
return e.omac(concat)
|
||||
}
|
||||
|
||||
func (e *eax) omac(plaintext []byte) []byte {
|
||||
blockSize := e.block.BlockSize()
|
||||
// L ← E_K(0^n); B ← 2L; P ← 4L
|
||||
L := make([]byte, blockSize)
|
||||
e.block.Encrypt(L, L)
|
||||
B := byteutil.GfnDouble(L)
|
||||
P := byteutil.GfnDouble(B)
|
||||
|
||||
// CBC with IV = 0
|
||||
cbc := cipher.NewCBCEncrypter(e.block, make([]byte, blockSize))
|
||||
padded := e.pad(plaintext, B, P)
|
||||
cbcCiphertext := make([]byte, len(padded))
|
||||
cbc.CryptBlocks(cbcCiphertext, padded)
|
||||
|
||||
return cbcCiphertext[len(cbcCiphertext)-blockSize:]
|
||||
}
|
||||
|
||||
func (e *eax) pad(plaintext, B, P []byte) []byte {
|
||||
// if |M| in {n, 2n, 3n, ...}
|
||||
blockSize := e.block.BlockSize()
|
||||
if len(plaintext) != 0 && len(plaintext)%blockSize == 0 {
|
||||
return byteutil.RightXor(plaintext, B)
|
||||
}
|
||||
|
||||
// else return (M || 1 || 0^(n−1−(|M| % n))) xor→ P
|
||||
ending := make([]byte, blockSize-len(plaintext)%blockSize)
|
||||
ending[0] = 0x80
|
||||
padded := append(plaintext, ending...)
|
||||
return byteutil.RightXor(padded, P)
|
||||
}
|
||||
|
||||
func eaxError(err string) error {
|
||||
return errors.New("crypto/eax: " + err)
|
||||
}
|
||||
58
vendor/github.com/ProtonMail/go-crypto/eax/eax_test_vectors.go
generated
vendored
58
vendor/github.com/ProtonMail/go-crypto/eax/eax_test_vectors.go
generated
vendored
@ -1,58 +0,0 @@
|
||||
package eax
|
||||
|
||||
// Test vectors from
|
||||
// https://web.cs.ucdavis.edu/~rogaway/papers/eax.pdf
|
||||
var testVectors = []struct {
|
||||
msg, key, nonce, header, ciphertext string
|
||||
}{
|
||||
{"",
|
||||
"233952DEE4D5ED5F9B9C6D6FF80FF478",
|
||||
"62EC67F9C3A4A407FCB2A8C49031A8B3",
|
||||
"6BFB914FD07EAE6B",
|
||||
"E037830E8389F27B025A2D6527E79D01"},
|
||||
{"F7FB",
|
||||
"91945D3F4DCBEE0BF45EF52255F095A4",
|
||||
"BECAF043B0A23D843194BA972C66DEBD",
|
||||
"FA3BFD4806EB53FA",
|
||||
"19DD5C4C9331049D0BDAB0277408F67967E5"},
|
||||
{"1A47CB4933",
|
||||
"01F74AD64077F2E704C0F60ADA3DD523",
|
||||
"70C3DB4F0D26368400A10ED05D2BFF5E",
|
||||
"234A3463C1264AC6",
|
||||
"D851D5BAE03A59F238A23E39199DC9266626C40F80"},
|
||||
{"481C9E39B1",
|
||||
"D07CF6CBB7F313BDDE66B727AFD3C5E8",
|
||||
"8408DFFF3C1A2B1292DC199E46B7D617",
|
||||
"33CCE2EABFF5A79D",
|
||||
"632A9D131AD4C168A4225D8E1FF755939974A7BEDE"},
|
||||
{"40D0C07DA5E4",
|
||||
"35B6D0580005BBC12B0587124557D2C2",
|
||||
"FDB6B06676EEDC5C61D74276E1F8E816",
|
||||
"AEB96EAEBE2970E9",
|
||||
"071DFE16C675CB0677E536F73AFE6A14B74EE49844DD"},
|
||||
{"4DE3B35C3FC039245BD1FB7D",
|
||||
"BD8E6E11475E60B268784C38C62FEB22",
|
||||
"6EAC5C93072D8E8513F750935E46DA1B",
|
||||
"D4482D1CA78DCE0F",
|
||||
"835BB4F15D743E350E728414ABB8644FD6CCB86947C5E10590210A4F"},
|
||||
{"8B0A79306C9CE7ED99DAE4F87F8DD61636",
|
||||
"7C77D6E813BED5AC98BAA417477A2E7D",
|
||||
"1A8C98DCD73D38393B2BF1569DEEFC19",
|
||||
"65D2017990D62528",
|
||||
"02083E3979DA014812F59F11D52630DA30137327D10649B0AA6E1C181DB617D7F2"},
|
||||
{"1BDA122BCE8A8DBAF1877D962B8592DD2D56",
|
||||
"5FFF20CAFAB119CA2FC73549E20F5B0D",
|
||||
"DDE59B97D722156D4D9AFF2BC7559826",
|
||||
"54B9F04E6A09189A",
|
||||
"2EC47B2C4954A489AFC7BA4897EDCDAE8CC33B60450599BD02C96382902AEF7F832A"},
|
||||
{"6CF36720872B8513F6EAB1A8A44438D5EF11",
|
||||
"A4A4782BCFFD3EC5E7EF6D8C34A56123",
|
||||
"B781FCF2F75FA5A8DE97A9CA48E522EC",
|
||||
"899A175897561D7E",
|
||||
"0DE18FD0FDD91E7AF19F1D8EE8733938B1E8E7F6D2231618102FDB7FE55FF1991700"},
|
||||
{"CA40D7446E545FFAED3BD12A740A659FFBBB3CEAB7",
|
||||
"8395FCF1E95BEBD697BD010BC766AAC3",
|
||||
"22E7ADD93CFC6393C57EC0B3C17D6B44",
|
||||
"126735FCC320D25A",
|
||||
"CB8920F87A6C75CFF39627B56E3ED197C552D295A7CFC46AFC253B4652B1AF3795B124AB6E"},
|
||||
}
|
||||
131
vendor/github.com/ProtonMail/go-crypto/eax/random_vectors.go
generated
vendored
131
vendor/github.com/ProtonMail/go-crypto/eax/random_vectors.go
generated
vendored
@ -1,131 +0,0 @@
|
||||
// These vectors include key length in {128, 192, 256}, tag size 128, and
|
||||
// random nonce, header, and plaintext lengths.
|
||||
|
||||
// This file was automatically generated.
|
||||
|
||||
package eax
|
||||
|
||||
var randomVectors = []struct {
|
||||
key, nonce, header, plaintext, ciphertext string
|
||||
}{
|
||||
{"DFDE093F36B0356E5A81F609786982E3",
|
||||
"1D8AC604419001816905BA72B14CED7E",
|
||||
"152A1517A998D7A24163FCDD146DE81AC347C8B97088F502093C1ABB8F6E33D9A219C34D7603A18B1F5ABE02E56661B7D7F67E81EC08C1302EF38D80A859486D450E94A4F26AD9E68EEBBC0C857A0FC5CF9E641D63D565A7E361BC8908F5A8DC8FD6",
|
||||
"1C8EAAB71077FE18B39730A3156ADE29C5EE824C7EE86ED2A253B775603FB237116E654F6FEC588DD27F523A0E01246FE73FE348491F2A8E9ABC6CA58D663F71CDBCF4AD798BE46C42AE6EE8B599DB44A1A48D7BBBBA0F7D2750181E1C5E66967F7D57CBD30AFBDA5727",
|
||||
"79E7E150934BBEBF7013F61C60462A14D8B15AF7A248AFB8A344EF021C1500E16666891D6E973D8BB56B71A371F12CA34660C4410C016982B20F547E3762A58B7BF4F20236CADCF559E2BE7D783B13723B2741FC7CDC8997D839E39A3DDD2BADB96743DD7049F1BDB0516A262869915B3F70498AFB7B191BF960"},
|
||||
{"F10619EF02E5D94D7550EB84ED364A21",
|
||||
"8DC0D4F2F745BBAE835CC5574B942D20",
|
||||
"FE561358F2E8DF7E1024FF1AE9A8D36EBD01352214505CB99D644777A8A1F6027FA2BDBFC529A9B91136D5F2416CFC5F0F4EC3A1AFD32BDDA23CA504C5A5CB451785FABF4DFE4CD50D817491991A60615B30286361C100A95D1712F2A45F8E374461F4CA2B",
|
||||
"D7B5A971FC219631D30EFC3664AE3127D9CF3097DAD9C24AC7905D15E8D9B25B026B31D68CAE00975CDB81EB1FD96FD5E1A12E2BB83FA25F1B1D91363457657FC03875C27F2946C5",
|
||||
"2F336ED42D3CC38FC61660C4CD60BA4BD438B05F5965D8B7B399D2E7167F5D34F792D318F94DB15D67463AC449E13D568CC09BFCE32A35EE3EE96A041927680AE329811811E27F2D1E8E657707AF99BA96D13A478D695D59"},
|
||||
{"429F514EFC64D98A698A9247274CFF45",
|
||||
"976AA5EB072F912D126ACEBC954FEC38",
|
||||
"A71D89DC5B6CEDBB7451A27C3C2CAE09126DB4C421",
|
||||
"5632FE62AB1DC549D54D3BC3FC868ACCEDEFD9ECF5E9F8",
|
||||
"848AE4306CA8C7F416F8707625B7F55881C0AB430353A5C967CDA2DA787F581A70E34DBEBB2385"},
|
||||
{"398138F309085F47F8457CDF53895A63",
|
||||
"F8A8A7F2D28E5FFF7BBC2F24353F7A36",
|
||||
"5D633C21BA7764B8855CAB586F3746E236AD486039C83C6B56EFA9C651D38A41D6B20DAEE3418BFEA44B8BD6",
|
||||
"A3BBAA91920AF5E10659818B1B3B300AC79BFC129C8329E75251F73A66D3AE0128EB91D5031E0A65C329DB7D1E9C0493E268",
|
||||
"D078097267606E5FB07CFB7E2B4B718172A82C6A4CEE65D549A4DFB9838003BD2FBF64A7A66988AC1A632FD88F9E9FBB57C5A78AD2E086EACBA3DB68511D81C2970A"},
|
||||
{"7A4151EBD3901B42CBA45DAFB2E931BA",
|
||||
"0FC88ACEE74DD538040321C330974EB8",
|
||||
"250464FB04733BAB934C59E6AD2D6AE8D662CBCFEFBE61E5A308D4211E58C4C25935B72C69107722E946BFCBF416796600542D76AEB73F2B25BF53BAF97BDEB36ED3A7A51C31E7F170EB897457E7C17571D1BA0A908954E9",
|
||||
"88C41F3EBEC23FAB8A362D969CAC810FAD4F7CA6A7F7D0D44F060F92E37E1183768DD4A8C733F71C96058D362A39876D183B86C103DE",
|
||||
"74A25B2182C51096D48A870D80F18E1CE15867778E34FCBA6BD7BFB3739FDCD42AD0F2D9F4EBA29085285C6048C15BCE5E5166F1F962D3337AA88E6062F05523029D0A7F0BF9"},
|
||||
{"BFB147E1CD5459424F8C0271FC0E0DC5",
|
||||
"EABCC126442BF373969EA3015988CC45",
|
||||
"4C0880E1D71AA2C7",
|
||||
"BE1B5EC78FBF73E7A6682B21BA7E0E5D2D1C7ABE",
|
||||
"5660D7C1380E2F306895B1402CB2D6C37876504276B414D120F4CF92FDDDBB293A238EA0"},
|
||||
{"595DD6F52D18BC2CA8EB4EDAA18D9FA3",
|
||||
"0F84B5D36CF4BC3B863313AF3B4D2E97",
|
||||
"30AE6CC5F99580F12A779D98BD379A60948020C0B6FBD5746B30BA3A15C6CD33DAF376C70A9F15B6C0EB410A93161F7958AE23",
|
||||
"8EF3687A1642B070970B0B91462229D1D76ABC154D18211F7152AA9FF368",
|
||||
"317C1DDB11417E5A9CC4DDE7FDFF6659A5AC4B31DE025212580A05CDAC6024D3E4AE7C2966E52B9129E9ECDBED86"},
|
||||
{"44E6F2DC8FDC778AD007137D11410F50",
|
||||
"270A237AD977F7187AA6C158A0BAB24F",
|
||||
"509B0F0EB12E2AA5C5BA2DE553C07FAF4CE0C9E926531AA709A3D6224FCB783ACCF1559E10B1123EBB7D52E8AB54E6B5352A9ED0D04124BF0E9D9BACFD7E32B817B2E625F5EE94A64EDE9E470DE7FE6886C19B294F9F828209FE257A78",
|
||||
"8B3D7815DF25618A5D0C55A601711881483878F113A12EC36CF64900549A3199555528559DC118F789788A55FAFD944E6E99A9CA3F72F238CD3F4D88223F7A745992B3FAED1848",
|
||||
"1CC00D79F7AD82FDA71B58D286E5F34D0CC4CEF30704E771CC1E50746BDF83E182B078DB27149A42BAE619DF0F85B0B1090AD55D3B4471B0D6F6ECCD09C8F876B30081F0E7537A9624F8AAF29DA85E324122EFB4D68A56"},
|
||||
{"BB7BC352A03044B4428D8DBB4B0701FDEC4649FD17B81452",
|
||||
"8B4BBE26CCD9859DCD84884159D6B0A4",
|
||||
"2212BEB0E78E0F044A86944CF33C8D5C80D9DBE1034BF3BCF73611835C7D3A52F5BD2D81B68FD681B68540A496EE5DA16FD8AC8824E60E1EC2042BE28FB0BFAD4E4B03596446BDD8C37D936D9B3D5295BE19F19CF5ACE1D33A46C952CE4DE5C12F92C1DD051E04AEED",
|
||||
"9037234CC44FFF828FABED3A7084AF40FA7ABFF8E0C0EFB57A1CC361E18FC4FAC1AB54F3ABFE9FF77263ACE16C3A",
|
||||
"A9391B805CCD956081E0B63D282BEA46E7025126F1C1631239C33E92AA6F92CD56E5A4C56F00FF9658E93D48AF4EF0EF81628E34AD4DB0CDAEDCD2A17EE7"},
|
||||
{"99C0AD703196D2F60A74E6B378B838B31F82EA861F06FC4E",
|
||||
"92745C018AA708ECFEB1667E9F3F1B01",
|
||||
"828C69F376C0C0EC651C67749C69577D589EE39E51404D80EBF70C8660A8F5FD375473F4A7C611D59CB546A605D67446CE2AA844135FCD78BB5FBC90222A00D42920BB1D7EEDFB0C4672554F583EF23184F89063CDECBE482367B5F9AF3ACBC3AF61392BD94CBCD9B64677",
|
||||
"A879214658FD0A5B0E09836639BF82E05EC7A5EF71D4701934BDA228435C68AC3D5CEB54997878B06A655EEACEFB1345C15867E7FE6C6423660C8B88DF128EBD6BCD85118DBAE16E9252FFB204324E5C8F38CA97759BDBF3CB0083",
|
||||
"51FE87996F194A2585E438B023B345439EA60D1AEBED4650CDAF48A4D4EEC4FC77DC71CC4B09D3BEEF8B7B7AF716CE2B4EFFB3AC9E6323C18AC35E0AA6E2BBBC8889490EB6226C896B0D105EAB42BFE7053CCF00ED66BA94C1BA09A792AA873F0C3B26C5C5F9A936E57B25"},
|
||||
{"7086816D00D648FB8304AA8C9E552E1B69A9955FB59B25D1",
|
||||
"0F45CF7F0BF31CCEB85D9DA10F4D749F",
|
||||
"93F27C60A417D9F0669E86ACC784FC8917B502DAF30A6338F11B30B94D74FEFE2F8BE1BBE2EAD10FAB7EED3C6F72B7C3ECEE1937C32ED4970A6404E139209C05",
|
||||
"877F046601F3CBE4FB1491943FA29487E738F94B99AF206262A1D6FF856C9AA0B8D4D08A54370C98F8E88FA3DCC2B14C1F76D71B2A4C7963AEE8AF960464C5BEC8357AD00DC8",
|
||||
"FE96906B895CE6A8E72BC72344E2C8BB3C63113D70EAFA26C299BAFE77A8A6568172EB447FB3E86648A0AF3512DEB1AAC0819F3EC553903BF28A9FB0F43411237A774BF9EE03E445D280FBB9CD12B9BAAB6EF5E52691"},
|
||||
{"062F65A896D5BF1401BADFF70E91B458E1F9BD4888CB2E4D",
|
||||
"5B11EA1D6008EBB41CF892FCA5B943D1",
|
||||
"BAF4FF5C8242",
|
||||
"A8870E091238355984EB2F7D61A865B9170F440BFF999A5993DD41A10F4440D21FF948DDA2BF663B2E03AC3324492DC5E40262ECC6A65C07672353BE23E7FB3A9D79FF6AA38D97960905A38DECC312CB6A59E5467ECF06C311CD43ADC0B543EDF34FE8BE611F176460D5627CA51F8F8D9FED71F55C",
|
||||
"B10E127A632172CF8AA7539B140D2C9C2590E6F28C3CB892FC498FCE56A34F732FBFF32E79C7B9747D9094E8635A0C084D6F0247F9768FB5FF83493799A9BEC6C39572120C40E9292C8C947AE8573462A9108C36D9D7112E6995AE5867E6C8BB387D1C5D4BEF524F391B9FD9F0A3B4BFA079E915BCD920185CFD38D114C558928BD7D47877"},
|
||||
{"38A8E45D6D705A11AF58AED5A1344896998EACF359F2E26A",
|
||||
"FD82B5B31804FF47D44199B533D0CF84",
|
||||
"DE454D4E62FE879F2050EE3E25853623D3E9AC52EEC1A1779A48CFAF5ECA0BFDE44749391866D1",
|
||||
"B804",
|
||||
"164BB965C05EBE0931A1A63293EDF9C38C27"},
|
||||
{"34C33C97C6D7A0850DA94D78A58DC61EC717CD7574833068",
|
||||
"343BE00DA9483F05C14F2E9EB8EA6AE8",
|
||||
"78312A43EFDE3CAE34A65796FF059A3FE15304EEA5CF1D9306949FE5BF3349D4977D4EBE76C040FE894C5949E4E4D6681153DA87FB9AC5062063CA2EA183566343362370944CE0362D25FC195E124FD60E8682E665D13F2229DDA3E4B2CB1DCA",
|
||||
"CC11BB284B1153578E4A5ED9D937B869DAF00F5B1960C23455CA9CC43F486A3BE0B66254F1041F04FDF459C8640465B6E1D2CF899A381451E8E7FCB50CF87823BE77E24B132BBEEDC72E53369B275E1D8F49ECE59F4F215230AC4FE133FC80E4F634EE80BA4682B62C86",
|
||||
"E7F703DC31A95E3A4919FF957836CB76C063D81702AEA4703E1C2BF30831E58C4609D626EC6810E12EAA5B930F049FF9EFC22C3E3F1EBD4A1FB285CB02A1AC5AD46B425199FC0A85670A5C4E3DAA9636C8F64C199F42F18AAC8EA7457FD377F322DD7752D7D01B946C8F0A97E6113F0D50106F319AFD291AAACE"},
|
||||
{"C6ECF7F053573E403E61B83052A343D93CBCC179D1E835BE",
|
||||
"E280E13D7367042E3AA09A80111B6184",
|
||||
"21486C9D7A9647",
|
||||
"5F2639AFA6F17931853791CD8C92382BBB677FD72D0AB1A080D0E49BFAA21810E963E4FACD422E92F65CBFAD5884A60CD94740DF31AF02F95AA57DA0C4401B0ED906",
|
||||
"5C51DB20755302070C45F52E50128A67C8B2E4ED0EACB7E29998CCE2E8C289DD5655913EC1A51CC3AABE5CDC2402B2BE7D6D4BF6945F266FBD70BA9F37109067157AE7530678B45F64475D4EBFCB5FFF46A5"},
|
||||
{"5EC6CF7401BC57B18EF154E8C38ACCA8959E57D2F3975FF5",
|
||||
"656B41CB3F9CF8C08BAD7EBFC80BD225",
|
||||
"6B817C2906E2AF425861A7EF59BA5801F143EE2A139EE72697CDE168B4",
|
||||
"2C0E1DDC9B1E5389BA63845B18B1F8A1DB062037151BCC56EF7C21C0BB4DAE366636BBA975685D7CC5A94AFBE89C769016388C56FB7B57CE750A12B718A8BDCF70E80E8659A8330EFC8F86640F21735E8C80E23FE43ABF23507CE3F964AE4EC99D",
|
||||
"ED780CF911E6D1AA8C979B889B0B9DC1ABE261832980BDBFB576901D9EF5AB8048998E31A15BE54B3E5845A4D136AD24D0BDA1C3006168DF2F8AC06729CB0818867398150020131D8F04EDF1923758C9EABB5F735DE5EA1758D4BC0ACFCA98AFD202E9839B8720253693B874C65586C6F0"},
|
||||
{"C92F678EB2208662F5BCF3403EC05F5961E957908A3E79421E1D25FC19054153",
|
||||
"DA0F3A40983D92F2D4C01FED33C7A192",
|
||||
"2B6E9D26DB406A0FAB47608657AA10EFC2B4AA5F459B29FF85AC9A40BFFE7AEB04F77E9A11FAAA116D7F6D4DA417671A9AB02C588E0EF59CB1BFB4B1CC931B63A3B3A159FCEC97A04D1E6F0C7E6A9CEF6B0ABB04758A69F1FE754DF4C2610E8C46B6CF413BDB31351D55BEDCB7B4A13A1C98E10984475E0F2F957853",
|
||||
"F37326A80E08",
|
||||
"83519E53E321D334F7C10B568183775C0E9AAE55F806"},
|
||||
{"6847E0491BE57E72995D186D50094B0B3593957A5146798FCE68B287B2FB37B5",
|
||||
"3EE1182AEBB19A02B128F28E1D5F7F99",
|
||||
"D9F35ABB16D776CE",
|
||||
"DB7566ED8EA95BDF837F23DB277BAFBC5E70D1105ADFD0D9EF15475051B1EF94709C67DCA9F8D5",
|
||||
"2CDCED0C9EBD6E2A508822A685F7DCD1CDD99E7A5FCA786C234E7F7F1D27EC49751AD5DCFA30C5EDA87C43CAE3B919B6BBCFE34C8EDA59"},
|
||||
{"82B019673642C08388D3E42075A4D5D587558C229E4AB8F660E37650C4C41A0A",
|
||||
"336F5D681E0410FAE7B607246092C6DC",
|
||||
"D430CBD8FE435B64214E9E9CDC5DE99D31CFCFB8C10AA0587A49DF276611",
|
||||
"998404153AD77003E1737EDE93ED79859EE6DCCA93CB40C4363AA817ABF2DBBD46E42A14A7183B6CC01E12A577888141363D0AE011EB6E8D28C0B235",
|
||||
"9BEF69EEB60BD3D6065707B7557F25292A8872857CFBD24F2F3C088E4450995333088DA50FD9121221C504DF1D0CD5EFE6A12666C5D5BB12282CF4C19906E9CFAB97E9BDF7F49DC17CFC384B"},
|
||||
{"747B2E269B1859F0622C15C8BAD6A725028B1F94B8DB7326948D1E6ED663A8BC",
|
||||
"AB91F7245DDCE3F1C747872D47BE0A8A",
|
||||
"3B03F786EF1DDD76E1D42646DA4CD2A5165DC5383CE86D1A0B5F13F910DC278A4E451EE0192CBA178E13B3BA27FDC7840DF73D2E104B",
|
||||
"6B803F4701114F3E5FE21718845F8416F70F626303F545BE197189E0A2BA396F37CE06D389EB2658BC7D56D67868708F6D0D32",
|
||||
"1570DDB0BCE75AA25D1957A287A2C36B1A5F2270186DA81BA6112B7F43B0F3D1D0ED072591DCF1F1C99BBB25621FC39B896FF9BD9413A2845363A9DCD310C32CF98E57"},
|
||||
{"02E59853FB29AEDA0FE1C5F19180AD99A12FF2F144670BB2B8BADF09AD812E0A",
|
||||
"C691294EF67CD04D1B9242AF83DD1421",
|
||||
"879334DAE3",
|
||||
"1E17F46A98FEF5CBB40759D95354",
|
||||
"FED8C3FF27DDF6313AED444A2985B36CBA268AAD6AAC563C0BA28F6DB5DB"},
|
||||
{"F6C1FB9B4188F2288FF03BD716023198C3582CF2A037FC2F29760916C2B7FCDB",
|
||||
"4228DA0678CA3534588859E77DFF014C",
|
||||
"D8153CAF35539A61DD8D05B3C9B44F01E564FB9348BCD09A1C23B84195171308861058F0A3CD2A55B912A3AAEE06FF4D356C77275828F2157C2FC7C115DA39E443210CCC56BEDB0CC99BBFB227ABD5CC454F4E7F547C7378A659EEB6A7E809101A84F866503CB18D4484E1FA09B3EC7FC75EB2E35270800AA7",
|
||||
"23B660A779AD285704B12EC1C580387A47BEC7B00D452C6570",
|
||||
"5AA642BBABA8E49849002A2FAF31DB8FC7773EFDD656E469CEC19B3206D4174C9A263D0A05484261F6"},
|
||||
{"8FF6086F1FADB9A3FBE245EAC52640C43B39D43F89526BB5A6EBA47710931446",
|
||||
"943188480C99437495958B0AE4831AA9",
|
||||
"AD5CD0BDA426F6EBA23C8EB23DC73FF9FEC173355EDBD6C9344C4C4383F211888F7CE6B29899A6801DF6B38651A7C77150941A",
|
||||
"80CD5EA8D7F81DDF5070B934937912E8F541A5301877528EB41AB60C020968D459960ED8FB73083329841A",
|
||||
"ABAE8EB7F36FCA2362551E72DAC890BA1BB6794797E0FC3B67426EC9372726ED4725D379EA0AC9147E48DCD0005C502863C2C5358A38817C8264B5"},
|
||||
{"A083B54E6B1FE01B65D42FCD248F97BB477A41462BBFE6FD591006C022C8FD84",
|
||||
"B0490F5BD68A52459556B3749ACDF40E",
|
||||
"8892E047DA5CFBBDF7F3CFCBD1BD21C6D4C80774B1826999234394BD3E513CC7C222BB40E1E3140A152F19B3802F0D036C24A590512AD0E8",
|
||||
"D7B15752789DC94ED0F36778A5C7BBB207BEC32BAC66E702B39966F06E381E090C6757653C3D26A81EC6AD6C364D66867A334C91BB0B8A8A4B6EACDF0783D09010AEBA2DD2062308FE99CC1F",
|
||||
"C071280A732ADC93DF272BF1E613B2BB7D46FC6665EF2DC1671F3E211D6BDE1D6ADDD28DF3AA2E47053FC8BB8AE9271EC8BC8B2CFFA320D225B451685B6D23ACEFDD241FE284F8ADC8DB07F456985B14330BBB66E0FB212213E05B3E"},
|
||||
}
|
||||
92
vendor/github.com/ProtonMail/go-crypto/internal/byteutil/byteutil.go
generated
vendored
92
vendor/github.com/ProtonMail/go-crypto/internal/byteutil/byteutil.go
generated
vendored
@ -1,92 +0,0 @@
|
||||
// Copyright (C) 2019 ProtonTech AG
|
||||
// This file contains necessary tools for the aex and ocb packages.
|
||||
//
|
||||
// These functions SHOULD NOT be used elsewhere, since they are optimized for
|
||||
// specific input nature in the EAX and OCB modes of operation.
|
||||
|
||||
package byteutil
|
||||
|
||||
// GfnDouble computes 2 * input in the field of 2^n elements.
|
||||
// The irreducible polynomial in the finite field for n=128 is
|
||||
// x^128 + x^7 + x^2 + x + 1 (equals 0x87)
|
||||
// Constant-time execution in order to avoid side-channel attacks
|
||||
func GfnDouble(input []byte) []byte {
|
||||
if len(input) != 16 {
|
||||
panic("Doubling in GFn only implemented for n = 128")
|
||||
}
|
||||
// If the first bit is zero, return 2L = L << 1
|
||||
// Else return (L << 1) xor 0^120 10000111
|
||||
shifted := ShiftBytesLeft(input)
|
||||
shifted[15] ^= ((input[0] >> 7) * 0x87)
|
||||
return shifted
|
||||
}
|
||||
|
||||
// ShiftBytesLeft outputs the byte array corresponding to x << 1 in binary.
|
||||
func ShiftBytesLeft(x []byte) []byte {
|
||||
l := len(x)
|
||||
dst := make([]byte, l)
|
||||
for i := 0; i < l-1; i++ {
|
||||
dst[i] = (x[i] << 1) | (x[i+1] >> 7)
|
||||
}
|
||||
dst[l-1] = x[l-1] << 1
|
||||
return dst
|
||||
}
|
||||
|
||||
// ShiftNBytesLeft puts in dst the byte array corresponding to x << n in binary.
|
||||
func ShiftNBytesLeft(dst, x []byte, n int) {
|
||||
// Erase first n / 8 bytes
|
||||
copy(dst, x[n/8:])
|
||||
|
||||
// Shift the remaining n % 8 bits
|
||||
bits := uint(n % 8)
|
||||
l := len(dst)
|
||||
for i := 0; i < l-1; i++ {
|
||||
dst[i] = (dst[i] << bits) | (dst[i+1] >> uint(8 - bits))
|
||||
}
|
||||
dst[l-1] = dst[l-1] << bits
|
||||
|
||||
// Append trailing zeroes
|
||||
dst = append(dst, make([]byte, n/8)...)
|
||||
}
|
||||
|
||||
// XorBytesMut assumes equal input length, replaces X with X XOR Y
|
||||
func XorBytesMut(X, Y []byte) {
|
||||
for i := 0; i < len(X); i++ {
|
||||
X[i] ^= Y[i]
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
// XorBytes assumes equal input length, puts X XOR Y into Z
|
||||
func XorBytes(Z, X, Y []byte) {
|
||||
for i := 0; i < len(X); i++ {
|
||||
Z[i] = X[i] ^ Y[i]
|
||||
}
|
||||
}
|
||||
|
||||
// RightXor XORs smaller input (assumed Y) at the right of the larger input (assumed X)
|
||||
func RightXor(X, Y []byte) []byte {
|
||||
offset := len(X) - len(Y)
|
||||
xored := make([]byte, len(X));
|
||||
copy(xored, X)
|
||||
for i := 0; i < len(Y); i++ {
|
||||
xored[offset + i] ^= Y[i]
|
||||
}
|
||||
return xored
|
||||
}
|
||||
|
||||
// SliceForAppend takes a slice and a requested number of bytes. It returns a
|
||||
// slice with the contents of the given slice followed by that many bytes and a
|
||||
// second slice that aliases into it and contains only the extra bytes. If the
|
||||
// original slice has sufficient capacity then no allocation is performed.
|
||||
func SliceForAppend(in []byte, n int) (head, tail []byte) {
|
||||
if total := len(in) + n; cap(in) >= total {
|
||||
head = in[:total]
|
||||
} else {
|
||||
head = make([]byte, total)
|
||||
copy(head, in)
|
||||
}
|
||||
tail = head[len(in):]
|
||||
return
|
||||
}
|
||||
|
||||
317
vendor/github.com/ProtonMail/go-crypto/ocb/ocb.go
generated
vendored
317
vendor/github.com/ProtonMail/go-crypto/ocb/ocb.go
generated
vendored
@ -1,317 +0,0 @@
|
||||
// Copyright (C) 2019 ProtonTech AG
|
||||
|
||||
// Package ocb provides an implementation of the OCB (offset codebook) mode of
|
||||
// operation, as described in RFC-7253 of the IRTF and in Rogaway, Bellare,
|
||||
// Black and Krovetz - OCB: A BLOCK-CIPHER MODE OF OPERATION FOR EFFICIENT
|
||||
// AUTHENTICATED ENCRYPTION (2003).
|
||||
// Security considerations (from RFC-7253): A private key MUST NOT be used to
|
||||
// encrypt more than 2^48 blocks. Tag length should be at least 12 bytes (a
|
||||
// brute-force forging adversary succeeds after 2^{tag length} attempts). A
|
||||
// single key SHOULD NOT be used to decrypt ciphertext with different tag
|
||||
// lengths. Nonces need not be secret, but MUST NOT be reused.
|
||||
// This package only supports underlying block ciphers with 128-bit blocks,
|
||||
// such as AES-{128, 192, 256}, but may be extended to other sizes.
|
||||
package ocb
|
||||
|
||||
import (
|
||||
"bytes"
|
||||
"crypto/cipher"
|
||||
"crypto/subtle"
|
||||
"errors"
|
||||
"github.com/ProtonMail/go-crypto/internal/byteutil"
|
||||
"math/bits"
|
||||
)
|
||||
|
||||
type ocb struct {
|
||||
block cipher.Block
|
||||
tagSize int
|
||||
nonceSize int
|
||||
mask mask
|
||||
// Optimized en/decrypt: For each nonce N used to en/decrypt, the 'Ktop'
|
||||
// internal variable can be reused for en/decrypting with nonces sharing
|
||||
// all but the last 6 bits with N. The prefix of the first nonce used to
|
||||
// compute the new Ktop, and the Ktop value itself, are stored in
|
||||
// reusableKtop. If using incremental nonces, this saves one block cipher
|
||||
// call every 63 out of 64 OCB encryptions, and stores one nonce and one
|
||||
// output of the block cipher in memory only.
|
||||
reusableKtop reusableKtop
|
||||
}
|
||||
|
||||
type mask struct {
|
||||
// L_*, L_$, (L_i)_{i ∈ N}
|
||||
lAst []byte
|
||||
lDol []byte
|
||||
L [][]byte
|
||||
}
|
||||
|
||||
type reusableKtop struct {
|
||||
noncePrefix []byte
|
||||
Ktop []byte
|
||||
}
|
||||
|
||||
const (
|
||||
defaultTagSize = 16
|
||||
defaultNonceSize = 15
|
||||
)
|
||||
|
||||
const (
|
||||
enc = iota
|
||||
dec
|
||||
)
|
||||
|
||||
func (o *ocb) NonceSize() int {
|
||||
return o.nonceSize
|
||||
}
|
||||
|
||||
func (o *ocb) Overhead() int {
|
||||
return o.tagSize
|
||||
}
|
||||
|
||||
// NewOCB returns an OCB instance with the given block cipher and default
|
||||
// tag and nonce sizes.
|
||||
func NewOCB(block cipher.Block) (cipher.AEAD, error) {
|
||||
return NewOCBWithNonceAndTagSize(block, defaultNonceSize, defaultTagSize)
|
||||
}
|
||||
|
||||
// NewOCBWithNonceAndTagSize returns an OCB instance with the given block
|
||||
// cipher, nonce length, and tag length. Panics on zero nonceSize and
|
||||
// exceedingly long tag size.
|
||||
//
|
||||
// It is recommended to use at least 12 bytes as tag length.
|
||||
func NewOCBWithNonceAndTagSize(
|
||||
block cipher.Block, nonceSize, tagSize int) (cipher.AEAD, error) {
|
||||
if block.BlockSize() != 16 {
|
||||
return nil, ocbError("Block cipher must have 128-bit blocks")
|
||||
}
|
||||
if nonceSize < 1 {
|
||||
return nil, ocbError("Incorrect nonce length")
|
||||
}
|
||||
if nonceSize >= block.BlockSize() {
|
||||
return nil, ocbError("Nonce length exceeds blocksize - 1")
|
||||
}
|
||||
if tagSize > block.BlockSize() {
|
||||
return nil, ocbError("Custom tag length exceeds blocksize")
|
||||
}
|
||||
return &ocb{
|
||||
block: block,
|
||||
tagSize: tagSize,
|
||||
nonceSize: nonceSize,
|
||||
mask: initializeMaskTable(block),
|
||||
reusableKtop: reusableKtop{
|
||||
noncePrefix: nil,
|
||||
Ktop: nil,
|
||||
},
|
||||
}, nil
|
||||
}
|
||||
|
||||
func (o *ocb) Seal(dst, nonce, plaintext, adata []byte) []byte {
|
||||
if len(nonce) > o.nonceSize {
|
||||
panic("crypto/ocb: Incorrect nonce length given to OCB")
|
||||
}
|
||||
ret, out := byteutil.SliceForAppend(dst, len(plaintext)+o.tagSize)
|
||||
o.crypt(enc, out, nonce, adata, plaintext)
|
||||
return ret
|
||||
}
|
||||
|
||||
func (o *ocb) Open(dst, nonce, ciphertext, adata []byte) ([]byte, error) {
|
||||
if len(nonce) > o.nonceSize {
|
||||
panic("Nonce too long for this instance")
|
||||
}
|
||||
if len(ciphertext) < o.tagSize {
|
||||
return nil, ocbError("Ciphertext shorter than tag length")
|
||||
}
|
||||
sep := len(ciphertext) - o.tagSize
|
||||
ret, out := byteutil.SliceForAppend(dst, len(ciphertext))
|
||||
ciphertextData := ciphertext[:sep]
|
||||
tag := ciphertext[sep:]
|
||||
o.crypt(dec, out, nonce, adata, ciphertextData)
|
||||
if subtle.ConstantTimeCompare(ret[sep:], tag) == 1 {
|
||||
ret = ret[:sep]
|
||||
return ret, nil
|
||||
}
|
||||
for i := range out {
|
||||
out[i] = 0
|
||||
}
|
||||
return nil, ocbError("Tag authentication failed")
|
||||
}
|
||||
|
||||
// On instruction enc (resp. dec), crypt is the encrypt (resp. decrypt)
|
||||
// function. It returns the resulting plain/ciphertext with the tag appended.
|
||||
func (o *ocb) crypt(instruction int, Y, nonce, adata, X []byte) []byte {
|
||||
//
|
||||
// Consider X as a sequence of 128-bit blocks
|
||||
//
|
||||
// Note: For encryption (resp. decryption), X is the plaintext (resp., the
|
||||
// ciphertext without the tag).
|
||||
blockSize := o.block.BlockSize()
|
||||
|
||||
//
|
||||
// Nonce-dependent and per-encryption variables
|
||||
//
|
||||
// Zero out the last 6 bits of the nonce into truncatedNonce to see if Ktop
|
||||
// is already computed.
|
||||
truncatedNonce := make([]byte, len(nonce))
|
||||
copy(truncatedNonce, nonce)
|
||||
truncatedNonce[len(truncatedNonce)-1] &= 192
|
||||
Ktop := make([]byte, blockSize)
|
||||
if bytes.Equal(truncatedNonce, o.reusableKtop.noncePrefix) {
|
||||
Ktop = o.reusableKtop.Ktop
|
||||
} else {
|
||||
// Nonce = num2str(TAGLEN mod 128, 7) || zeros(120 - bitlen(N)) || 1 || N
|
||||
paddedNonce := append(make([]byte, blockSize-1-len(nonce)), 1)
|
||||
paddedNonce = append(paddedNonce, truncatedNonce...)
|
||||
paddedNonce[0] |= byte(((8 * o.tagSize) % (8 * blockSize)) << 1)
|
||||
// Last 6 bits of paddedNonce are already zero. Encrypt into Ktop
|
||||
paddedNonce[blockSize-1] &= 192
|
||||
Ktop = paddedNonce
|
||||
o.block.Encrypt(Ktop, Ktop)
|
||||
o.reusableKtop.noncePrefix = truncatedNonce
|
||||
o.reusableKtop.Ktop = Ktop
|
||||
}
|
||||
|
||||
// Stretch = Ktop || ((lower half of Ktop) XOR (lower half of Ktop << 8))
|
||||
xorHalves := make([]byte, blockSize/2)
|
||||
byteutil.XorBytes(xorHalves, Ktop[:blockSize/2], Ktop[1:1+blockSize/2])
|
||||
stretch := append(Ktop, xorHalves...)
|
||||
bottom := int(nonce[len(nonce)-1] & 63)
|
||||
offset := make([]byte, len(stretch))
|
||||
byteutil.ShiftNBytesLeft(offset, stretch, bottom)
|
||||
offset = offset[:blockSize]
|
||||
|
||||
//
|
||||
// Process any whole blocks
|
||||
//
|
||||
// Note: For encryption Y is ciphertext || tag, for decryption Y is
|
||||
// plaintext || tag.
|
||||
checksum := make([]byte, blockSize)
|
||||
m := len(X) / blockSize
|
||||
for i := 0; i < m; i++ {
|
||||
index := bits.TrailingZeros(uint(i + 1))
|
||||
if len(o.mask.L)-1 < index {
|
||||
o.mask.extendTable(index)
|
||||
}
|
||||
byteutil.XorBytesMut(offset, o.mask.L[bits.TrailingZeros(uint(i+1))])
|
||||
blockX := X[i*blockSize : (i+1)*blockSize]
|
||||
blockY := Y[i*blockSize : (i+1)*blockSize]
|
||||
byteutil.XorBytes(blockY, blockX, offset)
|
||||
switch instruction {
|
||||
case enc:
|
||||
o.block.Encrypt(blockY, blockY)
|
||||
byteutil.XorBytesMut(blockY, offset)
|
||||
byteutil.XorBytesMut(checksum, blockX)
|
||||
case dec:
|
||||
o.block.Decrypt(blockY, blockY)
|
||||
byteutil.XorBytesMut(blockY, offset)
|
||||
byteutil.XorBytesMut(checksum, blockY)
|
||||
}
|
||||
}
|
||||
//
|
||||
// Process any final partial block and compute raw tag
|
||||
//
|
||||
tag := make([]byte, blockSize)
|
||||
if len(X)%blockSize != 0 {
|
||||
byteutil.XorBytesMut(offset, o.mask.lAst)
|
||||
pad := make([]byte, blockSize)
|
||||
o.block.Encrypt(pad, offset)
|
||||
chunkX := X[blockSize*m:]
|
||||
chunkY := Y[blockSize*m : len(X)]
|
||||
byteutil.XorBytes(chunkY, chunkX, pad[:len(chunkX)])
|
||||
// P_* || bit(1) || zeroes(127) - len(P_*)
|
||||
switch instruction {
|
||||
case enc:
|
||||
paddedY := append(chunkX, byte(128))
|
||||
paddedY = append(paddedY, make([]byte, blockSize-len(chunkX)-1)...)
|
||||
byteutil.XorBytesMut(checksum, paddedY)
|
||||
case dec:
|
||||
paddedX := append(chunkY, byte(128))
|
||||
paddedX = append(paddedX, make([]byte, blockSize-len(chunkY)-1)...)
|
||||
byteutil.XorBytesMut(checksum, paddedX)
|
||||
}
|
||||
byteutil.XorBytes(tag, checksum, offset)
|
||||
byteutil.XorBytesMut(tag, o.mask.lDol)
|
||||
o.block.Encrypt(tag, tag)
|
||||
byteutil.XorBytesMut(tag, o.hash(adata))
|
||||
copy(Y[blockSize*m+len(chunkY):], tag[:o.tagSize])
|
||||
} else {
|
||||
byteutil.XorBytes(tag, checksum, offset)
|
||||
byteutil.XorBytesMut(tag, o.mask.lDol)
|
||||
o.block.Encrypt(tag, tag)
|
||||
byteutil.XorBytesMut(tag, o.hash(adata))
|
||||
copy(Y[blockSize*m:], tag[:o.tagSize])
|
||||
}
|
||||
return Y
|
||||
}
|
||||
|
||||
// This hash function is used to compute the tag. Per design, on empty input it
|
||||
// returns a slice of zeros, of the same length as the underlying block cipher
|
||||
// block size.
|
||||
func (o *ocb) hash(adata []byte) []byte {
|
||||
//
|
||||
// Consider A as a sequence of 128-bit blocks
|
||||
//
|
||||
A := make([]byte, len(adata))
|
||||
copy(A, adata)
|
||||
blockSize := o.block.BlockSize()
|
||||
|
||||
//
|
||||
// Process any whole blocks
|
||||
//
|
||||
sum := make([]byte, blockSize)
|
||||
offset := make([]byte, blockSize)
|
||||
m := len(A) / blockSize
|
||||
for i := 0; i < m; i++ {
|
||||
chunk := A[blockSize*i : blockSize*(i+1)]
|
||||
index := bits.TrailingZeros(uint(i + 1))
|
||||
// If the mask table is too short
|
||||
if len(o.mask.L)-1 < index {
|
||||
o.mask.extendTable(index)
|
||||
}
|
||||
byteutil.XorBytesMut(offset, o.mask.L[index])
|
||||
byteutil.XorBytesMut(chunk, offset)
|
||||
o.block.Encrypt(chunk, chunk)
|
||||
byteutil.XorBytesMut(sum, chunk)
|
||||
}
|
||||
|
||||
//
|
||||
// Process any final partial block; compute final hash value
|
||||
//
|
||||
if len(A)%blockSize != 0 {
|
||||
byteutil.XorBytesMut(offset, o.mask.lAst)
|
||||
// Pad block with 1 || 0 ^ 127 - bitlength(a)
|
||||
ending := make([]byte, blockSize-len(A)%blockSize)
|
||||
ending[0] = 0x80
|
||||
encrypted := append(A[blockSize*m:], ending...)
|
||||
byteutil.XorBytesMut(encrypted, offset)
|
||||
o.block.Encrypt(encrypted, encrypted)
|
||||
byteutil.XorBytesMut(sum, encrypted)
|
||||
}
|
||||
return sum
|
||||
}
|
||||
|
||||
func initializeMaskTable(block cipher.Block) mask {
|
||||
//
|
||||
// Key-dependent variables
|
||||
//
|
||||
lAst := make([]byte, block.BlockSize())
|
||||
block.Encrypt(lAst, lAst)
|
||||
lDol := byteutil.GfnDouble(lAst)
|
||||
L := make([][]byte, 1)
|
||||
L[0] = byteutil.GfnDouble(lDol)
|
||||
|
||||
return mask{
|
||||
lAst: lAst,
|
||||
lDol: lDol,
|
||||
L: L,
|
||||
}
|
||||
}
|
||||
|
||||
// Extends the L array of mask m up to L[limit], with L[i] = GfnDouble(L[i-1])
|
||||
func (m *mask) extendTable(limit int) {
|
||||
for i := len(m.L); i <= limit; i++ {
|
||||
m.L = append(m.L, byteutil.GfnDouble(m.L[i-1]))
|
||||
}
|
||||
}
|
||||
|
||||
func ocbError(err string) error {
|
||||
return errors.New("crypto/ocb: " + err)
|
||||
}
|
||||
136
vendor/github.com/ProtonMail/go-crypto/ocb/random_vectors.go
generated
vendored
136
vendor/github.com/ProtonMail/go-crypto/ocb/random_vectors.go
generated
vendored
@ -1,136 +0,0 @@
|
||||
// In the test vectors provided by RFC 7253, the "bottom"
|
||||
// internal variable, which defines "offset" for the first time, does not
|
||||
// exceed 15. However, it can attain values up to 63.
|
||||
|
||||
// These vectors include key length in {128, 192, 256}, tag size 128, and
|
||||
// random nonce, header, and plaintext lengths.
|
||||
|
||||
// This file was automatically generated.
|
||||
|
||||
package ocb
|
||||
|
||||
var randomVectors = []struct {
|
||||
key, nonce, header, plaintext, ciphertext string
|
||||
}{
|
||||
|
||||
{"9438C5D599308EAF13F800D2D31EA7F0",
|
||||
"C38EE4801BEBFFA1CD8635BE",
|
||||
"0E507B7DADD8A98CDFE272D3CB6B3E8332B56AE583FB049C0874D4200BED16BD1A044182434E9DA0E841F182DFD5B3016B34641CED0784F1745F63AB3D0DA22D3351C9EF9A658B8081E24498EBF61FCE40DA6D8E184536",
|
||||
"962D227786FB8913A8BAD5DC3250",
|
||||
"EEDEF5FFA5986D1E3BF86DDD33EF9ADC79DCA06E215FA772CCBA814F63AD"},
|
||||
{"BA7DE631C7D6712167C6724F5B9A2B1D",
|
||||
"35263EBDA05765DC0E71F1F5",
|
||||
"0103257B4224507C0242FEFE821EA7FA42E0A82863E5F8B68F7D881B4B44FA428A2B6B21D2F591260802D8AB6D83",
|
||||
"9D6D1FC93AE8A64E7889B7B2E3521EFA9B920A8DDB692E6F833DDC4A38AFA535E5E2A3ED82CB7E26404AB86C54D01C4668F28398C2DF33D5D561CBA1C8DCFA7A912F5048E545B59483C0E3221F54B14DAA2E4EB657B3BEF9554F34CAD69B2724AE962D3D8A",
|
||||
"E93852D1985C5E775655E937FA79CE5BF28A585F2AF53A5018853B9634BE3C84499AC0081918FDCE0624494D60E25F76ACD6853AC7576E3C350F332249BFCABD4E73CEABC36BE4EDDA40914E598AE74174A0D7442149B26990899491BDDFE8FC54D6C18E83AE9E9A6FFBF5D376565633862EEAD88D"},
|
||||
{"2E74B25289F6FD3E578C24866E9C72A5",
|
||||
"FD912F15025AF8414642BA1D1D",
|
||||
"FB5FB8C26F365EEDAB5FE260C6E3CCD27806729C8335F146063A7F9EA93290E56CF84576EB446350D22AD730547C267B1F0BBB97EB34E1E2C41A",
|
||||
"6C092EBF78F76EE8C1C6E592277D9545BA16EDB67BC7D8480B9827702DC2F8A129E2B08A2CE710CA7E1DA45CE162BB6CD4B512E632116E2211D3C90871EFB06B8D4B902681C7FB",
|
||||
"6AC0A77F26531BF4F354A1737F99E49BE32ECD909A7A71AD69352906F54B08A9CE9B8CA5D724CBFFC5673437F23F630697F3B84117A1431D6FA8CC13A974FB4AD360300522E09511B99E71065D5AC4BBCB1D791E864EF4"},
|
||||
{"E7EC507C802528F790AFF5303A017B17",
|
||||
"4B97A7A568940A9E3CE7A99E93031E",
|
||||
"28349BDC5A09390C480F9B8AA3EDEA3DDB8B9D64BCA322C570B8225DF0E31190DAB25A4014BA39519E02ABFB12B89AA28BBFD29E486E7FB28734258C817B63CED9912DBAFEBB93E2798AB2890DE3B0ACFCFF906AB15563EF7823CE83D27CDB251195E22BD1337BCBDE65E7C2C427321C463C2777BFE5AEAA",
|
||||
"9455B3EA706B74",
|
||||
"7F33BA3EA848D48A96B9530E26888F43EBD4463C9399B6"},
|
||||
{"6C928AA3224736F28EE7378DE0090191",
|
||||
"8936138E2E4C6A13280017A1622D",
|
||||
"6202717F2631565BDCDC57C6584543E72A7C8BD444D0D108ED35069819633C",
|
||||
"DA0691439E5F035F3E455269D14FE5C201C8C9B0A3FE2D3F86BCC59387C868FE65733D388360B31E3CE28B4BF6A8BE636706B536D5720DB66B47CF1C7A5AFD6F61E0EF90F1726D6B0E169F9A768B2B7AE4EE00A17F630AC905FCAAA1B707FFF25B3A1AAE83B504837C64A5639B2A34002B300EC035C9B43654DA55",
|
||||
"B8804D182AB0F0EEB464FA7BD1329AD6154F982013F3765FEDFE09E26DAC078C9C1439BFC1159D6C02A25E3FF83EF852570117B315852AD5EE20E0FA3AA0A626B0E43BC0CEA38B44579DD36803455FB46989B90E6D229F513FD727AF8372517E9488384C515D6067704119C931299A0982EDDFB9C2E86A90C450C077EB222511EC9CCABC9FCFDB19F70088"},
|
||||
{"ECEA315CA4B3F425B0C9957A17805EA4",
|
||||
"664CDAE18403F4F9BA13015A44FC",
|
||||
"642AFB090D6C6DB46783F08B01A3EF2A8FEB5736B531EAC226E7888FCC8505F396818F83105065FACB3267485B9E5E4A0261F621041C08FCCB2A809A49AB5252A91D0971BCC620B9D614BD77E57A0EED2FA5",
|
||||
"6852C31F8083E20E364CEA21BB7854D67CEE812FE1C9ED2425C0932A90D3780728D1BB",
|
||||
"2ECEF962A9695A463ADABB275BDA9FF8B2BA57AEC2F52EFFB700CD9271A74D2A011C24AEA946051BD6291776429B7E681BA33E"},
|
||||
{"4EE616C4A58AAA380878F71A373461F6",
|
||||
"91B8C9C176D9C385E9C47E52",
|
||||
"CDA440B7F9762C572A718AC754EDEECC119E5EE0CCB9FEA4FFB22EEE75087C032EBF3DA9CDD8A28CC010B99ED45143B41A4BA50EA2A005473F89639237838867A57F23B0F0ED3BF22490E4501DAC9C658A9B9F",
|
||||
"D6E645FA9AE410D15B8123FD757FA356A8DBE9258DDB5BE88832E615910993F497EC",
|
||||
"B70ED7BF959FB2AAED4F36174A2A99BFB16992C8CDF369C782C4DB9C73DE78C5DB8E0615F647243B97ACDB24503BC9CADC48"},
|
||||
{"DCD475773136C830D5E3D0C5FE05B7FF",
|
||||
"BB8E1FBB483BE7616A922C4A",
|
||||
"36FEF2E1CB29E76A6EA663FC3AF66ECD7404F466382F7B040AABED62293302B56E8783EF7EBC21B4A16C3E78A7483A0A403F253A2CDC5BBF79DC3DAE6C73F39A961D8FBBE8D41B",
|
||||
"441E886EA38322B2437ECA7DEB5282518865A66780A454E510878E61BFEC3106A3CD93D2A02052E6F9E1832F9791053E3B76BF4C07EFDD6D4106E3027FABB752E60C1AA425416A87D53938163817A1051EBA1D1DEEB4B9B25C7E97368B52E5911A31810B0EC5AF547559B6142D9F4C4A6EF24A4CF75271BF9D48F62B",
|
||||
"1BE4DD2F4E25A6512C2CC71D24BBB07368589A94C2714962CD0ACE5605688F06342587521E75F0ACAFFD86212FB5C34327D238DB36CF2B787794B9A4412E7CD1410EA5DDD2450C265F29CF96013CD213FD2880657694D718558964BC189B4A84AFCF47EB012935483052399DBA5B088B0A0477F20DFE0E85DCB735E21F22A439FB837DD365A93116D063E607"},
|
||||
{"3FBA2B3D30177FFE15C1C59ED2148BB2C091F5615FBA7C07",
|
||||
"FACF804A4BEBF998505FF9DE",
|
||||
"8213B9263B2971A5BDA18DBD02208EE1",
|
||||
"15B323926993B326EA19F892D704439FC478828322AF72118748284A1FD8A6D814E641F70512FD706980337379F31DC63355974738D7FEA87AD2858C0C2EBBFBE74371C21450072373C7B651B334D7C4D43260B9D7CCD3AF9EDB",
|
||||
"6D35DC1469B26E6AAB26272A41B46916397C24C485B61162E640A062D9275BC33DDCFD3D9E1A53B6C8F51AC89B66A41D59B3574197A40D9B6DCF8A4E2A001409C8112F16B9C389E0096179DB914E05D6D11ED0005AD17E1CE105A2F0BAB8F6B1540DEB968B7A5428FF44"},
|
||||
{"53B52B8D4D748BCDF1DDE68857832FA46227FA6E2F32EFA1",
|
||||
"0B0EF53D4606B28D1398355F",
|
||||
"F23882436349094AF98BCACA8218E81581A043B19009E28EFBF2DE37883E04864148CC01D240552CA8844EC1456F42034653067DA67E80F87105FD06E14FF771246C9612867BE4D215F6D761",
|
||||
"F15030679BD4088D42CAC9BF2E9606EAD4798782FA3ED8C57EBE7F84A53236F51B25967C6489D0CD20C9EEA752F9BC",
|
||||
"67B96E2D67C3729C96DAEAEDF821D61C17E648643A2134C5621FEC621186915AD80864BFD1EB5B238BF526A679385E012A457F583AFA78134242E9D9C1B4E4"},
|
||||
{"0272DD80F23399F49BFC320381A5CD8225867245A49A7D41",
|
||||
"5C83F4896D0738E1366B1836",
|
||||
"69B0337289B19F73A12BAEEA857CCAF396C11113715D9500CCCF48BA08CFF12BC8B4BADB3084E63B85719DB5058FA7C2C11DEB096D7943CFA7CAF5",
|
||||
"C01AD10FC8B562CD17C7BC2FAB3E26CBDFF8D7F4DEA816794BBCC12336991712972F52816AABAB244EB43B0137E2BAC1DD413CE79531E78BEF782E6B439612BB3AEF154DE3502784F287958EBC159419F9EBA27916A28D6307324129F506B1DE80C1755A929F87",
|
||||
"FEFE52DD7159C8DD6E8EC2D3D3C0F37AB6CB471A75A071D17EC4ACDD8F3AA4D7D4F7BB559F3C09099E3D9003E5E8AA1F556B79CECDE66F85B08FA5955E6976BF2695EA076388A62D2AD5BAB7CBF1A7F3F4C8D5CDF37CDE99BD3E30B685D9E5EEE48C7C89118EF4878EB89747F28271FA2CC45F8E9E7601"},
|
||||
{"3EEAED04A455D6E5E5AB53CFD5AFD2F2BC625C7BF4BE49A5",
|
||||
"36B88F63ADBB5668588181D774",
|
||||
"D367E3CB3703E762D23C6533188EF7028EFF9D935A3977150361997EC9DEAF1E4794BDE26AA8B53C124980B1362EC86FCDDFC7A90073171C1BAEE351A53234B86C66E8AB92FAE99EC6967A6D3428892D80",
|
||||
"573454C719A9A55E04437BF7CBAAF27563CCCD92ADD5E515CD63305DFF0687E5EEF790C5DCA5C0033E9AB129505E2775438D92B38F08F3B0356BA142C6F694",
|
||||
"E9F79A5B432D9E682C9AAA5661CFC2E49A0FCB81A431E54B42EB73DD3BED3F377FEC556ABA81624BA64A5D739AD41467460088F8D4F442180A9382CA635745473794C382FCDDC49BA4EB6D8A44AE3C"},
|
||||
{"B695C691538F8CBD60F039D0E28894E3693CC7C36D92D79D",
|
||||
"BC099AEB637361BAC536B57618",
|
||||
"BFFF1A65AE38D1DC142C71637319F5F6508E2CB33C9DCB94202B359ED5A5ED8042E7F4F09231D32A7242976677E6F4C549BF65FADC99E5AF43F7A46FD95E16C2",
|
||||
"081DF3FD85B415D803F0BE5AC58CFF0023FDDED99788296C3731D8",
|
||||
"E50C64E3614D94FE69C47092E46ACC9957C6FEA2CCBF96BC62FBABE7424753C75F9C147C42AE26FE171531"},
|
||||
{"C9ACBD2718F0689A1BE9802A551B6B8D9CF5614DAF5E65ED",
|
||||
"B1B0AAF373B8B026EB80422051D8",
|
||||
"6648C0E61AC733C76119D23FB24548D637751387AA2EAE9D80E912B7BD486CAAD9EAF4D7A5FE2B54AAD481E8EC94BB4D558000896E2010462B70C9FED1E7273080D1",
|
||||
"189F591F6CB6D59AFEDD14C341741A8F1037DC0DF00FC57CE65C30F49E860255CEA5DC6019380CC0FE8880BC1A9E685F41C239C38F36E3F2A1388865C5C311059C0A",
|
||||
"922A5E949B61D03BE34AB5F4E58607D4504EA14017BB363DAE3C873059EA7A1C77A746FB78981671D26C2CF6D9F24952D510044CE02A10177E9DB42D0145211DFE6E84369C5E3BC2669EAB4147B2822895F9"},
|
||||
{"7A832BD2CF5BF4919F353CE2A8C86A5E406DA2D52BE16A72",
|
||||
"2F2F17CECF7E5A756D10785A3CB9DB",
|
||||
"61DA05E3788CC2D8405DBA70C7A28E5AF699863C9F72E6C6770126929F5D6FA267F005EBCF49495CB46400958A3AE80D1289D1C671",
|
||||
"44E91121195A41AF14E8CFDBD39A4B517BE0DF1A72977ED8A3EEF8EEDA1166B2EB6DB2C4AE2E74FA0F0C74537F659BFBD141E5DDEC67E64EDA85AABD3F52C85A785B9FB3CECD70E7DF",
|
||||
"BEDF596EA21288D2B84901E188F6EE1468B14D5161D3802DBFE00D60203A24E2AB62714BF272A45551489838C3A7FEAADC177B591836E73684867CCF4E12901DCF2064058726BBA554E84ADC5136F507E961188D4AF06943D3"},
|
||||
{"1508E8AE9079AA15F1CEC4F776B4D11BCCB061B58AA56C18",
|
||||
"BCA625674F41D1E3AB47672DC0C3",
|
||||
"8B12CF84F16360F0EAD2A41BC021530FFCEC7F3579CAE658E10E2D3D81870F65AFCED0C77C6C4C6E6BA424FF23088C796BA6195ABA35094BF1829E089662E7A95FC90750AE16D0C8AFA55DAC789D7735B970B58D4BE7CEC7341DA82A0179A01929C27A59C5063215B859EA43",
|
||||
"E525422519ECE070E82C",
|
||||
"B47BC07C3ED1C0A43BA52C43CBACBCDBB29CAF1001E09FDF7107"},
|
||||
{"7550C2761644E911FE9ADD119BAC07376BEA442845FEAD876D7E7AC1B713E464",
|
||||
"36D2EC25ADD33CDEDF495205BBC923",
|
||||
"7FCFE81A3790DE97FFC3DE160C470847EA7E841177C2F759571CBD837EA004A6CA8C6F4AEBFF2E9FD552D73EB8A30705D58D70C0B67AEEA280CBBF0A477358ACEF1E7508F2735CD9A0E4F9AC92B8C008F575D3B6278F1C18BD01227E3502E5255F3AB1893632AD00C717C588EF652A51A43209E7EE90",
|
||||
"2B1A62F8FDFAA3C16470A21AD307C9A7D03ADE8EF72C69B06F8D738CDE578D7AEFD0D40BD9C022FB9F580DF5394C998ACCCEFC5471A3996FB8F1045A81FDC6F32D13502EA65A211390C8D882B8E0BEFD8DD8CBEF51D1597B124E9F7F",
|
||||
"C873E02A22DB89EB0787DB6A60B99F7E4A0A085D5C4232A81ADCE2D60AA36F92DDC33F93DD8640AC0E08416B187FB382B3EC3EE85A64B0E6EE41C1366A5AD2A282F66605E87031CCBA2FA7B2DA201D975994AADE3DD1EE122AE09604AD489B84BF0C1AB7129EE16C6934850E"},
|
||||
{"A51300285E554FDBDE7F771A9A9A80955639DD87129FAEF74987C91FB9687C71",
|
||||
"81691D5D20EC818FCFF24B33DECC",
|
||||
"C948093218AA9EB2A8E44A87EEA73FC8B6B75A196819A14BD83709EA323E8DF8B491045220E1D88729A38DBCFFB60D3056DAD4564498FD6574F74512945DEB34B69329ACED9FFC05D5D59DFCD5B973E2ACAFE6AD1EF8BBBC49351A2DD12508ED89ED",
|
||||
"EB861165DAF7625F827C6B574ED703F03215",
|
||||
"C6CD1CE76D2B3679C1B5AA1CFD67CCB55444B6BFD3E22C81CBC9BB738796B83E54E3"},
|
||||
{"8CE0156D26FAEB7E0B9B800BBB2E9D4075B5EAC5C62358B0E7F6FCE610223282",
|
||||
"D2A7B94DD12CDACA909D3AD7",
|
||||
"E021A78F374FC271389AB9A3E97077D755",
|
||||
"7C26000B58929F5095E1CEE154F76C2A299248E299F9B5ADE6C403AA1FD4A67FD4E0232F214CE7B919EE7A1027D2B76C57475715CD078461",
|
||||
"C556FB38DF069B56F337B5FF5775CE6EAA16824DFA754F20B78819028EA635C3BB7AA731DE8776B2DCB67DCA2D33EEDF3C7E52EA450013722A41755A0752433ED17BDD5991AAE77A"},
|
||||
{"1E8000A2CE00A561C9920A30BF0D7B983FEF8A1014C8F04C35CA6970E6BA02BD",
|
||||
"65ED3D63F79F90BBFD19775E",
|
||||
"336A8C0B7243582A46B221AA677647FCAE91",
|
||||
"134A8B34824A290E7B",
|
||||
"914FBEF80D0E6E17F8BDBB6097EBF5FBB0554952DC2B9E5151"},
|
||||
{"53D5607BBE690B6E8D8F6D97F3DF2BA853B682597A214B8AA0EA6E598650AF15",
|
||||
"C391A856B9FE234E14BA1AC7BB40FF",
|
||||
"479682BC21349C4BE1641D5E78FE2C79EC1B9CF5470936DCAD9967A4DCD7C4EFADA593BC9EDE71E6A08829B8580901B61E274227E9D918502DE3",
|
||||
"EAD154DC09C5E26C5D26FF33ED148B27120C7F2C23225CC0D0631B03E1F6C6D96FEB88C1A4052ACB4CE746B884B6502931F407021126C6AAB8C514C077A5A38438AE88EE",
|
||||
"938821286EBB671D999B87C032E1D6055392EB564E57970D55E545FC5E8BAB90E6E3E3C0913F6320995FC636D72CD9919657CC38BD51552F4A502D8D1FE56DB33EBAC5092630E69EBB986F0E15CEE9FC8C052501"},
|
||||
{"294362FCC984F440CEA3E9F7D2C06AF20C53AAC1B3738CA2186C914A6E193ABB",
|
||||
"B15B61C8BB39261A8F55AB178EC3",
|
||||
"D0729B6B75BB",
|
||||
"2BD089ADCE9F334BAE3B065996C7D616DD0C27DF4218DCEEA0FBCA0F968837CE26B0876083327E25681FDDD620A32EC0DA12F73FAE826CC94BFF2B90A54D2651",
|
||||
"AC94B25E4E21DE2437B806966CCD5D9385EF0CD4A51AB9FA6DE675C7B8952D67802E9FEC1FDE9F5D1EAB06057498BC0EEA454804FC9D2068982A3E24182D9AC2E7AB9994DDC899A604264583F63D066B"},
|
||||
{"959DBFEB039B1A5B8CE6A44649B602AAA5F98A906DB96143D202CD2024F749D9",
|
||||
"01D7BDB1133E9C347486C1EFA6",
|
||||
"F3843955BD741F379DD750585EDC55E2CDA05CCBA8C1F4622AC2FE35214BC3A019B8BD12C4CC42D9213D1E1556941E8D8450830287FFB3B763A13722DD4140ED9846FB5FFF745D7B0B967D810A068222E10B259AF1D392035B0D83DC1498A6830B11B2418A840212599171E0258A1C203B05362978",
|
||||
"A21811232C950FA8B12237C2EBD6A7CD2C3A155905E9E0C7C120",
|
||||
"63C1CE397B22F1A03F1FA549B43178BC405B152D3C95E977426D519B3DFCA28498823240592B6EEE7A14"},
|
||||
{"096AE499F5294173F34FF2B375F0E5D5AB79D0D03B33B1A74D7D576826345DF4",
|
||||
"0C52B3D11D636E5910A4DD76D32C",
|
||||
"229E9ECA3053789E937447BC719467075B6138A142DA528DA8F0CF8DDF022FD9AF8E74779BA3AC306609",
|
||||
"8B7A00038783E8BAF6EDEAE0C4EAB48FC8FD501A588C7E4A4DB71E3604F2155A97687D3D2FFF8569261375A513CF4398CE0F87CA1658A1050F6EF6C4EA3E25",
|
||||
"C20B6CF8D3C8241825FD90B2EDAC7593600646E579A8D8DAAE9E2E40C3835FE801B2BE4379131452BC5182C90307B176DFBE2049544222FE7783147B690774F6D9D7CEF52A91E61E298E9AA15464AC"},
|
||||
}
|
||||
78
vendor/github.com/ProtonMail/go-crypto/ocb/rfc7253_test_vectors_suite_a.go
generated
vendored
78
vendor/github.com/ProtonMail/go-crypto/ocb/rfc7253_test_vectors_suite_a.go
generated
vendored
@ -1,78 +0,0 @@
|
||||
package ocb
|
||||
|
||||
import (
|
||||
"encoding/hex"
|
||||
)
|
||||
|
||||
// Test vectors from https://tools.ietf.org/html/rfc7253. Note that key is
|
||||
// shared across tests.
|
||||
var testKey, _ = hex.DecodeString("000102030405060708090A0B0C0D0E0F")
|
||||
|
||||
var rfc7253testVectors = []struct {
|
||||
nonce, header, plaintext, ciphertext string
|
||||
}{
|
||||
{"BBAA99887766554433221100",
|
||||
"",
|
||||
"",
|
||||
"785407BFFFC8AD9EDCC5520AC9111EE6"},
|
||||
{"BBAA99887766554433221101",
|
||||
"0001020304050607",
|
||||
"0001020304050607",
|
||||
"6820B3657B6F615A5725BDA0D3B4EB3A257C9AF1F8F03009"},
|
||||
{"BBAA99887766554433221102",
|
||||
"0001020304050607",
|
||||
"",
|
||||
"81017F8203F081277152FADE694A0A00"},
|
||||
{"BBAA99887766554433221103",
|
||||
"",
|
||||
"0001020304050607",
|
||||
"45DD69F8F5AAE72414054CD1F35D82760B2CD00D2F99BFA9"},
|
||||
{"BBAA99887766554433221104",
|
||||
"000102030405060708090A0B0C0D0E0F",
|
||||
"000102030405060708090A0B0C0D0E0F",
|
||||
"571D535B60B277188BE5147170A9A22C3AD7A4FF3835B8C5701C1CCEC8FC3358"},
|
||||
{"BBAA99887766554433221105",
|
||||
"000102030405060708090A0B0C0D0E0F",
|
||||
"",
|
||||
"8CF761B6902EF764462AD86498CA6B97"},
|
||||
{"BBAA99887766554433221106",
|
||||
"",
|
||||
"000102030405060708090A0B0C0D0E0F",
|
||||
"5CE88EC2E0692706A915C00AEB8B2396F40E1C743F52436BDF06D8FA1ECA343D"},
|
||||
{"BBAA99887766554433221107",
|
||||
"000102030405060708090A0B0C0D0E0F1011121314151617",
|
||||
"000102030405060708090A0B0C0D0E0F1011121314151617",
|
||||
"1CA2207308C87C010756104D8840CE1952F09673A448A122C92C62241051F57356D7F3C90BB0E07F"},
|
||||
{"BBAA99887766554433221108",
|
||||
"000102030405060708090A0B0C0D0E0F1011121314151617",
|
||||
"",
|
||||
"6DC225A071FC1B9F7C69F93B0F1E10DE"},
|
||||
{"BBAA99887766554433221109",
|
||||
"",
|
||||
"000102030405060708090A0B0C0D0E0F1011121314151617",
|
||||
"221BD0DE7FA6FE993ECCD769460A0AF2D6CDED0C395B1C3CE725F32494B9F914D85C0B1EB38357FF"},
|
||||
{"BBAA9988776655443322110A",
|
||||
"000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F",
|
||||
"000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F",
|
||||
"BD6F6C496201C69296C11EFD138A467ABD3C707924B964DEAFFC40319AF5A48540FBBA186C5553C68AD9F592A79A4240"},
|
||||
{"BBAA9988776655443322110B",
|
||||
"000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F",
|
||||
"",
|
||||
"FE80690BEE8A485D11F32965BC9D2A32"},
|
||||
{"BBAA9988776655443322110C",
|
||||
"",
|
||||
"000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F",
|
||||
"2942BFC773BDA23CABC6ACFD9BFD5835BD300F0973792EF46040C53F1432BCDFB5E1DDE3BC18A5F840B52E653444D5DF"},
|
||||
{"BBAA9988776655443322110D",
|
||||
"000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F2021222324252627",
|
||||
"000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F2021222324252627",
|
||||
"D5CA91748410C1751FF8A2F618255B68A0A12E093FF454606E59F9C1D0DDC54B65E8628E568BAD7AED07BA06A4A69483A7035490C5769E60"},
|
||||
{"BBAA9988776655443322110E",
|
||||
"000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F2021222324252627",
|
||||
"",
|
||||
"C5CD9D1850C141E358649994EE701B68"},
|
||||
{"BBAA9988776655443322110F",
|
||||
"",
|
||||
"000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F2021222324252627",
|
||||
"4412923493C57D5DE0D700F753CCE0D1D2D95060122E9F15A5DDBFC5787E50B5CC55EE507BCB084E479AD363AC366B95A98CA5F3000B1479"},
|
||||
}
|
||||
24
vendor/github.com/ProtonMail/go-crypto/ocb/rfc7253_test_vectors_suite_b.go
generated
vendored
24
vendor/github.com/ProtonMail/go-crypto/ocb/rfc7253_test_vectors_suite_b.go
generated
vendored
@ -1,24 +0,0 @@
|
||||
package ocb
|
||||
|
||||
// Second set of test vectors from https://tools.ietf.org/html/rfc7253
|
||||
var rfc7253TestVectorTaglen96 = struct {
|
||||
key, nonce, header, plaintext, ciphertext string
|
||||
}{"0F0E0D0C0B0A09080706050403020100",
|
||||
"BBAA9988776655443322110D",
|
||||
"000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F2021222324252627",
|
||||
"000102030405060708090A0B0C0D0E0F101112131415161718191A1B1C1D1E1F2021222324252627",
|
||||
"1792A4E31E0755FB03E31B22116E6C2DDF9EFD6E33D536F1A0124B0A55BAE884ED93481529C76B6AD0C515F4D1CDD4FDAC4F02AA"}
|
||||
|
||||
var rfc7253AlgorithmTest = []struct {
|
||||
KEYLEN, TAGLEN int
|
||||
OUTPUT string }{
|
||||
{128, 128, "67E944D23256C5E0B6C61FA22FDF1EA2"},
|
||||
{192, 128, "F673F2C3E7174AAE7BAE986CA9F29E17"},
|
||||
{256, 128, "D90EB8E9C977C88B79DD793D7FFA161C"},
|
||||
{128, 96, "77A3D8E73589158D25D01209"},
|
||||
{192, 96, "05D56EAD2752C86BE6932C5E"},
|
||||
{256, 96, "5458359AC23B0CBA9E6330DD"},
|
||||
{128, 64, "192C9B7BD90BA06A"},
|
||||
{192, 64, "0066BC6E0EF34E24"},
|
||||
{256, 64, "7D4EA5D445501CBE"},
|
||||
}
|
||||
153
vendor/github.com/ProtonMail/go-crypto/openpgp/aes/keywrap/keywrap.go
generated
vendored
153
vendor/github.com/ProtonMail/go-crypto/openpgp/aes/keywrap/keywrap.go
generated
vendored
@ -1,153 +0,0 @@
|
||||
// Copyright 2014 Matthew Endsley
|
||||
// All rights reserved
|
||||
//
|
||||
// Redistribution and use in source and binary forms, with or without
|
||||
// modification, are permitted providing that the following conditions
|
||||
// are met:
|
||||
// 1. Redistributions of source code must retain the above copyright
|
||||
// notice, this list of conditions and the following disclaimer.
|
||||
// 2. Redistributions in binary form must reproduce the above copyright
|
||||
// notice, this list of conditions and the following disclaimer in the
|
||||
// documentation and/or other materials provided with the distribution.
|
||||
//
|
||||
// THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
|
||||
// IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
|
||||
// WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
||||
// ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
|
||||
// DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
|
||||
// DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
|
||||
// OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
|
||||
// HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
|
||||
// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING
|
||||
// IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
||||
// POSSIBILITY OF SUCH DAMAGE.
|
||||
|
||||
// Package keywrap is an implementation of the RFC 3394 AES key wrapping
|
||||
// algorithm. This is used in OpenPGP with elliptic curve keys.
|
||||
package keywrap
|
||||
|
||||
import (
|
||||
"crypto/aes"
|
||||
"encoding/binary"
|
||||
"errors"
|
||||
)
|
||||
|
||||
var (
|
||||
// ErrWrapPlaintext is returned if the plaintext is not a multiple
|
||||
// of 64 bits.
|
||||
ErrWrapPlaintext = errors.New("keywrap: plainText must be a multiple of 64 bits")
|
||||
|
||||
// ErrUnwrapCiphertext is returned if the ciphertext is not a
|
||||
// multiple of 64 bits.
|
||||
ErrUnwrapCiphertext = errors.New("keywrap: cipherText must by a multiple of 64 bits")
|
||||
|
||||
// ErrUnwrapFailed is returned if unwrapping a key fails.
|
||||
ErrUnwrapFailed = errors.New("keywrap: failed to unwrap key")
|
||||
|
||||
// NB: the AES NewCipher call only fails if the key is an invalid length.
|
||||
|
||||
// ErrInvalidKey is returned when the AES key is invalid.
|
||||
ErrInvalidKey = errors.New("keywrap: invalid AES key")
|
||||
)
|
||||
|
||||
// Wrap a key using the RFC 3394 AES Key Wrap Algorithm.
|
||||
func Wrap(key, plainText []byte) ([]byte, error) {
|
||||
if len(plainText)%8 != 0 {
|
||||
return nil, ErrWrapPlaintext
|
||||
}
|
||||
|
||||
c, err := aes.NewCipher(key)
|
||||
if err != nil {
|
||||
return nil, ErrInvalidKey
|
||||
}
|
||||
|
||||
nblocks := len(plainText) / 8
|
||||
|
||||
// 1) Initialize variables.
|
||||
var block [aes.BlockSize]byte
|
||||
// - Set A = IV, an initial value (see 2.2.3)
|
||||
for ii := 0; ii < 8; ii++ {
|
||||
block[ii] = 0xA6
|
||||
}
|
||||
|
||||
// - For i = 1 to n
|
||||
// - Set R[i] = P[i]
|
||||
intermediate := make([]byte, len(plainText))
|
||||
copy(intermediate, plainText)
|
||||
|
||||
// 2) Calculate intermediate values.
|
||||
for ii := 0; ii < 6; ii++ {
|
||||
for jj := 0; jj < nblocks; jj++ {
|
||||
// - B = AES(K, A | R[i])
|
||||
copy(block[8:], intermediate[jj*8:jj*8+8])
|
||||
c.Encrypt(block[:], block[:])
|
||||
|
||||
// - A = MSB(64, B) ^ t where t = (n*j)+1
|
||||
t := uint64(ii*nblocks + jj + 1)
|
||||
val := binary.BigEndian.Uint64(block[:8]) ^ t
|
||||
binary.BigEndian.PutUint64(block[:8], val)
|
||||
|
||||
// - R[i] = LSB(64, B)
|
||||
copy(intermediate[jj*8:jj*8+8], block[8:])
|
||||
}
|
||||
}
|
||||
|
||||
// 3) Output results.
|
||||
// - Set C[0] = A
|
||||
// - For i = 1 to n
|
||||
// - C[i] = R[i]
|
||||
return append(block[:8], intermediate...), nil
|
||||
}
|
||||
|
||||
// Unwrap a key using the RFC 3394 AES Key Wrap Algorithm.
|
||||
func Unwrap(key, cipherText []byte) ([]byte, error) {
|
||||
if len(cipherText)%8 != 0 {
|
||||
return nil, ErrUnwrapCiphertext
|
||||
}
|
||||
|
||||
c, err := aes.NewCipher(key)
|
||||
if err != nil {
|
||||
return nil, ErrInvalidKey
|
||||
}
|
||||
|
||||
nblocks := len(cipherText)/8 - 1
|
||||
|
||||
// 1) Initialize variables.
|
||||
var block [aes.BlockSize]byte
|
||||
// - Set A = C[0]
|
||||
copy(block[:8], cipherText[:8])
|
||||
|
||||
// - For i = 1 to n
|
||||
// - Set R[i] = C[i]
|
||||
intermediate := make([]byte, len(cipherText)-8)
|
||||
copy(intermediate, cipherText[8:])
|
||||
|
||||
// 2) Compute intermediate values.
|
||||
for jj := 5; jj >= 0; jj-- {
|
||||
for ii := nblocks - 1; ii >= 0; ii-- {
|
||||
// - B = AES-1(K, (A ^ t) | R[i]) where t = n*j+1
|
||||
// - A = MSB(64, B)
|
||||
t := uint64(jj*nblocks + ii + 1)
|
||||
val := binary.BigEndian.Uint64(block[:8]) ^ t
|
||||
binary.BigEndian.PutUint64(block[:8], val)
|
||||
|
||||
copy(block[8:], intermediate[ii*8:ii*8+8])
|
||||
c.Decrypt(block[:], block[:])
|
||||
|
||||
// - R[i] = LSB(B, 64)
|
||||
copy(intermediate[ii*8:ii*8+8], block[8:])
|
||||
}
|
||||
}
|
||||
|
||||
// 3) Output results.
|
||||
// - If A is an appropriate initial value (see 2.2.3),
|
||||
for ii := 0; ii < 8; ii++ {
|
||||
if block[ii] != 0xA6 {
|
||||
return nil, ErrUnwrapFailed
|
||||
}
|
||||
}
|
||||
|
||||
// - For i = 1 to n
|
||||
// - P[i] = R[i]
|
||||
return intermediate, nil
|
||||
}
|
||||
206
vendor/github.com/ProtonMail/go-crypto/openpgp/ecdh/ecdh.go
generated
vendored
206
vendor/github.com/ProtonMail/go-crypto/openpgp/ecdh/ecdh.go
generated
vendored
@ -1,206 +0,0 @@
|
||||
// Copyright 2017 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
// Package ecdh implements ECDH encryption, suitable for OpenPGP,
|
||||
// as specified in RFC 6637, section 8.
|
||||
package ecdh
|
||||
|
||||
import (
|
||||
"bytes"
|
||||
"errors"
|
||||
"io"
|
||||
|
||||
"github.com/ProtonMail/go-crypto/openpgp/aes/keywrap"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/internal/algorithm"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/internal/ecc"
|
||||
)
|
||||
|
||||
type KDF struct {
|
||||
Hash algorithm.Hash
|
||||
Cipher algorithm.Cipher
|
||||
}
|
||||
|
||||
type PublicKey struct {
|
||||
curve ecc.ECDHCurve
|
||||
Point []byte
|
||||
KDF
|
||||
}
|
||||
|
||||
type PrivateKey struct {
|
||||
PublicKey
|
||||
D []byte
|
||||
}
|
||||
|
||||
func NewPublicKey(curve ecc.ECDHCurve, kdfHash algorithm.Hash, kdfCipher algorithm.Cipher) *PublicKey {
|
||||
return &PublicKey{
|
||||
curve: curve,
|
||||
KDF: KDF{
|
||||
Hash: kdfHash,
|
||||
Cipher: kdfCipher,
|
||||
},
|
||||
}
|
||||
}
|
||||
|
||||
func NewPrivateKey(key PublicKey) *PrivateKey {
|
||||
return &PrivateKey{
|
||||
PublicKey: key,
|
||||
}
|
||||
}
|
||||
|
||||
func (pk *PublicKey) GetCurve() ecc.ECDHCurve {
|
||||
return pk.curve
|
||||
}
|
||||
|
||||
func (pk *PublicKey) MarshalPoint() []byte {
|
||||
return pk.curve.MarshalBytePoint(pk.Point)
|
||||
}
|
||||
|
||||
func (pk *PublicKey) UnmarshalPoint(p []byte) error {
|
||||
pk.Point = pk.curve.UnmarshalBytePoint(p)
|
||||
if pk.Point == nil {
|
||||
return errors.New("ecdh: failed to parse EC point")
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
func (sk *PrivateKey) MarshalByteSecret() []byte {
|
||||
return sk.curve.MarshalByteSecret(sk.D)
|
||||
}
|
||||
|
||||
func (sk *PrivateKey) UnmarshalByteSecret(d []byte) error {
|
||||
sk.D = sk.curve.UnmarshalByteSecret(d)
|
||||
|
||||
if sk.D == nil {
|
||||
return errors.New("ecdh: failed to parse scalar")
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
func GenerateKey(rand io.Reader, c ecc.ECDHCurve, kdf KDF) (priv *PrivateKey, err error) {
|
||||
priv = new(PrivateKey)
|
||||
priv.PublicKey.curve = c
|
||||
priv.PublicKey.KDF = kdf
|
||||
priv.PublicKey.Point, priv.D, err = c.GenerateECDH(rand)
|
||||
return
|
||||
}
|
||||
|
||||
func Encrypt(random io.Reader, pub *PublicKey, msg, curveOID, fingerprint []byte) (vsG, c []byte, err error) {
|
||||
if len(msg) > 40 {
|
||||
return nil, nil, errors.New("ecdh: message too long")
|
||||
}
|
||||
// the sender MAY use 21, 13, and 5 bytes of padding for AES-128,
|
||||
// AES-192, and AES-256, respectively, to provide the same number of
|
||||
// octets, 40 total, as an input to the key wrapping method.
|
||||
padding := make([]byte, 40-len(msg))
|
||||
for i := range padding {
|
||||
padding[i] = byte(40 - len(msg))
|
||||
}
|
||||
m := append(msg, padding...)
|
||||
|
||||
ephemeral, zb, err := pub.curve.Encaps(random, pub.Point)
|
||||
if err != nil {
|
||||
return nil, nil, err
|
||||
}
|
||||
|
||||
vsG = pub.curve.MarshalBytePoint(ephemeral)
|
||||
|
||||
z, err := buildKey(pub, zb, curveOID, fingerprint, false, false)
|
||||
if err != nil {
|
||||
return nil, nil, err
|
||||
}
|
||||
|
||||
if c, err = keywrap.Wrap(z, m); err != nil {
|
||||
return nil, nil, err
|
||||
}
|
||||
|
||||
return vsG, c, nil
|
||||
|
||||
}
|
||||
|
||||
func Decrypt(priv *PrivateKey, vsG, c, curveOID, fingerprint []byte) (msg []byte, err error) {
|
||||
var m []byte
|
||||
zb, err := priv.PublicKey.curve.Decaps(priv.curve.UnmarshalBytePoint(vsG), priv.D)
|
||||
|
||||
// Try buildKey three times to workaround an old bug, see comments in buildKey.
|
||||
for i := 0; i < 3; i++ {
|
||||
var z []byte
|
||||
// RFC6637 §8: "Compute Z = KDF( S, Z_len, Param );"
|
||||
z, err = buildKey(&priv.PublicKey, zb, curveOID, fingerprint, i == 1, i == 2)
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
|
||||
// RFC6637 §8: "Compute C = AESKeyWrap( Z, c ) as per [RFC3394]"
|
||||
m, err = keywrap.Unwrap(z, c)
|
||||
if err == nil {
|
||||
break
|
||||
}
|
||||
}
|
||||
|
||||
// Only return an error after we've tried all (required) variants of buildKey.
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
|
||||
// RFC6637 §8: "m = symm_alg_ID || session key || checksum || pkcs5_padding"
|
||||
// The last byte should be the length of the padding, as per PKCS5; strip it off.
|
||||
return m[:len(m)-int(m[len(m)-1])], nil
|
||||
}
|
||||
|
||||
func buildKey(pub *PublicKey, zb []byte, curveOID, fingerprint []byte, stripLeading, stripTrailing bool) ([]byte, error) {
|
||||
// Param = curve_OID_len || curve_OID || public_key_alg_ID || 03
|
||||
// || 01 || KDF_hash_ID || KEK_alg_ID for AESKeyWrap
|
||||
// || "Anonymous Sender " || recipient_fingerprint;
|
||||
param := new(bytes.Buffer)
|
||||
if _, err := param.Write(curveOID); err != nil {
|
||||
return nil, err
|
||||
}
|
||||
algKDF := []byte{18, 3, 1, pub.KDF.Hash.Id(), pub.KDF.Cipher.Id()}
|
||||
if _, err := param.Write(algKDF); err != nil {
|
||||
return nil, err
|
||||
}
|
||||
if _, err := param.Write([]byte("Anonymous Sender ")); err != nil {
|
||||
return nil, err
|
||||
}
|
||||
// For v5 keys, the 20 leftmost octets of the fingerprint are used.
|
||||
if _, err := param.Write(fingerprint[:20]); err != nil {
|
||||
return nil, err
|
||||
}
|
||||
if param.Len() - len(curveOID) != 45 {
|
||||
return nil, errors.New("ecdh: malformed KDF Param")
|
||||
}
|
||||
|
||||
// MB = Hash ( 00 || 00 || 00 || 01 || ZB || Param );
|
||||
h := pub.KDF.Hash.New()
|
||||
if _, err := h.Write([]byte{0x0, 0x0, 0x0, 0x1}); err != nil {
|
||||
return nil, err
|
||||
}
|
||||
zbLen := len(zb)
|
||||
i := 0
|
||||
j := zbLen - 1
|
||||
if stripLeading {
|
||||
// Work around old go crypto bug where the leading zeros are missing.
|
||||
for ; i < zbLen && zb[i] == 0; i++ {}
|
||||
}
|
||||
if stripTrailing {
|
||||
// Work around old OpenPGP.js bug where insignificant trailing zeros in
|
||||
// this little-endian number are missing.
|
||||
// (See https://github.com/openpgpjs/openpgpjs/pull/853.)
|
||||
for ; j >= 0 && zb[j] == 0; j-- {}
|
||||
}
|
||||
if _, err := h.Write(zb[i:j+1]); err != nil {
|
||||
return nil, err
|
||||
}
|
||||
if _, err := h.Write(param.Bytes()); err != nil {
|
||||
return nil, err
|
||||
}
|
||||
mb := h.Sum(nil)
|
||||
|
||||
return mb[:pub.KDF.Cipher.KeySize()], nil // return oBits leftmost bits of MB.
|
||||
|
||||
}
|
||||
|
||||
func Validate(priv *PrivateKey) error {
|
||||
return priv.curve.ValidateECDH(priv.Point, priv.D)
|
||||
}
|
||||
80
vendor/github.com/ProtonMail/go-crypto/openpgp/ecdsa/ecdsa.go
generated
vendored
80
vendor/github.com/ProtonMail/go-crypto/openpgp/ecdsa/ecdsa.go
generated
vendored
@ -1,80 +0,0 @@
|
||||
// Package ecdsa implements ECDSA signature, suitable for OpenPGP,
|
||||
// as specified in RFC 6637, section 5.
|
||||
package ecdsa
|
||||
|
||||
import (
|
||||
"errors"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/internal/ecc"
|
||||
"io"
|
||||
"math/big"
|
||||
)
|
||||
|
||||
type PublicKey struct {
|
||||
X, Y *big.Int
|
||||
curve ecc.ECDSACurve
|
||||
}
|
||||
|
||||
type PrivateKey struct {
|
||||
PublicKey
|
||||
D *big.Int
|
||||
}
|
||||
|
||||
func NewPublicKey(curve ecc.ECDSACurve) *PublicKey {
|
||||
return &PublicKey{
|
||||
curve: curve,
|
||||
}
|
||||
}
|
||||
|
||||
func NewPrivateKey(key PublicKey) *PrivateKey {
|
||||
return &PrivateKey{
|
||||
PublicKey: key,
|
||||
}
|
||||
}
|
||||
|
||||
func (pk *PublicKey) GetCurve() ecc.ECDSACurve {
|
||||
return pk.curve
|
||||
}
|
||||
|
||||
func (pk *PublicKey) MarshalPoint() []byte {
|
||||
return pk.curve.MarshalIntegerPoint(pk.X, pk.Y)
|
||||
}
|
||||
|
||||
func (pk *PublicKey) UnmarshalPoint(p []byte) error {
|
||||
pk.X, pk.Y = pk.curve.UnmarshalIntegerPoint(p)
|
||||
if pk.X == nil {
|
||||
return errors.New("ecdsa: failed to parse EC point")
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
func (sk *PrivateKey) MarshalIntegerSecret() []byte {
|
||||
return sk.curve.MarshalIntegerSecret(sk.D)
|
||||
}
|
||||
|
||||
func (sk *PrivateKey) UnmarshalIntegerSecret(d []byte) error {
|
||||
sk.D = sk.curve.UnmarshalIntegerSecret(d)
|
||||
|
||||
if sk.D == nil {
|
||||
return errors.New("ecdsa: failed to parse scalar")
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
func GenerateKey(rand io.Reader, c ecc.ECDSACurve) (priv *PrivateKey, err error) {
|
||||
priv = new(PrivateKey)
|
||||
priv.PublicKey.curve = c
|
||||
priv.PublicKey.X, priv.PublicKey.Y, priv.D, err = c.GenerateECDSA(rand)
|
||||
return
|
||||
}
|
||||
|
||||
func Sign(rand io.Reader, priv *PrivateKey, hash []byte) (r, s *big.Int, err error) {
|
||||
return priv.PublicKey.curve.Sign(rand, priv.X, priv.Y, priv.D, hash)
|
||||
}
|
||||
|
||||
func Verify(pub *PublicKey, hash []byte, r, s *big.Int) bool {
|
||||
return pub.curve.Verify(pub.X, pub.Y, hash, r, s)
|
||||
}
|
||||
|
||||
func Validate(priv *PrivateKey) error {
|
||||
return priv.curve.ValidateECDSA(priv.X, priv.Y, priv.D.Bytes())
|
||||
}
|
||||
91
vendor/github.com/ProtonMail/go-crypto/openpgp/eddsa/eddsa.go
generated
vendored
91
vendor/github.com/ProtonMail/go-crypto/openpgp/eddsa/eddsa.go
generated
vendored
@ -1,91 +0,0 @@
|
||||
// Package eddsa implements EdDSA signature, suitable for OpenPGP, as specified in
|
||||
// https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-13.7
|
||||
package eddsa
|
||||
|
||||
import (
|
||||
"errors"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/internal/ecc"
|
||||
"io"
|
||||
)
|
||||
|
||||
type PublicKey struct {
|
||||
X []byte
|
||||
curve ecc.EdDSACurve
|
||||
}
|
||||
|
||||
type PrivateKey struct {
|
||||
PublicKey
|
||||
D []byte
|
||||
}
|
||||
|
||||
func NewPublicKey(curve ecc.EdDSACurve) *PublicKey {
|
||||
return &PublicKey{
|
||||
curve: curve,
|
||||
}
|
||||
}
|
||||
|
||||
func NewPrivateKey(key PublicKey) *PrivateKey {
|
||||
return &PrivateKey{
|
||||
PublicKey: key,
|
||||
}
|
||||
}
|
||||
|
||||
func (pk *PublicKey) GetCurve() ecc.EdDSACurve {
|
||||
return pk.curve
|
||||
}
|
||||
|
||||
func (pk *PublicKey) MarshalPoint() []byte {
|
||||
return pk.curve.MarshalBytePoint(pk.X)
|
||||
}
|
||||
|
||||
func (pk *PublicKey) UnmarshalPoint(x []byte) error {
|
||||
pk.X = pk.curve.UnmarshalBytePoint(x)
|
||||
|
||||
if pk.X == nil {
|
||||
return errors.New("eddsa: failed to parse EC point")
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
func (sk *PrivateKey) MarshalByteSecret() []byte {
|
||||
return sk.curve.MarshalByteSecret(sk.D)
|
||||
}
|
||||
|
||||
func (sk *PrivateKey) UnmarshalByteSecret(d []byte) error {
|
||||
sk.D = sk.curve.UnmarshalByteSecret(d)
|
||||
|
||||
if sk.D == nil {
|
||||
return errors.New("eddsa: failed to parse scalar")
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
func GenerateKey(rand io.Reader, c ecc.EdDSACurve) (priv *PrivateKey, err error) {
|
||||
priv = new(PrivateKey)
|
||||
priv.PublicKey.curve = c
|
||||
priv.PublicKey.X, priv.D, err = c.GenerateEdDSA(rand)
|
||||
return
|
||||
}
|
||||
|
||||
func Sign(priv *PrivateKey, message []byte) (r, s []byte, err error) {
|
||||
sig, err := priv.PublicKey.curve.Sign(priv.PublicKey.X, priv.D, message)
|
||||
if err != nil {
|
||||
return nil, nil, err
|
||||
}
|
||||
|
||||
r, s = priv.PublicKey.curve.MarshalSignature(sig)
|
||||
return
|
||||
}
|
||||
|
||||
func Verify(pub *PublicKey, message, r, s []byte) bool {
|
||||
sig := pub.curve.UnmarshalSignature(r, s)
|
||||
if sig == nil {
|
||||
return false
|
||||
}
|
||||
|
||||
return pub.curve.Verify(pub.X, message, sig)
|
||||
}
|
||||
|
||||
func Validate(priv *PrivateKey) error {
|
||||
return priv.curve.ValidateEdDSA(priv.PublicKey.X, priv.D)
|
||||
}
|
||||
65
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/aead.go
generated
vendored
65
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/aead.go
generated
vendored
@ -1,65 +0,0 @@
|
||||
// Copyright (C) 2019 ProtonTech AG
|
||||
|
||||
package algorithm
|
||||
|
||||
import (
|
||||
"crypto/cipher"
|
||||
"github.com/ProtonMail/go-crypto/eax"
|
||||
"github.com/ProtonMail/go-crypto/ocb"
|
||||
)
|
||||
|
||||
// AEADMode defines the Authenticated Encryption with Associated Data mode of
|
||||
// operation.
|
||||
type AEADMode uint8
|
||||
|
||||
// Supported modes of operation (see RFC4880bis [EAX] and RFC7253)
|
||||
const (
|
||||
AEADModeEAX = AEADMode(1)
|
||||
AEADModeOCB = AEADMode(2)
|
||||
AEADModeGCM = AEADMode(3)
|
||||
)
|
||||
|
||||
// TagLength returns the length in bytes of authentication tags.
|
||||
func (mode AEADMode) TagLength() int {
|
||||
switch mode {
|
||||
case AEADModeEAX:
|
||||
return 16
|
||||
case AEADModeOCB:
|
||||
return 16
|
||||
case AEADModeGCM:
|
||||
return 16
|
||||
default:
|
||||
return 0
|
||||
}
|
||||
}
|
||||
|
||||
// NonceLength returns the length in bytes of nonces.
|
||||
func (mode AEADMode) NonceLength() int {
|
||||
switch mode {
|
||||
case AEADModeEAX:
|
||||
return 16
|
||||
case AEADModeOCB:
|
||||
return 15
|
||||
case AEADModeGCM:
|
||||
return 12
|
||||
default:
|
||||
return 0
|
||||
}
|
||||
}
|
||||
|
||||
// New returns a fresh instance of the given mode
|
||||
func (mode AEADMode) New(block cipher.Block) (alg cipher.AEAD) {
|
||||
var err error
|
||||
switch mode {
|
||||
case AEADModeEAX:
|
||||
alg, err = eax.NewEAX(block)
|
||||
case AEADModeOCB:
|
||||
alg, err = ocb.NewOCB(block)
|
||||
case AEADModeGCM:
|
||||
alg, err = cipher.NewGCM(block)
|
||||
}
|
||||
if err != nil {
|
||||
panic(err.Error())
|
||||
}
|
||||
return alg
|
||||
}
|
||||
107
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/cipher.go
generated
vendored
107
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/cipher.go
generated
vendored
@ -1,107 +0,0 @@
|
||||
// Copyright 2017 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package algorithm
|
||||
|
||||
import (
|
||||
"crypto/aes"
|
||||
"crypto/cipher"
|
||||
"crypto/des"
|
||||
|
||||
"golang.org/x/crypto/cast5"
|
||||
)
|
||||
|
||||
// Cipher is an official symmetric key cipher algorithm. See RFC 4880,
|
||||
// section 9.2.
|
||||
type Cipher interface {
|
||||
// Id returns the algorithm ID, as a byte, of the cipher.
|
||||
Id() uint8
|
||||
// KeySize returns the key size, in bytes, of the cipher.
|
||||
KeySize() int
|
||||
// BlockSize returns the block size, in bytes, of the cipher.
|
||||
BlockSize() int
|
||||
// New returns a fresh instance of the given cipher.
|
||||
New(key []byte) cipher.Block
|
||||
}
|
||||
|
||||
// The following constants mirror the OpenPGP standard (RFC 4880).
|
||||
const (
|
||||
TripleDES = CipherFunction(2)
|
||||
CAST5 = CipherFunction(3)
|
||||
AES128 = CipherFunction(7)
|
||||
AES192 = CipherFunction(8)
|
||||
AES256 = CipherFunction(9)
|
||||
)
|
||||
|
||||
// CipherById represents the different block ciphers specified for OpenPGP. See
|
||||
// http://www.iana.org/assignments/pgp-parameters/pgp-parameters.xhtml#pgp-parameters-13
|
||||
var CipherById = map[uint8]Cipher{
|
||||
TripleDES.Id(): TripleDES,
|
||||
CAST5.Id(): CAST5,
|
||||
AES128.Id(): AES128,
|
||||
AES192.Id(): AES192,
|
||||
AES256.Id(): AES256,
|
||||
}
|
||||
|
||||
type CipherFunction uint8
|
||||
|
||||
// ID returns the algorithm Id, as a byte, of cipher.
|
||||
func (sk CipherFunction) Id() uint8 {
|
||||
return uint8(sk)
|
||||
}
|
||||
|
||||
var keySizeByID = map[uint8]int{
|
||||
TripleDES.Id(): 24,
|
||||
CAST5.Id(): cast5.KeySize,
|
||||
AES128.Id(): 16,
|
||||
AES192.Id(): 24,
|
||||
AES256.Id(): 32,
|
||||
}
|
||||
|
||||
// KeySize returns the key size, in bytes, of cipher.
|
||||
func (cipher CipherFunction) KeySize() int {
|
||||
switch cipher {
|
||||
case TripleDES:
|
||||
return 24
|
||||
case CAST5:
|
||||
return cast5.KeySize
|
||||
case AES128:
|
||||
return 16
|
||||
case AES192:
|
||||
return 24
|
||||
case AES256:
|
||||
return 32
|
||||
}
|
||||
return 0
|
||||
}
|
||||
|
||||
// BlockSize returns the block size, in bytes, of cipher.
|
||||
func (cipher CipherFunction) BlockSize() int {
|
||||
switch cipher {
|
||||
case TripleDES:
|
||||
return des.BlockSize
|
||||
case CAST5:
|
||||
return 8
|
||||
case AES128, AES192, AES256:
|
||||
return 16
|
||||
}
|
||||
return 0
|
||||
}
|
||||
|
||||
// New returns a fresh instance of the given cipher.
|
||||
func (cipher CipherFunction) New(key []byte) (block cipher.Block) {
|
||||
var err error
|
||||
switch cipher {
|
||||
case TripleDES:
|
||||
block, err = des.NewTripleDESCipher(key)
|
||||
case CAST5:
|
||||
block, err = cast5.NewCipher(key)
|
||||
case AES128, AES192, AES256:
|
||||
block, err = aes.NewCipher(key)
|
||||
}
|
||||
if err != nil {
|
||||
panic(err.Error())
|
||||
}
|
||||
return
|
||||
}
|
||||
143
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/hash.go
generated
vendored
143
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/algorithm/hash.go
generated
vendored
@ -1,143 +0,0 @@
|
||||
// Copyright 2017 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package algorithm
|
||||
|
||||
import (
|
||||
"crypto"
|
||||
"fmt"
|
||||
"hash"
|
||||
)
|
||||
|
||||
// Hash is an official hash function algorithm. See RFC 4880, section 9.4.
|
||||
type Hash interface {
|
||||
// Id returns the algorithm ID, as a byte, of Hash.
|
||||
Id() uint8
|
||||
// Available reports whether the given hash function is linked into the binary.
|
||||
Available() bool
|
||||
// HashFunc simply returns the value of h so that Hash implements SignerOpts.
|
||||
HashFunc() crypto.Hash
|
||||
// New returns a new hash.Hash calculating the given hash function. New
|
||||
// panics if the hash function is not linked into the binary.
|
||||
New() hash.Hash
|
||||
// Size returns the length, in bytes, of a digest resulting from the given
|
||||
// hash function. It doesn't require that the hash function in question be
|
||||
// linked into the program.
|
||||
Size() int
|
||||
// String is the name of the hash function corresponding to the given
|
||||
// OpenPGP hash id.
|
||||
String() string
|
||||
}
|
||||
|
||||
// The following vars mirror the crypto/Hash supported hash functions.
|
||||
var (
|
||||
SHA1 Hash = cryptoHash{2, crypto.SHA1}
|
||||
SHA256 Hash = cryptoHash{8, crypto.SHA256}
|
||||
SHA384 Hash = cryptoHash{9, crypto.SHA384}
|
||||
SHA512 Hash = cryptoHash{10, crypto.SHA512}
|
||||
SHA224 Hash = cryptoHash{11, crypto.SHA224}
|
||||
SHA3_256 Hash = cryptoHash{12, crypto.SHA3_256}
|
||||
SHA3_512 Hash = cryptoHash{14, crypto.SHA3_512}
|
||||
)
|
||||
|
||||
// HashById represents the different hash functions specified for OpenPGP. See
|
||||
// http://www.iana.org/assignments/pgp-parameters/pgp-parameters.xhtml#pgp-parameters-14
|
||||
var (
|
||||
HashById = map[uint8]Hash{
|
||||
SHA256.Id(): SHA256,
|
||||
SHA384.Id(): SHA384,
|
||||
SHA512.Id(): SHA512,
|
||||
SHA224.Id(): SHA224,
|
||||
SHA3_256.Id(): SHA3_256,
|
||||
SHA3_512.Id(): SHA3_512,
|
||||
}
|
||||
)
|
||||
|
||||
// cryptoHash contains pairs relating OpenPGP's hash identifier with
|
||||
// Go's crypto.Hash type. See RFC 4880, section 9.4.
|
||||
type cryptoHash struct {
|
||||
id uint8
|
||||
crypto.Hash
|
||||
}
|
||||
|
||||
// Id returns the algorithm ID, as a byte, of cryptoHash.
|
||||
func (h cryptoHash) Id() uint8 {
|
||||
return h.id
|
||||
}
|
||||
|
||||
var hashNames = map[uint8]string{
|
||||
SHA256.Id(): "SHA256",
|
||||
SHA384.Id(): "SHA384",
|
||||
SHA512.Id(): "SHA512",
|
||||
SHA224.Id(): "SHA224",
|
||||
SHA3_256.Id(): "SHA3-256",
|
||||
SHA3_512.Id(): "SHA3-512",
|
||||
}
|
||||
|
||||
func (h cryptoHash) String() string {
|
||||
s, ok := hashNames[h.id]
|
||||
if !ok {
|
||||
panic(fmt.Sprintf("Unsupported hash function %d", h.id))
|
||||
}
|
||||
return s
|
||||
}
|
||||
|
||||
// HashIdToHash returns a crypto.Hash which corresponds to the given OpenPGP
|
||||
// hash id.
|
||||
func HashIdToHash(id byte) (h crypto.Hash, ok bool) {
|
||||
if hash, ok := HashById[id]; ok {
|
||||
return hash.HashFunc(), true
|
||||
}
|
||||
return 0, false
|
||||
}
|
||||
|
||||
// HashIdToHashWithSha1 returns a crypto.Hash which corresponds to the given OpenPGP
|
||||
// hash id, allowing sha1.
|
||||
func HashIdToHashWithSha1(id byte) (h crypto.Hash, ok bool) {
|
||||
if hash, ok := HashById[id]; ok {
|
||||
return hash.HashFunc(), true
|
||||
}
|
||||
|
||||
if id == SHA1.Id() {
|
||||
return SHA1.HashFunc(), true
|
||||
}
|
||||
|
||||
return 0, false
|
||||
}
|
||||
|
||||
// HashIdToString returns the name of the hash function corresponding to the
|
||||
// given OpenPGP hash id.
|
||||
func HashIdToString(id byte) (name string, ok bool) {
|
||||
if hash, ok := HashById[id]; ok {
|
||||
return hash.String(), true
|
||||
}
|
||||
return "", false
|
||||
}
|
||||
|
||||
// HashToHashId returns an OpenPGP hash id which corresponds the given Hash.
|
||||
func HashToHashId(h crypto.Hash) (id byte, ok bool) {
|
||||
for id, hash := range HashById {
|
||||
if hash.HashFunc() == h {
|
||||
return id, true
|
||||
}
|
||||
}
|
||||
|
||||
return 0, false
|
||||
}
|
||||
|
||||
// HashToHashIdWithSha1 returns an OpenPGP hash id which corresponds the given Hash,
|
||||
// allowing instances of SHA1
|
||||
func HashToHashIdWithSha1(h crypto.Hash) (id byte, ok bool) {
|
||||
for id, hash := range HashById {
|
||||
if hash.HashFunc() == h {
|
||||
return id, true
|
||||
}
|
||||
}
|
||||
|
||||
if h == SHA1.HashFunc() {
|
||||
return SHA1.Id(), true
|
||||
}
|
||||
|
||||
return 0, false
|
||||
}
|
||||
171
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curve25519.go
generated
vendored
171
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curve25519.go
generated
vendored
@ -1,171 +0,0 @@
|
||||
// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA.
|
||||
package ecc
|
||||
|
||||
import (
|
||||
"crypto/subtle"
|
||||
"io"
|
||||
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
x25519lib "github.com/cloudflare/circl/dh/x25519"
|
||||
)
|
||||
|
||||
type curve25519 struct {}
|
||||
|
||||
func NewCurve25519() *curve25519 {
|
||||
return &curve25519{}
|
||||
}
|
||||
|
||||
func (c *curve25519) GetCurveName() string {
|
||||
return "curve25519"
|
||||
}
|
||||
|
||||
// MarshalBytePoint encodes the public point from native format, adding the prefix.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6
|
||||
func (c *curve25519) MarshalBytePoint(point [] byte) []byte {
|
||||
return append([]byte{0x40}, point...)
|
||||
}
|
||||
|
||||
// UnmarshalBytePoint decodes the public point to native format, removing the prefix.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6
|
||||
func (c *curve25519) UnmarshalBytePoint(point []byte) []byte {
|
||||
if len(point) != x25519lib.Size + 1 {
|
||||
return nil
|
||||
}
|
||||
|
||||
// Remove prefix
|
||||
return point[1:]
|
||||
}
|
||||
|
||||
// MarshalByteSecret encodes the secret scalar from native format.
|
||||
// Note that the EC secret scalar differs from the definition of public keys in
|
||||
// [Curve25519] in two ways: (1) the byte-ordering is big-endian, which is
|
||||
// more uniform with how big integers are represented in OpenPGP, and (2) the
|
||||
// leading zeros are truncated.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6.1.1
|
||||
// Note that leading zero bytes are stripped later when encoding as an MPI.
|
||||
func (c *curve25519) MarshalByteSecret(secret []byte) []byte {
|
||||
d := make([]byte, x25519lib.Size)
|
||||
copyReversed(d, secret)
|
||||
|
||||
// The following ensures that the private key is a number of the form
|
||||
// 2^{254} + 8 * [0, 2^{251}), in order to avoid the small subgroup of
|
||||
// the curve.
|
||||
//
|
||||
// This masking is done internally in the underlying lib and so is unnecessary
|
||||
// for security, but OpenPGP implementations require that private keys be
|
||||
// pre-masked.
|
||||
d[0] &= 127
|
||||
d[0] |= 64
|
||||
d[31] &= 248
|
||||
|
||||
return d
|
||||
}
|
||||
|
||||
// UnmarshalByteSecret decodes the secret scalar from native format.
|
||||
// Note that the EC secret scalar differs from the definition of public keys in
|
||||
// [Curve25519] in two ways: (1) the byte-ordering is big-endian, which is
|
||||
// more uniform with how big integers are represented in OpenPGP, and (2) the
|
||||
// leading zeros are truncated.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6.1.1
|
||||
func (c *curve25519) UnmarshalByteSecret(d []byte) []byte {
|
||||
if len(d) > x25519lib.Size {
|
||||
return nil
|
||||
}
|
||||
|
||||
// Ensure truncated leading bytes are re-added
|
||||
secret := make([]byte, x25519lib.Size)
|
||||
copyReversed(secret, d)
|
||||
|
||||
return secret
|
||||
}
|
||||
|
||||
// generateKeyPairBytes Generates a private-public key-pair.
|
||||
// 'priv' is a private key; a little-endian scalar belonging to the set
|
||||
// 2^{254} + 8 * [0, 2^{251}), in order to avoid the small subgroup of the
|
||||
// curve. 'pub' is simply 'priv' * G where G is the base point.
|
||||
// See https://cr.yp.to/ecdh.html and RFC7748, sec 5.
|
||||
func (c *curve25519) generateKeyPairBytes(rand io.Reader) (priv, pub x25519lib.Key, err error) {
|
||||
_, err = io.ReadFull(rand, priv[:])
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
x25519lib.KeyGen(&pub, &priv)
|
||||
return
|
||||
}
|
||||
|
||||
func (c *curve25519) GenerateECDH(rand io.Reader) (point []byte, secret []byte, err error) {
|
||||
priv, pub, err := c.generateKeyPairBytes(rand)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
return pub[:], priv[:], nil
|
||||
}
|
||||
|
||||
func (c *genericCurve) MaskSecret(secret []byte) []byte {
|
||||
return secret
|
||||
}
|
||||
|
||||
func (c *curve25519) Encaps(rand io.Reader, point []byte) (ephemeral, sharedSecret []byte, err error) {
|
||||
// RFC6637 §8: "Generate an ephemeral key pair {v, V=vG}"
|
||||
// ephemeralPrivate corresponds to `v`.
|
||||
// ephemeralPublic corresponds to `V`.
|
||||
ephemeralPrivate, ephemeralPublic, err := c.generateKeyPairBytes(rand)
|
||||
if err != nil {
|
||||
return nil, nil, err
|
||||
}
|
||||
|
||||
// RFC6637 §8: "Obtain the authenticated recipient public key R"
|
||||
// pubKey corresponds to `R`.
|
||||
var pubKey x25519lib.Key
|
||||
copy(pubKey[:], point)
|
||||
|
||||
// RFC6637 §8: "Compute the shared point S = vR"
|
||||
// "VB = convert point V to the octet string"
|
||||
// sharedPoint corresponds to `VB`.
|
||||
var sharedPoint x25519lib.Key
|
||||
x25519lib.Shared(&sharedPoint, &ephemeralPrivate, &pubKey)
|
||||
|
||||
return ephemeralPublic[:], sharedPoint[:], nil
|
||||
}
|
||||
|
||||
func (c *curve25519) Decaps(vsG, secret []byte) (sharedSecret []byte, err error) {
|
||||
var ephemeralPublic, decodedPrivate, sharedPoint x25519lib.Key
|
||||
// RFC6637 §8: "The decryption is the inverse of the method given."
|
||||
// All quoted descriptions in comments below describe encryption, and
|
||||
// the reverse is performed.
|
||||
// vsG corresponds to `VB` in RFC6637 §8 .
|
||||
|
||||
// RFC6637 §8: "VB = convert point V to the octet string"
|
||||
copy(ephemeralPublic[:], vsG)
|
||||
|
||||
// decodedPrivate corresponds to `r` in RFC6637 §8 .
|
||||
copy(decodedPrivate[:], secret)
|
||||
|
||||
// RFC6637 §8: "Note that the recipient obtains the shared secret by calculating
|
||||
// S = rV = rvG, where (r,R) is the recipient's key pair."
|
||||
// sharedPoint corresponds to `S`.
|
||||
x25519lib.Shared(&sharedPoint, &decodedPrivate, &ephemeralPublic)
|
||||
|
||||
return sharedPoint[:], nil
|
||||
}
|
||||
|
||||
func (c *curve25519) ValidateECDH(point []byte, secret []byte) (err error) {
|
||||
var pk, sk x25519lib.Key
|
||||
copy(sk[:], secret)
|
||||
x25519lib.KeyGen(&pk, &sk)
|
||||
|
||||
if subtle.ConstantTimeCompare(point, pk[:]) == 0 {
|
||||
return errors.KeyInvalidError("ecc: invalid curve25519 public point")
|
||||
}
|
||||
|
||||
return nil
|
||||
}
|
||||
|
||||
func copyReversed(out []byte, in []byte) {
|
||||
l := len(in)
|
||||
for i := 0; i < l; i++ {
|
||||
out[i] = in[l-i-1]
|
||||
}
|
||||
}
|
||||
140
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curve_info.go
generated
vendored
140
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curve_info.go
generated
vendored
@ -1,140 +0,0 @@
|
||||
// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA.
|
||||
package ecc
|
||||
|
||||
import (
|
||||
"bytes"
|
||||
"crypto/elliptic"
|
||||
"github.com/ProtonMail/go-crypto/bitcurves"
|
||||
"github.com/ProtonMail/go-crypto/brainpool"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/internal/encoding"
|
||||
)
|
||||
|
||||
type CurveInfo struct {
|
||||
GenName string
|
||||
Oid *encoding.OID
|
||||
Curve Curve
|
||||
}
|
||||
|
||||
var Curves = []CurveInfo{
|
||||
{
|
||||
// NIST P-256
|
||||
GenName: "P256",
|
||||
Oid: encoding.NewOID([]byte{0x2A, 0x86, 0x48, 0xCE, 0x3D, 0x03, 0x01, 0x07}),
|
||||
Curve: NewGenericCurve(elliptic.P256()),
|
||||
},
|
||||
{
|
||||
// NIST P-384
|
||||
GenName: "P384",
|
||||
Oid: encoding.NewOID([]byte{0x2B, 0x81, 0x04, 0x00, 0x22}),
|
||||
Curve: NewGenericCurve(elliptic.P384()),
|
||||
},
|
||||
{
|
||||
// NIST P-521
|
||||
GenName: "P521",
|
||||
Oid: encoding.NewOID([]byte{0x2B, 0x81, 0x04, 0x00, 0x23}),
|
||||
Curve: NewGenericCurve(elliptic.P521()),
|
||||
},
|
||||
{
|
||||
// SecP256k1
|
||||
GenName: "SecP256k1",
|
||||
Oid: encoding.NewOID([]byte{0x2B, 0x81, 0x04, 0x00, 0x0A}),
|
||||
Curve: NewGenericCurve(bitcurves.S256()),
|
||||
},
|
||||
{
|
||||
// Curve25519
|
||||
GenName: "Curve25519",
|
||||
Oid: encoding.NewOID([]byte{0x2B, 0x06, 0x01, 0x04, 0x01, 0x97, 0x55, 0x01, 0x05, 0x01}),
|
||||
Curve: NewCurve25519(),
|
||||
},
|
||||
{
|
||||
// X448
|
||||
GenName: "Curve448",
|
||||
Oid: encoding.NewOID([]byte{0x2B, 0x65, 0x6F}),
|
||||
Curve: NewX448(),
|
||||
},
|
||||
{
|
||||
// Ed25519
|
||||
GenName: "Curve25519",
|
||||
Oid: encoding.NewOID([]byte{0x2B, 0x06, 0x01, 0x04, 0x01, 0xDA, 0x47, 0x0F, 0x01}),
|
||||
Curve: NewEd25519(),
|
||||
},
|
||||
{
|
||||
// Ed448
|
||||
GenName: "Curve448",
|
||||
Oid: encoding.NewOID([]byte{0x2B, 0x65, 0x71}),
|
||||
Curve: NewEd448(),
|
||||
},
|
||||
{
|
||||
// BrainpoolP256r1
|
||||
GenName: "BrainpoolP256",
|
||||
Oid: encoding.NewOID([]byte{0x2B, 0x24, 0x03, 0x03, 0x02, 0x08, 0x01, 0x01, 0x07}),
|
||||
Curve: NewGenericCurve(brainpool.P256r1()),
|
||||
},
|
||||
{
|
||||
// BrainpoolP384r1
|
||||
GenName: "BrainpoolP384",
|
||||
Oid: encoding.NewOID([]byte{0x2B, 0x24, 0x03, 0x03, 0x02, 0x08, 0x01, 0x01, 0x0B}),
|
||||
Curve: NewGenericCurve(brainpool.P384r1()),
|
||||
},
|
||||
{
|
||||
// BrainpoolP512r1
|
||||
GenName: "BrainpoolP512",
|
||||
Oid: encoding.NewOID([]byte{0x2B, 0x24, 0x03, 0x03, 0x02, 0x08, 0x01, 0x01, 0x0D}),
|
||||
Curve: NewGenericCurve(brainpool.P512r1()),
|
||||
},
|
||||
}
|
||||
|
||||
func FindByCurve(curve Curve) *CurveInfo {
|
||||
for _, curveInfo := range Curves {
|
||||
if curveInfo.Curve.GetCurveName() == curve.GetCurveName() {
|
||||
return &curveInfo
|
||||
}
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
func FindByOid(oid encoding.Field) *CurveInfo {
|
||||
var rawBytes = oid.Bytes()
|
||||
for _, curveInfo := range Curves {
|
||||
if bytes.Equal(curveInfo.Oid.Bytes(), rawBytes) {
|
||||
return &curveInfo
|
||||
}
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
func FindEdDSAByGenName(curveGenName string) EdDSACurve {
|
||||
for _, curveInfo := range Curves {
|
||||
if curveInfo.GenName == curveGenName {
|
||||
curve, ok := curveInfo.Curve.(EdDSACurve)
|
||||
if ok {
|
||||
return curve
|
||||
}
|
||||
}
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
func FindECDSAByGenName(curveGenName string) ECDSACurve {
|
||||
for _, curveInfo := range Curves {
|
||||
if curveInfo.GenName == curveGenName {
|
||||
curve, ok := curveInfo.Curve.(ECDSACurve)
|
||||
if ok {
|
||||
return curve
|
||||
}
|
||||
}
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
func FindECDHByGenName(curveGenName string) ECDHCurve {
|
||||
for _, curveInfo := range Curves {
|
||||
if curveInfo.GenName == curveGenName {
|
||||
curve, ok := curveInfo.Curve.(ECDHCurve)
|
||||
if ok {
|
||||
return curve
|
||||
}
|
||||
}
|
||||
}
|
||||
return nil
|
||||
}
|
||||
48
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curves.go
generated
vendored
48
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/curves.go
generated
vendored
@ -1,48 +0,0 @@
|
||||
// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA.
|
||||
package ecc
|
||||
|
||||
import (
|
||||
"io"
|
||||
"math/big"
|
||||
)
|
||||
|
||||
type Curve interface {
|
||||
GetCurveName() string
|
||||
}
|
||||
|
||||
type ECDSACurve interface {
|
||||
Curve
|
||||
MarshalIntegerPoint(x, y *big.Int) []byte
|
||||
UnmarshalIntegerPoint([]byte) (x, y *big.Int)
|
||||
MarshalIntegerSecret(d *big.Int) []byte
|
||||
UnmarshalIntegerSecret(d []byte) *big.Int
|
||||
GenerateECDSA(rand io.Reader) (x, y, secret *big.Int, err error)
|
||||
Sign(rand io.Reader, x, y, d *big.Int, hash []byte) (r, s *big.Int, err error)
|
||||
Verify(x, y *big.Int, hash []byte, r, s *big.Int) bool
|
||||
ValidateECDSA(x, y *big.Int, secret []byte) error
|
||||
}
|
||||
|
||||
type EdDSACurve interface {
|
||||
Curve
|
||||
MarshalBytePoint(x []byte) []byte
|
||||
UnmarshalBytePoint([]byte) (x []byte)
|
||||
MarshalByteSecret(d []byte) []byte
|
||||
UnmarshalByteSecret(d []byte) []byte
|
||||
MarshalSignature(sig []byte) (r, s []byte)
|
||||
UnmarshalSignature(r, s []byte) (sig []byte)
|
||||
GenerateEdDSA(rand io.Reader) (pub, priv []byte, err error)
|
||||
Sign(publicKey, privateKey, message []byte) (sig []byte, err error)
|
||||
Verify(publicKey, message, sig []byte) bool
|
||||
ValidateEdDSA(publicKey, privateKey []byte) (err error)
|
||||
}
|
||||
type ECDHCurve interface {
|
||||
Curve
|
||||
MarshalBytePoint([]byte) (encoded []byte)
|
||||
UnmarshalBytePoint(encoded []byte) ([]byte)
|
||||
MarshalByteSecret(d []byte) []byte
|
||||
UnmarshalByteSecret(d []byte) []byte
|
||||
GenerateECDH(rand io.Reader) (point []byte, secret []byte, err error)
|
||||
Encaps(rand io.Reader, point []byte) (ephemeral, sharedSecret []byte, err error)
|
||||
Decaps(ephemeral, secret []byte) (sharedSecret []byte, err error)
|
||||
ValidateECDH(public []byte, secret []byte) error
|
||||
}
|
||||
111
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/ed25519.go
generated
vendored
111
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/ed25519.go
generated
vendored
@ -1,111 +0,0 @@
|
||||
// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA.
|
||||
package ecc
|
||||
|
||||
import (
|
||||
"crypto/subtle"
|
||||
"io"
|
||||
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
ed25519lib "github.com/cloudflare/circl/sign/ed25519"
|
||||
)
|
||||
|
||||
const ed25519Size = 32
|
||||
type ed25519 struct {}
|
||||
|
||||
func NewEd25519() *ed25519 {
|
||||
return &ed25519{}
|
||||
}
|
||||
|
||||
func (c *ed25519) GetCurveName() string {
|
||||
return "ed25519"
|
||||
}
|
||||
|
||||
// MarshalBytePoint encodes the public point from native format, adding the prefix.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5
|
||||
func (c *ed25519) MarshalBytePoint(x []byte) []byte {
|
||||
return append([]byte{0x40}, x...)
|
||||
}
|
||||
|
||||
// UnmarshalBytePoint decodes a point from prefixed format to native.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5
|
||||
func (c *ed25519) UnmarshalBytePoint(point []byte) (x []byte) {
|
||||
if len(point) != ed25519lib.PublicKeySize + 1 {
|
||||
return nil
|
||||
}
|
||||
|
||||
// Return unprefixed
|
||||
return point[1:]
|
||||
}
|
||||
|
||||
// MarshalByteSecret encodes a scalar in native format.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5
|
||||
func (c *ed25519) MarshalByteSecret(d []byte) []byte {
|
||||
return d
|
||||
}
|
||||
|
||||
// UnmarshalByteSecret decodes a scalar in native format and re-adds the stripped leading zeroes
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5
|
||||
func (c *ed25519) UnmarshalByteSecret(s []byte) (d []byte) {
|
||||
if len(s) > ed25519lib.SeedSize {
|
||||
return nil
|
||||
}
|
||||
|
||||
// Handle stripped leading zeroes
|
||||
d = make([]byte, ed25519lib.SeedSize)
|
||||
copy(d[ed25519lib.SeedSize - len(s):], s)
|
||||
return
|
||||
}
|
||||
|
||||
// MarshalSignature splits a signature in R and S.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.2.3.3.1
|
||||
func (c *ed25519) MarshalSignature(sig []byte) (r, s []byte) {
|
||||
return sig[:ed25519Size], sig[ed25519Size:]
|
||||
}
|
||||
|
||||
// UnmarshalSignature decodes R and S in the native format, re-adding the stripped leading zeroes
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.2.3.3.1
|
||||
func (c *ed25519) UnmarshalSignature(r, s []byte) (sig []byte) {
|
||||
// Check size
|
||||
if len(r) > 32 || len(s) > 32 {
|
||||
return nil
|
||||
}
|
||||
|
||||
sig = make([]byte, ed25519lib.SignatureSize)
|
||||
|
||||
// Handle stripped leading zeroes
|
||||
copy(sig[ed25519Size-len(r):ed25519Size], r)
|
||||
copy(sig[ed25519lib.SignatureSize-len(s):], s)
|
||||
return sig
|
||||
}
|
||||
|
||||
func (c *ed25519) GenerateEdDSA(rand io.Reader) (pub, priv []byte, err error) {
|
||||
pk, sk, err := ed25519lib.GenerateKey(rand)
|
||||
|
||||
if err != nil {
|
||||
return nil, nil, err
|
||||
}
|
||||
|
||||
return pk, sk[:ed25519lib.SeedSize], nil
|
||||
}
|
||||
|
||||
func getEd25519Sk(publicKey, privateKey []byte) ed25519lib.PrivateKey {
|
||||
return append(privateKey, publicKey...)
|
||||
}
|
||||
|
||||
func (c *ed25519) Sign(publicKey, privateKey, message []byte) (sig []byte, err error) {
|
||||
sig = ed25519lib.Sign(getEd25519Sk(publicKey, privateKey), message)
|
||||
return sig, nil
|
||||
}
|
||||
|
||||
func (c *ed25519) Verify(publicKey, message, sig []byte) bool {
|
||||
return ed25519lib.Verify(publicKey, message, sig)
|
||||
}
|
||||
|
||||
func (c *ed25519) ValidateEdDSA(publicKey, privateKey []byte) (err error) {
|
||||
priv := getEd25519Sk(publicKey, privateKey)
|
||||
expectedPriv := ed25519lib.NewKeyFromSeed(priv.Seed())
|
||||
if subtle.ConstantTimeCompare(priv, expectedPriv) == 0 {
|
||||
return errors.KeyInvalidError("ecc: invalid ed25519 secret")
|
||||
}
|
||||
return nil
|
||||
}
|
||||
111
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/ed448.go
generated
vendored
111
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/ed448.go
generated
vendored
@ -1,111 +0,0 @@
|
||||
// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA.
|
||||
package ecc
|
||||
|
||||
import (
|
||||
"crypto/subtle"
|
||||
"io"
|
||||
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
ed448lib "github.com/cloudflare/circl/sign/ed448"
|
||||
)
|
||||
|
||||
type ed448 struct {}
|
||||
|
||||
func NewEd448() *ed448 {
|
||||
return &ed448{}
|
||||
}
|
||||
|
||||
func (c *ed448) GetCurveName() string {
|
||||
return "ed448"
|
||||
}
|
||||
|
||||
// MarshalBytePoint encodes the public point from native format, adding the prefix.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5
|
||||
func (c *ed448) MarshalBytePoint(x []byte) []byte {
|
||||
// Return prefixed
|
||||
return append([]byte{0x40}, x...)
|
||||
}
|
||||
|
||||
// UnmarshalBytePoint decodes a point from prefixed format to native.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5
|
||||
func (c *ed448) UnmarshalBytePoint(point []byte) (x []byte) {
|
||||
if len(point) != ed448lib.PublicKeySize + 1 {
|
||||
return nil
|
||||
}
|
||||
|
||||
// Strip prefix
|
||||
return point[1:]
|
||||
}
|
||||
|
||||
// MarshalByteSecret encoded a scalar from native format to prefixed.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5
|
||||
func (c *ed448) MarshalByteSecret(d []byte) []byte {
|
||||
// Return prefixed
|
||||
return append([]byte{0x40}, d...)
|
||||
}
|
||||
|
||||
// UnmarshalByteSecret decodes a scalar from prefixed format to native.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.5
|
||||
func (c *ed448) UnmarshalByteSecret(s []byte) (d []byte) {
|
||||
// Check prefixed size
|
||||
if len(s) != ed448lib.SeedSize + 1 {
|
||||
return nil
|
||||
}
|
||||
|
||||
// Strip prefix
|
||||
return s[1:]
|
||||
}
|
||||
|
||||
// MarshalSignature splits a signature in R and S, where R is in prefixed native format and
|
||||
// S is an MPI with value zero.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.2.3.3.2
|
||||
func (c *ed448) MarshalSignature(sig []byte) (r, s []byte) {
|
||||
return append([]byte{0x40}, sig...), []byte{}
|
||||
}
|
||||
|
||||
// UnmarshalSignature decodes R and S in the native format. Only R is used, in prefixed native format.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.2.3.3.2
|
||||
func (c *ed448) UnmarshalSignature(r, s []byte) (sig []byte) {
|
||||
if len(r) != ed448lib.SignatureSize + 1 {
|
||||
return nil
|
||||
}
|
||||
|
||||
return r[1:]
|
||||
}
|
||||
|
||||
func (c *ed448) GenerateEdDSA(rand io.Reader) (pub, priv []byte, err error) {
|
||||
pk, sk, err := ed448lib.GenerateKey(rand)
|
||||
|
||||
if err != nil {
|
||||
return nil, nil, err
|
||||
}
|
||||
|
||||
return pk, sk[:ed448lib.SeedSize], nil
|
||||
}
|
||||
|
||||
func getEd448Sk(publicKey, privateKey []byte) ed448lib.PrivateKey {
|
||||
return append(privateKey, publicKey...)
|
||||
}
|
||||
|
||||
func (c *ed448) Sign(publicKey, privateKey, message []byte) (sig []byte, err error) {
|
||||
// Ed448 is used with the empty string as a context string.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-13.7
|
||||
sig = ed448lib.Sign(getEd448Sk(publicKey, privateKey), message, "")
|
||||
|
||||
return sig, nil
|
||||
}
|
||||
|
||||
func (c *ed448) Verify(publicKey, message, sig []byte) bool {
|
||||
// Ed448 is used with the empty string as a context string.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-13.7
|
||||
return ed448lib.Verify(publicKey, message, sig, "")
|
||||
}
|
||||
|
||||
func (c *ed448) ValidateEdDSA(publicKey, privateKey []byte) (err error) {
|
||||
priv := getEd448Sk(publicKey, privateKey)
|
||||
expectedPriv := ed448lib.NewKeyFromSeed(priv.Seed())
|
||||
if subtle.ConstantTimeCompare(priv, expectedPriv) == 0 {
|
||||
return errors.KeyInvalidError("ecc: invalid ed448 secret")
|
||||
}
|
||||
return nil
|
||||
}
|
||||
149
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/generic.go
generated
vendored
149
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/generic.go
generated
vendored
@ -1,149 +0,0 @@
|
||||
// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA.
|
||||
package ecc
|
||||
|
||||
import (
|
||||
"crypto/ecdsa"
|
||||
"crypto/elliptic"
|
||||
"fmt"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
"io"
|
||||
"math/big"
|
||||
)
|
||||
|
||||
type genericCurve struct {
|
||||
Curve elliptic.Curve
|
||||
}
|
||||
|
||||
func NewGenericCurve(c elliptic.Curve) *genericCurve {
|
||||
return &genericCurve{
|
||||
Curve: c,
|
||||
}
|
||||
}
|
||||
|
||||
func (c *genericCurve) GetCurveName() string {
|
||||
return c.Curve.Params().Name
|
||||
}
|
||||
|
||||
func (c *genericCurve) MarshalBytePoint(point []byte) []byte {
|
||||
return point
|
||||
}
|
||||
|
||||
func (c *genericCurve) UnmarshalBytePoint(point []byte) []byte {
|
||||
return point
|
||||
}
|
||||
|
||||
func (c *genericCurve) MarshalIntegerPoint(x, y *big.Int) []byte {
|
||||
return elliptic.Marshal(c.Curve, x, y)
|
||||
}
|
||||
|
||||
func (c *genericCurve) UnmarshalIntegerPoint(point []byte) (x, y *big.Int) {
|
||||
return elliptic.Unmarshal(c.Curve, point)
|
||||
}
|
||||
|
||||
func (c *genericCurve) MarshalByteSecret(d []byte) []byte {
|
||||
return d
|
||||
}
|
||||
|
||||
func (c *genericCurve) UnmarshalByteSecret(d []byte) []byte {
|
||||
return d
|
||||
}
|
||||
|
||||
func (c *genericCurve) MarshalIntegerSecret(d *big.Int) []byte {
|
||||
return d.Bytes()
|
||||
}
|
||||
|
||||
func (c *genericCurve) UnmarshalIntegerSecret(d []byte) *big.Int {
|
||||
return new(big.Int).SetBytes(d)
|
||||
}
|
||||
|
||||
func (c *genericCurve) GenerateECDH(rand io.Reader) (point, secret []byte, err error) {
|
||||
secret, x, y, err := elliptic.GenerateKey(c.Curve, rand)
|
||||
if err != nil {
|
||||
return nil, nil, err
|
||||
}
|
||||
|
||||
point = elliptic.Marshal(c.Curve, x, y)
|
||||
return point, secret, nil
|
||||
}
|
||||
|
||||
func (c *genericCurve) GenerateECDSA(rand io.Reader) (x, y, secret *big.Int, err error) {
|
||||
priv, err := ecdsa.GenerateKey(c.Curve, rand)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
return priv.X, priv.Y, priv.D, nil
|
||||
}
|
||||
|
||||
func (c *genericCurve) Encaps(rand io.Reader, point []byte) (ephemeral, sharedSecret []byte, err error) {
|
||||
xP, yP := elliptic.Unmarshal(c.Curve, point)
|
||||
if xP == nil {
|
||||
panic("invalid point")
|
||||
}
|
||||
|
||||
d, x, y, err := elliptic.GenerateKey(c.Curve, rand)
|
||||
if err != nil {
|
||||
return nil, nil, err
|
||||
}
|
||||
|
||||
vsG := elliptic.Marshal(c.Curve, x, y)
|
||||
zbBig, _ := c.Curve.ScalarMult(xP, yP, d)
|
||||
|
||||
byteLen := (c.Curve.Params().BitSize + 7) >> 3
|
||||
zb := make([]byte, byteLen)
|
||||
zbBytes := zbBig.Bytes()
|
||||
copy(zb[byteLen-len(zbBytes):], zbBytes)
|
||||
|
||||
return vsG, zb, nil
|
||||
}
|
||||
|
||||
func (c *genericCurve) Decaps(ephemeral, secret []byte) (sharedSecret []byte, err error) {
|
||||
x, y := elliptic.Unmarshal(c.Curve, ephemeral)
|
||||
zbBig, _ := c.Curve.ScalarMult(x, y, secret)
|
||||
byteLen := (c.Curve.Params().BitSize + 7) >> 3
|
||||
zb := make([]byte, byteLen)
|
||||
zbBytes := zbBig.Bytes()
|
||||
copy(zb[byteLen-len(zbBytes):], zbBytes)
|
||||
|
||||
return zb, nil
|
||||
}
|
||||
|
||||
func (c *genericCurve) Sign(rand io.Reader, x, y, d *big.Int, hash []byte) (r, s *big.Int, err error) {
|
||||
priv := &ecdsa.PrivateKey{D: d, PublicKey: ecdsa.PublicKey{X: x, Y: y, Curve: c.Curve}}
|
||||
return ecdsa.Sign(rand, priv, hash)
|
||||
}
|
||||
|
||||
func (c *genericCurve) Verify(x, y *big.Int, hash []byte, r, s *big.Int) bool {
|
||||
pub := &ecdsa.PublicKey{X: x, Y: y, Curve: c.Curve}
|
||||
return ecdsa.Verify(pub, hash, r, s)
|
||||
}
|
||||
|
||||
func (c *genericCurve) validate(xP, yP *big.Int, secret []byte) error {
|
||||
// the public point should not be at infinity (0,0)
|
||||
zero := new(big.Int)
|
||||
if xP.Cmp(zero) == 0 && yP.Cmp(zero) == 0 {
|
||||
return errors.KeyInvalidError(fmt.Sprintf("ecc (%s): infinity point", c.Curve.Params().Name))
|
||||
}
|
||||
|
||||
// re-derive the public point Q' = (X,Y) = dG
|
||||
// to compare to declared Q in public key
|
||||
expectedX, expectedY := c.Curve.ScalarBaseMult(secret)
|
||||
if xP.Cmp(expectedX) != 0 || yP.Cmp(expectedY) != 0 {
|
||||
return errors.KeyInvalidError(fmt.Sprintf("ecc (%s): invalid point", c.Curve.Params().Name))
|
||||
}
|
||||
|
||||
return nil
|
||||
}
|
||||
|
||||
func (c *genericCurve) ValidateECDSA(xP, yP *big.Int, secret []byte) error {
|
||||
return c.validate(xP, yP, secret)
|
||||
}
|
||||
|
||||
func (c *genericCurve) ValidateECDH(point []byte, secret []byte) error {
|
||||
xP, yP := elliptic.Unmarshal(c.Curve, point)
|
||||
if xP == nil {
|
||||
return errors.KeyInvalidError(fmt.Sprintf("ecc (%s): invalid point", c.Curve.Params().Name))
|
||||
}
|
||||
|
||||
return c.validate(xP, yP, secret)
|
||||
}
|
||||
105
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/x448.go
generated
vendored
105
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/ecc/x448.go
generated
vendored
@ -1,105 +0,0 @@
|
||||
// Package ecc implements a generic interface for ECDH, ECDSA, and EdDSA.
|
||||
package ecc
|
||||
|
||||
import (
|
||||
"crypto/subtle"
|
||||
"io"
|
||||
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
x448lib "github.com/cloudflare/circl/dh/x448"
|
||||
)
|
||||
|
||||
type x448 struct {}
|
||||
|
||||
func NewX448() *x448 {
|
||||
return &x448{}
|
||||
}
|
||||
|
||||
func (c *x448) GetCurveName() string {
|
||||
return "x448"
|
||||
}
|
||||
|
||||
// MarshalBytePoint encodes the public point from native format, adding the prefix.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6
|
||||
func (c *x448) MarshalBytePoint(point []byte) []byte {
|
||||
return append([]byte{0x40}, point...)
|
||||
}
|
||||
|
||||
// UnmarshalBytePoint decodes a point from prefixed format to native.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6
|
||||
func (c *x448) UnmarshalBytePoint(point []byte) []byte {
|
||||
if len(point) != x448lib.Size + 1 {
|
||||
return nil
|
||||
}
|
||||
|
||||
return point[1:]
|
||||
}
|
||||
|
||||
// MarshalByteSecret encoded a scalar from native format to prefixed.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6.1.2
|
||||
func (c *x448) MarshalByteSecret(d []byte) []byte {
|
||||
return append([]byte{0x40}, d...)
|
||||
}
|
||||
|
||||
// UnmarshalByteSecret decodes a scalar from prefixed format to native.
|
||||
// See https://datatracker.ietf.org/doc/html/draft-ietf-openpgp-crypto-refresh-06#section-5.5.5.6.1.2
|
||||
func (c *x448) UnmarshalByteSecret(d []byte) []byte {
|
||||
if len(d) != x448lib.Size + 1 {
|
||||
return nil
|
||||
}
|
||||
|
||||
// Store without prefix
|
||||
return d[1:]
|
||||
}
|
||||
|
||||
func (c *x448) generateKeyPairBytes(rand io.Reader) (sk, pk x448lib.Key, err error) {
|
||||
if _, err = rand.Read(sk[:]); err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
x448lib.KeyGen(&pk, &sk)
|
||||
return
|
||||
}
|
||||
|
||||
func (c *x448) GenerateECDH(rand io.Reader) (point []byte, secret []byte, err error) {
|
||||
priv, pub, err := c.generateKeyPairBytes(rand)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
return pub[:], priv[:], nil
|
||||
}
|
||||
|
||||
func (c *x448) Encaps(rand io.Reader, point []byte) (ephemeral, sharedSecret []byte, err error) {
|
||||
var pk, ss x448lib.Key
|
||||
seed, e, err := c.generateKeyPairBytes(rand)
|
||||
|
||||
copy(pk[:], point)
|
||||
x448lib.Shared(&ss, &seed, &pk)
|
||||
|
||||
return e[:], ss[:], nil
|
||||
}
|
||||
|
||||
func (c *x448) Decaps(ephemeral, secret []byte) (sharedSecret []byte, err error) {
|
||||
var ss, sk, e x448lib.Key
|
||||
|
||||
copy(sk[:], secret)
|
||||
copy(e[:], ephemeral)
|
||||
x448lib.Shared(&ss, &sk, &e)
|
||||
|
||||
return ss[:], nil
|
||||
}
|
||||
|
||||
func (c *x448) ValidateECDH(point []byte, secret []byte) error {
|
||||
var sk, pk, expectedPk x448lib.Key
|
||||
|
||||
copy(pk[:], point)
|
||||
copy(sk[:], secret)
|
||||
x448lib.KeyGen(&expectedPk, &sk)
|
||||
|
||||
if subtle.ConstantTimeCompare(expectedPk[:], pk[:]) == 0 {
|
||||
return errors.KeyInvalidError("ecc: invalid curve25519 public point")
|
||||
}
|
||||
|
||||
return nil
|
||||
}
|
||||
27
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/encoding/encoding.go
generated
vendored
27
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/encoding/encoding.go
generated
vendored
@ -1,27 +0,0 @@
|
||||
// Copyright 2017 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
// Package encoding implements openpgp packet field encodings as specified in
|
||||
// RFC 4880 and 6637.
|
||||
package encoding
|
||||
|
||||
import "io"
|
||||
|
||||
// Field is an encoded field of an openpgp packet.
|
||||
type Field interface {
|
||||
// Bytes returns the decoded data.
|
||||
Bytes() []byte
|
||||
|
||||
// BitLength is the size in bits of the decoded data.
|
||||
BitLength() uint16
|
||||
|
||||
// EncodedBytes returns the encoded data.
|
||||
EncodedBytes() []byte
|
||||
|
||||
// EncodedLength is the size in bytes of the encoded data.
|
||||
EncodedLength() uint16
|
||||
|
||||
// ReadFrom reads the next Field from r.
|
||||
ReadFrom(r io.Reader) (int64, error)
|
||||
}
|
||||
91
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/encoding/mpi.go
generated
vendored
91
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/encoding/mpi.go
generated
vendored
@ -1,91 +0,0 @@
|
||||
// Copyright 2017 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package encoding
|
||||
|
||||
import (
|
||||
"io"
|
||||
"math/big"
|
||||
"math/bits"
|
||||
)
|
||||
|
||||
// An MPI is used to store the contents of a big integer, along with the bit
|
||||
// length that was specified in the original input. This allows the MPI to be
|
||||
// reserialized exactly.
|
||||
type MPI struct {
|
||||
bytes []byte
|
||||
bitLength uint16
|
||||
}
|
||||
|
||||
// NewMPI returns a MPI initialized with bytes.
|
||||
func NewMPI(bytes []byte) *MPI {
|
||||
for len(bytes) != 0 && bytes[0] == 0 {
|
||||
bytes = bytes[1:]
|
||||
}
|
||||
if len(bytes) == 0 {
|
||||
bitLength := uint16(0)
|
||||
return &MPI{bytes, bitLength}
|
||||
}
|
||||
bitLength := 8*uint16(len(bytes)-1) + uint16(bits.Len8(bytes[0]))
|
||||
return &MPI{bytes, bitLength}
|
||||
}
|
||||
|
||||
// Bytes returns the decoded data.
|
||||
func (m *MPI) Bytes() []byte {
|
||||
return m.bytes
|
||||
}
|
||||
|
||||
// BitLength is the size in bits of the decoded data.
|
||||
func (m *MPI) BitLength() uint16 {
|
||||
return m.bitLength
|
||||
}
|
||||
|
||||
// EncodedBytes returns the encoded data.
|
||||
func (m *MPI) EncodedBytes() []byte {
|
||||
return append([]byte{byte(m.bitLength >> 8), byte(m.bitLength)}, m.bytes...)
|
||||
}
|
||||
|
||||
// EncodedLength is the size in bytes of the encoded data.
|
||||
func (m *MPI) EncodedLength() uint16 {
|
||||
return uint16(2 + len(m.bytes))
|
||||
}
|
||||
|
||||
// ReadFrom reads into m the next MPI from r.
|
||||
func (m *MPI) ReadFrom(r io.Reader) (int64, error) {
|
||||
var buf [2]byte
|
||||
n, err := io.ReadFull(r, buf[0:])
|
||||
if err != nil {
|
||||
if err == io.EOF {
|
||||
err = io.ErrUnexpectedEOF
|
||||
}
|
||||
return int64(n), err
|
||||
}
|
||||
|
||||
m.bitLength = uint16(buf[0])<<8 | uint16(buf[1])
|
||||
m.bytes = make([]byte, (int(m.bitLength)+7)/8)
|
||||
|
||||
nn, err := io.ReadFull(r, m.bytes)
|
||||
if err == io.EOF {
|
||||
err = io.ErrUnexpectedEOF
|
||||
}
|
||||
|
||||
// remove leading zero bytes from malformed GnuPG encoded MPIs:
|
||||
// https://bugs.gnupg.org/gnupg/issue1853
|
||||
// for _, b := range m.bytes {
|
||||
// if b != 0 {
|
||||
// break
|
||||
// }
|
||||
// m.bytes = m.bytes[1:]
|
||||
// m.bitLength -= 8
|
||||
// }
|
||||
|
||||
return int64(n) + int64(nn), err
|
||||
}
|
||||
|
||||
// SetBig initializes m with the bits from n.
|
||||
func (m *MPI) SetBig(n *big.Int) *MPI {
|
||||
m.bytes = n.Bytes()
|
||||
m.bitLength = uint16(n.BitLen())
|
||||
return m
|
||||
}
|
||||
88
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/encoding/oid.go
generated
vendored
88
vendor/github.com/ProtonMail/go-crypto/openpgp/internal/encoding/oid.go
generated
vendored
@ -1,88 +0,0 @@
|
||||
// Copyright 2017 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package encoding
|
||||
|
||||
import (
|
||||
"io"
|
||||
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
)
|
||||
|
||||
// OID is used to store a variable-length field with a one-octet size
|
||||
// prefix. See https://tools.ietf.org/html/rfc6637#section-9.
|
||||
type OID struct {
|
||||
bytes []byte
|
||||
}
|
||||
|
||||
const (
|
||||
// maxOID is the maximum number of bytes in a OID.
|
||||
maxOID = 254
|
||||
// reservedOIDLength1 and reservedOIDLength2 are OID lengths that the RFC
|
||||
// specifies are reserved.
|
||||
reservedOIDLength1 = 0
|
||||
reservedOIDLength2 = 0xff
|
||||
)
|
||||
|
||||
// NewOID returns a OID initialized with bytes.
|
||||
func NewOID(bytes []byte) *OID {
|
||||
switch len(bytes) {
|
||||
case reservedOIDLength1, reservedOIDLength2:
|
||||
panic("encoding: NewOID argument length is reserved")
|
||||
default:
|
||||
if len(bytes) > maxOID {
|
||||
panic("encoding: NewOID argument too large")
|
||||
}
|
||||
}
|
||||
|
||||
return &OID{
|
||||
bytes: bytes,
|
||||
}
|
||||
}
|
||||
|
||||
// Bytes returns the decoded data.
|
||||
func (o *OID) Bytes() []byte {
|
||||
return o.bytes
|
||||
}
|
||||
|
||||
// BitLength is the size in bits of the decoded data.
|
||||
func (o *OID) BitLength() uint16 {
|
||||
return uint16(len(o.bytes) * 8)
|
||||
}
|
||||
|
||||
// EncodedBytes returns the encoded data.
|
||||
func (o *OID) EncodedBytes() []byte {
|
||||
return append([]byte{byte(len(o.bytes))}, o.bytes...)
|
||||
}
|
||||
|
||||
// EncodedLength is the size in bytes of the encoded data.
|
||||
func (o *OID) EncodedLength() uint16 {
|
||||
return uint16(1 + len(o.bytes))
|
||||
}
|
||||
|
||||
// ReadFrom reads into b the next OID from r.
|
||||
func (o *OID) ReadFrom(r io.Reader) (int64, error) {
|
||||
var buf [1]byte
|
||||
n, err := io.ReadFull(r, buf[:])
|
||||
if err != nil {
|
||||
if err == io.EOF {
|
||||
err = io.ErrUnexpectedEOF
|
||||
}
|
||||
return int64(n), err
|
||||
}
|
||||
|
||||
switch buf[0] {
|
||||
case reservedOIDLength1, reservedOIDLength2:
|
||||
return int64(n), errors.UnsupportedError("reserved for future extensions")
|
||||
}
|
||||
|
||||
o.bytes = make([]byte, buf[0])
|
||||
|
||||
nn, err := io.ReadFull(r, o.bytes)
|
||||
if err == io.EOF {
|
||||
err = io.ErrUnexpectedEOF
|
||||
}
|
||||
|
||||
return int64(n) + int64(nn), err
|
||||
}
|
||||
389
vendor/github.com/ProtonMail/go-crypto/openpgp/key_generation.go
generated
vendored
389
vendor/github.com/ProtonMail/go-crypto/openpgp/key_generation.go
generated
vendored
@ -1,389 +0,0 @@
|
||||
// Copyright 2011 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package openpgp
|
||||
|
||||
import (
|
||||
"crypto"
|
||||
"crypto/rand"
|
||||
"crypto/rsa"
|
||||
goerrors "errors"
|
||||
"io"
|
||||
"math/big"
|
||||
"time"
|
||||
|
||||
"github.com/ProtonMail/go-crypto/openpgp/ecdh"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/ecdsa"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/eddsa"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/internal/algorithm"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/internal/ecc"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/packet"
|
||||
)
|
||||
|
||||
// NewEntity returns an Entity that contains a fresh RSA/RSA keypair with a
|
||||
// single identity composed of the given full name, comment and email, any of
|
||||
// which may be empty but must not contain any of "()<>\x00".
|
||||
// If config is nil, sensible defaults will be used.
|
||||
func NewEntity(name, comment, email string, config *packet.Config) (*Entity, error) {
|
||||
creationTime := config.Now()
|
||||
keyLifetimeSecs := config.KeyLifetime()
|
||||
|
||||
// Generate a primary signing key
|
||||
primaryPrivRaw, err := newSigner(config)
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
primary := packet.NewSignerPrivateKey(creationTime, primaryPrivRaw)
|
||||
if config != nil && config.V5Keys {
|
||||
primary.UpgradeToV5()
|
||||
}
|
||||
|
||||
e := &Entity{
|
||||
PrimaryKey: &primary.PublicKey,
|
||||
PrivateKey: primary,
|
||||
Identities: make(map[string]*Identity),
|
||||
Subkeys: []Subkey{},
|
||||
}
|
||||
|
||||
err = e.addUserId(name, comment, email, config, creationTime, keyLifetimeSecs)
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
|
||||
// NOTE: No key expiry here, but we will not return this subkey in EncryptionKey()
|
||||
// if the primary/master key has expired.
|
||||
err = e.addEncryptionSubkey(config, creationTime, 0)
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
|
||||
return e, nil
|
||||
}
|
||||
|
||||
func (t *Entity) AddUserId(name, comment, email string, config *packet.Config) error {
|
||||
creationTime := config.Now()
|
||||
keyLifetimeSecs := config.KeyLifetime()
|
||||
return t.addUserId(name, comment, email, config, creationTime, keyLifetimeSecs)
|
||||
}
|
||||
|
||||
func (t *Entity) addUserId(name, comment, email string, config *packet.Config, creationTime time.Time, keyLifetimeSecs uint32) error {
|
||||
uid := packet.NewUserId(name, comment, email)
|
||||
if uid == nil {
|
||||
return errors.InvalidArgumentError("user id field contained invalid characters")
|
||||
}
|
||||
|
||||
if _, ok := t.Identities[uid.Id]; ok {
|
||||
return errors.InvalidArgumentError("user id exist")
|
||||
}
|
||||
|
||||
primary := t.PrivateKey
|
||||
|
||||
isPrimaryId := len(t.Identities) == 0
|
||||
|
||||
selfSignature := createSignaturePacket(&primary.PublicKey, packet.SigTypePositiveCert, config)
|
||||
selfSignature.CreationTime = creationTime
|
||||
selfSignature.KeyLifetimeSecs = &keyLifetimeSecs
|
||||
selfSignature.IsPrimaryId = &isPrimaryId
|
||||
selfSignature.FlagsValid = true
|
||||
selfSignature.FlagSign = true
|
||||
selfSignature.FlagCertify = true
|
||||
selfSignature.SEIPDv1 = true // true by default, see 5.8 vs. 5.14
|
||||
selfSignature.SEIPDv2 = config.AEAD() != nil
|
||||
|
||||
// Set the PreferredHash for the SelfSignature from the packet.Config.
|
||||
// If it is not the must-implement algorithm from rfc4880bis, append that.
|
||||
hash, ok := algorithm.HashToHashId(config.Hash())
|
||||
if !ok {
|
||||
return errors.UnsupportedError("unsupported preferred hash function")
|
||||
}
|
||||
|
||||
selfSignature.PreferredHash = []uint8{hash}
|
||||
if config.Hash() != crypto.SHA256 {
|
||||
selfSignature.PreferredHash = append(selfSignature.PreferredHash, hashToHashId(crypto.SHA256))
|
||||
}
|
||||
|
||||
// Likewise for DefaultCipher.
|
||||
selfSignature.PreferredSymmetric = []uint8{uint8(config.Cipher())}
|
||||
if config.Cipher() != packet.CipherAES128 {
|
||||
selfSignature.PreferredSymmetric = append(selfSignature.PreferredSymmetric, uint8(packet.CipherAES128))
|
||||
}
|
||||
|
||||
// We set CompressionNone as the preferred compression algorithm because
|
||||
// of compression side channel attacks, then append the configured
|
||||
// DefaultCompressionAlgo if any is set (to signal support for cases
|
||||
// where the application knows that using compression is safe).
|
||||
selfSignature.PreferredCompression = []uint8{uint8(packet.CompressionNone)}
|
||||
if config.Compression() != packet.CompressionNone {
|
||||
selfSignature.PreferredCompression = append(selfSignature.PreferredCompression, uint8(config.Compression()))
|
||||
}
|
||||
|
||||
// And for DefaultMode.
|
||||
modes := []uint8{uint8(config.AEAD().Mode())}
|
||||
if config.AEAD().Mode() != packet.AEADModeOCB {
|
||||
modes = append(modes, uint8(packet.AEADModeOCB))
|
||||
}
|
||||
|
||||
// For preferred (AES256, GCM), we'll generate (AES256, GCM), (AES256, OCB), (AES128, GCM), (AES128, OCB)
|
||||
for _, cipher := range selfSignature.PreferredSymmetric {
|
||||
for _, mode := range modes {
|
||||
selfSignature.PreferredCipherSuites = append(selfSignature.PreferredCipherSuites, [2]uint8{cipher, mode})
|
||||
}
|
||||
}
|
||||
|
||||
// User ID binding signature
|
||||
err := selfSignature.SignUserId(uid.Id, &primary.PublicKey, primary, config)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
t.Identities[uid.Id] = &Identity{
|
||||
Name: uid.Id,
|
||||
UserId: uid,
|
||||
SelfSignature: selfSignature,
|
||||
Signatures: []*packet.Signature{selfSignature},
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
// AddSigningSubkey adds a signing keypair as a subkey to the Entity.
|
||||
// If config is nil, sensible defaults will be used.
|
||||
func (e *Entity) AddSigningSubkey(config *packet.Config) error {
|
||||
creationTime := config.Now()
|
||||
keyLifetimeSecs := config.KeyLifetime()
|
||||
|
||||
subPrivRaw, err := newSigner(config)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
sub := packet.NewSignerPrivateKey(creationTime, subPrivRaw)
|
||||
sub.IsSubkey = true
|
||||
if config != nil && config.V5Keys {
|
||||
sub.UpgradeToV5()
|
||||
}
|
||||
|
||||
subkey := Subkey{
|
||||
PublicKey: &sub.PublicKey,
|
||||
PrivateKey: sub,
|
||||
}
|
||||
subkey.Sig = createSignaturePacket(e.PrimaryKey, packet.SigTypeSubkeyBinding, config)
|
||||
subkey.Sig.CreationTime = creationTime
|
||||
subkey.Sig.KeyLifetimeSecs = &keyLifetimeSecs
|
||||
subkey.Sig.FlagsValid = true
|
||||
subkey.Sig.FlagSign = true
|
||||
subkey.Sig.EmbeddedSignature = createSignaturePacket(subkey.PublicKey, packet.SigTypePrimaryKeyBinding, config)
|
||||
subkey.Sig.EmbeddedSignature.CreationTime = creationTime
|
||||
|
||||
err = subkey.Sig.EmbeddedSignature.CrossSignKey(subkey.PublicKey, e.PrimaryKey, subkey.PrivateKey, config)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
err = subkey.Sig.SignKey(subkey.PublicKey, e.PrivateKey, config)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
e.Subkeys = append(e.Subkeys, subkey)
|
||||
return nil
|
||||
}
|
||||
|
||||
// AddEncryptionSubkey adds an encryption keypair as a subkey to the Entity.
|
||||
// If config is nil, sensible defaults will be used.
|
||||
func (e *Entity) AddEncryptionSubkey(config *packet.Config) error {
|
||||
creationTime := config.Now()
|
||||
keyLifetimeSecs := config.KeyLifetime()
|
||||
return e.addEncryptionSubkey(config, creationTime, keyLifetimeSecs)
|
||||
}
|
||||
|
||||
func (e *Entity) addEncryptionSubkey(config *packet.Config, creationTime time.Time, keyLifetimeSecs uint32) error {
|
||||
subPrivRaw, err := newDecrypter(config)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
sub := packet.NewDecrypterPrivateKey(creationTime, subPrivRaw)
|
||||
sub.IsSubkey = true
|
||||
if config != nil && config.V5Keys {
|
||||
sub.UpgradeToV5()
|
||||
}
|
||||
|
||||
subkey := Subkey{
|
||||
PublicKey: &sub.PublicKey,
|
||||
PrivateKey: sub,
|
||||
}
|
||||
subkey.Sig = createSignaturePacket(e.PrimaryKey, packet.SigTypeSubkeyBinding, config)
|
||||
subkey.Sig.CreationTime = creationTime
|
||||
subkey.Sig.KeyLifetimeSecs = &keyLifetimeSecs
|
||||
subkey.Sig.FlagsValid = true
|
||||
subkey.Sig.FlagEncryptStorage = true
|
||||
subkey.Sig.FlagEncryptCommunications = true
|
||||
|
||||
err = subkey.Sig.SignKey(subkey.PublicKey, e.PrivateKey, config)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
e.Subkeys = append(e.Subkeys, subkey)
|
||||
return nil
|
||||
}
|
||||
|
||||
// Generates a signing key
|
||||
func newSigner(config *packet.Config) (signer interface{}, err error) {
|
||||
switch config.PublicKeyAlgorithm() {
|
||||
case packet.PubKeyAlgoRSA:
|
||||
bits := config.RSAModulusBits()
|
||||
if bits < 1024 {
|
||||
return nil, errors.InvalidArgumentError("bits must be >= 1024")
|
||||
}
|
||||
if config != nil && len(config.RSAPrimes) >= 2 {
|
||||
primes := config.RSAPrimes[0:2]
|
||||
config.RSAPrimes = config.RSAPrimes[2:]
|
||||
return generateRSAKeyWithPrimes(config.Random(), 2, bits, primes)
|
||||
}
|
||||
return rsa.GenerateKey(config.Random(), bits)
|
||||
case packet.PubKeyAlgoEdDSA:
|
||||
curve := ecc.FindEdDSAByGenName(string(config.CurveName()))
|
||||
if curve == nil {
|
||||
return nil, errors.InvalidArgumentError("unsupported curve")
|
||||
}
|
||||
|
||||
priv, err := eddsa.GenerateKey(config.Random(), curve)
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
return priv, nil
|
||||
case packet.PubKeyAlgoECDSA:
|
||||
curve := ecc.FindECDSAByGenName(string(config.CurveName()))
|
||||
if curve == nil {
|
||||
return nil, errors.InvalidArgumentError("unsupported curve")
|
||||
}
|
||||
|
||||
priv, err := ecdsa.GenerateKey(config.Random(), curve)
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
return priv, nil
|
||||
default:
|
||||
return nil, errors.InvalidArgumentError("unsupported public key algorithm")
|
||||
}
|
||||
}
|
||||
|
||||
// Generates an encryption/decryption key
|
||||
func newDecrypter(config *packet.Config) (decrypter interface{}, err error) {
|
||||
switch config.PublicKeyAlgorithm() {
|
||||
case packet.PubKeyAlgoRSA:
|
||||
bits := config.RSAModulusBits()
|
||||
if bits < 1024 {
|
||||
return nil, errors.InvalidArgumentError("bits must be >= 1024")
|
||||
}
|
||||
if config != nil && len(config.RSAPrimes) >= 2 {
|
||||
primes := config.RSAPrimes[0:2]
|
||||
config.RSAPrimes = config.RSAPrimes[2:]
|
||||
return generateRSAKeyWithPrimes(config.Random(), 2, bits, primes)
|
||||
}
|
||||
return rsa.GenerateKey(config.Random(), bits)
|
||||
case packet.PubKeyAlgoEdDSA, packet.PubKeyAlgoECDSA:
|
||||
fallthrough // When passing EdDSA or ECDSA, we generate an ECDH subkey
|
||||
case packet.PubKeyAlgoECDH:
|
||||
var kdf = ecdh.KDF{
|
||||
Hash: algorithm.SHA512,
|
||||
Cipher: algorithm.AES256,
|
||||
}
|
||||
curve := ecc.FindECDHByGenName(string(config.CurveName()))
|
||||
if curve == nil {
|
||||
return nil, errors.InvalidArgumentError("unsupported curve")
|
||||
}
|
||||
return ecdh.GenerateKey(config.Random(), curve, kdf)
|
||||
default:
|
||||
return nil, errors.InvalidArgumentError("unsupported public key algorithm")
|
||||
}
|
||||
}
|
||||
|
||||
var bigOne = big.NewInt(1)
|
||||
|
||||
// generateRSAKeyWithPrimes generates a multi-prime RSA keypair of the
|
||||
// given bit size, using the given random source and prepopulated primes.
|
||||
func generateRSAKeyWithPrimes(random io.Reader, nprimes int, bits int, prepopulatedPrimes []*big.Int) (*rsa.PrivateKey, error) {
|
||||
priv := new(rsa.PrivateKey)
|
||||
priv.E = 65537
|
||||
|
||||
if nprimes < 2 {
|
||||
return nil, goerrors.New("generateRSAKeyWithPrimes: nprimes must be >= 2")
|
||||
}
|
||||
|
||||
if bits < 1024 {
|
||||
return nil, goerrors.New("generateRSAKeyWithPrimes: bits must be >= 1024")
|
||||
}
|
||||
|
||||
primes := make([]*big.Int, nprimes)
|
||||
|
||||
NextSetOfPrimes:
|
||||
for {
|
||||
todo := bits
|
||||
// crypto/rand should set the top two bits in each prime.
|
||||
// Thus each prime has the form
|
||||
// p_i = 2^bitlen(p_i) × 0.11... (in base 2).
|
||||
// And the product is:
|
||||
// P = 2^todo × α
|
||||
// where α is the product of nprimes numbers of the form 0.11...
|
||||
//
|
||||
// If α < 1/2 (which can happen for nprimes > 2), we need to
|
||||
// shift todo to compensate for lost bits: the mean value of 0.11...
|
||||
// is 7/8, so todo + shift - nprimes * log2(7/8) ~= bits - 1/2
|
||||
// will give good results.
|
||||
if nprimes >= 7 {
|
||||
todo += (nprimes - 2) / 5
|
||||
}
|
||||
for i := 0; i < nprimes; i++ {
|
||||
var err error
|
||||
if len(prepopulatedPrimes) == 0 {
|
||||
primes[i], err = rand.Prime(random, todo/(nprimes-i))
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
} else {
|
||||
primes[i] = prepopulatedPrimes[0]
|
||||
prepopulatedPrimes = prepopulatedPrimes[1:]
|
||||
}
|
||||
|
||||
todo -= primes[i].BitLen()
|
||||
}
|
||||
|
||||
// Make sure that primes is pairwise unequal.
|
||||
for i, prime := range primes {
|
||||
for j := 0; j < i; j++ {
|
||||
if prime.Cmp(primes[j]) == 0 {
|
||||
continue NextSetOfPrimes
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
n := new(big.Int).Set(bigOne)
|
||||
totient := new(big.Int).Set(bigOne)
|
||||
pminus1 := new(big.Int)
|
||||
for _, prime := range primes {
|
||||
n.Mul(n, prime)
|
||||
pminus1.Sub(prime, bigOne)
|
||||
totient.Mul(totient, pminus1)
|
||||
}
|
||||
if n.BitLen() != bits {
|
||||
// This should never happen for nprimes == 2 because
|
||||
// crypto/rand should set the top two bits in each prime.
|
||||
// For nprimes > 2 we hope it does not happen often.
|
||||
continue NextSetOfPrimes
|
||||
}
|
||||
|
||||
priv.D = new(big.Int)
|
||||
e := big.NewInt(int64(priv.E))
|
||||
ok := priv.D.ModInverse(e, totient)
|
||||
|
||||
if ok != nil {
|
||||
priv.Primes = primes
|
||||
priv.N = n
|
||||
break
|
||||
}
|
||||
}
|
||||
|
||||
priv.Precompute()
|
||||
return priv, nil
|
||||
}
|
||||
538
vendor/github.com/ProtonMail/go-crypto/openpgp/keys_test_data.go
generated
vendored
538
vendor/github.com/ProtonMail/go-crypto/openpgp/keys_test_data.go
generated
vendored
File diff suppressed because one or more lines are too long
67
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_config.go
generated
vendored
67
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_config.go
generated
vendored
@ -1,67 +0,0 @@
|
||||
// Copyright (C) 2019 ProtonTech AG
|
||||
|
||||
package packet
|
||||
|
||||
import "math/bits"
|
||||
|
||||
// CipherSuite contains a combination of Cipher and Mode
|
||||
type CipherSuite struct {
|
||||
// The cipher function
|
||||
Cipher CipherFunction
|
||||
// The AEAD mode of operation.
|
||||
Mode AEADMode
|
||||
}
|
||||
|
||||
// AEADConfig collects a number of AEAD parameters along with sensible defaults.
|
||||
// A nil AEADConfig is valid and results in all default values.
|
||||
type AEADConfig struct {
|
||||
// The AEAD mode of operation.
|
||||
DefaultMode AEADMode
|
||||
// Amount of octets in each chunk of data
|
||||
ChunkSize uint64
|
||||
}
|
||||
|
||||
// Mode returns the AEAD mode of operation.
|
||||
func (conf *AEADConfig) Mode() AEADMode {
|
||||
// If no preference is specified, OCB is used (which is mandatory to implement).
|
||||
if conf == nil || conf.DefaultMode == 0 {
|
||||
return AEADModeOCB
|
||||
}
|
||||
|
||||
mode := conf.DefaultMode
|
||||
if mode != AEADModeEAX && mode != AEADModeOCB && mode != AEADModeGCM {
|
||||
panic("AEAD mode unsupported")
|
||||
}
|
||||
return mode
|
||||
}
|
||||
|
||||
// ChunkSizeByte returns the byte indicating the chunk size. The effective
|
||||
// chunk size is computed with the formula uint64(1) << (chunkSizeByte + 6)
|
||||
// limit to 16 = 4 MiB
|
||||
// https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#section-5.13.2
|
||||
func (conf *AEADConfig) ChunkSizeByte() byte {
|
||||
if conf == nil || conf.ChunkSize == 0 {
|
||||
return 12 // 1 << (12 + 6) == 262144 bytes
|
||||
}
|
||||
|
||||
chunkSize := conf.ChunkSize
|
||||
exponent := bits.Len64(chunkSize) - 1
|
||||
switch {
|
||||
case exponent < 6:
|
||||
exponent = 6
|
||||
case exponent > 16:
|
||||
exponent = 16
|
||||
}
|
||||
|
||||
return byte(exponent - 6)
|
||||
}
|
||||
|
||||
// decodeAEADChunkSize returns the effective chunk size. In 32-bit systems, the
|
||||
// maximum returned value is 1 << 30.
|
||||
func decodeAEADChunkSize(c byte) int {
|
||||
size := uint64(1 << (c + 6))
|
||||
if size != uint64(int(size)) {
|
||||
return 1 << 30
|
||||
}
|
||||
return int(size)
|
||||
}
|
||||
265
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_crypter.go
generated
vendored
265
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_crypter.go
generated
vendored
@ -1,265 +0,0 @@
|
||||
// Copyright (C) 2019 ProtonTech AG
|
||||
|
||||
package packet
|
||||
|
||||
import (
|
||||
"bytes"
|
||||
"crypto/cipher"
|
||||
"encoding/binary"
|
||||
"io"
|
||||
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
)
|
||||
|
||||
// aeadCrypter is an AEAD opener/sealer, its configuration, and data for en/decryption.
|
||||
type aeadCrypter struct {
|
||||
aead cipher.AEAD
|
||||
chunkSize int
|
||||
initialNonce []byte
|
||||
associatedData []byte // Chunk-independent associated data
|
||||
chunkIndex []byte // Chunk counter
|
||||
packetTag packetType
|
||||
bytesProcessed int // Amount of plaintext bytes encrypted/decrypted
|
||||
buffer bytes.Buffer // Buffered bytes across chunks
|
||||
}
|
||||
|
||||
// computeNonce takes the incremental index and computes an eXclusive OR with
|
||||
// the least significant 8 bytes of the receivers' initial nonce (see sec.
|
||||
// 5.16.1 and 5.16.2). It returns the resulting nonce.
|
||||
func (wo *aeadCrypter) computeNextNonce() (nonce []byte) {
|
||||
if wo.packetTag == packetTypeSymmetricallyEncryptedIntegrityProtected {
|
||||
return append(wo.initialNonce, wo.chunkIndex...)
|
||||
}
|
||||
|
||||
nonce = make([]byte, len(wo.initialNonce))
|
||||
copy(nonce, wo.initialNonce)
|
||||
offset := len(wo.initialNonce) - 8
|
||||
for i := 0; i < 8; i++ {
|
||||
nonce[i+offset] ^= wo.chunkIndex[i]
|
||||
}
|
||||
return
|
||||
}
|
||||
|
||||
// incrementIndex performs an integer increment by 1 of the integer represented by the
|
||||
// slice, modifying it accordingly.
|
||||
func (wo *aeadCrypter) incrementIndex() error {
|
||||
index := wo.chunkIndex
|
||||
if len(index) == 0 {
|
||||
return errors.AEADError("Index has length 0")
|
||||
}
|
||||
for i := len(index) - 1; i >= 0; i-- {
|
||||
if index[i] < 255 {
|
||||
index[i]++
|
||||
return nil
|
||||
}
|
||||
index[i] = 0
|
||||
}
|
||||
return errors.AEADError("cannot further increment index")
|
||||
}
|
||||
|
||||
// aeadDecrypter reads and decrypts bytes. It buffers extra decrypted bytes when
|
||||
// necessary, similar to aeadEncrypter.
|
||||
type aeadDecrypter struct {
|
||||
aeadCrypter // Embedded ciphertext opener
|
||||
reader io.Reader // 'reader' is a partialLengthReader
|
||||
peekedBytes []byte // Used to detect last chunk
|
||||
eof bool
|
||||
}
|
||||
|
||||
// Read decrypts bytes and reads them into dst. It decrypts when necessary and
|
||||
// buffers extra decrypted bytes. It returns the number of bytes copied into dst
|
||||
// and an error.
|
||||
func (ar *aeadDecrypter) Read(dst []byte) (n int, err error) {
|
||||
// Return buffered plaintext bytes from previous calls
|
||||
if ar.buffer.Len() > 0 {
|
||||
return ar.buffer.Read(dst)
|
||||
}
|
||||
|
||||
// Return EOF if we've previously validated the final tag
|
||||
if ar.eof {
|
||||
return 0, io.EOF
|
||||
}
|
||||
|
||||
// Read a chunk
|
||||
tagLen := ar.aead.Overhead()
|
||||
cipherChunkBuf := new(bytes.Buffer)
|
||||
_, errRead := io.CopyN(cipherChunkBuf, ar.reader, int64(ar.chunkSize + tagLen))
|
||||
cipherChunk := cipherChunkBuf.Bytes()
|
||||
if errRead != nil && errRead != io.EOF {
|
||||
return 0, errRead
|
||||
}
|
||||
decrypted, errChunk := ar.openChunk(cipherChunk)
|
||||
if errChunk != nil {
|
||||
return 0, errChunk
|
||||
}
|
||||
|
||||
// Return decrypted bytes, buffering if necessary
|
||||
if len(dst) < len(decrypted) {
|
||||
n = copy(dst, decrypted[:len(dst)])
|
||||
ar.buffer.Write(decrypted[len(dst):])
|
||||
} else {
|
||||
n = copy(dst, decrypted)
|
||||
}
|
||||
|
||||
// Check final authentication tag
|
||||
if errRead == io.EOF {
|
||||
errChunk := ar.validateFinalTag(ar.peekedBytes)
|
||||
if errChunk != nil {
|
||||
return n, errChunk
|
||||
}
|
||||
ar.eof = true // Mark EOF for when we've returned all buffered data
|
||||
}
|
||||
return
|
||||
}
|
||||
|
||||
// Close is noOp. The final authentication tag of the stream was already
|
||||
// checked in the last Read call. In the future, this function could be used to
|
||||
// wipe the reader and peeked, decrypted bytes, if necessary.
|
||||
func (ar *aeadDecrypter) Close() (err error) {
|
||||
return nil
|
||||
}
|
||||
|
||||
// openChunk decrypts and checks integrity of an encrypted chunk, returning
|
||||
// the underlying plaintext and an error. It accesses peeked bytes from next
|
||||
// chunk, to identify the last chunk and decrypt/validate accordingly.
|
||||
func (ar *aeadDecrypter) openChunk(data []byte) ([]byte, error) {
|
||||
tagLen := ar.aead.Overhead()
|
||||
// Restore carried bytes from last call
|
||||
chunkExtra := append(ar.peekedBytes, data...)
|
||||
// 'chunk' contains encrypted bytes, followed by an authentication tag.
|
||||
chunk := chunkExtra[:len(chunkExtra)-tagLen]
|
||||
ar.peekedBytes = chunkExtra[len(chunkExtra)-tagLen:]
|
||||
|
||||
adata := ar.associatedData
|
||||
if ar.aeadCrypter.packetTag == packetTypeAEADEncrypted {
|
||||
adata = append(ar.associatedData, ar.chunkIndex...)
|
||||
}
|
||||
|
||||
nonce := ar.computeNextNonce()
|
||||
plainChunk, err := ar.aead.Open(nil, nonce, chunk, adata)
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
ar.bytesProcessed += len(plainChunk)
|
||||
if err = ar.aeadCrypter.incrementIndex(); err != nil {
|
||||
return nil, err
|
||||
}
|
||||
return plainChunk, nil
|
||||
}
|
||||
|
||||
// Checks the summary tag. It takes into account the total decrypted bytes into
|
||||
// the associated data. It returns an error, or nil if the tag is valid.
|
||||
func (ar *aeadDecrypter) validateFinalTag(tag []byte) error {
|
||||
// Associated: tag, version, cipher, aead, chunk size, ...
|
||||
amountBytes := make([]byte, 8)
|
||||
binary.BigEndian.PutUint64(amountBytes, uint64(ar.bytesProcessed))
|
||||
|
||||
adata := ar.associatedData
|
||||
if ar.aeadCrypter.packetTag == packetTypeAEADEncrypted {
|
||||
// ... index ...
|
||||
adata = append(ar.associatedData, ar.chunkIndex...)
|
||||
}
|
||||
|
||||
// ... and total number of encrypted octets
|
||||
adata = append(adata, amountBytes...)
|
||||
nonce := ar.computeNextNonce()
|
||||
_, err := ar.aead.Open(nil, nonce, tag, adata)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
// aeadEncrypter encrypts and writes bytes. It encrypts when necessary according
|
||||
// to the AEAD block size, and buffers the extra encrypted bytes for next write.
|
||||
type aeadEncrypter struct {
|
||||
aeadCrypter // Embedded plaintext sealer
|
||||
writer io.WriteCloser // 'writer' is a partialLengthWriter
|
||||
}
|
||||
|
||||
|
||||
// Write encrypts and writes bytes. It encrypts when necessary and buffers extra
|
||||
// plaintext bytes for next call. When the stream is finished, Close() MUST be
|
||||
// called to append the final tag.
|
||||
func (aw *aeadEncrypter) Write(plaintextBytes []byte) (n int, err error) {
|
||||
// Append plaintextBytes to existing buffered bytes
|
||||
n, err = aw.buffer.Write(plaintextBytes)
|
||||
if err != nil {
|
||||
return n, err
|
||||
}
|
||||
// Encrypt and write chunks
|
||||
for aw.buffer.Len() >= aw.chunkSize {
|
||||
plainChunk := aw.buffer.Next(aw.chunkSize)
|
||||
encryptedChunk, err := aw.sealChunk(plainChunk)
|
||||
if err != nil {
|
||||
return n, err
|
||||
}
|
||||
_, err = aw.writer.Write(encryptedChunk)
|
||||
if err != nil {
|
||||
return n, err
|
||||
}
|
||||
}
|
||||
return
|
||||
}
|
||||
|
||||
// Close encrypts and writes the remaining buffered plaintext if any, appends
|
||||
// the final authentication tag, and closes the embedded writer. This function
|
||||
// MUST be called at the end of a stream.
|
||||
func (aw *aeadEncrypter) Close() (err error) {
|
||||
// Encrypt and write a chunk if there's buffered data left, or if we haven't
|
||||
// written any chunks yet.
|
||||
if aw.buffer.Len() > 0 || aw.bytesProcessed == 0 {
|
||||
plainChunk := aw.buffer.Bytes()
|
||||
lastEncryptedChunk, err := aw.sealChunk(plainChunk)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
_, err = aw.writer.Write(lastEncryptedChunk)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
}
|
||||
// Compute final tag (associated data: packet tag, version, cipher, aead,
|
||||
// chunk size...
|
||||
adata := aw.associatedData
|
||||
|
||||
if aw.aeadCrypter.packetTag == packetTypeAEADEncrypted {
|
||||
// ... index ...
|
||||
adata = append(aw.associatedData, aw.chunkIndex...)
|
||||
}
|
||||
|
||||
// ... and total number of encrypted octets
|
||||
amountBytes := make([]byte, 8)
|
||||
binary.BigEndian.PutUint64(amountBytes, uint64(aw.bytesProcessed))
|
||||
adata = append(adata, amountBytes...)
|
||||
|
||||
nonce := aw.computeNextNonce()
|
||||
finalTag := aw.aead.Seal(nil, nonce, nil, adata)
|
||||
_, err = aw.writer.Write(finalTag)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
return aw.writer.Close()
|
||||
}
|
||||
|
||||
// sealChunk Encrypts and authenticates the given chunk.
|
||||
func (aw *aeadEncrypter) sealChunk(data []byte) ([]byte, error) {
|
||||
if len(data) > aw.chunkSize {
|
||||
return nil, errors.AEADError("chunk exceeds maximum length")
|
||||
}
|
||||
if aw.associatedData == nil {
|
||||
return nil, errors.AEADError("can't seal without headers")
|
||||
}
|
||||
adata := aw.associatedData
|
||||
if aw.aeadCrypter.packetTag == packetTypeAEADEncrypted {
|
||||
adata = append(aw.associatedData, aw.chunkIndex...)
|
||||
}
|
||||
|
||||
nonce := aw.computeNextNonce()
|
||||
encrypted := aw.aead.Seal(nil, nonce, data, adata)
|
||||
aw.bytesProcessed += len(data)
|
||||
if err := aw.aeadCrypter.incrementIndex(); err != nil {
|
||||
return nil, err
|
||||
}
|
||||
return encrypted, nil
|
||||
}
|
||||
96
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_encrypted.go
generated
vendored
96
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/aead_encrypted.go
generated
vendored
@ -1,96 +0,0 @@
|
||||
// Copyright (C) 2019 ProtonTech AG
|
||||
|
||||
package packet
|
||||
|
||||
import (
|
||||
"io"
|
||||
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/internal/algorithm"
|
||||
)
|
||||
|
||||
// AEADEncrypted represents an AEAD Encrypted Packet.
|
||||
// See https://www.ietf.org/archive/id/draft-koch-openpgp-2015-rfc4880bis-00.html#name-aead-encrypted-data-packet-t
|
||||
type AEADEncrypted struct {
|
||||
cipher CipherFunction
|
||||
mode AEADMode
|
||||
chunkSizeByte byte
|
||||
Contents io.Reader // Encrypted chunks and tags
|
||||
initialNonce []byte // Referred to as IV in RFC4880-bis
|
||||
}
|
||||
|
||||
// Only currently defined version
|
||||
const aeadEncryptedVersion = 1
|
||||
|
||||
func (ae *AEADEncrypted) parse(buf io.Reader) error {
|
||||
headerData := make([]byte, 4)
|
||||
if n, err := io.ReadFull(buf, headerData); n < 4 {
|
||||
return errors.AEADError("could not read aead header:" + err.Error())
|
||||
}
|
||||
// Read initial nonce
|
||||
mode := AEADMode(headerData[2])
|
||||
nonceLen := mode.IvLength()
|
||||
|
||||
// This packet supports only EAX and OCB
|
||||
// https://www.ietf.org/archive/id/draft-koch-openpgp-2015-rfc4880bis-00.html#name-aead-encrypted-data-packet-t
|
||||
if nonceLen == 0 || mode > AEADModeOCB {
|
||||
return errors.AEADError("unknown mode")
|
||||
}
|
||||
|
||||
initialNonce := make([]byte, nonceLen)
|
||||
if n, err := io.ReadFull(buf, initialNonce); n < nonceLen {
|
||||
return errors.AEADError("could not read aead nonce:" + err.Error())
|
||||
}
|
||||
ae.Contents = buf
|
||||
ae.initialNonce = initialNonce
|
||||
c := headerData[1]
|
||||
if _, ok := algorithm.CipherById[c]; !ok {
|
||||
return errors.UnsupportedError("unknown cipher: " + string(c))
|
||||
}
|
||||
ae.cipher = CipherFunction(c)
|
||||
ae.mode = mode
|
||||
ae.chunkSizeByte = headerData[3]
|
||||
return nil
|
||||
}
|
||||
|
||||
// Decrypt returns a io.ReadCloser from which decrypted bytes can be read, or
|
||||
// an error.
|
||||
func (ae *AEADEncrypted) Decrypt(ciph CipherFunction, key []byte) (io.ReadCloser, error) {
|
||||
return ae.decrypt(key)
|
||||
}
|
||||
|
||||
// decrypt prepares an aeadCrypter and returns a ReadCloser from which
|
||||
// decrypted bytes can be read (see aeadDecrypter.Read()).
|
||||
func (ae *AEADEncrypted) decrypt(key []byte) (io.ReadCloser, error) {
|
||||
blockCipher := ae.cipher.new(key)
|
||||
aead := ae.mode.new(blockCipher)
|
||||
// Carry the first tagLen bytes
|
||||
tagLen := ae.mode.TagLength()
|
||||
peekedBytes := make([]byte, tagLen)
|
||||
n, err := io.ReadFull(ae.Contents, peekedBytes)
|
||||
if n < tagLen || (err != nil && err != io.EOF) {
|
||||
return nil, errors.AEADError("Not enough data to decrypt:" + err.Error())
|
||||
}
|
||||
chunkSize := decodeAEADChunkSize(ae.chunkSizeByte)
|
||||
return &aeadDecrypter{
|
||||
aeadCrypter: aeadCrypter{
|
||||
aead: aead,
|
||||
chunkSize: chunkSize,
|
||||
initialNonce: ae.initialNonce,
|
||||
associatedData: ae.associatedData(),
|
||||
chunkIndex: make([]byte, 8),
|
||||
packetTag: packetTypeAEADEncrypted,
|
||||
},
|
||||
reader: ae.Contents,
|
||||
peekedBytes: peekedBytes}, nil
|
||||
}
|
||||
|
||||
// associatedData for chunks: tag, version, cipher, mode, chunk size byte
|
||||
func (ae *AEADEncrypted) associatedData() []byte {
|
||||
return []byte{
|
||||
0xD4,
|
||||
aeadEncryptedVersion,
|
||||
byte(ae.cipher),
|
||||
byte(ae.mode),
|
||||
ae.chunkSizeByte}
|
||||
}
|
||||
224
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/config.go
generated
vendored
224
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/config.go
generated
vendored
@ -1,224 +0,0 @@
|
||||
// Copyright 2012 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package packet
|
||||
|
||||
import (
|
||||
"crypto"
|
||||
"crypto/rand"
|
||||
"io"
|
||||
"math/big"
|
||||
"time"
|
||||
)
|
||||
|
||||
// Config collects a number of parameters along with sensible defaults.
|
||||
// A nil *Config is valid and results in all default values.
|
||||
type Config struct {
|
||||
// Rand provides the source of entropy.
|
||||
// If nil, the crypto/rand Reader is used.
|
||||
Rand io.Reader
|
||||
// DefaultHash is the default hash function to be used.
|
||||
// If zero, SHA-256 is used.
|
||||
DefaultHash crypto.Hash
|
||||
// DefaultCipher is the cipher to be used.
|
||||
// If zero, AES-128 is used.
|
||||
DefaultCipher CipherFunction
|
||||
// Time returns the current time as the number of seconds since the
|
||||
// epoch. If Time is nil, time.Now is used.
|
||||
Time func() time.Time
|
||||
// DefaultCompressionAlgo is the compression algorithm to be
|
||||
// applied to the plaintext before encryption. If zero, no
|
||||
// compression is done.
|
||||
DefaultCompressionAlgo CompressionAlgo
|
||||
// CompressionConfig configures the compression settings.
|
||||
CompressionConfig *CompressionConfig
|
||||
// S2KCount is only used for symmetric encryption. It
|
||||
// determines the strength of the passphrase stretching when
|
||||
// the said passphrase is hashed to produce a key. S2KCount
|
||||
// should be between 1024 and 65011712, inclusive. If Config
|
||||
// is nil or S2KCount is 0, the value 65536 used. Not all
|
||||
// values in the above range can be represented. S2KCount will
|
||||
// be rounded up to the next representable value if it cannot
|
||||
// be encoded exactly. When set, it is strongly encrouraged to
|
||||
// use a value that is at least 65536. See RFC 4880 Section
|
||||
// 3.7.1.3.
|
||||
S2KCount int
|
||||
// RSABits is the number of bits in new RSA keys made with NewEntity.
|
||||
// If zero, then 2048 bit keys are created.
|
||||
RSABits int
|
||||
// The public key algorithm to use - will always create a signing primary
|
||||
// key and encryption subkey.
|
||||
Algorithm PublicKeyAlgorithm
|
||||
// Some known primes that are optionally prepopulated by the caller
|
||||
RSAPrimes []*big.Int
|
||||
// Curve configures the desired packet.Curve if the Algorithm is PubKeyAlgoECDSA,
|
||||
// PubKeyAlgoEdDSA, or PubKeyAlgoECDH. If empty Curve25519 is used.
|
||||
Curve Curve
|
||||
// AEADConfig configures the use of the new AEAD Encrypted Data Packet,
|
||||
// defined in the draft of the next version of the OpenPGP specification.
|
||||
// If a non-nil AEADConfig is passed, usage of this packet is enabled. By
|
||||
// default, it is disabled. See the documentation of AEADConfig for more
|
||||
// configuration options related to AEAD.
|
||||
// **Note: using this option may break compatibility with other OpenPGP
|
||||
// implementations, as well as future versions of this library.**
|
||||
AEADConfig *AEADConfig
|
||||
// V5Keys configures version 5 key generation. If false, this package still
|
||||
// supports version 5 keys, but produces version 4 keys.
|
||||
V5Keys bool
|
||||
// "The validity period of the key. This is the number of seconds after
|
||||
// the key creation time that the key expires. If this is not present
|
||||
// or has a value of zero, the key never expires. This is found only on
|
||||
// a self-signature.""
|
||||
// https://tools.ietf.org/html/rfc4880#section-5.2.3.6
|
||||
KeyLifetimeSecs uint32
|
||||
// "The validity period of the signature. This is the number of seconds
|
||||
// after the signature creation time that the signature expires. If
|
||||
// this is not present or has a value of zero, it never expires."
|
||||
// https://tools.ietf.org/html/rfc4880#section-5.2.3.10
|
||||
SigLifetimeSecs uint32
|
||||
// SigningKeyId is used to specify the signing key to use (by Key ID).
|
||||
// By default, the signing key is selected automatically, preferring
|
||||
// signing subkeys if available.
|
||||
SigningKeyId uint64
|
||||
// SigningIdentity is used to specify a user ID (packet Signer's User ID, type 28)
|
||||
// when producing a generic certification signature onto an existing user ID.
|
||||
// The identity must be present in the signer Entity.
|
||||
SigningIdentity string
|
||||
// InsecureAllowUnauthenticatedMessages controls, whether it is tolerated to read
|
||||
// encrypted messages without Modification Detection Code (MDC).
|
||||
// MDC is mandated by the IETF OpenPGP Crypto Refresh draft and has long been implemented
|
||||
// in most OpenPGP implementations. Messages without MDC are considered unnecessarily
|
||||
// insecure and should be prevented whenever possible.
|
||||
// In case one needs to deal with messages from very old OpenPGP implementations, there
|
||||
// might be no other way than to tolerate the missing MDC. Setting this flag, allows this
|
||||
// mode of operation. It should be considered a measure of last resort.
|
||||
InsecureAllowUnauthenticatedMessages bool
|
||||
// KnownNotations is a map of Notation Data names to bools, which controls
|
||||
// the notation names that are allowed to be present in critical Notation Data
|
||||
// signature subpackets.
|
||||
KnownNotations map[string]bool
|
||||
// SignatureNotations is a list of Notations to be added to any signatures.
|
||||
SignatureNotations []*Notation
|
||||
}
|
||||
|
||||
func (c *Config) Random() io.Reader {
|
||||
if c == nil || c.Rand == nil {
|
||||
return rand.Reader
|
||||
}
|
||||
return c.Rand
|
||||
}
|
||||
|
||||
func (c *Config) Hash() crypto.Hash {
|
||||
if c == nil || uint(c.DefaultHash) == 0 {
|
||||
return crypto.SHA256
|
||||
}
|
||||
return c.DefaultHash
|
||||
}
|
||||
|
||||
func (c *Config) Cipher() CipherFunction {
|
||||
if c == nil || uint8(c.DefaultCipher) == 0 {
|
||||
return CipherAES128
|
||||
}
|
||||
return c.DefaultCipher
|
||||
}
|
||||
|
||||
func (c *Config) Now() time.Time {
|
||||
if c == nil || c.Time == nil {
|
||||
return time.Now()
|
||||
}
|
||||
return c.Time()
|
||||
}
|
||||
|
||||
// KeyLifetime returns the validity period of the key.
|
||||
func (c *Config) KeyLifetime() uint32 {
|
||||
if c == nil {
|
||||
return 0
|
||||
}
|
||||
return c.KeyLifetimeSecs
|
||||
}
|
||||
|
||||
// SigLifetime returns the validity period of the signature.
|
||||
func (c *Config) SigLifetime() uint32 {
|
||||
if c == nil {
|
||||
return 0
|
||||
}
|
||||
return c.SigLifetimeSecs
|
||||
}
|
||||
|
||||
func (c *Config) Compression() CompressionAlgo {
|
||||
if c == nil {
|
||||
return CompressionNone
|
||||
}
|
||||
return c.DefaultCompressionAlgo
|
||||
}
|
||||
|
||||
func (c *Config) PasswordHashIterations() int {
|
||||
if c == nil || c.S2KCount == 0 {
|
||||
return 0
|
||||
}
|
||||
return c.S2KCount
|
||||
}
|
||||
|
||||
func (c *Config) RSAModulusBits() int {
|
||||
if c == nil || c.RSABits == 0 {
|
||||
return 2048
|
||||
}
|
||||
return c.RSABits
|
||||
}
|
||||
|
||||
func (c *Config) PublicKeyAlgorithm() PublicKeyAlgorithm {
|
||||
if c == nil || c.Algorithm == 0 {
|
||||
return PubKeyAlgoRSA
|
||||
}
|
||||
return c.Algorithm
|
||||
}
|
||||
|
||||
func (c *Config) CurveName() Curve {
|
||||
if c == nil || c.Curve == "" {
|
||||
return Curve25519
|
||||
}
|
||||
return c.Curve
|
||||
}
|
||||
|
||||
func (c *Config) AEAD() *AEADConfig {
|
||||
if c == nil {
|
||||
return nil
|
||||
}
|
||||
return c.AEADConfig
|
||||
}
|
||||
|
||||
func (c *Config) SigningKey() uint64 {
|
||||
if c == nil {
|
||||
return 0
|
||||
}
|
||||
return c.SigningKeyId
|
||||
}
|
||||
|
||||
func (c *Config) SigningUserId() string {
|
||||
if c == nil {
|
||||
return ""
|
||||
}
|
||||
return c.SigningIdentity
|
||||
}
|
||||
|
||||
func (c *Config) AllowUnauthenticatedMessages() bool {
|
||||
if c == nil {
|
||||
return false
|
||||
}
|
||||
return c.InsecureAllowUnauthenticatedMessages
|
||||
}
|
||||
|
||||
func (c *Config) KnownNotation(notationName string) bool {
|
||||
if c == nil {
|
||||
return false
|
||||
}
|
||||
return c.KnownNotations[notationName]
|
||||
}
|
||||
|
||||
func (c *Config) Notations() []*Notation {
|
||||
if c == nil {
|
||||
return nil
|
||||
}
|
||||
return c.SignatureNotations
|
||||
}
|
||||
29
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/notation.go
generated
vendored
29
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/notation.go
generated
vendored
@ -1,29 +0,0 @@
|
||||
package packet
|
||||
|
||||
// Notation type represents a Notation Data subpacket
|
||||
// see https://tools.ietf.org/html/rfc4880#section-5.2.3.16
|
||||
type Notation struct {
|
||||
Name string
|
||||
Value []byte
|
||||
IsCritical bool
|
||||
IsHumanReadable bool
|
||||
}
|
||||
|
||||
func (notation *Notation) getData() []byte {
|
||||
nameData := []byte(notation.Name)
|
||||
nameLen := len(nameData)
|
||||
valueLen := len(notation.Value)
|
||||
|
||||
data := make([]byte, 8+nameLen+valueLen)
|
||||
if notation.IsHumanReadable {
|
||||
data[0] = 0x80
|
||||
}
|
||||
|
||||
data[4] = byte(nameLen >> 8)
|
||||
data[5] = byte(nameLen)
|
||||
data[6] = byte(valueLen >> 8)
|
||||
data[7] = byte(valueLen)
|
||||
copy(data[8:8+nameLen], nameData)
|
||||
copy(data[8+nameLen:], notation.Value)
|
||||
return data
|
||||
}
|
||||
739
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/private_key.go
generated
vendored
739
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/private_key.go
generated
vendored
@ -1,739 +0,0 @@
|
||||
// Copyright 2011 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package packet
|
||||
|
||||
import (
|
||||
"bytes"
|
||||
"crypto"
|
||||
"crypto/cipher"
|
||||
"crypto/dsa"
|
||||
"crypto/rand"
|
||||
"crypto/rsa"
|
||||
"crypto/sha1"
|
||||
"io"
|
||||
"io/ioutil"
|
||||
"math/big"
|
||||
"strconv"
|
||||
"time"
|
||||
|
||||
"github.com/ProtonMail/go-crypto/openpgp/ecdh"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/ecdsa"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/eddsa"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/elgamal"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/internal/encoding"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/s2k"
|
||||
)
|
||||
|
||||
// PrivateKey represents a possibly encrypted private key. See RFC 4880,
|
||||
// section 5.5.3.
|
||||
type PrivateKey struct {
|
||||
PublicKey
|
||||
Encrypted bool // if true then the private key is unavailable until Decrypt has been called.
|
||||
encryptedData []byte
|
||||
cipher CipherFunction
|
||||
s2k func(out, in []byte)
|
||||
// An *{rsa|dsa|elgamal|ecdh|ecdsa|ed25519}.PrivateKey or
|
||||
// crypto.Signer/crypto.Decrypter (Decryptor RSA only).
|
||||
PrivateKey interface{}
|
||||
sha1Checksum bool
|
||||
iv []byte
|
||||
|
||||
// Type of encryption of the S2K packet
|
||||
// Allowed values are 0 (Not encrypted), 254 (SHA1), or
|
||||
// 255 (2-byte checksum)
|
||||
s2kType S2KType
|
||||
// Full parameters of the S2K packet
|
||||
s2kParams *s2k.Params
|
||||
}
|
||||
|
||||
//S2KType s2k packet type
|
||||
type S2KType uint8
|
||||
|
||||
const (
|
||||
// S2KNON unencrypt
|
||||
S2KNON S2KType = 0
|
||||
// S2KSHA1 sha1 sum check
|
||||
S2KSHA1 S2KType = 254
|
||||
// S2KCHECKSUM sum check
|
||||
S2KCHECKSUM S2KType = 255
|
||||
)
|
||||
|
||||
func NewRSAPrivateKey(creationTime time.Time, priv *rsa.PrivateKey) *PrivateKey {
|
||||
pk := new(PrivateKey)
|
||||
pk.PublicKey = *NewRSAPublicKey(creationTime, &priv.PublicKey)
|
||||
pk.PrivateKey = priv
|
||||
return pk
|
||||
}
|
||||
|
||||
func NewDSAPrivateKey(creationTime time.Time, priv *dsa.PrivateKey) *PrivateKey {
|
||||
pk := new(PrivateKey)
|
||||
pk.PublicKey = *NewDSAPublicKey(creationTime, &priv.PublicKey)
|
||||
pk.PrivateKey = priv
|
||||
return pk
|
||||
}
|
||||
|
||||
func NewElGamalPrivateKey(creationTime time.Time, priv *elgamal.PrivateKey) *PrivateKey {
|
||||
pk := new(PrivateKey)
|
||||
pk.PublicKey = *NewElGamalPublicKey(creationTime, &priv.PublicKey)
|
||||
pk.PrivateKey = priv
|
||||
return pk
|
||||
}
|
||||
|
||||
func NewECDSAPrivateKey(creationTime time.Time, priv *ecdsa.PrivateKey) *PrivateKey {
|
||||
pk := new(PrivateKey)
|
||||
pk.PublicKey = *NewECDSAPublicKey(creationTime, &priv.PublicKey)
|
||||
pk.PrivateKey = priv
|
||||
return pk
|
||||
}
|
||||
|
||||
func NewEdDSAPrivateKey(creationTime time.Time, priv *eddsa.PrivateKey) *PrivateKey {
|
||||
pk := new(PrivateKey)
|
||||
pk.PublicKey = *NewEdDSAPublicKey(creationTime, &priv.PublicKey)
|
||||
pk.PrivateKey = priv
|
||||
return pk
|
||||
}
|
||||
|
||||
func NewECDHPrivateKey(creationTime time.Time, priv *ecdh.PrivateKey) *PrivateKey {
|
||||
pk := new(PrivateKey)
|
||||
pk.PublicKey = *NewECDHPublicKey(creationTime, &priv.PublicKey)
|
||||
pk.PrivateKey = priv
|
||||
return pk
|
||||
}
|
||||
|
||||
// NewSignerPrivateKey creates a PrivateKey from a crypto.Signer that
|
||||
// implements RSA, ECDSA or EdDSA.
|
||||
func NewSignerPrivateKey(creationTime time.Time, signer interface{}) *PrivateKey {
|
||||
pk := new(PrivateKey)
|
||||
// In general, the public Keys should be used as pointers. We still
|
||||
// type-switch on the values, for backwards-compatibility.
|
||||
switch pubkey := signer.(type) {
|
||||
case *rsa.PrivateKey:
|
||||
pk.PublicKey = *NewRSAPublicKey(creationTime, &pubkey.PublicKey)
|
||||
case rsa.PrivateKey:
|
||||
pk.PublicKey = *NewRSAPublicKey(creationTime, &pubkey.PublicKey)
|
||||
case *ecdsa.PrivateKey:
|
||||
pk.PublicKey = *NewECDSAPublicKey(creationTime, &pubkey.PublicKey)
|
||||
case ecdsa.PrivateKey:
|
||||
pk.PublicKey = *NewECDSAPublicKey(creationTime, &pubkey.PublicKey)
|
||||
case *eddsa.PrivateKey:
|
||||
pk.PublicKey = *NewEdDSAPublicKey(creationTime, &pubkey.PublicKey)
|
||||
case eddsa.PrivateKey:
|
||||
pk.PublicKey = *NewEdDSAPublicKey(creationTime, &pubkey.PublicKey)
|
||||
default:
|
||||
panic("openpgp: unknown signer type in NewSignerPrivateKey")
|
||||
}
|
||||
pk.PrivateKey = signer
|
||||
return pk
|
||||
}
|
||||
|
||||
// NewDecrypterPrivateKey creates a PrivateKey from a *{rsa|elgamal|ecdh}.PrivateKey.
|
||||
func NewDecrypterPrivateKey(creationTime time.Time, decrypter interface{}) *PrivateKey {
|
||||
pk := new(PrivateKey)
|
||||
switch priv := decrypter.(type) {
|
||||
case *rsa.PrivateKey:
|
||||
pk.PublicKey = *NewRSAPublicKey(creationTime, &priv.PublicKey)
|
||||
case *elgamal.PrivateKey:
|
||||
pk.PublicKey = *NewElGamalPublicKey(creationTime, &priv.PublicKey)
|
||||
case *ecdh.PrivateKey:
|
||||
pk.PublicKey = *NewECDHPublicKey(creationTime, &priv.PublicKey)
|
||||
default:
|
||||
panic("openpgp: unknown decrypter type in NewDecrypterPrivateKey")
|
||||
}
|
||||
pk.PrivateKey = decrypter
|
||||
return pk
|
||||
}
|
||||
|
||||
func (pk *PrivateKey) parse(r io.Reader) (err error) {
|
||||
err = (&pk.PublicKey).parse(r)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
v5 := pk.PublicKey.Version == 5
|
||||
|
||||
var buf [1]byte
|
||||
_, err = readFull(r, buf[:])
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
pk.s2kType = S2KType(buf[0])
|
||||
var optCount [1]byte
|
||||
if v5 {
|
||||
if _, err = readFull(r, optCount[:]); err != nil {
|
||||
return
|
||||
}
|
||||
}
|
||||
|
||||
switch pk.s2kType {
|
||||
case S2KNON:
|
||||
pk.s2k = nil
|
||||
pk.Encrypted = false
|
||||
case S2KSHA1, S2KCHECKSUM:
|
||||
if v5 && pk.s2kType == S2KCHECKSUM {
|
||||
return errors.StructuralError("wrong s2k identifier for version 5")
|
||||
}
|
||||
_, err = readFull(r, buf[:])
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
pk.cipher = CipherFunction(buf[0])
|
||||
if pk.cipher != 0 && !pk.cipher.IsSupported() {
|
||||
return errors.UnsupportedError("unsupported cipher function in private key")
|
||||
}
|
||||
pk.s2kParams, err = s2k.ParseIntoParams(r)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
if pk.s2kParams.Dummy() {
|
||||
return
|
||||
}
|
||||
pk.s2k, err = pk.s2kParams.Function()
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
pk.Encrypted = true
|
||||
if pk.s2kType == S2KSHA1 {
|
||||
pk.sha1Checksum = true
|
||||
}
|
||||
default:
|
||||
return errors.UnsupportedError("deprecated s2k function in private key")
|
||||
}
|
||||
|
||||
if pk.Encrypted {
|
||||
blockSize := pk.cipher.blockSize()
|
||||
if blockSize == 0 {
|
||||
return errors.UnsupportedError("unsupported cipher in private key: " + strconv.Itoa(int(pk.cipher)))
|
||||
}
|
||||
pk.iv = make([]byte, blockSize)
|
||||
_, err = readFull(r, pk.iv)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
}
|
||||
|
||||
var privateKeyData []byte
|
||||
if v5 {
|
||||
var n [4]byte /* secret material four octet count */
|
||||
_, err = readFull(r, n[:])
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
count := uint32(uint32(n[0])<<24 | uint32(n[1])<<16 | uint32(n[2])<<8 | uint32(n[3]))
|
||||
if !pk.Encrypted {
|
||||
count = count + 2 /* two octet checksum */
|
||||
}
|
||||
privateKeyData = make([]byte, count)
|
||||
_, err = readFull(r, privateKeyData)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
} else {
|
||||
privateKeyData, err = ioutil.ReadAll(r)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
}
|
||||
if !pk.Encrypted {
|
||||
if len(privateKeyData) < 2 {
|
||||
return errors.StructuralError("truncated private key data")
|
||||
}
|
||||
var sum uint16
|
||||
for i := 0; i < len(privateKeyData)-2; i++ {
|
||||
sum += uint16(privateKeyData[i])
|
||||
}
|
||||
if privateKeyData[len(privateKeyData)-2] != uint8(sum>>8) ||
|
||||
privateKeyData[len(privateKeyData)-1] != uint8(sum) {
|
||||
return errors.StructuralError("private key checksum failure")
|
||||
}
|
||||
privateKeyData = privateKeyData[:len(privateKeyData)-2]
|
||||
return pk.parsePrivateKey(privateKeyData)
|
||||
}
|
||||
|
||||
pk.encryptedData = privateKeyData
|
||||
return
|
||||
}
|
||||
|
||||
// Dummy returns true if the private key is a dummy key. This is a GNU extension.
|
||||
func (pk *PrivateKey) Dummy() bool {
|
||||
return pk.s2kParams.Dummy()
|
||||
}
|
||||
|
||||
func mod64kHash(d []byte) uint16 {
|
||||
var h uint16
|
||||
for _, b := range d {
|
||||
h += uint16(b)
|
||||
}
|
||||
return h
|
||||
}
|
||||
|
||||
func (pk *PrivateKey) Serialize(w io.Writer) (err error) {
|
||||
contents := bytes.NewBuffer(nil)
|
||||
err = pk.PublicKey.serializeWithoutHeaders(contents)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
if _, err = contents.Write([]byte{uint8(pk.s2kType)}); err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
optional := bytes.NewBuffer(nil)
|
||||
if pk.Encrypted || pk.Dummy() {
|
||||
optional.Write([]byte{uint8(pk.cipher)})
|
||||
if err := pk.s2kParams.Serialize(optional); err != nil {
|
||||
return err
|
||||
}
|
||||
if pk.Encrypted {
|
||||
optional.Write(pk.iv)
|
||||
}
|
||||
}
|
||||
if pk.Version == 5 {
|
||||
contents.Write([]byte{uint8(optional.Len())})
|
||||
}
|
||||
io.Copy(contents, optional)
|
||||
|
||||
if !pk.Dummy() {
|
||||
l := 0
|
||||
var priv []byte
|
||||
if !pk.Encrypted {
|
||||
buf := bytes.NewBuffer(nil)
|
||||
err = pk.serializePrivateKey(buf)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
l = buf.Len()
|
||||
checksum := mod64kHash(buf.Bytes())
|
||||
buf.Write([]byte{byte(checksum >> 8), byte(checksum)})
|
||||
priv = buf.Bytes()
|
||||
} else {
|
||||
priv, l = pk.encryptedData, len(pk.encryptedData)
|
||||
}
|
||||
|
||||
if pk.Version == 5 {
|
||||
contents.Write([]byte{byte(l >> 24), byte(l >> 16), byte(l >> 8), byte(l)})
|
||||
}
|
||||
contents.Write(priv)
|
||||
}
|
||||
|
||||
ptype := packetTypePrivateKey
|
||||
if pk.IsSubkey {
|
||||
ptype = packetTypePrivateSubkey
|
||||
}
|
||||
err = serializeHeader(w, ptype, contents.Len())
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
_, err = io.Copy(w, contents)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
return
|
||||
}
|
||||
|
||||
func serializeRSAPrivateKey(w io.Writer, priv *rsa.PrivateKey) error {
|
||||
if _, err := w.Write(new(encoding.MPI).SetBig(priv.D).EncodedBytes()); err != nil {
|
||||
return err
|
||||
}
|
||||
if _, err := w.Write(new(encoding.MPI).SetBig(priv.Primes[1]).EncodedBytes()); err != nil {
|
||||
return err
|
||||
}
|
||||
if _, err := w.Write(new(encoding.MPI).SetBig(priv.Primes[0]).EncodedBytes()); err != nil {
|
||||
return err
|
||||
}
|
||||
_, err := w.Write(new(encoding.MPI).SetBig(priv.Precomputed.Qinv).EncodedBytes())
|
||||
return err
|
||||
}
|
||||
|
||||
func serializeDSAPrivateKey(w io.Writer, priv *dsa.PrivateKey) error {
|
||||
_, err := w.Write(new(encoding.MPI).SetBig(priv.X).EncodedBytes())
|
||||
return err
|
||||
}
|
||||
|
||||
func serializeElGamalPrivateKey(w io.Writer, priv *elgamal.PrivateKey) error {
|
||||
_, err := w.Write(new(encoding.MPI).SetBig(priv.X).EncodedBytes())
|
||||
return err
|
||||
}
|
||||
|
||||
func serializeECDSAPrivateKey(w io.Writer, priv *ecdsa.PrivateKey) error {
|
||||
_, err := w.Write(encoding.NewMPI(priv.MarshalIntegerSecret()).EncodedBytes())
|
||||
return err
|
||||
}
|
||||
|
||||
func serializeEdDSAPrivateKey(w io.Writer, priv *eddsa.PrivateKey) error {
|
||||
_, err := w.Write(encoding.NewMPI(priv.MarshalByteSecret()).EncodedBytes())
|
||||
return err
|
||||
}
|
||||
|
||||
func serializeECDHPrivateKey(w io.Writer, priv *ecdh.PrivateKey) error {
|
||||
_, err := w.Write(encoding.NewMPI(priv.MarshalByteSecret()).EncodedBytes())
|
||||
return err
|
||||
}
|
||||
|
||||
// Decrypt decrypts an encrypted private key using a passphrase.
|
||||
func (pk *PrivateKey) Decrypt(passphrase []byte) error {
|
||||
if pk.Dummy() {
|
||||
return errors.ErrDummyPrivateKey("dummy key found")
|
||||
}
|
||||
if !pk.Encrypted {
|
||||
return nil
|
||||
}
|
||||
|
||||
key := make([]byte, pk.cipher.KeySize())
|
||||
pk.s2k(key, passphrase)
|
||||
block := pk.cipher.new(key)
|
||||
cfb := cipher.NewCFBDecrypter(block, pk.iv)
|
||||
|
||||
data := make([]byte, len(pk.encryptedData))
|
||||
cfb.XORKeyStream(data, pk.encryptedData)
|
||||
|
||||
if pk.sha1Checksum {
|
||||
if len(data) < sha1.Size {
|
||||
return errors.StructuralError("truncated private key data")
|
||||
}
|
||||
h := sha1.New()
|
||||
h.Write(data[:len(data)-sha1.Size])
|
||||
sum := h.Sum(nil)
|
||||
if !bytes.Equal(sum, data[len(data)-sha1.Size:]) {
|
||||
return errors.StructuralError("private key checksum failure")
|
||||
}
|
||||
data = data[:len(data)-sha1.Size]
|
||||
} else {
|
||||
if len(data) < 2 {
|
||||
return errors.StructuralError("truncated private key data")
|
||||
}
|
||||
var sum uint16
|
||||
for i := 0; i < len(data)-2; i++ {
|
||||
sum += uint16(data[i])
|
||||
}
|
||||
if data[len(data)-2] != uint8(sum>>8) ||
|
||||
data[len(data)-1] != uint8(sum) {
|
||||
return errors.StructuralError("private key checksum failure")
|
||||
}
|
||||
data = data[:len(data)-2]
|
||||
}
|
||||
|
||||
err := pk.parsePrivateKey(data)
|
||||
if _, ok := err.(errors.KeyInvalidError); ok {
|
||||
return errors.KeyInvalidError("invalid key parameters")
|
||||
}
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
// Mark key as unencrypted
|
||||
pk.s2kType = S2KNON
|
||||
pk.s2k = nil
|
||||
pk.Encrypted = false
|
||||
pk.encryptedData = nil
|
||||
|
||||
return nil
|
||||
}
|
||||
|
||||
// Encrypt encrypts an unencrypted private key using a passphrase.
|
||||
func (pk *PrivateKey) Encrypt(passphrase []byte) error {
|
||||
priv := bytes.NewBuffer(nil)
|
||||
err := pk.serializePrivateKey(priv)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
//Default config of private key encryption
|
||||
pk.cipher = CipherAES256
|
||||
s2kConfig := &s2k.Config{
|
||||
S2KMode: 3, //Iterated
|
||||
S2KCount: 65536,
|
||||
Hash: crypto.SHA256,
|
||||
}
|
||||
|
||||
pk.s2kParams, err = s2k.Generate(rand.Reader, s2kConfig)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
privateKeyBytes := priv.Bytes()
|
||||
key := make([]byte, pk.cipher.KeySize())
|
||||
|
||||
pk.sha1Checksum = true
|
||||
pk.s2k, err = pk.s2kParams.Function()
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
pk.s2k(key, passphrase)
|
||||
block := pk.cipher.new(key)
|
||||
pk.iv = make([]byte, pk.cipher.blockSize())
|
||||
_, err = rand.Read(pk.iv)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
cfb := cipher.NewCFBEncrypter(block, pk.iv)
|
||||
|
||||
if pk.sha1Checksum {
|
||||
pk.s2kType = S2KSHA1
|
||||
h := sha1.New()
|
||||
h.Write(privateKeyBytes)
|
||||
sum := h.Sum(nil)
|
||||
privateKeyBytes = append(privateKeyBytes, sum...)
|
||||
} else {
|
||||
pk.s2kType = S2KCHECKSUM
|
||||
var sum uint16
|
||||
for _, b := range privateKeyBytes {
|
||||
sum += uint16(b)
|
||||
}
|
||||
priv.Write([]byte{uint8(sum >> 8), uint8(sum)})
|
||||
}
|
||||
|
||||
pk.encryptedData = make([]byte, len(privateKeyBytes))
|
||||
cfb.XORKeyStream(pk.encryptedData, privateKeyBytes)
|
||||
pk.Encrypted = true
|
||||
pk.PrivateKey = nil
|
||||
return err
|
||||
}
|
||||
|
||||
func (pk *PrivateKey) serializePrivateKey(w io.Writer) (err error) {
|
||||
switch priv := pk.PrivateKey.(type) {
|
||||
case *rsa.PrivateKey:
|
||||
err = serializeRSAPrivateKey(w, priv)
|
||||
case *dsa.PrivateKey:
|
||||
err = serializeDSAPrivateKey(w, priv)
|
||||
case *elgamal.PrivateKey:
|
||||
err = serializeElGamalPrivateKey(w, priv)
|
||||
case *ecdsa.PrivateKey:
|
||||
err = serializeECDSAPrivateKey(w, priv)
|
||||
case *eddsa.PrivateKey:
|
||||
err = serializeEdDSAPrivateKey(w, priv)
|
||||
case *ecdh.PrivateKey:
|
||||
err = serializeECDHPrivateKey(w, priv)
|
||||
default:
|
||||
err = errors.InvalidArgumentError("unknown private key type")
|
||||
}
|
||||
return
|
||||
}
|
||||
|
||||
func (pk *PrivateKey) parsePrivateKey(data []byte) (err error) {
|
||||
switch pk.PublicKey.PubKeyAlgo {
|
||||
case PubKeyAlgoRSA, PubKeyAlgoRSASignOnly, PubKeyAlgoRSAEncryptOnly:
|
||||
return pk.parseRSAPrivateKey(data)
|
||||
case PubKeyAlgoDSA:
|
||||
return pk.parseDSAPrivateKey(data)
|
||||
case PubKeyAlgoElGamal:
|
||||
return pk.parseElGamalPrivateKey(data)
|
||||
case PubKeyAlgoECDSA:
|
||||
return pk.parseECDSAPrivateKey(data)
|
||||
case PubKeyAlgoECDH:
|
||||
return pk.parseECDHPrivateKey(data)
|
||||
case PubKeyAlgoEdDSA:
|
||||
return pk.parseEdDSAPrivateKey(data)
|
||||
}
|
||||
panic("impossible")
|
||||
}
|
||||
|
||||
func (pk *PrivateKey) parseRSAPrivateKey(data []byte) (err error) {
|
||||
rsaPub := pk.PublicKey.PublicKey.(*rsa.PublicKey)
|
||||
rsaPriv := new(rsa.PrivateKey)
|
||||
rsaPriv.PublicKey = *rsaPub
|
||||
|
||||
buf := bytes.NewBuffer(data)
|
||||
d := new(encoding.MPI)
|
||||
if _, err := d.ReadFrom(buf); err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
p := new(encoding.MPI)
|
||||
if _, err := p.ReadFrom(buf); err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
q := new(encoding.MPI)
|
||||
if _, err := q.ReadFrom(buf); err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
rsaPriv.D = new(big.Int).SetBytes(d.Bytes())
|
||||
rsaPriv.Primes = make([]*big.Int, 2)
|
||||
rsaPriv.Primes[0] = new(big.Int).SetBytes(p.Bytes())
|
||||
rsaPriv.Primes[1] = new(big.Int).SetBytes(q.Bytes())
|
||||
if err := rsaPriv.Validate(); err != nil {
|
||||
return errors.KeyInvalidError(err.Error())
|
||||
}
|
||||
rsaPriv.Precompute()
|
||||
pk.PrivateKey = rsaPriv
|
||||
|
||||
return nil
|
||||
}
|
||||
|
||||
func (pk *PrivateKey) parseDSAPrivateKey(data []byte) (err error) {
|
||||
dsaPub := pk.PublicKey.PublicKey.(*dsa.PublicKey)
|
||||
dsaPriv := new(dsa.PrivateKey)
|
||||
dsaPriv.PublicKey = *dsaPub
|
||||
|
||||
buf := bytes.NewBuffer(data)
|
||||
x := new(encoding.MPI)
|
||||
if _, err := x.ReadFrom(buf); err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
dsaPriv.X = new(big.Int).SetBytes(x.Bytes())
|
||||
if err := validateDSAParameters(dsaPriv); err != nil {
|
||||
return err
|
||||
}
|
||||
pk.PrivateKey = dsaPriv
|
||||
|
||||
return nil
|
||||
}
|
||||
|
||||
func (pk *PrivateKey) parseElGamalPrivateKey(data []byte) (err error) {
|
||||
pub := pk.PublicKey.PublicKey.(*elgamal.PublicKey)
|
||||
priv := new(elgamal.PrivateKey)
|
||||
priv.PublicKey = *pub
|
||||
|
||||
buf := bytes.NewBuffer(data)
|
||||
x := new(encoding.MPI)
|
||||
if _, err := x.ReadFrom(buf); err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
priv.X = new(big.Int).SetBytes(x.Bytes())
|
||||
if err := validateElGamalParameters(priv); err != nil {
|
||||
return err
|
||||
}
|
||||
pk.PrivateKey = priv
|
||||
|
||||
return nil
|
||||
}
|
||||
|
||||
func (pk *PrivateKey) parseECDSAPrivateKey(data []byte) (err error) {
|
||||
ecdsaPub := pk.PublicKey.PublicKey.(*ecdsa.PublicKey)
|
||||
ecdsaPriv := ecdsa.NewPrivateKey(*ecdsaPub)
|
||||
|
||||
buf := bytes.NewBuffer(data)
|
||||
d := new(encoding.MPI)
|
||||
if _, err := d.ReadFrom(buf); err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
if err := ecdsaPriv.UnmarshalIntegerSecret(d.Bytes()); err != nil {
|
||||
return err
|
||||
}
|
||||
if err := ecdsa.Validate(ecdsaPriv); err != nil {
|
||||
return err
|
||||
}
|
||||
pk.PrivateKey = ecdsaPriv
|
||||
|
||||
return nil
|
||||
}
|
||||
|
||||
func (pk *PrivateKey) parseECDHPrivateKey(data []byte) (err error) {
|
||||
ecdhPub := pk.PublicKey.PublicKey.(*ecdh.PublicKey)
|
||||
ecdhPriv := ecdh.NewPrivateKey(*ecdhPub)
|
||||
|
||||
buf := bytes.NewBuffer(data)
|
||||
d := new(encoding.MPI)
|
||||
if _, err := d.ReadFrom(buf); err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
if err := ecdhPriv.UnmarshalByteSecret(d.Bytes()); err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
if err := ecdh.Validate(ecdhPriv); err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
pk.PrivateKey = ecdhPriv
|
||||
|
||||
return nil
|
||||
}
|
||||
|
||||
func (pk *PrivateKey) parseEdDSAPrivateKey(data []byte) (err error) {
|
||||
eddsaPub := pk.PublicKey.PublicKey.(*eddsa.PublicKey)
|
||||
eddsaPriv := eddsa.NewPrivateKey(*eddsaPub)
|
||||
eddsaPriv.PublicKey = *eddsaPub
|
||||
|
||||
buf := bytes.NewBuffer(data)
|
||||
d := new(encoding.MPI)
|
||||
if _, err := d.ReadFrom(buf); err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
if err = eddsaPriv.UnmarshalByteSecret(d.Bytes()); err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
if err := eddsa.Validate(eddsaPriv); err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
pk.PrivateKey = eddsaPriv
|
||||
|
||||
return nil
|
||||
}
|
||||
|
||||
func validateDSAParameters(priv *dsa.PrivateKey) error {
|
||||
p := priv.P // group prime
|
||||
q := priv.Q // subgroup order
|
||||
g := priv.G // g has order q mod p
|
||||
x := priv.X // secret
|
||||
y := priv.Y // y == g**x mod p
|
||||
one := big.NewInt(1)
|
||||
// expect g, y >= 2 and g < p
|
||||
if g.Cmp(one) <= 0 || y.Cmp(one) <= 0 || g.Cmp(p) > 0 {
|
||||
return errors.KeyInvalidError("dsa: invalid group")
|
||||
}
|
||||
// expect p > q
|
||||
if p.Cmp(q) <= 0 {
|
||||
return errors.KeyInvalidError("dsa: invalid group prime")
|
||||
}
|
||||
// q should be large enough and divide p-1
|
||||
pSub1 := new(big.Int).Sub(p, one)
|
||||
if q.BitLen() < 150 || new(big.Int).Mod(pSub1, q).Cmp(big.NewInt(0)) != 0 {
|
||||
return errors.KeyInvalidError("dsa: invalid order")
|
||||
}
|
||||
// confirm that g has order q mod p
|
||||
if !q.ProbablyPrime(32) || new(big.Int).Exp(g, q, p).Cmp(one) != 0 {
|
||||
return errors.KeyInvalidError("dsa: invalid order")
|
||||
}
|
||||
// check y
|
||||
if new(big.Int).Exp(g, x, p).Cmp(y) != 0 {
|
||||
return errors.KeyInvalidError("dsa: mismatching values")
|
||||
}
|
||||
|
||||
return nil
|
||||
}
|
||||
|
||||
func validateElGamalParameters(priv *elgamal.PrivateKey) error {
|
||||
p := priv.P // group prime
|
||||
g := priv.G // g has order p-1 mod p
|
||||
x := priv.X // secret
|
||||
y := priv.Y // y == g**x mod p
|
||||
one := big.NewInt(1)
|
||||
// Expect g, y >= 2 and g < p
|
||||
if g.Cmp(one) <= 0 || y.Cmp(one) <= 0 || g.Cmp(p) > 0 {
|
||||
return errors.KeyInvalidError("elgamal: invalid group")
|
||||
}
|
||||
if p.BitLen() < 1024 {
|
||||
return errors.KeyInvalidError("elgamal: group order too small")
|
||||
}
|
||||
pSub1 := new(big.Int).Sub(p, one)
|
||||
if new(big.Int).Exp(g, pSub1, p).Cmp(one) != 0 {
|
||||
return errors.KeyInvalidError("elgamal: invalid group")
|
||||
}
|
||||
// Since p-1 is not prime, g might have a smaller order that divides p-1.
|
||||
// We cannot confirm the exact order of g, but we make sure it is not too small.
|
||||
gExpI := new(big.Int).Set(g)
|
||||
i := 1
|
||||
threshold := 2 << 17 // we want order > threshold
|
||||
for i < threshold {
|
||||
i++ // we check every order to make sure key validation is not easily bypassed by guessing y'
|
||||
gExpI.Mod(new(big.Int).Mul(gExpI, g), p)
|
||||
if gExpI.Cmp(one) == 0 {
|
||||
return errors.KeyInvalidError("elgamal: order too small")
|
||||
}
|
||||
}
|
||||
// Check y
|
||||
if new(big.Int).Exp(g, x, p).Cmp(y) != 0 {
|
||||
return errors.KeyInvalidError("elgamal: mismatching values")
|
||||
}
|
||||
|
||||
return nil
|
||||
}
|
||||
12
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/private_key_test_data.go
generated
vendored
12
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/private_key_test_data.go
generated
vendored
@ -1,12 +0,0 @@
|
||||
package packet
|
||||
|
||||
// Generated with `gpg --export-secret-keys "Test Key 2"`
|
||||
const privKeyRSAHex = "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"
|
||||
|
||||
// Generated by `gpg --export-secret-keys` followed by a manual extraction of
|
||||
// the ElGamal subkey from the packets.
|
||||
const privKeyElGamalHex = "9d0157044df9ee1a100400eb8e136a58ec39b582629cdadf830bc64e0a94ed8103ca8bb247b27b11b46d1d25297ef4bcc3071785ba0c0bedfe89eabc5287fcc0edf81ab5896c1c8e4b20d27d79813c7aede75320b33eaeeaa586edc00fd1036c10133e6ba0ff277245d0d59d04b2b3421b7244aca5f4a8d870c6f1c1fbff9e1c26699a860b9504f35ca1d700030503fd1ededd3b840795be6d9ccbe3c51ee42e2f39233c432b831ddd9c4e72b7025a819317e47bf94f9ee316d7273b05d5fcf2999c3a681f519b1234bbfa6d359b4752bd9c3f77d6b6456cde152464763414ca130f4e91d91041432f90620fec0e6d6b5116076c2985d5aeaae13be492b9b329efcaf7ee25120159a0a30cd976b42d7afe030302dae7eb80db744d4960c4df930d57e87fe81412eaace9f900e6c839817a614ddb75ba6603b9417c33ea7b6c93967dfa2bcff3fa3c74a5ce2c962db65b03aece14c96cbd0038fc"
|
||||
|
||||
// pkcs1PrivKeyHex is a PKCS#1, RSA private key.
|
||||
// Generated by `openssl genrsa 1024 | openssl rsa -outform DER | xxd -p`
|
||||
const pkcs1PrivKeyHex = "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"
|
||||
802
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/public_key.go
generated
vendored
802
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/public_key.go
generated
vendored
@ -1,802 +0,0 @@
|
||||
// Copyright 2011 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package packet
|
||||
|
||||
import (
|
||||
"crypto"
|
||||
"crypto/dsa"
|
||||
"crypto/rsa"
|
||||
"crypto/sha1"
|
||||
"crypto/sha256"
|
||||
_ "crypto/sha512"
|
||||
"encoding/binary"
|
||||
"fmt"
|
||||
"hash"
|
||||
"io"
|
||||
"math/big"
|
||||
"strconv"
|
||||
"time"
|
||||
|
||||
"github.com/ProtonMail/go-crypto/openpgp/ecdh"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/ecdsa"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/eddsa"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/elgamal"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/internal/algorithm"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/internal/ecc"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/internal/encoding"
|
||||
)
|
||||
|
||||
type kdfHashFunction byte
|
||||
type kdfAlgorithm byte
|
||||
|
||||
// PublicKey represents an OpenPGP public key. See RFC 4880, section 5.5.2.
|
||||
type PublicKey struct {
|
||||
Version int
|
||||
CreationTime time.Time
|
||||
PubKeyAlgo PublicKeyAlgorithm
|
||||
PublicKey interface{} // *rsa.PublicKey, *dsa.PublicKey, *ecdsa.PublicKey or *eddsa.PublicKey
|
||||
Fingerprint []byte
|
||||
KeyId uint64
|
||||
IsSubkey bool
|
||||
|
||||
// RFC 4880 fields
|
||||
n, e, p, q, g, y encoding.Field
|
||||
|
||||
// RFC 6637 fields
|
||||
// oid contains the OID byte sequence identifying the elliptic curve used
|
||||
oid encoding.Field
|
||||
|
||||
// kdf stores key derivation function parameters
|
||||
// used for ECDH encryption. See RFC 6637, Section 9.
|
||||
kdf encoding.Field
|
||||
}
|
||||
|
||||
// UpgradeToV5 updates the version of the key to v5, and updates all necessary
|
||||
// fields.
|
||||
func (pk *PublicKey) UpgradeToV5() {
|
||||
pk.Version = 5
|
||||
pk.setFingerprintAndKeyId()
|
||||
}
|
||||
|
||||
// signingKey provides a convenient abstraction over signature verification
|
||||
// for v3 and v4 public keys.
|
||||
type signingKey interface {
|
||||
SerializeForHash(io.Writer) error
|
||||
SerializeSignaturePrefix(io.Writer)
|
||||
serializeWithoutHeaders(io.Writer) error
|
||||
}
|
||||
|
||||
// NewRSAPublicKey returns a PublicKey that wraps the given rsa.PublicKey.
|
||||
func NewRSAPublicKey(creationTime time.Time, pub *rsa.PublicKey) *PublicKey {
|
||||
pk := &PublicKey{
|
||||
Version: 4,
|
||||
CreationTime: creationTime,
|
||||
PubKeyAlgo: PubKeyAlgoRSA,
|
||||
PublicKey: pub,
|
||||
n: new(encoding.MPI).SetBig(pub.N),
|
||||
e: new(encoding.MPI).SetBig(big.NewInt(int64(pub.E))),
|
||||
}
|
||||
|
||||
pk.setFingerprintAndKeyId()
|
||||
return pk
|
||||
}
|
||||
|
||||
// NewDSAPublicKey returns a PublicKey that wraps the given dsa.PublicKey.
|
||||
func NewDSAPublicKey(creationTime time.Time, pub *dsa.PublicKey) *PublicKey {
|
||||
pk := &PublicKey{
|
||||
Version: 4,
|
||||
CreationTime: creationTime,
|
||||
PubKeyAlgo: PubKeyAlgoDSA,
|
||||
PublicKey: pub,
|
||||
p: new(encoding.MPI).SetBig(pub.P),
|
||||
q: new(encoding.MPI).SetBig(pub.Q),
|
||||
g: new(encoding.MPI).SetBig(pub.G),
|
||||
y: new(encoding.MPI).SetBig(pub.Y),
|
||||
}
|
||||
|
||||
pk.setFingerprintAndKeyId()
|
||||
return pk
|
||||
}
|
||||
|
||||
// NewElGamalPublicKey returns a PublicKey that wraps the given elgamal.PublicKey.
|
||||
func NewElGamalPublicKey(creationTime time.Time, pub *elgamal.PublicKey) *PublicKey {
|
||||
pk := &PublicKey{
|
||||
Version: 4,
|
||||
CreationTime: creationTime,
|
||||
PubKeyAlgo: PubKeyAlgoElGamal,
|
||||
PublicKey: pub,
|
||||
p: new(encoding.MPI).SetBig(pub.P),
|
||||
g: new(encoding.MPI).SetBig(pub.G),
|
||||
y: new(encoding.MPI).SetBig(pub.Y),
|
||||
}
|
||||
|
||||
pk.setFingerprintAndKeyId()
|
||||
return pk
|
||||
}
|
||||
|
||||
func NewECDSAPublicKey(creationTime time.Time, pub *ecdsa.PublicKey) *PublicKey {
|
||||
pk := &PublicKey{
|
||||
Version: 4,
|
||||
CreationTime: creationTime,
|
||||
PubKeyAlgo: PubKeyAlgoECDSA,
|
||||
PublicKey: pub,
|
||||
p: encoding.NewMPI(pub.MarshalPoint()),
|
||||
}
|
||||
|
||||
curveInfo := ecc.FindByCurve(pub.GetCurve())
|
||||
if curveInfo == nil {
|
||||
panic("unknown elliptic curve")
|
||||
}
|
||||
pk.oid = curveInfo.Oid
|
||||
pk.setFingerprintAndKeyId()
|
||||
return pk
|
||||
}
|
||||
|
||||
func NewECDHPublicKey(creationTime time.Time, pub *ecdh.PublicKey) *PublicKey {
|
||||
var pk *PublicKey
|
||||
var kdf = encoding.NewOID([]byte{0x1, pub.Hash.Id(), pub.Cipher.Id()})
|
||||
pk = &PublicKey{
|
||||
Version: 4,
|
||||
CreationTime: creationTime,
|
||||
PubKeyAlgo: PubKeyAlgoECDH,
|
||||
PublicKey: pub,
|
||||
p: encoding.NewMPI(pub.MarshalPoint()),
|
||||
kdf: kdf,
|
||||
}
|
||||
|
||||
curveInfo := ecc.FindByCurve(pub.GetCurve())
|
||||
|
||||
if curveInfo == nil {
|
||||
panic("unknown elliptic curve")
|
||||
}
|
||||
|
||||
pk.oid = curveInfo.Oid
|
||||
pk.setFingerprintAndKeyId()
|
||||
return pk
|
||||
}
|
||||
|
||||
func NewEdDSAPublicKey(creationTime time.Time, pub *eddsa.PublicKey) *PublicKey {
|
||||
curveInfo := ecc.FindByCurve(pub.GetCurve())
|
||||
pk := &PublicKey{
|
||||
Version: 4,
|
||||
CreationTime: creationTime,
|
||||
PubKeyAlgo: PubKeyAlgoEdDSA,
|
||||
PublicKey: pub,
|
||||
oid: curveInfo.Oid,
|
||||
// Native point format, see draft-koch-eddsa-for-openpgp-04, Appendix B
|
||||
p: encoding.NewMPI(pub.MarshalPoint()),
|
||||
}
|
||||
|
||||
pk.setFingerprintAndKeyId()
|
||||
return pk
|
||||
}
|
||||
|
||||
func (pk *PublicKey) parse(r io.Reader) (err error) {
|
||||
// RFC 4880, section 5.5.2
|
||||
var buf [6]byte
|
||||
_, err = readFull(r, buf[:])
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
if buf[0] != 4 && buf[0] != 5 {
|
||||
return errors.UnsupportedError("public key version " + strconv.Itoa(int(buf[0])))
|
||||
}
|
||||
|
||||
pk.Version = int(buf[0])
|
||||
if pk.Version == 5 {
|
||||
var n [4]byte
|
||||
_, err = readFull(r, n[:])
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
}
|
||||
pk.CreationTime = time.Unix(int64(uint32(buf[1])<<24|uint32(buf[2])<<16|uint32(buf[3])<<8|uint32(buf[4])), 0)
|
||||
pk.PubKeyAlgo = PublicKeyAlgorithm(buf[5])
|
||||
switch pk.PubKeyAlgo {
|
||||
case PubKeyAlgoRSA, PubKeyAlgoRSAEncryptOnly, PubKeyAlgoRSASignOnly:
|
||||
err = pk.parseRSA(r)
|
||||
case PubKeyAlgoDSA:
|
||||
err = pk.parseDSA(r)
|
||||
case PubKeyAlgoElGamal:
|
||||
err = pk.parseElGamal(r)
|
||||
case PubKeyAlgoECDSA:
|
||||
err = pk.parseECDSA(r)
|
||||
case PubKeyAlgoECDH:
|
||||
err = pk.parseECDH(r)
|
||||
case PubKeyAlgoEdDSA:
|
||||
err = pk.parseEdDSA(r)
|
||||
default:
|
||||
err = errors.UnsupportedError("public key type: " + strconv.Itoa(int(pk.PubKeyAlgo)))
|
||||
}
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
pk.setFingerprintAndKeyId()
|
||||
return
|
||||
}
|
||||
|
||||
func (pk *PublicKey) setFingerprintAndKeyId() {
|
||||
// RFC 4880, section 12.2
|
||||
if pk.Version == 5 {
|
||||
fingerprint := sha256.New()
|
||||
pk.SerializeForHash(fingerprint)
|
||||
pk.Fingerprint = make([]byte, 32)
|
||||
copy(pk.Fingerprint, fingerprint.Sum(nil))
|
||||
pk.KeyId = binary.BigEndian.Uint64(pk.Fingerprint[:8])
|
||||
} else {
|
||||
fingerprint := sha1.New()
|
||||
pk.SerializeForHash(fingerprint)
|
||||
pk.Fingerprint = make([]byte, 20)
|
||||
copy(pk.Fingerprint, fingerprint.Sum(nil))
|
||||
pk.KeyId = binary.BigEndian.Uint64(pk.Fingerprint[12:20])
|
||||
}
|
||||
}
|
||||
|
||||
// parseRSA parses RSA public key material from the given Reader. See RFC 4880,
|
||||
// section 5.5.2.
|
||||
func (pk *PublicKey) parseRSA(r io.Reader) (err error) {
|
||||
pk.n = new(encoding.MPI)
|
||||
if _, err = pk.n.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
pk.e = new(encoding.MPI)
|
||||
if _, err = pk.e.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
if len(pk.e.Bytes()) > 3 {
|
||||
err = errors.UnsupportedError("large public exponent")
|
||||
return
|
||||
}
|
||||
rsa := &rsa.PublicKey{
|
||||
N: new(big.Int).SetBytes(pk.n.Bytes()),
|
||||
E: 0,
|
||||
}
|
||||
for i := 0; i < len(pk.e.Bytes()); i++ {
|
||||
rsa.E <<= 8
|
||||
rsa.E |= int(pk.e.Bytes()[i])
|
||||
}
|
||||
pk.PublicKey = rsa
|
||||
return
|
||||
}
|
||||
|
||||
// parseDSA parses DSA public key material from the given Reader. See RFC 4880,
|
||||
// section 5.5.2.
|
||||
func (pk *PublicKey) parseDSA(r io.Reader) (err error) {
|
||||
pk.p = new(encoding.MPI)
|
||||
if _, err = pk.p.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
pk.q = new(encoding.MPI)
|
||||
if _, err = pk.q.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
pk.g = new(encoding.MPI)
|
||||
if _, err = pk.g.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
pk.y = new(encoding.MPI)
|
||||
if _, err = pk.y.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
dsa := new(dsa.PublicKey)
|
||||
dsa.P = new(big.Int).SetBytes(pk.p.Bytes())
|
||||
dsa.Q = new(big.Int).SetBytes(pk.q.Bytes())
|
||||
dsa.G = new(big.Int).SetBytes(pk.g.Bytes())
|
||||
dsa.Y = new(big.Int).SetBytes(pk.y.Bytes())
|
||||
pk.PublicKey = dsa
|
||||
return
|
||||
}
|
||||
|
||||
// parseElGamal parses ElGamal public key material from the given Reader. See
|
||||
// RFC 4880, section 5.5.2.
|
||||
func (pk *PublicKey) parseElGamal(r io.Reader) (err error) {
|
||||
pk.p = new(encoding.MPI)
|
||||
if _, err = pk.p.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
pk.g = new(encoding.MPI)
|
||||
if _, err = pk.g.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
pk.y = new(encoding.MPI)
|
||||
if _, err = pk.y.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
elgamal := new(elgamal.PublicKey)
|
||||
elgamal.P = new(big.Int).SetBytes(pk.p.Bytes())
|
||||
elgamal.G = new(big.Int).SetBytes(pk.g.Bytes())
|
||||
elgamal.Y = new(big.Int).SetBytes(pk.y.Bytes())
|
||||
pk.PublicKey = elgamal
|
||||
return
|
||||
}
|
||||
|
||||
// parseECDSA parses ECDSA public key material from the given Reader. See
|
||||
// RFC 6637, Section 9.
|
||||
func (pk *PublicKey) parseECDSA(r io.Reader) (err error) {
|
||||
pk.oid = new(encoding.OID)
|
||||
if _, err = pk.oid.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
pk.p = new(encoding.MPI)
|
||||
if _, err = pk.p.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
curveInfo := ecc.FindByOid(pk.oid)
|
||||
if curveInfo == nil {
|
||||
return errors.UnsupportedError(fmt.Sprintf("unknown oid: %x", pk.oid))
|
||||
}
|
||||
|
||||
c, ok := curveInfo.Curve.(ecc.ECDSACurve)
|
||||
if !ok {
|
||||
return errors.UnsupportedError(fmt.Sprintf("unsupported oid: %x", pk.oid))
|
||||
}
|
||||
|
||||
ecdsaKey := ecdsa.NewPublicKey(c)
|
||||
err = ecdsaKey.UnmarshalPoint(pk.p.Bytes())
|
||||
pk.PublicKey = ecdsaKey
|
||||
|
||||
return
|
||||
}
|
||||
|
||||
// parseECDH parses ECDH public key material from the given Reader. See
|
||||
// RFC 6637, Section 9.
|
||||
func (pk *PublicKey) parseECDH(r io.Reader) (err error) {
|
||||
pk.oid = new(encoding.OID)
|
||||
if _, err = pk.oid.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
pk.p = new(encoding.MPI)
|
||||
if _, err = pk.p.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
pk.kdf = new(encoding.OID)
|
||||
if _, err = pk.kdf.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
curveInfo := ecc.FindByOid(pk.oid)
|
||||
|
||||
if curveInfo == nil {
|
||||
return errors.UnsupportedError(fmt.Sprintf("unknown oid: %x", pk.oid))
|
||||
}
|
||||
|
||||
c, ok := curveInfo.Curve.(ecc.ECDHCurve)
|
||||
if !ok {
|
||||
return errors.UnsupportedError(fmt.Sprintf("unsupported oid: %x", pk.oid))
|
||||
}
|
||||
|
||||
if kdfLen := len(pk.kdf.Bytes()); kdfLen < 3 {
|
||||
return errors.UnsupportedError("unsupported ECDH KDF length: " + strconv.Itoa(kdfLen))
|
||||
}
|
||||
if reserved := pk.kdf.Bytes()[0]; reserved != 0x01 {
|
||||
return errors.UnsupportedError("unsupported KDF reserved field: " + strconv.Itoa(int(reserved)))
|
||||
}
|
||||
kdfHash, ok := algorithm.HashById[pk.kdf.Bytes()[1]]
|
||||
if !ok {
|
||||
return errors.UnsupportedError("unsupported ECDH KDF hash: " + strconv.Itoa(int(pk.kdf.Bytes()[1])))
|
||||
}
|
||||
kdfCipher, ok := algorithm.CipherById[pk.kdf.Bytes()[2]]
|
||||
if !ok {
|
||||
return errors.UnsupportedError("unsupported ECDH KDF cipher: " + strconv.Itoa(int(pk.kdf.Bytes()[2])))
|
||||
}
|
||||
|
||||
ecdhKey := ecdh.NewPublicKey(c, kdfHash, kdfCipher)
|
||||
err = ecdhKey.UnmarshalPoint(pk.p.Bytes())
|
||||
pk.PublicKey = ecdhKey
|
||||
|
||||
return
|
||||
}
|
||||
|
||||
func (pk *PublicKey) parseEdDSA(r io.Reader) (err error) {
|
||||
pk.oid = new(encoding.OID)
|
||||
if _, err = pk.oid.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
curveInfo := ecc.FindByOid(pk.oid)
|
||||
if curveInfo == nil {
|
||||
return errors.UnsupportedError(fmt.Sprintf("unknown oid: %x", pk.oid))
|
||||
}
|
||||
|
||||
c, ok := curveInfo.Curve.(ecc.EdDSACurve)
|
||||
if !ok {
|
||||
return errors.UnsupportedError(fmt.Sprintf("unsupported oid: %x", pk.oid))
|
||||
}
|
||||
|
||||
pk.p = new(encoding.MPI)
|
||||
if _, err = pk.p.ReadFrom(r); err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
pub := eddsa.NewPublicKey(c)
|
||||
|
||||
switch flag := pk.p.Bytes()[0]; flag {
|
||||
case 0x04:
|
||||
// TODO: see _grcy_ecc_eddsa_ensure_compact in grcypt
|
||||
return errors.UnsupportedError("unsupported EdDSA compression: " + strconv.Itoa(int(flag)))
|
||||
case 0x40:
|
||||
err = pub.UnmarshalPoint(pk.p.Bytes())
|
||||
default:
|
||||
return errors.UnsupportedError("unsupported EdDSA compression: " + strconv.Itoa(int(flag)))
|
||||
}
|
||||
|
||||
pk.PublicKey = pub
|
||||
return
|
||||
}
|
||||
|
||||
// SerializeForHash serializes the PublicKey to w with the special packet
|
||||
// header format needed for hashing.
|
||||
func (pk *PublicKey) SerializeForHash(w io.Writer) error {
|
||||
pk.SerializeSignaturePrefix(w)
|
||||
return pk.serializeWithoutHeaders(w)
|
||||
}
|
||||
|
||||
// SerializeSignaturePrefix writes the prefix for this public key to the given Writer.
|
||||
// The prefix is used when calculating a signature over this public key. See
|
||||
// RFC 4880, section 5.2.4.
|
||||
func (pk *PublicKey) SerializeSignaturePrefix(w io.Writer) {
|
||||
var pLength = pk.algorithmSpecificByteCount()
|
||||
if pk.Version == 5 {
|
||||
pLength += 10 // version, timestamp (4), algorithm, key octet count (4).
|
||||
w.Write([]byte{
|
||||
0x9A,
|
||||
byte(pLength >> 24),
|
||||
byte(pLength >> 16),
|
||||
byte(pLength >> 8),
|
||||
byte(pLength),
|
||||
})
|
||||
return
|
||||
}
|
||||
pLength += 6
|
||||
w.Write([]byte{0x99, byte(pLength >> 8), byte(pLength)})
|
||||
}
|
||||
|
||||
func (pk *PublicKey) Serialize(w io.Writer) (err error) {
|
||||
length := 6 // 6 byte header
|
||||
length += pk.algorithmSpecificByteCount()
|
||||
if pk.Version == 5 {
|
||||
length += 4 // octet key count
|
||||
}
|
||||
packetType := packetTypePublicKey
|
||||
if pk.IsSubkey {
|
||||
packetType = packetTypePublicSubkey
|
||||
}
|
||||
err = serializeHeader(w, packetType, length)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
return pk.serializeWithoutHeaders(w)
|
||||
}
|
||||
|
||||
func (pk *PublicKey) algorithmSpecificByteCount() int {
|
||||
length := 0
|
||||
switch pk.PubKeyAlgo {
|
||||
case PubKeyAlgoRSA, PubKeyAlgoRSAEncryptOnly, PubKeyAlgoRSASignOnly:
|
||||
length += int(pk.n.EncodedLength())
|
||||
length += int(pk.e.EncodedLength())
|
||||
case PubKeyAlgoDSA:
|
||||
length += int(pk.p.EncodedLength())
|
||||
length += int(pk.q.EncodedLength())
|
||||
length += int(pk.g.EncodedLength())
|
||||
length += int(pk.y.EncodedLength())
|
||||
case PubKeyAlgoElGamal:
|
||||
length += int(pk.p.EncodedLength())
|
||||
length += int(pk.g.EncodedLength())
|
||||
length += int(pk.y.EncodedLength())
|
||||
case PubKeyAlgoECDSA:
|
||||
length += int(pk.oid.EncodedLength())
|
||||
length += int(pk.p.EncodedLength())
|
||||
case PubKeyAlgoECDH:
|
||||
length += int(pk.oid.EncodedLength())
|
||||
length += int(pk.p.EncodedLength())
|
||||
length += int(pk.kdf.EncodedLength())
|
||||
case PubKeyAlgoEdDSA:
|
||||
length += int(pk.oid.EncodedLength())
|
||||
length += int(pk.p.EncodedLength())
|
||||
default:
|
||||
panic("unknown public key algorithm")
|
||||
}
|
||||
return length
|
||||
}
|
||||
|
||||
// serializeWithoutHeaders marshals the PublicKey to w in the form of an
|
||||
// OpenPGP public key packet, not including the packet header.
|
||||
func (pk *PublicKey) serializeWithoutHeaders(w io.Writer) (err error) {
|
||||
t := uint32(pk.CreationTime.Unix())
|
||||
if _, err = w.Write([]byte{
|
||||
byte(pk.Version),
|
||||
byte(t >> 24), byte(t >> 16), byte(t >> 8), byte(t),
|
||||
byte(pk.PubKeyAlgo),
|
||||
}); err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
if pk.Version == 5 {
|
||||
n := pk.algorithmSpecificByteCount()
|
||||
if _, err = w.Write([]byte{
|
||||
byte(n >> 24), byte(n >> 16), byte(n >> 8), byte(n),
|
||||
}); err != nil {
|
||||
return
|
||||
}
|
||||
}
|
||||
|
||||
switch pk.PubKeyAlgo {
|
||||
case PubKeyAlgoRSA, PubKeyAlgoRSAEncryptOnly, PubKeyAlgoRSASignOnly:
|
||||
if _, err = w.Write(pk.n.EncodedBytes()); err != nil {
|
||||
return
|
||||
}
|
||||
_, err = w.Write(pk.e.EncodedBytes())
|
||||
return
|
||||
case PubKeyAlgoDSA:
|
||||
if _, err = w.Write(pk.p.EncodedBytes()); err != nil {
|
||||
return
|
||||
}
|
||||
if _, err = w.Write(pk.q.EncodedBytes()); err != nil {
|
||||
return
|
||||
}
|
||||
if _, err = w.Write(pk.g.EncodedBytes()); err != nil {
|
||||
return
|
||||
}
|
||||
_, err = w.Write(pk.y.EncodedBytes())
|
||||
return
|
||||
case PubKeyAlgoElGamal:
|
||||
if _, err = w.Write(pk.p.EncodedBytes()); err != nil {
|
||||
return
|
||||
}
|
||||
if _, err = w.Write(pk.g.EncodedBytes()); err != nil {
|
||||
return
|
||||
}
|
||||
_, err = w.Write(pk.y.EncodedBytes())
|
||||
return
|
||||
case PubKeyAlgoECDSA:
|
||||
if _, err = w.Write(pk.oid.EncodedBytes()); err != nil {
|
||||
return
|
||||
}
|
||||
_, err = w.Write(pk.p.EncodedBytes())
|
||||
return
|
||||
case PubKeyAlgoECDH:
|
||||
if _, err = w.Write(pk.oid.EncodedBytes()); err != nil {
|
||||
return
|
||||
}
|
||||
if _, err = w.Write(pk.p.EncodedBytes()); err != nil {
|
||||
return
|
||||
}
|
||||
_, err = w.Write(pk.kdf.EncodedBytes())
|
||||
return
|
||||
case PubKeyAlgoEdDSA:
|
||||
if _, err = w.Write(pk.oid.EncodedBytes()); err != nil {
|
||||
return
|
||||
}
|
||||
_, err = w.Write(pk.p.EncodedBytes())
|
||||
return
|
||||
}
|
||||
return errors.InvalidArgumentError("bad public-key algorithm")
|
||||
}
|
||||
|
||||
// CanSign returns true iff this public key can generate signatures
|
||||
func (pk *PublicKey) CanSign() bool {
|
||||
return pk.PubKeyAlgo != PubKeyAlgoRSAEncryptOnly && pk.PubKeyAlgo != PubKeyAlgoElGamal && pk.PubKeyAlgo != PubKeyAlgoECDH
|
||||
}
|
||||
|
||||
// VerifySignature returns nil iff sig is a valid signature, made by this
|
||||
// public key, of the data hashed into signed. signed is mutated by this call.
|
||||
func (pk *PublicKey) VerifySignature(signed hash.Hash, sig *Signature) (err error) {
|
||||
if !pk.CanSign() {
|
||||
return errors.InvalidArgumentError("public key cannot generate signatures")
|
||||
}
|
||||
if sig.Version == 5 && (sig.SigType == 0x00 || sig.SigType == 0x01) {
|
||||
sig.AddMetadataToHashSuffix()
|
||||
}
|
||||
signed.Write(sig.HashSuffix)
|
||||
hashBytes := signed.Sum(nil)
|
||||
if hashBytes[0] != sig.HashTag[0] || hashBytes[1] != sig.HashTag[1] {
|
||||
return errors.SignatureError("hash tag doesn't match")
|
||||
}
|
||||
|
||||
if pk.PubKeyAlgo != sig.PubKeyAlgo {
|
||||
return errors.InvalidArgumentError("public key and signature use different algorithms")
|
||||
}
|
||||
|
||||
switch pk.PubKeyAlgo {
|
||||
case PubKeyAlgoRSA, PubKeyAlgoRSASignOnly:
|
||||
rsaPublicKey, _ := pk.PublicKey.(*rsa.PublicKey)
|
||||
err = rsa.VerifyPKCS1v15(rsaPublicKey, sig.Hash, hashBytes, padToKeySize(rsaPublicKey, sig.RSASignature.Bytes()))
|
||||
if err != nil {
|
||||
return errors.SignatureError("RSA verification failure")
|
||||
}
|
||||
return nil
|
||||
case PubKeyAlgoDSA:
|
||||
dsaPublicKey, _ := pk.PublicKey.(*dsa.PublicKey)
|
||||
// Need to truncate hashBytes to match FIPS 186-3 section 4.6.
|
||||
subgroupSize := (dsaPublicKey.Q.BitLen() + 7) / 8
|
||||
if len(hashBytes) > subgroupSize {
|
||||
hashBytes = hashBytes[:subgroupSize]
|
||||
}
|
||||
if !dsa.Verify(dsaPublicKey, hashBytes, new(big.Int).SetBytes(sig.DSASigR.Bytes()), new(big.Int).SetBytes(sig.DSASigS.Bytes())) {
|
||||
return errors.SignatureError("DSA verification failure")
|
||||
}
|
||||
return nil
|
||||
case PubKeyAlgoECDSA:
|
||||
ecdsaPublicKey := pk.PublicKey.(*ecdsa.PublicKey)
|
||||
if !ecdsa.Verify(ecdsaPublicKey, hashBytes, new(big.Int).SetBytes(sig.ECDSASigR.Bytes()), new(big.Int).SetBytes(sig.ECDSASigS.Bytes())) {
|
||||
return errors.SignatureError("ECDSA verification failure")
|
||||
}
|
||||
return nil
|
||||
case PubKeyAlgoEdDSA:
|
||||
eddsaPublicKey := pk.PublicKey.(*eddsa.PublicKey)
|
||||
if !eddsa.Verify(eddsaPublicKey, hashBytes, sig.EdDSASigR.Bytes(), sig.EdDSASigS.Bytes()) {
|
||||
return errors.SignatureError("EdDSA verification failure")
|
||||
}
|
||||
return nil
|
||||
default:
|
||||
return errors.SignatureError("Unsupported public key algorithm used in signature")
|
||||
}
|
||||
}
|
||||
|
||||
// keySignatureHash returns a Hash of the message that needs to be signed for
|
||||
// pk to assert a subkey relationship to signed.
|
||||
func keySignatureHash(pk, signed signingKey, hashFunc crypto.Hash) (h hash.Hash, err error) {
|
||||
if !hashFunc.Available() {
|
||||
return nil, errors.UnsupportedError("hash function")
|
||||
}
|
||||
h = hashFunc.New()
|
||||
|
||||
// RFC 4880, section 5.2.4
|
||||
err = pk.SerializeForHash(h)
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
|
||||
err = signed.SerializeForHash(h)
|
||||
return
|
||||
}
|
||||
|
||||
// VerifyKeySignature returns nil iff sig is a valid signature, made by this
|
||||
// public key, of signed.
|
||||
func (pk *PublicKey) VerifyKeySignature(signed *PublicKey, sig *Signature) error {
|
||||
h, err := keySignatureHash(pk, signed, sig.Hash)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
if err = pk.VerifySignature(h, sig); err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
if sig.FlagSign {
|
||||
// Signing subkeys must be cross-signed. See
|
||||
// https://www.gnupg.org/faq/subkey-cross-certify.html.
|
||||
if sig.EmbeddedSignature == nil {
|
||||
return errors.StructuralError("signing subkey is missing cross-signature")
|
||||
}
|
||||
// Verify the cross-signature. This is calculated over the same
|
||||
// data as the main signature, so we cannot just recursively
|
||||
// call signed.VerifyKeySignature(...)
|
||||
if h, err = keySignatureHash(pk, signed, sig.EmbeddedSignature.Hash); err != nil {
|
||||
return errors.StructuralError("error while hashing for cross-signature: " + err.Error())
|
||||
}
|
||||
if err := signed.VerifySignature(h, sig.EmbeddedSignature); err != nil {
|
||||
return errors.StructuralError("error while verifying cross-signature: " + err.Error())
|
||||
}
|
||||
}
|
||||
|
||||
return nil
|
||||
}
|
||||
|
||||
func keyRevocationHash(pk signingKey, hashFunc crypto.Hash) (h hash.Hash, err error) {
|
||||
if !hashFunc.Available() {
|
||||
return nil, errors.UnsupportedError("hash function")
|
||||
}
|
||||
h = hashFunc.New()
|
||||
|
||||
// RFC 4880, section 5.2.4
|
||||
err = pk.SerializeForHash(h)
|
||||
|
||||
return
|
||||
}
|
||||
|
||||
// VerifyRevocationSignature returns nil iff sig is a valid signature, made by this
|
||||
// public key.
|
||||
func (pk *PublicKey) VerifyRevocationSignature(sig *Signature) (err error) {
|
||||
h, err := keyRevocationHash(pk, sig.Hash)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
return pk.VerifySignature(h, sig)
|
||||
}
|
||||
|
||||
// VerifySubkeyRevocationSignature returns nil iff sig is a valid subkey revocation signature,
|
||||
// made by this public key, of signed.
|
||||
func (pk *PublicKey) VerifySubkeyRevocationSignature(sig *Signature, signed *PublicKey) (err error) {
|
||||
h, err := keySignatureHash(pk, signed, sig.Hash)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
return pk.VerifySignature(h, sig)
|
||||
}
|
||||
|
||||
// userIdSignatureHash returns a Hash of the message that needs to be signed
|
||||
// to assert that pk is a valid key for id.
|
||||
func userIdSignatureHash(id string, pk *PublicKey, hashFunc crypto.Hash) (h hash.Hash, err error) {
|
||||
if !hashFunc.Available() {
|
||||
return nil, errors.UnsupportedError("hash function")
|
||||
}
|
||||
h = hashFunc.New()
|
||||
|
||||
// RFC 4880, section 5.2.4
|
||||
pk.SerializeSignaturePrefix(h)
|
||||
pk.serializeWithoutHeaders(h)
|
||||
|
||||
var buf [5]byte
|
||||
buf[0] = 0xb4
|
||||
buf[1] = byte(len(id) >> 24)
|
||||
buf[2] = byte(len(id) >> 16)
|
||||
buf[3] = byte(len(id) >> 8)
|
||||
buf[4] = byte(len(id))
|
||||
h.Write(buf[:])
|
||||
h.Write([]byte(id))
|
||||
|
||||
return
|
||||
}
|
||||
|
||||
// VerifyUserIdSignature returns nil iff sig is a valid signature, made by this
|
||||
// public key, that id is the identity of pub.
|
||||
func (pk *PublicKey) VerifyUserIdSignature(id string, pub *PublicKey, sig *Signature) (err error) {
|
||||
h, err := userIdSignatureHash(id, pub, sig.Hash)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
return pk.VerifySignature(h, sig)
|
||||
}
|
||||
|
||||
// KeyIdString returns the public key's fingerprint in capital hex
|
||||
// (e.g. "6C7EE1B8621CC013").
|
||||
func (pk *PublicKey) KeyIdString() string {
|
||||
return fmt.Sprintf("%X", pk.Fingerprint[12:20])
|
||||
}
|
||||
|
||||
// KeyIdShortString returns the short form of public key's fingerprint
|
||||
// in capital hex, as shown by gpg --list-keys (e.g. "621CC013").
|
||||
func (pk *PublicKey) KeyIdShortString() string {
|
||||
return fmt.Sprintf("%X", pk.Fingerprint[16:20])
|
||||
}
|
||||
|
||||
// BitLength returns the bit length for the given public key.
|
||||
func (pk *PublicKey) BitLength() (bitLength uint16, err error) {
|
||||
switch pk.PubKeyAlgo {
|
||||
case PubKeyAlgoRSA, PubKeyAlgoRSAEncryptOnly, PubKeyAlgoRSASignOnly:
|
||||
bitLength = pk.n.BitLength()
|
||||
case PubKeyAlgoDSA:
|
||||
bitLength = pk.p.BitLength()
|
||||
case PubKeyAlgoElGamal:
|
||||
bitLength = pk.p.BitLength()
|
||||
case PubKeyAlgoECDSA:
|
||||
bitLength = pk.p.BitLength()
|
||||
case PubKeyAlgoECDH:
|
||||
bitLength = pk.p.BitLength()
|
||||
case PubKeyAlgoEdDSA:
|
||||
bitLength = pk.p.BitLength()
|
||||
default:
|
||||
err = errors.InvalidArgumentError("bad public-key algorithm")
|
||||
}
|
||||
return
|
||||
}
|
||||
|
||||
// KeyExpired returns whether sig is a self-signature of a key that has
|
||||
// expired or is created in the future.
|
||||
func (pk *PublicKey) KeyExpired(sig *Signature, currentTime time.Time) bool {
|
||||
if pk.CreationTime.After(currentTime) {
|
||||
return true
|
||||
}
|
||||
if sig.KeyLifetimeSecs == nil || *sig.KeyLifetimeSecs == 0 {
|
||||
return false
|
||||
}
|
||||
expiry := pk.CreationTime.Add(time.Duration(*sig.KeyLifetimeSecs) * time.Second)
|
||||
return currentTime.After(expiry)
|
||||
}
|
||||
24
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/public_key_test_data.go
generated
vendored
24
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/public_key_test_data.go
generated
vendored
@ -1,24 +0,0 @@
|
||||
package packet
|
||||
|
||||
const rsaFingerprintHex = "5fb74b1d03b1e3cb31bc2f8aa34d7e18c20c31bb"
|
||||
|
||||
const rsaPkDataHex = "988d044d3c5c10010400b1d13382944bd5aba23a4312968b5095d14f947f600eb478e14a6fcb16b0e0cac764884909c020bc495cfcc39a935387c661507bdb236a0612fb582cac3af9b29cc2c8c70090616c41b662f4da4c1201e195472eb7f4ae1ccbcbf9940fe21d985e379a5563dde5b9a23d35f1cfaa5790da3b79db26f23695107bfaca8e7b5bcd0011010001"
|
||||
|
||||
const dsaFingerprintHex = "eece4c094db002103714c63c8e8fbe54062f19ed"
|
||||
|
||||
const dsaPkDataHex = "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"
|
||||
|
||||
const ecdsaFingerprintHex = "9892270b38b8980b05c8d56d43fe956c542ca00b"
|
||||
|
||||
const ecdsaPkDataHex = "9893045071c29413052b8104002304230401f4867769cedfa52c325018896245443968e52e51d0c2df8d939949cb5b330f2921711fbee1c9b9dddb95d15cb0255e99badeddda7cc23d9ddcaacbc290969b9f24019375d61c2e4e3b36953a28d8b2bc95f78c3f1d592fb24499be348656a7b17e3963187b4361afe497bc5f9f81213f04069f8e1fb9e6a6290ae295ca1a92b894396cb4"
|
||||
|
||||
const ecdhFingerprintHex = "722354df2475a42164d1d49faa8b938f9a201946"
|
||||
|
||||
const ecdhPkDataHex = "b90073044d53059212052b810400220303042faa84024a20b6735c4897efa5bfb41bf85b7eefeab5ca0cb9ffc8ea04a46acb25534a577694f9e25340a4ab5223a9dd1eda530c8aa2e6718db10d7e672558c7736fe09369ea5739a2a3554bf16d41faa50562f11c6d39bbd5dffb6b9a9ec91803010909"
|
||||
|
||||
const eddsaFingerprintHex = "b2d5e5ec0e6deca6bc8eeeb00907e75e1dd99ad8"
|
||||
|
||||
const eddsaPkDataHex = "98330456e2132b16092b06010401da470f01010740bbda39266affa511a8c2d02edf690fb784b0499c4406185811a163539ef11dc1b41d74657374696e67203c74657374696e674074657374696e672e636f6d3e8879041316080021050256e2132b021b03050b09080702061508090a0b020416020301021e01021780000a09100907e75e1dd99ad86d0c00fe39d2008359352782bc9b61ac382584cd8eff3f57a18c2287e3afeeb05d1f04ba00fe2d0bc1ddf3ff8adb9afa3e7d9287244b4ec567f3db4d60b74a9b5465ed528203"
|
||||
|
||||
// Source: https://sites.google.com/site/brainhub/pgpecckeys#TOC-ECC-NIST-P-384-key
|
||||
const ecc384PubHex = `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`
|
||||
303
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetric_key_encrypted.go
generated
vendored
303
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetric_key_encrypted.go
generated
vendored
@ -1,303 +0,0 @@
|
||||
// Copyright 2011 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package packet
|
||||
|
||||
import (
|
||||
"bytes"
|
||||
"crypto/cipher"
|
||||
"crypto/sha256"
|
||||
"io"
|
||||
"strconv"
|
||||
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/s2k"
|
||||
"golang.org/x/crypto/hkdf"
|
||||
)
|
||||
|
||||
// This is the largest session key that we'll support. Since at most 256-bit cipher
|
||||
// is supported in OpenPGP, this is large enough to contain also the auth tag.
|
||||
const maxSessionKeySizeInBytes = 64
|
||||
|
||||
// SymmetricKeyEncrypted represents a passphrase protected session key. See RFC
|
||||
// 4880, section 5.3.
|
||||
type SymmetricKeyEncrypted struct {
|
||||
Version int
|
||||
CipherFunc CipherFunction
|
||||
Mode AEADMode
|
||||
s2k func(out, in []byte)
|
||||
iv []byte
|
||||
encryptedKey []byte // Contains also the authentication tag for AEAD
|
||||
}
|
||||
|
||||
// parse parses an SymmetricKeyEncrypted packet as specified in
|
||||
// https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#name-symmetric-key-encrypted-ses
|
||||
func (ske *SymmetricKeyEncrypted) parse(r io.Reader) error {
|
||||
var buf [1]byte
|
||||
|
||||
// Version
|
||||
if _, err := readFull(r, buf[:]); err != nil {
|
||||
return err
|
||||
}
|
||||
ske.Version = int(buf[0])
|
||||
if ske.Version != 4 && ske.Version != 5 {
|
||||
return errors.UnsupportedError("unknown SymmetricKeyEncrypted version")
|
||||
}
|
||||
|
||||
if ske.Version == 5 {
|
||||
// Scalar octet count
|
||||
if _, err := readFull(r, buf[:]); err != nil {
|
||||
return err
|
||||
}
|
||||
}
|
||||
|
||||
// Cipher function
|
||||
if _, err := readFull(r, buf[:]); err != nil {
|
||||
return err
|
||||
}
|
||||
ske.CipherFunc = CipherFunction(buf[0])
|
||||
if !ske.CipherFunc.IsSupported() {
|
||||
return errors.UnsupportedError("unknown cipher: " + strconv.Itoa(int(buf[0])))
|
||||
}
|
||||
|
||||
if ske.Version == 5 {
|
||||
// AEAD mode
|
||||
if _, err := readFull(r, buf[:]); err != nil {
|
||||
return errors.StructuralError("cannot read AEAD octet from packet")
|
||||
}
|
||||
ske.Mode = AEADMode(buf[0])
|
||||
|
||||
// Scalar octet count
|
||||
if _, err := readFull(r, buf[:]); err != nil {
|
||||
return err
|
||||
}
|
||||
}
|
||||
|
||||
var err error
|
||||
if ske.s2k, err = s2k.Parse(r); err != nil {
|
||||
if _, ok := err.(errors.ErrDummyPrivateKey); ok {
|
||||
return errors.UnsupportedError("missing key GNU extension in session key")
|
||||
}
|
||||
return err
|
||||
}
|
||||
|
||||
if ske.Version == 5 {
|
||||
// AEAD IV
|
||||
iv := make([]byte, ske.Mode.IvLength())
|
||||
_, err := readFull(r, iv)
|
||||
if err != nil {
|
||||
return errors.StructuralError("cannot read AEAD IV")
|
||||
}
|
||||
|
||||
ske.iv = iv
|
||||
}
|
||||
|
||||
encryptedKey := make([]byte, maxSessionKeySizeInBytes)
|
||||
// The session key may follow. We just have to try and read to find
|
||||
// out. If it exists then we limit it to maxSessionKeySizeInBytes.
|
||||
n, err := readFull(r, encryptedKey)
|
||||
if err != nil && err != io.ErrUnexpectedEOF {
|
||||
return err
|
||||
}
|
||||
|
||||
if n != 0 {
|
||||
if n == maxSessionKeySizeInBytes {
|
||||
return errors.UnsupportedError("oversized encrypted session key")
|
||||
}
|
||||
ske.encryptedKey = encryptedKey[:n]
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
// Decrypt attempts to decrypt an encrypted session key and returns the key and
|
||||
// the cipher to use when decrypting a subsequent Symmetrically Encrypted Data
|
||||
// packet.
|
||||
func (ske *SymmetricKeyEncrypted) Decrypt(passphrase []byte) ([]byte, CipherFunction, error) {
|
||||
key := make([]byte, ske.CipherFunc.KeySize())
|
||||
ske.s2k(key, passphrase)
|
||||
if len(ske.encryptedKey) == 0 {
|
||||
return key, ske.CipherFunc, nil
|
||||
}
|
||||
switch ske.Version {
|
||||
case 4:
|
||||
plaintextKey, cipherFunc, err := ske.decryptV4(key)
|
||||
return plaintextKey, cipherFunc, err
|
||||
case 5:
|
||||
plaintextKey, err := ske.decryptV5(key)
|
||||
return plaintextKey, CipherFunction(0), err
|
||||
}
|
||||
err := errors.UnsupportedError("unknown SymmetricKeyEncrypted version")
|
||||
return nil, CipherFunction(0), err
|
||||
}
|
||||
|
||||
func (ske *SymmetricKeyEncrypted) decryptV4(key []byte) ([]byte, CipherFunction, error) {
|
||||
// the IV is all zeros
|
||||
iv := make([]byte, ske.CipherFunc.blockSize())
|
||||
c := cipher.NewCFBDecrypter(ske.CipherFunc.new(key), iv)
|
||||
plaintextKey := make([]byte, len(ske.encryptedKey))
|
||||
c.XORKeyStream(plaintextKey, ske.encryptedKey)
|
||||
cipherFunc := CipherFunction(plaintextKey[0])
|
||||
if cipherFunc.blockSize() == 0 {
|
||||
return nil, ske.CipherFunc, errors.UnsupportedError(
|
||||
"unknown cipher: " + strconv.Itoa(int(cipherFunc)))
|
||||
}
|
||||
plaintextKey = plaintextKey[1:]
|
||||
if len(plaintextKey) != cipherFunc.KeySize() {
|
||||
return nil, cipherFunc, errors.StructuralError(
|
||||
"length of decrypted key not equal to cipher keysize")
|
||||
}
|
||||
return plaintextKey, cipherFunc, nil
|
||||
}
|
||||
|
||||
func (ske *SymmetricKeyEncrypted) decryptV5(key []byte) ([]byte, error) {
|
||||
adata := []byte{0xc3, byte(5), byte(ske.CipherFunc), byte(ske.Mode)}
|
||||
aead := getEncryptedKeyAeadInstance(ske.CipherFunc, ske.Mode, key, adata)
|
||||
|
||||
plaintextKey, err := aead.Open(nil, ske.iv, ske.encryptedKey, adata)
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
return plaintextKey, nil
|
||||
}
|
||||
|
||||
// SerializeSymmetricKeyEncrypted serializes a symmetric key packet to w.
|
||||
// The packet contains a random session key, encrypted by a key derived from
|
||||
// the given passphrase. The session key is returned and must be passed to
|
||||
// SerializeSymmetricallyEncrypted.
|
||||
// If config is nil, sensible defaults will be used.
|
||||
func SerializeSymmetricKeyEncrypted(w io.Writer, passphrase []byte, config *Config) (key []byte, err error) {
|
||||
cipherFunc := config.Cipher()
|
||||
|
||||
sessionKey := make([]byte, cipherFunc.KeySize())
|
||||
_, err = io.ReadFull(config.Random(), sessionKey)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
err = SerializeSymmetricKeyEncryptedReuseKey(w, sessionKey, passphrase, config)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
key = sessionKey
|
||||
return
|
||||
}
|
||||
|
||||
// SerializeSymmetricKeyEncryptedReuseKey serializes a symmetric key packet to w.
|
||||
// The packet contains the given session key, encrypted by a key derived from
|
||||
// the given passphrase. The returned session key must be passed to
|
||||
// SerializeSymmetricallyEncrypted.
|
||||
// If config is nil, sensible defaults will be used.
|
||||
func SerializeSymmetricKeyEncryptedReuseKey(w io.Writer, sessionKey []byte, passphrase []byte, config *Config) (err error) {
|
||||
var version int
|
||||
if config.AEAD() != nil {
|
||||
version = 5
|
||||
} else {
|
||||
version = 4
|
||||
}
|
||||
cipherFunc := config.Cipher()
|
||||
// cipherFunc must be AES
|
||||
if !cipherFunc.IsSupported() || cipherFunc < CipherAES128 || cipherFunc > CipherAES256 {
|
||||
return errors.UnsupportedError("unsupported cipher: " + strconv.Itoa(int(cipherFunc)))
|
||||
}
|
||||
|
||||
keySize := cipherFunc.KeySize()
|
||||
s2kBuf := new(bytes.Buffer)
|
||||
keyEncryptingKey := make([]byte, keySize)
|
||||
// s2k.Serialize salts and stretches the passphrase, and writes the
|
||||
// resulting key to keyEncryptingKey and the s2k descriptor to s2kBuf.
|
||||
err = s2k.Serialize(s2kBuf, keyEncryptingKey, config.Random(), passphrase, &s2k.Config{Hash: config.Hash(), S2KCount: config.PasswordHashIterations()})
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
s2kBytes := s2kBuf.Bytes()
|
||||
|
||||
var packetLength int
|
||||
switch version {
|
||||
case 4:
|
||||
packetLength = 2 /* header */ + len(s2kBytes) + 1 /* cipher type */ + keySize
|
||||
case 5:
|
||||
ivLen := config.AEAD().Mode().IvLength()
|
||||
tagLen := config.AEAD().Mode().TagLength()
|
||||
packetLength = 5 + len(s2kBytes) + ivLen + keySize + tagLen
|
||||
}
|
||||
err = serializeHeader(w, packetTypeSymmetricKeyEncrypted, packetLength)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
// Symmetric Key Encrypted Version
|
||||
buf := []byte{byte(version)}
|
||||
|
||||
if version == 5 {
|
||||
// Scalar octet count
|
||||
buf = append(buf, byte(3 + len(s2kBytes) + config.AEAD().Mode().IvLength()))
|
||||
}
|
||||
|
||||
// Cipher function
|
||||
buf = append(buf, byte(cipherFunc))
|
||||
|
||||
if version == 5 {
|
||||
// AEAD mode
|
||||
buf = append(buf, byte(config.AEAD().Mode()))
|
||||
|
||||
// Scalar octet count
|
||||
buf = append(buf, byte(len(s2kBytes)))
|
||||
}
|
||||
_, err = w.Write(buf)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
_, err = w.Write(s2kBytes)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
switch version {
|
||||
case 4:
|
||||
iv := make([]byte, cipherFunc.blockSize())
|
||||
c := cipher.NewCFBEncrypter(cipherFunc.new(keyEncryptingKey), iv)
|
||||
encryptedCipherAndKey := make([]byte, keySize+1)
|
||||
c.XORKeyStream(encryptedCipherAndKey, buf[1:])
|
||||
c.XORKeyStream(encryptedCipherAndKey[1:], sessionKey)
|
||||
_, err = w.Write(encryptedCipherAndKey)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
case 5:
|
||||
mode := config.AEAD().Mode()
|
||||
adata := []byte{0xc3, byte(5), byte(cipherFunc), byte(mode)}
|
||||
aead := getEncryptedKeyAeadInstance(cipherFunc, mode, keyEncryptingKey, adata)
|
||||
|
||||
// Sample iv using random reader
|
||||
iv := make([]byte, config.AEAD().Mode().IvLength())
|
||||
_, err = io.ReadFull(config.Random(), iv)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
// Seal and write (encryptedData includes auth. tag)
|
||||
|
||||
encryptedData := aead.Seal(nil, iv, sessionKey, adata)
|
||||
_, err = w.Write(iv)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
_, err = w.Write(encryptedData)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
}
|
||||
|
||||
return
|
||||
}
|
||||
|
||||
func getEncryptedKeyAeadInstance(c CipherFunction, mode AEADMode, inputKey, associatedData []byte) (aead cipher.AEAD) {
|
||||
hkdfReader := hkdf.New(sha256.New, inputKey, []byte{}, associatedData)
|
||||
|
||||
encryptionKey := make([]byte, c.KeySize())
|
||||
_, _ = readFull(hkdfReader, encryptionKey)
|
||||
|
||||
blockCipher := c.new(encryptionKey)
|
||||
return mode.new(blockCipher)
|
||||
}
|
||||
91
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted.go
generated
vendored
91
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted.go
generated
vendored
@ -1,91 +0,0 @@
|
||||
// Copyright 2011 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package packet
|
||||
|
||||
import (
|
||||
"io"
|
||||
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
)
|
||||
|
||||
const aeadSaltSize = 32
|
||||
|
||||
// SymmetricallyEncrypted represents a symmetrically encrypted byte string. The
|
||||
// encrypted Contents will consist of more OpenPGP packets. See RFC 4880,
|
||||
// sections 5.7 and 5.13.
|
||||
type SymmetricallyEncrypted struct {
|
||||
Version int
|
||||
Contents io.Reader // contains tag for version 2
|
||||
IntegrityProtected bool // If true it is type 18 (with MDC or AEAD). False is packet type 9
|
||||
|
||||
// Specific to version 1
|
||||
prefix []byte
|
||||
|
||||
// Specific to version 2
|
||||
cipher CipherFunction
|
||||
mode AEADMode
|
||||
chunkSizeByte byte
|
||||
salt [aeadSaltSize]byte
|
||||
}
|
||||
|
||||
const (
|
||||
symmetricallyEncryptedVersionMdc = 1
|
||||
symmetricallyEncryptedVersionAead = 2
|
||||
)
|
||||
|
||||
|
||||
func (se *SymmetricallyEncrypted) parse(r io.Reader) error {
|
||||
if se.IntegrityProtected {
|
||||
// See RFC 4880, section 5.13.
|
||||
var buf [1]byte
|
||||
_, err := readFull(r, buf[:])
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
|
||||
switch buf[0] {
|
||||
case symmetricallyEncryptedVersionMdc:
|
||||
se.Version = symmetricallyEncryptedVersionMdc
|
||||
case symmetricallyEncryptedVersionAead:
|
||||
se.Version = symmetricallyEncryptedVersionAead
|
||||
if err := se.parseAead(r); err != nil {
|
||||
return err
|
||||
}
|
||||
default:
|
||||
return errors.UnsupportedError("unknown SymmetricallyEncrypted version")
|
||||
}
|
||||
}
|
||||
se.Contents = r
|
||||
return nil
|
||||
}
|
||||
|
||||
// Decrypt returns a ReadCloser, from which the decrypted Contents of the
|
||||
// packet can be read. An incorrect key will only be detected after trying
|
||||
// to decrypt the entire data.
|
||||
func (se *SymmetricallyEncrypted) Decrypt(c CipherFunction, key []byte) (io.ReadCloser, error) {
|
||||
if se.Version == symmetricallyEncryptedVersionAead {
|
||||
return se.decryptAead(key)
|
||||
}
|
||||
|
||||
return se.decryptMdc(c, key)
|
||||
}
|
||||
|
||||
// SerializeSymmetricallyEncrypted serializes a symmetrically encrypted packet
|
||||
// to w and returns a WriteCloser to which the to-be-encrypted packets can be
|
||||
// written.
|
||||
// If config is nil, sensible defaults will be used.
|
||||
func SerializeSymmetricallyEncrypted(w io.Writer, c CipherFunction, aeadSupported bool, cipherSuite CipherSuite, key []byte, config *Config) (Contents io.WriteCloser, err error) {
|
||||
writeCloser := noOpCloser{w}
|
||||
ciphertext, err := serializeStreamHeader(writeCloser, packetTypeSymmetricallyEncryptedIntegrityProtected)
|
||||
if err != nil {
|
||||
return
|
||||
}
|
||||
|
||||
if aeadSupported {
|
||||
return serializeSymmetricallyEncryptedAead(ciphertext, cipherSuite, config.AEADConfig.ChunkSizeByte(), config.Random(), key)
|
||||
}
|
||||
|
||||
return serializeSymmetricallyEncryptedMdc(ciphertext, c, key, config)
|
||||
}
|
||||
155
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted_aead.go
generated
vendored
155
vendor/github.com/ProtonMail/go-crypto/openpgp/packet/symmetrically_encrypted_aead.go
generated
vendored
@ -1,155 +0,0 @@
|
||||
// Copyright 2023 Proton AG. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package packet
|
||||
|
||||
import (
|
||||
"crypto/cipher"
|
||||
"crypto/sha256"
|
||||
"github.com/ProtonMail/go-crypto/openpgp/errors"
|
||||
"golang.org/x/crypto/hkdf"
|
||||
"io"
|
||||
)
|
||||
|
||||
// parseAead parses a V2 SEIPD packet (AEAD) as specified in
|
||||
// https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#section-5.13.2
|
||||
func (se *SymmetricallyEncrypted) parseAead(r io.Reader) error {
|
||||
headerData := make([]byte, 3)
|
||||
if n, err := io.ReadFull(r, headerData); n < 3 {
|
||||
return errors.StructuralError("could not read aead header: " + err.Error())
|
||||
}
|
||||
|
||||
// Cipher
|
||||
se.cipher = CipherFunction(headerData[0])
|
||||
// cipherFunc must have block size 16 to use AEAD
|
||||
if se.cipher.blockSize() != 16 {
|
||||
return errors.UnsupportedError("invalid aead cipher: " + string(se.cipher))
|
||||
}
|
||||
|
||||
// Mode
|
||||
se.mode = AEADMode(headerData[1])
|
||||
if se.mode.TagLength() == 0 {
|
||||
return errors.UnsupportedError("unknown aead mode: " + string(se.mode))
|
||||
}
|
||||
|
||||
// Chunk size
|
||||
se.chunkSizeByte = headerData[2]
|
||||
if se.chunkSizeByte > 16 {
|
||||
return errors.UnsupportedError("invalid aead chunk size byte: " + string(se.chunkSizeByte))
|
||||
}
|
||||
|
||||
// Salt
|
||||
if n, err := io.ReadFull(r, se.salt[:]); n < aeadSaltSize {
|
||||
return errors.StructuralError("could not read aead salt: " + err.Error())
|
||||
}
|
||||
|
||||
return nil
|
||||
}
|
||||
|
||||
// associatedData for chunks: tag, version, cipher, mode, chunk size byte
|
||||
func (se *SymmetricallyEncrypted) associatedData() []byte {
|
||||
return []byte{
|
||||
0xD2,
|
||||
symmetricallyEncryptedVersionAead,
|
||||
byte(se.cipher),
|
||||
byte(se.mode),
|
||||
se.chunkSizeByte,
|
||||
}
|
||||
}
|
||||
|
||||
// decryptAead decrypts a V2 SEIPD packet (AEAD) as specified in
|
||||
// https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#section-5.13.2
|
||||
func (se *SymmetricallyEncrypted) decryptAead(inputKey []byte) (io.ReadCloser, error) {
|
||||
aead, nonce := getSymmetricallyEncryptedAeadInstance(se.cipher, se.mode, inputKey, se.salt[:], se.associatedData())
|
||||
|
||||
// Carry the first tagLen bytes
|
||||
tagLen := se.mode.TagLength()
|
||||
peekedBytes := make([]byte, tagLen)
|
||||
n, err := io.ReadFull(se.Contents, peekedBytes)
|
||||
if n < tagLen || (err != nil && err != io.EOF) {
|
||||
return nil, errors.StructuralError("not enough data to decrypt:" + err.Error())
|
||||
}
|
||||
|
||||
return &aeadDecrypter{
|
||||
aeadCrypter: aeadCrypter{
|
||||
aead: aead,
|
||||
chunkSize: decodeAEADChunkSize(se.chunkSizeByte),
|
||||
initialNonce: nonce,
|
||||
associatedData: se.associatedData(),
|
||||
chunkIndex: make([]byte, 8),
|
||||
packetTag: packetTypeSymmetricallyEncryptedIntegrityProtected,
|
||||
},
|
||||
reader: se.Contents,
|
||||
peekedBytes: peekedBytes,
|
||||
}, nil
|
||||
}
|
||||
|
||||
// serializeSymmetricallyEncryptedAead encrypts to a writer a V2 SEIPD packet (AEAD) as specified in
|
||||
// https://www.ietf.org/archive/id/draft-ietf-openpgp-crypto-refresh-07.html#section-5.13.2
|
||||
func serializeSymmetricallyEncryptedAead(ciphertext io.WriteCloser, cipherSuite CipherSuite, chunkSizeByte byte, rand io.Reader, inputKey []byte) (Contents io.WriteCloser, err error) {
|
||||
// cipherFunc must have block size 16 to use AEAD
|
||||
if cipherSuite.Cipher.blockSize() != 16 {
|
||||
return nil, errors.InvalidArgumentError("invalid aead cipher function")
|
||||
}
|
||||
|
||||
if cipherSuite.Cipher.KeySize() != len(inputKey) {
|
||||
return nil, errors.InvalidArgumentError("error in aead serialization: bad key length")
|
||||
}
|
||||
|
||||
// Data for en/decryption: tag, version, cipher, aead mode, chunk size
|
||||
prefix := []byte{
|
||||
0xD2,
|
||||
symmetricallyEncryptedVersionAead,
|
||||
byte(cipherSuite.Cipher),
|
||||
byte(cipherSuite.Mode),
|
||||
chunkSizeByte,
|
||||
}
|
||||
|
||||
// Write header (that correspond to prefix except first byte)
|
||||
n, err := ciphertext.Write(prefix[1:])
|
||||
if err != nil || n < 4 {
|
||||
return nil, err
|
||||
}
|
||||
|
||||
// Random salt
|
||||
salt := make([]byte, aeadSaltSize)
|
||||
if _, err := rand.Read(salt); err != nil {
|
||||
return nil, err
|
||||
}
|
||||
|
||||
if _, err := ciphertext.Write(salt); err != nil {
|
||||
return nil, err
|
||||
}
|
||||
|
||||
aead, nonce := getSymmetricallyEncryptedAeadInstance(cipherSuite.Cipher, cipherSuite.Mode, inputKey, salt, prefix)
|
||||
|
||||
return &aeadEncrypter{
|
||||
aeadCrypter: aeadCrypter{
|
||||
aead: aead,
|
||||
chunkSize: decodeAEADChunkSize(chunkSizeByte),
|
||||
associatedData: prefix,
|
||||
chunkIndex: make([]byte, 8),
|
||||
initialNonce: nonce,
|
||||
packetTag: packetTypeSymmetricallyEncryptedIntegrityProtected,
|
||||
},
|
||||
writer: ciphertext,
|
||||
}, nil
|
||||
}
|
||||
|
||||
func getSymmetricallyEncryptedAeadInstance(c CipherFunction, mode AEADMode, inputKey, salt, associatedData []byte) (aead cipher.AEAD, nonce []byte) {
|
||||
hkdfReader := hkdf.New(sha256.New, inputKey, salt, associatedData)
|
||||
|
||||
encryptionKey := make([]byte, c.KeySize())
|
||||
_, _ = readFull(hkdfReader, encryptionKey)
|
||||
|
||||
// Last 64 bits of nonce are the counter
|
||||
nonce = make([]byte, mode.IvLength() - 8)
|
||||
|
||||
_, _ = readFull(hkdfReader, nonce)
|
||||
|
||||
blockCipher := c.new(encryptionKey)
|
||||
aead = mode.new(blockCipher)
|
||||
|
||||
return
|
||||
}
|
||||
274
vendor/github.com/ProtonMail/go-crypto/openpgp/read_write_test_data.go
generated
vendored
274
vendor/github.com/ProtonMail/go-crypto/openpgp/read_write_test_data.go
generated
vendored
File diff suppressed because one or more lines are too long
57
vendor/github.com/cloudflare/circl/LICENSE
generated
vendored
57
vendor/github.com/cloudflare/circl/LICENSE
generated
vendored
@ -1,57 +0,0 @@
|
||||
Copyright (c) 2019 Cloudflare. All rights reserved.
|
||||
|
||||
Redistribution and use in source and binary forms, with or without
|
||||
modification, are permitted provided that the following conditions are
|
||||
met:
|
||||
|
||||
* Redistributions of source code must retain the above copyright
|
||||
notice, this list of conditions and the following disclaimer.
|
||||
* Redistributions in binary form must reproduce the above
|
||||
copyright notice, this list of conditions and the following disclaimer
|
||||
in the documentation and/or other materials provided with the
|
||||
distribution.
|
||||
* Neither the name of Cloudflare nor the names of its
|
||||
contributors may be used to endorse or promote products derived from
|
||||
this software without specific prior written permission.
|
||||
|
||||
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
||||
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
||||
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
|
||||
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
|
||||
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
|
||||
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
|
||||
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
|
||||
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
|
||||
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
|
||||
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
|
||||
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
|
||||
========================================================================
|
||||
|
||||
Copyright (c) 2009 The Go Authors. All rights reserved.
|
||||
|
||||
Redistribution and use in source and binary forms, with or without
|
||||
modification, are permitted provided that the following conditions are
|
||||
met:
|
||||
|
||||
* Redistributions of source code must retain the above copyright
|
||||
notice, this list of conditions and the following disclaimer.
|
||||
* Redistributions in binary form must reproduce the above
|
||||
copyright notice, this list of conditions and the following disclaimer
|
||||
in the documentation and/or other materials provided with the
|
||||
distribution.
|
||||
* Neither the name of Google Inc. nor the names of its
|
||||
contributors may be used to endorse or promote products derived from
|
||||
this software without specific prior written permission.
|
||||
|
||||
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
||||
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
||||
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
|
||||
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
|
||||
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
|
||||
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
|
||||
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
|
||||
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
|
||||
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
|
||||
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
|
||||
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
96
vendor/github.com/cloudflare/circl/dh/x25519/curve.go
generated
vendored
96
vendor/github.com/cloudflare/circl/dh/x25519/curve.go
generated
vendored
@ -1,96 +0,0 @@
|
||||
package x25519
|
||||
|
||||
import (
|
||||
fp "github.com/cloudflare/circl/math/fp25519"
|
||||
)
|
||||
|
||||
// ladderJoye calculates a fixed-point multiplication with the generator point.
|
||||
// The algorithm is the right-to-left Joye's ladder as described
|
||||
// in "How to precompute a ladder" in SAC'2017.
|
||||
func ladderJoye(k *Key) {
|
||||
w := [5]fp.Elt{} // [mu,x1,z1,x2,z2] order must be preserved.
|
||||
fp.SetOne(&w[1]) // x1 = 1
|
||||
fp.SetOne(&w[2]) // z1 = 1
|
||||
w[3] = fp.Elt{ // x2 = G-S
|
||||
0xbd, 0xaa, 0x2f, 0xc8, 0xfe, 0xe1, 0x94, 0x7e,
|
||||
0xf8, 0xed, 0xb2, 0x14, 0xae, 0x95, 0xf0, 0xbb,
|
||||
0xe2, 0x48, 0x5d, 0x23, 0xb9, 0xa0, 0xc7, 0xad,
|
||||
0x34, 0xab, 0x7c, 0xe2, 0xee, 0xcd, 0xae, 0x1e,
|
||||
}
|
||||
fp.SetOne(&w[4]) // z2 = 1
|
||||
|
||||
const n = 255
|
||||
const h = 3
|
||||
swap := uint(1)
|
||||
for s := 0; s < n-h; s++ {
|
||||
i := (s + h) / 8
|
||||
j := (s + h) % 8
|
||||
bit := uint((k[i] >> uint(j)) & 1)
|
||||
copy(w[0][:], tableGenerator[s*Size:(s+1)*Size])
|
||||
diffAdd(&w, swap^bit)
|
||||
swap = bit
|
||||
}
|
||||
for s := 0; s < h; s++ {
|
||||
double(&w[1], &w[2])
|
||||
}
|
||||
toAffine((*[fp.Size]byte)(k), &w[1], &w[2])
|
||||
}
|
||||
|
||||
// ladderMontgomery calculates a generic scalar point multiplication
|
||||
// The algorithm implemented is the left-to-right Montgomery's ladder.
|
||||
func ladderMontgomery(k, xP *Key) {
|
||||
w := [5]fp.Elt{} // [x1, x2, z2, x3, z3] order must be preserved.
|
||||
w[0] = *(*fp.Elt)(xP) // x1 = xP
|
||||
fp.SetOne(&w[1]) // x2 = 1
|
||||
w[3] = *(*fp.Elt)(xP) // x3 = xP
|
||||
fp.SetOne(&w[4]) // z3 = 1
|
||||
|
||||
move := uint(0)
|
||||
for s := 255 - 1; s >= 0; s-- {
|
||||
i := s / 8
|
||||
j := s % 8
|
||||
bit := uint((k[i] >> uint(j)) & 1)
|
||||
ladderStep(&w, move^bit)
|
||||
move = bit
|
||||
}
|
||||
toAffine((*[fp.Size]byte)(k), &w[1], &w[2])
|
||||
}
|
||||
|
||||
func toAffine(k *[fp.Size]byte, x, z *fp.Elt) {
|
||||
fp.Inv(z, z)
|
||||
fp.Mul(x, x, z)
|
||||
_ = fp.ToBytes(k[:], x)
|
||||
}
|
||||
|
||||
var lowOrderPoints = [5]fp.Elt{
|
||||
{ /* (0,_,1) point of order 2 on Curve25519 */
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
},
|
||||
{ /* (1,_,1) point of order 4 on Curve25519 */
|
||||
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
},
|
||||
{ /* (x,_,1) first point of order 8 on Curve25519 */
|
||||
0xe0, 0xeb, 0x7a, 0x7c, 0x3b, 0x41, 0xb8, 0xae,
|
||||
0x16, 0x56, 0xe3, 0xfa, 0xf1, 0x9f, 0xc4, 0x6a,
|
||||
0xda, 0x09, 0x8d, 0xeb, 0x9c, 0x32, 0xb1, 0xfd,
|
||||
0x86, 0x62, 0x05, 0x16, 0x5f, 0x49, 0xb8, 0x00,
|
||||
},
|
||||
{ /* (x,_,1) second point of order 8 on Curve25519 */
|
||||
0x5f, 0x9c, 0x95, 0xbc, 0xa3, 0x50, 0x8c, 0x24,
|
||||
0xb1, 0xd0, 0xb1, 0x55, 0x9c, 0x83, 0xef, 0x5b,
|
||||
0x04, 0x44, 0x5c, 0xc4, 0x58, 0x1c, 0x8e, 0x86,
|
||||
0xd8, 0x22, 0x4e, 0xdd, 0xd0, 0x9f, 0x11, 0x57,
|
||||
},
|
||||
{ /* (-1,_,1) a point of order 4 on the twist of Curve25519 */
|
||||
0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f,
|
||||
},
|
||||
}
|
||||
30
vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.go
generated
vendored
30
vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.go
generated
vendored
@ -1,30 +0,0 @@
|
||||
//go:build amd64 && !purego
|
||||
// +build amd64,!purego
|
||||
|
||||
package x25519
|
||||
|
||||
import (
|
||||
fp "github.com/cloudflare/circl/math/fp25519"
|
||||
"golang.org/x/sys/cpu"
|
||||
)
|
||||
|
||||
var hasBmi2Adx = cpu.X86.HasBMI2 && cpu.X86.HasADX
|
||||
|
||||
var _ = hasBmi2Adx
|
||||
|
||||
func double(x, z *fp.Elt) { doubleAmd64(x, z) }
|
||||
func diffAdd(w *[5]fp.Elt, b uint) { diffAddAmd64(w, b) }
|
||||
func ladderStep(w *[5]fp.Elt, b uint) { ladderStepAmd64(w, b) }
|
||||
func mulA24(z, x *fp.Elt) { mulA24Amd64(z, x) }
|
||||
|
||||
//go:noescape
|
||||
func ladderStepAmd64(w *[5]fp.Elt, b uint)
|
||||
|
||||
//go:noescape
|
||||
func diffAddAmd64(w *[5]fp.Elt, b uint)
|
||||
|
||||
//go:noescape
|
||||
func doubleAmd64(x, z *fp.Elt)
|
||||
|
||||
//go:noescape
|
||||
func mulA24Amd64(z, x *fp.Elt)
|
||||
111
vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.h
generated
vendored
111
vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.h
generated
vendored
@ -1,111 +0,0 @@
|
||||
#define ladderStepLeg \
|
||||
addSub(x2,z2) \
|
||||
addSub(x3,z3) \
|
||||
integerMulLeg(b0,x2,z3) \
|
||||
integerMulLeg(b1,x3,z2) \
|
||||
reduceFromDoubleLeg(t0,b0) \
|
||||
reduceFromDoubleLeg(t1,b1) \
|
||||
addSub(t0,t1) \
|
||||
cselect(x2,x3,regMove) \
|
||||
cselect(z2,z3,regMove) \
|
||||
integerSqrLeg(b0,t0) \
|
||||
integerSqrLeg(b1,t1) \
|
||||
reduceFromDoubleLeg(x3,b0) \
|
||||
reduceFromDoubleLeg(z3,b1) \
|
||||
integerMulLeg(b0,x1,z3) \
|
||||
reduceFromDoubleLeg(z3,b0) \
|
||||
integerSqrLeg(b0,x2) \
|
||||
integerSqrLeg(b1,z2) \
|
||||
reduceFromDoubleLeg(x2,b0) \
|
||||
reduceFromDoubleLeg(z2,b1) \
|
||||
subtraction(t0,x2,z2) \
|
||||
multiplyA24Leg(t1,t0) \
|
||||
additionLeg(t1,t1,z2) \
|
||||
integerMulLeg(b0,x2,z2) \
|
||||
integerMulLeg(b1,t0,t1) \
|
||||
reduceFromDoubleLeg(x2,b0) \
|
||||
reduceFromDoubleLeg(z2,b1)
|
||||
|
||||
#define ladderStepBmi2Adx \
|
||||
addSub(x2,z2) \
|
||||
addSub(x3,z3) \
|
||||
integerMulAdx(b0,x2,z3) \
|
||||
integerMulAdx(b1,x3,z2) \
|
||||
reduceFromDoubleAdx(t0,b0) \
|
||||
reduceFromDoubleAdx(t1,b1) \
|
||||
addSub(t0,t1) \
|
||||
cselect(x2,x3,regMove) \
|
||||
cselect(z2,z3,regMove) \
|
||||
integerSqrAdx(b0,t0) \
|
||||
integerSqrAdx(b1,t1) \
|
||||
reduceFromDoubleAdx(x3,b0) \
|
||||
reduceFromDoubleAdx(z3,b1) \
|
||||
integerMulAdx(b0,x1,z3) \
|
||||
reduceFromDoubleAdx(z3,b0) \
|
||||
integerSqrAdx(b0,x2) \
|
||||
integerSqrAdx(b1,z2) \
|
||||
reduceFromDoubleAdx(x2,b0) \
|
||||
reduceFromDoubleAdx(z2,b1) \
|
||||
subtraction(t0,x2,z2) \
|
||||
multiplyA24Adx(t1,t0) \
|
||||
additionAdx(t1,t1,z2) \
|
||||
integerMulAdx(b0,x2,z2) \
|
||||
integerMulAdx(b1,t0,t1) \
|
||||
reduceFromDoubleAdx(x2,b0) \
|
||||
reduceFromDoubleAdx(z2,b1)
|
||||
|
||||
#define difAddLeg \
|
||||
addSub(x1,z1) \
|
||||
integerMulLeg(b0,z1,ui) \
|
||||
reduceFromDoubleLeg(z1,b0) \
|
||||
addSub(x1,z1) \
|
||||
integerSqrLeg(b0,x1) \
|
||||
integerSqrLeg(b1,z1) \
|
||||
reduceFromDoubleLeg(x1,b0) \
|
||||
reduceFromDoubleLeg(z1,b1) \
|
||||
integerMulLeg(b0,x1,z2) \
|
||||
integerMulLeg(b1,z1,x2) \
|
||||
reduceFromDoubleLeg(x1,b0) \
|
||||
reduceFromDoubleLeg(z1,b1)
|
||||
|
||||
#define difAddBmi2Adx \
|
||||
addSub(x1,z1) \
|
||||
integerMulAdx(b0,z1,ui) \
|
||||
reduceFromDoubleAdx(z1,b0) \
|
||||
addSub(x1,z1) \
|
||||
integerSqrAdx(b0,x1) \
|
||||
integerSqrAdx(b1,z1) \
|
||||
reduceFromDoubleAdx(x1,b0) \
|
||||
reduceFromDoubleAdx(z1,b1) \
|
||||
integerMulAdx(b0,x1,z2) \
|
||||
integerMulAdx(b1,z1,x2) \
|
||||
reduceFromDoubleAdx(x1,b0) \
|
||||
reduceFromDoubleAdx(z1,b1)
|
||||
|
||||
#define doubleLeg \
|
||||
addSub(x1,z1) \
|
||||
integerSqrLeg(b0,x1) \
|
||||
integerSqrLeg(b1,z1) \
|
||||
reduceFromDoubleLeg(x1,b0) \
|
||||
reduceFromDoubleLeg(z1,b1) \
|
||||
subtraction(t0,x1,z1) \
|
||||
multiplyA24Leg(t1,t0) \
|
||||
additionLeg(t1,t1,z1) \
|
||||
integerMulLeg(b0,x1,z1) \
|
||||
integerMulLeg(b1,t0,t1) \
|
||||
reduceFromDoubleLeg(x1,b0) \
|
||||
reduceFromDoubleLeg(z1,b1)
|
||||
|
||||
#define doubleBmi2Adx \
|
||||
addSub(x1,z1) \
|
||||
integerSqrAdx(b0,x1) \
|
||||
integerSqrAdx(b1,z1) \
|
||||
reduceFromDoubleAdx(x1,b0) \
|
||||
reduceFromDoubleAdx(z1,b1) \
|
||||
subtraction(t0,x1,z1) \
|
||||
multiplyA24Adx(t1,t0) \
|
||||
additionAdx(t1,t1,z1) \
|
||||
integerMulAdx(b0,x1,z1) \
|
||||
integerMulAdx(b1,t0,t1) \
|
||||
reduceFromDoubleAdx(x1,b0) \
|
||||
reduceFromDoubleAdx(z1,b1)
|
||||
156
vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.s
generated
vendored
156
vendor/github.com/cloudflare/circl/dh/x25519/curve_amd64.s
generated
vendored
@ -1,156 +0,0 @@
|
||||
// +build amd64
|
||||
|
||||
#include "textflag.h"
|
||||
|
||||
// Depends on circl/math/fp25519 package
|
||||
#include "../../math/fp25519/fp_amd64.h"
|
||||
#include "curve_amd64.h"
|
||||
|
||||
// CTE_A24 is (A+2)/4 from Curve25519
|
||||
#define CTE_A24 121666
|
||||
|
||||
#define Size 32
|
||||
|
||||
// multiplyA24Leg multiplies x times CTE_A24 and stores in z
|
||||
// Uses: AX, DX, R8-R13, FLAGS
|
||||
// Instr: x86_64, cmov
|
||||
#define multiplyA24Leg(z,x) \
|
||||
MOVL $CTE_A24, AX; MULQ 0+x; MOVQ AX, R8; MOVQ DX, R9; \
|
||||
MOVL $CTE_A24, AX; MULQ 8+x; MOVQ AX, R12; MOVQ DX, R10; \
|
||||
MOVL $CTE_A24, AX; MULQ 16+x; MOVQ AX, R13; MOVQ DX, R11; \
|
||||
MOVL $CTE_A24, AX; MULQ 24+x; \
|
||||
ADDQ R12, R9; \
|
||||
ADCQ R13, R10; \
|
||||
ADCQ AX, R11; \
|
||||
ADCQ $0, DX; \
|
||||
MOVL $38, AX; /* 2*C = 38 = 2^256 MOD 2^255-19*/ \
|
||||
IMULQ AX, DX; \
|
||||
ADDQ DX, R8; \
|
||||
ADCQ $0, R9; MOVQ R9, 8+z; \
|
||||
ADCQ $0, R10; MOVQ R10, 16+z; \
|
||||
ADCQ $0, R11; MOVQ R11, 24+z; \
|
||||
MOVQ $0, DX; \
|
||||
CMOVQCS AX, DX; \
|
||||
ADDQ DX, R8; MOVQ R8, 0+z;
|
||||
|
||||
// multiplyA24Adx multiplies x times CTE_A24 and stores in z
|
||||
// Uses: AX, DX, R8-R12, FLAGS
|
||||
// Instr: x86_64, cmov, bmi2
|
||||
#define multiplyA24Adx(z,x) \
|
||||
MOVQ $CTE_A24, DX; \
|
||||
MULXQ 0+x, R8, R10; \
|
||||
MULXQ 8+x, R9, R11; ADDQ R10, R9; \
|
||||
MULXQ 16+x, R10, AX; ADCQ R11, R10; \
|
||||
MULXQ 24+x, R11, R12; ADCQ AX, R11; \
|
||||
;;;;;;;;;;;;;;;;;;;;; ADCQ $0, R12; \
|
||||
MOVL $38, DX; /* 2*C = 38 = 2^256 MOD 2^255-19*/ \
|
||||
IMULQ DX, R12; \
|
||||
ADDQ R12, R8; \
|
||||
ADCQ $0, R9; MOVQ R9, 8+z; \
|
||||
ADCQ $0, R10; MOVQ R10, 16+z; \
|
||||
ADCQ $0, R11; MOVQ R11, 24+z; \
|
||||
MOVQ $0, R12; \
|
||||
CMOVQCS DX, R12; \
|
||||
ADDQ R12, R8; MOVQ R8, 0+z;
|
||||
|
||||
#define mulA24Legacy \
|
||||
multiplyA24Leg(0(DI),0(SI))
|
||||
#define mulA24Bmi2Adx \
|
||||
multiplyA24Adx(0(DI),0(SI))
|
||||
|
||||
// func mulA24Amd64(z, x *fp255.Elt)
|
||||
TEXT ·mulA24Amd64(SB),NOSPLIT,$0-16
|
||||
MOVQ z+0(FP), DI
|
||||
MOVQ x+8(FP), SI
|
||||
CHECK_BMI2ADX(LMA24, mulA24Legacy, mulA24Bmi2Adx)
|
||||
|
||||
|
||||
// func ladderStepAmd64(w *[5]fp255.Elt, b uint)
|
||||
// ladderStepAmd64 calculates a point addition and doubling as follows:
|
||||
// (x2,z2) = 2*(x2,z2) and (x3,z3) = (x2,z2)+(x3,z3) using as a difference (x1,-).
|
||||
// work = (x1,x2,z2,x3,z3) are five fp255.Elt of 32 bytes.
|
||||
// stack = (t0,t1) are two fp.Elt of fp.Size bytes, and
|
||||
// (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes.
|
||||
TEXT ·ladderStepAmd64(SB),NOSPLIT,$192-16
|
||||
// Parameters
|
||||
#define regWork DI
|
||||
#define regMove SI
|
||||
#define x1 0*Size(regWork)
|
||||
#define x2 1*Size(regWork)
|
||||
#define z2 2*Size(regWork)
|
||||
#define x3 3*Size(regWork)
|
||||
#define z3 4*Size(regWork)
|
||||
// Local variables
|
||||
#define t0 0*Size(SP)
|
||||
#define t1 1*Size(SP)
|
||||
#define b0 2*Size(SP)
|
||||
#define b1 4*Size(SP)
|
||||
MOVQ w+0(FP), regWork
|
||||
MOVQ b+8(FP), regMove
|
||||
CHECK_BMI2ADX(LLADSTEP, ladderStepLeg, ladderStepBmi2Adx)
|
||||
#undef regWork
|
||||
#undef regMove
|
||||
#undef x1
|
||||
#undef x2
|
||||
#undef z2
|
||||
#undef x3
|
||||
#undef z3
|
||||
#undef t0
|
||||
#undef t1
|
||||
#undef b0
|
||||
#undef b1
|
||||
|
||||
// func diffAddAmd64(w *[5]fp255.Elt, b uint)
|
||||
// diffAddAmd64 calculates a differential point addition using a precomputed point.
|
||||
// (x1,z1) = (x1,z1)+(mu) using a difference point (x2,z2)
|
||||
// w = (mu,x1,z1,x2,z2) are five fp.Elt, and
|
||||
// stack = (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes.
|
||||
TEXT ·diffAddAmd64(SB),NOSPLIT,$128-16
|
||||
// Parameters
|
||||
#define regWork DI
|
||||
#define regSwap SI
|
||||
#define ui 0*Size(regWork)
|
||||
#define x1 1*Size(regWork)
|
||||
#define z1 2*Size(regWork)
|
||||
#define x2 3*Size(regWork)
|
||||
#define z2 4*Size(regWork)
|
||||
// Local variables
|
||||
#define b0 0*Size(SP)
|
||||
#define b1 2*Size(SP)
|
||||
MOVQ w+0(FP), regWork
|
||||
MOVQ b+8(FP), regSwap
|
||||
cswap(x1,x2,regSwap)
|
||||
cswap(z1,z2,regSwap)
|
||||
CHECK_BMI2ADX(LDIFADD, difAddLeg, difAddBmi2Adx)
|
||||
#undef regWork
|
||||
#undef regSwap
|
||||
#undef ui
|
||||
#undef x1
|
||||
#undef z1
|
||||
#undef x2
|
||||
#undef z2
|
||||
#undef b0
|
||||
#undef b1
|
||||
|
||||
// func doubleAmd64(x, z *fp255.Elt)
|
||||
// doubleAmd64 calculates a point doubling (x1,z1) = 2*(x1,z1).
|
||||
// stack = (t0,t1) are two fp.Elt of fp.Size bytes, and
|
||||
// (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes.
|
||||
TEXT ·doubleAmd64(SB),NOSPLIT,$192-16
|
||||
// Parameters
|
||||
#define x1 0(DI)
|
||||
#define z1 0(SI)
|
||||
// Local variables
|
||||
#define t0 0*Size(SP)
|
||||
#define t1 1*Size(SP)
|
||||
#define b0 2*Size(SP)
|
||||
#define b1 4*Size(SP)
|
||||
MOVQ x+0(FP), DI
|
||||
MOVQ z+8(FP), SI
|
||||
CHECK_BMI2ADX(LDOUB,doubleLeg,doubleBmi2Adx)
|
||||
#undef x1
|
||||
#undef z1
|
||||
#undef t0
|
||||
#undef t1
|
||||
#undef b0
|
||||
#undef b1
|
||||
85
vendor/github.com/cloudflare/circl/dh/x25519/curve_generic.go
generated
vendored
85
vendor/github.com/cloudflare/circl/dh/x25519/curve_generic.go
generated
vendored
@ -1,85 +0,0 @@
|
||||
package x25519
|
||||
|
||||
import (
|
||||
"encoding/binary"
|
||||
"math/bits"
|
||||
|
||||
fp "github.com/cloudflare/circl/math/fp25519"
|
||||
)
|
||||
|
||||
func doubleGeneric(x, z *fp.Elt) {
|
||||
t0, t1 := &fp.Elt{}, &fp.Elt{}
|
||||
fp.AddSub(x, z)
|
||||
fp.Sqr(x, x)
|
||||
fp.Sqr(z, z)
|
||||
fp.Sub(t0, x, z)
|
||||
mulA24Generic(t1, t0)
|
||||
fp.Add(t1, t1, z)
|
||||
fp.Mul(x, x, z)
|
||||
fp.Mul(z, t0, t1)
|
||||
}
|
||||
|
||||
func diffAddGeneric(w *[5]fp.Elt, b uint) {
|
||||
mu, x1, z1, x2, z2 := &w[0], &w[1], &w[2], &w[3], &w[4]
|
||||
fp.Cswap(x1, x2, b)
|
||||
fp.Cswap(z1, z2, b)
|
||||
fp.AddSub(x1, z1)
|
||||
fp.Mul(z1, z1, mu)
|
||||
fp.AddSub(x1, z1)
|
||||
fp.Sqr(x1, x1)
|
||||
fp.Sqr(z1, z1)
|
||||
fp.Mul(x1, x1, z2)
|
||||
fp.Mul(z1, z1, x2)
|
||||
}
|
||||
|
||||
func ladderStepGeneric(w *[5]fp.Elt, b uint) {
|
||||
x1, x2, z2, x3, z3 := &w[0], &w[1], &w[2], &w[3], &w[4]
|
||||
t0 := &fp.Elt{}
|
||||
t1 := &fp.Elt{}
|
||||
fp.AddSub(x2, z2)
|
||||
fp.AddSub(x3, z3)
|
||||
fp.Mul(t0, x2, z3)
|
||||
fp.Mul(t1, x3, z2)
|
||||
fp.AddSub(t0, t1)
|
||||
fp.Cmov(x2, x3, b)
|
||||
fp.Cmov(z2, z3, b)
|
||||
fp.Sqr(x3, t0)
|
||||
fp.Sqr(z3, t1)
|
||||
fp.Mul(z3, x1, z3)
|
||||
fp.Sqr(x2, x2)
|
||||
fp.Sqr(z2, z2)
|
||||
fp.Sub(t0, x2, z2)
|
||||
mulA24Generic(t1, t0)
|
||||
fp.Add(t1, t1, z2)
|
||||
fp.Mul(x2, x2, z2)
|
||||
fp.Mul(z2, t0, t1)
|
||||
}
|
||||
|
||||
func mulA24Generic(z, x *fp.Elt) {
|
||||
const A24 = 121666
|
||||
const n = 8
|
||||
var xx [4]uint64
|
||||
for i := range xx {
|
||||
xx[i] = binary.LittleEndian.Uint64(x[i*n : (i+1)*n])
|
||||
}
|
||||
|
||||
h0, l0 := bits.Mul64(xx[0], A24)
|
||||
h1, l1 := bits.Mul64(xx[1], A24)
|
||||
h2, l2 := bits.Mul64(xx[2], A24)
|
||||
h3, l3 := bits.Mul64(xx[3], A24)
|
||||
|
||||
var c3 uint64
|
||||
l1, c0 := bits.Add64(h0, l1, 0)
|
||||
l2, c1 := bits.Add64(h1, l2, c0)
|
||||
l3, c2 := bits.Add64(h2, l3, c1)
|
||||
l4, _ := bits.Add64(h3, 0, c2)
|
||||
_, l4 = bits.Mul64(l4, 38)
|
||||
l0, c0 = bits.Add64(l0, l4, 0)
|
||||
xx[1], c1 = bits.Add64(l1, 0, c0)
|
||||
xx[2], c2 = bits.Add64(l2, 0, c1)
|
||||
xx[3], c3 = bits.Add64(l3, 0, c2)
|
||||
xx[0], _ = bits.Add64(l0, (-c3)&38, 0)
|
||||
for i := range xx {
|
||||
binary.LittleEndian.PutUint64(z[i*n:(i+1)*n], xx[i])
|
||||
}
|
||||
}
|
||||
11
vendor/github.com/cloudflare/circl/dh/x25519/curve_noasm.go
generated
vendored
11
vendor/github.com/cloudflare/circl/dh/x25519/curve_noasm.go
generated
vendored
@ -1,11 +0,0 @@
|
||||
//go:build !amd64 || purego
|
||||
// +build !amd64 purego
|
||||
|
||||
package x25519
|
||||
|
||||
import fp "github.com/cloudflare/circl/math/fp25519"
|
||||
|
||||
func double(x, z *fp.Elt) { doubleGeneric(x, z) }
|
||||
func diffAdd(w *[5]fp.Elt, b uint) { diffAddGeneric(w, b) }
|
||||
func ladderStep(w *[5]fp.Elt, b uint) { ladderStepGeneric(w, b) }
|
||||
func mulA24(z, x *fp.Elt) { mulA24Generic(z, x) }
|
||||
19
vendor/github.com/cloudflare/circl/dh/x25519/doc.go
generated
vendored
19
vendor/github.com/cloudflare/circl/dh/x25519/doc.go
generated
vendored
@ -1,19 +0,0 @@
|
||||
/*
|
||||
Package x25519 provides Diffie-Hellman functions as specified in RFC-7748.
|
||||
|
||||
Validation of public keys.
|
||||
|
||||
The Diffie-Hellman function, as described in RFC-7748 [1], works for any
|
||||
public key. However, if a different protocol requires contributory
|
||||
behaviour [2,3], then the public keys must be validated against low-order
|
||||
points [3,4]. To do that, the Shared function performs this validation
|
||||
internally and returns false when the public key is invalid (i.e., it
|
||||
is a low-order point).
|
||||
|
||||
References:
|
||||
- [1] RFC7748 by Langley, Hamburg, Turner (https://rfc-editor.org/rfc/rfc7748.txt)
|
||||
- [2] Curve25519 by Bernstein (https://cr.yp.to/ecdh.html)
|
||||
- [3] Bernstein (https://cr.yp.to/ecdh.html#validate)
|
||||
- [4] Cremers&Jackson (https://eprint.iacr.org/2019/526)
|
||||
*/
|
||||
package x25519
|
||||
47
vendor/github.com/cloudflare/circl/dh/x25519/key.go
generated
vendored
47
vendor/github.com/cloudflare/circl/dh/x25519/key.go
generated
vendored
@ -1,47 +0,0 @@
|
||||
package x25519
|
||||
|
||||
import (
|
||||
"crypto/subtle"
|
||||
|
||||
fp "github.com/cloudflare/circl/math/fp25519"
|
||||
)
|
||||
|
||||
// Size is the length in bytes of a X25519 key.
|
||||
const Size = 32
|
||||
|
||||
// Key represents a X25519 key.
|
||||
type Key [Size]byte
|
||||
|
||||
func (k *Key) clamp(in *Key) *Key {
|
||||
*k = *in
|
||||
k[0] &= 248
|
||||
k[31] = (k[31] & 127) | 64
|
||||
return k
|
||||
}
|
||||
|
||||
// isValidPubKey verifies if the public key is not a low-order point.
|
||||
func (k *Key) isValidPubKey() bool {
|
||||
fp.Modp((*fp.Elt)(k))
|
||||
var isLowOrder int
|
||||
for _, P := range lowOrderPoints {
|
||||
isLowOrder |= subtle.ConstantTimeCompare(P[:], k[:])
|
||||
}
|
||||
return isLowOrder == 0
|
||||
}
|
||||
|
||||
// KeyGen obtains a public key given a secret key.
|
||||
func KeyGen(public, secret *Key) {
|
||||
ladderJoye(public.clamp(secret))
|
||||
}
|
||||
|
||||
// Shared calculates Alice's shared key from Alice's secret key and Bob's
|
||||
// public key returning true on success. A failure case happens when the public
|
||||
// key is a low-order point, thus the shared key is all-zeros and the function
|
||||
// returns false.
|
||||
func Shared(shared, secret, public *Key) bool {
|
||||
validPk := *public
|
||||
validPk[31] &= (1 << (255 % 8)) - 1
|
||||
ok := validPk.isValidPubKey()
|
||||
ladderMontgomery(shared.clamp(secret), &validPk)
|
||||
return ok
|
||||
}
|
||||
268
vendor/github.com/cloudflare/circl/dh/x25519/table.go
generated
vendored
268
vendor/github.com/cloudflare/circl/dh/x25519/table.go
generated
vendored
@ -1,268 +0,0 @@
|
||||
package x25519
|
||||
|
||||
import "github.com/cloudflare/circl/math/fp25519"
|
||||
|
||||
// tableGenerator contains the set of points:
|
||||
//
|
||||
// t[i] = (xi+1)/(xi-1),
|
||||
//
|
||||
// where (xi,yi) = 2^iG and G is the generator point
|
||||
// Size = (256)*(256/8) = 8192 bytes.
|
||||
var tableGenerator = [256 * fp25519.Size]byte{
|
||||
/* (2^ 0)P */ 0xf3, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x5f,
|
||||
/* (2^ 1)P */ 0x96, 0xfe, 0xaa, 0x16, 0xf4, 0x20, 0x82, 0x6b, 0x34, 0x6a, 0x56, 0x4f, 0x2b, 0xeb, 0xeb, 0x82, 0x0f, 0x95, 0xa5, 0x75, 0xb0, 0xa5, 0xa9, 0xd5, 0xf4, 0x88, 0x24, 0x4b, 0xcf, 0xb2, 0x42, 0x51,
|
||||
/* (2^ 2)P */ 0x0c, 0x68, 0x69, 0x00, 0x75, 0xbc, 0xae, 0x6a, 0x41, 0x9c, 0xf9, 0xa0, 0x20, 0x78, 0xcf, 0x89, 0xf4, 0xd0, 0x56, 0x3b, 0x18, 0xd9, 0x58, 0x2a, 0xa4, 0x11, 0x60, 0xe3, 0x80, 0xca, 0x5a, 0x4b,
|
||||
/* (2^ 3)P */ 0x5d, 0x74, 0x29, 0x8c, 0x34, 0x32, 0x91, 0x32, 0xd7, 0x2f, 0x64, 0xe1, 0x16, 0xe6, 0xa2, 0xf4, 0x34, 0xbc, 0x67, 0xff, 0x03, 0xbb, 0x45, 0x1e, 0x4a, 0x9b, 0x2a, 0xf4, 0xd0, 0x12, 0x69, 0x30,
|
||||
/* (2^ 4)P */ 0x54, 0x71, 0xaf, 0xe6, 0x07, 0x65, 0x88, 0xff, 0x2f, 0xc8, 0xee, 0xdf, 0x13, 0x0e, 0xf5, 0x04, 0xce, 0xb5, 0xba, 0x2a, 0xe8, 0x2f, 0x51, 0xaa, 0x22, 0xf2, 0xd5, 0x68, 0x1a, 0x25, 0x4e, 0x17,
|
||||
/* (2^ 5)P */ 0x98, 0x88, 0x02, 0x82, 0x0d, 0x70, 0x96, 0xcf, 0xc5, 0x02, 0x2c, 0x0a, 0x37, 0xe3, 0x43, 0x17, 0xaa, 0x6e, 0xe8, 0xb4, 0x98, 0xec, 0x9e, 0x37, 0x2e, 0x48, 0xe0, 0x51, 0x8a, 0x88, 0x59, 0x0c,
|
||||
/* (2^ 6)P */ 0x89, 0xd1, 0xb5, 0x99, 0xd6, 0xf1, 0xcb, 0xfb, 0x84, 0xdc, 0x9f, 0x8e, 0xd5, 0xf0, 0xae, 0xac, 0x14, 0x76, 0x1f, 0x23, 0x06, 0x0d, 0xc2, 0xc1, 0x72, 0xf9, 0x74, 0xa2, 0x8d, 0x21, 0x38, 0x29,
|
||||
/* (2^ 7)P */ 0x18, 0x7f, 0x1d, 0xff, 0xbe, 0x49, 0xaf, 0xf6, 0xc2, 0xc9, 0x7a, 0x38, 0x22, 0x1c, 0x54, 0xcc, 0x6b, 0xc5, 0x15, 0x40, 0xef, 0xc9, 0xfc, 0x96, 0xa9, 0x13, 0x09, 0x69, 0x7c, 0x62, 0xc1, 0x69,
|
||||
/* (2^ 8)P */ 0x0e, 0xdb, 0x33, 0x47, 0x2f, 0xfd, 0x86, 0x7a, 0xe9, 0x7d, 0x08, 0x9e, 0xf2, 0xc4, 0xb8, 0xfd, 0x29, 0xa2, 0xa2, 0x8e, 0x1a, 0x4b, 0x5e, 0x09, 0x79, 0x7a, 0xb3, 0x29, 0xc8, 0xa7, 0xd7, 0x1a,
|
||||
/* (2^ 9)P */ 0xc0, 0xa0, 0x7e, 0xd1, 0xca, 0x89, 0x2d, 0x34, 0x51, 0x20, 0xed, 0xcc, 0xa6, 0xdd, 0xbe, 0x67, 0x74, 0x2f, 0xb4, 0x2b, 0xbf, 0x31, 0xca, 0x19, 0xbb, 0xac, 0x80, 0x49, 0xc8, 0xb4, 0xf7, 0x3d,
|
||||
/* (2^ 10)P */ 0x83, 0xd8, 0x0a, 0xc8, 0x4d, 0x44, 0xc6, 0xa8, 0x85, 0xab, 0xe3, 0x66, 0x03, 0x44, 0x1e, 0xb9, 0xd8, 0xf6, 0x64, 0x01, 0xa0, 0xcd, 0x15, 0xc2, 0x68, 0xe6, 0x47, 0xf2, 0x6e, 0x7c, 0x86, 0x3d,
|
||||
/* (2^ 11)P */ 0x8c, 0x65, 0x3e, 0xcc, 0x2b, 0x58, 0xdd, 0xc7, 0x28, 0x55, 0x0e, 0xee, 0x48, 0x47, 0x2c, 0xfd, 0x71, 0x4f, 0x9f, 0xcc, 0x95, 0x9b, 0xfd, 0xa0, 0xdf, 0x5d, 0x67, 0xb0, 0x71, 0xd8, 0x29, 0x75,
|
||||
/* (2^ 12)P */ 0x78, 0xbd, 0x3c, 0x2d, 0xb4, 0x68, 0xf5, 0xb8, 0x82, 0xda, 0xf3, 0x91, 0x1b, 0x01, 0x33, 0x12, 0x62, 0x3b, 0x7c, 0x4a, 0xcd, 0x6c, 0xce, 0x2d, 0x03, 0x86, 0x49, 0x9e, 0x8e, 0xfc, 0xe7, 0x75,
|
||||
/* (2^ 13)P */ 0xec, 0xb6, 0xd0, 0xfc, 0xf1, 0x13, 0x4f, 0x2f, 0x45, 0x7a, 0xff, 0x29, 0x1f, 0xca, 0xa8, 0xf1, 0x9b, 0xe2, 0x81, 0x29, 0xa7, 0xc1, 0x49, 0xc2, 0x6a, 0xb5, 0x83, 0x8c, 0xbb, 0x0d, 0xbe, 0x6e,
|
||||
/* (2^ 14)P */ 0x22, 0xb2, 0x0b, 0x17, 0x8d, 0xfa, 0x14, 0x71, 0x5f, 0x93, 0x93, 0xbf, 0xd5, 0xdc, 0xa2, 0x65, 0x9a, 0x97, 0x9c, 0xb5, 0x68, 0x1f, 0xc4, 0xbd, 0x89, 0x92, 0xce, 0xa2, 0x79, 0xef, 0x0e, 0x2f,
|
||||
/* (2^ 15)P */ 0xce, 0x37, 0x3c, 0x08, 0x0c, 0xbf, 0xec, 0x42, 0x22, 0x63, 0x49, 0xec, 0x09, 0xbc, 0x30, 0x29, 0x0d, 0xac, 0xfe, 0x9c, 0xc1, 0xb0, 0x94, 0xf2, 0x80, 0xbb, 0xfa, 0xed, 0x4b, 0xaa, 0x80, 0x37,
|
||||
/* (2^ 16)P */ 0x29, 0xd9, 0xea, 0x7c, 0x3e, 0x7d, 0xc1, 0x56, 0xc5, 0x22, 0x57, 0x2e, 0xeb, 0x4b, 0xcb, 0xe7, 0x5a, 0xe1, 0xbf, 0x2d, 0x73, 0x31, 0xe9, 0x0c, 0xf8, 0x52, 0x10, 0x62, 0xc7, 0x83, 0xb8, 0x41,
|
||||
/* (2^ 17)P */ 0x50, 0x53, 0xd2, 0xc3, 0xa0, 0x5c, 0xf7, 0xdb, 0x51, 0xe3, 0xb1, 0x6e, 0x08, 0xbe, 0x36, 0x29, 0x12, 0xb2, 0xa9, 0xb4, 0x3c, 0xe0, 0x36, 0xc9, 0xaa, 0x25, 0x22, 0x32, 0x82, 0xbf, 0x45, 0x1d,
|
||||
/* (2^ 18)P */ 0xc5, 0x4c, 0x02, 0x6a, 0x03, 0xb1, 0x1a, 0xe8, 0x72, 0x9a, 0x4c, 0x30, 0x1c, 0x20, 0x12, 0xe2, 0xfc, 0xb1, 0x32, 0x68, 0xba, 0x3f, 0xd7, 0xc5, 0x81, 0x95, 0x83, 0x4d, 0x5a, 0xdb, 0xff, 0x20,
|
||||
/* (2^ 19)P */ 0xad, 0x0f, 0x5d, 0xbe, 0x67, 0xd3, 0x83, 0xa2, 0x75, 0x44, 0x16, 0x8b, 0xca, 0x25, 0x2b, 0x6c, 0x2e, 0xf2, 0xaa, 0x7c, 0x46, 0x35, 0x49, 0x9d, 0x49, 0xff, 0x85, 0xee, 0x8e, 0x40, 0x66, 0x51,
|
||||
/* (2^ 20)P */ 0x61, 0xe3, 0xb4, 0xfa, 0xa2, 0xba, 0x67, 0x3c, 0xef, 0x5c, 0xf3, 0x7e, 0xc6, 0x33, 0xe4, 0xb3, 0x1c, 0x9b, 0x15, 0x41, 0x92, 0x72, 0x59, 0x52, 0x33, 0xab, 0xb0, 0xd5, 0x92, 0x18, 0x62, 0x6a,
|
||||
/* (2^ 21)P */ 0xcb, 0xcd, 0x55, 0x75, 0x38, 0x4a, 0xb7, 0x20, 0x3f, 0x92, 0x08, 0x12, 0x0e, 0xa1, 0x2a, 0x53, 0xd1, 0x1d, 0x28, 0x62, 0x77, 0x7b, 0xa1, 0xea, 0xbf, 0x44, 0x5c, 0xf0, 0x43, 0x34, 0xab, 0x61,
|
||||
/* (2^ 22)P */ 0xf8, 0xde, 0x24, 0x23, 0x42, 0x6c, 0x7a, 0x25, 0x7f, 0xcf, 0xe3, 0x17, 0x10, 0x6c, 0x1c, 0x13, 0x57, 0xa2, 0x30, 0xf6, 0x39, 0x87, 0x75, 0x23, 0x80, 0x85, 0xa7, 0x01, 0x7a, 0x40, 0x5a, 0x29,
|
||||
/* (2^ 23)P */ 0xd9, 0xa8, 0x5d, 0x6d, 0x24, 0x43, 0xc4, 0xf8, 0x5d, 0xfa, 0x52, 0x0c, 0x45, 0x75, 0xd7, 0x19, 0x3d, 0xf8, 0x1b, 0x73, 0x92, 0xfc, 0xfc, 0x2a, 0x00, 0x47, 0x2b, 0x1b, 0xe8, 0xc8, 0x10, 0x7d,
|
||||
/* (2^ 24)P */ 0x0b, 0xa2, 0xba, 0x70, 0x1f, 0x27, 0xe0, 0xc8, 0x57, 0x39, 0xa6, 0x7c, 0x86, 0x48, 0x37, 0x99, 0xbb, 0xd4, 0x7e, 0xcb, 0xb3, 0xef, 0x12, 0x54, 0x75, 0x29, 0xe6, 0x73, 0x61, 0xd3, 0x96, 0x31,
|
||||
/* (2^ 25)P */ 0xfc, 0xdf, 0xc7, 0x41, 0xd1, 0xca, 0x5b, 0xde, 0x48, 0xc8, 0x95, 0xb3, 0xd2, 0x8c, 0xcc, 0x47, 0xcb, 0xf3, 0x1a, 0xe1, 0x42, 0xd9, 0x4c, 0xa3, 0xc2, 0xce, 0x4e, 0xd0, 0xf2, 0xdb, 0x56, 0x02,
|
||||
/* (2^ 26)P */ 0x7f, 0x66, 0x0e, 0x4b, 0xe9, 0xb7, 0x5a, 0x87, 0x10, 0x0d, 0x85, 0xc0, 0x83, 0xdd, 0xd4, 0xca, 0x9f, 0xc7, 0x72, 0x4e, 0x8f, 0x2e, 0xf1, 0x47, 0x9b, 0xb1, 0x85, 0x8c, 0xbb, 0x87, 0x1a, 0x5f,
|
||||
/* (2^ 27)P */ 0xb8, 0x51, 0x7f, 0x43, 0xb6, 0xd0, 0xe9, 0x7a, 0x65, 0x90, 0x87, 0x18, 0x55, 0xce, 0xc7, 0x12, 0xee, 0x7a, 0xf7, 0x5c, 0xfe, 0x09, 0xde, 0x2a, 0x27, 0x56, 0x2c, 0x7d, 0x2f, 0x5a, 0xa0, 0x23,
|
||||
/* (2^ 28)P */ 0x9a, 0x16, 0x7c, 0xf1, 0x28, 0xe1, 0x08, 0x59, 0x2d, 0x85, 0xd0, 0x8a, 0xdd, 0x98, 0x74, 0xf7, 0x64, 0x2f, 0x10, 0xab, 0xce, 0xc4, 0xb4, 0x74, 0x45, 0x98, 0x13, 0x10, 0xdd, 0xba, 0x3a, 0x18,
|
||||
/* (2^ 29)P */ 0xac, 0xaa, 0x92, 0xaa, 0x8d, 0xba, 0x65, 0xb1, 0x05, 0x67, 0x38, 0x99, 0x95, 0xef, 0xc5, 0xd5, 0xd1, 0x40, 0xfc, 0xf8, 0x0c, 0x8f, 0x2f, 0xbe, 0x14, 0x45, 0x20, 0xee, 0x35, 0xe6, 0x01, 0x27,
|
||||
/* (2^ 30)P */ 0x14, 0x65, 0x15, 0x20, 0x00, 0xa8, 0x9f, 0x62, 0xce, 0xc1, 0xa8, 0x64, 0x87, 0x86, 0x23, 0xf2, 0x0e, 0x06, 0x3f, 0x0b, 0xff, 0x4f, 0x89, 0x5b, 0xfa, 0xa3, 0x08, 0xf7, 0x4c, 0x94, 0xd9, 0x60,
|
||||
/* (2^ 31)P */ 0x1f, 0x20, 0x7a, 0x1c, 0x1a, 0x00, 0xea, 0xae, 0x63, 0xce, 0xe2, 0x3e, 0x63, 0x6a, 0xf1, 0xeb, 0xe1, 0x07, 0x7a, 0x4c, 0x59, 0x09, 0x77, 0x6f, 0xcb, 0x08, 0x02, 0x0d, 0x15, 0x58, 0xb9, 0x79,
|
||||
/* (2^ 32)P */ 0xe7, 0x10, 0xd4, 0x01, 0x53, 0x5e, 0xb5, 0x24, 0x4d, 0xc8, 0xfd, 0xf3, 0xdf, 0x4e, 0xa3, 0xe3, 0xd8, 0x32, 0x40, 0x90, 0xe4, 0x68, 0x87, 0xd8, 0xec, 0xae, 0x3a, 0x7b, 0x42, 0x84, 0x13, 0x13,
|
||||
/* (2^ 33)P */ 0x14, 0x4f, 0x23, 0x86, 0x12, 0xe5, 0x05, 0x84, 0x29, 0xc5, 0xb4, 0xad, 0x39, 0x47, 0xdc, 0x14, 0xfd, 0x4f, 0x63, 0x50, 0xb2, 0xb5, 0xa2, 0xb8, 0x93, 0xff, 0xa7, 0xd8, 0x4a, 0xa9, 0xe2, 0x2f,
|
||||
/* (2^ 34)P */ 0xdd, 0xfa, 0x43, 0xe8, 0xef, 0x57, 0x5c, 0xec, 0x18, 0x99, 0xbb, 0xf0, 0x40, 0xce, 0x43, 0x28, 0x05, 0x63, 0x3d, 0xcf, 0xd6, 0x61, 0xb5, 0xa4, 0x7e, 0x77, 0xfb, 0xe8, 0xbd, 0x29, 0x36, 0x74,
|
||||
/* (2^ 35)P */ 0x8f, 0x73, 0xaf, 0xbb, 0x46, 0xdd, 0x3e, 0x34, 0x51, 0xa6, 0x01, 0xb1, 0x28, 0x18, 0x98, 0xed, 0x7a, 0x79, 0x2c, 0x88, 0x0b, 0x76, 0x01, 0xa4, 0x30, 0x87, 0xc8, 0x8d, 0xe2, 0x23, 0xc2, 0x1f,
|
||||
/* (2^ 36)P */ 0x0e, 0xba, 0x0f, 0xfc, 0x91, 0x4e, 0x60, 0x48, 0xa4, 0x6f, 0x2c, 0x05, 0x8f, 0xf7, 0x37, 0xb6, 0x9c, 0x23, 0xe9, 0x09, 0x3d, 0xac, 0xcc, 0x91, 0x7c, 0x68, 0x7a, 0x43, 0xd4, 0xee, 0xf7, 0x23,
|
||||
/* (2^ 37)P */ 0x00, 0xd8, 0x9b, 0x8d, 0x11, 0xb1, 0x73, 0x51, 0xa7, 0xd4, 0x89, 0x31, 0xb6, 0x41, 0xd6, 0x29, 0x86, 0xc5, 0xbb, 0x88, 0x79, 0x17, 0xbf, 0xfd, 0xf5, 0x1d, 0xd8, 0xca, 0x4f, 0x89, 0x59, 0x29,
|
||||
/* (2^ 38)P */ 0x99, 0xc8, 0xbb, 0xb4, 0xf3, 0x8e, 0xbc, 0xae, 0xb9, 0x92, 0x69, 0xb2, 0x5a, 0x99, 0x48, 0x41, 0xfb, 0x2c, 0xf9, 0x34, 0x01, 0x0b, 0xe2, 0x24, 0xe8, 0xde, 0x05, 0x4a, 0x89, 0x58, 0xd1, 0x40,
|
||||
/* (2^ 39)P */ 0xf6, 0x76, 0xaf, 0x85, 0x11, 0x0b, 0xb0, 0x46, 0x79, 0x7a, 0x18, 0x73, 0x78, 0xc7, 0xba, 0x26, 0x5f, 0xff, 0x8f, 0xab, 0x95, 0xbf, 0xc0, 0x3d, 0xd7, 0x24, 0x55, 0x94, 0xd8, 0x8b, 0x60, 0x2a,
|
||||
/* (2^ 40)P */ 0x02, 0x63, 0x44, 0xbd, 0x88, 0x95, 0x44, 0x26, 0x9c, 0x43, 0x88, 0x03, 0x1c, 0xc2, 0x4b, 0x7c, 0xb2, 0x11, 0xbd, 0x83, 0xf3, 0xa4, 0x98, 0x8e, 0xb9, 0x76, 0xd8, 0xc9, 0x7b, 0x8d, 0x21, 0x26,
|
||||
/* (2^ 41)P */ 0x8a, 0x17, 0x7c, 0x99, 0x42, 0x15, 0x08, 0xe3, 0x6f, 0x60, 0xb6, 0x6f, 0xa8, 0x29, 0x2d, 0x3c, 0x74, 0x93, 0x27, 0xfa, 0x36, 0x77, 0x21, 0x5c, 0xfa, 0xb1, 0xfe, 0x4a, 0x73, 0x05, 0xde, 0x7d,
|
||||
/* (2^ 42)P */ 0xab, 0x2b, 0xd4, 0x06, 0x39, 0x0e, 0xf1, 0x3b, 0x9c, 0x64, 0x80, 0x19, 0x3e, 0x80, 0xf7, 0xe4, 0x7a, 0xbf, 0x95, 0x95, 0xf8, 0x3b, 0x05, 0xe6, 0x30, 0x55, 0x24, 0xda, 0x38, 0xaf, 0x4f, 0x39,
|
||||
/* (2^ 43)P */ 0xf4, 0x28, 0x69, 0x89, 0x58, 0xfb, 0x8e, 0x7a, 0x3c, 0x11, 0x6a, 0xcc, 0xe9, 0x78, 0xc7, 0xfb, 0x6f, 0x59, 0xaf, 0x30, 0xe3, 0x0c, 0x67, 0x72, 0xf7, 0x6c, 0x3d, 0x1d, 0xa8, 0x22, 0xf2, 0x48,
|
||||
/* (2^ 44)P */ 0xa7, 0xca, 0x72, 0x0d, 0x41, 0xce, 0x1f, 0xf0, 0x95, 0x55, 0x3b, 0x21, 0xc7, 0xec, 0x20, 0x5a, 0x83, 0x14, 0xfa, 0xc1, 0x65, 0x11, 0xc2, 0x7b, 0x41, 0xa7, 0xa8, 0x1d, 0xe3, 0x9a, 0xf8, 0x07,
|
||||
/* (2^ 45)P */ 0xf9, 0x0f, 0x83, 0xc6, 0xb4, 0xc2, 0xd2, 0x05, 0x93, 0x62, 0x31, 0xc6, 0x0f, 0x33, 0x3e, 0xd4, 0x04, 0xa9, 0xd3, 0x96, 0x0a, 0x59, 0xa5, 0xa5, 0xb6, 0x33, 0x53, 0xa6, 0x91, 0xdb, 0x5e, 0x70,
|
||||
/* (2^ 46)P */ 0xf7, 0xa5, 0xb9, 0x0b, 0x5e, 0xe1, 0x8e, 0x04, 0x5d, 0xaf, 0x0a, 0x9e, 0xca, 0xcf, 0x40, 0x32, 0x0b, 0xa4, 0xc4, 0xed, 0xce, 0x71, 0x4b, 0x8f, 0x6d, 0x4a, 0x54, 0xde, 0xa3, 0x0d, 0x1c, 0x62,
|
||||
/* (2^ 47)P */ 0x91, 0x40, 0x8c, 0xa0, 0x36, 0x28, 0x87, 0x92, 0x45, 0x14, 0xc9, 0x10, 0xb0, 0x75, 0x83, 0xce, 0x94, 0x63, 0x27, 0x4f, 0x52, 0xeb, 0x72, 0x8a, 0x35, 0x36, 0xc8, 0x7e, 0xfa, 0xfc, 0x67, 0x26,
|
||||
/* (2^ 48)P */ 0x2a, 0x75, 0xe8, 0x45, 0x33, 0x17, 0x4c, 0x7f, 0xa5, 0x79, 0x70, 0xee, 0xfe, 0x47, 0x1b, 0x06, 0x34, 0xff, 0x86, 0x9f, 0xfa, 0x9a, 0xdd, 0x25, 0x9c, 0xc8, 0x5d, 0x42, 0xf5, 0xce, 0x80, 0x37,
|
||||
/* (2^ 49)P */ 0xe9, 0xb4, 0x3b, 0x51, 0x5a, 0x03, 0x46, 0x1a, 0xda, 0x5a, 0x57, 0xac, 0x79, 0xf3, 0x1e, 0x3e, 0x50, 0x4b, 0xa2, 0x5f, 0x1c, 0x5f, 0x8c, 0xc7, 0x22, 0x9f, 0xfd, 0x34, 0x76, 0x96, 0x1a, 0x32,
|
||||
/* (2^ 50)P */ 0xfa, 0x27, 0x6e, 0x82, 0xb8, 0x07, 0x67, 0x94, 0xd0, 0x6f, 0x50, 0x4c, 0xd6, 0x84, 0xca, 0x3d, 0x36, 0x14, 0xe9, 0x75, 0x80, 0x21, 0x89, 0xc1, 0x84, 0x84, 0x3b, 0x9b, 0x16, 0x84, 0x92, 0x6d,
|
||||
/* (2^ 51)P */ 0xdf, 0x2d, 0x3f, 0x38, 0x40, 0xe8, 0x67, 0x3a, 0x75, 0x9b, 0x4f, 0x0c, 0xa3, 0xc9, 0xee, 0x33, 0x47, 0xef, 0x83, 0xa7, 0x6f, 0xc8, 0xc7, 0x3e, 0xc4, 0xfb, 0xc9, 0xba, 0x9f, 0x44, 0xec, 0x26,
|
||||
/* (2^ 52)P */ 0x7d, 0x9e, 0x9b, 0xa0, 0xcb, 0x38, 0x0f, 0x5c, 0x8c, 0x47, 0xa3, 0x62, 0xc7, 0x8c, 0x16, 0x81, 0x1c, 0x12, 0xfc, 0x06, 0xd3, 0xb0, 0x23, 0x3e, 0xdd, 0xdc, 0xef, 0xa5, 0xa0, 0x8a, 0x23, 0x5a,
|
||||
/* (2^ 53)P */ 0xff, 0x43, 0xea, 0xc4, 0x21, 0x61, 0xa2, 0x1b, 0xb5, 0x32, 0x88, 0x7c, 0x7f, 0xc7, 0xf8, 0x36, 0x9a, 0xf9, 0xdc, 0x0a, 0x0b, 0xea, 0xfb, 0x88, 0xf9, 0xeb, 0x5b, 0xc2, 0x8e, 0x93, 0xa9, 0x5c,
|
||||
/* (2^ 54)P */ 0xa0, 0xcd, 0xfc, 0x51, 0x5e, 0x6a, 0x43, 0xd5, 0x3b, 0x89, 0xcd, 0xc2, 0x97, 0x47, 0xbc, 0x1d, 0x08, 0x4a, 0x22, 0xd3, 0x65, 0x6a, 0x34, 0x19, 0x66, 0xf4, 0x9a, 0x9b, 0xe4, 0x34, 0x50, 0x0f,
|
||||
/* (2^ 55)P */ 0x6e, 0xb9, 0xe0, 0xa1, 0x67, 0x39, 0x3c, 0xf2, 0x88, 0x4d, 0x7a, 0x86, 0xfa, 0x08, 0x8b, 0xe5, 0x79, 0x16, 0x34, 0xa7, 0xc6, 0xab, 0x2f, 0xfb, 0x46, 0x69, 0x02, 0xb6, 0x1e, 0x38, 0x75, 0x2a,
|
||||
/* (2^ 56)P */ 0xac, 0x20, 0x94, 0xc1, 0xe4, 0x3b, 0x0a, 0xc8, 0xdc, 0xb6, 0xf2, 0x81, 0xc6, 0xf6, 0xb1, 0x66, 0x88, 0x33, 0xe9, 0x61, 0x67, 0x03, 0xf7, 0x7c, 0xc4, 0xa4, 0x60, 0xa6, 0xd8, 0xbb, 0xab, 0x25,
|
||||
/* (2^ 57)P */ 0x98, 0x51, 0xfd, 0x14, 0xba, 0x12, 0xea, 0x91, 0xa9, 0xff, 0x3c, 0x4a, 0xfc, 0x50, 0x49, 0x68, 0x28, 0xad, 0xf5, 0x30, 0x21, 0x84, 0x26, 0xf8, 0x41, 0xa4, 0x01, 0x53, 0xf7, 0x88, 0xa9, 0x3e,
|
||||
/* (2^ 58)P */ 0x6f, 0x8c, 0x5f, 0x69, 0x9a, 0x10, 0x78, 0xc9, 0xf3, 0xc3, 0x30, 0x05, 0x4a, 0xeb, 0x46, 0x17, 0x95, 0x99, 0x45, 0xb4, 0x77, 0x6d, 0x4d, 0x44, 0xc7, 0x5c, 0x4e, 0x05, 0x8c, 0x2b, 0x95, 0x75,
|
||||
/* (2^ 59)P */ 0xaa, 0xd6, 0xf4, 0x15, 0x79, 0x3f, 0x70, 0xa3, 0xd8, 0x47, 0x26, 0x2f, 0x20, 0x46, 0xc3, 0x66, 0x4b, 0x64, 0x1d, 0x81, 0xdf, 0x69, 0x14, 0xd0, 0x1f, 0xd7, 0xa5, 0x81, 0x7d, 0xa4, 0xfe, 0x77,
|
||||
/* (2^ 60)P */ 0x81, 0xa3, 0x7c, 0xf5, 0x9e, 0x52, 0xe9, 0xc5, 0x1a, 0x88, 0x2f, 0xce, 0xb9, 0xb4, 0xee, 0x6e, 0xd6, 0x9b, 0x00, 0xe8, 0x28, 0x1a, 0xe9, 0xb6, 0xec, 0x3f, 0xfc, 0x9a, 0x3e, 0xbe, 0x80, 0x4b,
|
||||
/* (2^ 61)P */ 0xc5, 0xd2, 0xae, 0x26, 0xc5, 0x73, 0x37, 0x7e, 0x9d, 0xa4, 0xc9, 0x53, 0xb4, 0xfc, 0x4a, 0x1b, 0x4d, 0xb2, 0xff, 0xba, 0xd7, 0xbd, 0x20, 0xa9, 0x0e, 0x40, 0x2d, 0x12, 0x9f, 0x69, 0x54, 0x7c,
|
||||
/* (2^ 62)P */ 0xc8, 0x4b, 0xa9, 0x4f, 0xe1, 0xc8, 0x46, 0xef, 0x5e, 0xed, 0x52, 0x29, 0xce, 0x74, 0xb0, 0xe0, 0xd5, 0x85, 0xd8, 0xdb, 0xe1, 0x50, 0xa4, 0xbe, 0x2c, 0x71, 0x0f, 0x32, 0x49, 0x86, 0xb6, 0x61,
|
||||
/* (2^ 63)P */ 0xd1, 0xbd, 0xcc, 0x09, 0x73, 0x5f, 0x48, 0x8a, 0x2d, 0x1a, 0x4d, 0x7d, 0x0d, 0x32, 0x06, 0xbd, 0xf4, 0xbe, 0x2d, 0x32, 0x73, 0x29, 0x23, 0x25, 0x70, 0xf7, 0x17, 0x8c, 0x75, 0xc4, 0x5d, 0x44,
|
||||
/* (2^ 64)P */ 0x3c, 0x93, 0xc8, 0x7c, 0x17, 0x34, 0x04, 0xdb, 0x9f, 0x05, 0xea, 0x75, 0x21, 0xe8, 0x6f, 0xed, 0x34, 0xdb, 0x53, 0xc0, 0xfd, 0xbe, 0xfe, 0x1e, 0x99, 0xaf, 0x5d, 0xc6, 0x67, 0xe8, 0xdb, 0x4a,
|
||||
/* (2^ 65)P */ 0xdf, 0x09, 0x06, 0xa9, 0xa2, 0x71, 0xcd, 0x3a, 0x50, 0x40, 0xd0, 0x6d, 0x85, 0x91, 0xe9, 0xe5, 0x3c, 0xc2, 0x57, 0x81, 0x68, 0x9b, 0xc6, 0x1e, 0x4d, 0xfe, 0x5c, 0x88, 0xf6, 0x27, 0x74, 0x69,
|
||||
/* (2^ 66)P */ 0x51, 0xa8, 0xe1, 0x65, 0x9b, 0x7b, 0xbe, 0xd7, 0xdd, 0x36, 0xc5, 0x22, 0xd5, 0x28, 0x3d, 0xa0, 0x45, 0xb6, 0xd2, 0x8f, 0x65, 0x9d, 0x39, 0x28, 0xe1, 0x41, 0x26, 0x7c, 0xe1, 0xb7, 0xe5, 0x49,
|
||||
/* (2^ 67)P */ 0xa4, 0x57, 0x04, 0x70, 0x98, 0x3a, 0x8c, 0x6f, 0x78, 0x67, 0xbb, 0x5e, 0xa2, 0xf0, 0x78, 0x50, 0x0f, 0x96, 0x82, 0xc3, 0xcb, 0x3c, 0x3c, 0xd1, 0xb1, 0x84, 0xdf, 0xa7, 0x58, 0x32, 0x00, 0x2e,
|
||||
/* (2^ 68)P */ 0x1c, 0x6a, 0x29, 0xe6, 0x9b, 0xf3, 0xd1, 0x8a, 0xb2, 0xbf, 0x5f, 0x2a, 0x65, 0xaa, 0xee, 0xc1, 0xcb, 0xf3, 0x26, 0xfd, 0x73, 0x06, 0xee, 0x33, 0xcc, 0x2c, 0x9d, 0xa6, 0x73, 0x61, 0x25, 0x59,
|
||||
/* (2^ 69)P */ 0x41, 0xfc, 0x18, 0x4e, 0xaa, 0x07, 0xea, 0x41, 0x1e, 0xa5, 0x87, 0x7c, 0x52, 0x19, 0xfc, 0xd9, 0x6f, 0xca, 0x31, 0x58, 0x80, 0xcb, 0xaa, 0xbd, 0x4f, 0x69, 0x16, 0xc9, 0x2d, 0x65, 0x5b, 0x44,
|
||||
/* (2^ 70)P */ 0x15, 0x23, 0x17, 0xf2, 0xa7, 0xa3, 0x92, 0xce, 0x64, 0x99, 0x1b, 0xe1, 0x2d, 0x28, 0xdc, 0x1e, 0x4a, 0x31, 0x4c, 0xe0, 0xaf, 0x3a, 0x82, 0xa1, 0x86, 0xf5, 0x7c, 0x43, 0x94, 0x2d, 0x0a, 0x79,
|
||||
/* (2^ 71)P */ 0x09, 0xe0, 0xf6, 0x93, 0xfb, 0x47, 0xc4, 0x71, 0x76, 0x52, 0x84, 0x22, 0x67, 0xa5, 0x22, 0x89, 0x69, 0x51, 0x4f, 0x20, 0x3b, 0x90, 0x70, 0xbf, 0xfe, 0x19, 0xa3, 0x1b, 0x89, 0x89, 0x7a, 0x2f,
|
||||
/* (2^ 72)P */ 0x0c, 0x14, 0xe2, 0x77, 0xb5, 0x8e, 0xa0, 0x02, 0xf4, 0xdc, 0x7b, 0x42, 0xd4, 0x4e, 0x9a, 0xed, 0xd1, 0x3c, 0x32, 0xe4, 0x44, 0xec, 0x53, 0x52, 0x5b, 0x35, 0xe9, 0x14, 0x3c, 0x36, 0x88, 0x3e,
|
||||
/* (2^ 73)P */ 0x8c, 0x0b, 0x11, 0x77, 0x42, 0xc1, 0x66, 0xaa, 0x90, 0x33, 0xa2, 0x10, 0x16, 0x39, 0xe0, 0x1a, 0xa2, 0xc2, 0x3f, 0xc9, 0x12, 0xbd, 0x30, 0x20, 0xab, 0xc7, 0x55, 0x95, 0x57, 0x41, 0xe1, 0x3e,
|
||||
/* (2^ 74)P */ 0x41, 0x7d, 0x6e, 0x6d, 0x3a, 0xde, 0x14, 0x92, 0xfe, 0x7e, 0xf1, 0x07, 0x86, 0xd8, 0xcd, 0x3c, 0x17, 0x12, 0xe1, 0xf8, 0x88, 0x12, 0x4f, 0x67, 0xd0, 0x93, 0x9f, 0x32, 0x0f, 0x25, 0x82, 0x56,
|
||||
/* (2^ 75)P */ 0x6e, 0x39, 0x2e, 0x6d, 0x13, 0x0b, 0xf0, 0x6c, 0xbf, 0xde, 0x14, 0x10, 0x6f, 0xf8, 0x4c, 0x6e, 0x83, 0x4e, 0xcc, 0xbf, 0xb5, 0xb1, 0x30, 0x59, 0xb6, 0x16, 0xba, 0x8a, 0xb4, 0x69, 0x70, 0x04,
|
||||
/* (2^ 76)P */ 0x93, 0x07, 0xb2, 0x69, 0xab, 0xe4, 0x4c, 0x0d, 0x9e, 0xfb, 0xd0, 0x97, 0x1a, 0xb9, 0x4d, 0xb2, 0x1d, 0xd0, 0x00, 0x4e, 0xf5, 0x50, 0xfa, 0xcd, 0xb5, 0xdd, 0x8b, 0x36, 0x85, 0x10, 0x1b, 0x22,
|
||||
/* (2^ 77)P */ 0xd2, 0xd8, 0xe3, 0xb1, 0x68, 0x94, 0xe5, 0xe7, 0x93, 0x2f, 0x12, 0xbd, 0x63, 0x65, 0xc5, 0x53, 0x09, 0x3f, 0x66, 0xe0, 0x03, 0xa9, 0xe8, 0xee, 0x42, 0x3d, 0xbe, 0xcb, 0x62, 0xa6, 0xef, 0x61,
|
||||
/* (2^ 78)P */ 0x2a, 0xab, 0x6e, 0xde, 0xdd, 0xdd, 0xf8, 0x2c, 0x31, 0xf2, 0x35, 0x14, 0xd5, 0x0a, 0xf8, 0x9b, 0x73, 0x49, 0xf0, 0xc9, 0xce, 0xda, 0xea, 0x5d, 0x27, 0x9b, 0xd2, 0x41, 0x5d, 0x5b, 0x27, 0x29,
|
||||
/* (2^ 79)P */ 0x4f, 0xf1, 0xeb, 0x95, 0x08, 0x0f, 0xde, 0xcf, 0xa7, 0x05, 0x49, 0x05, 0x6b, 0xb9, 0xaa, 0xb9, 0xfd, 0x20, 0xc4, 0xa1, 0xd9, 0x0d, 0xe8, 0xca, 0xc7, 0xbb, 0x73, 0x16, 0x2f, 0xbf, 0x63, 0x0a,
|
||||
/* (2^ 80)P */ 0x8c, 0xbc, 0x8f, 0x95, 0x11, 0x6e, 0x2f, 0x09, 0xad, 0x2f, 0x82, 0x04, 0xe8, 0x81, 0x2a, 0x67, 0x17, 0x25, 0xd5, 0x60, 0x15, 0x35, 0xc8, 0xca, 0xf8, 0x92, 0xf1, 0xc8, 0x22, 0x77, 0x3f, 0x6f,
|
||||
/* (2^ 81)P */ 0xb7, 0x94, 0xe8, 0xc2, 0xcc, 0x90, 0xba, 0xf8, 0x0d, 0x9f, 0xff, 0x38, 0xa4, 0x57, 0x75, 0x2c, 0x59, 0x23, 0xe5, 0x5a, 0x85, 0x1d, 0x4d, 0x89, 0x69, 0x3d, 0x74, 0x7b, 0x15, 0x22, 0xe1, 0x68,
|
||||
/* (2^ 82)P */ 0xf3, 0x19, 0xb9, 0xcf, 0x70, 0x55, 0x7e, 0xd8, 0xb9, 0x8d, 0x79, 0x95, 0xcd, 0xde, 0x2c, 0x3f, 0xce, 0xa2, 0xc0, 0x10, 0x47, 0x15, 0x21, 0x21, 0xb2, 0xc5, 0x6d, 0x24, 0x15, 0xa1, 0x66, 0x3c,
|
||||
/* (2^ 83)P */ 0x72, 0xcb, 0x4e, 0x29, 0x62, 0xc5, 0xed, 0xcb, 0x16, 0x0b, 0x28, 0x6a, 0xc3, 0x43, 0x71, 0xba, 0x67, 0x8b, 0x07, 0xd4, 0xef, 0xc2, 0x10, 0x96, 0x1e, 0x4b, 0x6a, 0x94, 0x5d, 0x73, 0x44, 0x61,
|
||||
/* (2^ 84)P */ 0x50, 0x33, 0x5b, 0xd7, 0x1e, 0x11, 0x6f, 0x53, 0x1b, 0xd8, 0x41, 0x20, 0x8c, 0xdb, 0x11, 0x02, 0x3c, 0x41, 0x10, 0x0e, 0x00, 0xb1, 0x3c, 0xf9, 0x76, 0x88, 0x9e, 0x03, 0x3c, 0xfd, 0x9d, 0x14,
|
||||
/* (2^ 85)P */ 0x5b, 0x15, 0x63, 0x6b, 0xe4, 0xdd, 0x79, 0xd4, 0x76, 0x79, 0x83, 0x3c, 0xe9, 0x15, 0x6e, 0xb6, 0x38, 0xe0, 0x13, 0x1f, 0x3b, 0xe4, 0xfd, 0xda, 0x35, 0x0b, 0x4b, 0x2e, 0x1a, 0xda, 0xaf, 0x5f,
|
||||
/* (2^ 86)P */ 0x81, 0x75, 0x19, 0x17, 0xdf, 0xbb, 0x00, 0x36, 0xc2, 0xd2, 0x3c, 0xbe, 0x0b, 0x05, 0x72, 0x39, 0x86, 0xbe, 0xd5, 0xbd, 0x6d, 0x90, 0x38, 0x59, 0x0f, 0x86, 0x9b, 0x3f, 0xe4, 0xe5, 0xfc, 0x34,
|
||||
/* (2^ 87)P */ 0x02, 0x4d, 0xd1, 0x42, 0xcd, 0xa4, 0xa8, 0x75, 0x65, 0xdf, 0x41, 0x34, 0xc5, 0xab, 0x8d, 0x82, 0xd3, 0x31, 0xe1, 0xd2, 0xed, 0xab, 0xdc, 0x33, 0x5f, 0xd2, 0x14, 0xb8, 0x6f, 0xd7, 0xba, 0x3e,
|
||||
/* (2^ 88)P */ 0x0f, 0xe1, 0x70, 0x6f, 0x56, 0x6f, 0x90, 0xd4, 0x5a, 0x0f, 0x69, 0x51, 0xaa, 0xf7, 0x12, 0x5d, 0xf2, 0xfc, 0xce, 0x76, 0x6e, 0xb1, 0xad, 0x45, 0x99, 0x29, 0x23, 0xad, 0xae, 0x68, 0xf7, 0x01,
|
||||
/* (2^ 89)P */ 0xbd, 0xfe, 0x48, 0x62, 0x7b, 0xc7, 0x6c, 0x2b, 0xfd, 0xaf, 0x3a, 0xec, 0x28, 0x06, 0xd3, 0x3c, 0x6a, 0x48, 0xef, 0xd4, 0x80, 0x0b, 0x1c, 0xce, 0x23, 0x6c, 0xf6, 0xa6, 0x2e, 0xff, 0x3b, 0x4c,
|
||||
/* (2^ 90)P */ 0x5f, 0xeb, 0xea, 0x4a, 0x09, 0xc4, 0x2e, 0x3f, 0xa7, 0x2c, 0x37, 0x6e, 0x28, 0x9b, 0xb1, 0x61, 0x1d, 0x70, 0x2a, 0xde, 0x66, 0xa9, 0xef, 0x5e, 0xef, 0xe3, 0x55, 0xde, 0x65, 0x05, 0xb2, 0x23,
|
||||
/* (2^ 91)P */ 0x57, 0x85, 0xd5, 0x79, 0x52, 0xca, 0x01, 0xe3, 0x4f, 0x87, 0xc2, 0x27, 0xce, 0xd4, 0xb2, 0x07, 0x67, 0x1d, 0xcf, 0x9d, 0x8a, 0xcd, 0x32, 0xa5, 0x56, 0xff, 0x2b, 0x3f, 0xe2, 0xfe, 0x52, 0x2a,
|
||||
/* (2^ 92)P */ 0x3d, 0x66, 0xd8, 0x7c, 0xb3, 0xef, 0x24, 0x86, 0x94, 0x75, 0xbd, 0xff, 0x20, 0xac, 0xc7, 0xbb, 0x45, 0x74, 0xd3, 0x82, 0x9c, 0x5e, 0xb8, 0x57, 0x66, 0xec, 0xa6, 0x86, 0xcb, 0x52, 0x30, 0x7b,
|
||||
/* (2^ 93)P */ 0x1e, 0xe9, 0x25, 0x25, 0xad, 0xf0, 0x82, 0x34, 0xa0, 0xdc, 0x8e, 0xd2, 0x43, 0x80, 0xb6, 0x2c, 0x3a, 0x00, 0x1b, 0x2e, 0x05, 0x6d, 0x4f, 0xaf, 0x0a, 0x1b, 0x78, 0x29, 0x25, 0x8c, 0x5f, 0x18,
|
||||
/* (2^ 94)P */ 0xd6, 0xe0, 0x0c, 0xd8, 0x5b, 0xde, 0x41, 0xaa, 0xd6, 0xe9, 0x53, 0x68, 0x41, 0xb2, 0x07, 0x94, 0x3a, 0x4c, 0x7f, 0x35, 0x6e, 0xc3, 0x3e, 0x56, 0xce, 0x7b, 0x29, 0x0e, 0xdd, 0xb8, 0xc4, 0x4c,
|
||||
/* (2^ 95)P */ 0x0e, 0x73, 0xb8, 0xff, 0x52, 0x1a, 0xfc, 0xa2, 0x37, 0x8e, 0x05, 0x67, 0x6e, 0xf1, 0x11, 0x18, 0xe1, 0x4e, 0xdf, 0xcd, 0x66, 0xa3, 0xf9, 0x10, 0x99, 0xf0, 0xb9, 0xa0, 0xc4, 0xa0, 0xf4, 0x72,
|
||||
/* (2^ 96)P */ 0xa7, 0x4e, 0x3f, 0x66, 0x6f, 0xc0, 0x16, 0x8c, 0xba, 0x0f, 0x97, 0x4e, 0xf7, 0x3a, 0x3b, 0x69, 0x45, 0xc3, 0x9e, 0xd6, 0xf1, 0xe7, 0x02, 0x21, 0x89, 0x80, 0x8a, 0x96, 0xbc, 0x3c, 0xa5, 0x0b,
|
||||
/* (2^ 97)P */ 0x37, 0x55, 0xa1, 0xfe, 0xc7, 0x9d, 0x3d, 0xca, 0x93, 0x64, 0x53, 0x51, 0xbb, 0x24, 0x68, 0x4c, 0xb1, 0x06, 0x40, 0x84, 0x14, 0x63, 0x88, 0xb9, 0x60, 0xcc, 0x54, 0xb4, 0x2a, 0xa7, 0xd2, 0x40,
|
||||
/* (2^ 98)P */ 0x75, 0x09, 0x57, 0x12, 0xb7, 0xa1, 0x36, 0x59, 0x57, 0xa6, 0xbd, 0xde, 0x48, 0xd6, 0xb9, 0x91, 0xea, 0x30, 0x43, 0xb6, 0x4b, 0x09, 0x44, 0x33, 0xd0, 0x51, 0xee, 0x12, 0x0d, 0xa1, 0x6b, 0x00,
|
||||
/* (2^ 99)P */ 0x58, 0x5d, 0xde, 0xf5, 0x68, 0x84, 0x22, 0x19, 0xb0, 0x05, 0xcc, 0x38, 0x4c, 0x2f, 0xb1, 0x0e, 0x90, 0x19, 0x60, 0xd5, 0x9d, 0x9f, 0x03, 0xa1, 0x0b, 0x0e, 0xff, 0x4f, 0xce, 0xd4, 0x02, 0x45,
|
||||
/* (2^100)P */ 0x89, 0xc1, 0x37, 0x68, 0x10, 0x54, 0x20, 0xeb, 0x3c, 0xb9, 0xd3, 0x6d, 0x4c, 0x54, 0xf6, 0xd0, 0x4f, 0xd7, 0x16, 0xc4, 0x64, 0x70, 0x72, 0x40, 0xf0, 0x2e, 0x50, 0x4b, 0x11, 0xc6, 0x15, 0x6e,
|
||||
/* (2^101)P */ 0x6b, 0xa7, 0xb1, 0xcf, 0x98, 0xa3, 0xf2, 0x4d, 0xb1, 0xf6, 0xf2, 0x19, 0x74, 0x6c, 0x25, 0x11, 0x43, 0x60, 0x6e, 0x06, 0x62, 0x79, 0x49, 0x4a, 0x44, 0x5b, 0x35, 0x41, 0xab, 0x3a, 0x5b, 0x70,
|
||||
/* (2^102)P */ 0xd8, 0xb1, 0x97, 0xd7, 0x36, 0xf5, 0x5e, 0x36, 0xdb, 0xf0, 0xdd, 0x22, 0xd6, 0x6b, 0x07, 0x00, 0x88, 0x5a, 0x57, 0xe0, 0xb0, 0x33, 0xbf, 0x3b, 0x4d, 0xca, 0xe4, 0xc8, 0x05, 0xaa, 0x77, 0x37,
|
||||
/* (2^103)P */ 0x5f, 0xdb, 0x78, 0x55, 0xc8, 0x45, 0x27, 0x39, 0xe2, 0x5a, 0xae, 0xdb, 0x49, 0x41, 0xda, 0x6f, 0x67, 0x98, 0xdc, 0x8a, 0x0b, 0xb0, 0xf0, 0xb1, 0xa3, 0x1d, 0x6f, 0xd3, 0x37, 0x34, 0x96, 0x09,
|
||||
/* (2^104)P */ 0x53, 0x38, 0xdc, 0xa5, 0x90, 0x4e, 0x82, 0x7e, 0xbd, 0x5c, 0x13, 0x1f, 0x64, 0xf6, 0xb5, 0xcc, 0xcc, 0x8f, 0xce, 0x87, 0x6c, 0xd8, 0x36, 0x67, 0x9f, 0x24, 0x04, 0x66, 0xe2, 0x3c, 0x5f, 0x62,
|
||||
/* (2^105)P */ 0x3f, 0xf6, 0x02, 0x95, 0x05, 0xc8, 0x8a, 0xaf, 0x69, 0x14, 0x35, 0x2e, 0x0a, 0xe7, 0x05, 0x0c, 0x05, 0x63, 0x4b, 0x76, 0x9c, 0x2e, 0x29, 0x35, 0xc3, 0x3a, 0xe2, 0xc7, 0x60, 0x43, 0x39, 0x1a,
|
||||
/* (2^106)P */ 0x64, 0x32, 0x18, 0x51, 0x32, 0xd5, 0xc6, 0xd5, 0x4f, 0xb7, 0xc2, 0x43, 0xbd, 0x5a, 0x06, 0x62, 0x9b, 0x3f, 0x97, 0x3b, 0xd0, 0xf5, 0xfb, 0xb5, 0x5e, 0x6e, 0x20, 0x61, 0x36, 0xda, 0xa3, 0x13,
|
||||
/* (2^107)P */ 0xe5, 0x94, 0x5d, 0x72, 0x37, 0x58, 0xbd, 0xc6, 0xc5, 0x16, 0x50, 0x20, 0x12, 0x09, 0xe3, 0x18, 0x68, 0x3c, 0x03, 0x70, 0x15, 0xce, 0x88, 0x20, 0x87, 0x79, 0x83, 0x5c, 0x49, 0x1f, 0xba, 0x7f,
|
||||
/* (2^108)P */ 0x9d, 0x07, 0xf9, 0xf2, 0x23, 0x74, 0x8c, 0x5a, 0xc5, 0x3f, 0x02, 0x34, 0x7b, 0x15, 0x35, 0x17, 0x51, 0xb3, 0xfa, 0xd2, 0x9a, 0xb4, 0xf9, 0xe4, 0x3c, 0xe3, 0x78, 0xc8, 0x72, 0xff, 0x91, 0x66,
|
||||
/* (2^109)P */ 0x3e, 0xff, 0x5e, 0xdc, 0xde, 0x2a, 0x2c, 0x12, 0xf4, 0x6c, 0x95, 0xd8, 0xf1, 0x4b, 0xdd, 0xf8, 0xda, 0x5b, 0x9e, 0x9e, 0x5d, 0x20, 0x86, 0xeb, 0x43, 0xc7, 0x75, 0xd9, 0xb9, 0x92, 0x9b, 0x04,
|
||||
/* (2^110)P */ 0x5a, 0xc0, 0xf6, 0xb0, 0x30, 0x97, 0x37, 0xa5, 0x53, 0xa5, 0xf3, 0xc6, 0xac, 0xff, 0xa0, 0x72, 0x6d, 0xcd, 0x0d, 0xb2, 0x34, 0x2c, 0x03, 0xb0, 0x4a, 0x16, 0xd5, 0x88, 0xbc, 0x9d, 0x0e, 0x47,
|
||||
/* (2^111)P */ 0x47, 0xc0, 0x37, 0xa2, 0x0c, 0xf1, 0x9c, 0xb1, 0xa2, 0x81, 0x6c, 0x1f, 0x71, 0x66, 0x54, 0xb6, 0x43, 0x0b, 0xd8, 0x6d, 0xd1, 0x1b, 0x32, 0xb3, 0x8e, 0xbe, 0x5f, 0x0c, 0x60, 0x4f, 0xc1, 0x48,
|
||||
/* (2^112)P */ 0x03, 0xc8, 0xa6, 0x4a, 0x26, 0x1c, 0x45, 0x66, 0xa6, 0x7d, 0xfa, 0xa4, 0x04, 0x39, 0x6e, 0xb6, 0x95, 0x83, 0x12, 0xb3, 0xb0, 0x19, 0x5f, 0xd4, 0x10, 0xbc, 0xc9, 0xc3, 0x27, 0x26, 0x60, 0x31,
|
||||
/* (2^113)P */ 0x0d, 0xe1, 0xe4, 0x32, 0x48, 0xdc, 0x20, 0x31, 0xf7, 0x17, 0xc7, 0x56, 0x67, 0xc4, 0x20, 0xeb, 0x94, 0x02, 0x28, 0x67, 0x3f, 0x2e, 0xf5, 0x00, 0x09, 0xc5, 0x30, 0x47, 0xc1, 0x4f, 0x6d, 0x56,
|
||||
/* (2^114)P */ 0x06, 0x72, 0x83, 0xfd, 0x40, 0x5d, 0x3a, 0x7e, 0x7a, 0x54, 0x59, 0x71, 0xdc, 0x26, 0xe9, 0xc1, 0x95, 0x60, 0x8d, 0xa6, 0xfb, 0x30, 0x67, 0x21, 0xa7, 0xce, 0x69, 0x3f, 0x84, 0xc3, 0xe8, 0x22,
|
||||
/* (2^115)P */ 0x2b, 0x4b, 0x0e, 0x93, 0xe8, 0x74, 0xd0, 0x33, 0x16, 0x58, 0xd1, 0x84, 0x0e, 0x35, 0xe4, 0xb6, 0x65, 0x23, 0xba, 0xd6, 0x6a, 0xc2, 0x34, 0x55, 0xf3, 0xf3, 0xf1, 0x89, 0x2f, 0xc1, 0x73, 0x77,
|
||||
/* (2^116)P */ 0xaa, 0x62, 0x79, 0xa5, 0x4d, 0x40, 0xba, 0x8c, 0x56, 0xce, 0x99, 0x19, 0xa8, 0x97, 0x98, 0x5b, 0xfc, 0x92, 0x16, 0x12, 0x2f, 0x86, 0x8e, 0x50, 0x91, 0xc2, 0x93, 0xa0, 0x7f, 0x90, 0x81, 0x3a,
|
||||
/* (2^117)P */ 0x10, 0xa5, 0x25, 0x47, 0xff, 0xd0, 0xde, 0x0d, 0x03, 0xc5, 0x3f, 0x67, 0x10, 0xcc, 0xd8, 0x10, 0x89, 0x4e, 0x1f, 0x9f, 0x1c, 0x15, 0x9d, 0x5b, 0x4c, 0xa4, 0x09, 0xcb, 0xd5, 0xc1, 0xa5, 0x32,
|
||||
/* (2^118)P */ 0xfb, 0x41, 0x05, 0xb9, 0x42, 0xa4, 0x0a, 0x1e, 0xdb, 0x85, 0xb4, 0xc1, 0x7c, 0xeb, 0x85, 0x5f, 0xe5, 0xf2, 0x9d, 0x8a, 0xce, 0x95, 0xe5, 0xbe, 0x36, 0x22, 0x42, 0x22, 0xc7, 0x96, 0xe4, 0x25,
|
||||
/* (2^119)P */ 0xb9, 0xe5, 0x0f, 0xcd, 0x46, 0x3c, 0xdf, 0x5e, 0x88, 0x33, 0xa4, 0xd2, 0x7e, 0x5a, 0xe7, 0x34, 0x52, 0xe3, 0x61, 0xd7, 0x11, 0xde, 0x88, 0xe4, 0x5c, 0x54, 0x85, 0xa0, 0x01, 0x8a, 0x87, 0x0e,
|
||||
/* (2^120)P */ 0x04, 0xbb, 0x21, 0xe0, 0x77, 0x3c, 0x49, 0xba, 0x9a, 0x89, 0xdf, 0xc7, 0x43, 0x18, 0x4d, 0x2b, 0x67, 0x0d, 0xe8, 0x7a, 0x48, 0x7a, 0xa3, 0x9e, 0x94, 0x17, 0xe4, 0x11, 0x80, 0x95, 0xa9, 0x67,
|
||||
/* (2^121)P */ 0x65, 0xb0, 0x97, 0x66, 0x1a, 0x05, 0x58, 0x4b, 0xd4, 0xa6, 0x6b, 0x8d, 0x7d, 0x3f, 0xe3, 0x47, 0xc1, 0x46, 0xca, 0x83, 0xd4, 0xa8, 0x4d, 0xbb, 0x0d, 0xdb, 0xc2, 0x81, 0xa1, 0xca, 0xbe, 0x68,
|
||||
/* (2^122)P */ 0xa5, 0x9a, 0x98, 0x0b, 0xe9, 0x80, 0x89, 0x8d, 0x9b, 0xc9, 0x93, 0x2c, 0x4a, 0xb1, 0x5e, 0xf9, 0xa2, 0x73, 0x6e, 0x79, 0xc4, 0xc7, 0xc6, 0x51, 0x69, 0xb5, 0xef, 0xb5, 0x63, 0x83, 0x22, 0x6e,
|
||||
/* (2^123)P */ 0xc8, 0x24, 0xd6, 0x2d, 0xb0, 0xc0, 0xbb, 0xc6, 0xee, 0x70, 0x81, 0xec, 0x7d, 0xb4, 0x7e, 0x77, 0xa9, 0xaf, 0xcf, 0x04, 0xa0, 0x15, 0xde, 0x3c, 0x9b, 0xbf, 0x60, 0x71, 0x08, 0xbc, 0xc6, 0x1d,
|
||||
/* (2^124)P */ 0x02, 0x40, 0xc3, 0xee, 0x43, 0xe0, 0x07, 0x2e, 0x7f, 0xdc, 0x68, 0x7a, 0x67, 0xfc, 0xe9, 0x18, 0x9a, 0x5b, 0xd1, 0x8b, 0x18, 0x03, 0xda, 0xd8, 0x53, 0x82, 0x56, 0x00, 0xbb, 0xc3, 0xfb, 0x48,
|
||||
/* (2^125)P */ 0xe1, 0x4c, 0x65, 0xfb, 0x4c, 0x7d, 0x54, 0x57, 0xad, 0xe2, 0x58, 0xa0, 0x82, 0x5b, 0x56, 0xd3, 0x78, 0x44, 0x15, 0xbf, 0x0b, 0xaf, 0x3e, 0xf6, 0x18, 0xbb, 0xdf, 0x14, 0xf1, 0x1e, 0x53, 0x47,
|
||||
/* (2^126)P */ 0x87, 0xc5, 0x78, 0x42, 0x0a, 0x63, 0xec, 0xe1, 0xf3, 0x83, 0x8e, 0xca, 0x46, 0xd5, 0x07, 0x55, 0x2b, 0x0c, 0xdc, 0x3a, 0xc6, 0x35, 0xe1, 0x85, 0x4e, 0x84, 0x82, 0x56, 0xa8, 0xef, 0xa7, 0x0a,
|
||||
/* (2^127)P */ 0x15, 0xf6, 0xe1, 0xb3, 0xa8, 0x1b, 0x69, 0x72, 0xfa, 0x3f, 0xbe, 0x1f, 0x70, 0xe9, 0xb4, 0x32, 0x68, 0x78, 0xbb, 0x39, 0x2e, 0xd9, 0xb6, 0x97, 0xe8, 0x39, 0x2e, 0xa0, 0xde, 0x53, 0xfe, 0x2c,
|
||||
/* (2^128)P */ 0xb0, 0x52, 0xcd, 0x85, 0xcd, 0x92, 0x73, 0x68, 0x31, 0x98, 0xe2, 0x10, 0xc9, 0x66, 0xff, 0x27, 0x06, 0x2d, 0x83, 0xa9, 0x56, 0x45, 0x13, 0x97, 0xa0, 0xf8, 0x84, 0x0a, 0x36, 0xb0, 0x9b, 0x26,
|
||||
/* (2^129)P */ 0x5c, 0xf8, 0x43, 0x76, 0x45, 0x55, 0x6e, 0x70, 0x1b, 0x7d, 0x59, 0x9b, 0x8c, 0xa4, 0x34, 0x37, 0x72, 0xa4, 0xef, 0xc6, 0xe8, 0x91, 0xee, 0x7a, 0xe0, 0xd9, 0xa9, 0x98, 0xc1, 0xab, 0xd6, 0x5c,
|
||||
/* (2^130)P */ 0x1a, 0xe4, 0x3c, 0xcb, 0x06, 0xde, 0x04, 0x0e, 0x38, 0xe1, 0x02, 0x34, 0x89, 0xeb, 0xc6, 0xd8, 0x72, 0x37, 0x6e, 0x68, 0xbb, 0x59, 0x46, 0x90, 0xc8, 0xa8, 0x6b, 0x74, 0x71, 0xc3, 0x15, 0x72,
|
||||
/* (2^131)P */ 0xd9, 0xa2, 0xe4, 0xea, 0x7e, 0xa9, 0x12, 0xfd, 0xc5, 0xf2, 0x94, 0x63, 0x51, 0xb7, 0x14, 0x95, 0x94, 0xf2, 0x08, 0x92, 0x80, 0xd5, 0x6f, 0x26, 0xb9, 0x26, 0x9a, 0x61, 0x85, 0x70, 0x84, 0x5c,
|
||||
/* (2^132)P */ 0xea, 0x94, 0xd6, 0xfe, 0x10, 0x54, 0x98, 0x52, 0x54, 0xd2, 0x2e, 0x4a, 0x93, 0x5b, 0x90, 0x3c, 0x67, 0xe4, 0x3b, 0x2d, 0x69, 0x47, 0xbb, 0x10, 0xe1, 0xe9, 0xe5, 0x69, 0x2d, 0x3d, 0x3b, 0x06,
|
||||
/* (2^133)P */ 0xeb, 0x7d, 0xa5, 0xdd, 0xee, 0x26, 0x27, 0x47, 0x91, 0x18, 0xf4, 0x10, 0xae, 0xc4, 0xb6, 0xef, 0x14, 0x76, 0x30, 0x7b, 0x91, 0x41, 0x16, 0x2b, 0x7c, 0x5b, 0xf4, 0xc4, 0x4f, 0x55, 0x7c, 0x11,
|
||||
/* (2^134)P */ 0x12, 0x88, 0x9d, 0x8f, 0x11, 0xf3, 0x7c, 0xc0, 0x39, 0x79, 0x01, 0x50, 0x20, 0xd8, 0xdb, 0x01, 0x27, 0x28, 0x1b, 0x17, 0xf4, 0x03, 0xe8, 0xd7, 0xea, 0x25, 0xd2, 0x87, 0x74, 0xe8, 0x15, 0x10,
|
||||
/* (2^135)P */ 0x4d, 0xcc, 0x3a, 0xd2, 0xfe, 0xe3, 0x8d, 0xc5, 0x2d, 0xbe, 0xa7, 0x94, 0xc2, 0x91, 0xdb, 0x50, 0x57, 0xf4, 0x9c, 0x1c, 0x3d, 0xd4, 0x94, 0x0b, 0x4a, 0x52, 0x37, 0x6e, 0xfa, 0x40, 0x16, 0x6b,
|
||||
/* (2^136)P */ 0x09, 0x0d, 0xda, 0x5f, 0x6c, 0x34, 0x2f, 0x69, 0x51, 0x31, 0x4d, 0xfa, 0x59, 0x1c, 0x0b, 0x20, 0x96, 0xa2, 0x77, 0x07, 0x76, 0x6f, 0xc4, 0xb8, 0xcf, 0xfb, 0xfd, 0x3f, 0x5f, 0x39, 0x38, 0x4b,
|
||||
/* (2^137)P */ 0x71, 0xd6, 0x54, 0xbe, 0x00, 0x5e, 0xd2, 0x18, 0xa6, 0xab, 0xc8, 0xbe, 0x82, 0x05, 0xd5, 0x60, 0x82, 0xb9, 0x78, 0x3b, 0x26, 0x8f, 0xad, 0x87, 0x32, 0x04, 0xda, 0x9c, 0x4e, 0xf6, 0xfd, 0x50,
|
||||
/* (2^138)P */ 0xf0, 0xdc, 0x78, 0xc5, 0xaa, 0x67, 0xf5, 0x90, 0x3b, 0x13, 0xa3, 0xf2, 0x0e, 0x9b, 0x1e, 0xef, 0x71, 0xde, 0xd9, 0x42, 0x92, 0xba, 0xeb, 0x0e, 0xc7, 0x01, 0x31, 0xf0, 0x9b, 0x3c, 0x47, 0x15,
|
||||
/* (2^139)P */ 0x95, 0x80, 0xb7, 0x56, 0xae, 0xe8, 0x77, 0x7c, 0x8e, 0x07, 0x6f, 0x6e, 0x66, 0xe7, 0x78, 0xb6, 0x1f, 0xba, 0x48, 0x53, 0x61, 0xb9, 0xa0, 0x2d, 0x0b, 0x3f, 0x73, 0xff, 0xc1, 0x31, 0xf9, 0x7c,
|
||||
/* (2^140)P */ 0x6c, 0x36, 0x0a, 0x0a, 0xf5, 0x57, 0xb3, 0x26, 0x32, 0xd7, 0x87, 0x2b, 0xf4, 0x8c, 0x70, 0xe9, 0xc0, 0xb2, 0x1c, 0xf9, 0xa5, 0xee, 0x3a, 0xc1, 0x4c, 0xbb, 0x43, 0x11, 0x99, 0x0c, 0xd9, 0x35,
|
||||
/* (2^141)P */ 0xdc, 0xd9, 0xa0, 0xa9, 0x04, 0xc4, 0xc1, 0x47, 0x51, 0xd2, 0x72, 0x19, 0x45, 0x58, 0x9e, 0x65, 0x31, 0x8c, 0xb3, 0x73, 0xc4, 0xa8, 0x75, 0x38, 0x24, 0x1f, 0x56, 0x79, 0xd3, 0x9e, 0xbd, 0x1f,
|
||||
/* (2^142)P */ 0x8d, 0xc2, 0x1e, 0xd4, 0x6f, 0xbc, 0xfa, 0x11, 0xca, 0x2d, 0x2a, 0xcd, 0xe3, 0xdf, 0xf8, 0x7e, 0x95, 0x45, 0x40, 0x8c, 0x5d, 0x3b, 0xe7, 0x72, 0x27, 0x2f, 0xb7, 0x54, 0x49, 0xfa, 0x35, 0x61,
|
||||
/* (2^143)P */ 0x9c, 0xb6, 0x24, 0xde, 0xa2, 0x32, 0xfc, 0xcc, 0x88, 0x5d, 0x09, 0x1f, 0x8c, 0x69, 0x55, 0x3f, 0x29, 0xf9, 0xc3, 0x5a, 0xed, 0x50, 0x33, 0xbe, 0xeb, 0x7e, 0x47, 0xca, 0x06, 0xf8, 0x9b, 0x5e,
|
||||
/* (2^144)P */ 0x68, 0x9f, 0x30, 0x3c, 0xb6, 0x8f, 0xce, 0xe9, 0xf4, 0xf9, 0xe1, 0x65, 0x35, 0xf6, 0x76, 0x53, 0xf1, 0x93, 0x63, 0x5a, 0xb3, 0xcf, 0xaf, 0xd1, 0x06, 0x35, 0x62, 0xe5, 0xed, 0xa1, 0x32, 0x66,
|
||||
/* (2^145)P */ 0x4c, 0xed, 0x2d, 0x0c, 0x39, 0x6c, 0x7d, 0x0b, 0x1f, 0xcb, 0x04, 0xdf, 0x81, 0x32, 0xcb, 0x56, 0xc7, 0xc3, 0xec, 0x49, 0x12, 0x5a, 0x30, 0x66, 0x2a, 0xa7, 0x8c, 0xa3, 0x60, 0x8b, 0x58, 0x5d,
|
||||
/* (2^146)P */ 0x2d, 0xf4, 0xe5, 0xe8, 0x78, 0xbf, 0xec, 0xa6, 0xec, 0x3e, 0x8a, 0x3c, 0x4b, 0xb4, 0xee, 0x86, 0x04, 0x16, 0xd2, 0xfb, 0x48, 0x9c, 0x21, 0xec, 0x31, 0x67, 0xc3, 0x17, 0xf5, 0x1a, 0xaf, 0x1a,
|
||||
/* (2^147)P */ 0xe7, 0xbd, 0x69, 0x67, 0x83, 0xa2, 0x06, 0xc3, 0xdb, 0x2a, 0x1e, 0x2b, 0x62, 0x80, 0x82, 0x20, 0xa6, 0x94, 0xff, 0xfb, 0x1f, 0xf5, 0x27, 0x80, 0x6b, 0xf2, 0x24, 0x11, 0xce, 0xa1, 0xcf, 0x76,
|
||||
/* (2^148)P */ 0xb6, 0xab, 0x22, 0x24, 0x56, 0x00, 0xeb, 0x18, 0xc3, 0x29, 0x8c, 0x8f, 0xd5, 0xc4, 0x77, 0xf3, 0x1a, 0x56, 0x31, 0xf5, 0x07, 0xc2, 0xbb, 0x4d, 0x27, 0x8a, 0x12, 0x82, 0xf0, 0xb7, 0x53, 0x02,
|
||||
/* (2^149)P */ 0xe0, 0x17, 0x2c, 0xb6, 0x1c, 0x09, 0x1f, 0x3d, 0xa9, 0x28, 0x46, 0xd6, 0xab, 0xe1, 0x60, 0x48, 0x53, 0x42, 0x9d, 0x30, 0x36, 0x74, 0xd1, 0x52, 0x76, 0xe5, 0xfa, 0x3e, 0xe1, 0x97, 0x6f, 0x35,
|
||||
/* (2^150)P */ 0x5b, 0x53, 0x50, 0xa1, 0x1a, 0xe1, 0x51, 0xd3, 0xcc, 0x78, 0xd8, 0x1d, 0xbb, 0x45, 0x6b, 0x3e, 0x98, 0x2c, 0xd9, 0xbe, 0x28, 0x61, 0x77, 0x0c, 0xb8, 0x85, 0x28, 0x03, 0x93, 0xae, 0x34, 0x1d,
|
||||
/* (2^151)P */ 0xc3, 0xa4, 0x5b, 0xa8, 0x8c, 0x48, 0xa0, 0x4b, 0xce, 0xe6, 0x9c, 0x3c, 0xc3, 0x48, 0x53, 0x98, 0x70, 0xa7, 0xbd, 0x97, 0x6f, 0x4c, 0x12, 0x66, 0x4a, 0x12, 0x54, 0x06, 0x29, 0xa0, 0x81, 0x0f,
|
||||
/* (2^152)P */ 0xfd, 0x86, 0x9b, 0x56, 0xa6, 0x9c, 0xd0, 0x9e, 0x2d, 0x9a, 0xaf, 0x18, 0xfd, 0x09, 0x10, 0x81, 0x0a, 0xc2, 0xd8, 0x93, 0x3f, 0xd0, 0x08, 0xff, 0x6b, 0xf2, 0xae, 0x9f, 0x19, 0x48, 0xa1, 0x52,
|
||||
/* (2^153)P */ 0x73, 0x1b, 0x8d, 0x2d, 0xdc, 0xf9, 0x03, 0x3e, 0x70, 0x1a, 0x96, 0x73, 0x18, 0x80, 0x05, 0x42, 0x70, 0x59, 0xa3, 0x41, 0xf0, 0x87, 0xd9, 0xc0, 0x49, 0xd5, 0xc0, 0xa1, 0x15, 0x1f, 0xaa, 0x07,
|
||||
/* (2^154)P */ 0x24, 0x72, 0xd2, 0x8c, 0xe0, 0x6c, 0xd4, 0xdf, 0x39, 0x42, 0x4e, 0x93, 0x4f, 0x02, 0x0a, 0x6d, 0x59, 0x7b, 0x89, 0x99, 0x63, 0x7a, 0x8a, 0x80, 0xa2, 0x95, 0x3d, 0xe1, 0xe9, 0x56, 0x45, 0x0a,
|
||||
/* (2^155)P */ 0x45, 0x30, 0xc1, 0xe9, 0x1f, 0x99, 0x1a, 0xd2, 0xb8, 0x51, 0x77, 0xfe, 0x48, 0x85, 0x0e, 0x9b, 0x35, 0x00, 0xf3, 0x4b, 0xcb, 0x43, 0xa6, 0x5d, 0x21, 0xf7, 0x40, 0x39, 0xd6, 0x28, 0xdb, 0x77,
|
||||
/* (2^156)P */ 0x11, 0x90, 0xdc, 0x4a, 0x61, 0xeb, 0x5e, 0xfc, 0xeb, 0x11, 0xc4, 0xe8, 0x9a, 0x41, 0x29, 0x52, 0x74, 0xcf, 0x1d, 0x7d, 0x78, 0xe7, 0xc3, 0x9e, 0xb5, 0x4c, 0x6e, 0x21, 0x3e, 0x05, 0x0d, 0x34,
|
||||
/* (2^157)P */ 0xb4, 0xf2, 0x8d, 0xb4, 0x39, 0xaf, 0xc7, 0xca, 0x94, 0x0a, 0xa1, 0x71, 0x28, 0xec, 0xfa, 0xc0, 0xed, 0x75, 0xa5, 0x5c, 0x24, 0x69, 0x0a, 0x14, 0x4c, 0x3a, 0x27, 0x34, 0x71, 0xc3, 0xf1, 0x0c,
|
||||
/* (2^158)P */ 0xa5, 0xb8, 0x24, 0xc2, 0x6a, 0x30, 0xee, 0xc8, 0xb0, 0x30, 0x49, 0xcb, 0x7c, 0xee, 0xea, 0x57, 0x4f, 0xe7, 0xcb, 0xaa, 0xbd, 0x06, 0xe8, 0xa1, 0x7d, 0x65, 0xeb, 0x2e, 0x74, 0x62, 0x9a, 0x7d,
|
||||
/* (2^159)P */ 0x30, 0x48, 0x6c, 0x54, 0xef, 0xb6, 0xb6, 0x9e, 0x2e, 0x6e, 0xb3, 0xdd, 0x1f, 0xca, 0x5c, 0x88, 0x05, 0x71, 0x0d, 0xef, 0x83, 0xf3, 0xb9, 0xe6, 0x12, 0x04, 0x2e, 0x9d, 0xef, 0x4f, 0x65, 0x58,
|
||||
/* (2^160)P */ 0x26, 0x8e, 0x0e, 0xbe, 0xff, 0xc4, 0x05, 0xa9, 0x6e, 0x81, 0x31, 0x9b, 0xdf, 0xe5, 0x2d, 0x94, 0xe1, 0x88, 0x2e, 0x80, 0x3f, 0x72, 0x7d, 0x49, 0x8d, 0x40, 0x2f, 0x60, 0xea, 0x4d, 0x68, 0x30,
|
||||
/* (2^161)P */ 0x34, 0xcb, 0xe6, 0xa3, 0x78, 0xa2, 0xe5, 0x21, 0xc4, 0x1d, 0x15, 0x5b, 0x6f, 0x6e, 0xfb, 0xae, 0x15, 0xca, 0x77, 0x9d, 0x04, 0x8e, 0x0b, 0xb3, 0x81, 0x89, 0xb9, 0x53, 0xcf, 0xc9, 0xc3, 0x28,
|
||||
/* (2^162)P */ 0x2a, 0xdd, 0x6c, 0x55, 0x21, 0xb7, 0x7f, 0x28, 0x74, 0x22, 0x02, 0x97, 0xa8, 0x7c, 0x31, 0x0d, 0x58, 0x32, 0x54, 0x3a, 0x42, 0xc7, 0x68, 0x74, 0x2f, 0x64, 0xb5, 0x4e, 0x46, 0x11, 0x7f, 0x4a,
|
||||
/* (2^163)P */ 0xa6, 0x3a, 0x19, 0x4d, 0x77, 0xa4, 0x37, 0xa2, 0xa1, 0x29, 0x21, 0xa9, 0x6e, 0x98, 0x65, 0xd8, 0x88, 0x1a, 0x7c, 0xf8, 0xec, 0x15, 0xc5, 0x24, 0xeb, 0xf5, 0x39, 0x5f, 0x57, 0x03, 0x40, 0x60,
|
||||
/* (2^164)P */ 0x27, 0x9b, 0x0a, 0x57, 0x89, 0xf1, 0xb9, 0x47, 0x78, 0x4b, 0x5e, 0x46, 0xde, 0xce, 0x98, 0x2b, 0x20, 0x5c, 0xb8, 0xdb, 0x51, 0xf5, 0x6d, 0x02, 0x01, 0x19, 0xe2, 0x47, 0x10, 0xd9, 0xfc, 0x74,
|
||||
/* (2^165)P */ 0xa3, 0xbf, 0xc1, 0x23, 0x0a, 0xa9, 0xe2, 0x13, 0xf6, 0x19, 0x85, 0x47, 0x4e, 0x07, 0xb0, 0x0c, 0x44, 0xcf, 0xf6, 0x3a, 0xbe, 0xcb, 0xf1, 0x5f, 0xbe, 0x2d, 0x81, 0xbe, 0x38, 0x54, 0xfe, 0x67,
|
||||
/* (2^166)P */ 0xb0, 0x05, 0x0f, 0xa4, 0x4f, 0xf6, 0x3c, 0xd1, 0x87, 0x37, 0x28, 0x32, 0x2f, 0xfb, 0x4d, 0x05, 0xea, 0x2a, 0x0d, 0x7f, 0x5b, 0x91, 0x73, 0x41, 0x4e, 0x0d, 0x61, 0x1f, 0x4f, 0x14, 0x2f, 0x48,
|
||||
/* (2^167)P */ 0x34, 0x82, 0x7f, 0xb4, 0x01, 0x02, 0x21, 0xf6, 0x90, 0xb9, 0x70, 0x9e, 0x92, 0xe1, 0x0a, 0x5d, 0x7c, 0x56, 0x49, 0xb0, 0x55, 0xf4, 0xd7, 0xdc, 0x01, 0x6f, 0x91, 0xf0, 0xf1, 0xd0, 0x93, 0x7e,
|
||||
/* (2^168)P */ 0xfa, 0xb4, 0x7d, 0x8a, 0xf1, 0xcb, 0x79, 0xdd, 0x2f, 0xc6, 0x74, 0x6f, 0xbf, 0x91, 0x83, 0xbe, 0xbd, 0x91, 0x82, 0x4b, 0xd1, 0x45, 0x71, 0x02, 0x05, 0x17, 0xbf, 0x2c, 0xea, 0x73, 0x5a, 0x58,
|
||||
/* (2^169)P */ 0xb2, 0x0d, 0x8a, 0x92, 0x3e, 0xa0, 0x5c, 0x48, 0xe7, 0x57, 0x28, 0x74, 0xa5, 0x01, 0xfc, 0x10, 0xa7, 0x51, 0xd5, 0xd6, 0xdb, 0x2e, 0x48, 0x2f, 0x8a, 0xdb, 0x8f, 0x04, 0xb5, 0x33, 0x04, 0x0f,
|
||||
/* (2^170)P */ 0x47, 0x62, 0xdc, 0xd7, 0x8d, 0x2e, 0xda, 0x60, 0x9a, 0x81, 0xd4, 0x8c, 0xd3, 0xc9, 0xb4, 0x88, 0x97, 0x66, 0xf6, 0x01, 0xc0, 0x3a, 0x03, 0x13, 0x75, 0x7d, 0x36, 0x3b, 0xfe, 0x24, 0x3b, 0x27,
|
||||
/* (2^171)P */ 0xd4, 0xb9, 0xb3, 0x31, 0x6a, 0xf6, 0xe8, 0xc6, 0xd5, 0x49, 0xdf, 0x94, 0xa4, 0x14, 0x15, 0x28, 0xa7, 0x3d, 0xb2, 0xc8, 0xdf, 0x6f, 0x72, 0xd1, 0x48, 0xe5, 0xde, 0x03, 0xd1, 0xe7, 0x3a, 0x4b,
|
||||
/* (2^172)P */ 0x7e, 0x9d, 0x4b, 0xce, 0x19, 0x6e, 0x25, 0xc6, 0x1c, 0xc6, 0xe3, 0x86, 0xf1, 0x5c, 0x5c, 0xff, 0x45, 0xc1, 0x8e, 0x4b, 0xa3, 0x3c, 0xc6, 0xac, 0x74, 0x65, 0xe6, 0xfe, 0x88, 0x18, 0x62, 0x74,
|
||||
/* (2^173)P */ 0x1e, 0x0a, 0x29, 0x45, 0x96, 0x40, 0x6f, 0x95, 0x2e, 0x96, 0x3a, 0x26, 0xe3, 0xf8, 0x0b, 0xef, 0x7b, 0x64, 0xc2, 0x5e, 0xeb, 0x50, 0x6a, 0xed, 0x02, 0x75, 0xca, 0x9d, 0x3a, 0x28, 0x94, 0x06,
|
||||
/* (2^174)P */ 0xd1, 0xdc, 0xa2, 0x43, 0x36, 0x96, 0x9b, 0x76, 0x53, 0x53, 0xfc, 0x09, 0xea, 0xc8, 0xb7, 0x42, 0xab, 0x7e, 0x39, 0x13, 0xee, 0x2a, 0x00, 0x4f, 0x3a, 0xd6, 0xb7, 0x19, 0x2c, 0x5e, 0x00, 0x63,
|
||||
/* (2^175)P */ 0xea, 0x3b, 0x02, 0x63, 0xda, 0x36, 0x67, 0xca, 0xb7, 0x99, 0x2a, 0xb1, 0x6d, 0x7f, 0x6c, 0x96, 0xe1, 0xc5, 0x37, 0xc5, 0x90, 0x93, 0xe0, 0xac, 0xee, 0x89, 0xaa, 0xa1, 0x63, 0x60, 0x69, 0x0b,
|
||||
/* (2^176)P */ 0xe5, 0x56, 0x8c, 0x28, 0x97, 0x3e, 0xb0, 0xeb, 0xe8, 0x8b, 0x8c, 0x93, 0x9f, 0x9f, 0x2a, 0x43, 0x71, 0x7f, 0x71, 0x5b, 0x3d, 0xa9, 0xa5, 0xa6, 0x97, 0x9d, 0x8f, 0xe1, 0xc3, 0xb4, 0x5f, 0x1a,
|
||||
/* (2^177)P */ 0xce, 0xcd, 0x60, 0x1c, 0xad, 0xe7, 0x94, 0x1c, 0xa0, 0xc4, 0x02, 0xfc, 0x43, 0x2a, 0x20, 0xee, 0x20, 0x6a, 0xc4, 0x67, 0xd8, 0xe4, 0xaf, 0x8d, 0x58, 0x7b, 0xc2, 0x8a, 0x3c, 0x26, 0x10, 0x0a,
|
||||
/* (2^178)P */ 0x4a, 0x2a, 0x43, 0xe4, 0xdf, 0xa9, 0xde, 0xd0, 0xc5, 0x77, 0x92, 0xbe, 0x7b, 0xf8, 0x6a, 0x85, 0x1a, 0xc7, 0x12, 0xc2, 0xac, 0x72, 0x84, 0xce, 0x91, 0x1e, 0xbb, 0x9b, 0x6d, 0x1b, 0x15, 0x6f,
|
||||
/* (2^179)P */ 0x6a, 0xd5, 0xee, 0x7c, 0x52, 0x6c, 0x77, 0x26, 0xec, 0xfa, 0xf8, 0xfb, 0xb7, 0x1c, 0x21, 0x7d, 0xcc, 0x09, 0x46, 0xfd, 0xa6, 0x66, 0xae, 0x37, 0x42, 0x0c, 0x77, 0xd2, 0x02, 0xb7, 0x81, 0x1f,
|
||||
/* (2^180)P */ 0x92, 0x83, 0xc5, 0xea, 0x57, 0xb0, 0xb0, 0x2f, 0x9d, 0x4e, 0x74, 0x29, 0xfe, 0x89, 0xdd, 0xe1, 0xf8, 0xb4, 0xbe, 0x17, 0xeb, 0xf8, 0x64, 0xc9, 0x1e, 0xd4, 0xa2, 0xc9, 0x73, 0x10, 0x57, 0x29,
|
||||
/* (2^181)P */ 0x54, 0xe2, 0xc0, 0x81, 0x89, 0xa1, 0x48, 0xa9, 0x30, 0x28, 0xb2, 0x65, 0x9b, 0x36, 0xf6, 0x2d, 0xc6, 0xd3, 0xcf, 0x5f, 0xd7, 0xb2, 0x3e, 0xa3, 0x1f, 0xa0, 0x99, 0x41, 0xec, 0xd6, 0x8c, 0x07,
|
||||
/* (2^182)P */ 0x2f, 0x0d, 0x90, 0xad, 0x41, 0x4a, 0x58, 0x4a, 0x52, 0x4c, 0xc7, 0xe2, 0x78, 0x2b, 0x14, 0x32, 0x78, 0xc9, 0x31, 0x84, 0x33, 0xe8, 0xc4, 0x68, 0xc2, 0x9f, 0x68, 0x08, 0x90, 0xea, 0x69, 0x7f,
|
||||
/* (2^183)P */ 0x65, 0x82, 0xa3, 0x46, 0x1e, 0xc8, 0xf2, 0x52, 0xfd, 0x32, 0xa8, 0x04, 0x2d, 0x07, 0x78, 0xfd, 0x94, 0x9e, 0x35, 0x25, 0xfa, 0xd5, 0xd7, 0x8c, 0xd2, 0x29, 0xcc, 0x54, 0x74, 0x1b, 0xe7, 0x4d,
|
||||
/* (2^184)P */ 0xc9, 0x6a, 0xda, 0x1e, 0xad, 0x60, 0xeb, 0x42, 0x3a, 0x9c, 0xc0, 0xdb, 0xdf, 0x37, 0xad, 0x0a, 0x91, 0xc1, 0x3c, 0xe3, 0x71, 0x4b, 0x00, 0x81, 0x3c, 0x80, 0x22, 0x51, 0x34, 0xbe, 0xe6, 0x44,
|
||||
/* (2^185)P */ 0xdb, 0x20, 0x19, 0xba, 0x88, 0x83, 0xfe, 0x03, 0x08, 0xb0, 0x0d, 0x15, 0x32, 0x7c, 0xd5, 0xf5, 0x29, 0x0c, 0xf6, 0x1a, 0x28, 0xc4, 0xc8, 0x49, 0xee, 0x1a, 0x70, 0xde, 0x18, 0xb5, 0xed, 0x21,
|
||||
/* (2^186)P */ 0x99, 0xdc, 0x06, 0x8f, 0x41, 0x3e, 0xb6, 0x7f, 0xb8, 0xd7, 0x66, 0xc1, 0x99, 0x0d, 0x46, 0xa4, 0x83, 0x0a, 0x52, 0xce, 0x48, 0x52, 0xdd, 0x24, 0x58, 0x83, 0x92, 0x2b, 0x71, 0xad, 0xc3, 0x5e,
|
||||
/* (2^187)P */ 0x0f, 0x93, 0x17, 0xbd, 0x5f, 0x2a, 0x02, 0x15, 0xe3, 0x70, 0x25, 0xd8, 0x77, 0x4a, 0xf6, 0xa4, 0x12, 0x37, 0x78, 0x15, 0x69, 0x8d, 0xbc, 0x12, 0xbb, 0x0a, 0x62, 0xfc, 0xc0, 0x94, 0x81, 0x49,
|
||||
/* (2^188)P */ 0x82, 0x6c, 0x68, 0x55, 0xd2, 0xd9, 0xa2, 0x38, 0xf0, 0x21, 0x3e, 0x19, 0xd9, 0x6b, 0x5c, 0x78, 0x84, 0x54, 0x4a, 0xb2, 0x1a, 0xc8, 0xd5, 0xe4, 0x89, 0x09, 0xe2, 0xb2, 0x60, 0x78, 0x30, 0x56,
|
||||
/* (2^189)P */ 0xc4, 0x74, 0x4d, 0x8b, 0xf7, 0x55, 0x9d, 0x42, 0x31, 0x01, 0x35, 0x43, 0x46, 0x83, 0xf1, 0x22, 0xff, 0x1f, 0xc7, 0x98, 0x45, 0xc2, 0x60, 0x1e, 0xef, 0x83, 0x99, 0x97, 0x14, 0xf0, 0xf2, 0x59,
|
||||
/* (2^190)P */ 0x44, 0x4a, 0x49, 0xeb, 0x56, 0x7d, 0xa4, 0x46, 0x8e, 0xa1, 0x36, 0xd6, 0x54, 0xa8, 0x22, 0x3e, 0x3b, 0x1c, 0x49, 0x74, 0x52, 0xe1, 0x46, 0xb3, 0xe7, 0xcd, 0x90, 0x53, 0x4e, 0xfd, 0xea, 0x2c,
|
||||
/* (2^191)P */ 0x75, 0x66, 0x0d, 0xbe, 0x38, 0x85, 0x8a, 0xba, 0x23, 0x8e, 0x81, 0x50, 0xbb, 0x74, 0x90, 0x4b, 0xc3, 0x04, 0xd3, 0x85, 0x90, 0xb8, 0xda, 0xcb, 0xc4, 0x92, 0x61, 0xe5, 0xe0, 0x4f, 0xa2, 0x61,
|
||||
/* (2^192)P */ 0xcb, 0x5b, 0x52, 0xdb, 0xe6, 0x15, 0x76, 0xcb, 0xca, 0xe4, 0x67, 0xa5, 0x35, 0x8c, 0x7d, 0xdd, 0x69, 0xdd, 0xfc, 0xca, 0x3a, 0x15, 0xb4, 0xe6, 0x66, 0x97, 0x3c, 0x7f, 0x09, 0x8e, 0x66, 0x2d,
|
||||
/* (2^193)P */ 0xf0, 0x5e, 0xe5, 0x5c, 0x26, 0x7e, 0x7e, 0xa5, 0x67, 0xb9, 0xd4, 0x7c, 0x52, 0x4e, 0x9f, 0x5d, 0xe5, 0xd1, 0x2f, 0x49, 0x06, 0x36, 0xc8, 0xfb, 0xae, 0xf7, 0xc3, 0xb7, 0xbe, 0x52, 0x0d, 0x09,
|
||||
/* (2^194)P */ 0x7c, 0x4d, 0x7b, 0x1e, 0x5a, 0x51, 0xb9, 0x09, 0xc0, 0x44, 0xda, 0x99, 0x25, 0x6a, 0x26, 0x1f, 0x04, 0x55, 0xc5, 0xe2, 0x48, 0x95, 0xc4, 0xa1, 0xcc, 0x15, 0x6f, 0x12, 0x87, 0x42, 0xf0, 0x7e,
|
||||
/* (2^195)P */ 0x15, 0xef, 0x30, 0xbd, 0x9d, 0x65, 0xd1, 0xfe, 0x7b, 0x27, 0xe0, 0xc4, 0xee, 0xb9, 0x4a, 0x8b, 0x91, 0x32, 0xdf, 0xa5, 0x36, 0x62, 0x4d, 0x88, 0x88, 0xf7, 0x5c, 0xbf, 0xa6, 0x6e, 0xd9, 0x1f,
|
||||
/* (2^196)P */ 0x9a, 0x0d, 0x19, 0x1f, 0x98, 0x61, 0xa1, 0x42, 0xc1, 0x52, 0x60, 0x7e, 0x50, 0x49, 0xd8, 0x61, 0xd5, 0x2c, 0x5a, 0x28, 0xbf, 0x13, 0xe1, 0x9f, 0xd8, 0x85, 0xad, 0xdb, 0x76, 0xd6, 0x22, 0x7c,
|
||||
/* (2^197)P */ 0x7d, 0xd2, 0xfb, 0x2b, 0xed, 0x70, 0xe7, 0x82, 0xa5, 0xf5, 0x96, 0xe9, 0xec, 0xb2, 0x05, 0x4c, 0x50, 0x01, 0x90, 0xb0, 0xc2, 0xa9, 0x40, 0xcd, 0x64, 0xbf, 0xd9, 0x13, 0x92, 0x31, 0x95, 0x58,
|
||||
/* (2^198)P */ 0x08, 0x2e, 0xea, 0x3f, 0x70, 0x5d, 0xcc, 0xe7, 0x8c, 0x18, 0xe2, 0x58, 0x12, 0x49, 0x0c, 0xb5, 0xf0, 0x5b, 0x20, 0x48, 0xaa, 0x0b, 0xe3, 0xcc, 0x62, 0x2d, 0xa3, 0xcf, 0x9c, 0x65, 0x7c, 0x53,
|
||||
/* (2^199)P */ 0x88, 0xc0, 0xcf, 0x98, 0x3a, 0x62, 0xb6, 0x37, 0xa4, 0xac, 0xd6, 0xa4, 0x1f, 0xed, 0x9b, 0xfe, 0xb0, 0xd1, 0xa8, 0x56, 0x8e, 0x9b, 0xd2, 0x04, 0x75, 0x95, 0x51, 0x0b, 0xc4, 0x71, 0x5f, 0x72,
|
||||
/* (2^200)P */ 0xe6, 0x9c, 0x33, 0xd0, 0x9c, 0xf8, 0xc7, 0x28, 0x8b, 0xc1, 0xdd, 0x69, 0x44, 0xb1, 0x67, 0x83, 0x2c, 0x65, 0xa1, 0xa6, 0x83, 0xda, 0x3a, 0x88, 0x17, 0x6c, 0x4d, 0x03, 0x74, 0x19, 0x5f, 0x58,
|
||||
/* (2^201)P */ 0x88, 0x91, 0xb1, 0xf1, 0x66, 0xb2, 0xcf, 0x89, 0x17, 0x52, 0xc3, 0xe7, 0x63, 0x48, 0x3b, 0xe6, 0x6a, 0x52, 0xc0, 0xb4, 0xa6, 0x9d, 0x8c, 0xd8, 0x35, 0x46, 0x95, 0xf0, 0x9d, 0x5c, 0x03, 0x3e,
|
||||
/* (2^202)P */ 0x9d, 0xde, 0x45, 0xfb, 0x12, 0x54, 0x9d, 0xdd, 0x0d, 0xf4, 0xcf, 0xe4, 0x32, 0x45, 0x68, 0xdd, 0x1c, 0x67, 0x1d, 0x15, 0x9b, 0x99, 0x5c, 0x4b, 0x90, 0xf6, 0xe7, 0x11, 0xc8, 0x2c, 0x8c, 0x2d,
|
||||
/* (2^203)P */ 0x40, 0x5d, 0x05, 0x90, 0x1d, 0xbe, 0x54, 0x7f, 0x40, 0xaf, 0x4a, 0x46, 0xdf, 0xc5, 0x64, 0xa4, 0xbe, 0x17, 0xe9, 0xf0, 0x24, 0x96, 0x97, 0x33, 0x30, 0x6b, 0x35, 0x27, 0xc5, 0x8d, 0x01, 0x2c,
|
||||
/* (2^204)P */ 0xd4, 0xb3, 0x30, 0xe3, 0x24, 0x50, 0x41, 0xa5, 0xd3, 0x52, 0x16, 0x69, 0x96, 0x3d, 0xff, 0x73, 0xf1, 0x59, 0x9b, 0xef, 0xc4, 0x42, 0xec, 0x94, 0x5a, 0x8e, 0xd0, 0x18, 0x16, 0x20, 0x47, 0x07,
|
||||
/* (2^205)P */ 0x53, 0x1c, 0x41, 0xca, 0x8a, 0xa4, 0x6c, 0x4d, 0x19, 0x61, 0xa6, 0xcf, 0x2f, 0x5f, 0x41, 0x66, 0xff, 0x27, 0xe2, 0x51, 0x00, 0xd4, 0x4d, 0x9c, 0xeb, 0xf7, 0x02, 0x9a, 0xc0, 0x0b, 0x81, 0x59,
|
||||
/* (2^206)P */ 0x1d, 0x10, 0xdc, 0xb3, 0x71, 0xb1, 0x7e, 0x2a, 0x8e, 0xf6, 0xfe, 0x9f, 0xb9, 0x5a, 0x1c, 0x44, 0xea, 0x59, 0xb3, 0x93, 0x9b, 0x5c, 0x02, 0x32, 0x2f, 0x11, 0x9d, 0x1e, 0xa7, 0xe0, 0x8c, 0x5e,
|
||||
/* (2^207)P */ 0xfd, 0x03, 0x95, 0x42, 0x92, 0xcb, 0xcc, 0xbf, 0x55, 0x5d, 0x09, 0x2f, 0x75, 0xba, 0x71, 0xd2, 0x1e, 0x09, 0x2d, 0x97, 0x5e, 0xad, 0x5e, 0x34, 0xba, 0x03, 0x31, 0xa8, 0x11, 0xdf, 0xc8, 0x18,
|
||||
/* (2^208)P */ 0x4c, 0x0f, 0xed, 0x9a, 0x9a, 0x94, 0xcd, 0x90, 0x7e, 0xe3, 0x60, 0x66, 0xcb, 0xf4, 0xd1, 0xc5, 0x0b, 0x2e, 0xc5, 0x56, 0x2d, 0xc5, 0xca, 0xb8, 0x0d, 0x8e, 0x80, 0xc5, 0x00, 0xe4, 0x42, 0x6e,
|
||||
/* (2^209)P */ 0x23, 0xfd, 0xae, 0xee, 0x66, 0x69, 0xb4, 0xa3, 0xca, 0xcd, 0x9e, 0xe3, 0x0b, 0x1f, 0x4f, 0x0c, 0x1d, 0xa5, 0x83, 0xd6, 0xc9, 0xc8, 0x9d, 0x18, 0x1b, 0x35, 0x09, 0x4c, 0x05, 0x7f, 0xf2, 0x51,
|
||||
/* (2^210)P */ 0x82, 0x06, 0x32, 0x2a, 0xcd, 0x7c, 0x48, 0x4c, 0x96, 0x1c, 0xdf, 0xb3, 0x5b, 0xa9, 0x7e, 0x58, 0xe8, 0xb8, 0x5c, 0x55, 0x9e, 0xf7, 0xcc, 0xc8, 0x3d, 0xd7, 0x06, 0xa2, 0x29, 0xc8, 0x7d, 0x54,
|
||||
/* (2^211)P */ 0x06, 0x9b, 0xc3, 0x80, 0xcd, 0xa6, 0x22, 0xb8, 0xc6, 0xd4, 0x00, 0x20, 0x73, 0x54, 0x6d, 0xe9, 0x4d, 0x3b, 0x46, 0x91, 0x6f, 0x5b, 0x53, 0x28, 0x1d, 0x6e, 0x48, 0xe2, 0x60, 0x46, 0x8f, 0x22,
|
||||
/* (2^212)P */ 0xbf, 0x3a, 0x8d, 0xde, 0x38, 0x95, 0x79, 0x98, 0x6e, 0xca, 0xeb, 0x45, 0x00, 0x33, 0xd8, 0x8c, 0x38, 0xe7, 0x21, 0x82, 0x00, 0x2a, 0x95, 0x79, 0xbb, 0xd2, 0x5c, 0x53, 0xa7, 0xe1, 0x22, 0x43,
|
||||
/* (2^213)P */ 0x1c, 0x80, 0xd1, 0x19, 0x18, 0xc1, 0x14, 0xb1, 0xc7, 0x5e, 0x3f, 0x4f, 0xd8, 0xe4, 0x16, 0x20, 0x4c, 0x0f, 0x26, 0x09, 0xf4, 0x2d, 0x0e, 0xdd, 0x66, 0x72, 0x5f, 0xae, 0xc0, 0x62, 0xc3, 0x5e,
|
||||
/* (2^214)P */ 0xee, 0xb4, 0xb2, 0xb8, 0x18, 0x2b, 0x46, 0xc0, 0xfb, 0x1a, 0x4d, 0x27, 0x50, 0xd9, 0xc8, 0x7c, 0xd2, 0x02, 0x6b, 0x43, 0x05, 0x71, 0x5f, 0xf2, 0xd3, 0xcc, 0xf9, 0xbf, 0xdc, 0xf8, 0xbb, 0x43,
|
||||
/* (2^215)P */ 0xdf, 0xe9, 0x39, 0xa0, 0x67, 0x17, 0xad, 0xb6, 0x83, 0x35, 0x9d, 0xf6, 0xa8, 0x4d, 0x71, 0xb0, 0xf5, 0x31, 0x29, 0xb4, 0x18, 0xfa, 0x55, 0x5e, 0x61, 0x09, 0xc6, 0x33, 0x8f, 0x55, 0xd5, 0x4e,
|
||||
/* (2^216)P */ 0xdd, 0xa5, 0x47, 0xc6, 0x01, 0x79, 0xe3, 0x1f, 0x57, 0xd3, 0x81, 0x80, 0x1f, 0xdf, 0x3d, 0x59, 0xa6, 0xd7, 0x3f, 0x81, 0xfd, 0xa4, 0x49, 0x02, 0x61, 0xaf, 0x9c, 0x4e, 0x27, 0xca, 0xac, 0x69,
|
||||
/* (2^217)P */ 0xc9, 0x21, 0x07, 0x33, 0xea, 0xa3, 0x7b, 0x04, 0xa0, 0x1e, 0x7e, 0x0e, 0xc2, 0x3f, 0x42, 0x83, 0x60, 0x4a, 0x31, 0x01, 0xaf, 0xc0, 0xf4, 0x1d, 0x27, 0x95, 0x28, 0x89, 0xab, 0x2d, 0xa6, 0x09,
|
||||
/* (2^218)P */ 0x00, 0xcb, 0xc6, 0x9c, 0xa4, 0x25, 0xb3, 0xa5, 0xb6, 0x6c, 0xb5, 0x54, 0xc6, 0x5d, 0x4b, 0xe9, 0xa0, 0x94, 0xc9, 0xad, 0x79, 0x87, 0xe2, 0x3b, 0xad, 0x4a, 0x3a, 0xba, 0xf8, 0xe8, 0x96, 0x42,
|
||||
/* (2^219)P */ 0xab, 0x1e, 0x45, 0x1e, 0x76, 0x89, 0x86, 0x32, 0x4a, 0x59, 0x59, 0xff, 0x8b, 0x59, 0x4d, 0x2e, 0x4a, 0x08, 0xa7, 0xd7, 0x53, 0x68, 0xb9, 0x49, 0xa8, 0x20, 0x14, 0x60, 0x19, 0xa3, 0x80, 0x49,
|
||||
/* (2^220)P */ 0x42, 0x2c, 0x55, 0x2f, 0xe1, 0xb9, 0x65, 0x95, 0x96, 0xfe, 0x00, 0x71, 0xdb, 0x18, 0x53, 0x8a, 0xd7, 0xd0, 0xad, 0x43, 0x4d, 0x0b, 0xc9, 0x05, 0xda, 0x4e, 0x5d, 0x6a, 0xd6, 0x4c, 0x8b, 0x53,
|
||||
/* (2^221)P */ 0x9f, 0x03, 0x9f, 0xe8, 0xc3, 0x4f, 0xe9, 0xf4, 0x45, 0x80, 0x61, 0x6f, 0xf2, 0x9a, 0x2c, 0x59, 0x50, 0x95, 0x4b, 0xfd, 0xb5, 0x6e, 0xa3, 0x08, 0x19, 0x14, 0xed, 0xc2, 0xf6, 0xfa, 0xff, 0x25,
|
||||
/* (2^222)P */ 0x54, 0xd3, 0x79, 0xcc, 0x59, 0x44, 0x43, 0x34, 0x6b, 0x47, 0xd5, 0xb1, 0xb4, 0xbf, 0xec, 0xee, 0x99, 0x5d, 0x61, 0x61, 0xa0, 0x34, 0xeb, 0xdd, 0x73, 0xb7, 0x64, 0xeb, 0xcc, 0xce, 0x29, 0x51,
|
||||
/* (2^223)P */ 0x20, 0x35, 0x99, 0x94, 0x58, 0x21, 0x43, 0xee, 0x3b, 0x0b, 0x4c, 0xf1, 0x7c, 0x9c, 0x2f, 0x77, 0xd5, 0xda, 0xbe, 0x06, 0xe3, 0xfc, 0xe2, 0xd2, 0x97, 0x6a, 0xf0, 0x46, 0xb5, 0x42, 0x5f, 0x71,
|
||||
/* (2^224)P */ 0x1a, 0x5f, 0x5b, 0xda, 0xce, 0xcd, 0x4e, 0x43, 0xa9, 0x41, 0x97, 0xa4, 0x15, 0x71, 0xa1, 0x0d, 0x2e, 0xad, 0xed, 0x73, 0x7c, 0xd7, 0x0b, 0x68, 0x41, 0x90, 0xdd, 0x4e, 0x35, 0x02, 0x7c, 0x48,
|
||||
/* (2^225)P */ 0xc4, 0xd9, 0x0e, 0xa7, 0xf3, 0xef, 0xef, 0xb8, 0x02, 0xe3, 0x57, 0xe8, 0xa3, 0x2a, 0xa3, 0x56, 0xa0, 0xa5, 0xa2, 0x48, 0xbd, 0x68, 0x3a, 0xdf, 0x44, 0xc4, 0x76, 0x31, 0xb7, 0x50, 0xf6, 0x07,
|
||||
/* (2^226)P */ 0xb1, 0xcc, 0xe0, 0x26, 0x16, 0x9b, 0x8b, 0xe3, 0x36, 0xfb, 0x09, 0x8b, 0xc1, 0x53, 0xe0, 0x79, 0x64, 0x49, 0xf9, 0xc9, 0x19, 0x03, 0xd9, 0x56, 0xc4, 0xf5, 0x9f, 0xac, 0xe7, 0x41, 0xa9, 0x1c,
|
||||
/* (2^227)P */ 0xbb, 0xa0, 0x2f, 0x16, 0x29, 0xdf, 0xc4, 0x49, 0x05, 0x33, 0xb3, 0x82, 0x32, 0xcf, 0x88, 0x84, 0x7d, 0x43, 0xbb, 0xca, 0x14, 0xda, 0xdf, 0x95, 0x86, 0xad, 0xd5, 0x64, 0x82, 0xf7, 0x91, 0x33,
|
||||
/* (2^228)P */ 0x5d, 0x09, 0xb5, 0xe2, 0x6a, 0xe0, 0x9a, 0x72, 0x46, 0xa9, 0x59, 0x32, 0xd7, 0x58, 0x8a, 0xd5, 0xed, 0x21, 0x39, 0xd1, 0x62, 0x42, 0x83, 0xe9, 0x92, 0xb5, 0x4b, 0xa5, 0xfa, 0xda, 0xfe, 0x27,
|
||||
/* (2^229)P */ 0xbb, 0x48, 0xad, 0x29, 0xb8, 0xc5, 0x9d, 0xa9, 0x60, 0xe2, 0x9e, 0x49, 0x42, 0x57, 0x02, 0x5f, 0xfd, 0x13, 0x75, 0x5d, 0xcd, 0x8e, 0x2c, 0x80, 0x38, 0xd9, 0x6d, 0x3f, 0xef, 0xb3, 0xce, 0x78,
|
||||
/* (2^230)P */ 0x94, 0x5d, 0x13, 0x8a, 0x4f, 0xf4, 0x42, 0xc3, 0xa3, 0xdd, 0x8c, 0x82, 0x44, 0xdb, 0x9e, 0x7b, 0xe7, 0xcf, 0x37, 0x05, 0x1a, 0xd1, 0x36, 0x94, 0xc8, 0xb4, 0x1a, 0xec, 0x64, 0xb1, 0x64, 0x50,
|
||||
/* (2^231)P */ 0xfc, 0xb2, 0x7e, 0xd3, 0xcf, 0xec, 0x20, 0x70, 0xfc, 0x25, 0x0d, 0xd9, 0x3e, 0xea, 0x31, 0x1f, 0x34, 0xbb, 0xa1, 0xdf, 0x7b, 0x0d, 0x93, 0x1b, 0x44, 0x30, 0x11, 0x48, 0x7a, 0x46, 0x44, 0x53,
|
||||
/* (2^232)P */ 0xfb, 0x6d, 0x5e, 0xf2, 0x70, 0x31, 0x07, 0x70, 0xc8, 0x4c, 0x11, 0x50, 0x1a, 0xdc, 0x85, 0xe3, 0x00, 0x4f, 0xfc, 0xc8, 0x8a, 0x69, 0x48, 0x23, 0xd8, 0x40, 0xdd, 0x84, 0x52, 0xa5, 0x77, 0x2a,
|
||||
/* (2^233)P */ 0xe4, 0x6c, 0x8c, 0xc9, 0xe0, 0xaf, 0x06, 0xfe, 0xe4, 0xd6, 0xdf, 0xdd, 0x96, 0xdf, 0x35, 0xc2, 0xd3, 0x1e, 0xbf, 0x33, 0x1e, 0xd0, 0x28, 0x14, 0xaf, 0xbd, 0x00, 0x93, 0xec, 0x68, 0x57, 0x78,
|
||||
/* (2^234)P */ 0x3b, 0xb6, 0xde, 0x91, 0x7a, 0xe5, 0x02, 0x97, 0x80, 0x8b, 0xce, 0xe5, 0xbf, 0xb8, 0xbd, 0x61, 0xac, 0x58, 0x1d, 0x3d, 0x6f, 0x42, 0x5b, 0x64, 0xbc, 0x57, 0xa5, 0x27, 0x22, 0xa8, 0x04, 0x48,
|
||||
/* (2^235)P */ 0x01, 0x26, 0x4d, 0xb4, 0x8a, 0x04, 0x57, 0x8e, 0x35, 0x69, 0x3a, 0x4b, 0x1a, 0x50, 0xd6, 0x68, 0x93, 0xc2, 0xe1, 0xf9, 0xc3, 0x9e, 0x9c, 0xc3, 0xe2, 0x63, 0xde, 0xd4, 0x57, 0xf2, 0x72, 0x41,
|
||||
/* (2^236)P */ 0x01, 0x64, 0x0c, 0x33, 0x50, 0xb4, 0x68, 0xd3, 0x91, 0x23, 0x8f, 0x41, 0x17, 0x30, 0x0d, 0x04, 0x0d, 0xd9, 0xb7, 0x90, 0x60, 0xbb, 0x34, 0x2c, 0x1f, 0xd5, 0xdf, 0x8f, 0x22, 0x49, 0xf6, 0x16,
|
||||
/* (2^237)P */ 0xf5, 0x8e, 0x92, 0x2b, 0x8e, 0x81, 0xa6, 0xbe, 0x72, 0x1e, 0xc1, 0xcd, 0x91, 0xcf, 0x8c, 0xe2, 0xcd, 0x36, 0x7a, 0xe7, 0x68, 0xaa, 0x4a, 0x59, 0x0f, 0xfd, 0x7f, 0x6c, 0x80, 0x34, 0x30, 0x31,
|
||||
/* (2^238)P */ 0x65, 0xbd, 0x49, 0x22, 0xac, 0x27, 0x9d, 0x8a, 0x12, 0x95, 0x8e, 0x01, 0x64, 0xb4, 0xa3, 0x19, 0xc7, 0x7e, 0xb3, 0x52, 0xf3, 0xcf, 0x6c, 0xc2, 0x21, 0x7b, 0x79, 0x1d, 0x34, 0x68, 0x6f, 0x05,
|
||||
/* (2^239)P */ 0x27, 0x23, 0xfd, 0x7e, 0x75, 0xd6, 0x79, 0x5e, 0x15, 0xfe, 0x3a, 0x55, 0xb6, 0xbc, 0xbd, 0xfa, 0x60, 0x5a, 0xaf, 0x6e, 0x2c, 0x22, 0xe7, 0xd3, 0x3b, 0x74, 0xae, 0x4d, 0x6d, 0xc7, 0x46, 0x70,
|
||||
/* (2^240)P */ 0x55, 0x4a, 0x8d, 0xb1, 0x72, 0xe8, 0x0b, 0x66, 0x96, 0x14, 0x4e, 0x57, 0x18, 0x25, 0x99, 0x19, 0xbb, 0xdc, 0x2b, 0x30, 0x3a, 0x05, 0x03, 0xc1, 0x8e, 0x8e, 0x21, 0x0b, 0x80, 0xe9, 0xd8, 0x3e,
|
||||
/* (2^241)P */ 0x3e, 0xe0, 0x75, 0xfa, 0x39, 0x92, 0x0b, 0x7b, 0x83, 0xc0, 0x33, 0x46, 0x68, 0xfb, 0xe9, 0xef, 0x93, 0x77, 0x1a, 0x39, 0xbe, 0x5f, 0xa3, 0x98, 0x34, 0xfe, 0xd0, 0xe2, 0x0f, 0x51, 0x65, 0x60,
|
||||
/* (2^242)P */ 0x0c, 0xad, 0xab, 0x48, 0x85, 0x66, 0xcb, 0x55, 0x27, 0xe5, 0x87, 0xda, 0x48, 0x45, 0x58, 0xb4, 0xdd, 0xc1, 0x07, 0x01, 0xea, 0xec, 0x43, 0x2c, 0x35, 0xde, 0x72, 0x93, 0x80, 0x28, 0x60, 0x52,
|
||||
/* (2^243)P */ 0x1f, 0x3b, 0x21, 0xf9, 0x6a, 0xc5, 0x15, 0x34, 0xdb, 0x98, 0x7e, 0x01, 0x4d, 0x1a, 0xee, 0x5b, 0x9b, 0x70, 0xcf, 0xb5, 0x05, 0xb1, 0xf6, 0x13, 0xb6, 0x9a, 0xb2, 0x82, 0x34, 0x0e, 0xf2, 0x5f,
|
||||
/* (2^244)P */ 0x90, 0x6c, 0x2e, 0xcc, 0x75, 0x9c, 0xa2, 0x0a, 0x06, 0xe2, 0x70, 0x3a, 0xca, 0x73, 0x7d, 0xfc, 0x15, 0xc5, 0xb5, 0xc4, 0x8f, 0xc3, 0x9f, 0x89, 0x07, 0xc2, 0xff, 0x24, 0xb1, 0x86, 0x03, 0x25,
|
||||
/* (2^245)P */ 0x56, 0x2b, 0x3d, 0xae, 0xd5, 0x28, 0xea, 0x54, 0xce, 0x60, 0xde, 0xd6, 0x9d, 0x14, 0x13, 0x99, 0xc1, 0xd6, 0x06, 0x8f, 0xc5, 0x4f, 0x69, 0x16, 0xc7, 0x8f, 0x01, 0xeb, 0x75, 0x39, 0xb2, 0x46,
|
||||
/* (2^246)P */ 0xe2, 0xb4, 0xb7, 0xb4, 0x0f, 0x6a, 0x0a, 0x47, 0xde, 0x53, 0x72, 0x8f, 0x5a, 0x47, 0x92, 0x5d, 0xdb, 0x3a, 0xbd, 0x2f, 0xb5, 0xe5, 0xee, 0xab, 0x68, 0x69, 0x80, 0xa0, 0x01, 0x08, 0xa2, 0x7f,
|
||||
/* (2^247)P */ 0xd2, 0x14, 0x77, 0x9f, 0xf1, 0xfa, 0xf3, 0x76, 0xc3, 0x60, 0x46, 0x2f, 0xc1, 0x40, 0xe8, 0xb3, 0x4e, 0x74, 0x12, 0xf2, 0x8d, 0xcd, 0xb4, 0x0f, 0xd2, 0x2d, 0x3a, 0x1d, 0x25, 0x5a, 0x06, 0x4b,
|
||||
/* (2^248)P */ 0x4a, 0xcd, 0x77, 0x3d, 0x38, 0xde, 0xeb, 0x5c, 0xb1, 0x9c, 0x2c, 0x88, 0xdf, 0x39, 0xdf, 0x6a, 0x59, 0xf7, 0x9a, 0xb0, 0x2e, 0x24, 0xdd, 0xa2, 0x22, 0x64, 0x5f, 0x0e, 0xe5, 0xc0, 0x47, 0x31,
|
||||
/* (2^249)P */ 0xdb, 0x50, 0x13, 0x1d, 0x10, 0xa5, 0x4c, 0x16, 0x62, 0xc9, 0x3f, 0xc3, 0x79, 0x34, 0xd1, 0xf8, 0x08, 0xda, 0xe5, 0x13, 0x4d, 0xce, 0x40, 0xe6, 0xba, 0xf8, 0x61, 0x50, 0xc4, 0xe0, 0xde, 0x4b,
|
||||
/* (2^250)P */ 0xc9, 0xb1, 0xed, 0xa4, 0xc1, 0x6d, 0xc4, 0xd7, 0x8a, 0xd9, 0x7f, 0x43, 0xb6, 0xd7, 0x14, 0x55, 0x0b, 0xc0, 0xa1, 0xb2, 0x6b, 0x2f, 0x94, 0x58, 0x0e, 0x71, 0x70, 0x1d, 0xab, 0xb2, 0xff, 0x2d,
|
||||
/* (2^251)P */ 0x68, 0x6d, 0x8b, 0xc1, 0x2f, 0xcf, 0xdf, 0xcc, 0x67, 0x61, 0x80, 0xb7, 0xa8, 0xcb, 0xeb, 0xa8, 0xe3, 0x37, 0x29, 0x5e, 0xf9, 0x97, 0x06, 0x98, 0x8c, 0x6e, 0x12, 0xd0, 0x1c, 0xba, 0xfb, 0x02,
|
||||
/* (2^252)P */ 0x65, 0x45, 0xff, 0xad, 0x60, 0xc3, 0x98, 0xcb, 0x19, 0x15, 0xdb, 0x4b, 0xd2, 0x01, 0x71, 0x44, 0xd5, 0x15, 0xfb, 0x75, 0x74, 0xc8, 0xc4, 0x98, 0x7d, 0xa2, 0x22, 0x6e, 0x6d, 0xc7, 0xf8, 0x05,
|
||||
/* (2^253)P */ 0x94, 0xf4, 0xb9, 0xfe, 0xdf, 0xe5, 0x69, 0xab, 0x75, 0x6b, 0x40, 0x18, 0x9d, 0xc7, 0x09, 0xae, 0x1d, 0x2d, 0xa4, 0x94, 0xfb, 0x45, 0x9b, 0x19, 0x84, 0xfa, 0x2a, 0xae, 0xeb, 0x0a, 0x71, 0x79,
|
||||
/* (2^254)P */ 0xdf, 0xd2, 0x34, 0xf3, 0xa7, 0xed, 0xad, 0xa6, 0xb4, 0x57, 0x2a, 0xaf, 0x51, 0x9c, 0xde, 0x7b, 0xa8, 0xea, 0xdc, 0x86, 0x4f, 0xc6, 0x8f, 0xa9, 0x7b, 0xd0, 0x0e, 0xc2, 0x35, 0x03, 0xbe, 0x6b,
|
||||
/* (2^255)P */ 0x44, 0x43, 0x98, 0x53, 0xbe, 0xdc, 0x7f, 0x66, 0xa8, 0x49, 0x59, 0x00, 0x1c, 0xbc, 0x72, 0x07, 0x8e, 0xd6, 0xbe, 0x4e, 0x9f, 0xa4, 0x07, 0xba, 0xbf, 0x30, 0xdf, 0xba, 0x85, 0xb0, 0xa7, 0x1f,
|
||||
}
|
||||
104
vendor/github.com/cloudflare/circl/dh/x448/curve.go
generated
vendored
104
vendor/github.com/cloudflare/circl/dh/x448/curve.go
generated
vendored
@ -1,104 +0,0 @@
|
||||
package x448
|
||||
|
||||
import (
|
||||
fp "github.com/cloudflare/circl/math/fp448"
|
||||
)
|
||||
|
||||
// ladderJoye calculates a fixed-point multiplication with the generator point.
|
||||
// The algorithm is the right-to-left Joye's ladder as described
|
||||
// in "How to precompute a ladder" in SAC'2017.
|
||||
func ladderJoye(k *Key) {
|
||||
w := [5]fp.Elt{} // [mu,x1,z1,x2,z2] order must be preserved.
|
||||
w[1] = fp.Elt{ // x1 = S
|
||||
0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
}
|
||||
fp.SetOne(&w[2]) // z1 = 1
|
||||
w[3] = fp.Elt{ // x2 = G-S
|
||||
0x20, 0x27, 0x9d, 0xc9, 0x7d, 0x19, 0xb1, 0xac,
|
||||
0xf8, 0xba, 0x69, 0x1c, 0xff, 0x33, 0xac, 0x23,
|
||||
0x51, 0x1b, 0xce, 0x3a, 0x64, 0x65, 0xbd, 0xf1,
|
||||
0x23, 0xf8, 0xc1, 0x84, 0x9d, 0x45, 0x54, 0x29,
|
||||
0x67, 0xb9, 0x81, 0x1c, 0x03, 0xd1, 0xcd, 0xda,
|
||||
0x7b, 0xeb, 0xff, 0x1a, 0x88, 0x03, 0xcf, 0x3a,
|
||||
0x42, 0x44, 0x32, 0x01, 0x25, 0xb7, 0xfa, 0xf0,
|
||||
}
|
||||
fp.SetOne(&w[4]) // z2 = 1
|
||||
|
||||
const n = 448
|
||||
const h = 2
|
||||
swap := uint(1)
|
||||
for s := 0; s < n-h; s++ {
|
||||
i := (s + h) / 8
|
||||
j := (s + h) % 8
|
||||
bit := uint((k[i] >> uint(j)) & 1)
|
||||
copy(w[0][:], tableGenerator[s*Size:(s+1)*Size])
|
||||
diffAdd(&w, swap^bit)
|
||||
swap = bit
|
||||
}
|
||||
for s := 0; s < h; s++ {
|
||||
double(&w[1], &w[2])
|
||||
}
|
||||
toAffine((*[fp.Size]byte)(k), &w[1], &w[2])
|
||||
}
|
||||
|
||||
// ladderMontgomery calculates a generic scalar point multiplication
|
||||
// The algorithm implemented is the left-to-right Montgomery's ladder.
|
||||
func ladderMontgomery(k, xP *Key) {
|
||||
w := [5]fp.Elt{} // [x1, x2, z2, x3, z3] order must be preserved.
|
||||
w[0] = *(*fp.Elt)(xP) // x1 = xP
|
||||
fp.SetOne(&w[1]) // x2 = 1
|
||||
w[3] = *(*fp.Elt)(xP) // x3 = xP
|
||||
fp.SetOne(&w[4]) // z3 = 1
|
||||
|
||||
move := uint(0)
|
||||
for s := 448 - 1; s >= 0; s-- {
|
||||
i := s / 8
|
||||
j := s % 8
|
||||
bit := uint((k[i] >> uint(j)) & 1)
|
||||
ladderStep(&w, move^bit)
|
||||
move = bit
|
||||
}
|
||||
toAffine((*[fp.Size]byte)(k), &w[1], &w[2])
|
||||
}
|
||||
|
||||
func toAffine(k *[fp.Size]byte, x, z *fp.Elt) {
|
||||
fp.Inv(z, z)
|
||||
fp.Mul(x, x, z)
|
||||
_ = fp.ToBytes(k[:], x)
|
||||
}
|
||||
|
||||
var lowOrderPoints = [3]fp.Elt{
|
||||
{ /* (0,_,1) point of order 2 on Curve448 */
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
},
|
||||
{ /* (1,_,1) a point of order 4 on the twist of Curve448 */
|
||||
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
},
|
||||
{ /* (-1,_,1) point of order 4 on Curve448 */
|
||||
0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
},
|
||||
}
|
||||
30
vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.go
generated
vendored
30
vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.go
generated
vendored
@ -1,30 +0,0 @@
|
||||
//go:build amd64 && !purego
|
||||
// +build amd64,!purego
|
||||
|
||||
package x448
|
||||
|
||||
import (
|
||||
fp "github.com/cloudflare/circl/math/fp448"
|
||||
"golang.org/x/sys/cpu"
|
||||
)
|
||||
|
||||
var hasBmi2Adx = cpu.X86.HasBMI2 && cpu.X86.HasADX
|
||||
|
||||
var _ = hasBmi2Adx
|
||||
|
||||
func double(x, z *fp.Elt) { doubleAmd64(x, z) }
|
||||
func diffAdd(w *[5]fp.Elt, b uint) { diffAddAmd64(w, b) }
|
||||
func ladderStep(w *[5]fp.Elt, b uint) { ladderStepAmd64(w, b) }
|
||||
func mulA24(z, x *fp.Elt) { mulA24Amd64(z, x) }
|
||||
|
||||
//go:noescape
|
||||
func doubleAmd64(x, z *fp.Elt)
|
||||
|
||||
//go:noescape
|
||||
func diffAddAmd64(w *[5]fp.Elt, b uint)
|
||||
|
||||
//go:noescape
|
||||
func ladderStepAmd64(w *[5]fp.Elt, b uint)
|
||||
|
||||
//go:noescape
|
||||
func mulA24Amd64(z, x *fp.Elt)
|
||||
111
vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.h
generated
vendored
111
vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.h
generated
vendored
@ -1,111 +0,0 @@
|
||||
#define ladderStepLeg \
|
||||
addSub(x2,z2) \
|
||||
addSub(x3,z3) \
|
||||
integerMulLeg(b0,x2,z3) \
|
||||
integerMulLeg(b1,x3,z2) \
|
||||
reduceFromDoubleLeg(t0,b0) \
|
||||
reduceFromDoubleLeg(t1,b1) \
|
||||
addSub(t0,t1) \
|
||||
cselect(x2,x3,regMove) \
|
||||
cselect(z2,z3,regMove) \
|
||||
integerSqrLeg(b0,t0) \
|
||||
integerSqrLeg(b1,t1) \
|
||||
reduceFromDoubleLeg(x3,b0) \
|
||||
reduceFromDoubleLeg(z3,b1) \
|
||||
integerMulLeg(b0,x1,z3) \
|
||||
reduceFromDoubleLeg(z3,b0) \
|
||||
integerSqrLeg(b0,x2) \
|
||||
integerSqrLeg(b1,z2) \
|
||||
reduceFromDoubleLeg(x2,b0) \
|
||||
reduceFromDoubleLeg(z2,b1) \
|
||||
subtraction(t0,x2,z2) \
|
||||
multiplyA24Leg(t1,t0) \
|
||||
additionLeg(t1,t1,z2) \
|
||||
integerMulLeg(b0,x2,z2) \
|
||||
integerMulLeg(b1,t0,t1) \
|
||||
reduceFromDoubleLeg(x2,b0) \
|
||||
reduceFromDoubleLeg(z2,b1)
|
||||
|
||||
#define ladderStepBmi2Adx \
|
||||
addSub(x2,z2) \
|
||||
addSub(x3,z3) \
|
||||
integerMulAdx(b0,x2,z3) \
|
||||
integerMulAdx(b1,x3,z2) \
|
||||
reduceFromDoubleAdx(t0,b0) \
|
||||
reduceFromDoubleAdx(t1,b1) \
|
||||
addSub(t0,t1) \
|
||||
cselect(x2,x3,regMove) \
|
||||
cselect(z2,z3,regMove) \
|
||||
integerSqrAdx(b0,t0) \
|
||||
integerSqrAdx(b1,t1) \
|
||||
reduceFromDoubleAdx(x3,b0) \
|
||||
reduceFromDoubleAdx(z3,b1) \
|
||||
integerMulAdx(b0,x1,z3) \
|
||||
reduceFromDoubleAdx(z3,b0) \
|
||||
integerSqrAdx(b0,x2) \
|
||||
integerSqrAdx(b1,z2) \
|
||||
reduceFromDoubleAdx(x2,b0) \
|
||||
reduceFromDoubleAdx(z2,b1) \
|
||||
subtraction(t0,x2,z2) \
|
||||
multiplyA24Adx(t1,t0) \
|
||||
additionAdx(t1,t1,z2) \
|
||||
integerMulAdx(b0,x2,z2) \
|
||||
integerMulAdx(b1,t0,t1) \
|
||||
reduceFromDoubleAdx(x2,b0) \
|
||||
reduceFromDoubleAdx(z2,b1)
|
||||
|
||||
#define difAddLeg \
|
||||
addSub(x1,z1) \
|
||||
integerMulLeg(b0,z1,ui) \
|
||||
reduceFromDoubleLeg(z1,b0) \
|
||||
addSub(x1,z1) \
|
||||
integerSqrLeg(b0,x1) \
|
||||
integerSqrLeg(b1,z1) \
|
||||
reduceFromDoubleLeg(x1,b0) \
|
||||
reduceFromDoubleLeg(z1,b1) \
|
||||
integerMulLeg(b0,x1,z2) \
|
||||
integerMulLeg(b1,z1,x2) \
|
||||
reduceFromDoubleLeg(x1,b0) \
|
||||
reduceFromDoubleLeg(z1,b1)
|
||||
|
||||
#define difAddBmi2Adx \
|
||||
addSub(x1,z1) \
|
||||
integerMulAdx(b0,z1,ui) \
|
||||
reduceFromDoubleAdx(z1,b0) \
|
||||
addSub(x1,z1) \
|
||||
integerSqrAdx(b0,x1) \
|
||||
integerSqrAdx(b1,z1) \
|
||||
reduceFromDoubleAdx(x1,b0) \
|
||||
reduceFromDoubleAdx(z1,b1) \
|
||||
integerMulAdx(b0,x1,z2) \
|
||||
integerMulAdx(b1,z1,x2) \
|
||||
reduceFromDoubleAdx(x1,b0) \
|
||||
reduceFromDoubleAdx(z1,b1)
|
||||
|
||||
#define doubleLeg \
|
||||
addSub(x1,z1) \
|
||||
integerSqrLeg(b0,x1) \
|
||||
integerSqrLeg(b1,z1) \
|
||||
reduceFromDoubleLeg(x1,b0) \
|
||||
reduceFromDoubleLeg(z1,b1) \
|
||||
subtraction(t0,x1,z1) \
|
||||
multiplyA24Leg(t1,t0) \
|
||||
additionLeg(t1,t1,z1) \
|
||||
integerMulLeg(b0,x1,z1) \
|
||||
integerMulLeg(b1,t0,t1) \
|
||||
reduceFromDoubleLeg(x1,b0) \
|
||||
reduceFromDoubleLeg(z1,b1)
|
||||
|
||||
#define doubleBmi2Adx \
|
||||
addSub(x1,z1) \
|
||||
integerSqrAdx(b0,x1) \
|
||||
integerSqrAdx(b1,z1) \
|
||||
reduceFromDoubleAdx(x1,b0) \
|
||||
reduceFromDoubleAdx(z1,b1) \
|
||||
subtraction(t0,x1,z1) \
|
||||
multiplyA24Adx(t1,t0) \
|
||||
additionAdx(t1,t1,z1) \
|
||||
integerMulAdx(b0,x1,z1) \
|
||||
integerMulAdx(b1,t0,t1) \
|
||||
reduceFromDoubleAdx(x1,b0) \
|
||||
reduceFromDoubleAdx(z1,b1)
|
||||
193
vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.s
generated
vendored
193
vendor/github.com/cloudflare/circl/dh/x448/curve_amd64.s
generated
vendored
@ -1,193 +0,0 @@
|
||||
// +build amd64
|
||||
|
||||
#include "textflag.h"
|
||||
|
||||
// Depends on circl/math/fp448 package
|
||||
#include "../../math/fp448/fp_amd64.h"
|
||||
#include "curve_amd64.h"
|
||||
|
||||
// CTE_A24 is (A+2)/4 from Curve448
|
||||
#define CTE_A24 39082
|
||||
|
||||
#define Size 56
|
||||
|
||||
// multiplyA24Leg multiplies x times CTE_A24 and stores in z
|
||||
// Uses: AX, DX, R8-R15, FLAGS
|
||||
// Instr: x86_64, cmov, adx
|
||||
#define multiplyA24Leg(z,x) \
|
||||
MOVQ $CTE_A24, R15; \
|
||||
MOVQ 0+x, AX; MULQ R15; MOVQ AX, R8; ;;;;;;;;;;;; MOVQ DX, R9; \
|
||||
MOVQ 8+x, AX; MULQ R15; ADDQ AX, R9; ADCQ $0, DX; MOVQ DX, R10; \
|
||||
MOVQ 16+x, AX; MULQ R15; ADDQ AX, R10; ADCQ $0, DX; MOVQ DX, R11; \
|
||||
MOVQ 24+x, AX; MULQ R15; ADDQ AX, R11; ADCQ $0, DX; MOVQ DX, R12; \
|
||||
MOVQ 32+x, AX; MULQ R15; ADDQ AX, R12; ADCQ $0, DX; MOVQ DX, R13; \
|
||||
MOVQ 40+x, AX; MULQ R15; ADDQ AX, R13; ADCQ $0, DX; MOVQ DX, R14; \
|
||||
MOVQ 48+x, AX; MULQ R15; ADDQ AX, R14; ADCQ $0, DX; \
|
||||
MOVQ DX, AX; \
|
||||
SHLQ $32, AX; \
|
||||
ADDQ DX, R8; MOVQ $0, DX; \
|
||||
ADCQ $0, R9; \
|
||||
ADCQ $0, R10; \
|
||||
ADCQ AX, R11; \
|
||||
ADCQ $0, R12; \
|
||||
ADCQ $0, R13; \
|
||||
ADCQ $0, R14; \
|
||||
ADCQ $0, DX; \
|
||||
MOVQ DX, AX; \
|
||||
SHLQ $32, AX; \
|
||||
ADDQ DX, R8; \
|
||||
ADCQ $0, R9; \
|
||||
ADCQ $0, R10; \
|
||||
ADCQ AX, R11; \
|
||||
ADCQ $0, R12; \
|
||||
ADCQ $0, R13; \
|
||||
ADCQ $0, R14; \
|
||||
MOVQ R8, 0+z; \
|
||||
MOVQ R9, 8+z; \
|
||||
MOVQ R10, 16+z; \
|
||||
MOVQ R11, 24+z; \
|
||||
MOVQ R12, 32+z; \
|
||||
MOVQ R13, 40+z; \
|
||||
MOVQ R14, 48+z;
|
||||
|
||||
// multiplyA24Adx multiplies x times CTE_A24 and stores in z
|
||||
// Uses: AX, DX, R8-R14, FLAGS
|
||||
// Instr: x86_64, bmi2
|
||||
#define multiplyA24Adx(z,x) \
|
||||
MOVQ $CTE_A24, DX; \
|
||||
MULXQ 0+x, R8, R9; \
|
||||
MULXQ 8+x, AX, R10; ADDQ AX, R9; \
|
||||
MULXQ 16+x, AX, R11; ADCQ AX, R10; \
|
||||
MULXQ 24+x, AX, R12; ADCQ AX, R11; \
|
||||
MULXQ 32+x, AX, R13; ADCQ AX, R12; \
|
||||
MULXQ 40+x, AX, R14; ADCQ AX, R13; \
|
||||
MULXQ 48+x, AX, DX; ADCQ AX, R14; \
|
||||
;;;;;;;;;;;;;;;;;;;; ADCQ $0, DX; \
|
||||
MOVQ DX, AX; \
|
||||
SHLQ $32, AX; \
|
||||
ADDQ DX, R8; MOVQ $0, DX; \
|
||||
ADCQ $0, R9; \
|
||||
ADCQ $0, R10; \
|
||||
ADCQ AX, R11; \
|
||||
ADCQ $0, R12; \
|
||||
ADCQ $0, R13; \
|
||||
ADCQ $0, R14; \
|
||||
ADCQ $0, DX; \
|
||||
MOVQ DX, AX; \
|
||||
SHLQ $32, AX; \
|
||||
ADDQ DX, R8; \
|
||||
ADCQ $0, R9; \
|
||||
ADCQ $0, R10; \
|
||||
ADCQ AX, R11; \
|
||||
ADCQ $0, R12; \
|
||||
ADCQ $0, R13; \
|
||||
ADCQ $0, R14; \
|
||||
MOVQ R8, 0+z; \
|
||||
MOVQ R9, 8+z; \
|
||||
MOVQ R10, 16+z; \
|
||||
MOVQ R11, 24+z; \
|
||||
MOVQ R12, 32+z; \
|
||||
MOVQ R13, 40+z; \
|
||||
MOVQ R14, 48+z;
|
||||
|
||||
#define mulA24Legacy \
|
||||
multiplyA24Leg(0(DI),0(SI))
|
||||
#define mulA24Bmi2Adx \
|
||||
multiplyA24Adx(0(DI),0(SI))
|
||||
|
||||
// func mulA24Amd64(z, x *fp448.Elt)
|
||||
TEXT ·mulA24Amd64(SB),NOSPLIT,$0-16
|
||||
MOVQ z+0(FP), DI
|
||||
MOVQ x+8(FP), SI
|
||||
CHECK_BMI2ADX(LMA24, mulA24Legacy, mulA24Bmi2Adx)
|
||||
|
||||
// func ladderStepAmd64(w *[5]fp448.Elt, b uint)
|
||||
// ladderStepAmd64 calculates a point addition and doubling as follows:
|
||||
// (x2,z2) = 2*(x2,z2) and (x3,z3) = (x2,z2)+(x3,z3) using as a difference (x1,-).
|
||||
// w = {x1,x2,z2,x3,z4} are five fp255.Elt of 56 bytes.
|
||||
// stack = (t0,t1) are two fp.Elt of fp.Size bytes, and
|
||||
// (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes.
|
||||
TEXT ·ladderStepAmd64(SB),NOSPLIT,$336-16
|
||||
// Parameters
|
||||
#define regWork DI
|
||||
#define regMove SI
|
||||
#define x1 0*Size(regWork)
|
||||
#define x2 1*Size(regWork)
|
||||
#define z2 2*Size(regWork)
|
||||
#define x3 3*Size(regWork)
|
||||
#define z3 4*Size(regWork)
|
||||
// Local variables
|
||||
#define t0 0*Size(SP)
|
||||
#define t1 1*Size(SP)
|
||||
#define b0 2*Size(SP)
|
||||
#define b1 4*Size(SP)
|
||||
MOVQ w+0(FP), regWork
|
||||
MOVQ b+8(FP), regMove
|
||||
CHECK_BMI2ADX(LLADSTEP, ladderStepLeg, ladderStepBmi2Adx)
|
||||
#undef regWork
|
||||
#undef regMove
|
||||
#undef x1
|
||||
#undef x2
|
||||
#undef z2
|
||||
#undef x3
|
||||
#undef z3
|
||||
#undef t0
|
||||
#undef t1
|
||||
#undef b0
|
||||
#undef b1
|
||||
|
||||
// func diffAddAmd64(work *[5]fp.Elt, swap uint)
|
||||
// diffAddAmd64 calculates a differential point addition using a precomputed point.
|
||||
// (x1,z1) = (x1,z1)+(mu) using a difference point (x2,z2)
|
||||
// work = {mu,x1,z1,x2,z2} are five fp448.Elt of 56 bytes, and
|
||||
// stack = (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes.
|
||||
// This is Equation 7 at https://eprint.iacr.org/2017/264.
|
||||
TEXT ·diffAddAmd64(SB),NOSPLIT,$224-16
|
||||
// Parameters
|
||||
#define regWork DI
|
||||
#define regSwap SI
|
||||
#define ui 0*Size(regWork)
|
||||
#define x1 1*Size(regWork)
|
||||
#define z1 2*Size(regWork)
|
||||
#define x2 3*Size(regWork)
|
||||
#define z2 4*Size(regWork)
|
||||
// Local variables
|
||||
#define b0 0*Size(SP)
|
||||
#define b1 2*Size(SP)
|
||||
MOVQ w+0(FP), regWork
|
||||
MOVQ b+8(FP), regSwap
|
||||
cswap(x1,x2,regSwap)
|
||||
cswap(z1,z2,regSwap)
|
||||
CHECK_BMI2ADX(LDIFADD, difAddLeg, difAddBmi2Adx)
|
||||
#undef regWork
|
||||
#undef regSwap
|
||||
#undef ui
|
||||
#undef x1
|
||||
#undef z1
|
||||
#undef x2
|
||||
#undef z2
|
||||
#undef b0
|
||||
#undef b1
|
||||
|
||||
// func doubleAmd64(x, z *fp448.Elt)
|
||||
// doubleAmd64 calculates a point doubling (x1,z1) = 2*(x1,z1).
|
||||
// stack = (t0,t1) are two fp.Elt of fp.Size bytes, and
|
||||
// (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes.
|
||||
TEXT ·doubleAmd64(SB),NOSPLIT,$336-16
|
||||
// Parameters
|
||||
#define x1 0(DI)
|
||||
#define z1 0(SI)
|
||||
// Local variables
|
||||
#define t0 0*Size(SP)
|
||||
#define t1 1*Size(SP)
|
||||
#define b0 2*Size(SP)
|
||||
#define b1 4*Size(SP)
|
||||
MOVQ x+0(FP), DI
|
||||
MOVQ z+8(FP), SI
|
||||
CHECK_BMI2ADX(LDOUB,doubleLeg,doubleBmi2Adx)
|
||||
#undef x1
|
||||
#undef z1
|
||||
#undef t0
|
||||
#undef t1
|
||||
#undef b0
|
||||
#undef b1
|
||||
100
vendor/github.com/cloudflare/circl/dh/x448/curve_generic.go
generated
vendored
100
vendor/github.com/cloudflare/circl/dh/x448/curve_generic.go
generated
vendored
@ -1,100 +0,0 @@
|
||||
package x448
|
||||
|
||||
import (
|
||||
"encoding/binary"
|
||||
"math/bits"
|
||||
|
||||
"github.com/cloudflare/circl/math/fp448"
|
||||
)
|
||||
|
||||
func doubleGeneric(x, z *fp448.Elt) {
|
||||
t0, t1 := &fp448.Elt{}, &fp448.Elt{}
|
||||
fp448.AddSub(x, z)
|
||||
fp448.Sqr(x, x)
|
||||
fp448.Sqr(z, z)
|
||||
fp448.Sub(t0, x, z)
|
||||
mulA24Generic(t1, t0)
|
||||
fp448.Add(t1, t1, z)
|
||||
fp448.Mul(x, x, z)
|
||||
fp448.Mul(z, t0, t1)
|
||||
}
|
||||
|
||||
func diffAddGeneric(w *[5]fp448.Elt, b uint) {
|
||||
mu, x1, z1, x2, z2 := &w[0], &w[1], &w[2], &w[3], &w[4]
|
||||
fp448.Cswap(x1, x2, b)
|
||||
fp448.Cswap(z1, z2, b)
|
||||
fp448.AddSub(x1, z1)
|
||||
fp448.Mul(z1, z1, mu)
|
||||
fp448.AddSub(x1, z1)
|
||||
fp448.Sqr(x1, x1)
|
||||
fp448.Sqr(z1, z1)
|
||||
fp448.Mul(x1, x1, z2)
|
||||
fp448.Mul(z1, z1, x2)
|
||||
}
|
||||
|
||||
func ladderStepGeneric(w *[5]fp448.Elt, b uint) {
|
||||
x1, x2, z2, x3, z3 := &w[0], &w[1], &w[2], &w[3], &w[4]
|
||||
t0 := &fp448.Elt{}
|
||||
t1 := &fp448.Elt{}
|
||||
fp448.AddSub(x2, z2)
|
||||
fp448.AddSub(x3, z3)
|
||||
fp448.Mul(t0, x2, z3)
|
||||
fp448.Mul(t1, x3, z2)
|
||||
fp448.AddSub(t0, t1)
|
||||
fp448.Cmov(x2, x3, b)
|
||||
fp448.Cmov(z2, z3, b)
|
||||
fp448.Sqr(x3, t0)
|
||||
fp448.Sqr(z3, t1)
|
||||
fp448.Mul(z3, x1, z3)
|
||||
fp448.Sqr(x2, x2)
|
||||
fp448.Sqr(z2, z2)
|
||||
fp448.Sub(t0, x2, z2)
|
||||
mulA24Generic(t1, t0)
|
||||
fp448.Add(t1, t1, z2)
|
||||
fp448.Mul(x2, x2, z2)
|
||||
fp448.Mul(z2, t0, t1)
|
||||
}
|
||||
|
||||
func mulA24Generic(z, x *fp448.Elt) {
|
||||
const A24 = 39082
|
||||
const n = 8
|
||||
var xx [7]uint64
|
||||
for i := range xx {
|
||||
xx[i] = binary.LittleEndian.Uint64(x[i*n : (i+1)*n])
|
||||
}
|
||||
h0, l0 := bits.Mul64(xx[0], A24)
|
||||
h1, l1 := bits.Mul64(xx[1], A24)
|
||||
h2, l2 := bits.Mul64(xx[2], A24)
|
||||
h3, l3 := bits.Mul64(xx[3], A24)
|
||||
h4, l4 := bits.Mul64(xx[4], A24)
|
||||
h5, l5 := bits.Mul64(xx[5], A24)
|
||||
h6, l6 := bits.Mul64(xx[6], A24)
|
||||
|
||||
l1, c0 := bits.Add64(h0, l1, 0)
|
||||
l2, c1 := bits.Add64(h1, l2, c0)
|
||||
l3, c2 := bits.Add64(h2, l3, c1)
|
||||
l4, c3 := bits.Add64(h3, l4, c2)
|
||||
l5, c4 := bits.Add64(h4, l5, c3)
|
||||
l6, c5 := bits.Add64(h5, l6, c4)
|
||||
l7, _ := bits.Add64(h6, 0, c5)
|
||||
|
||||
l0, c0 = bits.Add64(l0, l7, 0)
|
||||
l1, c1 = bits.Add64(l1, 0, c0)
|
||||
l2, c2 = bits.Add64(l2, 0, c1)
|
||||
l3, c3 = bits.Add64(l3, l7<<32, c2)
|
||||
l4, c4 = bits.Add64(l4, 0, c3)
|
||||
l5, c5 = bits.Add64(l5, 0, c4)
|
||||
l6, l7 = bits.Add64(l6, 0, c5)
|
||||
|
||||
xx[0], c0 = bits.Add64(l0, l7, 0)
|
||||
xx[1], c1 = bits.Add64(l1, 0, c0)
|
||||
xx[2], c2 = bits.Add64(l2, 0, c1)
|
||||
xx[3], c3 = bits.Add64(l3, l7<<32, c2)
|
||||
xx[4], c4 = bits.Add64(l4, 0, c3)
|
||||
xx[5], c5 = bits.Add64(l5, 0, c4)
|
||||
xx[6], _ = bits.Add64(l6, 0, c5)
|
||||
|
||||
for i := range xx {
|
||||
binary.LittleEndian.PutUint64(z[i*n:(i+1)*n], xx[i])
|
||||
}
|
||||
}
|
||||
11
vendor/github.com/cloudflare/circl/dh/x448/curve_noasm.go
generated
vendored
11
vendor/github.com/cloudflare/circl/dh/x448/curve_noasm.go
generated
vendored
@ -1,11 +0,0 @@
|
||||
//go:build !amd64 || purego
|
||||
// +build !amd64 purego
|
||||
|
||||
package x448
|
||||
|
||||
import fp "github.com/cloudflare/circl/math/fp448"
|
||||
|
||||
func double(x, z *fp.Elt) { doubleGeneric(x, z) }
|
||||
func diffAdd(w *[5]fp.Elt, b uint) { diffAddGeneric(w, b) }
|
||||
func ladderStep(w *[5]fp.Elt, b uint) { ladderStepGeneric(w, b) }
|
||||
func mulA24(z, x *fp.Elt) { mulA24Generic(z, x) }
|
||||
19
vendor/github.com/cloudflare/circl/dh/x448/doc.go
generated
vendored
19
vendor/github.com/cloudflare/circl/dh/x448/doc.go
generated
vendored
@ -1,19 +0,0 @@
|
||||
/*
|
||||
Package x448 provides Diffie-Hellman functions as specified in RFC-7748.
|
||||
|
||||
Validation of public keys.
|
||||
|
||||
The Diffie-Hellman function, as described in RFC-7748 [1], works for any
|
||||
public key. However, if a different protocol requires contributory
|
||||
behaviour [2,3], then the public keys must be validated against low-order
|
||||
points [3,4]. To do that, the Shared function performs this validation
|
||||
internally and returns false when the public key is invalid (i.e., it
|
||||
is a low-order point).
|
||||
|
||||
References:
|
||||
- [1] RFC7748 by Langley, Hamburg, Turner (https://rfc-editor.org/rfc/rfc7748.txt)
|
||||
- [2] Curve25519 by Bernstein (https://cr.yp.to/ecdh.html)
|
||||
- [3] Bernstein (https://cr.yp.to/ecdh.html#validate)
|
||||
- [4] Cremers&Jackson (https://eprint.iacr.org/2019/526)
|
||||
*/
|
||||
package x448
|
||||
46
vendor/github.com/cloudflare/circl/dh/x448/key.go
generated
vendored
46
vendor/github.com/cloudflare/circl/dh/x448/key.go
generated
vendored
@ -1,46 +0,0 @@
|
||||
package x448
|
||||
|
||||
import (
|
||||
"crypto/subtle"
|
||||
|
||||
fp "github.com/cloudflare/circl/math/fp448"
|
||||
)
|
||||
|
||||
// Size is the length in bytes of a X448 key.
|
||||
const Size = 56
|
||||
|
||||
// Key represents a X448 key.
|
||||
type Key [Size]byte
|
||||
|
||||
func (k *Key) clamp(in *Key) *Key {
|
||||
*k = *in
|
||||
k[0] &= 252
|
||||
k[55] |= 128
|
||||
return k
|
||||
}
|
||||
|
||||
// isValidPubKey verifies if the public key is not a low-order point.
|
||||
func (k *Key) isValidPubKey() bool {
|
||||
fp.Modp((*fp.Elt)(k))
|
||||
var isLowOrder int
|
||||
for _, P := range lowOrderPoints {
|
||||
isLowOrder |= subtle.ConstantTimeCompare(P[:], k[:])
|
||||
}
|
||||
return isLowOrder == 0
|
||||
}
|
||||
|
||||
// KeyGen obtains a public key given a secret key.
|
||||
func KeyGen(public, secret *Key) {
|
||||
ladderJoye(public.clamp(secret))
|
||||
}
|
||||
|
||||
// Shared calculates Alice's shared key from Alice's secret key and Bob's
|
||||
// public key returning true on success. A failure case happens when the public
|
||||
// key is a low-order point, thus the shared key is all-zeros and the function
|
||||
// returns false.
|
||||
func Shared(shared, secret, public *Key) bool {
|
||||
validPk := *public
|
||||
ok := validPk.isValidPubKey()
|
||||
ladderMontgomery(shared.clamp(secret), &validPk)
|
||||
return ok
|
||||
}
|
||||
460
vendor/github.com/cloudflare/circl/dh/x448/table.go
generated
vendored
460
vendor/github.com/cloudflare/circl/dh/x448/table.go
generated
vendored
@ -1,460 +0,0 @@
|
||||
package x448
|
||||
|
||||
import fp "github.com/cloudflare/circl/math/fp448"
|
||||
|
||||
// tableGenerator contains the set of points:
|
||||
//
|
||||
// t[i] = (xi+1)/(xi-1),
|
||||
//
|
||||
// where (xi,yi) = 2^iG and G is the generator point
|
||||
// Size = (448)*(448/8) = 25088 bytes.
|
||||
var tableGenerator = [448 * fp.Size]byte{
|
||||
/* (2^ 0)P */ 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f,
|
||||
/* (2^ 1)P */ 0x37, 0xfa, 0xaa, 0x0d, 0x86, 0xa6, 0x24, 0xe9, 0x6c, 0x95, 0x08, 0x34, 0xba, 0x1a, 0x81, 0x3a, 0xae, 0x01, 0xa5, 0xa7, 0x05, 0x85, 0x96, 0x00, 0x06, 0x5a, 0xd7, 0xff, 0xee, 0x8e, 0x8f, 0x94, 0xd2, 0xdc, 0xd7, 0xfc, 0xe7, 0xe5, 0x99, 0x1d, 0x05, 0x46, 0x43, 0xe8, 0xbc, 0x12, 0xb7, 0xeb, 0x30, 0x5e, 0x7a, 0x85, 0x68, 0xed, 0x9d, 0x28,
|
||||
/* (2^ 2)P */ 0xf1, 0x7d, 0x08, 0x2b, 0x32, 0x4a, 0x62, 0x80, 0x36, 0xe7, 0xa4, 0x76, 0x5a, 0x2a, 0x1e, 0xf7, 0x9e, 0x3c, 0x40, 0x46, 0x9a, 0x1b, 0x61, 0xc1, 0xbf, 0x1a, 0x1b, 0xae, 0x91, 0x80, 0xa3, 0x76, 0x6c, 0xd4, 0x8f, 0xa4, 0xee, 0x26, 0x39, 0x23, 0xa4, 0x80, 0xf4, 0x66, 0x92, 0xe4, 0xe1, 0x18, 0x76, 0xc5, 0xe2, 0x19, 0x87, 0xd5, 0xc3, 0xe8,
|
||||
/* (2^ 3)P */ 0xfb, 0xc9, 0xf0, 0x07, 0xf2, 0x93, 0xd8, 0x50, 0x36, 0xed, 0xfb, 0xbd, 0xb2, 0xd3, 0xfc, 0xdf, 0xd5, 0x2a, 0x6e, 0x26, 0x09, 0xce, 0xd4, 0x07, 0x64, 0x9f, 0x40, 0x74, 0xad, 0x98, 0x2f, 0x1c, 0xb6, 0xdc, 0x2d, 0x42, 0xff, 0xbf, 0x97, 0xd8, 0xdb, 0xef, 0x99, 0xca, 0x73, 0x99, 0x1a, 0x04, 0x3b, 0x56, 0x2c, 0x1f, 0x87, 0x9d, 0x9f, 0x03,
|
||||
/* (2^ 4)P */ 0x4c, 0x35, 0x97, 0xf7, 0x81, 0x2c, 0x84, 0xa6, 0xe0, 0xcb, 0xce, 0x37, 0x4c, 0x21, 0x1c, 0x67, 0xfa, 0xab, 0x18, 0x4d, 0xef, 0xd0, 0xf0, 0x44, 0xa9, 0xfb, 0xc0, 0x8e, 0xda, 0x57, 0xa1, 0xd8, 0xeb, 0x87, 0xf4, 0x17, 0xea, 0x66, 0x0f, 0x16, 0xea, 0xcd, 0x5f, 0x3e, 0x88, 0xea, 0x09, 0x68, 0x40, 0xdf, 0x43, 0xcc, 0x54, 0x61, 0x58, 0xaa,
|
||||
/* (2^ 5)P */ 0x8d, 0xe7, 0x59, 0xd7, 0x5e, 0x63, 0x37, 0xa7, 0x3f, 0xd1, 0x49, 0x85, 0x01, 0xdd, 0x5e, 0xb3, 0xe6, 0x29, 0xcb, 0x25, 0x93, 0xdd, 0x08, 0x96, 0x83, 0x52, 0x76, 0x85, 0xf5, 0x5d, 0x02, 0xbf, 0xe9, 0x6d, 0x15, 0x27, 0xc1, 0x09, 0xd1, 0x14, 0x4d, 0x6e, 0xe8, 0xaf, 0x59, 0x58, 0x34, 0x9d, 0x2a, 0x99, 0x85, 0x26, 0xbe, 0x4b, 0x1e, 0xb9,
|
||||
/* (2^ 6)P */ 0x8d, 0xce, 0x94, 0xe2, 0x18, 0x56, 0x0d, 0x82, 0x8e, 0xdf, 0x85, 0x01, 0x8f, 0x93, 0x3c, 0xc6, 0xbd, 0x61, 0xfb, 0xf4, 0x22, 0xc5, 0x16, 0x87, 0xd1, 0xb1, 0x9e, 0x09, 0xc5, 0x83, 0x2e, 0x4a, 0x07, 0x88, 0xee, 0xe0, 0x29, 0x8d, 0x2e, 0x1f, 0x88, 0xad, 0xfd, 0x18, 0x93, 0xb7, 0xed, 0x42, 0x86, 0x78, 0xf0, 0xb8, 0x70, 0xbe, 0x01, 0x67,
|
||||
/* (2^ 7)P */ 0xdf, 0x62, 0x2d, 0x94, 0xc7, 0x35, 0x23, 0xda, 0x27, 0xbb, 0x2b, 0xdb, 0x30, 0x80, 0x68, 0x16, 0xa3, 0xae, 0xd7, 0xd2, 0xa7, 0x7c, 0xbf, 0x6a, 0x1d, 0x83, 0xde, 0x96, 0x0a, 0x43, 0xb6, 0x30, 0x37, 0xd6, 0xee, 0x63, 0x59, 0x9a, 0xbf, 0xa3, 0x30, 0x6c, 0xaf, 0x0c, 0xee, 0x3d, 0xcb, 0x35, 0x4b, 0x55, 0x5f, 0x84, 0x85, 0xcb, 0x4f, 0x1e,
|
||||
/* (2^ 8)P */ 0x9d, 0x04, 0x68, 0x89, 0xa4, 0xa9, 0x0d, 0x87, 0xc1, 0x70, 0xf1, 0xeb, 0xfb, 0x47, 0x0a, 0xf0, 0xde, 0x67, 0xb7, 0x94, 0xcd, 0x36, 0x43, 0xa5, 0x49, 0x43, 0x67, 0xc3, 0xee, 0x3c, 0x6b, 0xec, 0xd0, 0x1a, 0xf4, 0xad, 0xef, 0x06, 0x4a, 0xe8, 0x46, 0x24, 0xd7, 0x93, 0xbf, 0xf0, 0xe3, 0x81, 0x61, 0xec, 0xea, 0x64, 0xfe, 0x67, 0xeb, 0xc7,
|
||||
/* (2^ 9)P */ 0x95, 0x45, 0x79, 0xcf, 0x2c, 0xfd, 0x9b, 0xfe, 0x84, 0x46, 0x4b, 0x8f, 0xa1, 0xcf, 0xc3, 0x04, 0x94, 0x78, 0xdb, 0xc9, 0xa6, 0x01, 0x75, 0xa4, 0xb4, 0x93, 0x72, 0x43, 0xa7, 0x7d, 0xda, 0x31, 0x38, 0x54, 0xab, 0x4e, 0x3f, 0x89, 0xa6, 0xab, 0x57, 0xc0, 0x16, 0x65, 0xdb, 0x92, 0x96, 0xe4, 0xc8, 0xae, 0xe7, 0x4c, 0x7a, 0xeb, 0xbb, 0x5a,
|
||||
/* (2^ 10)P */ 0xbe, 0xfe, 0x86, 0xc3, 0x97, 0xe0, 0x6a, 0x18, 0x20, 0x21, 0xca, 0x22, 0x55, 0xa1, 0xeb, 0xf5, 0x74, 0xe5, 0xc9, 0x59, 0xa7, 0x92, 0x65, 0x15, 0x08, 0x71, 0xd1, 0x09, 0x7e, 0x83, 0xfc, 0xbc, 0x5a, 0x93, 0x38, 0x0d, 0x43, 0x42, 0xfd, 0x76, 0x30, 0xe8, 0x63, 0x60, 0x09, 0x8d, 0x6c, 0xd3, 0xf8, 0x56, 0x3d, 0x68, 0x47, 0xab, 0xa0, 0x1d,
|
||||
/* (2^ 11)P */ 0x38, 0x50, 0x1c, 0xb1, 0xac, 0x88, 0x8f, 0x38, 0xe3, 0x69, 0xe6, 0xfc, 0x4f, 0x8f, 0xe1, 0x9b, 0xb1, 0x1a, 0x09, 0x39, 0x19, 0xdf, 0xcd, 0x98, 0x7b, 0x64, 0x42, 0xf6, 0x11, 0xea, 0xc7, 0xe8, 0x92, 0x65, 0x00, 0x2c, 0x75, 0xb5, 0x94, 0x1e, 0x5b, 0xa6, 0x66, 0x81, 0x77, 0xf3, 0x39, 0x94, 0xac, 0xbd, 0xe4, 0x2a, 0x66, 0x84, 0x9c, 0x60,
|
||||
/* (2^ 12)P */ 0xb5, 0xb6, 0xd9, 0x03, 0x67, 0xa4, 0xa8, 0x0a, 0x4a, 0x2b, 0x9d, 0xfa, 0x13, 0xe1, 0x99, 0x25, 0x4a, 0x5c, 0x67, 0xb9, 0xb2, 0xb7, 0xdd, 0x1e, 0xaf, 0xeb, 0x63, 0x41, 0xb6, 0xb9, 0xa0, 0x87, 0x0a, 0xe0, 0x06, 0x07, 0xaa, 0x97, 0xf8, 0xf9, 0x38, 0x4f, 0xdf, 0x0c, 0x40, 0x7c, 0xc3, 0x98, 0xa9, 0x74, 0xf1, 0x5d, 0xda, 0xd1, 0xc0, 0x0a,
|
||||
/* (2^ 13)P */ 0xf2, 0x0a, 0xab, 0xab, 0x94, 0x50, 0xf0, 0xa3, 0x6f, 0xc6, 0x66, 0xba, 0xa6, 0xdc, 0x44, 0xdd, 0xd6, 0x08, 0xf4, 0xd3, 0xed, 0xb1, 0x40, 0x93, 0xee, 0xf6, 0xb8, 0x8e, 0xb4, 0x7c, 0xb9, 0x82, 0xc9, 0x9d, 0x45, 0x3b, 0x8e, 0x10, 0xcb, 0x70, 0x1e, 0xba, 0x3c, 0x62, 0x50, 0xda, 0xa9, 0x93, 0xb5, 0xd7, 0xd0, 0x6f, 0x29, 0x52, 0x95, 0xae,
|
||||
/* (2^ 14)P */ 0x14, 0x68, 0x69, 0x23, 0xa8, 0x44, 0x87, 0x9e, 0x22, 0x91, 0xe8, 0x92, 0xdf, 0xf7, 0xae, 0xba, 0x1c, 0x96, 0xe1, 0xc3, 0x94, 0xed, 0x6c, 0x95, 0xae, 0x96, 0xa7, 0x15, 0x9f, 0xf1, 0x17, 0x11, 0x92, 0x42, 0xd5, 0xcd, 0x18, 0xe7, 0xa9, 0xb5, 0x2f, 0xcd, 0xde, 0x6c, 0xc9, 0x7d, 0xfc, 0x7e, 0xbd, 0x7f, 0x10, 0x3d, 0x01, 0x00, 0x8d, 0x95,
|
||||
/* (2^ 15)P */ 0x3b, 0x76, 0x72, 0xae, 0xaf, 0x84, 0xf2, 0xf7, 0xd1, 0x6d, 0x13, 0x9c, 0x47, 0xe1, 0xb7, 0xa3, 0x19, 0x16, 0xee, 0x75, 0x45, 0xf6, 0x1a, 0x7b, 0x78, 0x49, 0x79, 0x05, 0x86, 0xf0, 0x7f, 0x9f, 0xfc, 0xc4, 0xbd, 0x86, 0xf3, 0x41, 0xa7, 0xfe, 0x01, 0xd5, 0x67, 0x16, 0x10, 0x5b, 0xa5, 0x16, 0xf3, 0x7f, 0x60, 0xce, 0xd2, 0x0c, 0x8e, 0x4b,
|
||||
/* (2^ 16)P */ 0x4a, 0x07, 0x99, 0x4a, 0x0f, 0x74, 0x91, 0x14, 0x68, 0xb9, 0x48, 0xb7, 0x44, 0x77, 0x9b, 0x4a, 0xe0, 0x68, 0x0e, 0x43, 0x4d, 0x98, 0x98, 0xbf, 0xa8, 0x3a, 0xb7, 0x6d, 0x2a, 0x9a, 0x77, 0x5f, 0x62, 0xf5, 0x6b, 0x4a, 0xb7, 0x7d, 0xe5, 0x09, 0x6b, 0xc0, 0x8b, 0x9c, 0x88, 0x37, 0x33, 0xf2, 0x41, 0xac, 0x22, 0x1f, 0xcf, 0x3b, 0x82, 0x34,
|
||||
/* (2^ 17)P */ 0x00, 0xc3, 0x78, 0x42, 0x32, 0x2e, 0xdc, 0xda, 0xb1, 0x96, 0x21, 0xa4, 0xe4, 0xbb, 0xe9, 0x9d, 0xbb, 0x0f, 0x93, 0xed, 0x26, 0x3d, 0xb5, 0xdb, 0x94, 0x31, 0x37, 0x07, 0xa2, 0xb2, 0xd5, 0x99, 0x0d, 0x93, 0xe1, 0xce, 0x3f, 0x0b, 0x96, 0x82, 0x47, 0xfe, 0x60, 0x6f, 0x8f, 0x61, 0x88, 0xd7, 0x05, 0x95, 0x0b, 0x46, 0x06, 0xb7, 0x32, 0x06,
|
||||
/* (2^ 18)P */ 0x44, 0xf5, 0x34, 0xdf, 0x2f, 0x9c, 0x5d, 0x9f, 0x53, 0x5c, 0x42, 0x8f, 0xc9, 0xdc, 0xd8, 0x40, 0xa2, 0xe7, 0x6a, 0x4a, 0x05, 0xf7, 0x86, 0x77, 0x2b, 0xae, 0x37, 0xed, 0x48, 0xfb, 0xf7, 0x62, 0x7c, 0x17, 0x59, 0x92, 0x41, 0x61, 0x93, 0x38, 0x30, 0xd1, 0xef, 0x54, 0x54, 0x03, 0x17, 0x57, 0x91, 0x15, 0x11, 0x33, 0xb5, 0xfa, 0xfb, 0x17,
|
||||
/* (2^ 19)P */ 0x29, 0xbb, 0xd4, 0xb4, 0x9c, 0xf1, 0x72, 0x94, 0xce, 0x6a, 0x29, 0xa8, 0x89, 0x18, 0x19, 0xf7, 0xb7, 0xcc, 0xee, 0x9a, 0x02, 0xe3, 0xc0, 0xb1, 0xe0, 0xee, 0x83, 0x78, 0xb4, 0x9e, 0x07, 0x87, 0xdf, 0xb0, 0x82, 0x26, 0x4e, 0xa4, 0x0c, 0x33, 0xaf, 0x40, 0x59, 0xb6, 0xdd, 0x52, 0x45, 0xf0, 0xb4, 0xf6, 0xe8, 0x4e, 0x4e, 0x79, 0x1a, 0x5d,
|
||||
/* (2^ 20)P */ 0x27, 0x33, 0x4d, 0x4c, 0x6b, 0x4f, 0x75, 0xb1, 0xbc, 0x1f, 0xab, 0x5b, 0x2b, 0xf0, 0x1c, 0x57, 0x86, 0xdd, 0xfd, 0x60, 0xb0, 0x8c, 0xe7, 0x9a, 0xe5, 0x5c, 0xeb, 0x11, 0x3a, 0xda, 0x22, 0x25, 0x99, 0x06, 0x8d, 0xf4, 0xaf, 0x29, 0x7a, 0xc9, 0xe5, 0xd2, 0x16, 0x9e, 0xd4, 0x63, 0x1d, 0x64, 0xa6, 0x47, 0x96, 0x37, 0x6f, 0x93, 0x2c, 0xcc,
|
||||
/* (2^ 21)P */ 0xc1, 0x94, 0x74, 0x86, 0x75, 0xf2, 0x91, 0x58, 0x23, 0x85, 0x63, 0x76, 0x54, 0xc7, 0xb4, 0x8c, 0xbc, 0x4e, 0xc4, 0xa7, 0xba, 0xa0, 0x55, 0x26, 0x71, 0xd5, 0x33, 0x72, 0xc9, 0xad, 0x1e, 0xf9, 0x5d, 0x78, 0x70, 0x93, 0x4e, 0x85, 0xfc, 0x39, 0x06, 0x73, 0x76, 0xff, 0xe8, 0x64, 0x69, 0x42, 0x45, 0xb2, 0x69, 0xb5, 0x32, 0xe7, 0x2c, 0xde,
|
||||
/* (2^ 22)P */ 0xde, 0x16, 0xd8, 0x33, 0x49, 0x32, 0xe9, 0x0e, 0x3a, 0x60, 0xee, 0x2e, 0x24, 0x75, 0xe3, 0x9c, 0x92, 0x07, 0xdb, 0xad, 0x92, 0xf5, 0x11, 0xdf, 0xdb, 0xb0, 0x17, 0x5c, 0xd6, 0x1a, 0x70, 0x00, 0xb7, 0xe2, 0x18, 0xec, 0xdc, 0xc2, 0x02, 0x93, 0xb3, 0xc8, 0x3f, 0x4f, 0x1b, 0x96, 0xe6, 0x33, 0x8c, 0xfb, 0xcc, 0xa5, 0x4e, 0xe8, 0xe7, 0x11,
|
||||
/* (2^ 23)P */ 0x05, 0x7a, 0x74, 0x52, 0xf8, 0xdf, 0x0d, 0x7c, 0x6a, 0x1a, 0x4e, 0x9a, 0x02, 0x1d, 0xae, 0x77, 0xf8, 0x8e, 0xf9, 0xa2, 0x38, 0x54, 0x50, 0xb2, 0x2c, 0x08, 0x9d, 0x9b, 0x9f, 0xfb, 0x2b, 0x06, 0xde, 0x9d, 0xc2, 0x03, 0x0b, 0x22, 0x2b, 0x10, 0x5b, 0x3a, 0x73, 0x29, 0x8e, 0x3e, 0x37, 0x08, 0x2c, 0x3b, 0xf8, 0x80, 0xc1, 0x66, 0x1e, 0x98,
|
||||
/* (2^ 24)P */ 0xd8, 0xd6, 0x3e, 0xcd, 0x63, 0x8c, 0x2b, 0x41, 0x81, 0xc0, 0x0c, 0x06, 0x87, 0xd6, 0xe7, 0x92, 0xfe, 0xf1, 0x0c, 0x4a, 0x84, 0x5b, 0xaf, 0x40, 0x53, 0x6f, 0x60, 0xd6, 0x6b, 0x76, 0x4b, 0xc2, 0xad, 0xc9, 0xb6, 0xb6, 0x6a, 0xa2, 0xb3, 0xf5, 0xf5, 0xc2, 0x55, 0x83, 0xb2, 0xd3, 0xe9, 0x41, 0x6c, 0x63, 0x51, 0xb8, 0x81, 0x74, 0xc8, 0x2c,
|
||||
/* (2^ 25)P */ 0xb2, 0xaf, 0x1c, 0xee, 0x07, 0xb0, 0x58, 0xa8, 0x2c, 0x6a, 0xc9, 0x2d, 0x62, 0x28, 0x75, 0x0c, 0x40, 0xb6, 0x11, 0x33, 0x96, 0x80, 0x28, 0x6d, 0xd5, 0x9e, 0x87, 0x90, 0x01, 0x66, 0x1d, 0x1c, 0xf8, 0xb4, 0x92, 0xac, 0x38, 0x18, 0x05, 0xc2, 0x4c, 0x4b, 0x54, 0x7d, 0x80, 0x46, 0x87, 0x2d, 0x99, 0x8e, 0x70, 0x80, 0x69, 0x71, 0x8b, 0xed,
|
||||
/* (2^ 26)P */ 0x37, 0xa7, 0x6b, 0x71, 0x36, 0x75, 0x8e, 0xff, 0x0f, 0x42, 0xda, 0x5a, 0x46, 0xa6, 0x97, 0x79, 0x7e, 0x30, 0xb3, 0x8f, 0xc7, 0x3a, 0xa0, 0xcb, 0x1d, 0x9c, 0x78, 0x77, 0x36, 0xc2, 0xe7, 0xf4, 0x2f, 0x29, 0x07, 0xb1, 0x07, 0xfd, 0xed, 0x1b, 0x39, 0x77, 0x06, 0x38, 0x77, 0x0f, 0x50, 0x31, 0x12, 0xbf, 0x92, 0xbf, 0x72, 0x79, 0x54, 0xa9,
|
||||
/* (2^ 27)P */ 0xbd, 0x4d, 0x46, 0x6b, 0x1a, 0x80, 0x46, 0x2d, 0xed, 0xfd, 0x64, 0x6d, 0x94, 0xbc, 0x4a, 0x6e, 0x0c, 0x12, 0xf6, 0x12, 0xab, 0x54, 0x88, 0xd3, 0x85, 0xac, 0x51, 0xae, 0x6f, 0xca, 0xc4, 0xb7, 0xec, 0x22, 0x54, 0x6d, 0x80, 0xb2, 0x1c, 0x63, 0x33, 0x76, 0x6b, 0x8e, 0x6d, 0x59, 0xcd, 0x73, 0x92, 0x5f, 0xff, 0xad, 0x10, 0x35, 0x70, 0x5f,
|
||||
/* (2^ 28)P */ 0xb3, 0x84, 0xde, 0xc8, 0x04, 0x43, 0x63, 0xfa, 0x29, 0xd9, 0xf0, 0x69, 0x65, 0x5a, 0x0c, 0xe8, 0x2e, 0x0b, 0xfe, 0xb0, 0x7a, 0x42, 0xb3, 0xc3, 0xfc, 0xe6, 0xb8, 0x92, 0x29, 0xae, 0xed, 0xec, 0xd5, 0xe8, 0x4a, 0xa1, 0xbd, 0x3b, 0xd3, 0xc0, 0x07, 0xab, 0x65, 0x65, 0x35, 0x9a, 0xa6, 0x5e, 0x78, 0x18, 0x76, 0x1c, 0x15, 0x49, 0xe6, 0x75,
|
||||
/* (2^ 29)P */ 0x45, 0xb3, 0x92, 0xa9, 0xc3, 0xb8, 0x11, 0x68, 0x64, 0x3a, 0x83, 0x5d, 0xa8, 0x94, 0x6a, 0x9d, 0xaa, 0x27, 0x9f, 0x98, 0x5d, 0xc0, 0x29, 0xf0, 0xc0, 0x4b, 0x14, 0x3c, 0x05, 0xe7, 0xf8, 0xbd, 0x38, 0x22, 0x96, 0x75, 0x65, 0x5e, 0x0d, 0x3f, 0xbb, 0x6f, 0xe8, 0x3f, 0x96, 0x76, 0x9f, 0xba, 0xd9, 0x44, 0x92, 0x96, 0x22, 0xe7, 0x52, 0xe7,
|
||||
/* (2^ 30)P */ 0xf4, 0xa3, 0x95, 0x90, 0x47, 0xdf, 0x7d, 0xdc, 0xf4, 0x13, 0x87, 0x67, 0x7d, 0x4f, 0x9d, 0xa0, 0x00, 0x46, 0x72, 0x08, 0xc3, 0xa2, 0x7a, 0x3e, 0xe7, 0x6d, 0x52, 0x7c, 0x11, 0x36, 0x50, 0x83, 0x89, 0x64, 0xcb, 0x1f, 0x08, 0x83, 0x46, 0xcb, 0xac, 0xa6, 0xd8, 0x9c, 0x1b, 0xe8, 0x05, 0x47, 0xc7, 0x26, 0x06, 0x83, 0x39, 0xe9, 0xb1, 0x1c,
|
||||
/* (2^ 31)P */ 0x11, 0xe8, 0xc8, 0x42, 0xbf, 0x30, 0x9c, 0xa3, 0xf1, 0x85, 0x96, 0x95, 0x4f, 0x4f, 0x52, 0xa2, 0xf5, 0x8b, 0x68, 0x24, 0x16, 0xac, 0x9b, 0xa9, 0x27, 0x28, 0x0e, 0x84, 0x03, 0x46, 0x22, 0x5f, 0xf7, 0x0d, 0xa6, 0x85, 0x88, 0xc1, 0x45, 0x4b, 0x85, 0x1a, 0x10, 0x7f, 0xc9, 0x94, 0x20, 0xb0, 0x04, 0x28, 0x12, 0x30, 0xb9, 0xe6, 0x40, 0x6b,
|
||||
/* (2^ 32)P */ 0xac, 0x1b, 0x57, 0xb6, 0x42, 0xdb, 0x81, 0x8d, 0x76, 0xfd, 0x9b, 0x1c, 0x29, 0x30, 0xd5, 0x3a, 0xcc, 0x53, 0xd9, 0x26, 0x7a, 0x0f, 0x9c, 0x2e, 0x79, 0xf5, 0x62, 0xeb, 0x61, 0x9d, 0x9b, 0x80, 0x39, 0xcd, 0x60, 0x2e, 0x1f, 0x08, 0x22, 0xbc, 0x19, 0xb3, 0x2a, 0x43, 0x44, 0xf2, 0x4e, 0x66, 0xf4, 0x36, 0xa6, 0xa7, 0xbc, 0xa4, 0x15, 0x7e,
|
||||
/* (2^ 33)P */ 0xc1, 0x90, 0x8a, 0xde, 0xff, 0x78, 0xc3, 0x73, 0x16, 0xee, 0x76, 0xa0, 0x84, 0x60, 0x8d, 0xe6, 0x82, 0x0f, 0xde, 0x4e, 0xc5, 0x99, 0x34, 0x06, 0x90, 0x44, 0x55, 0xf8, 0x91, 0xd8, 0xe1, 0xe4, 0x2c, 0x8a, 0xde, 0x94, 0x1e, 0x78, 0x25, 0x3d, 0xfd, 0xd8, 0x59, 0x7d, 0xaf, 0x6e, 0xbe, 0x96, 0xbe, 0x3c, 0x16, 0x23, 0x0f, 0x4c, 0xa4, 0x28,
|
||||
/* (2^ 34)P */ 0xba, 0x11, 0x35, 0x57, 0x03, 0xb6, 0xf4, 0x24, 0x89, 0xb8, 0x5a, 0x0d, 0x50, 0x9c, 0xaa, 0x51, 0x7f, 0xa4, 0x0e, 0xfc, 0x71, 0xb3, 0x3b, 0xf1, 0x96, 0x50, 0x23, 0x15, 0xf5, 0xf5, 0xd4, 0x23, 0xdc, 0x8b, 0x26, 0x9e, 0xae, 0xb7, 0x50, 0xcd, 0xc4, 0x25, 0xf6, 0x75, 0x40, 0x9c, 0x37, 0x79, 0x33, 0x60, 0xd4, 0x4b, 0x13, 0x32, 0xee, 0xe2,
|
||||
/* (2^ 35)P */ 0x43, 0xb8, 0x56, 0x59, 0xf0, 0x68, 0x23, 0xb3, 0xea, 0x70, 0x58, 0x4c, 0x1e, 0x5a, 0x16, 0x54, 0x03, 0xb2, 0xf4, 0x73, 0xb6, 0xd9, 0x5c, 0x9c, 0x6f, 0xcf, 0x82, 0x2e, 0x54, 0x15, 0x46, 0x2c, 0xa3, 0xda, 0x4e, 0x87, 0xf5, 0x2b, 0xba, 0x91, 0xa3, 0xa0, 0x89, 0xba, 0x48, 0x2b, 0xfa, 0x64, 0x02, 0x7f, 0x78, 0x03, 0xd1, 0xe8, 0x3b, 0xe9,
|
||||
/* (2^ 36)P */ 0x15, 0xa4, 0x71, 0xd4, 0x0c, 0x24, 0xe9, 0x07, 0xa1, 0x43, 0xf4, 0x7f, 0xbb, 0xa2, 0xa6, 0x6b, 0xfa, 0xb7, 0xea, 0x58, 0xd1, 0x96, 0xb0, 0x24, 0x5c, 0xc7, 0x37, 0x4e, 0x60, 0x0f, 0x40, 0xf2, 0x2f, 0x44, 0x70, 0xea, 0x80, 0x63, 0xfe, 0xfc, 0x46, 0x59, 0x12, 0x27, 0xb5, 0x27, 0xfd, 0xb7, 0x73, 0x0b, 0xca, 0x8b, 0xc2, 0xd3, 0x71, 0x08,
|
||||
/* (2^ 37)P */ 0x26, 0x0e, 0xd7, 0x52, 0x6f, 0xf1, 0xf2, 0x9d, 0xb8, 0x3d, 0xbd, 0xd4, 0x75, 0x97, 0xd8, 0xbf, 0xa8, 0x86, 0x96, 0xa5, 0x80, 0xa0, 0x45, 0x75, 0xf6, 0x77, 0x71, 0xdb, 0x77, 0x96, 0x55, 0x99, 0x31, 0xd0, 0x4f, 0x34, 0xf4, 0x35, 0x39, 0x41, 0xd3, 0x7d, 0xf7, 0xe2, 0x74, 0xde, 0xbe, 0x5b, 0x1f, 0x39, 0x10, 0x21, 0xa3, 0x4d, 0x3b, 0xc8,
|
||||
/* (2^ 38)P */ 0x04, 0x00, 0x2a, 0x45, 0xb2, 0xaf, 0x9b, 0x18, 0x6a, 0xeb, 0x96, 0x28, 0xa4, 0x77, 0xd0, 0x13, 0xcf, 0x17, 0x65, 0xe8, 0xc5, 0x81, 0x28, 0xad, 0x39, 0x7a, 0x0b, 0xaa, 0x55, 0x2b, 0xf3, 0xfc, 0x86, 0x40, 0xad, 0x0d, 0x1e, 0x28, 0xa2, 0x2d, 0xc5, 0xd6, 0x04, 0x15, 0xa2, 0x30, 0x3d, 0x12, 0x8e, 0xd6, 0xb5, 0xf7, 0x69, 0xbb, 0x84, 0x20,
|
||||
/* (2^ 39)P */ 0xd7, 0x7a, 0x77, 0x2c, 0xfb, 0x81, 0x80, 0xe9, 0x1e, 0xc6, 0x36, 0x31, 0x79, 0xc3, 0x7c, 0xa9, 0x57, 0x6b, 0xb5, 0x70, 0xfb, 0xe4, 0xa1, 0xff, 0xfd, 0x21, 0xa5, 0x7c, 0xfa, 0x44, 0xba, 0x0d, 0x96, 0x3d, 0xc4, 0x5c, 0x39, 0x52, 0x87, 0xd7, 0x22, 0x0f, 0x52, 0x88, 0x91, 0x87, 0x96, 0xac, 0xfa, 0x3b, 0xdf, 0xdc, 0x83, 0x8c, 0x99, 0x29,
|
||||
/* (2^ 40)P */ 0x98, 0x6b, 0x3a, 0x8d, 0x83, 0x17, 0xe1, 0x62, 0xd8, 0x80, 0x4c, 0x97, 0xce, 0x6b, 0xaa, 0x10, 0xa7, 0xc4, 0xe9, 0xeb, 0xa5, 0xfb, 0xc9, 0xdd, 0x2d, 0xeb, 0xfc, 0x9a, 0x71, 0xcd, 0x68, 0x6e, 0xc0, 0x35, 0x64, 0x62, 0x1b, 0x95, 0x12, 0xe8, 0x53, 0xec, 0xf0, 0xf4, 0x86, 0x86, 0x78, 0x18, 0xc4, 0xc6, 0xbc, 0x5a, 0x59, 0x8f, 0x7c, 0x7e,
|
||||
/* (2^ 41)P */ 0x7f, 0xd7, 0x1e, 0xc5, 0x83, 0xdc, 0x1f, 0xbe, 0x0b, 0xcf, 0x2e, 0x01, 0x01, 0xed, 0xac, 0x17, 0x3b, 0xed, 0xa4, 0x30, 0x96, 0x0e, 0x14, 0x7e, 0x19, 0x2b, 0xa5, 0x67, 0x1e, 0xb3, 0x34, 0x03, 0xa8, 0xbb, 0x0a, 0x7d, 0x08, 0x2d, 0xd5, 0x53, 0x19, 0x6f, 0x13, 0xd5, 0xc0, 0x90, 0x8a, 0xcc, 0xc9, 0x5c, 0xab, 0x24, 0xd7, 0x03, 0xf6, 0x57,
|
||||
/* (2^ 42)P */ 0x49, 0xcb, 0xb4, 0x96, 0x5f, 0xa6, 0xf8, 0x71, 0x6f, 0x59, 0xad, 0x05, 0x24, 0x2d, 0xaf, 0x67, 0xa8, 0xbe, 0x95, 0xdf, 0x0d, 0x28, 0x5a, 0x7f, 0x6e, 0x87, 0x8c, 0x6e, 0x67, 0x0c, 0xf4, 0xe0, 0x1c, 0x30, 0xc2, 0x66, 0xae, 0x20, 0xa1, 0x34, 0xec, 0x9c, 0xbc, 0xae, 0x3d, 0xa1, 0x28, 0x28, 0x95, 0x1d, 0xc9, 0x3a, 0xa8, 0xfd, 0xfc, 0xa1,
|
||||
/* (2^ 43)P */ 0xe2, 0x2b, 0x9d, 0xed, 0x02, 0x99, 0x67, 0xbb, 0x2e, 0x16, 0x62, 0x05, 0x70, 0xc7, 0x27, 0xb9, 0x1c, 0x3f, 0xf2, 0x11, 0x01, 0xd8, 0x51, 0xa4, 0x18, 0x92, 0xa9, 0x5d, 0xfb, 0xa9, 0xe4, 0x42, 0xba, 0x38, 0x34, 0x1a, 0x4a, 0xc5, 0x6a, 0x37, 0xde, 0xa7, 0x0c, 0xb4, 0x7e, 0x7f, 0xde, 0xa6, 0xee, 0xcd, 0x55, 0x57, 0x05, 0x06, 0xfd, 0x5d,
|
||||
/* (2^ 44)P */ 0x2f, 0x32, 0xcf, 0x2e, 0x2c, 0x7b, 0xbe, 0x9a, 0x0c, 0x57, 0x35, 0xf8, 0x87, 0xda, 0x9c, 0xec, 0x48, 0xf2, 0xbb, 0xe2, 0xda, 0x10, 0x58, 0x20, 0xc6, 0xd3, 0x87, 0xe9, 0xc7, 0x26, 0xd1, 0x9a, 0x46, 0x87, 0x90, 0xda, 0xdc, 0xde, 0xc3, 0xb3, 0xf2, 0xe8, 0x6f, 0x4a, 0xe6, 0xe8, 0x9d, 0x98, 0x36, 0x20, 0x03, 0x47, 0x15, 0x3f, 0x64, 0x59,
|
||||
/* (2^ 45)P */ 0xd4, 0x71, 0x49, 0x0a, 0x67, 0x97, 0xaa, 0x3f, 0xf4, 0x1b, 0x3a, 0x6e, 0x5e, 0x17, 0xcc, 0x0a, 0x8f, 0x81, 0x6a, 0x41, 0x38, 0x77, 0x40, 0x8a, 0x11, 0x42, 0x62, 0xd2, 0x50, 0x32, 0x79, 0x78, 0x28, 0xc2, 0x2e, 0x10, 0x01, 0x94, 0x30, 0x4f, 0x7f, 0x18, 0x17, 0x56, 0x85, 0x4e, 0xad, 0xf7, 0xcb, 0x87, 0x3c, 0x3f, 0x50, 0x2c, 0xc0, 0xba,
|
||||
/* (2^ 46)P */ 0xbc, 0x30, 0x8e, 0x65, 0x8e, 0x57, 0x5b, 0x38, 0x7a, 0xd4, 0x95, 0x52, 0x7a, 0x32, 0x59, 0x69, 0xcd, 0x9d, 0x47, 0x34, 0x5b, 0x55, 0xa5, 0x24, 0x60, 0xdd, 0xc0, 0xc1, 0x62, 0x73, 0x44, 0xae, 0x4c, 0x9c, 0x65, 0x55, 0x1b, 0x9d, 0x8a, 0x29, 0xb0, 0x1a, 0x52, 0xa8, 0xf1, 0xe6, 0x9a, 0xb3, 0xf6, 0xa3, 0xc9, 0x0a, 0x70, 0x7d, 0x0f, 0xee,
|
||||
/* (2^ 47)P */ 0x77, 0xd3, 0xe5, 0x8e, 0xfa, 0x00, 0xeb, 0x1b, 0x7f, 0xdc, 0x68, 0x3f, 0x92, 0xbd, 0xb7, 0x0b, 0xb7, 0xb5, 0x24, 0xdf, 0xc5, 0x67, 0x53, 0xd4, 0x36, 0x79, 0xc4, 0x7b, 0x57, 0xbc, 0x99, 0x97, 0x60, 0xef, 0xe4, 0x01, 0xa1, 0xa7, 0xaa, 0x12, 0x36, 0x29, 0xb1, 0x03, 0xc2, 0x83, 0x1c, 0x2b, 0x83, 0xef, 0x2e, 0x2c, 0x23, 0x92, 0xfd, 0xd1,
|
||||
/* (2^ 48)P */ 0x94, 0xef, 0x03, 0x59, 0xfa, 0x8a, 0x18, 0x76, 0xee, 0x58, 0x08, 0x4d, 0x44, 0xce, 0xf1, 0x52, 0x33, 0x49, 0xf6, 0x69, 0x71, 0xe3, 0xa9, 0xbc, 0x86, 0xe3, 0x43, 0xde, 0x33, 0x7b, 0x90, 0x8b, 0x3e, 0x7d, 0xd5, 0x4a, 0xf0, 0x23, 0x99, 0xa6, 0xea, 0x5f, 0x08, 0xe5, 0xb9, 0x49, 0x8b, 0x0d, 0x6a, 0x21, 0xab, 0x07, 0x62, 0xcd, 0xc4, 0xbe,
|
||||
/* (2^ 49)P */ 0x61, 0xbf, 0x70, 0x14, 0xfa, 0x4e, 0x9e, 0x7c, 0x0c, 0xf8, 0xb2, 0x48, 0x71, 0x62, 0x83, 0xd6, 0xd1, 0xdc, 0x9c, 0x29, 0x66, 0xb1, 0x34, 0x9c, 0x8d, 0xe6, 0x88, 0xaf, 0xbe, 0xdc, 0x4d, 0xeb, 0xb0, 0xe7, 0x28, 0xae, 0xb2, 0x05, 0x56, 0xc6, 0x0e, 0x10, 0x26, 0xab, 0x2c, 0x59, 0x72, 0x03, 0x66, 0xfe, 0x8f, 0x2c, 0x51, 0x2d, 0xdc, 0xae,
|
||||
/* (2^ 50)P */ 0xdc, 0x63, 0xf1, 0x8b, 0x5c, 0x65, 0x0b, 0xf1, 0xa6, 0x22, 0xe2, 0xd9, 0xdb, 0x49, 0xb1, 0x3c, 0x47, 0xc2, 0xfe, 0xac, 0x86, 0x07, 0x52, 0xec, 0xb0, 0x08, 0x69, 0xfb, 0xd1, 0x06, 0xdc, 0x48, 0x5c, 0x3d, 0xb2, 0x4d, 0xb8, 0x1a, 0x4e, 0xda, 0xb9, 0xc1, 0x2b, 0xab, 0x4b, 0x62, 0x81, 0x21, 0x9a, 0xfc, 0x3d, 0x39, 0x83, 0x11, 0x36, 0xeb,
|
||||
/* (2^ 51)P */ 0x94, 0xf3, 0x17, 0xef, 0xf9, 0x60, 0x54, 0xc3, 0xd7, 0x27, 0x35, 0xc5, 0x98, 0x5e, 0xf6, 0x63, 0x6c, 0xa0, 0x4a, 0xd3, 0xa3, 0x98, 0xd9, 0x42, 0xe3, 0xf1, 0xf8, 0x81, 0x96, 0xa9, 0xea, 0x6d, 0x4b, 0x8e, 0x33, 0xca, 0x94, 0x0d, 0xa0, 0xf7, 0xbb, 0x64, 0xa3, 0x36, 0x6f, 0xdc, 0x5a, 0x94, 0x42, 0xca, 0x06, 0xb2, 0x2b, 0x9a, 0x9f, 0x71,
|
||||
/* (2^ 52)P */ 0xec, 0xdb, 0xa6, 0x1f, 0xdf, 0x15, 0x36, 0xa3, 0xda, 0x8a, 0x7a, 0xb6, 0xa7, 0xe3, 0xaf, 0x52, 0xe0, 0x8d, 0xe8, 0xf2, 0x44, 0x20, 0xeb, 0xa1, 0x20, 0xc4, 0x65, 0x3c, 0x7c, 0x6c, 0x49, 0xed, 0x2f, 0x66, 0x23, 0x68, 0x61, 0x91, 0x40, 0x9f, 0x50, 0x19, 0xd1, 0x84, 0xa7, 0xe2, 0xed, 0x34, 0x37, 0xe3, 0xe4, 0x11, 0x7f, 0x87, 0x55, 0x0f,
|
||||
/* (2^ 53)P */ 0xb3, 0xa1, 0x0f, 0xb0, 0x48, 0xc0, 0x4d, 0x96, 0xa7, 0xcf, 0x5a, 0x81, 0xb8, 0x4a, 0x46, 0xef, 0x0a, 0xd3, 0x40, 0x7e, 0x02, 0xe3, 0x63, 0xaa, 0x50, 0xd1, 0x2a, 0x37, 0x22, 0x4a, 0x7f, 0x4f, 0xb6, 0xf9, 0x01, 0x82, 0x78, 0x3d, 0x93, 0x14, 0x11, 0x8a, 0x90, 0x60, 0xcd, 0x45, 0x4e, 0x7b, 0x42, 0xb9, 0x3e, 0x6e, 0x68, 0x1f, 0x36, 0x41,
|
||||
/* (2^ 54)P */ 0x13, 0x73, 0x0e, 0x4f, 0x79, 0x93, 0x9e, 0x29, 0x70, 0x7b, 0x4a, 0x59, 0x1a, 0x9a, 0xf4, 0x55, 0x08, 0xf0, 0xdb, 0x17, 0x58, 0xec, 0x64, 0xad, 0x7f, 0x29, 0xeb, 0x3f, 0x85, 0x4e, 0x60, 0x28, 0x98, 0x1f, 0x73, 0x4e, 0xe6, 0xa8, 0xab, 0xd5, 0xd6, 0xfc, 0xa1, 0x36, 0x6d, 0x15, 0xc6, 0x13, 0x83, 0xa0, 0xc2, 0x6e, 0xd9, 0xdb, 0xc9, 0xcc,
|
||||
/* (2^ 55)P */ 0xff, 0xd8, 0x52, 0xa3, 0xdc, 0x99, 0xcf, 0x3e, 0x19, 0xb3, 0x68, 0xd0, 0xb5, 0x0d, 0xb8, 0xee, 0x3f, 0xef, 0x6e, 0xc0, 0x38, 0x28, 0x44, 0x92, 0x78, 0x91, 0x1a, 0x08, 0x78, 0x6c, 0x65, 0x24, 0xf3, 0xa2, 0x3d, 0xf2, 0xe5, 0x79, 0x62, 0x69, 0x29, 0xf4, 0x22, 0xc5, 0xdb, 0x6a, 0xae, 0xf4, 0x44, 0xa3, 0x6f, 0xc7, 0x86, 0xab, 0xef, 0xef,
|
||||
/* (2^ 56)P */ 0xbf, 0x54, 0x9a, 0x09, 0x5d, 0x17, 0xd0, 0xde, 0xfb, 0xf5, 0xca, 0xff, 0x13, 0x20, 0x88, 0x82, 0x3a, 0xe2, 0xd0, 0x3b, 0xfb, 0x05, 0x76, 0xd1, 0xc0, 0x02, 0x71, 0x3b, 0x94, 0xe8, 0xc9, 0x84, 0xcf, 0xa4, 0xe9, 0x28, 0x7b, 0xf5, 0x09, 0xc3, 0x2b, 0x22, 0x40, 0xf1, 0x68, 0x24, 0x24, 0x7d, 0x9f, 0x6e, 0xcd, 0xfe, 0xb0, 0x19, 0x61, 0xf5,
|
||||
/* (2^ 57)P */ 0xe8, 0x63, 0x51, 0xb3, 0x95, 0x6b, 0x7b, 0x74, 0x92, 0x52, 0x45, 0xa4, 0xed, 0xea, 0x0e, 0x0d, 0x2b, 0x01, 0x1e, 0x2c, 0xbc, 0x91, 0x06, 0x69, 0xdb, 0x1f, 0xb5, 0x77, 0x1d, 0x56, 0xf5, 0xb4, 0x02, 0x80, 0x49, 0x56, 0x12, 0xce, 0x86, 0x05, 0xc9, 0xd9, 0xae, 0xf3, 0x6d, 0xe6, 0x3f, 0x40, 0x52, 0xe9, 0x49, 0x2b, 0x31, 0x06, 0x86, 0x14,
|
||||
/* (2^ 58)P */ 0xf5, 0x09, 0x3b, 0xd2, 0xff, 0xdf, 0x11, 0xa5, 0x1c, 0x99, 0xe8, 0x1b, 0xa4, 0x2c, 0x7d, 0x8e, 0xc8, 0xf7, 0x03, 0x46, 0xfa, 0xb6, 0xde, 0x73, 0x91, 0x7e, 0x5a, 0x7a, 0xd7, 0x9a, 0x5b, 0x80, 0x24, 0x62, 0x5e, 0x92, 0xf1, 0xa3, 0x45, 0xa3, 0x43, 0x92, 0x8a, 0x2a, 0x5b, 0x0c, 0xb4, 0xc8, 0xad, 0x1c, 0xb6, 0x6c, 0x5e, 0x81, 0x18, 0x91,
|
||||
/* (2^ 59)P */ 0x96, 0xb3, 0xca, 0x2b, 0xe3, 0x7a, 0x59, 0x72, 0x17, 0x74, 0x29, 0x21, 0xe7, 0x78, 0x07, 0xad, 0xda, 0xb6, 0xcd, 0xf9, 0x27, 0x4d, 0xc8, 0xf2, 0x98, 0x22, 0xca, 0xf2, 0x33, 0x74, 0x7a, 0xdd, 0x1e, 0x71, 0xec, 0xe3, 0x3f, 0xe2, 0xa2, 0xd2, 0x38, 0x75, 0xb0, 0xd0, 0x0a, 0xcf, 0x7d, 0x36, 0xdc, 0x49, 0x38, 0x25, 0x34, 0x4f, 0x20, 0x9a,
|
||||
/* (2^ 60)P */ 0x2b, 0x6e, 0x04, 0x0d, 0x4f, 0x3d, 0x3b, 0x24, 0xf6, 0x4e, 0x5e, 0x0a, 0xbd, 0x48, 0x96, 0xba, 0x81, 0x8f, 0x39, 0x82, 0x13, 0xe6, 0x72, 0xf3, 0x0f, 0xb6, 0x94, 0xf4, 0xc5, 0x90, 0x74, 0x91, 0xa8, 0xf2, 0xc9, 0xca, 0x9a, 0x4d, 0x98, 0xf2, 0xdf, 0x52, 0x4e, 0x97, 0x2f, 0xeb, 0x84, 0xd3, 0xaf, 0xc2, 0xcc, 0xfb, 0x4c, 0x26, 0x4b, 0xe4,
|
||||
/* (2^ 61)P */ 0x12, 0x9e, 0xfb, 0x9d, 0x78, 0x79, 0x99, 0xdd, 0xb3, 0x0b, 0x2e, 0x56, 0x41, 0x8e, 0x3f, 0x39, 0xb8, 0x97, 0x89, 0x53, 0x9b, 0x8a, 0x3c, 0x40, 0x9d, 0xa4, 0x6c, 0x2e, 0x31, 0x71, 0xc6, 0x0a, 0x41, 0xd4, 0x95, 0x06, 0x5e, 0xc1, 0xab, 0xc2, 0x14, 0xc4, 0xc7, 0x15, 0x08, 0x3a, 0xad, 0x7a, 0xb4, 0x62, 0xa3, 0x0c, 0x90, 0xf4, 0x47, 0x08,
|
||||
/* (2^ 62)P */ 0x7f, 0xec, 0x09, 0x82, 0xf5, 0x94, 0x09, 0x93, 0x32, 0xd3, 0xdc, 0x56, 0x80, 0x7b, 0x5b, 0x22, 0x80, 0x6a, 0x96, 0x72, 0xb1, 0xc2, 0xd9, 0xa1, 0x8b, 0x66, 0x42, 0x16, 0xe2, 0x07, 0xb3, 0x2d, 0xf1, 0x75, 0x35, 0x72, 0xc7, 0x98, 0xbe, 0x63, 0x3b, 0x20, 0x75, 0x05, 0xc1, 0x3e, 0x31, 0x5a, 0xf7, 0xaa, 0xae, 0x4b, 0xdb, 0x1d, 0xd0, 0x74,
|
||||
/* (2^ 63)P */ 0x36, 0x5c, 0x74, 0xe6, 0x5d, 0x59, 0x3f, 0x15, 0x4b, 0x4d, 0x4e, 0x67, 0x41, 0xfe, 0x98, 0x1f, 0x49, 0x76, 0x91, 0x0f, 0x9b, 0xf4, 0xaf, 0x86, 0xaf, 0x66, 0x19, 0xed, 0x46, 0xf1, 0x05, 0x9a, 0xcc, 0xd1, 0x14, 0x1f, 0x82, 0x12, 0x8e, 0xe6, 0xf4, 0xc3, 0x42, 0x5c, 0x4e, 0x33, 0x93, 0xbe, 0x30, 0xe7, 0x64, 0xa9, 0x35, 0x00, 0x4d, 0xf9,
|
||||
/* (2^ 64)P */ 0x1f, 0xc1, 0x1e, 0xb7, 0xe3, 0x7c, 0xfa, 0xa3, 0x6b, 0x76, 0xaf, 0x9c, 0x05, 0x85, 0x4a, 0xa9, 0xfb, 0xe3, 0x7e, 0xf2, 0x49, 0x56, 0xdc, 0x2f, 0x57, 0x10, 0xba, 0x37, 0xb2, 0x62, 0xf5, 0x6b, 0xe5, 0x8f, 0x0a, 0x87, 0xd1, 0x6a, 0xcb, 0x9d, 0x07, 0xd0, 0xf6, 0x38, 0x99, 0x2c, 0x61, 0x4a, 0x4e, 0xd8, 0xd2, 0x88, 0x29, 0x99, 0x11, 0x95,
|
||||
/* (2^ 65)P */ 0x6f, 0xdc, 0xd5, 0xd6, 0xd6, 0xa7, 0x4c, 0x46, 0x93, 0x65, 0x62, 0x23, 0x95, 0x32, 0x9c, 0xde, 0x40, 0x41, 0x68, 0x2c, 0x18, 0x4e, 0x5a, 0x8c, 0xc0, 0xc5, 0xc5, 0xea, 0x5c, 0x45, 0x0f, 0x60, 0x78, 0x39, 0xb6, 0x36, 0x23, 0x12, 0xbc, 0x21, 0x9a, 0xf8, 0x91, 0xac, 0xc4, 0x70, 0xdf, 0x85, 0x8e, 0x3c, 0xec, 0x22, 0x04, 0x98, 0xa8, 0xaa,
|
||||
/* (2^ 66)P */ 0xcc, 0x52, 0x10, 0x5b, 0x4b, 0x6c, 0xc5, 0xfa, 0x3e, 0xd4, 0xf8, 0x1c, 0x04, 0x14, 0x48, 0x33, 0xd9, 0xfc, 0x5f, 0xb0, 0xa5, 0x48, 0x8c, 0x45, 0x8a, 0xee, 0x3e, 0xa7, 0xc1, 0x2e, 0x34, 0xca, 0xf6, 0xc9, 0xeb, 0x10, 0xbb, 0xe1, 0x59, 0x84, 0x25, 0xe8, 0x81, 0x70, 0xc0, 0x09, 0x42, 0xa7, 0x3b, 0x0d, 0x33, 0x00, 0xb5, 0x77, 0xbe, 0x25,
|
||||
/* (2^ 67)P */ 0xcd, 0x1f, 0xbc, 0x7d, 0xef, 0xe5, 0xca, 0x91, 0xaf, 0xa9, 0x59, 0x6a, 0x09, 0xca, 0xd6, 0x1b, 0x3d, 0x55, 0xde, 0xa2, 0x6a, 0x80, 0xd6, 0x95, 0x47, 0xe4, 0x5f, 0x68, 0x54, 0x08, 0xdf, 0x29, 0xba, 0x2a, 0x02, 0x84, 0xe8, 0xe9, 0x00, 0x77, 0x99, 0x36, 0x03, 0xf6, 0x4a, 0x3e, 0x21, 0x81, 0x7d, 0xb8, 0xa4, 0x8a, 0xa2, 0x05, 0xef, 0xbc,
|
||||
/* (2^ 68)P */ 0x7c, 0x59, 0x5f, 0x66, 0xd9, 0xb7, 0x83, 0x43, 0x8a, 0xa1, 0x8d, 0x51, 0x70, 0xba, 0xf2, 0x9b, 0x95, 0xc0, 0x4b, 0x4c, 0xa0, 0x14, 0xd3, 0xa4, 0x5d, 0x4a, 0x37, 0x36, 0x97, 0x31, 0x1e, 0x12, 0xe7, 0xbb, 0x08, 0x67, 0xa5, 0x23, 0xd7, 0xfb, 0x97, 0xd8, 0x6a, 0x03, 0xb1, 0xf8, 0x7f, 0xda, 0x58, 0xd9, 0x3f, 0x73, 0x4a, 0x53, 0xe1, 0x7b,
|
||||
/* (2^ 69)P */ 0x55, 0x83, 0x98, 0x78, 0x6c, 0x56, 0x5e, 0xed, 0xf7, 0x23, 0x3e, 0x4c, 0x7d, 0x09, 0x2d, 0x09, 0x9c, 0x58, 0x8b, 0x32, 0xca, 0xfe, 0xbf, 0x47, 0x03, 0xeb, 0x4d, 0xe7, 0xeb, 0x9c, 0x83, 0x05, 0x68, 0xaa, 0x80, 0x89, 0x44, 0xf9, 0xd4, 0xdc, 0xdb, 0xb1, 0xdb, 0x77, 0xac, 0xf9, 0x2a, 0xae, 0x35, 0xac, 0x74, 0xb5, 0x95, 0x62, 0x18, 0x85,
|
||||
/* (2^ 70)P */ 0xab, 0x82, 0x7e, 0x10, 0xd7, 0xe6, 0x57, 0xd1, 0x66, 0x12, 0x31, 0x9c, 0x9c, 0xa6, 0x27, 0x59, 0x71, 0x2e, 0xeb, 0xa0, 0x68, 0xc5, 0x87, 0x51, 0xf4, 0xca, 0x3f, 0x98, 0x56, 0xb0, 0x89, 0xb1, 0xc7, 0x7b, 0x46, 0xb3, 0xae, 0x36, 0xf2, 0xee, 0x15, 0x1a, 0x60, 0xf4, 0x50, 0x76, 0x4f, 0xc4, 0x53, 0x0d, 0x36, 0x4d, 0x31, 0xb1, 0x20, 0x51,
|
||||
/* (2^ 71)P */ 0xf7, 0x1d, 0x8c, 0x1b, 0x5e, 0xe5, 0x02, 0x6f, 0xc5, 0xa5, 0xe0, 0x5f, 0xc6, 0xb6, 0x63, 0x43, 0xaf, 0x3c, 0x19, 0x6c, 0xf4, 0xaf, 0xa4, 0x33, 0xb1, 0x0a, 0x37, 0x3d, 0xd9, 0x4d, 0xe2, 0x29, 0x24, 0x26, 0x94, 0x7c, 0x02, 0xe4, 0xe2, 0xf2, 0xbe, 0xbd, 0xac, 0x1b, 0x48, 0xb8, 0xdd, 0xe9, 0x0d, 0x9a, 0x50, 0x1a, 0x98, 0x71, 0x6e, 0xdc,
|
||||
/* (2^ 72)P */ 0x9f, 0x40, 0xb1, 0xb3, 0x66, 0x28, 0x6c, 0xfe, 0xa6, 0x7d, 0xf8, 0x3e, 0xb8, 0xf3, 0xde, 0x52, 0x76, 0x52, 0xa3, 0x92, 0x98, 0x23, 0xab, 0x4f, 0x88, 0x97, 0xfc, 0x22, 0xe1, 0x6b, 0x67, 0xcd, 0x13, 0x95, 0xda, 0x65, 0xdd, 0x3b, 0x67, 0x3f, 0x5f, 0x4c, 0xf2, 0x8a, 0xad, 0x98, 0xa7, 0x94, 0x24, 0x45, 0x87, 0x11, 0x7c, 0x75, 0x79, 0x85,
|
||||
/* (2^ 73)P */ 0x70, 0xbf, 0xf9, 0x3b, 0xa9, 0x44, 0x57, 0x72, 0x96, 0xc9, 0xa4, 0x98, 0x65, 0xbf, 0x87, 0xb3, 0x3a, 0x39, 0x12, 0xde, 0xe5, 0x39, 0x01, 0x4f, 0xf7, 0xc0, 0x71, 0x52, 0x36, 0x85, 0xb3, 0x18, 0xf8, 0x14, 0xc0, 0x6d, 0xae, 0x9e, 0x4f, 0xb0, 0x72, 0x87, 0xac, 0x5c, 0xd1, 0x6c, 0x41, 0x6c, 0x90, 0x9d, 0x22, 0x81, 0xe4, 0x2b, 0xea, 0xe5,
|
||||
/* (2^ 74)P */ 0xfc, 0xea, 0x1a, 0x65, 0xd9, 0x49, 0x6a, 0x39, 0xb5, 0x96, 0x72, 0x7b, 0x32, 0xf1, 0xd0, 0xe9, 0x45, 0xd9, 0x31, 0x55, 0xc7, 0x34, 0xe9, 0x5a, 0xec, 0x73, 0x0b, 0x03, 0xc4, 0xb3, 0xe6, 0xc9, 0x5e, 0x0a, 0x17, 0xfe, 0x53, 0x66, 0x7f, 0x21, 0x18, 0x74, 0x54, 0x1b, 0xc9, 0x49, 0x16, 0xd2, 0x48, 0xaf, 0x5b, 0x47, 0x7b, 0xeb, 0xaa, 0xc9,
|
||||
/* (2^ 75)P */ 0x47, 0x04, 0xf5, 0x5a, 0x87, 0x77, 0x9e, 0x21, 0x34, 0x4e, 0x83, 0x88, 0xaf, 0x02, 0x1d, 0xb0, 0x5a, 0x1d, 0x1d, 0x7d, 0x8d, 0x2c, 0xd3, 0x8d, 0x63, 0xa9, 0x45, 0xfb, 0x15, 0x6d, 0x86, 0x45, 0xcd, 0x38, 0x0e, 0xf7, 0x37, 0x79, 0xed, 0x6d, 0x5a, 0xbc, 0x32, 0xcc, 0x66, 0xf1, 0x3a, 0xb2, 0x87, 0x6f, 0x70, 0x71, 0xd9, 0xf2, 0xfa, 0x7b,
|
||||
/* (2^ 76)P */ 0x68, 0x07, 0xdc, 0x61, 0x40, 0xe4, 0xec, 0x32, 0xc8, 0xbe, 0x66, 0x30, 0x54, 0x80, 0xfd, 0x13, 0x7a, 0xef, 0xae, 0xed, 0x2e, 0x00, 0x6d, 0x3f, 0xbd, 0xfc, 0x91, 0x24, 0x53, 0x7f, 0x63, 0x9d, 0x2e, 0xe3, 0x76, 0xe0, 0xf3, 0xe1, 0x8f, 0x7a, 0xc4, 0x77, 0x0c, 0x91, 0xc0, 0xc2, 0x18, 0x6b, 0x04, 0xad, 0xb6, 0x70, 0x9a, 0x64, 0xc5, 0x82,
|
||||
/* (2^ 77)P */ 0x7f, 0xea, 0x13, 0xd8, 0x9e, 0xfc, 0x5b, 0x06, 0xb5, 0x4f, 0xda, 0x38, 0xe0, 0x9c, 0xd2, 0x3a, 0xc1, 0x1c, 0x62, 0x70, 0x7f, 0xc6, 0x24, 0x0a, 0x47, 0x04, 0x01, 0xc4, 0x55, 0x09, 0xd1, 0x7a, 0x07, 0xba, 0xa3, 0x80, 0x4f, 0xc1, 0x65, 0x36, 0x6d, 0xc0, 0x10, 0xcf, 0x94, 0xa9, 0xa2, 0x01, 0x44, 0xd1, 0xf9, 0x1c, 0x4c, 0xfb, 0xf8, 0x99,
|
||||
/* (2^ 78)P */ 0x6c, 0xb9, 0x6b, 0xee, 0x43, 0x5b, 0xb9, 0xbb, 0xee, 0x2e, 0x52, 0xc1, 0xc6, 0xb9, 0x61, 0xd2, 0x93, 0xa5, 0xaf, 0x52, 0xf4, 0xa4, 0x1a, 0x51, 0x61, 0xa7, 0xcb, 0x9e, 0xbb, 0x56, 0x65, 0xe2, 0xbf, 0x75, 0xb9, 0x9c, 0x50, 0x96, 0x60, 0x81, 0x74, 0x47, 0xc0, 0x04, 0x88, 0x71, 0x76, 0x39, 0x9a, 0xa7, 0xb1, 0x4e, 0x43, 0x15, 0xe0, 0xbb,
|
||||
/* (2^ 79)P */ 0xbb, 0xce, 0xe2, 0xbb, 0xf9, 0x17, 0x0f, 0x82, 0x40, 0xad, 0x73, 0xe3, 0xeb, 0x3b, 0x06, 0x1a, 0xcf, 0x8e, 0x6e, 0x28, 0xb8, 0x26, 0xd9, 0x5b, 0xb7, 0xb3, 0xcf, 0xb4, 0x6a, 0x1c, 0xbf, 0x7f, 0xb8, 0xb5, 0x79, 0xcf, 0x45, 0x68, 0x7d, 0xc5, 0xeb, 0xf3, 0xbe, 0x39, 0x40, 0xfc, 0x07, 0x90, 0x7a, 0x62, 0xad, 0x86, 0x08, 0x71, 0x25, 0xe1,
|
||||
/* (2^ 80)P */ 0x9b, 0x46, 0xac, 0xef, 0xc1, 0x4e, 0xa1, 0x97, 0x95, 0x76, 0xf9, 0x1b, 0xc2, 0xb2, 0x6a, 0x41, 0xea, 0x80, 0x3d, 0xe9, 0x08, 0x52, 0x5a, 0xe3, 0xf2, 0x08, 0xc5, 0xea, 0x39, 0x3f, 0x44, 0x71, 0x4d, 0xea, 0x0d, 0x05, 0x23, 0xe4, 0x2e, 0x3c, 0x89, 0xfe, 0x12, 0x8a, 0x95, 0x42, 0x0a, 0x68, 0xea, 0x5a, 0x28, 0x06, 0x9e, 0xe3, 0x5f, 0xe0,
|
||||
/* (2^ 81)P */ 0x00, 0x61, 0x6c, 0x98, 0x9b, 0xe7, 0xb9, 0x06, 0x1c, 0xc5, 0x1b, 0xed, 0xbe, 0xc8, 0xb3, 0xea, 0x87, 0xf0, 0xc4, 0x24, 0x7d, 0xbb, 0x5d, 0xa4, 0x1d, 0x7a, 0x16, 0x00, 0x55, 0x94, 0x67, 0x78, 0xbd, 0x58, 0x02, 0x82, 0x90, 0x53, 0x76, 0xd4, 0x72, 0x99, 0x51, 0x6f, 0x7b, 0xcf, 0x80, 0x30, 0x31, 0x3b, 0x01, 0xc7, 0xc1, 0xef, 0xe6, 0x42,
|
||||
/* (2^ 82)P */ 0xe2, 0x35, 0xaf, 0x4b, 0x79, 0xc6, 0x12, 0x24, 0x99, 0xc0, 0x68, 0xb0, 0x43, 0x3e, 0xe5, 0xef, 0xe2, 0x29, 0xea, 0xb8, 0xb3, 0xbc, 0x6a, 0x53, 0x2c, 0x69, 0x18, 0x5a, 0xf9, 0x15, 0xae, 0x66, 0x58, 0x18, 0xd3, 0x2d, 0x4b, 0x00, 0xfd, 0x84, 0xab, 0x4f, 0xae, 0x70, 0x6b, 0x9e, 0x9a, 0xdf, 0x83, 0xfd, 0x2e, 0x3c, 0xcf, 0xf8, 0x88, 0x5b,
|
||||
/* (2^ 83)P */ 0xa4, 0x90, 0x31, 0x85, 0x13, 0xcd, 0xdf, 0x64, 0xc9, 0xa1, 0x0b, 0xe7, 0xb6, 0x73, 0x8a, 0x1b, 0x22, 0x78, 0x4c, 0xd4, 0xae, 0x48, 0x18, 0x00, 0x00, 0xa8, 0x9f, 0x06, 0xf9, 0xfb, 0x2d, 0xc3, 0xb1, 0x2a, 0xbc, 0x13, 0x99, 0x57, 0xaf, 0xf0, 0x8d, 0x61, 0x54, 0x29, 0xd5, 0xf2, 0x72, 0x00, 0x96, 0xd1, 0x85, 0x12, 0x8a, 0xf0, 0x23, 0xfb,
|
||||
/* (2^ 84)P */ 0x69, 0xc7, 0xdb, 0xd9, 0x92, 0x75, 0x08, 0x9b, 0xeb, 0xa5, 0x93, 0xd1, 0x1a, 0xf4, 0xf5, 0xaf, 0xe6, 0xc4, 0x4a, 0x0d, 0x35, 0x26, 0x39, 0x9d, 0xd3, 0x17, 0x3e, 0xae, 0x2d, 0xbf, 0x73, 0x9f, 0xb7, 0x74, 0x91, 0xd1, 0xd8, 0x5c, 0x14, 0xf9, 0x75, 0xdf, 0xeb, 0xc2, 0x22, 0xd8, 0x14, 0x8d, 0x86, 0x23, 0x4d, 0xd1, 0x2d, 0xdb, 0x6b, 0x42,
|
||||
/* (2^ 85)P */ 0x8c, 0xda, 0xc6, 0xf8, 0x71, 0xba, 0x2b, 0x06, 0x78, 0xae, 0xcc, 0x3a, 0xe3, 0xe3, 0xa1, 0x8b, 0xe2, 0x34, 0x6d, 0x28, 0x9e, 0x46, 0x13, 0x4d, 0x9e, 0xa6, 0x73, 0x49, 0x65, 0x79, 0x88, 0xb9, 0x3a, 0xd1, 0x6d, 0x2f, 0x48, 0x2b, 0x0a, 0x7f, 0x58, 0x20, 0x37, 0xf4, 0x0e, 0xbb, 0x4a, 0x95, 0x58, 0x0c, 0x88, 0x30, 0xc4, 0x74, 0xdd, 0xfd,
|
||||
/* (2^ 86)P */ 0x6d, 0x13, 0x4e, 0x89, 0x2d, 0xa9, 0xa3, 0xed, 0x09, 0xe3, 0x0e, 0x71, 0x3e, 0x4a, 0xab, 0x90, 0xde, 0x03, 0xeb, 0x56, 0x46, 0x60, 0x06, 0xf5, 0x71, 0xe5, 0xee, 0x9b, 0xef, 0xff, 0xc4, 0x2c, 0x9f, 0x37, 0x48, 0x45, 0x94, 0x12, 0x41, 0x81, 0x15, 0x70, 0x91, 0x99, 0x5e, 0x56, 0x6b, 0xf4, 0xa6, 0xc9, 0xf5, 0x69, 0x9d, 0x78, 0x37, 0x57,
|
||||
/* (2^ 87)P */ 0xf3, 0x51, 0x57, 0x7e, 0x43, 0x6f, 0xc6, 0x67, 0x59, 0x0c, 0xcf, 0x94, 0xe6, 0x3d, 0xb5, 0x07, 0xc9, 0x77, 0x48, 0xc9, 0x68, 0x0d, 0x98, 0x36, 0x62, 0x35, 0x38, 0x1c, 0xf5, 0xc5, 0xec, 0x66, 0x78, 0xfe, 0x47, 0xab, 0x26, 0xd6, 0x44, 0xb6, 0x06, 0x0f, 0x89, 0xe3, 0x19, 0x40, 0x1a, 0xe7, 0xd8, 0x65, 0x55, 0xf7, 0x1a, 0xfc, 0xa3, 0x0e,
|
||||
/* (2^ 88)P */ 0x0e, 0x30, 0xa6, 0xb7, 0x58, 0x60, 0x62, 0x2a, 0x6c, 0x13, 0xa8, 0x14, 0x9b, 0xb8, 0xf2, 0x70, 0xd8, 0xb1, 0x71, 0x88, 0x8c, 0x18, 0x31, 0x25, 0x93, 0x90, 0xb4, 0xc7, 0x49, 0xd8, 0xd4, 0xdb, 0x1e, 0x1e, 0x7f, 0xaa, 0xba, 0xc9, 0xf2, 0x5d, 0xa9, 0x3a, 0x43, 0xb4, 0x5c, 0xee, 0x7b, 0xc7, 0x97, 0xb7, 0x66, 0xd7, 0x23, 0xd9, 0x22, 0x59,
|
||||
/* (2^ 89)P */ 0x28, 0x19, 0xa6, 0xf9, 0x89, 0x20, 0x78, 0xd4, 0x6d, 0xcb, 0x79, 0x8f, 0x61, 0x6f, 0xb2, 0x5c, 0x4f, 0xa6, 0x54, 0x84, 0x95, 0x24, 0x36, 0x64, 0xcb, 0x39, 0xe7, 0x8f, 0x97, 0x9c, 0x5c, 0x3c, 0xfb, 0x51, 0x11, 0x01, 0x17, 0xdb, 0xc9, 0x9b, 0x51, 0x03, 0x9a, 0xe9, 0xe5, 0x24, 0x1e, 0xf5, 0xda, 0xe0, 0x48, 0x02, 0x23, 0xd0, 0x2c, 0x81,
|
||||
/* (2^ 90)P */ 0x42, 0x1b, 0xe4, 0x91, 0x85, 0x2a, 0x0c, 0xd2, 0x28, 0x66, 0x57, 0x9e, 0x33, 0x8d, 0x25, 0x71, 0x10, 0x65, 0x76, 0xa2, 0x8c, 0x21, 0x86, 0x81, 0x15, 0xc2, 0x27, 0xeb, 0x54, 0x2d, 0x4f, 0x6c, 0xe6, 0xd6, 0x24, 0x9c, 0x1a, 0x12, 0xb8, 0x81, 0xe2, 0x0a, 0xf3, 0xd3, 0xf0, 0xd3, 0xe1, 0x74, 0x1f, 0x9b, 0x11, 0x47, 0xd0, 0xcf, 0xb6, 0x54,
|
||||
/* (2^ 91)P */ 0x26, 0x45, 0xa2, 0x10, 0xd4, 0x2d, 0xae, 0xc0, 0xb0, 0xe8, 0x86, 0xb3, 0xc7, 0xea, 0x70, 0x87, 0x61, 0xb5, 0xa5, 0x55, 0xbe, 0x88, 0x1d, 0x7a, 0xd9, 0x6f, 0xeb, 0x83, 0xe2, 0x44, 0x7f, 0x98, 0x04, 0xd6, 0x50, 0x9d, 0xa7, 0x86, 0x66, 0x09, 0x63, 0xe1, 0xed, 0x72, 0xb1, 0xe4, 0x1d, 0x3a, 0xfd, 0x47, 0xce, 0x1c, 0xaa, 0x3b, 0x8f, 0x1b,
|
||||
/* (2^ 92)P */ 0xf4, 0x3c, 0x4a, 0xb6, 0xc2, 0x9c, 0xe0, 0x2e, 0xb7, 0x38, 0xea, 0x61, 0x35, 0x97, 0x10, 0x90, 0xae, 0x22, 0x48, 0xb3, 0xa9, 0xc6, 0x7a, 0xbb, 0x23, 0xf2, 0xf8, 0x1b, 0xa7, 0xa1, 0x79, 0xcc, 0xc4, 0xf8, 0x08, 0x76, 0x8a, 0x5a, 0x1c, 0x1b, 0xc5, 0x33, 0x91, 0xa9, 0xb8, 0xb9, 0xd3, 0xf8, 0x49, 0xcd, 0xe5, 0x82, 0x43, 0xf7, 0xca, 0x68,
|
||||
/* (2^ 93)P */ 0x38, 0xba, 0xae, 0x44, 0xfe, 0x57, 0x64, 0x56, 0x7c, 0x0e, 0x9c, 0xca, 0xff, 0xa9, 0x82, 0xbb, 0x38, 0x4a, 0xa7, 0xf7, 0x47, 0xab, 0xbe, 0x6d, 0x23, 0x0b, 0x8a, 0xed, 0xc2, 0xb9, 0x8f, 0xf1, 0xec, 0x91, 0x44, 0x73, 0x64, 0xba, 0xd5, 0x8f, 0x37, 0x38, 0x0d, 0xd5, 0xf8, 0x73, 0x57, 0xb6, 0xc2, 0x45, 0xdc, 0x25, 0xb2, 0xb6, 0xea, 0xd9,
|
||||
/* (2^ 94)P */ 0xbf, 0xe9, 0x1a, 0x40, 0x4d, 0xcc, 0xe6, 0x1d, 0x70, 0x1a, 0x65, 0xcc, 0x34, 0x2c, 0x37, 0x2c, 0x2d, 0x6b, 0x6d, 0xe5, 0x2f, 0x19, 0x9e, 0xe4, 0xe1, 0xaa, 0xd4, 0xab, 0x54, 0xf4, 0xa8, 0xe4, 0x69, 0x2d, 0x8e, 0x4d, 0xd7, 0xac, 0xb0, 0x5b, 0xfe, 0xe3, 0x26, 0x07, 0xc3, 0xf8, 0x1b, 0x43, 0xa8, 0x1d, 0x64, 0xa5, 0x25, 0x88, 0xbb, 0x77,
|
||||
/* (2^ 95)P */ 0x92, 0xcd, 0x6e, 0xa0, 0x79, 0x04, 0x18, 0xf4, 0x11, 0x58, 0x48, 0xb5, 0x3c, 0x7b, 0xd1, 0xcc, 0xd3, 0x14, 0x2c, 0xa0, 0xdd, 0x04, 0x44, 0x11, 0xb3, 0x6d, 0x2f, 0x0d, 0xf5, 0x2a, 0x75, 0x5d, 0x1d, 0xda, 0x86, 0x8d, 0x7d, 0x6b, 0x32, 0x68, 0xb6, 0x6c, 0x64, 0x9e, 0xde, 0x80, 0x88, 0xce, 0x08, 0xbf, 0x0b, 0xe5, 0x8e, 0x4f, 0x1d, 0xfb,
|
||||
/* (2^ 96)P */ 0xaf, 0xe8, 0x85, 0xbf, 0x7f, 0x37, 0x8d, 0x66, 0x7c, 0xd5, 0xd3, 0x96, 0xa5, 0x81, 0x67, 0x95, 0xff, 0x48, 0xde, 0xde, 0xd7, 0x7a, 0x46, 0x34, 0xb1, 0x13, 0x70, 0x29, 0xed, 0x87, 0x90, 0xb0, 0x40, 0x2c, 0xa6, 0x43, 0x6e, 0xb6, 0xbc, 0x48, 0x8a, 0xc1, 0xae, 0xb8, 0xd4, 0xe2, 0xc0, 0x32, 0xb2, 0xa6, 0x2a, 0x8f, 0xb5, 0x16, 0x9e, 0xc3,
|
||||
/* (2^ 97)P */ 0xff, 0x4d, 0xd2, 0xd6, 0x74, 0xef, 0x2c, 0x96, 0xc1, 0x11, 0xa8, 0xb8, 0xfe, 0x94, 0x87, 0x3e, 0xa0, 0xfb, 0x57, 0xa3, 0xfc, 0x7a, 0x7e, 0x6a, 0x59, 0x6c, 0x54, 0xbb, 0xbb, 0xa2, 0x25, 0x38, 0x1b, 0xdf, 0x5d, 0x7b, 0x94, 0x14, 0xde, 0x07, 0x6e, 0xd3, 0xab, 0x02, 0x26, 0x74, 0x16, 0x12, 0xdf, 0x2e, 0x2a, 0xa7, 0xb0, 0xe8, 0x29, 0xc0,
|
||||
/* (2^ 98)P */ 0x6a, 0x38, 0x0b, 0xd3, 0xba, 0x45, 0x23, 0xe0, 0x04, 0x3b, 0x83, 0x39, 0xc5, 0x11, 0xe6, 0xcf, 0x39, 0x0a, 0xb3, 0xb0, 0x3b, 0x27, 0x29, 0x63, 0x1c, 0xf3, 0x00, 0xe6, 0xd2, 0x55, 0x21, 0x1f, 0x84, 0x97, 0x9f, 0x01, 0x49, 0x43, 0x30, 0x5f, 0xe0, 0x1d, 0x24, 0xc4, 0x4e, 0xa0, 0x2b, 0x0b, 0x12, 0x55, 0xc3, 0x27, 0xae, 0x08, 0x83, 0x7c,
|
||||
/* (2^ 99)P */ 0x5d, 0x1a, 0xb7, 0xa9, 0xf5, 0xfd, 0xec, 0xad, 0xb7, 0x87, 0x02, 0x5f, 0x0d, 0x30, 0x4d, 0xe2, 0x65, 0x87, 0xa4, 0x41, 0x45, 0x1d, 0x67, 0xe0, 0x30, 0x5c, 0x13, 0x87, 0xf6, 0x2e, 0x08, 0xc1, 0xc7, 0x12, 0x45, 0xc8, 0x9b, 0xad, 0xb8, 0xd5, 0x57, 0xbb, 0x5c, 0x48, 0x3a, 0xe1, 0x91, 0x5e, 0xf6, 0x4d, 0x8a, 0x63, 0x75, 0x69, 0x0c, 0x01,
|
||||
/* (2^100)P */ 0x8f, 0x53, 0x2d, 0xa0, 0x71, 0x3d, 0xfc, 0x45, 0x10, 0x96, 0xcf, 0x56, 0xf9, 0xbb, 0x40, 0x3c, 0x86, 0x52, 0x76, 0xbe, 0x84, 0xf9, 0xa6, 0x9d, 0x3d, 0x27, 0xbe, 0xb4, 0x00, 0x49, 0x94, 0xf5, 0x5d, 0xe1, 0x62, 0x85, 0x66, 0xe5, 0xb8, 0x20, 0x2c, 0x09, 0x7d, 0x9d, 0x3d, 0x6e, 0x74, 0x39, 0xab, 0xad, 0xa0, 0x90, 0x97, 0x5f, 0xbb, 0xa7,
|
||||
/* (2^101)P */ 0xdb, 0x2d, 0x99, 0x08, 0x16, 0x46, 0x83, 0x7a, 0xa8, 0xea, 0x3d, 0x28, 0x5b, 0x49, 0xfc, 0xb9, 0x6d, 0x00, 0x9e, 0x54, 0x4f, 0x47, 0x64, 0x9b, 0x58, 0x4d, 0x07, 0x0c, 0x6f, 0x29, 0x56, 0x0b, 0x00, 0x14, 0x85, 0x96, 0x41, 0x04, 0xb9, 0x5c, 0xa4, 0xf6, 0x16, 0x73, 0x6a, 0xc7, 0x62, 0x0c, 0x65, 0x2f, 0x93, 0xbf, 0xf7, 0xb9, 0xb7, 0xf1,
|
||||
/* (2^102)P */ 0xeb, 0x6d, 0xb3, 0x46, 0x32, 0xd2, 0xcb, 0x08, 0x94, 0x14, 0xbf, 0x3f, 0xc5, 0xcb, 0x5f, 0x9f, 0x8a, 0x89, 0x0c, 0x1b, 0x45, 0xad, 0x4c, 0x50, 0xb4, 0xe1, 0xa0, 0x6b, 0x11, 0x92, 0xaf, 0x1f, 0x00, 0xcc, 0xe5, 0x13, 0x7e, 0xe4, 0x2e, 0xa0, 0x57, 0xf3, 0xa7, 0x84, 0x79, 0x7a, 0xc2, 0xb7, 0xb7, 0xfc, 0x5d, 0xa5, 0xa9, 0x64, 0xcc, 0xd8,
|
||||
/* (2^103)P */ 0xa9, 0xc4, 0x12, 0x8b, 0x34, 0x78, 0x3e, 0x38, 0xfd, 0x3f, 0x87, 0xfa, 0x88, 0x94, 0xd5, 0xd9, 0x7f, 0xeb, 0x58, 0xff, 0xb9, 0x45, 0xdb, 0xa1, 0xed, 0x22, 0x28, 0x1d, 0x00, 0x6d, 0x79, 0x85, 0x7a, 0x75, 0x5d, 0xf0, 0xb1, 0x9e, 0x47, 0x28, 0x8c, 0x62, 0xdf, 0xfb, 0x4c, 0x7b, 0xc5, 0x1a, 0x42, 0x95, 0xef, 0x9a, 0xb7, 0x27, 0x7e, 0xda,
|
||||
/* (2^104)P */ 0xca, 0xd5, 0xc0, 0x17, 0xa1, 0x66, 0x79, 0x9c, 0x2a, 0xb7, 0x0a, 0xfe, 0x62, 0xe4, 0x26, 0x78, 0x90, 0xa7, 0xcb, 0xb0, 0x4f, 0x6d, 0xf9, 0x8f, 0xf7, 0x7d, 0xac, 0xb8, 0x78, 0x1f, 0x41, 0xea, 0x97, 0x1e, 0x62, 0x97, 0x43, 0x80, 0x58, 0x80, 0xb6, 0x69, 0x7d, 0xee, 0x16, 0xd2, 0xa1, 0x81, 0xd7, 0xb1, 0x27, 0x03, 0x48, 0xda, 0xab, 0xec,
|
||||
/* (2^105)P */ 0x5b, 0xed, 0x40, 0x8e, 0x8c, 0xc1, 0x66, 0x90, 0x7f, 0x0c, 0xb2, 0xfc, 0xbd, 0x16, 0xac, 0x7d, 0x4c, 0x6a, 0xf9, 0xae, 0xe7, 0x4e, 0x11, 0x12, 0xe9, 0xbe, 0x17, 0x09, 0xc6, 0xc1, 0x5e, 0xb5, 0x7b, 0x50, 0x5c, 0x27, 0xfb, 0x80, 0xab, 0x01, 0xfa, 0x5b, 0x9b, 0x75, 0x16, 0x6e, 0xb2, 0x5c, 0x8c, 0x2f, 0xa5, 0x6a, 0x1a, 0x68, 0xa6, 0x90,
|
||||
/* (2^106)P */ 0x75, 0xfe, 0xb6, 0x96, 0x96, 0x87, 0x4c, 0x12, 0xa9, 0xd1, 0xd8, 0x03, 0xa3, 0xc1, 0x15, 0x96, 0xe8, 0xa0, 0x75, 0x82, 0xa0, 0x6d, 0xea, 0x54, 0xdc, 0x5f, 0x0d, 0x7e, 0xf6, 0x70, 0xb5, 0xdc, 0x7a, 0xf6, 0xc4, 0xd4, 0x21, 0x49, 0xf5, 0xd4, 0x14, 0x6d, 0x48, 0x1d, 0x7c, 0x99, 0x42, 0xdf, 0x78, 0x6b, 0x9d, 0xb9, 0x30, 0x3c, 0xd0, 0x29,
|
||||
/* (2^107)P */ 0x85, 0xd6, 0xd8, 0xf3, 0x91, 0x74, 0xdd, 0xbd, 0x72, 0x96, 0x10, 0xe4, 0x76, 0x02, 0x5a, 0x72, 0x67, 0xd3, 0x17, 0x72, 0x14, 0x9a, 0x20, 0x5b, 0x0f, 0x8d, 0xed, 0x6d, 0x4e, 0xe3, 0xd9, 0x82, 0xc2, 0x99, 0xee, 0x39, 0x61, 0x69, 0x8a, 0x24, 0x01, 0x92, 0x15, 0xe7, 0xfc, 0xf9, 0x4d, 0xac, 0xf1, 0x30, 0x49, 0x01, 0x0b, 0x6e, 0x0f, 0x20,
|
||||
/* (2^108)P */ 0xd8, 0x25, 0x94, 0x5e, 0x43, 0x29, 0xf5, 0xcc, 0xe8, 0xe3, 0x55, 0x41, 0x3c, 0x9f, 0x58, 0x5b, 0x00, 0xeb, 0xc5, 0xdf, 0xcf, 0xfb, 0xfd, 0x6e, 0x92, 0xec, 0x99, 0x30, 0xd6, 0x05, 0xdd, 0x80, 0x7a, 0x5d, 0x6d, 0x16, 0x85, 0xd8, 0x9d, 0x43, 0x65, 0xd8, 0x2c, 0x33, 0x2f, 0x5c, 0x41, 0xea, 0xb7, 0x95, 0x77, 0xf2, 0x9e, 0x59, 0x09, 0xe8,
|
||||
/* (2^109)P */ 0x00, 0xa0, 0x03, 0x80, 0xcd, 0x60, 0xe5, 0x17, 0xd4, 0x15, 0x99, 0xdd, 0x4f, 0xbf, 0x66, 0xb8, 0xc0, 0xf5, 0xf9, 0xfc, 0x6d, 0x42, 0x18, 0x34, 0x1c, 0x7d, 0x5b, 0xb5, 0x09, 0xd0, 0x99, 0x57, 0x81, 0x0b, 0x62, 0xb3, 0xa2, 0xf9, 0x0b, 0xae, 0x95, 0xb8, 0xc2, 0x3b, 0x0d, 0x5b, 0x00, 0xf1, 0xed, 0xbc, 0x05, 0x9d, 0x61, 0xbc, 0x73, 0x9d,
|
||||
/* (2^110)P */ 0xd4, 0xdb, 0x29, 0xe5, 0x85, 0xe9, 0xc6, 0x89, 0x2a, 0xa8, 0x54, 0xab, 0xb3, 0x7f, 0x88, 0xc0, 0x4d, 0xe0, 0xd1, 0x74, 0x6e, 0xa3, 0xa7, 0x39, 0xd5, 0xcc, 0xa1, 0x8a, 0xcb, 0x5b, 0x34, 0xad, 0x92, 0xb4, 0xd8, 0xd5, 0x17, 0xf6, 0x77, 0x18, 0x9e, 0xaf, 0x45, 0x3b, 0x03, 0xe2, 0xf8, 0x52, 0x60, 0xdc, 0x15, 0x20, 0x9e, 0xdf, 0xd8, 0x5d,
|
||||
/* (2^111)P */ 0x02, 0xc1, 0xac, 0x1a, 0x15, 0x8e, 0x6c, 0xf5, 0x1e, 0x1e, 0xba, 0x7e, 0xc2, 0xda, 0x7d, 0x02, 0xda, 0x43, 0xae, 0x04, 0x70, 0x28, 0x54, 0x78, 0x94, 0xf5, 0x4f, 0x07, 0x84, 0x8f, 0xed, 0xaa, 0xc0, 0xb8, 0xcd, 0x7f, 0x7e, 0x33, 0xa3, 0xbe, 0x21, 0x29, 0xc8, 0x56, 0x34, 0xc0, 0x76, 0x87, 0x8f, 0xc7, 0x73, 0x58, 0x90, 0x16, 0xfc, 0xd6,
|
||||
/* (2^112)P */ 0xb8, 0x3f, 0xe1, 0xdf, 0x3a, 0x91, 0x25, 0x0c, 0xf6, 0x47, 0xa8, 0x89, 0xc4, 0xc6, 0x61, 0xec, 0x86, 0x2c, 0xfd, 0xbe, 0xa4, 0x6f, 0xc2, 0xd4, 0x46, 0x19, 0x70, 0x5d, 0x09, 0x02, 0x86, 0xd3, 0x4b, 0xe9, 0x16, 0x7b, 0xf0, 0x0d, 0x6c, 0xff, 0x91, 0x05, 0xbf, 0x55, 0xb4, 0x00, 0x8d, 0xe5, 0x6d, 0x68, 0x20, 0x90, 0x12, 0xb5, 0x5c, 0x32,
|
||||
/* (2^113)P */ 0x80, 0x45, 0xc8, 0x51, 0x87, 0xba, 0x1c, 0x5c, 0xcf, 0x5f, 0x4b, 0x3c, 0x9e, 0x3b, 0x36, 0xd2, 0x26, 0xa2, 0x7f, 0xab, 0xb7, 0xbf, 0xda, 0x68, 0x23, 0x8f, 0xc3, 0xa0, 0xfd, 0xad, 0xf1, 0x56, 0x3b, 0xd0, 0x75, 0x2b, 0x44, 0x61, 0xd8, 0xf4, 0xf1, 0x05, 0x49, 0x53, 0x07, 0xee, 0x47, 0xef, 0xc0, 0x7c, 0x9d, 0xe4, 0x15, 0x88, 0xc5, 0x47,
|
||||
/* (2^114)P */ 0x2d, 0xb5, 0x09, 0x80, 0xb9, 0xd3, 0xd8, 0xfe, 0x4c, 0xd2, 0xa6, 0x6e, 0xd3, 0x75, 0xcf, 0xb0, 0x99, 0xcb, 0x50, 0x8d, 0xe9, 0x67, 0x9b, 0x20, 0xe8, 0x57, 0xd8, 0x14, 0x85, 0x73, 0x6a, 0x74, 0xe0, 0x99, 0xf0, 0x6b, 0x6e, 0x59, 0x30, 0x31, 0x33, 0x96, 0x5f, 0xa1, 0x0c, 0x1b, 0xf4, 0xca, 0x09, 0xe1, 0x9b, 0xb5, 0xcf, 0x6d, 0x0b, 0xeb,
|
||||
/* (2^115)P */ 0x1a, 0xde, 0x50, 0xa9, 0xac, 0x3e, 0x10, 0x43, 0x4f, 0x82, 0x4f, 0xc0, 0xfe, 0x3f, 0x33, 0xd2, 0x64, 0x86, 0x50, 0xa9, 0x51, 0x76, 0x5e, 0x50, 0x97, 0x6c, 0x73, 0x8d, 0x77, 0xa3, 0x75, 0x03, 0xbc, 0xc9, 0xfb, 0x50, 0xd9, 0x6d, 0x16, 0xad, 0x5d, 0x32, 0x3d, 0xac, 0x44, 0xdf, 0x51, 0xf7, 0x19, 0xd4, 0x0b, 0x57, 0x78, 0x0b, 0x81, 0x4e,
|
||||
/* (2^116)P */ 0x32, 0x24, 0xf1, 0x6c, 0x55, 0x62, 0x1d, 0xb3, 0x1f, 0xda, 0xfa, 0x6a, 0x8f, 0x98, 0x01, 0x16, 0xde, 0x44, 0x50, 0x0d, 0x2e, 0x6c, 0x0b, 0xa2, 0xd3, 0x74, 0x0e, 0xa9, 0xbf, 0x8d, 0xa9, 0xc8, 0xc8, 0x2f, 0x62, 0xc1, 0x35, 0x5e, 0xfd, 0x3a, 0xb3, 0x83, 0x2d, 0xee, 0x4e, 0xfd, 0x5c, 0x5e, 0xad, 0x85, 0xa5, 0x10, 0xb5, 0x4f, 0x34, 0xa7,
|
||||
/* (2^117)P */ 0xd1, 0x58, 0x6f, 0xe6, 0x54, 0x2c, 0xc2, 0xcd, 0xcf, 0x83, 0xdc, 0x88, 0x0c, 0xb9, 0xb4, 0x62, 0x18, 0x89, 0x65, 0x28, 0xe9, 0x72, 0x4b, 0x65, 0xcf, 0xd6, 0x90, 0x88, 0xd7, 0x76, 0x17, 0x4f, 0x74, 0x64, 0x1e, 0xcb, 0xd3, 0xf5, 0x4b, 0xaa, 0x2e, 0x4d, 0x2d, 0x7c, 0x13, 0x1f, 0xfd, 0xd9, 0x60, 0x83, 0x7e, 0xda, 0x64, 0x1c, 0xdc, 0x9f,
|
||||
/* (2^118)P */ 0xad, 0xef, 0xac, 0x1b, 0xc1, 0x30, 0x5a, 0x15, 0xc9, 0x1f, 0xac, 0xf1, 0xca, 0x44, 0x95, 0x95, 0xea, 0xf2, 0x22, 0xe7, 0x8d, 0x25, 0xf0, 0xff, 0xd8, 0x71, 0xf7, 0xf8, 0x8f, 0x8f, 0xcd, 0xf4, 0x1e, 0xfe, 0x6c, 0x68, 0x04, 0xb8, 0x78, 0xa1, 0x5f, 0xa6, 0x5d, 0x5e, 0xf9, 0x8d, 0xea, 0x80, 0xcb, 0xf3, 0x17, 0xa6, 0x03, 0xc9, 0x38, 0xd5,
|
||||
/* (2^119)P */ 0x79, 0x14, 0x31, 0xc3, 0x38, 0xe5, 0xaa, 0xbf, 0x17, 0xa3, 0x04, 0x4e, 0x80, 0x59, 0x9c, 0x9f, 0x19, 0x39, 0xe4, 0x2d, 0x23, 0x54, 0x4a, 0x7f, 0x3e, 0xf3, 0xd9, 0xc7, 0xba, 0x6c, 0x8f, 0x6b, 0xfa, 0x34, 0xb5, 0x23, 0x17, 0x1d, 0xff, 0x1d, 0xea, 0x1f, 0xd7, 0xba, 0x61, 0xb2, 0xe0, 0x38, 0x6a, 0xe9, 0xcf, 0x48, 0x5d, 0x6a, 0x10, 0x9c,
|
||||
/* (2^120)P */ 0xc8, 0xbb, 0x13, 0x1c, 0x3f, 0x3c, 0x34, 0xfd, 0xac, 0x37, 0x52, 0x44, 0x25, 0xa8, 0xde, 0x1d, 0x63, 0xf4, 0x81, 0x9a, 0xbe, 0x0b, 0x74, 0x2e, 0xc8, 0x51, 0x16, 0xd3, 0xac, 0x4a, 0xaf, 0xe2, 0x5f, 0x3a, 0x89, 0x32, 0xd1, 0x9b, 0x7c, 0x90, 0x0d, 0xac, 0xdc, 0x8b, 0x73, 0x45, 0x45, 0x97, 0xb1, 0x90, 0x2c, 0x1b, 0x31, 0xca, 0xb1, 0x94,
|
||||
/* (2^121)P */ 0x07, 0x28, 0xdd, 0x10, 0x14, 0xa5, 0x95, 0x7e, 0xf3, 0xe4, 0xd4, 0x14, 0xb4, 0x7e, 0x76, 0xdb, 0x42, 0xd6, 0x94, 0x3e, 0xeb, 0x44, 0x64, 0x88, 0x0d, 0xec, 0xc1, 0x21, 0xf0, 0x79, 0xe0, 0x83, 0x67, 0x55, 0x53, 0xc2, 0xf6, 0xc5, 0xc5, 0x89, 0x39, 0xe8, 0x42, 0xd0, 0x17, 0xbd, 0xff, 0x35, 0x59, 0x0e, 0xc3, 0x06, 0x86, 0xd4, 0x64, 0xcf,
|
||||
/* (2^122)P */ 0x91, 0xa8, 0xdb, 0x57, 0x9b, 0xe2, 0x96, 0x31, 0x10, 0x6e, 0xd7, 0x9a, 0x97, 0xb3, 0xab, 0xb5, 0x15, 0x66, 0xbe, 0xcc, 0x6d, 0x9a, 0xac, 0x06, 0xb3, 0x0d, 0xaa, 0x4b, 0x9c, 0x96, 0x79, 0x6c, 0x34, 0xee, 0x9e, 0x53, 0x4d, 0x6e, 0xbd, 0x88, 0x02, 0xbf, 0x50, 0x54, 0x12, 0x5d, 0x01, 0x02, 0x46, 0xc6, 0x74, 0x02, 0x8c, 0x24, 0xae, 0xb1,
|
||||
/* (2^123)P */ 0xf5, 0x22, 0xea, 0xac, 0x7d, 0x9c, 0x33, 0x8a, 0xa5, 0x36, 0x79, 0x6a, 0x4f, 0xa4, 0xdc, 0xa5, 0x73, 0x64, 0xc4, 0x6f, 0x43, 0x02, 0x3b, 0x94, 0x66, 0xd2, 0x4b, 0x4f, 0xf6, 0x45, 0x33, 0x5d, 0x10, 0x33, 0x18, 0x1e, 0xa3, 0xfc, 0xf7, 0xd2, 0xb8, 0xc8, 0xa7, 0xe0, 0x76, 0x8a, 0xcd, 0xff, 0x4f, 0x99, 0x34, 0x47, 0x84, 0x91, 0x96, 0x9f,
|
||||
/* (2^124)P */ 0x8a, 0x48, 0x3b, 0x48, 0x4a, 0xbc, 0xac, 0xe2, 0x80, 0xd6, 0xd2, 0x35, 0xde, 0xd0, 0x56, 0x42, 0x33, 0xb3, 0x56, 0x5a, 0xcd, 0xb8, 0x3d, 0xb5, 0x25, 0xc1, 0xed, 0xff, 0x87, 0x0b, 0x79, 0xff, 0xf2, 0x62, 0xe1, 0x76, 0xc6, 0xa2, 0x0f, 0xa8, 0x9b, 0x0d, 0xcc, 0x3f, 0x3d, 0x35, 0x27, 0x8d, 0x0b, 0x74, 0xb0, 0xc3, 0x78, 0x8c, 0xcc, 0xc8,
|
||||
/* (2^125)P */ 0xfc, 0x9a, 0x0c, 0xa8, 0x49, 0x42, 0xb8, 0xdf, 0xcf, 0xb3, 0x19, 0xa6, 0x64, 0x57, 0xfe, 0xe8, 0xf8, 0xa6, 0x4b, 0x86, 0xa1, 0xd5, 0x83, 0x7f, 0x14, 0x99, 0x18, 0x0c, 0x7d, 0x5b, 0xf7, 0x3d, 0xf9, 0x4b, 0x79, 0xb1, 0x86, 0x30, 0xb4, 0x5e, 0x6a, 0xe8, 0x9d, 0xfa, 0x8a, 0x41, 0xc4, 0x30, 0xfc, 0x56, 0x74, 0x14, 0x42, 0xc8, 0x96, 0x0e,
|
||||
/* (2^126)P */ 0xdf, 0x66, 0xec, 0xbc, 0x44, 0xdb, 0x19, 0xce, 0xd4, 0xb5, 0x49, 0x40, 0x07, 0x49, 0xe0, 0x3a, 0x61, 0x10, 0xfb, 0x7d, 0xba, 0xb1, 0xe0, 0x28, 0x5b, 0x99, 0x59, 0x96, 0xa2, 0xee, 0xe0, 0x23, 0x37, 0x39, 0x1f, 0xe6, 0x57, 0x9f, 0xf8, 0xf8, 0xdc, 0x74, 0xf6, 0x8f, 0x4f, 0x5e, 0x51, 0xa4, 0x12, 0xac, 0xbe, 0xe4, 0xf3, 0xd1, 0xf0, 0x24,
|
||||
/* (2^127)P */ 0x1e, 0x3e, 0x9a, 0x5f, 0xdf, 0x9f, 0xd6, 0x4e, 0x8a, 0x28, 0xc3, 0xcd, 0x96, 0x9d, 0x57, 0xc7, 0x61, 0x81, 0x90, 0xff, 0xae, 0xb1, 0x4f, 0xc2, 0x96, 0x8b, 0x1a, 0x18, 0xf4, 0x50, 0xcb, 0x31, 0xe1, 0x57, 0xf4, 0x90, 0xa8, 0xea, 0xac, 0xe7, 0x61, 0x98, 0xb6, 0x15, 0xc1, 0x7b, 0x29, 0xa4, 0xc3, 0x18, 0xef, 0xb9, 0xd8, 0xdf, 0xf6, 0xac,
|
||||
/* (2^128)P */ 0xca, 0xa8, 0x6c, 0xf1, 0xb4, 0xca, 0xfe, 0x31, 0xee, 0x48, 0x38, 0x8b, 0x0e, 0xbb, 0x7a, 0x30, 0xaa, 0xf9, 0xee, 0x27, 0x53, 0x24, 0xdc, 0x2e, 0x15, 0xa6, 0x48, 0x8f, 0xa0, 0x7e, 0xf1, 0xdc, 0x93, 0x87, 0x39, 0xeb, 0x7f, 0x38, 0x92, 0x92, 0x4c, 0x29, 0xe9, 0x57, 0xd8, 0x59, 0xfc, 0xe9, 0x9c, 0x44, 0xc0, 0x65, 0xcf, 0xac, 0x4b, 0xdc,
|
||||
/* (2^129)P */ 0xa3, 0xd0, 0x37, 0x8f, 0x86, 0x2f, 0xc6, 0x47, 0x55, 0x46, 0x65, 0x26, 0x4b, 0x91, 0xe2, 0x18, 0x5c, 0x4f, 0x23, 0xc1, 0x37, 0x29, 0xb9, 0xc1, 0x27, 0xc5, 0x3c, 0xbf, 0x7e, 0x23, 0xdb, 0x73, 0x99, 0xbd, 0x1b, 0xb2, 0x31, 0x68, 0x3a, 0xad, 0xb7, 0xb0, 0x10, 0xc5, 0xe5, 0x11, 0x51, 0xba, 0xa7, 0x60, 0x66, 0x54, 0xf0, 0x08, 0xd7, 0x69,
|
||||
/* (2^130)P */ 0x89, 0x41, 0x79, 0xcc, 0xeb, 0x0a, 0xf5, 0x4b, 0xa3, 0x4c, 0xce, 0x52, 0xb0, 0xa7, 0xe4, 0x41, 0x75, 0x7d, 0x04, 0xbb, 0x09, 0x4c, 0x50, 0x9f, 0xdf, 0xea, 0x74, 0x61, 0x02, 0xad, 0xb4, 0x9d, 0xb7, 0x05, 0xb9, 0xea, 0xeb, 0x91, 0x35, 0xe7, 0x49, 0xea, 0xd3, 0x4f, 0x3c, 0x60, 0x21, 0x7a, 0xde, 0xc7, 0xe2, 0x5a, 0xee, 0x8e, 0x93, 0xc7,
|
||||
/* (2^131)P */ 0x00, 0xe8, 0xed, 0xd0, 0xb3, 0x0d, 0xaf, 0xb2, 0xde, 0x2c, 0xf6, 0x00, 0xe2, 0xea, 0x6d, 0xf8, 0x0e, 0xd9, 0x67, 0x59, 0xa9, 0x50, 0xbb, 0x17, 0x8f, 0xff, 0xb1, 0x9f, 0x17, 0xb6, 0xf2, 0xb5, 0xba, 0x80, 0xf7, 0x0f, 0xba, 0xd5, 0x09, 0x43, 0xaa, 0x4e, 0x3a, 0x67, 0x6a, 0x89, 0x9b, 0x18, 0x65, 0x35, 0xf8, 0x3a, 0x49, 0x91, 0x30, 0x51,
|
||||
/* (2^132)P */ 0x8d, 0x25, 0xe9, 0x0e, 0x7d, 0x50, 0x76, 0xe4, 0x58, 0x7e, 0xb9, 0x33, 0xe6, 0x65, 0x90, 0xc2, 0x50, 0x9d, 0x50, 0x2e, 0x11, 0xad, 0xd5, 0x43, 0x52, 0x32, 0x41, 0x4f, 0x7b, 0xb6, 0xa0, 0xec, 0x81, 0x75, 0x36, 0x7c, 0x77, 0x85, 0x59, 0x70, 0xe4, 0xf9, 0xef, 0x66, 0x8d, 0x35, 0xc8, 0x2a, 0x6e, 0x5b, 0xc6, 0x0d, 0x0b, 0x29, 0x60, 0x68,
|
||||
/* (2^133)P */ 0xf8, 0xce, 0xb0, 0x3a, 0x56, 0x7d, 0x51, 0x9a, 0x25, 0x73, 0xea, 0xdd, 0xe4, 0xe0, 0x0e, 0xf0, 0x07, 0xc0, 0x31, 0x00, 0x73, 0x35, 0xd0, 0x39, 0xc4, 0x9b, 0xb7, 0x95, 0xe0, 0x62, 0x70, 0x36, 0x0b, 0xcb, 0xa0, 0x42, 0xde, 0x51, 0xcf, 0x41, 0xe0, 0xb8, 0xb4, 0xc0, 0xe5, 0x46, 0x99, 0x9f, 0x02, 0x7f, 0x14, 0x8c, 0xc1, 0x4e, 0xef, 0xe8,
|
||||
/* (2^134)P */ 0x10, 0x01, 0x57, 0x0a, 0xbe, 0x8b, 0x18, 0xc8, 0xca, 0x00, 0x28, 0x77, 0x4a, 0x9a, 0xc7, 0x55, 0x2a, 0xcc, 0x0c, 0x7b, 0xb9, 0xe9, 0xc8, 0x97, 0x7c, 0x02, 0xe3, 0x09, 0x2f, 0x62, 0x30, 0xb8, 0x40, 0x09, 0x65, 0xe9, 0x55, 0x63, 0xb5, 0x07, 0xca, 0x9f, 0x00, 0xdf, 0x9d, 0x5c, 0xc7, 0xee, 0x57, 0xa5, 0x90, 0x15, 0x1e, 0x22, 0xa0, 0x12,
|
||||
/* (2^135)P */ 0x71, 0x2d, 0xc9, 0xef, 0x27, 0xb9, 0xd8, 0x12, 0x43, 0x6b, 0xa8, 0xce, 0x3b, 0x6d, 0x6e, 0x91, 0x43, 0x23, 0xbc, 0x32, 0xb3, 0xbf, 0xe1, 0xc7, 0x39, 0xcf, 0x7c, 0x42, 0x4c, 0xb1, 0x30, 0xe2, 0xdd, 0x69, 0x06, 0xe5, 0xea, 0xf0, 0x2a, 0x16, 0x50, 0x71, 0xca, 0x92, 0xdf, 0xc1, 0xcc, 0xec, 0xe6, 0x54, 0x07, 0xf3, 0x18, 0x8d, 0xd8, 0x29,
|
||||
/* (2^136)P */ 0x98, 0x51, 0x48, 0x8f, 0xfa, 0x2e, 0x5e, 0x67, 0xb0, 0xc6, 0x17, 0x12, 0xb6, 0x7d, 0xc9, 0xad, 0x81, 0x11, 0xad, 0x0c, 0x1c, 0x2d, 0x45, 0xdf, 0xac, 0x66, 0xbd, 0x08, 0x6f, 0x7c, 0xc7, 0x06, 0x6e, 0x19, 0x08, 0x39, 0x64, 0xd7, 0xe4, 0xd1, 0x11, 0x5f, 0x1c, 0xf4, 0x67, 0xc3, 0x88, 0x6a, 0xe6, 0x07, 0xa3, 0x83, 0xd7, 0xfd, 0x2a, 0xf9,
|
||||
/* (2^137)P */ 0x87, 0xed, 0xeb, 0xd9, 0xdf, 0xff, 0x43, 0x8b, 0xaa, 0x20, 0x58, 0xb0, 0xb4, 0x6b, 0x14, 0xb8, 0x02, 0xc5, 0x40, 0x20, 0x22, 0xbb, 0xf7, 0xb4, 0xf3, 0x05, 0x1e, 0x4d, 0x94, 0xff, 0xe3, 0xc5, 0x22, 0x82, 0xfe, 0xaf, 0x90, 0x42, 0x98, 0x6b, 0x76, 0x8b, 0x3e, 0x89, 0x3f, 0x42, 0x2a, 0xa7, 0x26, 0x00, 0xda, 0x5c, 0xa2, 0x2b, 0xec, 0xdd,
|
||||
/* (2^138)P */ 0x5c, 0x21, 0x16, 0x0d, 0x46, 0xb8, 0xd0, 0xa7, 0x88, 0xe7, 0x25, 0xcb, 0x3e, 0x50, 0x73, 0x61, 0xe7, 0xaf, 0x5a, 0x3f, 0x47, 0x8b, 0x3d, 0x97, 0x79, 0x2c, 0xe6, 0x6d, 0x95, 0x74, 0x65, 0x70, 0x36, 0xfd, 0xd1, 0x9e, 0x13, 0x18, 0x63, 0xb1, 0x2d, 0x0b, 0xb5, 0x36, 0x3e, 0xe7, 0x35, 0x42, 0x3b, 0xe6, 0x1f, 0x4d, 0x9d, 0x59, 0xa2, 0x43,
|
||||
/* (2^139)P */ 0x8c, 0x0c, 0x7c, 0x24, 0x9e, 0xe0, 0xf8, 0x05, 0x1c, 0x9e, 0x1f, 0x31, 0xc0, 0x70, 0xb3, 0xfb, 0x4e, 0xf8, 0x0a, 0x57, 0xb7, 0x49, 0xb5, 0x73, 0xa1, 0x5f, 0x9b, 0x6a, 0x07, 0x6c, 0x87, 0x71, 0x87, 0xd4, 0xbe, 0x98, 0x1e, 0x98, 0xee, 0x52, 0xc1, 0x7b, 0x95, 0x0f, 0x28, 0x32, 0x36, 0x28, 0xd0, 0x3a, 0x0f, 0x7d, 0x2a, 0xa9, 0x62, 0xb9,
|
||||
/* (2^140)P */ 0x97, 0xe6, 0x18, 0x77, 0xf9, 0x34, 0xac, 0xbc, 0xe0, 0x62, 0x9f, 0x42, 0xde, 0xbd, 0x2f, 0xf7, 0x1f, 0xb7, 0x14, 0x52, 0x8a, 0x79, 0xb2, 0x3f, 0xd2, 0x95, 0x71, 0x01, 0xe8, 0xaf, 0x8c, 0xa4, 0xa4, 0xa7, 0x27, 0xf3, 0x5c, 0xdf, 0x3e, 0x57, 0x7a, 0xf1, 0x76, 0x49, 0xe6, 0x42, 0x3f, 0x8f, 0x1e, 0x63, 0x4a, 0x65, 0xb5, 0x41, 0xf5, 0x02,
|
||||
/* (2^141)P */ 0x72, 0x85, 0xc5, 0x0b, 0xe1, 0x47, 0x64, 0x02, 0xc5, 0x4d, 0x81, 0x69, 0xb2, 0xcf, 0x0f, 0x6c, 0xd4, 0x6d, 0xd0, 0xc7, 0xb4, 0x1c, 0xd0, 0x32, 0x59, 0x89, 0xe2, 0xe0, 0x96, 0x8b, 0x12, 0x98, 0xbf, 0x63, 0x7a, 0x4c, 0x76, 0x7e, 0x58, 0x17, 0x8f, 0x5b, 0x0a, 0x59, 0x65, 0x75, 0xbc, 0x61, 0x1f, 0xbe, 0xc5, 0x6e, 0x0a, 0x57, 0x52, 0x70,
|
||||
/* (2^142)P */ 0x92, 0x1c, 0x77, 0xbb, 0x62, 0x02, 0x6c, 0x25, 0x9c, 0x66, 0x07, 0x83, 0xab, 0xcc, 0x80, 0x5d, 0xd2, 0x76, 0x0c, 0xa4, 0xc5, 0xb4, 0x8a, 0x68, 0x23, 0x31, 0x32, 0x29, 0x8a, 0x47, 0x92, 0x12, 0x80, 0xb3, 0xfa, 0x18, 0xe4, 0x8d, 0xc0, 0x4d, 0xfe, 0x97, 0x5f, 0x72, 0x41, 0xb5, 0x5c, 0x7a, 0xbd, 0xf0, 0xcf, 0x5e, 0x97, 0xaa, 0x64, 0x32,
|
||||
/* (2^143)P */ 0x35, 0x3f, 0x75, 0xc1, 0x7a, 0x75, 0x7e, 0xa9, 0xc6, 0x0b, 0x4e, 0x32, 0x62, 0xec, 0xe3, 0x5c, 0xfb, 0x01, 0x43, 0xb6, 0xd4, 0x5b, 0x75, 0xd2, 0xee, 0x7f, 0x5d, 0x23, 0x2b, 0xb3, 0x54, 0x34, 0x4c, 0xd3, 0xb4, 0x32, 0x84, 0x81, 0xb5, 0x09, 0x76, 0x19, 0xda, 0x58, 0xda, 0x7c, 0xdb, 0x2e, 0xdd, 0x4c, 0x8e, 0xdd, 0x5d, 0x89, 0x10, 0x10,
|
||||
/* (2^144)P */ 0x57, 0x25, 0x6a, 0x08, 0x37, 0x92, 0xa8, 0xdf, 0x24, 0xef, 0x8f, 0x33, 0x34, 0x52, 0xa4, 0x4c, 0xf0, 0x77, 0x9f, 0x69, 0x77, 0xd5, 0x8f, 0xd2, 0x9a, 0xb3, 0xb6, 0x1d, 0x2d, 0xa6, 0xf7, 0x1f, 0xda, 0xd7, 0xcb, 0x75, 0x11, 0xc3, 0x6b, 0xc0, 0x38, 0xb1, 0xd5, 0x2d, 0x96, 0x84, 0x16, 0xfa, 0x26, 0xb9, 0xcc, 0x3f, 0x16, 0x47, 0x23, 0x74,
|
||||
/* (2^145)P */ 0x9b, 0x61, 0x2a, 0x1c, 0xdd, 0x39, 0xa5, 0xfa, 0x1c, 0x7d, 0x63, 0x50, 0xca, 0xe6, 0x9d, 0xfa, 0xb7, 0xc4, 0x4c, 0x6a, 0x97, 0x5f, 0x36, 0x4e, 0x47, 0xdd, 0x17, 0xf7, 0xf9, 0x19, 0xce, 0x75, 0x17, 0xad, 0xce, 0x2a, 0xf3, 0xfe, 0x27, 0x8f, 0x3e, 0x48, 0xc0, 0x60, 0x87, 0x24, 0x19, 0xae, 0x59, 0xe4, 0x5a, 0x00, 0x2a, 0xba, 0xa2, 0x1f,
|
||||
/* (2^146)P */ 0x26, 0x88, 0x42, 0x60, 0x9f, 0x6e, 0x2c, 0x7c, 0x39, 0x0f, 0x47, 0x6a, 0x0e, 0x02, 0xbb, 0x4b, 0x34, 0x29, 0x55, 0x18, 0x36, 0xcf, 0x3b, 0x47, 0xf1, 0x2e, 0xfc, 0x6e, 0x94, 0xff, 0xe8, 0x6b, 0x06, 0xd2, 0xba, 0x77, 0x5e, 0x60, 0xd7, 0x19, 0xef, 0x02, 0x9d, 0x3a, 0xc2, 0xb7, 0xa9, 0xd8, 0x57, 0xee, 0x7e, 0x2b, 0xf2, 0x6d, 0x28, 0xda,
|
||||
/* (2^147)P */ 0xdf, 0xd9, 0x92, 0x11, 0x98, 0x23, 0xe2, 0x45, 0x2f, 0x74, 0x70, 0xee, 0x0e, 0x55, 0x65, 0x79, 0x86, 0x38, 0x17, 0x92, 0x85, 0x87, 0x99, 0x50, 0xd9, 0x7c, 0xdb, 0xa1, 0x10, 0xec, 0x30, 0xb7, 0x40, 0xa3, 0x23, 0x9b, 0x0e, 0x27, 0x49, 0x29, 0x03, 0x94, 0xff, 0x53, 0xdc, 0xd7, 0xed, 0x49, 0xa9, 0x5a, 0x3b, 0xee, 0xd7, 0xc7, 0x65, 0xaf,
|
||||
/* (2^148)P */ 0xa0, 0xbd, 0xbe, 0x03, 0xee, 0x0c, 0xbe, 0x32, 0x00, 0x7b, 0x52, 0xcb, 0x92, 0x29, 0xbf, 0xa0, 0xc6, 0xd9, 0xd2, 0xd6, 0x15, 0xe8, 0x3a, 0x75, 0x61, 0x65, 0x56, 0xae, 0xad, 0x3c, 0x2a, 0x64, 0x14, 0x3f, 0x8e, 0xc1, 0x2d, 0x0c, 0x8d, 0x20, 0xdb, 0x58, 0x4b, 0xe5, 0x40, 0x15, 0x4b, 0xdc, 0xa8, 0xbd, 0xef, 0x08, 0xa7, 0xd1, 0xf4, 0xb0,
|
||||
/* (2^149)P */ 0xa9, 0x0f, 0x05, 0x94, 0x66, 0xac, 0x1f, 0x65, 0x3f, 0xe1, 0xb8, 0xe1, 0x34, 0x5e, 0x1d, 0x8f, 0xe3, 0x93, 0x03, 0x15, 0xff, 0xb6, 0x65, 0xb6, 0x6e, 0xc0, 0x2f, 0xd4, 0x2e, 0xb9, 0x2c, 0x13, 0x3c, 0x99, 0x1c, 0xb5, 0x87, 0xba, 0x79, 0xcb, 0xf0, 0x18, 0x06, 0x86, 0x04, 0x14, 0x25, 0x09, 0xcd, 0x1c, 0x14, 0xda, 0x35, 0xd0, 0x38, 0x3b,
|
||||
/* (2^150)P */ 0x1b, 0x04, 0xa3, 0x27, 0xb4, 0xd3, 0x37, 0x48, 0x1e, 0x8f, 0x69, 0xd3, 0x5a, 0x2f, 0x20, 0x02, 0x36, 0xbe, 0x06, 0x7b, 0x6b, 0x6c, 0x12, 0x5b, 0x80, 0x74, 0x44, 0xe6, 0xf8, 0xf5, 0x95, 0x59, 0x29, 0xab, 0x51, 0x47, 0x83, 0x28, 0xe0, 0xad, 0xde, 0xaa, 0xd3, 0xb1, 0x1a, 0xcb, 0xa3, 0xcd, 0x8b, 0x6a, 0xb1, 0xa7, 0x0a, 0xd1, 0xf9, 0xbe,
|
||||
/* (2^151)P */ 0xce, 0x2f, 0x85, 0xca, 0x74, 0x6d, 0x49, 0xb8, 0xce, 0x80, 0x44, 0xe0, 0xda, 0x5b, 0xcf, 0x2f, 0x79, 0x74, 0xfe, 0xb4, 0x2c, 0x99, 0x20, 0x6e, 0x09, 0x04, 0xfb, 0x6d, 0x57, 0x5b, 0x95, 0x0c, 0x45, 0xda, 0x4f, 0x7f, 0x63, 0xcc, 0x85, 0x5a, 0x67, 0x50, 0x68, 0x71, 0xb4, 0x67, 0xb1, 0x2e, 0xc1, 0x1c, 0xdc, 0xff, 0x2a, 0x7c, 0x10, 0x5e,
|
||||
/* (2^152)P */ 0xa6, 0xde, 0xf3, 0xd4, 0x22, 0x30, 0x24, 0x9e, 0x0b, 0x30, 0x54, 0x59, 0x7e, 0xa2, 0xeb, 0x89, 0x54, 0x65, 0x3e, 0x40, 0xd1, 0xde, 0xe6, 0xee, 0x4d, 0xbf, 0x5e, 0x40, 0x1d, 0xee, 0x4f, 0x68, 0xd9, 0xa7, 0x2f, 0xb3, 0x64, 0xb3, 0xf5, 0xc8, 0xd3, 0xaa, 0x70, 0x70, 0x3d, 0xef, 0xd3, 0x95, 0x54, 0xdb, 0x3e, 0x94, 0x95, 0x92, 0x1f, 0x45,
|
||||
/* (2^153)P */ 0x22, 0x80, 0x1d, 0x9d, 0x96, 0xa5, 0x78, 0x6f, 0xe0, 0x1e, 0x1b, 0x66, 0x42, 0xc8, 0xae, 0x9e, 0x46, 0x45, 0x08, 0x41, 0xdf, 0x80, 0xae, 0x6f, 0xdb, 0x15, 0x5a, 0x21, 0x31, 0x7a, 0xd0, 0xf2, 0x54, 0x15, 0x88, 0xd3, 0x0f, 0x7f, 0x14, 0x5a, 0x14, 0x97, 0xab, 0xf4, 0x58, 0x6a, 0x9f, 0xea, 0x74, 0xe5, 0x6b, 0x90, 0x59, 0x2b, 0x48, 0xd9,
|
||||
/* (2^154)P */ 0x12, 0x24, 0x04, 0xf5, 0x50, 0xc2, 0x8c, 0xb0, 0x7c, 0x46, 0x98, 0xd5, 0x24, 0xad, 0xf6, 0x72, 0xdc, 0x82, 0x1a, 0x60, 0xc1, 0xeb, 0x48, 0xef, 0x7f, 0x6e, 0xe6, 0xcc, 0xdb, 0x7b, 0xae, 0xbe, 0x5e, 0x1e, 0x5c, 0xe6, 0x0a, 0x70, 0xdf, 0xa4, 0xa3, 0x85, 0x1b, 0x1b, 0x7f, 0x72, 0xb9, 0x96, 0x6f, 0xdc, 0x03, 0x76, 0x66, 0xfb, 0xa0, 0x33,
|
||||
/* (2^155)P */ 0x37, 0x40, 0xbb, 0xbc, 0x68, 0x58, 0x86, 0xca, 0xbb, 0xa5, 0x24, 0x76, 0x3d, 0x48, 0xd1, 0xad, 0xb4, 0xa8, 0xcf, 0xc3, 0xb6, 0xa8, 0xba, 0x1a, 0x3a, 0xbe, 0x33, 0x75, 0x04, 0x5c, 0x13, 0x8c, 0x0d, 0x70, 0x8d, 0xa6, 0x4e, 0x2a, 0xeb, 0x17, 0x3c, 0x22, 0xdd, 0x3e, 0x96, 0x40, 0x11, 0x9e, 0x4e, 0xae, 0x3d, 0xf8, 0x91, 0xd7, 0x50, 0xc8,
|
||||
/* (2^156)P */ 0xd8, 0xca, 0xde, 0x19, 0xcf, 0x00, 0xe4, 0x73, 0x18, 0x7f, 0x9b, 0x9f, 0xf4, 0x5b, 0x49, 0x49, 0x99, 0xdc, 0xa4, 0x46, 0x21, 0xb5, 0xd7, 0x3e, 0xb7, 0x47, 0x1b, 0xa9, 0x9f, 0x4c, 0x69, 0x7d, 0xec, 0x33, 0xd6, 0x1c, 0x51, 0x7f, 0x47, 0x74, 0x7a, 0x6c, 0xf3, 0xd2, 0x2e, 0xbf, 0xdf, 0x6c, 0x9e, 0x77, 0x3b, 0x34, 0xf6, 0x73, 0x80, 0xed,
|
||||
/* (2^157)P */ 0x16, 0xfb, 0x16, 0xc3, 0xc2, 0x83, 0xe4, 0xf4, 0x03, 0x7f, 0x52, 0xb0, 0x67, 0x51, 0x7b, 0x24, 0x5a, 0x51, 0xd3, 0xb6, 0x4e, 0x59, 0x76, 0xcd, 0x08, 0x7b, 0x1d, 0x7a, 0x9c, 0x65, 0xae, 0xce, 0xaa, 0xd2, 0x1c, 0x85, 0x66, 0x68, 0x06, 0x15, 0xa8, 0x06, 0xe6, 0x16, 0x37, 0xf4, 0x49, 0x9e, 0x0f, 0x50, 0x37, 0xb1, 0xb2, 0x93, 0x70, 0x43,
|
||||
/* (2^158)P */ 0x18, 0x3a, 0x16, 0xe5, 0x8d, 0xc8, 0x35, 0xd6, 0x7b, 0x09, 0xec, 0x61, 0x5f, 0x5c, 0x2a, 0x19, 0x96, 0x2e, 0xc3, 0xfd, 0xab, 0xe6, 0x23, 0xae, 0xab, 0xc5, 0xcb, 0xb9, 0x7b, 0x2d, 0x34, 0x51, 0xb9, 0x41, 0x9e, 0x7d, 0xca, 0xda, 0x25, 0x45, 0x14, 0xb0, 0xc7, 0x4d, 0x26, 0x2b, 0xfe, 0x43, 0xb0, 0x21, 0x5e, 0xfa, 0xdc, 0x7c, 0xf9, 0x5a,
|
||||
/* (2^159)P */ 0x94, 0xad, 0x42, 0x17, 0xf5, 0xcd, 0x1c, 0x0d, 0xf6, 0x41, 0xd2, 0x55, 0xbb, 0x50, 0xf1, 0xc6, 0xbc, 0xa6, 0xc5, 0x3a, 0xfd, 0x9b, 0x75, 0x3e, 0xf6, 0x1a, 0xa7, 0xb2, 0x6e, 0x64, 0x12, 0xdc, 0x3c, 0xe5, 0xf6, 0xfc, 0x3b, 0xfa, 0x43, 0x81, 0xd4, 0xa5, 0xee, 0xf5, 0x9c, 0x47, 0x2f, 0xd0, 0x9c, 0xde, 0xa1, 0x48, 0x91, 0x9a, 0x34, 0xc1,
|
||||
/* (2^160)P */ 0x37, 0x1b, 0xb3, 0x88, 0xc9, 0x98, 0x4e, 0xfb, 0x84, 0x4f, 0x2b, 0x0a, 0xb6, 0x8f, 0x35, 0x15, 0xcd, 0x61, 0x7a, 0x5f, 0x5c, 0xa0, 0xca, 0x23, 0xa0, 0x93, 0x1f, 0xcc, 0x3c, 0x39, 0x3a, 0x24, 0xa7, 0x49, 0xad, 0x8d, 0x59, 0xcc, 0x94, 0x5a, 0x16, 0xf5, 0x70, 0xe8, 0x52, 0x1e, 0xee, 0x20, 0x30, 0x17, 0x7e, 0xf0, 0x4c, 0x93, 0x06, 0x5a,
|
||||
/* (2^161)P */ 0x81, 0xba, 0x3b, 0xd7, 0x3e, 0xb4, 0x32, 0x3a, 0x22, 0x39, 0x2a, 0xfc, 0x19, 0xd9, 0xd2, 0xf6, 0xc5, 0x79, 0x6c, 0x0e, 0xde, 0xda, 0x01, 0xff, 0x52, 0xfb, 0xb6, 0x95, 0x4e, 0x7a, 0x10, 0xb8, 0x06, 0x86, 0x3c, 0xcd, 0x56, 0xd6, 0x15, 0xbf, 0x6e, 0x3e, 0x4f, 0x35, 0x5e, 0xca, 0xbc, 0xa5, 0x95, 0xa2, 0xdf, 0x2d, 0x1d, 0xaf, 0x59, 0xf9,
|
||||
/* (2^162)P */ 0x69, 0xe5, 0xe2, 0xfa, 0xc9, 0x7f, 0xdd, 0x09, 0xf5, 0x6b, 0x4e, 0x2e, 0xbe, 0xb4, 0xbf, 0x3e, 0xb2, 0xf2, 0x81, 0x30, 0xe1, 0x07, 0xa8, 0x0d, 0x2b, 0xd2, 0x5a, 0x55, 0xbe, 0x4b, 0x86, 0x5d, 0xb0, 0x5e, 0x7c, 0x8f, 0xc1, 0x3c, 0x81, 0x4c, 0xf7, 0x6d, 0x7d, 0xe6, 0x4f, 0x8a, 0x85, 0xc2, 0x2f, 0x28, 0xef, 0x8c, 0x69, 0xc2, 0xc2, 0x1a,
|
||||
/* (2^163)P */ 0xd9, 0xe4, 0x0e, 0x1e, 0xc2, 0xf7, 0x2f, 0x9f, 0xa1, 0x40, 0xfe, 0x46, 0x16, 0xaf, 0x2e, 0xd1, 0xec, 0x15, 0x9b, 0x61, 0x92, 0xce, 0xfc, 0x10, 0x43, 0x1d, 0x00, 0xf6, 0xbe, 0x20, 0x80, 0x80, 0x6f, 0x3c, 0x16, 0x94, 0x59, 0xba, 0x03, 0x53, 0x6e, 0xb6, 0xdd, 0x25, 0x7b, 0x86, 0xbf, 0x96, 0xf4, 0x2f, 0xa1, 0x96, 0x8d, 0xf9, 0xb3, 0x29,
|
||||
/* (2^164)P */ 0x3b, 0x04, 0x60, 0x6e, 0xce, 0xab, 0xd2, 0x63, 0x18, 0x53, 0x88, 0x16, 0x4a, 0x6a, 0xab, 0x72, 0x03, 0x68, 0xa5, 0xd4, 0x0d, 0xb2, 0x82, 0x81, 0x1f, 0x2b, 0x5c, 0x75, 0xe8, 0xd2, 0x1d, 0x7f, 0xe7, 0x1b, 0x35, 0x02, 0xde, 0xec, 0xbd, 0xcb, 0xc7, 0x01, 0xd3, 0x95, 0x61, 0xfe, 0xb2, 0x7a, 0x66, 0x09, 0x4c, 0x6d, 0xfd, 0x39, 0xf7, 0x52,
|
||||
/* (2^165)P */ 0x42, 0xc1, 0x5f, 0xf8, 0x35, 0x52, 0xc1, 0xfe, 0xc5, 0x11, 0x80, 0x1c, 0x11, 0x46, 0x31, 0x11, 0xbe, 0xd0, 0xc4, 0xb6, 0x07, 0x13, 0x38, 0xa0, 0x8d, 0x65, 0xf0, 0x56, 0x9e, 0x16, 0xbf, 0x9d, 0xcd, 0x51, 0x34, 0xf9, 0x08, 0x48, 0x7b, 0x76, 0x0c, 0x7b, 0x30, 0x07, 0xa8, 0x76, 0xaf, 0xa3, 0x29, 0x38, 0xb0, 0x58, 0xde, 0x72, 0x4b, 0x45,
|
||||
/* (2^166)P */ 0xd4, 0x16, 0xa7, 0xc0, 0xb4, 0x9f, 0xdf, 0x1a, 0x37, 0xc8, 0x35, 0xed, 0xc5, 0x85, 0x74, 0x64, 0x09, 0x22, 0xef, 0xe9, 0x0c, 0xaf, 0x12, 0x4c, 0x9e, 0xf8, 0x47, 0x56, 0xe0, 0x7f, 0x4e, 0x24, 0x6b, 0x0c, 0xe7, 0xad, 0xc6, 0x47, 0x1d, 0xa4, 0x0d, 0x86, 0x89, 0x65, 0xe8, 0x5f, 0x71, 0xc7, 0xe9, 0xcd, 0xec, 0x6c, 0x62, 0xc7, 0xe3, 0xb3,
|
||||
/* (2^167)P */ 0xb5, 0xea, 0x86, 0xe3, 0x15, 0x18, 0x3f, 0x6d, 0x7b, 0x05, 0x95, 0x15, 0x53, 0x26, 0x1c, 0xeb, 0xbe, 0x7e, 0x16, 0x42, 0x4b, 0xa2, 0x3d, 0xdd, 0x0e, 0xff, 0xba, 0x67, 0xb5, 0xae, 0x7a, 0x17, 0xde, 0x23, 0xad, 0x14, 0xcc, 0xd7, 0xaf, 0x57, 0x01, 0xe0, 0xdd, 0x48, 0xdd, 0xd7, 0xe3, 0xdf, 0xe9, 0x2d, 0xda, 0x67, 0xa4, 0x9f, 0x29, 0x04,
|
||||
/* (2^168)P */ 0x16, 0x53, 0xe6, 0x9c, 0x4e, 0xe5, 0x1e, 0x70, 0x81, 0x25, 0x02, 0x9b, 0x47, 0x6d, 0xd2, 0x08, 0x73, 0xbe, 0x0a, 0xf1, 0x7b, 0xeb, 0x24, 0xeb, 0x38, 0x23, 0x5c, 0xb6, 0x3e, 0xce, 0x1e, 0xe3, 0xbc, 0x82, 0x35, 0x1f, 0xaf, 0x3a, 0x3a, 0xe5, 0x4e, 0xc1, 0xca, 0xbf, 0x47, 0xb4, 0xbb, 0xbc, 0x5f, 0xea, 0xc6, 0xca, 0xf3, 0xa0, 0xa2, 0x73,
|
||||
/* (2^169)P */ 0xef, 0xa4, 0x7a, 0x4e, 0xe4, 0xc7, 0xb6, 0x43, 0x2e, 0xa5, 0xe4, 0xa5, 0xba, 0x1e, 0xa5, 0xfe, 0x9e, 0xce, 0xa9, 0x80, 0x04, 0xcb, 0x4f, 0xd8, 0x74, 0x05, 0x48, 0xfa, 0x99, 0x11, 0x5d, 0x97, 0x3b, 0x07, 0x0d, 0xdd, 0xe6, 0xb1, 0x74, 0x87, 0x1a, 0xd3, 0x26, 0xb7, 0x8f, 0xe1, 0x63, 0x3d, 0xec, 0x53, 0x93, 0xb0, 0x81, 0x78, 0x34, 0xa4,
|
||||
/* (2^170)P */ 0xe1, 0xe7, 0xd4, 0x58, 0x9d, 0x0e, 0x8b, 0x65, 0x66, 0x37, 0x16, 0x48, 0x6f, 0xaa, 0x42, 0x37, 0x77, 0xad, 0xb1, 0x56, 0x48, 0xdf, 0x65, 0x36, 0x30, 0xb8, 0x00, 0x12, 0xd8, 0x32, 0x28, 0x7f, 0xc1, 0x71, 0xeb, 0x93, 0x0f, 0x48, 0x04, 0xe1, 0x5a, 0x6a, 0x96, 0xc1, 0xca, 0x89, 0x6d, 0x1b, 0x82, 0x4c, 0x18, 0x6d, 0x55, 0x4b, 0xea, 0xfd,
|
||||
/* (2^171)P */ 0x62, 0x1a, 0x53, 0xb4, 0xb1, 0xbe, 0x6f, 0x15, 0x18, 0x88, 0xd4, 0x66, 0x61, 0xc7, 0x12, 0x69, 0x02, 0xbd, 0x03, 0x23, 0x2b, 0xef, 0xf9, 0x54, 0xa4, 0x85, 0xa8, 0xe3, 0xb7, 0xbd, 0xa9, 0xa3, 0xf3, 0x2a, 0xdd, 0xf1, 0xd4, 0x03, 0x0f, 0xa9, 0xa1, 0xd8, 0xa3, 0xcd, 0xb2, 0x71, 0x90, 0x4b, 0x35, 0x62, 0xf2, 0x2f, 0xce, 0x67, 0x1f, 0xaa,
|
||||
/* (2^172)P */ 0x9e, 0x1e, 0xcd, 0x43, 0x7e, 0x87, 0x37, 0x94, 0x3a, 0x97, 0x4c, 0x7e, 0xee, 0xc9, 0x37, 0x85, 0xf1, 0xd9, 0x4f, 0xbf, 0xf9, 0x6f, 0x39, 0x9a, 0x39, 0x87, 0x2e, 0x25, 0x84, 0x42, 0xc3, 0x80, 0xcb, 0x07, 0x22, 0xae, 0x30, 0xd5, 0x50, 0xa1, 0x23, 0xcc, 0x31, 0x81, 0x9d, 0xf1, 0x30, 0xd9, 0x2b, 0x73, 0x41, 0x16, 0x50, 0xab, 0x2d, 0xa2,
|
||||
/* (2^173)P */ 0xa4, 0x69, 0x4f, 0xa1, 0x4e, 0xb9, 0xbf, 0x14, 0xe8, 0x2b, 0x04, 0x93, 0xb7, 0x6e, 0x9f, 0x7d, 0x73, 0x0a, 0xc5, 0x14, 0xb8, 0xde, 0x8c, 0xc1, 0xfe, 0xc0, 0xa7, 0xa4, 0xcc, 0x42, 0x42, 0x81, 0x15, 0x65, 0x8a, 0x80, 0xb9, 0xde, 0x1f, 0x60, 0x33, 0x0e, 0xcb, 0xfc, 0xe0, 0xdb, 0x83, 0xa1, 0xe5, 0xd0, 0x16, 0x86, 0x2c, 0xe2, 0x87, 0xed,
|
||||
/* (2^174)P */ 0x7a, 0xc0, 0xeb, 0x6b, 0xf6, 0x0d, 0x4c, 0x6d, 0x1e, 0xdb, 0xab, 0xe7, 0x19, 0x45, 0xc6, 0xe3, 0xb2, 0x06, 0xbb, 0xbc, 0x70, 0x99, 0x83, 0x33, 0xeb, 0x28, 0xc8, 0x77, 0xf6, 0x4d, 0x01, 0xb7, 0x59, 0xa0, 0xd2, 0xb3, 0x2a, 0x72, 0x30, 0xe7, 0x11, 0x39, 0xb6, 0x41, 0x29, 0x65, 0x5a, 0x14, 0xb9, 0x86, 0x08, 0xe0, 0x7d, 0x32, 0x8c, 0xf0,
|
||||
/* (2^175)P */ 0x5c, 0x11, 0x30, 0x9e, 0x05, 0x27, 0xf5, 0x45, 0x0f, 0xb3, 0xc9, 0x75, 0xc3, 0xd7, 0xe1, 0x82, 0x3b, 0x8e, 0x87, 0x23, 0x00, 0x15, 0x19, 0x07, 0xd9, 0x21, 0x53, 0xc7, 0xf1, 0xa3, 0xbf, 0x70, 0x64, 0x15, 0x18, 0xca, 0x23, 0x9e, 0xd3, 0x08, 0xc3, 0x2a, 0x8b, 0xe5, 0x83, 0x04, 0x89, 0x14, 0xfd, 0x28, 0x25, 0x1c, 0xe3, 0x26, 0xa7, 0x22,
|
||||
/* (2^176)P */ 0xdc, 0xd4, 0x75, 0x60, 0x99, 0x94, 0xea, 0x09, 0x8e, 0x8a, 0x3c, 0x1b, 0xf9, 0xbd, 0x33, 0x0d, 0x51, 0x3d, 0x12, 0x6f, 0x4e, 0x72, 0xe0, 0x17, 0x20, 0xe9, 0x75, 0xe6, 0x3a, 0xb2, 0x13, 0x83, 0x4e, 0x7a, 0x08, 0x9e, 0xd1, 0x04, 0x5f, 0x6b, 0x42, 0x0b, 0x76, 0x2a, 0x2d, 0x77, 0x53, 0x6c, 0x65, 0x6d, 0x8e, 0x25, 0x3c, 0xb6, 0x8b, 0x69,
|
||||
/* (2^177)P */ 0xb9, 0x49, 0x28, 0xd0, 0xdc, 0x6c, 0x8f, 0x4c, 0xc9, 0x14, 0x8a, 0x38, 0xa3, 0xcb, 0xc4, 0x9d, 0x53, 0xcf, 0xe9, 0xe3, 0xcf, 0xe0, 0xb1, 0xf2, 0x1b, 0x4c, 0x7f, 0x83, 0x2a, 0x7a, 0xe9, 0x8b, 0x3b, 0x86, 0x61, 0x30, 0xe9, 0x99, 0xbd, 0xba, 0x19, 0x6e, 0x65, 0x2a, 0x12, 0x3e, 0x9c, 0xa8, 0xaf, 0xc3, 0xcf, 0xf8, 0x1f, 0x77, 0x86, 0xea,
|
||||
/* (2^178)P */ 0x30, 0xde, 0xe7, 0xff, 0x54, 0xf7, 0xa2, 0x59, 0xf6, 0x0b, 0xfb, 0x7a, 0xf2, 0x39, 0xf0, 0xdb, 0x39, 0xbc, 0xf0, 0xfa, 0x60, 0xeb, 0x6b, 0x4f, 0x47, 0x17, 0xc8, 0x00, 0x65, 0x6d, 0x25, 0x1c, 0xd0, 0x48, 0x56, 0x53, 0x45, 0x11, 0x30, 0x02, 0x49, 0x20, 0x27, 0xac, 0xf2, 0x4c, 0xac, 0x64, 0x3d, 0x52, 0xb8, 0x89, 0xe0, 0x93, 0x16, 0x0f,
|
||||
/* (2^179)P */ 0x84, 0x09, 0xba, 0x40, 0xb2, 0x2f, 0xa3, 0xa8, 0xc2, 0xba, 0x46, 0x33, 0x05, 0x9d, 0x62, 0xad, 0xa1, 0x3c, 0x33, 0xef, 0x0d, 0xeb, 0xf0, 0x77, 0x11, 0x5a, 0xb0, 0x21, 0x9c, 0xdf, 0x55, 0x24, 0x25, 0x35, 0x51, 0x61, 0x92, 0xf0, 0xb1, 0xce, 0xf5, 0xd4, 0x7b, 0x6c, 0x21, 0x9d, 0x56, 0x52, 0xf8, 0xa1, 0x4c, 0xe9, 0x27, 0x55, 0xac, 0x91,
|
||||
/* (2^180)P */ 0x03, 0x3e, 0x30, 0xd2, 0x0a, 0xfa, 0x7d, 0x82, 0x3d, 0x1f, 0x8b, 0xcb, 0xb6, 0x04, 0x5c, 0xcc, 0x8b, 0xda, 0xe2, 0x68, 0x74, 0x08, 0x8c, 0x44, 0x83, 0x57, 0x6d, 0x6f, 0x80, 0xb0, 0x7e, 0xa9, 0x82, 0x91, 0x7b, 0x4c, 0x37, 0x97, 0xd1, 0x63, 0xd1, 0xbd, 0x45, 0xe6, 0x8a, 0x86, 0xd6, 0x89, 0x54, 0xfd, 0xd2, 0xb1, 0xd7, 0x54, 0xad, 0xaf,
|
||||
/* (2^181)P */ 0x8b, 0x33, 0x62, 0x49, 0x9f, 0x63, 0xf9, 0x87, 0x42, 0x58, 0xbf, 0xb3, 0xe6, 0x68, 0x02, 0x60, 0x5c, 0x76, 0x62, 0xf7, 0x61, 0xd7, 0x36, 0x31, 0xf7, 0x9c, 0xb5, 0xe5, 0x13, 0x6c, 0xea, 0x78, 0xae, 0xcf, 0xde, 0xbf, 0xb6, 0xeb, 0x4f, 0xc8, 0x2a, 0xb4, 0x9a, 0x9f, 0xf3, 0xd1, 0x6a, 0xec, 0x0c, 0xbd, 0x85, 0x98, 0x40, 0x06, 0x1c, 0x2a,
|
||||
/* (2^182)P */ 0x74, 0x3b, 0xe7, 0x81, 0xd5, 0xae, 0x54, 0x56, 0x03, 0xe8, 0x97, 0x16, 0x76, 0xcf, 0x24, 0x96, 0x96, 0x5b, 0xcc, 0x09, 0xab, 0x23, 0x6f, 0x54, 0xae, 0x8f, 0xe4, 0x12, 0xcb, 0xfd, 0xbc, 0xac, 0x93, 0x45, 0x3d, 0x68, 0x08, 0x22, 0x59, 0xc6, 0xf0, 0x47, 0x19, 0x8c, 0x79, 0x93, 0x1e, 0x0e, 0x30, 0xb0, 0x94, 0xfb, 0x17, 0x1d, 0x5a, 0x12,
|
||||
/* (2^183)P */ 0x85, 0xff, 0x40, 0x18, 0x85, 0xff, 0x44, 0x37, 0x69, 0x23, 0x4d, 0x34, 0xe1, 0xeb, 0xa3, 0x1b, 0x55, 0x40, 0xc1, 0x64, 0xf4, 0xd4, 0x13, 0x0a, 0x9f, 0xb9, 0x19, 0xfc, 0x88, 0x7d, 0xc0, 0x72, 0xcf, 0x69, 0x2f, 0xd2, 0x0c, 0x82, 0x0f, 0xda, 0x08, 0xba, 0x0f, 0xaa, 0x3b, 0xe9, 0xe5, 0x83, 0x7a, 0x06, 0xe8, 0x1b, 0x38, 0x43, 0xc3, 0x54,
|
||||
/* (2^184)P */ 0x14, 0xaa, 0xb3, 0x6e, 0xe6, 0x28, 0xee, 0xc5, 0x22, 0x6c, 0x7c, 0xf9, 0xa8, 0x71, 0xcc, 0xfe, 0x68, 0x7e, 0xd3, 0xb8, 0x37, 0x96, 0xca, 0x0b, 0xd9, 0xb6, 0x06, 0xa9, 0xf6, 0x71, 0xe8, 0x31, 0xf7, 0xd8, 0xf1, 0x5d, 0xab, 0xb9, 0xf0, 0x5c, 0x98, 0xcf, 0x22, 0xa2, 0x2a, 0xf6, 0xd0, 0x59, 0xf0, 0x9d, 0xd9, 0x6a, 0x4f, 0x59, 0x57, 0xad,
|
||||
/* (2^185)P */ 0xd7, 0x2b, 0x3d, 0x38, 0x4c, 0x2e, 0x23, 0x4d, 0x49, 0xa2, 0x62, 0x62, 0xf9, 0x0f, 0xde, 0x08, 0xf3, 0x86, 0x71, 0xb6, 0xc7, 0xf9, 0x85, 0x9c, 0x33, 0xa1, 0xcf, 0x16, 0xaa, 0x60, 0xb9, 0xb7, 0xea, 0xed, 0x01, 0x1c, 0x59, 0xdb, 0x3f, 0x3f, 0x97, 0x2e, 0xf0, 0x09, 0x9f, 0x10, 0x85, 0x5f, 0x53, 0x39, 0xf3, 0x13, 0x40, 0x56, 0x95, 0xf9,
|
||||
/* (2^186)P */ 0xb4, 0xe3, 0xda, 0xc6, 0x1f, 0x78, 0x8e, 0xac, 0xd4, 0x20, 0x1d, 0xa0, 0xbf, 0x4c, 0x09, 0x16, 0xa7, 0x30, 0xb5, 0x8d, 0x9e, 0xa1, 0x5f, 0x6d, 0x52, 0xf4, 0x71, 0xb6, 0x32, 0x2d, 0x21, 0x51, 0xc6, 0xfc, 0x2f, 0x08, 0xf4, 0x13, 0x6c, 0x55, 0xba, 0x72, 0x81, 0x24, 0x49, 0x0e, 0x4f, 0x06, 0x36, 0x39, 0x6a, 0xc5, 0x81, 0xfc, 0xeb, 0xb2,
|
||||
/* (2^187)P */ 0x7d, 0x8d, 0xc8, 0x6c, 0xea, 0xb4, 0xb9, 0xe8, 0x40, 0xc9, 0x69, 0xc9, 0x30, 0x05, 0xfd, 0x34, 0x46, 0xfd, 0x94, 0x05, 0x16, 0xf5, 0x4b, 0x13, 0x3d, 0x24, 0x1a, 0xd6, 0x64, 0x2b, 0x9c, 0xe2, 0xa5, 0xd9, 0x98, 0xe0, 0xe8, 0xf4, 0xbc, 0x2c, 0xbd, 0xa2, 0x56, 0xe3, 0x9e, 0x14, 0xdb, 0xbf, 0x05, 0xbf, 0x9a, 0x13, 0x5d, 0xf7, 0x91, 0xa3,
|
||||
/* (2^188)P */ 0x8b, 0xcb, 0x27, 0xf3, 0x15, 0x26, 0x05, 0x40, 0x0f, 0xa6, 0x15, 0x13, 0x71, 0x95, 0xa2, 0xc6, 0x38, 0x04, 0x67, 0xf8, 0x9a, 0x83, 0x06, 0xaa, 0x25, 0x36, 0x72, 0x01, 0x6f, 0x74, 0x5f, 0xe5, 0x6e, 0x44, 0x99, 0xce, 0x13, 0xbc, 0x82, 0xc2, 0x0d, 0xa4, 0x98, 0x50, 0x38, 0xf3, 0xa2, 0xc5, 0xe5, 0x24, 0x1f, 0x6f, 0x56, 0x3e, 0x07, 0xb2,
|
||||
/* (2^189)P */ 0xbd, 0x0f, 0x32, 0x60, 0x07, 0xb1, 0xd7, 0x0b, 0x11, 0x07, 0x57, 0x02, 0x89, 0xe8, 0x8b, 0xe8, 0x5a, 0x1f, 0xee, 0x54, 0x6b, 0xff, 0xb3, 0x04, 0x07, 0x57, 0x13, 0x0b, 0x94, 0xa8, 0x4d, 0x81, 0xe2, 0x17, 0x16, 0x45, 0xd4, 0x4b, 0xf7, 0x7e, 0x64, 0x66, 0x20, 0xe8, 0x0b, 0x26, 0xfd, 0xa9, 0x8a, 0x47, 0x52, 0x89, 0x14, 0xd0, 0xd1, 0xa1,
|
||||
/* (2^190)P */ 0xdc, 0x03, 0xe6, 0x20, 0x44, 0x47, 0x8f, 0x04, 0x16, 0x24, 0x22, 0xc1, 0x55, 0x5c, 0xbe, 0x43, 0xc3, 0x92, 0xc5, 0x54, 0x3d, 0x5d, 0xd1, 0x05, 0x9c, 0xc6, 0x7c, 0xbf, 0x23, 0x84, 0x1a, 0xba, 0x4f, 0x1f, 0xfc, 0xa1, 0xae, 0x1a, 0x64, 0x02, 0x51, 0xf1, 0xcb, 0x7a, 0x20, 0xce, 0xb2, 0x34, 0x3c, 0xca, 0xe0, 0xe4, 0xba, 0x22, 0xd4, 0x7b,
|
||||
/* (2^191)P */ 0xca, 0xfd, 0xca, 0xd7, 0xde, 0x61, 0xae, 0xf0, 0x79, 0x0c, 0x20, 0xab, 0xbc, 0x6f, 0x4d, 0x61, 0xf0, 0xc7, 0x9c, 0x8d, 0x4b, 0x52, 0xf3, 0xb9, 0x48, 0x63, 0x0b, 0xb6, 0xd2, 0x25, 0x9a, 0x96, 0x72, 0xc1, 0x6b, 0x0c, 0xb5, 0xfb, 0x71, 0xaa, 0xad, 0x47, 0x5b, 0xe7, 0xc0, 0x0a, 0x55, 0xb2, 0xd4, 0x16, 0x2f, 0xb1, 0x01, 0xfd, 0xce, 0x27,
|
||||
/* (2^192)P */ 0x64, 0x11, 0x4b, 0xab, 0x57, 0x09, 0xc6, 0x49, 0x4a, 0x37, 0xc3, 0x36, 0xc4, 0x7b, 0x81, 0x1f, 0x42, 0xed, 0xbb, 0xe0, 0xa0, 0x8d, 0x51, 0xe6, 0xca, 0x8b, 0xb9, 0xcd, 0x99, 0x2d, 0x91, 0x53, 0xa9, 0x47, 0xcb, 0x32, 0xc7, 0xa4, 0x92, 0xec, 0x46, 0x74, 0x44, 0x6d, 0x71, 0x9f, 0x6d, 0x0c, 0x69, 0xa4, 0xf8, 0xbe, 0x9f, 0x7f, 0xa0, 0xd7,
|
||||
/* (2^193)P */ 0x5f, 0x33, 0xb6, 0x91, 0xc8, 0xa5, 0x3f, 0x5d, 0x7f, 0x38, 0x6e, 0x74, 0x20, 0x4a, 0xd6, 0x2b, 0x98, 0x2a, 0x41, 0x4b, 0x83, 0x64, 0x0b, 0x92, 0x7a, 0x06, 0x1e, 0xc6, 0x2c, 0xf6, 0xe4, 0x91, 0xe5, 0xb1, 0x2e, 0x6e, 0x4e, 0xa8, 0xc8, 0x14, 0x32, 0x57, 0x44, 0x1c, 0xe4, 0xb9, 0x7f, 0x54, 0x51, 0x08, 0x81, 0xaa, 0x4e, 0xce, 0xa1, 0x5d,
|
||||
/* (2^194)P */ 0x5c, 0xd5, 0x9b, 0x5e, 0x7c, 0xb5, 0xb1, 0x52, 0x73, 0x00, 0x41, 0x56, 0x79, 0x08, 0x7e, 0x07, 0x28, 0x06, 0xa6, 0xfb, 0x7f, 0x69, 0xbd, 0x7a, 0x3c, 0xae, 0x9f, 0x39, 0xbb, 0x54, 0xa2, 0x79, 0xb9, 0x0e, 0x7f, 0xbb, 0xe0, 0xe6, 0xb7, 0x27, 0x64, 0x38, 0x45, 0xdb, 0x84, 0xe4, 0x61, 0x72, 0x3f, 0xe2, 0x24, 0xfe, 0x7a, 0x31, 0x9a, 0xc9,
|
||||
/* (2^195)P */ 0xa1, 0xd2, 0xa4, 0xee, 0x24, 0x96, 0xe5, 0x5b, 0x79, 0x78, 0x3c, 0x7b, 0x82, 0x3b, 0x8b, 0x58, 0x0b, 0xa3, 0x63, 0x2d, 0xbc, 0x75, 0x46, 0xe8, 0x83, 0x1a, 0xc0, 0x2a, 0x92, 0x61, 0xa8, 0x75, 0x37, 0x3c, 0xbf, 0x0f, 0xef, 0x8f, 0x6c, 0x97, 0x75, 0x10, 0x05, 0x7a, 0xde, 0x23, 0xe8, 0x2a, 0x35, 0xeb, 0x41, 0x64, 0x7d, 0xcf, 0xe0, 0x52,
|
||||
/* (2^196)P */ 0x4a, 0xd0, 0x49, 0x93, 0xae, 0xf3, 0x24, 0x8c, 0xe1, 0x09, 0x98, 0x45, 0xd8, 0xb9, 0xfe, 0x8e, 0x8c, 0xa8, 0x2c, 0xc9, 0x9f, 0xce, 0x01, 0xdc, 0x38, 0x11, 0xab, 0x85, 0xb9, 0xe8, 0x00, 0x51, 0xfd, 0x82, 0xe1, 0x9b, 0x4e, 0xfc, 0xb5, 0x2a, 0x0f, 0x8b, 0xda, 0x4e, 0x02, 0xca, 0xcc, 0xe3, 0x91, 0xc4, 0xe0, 0xcf, 0x7b, 0xd6, 0xe6, 0x6a,
|
||||
/* (2^197)P */ 0xfe, 0x11, 0xd7, 0xaa, 0xe3, 0x0c, 0x52, 0x2e, 0x04, 0xe0, 0xe0, 0x61, 0xc8, 0x05, 0xd7, 0x31, 0x4c, 0xc3, 0x9b, 0x2d, 0xce, 0x59, 0xbe, 0x12, 0xb7, 0x30, 0x21, 0xfc, 0x81, 0xb8, 0x5e, 0x57, 0x73, 0xd0, 0xad, 0x8e, 0x9e, 0xe4, 0xeb, 0xcd, 0xcf, 0xd2, 0x0f, 0x01, 0x35, 0x16, 0xed, 0x7a, 0x43, 0x8e, 0x42, 0xdc, 0xea, 0x4c, 0xa8, 0x7c,
|
||||
/* (2^198)P */ 0x37, 0x26, 0xcc, 0x76, 0x0b, 0xe5, 0x76, 0xdd, 0x3e, 0x19, 0x3c, 0xc4, 0x6c, 0x7f, 0xd0, 0x03, 0xc1, 0xb8, 0x59, 0x82, 0xca, 0x36, 0xc1, 0xe4, 0xc8, 0xb2, 0x83, 0x69, 0x9c, 0xc5, 0x9d, 0x12, 0x82, 0x1c, 0xea, 0xb2, 0x84, 0x9f, 0xf3, 0x52, 0x6b, 0xbb, 0xd8, 0x81, 0x56, 0x83, 0x04, 0x66, 0x05, 0x22, 0x49, 0x37, 0x93, 0xb1, 0xfd, 0xd5,
|
||||
/* (2^199)P */ 0xaf, 0x96, 0xbf, 0x03, 0xbe, 0xe6, 0x5d, 0x78, 0x19, 0xba, 0x37, 0x46, 0x0a, 0x2b, 0x52, 0x7c, 0xd8, 0x51, 0x9e, 0x3d, 0x29, 0x42, 0xdb, 0x0e, 0x31, 0x20, 0x94, 0xf8, 0x43, 0x9a, 0x2d, 0x22, 0xd3, 0xe3, 0xa1, 0x79, 0x68, 0xfb, 0x2d, 0x7e, 0xd6, 0x79, 0xda, 0x0b, 0xc6, 0x5b, 0x76, 0x68, 0xf0, 0xfe, 0x72, 0x59, 0xbb, 0xa1, 0x9c, 0x74,
|
||||
/* (2^200)P */ 0x0a, 0xd9, 0xec, 0xc5, 0xbd, 0xf0, 0xda, 0xcf, 0x82, 0xab, 0x46, 0xc5, 0x32, 0x13, 0xdc, 0x5b, 0xac, 0xc3, 0x53, 0x9a, 0x7f, 0xef, 0xa5, 0x40, 0x5a, 0x1f, 0xc1, 0x12, 0x91, 0x54, 0x83, 0x6a, 0xb0, 0x9a, 0x85, 0x4d, 0xbf, 0x36, 0x8e, 0xd3, 0xa2, 0x2b, 0xe5, 0xd6, 0xc6, 0xe1, 0x58, 0x5b, 0x82, 0x9b, 0xc8, 0xf2, 0x03, 0xba, 0xf5, 0x92,
|
||||
/* (2^201)P */ 0xfb, 0x21, 0x7e, 0xde, 0xe7, 0xb4, 0xc0, 0x56, 0x86, 0x3a, 0x5b, 0x78, 0xf8, 0xf0, 0xf4, 0xe7, 0x5c, 0x00, 0xd2, 0xd7, 0xd6, 0xf8, 0x75, 0x5e, 0x0f, 0x3e, 0xd1, 0x4b, 0x77, 0xd8, 0xad, 0xb0, 0xc9, 0x8b, 0x59, 0x7d, 0x30, 0x76, 0x64, 0x7a, 0x76, 0xd9, 0x51, 0x69, 0xfc, 0xbd, 0x8e, 0xb5, 0x55, 0xe0, 0xd2, 0x07, 0x15, 0xa9, 0xf7, 0xa4,
|
||||
/* (2^202)P */ 0xaa, 0x2d, 0x2f, 0x2b, 0x3c, 0x15, 0xdd, 0xcd, 0xe9, 0x28, 0x82, 0x4f, 0xa2, 0xaa, 0x31, 0x48, 0xcc, 0xfa, 0x07, 0x73, 0x8a, 0x34, 0x74, 0x0d, 0xab, 0x1a, 0xca, 0xd2, 0xbf, 0x3a, 0xdb, 0x1a, 0x5f, 0x50, 0x62, 0xf4, 0x6b, 0x83, 0x38, 0x43, 0x96, 0xee, 0x6b, 0x39, 0x1e, 0xf0, 0x17, 0x80, 0x1e, 0x9b, 0xed, 0x2b, 0x2f, 0xcc, 0x65, 0xf7,
|
||||
/* (2^203)P */ 0x03, 0xb3, 0x23, 0x9c, 0x0d, 0xd1, 0xeb, 0x7e, 0x34, 0x17, 0x8a, 0x4c, 0xde, 0x54, 0x39, 0xc4, 0x11, 0x82, 0xd3, 0xa4, 0x00, 0x32, 0x95, 0x9c, 0xa6, 0x64, 0x76, 0x6e, 0xd6, 0x53, 0x27, 0xb4, 0x6a, 0x14, 0x8c, 0x54, 0xf6, 0x58, 0x9e, 0x22, 0x4a, 0x55, 0x18, 0x77, 0xd0, 0x08, 0x6b, 0x19, 0x8a, 0xb5, 0xe7, 0x19, 0xb8, 0x60, 0x92, 0xb1,
|
||||
/* (2^204)P */ 0x66, 0xec, 0xf3, 0x12, 0xde, 0x67, 0x7f, 0xd4, 0x5b, 0xf6, 0x70, 0x64, 0x0a, 0xb5, 0xc2, 0xf9, 0xb3, 0x64, 0xab, 0x56, 0x46, 0xc7, 0x93, 0xc2, 0x8b, 0x2d, 0xd0, 0xd6, 0x39, 0x3b, 0x1f, 0xcd, 0xb3, 0xac, 0xcc, 0x2c, 0x27, 0x6a, 0xbc, 0xb3, 0x4b, 0xa8, 0x3c, 0x69, 0x20, 0xe2, 0x18, 0x35, 0x17, 0xe1, 0x8a, 0xd3, 0x11, 0x74, 0xaa, 0x4d,
|
||||
/* (2^205)P */ 0x96, 0xc4, 0x16, 0x7e, 0xfd, 0xf5, 0xd0, 0x7d, 0x1f, 0x32, 0x1b, 0xdb, 0xa6, 0xfd, 0x51, 0x75, 0x4d, 0xd7, 0x00, 0xe5, 0x7f, 0x58, 0x5b, 0xeb, 0x4b, 0x6a, 0x78, 0xfe, 0xe5, 0xd6, 0x8f, 0x99, 0x17, 0xca, 0x96, 0x45, 0xf7, 0x52, 0xdf, 0x84, 0x06, 0x77, 0xb9, 0x05, 0x63, 0x5d, 0xe9, 0x91, 0xb1, 0x4b, 0x82, 0x5a, 0xdb, 0xd7, 0xca, 0x69,
|
||||
/* (2^206)P */ 0x02, 0xd3, 0x38, 0x38, 0x87, 0xea, 0xbd, 0x9f, 0x11, 0xca, 0xf3, 0x21, 0xf1, 0x9b, 0x35, 0x97, 0x98, 0xff, 0x8e, 0x6d, 0x3d, 0xd6, 0xb2, 0xfa, 0x68, 0xcb, 0x7e, 0x62, 0x85, 0xbb, 0xc7, 0x5d, 0xee, 0x32, 0x30, 0x2e, 0x71, 0x96, 0x63, 0x43, 0x98, 0xc4, 0xa7, 0xde, 0x60, 0xb2, 0xd9, 0x43, 0x4a, 0xfa, 0x97, 0x2d, 0x5f, 0x21, 0xd4, 0xfe,
|
||||
/* (2^207)P */ 0x3b, 0x20, 0x29, 0x07, 0x07, 0xb5, 0x78, 0xc3, 0xc7, 0xab, 0x56, 0xba, 0x40, 0xde, 0x1d, 0xcf, 0xc3, 0x00, 0x56, 0x21, 0x0c, 0xc8, 0x42, 0xd9, 0x0e, 0xcd, 0x02, 0x7c, 0x07, 0xb9, 0x11, 0xd7, 0x96, 0xaf, 0xff, 0xad, 0xc5, 0xba, 0x30, 0x6d, 0x82, 0x3a, 0xbf, 0xef, 0x7b, 0xf7, 0x0a, 0x74, 0xbd, 0x31, 0x0c, 0xe4, 0xec, 0x1a, 0xe5, 0xc5,
|
||||
/* (2^208)P */ 0xcc, 0xf2, 0x28, 0x16, 0x12, 0xbf, 0xef, 0x85, 0xbc, 0xf7, 0xcb, 0x9f, 0xdb, 0xa8, 0xb2, 0x49, 0x53, 0x48, 0xa8, 0x24, 0xa8, 0x68, 0x8d, 0xbb, 0x21, 0x0a, 0x5a, 0xbd, 0xb2, 0x91, 0x61, 0x47, 0xc4, 0x43, 0x08, 0xa6, 0x19, 0xef, 0x8e, 0x88, 0x39, 0xc6, 0x33, 0x30, 0xf3, 0x0e, 0xc5, 0x92, 0x66, 0xd6, 0xfe, 0xc5, 0x12, 0xd9, 0x4c, 0x2d,
|
||||
/* (2^209)P */ 0x30, 0x34, 0x07, 0xbf, 0x9c, 0x5a, 0x4e, 0x65, 0xf1, 0x39, 0x35, 0x38, 0xae, 0x7b, 0x55, 0xac, 0x6a, 0x92, 0x24, 0x7e, 0x50, 0xd3, 0xba, 0x78, 0x51, 0xfe, 0x4d, 0x32, 0x05, 0x11, 0xf5, 0x52, 0xf1, 0x31, 0x45, 0x39, 0x98, 0x7b, 0x28, 0x56, 0xc3, 0x5d, 0x4f, 0x07, 0x6f, 0x84, 0xb8, 0x1a, 0x58, 0x0b, 0xc4, 0x7c, 0xc4, 0x8d, 0x32, 0x8e,
|
||||
/* (2^210)P */ 0x7e, 0xaf, 0x98, 0xce, 0xc5, 0x2b, 0x9d, 0xf6, 0xfa, 0x2c, 0xb6, 0x2a, 0x5a, 0x1d, 0xc0, 0x24, 0x8d, 0xa4, 0xce, 0xb1, 0x12, 0x01, 0xf9, 0x79, 0xc6, 0x79, 0x38, 0x0c, 0xd4, 0x07, 0xc9, 0xf7, 0x37, 0xa1, 0x0b, 0xfe, 0x72, 0xec, 0x5d, 0xd6, 0xb0, 0x1c, 0x70, 0xbe, 0x70, 0x01, 0x13, 0xe0, 0x86, 0x95, 0xc7, 0x2e, 0x12, 0x3b, 0xe6, 0xa6,
|
||||
/* (2^211)P */ 0x24, 0x82, 0x67, 0xe0, 0x14, 0x7b, 0x56, 0x08, 0x38, 0x44, 0xdb, 0xa0, 0x3a, 0x05, 0x47, 0xb2, 0xc0, 0xac, 0xd1, 0xcc, 0x3f, 0x82, 0xb8, 0x8a, 0x88, 0xbc, 0xf5, 0x33, 0xa1, 0x35, 0x0f, 0xf6, 0xe2, 0xef, 0x6c, 0xf7, 0x37, 0x9e, 0xe8, 0x10, 0xca, 0xb0, 0x8e, 0x80, 0x86, 0x00, 0x23, 0xd0, 0x4a, 0x76, 0x9f, 0xf7, 0x2c, 0x52, 0x15, 0x0e,
|
||||
/* (2^212)P */ 0x5e, 0x49, 0xe1, 0x2c, 0x9a, 0x01, 0x76, 0xa6, 0xb3, 0x07, 0x5b, 0xa4, 0x07, 0xef, 0x1d, 0xc3, 0x6a, 0xbb, 0x64, 0xbe, 0x71, 0x15, 0x6e, 0x32, 0x31, 0x46, 0x9a, 0x9e, 0x8f, 0x45, 0x73, 0xce, 0x0b, 0x94, 0x1a, 0x52, 0x07, 0xf4, 0x50, 0x30, 0x49, 0x53, 0x50, 0xfb, 0x71, 0x1f, 0x5a, 0x03, 0xa9, 0x76, 0xf2, 0x8f, 0x42, 0xff, 0xed, 0xed,
|
||||
/* (2^213)P */ 0xed, 0x08, 0xdb, 0x91, 0x1c, 0xee, 0xa2, 0xb4, 0x47, 0xa2, 0xfa, 0xcb, 0x03, 0xd1, 0xff, 0x8c, 0xad, 0x64, 0x50, 0x61, 0xcd, 0xfc, 0x88, 0xa0, 0x31, 0x95, 0x30, 0xb9, 0x58, 0xdd, 0xd7, 0x43, 0xe4, 0x46, 0xc2, 0x16, 0xd9, 0x72, 0x4a, 0x56, 0x51, 0x70, 0x85, 0xf1, 0xa1, 0x80, 0x40, 0xd5, 0xba, 0x67, 0x81, 0xda, 0xcd, 0x03, 0xea, 0x51,
|
||||
/* (2^214)P */ 0x42, 0x50, 0xf0, 0xef, 0x37, 0x61, 0x72, 0x85, 0xe1, 0xf1, 0xff, 0x6f, 0x3d, 0xe8, 0x7b, 0x21, 0x5c, 0xe5, 0x50, 0x03, 0xde, 0x00, 0xc1, 0xf7, 0x3a, 0x55, 0x12, 0x1c, 0x9e, 0x1e, 0xce, 0xd1, 0x2f, 0xaf, 0x05, 0x70, 0x5b, 0x47, 0xf2, 0x04, 0x7a, 0x89, 0xbc, 0x78, 0xa6, 0x65, 0x6c, 0xaa, 0x3c, 0xa2, 0x3c, 0x8b, 0x5c, 0xa9, 0x22, 0x48,
|
||||
/* (2^215)P */ 0x7e, 0x8c, 0x8f, 0x2f, 0x60, 0xe3, 0x5a, 0x94, 0xd4, 0xce, 0xdd, 0x9d, 0x83, 0x3b, 0x77, 0x78, 0x43, 0x1d, 0xfd, 0x8f, 0xc8, 0xe8, 0x02, 0x90, 0xab, 0xf6, 0xc9, 0xfc, 0xf1, 0x63, 0xaa, 0x5f, 0x42, 0xf1, 0x78, 0x34, 0x64, 0x16, 0x75, 0x9c, 0x7d, 0xd0, 0xe4, 0x74, 0x5a, 0xa8, 0xfb, 0xcb, 0xac, 0x20, 0xa3, 0xc2, 0xa6, 0x20, 0xf8, 0x1b,
|
||||
/* (2^216)P */ 0x00, 0x4f, 0x1e, 0x56, 0xb5, 0x34, 0xb2, 0x87, 0x31, 0xe5, 0xee, 0x8d, 0xf1, 0x41, 0x67, 0xb7, 0x67, 0x3a, 0x54, 0x86, 0x5c, 0xf0, 0x0b, 0x37, 0x2f, 0x1b, 0x92, 0x5d, 0x58, 0x93, 0xdc, 0xd8, 0x58, 0xcc, 0x9e, 0x67, 0xd0, 0x97, 0x3a, 0xaf, 0x49, 0x39, 0x2d, 0x3b, 0xd8, 0x98, 0xfb, 0x76, 0x6b, 0xe7, 0xaf, 0xc3, 0x45, 0x44, 0x53, 0x94,
|
||||
/* (2^217)P */ 0x30, 0xbd, 0x90, 0x75, 0xd3, 0xbd, 0x3b, 0x58, 0x27, 0x14, 0x9f, 0x6b, 0xd4, 0x31, 0x99, 0xcd, 0xde, 0x3a, 0x21, 0x1e, 0xb4, 0x02, 0xe4, 0x33, 0x04, 0x02, 0xb0, 0x50, 0x66, 0x68, 0x90, 0xdd, 0x7b, 0x69, 0x31, 0xd9, 0xcf, 0x68, 0x73, 0xf1, 0x60, 0xdd, 0xc8, 0x1d, 0x5d, 0xe3, 0xd6, 0x5b, 0x2a, 0xa4, 0xea, 0xc4, 0x3f, 0x08, 0xcd, 0x9c,
|
||||
/* (2^218)P */ 0x6b, 0x1a, 0xbf, 0x55, 0xc1, 0x1b, 0x0c, 0x05, 0x09, 0xdf, 0xf5, 0x5e, 0xa3, 0x77, 0x95, 0xe9, 0xdf, 0x19, 0xdd, 0xc7, 0x94, 0xcb, 0x06, 0x73, 0xd0, 0x88, 0x02, 0x33, 0x94, 0xca, 0x7a, 0x2f, 0x8e, 0x3d, 0x72, 0x61, 0x2d, 0x4d, 0xa6, 0x61, 0x1f, 0x32, 0x5e, 0x87, 0x53, 0x36, 0x11, 0x15, 0x20, 0xb3, 0x5a, 0x57, 0x51, 0x93, 0x20, 0xd8,
|
||||
/* (2^219)P */ 0xb7, 0x56, 0xf4, 0xab, 0x7d, 0x0c, 0xfb, 0x99, 0x1a, 0x30, 0x29, 0xb0, 0x75, 0x2a, 0xf8, 0x53, 0x71, 0x23, 0xbd, 0xa7, 0xd8, 0x0a, 0xe2, 0x27, 0x65, 0xe9, 0x74, 0x26, 0x98, 0x4a, 0x69, 0x19, 0xb2, 0x4d, 0x0a, 0x17, 0x98, 0xb2, 0xa9, 0x57, 0x4e, 0xf6, 0x86, 0xc8, 0x01, 0xa4, 0xc6, 0x98, 0xad, 0x5a, 0x90, 0x2c, 0x05, 0x46, 0x64, 0xb7,
|
||||
/* (2^220)P */ 0x7b, 0x91, 0xdf, 0xfc, 0xf8, 0x1c, 0x8c, 0x15, 0x9e, 0xf7, 0xd5, 0xa8, 0xe8, 0xe7, 0xe3, 0xa3, 0xb0, 0x04, 0x74, 0xfa, 0x78, 0xfb, 0x26, 0xbf, 0x67, 0x42, 0xf9, 0x8c, 0x9b, 0xb4, 0x69, 0x5b, 0x02, 0x13, 0x6d, 0x09, 0x6c, 0xd6, 0x99, 0x61, 0x7b, 0x89, 0x4a, 0x67, 0x75, 0xa3, 0x98, 0x13, 0x23, 0x1d, 0x18, 0x24, 0x0e, 0xef, 0x41, 0x79,
|
||||
/* (2^221)P */ 0x86, 0x33, 0xab, 0x08, 0xcb, 0xbf, 0x1e, 0x76, 0x3c, 0x0b, 0xbd, 0x30, 0xdb, 0xe9, 0xa3, 0x35, 0x87, 0x1b, 0xe9, 0x07, 0x00, 0x66, 0x7f, 0x3b, 0x35, 0x0c, 0x8a, 0x3f, 0x61, 0xbc, 0xe0, 0xae, 0xf6, 0xcc, 0x54, 0xe1, 0x72, 0x36, 0x2d, 0xee, 0x93, 0x24, 0xf8, 0xd7, 0xc5, 0xf9, 0xcb, 0xb0, 0xe5, 0x88, 0x0d, 0x23, 0x4b, 0x76, 0x15, 0xa2,
|
||||
/* (2^222)P */ 0x37, 0xdb, 0x83, 0xd5, 0x6d, 0x06, 0x24, 0x37, 0x1b, 0x15, 0x85, 0x15, 0xe2, 0xc0, 0x4e, 0x02, 0xa9, 0x6d, 0x0a, 0x3a, 0x94, 0x4a, 0x6f, 0x49, 0x00, 0x01, 0x72, 0xbb, 0x60, 0x14, 0x35, 0xae, 0xb4, 0xc6, 0x01, 0x0a, 0x00, 0x9e, 0xc3, 0x58, 0xc5, 0xd1, 0x5e, 0x30, 0x73, 0x96, 0x24, 0x85, 0x9d, 0xf0, 0xf9, 0xec, 0x09, 0xd3, 0xe7, 0x70,
|
||||
/* (2^223)P */ 0xf3, 0xbd, 0x96, 0x87, 0xe9, 0x71, 0xbd, 0xd6, 0xa2, 0x45, 0xeb, 0x0a, 0xcd, 0x2c, 0xf1, 0x72, 0xa6, 0x31, 0xa9, 0x6f, 0x09, 0xa1, 0x5e, 0xdd, 0xc8, 0x8d, 0x0d, 0xbc, 0x5a, 0x8d, 0xb1, 0x2c, 0x9a, 0xcc, 0x37, 0x74, 0xc2, 0xa9, 0x4e, 0xd6, 0xc0, 0x3c, 0xa0, 0x23, 0xb0, 0xa0, 0x77, 0x14, 0x80, 0x45, 0x71, 0x6a, 0x2d, 0x41, 0xc3, 0x82,
|
||||
/* (2^224)P */ 0x37, 0x44, 0xec, 0x8a, 0x3e, 0xc1, 0x0c, 0xa9, 0x12, 0x9c, 0x08, 0x88, 0xcb, 0xd9, 0xf8, 0xba, 0x00, 0xd6, 0xc3, 0xdf, 0xef, 0x7a, 0x44, 0x7e, 0x25, 0x69, 0xc9, 0xc1, 0x46, 0xe5, 0x20, 0x9e, 0xcc, 0x0b, 0x05, 0x3e, 0xf4, 0x78, 0x43, 0x0c, 0xa6, 0x2f, 0xc1, 0xfa, 0x70, 0xb2, 0x3c, 0x31, 0x7a, 0x63, 0x58, 0xab, 0x17, 0xcf, 0x4c, 0x4f,
|
||||
/* (2^225)P */ 0x2b, 0x08, 0x31, 0x59, 0x75, 0x8b, 0xec, 0x0a, 0xa9, 0x79, 0x70, 0xdd, 0xf1, 0x11, 0xc3, 0x11, 0x1f, 0xab, 0x37, 0xaa, 0x26, 0xea, 0x53, 0xc4, 0x79, 0xa7, 0x91, 0x00, 0xaa, 0x08, 0x42, 0xeb, 0x8b, 0x8b, 0xe8, 0xc3, 0x2f, 0xb8, 0x78, 0x90, 0x38, 0x0e, 0x8a, 0x42, 0x0c, 0x0f, 0xbf, 0x3e, 0xf8, 0xd8, 0x07, 0xcf, 0x6a, 0x34, 0xc9, 0xfa,
|
||||
/* (2^226)P */ 0x11, 0xe0, 0x76, 0x4d, 0x23, 0xc5, 0xa6, 0xcc, 0x9f, 0x9a, 0x2a, 0xde, 0x3a, 0xb5, 0x92, 0x39, 0x19, 0x8a, 0xf1, 0x8d, 0xf9, 0x4d, 0xc9, 0xb4, 0x39, 0x9f, 0x57, 0xd8, 0x72, 0xab, 0x1d, 0x61, 0x6a, 0xb2, 0xff, 0x52, 0xba, 0x54, 0x0e, 0xfb, 0x83, 0x30, 0x8a, 0xf7, 0x3b, 0xf4, 0xd8, 0xae, 0x1a, 0x94, 0x3a, 0xec, 0x63, 0xfe, 0x6e, 0x7c,
|
||||
/* (2^227)P */ 0xdc, 0x70, 0x8e, 0x55, 0x44, 0xbf, 0xd2, 0x6a, 0xa0, 0x14, 0x61, 0x89, 0xd5, 0x55, 0x45, 0x3c, 0xf6, 0x40, 0x0d, 0x83, 0x85, 0x44, 0xb4, 0x62, 0x56, 0xfe, 0x60, 0xd7, 0x07, 0x1d, 0x47, 0x30, 0x3b, 0x73, 0xa4, 0xb5, 0xb7, 0xea, 0xac, 0xda, 0xf1, 0x17, 0xaa, 0x60, 0xdf, 0xe9, 0x84, 0xda, 0x31, 0x32, 0x61, 0xbf, 0xd0, 0x7e, 0x8a, 0x02,
|
||||
/* (2^228)P */ 0xb9, 0x51, 0xb3, 0x89, 0x21, 0x5d, 0xa2, 0xfe, 0x79, 0x2a, 0xb3, 0x2a, 0x3b, 0xe6, 0x6f, 0x2b, 0x22, 0x03, 0xea, 0x7b, 0x1f, 0xaf, 0x85, 0xc3, 0x38, 0x55, 0x5b, 0x8e, 0xb4, 0xaa, 0x77, 0xfe, 0x03, 0x6e, 0xda, 0x91, 0x24, 0x0c, 0x48, 0x39, 0x27, 0x43, 0x16, 0xd2, 0x0a, 0x0d, 0x43, 0xa3, 0x0e, 0xca, 0x45, 0xd1, 0x7f, 0xf5, 0xd3, 0x16,
|
||||
/* (2^229)P */ 0x3d, 0x32, 0x9b, 0x38, 0xf8, 0x06, 0x93, 0x78, 0x5b, 0x50, 0x2b, 0x06, 0xd8, 0x66, 0xfe, 0xab, 0x9b, 0x58, 0xc7, 0xd1, 0x4d, 0xd5, 0xf8, 0x3b, 0x10, 0x7e, 0x85, 0xde, 0x58, 0x4e, 0xdf, 0x53, 0xd9, 0x58, 0xe0, 0x15, 0x81, 0x9f, 0x1a, 0x78, 0xfc, 0x9f, 0x10, 0xc2, 0x23, 0xd6, 0x78, 0xd1, 0x9d, 0xd2, 0xd5, 0x1c, 0x53, 0xe2, 0xc9, 0x76,
|
||||
/* (2^230)P */ 0x98, 0x1e, 0x38, 0x7b, 0x71, 0x18, 0x4b, 0x15, 0xaf, 0xa1, 0xa6, 0x98, 0xcb, 0x26, 0xa3, 0xc8, 0x07, 0x46, 0xda, 0x3b, 0x70, 0x65, 0xec, 0x7a, 0x2b, 0x34, 0x94, 0xa8, 0xb6, 0x14, 0xf8, 0x1a, 0xce, 0xf7, 0xc8, 0x60, 0xf3, 0x88, 0xf4, 0x33, 0x60, 0x7b, 0xd1, 0x02, 0xe7, 0xda, 0x00, 0x4a, 0xea, 0xd2, 0xfd, 0x88, 0xd2, 0x99, 0x28, 0xf3,
|
||||
/* (2^231)P */ 0x28, 0x24, 0x1d, 0x26, 0xc2, 0xeb, 0x8b, 0x3b, 0xb4, 0x6b, 0xbe, 0x6b, 0x77, 0xff, 0xf3, 0x21, 0x3b, 0x26, 0x6a, 0x8c, 0x8e, 0x2a, 0x44, 0xa8, 0x01, 0x2b, 0x71, 0xea, 0x64, 0x30, 0xfd, 0xfd, 0x95, 0xcb, 0x39, 0x38, 0x48, 0xfa, 0x96, 0x97, 0x8c, 0x2f, 0x33, 0xca, 0x03, 0xe6, 0xd7, 0x94, 0x55, 0x6c, 0xc3, 0xb3, 0xa8, 0xf7, 0xae, 0x8c,
|
||||
/* (2^232)P */ 0xea, 0x62, 0x8a, 0xb4, 0xeb, 0x74, 0xf7, 0xb8, 0xae, 0xc5, 0x20, 0x71, 0x06, 0xd6, 0x7c, 0x62, 0x9b, 0x69, 0x74, 0xef, 0xa7, 0x6d, 0xd6, 0x8c, 0x37, 0xb9, 0xbf, 0xcf, 0xeb, 0xe4, 0x2f, 0x04, 0x02, 0x21, 0x7d, 0x75, 0x6b, 0x92, 0x48, 0xf8, 0x70, 0xad, 0x69, 0xe2, 0xea, 0x0e, 0x88, 0x67, 0x72, 0xcc, 0x2d, 0x10, 0xce, 0x2d, 0xcf, 0x65,
|
||||
/* (2^233)P */ 0x49, 0xf3, 0x57, 0x64, 0xe5, 0x5c, 0xc5, 0x65, 0x49, 0x97, 0xc4, 0x8a, 0xcc, 0xa9, 0xca, 0x94, 0x7b, 0x86, 0x88, 0xb6, 0x51, 0x27, 0x69, 0xa5, 0x0f, 0x8b, 0x06, 0x59, 0xa0, 0x94, 0xef, 0x63, 0x1a, 0x01, 0x9e, 0x4f, 0xd2, 0x5a, 0x93, 0xc0, 0x7c, 0xe6, 0x61, 0x77, 0xb6, 0xf5, 0x40, 0xd9, 0x98, 0x43, 0x5b, 0x56, 0x68, 0xe9, 0x37, 0x8f,
|
||||
/* (2^234)P */ 0xee, 0x87, 0xd2, 0x05, 0x1b, 0x39, 0x89, 0x10, 0x07, 0x6d, 0xe8, 0xfd, 0x8b, 0x4d, 0xb2, 0xa7, 0x7b, 0x1e, 0xa0, 0x6c, 0x0d, 0x3d, 0x3d, 0x49, 0xba, 0x61, 0x36, 0x1f, 0xc2, 0x84, 0x4a, 0xcc, 0x87, 0xa9, 0x1b, 0x23, 0x04, 0xe2, 0x3e, 0x97, 0xe1, 0xdb, 0xd5, 0x5a, 0xe8, 0x41, 0x6b, 0xe5, 0x5a, 0xa1, 0x99, 0xe5, 0x7b, 0xa7, 0xe0, 0x3b,
|
||||
/* (2^235)P */ 0xea, 0xa3, 0x6a, 0xdd, 0x77, 0x7f, 0x77, 0x41, 0xc5, 0x6a, 0xe4, 0xaf, 0x11, 0x5f, 0x88, 0xa5, 0x10, 0xee, 0xd0, 0x8c, 0x0c, 0xb4, 0xa5, 0x2a, 0xd0, 0xd8, 0x1d, 0x47, 0x06, 0xc0, 0xd5, 0xce, 0x51, 0x54, 0x9b, 0x2b, 0xe6, 0x2f, 0xe7, 0xe7, 0x31, 0x5f, 0x5c, 0x23, 0x81, 0x3e, 0x03, 0x93, 0xaa, 0x2d, 0x71, 0x84, 0xa0, 0x89, 0x32, 0xa6,
|
||||
/* (2^236)P */ 0x55, 0xa3, 0x13, 0x92, 0x4e, 0x93, 0x7d, 0xec, 0xca, 0x57, 0xfb, 0x37, 0xae, 0xd2, 0x18, 0x2e, 0x54, 0x05, 0x6c, 0xd1, 0x28, 0xca, 0x90, 0x40, 0x82, 0x2e, 0x79, 0xc6, 0x5a, 0xc7, 0xdd, 0x84, 0x93, 0xdf, 0x15, 0xb8, 0x1f, 0xb1, 0xf9, 0xaf, 0x2c, 0xe5, 0x32, 0xcd, 0xc2, 0x99, 0x6d, 0xac, 0x85, 0x5c, 0x63, 0xd3, 0xe2, 0xff, 0x24, 0xda,
|
||||
/* (2^237)P */ 0x2d, 0x8d, 0xfd, 0x65, 0xcc, 0xe5, 0x02, 0xa0, 0xe5, 0xb9, 0xec, 0x59, 0x09, 0x50, 0x27, 0xb7, 0x3d, 0x2a, 0x79, 0xb2, 0x76, 0x5d, 0x64, 0x95, 0xf8, 0xc5, 0xaf, 0x8a, 0x62, 0x11, 0x5c, 0x56, 0x1c, 0x05, 0x64, 0x9e, 0x5e, 0xbd, 0x54, 0x04, 0xe6, 0x9e, 0xab, 0xe6, 0x22, 0x7e, 0x42, 0x54, 0xb5, 0xa5, 0xd0, 0x8d, 0x28, 0x6b, 0x0f, 0x0b,
|
||||
/* (2^238)P */ 0x2d, 0xb2, 0x8c, 0x59, 0x10, 0x37, 0x84, 0x3b, 0x9b, 0x65, 0x1b, 0x0f, 0x10, 0xf9, 0xea, 0x60, 0x1b, 0x02, 0xf5, 0xee, 0x8b, 0xe6, 0x32, 0x7d, 0x10, 0x7f, 0x5f, 0x8c, 0x72, 0x09, 0x4e, 0x1f, 0x29, 0xff, 0x65, 0xcb, 0x3e, 0x3a, 0xd2, 0x96, 0x50, 0x1e, 0xea, 0x64, 0x99, 0xb5, 0x4c, 0x7a, 0x69, 0xb8, 0x95, 0xae, 0x48, 0xc0, 0x7c, 0xb1,
|
||||
/* (2^239)P */ 0xcd, 0x7c, 0x4f, 0x3e, 0xea, 0xf3, 0x90, 0xcb, 0x12, 0x76, 0xd1, 0x17, 0xdc, 0x0d, 0x13, 0x0f, 0xfd, 0x4d, 0xb5, 0x1f, 0xe4, 0xdd, 0xf2, 0x4d, 0x58, 0xea, 0xa5, 0x66, 0x92, 0xcf, 0xe5, 0x54, 0xea, 0x9b, 0x35, 0x83, 0x1a, 0x44, 0x8e, 0x62, 0x73, 0x45, 0x98, 0xa3, 0x89, 0x95, 0x52, 0x93, 0x1a, 0x8d, 0x63, 0x0f, 0xc2, 0x57, 0x3c, 0xb1,
|
||||
/* (2^240)P */ 0x72, 0xb4, 0xdf, 0x51, 0xb7, 0xf6, 0x52, 0xa2, 0x14, 0x56, 0xe5, 0x0a, 0x2e, 0x75, 0x81, 0x02, 0xee, 0x93, 0x48, 0x0a, 0x92, 0x4e, 0x0c, 0x0f, 0xdf, 0x09, 0x89, 0x99, 0xf6, 0xf9, 0x22, 0xa2, 0x32, 0xf8, 0xb0, 0x76, 0x0c, 0xb2, 0x4d, 0x6e, 0xbe, 0x83, 0x35, 0x61, 0x44, 0xd2, 0x58, 0xc7, 0xdd, 0x14, 0xcf, 0xc3, 0x4b, 0x7c, 0x07, 0xee,
|
||||
/* (2^241)P */ 0x8b, 0x03, 0xee, 0xcb, 0xa7, 0x2e, 0x28, 0xbd, 0x97, 0xd1, 0x4c, 0x2b, 0xd1, 0x92, 0x67, 0x5b, 0x5a, 0x12, 0xbf, 0x29, 0x17, 0xfc, 0x50, 0x09, 0x74, 0x76, 0xa2, 0xd4, 0x82, 0xfd, 0x2c, 0x0c, 0x90, 0xf7, 0xe7, 0xe5, 0x9a, 0x2c, 0x16, 0x40, 0xb9, 0x6c, 0xd9, 0xe0, 0x22, 0x9e, 0xf8, 0xdd, 0x73, 0xe4, 0x7b, 0x9e, 0xbe, 0x4f, 0x66, 0x22,
|
||||
/* (2^242)P */ 0xa4, 0x10, 0xbe, 0xb8, 0x83, 0x3a, 0x77, 0x8e, 0xea, 0x0a, 0xc4, 0x97, 0x3e, 0xb6, 0x6c, 0x81, 0xd7, 0x65, 0xd9, 0xf7, 0xae, 0xe6, 0xbe, 0xab, 0x59, 0x81, 0x29, 0x4b, 0xff, 0xe1, 0x0f, 0xc3, 0x2b, 0xad, 0x4b, 0xef, 0xc4, 0x50, 0x9f, 0x88, 0x31, 0xf2, 0xde, 0x80, 0xd6, 0xf4, 0x20, 0x9c, 0x77, 0x9b, 0xbe, 0xbe, 0x08, 0xf5, 0xf0, 0x95,
|
||||
/* (2^243)P */ 0x0e, 0x7c, 0x7b, 0x7c, 0xb3, 0xd8, 0x83, 0xfc, 0x8c, 0x75, 0x51, 0x74, 0x1b, 0xe1, 0x6d, 0x11, 0x05, 0x46, 0x24, 0x0d, 0xa4, 0x2b, 0x32, 0xfd, 0x2c, 0x4e, 0x21, 0xdf, 0x39, 0x6b, 0x96, 0xfc, 0xff, 0x92, 0xfc, 0x35, 0x0d, 0x9a, 0x4b, 0xc0, 0x70, 0x46, 0x32, 0x7d, 0xc0, 0xc4, 0x04, 0xe0, 0x2d, 0x83, 0xa7, 0x00, 0xc7, 0xcb, 0xb4, 0x8f,
|
||||
/* (2^244)P */ 0xa9, 0x5a, 0x7f, 0x0e, 0xdd, 0x2c, 0x85, 0xaa, 0x4d, 0xac, 0xde, 0xb3, 0xb6, 0xaf, 0xe6, 0xd1, 0x06, 0x7b, 0x2c, 0xa4, 0x01, 0x19, 0x22, 0x7d, 0x78, 0xf0, 0x3a, 0xea, 0x89, 0xfe, 0x21, 0x61, 0x6d, 0xb8, 0xfe, 0xa5, 0x2a, 0xab, 0x0d, 0x7b, 0x51, 0x39, 0xb6, 0xde, 0xbc, 0xf0, 0xc5, 0x48, 0xd7, 0x09, 0x82, 0x6e, 0x66, 0x75, 0xc5, 0xcd,
|
||||
/* (2^245)P */ 0xee, 0xdf, 0x2b, 0x6c, 0xa8, 0xde, 0x61, 0xe1, 0x27, 0xfa, 0x2a, 0x0f, 0x68, 0xe7, 0x7a, 0x9b, 0x13, 0xe9, 0x56, 0xd2, 0x1c, 0x3d, 0x2f, 0x3c, 0x7a, 0xf6, 0x6f, 0x45, 0xee, 0xe8, 0xf4, 0xa0, 0xa6, 0xe8, 0xa5, 0x27, 0xee, 0xf2, 0x85, 0xa9, 0xd5, 0x0e, 0xa9, 0x26, 0x60, 0xfe, 0xee, 0xc7, 0x59, 0x99, 0x5e, 0xa3, 0xdf, 0x23, 0x36, 0xd5,
|
||||
/* (2^246)P */ 0x15, 0x66, 0x6f, 0xd5, 0x78, 0xa4, 0x0a, 0xf7, 0xb1, 0xe8, 0x75, 0x6b, 0x48, 0x7d, 0xa6, 0x4d, 0x3d, 0x36, 0x9b, 0xc7, 0xcc, 0x68, 0x9a, 0xfe, 0x2f, 0x39, 0x2a, 0x51, 0x31, 0x39, 0x7d, 0x73, 0x6f, 0xc8, 0x74, 0x72, 0x6f, 0x6e, 0xda, 0x5f, 0xad, 0x48, 0xc8, 0x40, 0xe1, 0x06, 0x01, 0x36, 0xa1, 0x88, 0xc8, 0x99, 0x9c, 0xd1, 0x11, 0x8f,
|
||||
/* (2^247)P */ 0xab, 0xc5, 0xcb, 0xcf, 0xbd, 0x73, 0x21, 0xd0, 0x82, 0xb1, 0x2e, 0x2d, 0xd4, 0x36, 0x1b, 0xed, 0xa9, 0x8a, 0x26, 0x79, 0xc4, 0x17, 0xae, 0xe5, 0x09, 0x0a, 0x0c, 0xa4, 0x21, 0xa0, 0x6e, 0xdd, 0x62, 0x8e, 0x44, 0x62, 0xcc, 0x50, 0xff, 0x93, 0xb3, 0x9a, 0x72, 0x8c, 0x3f, 0xa1, 0xa6, 0x4d, 0x87, 0xd5, 0x1c, 0x5a, 0xc0, 0x0b, 0x1a, 0xd6,
|
||||
/* (2^248)P */ 0x67, 0x36, 0x6a, 0x1f, 0x96, 0xe5, 0x80, 0x20, 0xa9, 0xe8, 0x0b, 0x0e, 0x21, 0x29, 0x3f, 0xc8, 0x0a, 0x6d, 0x27, 0x47, 0xca, 0xd9, 0x05, 0x55, 0xbf, 0x11, 0xcf, 0x31, 0x7a, 0x37, 0xc7, 0x90, 0xa9, 0xf4, 0x07, 0x5e, 0xd5, 0xc3, 0x92, 0xaa, 0x95, 0xc8, 0x23, 0x2a, 0x53, 0x45, 0xe3, 0x3a, 0x24, 0xe9, 0x67, 0x97, 0x3a, 0x82, 0xf9, 0xa6,
|
||||
/* (2^249)P */ 0x92, 0x9e, 0x6d, 0x82, 0x67, 0xe9, 0xf9, 0x17, 0x96, 0x2c, 0xa7, 0xd3, 0x89, 0xf9, 0xdb, 0xd8, 0x20, 0xc6, 0x2e, 0xec, 0x4a, 0x76, 0x64, 0xbf, 0x27, 0x40, 0xe2, 0xb4, 0xdf, 0x1f, 0xa0, 0xef, 0x07, 0x80, 0xfb, 0x8e, 0x12, 0xf8, 0xb8, 0xe1, 0xc6, 0xdf, 0x7c, 0x69, 0x35, 0x5a, 0xe1, 0x8e, 0x5d, 0x69, 0x84, 0x56, 0xb6, 0x31, 0x1c, 0x0b,
|
||||
/* (2^250)P */ 0xd6, 0x94, 0x5c, 0xef, 0xbb, 0x46, 0x45, 0x44, 0x5b, 0xa1, 0xae, 0x03, 0x65, 0xdd, 0xb5, 0x66, 0x88, 0x35, 0x29, 0x95, 0x16, 0x54, 0xa6, 0xf5, 0xc9, 0x78, 0x34, 0xe6, 0x0f, 0xc4, 0x2b, 0x5b, 0x79, 0x51, 0x68, 0x48, 0x3a, 0x26, 0x87, 0x05, 0x70, 0xaf, 0x8b, 0xa6, 0xc7, 0x2e, 0xb3, 0xa9, 0x10, 0x01, 0xb0, 0xb9, 0x31, 0xfd, 0xdc, 0x80,
|
||||
/* (2^251)P */ 0x25, 0xf2, 0xad, 0xd6, 0x75, 0xa3, 0x04, 0x05, 0x64, 0x8a, 0x97, 0x60, 0x27, 0x2a, 0xe5, 0x6d, 0xb0, 0x73, 0xf4, 0x07, 0x2a, 0x9d, 0xe9, 0x46, 0xb4, 0x1c, 0x51, 0xf8, 0x63, 0x98, 0x7e, 0xe5, 0x13, 0x51, 0xed, 0x98, 0x65, 0x98, 0x4f, 0x8f, 0xe7, 0x7e, 0x72, 0xd7, 0x64, 0x11, 0x2f, 0xcd, 0x12, 0xf8, 0xc4, 0x63, 0x52, 0x0f, 0x7f, 0xc4,
|
||||
/* (2^252)P */ 0x5c, 0xd9, 0x85, 0x63, 0xc7, 0x8a, 0x65, 0x9a, 0x25, 0x83, 0x31, 0x73, 0x49, 0xf0, 0x93, 0x96, 0x70, 0x67, 0x6d, 0xb1, 0xff, 0x95, 0x54, 0xe4, 0xf8, 0x15, 0x6c, 0x5f, 0xbd, 0xf6, 0x0f, 0x38, 0x7b, 0x68, 0x7d, 0xd9, 0x3d, 0xf0, 0xa9, 0xa0, 0xe4, 0xd1, 0xb6, 0x34, 0x6d, 0x14, 0x16, 0xc2, 0x4c, 0x30, 0x0e, 0x67, 0xd3, 0xbe, 0x2e, 0xc0,
|
||||
/* (2^253)P */ 0x06, 0x6b, 0x52, 0xc8, 0x14, 0xcd, 0xae, 0x03, 0x93, 0xea, 0xc1, 0xf2, 0xf6, 0x8b, 0xc5, 0xb6, 0xdc, 0x82, 0x42, 0x29, 0x94, 0xe0, 0x25, 0x6c, 0x3f, 0x9f, 0x5d, 0xe4, 0x96, 0xf6, 0x8e, 0x3f, 0xf9, 0x72, 0xc4, 0x77, 0x60, 0x8b, 0xa4, 0xf9, 0xa8, 0xc3, 0x0a, 0x81, 0xb1, 0x97, 0x70, 0x18, 0xab, 0xea, 0x37, 0x8a, 0x08, 0xc7, 0xe2, 0x95,
|
||||
/* (2^254)P */ 0x94, 0x49, 0xd9, 0x5f, 0x76, 0x72, 0x82, 0xad, 0x2d, 0x50, 0x1a, 0x7a, 0x5b, 0xe6, 0x95, 0x1e, 0x95, 0x65, 0x87, 0x1c, 0x52, 0xd7, 0x44, 0xe6, 0x9b, 0x56, 0xcd, 0x6f, 0x05, 0xff, 0x67, 0xc5, 0xdb, 0xa2, 0xac, 0xe4, 0xa2, 0x28, 0x63, 0x5f, 0xfb, 0x0c, 0x3b, 0xf1, 0x87, 0xc3, 0x36, 0x78, 0x3f, 0x77, 0xfa, 0x50, 0x85, 0xf9, 0xd7, 0x82,
|
||||
/* (2^255)P */ 0x64, 0xc0, 0xe0, 0xd8, 0x2d, 0xed, 0xcb, 0x6a, 0xfd, 0xcd, 0xbc, 0x7e, 0x9f, 0xc8, 0x85, 0xe9, 0xc1, 0x7c, 0x0f, 0xe5, 0x18, 0xea, 0xd4, 0x51, 0xad, 0x59, 0x13, 0x75, 0xd9, 0x3d, 0xd4, 0x8a, 0xb2, 0xbe, 0x78, 0x52, 0x2b, 0x52, 0x94, 0x37, 0x41, 0xd6, 0xb4, 0xb6, 0x45, 0x20, 0x76, 0xe0, 0x1f, 0x31, 0xdb, 0xb1, 0xa1, 0x43, 0xf0, 0x18,
|
||||
/* (2^256)P */ 0x74, 0xa9, 0xa4, 0xa9, 0xdd, 0x6e, 0x3e, 0x68, 0xe5, 0xc3, 0x2e, 0x92, 0x17, 0xa4, 0xcb, 0x80, 0xb1, 0xf0, 0x06, 0x93, 0xef, 0xe6, 0x00, 0xe6, 0x3b, 0xb1, 0x32, 0x65, 0x7b, 0x83, 0xb6, 0x8a, 0x49, 0x1b, 0x14, 0x89, 0xee, 0xba, 0xf5, 0x6a, 0x8d, 0x36, 0xef, 0xb0, 0xd8, 0xb2, 0x16, 0x99, 0x17, 0x35, 0x02, 0x16, 0x55, 0x58, 0xdd, 0x82,
|
||||
/* (2^257)P */ 0x36, 0x95, 0xe8, 0xf4, 0x36, 0x42, 0xbb, 0xc5, 0x3e, 0xfa, 0x30, 0x84, 0x9e, 0x59, 0xfd, 0xd2, 0x95, 0x42, 0xf8, 0x64, 0xd9, 0xb9, 0x0e, 0x9f, 0xfa, 0xd0, 0x7b, 0x20, 0x31, 0x77, 0x48, 0x29, 0x4d, 0xd0, 0x32, 0x57, 0x56, 0x30, 0xa6, 0x17, 0x53, 0x04, 0xbf, 0x08, 0x28, 0xec, 0xb8, 0x46, 0xc1, 0x03, 0x89, 0xdc, 0xed, 0xa0, 0x35, 0x53,
|
||||
/* (2^258)P */ 0xc5, 0x7f, 0x9e, 0xd8, 0xc5, 0xba, 0x5f, 0x68, 0xc8, 0x23, 0x75, 0xea, 0x0d, 0xd9, 0x5a, 0xfd, 0x61, 0x1a, 0xa3, 0x2e, 0x45, 0x63, 0x14, 0x55, 0x86, 0x21, 0x29, 0xbe, 0xef, 0x5e, 0x50, 0xe5, 0x18, 0x59, 0xe7, 0xe3, 0xce, 0x4d, 0x8c, 0x15, 0x8f, 0x89, 0x66, 0x44, 0x52, 0x3d, 0xfa, 0xc7, 0x9a, 0x59, 0x90, 0x8e, 0xc0, 0x06, 0x3f, 0xc9,
|
||||
/* (2^259)P */ 0x8e, 0x04, 0xd9, 0x16, 0x50, 0x1d, 0x8c, 0x9f, 0xd5, 0xe3, 0xce, 0xfd, 0x47, 0x04, 0x27, 0x4d, 0xc2, 0xfa, 0x71, 0xd9, 0x0b, 0xb8, 0x65, 0xf4, 0x11, 0xf3, 0x08, 0xee, 0x81, 0xc8, 0x67, 0x99, 0x0b, 0x8d, 0x77, 0xa3, 0x4f, 0xb5, 0x9b, 0xdb, 0x26, 0xf1, 0x97, 0xeb, 0x04, 0x54, 0xeb, 0x80, 0x08, 0x1d, 0x1d, 0xf6, 0x3d, 0x1f, 0x5a, 0xb8,
|
||||
/* (2^260)P */ 0xb7, 0x9c, 0x9d, 0xee, 0xb9, 0x5c, 0xad, 0x0d, 0x9e, 0xfd, 0x60, 0x3c, 0x27, 0x4e, 0xa2, 0x95, 0xfb, 0x64, 0x7e, 0x79, 0x64, 0x87, 0x10, 0xb4, 0x73, 0xe0, 0x9d, 0x46, 0x4d, 0x3d, 0xee, 0x83, 0xe4, 0x16, 0x88, 0x97, 0xe6, 0x4d, 0xba, 0x70, 0xb6, 0x96, 0x7b, 0xff, 0x4b, 0xc8, 0xcf, 0x72, 0x83, 0x3e, 0x5b, 0x24, 0x2e, 0x57, 0xf1, 0x82,
|
||||
/* (2^261)P */ 0x30, 0x71, 0x40, 0x51, 0x4f, 0x44, 0xbb, 0xc7, 0xf0, 0x54, 0x6e, 0x9d, 0xeb, 0x15, 0xad, 0xf8, 0x61, 0x43, 0x5a, 0xef, 0xc0, 0xb1, 0x57, 0xae, 0x03, 0x40, 0xe8, 0x68, 0x6f, 0x03, 0x20, 0x4f, 0x8a, 0x51, 0x2a, 0x9e, 0xd2, 0x45, 0xaf, 0xb4, 0xf5, 0xd4, 0x95, 0x7f, 0x3d, 0x3d, 0xb7, 0xb6, 0x28, 0xc5, 0x08, 0x8b, 0x44, 0xd6, 0x3f, 0xe7,
|
||||
/* (2^262)P */ 0xa9, 0x52, 0x04, 0x67, 0xcb, 0x20, 0x63, 0xf8, 0x18, 0x01, 0x44, 0x21, 0x6a, 0x8a, 0x83, 0x48, 0xd4, 0xaf, 0x23, 0x0f, 0x35, 0x8d, 0xe5, 0x5a, 0xc4, 0x7c, 0x55, 0x46, 0x19, 0x5f, 0x35, 0xe0, 0x5d, 0x97, 0x4c, 0x2d, 0x04, 0xed, 0x59, 0xd4, 0xb0, 0xb2, 0xc6, 0xe3, 0x51, 0xe1, 0x38, 0xc6, 0x30, 0x49, 0x8f, 0xae, 0x61, 0x64, 0xce, 0xa8,
|
||||
/* (2^263)P */ 0x9b, 0x64, 0x83, 0x3c, 0xd3, 0xdf, 0xb9, 0x27, 0xe7, 0x5b, 0x7f, 0xeb, 0xf3, 0x26, 0xcf, 0xb1, 0x8f, 0xaf, 0x26, 0xc8, 0x48, 0xce, 0xa1, 0xac, 0x7d, 0x10, 0x34, 0x28, 0xe1, 0x1f, 0x69, 0x03, 0x64, 0x77, 0x61, 0xdd, 0x4a, 0x9b, 0x18, 0x47, 0xf8, 0xca, 0x63, 0xc9, 0x03, 0x2d, 0x20, 0x2a, 0x69, 0x6e, 0x42, 0xd0, 0xe7, 0xaa, 0xb5, 0xf3,
|
||||
/* (2^264)P */ 0xea, 0x31, 0x0c, 0x57, 0x0f, 0x3e, 0xe3, 0x35, 0xd8, 0x30, 0xa5, 0x6f, 0xdd, 0x95, 0x43, 0xc6, 0x66, 0x07, 0x4f, 0x34, 0xc3, 0x7e, 0x04, 0x10, 0x2d, 0xc4, 0x1c, 0x94, 0x52, 0x2e, 0x5b, 0x9a, 0x65, 0x2f, 0x91, 0xaa, 0x4f, 0x3c, 0xdc, 0x23, 0x18, 0xe1, 0x4f, 0x85, 0xcd, 0xf4, 0x8c, 0x51, 0xf7, 0xab, 0x4f, 0xdc, 0x15, 0x5c, 0x9e, 0xc5,
|
||||
/* (2^265)P */ 0x54, 0x57, 0x23, 0x17, 0xe7, 0x82, 0x2f, 0x04, 0x7d, 0xfe, 0xe7, 0x1f, 0xa2, 0x57, 0x79, 0xe9, 0x58, 0x9b, 0xbe, 0xc6, 0x16, 0x4a, 0x17, 0x50, 0x90, 0x4a, 0x34, 0x70, 0x87, 0x37, 0x01, 0x26, 0xd8, 0xa3, 0x5f, 0x07, 0x7c, 0xd0, 0x7d, 0x05, 0x8a, 0x93, 0x51, 0x2f, 0x99, 0xea, 0xcf, 0x00, 0xd8, 0xc7, 0xe6, 0x9b, 0x8c, 0x62, 0x45, 0x87,
|
||||
/* (2^266)P */ 0xc3, 0xfd, 0x29, 0x66, 0xe7, 0x30, 0x29, 0x77, 0xe0, 0x0d, 0x63, 0x5b, 0xe6, 0x90, 0x1a, 0x1e, 0x99, 0xc2, 0xa7, 0xab, 0xff, 0xa7, 0xbd, 0x79, 0x01, 0x97, 0xfd, 0x27, 0x1b, 0x43, 0x2b, 0xe6, 0xfe, 0x5e, 0xf1, 0xb9, 0x35, 0x38, 0x08, 0x25, 0x55, 0x90, 0x68, 0x2e, 0xc3, 0x67, 0x39, 0x9f, 0x2b, 0x2c, 0x70, 0x48, 0x8c, 0x47, 0xee, 0x56,
|
||||
/* (2^267)P */ 0xf7, 0x32, 0x70, 0xb5, 0xe6, 0x42, 0xfd, 0x0a, 0x39, 0x9b, 0x07, 0xfe, 0x0e, 0xf4, 0x47, 0xba, 0x6a, 0x3f, 0xf5, 0x2c, 0x15, 0xf3, 0x60, 0x3f, 0xb1, 0x83, 0x7b, 0x2e, 0x34, 0x58, 0x1a, 0x6e, 0x4a, 0x49, 0x05, 0x45, 0xca, 0xdb, 0x00, 0x01, 0x0c, 0x42, 0x5e, 0x60, 0x40, 0x5f, 0xd9, 0xc7, 0x3a, 0x9e, 0x1c, 0x8d, 0xab, 0x11, 0x55, 0x65,
|
||||
/* (2^268)P */ 0x87, 0x40, 0xb7, 0x0d, 0xaa, 0x34, 0x89, 0x90, 0x75, 0x6d, 0xa2, 0xfe, 0x3b, 0x6d, 0x5c, 0x39, 0x98, 0x10, 0x9e, 0x15, 0xc5, 0x35, 0xa2, 0x27, 0x23, 0x0a, 0x2d, 0x60, 0xe2, 0xa8, 0x7f, 0x3e, 0x77, 0x8f, 0xcc, 0x44, 0xcc, 0x30, 0x28, 0xe2, 0xf0, 0x04, 0x8c, 0xee, 0xe4, 0x5f, 0x68, 0x8c, 0xdf, 0x70, 0xbf, 0x31, 0xee, 0x2a, 0xfc, 0xce,
|
||||
/* (2^269)P */ 0x92, 0xf2, 0xa0, 0xd9, 0x58, 0x3b, 0x7c, 0x1a, 0x99, 0x46, 0x59, 0x54, 0x60, 0x06, 0x8d, 0x5e, 0xf0, 0x22, 0xa1, 0xed, 0x92, 0x8a, 0x4d, 0x76, 0x95, 0x05, 0x0b, 0xff, 0xfc, 0x9a, 0xd1, 0xcc, 0x05, 0xb9, 0x5e, 0x99, 0xe8, 0x2a, 0x76, 0x7b, 0xfd, 0xa6, 0xe2, 0xd1, 0x1a, 0xd6, 0x76, 0x9f, 0x2f, 0x0e, 0xd1, 0xa8, 0x77, 0x5a, 0x40, 0x5a,
|
||||
/* (2^270)P */ 0xff, 0xf9, 0x3f, 0xa9, 0xa6, 0x6c, 0x6d, 0x03, 0x8b, 0xa7, 0x10, 0x5d, 0x3f, 0xec, 0x3e, 0x1c, 0x0b, 0x6b, 0xa2, 0x6a, 0x22, 0xa9, 0x28, 0xd0, 0x66, 0xc9, 0xc2, 0x3d, 0x47, 0x20, 0x7d, 0xa6, 0x1d, 0xd8, 0x25, 0xb5, 0xf2, 0xf9, 0x70, 0x19, 0x6b, 0xf8, 0x43, 0x36, 0xc5, 0x1f, 0xe4, 0x5a, 0x4c, 0x13, 0xe4, 0x6d, 0x08, 0x0b, 0x1d, 0xb1,
|
||||
/* (2^271)P */ 0x3f, 0x20, 0x9b, 0xfb, 0xec, 0x7d, 0x31, 0xc5, 0xfc, 0x88, 0x0b, 0x30, 0xed, 0x36, 0xc0, 0x63, 0xb1, 0x7d, 0x10, 0xda, 0xb6, 0x2e, 0xad, 0xf3, 0xec, 0x94, 0xe7, 0xec, 0xb5, 0x9c, 0xfe, 0xf5, 0x35, 0xf0, 0xa2, 0x2d, 0x7f, 0xca, 0x6b, 0x67, 0x1a, 0xf6, 0xb3, 0xda, 0x09, 0x2a, 0xaa, 0xdf, 0xb1, 0xca, 0x9b, 0xfb, 0xeb, 0xb3, 0xcd, 0xc0,
|
||||
/* (2^272)P */ 0xcd, 0x4d, 0x89, 0x00, 0xa4, 0x3b, 0x48, 0xf0, 0x76, 0x91, 0x35, 0xa5, 0xf8, 0xc9, 0xb6, 0x46, 0xbc, 0xf6, 0x9a, 0x45, 0x47, 0x17, 0x96, 0x80, 0x5b, 0x3a, 0x28, 0x33, 0xf9, 0x5a, 0xef, 0x43, 0x07, 0xfe, 0x3b, 0xf4, 0x8e, 0x19, 0xce, 0xd2, 0x94, 0x4b, 0x6d, 0x8e, 0x67, 0x20, 0xc7, 0x4f, 0x2f, 0x59, 0x8e, 0xe1, 0xa1, 0xa9, 0xf9, 0x0e,
|
||||
/* (2^273)P */ 0xdc, 0x7b, 0xb5, 0x50, 0x2e, 0xe9, 0x7e, 0x8b, 0x78, 0xa1, 0x38, 0x96, 0x22, 0xc3, 0x61, 0x67, 0x6d, 0xc8, 0x58, 0xed, 0x41, 0x1d, 0x5d, 0x86, 0x98, 0x7f, 0x2f, 0x1b, 0x8d, 0x3e, 0xaa, 0xc1, 0xd2, 0x0a, 0xf3, 0xbf, 0x95, 0x04, 0xf3, 0x10, 0x3c, 0x2b, 0x7f, 0x90, 0x46, 0x04, 0xaa, 0x6a, 0xa9, 0x35, 0x76, 0xac, 0x49, 0xb5, 0x00, 0x45,
|
||||
/* (2^274)P */ 0xb1, 0x93, 0x79, 0x84, 0x4a, 0x2a, 0x30, 0x78, 0x16, 0xaa, 0xc5, 0x74, 0x06, 0xce, 0xa5, 0xa7, 0x32, 0x86, 0xe0, 0xf9, 0x10, 0xd2, 0x58, 0x76, 0xfb, 0x66, 0x49, 0x76, 0x3a, 0x90, 0xba, 0xb5, 0xcc, 0x99, 0xcd, 0x09, 0xc1, 0x9a, 0x74, 0x23, 0xdf, 0x0c, 0xfe, 0x99, 0x52, 0x80, 0xa3, 0x7c, 0x1c, 0x71, 0x5f, 0x2c, 0x49, 0x57, 0xf4, 0xf9,
|
||||
/* (2^275)P */ 0x6d, 0xbf, 0x52, 0xe6, 0x25, 0x98, 0xed, 0xcf, 0xe3, 0xbc, 0x08, 0xa2, 0x1a, 0x90, 0xae, 0xa0, 0xbf, 0x07, 0x15, 0xad, 0x0a, 0x9f, 0x3e, 0x47, 0x44, 0xc2, 0x10, 0x46, 0xa6, 0x7a, 0x9e, 0x2f, 0x57, 0xbc, 0xe2, 0xf0, 0x1d, 0xd6, 0x9a, 0x06, 0xed, 0xfc, 0x54, 0x95, 0x92, 0x15, 0xa2, 0xf7, 0x8d, 0x6b, 0xef, 0xb2, 0x05, 0xed, 0x5c, 0x63,
|
||||
/* (2^276)P */ 0xbc, 0x0b, 0x27, 0x3a, 0x3a, 0xf8, 0xe1, 0x48, 0x02, 0x7e, 0x27, 0xe6, 0x81, 0x62, 0x07, 0x73, 0x74, 0xe5, 0x52, 0xd7, 0xf8, 0x26, 0xca, 0x93, 0x4d, 0x3e, 0x9b, 0x55, 0x09, 0x8e, 0xe3, 0xd7, 0xa6, 0xe3, 0xb6, 0x2a, 0xa9, 0xb3, 0xb0, 0xa0, 0x8c, 0x01, 0xbb, 0x07, 0x90, 0x78, 0x6d, 0x6d, 0xe9, 0xf0, 0x7a, 0x90, 0xbd, 0xdc, 0x0c, 0x36,
|
||||
/* (2^277)P */ 0x7f, 0x20, 0x12, 0x0f, 0x40, 0x00, 0x53, 0xd8, 0x0c, 0x27, 0x47, 0x47, 0x22, 0x80, 0xfb, 0x62, 0xe4, 0xa7, 0xf7, 0xbd, 0x42, 0xa5, 0xc3, 0x2b, 0xb2, 0x7f, 0x50, 0xcc, 0xe2, 0xfb, 0xd5, 0xc0, 0x63, 0xdd, 0x24, 0x5f, 0x7c, 0x08, 0x91, 0xbf, 0x6e, 0x47, 0x44, 0xd4, 0x6a, 0xc0, 0xc3, 0x09, 0x39, 0x27, 0xdd, 0xc7, 0xca, 0x06, 0x29, 0x55,
|
||||
/* (2^278)P */ 0x76, 0x28, 0x58, 0xb0, 0xd2, 0xf3, 0x0f, 0x04, 0xe9, 0xc9, 0xab, 0x66, 0x5b, 0x75, 0x51, 0xdc, 0xe5, 0x8f, 0xe8, 0x1f, 0xdb, 0x03, 0x0f, 0xb0, 0x7d, 0xf9, 0x20, 0x64, 0x89, 0xe9, 0xdc, 0xe6, 0x24, 0xc3, 0xd5, 0xd2, 0x41, 0xa6, 0xe4, 0xe3, 0xc4, 0x79, 0x7c, 0x0f, 0xa1, 0x61, 0x2f, 0xda, 0xa4, 0xc9, 0xfd, 0xad, 0x5c, 0x65, 0x6a, 0xf3,
|
||||
/* (2^279)P */ 0xd5, 0xab, 0x72, 0x7a, 0x3b, 0x59, 0xea, 0xcf, 0xd5, 0x17, 0xd2, 0xb2, 0x5f, 0x2d, 0xab, 0xad, 0x9e, 0x88, 0x64, 0x55, 0x96, 0x6e, 0xf3, 0x44, 0xa9, 0x11, 0xf5, 0xf8, 0x3a, 0xf1, 0xcd, 0x79, 0x4c, 0x99, 0x6d, 0x23, 0x6a, 0xa0, 0xc2, 0x1a, 0x19, 0x45, 0xb5, 0xd8, 0x95, 0x2f, 0x49, 0xe9, 0x46, 0x39, 0x26, 0x60, 0x04, 0x15, 0x8b, 0xcc,
|
||||
/* (2^280)P */ 0x66, 0x0c, 0xf0, 0x54, 0x41, 0x02, 0x91, 0xab, 0xe5, 0x85, 0x8a, 0x44, 0xa6, 0x34, 0x96, 0x32, 0xc0, 0xdf, 0x6c, 0x41, 0x39, 0xd4, 0xc6, 0xe1, 0xe3, 0x81, 0xb0, 0x4c, 0x34, 0x4f, 0xe5, 0xf4, 0x35, 0x46, 0x1f, 0xeb, 0x75, 0xfd, 0x43, 0x37, 0x50, 0x99, 0xab, 0xad, 0xb7, 0x8c, 0xa1, 0x57, 0xcb, 0xe6, 0xce, 0x16, 0x2e, 0x85, 0xcc, 0xf9,
|
||||
/* (2^281)P */ 0x63, 0xd1, 0x3f, 0x9e, 0xa2, 0x17, 0x2e, 0x1d, 0x3e, 0xce, 0x48, 0x2d, 0xbb, 0x8f, 0x69, 0xc9, 0xa6, 0x3d, 0x4e, 0xfe, 0x09, 0x56, 0xb3, 0x02, 0x5f, 0x99, 0x97, 0x0c, 0x54, 0xda, 0x32, 0x97, 0x9b, 0xf4, 0x95, 0xf1, 0xad, 0xe3, 0x2b, 0x04, 0xa7, 0x9b, 0x3f, 0xbb, 0xe7, 0x87, 0x2e, 0x1f, 0x8b, 0x4b, 0x7a, 0xa4, 0x43, 0x0c, 0x0f, 0x35,
|
||||
/* (2^282)P */ 0x05, 0xdc, 0xe0, 0x2c, 0xa1, 0xc1, 0xd0, 0xf1, 0x1f, 0x4e, 0xc0, 0x6c, 0x35, 0x7b, 0xca, 0x8f, 0x8b, 0x02, 0xb1, 0xf7, 0xd6, 0x2e, 0xe7, 0x93, 0x80, 0x85, 0x18, 0x88, 0x19, 0xb9, 0xb4, 0x4a, 0xbc, 0xeb, 0x5a, 0x78, 0x38, 0xed, 0xc6, 0x27, 0x2a, 0x74, 0x76, 0xf0, 0x1b, 0x79, 0x92, 0x2f, 0xd2, 0x81, 0x98, 0xdf, 0xa9, 0x50, 0x19, 0xeb,
|
||||
/* (2^283)P */ 0xb5, 0xe7, 0xb4, 0x11, 0x3a, 0x81, 0xb6, 0xb4, 0xf8, 0xa2, 0xb3, 0x6c, 0xfc, 0x9d, 0xe0, 0xc0, 0xe0, 0x59, 0x7f, 0x05, 0x37, 0xef, 0x2c, 0xa9, 0x3a, 0x24, 0xac, 0x7b, 0x25, 0xa0, 0x55, 0xd2, 0x44, 0x82, 0x82, 0x6e, 0x64, 0xa3, 0x58, 0xc8, 0x67, 0xae, 0x26, 0xa7, 0x0f, 0x42, 0x63, 0xe1, 0x93, 0x01, 0x52, 0x19, 0xaf, 0x49, 0x3e, 0x33,
|
||||
/* (2^284)P */ 0x05, 0x85, 0xe6, 0x66, 0xaf, 0x5f, 0xdf, 0xbf, 0x9d, 0x24, 0x62, 0x60, 0x90, 0xe2, 0x4c, 0x7d, 0x4e, 0xc3, 0x74, 0x5d, 0x4f, 0x53, 0xf3, 0x63, 0x13, 0xf4, 0x74, 0x28, 0x6b, 0x7d, 0x57, 0x0c, 0x9d, 0x84, 0xa7, 0x1a, 0xff, 0xa0, 0x79, 0xdf, 0xfc, 0x65, 0x98, 0x8e, 0x22, 0x0d, 0x62, 0x7e, 0xf2, 0x34, 0x60, 0x83, 0x05, 0x14, 0xb1, 0xc1,
|
||||
/* (2^285)P */ 0x64, 0x22, 0xcc, 0xdf, 0x5c, 0xbc, 0x88, 0x68, 0x4c, 0xd9, 0xbc, 0x0e, 0xc9, 0x8b, 0xb4, 0x23, 0x52, 0xad, 0xb0, 0xb3, 0xf1, 0x17, 0xd8, 0x15, 0x04, 0x6b, 0x99, 0xf0, 0xc4, 0x7d, 0x48, 0x22, 0x4a, 0xf8, 0x6f, 0xaa, 0x88, 0x0d, 0xc5, 0x5e, 0xa9, 0x1c, 0x61, 0x3d, 0x95, 0xa9, 0x7b, 0x6a, 0x79, 0x33, 0x0a, 0x2b, 0x99, 0xe3, 0x4e, 0x48,
|
||||
/* (2^286)P */ 0x6b, 0x9b, 0x6a, 0x2a, 0xf1, 0x60, 0x31, 0xb4, 0x73, 0xd1, 0x87, 0x45, 0x9c, 0x15, 0x58, 0x4b, 0x91, 0x6d, 0x94, 0x1c, 0x41, 0x11, 0x4a, 0x83, 0xec, 0xaf, 0x65, 0xbc, 0x34, 0xaa, 0x26, 0xe2, 0xaf, 0xed, 0x46, 0x05, 0x4e, 0xdb, 0xc6, 0x4e, 0x10, 0x28, 0x4e, 0x72, 0xe5, 0x31, 0xa3, 0x20, 0xd7, 0xb1, 0x96, 0x64, 0xf6, 0xce, 0x08, 0x08,
|
||||
/* (2^287)P */ 0x16, 0xa9, 0x5c, 0x9f, 0x9a, 0xb4, 0xb8, 0xc8, 0x32, 0x78, 0xc0, 0x3a, 0xd9, 0x5f, 0x94, 0xac, 0x3a, 0x42, 0x1f, 0x43, 0xd6, 0x80, 0x47, 0x2c, 0xdc, 0x76, 0x27, 0xfa, 0x50, 0xe5, 0xa1, 0xe4, 0xc3, 0xcb, 0x61, 0x31, 0xe1, 0x2e, 0xde, 0x81, 0x3b, 0x77, 0x1c, 0x39, 0x3c, 0xdb, 0xda, 0x87, 0x4b, 0x84, 0x12, 0xeb, 0xdd, 0x54, 0xbf, 0xe7,
|
||||
/* (2^288)P */ 0xbf, 0xcb, 0x73, 0x21, 0x3d, 0x7e, 0x13, 0x8c, 0xa6, 0x34, 0x21, 0x2b, 0xa5, 0xe4, 0x9f, 0x8e, 0x9c, 0x01, 0x9c, 0x43, 0xd9, 0xc7, 0xb9, 0xf1, 0xbe, 0x7f, 0x45, 0x51, 0x97, 0xa1, 0x8e, 0x01, 0xf8, 0xbd, 0xd2, 0xbf, 0x81, 0x3a, 0x8b, 0xab, 0xe4, 0x89, 0xb7, 0xbd, 0xf2, 0xcd, 0xa9, 0x8a, 0x8a, 0xde, 0xfb, 0x8a, 0x55, 0x12, 0x7b, 0x17,
|
||||
/* (2^289)P */ 0x1b, 0x95, 0x58, 0x4d, 0xe6, 0x51, 0x31, 0x52, 0x1c, 0xd8, 0x15, 0x84, 0xb1, 0x0d, 0x36, 0x25, 0x88, 0x91, 0x46, 0x71, 0x42, 0x56, 0xe2, 0x90, 0x08, 0x9e, 0x77, 0x1b, 0xee, 0x22, 0x3f, 0xec, 0xee, 0x8c, 0x7b, 0x2e, 0x79, 0xc4, 0x6c, 0x07, 0xa1, 0x7e, 0x52, 0xf5, 0x26, 0x5c, 0x84, 0x2a, 0x50, 0x6e, 0x82, 0xb3, 0x76, 0xda, 0x35, 0x16,
|
||||
/* (2^290)P */ 0x0a, 0x6f, 0x99, 0x87, 0xc0, 0x7d, 0x8a, 0xb2, 0xca, 0xae, 0xe8, 0x65, 0x98, 0x0f, 0xb3, 0x44, 0xe1, 0xdc, 0x52, 0x79, 0x75, 0xec, 0x8f, 0x95, 0x87, 0x45, 0xd1, 0x32, 0x18, 0x55, 0x15, 0xce, 0x64, 0x9b, 0x08, 0x4f, 0x2c, 0xea, 0xba, 0x1c, 0x57, 0x06, 0x63, 0xc8, 0xb1, 0xfd, 0xc5, 0x67, 0xe7, 0x1f, 0x87, 0x9e, 0xde, 0x72, 0x7d, 0xec,
|
||||
/* (2^291)P */ 0x36, 0x8b, 0x4d, 0x2c, 0xc2, 0x46, 0xe8, 0x96, 0xac, 0x0b, 0x8c, 0xc5, 0x09, 0x10, 0xfc, 0xf2, 0xda, 0xea, 0x22, 0xb2, 0xd3, 0x89, 0xeb, 0xb2, 0x85, 0x0f, 0xff, 0x59, 0x50, 0x2c, 0x99, 0x5a, 0x1f, 0xec, 0x2a, 0x6f, 0xec, 0xcf, 0xe9, 0xce, 0x12, 0x6b, 0x19, 0xd8, 0xde, 0x9b, 0xce, 0x0e, 0x6a, 0xaa, 0xe1, 0x32, 0xea, 0x4c, 0xfe, 0x92,
|
||||
/* (2^292)P */ 0x5f, 0x17, 0x70, 0x53, 0x26, 0x03, 0x0b, 0xab, 0xd1, 0xc1, 0x42, 0x0b, 0xab, 0x2b, 0x3d, 0x31, 0xa4, 0xd5, 0x2b, 0x5e, 0x00, 0xd5, 0x9a, 0x22, 0x34, 0xe0, 0x53, 0x3f, 0x59, 0x7f, 0x2c, 0x6d, 0x72, 0x9a, 0xa4, 0xbe, 0x3d, 0x42, 0x05, 0x1b, 0xf2, 0x7f, 0x88, 0x56, 0xd1, 0x7c, 0x7d, 0x6b, 0x9f, 0x43, 0xfe, 0x65, 0x19, 0xae, 0x9c, 0x4c,
|
||||
/* (2^293)P */ 0xf3, 0x7c, 0x20, 0xa9, 0xfc, 0xf2, 0xf2, 0x3b, 0x3c, 0x57, 0x41, 0x94, 0xe5, 0xcc, 0x6a, 0x37, 0x5d, 0x09, 0xf2, 0xab, 0xc2, 0xca, 0x60, 0x38, 0x6b, 0x7a, 0xe1, 0x78, 0x2b, 0xc1, 0x1d, 0xe8, 0xfd, 0xbc, 0x3d, 0x5c, 0xa2, 0xdb, 0x49, 0x20, 0x79, 0xe6, 0x1b, 0x9b, 0x65, 0xd9, 0x6d, 0xec, 0x57, 0x1d, 0xd2, 0xe9, 0x90, 0xeb, 0x43, 0x7b,
|
||||
/* (2^294)P */ 0x2a, 0x8b, 0x2e, 0x19, 0x18, 0x10, 0xb8, 0x83, 0xe7, 0x7d, 0x2d, 0x9a, 0x3a, 0xe5, 0xd1, 0xe4, 0x7c, 0x38, 0xe5, 0x59, 0x2a, 0x6e, 0xd9, 0x01, 0x29, 0x3d, 0x23, 0xf7, 0x52, 0xba, 0x61, 0x04, 0x9a, 0xde, 0xc4, 0x31, 0x50, 0xeb, 0x1b, 0xaa, 0xde, 0x39, 0x58, 0xd8, 0x1b, 0x1e, 0xfc, 0x57, 0x9a, 0x28, 0x43, 0x9e, 0x97, 0x5e, 0xaa, 0xa3,
|
||||
/* (2^295)P */ 0x97, 0x0a, 0x74, 0xc4, 0x39, 0x99, 0x6b, 0x40, 0xc7, 0x3e, 0x8c, 0xa7, 0xb1, 0x4e, 0x9a, 0x59, 0x6e, 0x1c, 0xfe, 0xfc, 0x2a, 0x5e, 0x73, 0x2b, 0x8c, 0xa9, 0x71, 0xf5, 0xda, 0x6b, 0x15, 0xab, 0xf7, 0xbe, 0x2a, 0x44, 0x5f, 0xba, 0xae, 0x67, 0x93, 0xc5, 0x86, 0xc1, 0xb8, 0xdf, 0xdc, 0xcb, 0xd7, 0xff, 0xb1, 0x71, 0x7c, 0x6f, 0x88, 0xf8,
|
||||
/* (2^296)P */ 0x3f, 0x89, 0xb1, 0xbf, 0x24, 0x16, 0xac, 0x56, 0xfe, 0xdf, 0x94, 0x71, 0xbf, 0xd6, 0x57, 0x0c, 0xb4, 0x77, 0x37, 0xaa, 0x2a, 0x70, 0x76, 0x49, 0xaf, 0x0c, 0x97, 0x8e, 0x78, 0x2a, 0x67, 0xc9, 0x3b, 0x3d, 0x5b, 0x01, 0x2f, 0xda, 0xd5, 0xa8, 0xde, 0x02, 0xa9, 0xac, 0x76, 0x00, 0x0b, 0x46, 0xc6, 0x2d, 0xdc, 0x08, 0xf4, 0x10, 0x2c, 0xbe,
|
||||
/* (2^297)P */ 0xcb, 0x07, 0xf9, 0x91, 0xc6, 0xd5, 0x3e, 0x54, 0x63, 0xae, 0xfc, 0x10, 0xbe, 0x3a, 0x20, 0x73, 0x4e, 0x65, 0x0e, 0x2d, 0x86, 0x77, 0x83, 0x9d, 0xe2, 0x0a, 0xe9, 0xac, 0x22, 0x52, 0x76, 0xd4, 0x6e, 0xfa, 0xe0, 0x09, 0xef, 0x78, 0x82, 0x9f, 0x26, 0xf9, 0x06, 0xb5, 0xe7, 0x05, 0x0e, 0xf2, 0x46, 0x72, 0x93, 0xd3, 0x24, 0xbd, 0x87, 0x60,
|
||||
/* (2^298)P */ 0x14, 0x55, 0x84, 0x7b, 0x6c, 0x60, 0x80, 0x73, 0x8c, 0xbe, 0x2d, 0xd6, 0x69, 0xd6, 0x17, 0x26, 0x44, 0x9f, 0x88, 0xa2, 0x39, 0x7c, 0x89, 0xbc, 0x6d, 0x9e, 0x46, 0xb6, 0x68, 0x66, 0xea, 0xdc, 0x31, 0xd6, 0x21, 0x51, 0x9f, 0x28, 0x28, 0xaf, 0x9e, 0x47, 0x2c, 0x4c, 0x8f, 0xf3, 0xaf, 0x1f, 0xe4, 0xab, 0xac, 0xe9, 0x0c, 0x91, 0x3a, 0x61,
|
||||
/* (2^299)P */ 0xb0, 0x37, 0x55, 0x4b, 0xe9, 0xc3, 0xb1, 0xce, 0x42, 0xe6, 0xc5, 0x11, 0x7f, 0x2c, 0x11, 0xfc, 0x4e, 0x71, 0x17, 0x00, 0x74, 0x7f, 0xbf, 0x07, 0x4d, 0xfd, 0x40, 0xb2, 0x87, 0xb0, 0xef, 0x1f, 0x35, 0x2c, 0x2d, 0xd7, 0xe1, 0xe4, 0xad, 0x0e, 0x7f, 0x63, 0x66, 0x62, 0x23, 0x41, 0xf6, 0xc1, 0x14, 0xa6, 0xd7, 0xa9, 0x11, 0x56, 0x9d, 0x1b,
|
||||
/* (2^300)P */ 0x02, 0x82, 0x42, 0x18, 0x4f, 0x1b, 0xc9, 0x5d, 0x78, 0x5f, 0xee, 0xed, 0x01, 0x49, 0x8f, 0xf2, 0xa0, 0xe2, 0x6e, 0xbb, 0x6b, 0x04, 0x8d, 0xb2, 0x41, 0xae, 0xc8, 0x1b, 0x59, 0x34, 0xb8, 0x2a, 0xdb, 0x1f, 0xd2, 0x52, 0xdf, 0x3f, 0x35, 0x00, 0x8b, 0x61, 0xbc, 0x97, 0xa0, 0xc4, 0x77, 0xd1, 0xe4, 0x2c, 0x59, 0x68, 0xff, 0x30, 0xf2, 0xe2,
|
||||
/* (2^301)P */ 0x79, 0x08, 0xb1, 0xdb, 0x55, 0xae, 0xd0, 0xed, 0xda, 0xa0, 0xec, 0x6c, 0xae, 0x68, 0xf2, 0x0b, 0x61, 0xb3, 0xf5, 0x21, 0x69, 0x87, 0x0b, 0x03, 0xea, 0x8a, 0x15, 0xd9, 0x7e, 0xca, 0xf7, 0xcd, 0xf3, 0x33, 0xb3, 0x4c, 0x5b, 0x23, 0x4e, 0x6f, 0x90, 0xad, 0x91, 0x4b, 0x4f, 0x46, 0x37, 0xe5, 0xe8, 0xb7, 0xeb, 0xd5, 0xca, 0x34, 0x4e, 0x23,
|
||||
/* (2^302)P */ 0x09, 0x02, 0xdd, 0xfd, 0x70, 0xac, 0x56, 0x80, 0x36, 0x5e, 0x49, 0xd0, 0x3f, 0xc2, 0xe0, 0xba, 0x46, 0x7f, 0x5c, 0xf7, 0xc5, 0xbd, 0xd5, 0x55, 0x7d, 0x3f, 0xd5, 0x7d, 0x06, 0xdf, 0x27, 0x20, 0x4f, 0xe9, 0x30, 0xec, 0x1b, 0xa0, 0x0c, 0xd4, 0x2c, 0xe1, 0x2b, 0x65, 0x73, 0xea, 0x75, 0x35, 0xe8, 0xe6, 0x56, 0xd6, 0x07, 0x15, 0x99, 0xdf,
|
||||
/* (2^303)P */ 0x4e, 0x10, 0xb7, 0xd0, 0x63, 0x8c, 0xcf, 0x16, 0x00, 0x7c, 0x58, 0xdf, 0x86, 0xdc, 0x4e, 0xca, 0x9c, 0x40, 0x5a, 0x42, 0xfd, 0xec, 0x98, 0xa4, 0x42, 0x53, 0xae, 0x16, 0x9d, 0xfd, 0x75, 0x5a, 0x12, 0x56, 0x1e, 0xc6, 0x57, 0xcc, 0x79, 0x27, 0x96, 0x00, 0xcf, 0x80, 0x4f, 0x8a, 0x36, 0x5c, 0xbb, 0xe9, 0x12, 0xdb, 0xb6, 0x2b, 0xad, 0x96,
|
||||
/* (2^304)P */ 0x92, 0x32, 0x1f, 0xfd, 0xc6, 0x02, 0x94, 0x08, 0x1b, 0x60, 0x6a, 0x9f, 0x8b, 0xd6, 0xc8, 0xad, 0xd5, 0x1b, 0x27, 0x4e, 0xa4, 0x4d, 0x4a, 0x00, 0x10, 0x5f, 0x86, 0x11, 0xf5, 0xe3, 0x14, 0x32, 0x43, 0xee, 0xb9, 0xc7, 0xab, 0xf4, 0x6f, 0xe5, 0x66, 0x0c, 0x06, 0x0d, 0x96, 0x79, 0x28, 0xaf, 0x45, 0x2b, 0x56, 0xbe, 0xe4, 0x4a, 0x52, 0xd6,
|
||||
/* (2^305)P */ 0x15, 0x16, 0x69, 0xef, 0x60, 0xca, 0x82, 0x25, 0x0f, 0xc6, 0x30, 0xa0, 0x0a, 0xd1, 0x83, 0x29, 0xcd, 0xb6, 0x89, 0x6c, 0xf5, 0xb2, 0x08, 0x38, 0xe6, 0xca, 0x6b, 0x19, 0x93, 0xc6, 0x5f, 0x75, 0x8e, 0x60, 0x34, 0x23, 0xc4, 0x13, 0x17, 0x69, 0x55, 0xcc, 0x72, 0x9c, 0x2b, 0x6c, 0x80, 0xf4, 0x4b, 0x8b, 0xb6, 0x97, 0x65, 0x07, 0xb6, 0xfb,
|
||||
/* (2^306)P */ 0x01, 0x99, 0x74, 0x28, 0xa6, 0x67, 0xa3, 0xe5, 0x25, 0xfb, 0xdf, 0x82, 0x93, 0xe7, 0x35, 0x74, 0xce, 0xe3, 0x15, 0x1c, 0x1d, 0x79, 0x52, 0x84, 0x08, 0x04, 0x2f, 0x5c, 0xb8, 0xcd, 0x7f, 0x89, 0xb0, 0x39, 0x93, 0x63, 0xc9, 0x5d, 0x06, 0x01, 0x59, 0xf7, 0x7e, 0xf1, 0x4c, 0x3d, 0x12, 0x8d, 0x69, 0x1d, 0xb7, 0x21, 0x5e, 0x88, 0x82, 0xa2,
|
||||
/* (2^307)P */ 0x8e, 0x69, 0xaf, 0x9a, 0x41, 0x0d, 0x9d, 0xcf, 0x8e, 0x8d, 0x5c, 0x51, 0x6e, 0xde, 0x0e, 0x48, 0x23, 0x89, 0xe5, 0x37, 0x80, 0xd6, 0x9d, 0x72, 0x32, 0x26, 0x38, 0x2d, 0x63, 0xa0, 0xfa, 0xd3, 0x40, 0xc0, 0x8c, 0x68, 0x6f, 0x2b, 0x1e, 0x9a, 0x39, 0x51, 0x78, 0x74, 0x9a, 0x7b, 0x4a, 0x8f, 0x0c, 0xa0, 0x88, 0x60, 0xa5, 0x21, 0xcd, 0xc7,
|
||||
/* (2^308)P */ 0x3a, 0x7f, 0x73, 0x14, 0xbf, 0x89, 0x6a, 0x4c, 0x09, 0x5d, 0xf2, 0x93, 0x20, 0x2d, 0xc4, 0x29, 0x86, 0x06, 0x95, 0xab, 0x22, 0x76, 0x4c, 0x54, 0xe1, 0x7e, 0x80, 0x6d, 0xab, 0x29, 0x61, 0x87, 0x77, 0xf6, 0xc0, 0x3e, 0xda, 0xab, 0x65, 0x7e, 0x39, 0x12, 0xa1, 0x6b, 0x42, 0xf7, 0xc5, 0x97, 0x77, 0xec, 0x6f, 0x22, 0xbe, 0x44, 0xc7, 0x03,
|
||||
/* (2^309)P */ 0xa5, 0x23, 0x90, 0x41, 0xa3, 0xc5, 0x3e, 0xe0, 0xa5, 0x32, 0x49, 0x1f, 0x39, 0x78, 0xb1, 0xd8, 0x24, 0xea, 0xd4, 0x87, 0x53, 0x42, 0x51, 0xf4, 0xd9, 0x46, 0x25, 0x2f, 0x62, 0xa9, 0x90, 0x9a, 0x4a, 0x25, 0x8a, 0xd2, 0x10, 0xe7, 0x3c, 0xbc, 0x58, 0x8d, 0x16, 0x14, 0x96, 0xa4, 0x6f, 0xf8, 0x12, 0x69, 0x91, 0x73, 0xe2, 0xfa, 0xf4, 0x57,
|
||||
/* (2^310)P */ 0x51, 0x45, 0x3f, 0x96, 0xdc, 0x97, 0x38, 0xa6, 0x01, 0x63, 0x09, 0xea, 0xc2, 0x13, 0x30, 0xb0, 0x00, 0xb8, 0x0a, 0xce, 0xd1, 0x8f, 0x3e, 0x69, 0x62, 0x46, 0x33, 0x9c, 0xbf, 0x4b, 0xcb, 0x0c, 0x90, 0x1c, 0x45, 0xcf, 0x37, 0x5b, 0xf7, 0x4b, 0x5e, 0x95, 0xc3, 0x28, 0x9f, 0x08, 0x83, 0x53, 0x74, 0xab, 0x0c, 0xb4, 0xc0, 0xa1, 0xbc, 0x89,
|
||||
/* (2^311)P */ 0x06, 0xb1, 0x51, 0x15, 0x65, 0x60, 0x21, 0x17, 0x7a, 0x20, 0x65, 0xee, 0x12, 0x35, 0x4d, 0x46, 0xf4, 0xf8, 0xd0, 0xb1, 0xca, 0x09, 0x30, 0x08, 0x89, 0x23, 0x3b, 0xe7, 0xab, 0x8b, 0x77, 0xa6, 0xad, 0x25, 0xdd, 0xea, 0x3c, 0x7d, 0xa5, 0x24, 0xb3, 0xe8, 0xfa, 0xfb, 0xc9, 0xf2, 0x71, 0xe9, 0xfa, 0xf2, 0xdc, 0x54, 0xdd, 0x55, 0x2e, 0x2f,
|
||||
/* (2^312)P */ 0x7f, 0x96, 0x96, 0xfb, 0x52, 0x86, 0xcf, 0xea, 0x62, 0x18, 0xf1, 0x53, 0x1f, 0x61, 0x2a, 0x9f, 0x8c, 0x51, 0xca, 0x2c, 0xde, 0x6d, 0xce, 0xab, 0x58, 0x32, 0x0b, 0x33, 0x9b, 0x99, 0xb4, 0x5c, 0x88, 0x2a, 0x76, 0xcc, 0x3e, 0x54, 0x1e, 0x9d, 0xa2, 0x89, 0xe4, 0x19, 0xba, 0x80, 0xc8, 0x39, 0x32, 0x7f, 0x0f, 0xc7, 0x84, 0xbb, 0x43, 0x56,
|
||||
/* (2^313)P */ 0x9b, 0x07, 0xb4, 0x42, 0xa9, 0xa0, 0x78, 0x4f, 0x28, 0x70, 0x2b, 0x7e, 0x61, 0xe0, 0xdd, 0x02, 0x98, 0xfc, 0xed, 0x31, 0x80, 0xf1, 0x15, 0x52, 0x89, 0x23, 0xcd, 0x5d, 0x2b, 0xc5, 0x19, 0x32, 0xfb, 0x70, 0x50, 0x7a, 0x97, 0x6b, 0x42, 0xdb, 0xca, 0xdb, 0xc4, 0x59, 0x99, 0xe0, 0x12, 0x1f, 0x17, 0xba, 0x8b, 0xf0, 0xc4, 0x38, 0x5d, 0x27,
|
||||
/* (2^314)P */ 0x29, 0x1d, 0xdc, 0x2b, 0xf6, 0x5b, 0x04, 0x61, 0x36, 0x76, 0xa0, 0x56, 0x36, 0x6e, 0xd7, 0x24, 0x4d, 0xe7, 0xef, 0x44, 0xd2, 0xd5, 0x07, 0xcd, 0xc4, 0x9d, 0x80, 0x48, 0xc3, 0x38, 0xcf, 0xd8, 0xa3, 0xdd, 0xb2, 0x5e, 0xb5, 0x70, 0x15, 0xbb, 0x36, 0x85, 0x8a, 0xd7, 0xfb, 0x56, 0x94, 0x73, 0x9c, 0x81, 0xbe, 0xb1, 0x44, 0x28, 0xf1, 0x37,
|
||||
/* (2^315)P */ 0xbf, 0xcf, 0x5c, 0xd2, 0xe2, 0xea, 0xc2, 0xcd, 0x70, 0x7a, 0x9d, 0xcb, 0x81, 0xc1, 0xe9, 0xf1, 0x56, 0x71, 0x52, 0xf7, 0x1b, 0x87, 0xc6, 0xd8, 0xcc, 0xb2, 0x69, 0xf3, 0xb0, 0xbd, 0xba, 0x83, 0x12, 0x26, 0xc4, 0xce, 0x72, 0xde, 0x3b, 0x21, 0x28, 0x9e, 0x5a, 0x94, 0xf5, 0x04, 0xa3, 0xc8, 0x0f, 0x5e, 0xbc, 0x71, 0xf9, 0x0d, 0xce, 0xf5,
|
||||
/* (2^316)P */ 0x93, 0x97, 0x00, 0x85, 0xf4, 0xb4, 0x40, 0xec, 0xd9, 0x2b, 0x6c, 0xd6, 0x63, 0x9e, 0x93, 0x0a, 0x5a, 0xf4, 0xa7, 0x9a, 0xe3, 0x3c, 0xf0, 0x55, 0xd1, 0x96, 0x6c, 0xf5, 0x2a, 0xce, 0xd7, 0x95, 0x72, 0xbf, 0xc5, 0x0c, 0xce, 0x79, 0xa2, 0x0a, 0x78, 0xe0, 0x72, 0xd0, 0x66, 0x28, 0x05, 0x75, 0xd3, 0x23, 0x09, 0x91, 0xed, 0x7e, 0xc4, 0xbc,
|
||||
/* (2^317)P */ 0x77, 0xc2, 0x9a, 0xf7, 0xa6, 0xe6, 0x18, 0xb4, 0xe7, 0xf6, 0xda, 0xec, 0x44, 0x6d, 0xfb, 0x08, 0xee, 0x65, 0xa8, 0x92, 0x85, 0x1f, 0xba, 0x38, 0x93, 0x20, 0x5c, 0x4d, 0xd2, 0x18, 0x0f, 0x24, 0xbe, 0x1a, 0x96, 0x44, 0x7d, 0xeb, 0xb3, 0xda, 0x95, 0xf4, 0xaf, 0x6c, 0x06, 0x0f, 0x47, 0x37, 0xc8, 0x77, 0x63, 0xe1, 0x29, 0xef, 0xff, 0xa5,
|
||||
/* (2^318)P */ 0x16, 0x12, 0xd9, 0x47, 0x90, 0x22, 0x9b, 0x05, 0xf2, 0xa5, 0x9a, 0xae, 0x83, 0x98, 0xb5, 0xac, 0xab, 0x29, 0xaa, 0xdc, 0x5f, 0xde, 0xcd, 0xf7, 0x42, 0xad, 0x3b, 0x96, 0xd6, 0x3e, 0x6e, 0x52, 0x47, 0xb1, 0xab, 0x51, 0xde, 0x49, 0x7c, 0x87, 0x8d, 0x86, 0xe2, 0x70, 0x13, 0x21, 0x51, 0x1c, 0x0c, 0x25, 0xc1, 0xb0, 0xe6, 0x19, 0xcf, 0x12,
|
||||
/* (2^319)P */ 0xf0, 0xbc, 0x97, 0x8f, 0x4b, 0x2f, 0xd1, 0x1f, 0x8c, 0x57, 0xed, 0x3c, 0xf4, 0x26, 0x19, 0xbb, 0x60, 0xca, 0x24, 0xc5, 0xd9, 0x97, 0xe2, 0x5f, 0x76, 0x49, 0x39, 0x7e, 0x2d, 0x12, 0x21, 0x98, 0xda, 0xe6, 0xdb, 0xd2, 0xd8, 0x9f, 0x18, 0xd8, 0x83, 0x6c, 0xba, 0x89, 0x8d, 0x29, 0xfa, 0x46, 0x33, 0x8c, 0x28, 0xdf, 0x6a, 0xb3, 0x69, 0x28,
|
||||
/* (2^320)P */ 0x86, 0x17, 0xbc, 0xd6, 0x7c, 0xba, 0x1e, 0x83, 0xbb, 0x84, 0xb5, 0x8c, 0xad, 0xdf, 0xa1, 0x24, 0x81, 0x70, 0x40, 0x0f, 0xad, 0xad, 0x3b, 0x23, 0xd0, 0x93, 0xa0, 0x49, 0x5c, 0x4b, 0x51, 0xbe, 0x20, 0x49, 0x4e, 0xda, 0x2d, 0xd3, 0xad, 0x1b, 0x74, 0x08, 0x41, 0xf0, 0xef, 0x19, 0xe9, 0x45, 0x5d, 0x02, 0xae, 0x26, 0x25, 0xd9, 0xd1, 0xc2,
|
||||
/* (2^321)P */ 0x48, 0x81, 0x3e, 0xb2, 0x83, 0xf8, 0x4d, 0xb3, 0xd0, 0x4c, 0x75, 0xb3, 0xa0, 0x52, 0x26, 0xf2, 0xaf, 0x5d, 0x36, 0x70, 0x72, 0xd6, 0xb7, 0x88, 0x08, 0x69, 0xbd, 0x15, 0x25, 0xb1, 0x45, 0x1b, 0xb7, 0x0b, 0x5f, 0x71, 0x5d, 0x83, 0x49, 0xb9, 0x84, 0x3b, 0x7c, 0xc1, 0x50, 0x93, 0x05, 0x53, 0xe0, 0x61, 0xea, 0xc1, 0xef, 0xdb, 0x82, 0x97,
|
||||
/* (2^322)P */ 0x00, 0xd5, 0xc3, 0x3a, 0x4d, 0x8a, 0x23, 0x7a, 0xef, 0xff, 0x37, 0xef, 0xf3, 0xbc, 0xa9, 0xb6, 0xae, 0xd7, 0x3a, 0x7b, 0xfd, 0x3e, 0x8e, 0x9b, 0xab, 0x44, 0x54, 0x60, 0x28, 0x6c, 0xbf, 0x15, 0x24, 0x4a, 0x56, 0x60, 0x7f, 0xa9, 0x7a, 0x28, 0x59, 0x2c, 0x8a, 0xd1, 0x7d, 0x6b, 0x00, 0xfd, 0xa5, 0xad, 0xbc, 0x19, 0x3f, 0xcb, 0x73, 0xe0,
|
||||
/* (2^323)P */ 0xcf, 0x9e, 0x66, 0x06, 0x4d, 0x2b, 0xf5, 0x9c, 0xc2, 0x9d, 0x9e, 0xed, 0x5a, 0x5c, 0x2d, 0x00, 0xbf, 0x29, 0x90, 0x88, 0xe4, 0x5d, 0xfd, 0xe2, 0xf0, 0x38, 0xec, 0x4d, 0x26, 0xea, 0x54, 0xf0, 0x3c, 0x84, 0x10, 0x6a, 0xf9, 0x66, 0x9c, 0xe7, 0x21, 0xfd, 0x0f, 0xc7, 0x13, 0x50, 0x81, 0xb6, 0x50, 0xf9, 0x04, 0x7f, 0xa4, 0x37, 0x85, 0x14,
|
||||
/* (2^324)P */ 0xdb, 0x87, 0x49, 0xc7, 0xa8, 0x39, 0x0c, 0x32, 0x98, 0x0c, 0xb9, 0x1a, 0x1b, 0x4d, 0xe0, 0x8a, 0x9a, 0x8e, 0x8f, 0xab, 0x5a, 0x17, 0x3d, 0x04, 0x21, 0xce, 0x3e, 0x2c, 0xf9, 0xa3, 0x97, 0xe4, 0x77, 0x95, 0x0e, 0xb6, 0xa5, 0x15, 0xad, 0x3a, 0x1e, 0x46, 0x53, 0x17, 0x09, 0x83, 0x71, 0x4e, 0x86, 0x38, 0xd5, 0x23, 0x44, 0x16, 0x8d, 0xc8,
|
||||
/* (2^325)P */ 0x05, 0x5e, 0x99, 0x08, 0xbb, 0xc3, 0xc0, 0xb7, 0x6c, 0x12, 0xf2, 0xf3, 0xf4, 0x7c, 0x6a, 0x4d, 0x9e, 0xeb, 0x3d, 0xb9, 0x63, 0x94, 0xce, 0x81, 0xd8, 0x11, 0xcb, 0x55, 0x69, 0x4a, 0x20, 0x0b, 0x4c, 0x2e, 0x14, 0xb8, 0xd4, 0x6a, 0x7c, 0xf0, 0xed, 0xfc, 0x8f, 0xef, 0xa0, 0xeb, 0x6c, 0x01, 0xe2, 0xdc, 0x10, 0x22, 0xa2, 0x01, 0x85, 0x64,
|
||||
/* (2^326)P */ 0x58, 0xe1, 0x9c, 0x27, 0x55, 0xc6, 0x25, 0xa6, 0x7d, 0x67, 0x88, 0x65, 0x99, 0x6c, 0xcb, 0xdb, 0x27, 0x4f, 0x44, 0x29, 0xf5, 0x4a, 0x23, 0x10, 0xbc, 0x03, 0x3f, 0x36, 0x1e, 0xef, 0xb0, 0xba, 0x75, 0xe8, 0x74, 0x5f, 0x69, 0x3e, 0x26, 0x40, 0xb4, 0x2f, 0xdc, 0x43, 0xbf, 0xa1, 0x8b, 0xbd, 0xca, 0x6e, 0xc1, 0x6e, 0x21, 0x79, 0xa0, 0xd0,
|
||||
/* (2^327)P */ 0x78, 0x93, 0x4a, 0x2d, 0x22, 0x6e, 0x6e, 0x7d, 0x74, 0xd2, 0x66, 0x58, 0xce, 0x7b, 0x1d, 0x97, 0xb1, 0xf2, 0xda, 0x1c, 0x79, 0xfb, 0xba, 0xd1, 0xc0, 0xc5, 0x6e, 0xc9, 0x11, 0x89, 0xd2, 0x41, 0x8d, 0x70, 0xb9, 0xcc, 0xea, 0x6a, 0xb3, 0x45, 0xb6, 0x05, 0x2e, 0xf2, 0x17, 0xf1, 0x27, 0xb8, 0xed, 0x06, 0x1f, 0xdb, 0x9d, 0x1f, 0x69, 0x28,
|
||||
/* (2^328)P */ 0x93, 0x12, 0xa8, 0x11, 0xe1, 0x92, 0x30, 0x8d, 0xac, 0xe1, 0x1c, 0x60, 0x7c, 0xed, 0x2d, 0x2e, 0xd3, 0x03, 0x5c, 0x9c, 0xc5, 0xbd, 0x64, 0x4a, 0x8c, 0xba, 0x76, 0xfe, 0xc6, 0xc1, 0xea, 0xc2, 0x4f, 0xbe, 0x70, 0x3d, 0x64, 0xcf, 0x8e, 0x18, 0xcb, 0xcd, 0x57, 0xa7, 0xf7, 0x36, 0xa9, 0x6b, 0x3e, 0xb8, 0x69, 0xee, 0x47, 0xa2, 0x7e, 0xb2,
|
||||
/* (2^329)P */ 0x96, 0xaf, 0x3a, 0xf5, 0xed, 0xcd, 0xaf, 0xf7, 0x82, 0xaf, 0x59, 0x62, 0x0b, 0x36, 0x85, 0xf9, 0xaf, 0xd6, 0x38, 0xff, 0x87, 0x2e, 0x1d, 0x6c, 0x8b, 0xaf, 0x3b, 0xdf, 0x28, 0xa2, 0xd6, 0x4d, 0x80, 0x92, 0xc3, 0x0f, 0x34, 0xa8, 0xae, 0x69, 0x5d, 0x7b, 0x9d, 0xbc, 0xf5, 0xfd, 0x1d, 0xb1, 0x96, 0x55, 0x86, 0xe1, 0x5c, 0xb6, 0xac, 0xb9,
|
||||
/* (2^330)P */ 0x50, 0x9e, 0x37, 0x28, 0x7d, 0xa8, 0x33, 0x63, 0xda, 0x3f, 0x20, 0x98, 0x0e, 0x09, 0xa8, 0x77, 0x3b, 0x7a, 0xfc, 0x16, 0x85, 0x44, 0x64, 0x77, 0x65, 0x68, 0x92, 0x41, 0xc6, 0x1f, 0xdf, 0x27, 0xf9, 0xec, 0xa0, 0x61, 0x22, 0xea, 0x19, 0xe7, 0x75, 0x8b, 0x4e, 0xe5, 0x0f, 0xb7, 0xf7, 0xd2, 0x53, 0xf4, 0xdd, 0x4a, 0xaa, 0x78, 0x40, 0xb7,
|
||||
/* (2^331)P */ 0xd4, 0x89, 0xe3, 0x79, 0xba, 0xb6, 0xc3, 0xda, 0xe6, 0x78, 0x65, 0x7d, 0x6e, 0x22, 0x62, 0xb1, 0x3d, 0xea, 0x90, 0x84, 0x30, 0x5e, 0xd4, 0x39, 0x84, 0x78, 0xd9, 0x75, 0xd6, 0xce, 0x2a, 0x11, 0x29, 0x69, 0xa4, 0x5e, 0xaa, 0x2a, 0x98, 0x5a, 0xe5, 0x91, 0x8f, 0xb2, 0xfb, 0xda, 0x97, 0xe8, 0x83, 0x6f, 0x04, 0xb9, 0x5d, 0xaf, 0xe1, 0x9b,
|
||||
/* (2^332)P */ 0x8b, 0xe4, 0xe1, 0x48, 0x9c, 0xc4, 0x83, 0x89, 0xdf, 0x65, 0xd3, 0x35, 0x55, 0x13, 0xf4, 0x1f, 0x36, 0x92, 0x33, 0x38, 0xcb, 0xed, 0x15, 0xe6, 0x60, 0x2d, 0x25, 0xf5, 0x36, 0x60, 0x3a, 0x37, 0x9b, 0x71, 0x9d, 0x42, 0xb0, 0x14, 0xc8, 0xba, 0x62, 0xa3, 0x49, 0xb0, 0x88, 0xc1, 0x72, 0x73, 0xdd, 0x62, 0x40, 0xa9, 0x62, 0x88, 0x99, 0xca,
|
||||
/* (2^333)P */ 0x47, 0x7b, 0xea, 0xda, 0x46, 0x2f, 0x45, 0xc6, 0xe3, 0xb4, 0x4d, 0x8d, 0xac, 0x0b, 0x54, 0x22, 0x06, 0x31, 0x16, 0x66, 0x3e, 0xe4, 0x38, 0x12, 0xcd, 0xf3, 0xe7, 0x99, 0x37, 0xd9, 0x62, 0x24, 0x4b, 0x05, 0xf2, 0x58, 0xe6, 0x29, 0x4b, 0x0d, 0xf6, 0xc1, 0xba, 0xa0, 0x1e, 0x0f, 0xcb, 0x1f, 0xc6, 0x2b, 0x19, 0xfc, 0x82, 0x01, 0xd0, 0x86,
|
||||
/* (2^334)P */ 0xa2, 0xae, 0x77, 0x20, 0xfb, 0xa8, 0x18, 0xb4, 0x61, 0xef, 0xe8, 0x52, 0x79, 0xbb, 0x86, 0x90, 0x5d, 0x2e, 0x76, 0xed, 0x66, 0x60, 0x5d, 0x00, 0xb5, 0xa4, 0x00, 0x40, 0x89, 0xec, 0xd1, 0xd2, 0x0d, 0x26, 0xb9, 0x30, 0xb2, 0xd2, 0xb8, 0xe8, 0x0e, 0x56, 0xf9, 0x67, 0x94, 0x2e, 0x62, 0xe1, 0x79, 0x48, 0x2b, 0xa9, 0xfa, 0xea, 0xdb, 0x28,
|
||||
/* (2^335)P */ 0x35, 0xf1, 0xb0, 0x43, 0xbd, 0x27, 0xef, 0x18, 0x44, 0xa2, 0x04, 0xb4, 0x69, 0xa1, 0x97, 0x1f, 0x8c, 0x04, 0x82, 0x9b, 0x00, 0x6d, 0xf8, 0xbf, 0x7d, 0xc1, 0x5b, 0xab, 0xe8, 0xb2, 0x34, 0xbd, 0xaf, 0x7f, 0xb2, 0x0d, 0xf3, 0xed, 0xfc, 0x5b, 0x50, 0xee, 0xe7, 0x4a, 0x20, 0xd9, 0xf5, 0xc6, 0x9a, 0x97, 0x6d, 0x07, 0x2f, 0xb9, 0x31, 0x02,
|
||||
/* (2^336)P */ 0xf9, 0x54, 0x4a, 0xc5, 0x61, 0x7e, 0x1d, 0xa6, 0x0e, 0x1a, 0xa8, 0xd3, 0x8c, 0x36, 0x7d, 0xf1, 0x06, 0xb1, 0xac, 0x93, 0xcd, 0xe9, 0x8f, 0x61, 0x6c, 0x5d, 0x03, 0x23, 0xdf, 0x85, 0x53, 0x39, 0x63, 0x5e, 0xeb, 0xf3, 0xd3, 0xd3, 0x75, 0x97, 0x9b, 0x62, 0x9b, 0x01, 0xb3, 0x19, 0xd8, 0x2b, 0x36, 0xf2, 0x2c, 0x2c, 0x6f, 0x36, 0xc6, 0x3c,
|
||||
/* (2^337)P */ 0x05, 0x74, 0x43, 0x10, 0xb6, 0xb0, 0xf8, 0xbf, 0x02, 0x46, 0x9a, 0xee, 0xc1, 0xaf, 0xc1, 0xe5, 0x5a, 0x2e, 0xbb, 0xe1, 0xdc, 0xc6, 0xce, 0x51, 0x29, 0x50, 0xbf, 0x1b, 0xde, 0xff, 0xba, 0x4d, 0x8d, 0x8b, 0x7e, 0xe7, 0xbd, 0x5b, 0x8f, 0xbe, 0xe3, 0x75, 0x71, 0xff, 0x37, 0x05, 0x5a, 0x10, 0xeb, 0x54, 0x7e, 0x44, 0x72, 0x2c, 0xd4, 0xfc,
|
||||
/* (2^338)P */ 0x03, 0x12, 0x1c, 0xb2, 0x08, 0x90, 0xa1, 0x2d, 0x50, 0xa0, 0xad, 0x7f, 0x8d, 0xa6, 0x97, 0xc1, 0xbd, 0xdc, 0xc3, 0xa7, 0xad, 0x31, 0xdf, 0xb8, 0x03, 0x84, 0xc3, 0xb9, 0x29, 0x3d, 0x92, 0x2e, 0xc3, 0x90, 0x07, 0xe8, 0xa7, 0xc7, 0xbc, 0x61, 0xe9, 0x3e, 0xa0, 0x35, 0xda, 0x1d, 0xab, 0x48, 0xfe, 0x50, 0xc9, 0x25, 0x59, 0x23, 0x69, 0x3f,
|
||||
/* (2^339)P */ 0x8e, 0x91, 0xab, 0x6b, 0x91, 0x4f, 0x89, 0x76, 0x67, 0xad, 0xb2, 0x65, 0x9d, 0xad, 0x02, 0x36, 0xdc, 0xac, 0x96, 0x93, 0x97, 0x21, 0x14, 0xd0, 0xe8, 0x11, 0x60, 0x1e, 0xeb, 0x96, 0x06, 0xf2, 0x53, 0xf2, 0x6d, 0xb7, 0x93, 0x6f, 0x26, 0x91, 0x23, 0xe3, 0x34, 0x04, 0x92, 0x91, 0x37, 0x08, 0x50, 0xd6, 0x28, 0x09, 0x27, 0xa1, 0x0c, 0x00,
|
||||
/* (2^340)P */ 0x1f, 0xbb, 0x21, 0x26, 0x33, 0xcb, 0xa4, 0xd1, 0xee, 0x85, 0xf9, 0xd9, 0x3c, 0x90, 0xc3, 0xd1, 0x26, 0xa2, 0x25, 0x93, 0x43, 0x61, 0xed, 0x91, 0x6e, 0x54, 0x03, 0x2e, 0x42, 0x9d, 0xf7, 0xa6, 0x02, 0x0f, 0x2f, 0x9c, 0x7a, 0x8d, 0x12, 0xc2, 0x18, 0xfc, 0x41, 0xff, 0x85, 0x26, 0x1a, 0x44, 0x55, 0x0b, 0x89, 0xab, 0x6f, 0x62, 0x33, 0x8c,
|
||||
/* (2^341)P */ 0xe0, 0x3c, 0x5d, 0x70, 0x64, 0x87, 0x81, 0x35, 0xf2, 0x37, 0xa6, 0x24, 0x3e, 0xe0, 0x62, 0xd5, 0x71, 0xe7, 0x93, 0xfb, 0xac, 0xc3, 0xe7, 0xc7, 0x04, 0xe2, 0x70, 0xd3, 0x29, 0x5b, 0x21, 0xbf, 0xf4, 0x26, 0x5d, 0xf3, 0x95, 0xb4, 0x2a, 0x6a, 0x07, 0x55, 0xa6, 0x4b, 0x3b, 0x15, 0xf2, 0x25, 0x8a, 0x95, 0x3f, 0x63, 0x2f, 0x7a, 0x23, 0x96,
|
||||
/* (2^342)P */ 0x0d, 0x3d, 0xd9, 0x13, 0xa7, 0xb3, 0x5e, 0x67, 0xf7, 0x02, 0x23, 0xee, 0x84, 0xff, 0x99, 0xda, 0xb9, 0x53, 0xf8, 0xf0, 0x0e, 0x39, 0x2f, 0x3c, 0x64, 0x34, 0xe3, 0x09, 0xfd, 0x2b, 0x33, 0xc7, 0xfe, 0x62, 0x2b, 0x84, 0xdf, 0x2b, 0xd2, 0x7c, 0x26, 0x01, 0x70, 0x66, 0x5b, 0x85, 0xc2, 0xbe, 0x88, 0x37, 0xf1, 0x30, 0xac, 0xb8, 0x76, 0xa3,
|
||||
/* (2^343)P */ 0x6e, 0x01, 0xf0, 0x55, 0x35, 0xe4, 0xbd, 0x43, 0x62, 0x9d, 0xd6, 0x11, 0xef, 0x6f, 0xb8, 0x8c, 0xaa, 0x98, 0x87, 0xc6, 0x6d, 0xc4, 0xcc, 0x74, 0x92, 0x53, 0x4a, 0xdf, 0xe4, 0x08, 0x89, 0x17, 0xd0, 0x0f, 0xf4, 0x00, 0x60, 0x78, 0x08, 0x44, 0xb5, 0xda, 0x18, 0xed, 0x98, 0xc8, 0x61, 0x3d, 0x39, 0xdb, 0xcf, 0x1d, 0x49, 0x40, 0x65, 0x75,
|
||||
/* (2^344)P */ 0x8e, 0x10, 0xae, 0x5f, 0x06, 0xd2, 0x95, 0xfd, 0x20, 0x16, 0x49, 0x5b, 0x57, 0xbe, 0x22, 0x8b, 0x43, 0xfb, 0xe6, 0xcc, 0x26, 0xa5, 0x5d, 0xd3, 0x68, 0xc5, 0xf9, 0x5a, 0x86, 0x24, 0x87, 0x27, 0x05, 0xfd, 0xe2, 0xff, 0xb3, 0xa3, 0x7b, 0x37, 0x59, 0xc5, 0x4e, 0x14, 0x94, 0xf9, 0x3b, 0xcb, 0x7c, 0xed, 0xca, 0x1d, 0xb2, 0xac, 0x05, 0x4a,
|
||||
/* (2^345)P */ 0xf4, 0xd1, 0x81, 0xeb, 0x89, 0xbf, 0xfe, 0x1e, 0x41, 0x92, 0x29, 0xee, 0xe1, 0x43, 0xf5, 0x86, 0x1d, 0x2f, 0xbb, 0x1e, 0x84, 0x5d, 0x7b, 0x8d, 0xd5, 0xda, 0xee, 0x1e, 0x8a, 0xd0, 0x27, 0xf2, 0x60, 0x51, 0x59, 0x82, 0xf4, 0x84, 0x2b, 0x5b, 0x14, 0x2d, 0x81, 0x82, 0x3e, 0x2b, 0xb4, 0x6d, 0x51, 0x4f, 0xc5, 0xcb, 0xbf, 0x74, 0xe3, 0xb4,
|
||||
/* (2^346)P */ 0x19, 0x2f, 0x22, 0xb3, 0x04, 0x5f, 0x81, 0xca, 0x05, 0x60, 0xb9, 0xaa, 0xee, 0x0e, 0x2f, 0x48, 0x38, 0xf9, 0x91, 0xb4, 0x66, 0xe4, 0x57, 0x28, 0x54, 0x10, 0xe9, 0x61, 0x9d, 0xd4, 0x90, 0x75, 0xb1, 0x39, 0x23, 0xb6, 0xfc, 0x82, 0xe0, 0xfa, 0xbb, 0x5c, 0x6e, 0xc3, 0x44, 0x13, 0x00, 0x83, 0x55, 0x9e, 0x8e, 0x10, 0x61, 0x81, 0x91, 0x04,
|
||||
/* (2^347)P */ 0x5f, 0x2a, 0xd7, 0x81, 0xd9, 0x9c, 0xbb, 0x79, 0xbc, 0x62, 0x56, 0x98, 0x03, 0x5a, 0x18, 0x85, 0x2a, 0x9c, 0xd0, 0xfb, 0xd2, 0xb1, 0xaf, 0xef, 0x0d, 0x24, 0xc5, 0xfa, 0x39, 0xbb, 0x6b, 0xed, 0xa4, 0xdf, 0xe4, 0x87, 0xcd, 0x41, 0xd3, 0x72, 0x32, 0xc6, 0x28, 0x21, 0xb1, 0xba, 0x8b, 0xa3, 0x91, 0x79, 0x76, 0x22, 0x25, 0x10, 0x61, 0xd1,
|
||||
/* (2^348)P */ 0x73, 0xb5, 0x32, 0x97, 0xdd, 0xeb, 0xdd, 0x22, 0x22, 0xf1, 0x33, 0x3c, 0x77, 0x56, 0x7d, 0x6b, 0x48, 0x2b, 0x05, 0x81, 0x03, 0x03, 0x91, 0x9a, 0xe3, 0x5e, 0xd4, 0xee, 0x3f, 0xf8, 0xbb, 0x50, 0x21, 0x32, 0x4c, 0x4a, 0x58, 0x49, 0xde, 0x0c, 0xde, 0x30, 0x82, 0x3d, 0x92, 0xf0, 0x6c, 0xcc, 0x32, 0x3e, 0xd2, 0x78, 0x8a, 0x6e, 0x2c, 0xd0,
|
||||
/* (2^349)P */ 0xf0, 0xf7, 0xa1, 0x0b, 0xc1, 0x74, 0x85, 0xa8, 0xe9, 0xdd, 0x48, 0xa1, 0xc0, 0x16, 0xd8, 0x2b, 0x61, 0x08, 0xc2, 0x2b, 0x30, 0x26, 0x79, 0xce, 0x9e, 0xfd, 0x39, 0xd7, 0x81, 0xa4, 0x63, 0x8c, 0xd5, 0x74, 0xa0, 0x88, 0xfa, 0x03, 0x30, 0xe9, 0x7f, 0x2b, 0xc6, 0x02, 0xc9, 0x5e, 0xe4, 0xd5, 0x4d, 0x92, 0xd0, 0xf6, 0xf2, 0x5b, 0x79, 0x08,
|
||||
/* (2^350)P */ 0x34, 0x89, 0x81, 0x43, 0xd1, 0x94, 0x2c, 0x10, 0x54, 0x9b, 0xa0, 0xe5, 0x44, 0xe8, 0xc2, 0x2f, 0x3e, 0x0e, 0x74, 0xae, 0xba, 0xe2, 0xac, 0x85, 0x6b, 0xd3, 0x5c, 0x97, 0xf7, 0x90, 0xf1, 0x12, 0xc0, 0x03, 0xc8, 0x1f, 0x37, 0x72, 0x8c, 0x9b, 0x9c, 0x17, 0x96, 0x9d, 0xc7, 0xbf, 0xa3, 0x3f, 0x44, 0x3d, 0x87, 0x81, 0xbd, 0x81, 0xa6, 0x5f,
|
||||
/* (2^351)P */ 0xe4, 0xff, 0x78, 0x62, 0x82, 0x5b, 0x76, 0x58, 0xf5, 0x5b, 0xa6, 0xc4, 0x53, 0x11, 0x3b, 0x7b, 0xaa, 0x67, 0xf8, 0xea, 0x3b, 0x5d, 0x9a, 0x2e, 0x04, 0xeb, 0x4a, 0x24, 0xfb, 0x56, 0xf0, 0xa8, 0xd4, 0x14, 0xed, 0x0f, 0xfd, 0xc5, 0x26, 0x17, 0x2a, 0xf0, 0xb9, 0x13, 0x8c, 0xbd, 0x65, 0x14, 0x24, 0x95, 0x27, 0x12, 0x63, 0x2a, 0x09, 0x18,
|
||||
/* (2^352)P */ 0xe1, 0x5c, 0xe7, 0xe0, 0x00, 0x6a, 0x96, 0xf2, 0x49, 0x6a, 0x39, 0xa5, 0xe0, 0x17, 0x79, 0x4a, 0x63, 0x07, 0x62, 0x09, 0x61, 0x1b, 0x6e, 0xa9, 0xb5, 0x62, 0xb7, 0xde, 0xdf, 0x80, 0x4c, 0x5a, 0x99, 0x73, 0x59, 0x9d, 0xfb, 0xb1, 0x5e, 0xbe, 0xb8, 0xb7, 0x63, 0x93, 0xe8, 0xad, 0x5e, 0x1f, 0xae, 0x59, 0x1c, 0xcd, 0xb4, 0xc2, 0xb3, 0x8a,
|
||||
/* (2^353)P */ 0x78, 0x53, 0xa1, 0x4c, 0x70, 0x9c, 0x63, 0x7e, 0xb3, 0x12, 0x40, 0x5f, 0xbb, 0x23, 0xa7, 0xf7, 0x77, 0x96, 0x5b, 0x4d, 0x91, 0x10, 0x52, 0x85, 0x9e, 0xa5, 0x38, 0x0b, 0xfd, 0x25, 0x01, 0x4b, 0xfa, 0x4d, 0xd3, 0x3f, 0x78, 0x74, 0x42, 0xff, 0x62, 0x2d, 0x27, 0xdc, 0x9d, 0xd1, 0x29, 0x76, 0x2e, 0x78, 0xb3, 0x35, 0xfa, 0x15, 0xd5, 0x38,
|
||||
/* (2^354)P */ 0x8b, 0xc7, 0x43, 0xce, 0xf0, 0x5e, 0xf1, 0x0d, 0x02, 0x38, 0xe8, 0x82, 0xc9, 0x25, 0xad, 0x2d, 0x27, 0xa4, 0x54, 0x18, 0xb2, 0x30, 0x73, 0xa4, 0x41, 0x08, 0xe4, 0x86, 0xe6, 0x8c, 0xe9, 0x2a, 0x34, 0xb3, 0xd6, 0x61, 0x8f, 0x66, 0x26, 0x08, 0xb6, 0x06, 0x33, 0xaa, 0x12, 0xac, 0x72, 0xec, 0x2e, 0x52, 0xa3, 0x25, 0x3e, 0xd7, 0x62, 0xe8,
|
||||
/* (2^355)P */ 0xc4, 0xbb, 0x89, 0xc8, 0x40, 0xcc, 0x84, 0xec, 0x4a, 0xd9, 0xc4, 0x55, 0x78, 0x00, 0xcf, 0xd8, 0xe9, 0x24, 0x59, 0xdc, 0x5e, 0xf0, 0x66, 0xa1, 0x83, 0xae, 0x97, 0x18, 0xc5, 0x54, 0x27, 0xa2, 0x21, 0x52, 0x03, 0x31, 0x5b, 0x11, 0x67, 0xf6, 0x12, 0x00, 0x87, 0x2f, 0xff, 0x59, 0x70, 0x8f, 0x6d, 0x71, 0xab, 0xab, 0x24, 0xb8, 0xba, 0x35,
|
||||
/* (2^356)P */ 0x69, 0x43, 0xa7, 0x14, 0x06, 0x96, 0xe9, 0xc2, 0xe3, 0x2b, 0x45, 0x22, 0xc0, 0xd0, 0x2f, 0x34, 0xd1, 0x01, 0x99, 0xfc, 0x99, 0x38, 0xa1, 0x25, 0x2e, 0x59, 0x6c, 0x27, 0xc9, 0xeb, 0x7b, 0xdc, 0x4e, 0x26, 0x68, 0xba, 0xfa, 0xec, 0x02, 0x05, 0x64, 0x80, 0x30, 0x20, 0x5c, 0x26, 0x7f, 0xaf, 0x95, 0x17, 0x3d, 0x5c, 0x9e, 0x96, 0x96, 0xaf,
|
||||
/* (2^357)P */ 0xa6, 0xba, 0x21, 0x29, 0x32, 0xe2, 0x98, 0xde, 0x9b, 0x6d, 0x0b, 0x44, 0x91, 0xa8, 0x3e, 0xd4, 0xb8, 0x04, 0x6c, 0xf6, 0x04, 0x39, 0xbd, 0x52, 0x05, 0x15, 0x27, 0x78, 0x8e, 0x55, 0xac, 0x79, 0xc5, 0xe6, 0x00, 0x7f, 0x90, 0xa2, 0xdd, 0x07, 0x13, 0xe0, 0x24, 0x70, 0x5c, 0x0f, 0x4d, 0xa9, 0xf9, 0xae, 0xcb, 0x34, 0x10, 0x9d, 0x89, 0x9d,
|
||||
/* (2^358)P */ 0x12, 0xe0, 0xb3, 0x9f, 0xc4, 0x96, 0x1d, 0xcf, 0xed, 0x99, 0x64, 0x28, 0x8d, 0xc7, 0x31, 0x82, 0xee, 0x5e, 0x75, 0x48, 0xff, 0x3a, 0xf2, 0x09, 0x34, 0x03, 0x93, 0x52, 0x19, 0xb2, 0xc5, 0x81, 0x93, 0x45, 0x5e, 0x59, 0x21, 0x2b, 0xec, 0x89, 0xba, 0x36, 0x6e, 0xf9, 0x82, 0x75, 0x7e, 0x82, 0x3f, 0xaa, 0xe2, 0xe3, 0x3b, 0x94, 0xfd, 0x98,
|
||||
/* (2^359)P */ 0x7c, 0xdb, 0x75, 0x31, 0x61, 0xfb, 0x15, 0x28, 0x94, 0xd7, 0xc3, 0x5a, 0xa9, 0xa1, 0x0a, 0x66, 0x0f, 0x2b, 0x13, 0x3e, 0x42, 0xb5, 0x28, 0x3a, 0xca, 0x83, 0xf3, 0x61, 0x22, 0xf4, 0x40, 0xc5, 0xdf, 0xe7, 0x31, 0x9f, 0x7e, 0x51, 0x75, 0x06, 0x9d, 0x51, 0xc8, 0xe7, 0x9f, 0xc3, 0x71, 0x4f, 0x3d, 0x5b, 0xfb, 0xe9, 0x8e, 0x08, 0x40, 0x8e,
|
||||
/* (2^360)P */ 0xf7, 0x31, 0xad, 0x50, 0x5d, 0x25, 0x93, 0x73, 0x68, 0xf6, 0x7c, 0x89, 0x5a, 0x3d, 0x9f, 0x9b, 0x05, 0x82, 0xe7, 0x70, 0x4b, 0x19, 0xaa, 0xcf, 0xff, 0xde, 0x50, 0x8f, 0x2f, 0x69, 0xd3, 0xf0, 0x99, 0x51, 0x6b, 0x9d, 0xb6, 0x56, 0x6f, 0xf8, 0x4c, 0x74, 0x8b, 0x4c, 0x91, 0xf9, 0xa9, 0xb1, 0x3e, 0x07, 0xdf, 0x0b, 0x27, 0x8a, 0xb1, 0xed,
|
||||
/* (2^361)P */ 0xfb, 0x67, 0xd9, 0x48, 0xd2, 0xe4, 0x44, 0x9b, 0x43, 0x15, 0x8a, 0xeb, 0x00, 0x53, 0xad, 0x25, 0xc7, 0x7e, 0x19, 0x30, 0x87, 0xb7, 0xd5, 0x5f, 0x04, 0xf8, 0xaa, 0xdd, 0x57, 0xae, 0x34, 0x75, 0xe2, 0x84, 0x4b, 0x54, 0x60, 0x37, 0x95, 0xe4, 0xd3, 0xec, 0xac, 0xef, 0x47, 0x31, 0xa3, 0xc8, 0x31, 0x22, 0xdb, 0x26, 0xe7, 0x6a, 0xb5, 0xad,
|
||||
/* (2^362)P */ 0x44, 0x09, 0x5c, 0x95, 0xe4, 0x72, 0x3c, 0x1a, 0xd1, 0xac, 0x42, 0x51, 0x99, 0x6f, 0xfa, 0x1f, 0xf2, 0x22, 0xbe, 0xff, 0x7b, 0x66, 0xf5, 0x6c, 0xb3, 0x66, 0xc7, 0x4d, 0x78, 0x31, 0x83, 0x80, 0xf5, 0x41, 0xe9, 0x7f, 0xbe, 0xf7, 0x23, 0x49, 0x6b, 0x84, 0x4e, 0x7e, 0x47, 0x07, 0x6e, 0x74, 0xdf, 0xe5, 0x9d, 0x9e, 0x56, 0x2a, 0xc0, 0xbc,
|
||||
/* (2^363)P */ 0xac, 0x10, 0x80, 0x8c, 0x7c, 0xfa, 0x83, 0xdf, 0xb3, 0xd0, 0xc4, 0xbe, 0xfb, 0x9f, 0xac, 0xc9, 0xc3, 0x40, 0x95, 0x0b, 0x09, 0x23, 0xda, 0x63, 0x67, 0xcf, 0xe7, 0x9f, 0x7d, 0x7b, 0x6b, 0xe2, 0xe6, 0x6d, 0xdb, 0x87, 0x9e, 0xa6, 0xff, 0x6d, 0xab, 0xbd, 0xfb, 0x54, 0x84, 0x68, 0xcf, 0x89, 0xf1, 0xd0, 0xe2, 0x85, 0x61, 0xdc, 0x22, 0xd1,
|
||||
/* (2^364)P */ 0xa8, 0x48, 0xfb, 0x8c, 0x6a, 0x63, 0x01, 0x72, 0x43, 0x43, 0xeb, 0x21, 0xa3, 0x00, 0x8a, 0xc0, 0x87, 0x51, 0x9e, 0x86, 0x75, 0x16, 0x79, 0xf9, 0x6b, 0x11, 0x80, 0x62, 0xc2, 0x9d, 0xb8, 0x8c, 0x30, 0x8e, 0x8d, 0x03, 0x52, 0x7e, 0x31, 0x59, 0x38, 0xf9, 0x25, 0xc7, 0x0f, 0xc7, 0xa8, 0x2b, 0x5c, 0x80, 0xfa, 0x90, 0xa2, 0x63, 0xca, 0xe7,
|
||||
/* (2^365)P */ 0xf1, 0x5d, 0xb5, 0xd9, 0x20, 0x10, 0x7d, 0x0f, 0xc5, 0x50, 0x46, 0x07, 0xff, 0x02, 0x75, 0x2b, 0x4a, 0xf3, 0x39, 0x91, 0x72, 0xb7, 0xd5, 0xcc, 0x38, 0xb8, 0xe7, 0x36, 0x26, 0x5e, 0x11, 0x97, 0x25, 0xfb, 0x49, 0x68, 0xdc, 0xb4, 0x46, 0x87, 0x5c, 0xc2, 0x7f, 0xaa, 0x7d, 0x36, 0x23, 0xa6, 0xc6, 0x53, 0xec, 0xbc, 0x57, 0x47, 0xc1, 0x2b,
|
||||
/* (2^366)P */ 0x25, 0x5d, 0x7d, 0x95, 0xda, 0x0b, 0x8f, 0x78, 0x1e, 0x19, 0x09, 0xfa, 0x67, 0xe0, 0xa0, 0x17, 0x24, 0x76, 0x6c, 0x30, 0x1f, 0x62, 0x3d, 0xbe, 0x45, 0x70, 0xcc, 0xb6, 0x1e, 0x68, 0x06, 0x25, 0x68, 0x16, 0x1a, 0x33, 0x3f, 0x90, 0xc7, 0x78, 0x2d, 0x98, 0x3c, 0x2f, 0xb9, 0x2d, 0x94, 0x0b, 0xfb, 0x49, 0x56, 0x30, 0xd7, 0xc1, 0xe6, 0x48,
|
||||
/* (2^367)P */ 0x7a, 0xd1, 0xe0, 0x8e, 0x67, 0xfc, 0x0b, 0x50, 0x1f, 0x84, 0x98, 0xfa, 0xaf, 0xae, 0x2e, 0x31, 0x27, 0xcf, 0x3f, 0xf2, 0x6e, 0x8d, 0x81, 0x8f, 0xd2, 0x5f, 0xde, 0xd3, 0x5e, 0xe9, 0xe7, 0x13, 0x48, 0x83, 0x5a, 0x4e, 0x84, 0xd1, 0x58, 0xcf, 0x6b, 0x84, 0xdf, 0x13, 0x1d, 0x91, 0x85, 0xe8, 0xcb, 0x29, 0x79, 0xd2, 0xca, 0xac, 0x6a, 0x93,
|
||||
/* (2^368)P */ 0x53, 0x82, 0xce, 0x61, 0x96, 0x88, 0x6f, 0xe1, 0x4a, 0x4c, 0x1e, 0x30, 0x73, 0xe8, 0x74, 0xde, 0x40, 0x2b, 0xe0, 0xc4, 0xb5, 0xd8, 0x7c, 0x15, 0xe7, 0xe1, 0xb1, 0xe0, 0xd6, 0x88, 0xb1, 0x6a, 0x57, 0x19, 0x6a, 0x22, 0x66, 0x57, 0xf6, 0x8d, 0xfd, 0xc0, 0xf2, 0xa3, 0x03, 0x56, 0xfb, 0x2e, 0x75, 0x5e, 0xc7, 0x8e, 0x22, 0x96, 0x5c, 0x06,
|
||||
/* (2^369)P */ 0x98, 0x7e, 0xbf, 0x3e, 0xbf, 0x24, 0x9d, 0x15, 0xd3, 0xf6, 0xd3, 0xd2, 0xf0, 0x11, 0xf2, 0xdb, 0x36, 0x23, 0x38, 0xf7, 0x1d, 0x71, 0x20, 0xd2, 0x54, 0x7f, 0x1e, 0x24, 0x8f, 0xe2, 0xaa, 0xf7, 0x3f, 0x6b, 0x41, 0x4e, 0xdc, 0x0e, 0xec, 0xe8, 0x35, 0x0a, 0x08, 0x6d, 0x89, 0x5b, 0x32, 0x91, 0x01, 0xb6, 0xe0, 0x2c, 0xc6, 0xa1, 0xbe, 0xb4,
|
||||
/* (2^370)P */ 0x29, 0xf2, 0x1e, 0x1c, 0xdc, 0x68, 0x8a, 0x43, 0x87, 0x2c, 0x48, 0xb3, 0x9e, 0xed, 0xd2, 0x82, 0x46, 0xac, 0x2f, 0xef, 0x93, 0x34, 0x37, 0xca, 0x64, 0x8d, 0xc9, 0x06, 0x90, 0xbb, 0x78, 0x0a, 0x3c, 0x4c, 0xcf, 0x35, 0x7a, 0x0f, 0xf7, 0xa7, 0xf4, 0x2f, 0x45, 0x69, 0x3f, 0xa9, 0x5d, 0xce, 0x7b, 0x8a, 0x84, 0xc3, 0xae, 0xf4, 0xda, 0xd5,
|
||||
/* (2^371)P */ 0xca, 0xba, 0x95, 0x43, 0x05, 0x7b, 0x06, 0xd9, 0x5c, 0x0a, 0x18, 0x5f, 0x6a, 0x6a, 0xce, 0xc0, 0x3d, 0x95, 0x51, 0x0e, 0x1a, 0xbe, 0x85, 0x7a, 0xf2, 0x69, 0xec, 0xc0, 0x8c, 0xca, 0xa3, 0x32, 0x0a, 0x76, 0x50, 0xc6, 0x76, 0x61, 0x00, 0x89, 0xbf, 0x6e, 0x0f, 0x48, 0x90, 0x31, 0x93, 0xec, 0x34, 0x70, 0xf0, 0xc3, 0x8d, 0xf0, 0x0f, 0xb5,
|
||||
/* (2^372)P */ 0xbe, 0x23, 0xe2, 0x18, 0x99, 0xf1, 0xed, 0x8a, 0xf6, 0xc9, 0xac, 0xb8, 0x1e, 0x9a, 0x3c, 0x15, 0xae, 0xd7, 0x6d, 0xb3, 0x04, 0xee, 0x5b, 0x0d, 0x1e, 0x79, 0xb7, 0xf9, 0xf9, 0x8d, 0xad, 0xf9, 0x8f, 0x5a, 0x6a, 0x7b, 0xd7, 0x9b, 0xca, 0x62, 0xfe, 0x9c, 0xc0, 0x6f, 0x6d, 0x9d, 0x76, 0xa3, 0x69, 0xb9, 0x4c, 0xa1, 0xc4, 0x0c, 0x76, 0xaa,
|
||||
/* (2^373)P */ 0x1c, 0x06, 0xfe, 0x3f, 0x45, 0x70, 0xcd, 0x97, 0xa9, 0xa2, 0xb1, 0xd3, 0xf2, 0xa5, 0x0c, 0x49, 0x2c, 0x75, 0x73, 0x1f, 0xcf, 0x00, 0xaf, 0xd5, 0x2e, 0xde, 0x0d, 0x8f, 0x8f, 0x7c, 0xc4, 0x58, 0xce, 0xd4, 0xf6, 0x24, 0x19, 0x2e, 0xd8, 0xc5, 0x1d, 0x1a, 0x3f, 0xb8, 0x4f, 0xbc, 0x7d, 0xbd, 0x68, 0xe3, 0x81, 0x98, 0x1b, 0xa8, 0xc9, 0xd9,
|
||||
/* (2^374)P */ 0x39, 0x95, 0x78, 0x24, 0x6c, 0x38, 0xe4, 0xe7, 0xd0, 0x8d, 0xb9, 0x38, 0x71, 0x5e, 0xc1, 0x62, 0x80, 0xcc, 0xcb, 0x8c, 0x97, 0xca, 0xf8, 0xb9, 0xd9, 0x9c, 0xce, 0x72, 0x7b, 0x70, 0xee, 0x5f, 0xea, 0xa2, 0xdf, 0xa9, 0x14, 0x10, 0xf9, 0x6e, 0x59, 0x9f, 0x9c, 0xe0, 0x0c, 0xb2, 0x07, 0x97, 0xcd, 0xd2, 0x89, 0x16, 0xfd, 0x9c, 0xa8, 0xa5,
|
||||
/* (2^375)P */ 0x5a, 0x61, 0xf1, 0x59, 0x7c, 0x38, 0xda, 0xe2, 0x85, 0x99, 0x68, 0xe9, 0xc9, 0xf7, 0x32, 0x7e, 0xc4, 0xca, 0xb7, 0x11, 0x08, 0x69, 0x2b, 0x66, 0x02, 0xf7, 0x2e, 0x18, 0xc3, 0x8e, 0xe1, 0xf9, 0xc5, 0x19, 0x9a, 0x0a, 0x9c, 0x07, 0xba, 0xc7, 0x9c, 0x03, 0x34, 0x89, 0x99, 0x67, 0x0b, 0x16, 0x4b, 0x07, 0x36, 0x16, 0x36, 0x2c, 0xe2, 0xa1,
|
||||
/* (2^376)P */ 0x70, 0x10, 0x91, 0x27, 0xa8, 0x24, 0x8e, 0x29, 0x04, 0x6f, 0x79, 0x1f, 0xd3, 0xa5, 0x68, 0xd3, 0x0b, 0x7d, 0x56, 0x4d, 0x14, 0x57, 0x7b, 0x2e, 0x00, 0x9f, 0x9a, 0xfd, 0x6c, 0x63, 0x18, 0x81, 0xdb, 0x9d, 0xb7, 0xd7, 0xa4, 0x1e, 0xe8, 0x40, 0xf1, 0x4c, 0xa3, 0x01, 0xd5, 0x4b, 0x75, 0xea, 0xdd, 0x97, 0xfd, 0x5b, 0xb2, 0x66, 0x6a, 0x24,
|
||||
/* (2^377)P */ 0x72, 0x11, 0xfe, 0x73, 0x1b, 0xd3, 0xea, 0x7f, 0x93, 0x15, 0x15, 0x05, 0xfe, 0x40, 0xe8, 0x28, 0xd8, 0x50, 0x47, 0x66, 0xfa, 0xb7, 0xb5, 0x04, 0xba, 0x35, 0x1e, 0x32, 0x9f, 0x5f, 0x32, 0xba, 0x3d, 0xd1, 0xed, 0x9a, 0x76, 0xca, 0xa3, 0x3e, 0x77, 0xd8, 0xd8, 0x7c, 0x5f, 0x68, 0x42, 0xb5, 0x86, 0x7f, 0x3b, 0xc9, 0xc1, 0x89, 0x64, 0xda,
|
||||
/* (2^378)P */ 0xd5, 0xd4, 0x17, 0x31, 0xfc, 0x6a, 0xfd, 0xb8, 0xe8, 0xe5, 0x3e, 0x39, 0x06, 0xe4, 0xd1, 0x90, 0x2a, 0xca, 0xf6, 0x54, 0x6c, 0x1b, 0x2f, 0x49, 0x97, 0xb1, 0x2a, 0x82, 0x43, 0x3d, 0x1f, 0x8b, 0xe2, 0x47, 0xc5, 0x24, 0xa8, 0xd5, 0x53, 0x29, 0x7d, 0xc6, 0x87, 0xa6, 0x25, 0x3a, 0x64, 0xdd, 0x71, 0x08, 0x9e, 0xcd, 0xe9, 0x45, 0xc7, 0xba,
|
||||
/* (2^379)P */ 0x37, 0x72, 0x6d, 0x13, 0x7a, 0x8d, 0x04, 0x31, 0xe6, 0xe3, 0x9e, 0x36, 0x71, 0x3e, 0xc0, 0x1e, 0xe3, 0x71, 0xd3, 0x49, 0x4e, 0x4a, 0x36, 0x42, 0x68, 0x68, 0x61, 0xc7, 0x3c, 0xdb, 0x81, 0x49, 0xf7, 0x91, 0x4d, 0xea, 0x4c, 0x4f, 0x98, 0xc6, 0x7e, 0x60, 0x84, 0x4b, 0x6a, 0x37, 0xbb, 0x52, 0xf7, 0xce, 0x02, 0xe4, 0xad, 0xd1, 0x3c, 0xa7,
|
||||
/* (2^380)P */ 0x51, 0x06, 0x2d, 0xf8, 0x08, 0xe8, 0xf1, 0x0c, 0xe5, 0xa9, 0xac, 0x29, 0x73, 0x3b, 0xed, 0x98, 0x5f, 0x55, 0x08, 0x38, 0x51, 0x44, 0x36, 0x5d, 0xea, 0xc3, 0xb8, 0x0e, 0xa0, 0x4f, 0xd2, 0x79, 0xe9, 0x98, 0xc3, 0xf5, 0x00, 0xb9, 0x26, 0x27, 0x42, 0xa8, 0x07, 0xc1, 0x12, 0x31, 0xc1, 0xc3, 0x3c, 0x3b, 0x7a, 0x72, 0x97, 0xc2, 0x70, 0x3a,
|
||||
/* (2^381)P */ 0xf4, 0xb2, 0xba, 0x32, 0xbc, 0xa9, 0x2f, 0x87, 0xc7, 0x3c, 0x45, 0xcd, 0xae, 0xe2, 0x13, 0x6d, 0x3a, 0xf2, 0xf5, 0x66, 0x97, 0x29, 0xaf, 0x53, 0x9f, 0xda, 0xea, 0x14, 0xdf, 0x04, 0x98, 0x19, 0x95, 0x9e, 0x2a, 0x00, 0x5c, 0x9d, 0x1d, 0xf0, 0x39, 0x23, 0xff, 0xfc, 0xca, 0x36, 0xb7, 0xde, 0xdf, 0x37, 0x78, 0x52, 0x21, 0xfa, 0x19, 0x10,
|
||||
/* (2^382)P */ 0x50, 0x20, 0x73, 0x74, 0x62, 0x21, 0xf2, 0xf7, 0x9b, 0x66, 0x85, 0x34, 0x74, 0xd4, 0x9d, 0x60, 0xd7, 0xbc, 0xc8, 0x46, 0x3b, 0xb8, 0x80, 0x42, 0x15, 0x0a, 0x6c, 0x35, 0x1a, 0x69, 0xf0, 0x1d, 0x4b, 0x29, 0x54, 0x5a, 0x9a, 0x48, 0xec, 0x9f, 0x37, 0x74, 0x91, 0xd0, 0xd1, 0x9e, 0x00, 0xc2, 0x76, 0x56, 0xd6, 0xa0, 0x15, 0x14, 0x83, 0x59,
|
||||
/* (2^383)P */ 0xc2, 0xf8, 0x22, 0x20, 0x23, 0x07, 0xbd, 0x1d, 0x6f, 0x1e, 0x8c, 0x56, 0x06, 0x6a, 0x4b, 0x9f, 0xe2, 0xa9, 0x92, 0x46, 0x4b, 0x46, 0x59, 0xd7, 0xe1, 0xda, 0x14, 0x98, 0x07, 0x65, 0x7e, 0x28, 0x20, 0xf2, 0x9d, 0x4f, 0x36, 0x5c, 0x92, 0xe0, 0x9d, 0xfe, 0x3e, 0xda, 0xe4, 0x47, 0x19, 0x3c, 0x00, 0x7f, 0x22, 0xf2, 0x9e, 0x51, 0xae, 0x4d,
|
||||
/* (2^384)P */ 0xbe, 0x8c, 0x1b, 0x10, 0xb6, 0xad, 0xcc, 0xcc, 0xd8, 0x5e, 0x21, 0xa6, 0xfb, 0xf1, 0xf6, 0xbd, 0x0a, 0x24, 0x67, 0xb4, 0x57, 0x7a, 0xbc, 0xe8, 0xe9, 0xff, 0xee, 0x0a, 0x1f, 0xee, 0xbd, 0xc8, 0x44, 0xed, 0x2b, 0xbb, 0x55, 0x1f, 0xdd, 0x7c, 0xb3, 0xeb, 0x3f, 0x63, 0xa1, 0x28, 0x91, 0x21, 0xab, 0x71, 0xc6, 0x4c, 0xd0, 0xe9, 0xb0, 0x21,
|
||||
/* (2^385)P */ 0xad, 0xc9, 0x77, 0x2b, 0xee, 0x89, 0xa4, 0x7b, 0xfd, 0xf9, 0xf6, 0x14, 0xe4, 0xed, 0x1a, 0x16, 0x9b, 0x78, 0x41, 0x43, 0xa8, 0x83, 0x72, 0x06, 0x2e, 0x7c, 0xdf, 0xeb, 0x7e, 0xdd, 0xd7, 0x8b, 0xea, 0x9a, 0x2b, 0x03, 0xba, 0x57, 0xf3, 0xf1, 0xd9, 0xe5, 0x09, 0xc5, 0x98, 0x61, 0x1c, 0x51, 0x6d, 0x5d, 0x6e, 0xfb, 0x5e, 0x95, 0x9f, 0xb5,
|
||||
/* (2^386)P */ 0x23, 0xe2, 0x1e, 0x95, 0xa3, 0x5e, 0x42, 0x10, 0xc7, 0xc3, 0x70, 0xbf, 0x4b, 0x6b, 0x83, 0x36, 0x93, 0xb7, 0x68, 0x47, 0x88, 0x3a, 0x10, 0x88, 0x48, 0x7f, 0x8c, 0xae, 0x54, 0x10, 0x02, 0xa4, 0x52, 0x8f, 0x8d, 0xf7, 0x26, 0x4f, 0x50, 0xc3, 0x6a, 0xe2, 0x4e, 0x3b, 0x4c, 0xb9, 0x8a, 0x14, 0x15, 0x6d, 0x21, 0x29, 0xb3, 0x6e, 0x4e, 0xd0,
|
||||
/* (2^387)P */ 0x4c, 0x8a, 0x18, 0x3f, 0xb7, 0x20, 0xfd, 0x3e, 0x54, 0xca, 0x68, 0x3c, 0xea, 0x6f, 0xf4, 0x6b, 0xa2, 0xbd, 0x01, 0xbd, 0xfe, 0x08, 0xa8, 0xd8, 0xc2, 0x20, 0x36, 0x05, 0xcd, 0xe9, 0xf3, 0x9e, 0xfa, 0x85, 0x66, 0x8f, 0x4b, 0x1d, 0x8c, 0x64, 0x4f, 0xb8, 0xc6, 0x0f, 0x5b, 0x57, 0xd8, 0x24, 0x19, 0x5a, 0x14, 0x4b, 0x92, 0xd3, 0x96, 0xbc,
|
||||
/* (2^388)P */ 0xa9, 0x3f, 0xc9, 0x6c, 0xca, 0x64, 0x1e, 0x6f, 0xdf, 0x65, 0x7f, 0x9a, 0x47, 0x6b, 0x8a, 0x60, 0x31, 0xa6, 0x06, 0xac, 0x69, 0x30, 0xe6, 0xea, 0x63, 0x42, 0x26, 0x5f, 0xdb, 0xd0, 0xf2, 0x8e, 0x34, 0x0a, 0x3a, 0xeb, 0xf3, 0x79, 0xc8, 0xb7, 0x60, 0x56, 0x5c, 0x37, 0x95, 0x71, 0xf8, 0x7f, 0x49, 0x3e, 0x9e, 0x01, 0x26, 0x1e, 0x80, 0x9f,
|
||||
/* (2^389)P */ 0xf8, 0x16, 0x9a, 0xaa, 0xb0, 0x28, 0xb5, 0x8e, 0xd0, 0x60, 0xe5, 0x26, 0xa9, 0x47, 0xc4, 0x5c, 0xa9, 0x39, 0xfe, 0x0a, 0xd8, 0x07, 0x2b, 0xb3, 0xce, 0xf1, 0xea, 0x1a, 0xf4, 0x7b, 0x98, 0x31, 0x3d, 0x13, 0x29, 0x80, 0xe8, 0x0d, 0xcf, 0x56, 0x39, 0x86, 0x50, 0x0c, 0xb3, 0x18, 0xf4, 0xc5, 0xca, 0xf2, 0x6f, 0xcd, 0x8d, 0xd5, 0x02, 0xb0,
|
||||
/* (2^390)P */ 0xbf, 0x39, 0x3f, 0xac, 0x6d, 0x1a, 0x6a, 0xe4, 0x42, 0x24, 0xd6, 0x41, 0x9d, 0xb9, 0x5b, 0x46, 0x73, 0x93, 0x76, 0xaa, 0xb7, 0x37, 0x36, 0xa6, 0x09, 0xe5, 0x04, 0x3b, 0x66, 0xc4, 0x29, 0x3e, 0x41, 0xc2, 0xcb, 0xe5, 0x17, 0xd7, 0x34, 0x67, 0x1d, 0x2c, 0x12, 0xec, 0x24, 0x7a, 0x40, 0xa2, 0x45, 0x41, 0xf0, 0x75, 0xed, 0x43, 0x30, 0xc9,
|
||||
/* (2^391)P */ 0x80, 0xf6, 0x47, 0x5b, 0xad, 0x54, 0x02, 0xbc, 0xdd, 0xa4, 0xb2, 0xd7, 0x42, 0x95, 0xf2, 0x0d, 0x1b, 0xef, 0x37, 0xa7, 0xb4, 0x34, 0x04, 0x08, 0x71, 0x1b, 0xd3, 0xdf, 0xa1, 0xf0, 0x2b, 0xfa, 0xc0, 0x1f, 0xf3, 0x44, 0xb5, 0xc6, 0x47, 0x3d, 0x65, 0x67, 0x45, 0x4d, 0x2f, 0xde, 0x52, 0x73, 0xfc, 0x30, 0x01, 0x6b, 0xc1, 0x03, 0xd8, 0xd7,
|
||||
/* (2^392)P */ 0x1c, 0x67, 0x55, 0x3e, 0x01, 0x17, 0x0f, 0x3e, 0xe5, 0x34, 0x58, 0xfc, 0xcb, 0x71, 0x24, 0x74, 0x5d, 0x36, 0x1e, 0x89, 0x2a, 0x63, 0xf8, 0xf8, 0x9f, 0x50, 0x9f, 0x32, 0x92, 0x29, 0xd8, 0x1a, 0xec, 0x76, 0x57, 0x6c, 0x67, 0x12, 0x6a, 0x6e, 0xef, 0x97, 0x1f, 0xc3, 0x77, 0x60, 0x3c, 0x22, 0xcb, 0xc7, 0x04, 0x1a, 0x89, 0x2d, 0x10, 0xa6,
|
||||
/* (2^393)P */ 0x12, 0xf5, 0xa9, 0x26, 0x16, 0xd9, 0x3c, 0x65, 0x5d, 0x83, 0xab, 0xd1, 0x70, 0x6b, 0x1c, 0xdb, 0xe7, 0x86, 0x0d, 0xfb, 0xe7, 0xf8, 0x2a, 0x58, 0x6e, 0x7a, 0x66, 0x13, 0x53, 0x3a, 0x6f, 0x8d, 0x43, 0x5f, 0x14, 0x23, 0x14, 0xff, 0x3d, 0x52, 0x7f, 0xee, 0xbd, 0x7a, 0x34, 0x8b, 0x35, 0x24, 0xc3, 0x7a, 0xdb, 0xcf, 0x22, 0x74, 0x9a, 0x8f,
|
||||
/* (2^394)P */ 0xdb, 0x20, 0xfc, 0xe5, 0x39, 0x4e, 0x7d, 0x78, 0xee, 0x0b, 0xbf, 0x1d, 0x80, 0xd4, 0x05, 0x4f, 0xb9, 0xd7, 0x4e, 0x94, 0x88, 0x9a, 0x50, 0x78, 0x1a, 0x70, 0x8c, 0xcc, 0x25, 0xb6, 0x61, 0x09, 0xdc, 0x7b, 0xea, 0x3f, 0x7f, 0xea, 0x2a, 0x0d, 0x47, 0x1c, 0x8e, 0xa6, 0x5b, 0xd2, 0xa3, 0x61, 0x93, 0x3c, 0x68, 0x9f, 0x8b, 0xea, 0xb0, 0xcb,
|
||||
/* (2^395)P */ 0xff, 0x54, 0x02, 0x19, 0xae, 0x8b, 0x4c, 0x2c, 0x3a, 0xe0, 0xe4, 0xac, 0x87, 0xf7, 0x51, 0x45, 0x41, 0x43, 0xdc, 0xaa, 0xcd, 0xcb, 0xdc, 0x40, 0xe3, 0x44, 0x3b, 0x1d, 0x9e, 0x3d, 0xb9, 0x82, 0xcc, 0x7a, 0xc5, 0x12, 0xf8, 0x1e, 0xdd, 0xdb, 0x8d, 0xb0, 0x2a, 0xe8, 0xe6, 0x6c, 0x94, 0x3b, 0xb7, 0x2d, 0xba, 0x79, 0x3b, 0xb5, 0x86, 0xfb,
|
||||
/* (2^396)P */ 0x82, 0x88, 0x13, 0xdd, 0x6c, 0xcd, 0x85, 0x2b, 0x90, 0x86, 0xb7, 0xac, 0x16, 0xa6, 0x6e, 0x6a, 0x94, 0xd8, 0x1e, 0x4e, 0x41, 0x0f, 0xce, 0x81, 0x6a, 0xa8, 0x26, 0x56, 0x43, 0x52, 0x52, 0xe6, 0xff, 0x88, 0xcf, 0x47, 0x05, 0x1d, 0xff, 0xf3, 0xa0, 0x10, 0xb2, 0x97, 0x87, 0xeb, 0x47, 0xbb, 0xfa, 0x1f, 0xe8, 0x4c, 0xce, 0xc4, 0xcd, 0x93,
|
||||
/* (2^397)P */ 0xf4, 0x11, 0xf5, 0x8d, 0x89, 0x29, 0x79, 0xb3, 0x59, 0x0b, 0x29, 0x7d, 0x9c, 0x12, 0x4a, 0x65, 0x72, 0x3a, 0xf9, 0xec, 0x37, 0x18, 0x86, 0xef, 0x44, 0x07, 0x25, 0x74, 0x76, 0x53, 0xed, 0x51, 0x01, 0xc6, 0x28, 0xc5, 0xc3, 0x4a, 0x0f, 0x99, 0xec, 0xc8, 0x40, 0x5a, 0x83, 0x30, 0x79, 0xa2, 0x3e, 0x63, 0x09, 0x2d, 0x6f, 0x23, 0x54, 0x1c,
|
||||
/* (2^398)P */ 0x5c, 0x6f, 0x3b, 0x1c, 0x30, 0x77, 0x7e, 0x87, 0x66, 0x83, 0x2e, 0x7e, 0x85, 0x50, 0xfd, 0xa0, 0x7a, 0xc2, 0xf5, 0x0f, 0xc1, 0x64, 0xe7, 0x0b, 0xbd, 0x59, 0xa7, 0xe7, 0x65, 0x53, 0xc3, 0xf5, 0x55, 0x5b, 0xe1, 0x82, 0x30, 0x5a, 0x61, 0xcd, 0xa0, 0x89, 0x32, 0xdb, 0x87, 0xfc, 0x21, 0x8a, 0xab, 0x6d, 0x82, 0xa8, 0x42, 0x81, 0x4f, 0xf2,
|
||||
/* (2^399)P */ 0xb3, 0xeb, 0x88, 0x18, 0xf6, 0x56, 0x96, 0xbf, 0xba, 0x5d, 0x71, 0xa1, 0x5a, 0xd1, 0x04, 0x7b, 0xd5, 0x46, 0x01, 0x74, 0xfe, 0x15, 0x25, 0xb7, 0xff, 0x0c, 0x24, 0x47, 0xac, 0xfd, 0xab, 0x47, 0x32, 0xe1, 0x6a, 0x4e, 0xca, 0xcf, 0x7f, 0xdd, 0xf8, 0xd2, 0x4b, 0x3b, 0xf5, 0x17, 0xba, 0xba, 0x8b, 0xa1, 0xec, 0x28, 0x3f, 0x97, 0xab, 0x2a,
|
||||
/* (2^400)P */ 0x51, 0x38, 0xc9, 0x5e, 0xc6, 0xb3, 0x64, 0xf2, 0x24, 0x4d, 0x04, 0x7d, 0xc8, 0x39, 0x0c, 0x4a, 0xc9, 0x73, 0x74, 0x1b, 0x5c, 0xb2, 0xc5, 0x41, 0x62, 0xa0, 0x4c, 0x6d, 0x8d, 0x91, 0x9a, 0x7b, 0x88, 0xab, 0x9c, 0x7e, 0x23, 0xdb, 0x6f, 0xb5, 0x72, 0xd6, 0x47, 0x40, 0xef, 0x22, 0x58, 0x62, 0x19, 0x6c, 0x38, 0xba, 0x5b, 0x00, 0x30, 0x9f,
|
||||
/* (2^401)P */ 0x65, 0xbb, 0x3b, 0x9b, 0xe9, 0xae, 0xbf, 0xbe, 0xe4, 0x13, 0x95, 0xf3, 0xe3, 0x77, 0xcb, 0xe4, 0x9a, 0x22, 0xb5, 0x4a, 0x08, 0x9d, 0xb3, 0x9e, 0x27, 0xe0, 0x15, 0x6c, 0x9f, 0x7e, 0x9a, 0x5e, 0x15, 0x45, 0x25, 0x8d, 0x01, 0x0a, 0xd2, 0x2b, 0xbd, 0x48, 0x06, 0x0d, 0x18, 0x97, 0x4b, 0xdc, 0xbc, 0xf0, 0xcd, 0xb2, 0x52, 0x3c, 0xac, 0xf5,
|
||||
/* (2^402)P */ 0x3e, 0xed, 0x47, 0x6b, 0x5c, 0xf6, 0x76, 0xd0, 0xe9, 0x15, 0xa3, 0xcb, 0x36, 0x00, 0x21, 0xa3, 0x79, 0x20, 0xa5, 0x3e, 0x88, 0x03, 0xcb, 0x7e, 0x63, 0xbb, 0xed, 0xa9, 0x13, 0x35, 0x16, 0xaf, 0x2e, 0xb4, 0x70, 0x14, 0x93, 0xfb, 0xc4, 0x9b, 0xd8, 0xb1, 0xbe, 0x43, 0xd1, 0x85, 0xb8, 0x97, 0xef, 0xea, 0x88, 0xa1, 0x25, 0x52, 0x62, 0x75,
|
||||
/* (2^403)P */ 0x8e, 0x4f, 0xaa, 0x23, 0x62, 0x7e, 0x2b, 0x37, 0x89, 0x00, 0x11, 0x30, 0xc5, 0x33, 0x4a, 0x89, 0x8a, 0xe2, 0xfc, 0x5c, 0x6a, 0x75, 0xe5, 0xf7, 0x02, 0x4a, 0x9b, 0xf7, 0xb5, 0x6a, 0x85, 0x31, 0xd3, 0x5a, 0xcf, 0xc3, 0xf8, 0xde, 0x2f, 0xcf, 0xb5, 0x24, 0xf4, 0xe3, 0xa1, 0xad, 0x42, 0xae, 0x09, 0xb9, 0x2e, 0x04, 0x2d, 0x01, 0x22, 0x3f,
|
||||
/* (2^404)P */ 0x41, 0x16, 0xfb, 0x7d, 0x50, 0xfd, 0xb5, 0xba, 0x88, 0x24, 0xba, 0xfd, 0x3d, 0xb2, 0x90, 0x15, 0xb7, 0xfa, 0xa2, 0xe1, 0x4c, 0x7d, 0xb9, 0xc6, 0xff, 0x81, 0x57, 0xb6, 0xc2, 0x9e, 0xcb, 0xc4, 0x35, 0xbd, 0x01, 0xb7, 0xaa, 0xce, 0xd0, 0xe9, 0xb5, 0xd6, 0x72, 0xbf, 0xd2, 0xee, 0xc7, 0xac, 0x94, 0xff, 0x29, 0x57, 0x02, 0x49, 0x09, 0xad,
|
||||
/* (2^405)P */ 0x27, 0xa5, 0x78, 0x1b, 0xbf, 0x6b, 0xaf, 0x0b, 0x8c, 0xd9, 0xa8, 0x37, 0xb0, 0x67, 0x18, 0xb6, 0xc7, 0x05, 0x8a, 0x67, 0x03, 0x30, 0x62, 0x6e, 0x56, 0x82, 0xa9, 0x54, 0x3e, 0x0c, 0x4e, 0x07, 0xe1, 0x5a, 0x38, 0xed, 0xfa, 0xc8, 0x55, 0x6b, 0x08, 0xa3, 0x6b, 0x64, 0x2a, 0x15, 0xd6, 0x39, 0x6f, 0x47, 0x99, 0x42, 0x3f, 0x33, 0x84, 0x8f,
|
||||
/* (2^406)P */ 0xbc, 0x45, 0x29, 0x81, 0x0e, 0xa4, 0xc5, 0x72, 0x3a, 0x10, 0xe1, 0xc4, 0x1e, 0xda, 0xc3, 0xfe, 0xb0, 0xce, 0xd2, 0x13, 0x34, 0x67, 0x21, 0xc6, 0x7e, 0xf9, 0x8c, 0xff, 0x39, 0x50, 0xae, 0x92, 0x60, 0x35, 0x2f, 0x8b, 0x6e, 0xc9, 0xc1, 0x27, 0x3a, 0x94, 0x66, 0x3e, 0x26, 0x84, 0x93, 0xc8, 0x6c, 0xcf, 0xd2, 0x03, 0xa1, 0x10, 0xcf, 0xb7,
|
||||
/* (2^407)P */ 0x64, 0xda, 0x19, 0xf6, 0xc5, 0x73, 0x17, 0x44, 0x88, 0x81, 0x07, 0x0d, 0x34, 0xb2, 0x75, 0xf9, 0xd9, 0xe2, 0xe0, 0x8b, 0x71, 0xcf, 0x72, 0x34, 0x83, 0xb4, 0xce, 0xfc, 0xd7, 0x29, 0x09, 0x5a, 0x98, 0xbf, 0x14, 0xac, 0x77, 0x55, 0x38, 0x47, 0x5b, 0x0f, 0x40, 0x24, 0xe5, 0xa5, 0xa6, 0xac, 0x2d, 0xa6, 0xff, 0x9c, 0x73, 0xfe, 0x5c, 0x7e,
|
||||
/* (2^408)P */ 0x1e, 0x33, 0xcc, 0x68, 0xb2, 0xbc, 0x8c, 0x93, 0xaf, 0xcc, 0x38, 0xf8, 0xd9, 0x16, 0x72, 0x50, 0xac, 0xd9, 0xb5, 0x0b, 0x9a, 0xbe, 0x46, 0x7a, 0xf1, 0xee, 0xf1, 0xad, 0xec, 0x5b, 0x59, 0x27, 0x9c, 0x05, 0xa3, 0x87, 0xe0, 0x37, 0x2c, 0x83, 0xce, 0xb3, 0x65, 0x09, 0x8e, 0xc3, 0x9c, 0xbf, 0x6a, 0xa2, 0x00, 0xcc, 0x12, 0x36, 0xc5, 0x95,
|
||||
/* (2^409)P */ 0x36, 0x11, 0x02, 0x14, 0x9c, 0x3c, 0xeb, 0x2f, 0x23, 0x5b, 0x6b, 0x2b, 0x08, 0x54, 0x53, 0xac, 0xb2, 0xa3, 0xe0, 0x26, 0x62, 0x3c, 0xe4, 0xe1, 0x81, 0xee, 0x13, 0x3e, 0xa4, 0x97, 0xef, 0xf9, 0x92, 0x27, 0x01, 0xce, 0x54, 0x8b, 0x3e, 0x31, 0xbe, 0xa7, 0x88, 0xcf, 0x47, 0x99, 0x3c, 0x10, 0x6f, 0x60, 0xb3, 0x06, 0x4e, 0xee, 0x1b, 0xf0,
|
||||
/* (2^410)P */ 0x59, 0x49, 0x66, 0xcf, 0x22, 0xe6, 0xf6, 0x73, 0xfe, 0xa3, 0x1c, 0x09, 0xfa, 0x5f, 0x65, 0xa8, 0xf0, 0x82, 0xc2, 0xef, 0x16, 0x63, 0x6e, 0x79, 0x69, 0x51, 0x39, 0x07, 0x65, 0xc4, 0x81, 0xec, 0x73, 0x0f, 0x15, 0x93, 0xe1, 0x30, 0x33, 0xe9, 0x37, 0x86, 0x42, 0x4c, 0x1f, 0x9b, 0xad, 0xee, 0x3f, 0xf1, 0x2a, 0x8e, 0x6a, 0xa3, 0xc8, 0x35,
|
||||
/* (2^411)P */ 0x1e, 0x49, 0xf1, 0xdd, 0xd2, 0x9c, 0x8e, 0x78, 0xb2, 0x06, 0xe4, 0x6a, 0xab, 0x3a, 0xdc, 0xcd, 0xf4, 0xeb, 0xe1, 0xe7, 0x2f, 0xaa, 0xeb, 0x40, 0x31, 0x9f, 0xb9, 0xab, 0x13, 0xa9, 0x78, 0xbf, 0x38, 0x89, 0x0e, 0x85, 0x14, 0x8b, 0x46, 0x76, 0x14, 0xda, 0xcf, 0x33, 0xc8, 0x79, 0xd3, 0xd5, 0xa3, 0x6a, 0x69, 0x45, 0x70, 0x34, 0xc3, 0xe9,
|
||||
/* (2^412)P */ 0x5e, 0xe7, 0x78, 0xe9, 0x24, 0xcc, 0xe9, 0xf4, 0xc8, 0x6b, 0xe0, 0xfb, 0x3a, 0xbe, 0xcc, 0x42, 0x4a, 0x00, 0x22, 0xf8, 0xe6, 0x32, 0xbe, 0x6d, 0x18, 0x55, 0x60, 0xe9, 0x72, 0x69, 0x50, 0x56, 0xca, 0x04, 0x18, 0x38, 0xa1, 0xee, 0xd8, 0x38, 0x3c, 0xa7, 0x70, 0xe2, 0xb9, 0x4c, 0xa0, 0xc8, 0x89, 0x72, 0xcf, 0x49, 0x7f, 0xdf, 0xbc, 0x67,
|
||||
/* (2^413)P */ 0x1d, 0x17, 0xcb, 0x0b, 0xbd, 0xb2, 0x36, 0xe3, 0xa8, 0x99, 0x31, 0xb6, 0x26, 0x9c, 0x0c, 0x74, 0xaf, 0x4d, 0x24, 0x61, 0xcf, 0x31, 0x7b, 0xed, 0xdd, 0xc3, 0xf6, 0x32, 0x70, 0xfe, 0x17, 0xf6, 0x51, 0x37, 0x65, 0xce, 0x5d, 0xaf, 0xa5, 0x2f, 0x2a, 0xfe, 0x00, 0x71, 0x7c, 0x50, 0xbe, 0x21, 0xc7, 0xed, 0xc6, 0xfc, 0x67, 0xcf, 0x9c, 0xdd,
|
||||
/* (2^414)P */ 0x26, 0x3e, 0xf8, 0xbb, 0xd0, 0xb1, 0x01, 0xd8, 0xeb, 0x0b, 0x62, 0x87, 0x35, 0x4c, 0xde, 0xca, 0x99, 0x9c, 0x6d, 0xf7, 0xb6, 0xf0, 0x57, 0x0a, 0x52, 0x29, 0x6a, 0x3f, 0x26, 0x31, 0x04, 0x07, 0x2a, 0xc9, 0xfa, 0x9b, 0x0e, 0x62, 0x8e, 0x72, 0xf2, 0xad, 0xce, 0xb6, 0x35, 0x7a, 0xc1, 0xae, 0x35, 0xc7, 0xa3, 0x14, 0xcf, 0x0c, 0x28, 0xb7,
|
||||
/* (2^415)P */ 0xa6, 0xf1, 0x32, 0x3a, 0x20, 0xd2, 0x24, 0x97, 0xcf, 0x5d, 0x37, 0x99, 0xaf, 0x33, 0x7a, 0x5b, 0x7a, 0xcc, 0x4e, 0x41, 0x38, 0xb1, 0x4e, 0xad, 0xc9, 0xd9, 0x71, 0x7e, 0xb2, 0xf5, 0xd5, 0x01, 0x6c, 0x4d, 0xfd, 0xa1, 0xda, 0x03, 0x38, 0x9b, 0x3d, 0x92, 0x92, 0xf2, 0xca, 0xbf, 0x1f, 0x24, 0xa4, 0xbb, 0x30, 0x6a, 0x74, 0x56, 0xc8, 0xce,
|
||||
/* (2^416)P */ 0x27, 0xf4, 0xed, 0xc9, 0xc3, 0xb1, 0x79, 0x85, 0xbe, 0xf6, 0xeb, 0xf3, 0x55, 0xc7, 0xaa, 0xa6, 0xe9, 0x07, 0x5d, 0xf4, 0xeb, 0xa6, 0x81, 0xe3, 0x0e, 0xcf, 0xa3, 0xc1, 0xef, 0xe7, 0x34, 0xb2, 0x03, 0x73, 0x8a, 0x91, 0xf1, 0xad, 0x05, 0xc7, 0x0b, 0x43, 0x99, 0x12, 0x31, 0xc8, 0xc7, 0xc5, 0xa4, 0x3d, 0xcd, 0xe5, 0x4e, 0x6d, 0x24, 0xdd,
|
||||
/* (2^417)P */ 0x61, 0x54, 0xd0, 0x95, 0x2c, 0x45, 0x75, 0xac, 0xb5, 0x1a, 0x9d, 0x11, 0xeb, 0xed, 0x6b, 0x57, 0xa3, 0xe6, 0xcd, 0x77, 0xd4, 0x83, 0x8e, 0x39, 0xf1, 0x0f, 0x98, 0xcb, 0x40, 0x02, 0x6e, 0x10, 0x82, 0x9e, 0xb4, 0x93, 0x76, 0xd7, 0x97, 0xa3, 0x53, 0x12, 0x86, 0xc6, 0x15, 0x78, 0x73, 0x93, 0xe7, 0x7f, 0xcf, 0x1f, 0xbf, 0xcd, 0xd2, 0x7a,
|
||||
/* (2^418)P */ 0xc2, 0x21, 0xdc, 0xd5, 0x69, 0xff, 0xca, 0x49, 0x3a, 0xe1, 0xc3, 0x69, 0x41, 0x56, 0xc1, 0x76, 0x63, 0x24, 0xbd, 0x64, 0x1b, 0x3d, 0x92, 0xf9, 0x13, 0x04, 0x25, 0xeb, 0x27, 0xa6, 0xef, 0x39, 0x3a, 0x80, 0xe0, 0xf8, 0x27, 0xee, 0xc9, 0x49, 0x77, 0xef, 0x3f, 0x29, 0x3d, 0x5e, 0xe6, 0x66, 0x83, 0xd1, 0xf6, 0xfe, 0x9d, 0xbc, 0xf1, 0x96,
|
||||
/* (2^419)P */ 0x6b, 0xc6, 0x99, 0x26, 0x3c, 0xf3, 0x63, 0xf9, 0xc7, 0x29, 0x8c, 0x52, 0x62, 0x2d, 0xdc, 0x8a, 0x66, 0xce, 0x2c, 0xa7, 0xe4, 0xf0, 0xd7, 0x37, 0x17, 0x1e, 0xe4, 0xa3, 0x53, 0x7b, 0x29, 0x8e, 0x60, 0x99, 0xf9, 0x0c, 0x7c, 0x6f, 0xa2, 0xcc, 0x9f, 0x80, 0xdd, 0x5e, 0x46, 0xaa, 0x0d, 0x6c, 0xc9, 0x6c, 0xf7, 0x78, 0x5b, 0x38, 0xe3, 0x24,
|
||||
/* (2^420)P */ 0x4b, 0x75, 0x6a, 0x2f, 0x08, 0xe1, 0x72, 0x76, 0xab, 0x82, 0x96, 0xdf, 0x3b, 0x1f, 0x9b, 0xd8, 0xed, 0xdb, 0xcd, 0x15, 0x09, 0x5a, 0x1e, 0xb7, 0xc5, 0x26, 0x72, 0x07, 0x0c, 0x50, 0xcd, 0x3b, 0x4d, 0x3f, 0xa2, 0x67, 0xc2, 0x02, 0x61, 0x2e, 0x68, 0xe9, 0x6f, 0xf0, 0x21, 0x2a, 0xa7, 0x3b, 0x88, 0x04, 0x11, 0x64, 0x49, 0x0d, 0xb4, 0x46,
|
||||
/* (2^421)P */ 0x63, 0x85, 0xf3, 0xc5, 0x2b, 0x5a, 0x9f, 0xf0, 0x17, 0xcb, 0x45, 0x0a, 0xf3, 0x6e, 0x7e, 0xb0, 0x7c, 0xbc, 0xf0, 0x4f, 0x3a, 0xb0, 0xbc, 0x36, 0x36, 0x52, 0x51, 0xcb, 0xfe, 0x9a, 0xcb, 0xe8, 0x7e, 0x4b, 0x06, 0x7f, 0xaa, 0x35, 0xc8, 0x0e, 0x7a, 0x30, 0xa3, 0xb1, 0x09, 0xbb, 0x86, 0x4c, 0xbe, 0xb8, 0xbd, 0xe0, 0x32, 0xa5, 0xd4, 0xf7,
|
||||
/* (2^422)P */ 0x7d, 0x50, 0x37, 0x68, 0x4e, 0x22, 0xb2, 0x2c, 0xd5, 0x0f, 0x2b, 0x6d, 0xb1, 0x51, 0xf2, 0x82, 0xe9, 0x98, 0x7c, 0x50, 0xc7, 0x96, 0x7e, 0x0e, 0xdc, 0xb1, 0x0e, 0xb2, 0x63, 0x8c, 0x30, 0x37, 0x72, 0x21, 0x9c, 0x61, 0xc2, 0xa7, 0x33, 0xd9, 0xb2, 0x63, 0x93, 0xd1, 0x6b, 0x6a, 0x73, 0xa5, 0x58, 0x80, 0xff, 0x04, 0xc7, 0x83, 0x21, 0x29,
|
||||
/* (2^423)P */ 0x29, 0x04, 0xbc, 0x99, 0x39, 0xc9, 0x58, 0xc9, 0x6b, 0x17, 0xe8, 0x90, 0xb3, 0xe6, 0xa9, 0xb6, 0x28, 0x9b, 0xcb, 0x3b, 0x28, 0x90, 0x68, 0x71, 0xff, 0xcf, 0x08, 0x78, 0xc9, 0x8d, 0xa8, 0x4e, 0x43, 0xd1, 0x1c, 0x9e, 0xa4, 0xe3, 0xdf, 0xbf, 0x92, 0xf4, 0xf9, 0x41, 0xba, 0x4d, 0x1c, 0xf9, 0xdd, 0x74, 0x76, 0x1c, 0x6e, 0x3e, 0x94, 0x87,
|
||||
/* (2^424)P */ 0xe4, 0xda, 0xc5, 0xd7, 0xfb, 0x87, 0xc5, 0x4d, 0x6b, 0x19, 0xaa, 0xb9, 0xbc, 0x8c, 0xf2, 0x8a, 0xd8, 0x5d, 0xdb, 0x4d, 0xef, 0xa6, 0xf2, 0x65, 0xf1, 0x22, 0x9c, 0xf1, 0x46, 0x30, 0x71, 0x7c, 0xe4, 0x53, 0x8e, 0x55, 0x2e, 0x9c, 0x9a, 0x31, 0x2a, 0xc3, 0xab, 0x0f, 0xde, 0xe4, 0xbe, 0xd8, 0x96, 0x50, 0x6e, 0x0c, 0x54, 0x49, 0xe6, 0xec,
|
||||
/* (2^425)P */ 0x3c, 0x1d, 0x5a, 0xa5, 0xda, 0xad, 0xdd, 0xc2, 0xae, 0xac, 0x6f, 0x86, 0x75, 0x31, 0x91, 0x64, 0x45, 0x9d, 0xa4, 0xf0, 0x81, 0xf1, 0x0e, 0xba, 0x74, 0xaf, 0x7b, 0xcd, 0x6f, 0xfe, 0xac, 0x4e, 0xdb, 0x4e, 0x45, 0x35, 0x36, 0xc5, 0xc0, 0x6c, 0x3d, 0x64, 0xf4, 0xd8, 0x07, 0x62, 0xd1, 0xec, 0xf3, 0xfc, 0x93, 0xc9, 0x28, 0x0c, 0x2c, 0xf3,
|
||||
/* (2^426)P */ 0x0c, 0x69, 0x2b, 0x5c, 0xb6, 0x41, 0x69, 0xf1, 0xa4, 0xf1, 0x5b, 0x75, 0x4c, 0x42, 0x8b, 0x47, 0xeb, 0x69, 0xfb, 0xa8, 0xe6, 0xf9, 0x7b, 0x48, 0x50, 0xaf, 0xd3, 0xda, 0xb2, 0x35, 0x10, 0xb5, 0x5b, 0x40, 0x90, 0x39, 0xc9, 0x07, 0x06, 0x73, 0x26, 0x20, 0x95, 0x01, 0xa4, 0x2d, 0xf0, 0xe7, 0x2e, 0x00, 0x7d, 0x41, 0x09, 0x68, 0x13, 0xc4,
|
||||
/* (2^427)P */ 0xbe, 0x38, 0x78, 0xcf, 0xc9, 0x4f, 0x36, 0xca, 0x09, 0x61, 0x31, 0x3c, 0x57, 0x2e, 0xec, 0x17, 0xa4, 0x7d, 0x19, 0x2b, 0x9b, 0x5b, 0xbe, 0x8f, 0xd6, 0xc5, 0x2f, 0x86, 0xf2, 0x64, 0x76, 0x17, 0x00, 0x6e, 0x1a, 0x8c, 0x67, 0x1b, 0x68, 0xeb, 0x15, 0xa2, 0xd6, 0x09, 0x91, 0xdd, 0x23, 0x0d, 0x98, 0xb2, 0x10, 0x19, 0x55, 0x9b, 0x63, 0xf2,
|
||||
/* (2^428)P */ 0x51, 0x1f, 0x93, 0xea, 0x2a, 0x3a, 0xfa, 0x41, 0xc0, 0x57, 0xfb, 0x74, 0xa6, 0x65, 0x09, 0x56, 0x14, 0xb6, 0x12, 0xaa, 0xb3, 0x1a, 0x8d, 0x3b, 0x76, 0x91, 0x7a, 0x23, 0x56, 0x9c, 0x6a, 0xc0, 0xe0, 0x3c, 0x3f, 0xb5, 0x1a, 0xf4, 0x57, 0x71, 0x93, 0x2b, 0xb1, 0xa7, 0x70, 0x57, 0x22, 0x80, 0xf5, 0xb8, 0x07, 0x77, 0x87, 0x0c, 0xbe, 0x83,
|
||||
/* (2^429)P */ 0x07, 0x9b, 0x0e, 0x52, 0x38, 0x63, 0x13, 0x86, 0x6a, 0xa6, 0xb4, 0xd2, 0x60, 0x68, 0x9a, 0x99, 0x82, 0x0a, 0x04, 0x5f, 0x89, 0x7a, 0x1a, 0x2a, 0xae, 0x2d, 0x35, 0x0c, 0x1e, 0xad, 0xef, 0x4f, 0x9a, 0xfc, 0xc8, 0xd9, 0xcf, 0x9d, 0x48, 0x71, 0xa5, 0x55, 0x79, 0x73, 0x39, 0x1b, 0xd8, 0x73, 0xec, 0x9b, 0x03, 0x16, 0xd8, 0x82, 0xf7, 0x67,
|
||||
/* (2^430)P */ 0x52, 0x67, 0x42, 0x21, 0xc9, 0x40, 0x78, 0x82, 0x2b, 0x95, 0x2d, 0x20, 0x92, 0xd1, 0xe2, 0x61, 0x25, 0xb0, 0xc6, 0x9c, 0x20, 0x59, 0x8e, 0x28, 0x6f, 0xf3, 0xfd, 0xd3, 0xc1, 0x32, 0x43, 0xc9, 0xa6, 0x08, 0x7a, 0x77, 0x9c, 0x4c, 0x8c, 0x33, 0x71, 0x13, 0x69, 0xe3, 0x52, 0x30, 0xa7, 0xf5, 0x07, 0x67, 0xac, 0xad, 0x46, 0x8a, 0x26, 0x25,
|
||||
/* (2^431)P */ 0xda, 0x86, 0xc4, 0xa2, 0x71, 0x56, 0xdd, 0xd2, 0x48, 0xd3, 0xde, 0x42, 0x63, 0x01, 0xa7, 0x2c, 0x92, 0x83, 0x6f, 0x2e, 0xd8, 0x1e, 0x3f, 0xc1, 0xc5, 0x42, 0x4e, 0x34, 0x19, 0x54, 0x6e, 0x35, 0x2c, 0x51, 0x2e, 0xfd, 0x0f, 0x9a, 0x45, 0x66, 0x5e, 0x4a, 0x83, 0xda, 0x0a, 0x53, 0x68, 0x63, 0xfa, 0xce, 0x47, 0x20, 0xd3, 0x34, 0xba, 0x0d,
|
||||
/* (2^432)P */ 0xd0, 0xe9, 0x64, 0xa4, 0x61, 0x4b, 0x86, 0xe5, 0x93, 0x6f, 0xda, 0x0e, 0x31, 0x7e, 0x6e, 0xe3, 0xc6, 0x73, 0xd8, 0xa3, 0x08, 0x57, 0x52, 0xcd, 0x51, 0x63, 0x1d, 0x9f, 0x93, 0x00, 0x62, 0x91, 0x26, 0x21, 0xa7, 0xdd, 0x25, 0x0f, 0x09, 0x0d, 0x35, 0xad, 0xcf, 0x11, 0x8e, 0x6e, 0xe8, 0xae, 0x1d, 0x95, 0xcb, 0x88, 0xf8, 0x70, 0x7b, 0x91,
|
||||
/* (2^433)P */ 0x0c, 0x19, 0x5c, 0xd9, 0x8d, 0xda, 0x9d, 0x2c, 0x90, 0x54, 0x65, 0xe8, 0xb6, 0x35, 0x50, 0xae, 0xea, 0xae, 0x43, 0xb7, 0x1e, 0x99, 0x8b, 0x4c, 0x36, 0x4e, 0xe4, 0x1e, 0xc4, 0x64, 0x43, 0xb6, 0xeb, 0xd4, 0xe9, 0x60, 0x22, 0xee, 0xcf, 0xb8, 0x52, 0x1b, 0xf0, 0x04, 0xce, 0xbc, 0x2b, 0xf0, 0xbe, 0xcd, 0x44, 0x74, 0x1e, 0x1f, 0x63, 0xf9,
|
||||
/* (2^434)P */ 0xe1, 0x3f, 0x95, 0x94, 0xb2, 0xb6, 0x31, 0xa9, 0x1b, 0xdb, 0xfd, 0x0e, 0xdb, 0xdd, 0x1a, 0x22, 0x78, 0x60, 0x9f, 0x75, 0x5f, 0x93, 0x06, 0x0c, 0xd8, 0xbb, 0xa2, 0x85, 0x2b, 0x5e, 0xc0, 0x9b, 0xa8, 0x5d, 0xaf, 0x93, 0x91, 0x91, 0x47, 0x41, 0x1a, 0xfc, 0xb4, 0x51, 0x85, 0xad, 0x69, 0x4d, 0x73, 0x69, 0xd5, 0x4e, 0x82, 0xfb, 0x66, 0xcb,
|
||||
/* (2^435)P */ 0x7c, 0xbe, 0xc7, 0x51, 0xc4, 0x74, 0x6e, 0xab, 0xfd, 0x41, 0x4f, 0x76, 0x4f, 0x24, 0x03, 0xd6, 0x2a, 0xb7, 0x42, 0xb4, 0xda, 0x41, 0x2c, 0x82, 0x48, 0x4c, 0x7f, 0x6f, 0x25, 0x5d, 0x36, 0xd4, 0x69, 0xf5, 0xef, 0x02, 0x81, 0xea, 0x6f, 0x19, 0x69, 0xe8, 0x6f, 0x5b, 0x2f, 0x14, 0x0e, 0x6f, 0x89, 0xb4, 0xb5, 0xd8, 0xae, 0xef, 0x7b, 0x87,
|
||||
/* (2^436)P */ 0xe9, 0x91, 0xa0, 0x8b, 0xc9, 0xe0, 0x01, 0x90, 0x37, 0xc1, 0x6f, 0xdc, 0x5e, 0xf7, 0xbf, 0x43, 0x00, 0xaa, 0x10, 0x76, 0x76, 0x18, 0x6e, 0x19, 0x1e, 0x94, 0x50, 0x11, 0x0a, 0xd1, 0xe2, 0xdb, 0x08, 0x21, 0xa0, 0x1f, 0xdb, 0x54, 0xfe, 0xea, 0x6e, 0xa3, 0x68, 0x56, 0x87, 0x0b, 0x22, 0x4e, 0x66, 0xf3, 0x82, 0x82, 0x00, 0xcd, 0xd4, 0x12,
|
||||
/* (2^437)P */ 0x25, 0x8e, 0x24, 0x77, 0x64, 0x4c, 0xe0, 0xf8, 0x18, 0xc0, 0xdc, 0xc7, 0x1b, 0x35, 0x65, 0xde, 0x67, 0x41, 0x5e, 0x6f, 0x90, 0x82, 0xa7, 0x2e, 0x6d, 0xf1, 0x47, 0xb4, 0x92, 0x9c, 0xfd, 0x6a, 0x9a, 0x41, 0x36, 0x20, 0x24, 0x58, 0xc3, 0x59, 0x07, 0x9a, 0xfa, 0x9f, 0x03, 0xcb, 0xc7, 0x69, 0x37, 0x60, 0xe1, 0xab, 0x13, 0x72, 0xee, 0xa2,
|
||||
/* (2^438)P */ 0x74, 0x78, 0xfb, 0x13, 0xcb, 0x8e, 0x37, 0x1a, 0xf6, 0x1d, 0x17, 0x83, 0x06, 0xd4, 0x27, 0x06, 0x21, 0xe8, 0xda, 0xdf, 0x6b, 0xf3, 0x83, 0x6b, 0x34, 0x8a, 0x8c, 0xee, 0x01, 0x05, 0x5b, 0xed, 0xd3, 0x1b, 0xc9, 0x64, 0x83, 0xc9, 0x49, 0xc2, 0x57, 0x1b, 0xdd, 0xcf, 0xf1, 0x9d, 0x63, 0xee, 0x1c, 0x0d, 0xa0, 0x0a, 0x73, 0x1f, 0x5b, 0x32,
|
||||
/* (2^439)P */ 0x29, 0xce, 0x1e, 0xc0, 0x6a, 0xf5, 0xeb, 0x99, 0x5a, 0x39, 0x23, 0xe9, 0xdd, 0xac, 0x44, 0x88, 0xbc, 0x80, 0x22, 0xde, 0x2c, 0xcb, 0xa8, 0x3b, 0xff, 0xf7, 0x6f, 0xc7, 0x71, 0x72, 0xa8, 0xa3, 0xf6, 0x4d, 0xc6, 0x75, 0xda, 0x80, 0xdc, 0xd9, 0x30, 0xd9, 0x07, 0x50, 0x5a, 0x54, 0x7d, 0xda, 0x39, 0x6f, 0x78, 0x94, 0xbf, 0x25, 0x98, 0xdc,
|
||||
/* (2^440)P */ 0x01, 0x26, 0x62, 0x44, 0xfb, 0x0f, 0x11, 0x72, 0x73, 0x0a, 0x16, 0xc7, 0x16, 0x9c, 0x9b, 0x37, 0xd8, 0xff, 0x4f, 0xfe, 0x57, 0xdb, 0xae, 0xef, 0x7d, 0x94, 0x30, 0x04, 0x70, 0x83, 0xde, 0x3c, 0xd4, 0xb5, 0x70, 0xda, 0xa7, 0x55, 0xc8, 0x19, 0xe1, 0x36, 0x15, 0x61, 0xe7, 0x3b, 0x7d, 0x85, 0xbb, 0xf3, 0x42, 0x5a, 0x94, 0xf4, 0x53, 0x2a,
|
||||
/* (2^441)P */ 0x14, 0x60, 0xa6, 0x0b, 0x83, 0xe1, 0x23, 0x77, 0xc0, 0xce, 0x50, 0xed, 0x35, 0x8d, 0x98, 0x99, 0x7d, 0xf5, 0x8d, 0xce, 0x94, 0x25, 0xc8, 0x0f, 0x6d, 0xfa, 0x4a, 0xa4, 0x3a, 0x1f, 0x66, 0xfb, 0x5a, 0x64, 0xaf, 0x8b, 0x54, 0x54, 0x44, 0x3f, 0x5b, 0x88, 0x61, 0xe4, 0x48, 0x45, 0x26, 0x20, 0xbe, 0x0d, 0x06, 0xbb, 0x65, 0x59, 0xe1, 0x36,
|
||||
/* (2^442)P */ 0xb7, 0x98, 0xce, 0xa3, 0xe3, 0xee, 0x11, 0x1b, 0x9e, 0x24, 0x59, 0x75, 0x31, 0x37, 0x44, 0x6f, 0x6b, 0x9e, 0xec, 0xb7, 0x44, 0x01, 0x7e, 0xab, 0xbb, 0x69, 0x5d, 0x11, 0xb0, 0x30, 0x64, 0xea, 0x91, 0xb4, 0x7a, 0x8c, 0x02, 0x4c, 0xb9, 0x10, 0xa7, 0xc7, 0x79, 0xe6, 0xdc, 0x77, 0xe3, 0xc8, 0xef, 0x3e, 0xf9, 0x38, 0x81, 0xce, 0x9a, 0xb2,
|
||||
/* (2^443)P */ 0x91, 0x12, 0x76, 0xd0, 0x10, 0xb4, 0xaf, 0xe1, 0x89, 0x3a, 0x93, 0x6b, 0x5c, 0x19, 0x5f, 0x24, 0xed, 0x04, 0x92, 0xc7, 0xf0, 0x00, 0x08, 0xc1, 0x92, 0xff, 0x90, 0xdb, 0xb2, 0xbf, 0xdf, 0x49, 0xcd, 0xbd, 0x5c, 0x6e, 0xbf, 0x16, 0xbb, 0x61, 0xf9, 0x20, 0x33, 0x35, 0x93, 0x11, 0xbc, 0x59, 0x69, 0xce, 0x18, 0x9f, 0xf8, 0x7b, 0xa1, 0x6e,
|
||||
/* (2^444)P */ 0xa1, 0xf4, 0xaf, 0xad, 0xf8, 0xe6, 0x99, 0xd2, 0xa1, 0x4d, 0xde, 0x56, 0xc9, 0x7b, 0x0b, 0x11, 0x3e, 0xbf, 0x89, 0x1a, 0x9a, 0x90, 0xe5, 0xe2, 0xa6, 0x37, 0x88, 0xa1, 0x68, 0x59, 0xae, 0x8c, 0xec, 0x02, 0x14, 0x8d, 0xb7, 0x2e, 0x25, 0x75, 0x7f, 0x76, 0x1a, 0xd3, 0x4d, 0xad, 0x8a, 0x00, 0x6c, 0x96, 0x49, 0xa4, 0xc3, 0x2e, 0x5c, 0x7b,
|
||||
/* (2^445)P */ 0x26, 0x53, 0xf7, 0xda, 0xa8, 0x01, 0x14, 0xb1, 0x63, 0xe3, 0xc3, 0x89, 0x88, 0xb0, 0x85, 0x40, 0x2b, 0x26, 0x9a, 0x10, 0x1a, 0x70, 0x33, 0xf4, 0x50, 0x9d, 0x4d, 0xd8, 0x64, 0xc6, 0x0f, 0xe1, 0x17, 0xc8, 0x10, 0x4b, 0xfc, 0xa0, 0xc9, 0xba, 0x2c, 0x98, 0x09, 0xf5, 0x84, 0xb6, 0x7c, 0x4e, 0xa3, 0xe3, 0x81, 0x1b, 0x32, 0x60, 0x02, 0xdd,
|
||||
/* (2^446)P */ 0xa3, 0xe5, 0x86, 0xd4, 0x43, 0xa8, 0xd1, 0x98, 0x9d, 0x9d, 0xdb, 0x04, 0xcf, 0x6e, 0x35, 0x05, 0x30, 0x53, 0x3b, 0xbc, 0x90, 0x00, 0x4a, 0xc5, 0x40, 0x2a, 0x0f, 0xde, 0x1a, 0xd7, 0x36, 0x27, 0x44, 0x62, 0xa6, 0xac, 0x9d, 0xd2, 0x70, 0x69, 0x14, 0x39, 0x9b, 0xd1, 0xc3, 0x0a, 0x3a, 0x82, 0x0e, 0xf1, 0x94, 0xd7, 0x42, 0x94, 0xd5, 0x7d,
|
||||
/* (2^447)P */ 0x04, 0xc0, 0x6e, 0x12, 0x90, 0x70, 0xf9, 0xdf, 0xf7, 0xc9, 0x86, 0xc0, 0xe6, 0x92, 0x8b, 0x0a, 0xa1, 0xc1, 0x3b, 0xcc, 0x33, 0xb7, 0xf0, 0xeb, 0x51, 0x50, 0x80, 0x20, 0x69, 0x1c, 0x4f, 0x89, 0x05, 0x1e, 0xe4, 0x7a, 0x0a, 0xc2, 0xf0, 0xf5, 0x78, 0x91, 0x76, 0x34, 0x45, 0xdc, 0x24, 0x53, 0x24, 0x98, 0xe2, 0x73, 0x6f, 0xe6, 0x46, 0x67,
|
||||
}
|
||||
71
vendor/github.com/cloudflare/circl/ecc/goldilocks/constants.go
generated
vendored
71
vendor/github.com/cloudflare/circl/ecc/goldilocks/constants.go
generated
vendored
@ -1,71 +0,0 @@
|
||||
package goldilocks
|
||||
|
||||
import fp "github.com/cloudflare/circl/math/fp448"
|
||||
|
||||
var (
|
||||
// genX is the x-coordinate of the generator of Goldilocks curve.
|
||||
genX = fp.Elt{
|
||||
0x5e, 0xc0, 0x0c, 0xc7, 0x2b, 0xa8, 0x26, 0x26,
|
||||
0x8e, 0x93, 0x00, 0x8b, 0xe1, 0x80, 0x3b, 0x43,
|
||||
0x11, 0x65, 0xb6, 0x2a, 0xf7, 0x1a, 0xae, 0x12,
|
||||
0x64, 0xa4, 0xd3, 0xa3, 0x24, 0xe3, 0x6d, 0xea,
|
||||
0x67, 0x17, 0x0f, 0x47, 0x70, 0x65, 0x14, 0x9e,
|
||||
0xda, 0x36, 0xbf, 0x22, 0xa6, 0x15, 0x1d, 0x22,
|
||||
0xed, 0x0d, 0xed, 0x6b, 0xc6, 0x70, 0x19, 0x4f,
|
||||
}
|
||||
// genY is the y-coordinate of the generator of Goldilocks curve.
|
||||
genY = fp.Elt{
|
||||
0x14, 0xfa, 0x30, 0xf2, 0x5b, 0x79, 0x08, 0x98,
|
||||
0xad, 0xc8, 0xd7, 0x4e, 0x2c, 0x13, 0xbd, 0xfd,
|
||||
0xc4, 0x39, 0x7c, 0xe6, 0x1c, 0xff, 0xd3, 0x3a,
|
||||
0xd7, 0xc2, 0xa0, 0x05, 0x1e, 0x9c, 0x78, 0x87,
|
||||
0x40, 0x98, 0xa3, 0x6c, 0x73, 0x73, 0xea, 0x4b,
|
||||
0x62, 0xc7, 0xc9, 0x56, 0x37, 0x20, 0x76, 0x88,
|
||||
0x24, 0xbc, 0xb6, 0x6e, 0x71, 0x46, 0x3f, 0x69,
|
||||
}
|
||||
// paramD is -39081 in Fp.
|
||||
paramD = fp.Elt{
|
||||
0x56, 0x67, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
}
|
||||
// order is 2^446-0x8335dc163bb124b65129c96fde933d8d723a70aadc873d6d54a7bb0d,
|
||||
// which is the number of points in the prime subgroup.
|
||||
order = Scalar{
|
||||
0xf3, 0x44, 0x58, 0xab, 0x92, 0xc2, 0x78, 0x23,
|
||||
0x55, 0x8f, 0xc5, 0x8d, 0x72, 0xc2, 0x6c, 0x21,
|
||||
0x90, 0x36, 0xd6, 0xae, 0x49, 0xdb, 0x4e, 0xc4,
|
||||
0xe9, 0x23, 0xca, 0x7c, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x3f,
|
||||
}
|
||||
// residue448 is 2^448 mod order.
|
||||
residue448 = [4]uint64{
|
||||
0x721cf5b5529eec34, 0x7a4cf635c8e9c2ab, 0xeec492d944a725bf, 0x20cd77058,
|
||||
}
|
||||
// invFour is 1/4 mod order.
|
||||
invFour = Scalar{
|
||||
0x3d, 0x11, 0xd6, 0xaa, 0xa4, 0x30, 0xde, 0x48,
|
||||
0xd5, 0x63, 0x71, 0xa3, 0x9c, 0x30, 0x5b, 0x08,
|
||||
0xa4, 0x8d, 0xb5, 0x6b, 0xd2, 0xb6, 0x13, 0x71,
|
||||
0xfa, 0x88, 0x32, 0xdf, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x0f,
|
||||
}
|
||||
// paramDTwist is -39082 in Fp. The D parameter of the twist curve.
|
||||
paramDTwist = fp.Elt{
|
||||
0x55, 0x67, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
}
|
||||
)
|
||||
80
vendor/github.com/cloudflare/circl/ecc/goldilocks/curve.go
generated
vendored
80
vendor/github.com/cloudflare/circl/ecc/goldilocks/curve.go
generated
vendored
@ -1,80 +0,0 @@
|
||||
// Package goldilocks provides elliptic curve operations over the goldilocks curve.
|
||||
package goldilocks
|
||||
|
||||
import fp "github.com/cloudflare/circl/math/fp448"
|
||||
|
||||
// Curve is the Goldilocks curve x^2+y^2=z^2-39081x^2y^2.
|
||||
type Curve struct{}
|
||||
|
||||
// Identity returns the identity point.
|
||||
func (Curve) Identity() *Point {
|
||||
return &Point{
|
||||
y: fp.One(),
|
||||
z: fp.One(),
|
||||
}
|
||||
}
|
||||
|
||||
// IsOnCurve returns true if the point lies on the curve.
|
||||
func (Curve) IsOnCurve(P *Point) bool {
|
||||
x2, y2, t, t2, z2 := &fp.Elt{}, &fp.Elt{}, &fp.Elt{}, &fp.Elt{}, &fp.Elt{}
|
||||
rhs, lhs := &fp.Elt{}, &fp.Elt{}
|
||||
fp.Mul(t, &P.ta, &P.tb) // t = ta*tb
|
||||
fp.Sqr(x2, &P.x) // x^2
|
||||
fp.Sqr(y2, &P.y) // y^2
|
||||
fp.Sqr(z2, &P.z) // z^2
|
||||
fp.Sqr(t2, t) // t^2
|
||||
fp.Add(lhs, x2, y2) // x^2 + y^2
|
||||
fp.Mul(rhs, t2, ¶mD) // dt^2
|
||||
fp.Add(rhs, rhs, z2) // z^2 + dt^2
|
||||
fp.Sub(lhs, lhs, rhs) // x^2 + y^2 - (z^2 + dt^2)
|
||||
eq0 := fp.IsZero(lhs)
|
||||
|
||||
fp.Mul(lhs, &P.x, &P.y) // xy
|
||||
fp.Mul(rhs, t, &P.z) // tz
|
||||
fp.Sub(lhs, lhs, rhs) // xy - tz
|
||||
eq1 := fp.IsZero(lhs)
|
||||
return eq0 && eq1
|
||||
}
|
||||
|
||||
// Generator returns the generator point.
|
||||
func (Curve) Generator() *Point {
|
||||
return &Point{
|
||||
x: genX,
|
||||
y: genY,
|
||||
z: fp.One(),
|
||||
ta: genX,
|
||||
tb: genY,
|
||||
}
|
||||
}
|
||||
|
||||
// Order returns the number of points in the prime subgroup.
|
||||
func (Curve) Order() Scalar { return order }
|
||||
|
||||
// Double returns 2P.
|
||||
func (Curve) Double(P *Point) *Point { R := *P; R.Double(); return &R }
|
||||
|
||||
// Add returns P+Q.
|
||||
func (Curve) Add(P, Q *Point) *Point { R := *P; R.Add(Q); return &R }
|
||||
|
||||
// ScalarMult returns kP. This function runs in constant time.
|
||||
func (e Curve) ScalarMult(k *Scalar, P *Point) *Point {
|
||||
k4 := &Scalar{}
|
||||
k4.divBy4(k)
|
||||
return e.pull(twistCurve{}.ScalarMult(k4, e.push(P)))
|
||||
}
|
||||
|
||||
// ScalarBaseMult returns kG where G is the generator point. This function runs in constant time.
|
||||
func (e Curve) ScalarBaseMult(k *Scalar) *Point {
|
||||
k4 := &Scalar{}
|
||||
k4.divBy4(k)
|
||||
return e.pull(twistCurve{}.ScalarBaseMult(k4))
|
||||
}
|
||||
|
||||
// CombinedMult returns mG+nP, where G is the generator point. This function is non-constant time.
|
||||
func (e Curve) CombinedMult(m, n *Scalar, P *Point) *Point {
|
||||
m4 := &Scalar{}
|
||||
n4 := &Scalar{}
|
||||
m4.divBy4(m)
|
||||
n4.divBy4(n)
|
||||
return e.pull(twistCurve{}.CombinedMult(m4, n4, twistCurve{}.pull(P)))
|
||||
}
|
||||
52
vendor/github.com/cloudflare/circl/ecc/goldilocks/isogeny.go
generated
vendored
52
vendor/github.com/cloudflare/circl/ecc/goldilocks/isogeny.go
generated
vendored
@ -1,52 +0,0 @@
|
||||
package goldilocks
|
||||
|
||||
import fp "github.com/cloudflare/circl/math/fp448"
|
||||
|
||||
func (Curve) pull(P *twistPoint) *Point { return twistCurve{}.push(P) }
|
||||
func (twistCurve) pull(P *Point) *twistPoint { return Curve{}.push(P) }
|
||||
|
||||
// push sends a point on the Goldilocks curve to a point on the twist curve.
|
||||
func (Curve) push(P *Point) *twistPoint {
|
||||
Q := &twistPoint{}
|
||||
Px, Py, Pz := &P.x, &P.y, &P.z
|
||||
a, b, c, d, e, f, g, h := &Q.x, &Q.y, &Q.z, &fp.Elt{}, &Q.ta, &Q.x, &Q.y, &Q.tb
|
||||
fp.Add(e, Px, Py) // x+y
|
||||
fp.Sqr(a, Px) // A = x^2
|
||||
fp.Sqr(b, Py) // B = y^2
|
||||
fp.Sqr(c, Pz) // z^2
|
||||
fp.Add(c, c, c) // C = 2*z^2
|
||||
*d = *a // D = A
|
||||
fp.Sqr(e, e) // (x+y)^2
|
||||
fp.Sub(e, e, a) // (x+y)^2-A
|
||||
fp.Sub(e, e, b) // E = (x+y)^2-A-B
|
||||
fp.Add(h, b, d) // H = B+D
|
||||
fp.Sub(g, b, d) // G = B-D
|
||||
fp.Sub(f, c, h) // F = C-H
|
||||
fp.Mul(&Q.z, f, g) // Z = F * G
|
||||
fp.Mul(&Q.x, e, f) // X = E * F
|
||||
fp.Mul(&Q.y, g, h) // Y = G * H, // T = E * H
|
||||
return Q
|
||||
}
|
||||
|
||||
// push sends a point on the twist curve to a point on the Goldilocks curve.
|
||||
func (twistCurve) push(P *twistPoint) *Point {
|
||||
Q := &Point{}
|
||||
Px, Py, Pz := &P.x, &P.y, &P.z
|
||||
a, b, c, d, e, f, g, h := &Q.x, &Q.y, &Q.z, &fp.Elt{}, &Q.ta, &Q.x, &Q.y, &Q.tb
|
||||
fp.Add(e, Px, Py) // x+y
|
||||
fp.Sqr(a, Px) // A = x^2
|
||||
fp.Sqr(b, Py) // B = y^2
|
||||
fp.Sqr(c, Pz) // z^2
|
||||
fp.Add(c, c, c) // C = 2*z^2
|
||||
fp.Neg(d, a) // D = -A
|
||||
fp.Sqr(e, e) // (x+y)^2
|
||||
fp.Sub(e, e, a) // (x+y)^2-A
|
||||
fp.Sub(e, e, b) // E = (x+y)^2-A-B
|
||||
fp.Add(h, b, d) // H = B+D
|
||||
fp.Sub(g, b, d) // G = B-D
|
||||
fp.Sub(f, c, h) // F = C-H
|
||||
fp.Mul(&Q.z, f, g) // Z = F * G
|
||||
fp.Mul(&Q.x, e, f) // X = E * F
|
||||
fp.Mul(&Q.y, g, h) // Y = G * H, // T = E * H
|
||||
return Q
|
||||
}
|
||||
171
vendor/github.com/cloudflare/circl/ecc/goldilocks/point.go
generated
vendored
171
vendor/github.com/cloudflare/circl/ecc/goldilocks/point.go
generated
vendored
@ -1,171 +0,0 @@
|
||||
package goldilocks
|
||||
|
||||
import (
|
||||
"errors"
|
||||
"fmt"
|
||||
|
||||
fp "github.com/cloudflare/circl/math/fp448"
|
||||
)
|
||||
|
||||
// Point is a point on the Goldilocks Curve.
|
||||
type Point struct{ x, y, z, ta, tb fp.Elt }
|
||||
|
||||
func (P Point) String() string {
|
||||
return fmt.Sprintf("x: %v\ny: %v\nz: %v\nta: %v\ntb: %v", P.x, P.y, P.z, P.ta, P.tb)
|
||||
}
|
||||
|
||||
// FromAffine creates a point from affine coordinates.
|
||||
func FromAffine(x, y *fp.Elt) (*Point, error) {
|
||||
P := &Point{
|
||||
x: *x,
|
||||
y: *y,
|
||||
z: fp.One(),
|
||||
ta: *x,
|
||||
tb: *y,
|
||||
}
|
||||
if !(Curve{}).IsOnCurve(P) {
|
||||
return P, errors.New("point not on curve")
|
||||
}
|
||||
return P, nil
|
||||
}
|
||||
|
||||
// isLessThan returns true if 0 <= x < y, and assumes that slices are of the
|
||||
// same length and are interpreted in little-endian order.
|
||||
func isLessThan(x, y []byte) bool {
|
||||
i := len(x) - 1
|
||||
for i > 0 && x[i] == y[i] {
|
||||
i--
|
||||
}
|
||||
return x[i] < y[i]
|
||||
}
|
||||
|
||||
// FromBytes returns a point from the input buffer.
|
||||
func FromBytes(in []byte) (*Point, error) {
|
||||
if len(in) < fp.Size+1 {
|
||||
return nil, errors.New("wrong input length")
|
||||
}
|
||||
err := errors.New("invalid decoding")
|
||||
P := &Point{}
|
||||
signX := in[fp.Size] >> 7
|
||||
copy(P.y[:], in[:fp.Size])
|
||||
p := fp.P()
|
||||
if !isLessThan(P.y[:], p[:]) {
|
||||
return nil, err
|
||||
}
|
||||
|
||||
u, v := &fp.Elt{}, &fp.Elt{}
|
||||
one := fp.One()
|
||||
fp.Sqr(u, &P.y) // u = y^2
|
||||
fp.Mul(v, u, ¶mD) // v = dy^2
|
||||
fp.Sub(u, u, &one) // u = y^2-1
|
||||
fp.Sub(v, v, &one) // v = dy^2-1
|
||||
isQR := fp.InvSqrt(&P.x, u, v) // x = sqrt(u/v)
|
||||
if !isQR {
|
||||
return nil, err
|
||||
}
|
||||
fp.Modp(&P.x) // x = x mod p
|
||||
if fp.IsZero(&P.x) && signX == 1 {
|
||||
return nil, err
|
||||
}
|
||||
if signX != (P.x[0] & 1) {
|
||||
fp.Neg(&P.x, &P.x)
|
||||
}
|
||||
P.ta = P.x
|
||||
P.tb = P.y
|
||||
P.z = fp.One()
|
||||
return P, nil
|
||||
}
|
||||
|
||||
// IsIdentity returns true is P is the identity Point.
|
||||
func (P *Point) IsIdentity() bool {
|
||||
return fp.IsZero(&P.x) && !fp.IsZero(&P.y) && !fp.IsZero(&P.z) && P.y == P.z
|
||||
}
|
||||
|
||||
// IsEqual returns true if P is equivalent to Q.
|
||||
func (P *Point) IsEqual(Q *Point) bool {
|
||||
l, r := &fp.Elt{}, &fp.Elt{}
|
||||
fp.Mul(l, &P.x, &Q.z)
|
||||
fp.Mul(r, &Q.x, &P.z)
|
||||
fp.Sub(l, l, r)
|
||||
b := fp.IsZero(l)
|
||||
fp.Mul(l, &P.y, &Q.z)
|
||||
fp.Mul(r, &Q.y, &P.z)
|
||||
fp.Sub(l, l, r)
|
||||
b = b && fp.IsZero(l)
|
||||
fp.Mul(l, &P.ta, &P.tb)
|
||||
fp.Mul(l, l, &Q.z)
|
||||
fp.Mul(r, &Q.ta, &Q.tb)
|
||||
fp.Mul(r, r, &P.z)
|
||||
fp.Sub(l, l, r)
|
||||
b = b && fp.IsZero(l)
|
||||
return b
|
||||
}
|
||||
|
||||
// Neg obtains the inverse of the Point.
|
||||
func (P *Point) Neg() { fp.Neg(&P.x, &P.x); fp.Neg(&P.ta, &P.ta) }
|
||||
|
||||
// ToAffine returns the x,y affine coordinates of P.
|
||||
func (P *Point) ToAffine() (x, y fp.Elt) {
|
||||
fp.Inv(&P.z, &P.z) // 1/z
|
||||
fp.Mul(&P.x, &P.x, &P.z) // x/z
|
||||
fp.Mul(&P.y, &P.y, &P.z) // y/z
|
||||
fp.Modp(&P.x)
|
||||
fp.Modp(&P.y)
|
||||
fp.SetOne(&P.z)
|
||||
P.ta = P.x
|
||||
P.tb = P.y
|
||||
return P.x, P.y
|
||||
}
|
||||
|
||||
// ToBytes stores P into a slice of bytes.
|
||||
func (P *Point) ToBytes(out []byte) error {
|
||||
if len(out) < fp.Size+1 {
|
||||
return errors.New("invalid decoding")
|
||||
}
|
||||
x, y := P.ToAffine()
|
||||
out[fp.Size] = (x[0] & 1) << 7
|
||||
return fp.ToBytes(out[:fp.Size], &y)
|
||||
}
|
||||
|
||||
// MarshalBinary encodes the receiver into a binary form and returns the result.
|
||||
func (P *Point) MarshalBinary() (data []byte, err error) {
|
||||
data = make([]byte, fp.Size+1)
|
||||
err = P.ToBytes(data[:fp.Size+1])
|
||||
return data, err
|
||||
}
|
||||
|
||||
// UnmarshalBinary must be able to decode the form generated by MarshalBinary.
|
||||
func (P *Point) UnmarshalBinary(data []byte) error { Q, err := FromBytes(data); *P = *Q; return err }
|
||||
|
||||
// Double sets P = 2Q.
|
||||
func (P *Point) Double() { P.Add(P) }
|
||||
|
||||
// Add sets P =P+Q..
|
||||
func (P *Point) Add(Q *Point) {
|
||||
// This is formula (5) from "Twisted Edwards Curves Revisited" by
|
||||
// Hisil H., Wong K.KH., Carter G., Dawson E. (2008)
|
||||
// https://doi.org/10.1007/978-3-540-89255-7_20
|
||||
x1, y1, z1, ta1, tb1 := &P.x, &P.y, &P.z, &P.ta, &P.tb
|
||||
x2, y2, z2, ta2, tb2 := &Q.x, &Q.y, &Q.z, &Q.ta, &Q.tb
|
||||
x3, y3, z3, E, H := &P.x, &P.y, &P.z, &P.ta, &P.tb
|
||||
A, B, C, D := &fp.Elt{}, &fp.Elt{}, &fp.Elt{}, &fp.Elt{}
|
||||
t1, t2, F, G := C, D, &fp.Elt{}, &fp.Elt{}
|
||||
fp.Mul(t1, ta1, tb1) // t1 = ta1*tb1
|
||||
fp.Mul(t2, ta2, tb2) // t2 = ta2*tb2
|
||||
fp.Mul(A, x1, x2) // A = x1*x2
|
||||
fp.Mul(B, y1, y2) // B = y1*y2
|
||||
fp.Mul(C, t1, t2) // t1*t2
|
||||
fp.Mul(C, C, ¶mD) // C = d*t1*t2
|
||||
fp.Mul(D, z1, z2) // D = z1*z2
|
||||
fp.Add(F, x1, y1) // x1+y1
|
||||
fp.Add(E, x2, y2) // x2+y2
|
||||
fp.Mul(E, E, F) // (x1+y1)*(x2+y2)
|
||||
fp.Sub(E, E, A) // (x1+y1)*(x2+y2)-A
|
||||
fp.Sub(E, E, B) // E = (x1+y1)*(x2+y2)-A-B
|
||||
fp.Sub(F, D, C) // F = D-C
|
||||
fp.Add(G, D, C) // G = D+C
|
||||
fp.Sub(H, B, A) // H = B-A
|
||||
fp.Mul(z3, F, G) // Z = F * G
|
||||
fp.Mul(x3, E, F) // X = E * F
|
||||
fp.Mul(y3, G, H) // Y = G * H, T = E * H
|
||||
}
|
||||
203
vendor/github.com/cloudflare/circl/ecc/goldilocks/scalar.go
generated
vendored
203
vendor/github.com/cloudflare/circl/ecc/goldilocks/scalar.go
generated
vendored
@ -1,203 +0,0 @@
|
||||
package goldilocks
|
||||
|
||||
import (
|
||||
"encoding/binary"
|
||||
"math/bits"
|
||||
)
|
||||
|
||||
// ScalarSize is the size (in bytes) of scalars.
|
||||
const ScalarSize = 56 // 448 / 8
|
||||
|
||||
// _N is the number of 64-bit words to store scalars.
|
||||
const _N = 7 // 448 / 64
|
||||
|
||||
// Scalar represents a positive integer stored in little-endian order.
|
||||
type Scalar [ScalarSize]byte
|
||||
|
||||
type scalar64 [_N]uint64
|
||||
|
||||
func (z *scalar64) fromScalar(x *Scalar) {
|
||||
z[0] = binary.LittleEndian.Uint64(x[0*8 : 1*8])
|
||||
z[1] = binary.LittleEndian.Uint64(x[1*8 : 2*8])
|
||||
z[2] = binary.LittleEndian.Uint64(x[2*8 : 3*8])
|
||||
z[3] = binary.LittleEndian.Uint64(x[3*8 : 4*8])
|
||||
z[4] = binary.LittleEndian.Uint64(x[4*8 : 5*8])
|
||||
z[5] = binary.LittleEndian.Uint64(x[5*8 : 6*8])
|
||||
z[6] = binary.LittleEndian.Uint64(x[6*8 : 7*8])
|
||||
}
|
||||
|
||||
func (z *scalar64) toScalar(x *Scalar) {
|
||||
binary.LittleEndian.PutUint64(x[0*8:1*8], z[0])
|
||||
binary.LittleEndian.PutUint64(x[1*8:2*8], z[1])
|
||||
binary.LittleEndian.PutUint64(x[2*8:3*8], z[2])
|
||||
binary.LittleEndian.PutUint64(x[3*8:4*8], z[3])
|
||||
binary.LittleEndian.PutUint64(x[4*8:5*8], z[4])
|
||||
binary.LittleEndian.PutUint64(x[5*8:6*8], z[5])
|
||||
binary.LittleEndian.PutUint64(x[6*8:7*8], z[6])
|
||||
}
|
||||
|
||||
// add calculates z = x + y. Assumes len(z) > max(len(x),len(y)).
|
||||
func add(z, x, y []uint64) uint64 {
|
||||
l, L, zz := len(x), len(y), y
|
||||
if l > L {
|
||||
l, L, zz = L, l, x
|
||||
}
|
||||
c := uint64(0)
|
||||
for i := 0; i < l; i++ {
|
||||
z[i], c = bits.Add64(x[i], y[i], c)
|
||||
}
|
||||
for i := l; i < L; i++ {
|
||||
z[i], c = bits.Add64(zz[i], 0, c)
|
||||
}
|
||||
return c
|
||||
}
|
||||
|
||||
// sub calculates z = x - y. Assumes len(z) > max(len(x),len(y)).
|
||||
func sub(z, x, y []uint64) uint64 {
|
||||
l, L, zz := len(x), len(y), y
|
||||
if l > L {
|
||||
l, L, zz = L, l, x
|
||||
}
|
||||
c := uint64(0)
|
||||
for i := 0; i < l; i++ {
|
||||
z[i], c = bits.Sub64(x[i], y[i], c)
|
||||
}
|
||||
for i := l; i < L; i++ {
|
||||
z[i], c = bits.Sub64(zz[i], 0, c)
|
||||
}
|
||||
return c
|
||||
}
|
||||
|
||||
// mulWord calculates z = x * y. Assumes len(z) >= len(x)+1.
|
||||
func mulWord(z, x []uint64, y uint64) {
|
||||
for i := range z {
|
||||
z[i] = 0
|
||||
}
|
||||
carry := uint64(0)
|
||||
for i := range x {
|
||||
hi, lo := bits.Mul64(x[i], y)
|
||||
lo, cc := bits.Add64(lo, z[i], 0)
|
||||
hi, _ = bits.Add64(hi, 0, cc)
|
||||
z[i], cc = bits.Add64(lo, carry, 0)
|
||||
carry, _ = bits.Add64(hi, 0, cc)
|
||||
}
|
||||
z[len(x)] = carry
|
||||
}
|
||||
|
||||
// Cmov moves x into z if b=1.
|
||||
func (z *scalar64) Cmov(b uint64, x *scalar64) {
|
||||
m := uint64(0) - b
|
||||
for i := range z {
|
||||
z[i] = (z[i] &^ m) | (x[i] & m)
|
||||
}
|
||||
}
|
||||
|
||||
// leftShift shifts to the left the words of z returning the more significant word.
|
||||
func (z *scalar64) leftShift(low uint64) uint64 {
|
||||
high := z[_N-1]
|
||||
for i := _N - 1; i > 0; i-- {
|
||||
z[i] = z[i-1]
|
||||
}
|
||||
z[0] = low
|
||||
return high
|
||||
}
|
||||
|
||||
// reduceOneWord calculates z = z + 2^448*x such that the result fits in a Scalar.
|
||||
func (z *scalar64) reduceOneWord(x uint64) {
|
||||
prod := (&scalar64{})[:]
|
||||
mulWord(prod, residue448[:], x)
|
||||
cc := add(z[:], z[:], prod)
|
||||
mulWord(prod, residue448[:], cc)
|
||||
add(z[:], z[:], prod)
|
||||
}
|
||||
|
||||
// modOrder reduces z mod order.
|
||||
func (z *scalar64) modOrder() {
|
||||
var o64, x scalar64
|
||||
o64.fromScalar(&order)
|
||||
// Performs: while (z >= order) { z = z-order }
|
||||
// At most 8 (eight) iterations reduce 3 bits by subtracting.
|
||||
for i := 0; i < 8; i++ {
|
||||
c := sub(x[:], z[:], o64[:]) // (c || x) = z-order
|
||||
z.Cmov(1-c, &x) // if c != 0 { z = x }
|
||||
}
|
||||
}
|
||||
|
||||
// FromBytes stores z = x mod order, where x is a number stored in little-endian order.
|
||||
func (z *Scalar) FromBytes(x []byte) {
|
||||
n := len(x)
|
||||
nCeil := (n + 7) >> 3
|
||||
for i := range z {
|
||||
z[i] = 0
|
||||
}
|
||||
if nCeil < _N {
|
||||
copy(z[:], x)
|
||||
return
|
||||
}
|
||||
copy(z[:], x[8*(nCeil-_N):])
|
||||
var z64 scalar64
|
||||
z64.fromScalar(z)
|
||||
for i := nCeil - _N - 1; i >= 0; i-- {
|
||||
low := binary.LittleEndian.Uint64(x[8*i:])
|
||||
high := z64.leftShift(low)
|
||||
z64.reduceOneWord(high)
|
||||
}
|
||||
z64.modOrder()
|
||||
z64.toScalar(z)
|
||||
}
|
||||
|
||||
// divBy4 calculates z = x/4 mod order.
|
||||
func (z *Scalar) divBy4(x *Scalar) { z.Mul(x, &invFour) }
|
||||
|
||||
// Red reduces z mod order.
|
||||
func (z *Scalar) Red() { var t scalar64; t.fromScalar(z); t.modOrder(); t.toScalar(z) }
|
||||
|
||||
// Neg calculates z = -z mod order.
|
||||
func (z *Scalar) Neg() { z.Sub(&order, z) }
|
||||
|
||||
// Add calculates z = x+y mod order.
|
||||
func (z *Scalar) Add(x, y *Scalar) {
|
||||
var z64, x64, y64, t scalar64
|
||||
x64.fromScalar(x)
|
||||
y64.fromScalar(y)
|
||||
c := add(z64[:], x64[:], y64[:])
|
||||
add(t[:], z64[:], residue448[:])
|
||||
z64.Cmov(c, &t)
|
||||
z64.modOrder()
|
||||
z64.toScalar(z)
|
||||
}
|
||||
|
||||
// Sub calculates z = x-y mod order.
|
||||
func (z *Scalar) Sub(x, y *Scalar) {
|
||||
var z64, x64, y64, t scalar64
|
||||
x64.fromScalar(x)
|
||||
y64.fromScalar(y)
|
||||
c := sub(z64[:], x64[:], y64[:])
|
||||
sub(t[:], z64[:], residue448[:])
|
||||
z64.Cmov(c, &t)
|
||||
z64.modOrder()
|
||||
z64.toScalar(z)
|
||||
}
|
||||
|
||||
// Mul calculates z = x*y mod order.
|
||||
func (z *Scalar) Mul(x, y *Scalar) {
|
||||
var z64, x64, y64 scalar64
|
||||
prod := (&[_N + 1]uint64{})[:]
|
||||
x64.fromScalar(x)
|
||||
y64.fromScalar(y)
|
||||
mulWord(prod, x64[:], y64[_N-1])
|
||||
copy(z64[:], prod[:_N])
|
||||
z64.reduceOneWord(prod[_N])
|
||||
for i := _N - 2; i >= 0; i-- {
|
||||
h := z64.leftShift(0)
|
||||
z64.reduceOneWord(h)
|
||||
mulWord(prod, x64[:], y64[i])
|
||||
c := add(z64[:], z64[:], prod[:_N])
|
||||
z64.reduceOneWord(prod[_N] + c)
|
||||
}
|
||||
z64.modOrder()
|
||||
z64.toScalar(z)
|
||||
}
|
||||
|
||||
// IsZero returns true if z=0.
|
||||
func (z *Scalar) IsZero() bool { z.Red(); return *z == Scalar{} }
|
||||
138
vendor/github.com/cloudflare/circl/ecc/goldilocks/twist.go
generated
vendored
138
vendor/github.com/cloudflare/circl/ecc/goldilocks/twist.go
generated
vendored
@ -1,138 +0,0 @@
|
||||
package goldilocks
|
||||
|
||||
import (
|
||||
"crypto/subtle"
|
||||
"math/bits"
|
||||
|
||||
"github.com/cloudflare/circl/internal/conv"
|
||||
"github.com/cloudflare/circl/math"
|
||||
fp "github.com/cloudflare/circl/math/fp448"
|
||||
)
|
||||
|
||||
// twistCurve is -x^2+y^2=1-39082x^2y^2 and is 4-isogeneous to Goldilocks.
|
||||
type twistCurve struct{}
|
||||
|
||||
// Identity returns the identity point.
|
||||
func (twistCurve) Identity() *twistPoint {
|
||||
return &twistPoint{
|
||||
y: fp.One(),
|
||||
z: fp.One(),
|
||||
}
|
||||
}
|
||||
|
||||
// subYDiv16 update x = (x - y) / 16.
|
||||
func subYDiv16(x *scalar64, y int64) {
|
||||
s := uint64(y >> 63)
|
||||
x0, b0 := bits.Sub64((*x)[0], uint64(y), 0)
|
||||
x1, b1 := bits.Sub64((*x)[1], s, b0)
|
||||
x2, b2 := bits.Sub64((*x)[2], s, b1)
|
||||
x3, b3 := bits.Sub64((*x)[3], s, b2)
|
||||
x4, b4 := bits.Sub64((*x)[4], s, b3)
|
||||
x5, b5 := bits.Sub64((*x)[5], s, b4)
|
||||
x6, _ := bits.Sub64((*x)[6], s, b5)
|
||||
x[0] = (x0 >> 4) | (x1 << 60)
|
||||
x[1] = (x1 >> 4) | (x2 << 60)
|
||||
x[2] = (x2 >> 4) | (x3 << 60)
|
||||
x[3] = (x3 >> 4) | (x4 << 60)
|
||||
x[4] = (x4 >> 4) | (x5 << 60)
|
||||
x[5] = (x5 >> 4) | (x6 << 60)
|
||||
x[6] = (x6 >> 4)
|
||||
}
|
||||
|
||||
func recodeScalar(d *[113]int8, k *Scalar) {
|
||||
var k64 scalar64
|
||||
k64.fromScalar(k)
|
||||
for i := 0; i < 112; i++ {
|
||||
d[i] = int8((k64[0] & 0x1f) - 16)
|
||||
subYDiv16(&k64, int64(d[i]))
|
||||
}
|
||||
d[112] = int8(k64[0])
|
||||
}
|
||||
|
||||
// ScalarMult returns kP.
|
||||
func (e twistCurve) ScalarMult(k *Scalar, P *twistPoint) *twistPoint {
|
||||
var TabP [8]preTwistPointProy
|
||||
var S preTwistPointProy
|
||||
var d [113]int8
|
||||
|
||||
var isZero int
|
||||
if k.IsZero() {
|
||||
isZero = 1
|
||||
}
|
||||
subtle.ConstantTimeCopy(isZero, k[:], order[:])
|
||||
|
||||
minusK := *k
|
||||
isEven := 1 - int(k[0]&0x1)
|
||||
minusK.Neg()
|
||||
subtle.ConstantTimeCopy(isEven, k[:], minusK[:])
|
||||
recodeScalar(&d, k)
|
||||
|
||||
P.oddMultiples(TabP[:])
|
||||
Q := e.Identity()
|
||||
for i := 112; i >= 0; i-- {
|
||||
Q.Double()
|
||||
Q.Double()
|
||||
Q.Double()
|
||||
Q.Double()
|
||||
mask := d[i] >> 7
|
||||
absDi := (d[i] + mask) ^ mask
|
||||
inx := int32((absDi - 1) >> 1)
|
||||
sig := int((d[i] >> 7) & 0x1)
|
||||
for j := range TabP {
|
||||
S.cmov(&TabP[j], uint(subtle.ConstantTimeEq(inx, int32(j))))
|
||||
}
|
||||
S.cneg(sig)
|
||||
Q.mixAdd(&S)
|
||||
}
|
||||
Q.cneg(uint(isEven))
|
||||
return Q
|
||||
}
|
||||
|
||||
const (
|
||||
omegaFix = 7
|
||||
omegaVar = 5
|
||||
)
|
||||
|
||||
// CombinedMult returns mG+nP.
|
||||
func (e twistCurve) CombinedMult(m, n *Scalar, P *twistPoint) *twistPoint {
|
||||
nafFix := math.OmegaNAF(conv.BytesLe2BigInt(m[:]), omegaFix)
|
||||
nafVar := math.OmegaNAF(conv.BytesLe2BigInt(n[:]), omegaVar)
|
||||
|
||||
if len(nafFix) > len(nafVar) {
|
||||
nafVar = append(nafVar, make([]int32, len(nafFix)-len(nafVar))...)
|
||||
} else if len(nafFix) < len(nafVar) {
|
||||
nafFix = append(nafFix, make([]int32, len(nafVar)-len(nafFix))...)
|
||||
}
|
||||
|
||||
var TabQ [1 << (omegaVar - 2)]preTwistPointProy
|
||||
P.oddMultiples(TabQ[:])
|
||||
Q := e.Identity()
|
||||
for i := len(nafFix) - 1; i >= 0; i-- {
|
||||
Q.Double()
|
||||
// Generator point
|
||||
if nafFix[i] != 0 {
|
||||
idxM := absolute(nafFix[i]) >> 1
|
||||
R := tabVerif[idxM]
|
||||
if nafFix[i] < 0 {
|
||||
R.neg()
|
||||
}
|
||||
Q.mixAddZ1(&R)
|
||||
}
|
||||
// Variable input point
|
||||
if nafVar[i] != 0 {
|
||||
idxN := absolute(nafVar[i]) >> 1
|
||||
S := TabQ[idxN]
|
||||
if nafVar[i] < 0 {
|
||||
S.neg()
|
||||
}
|
||||
Q.mixAdd(&S)
|
||||
}
|
||||
}
|
||||
return Q
|
||||
}
|
||||
|
||||
// absolute returns always a positive value.
|
||||
func absolute(x int32) int32 {
|
||||
mask := x >> 31
|
||||
return (x + mask) ^ mask
|
||||
}
|
||||
135
vendor/github.com/cloudflare/circl/ecc/goldilocks/twistPoint.go
generated
vendored
135
vendor/github.com/cloudflare/circl/ecc/goldilocks/twistPoint.go
generated
vendored
@ -1,135 +0,0 @@
|
||||
package goldilocks
|
||||
|
||||
import (
|
||||
"fmt"
|
||||
|
||||
fp "github.com/cloudflare/circl/math/fp448"
|
||||
)
|
||||
|
||||
type twistPoint struct{ x, y, z, ta, tb fp.Elt }
|
||||
|
||||
type preTwistPointAffine struct{ addYX, subYX, dt2 fp.Elt }
|
||||
|
||||
type preTwistPointProy struct {
|
||||
preTwistPointAffine
|
||||
z2 fp.Elt
|
||||
}
|
||||
|
||||
func (P *twistPoint) String() string {
|
||||
return fmt.Sprintf("x: %v\ny: %v\nz: %v\nta: %v\ntb: %v", P.x, P.y, P.z, P.ta, P.tb)
|
||||
}
|
||||
|
||||
// cneg conditionally negates the point if b=1.
|
||||
func (P *twistPoint) cneg(b uint) {
|
||||
t := &fp.Elt{}
|
||||
fp.Neg(t, &P.x)
|
||||
fp.Cmov(&P.x, t, b)
|
||||
fp.Neg(t, &P.ta)
|
||||
fp.Cmov(&P.ta, t, b)
|
||||
}
|
||||
|
||||
// Double updates P with 2P.
|
||||
func (P *twistPoint) Double() {
|
||||
// This is formula (7) from "Twisted Edwards Curves Revisited" by
|
||||
// Hisil H., Wong K.KH., Carter G., Dawson E. (2008)
|
||||
// https://doi.org/10.1007/978-3-540-89255-7_20
|
||||
Px, Py, Pz, Pta, Ptb := &P.x, &P.y, &P.z, &P.ta, &P.tb
|
||||
a, b, c, e, f, g, h := Px, Py, Pz, Pta, Px, Py, Ptb
|
||||
fp.Add(e, Px, Py) // x+y
|
||||
fp.Sqr(a, Px) // A = x^2
|
||||
fp.Sqr(b, Py) // B = y^2
|
||||
fp.Sqr(c, Pz) // z^2
|
||||
fp.Add(c, c, c) // C = 2*z^2
|
||||
fp.Add(h, a, b) // H = A+B
|
||||
fp.Sqr(e, e) // (x+y)^2
|
||||
fp.Sub(e, e, h) // E = (x+y)^2-A-B
|
||||
fp.Sub(g, b, a) // G = B-A
|
||||
fp.Sub(f, c, g) // F = C-G
|
||||
fp.Mul(Pz, f, g) // Z = F * G
|
||||
fp.Mul(Px, e, f) // X = E * F
|
||||
fp.Mul(Py, g, h) // Y = G * H, T = E * H
|
||||
}
|
||||
|
||||
// mixAdd calculates P= P+Q, where Q is a precomputed point with Z_Q = 1.
|
||||
func (P *twistPoint) mixAddZ1(Q *preTwistPointAffine) {
|
||||
fp.Add(&P.z, &P.z, &P.z) // D = 2*z1 (z2=1)
|
||||
P.coreAddition(Q)
|
||||
}
|
||||
|
||||
// coreAddition calculates P=P+Q for curves with A=-1.
|
||||
func (P *twistPoint) coreAddition(Q *preTwistPointAffine) {
|
||||
// This is the formula following (5) from "Twisted Edwards Curves Revisited" by
|
||||
// Hisil H., Wong K.KH., Carter G., Dawson E. (2008)
|
||||
// https://doi.org/10.1007/978-3-540-89255-7_20
|
||||
Px, Py, Pz, Pta, Ptb := &P.x, &P.y, &P.z, &P.ta, &P.tb
|
||||
addYX2, subYX2, dt2 := &Q.addYX, &Q.subYX, &Q.dt2
|
||||
a, b, c, d, e, f, g, h := Px, Py, &fp.Elt{}, Pz, Pta, Px, Py, Ptb
|
||||
fp.Mul(c, Pta, Ptb) // t1 = ta*tb
|
||||
fp.Sub(h, Py, Px) // y1-x1
|
||||
fp.Add(b, Py, Px) // y1+x1
|
||||
fp.Mul(a, h, subYX2) // A = (y1-x1)*(y2-x2)
|
||||
fp.Mul(b, b, addYX2) // B = (y1+x1)*(y2+x2)
|
||||
fp.Mul(c, c, dt2) // C = 2*D*t1*t2
|
||||
fp.Sub(e, b, a) // E = B-A
|
||||
fp.Add(h, b, a) // H = B+A
|
||||
fp.Sub(f, d, c) // F = D-C
|
||||
fp.Add(g, d, c) // G = D+C
|
||||
fp.Mul(Pz, f, g) // Z = F * G
|
||||
fp.Mul(Px, e, f) // X = E * F
|
||||
fp.Mul(Py, g, h) // Y = G * H, T = E * H
|
||||
}
|
||||
|
||||
func (P *preTwistPointAffine) neg() {
|
||||
P.addYX, P.subYX = P.subYX, P.addYX
|
||||
fp.Neg(&P.dt2, &P.dt2)
|
||||
}
|
||||
|
||||
func (P *preTwistPointAffine) cneg(b int) {
|
||||
t := &fp.Elt{}
|
||||
fp.Cswap(&P.addYX, &P.subYX, uint(b))
|
||||
fp.Neg(t, &P.dt2)
|
||||
fp.Cmov(&P.dt2, t, uint(b))
|
||||
}
|
||||
|
||||
func (P *preTwistPointAffine) cmov(Q *preTwistPointAffine, b uint) {
|
||||
fp.Cmov(&P.addYX, &Q.addYX, b)
|
||||
fp.Cmov(&P.subYX, &Q.subYX, b)
|
||||
fp.Cmov(&P.dt2, &Q.dt2, b)
|
||||
}
|
||||
|
||||
// mixAdd calculates P= P+Q, where Q is a precomputed point with Z_Q != 1.
|
||||
func (P *twistPoint) mixAdd(Q *preTwistPointProy) {
|
||||
fp.Mul(&P.z, &P.z, &Q.z2) // D = 2*z1*z2
|
||||
P.coreAddition(&Q.preTwistPointAffine)
|
||||
}
|
||||
|
||||
// oddMultiples calculates T[i] = (2*i-1)P for 0 < i < len(T).
|
||||
func (P *twistPoint) oddMultiples(T []preTwistPointProy) {
|
||||
if n := len(T); n > 0 {
|
||||
T[0].FromTwistPoint(P)
|
||||
_2P := *P
|
||||
_2P.Double()
|
||||
R := &preTwistPointProy{}
|
||||
R.FromTwistPoint(&_2P)
|
||||
for i := 1; i < n; i++ {
|
||||
P.mixAdd(R)
|
||||
T[i].FromTwistPoint(P)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// cmov conditionally moves Q into P if b=1.
|
||||
func (P *preTwistPointProy) cmov(Q *preTwistPointProy, b uint) {
|
||||
P.preTwistPointAffine.cmov(&Q.preTwistPointAffine, b)
|
||||
fp.Cmov(&P.z2, &Q.z2, b)
|
||||
}
|
||||
|
||||
// FromTwistPoint precomputes some coordinates of Q for missed addition.
|
||||
func (P *preTwistPointProy) FromTwistPoint(Q *twistPoint) {
|
||||
fp.Add(&P.addYX, &Q.y, &Q.x) // addYX = X + Y
|
||||
fp.Sub(&P.subYX, &Q.y, &Q.x) // subYX = Y - X
|
||||
fp.Mul(&P.dt2, &Q.ta, &Q.tb) // T = ta*tb
|
||||
fp.Mul(&P.dt2, &P.dt2, ¶mDTwist) // D*T
|
||||
fp.Add(&P.dt2, &P.dt2, &P.dt2) // dt2 = 2*D*T
|
||||
fp.Add(&P.z2, &Q.z, &Q.z) // z2 = 2*Z
|
||||
}
|
||||
216
vendor/github.com/cloudflare/circl/ecc/goldilocks/twistTables.go
generated
vendored
216
vendor/github.com/cloudflare/circl/ecc/goldilocks/twistTables.go
generated
vendored
@ -1,216 +0,0 @@
|
||||
package goldilocks
|
||||
|
||||
import fp "github.com/cloudflare/circl/math/fp448"
|
||||
|
||||
var tabFixMult = [fxV][fx2w1]preTwistPointAffine{
|
||||
{
|
||||
{
|
||||
addYX: fp.Elt{0x65, 0x4a, 0xdd, 0xdf, 0xb4, 0x79, 0x60, 0xc8, 0xa1, 0x70, 0xb4, 0x3a, 0x1e, 0x0c, 0x9b, 0x19, 0xe5, 0x48, 0x3f, 0xd7, 0x44, 0x18, 0x18, 0x14, 0x14, 0x27, 0x45, 0xd0, 0x2b, 0x24, 0xd5, 0x93, 0xc3, 0x74, 0x4c, 0x50, 0x70, 0x43, 0x26, 0x05, 0x08, 0x24, 0xca, 0x78, 0x30, 0xc1, 0x06, 0x8d, 0xd4, 0x86, 0x42, 0xf0, 0x14, 0xde, 0x08, 0x05},
|
||||
subYX: fp.Elt{0x64, 0x4a, 0xdd, 0xdf, 0xb4, 0x79, 0x60, 0xc8, 0xa1, 0x70, 0xb4, 0x3a, 0x1e, 0x0c, 0x9b, 0x19, 0xe5, 0x48, 0x3f, 0xd7, 0x44, 0x18, 0x18, 0x14, 0x14, 0x27, 0x45, 0xd0, 0x2d, 0x24, 0xd5, 0x93, 0xc3, 0x74, 0x4c, 0x50, 0x70, 0x43, 0x26, 0x05, 0x08, 0x24, 0xca, 0x78, 0x30, 0xc1, 0x06, 0x8d, 0xd4, 0x86, 0x42, 0xf0, 0x14, 0xde, 0x08, 0x05},
|
||||
dt2: fp.Elt{0x1a, 0x33, 0xea, 0x64, 0x45, 0x1c, 0xdf, 0x17, 0x1d, 0x16, 0x34, 0x28, 0xd6, 0x61, 0x19, 0x67, 0x79, 0xb4, 0x13, 0xcf, 0x3e, 0x7c, 0x0e, 0x72, 0xda, 0xf1, 0x5f, 0xda, 0xe6, 0xcf, 0x42, 0xd3, 0xb6, 0x17, 0xc2, 0x68, 0x13, 0x2d, 0xd9, 0x60, 0x3e, 0xae, 0xf0, 0x5b, 0x96, 0xf0, 0xcd, 0xaf, 0xea, 0xb7, 0x0d, 0x59, 0x16, 0xa7, 0xff, 0x55},
|
||||
},
|
||||
{
|
||||
addYX: fp.Elt{0xca, 0xd8, 0x7d, 0x86, 0x1a, 0xef, 0xad, 0x11, 0xe3, 0x27, 0x41, 0x7e, 0x7f, 0x3e, 0xa9, 0xd2, 0xb5, 0x4e, 0x50, 0xe0, 0x77, 0x91, 0xc2, 0x13, 0x52, 0x73, 0x41, 0x09, 0xa6, 0x57, 0x9a, 0xc8, 0xa8, 0x90, 0x9d, 0x26, 0x14, 0xbb, 0xa1, 0x2a, 0xf7, 0x45, 0x43, 0x4e, 0xea, 0x35, 0x62, 0xe1, 0x08, 0x85, 0x46, 0xb8, 0x24, 0x05, 0x2d, 0xab},
|
||||
subYX: fp.Elt{0x9b, 0xe6, 0xd3, 0xe5, 0xfe, 0x50, 0x36, 0x3c, 0x3c, 0x6d, 0x74, 0x1d, 0x74, 0xc0, 0xde, 0x5b, 0x45, 0x27, 0xe5, 0x12, 0xee, 0x63, 0x35, 0x6b, 0x13, 0xe2, 0x41, 0x6b, 0x3a, 0x05, 0x2b, 0xb1, 0x89, 0x26, 0xb6, 0xc6, 0xd1, 0x84, 0xff, 0x0e, 0x9b, 0xa3, 0xfb, 0x21, 0x36, 0x6b, 0x01, 0xf7, 0x9f, 0x7c, 0xeb, 0xf5, 0x18, 0x7a, 0x2a, 0x70},
|
||||
dt2: fp.Elt{0x09, 0xad, 0x99, 0x1a, 0x38, 0xd3, 0xdf, 0x22, 0x37, 0x32, 0x61, 0x8b, 0xf3, 0x19, 0x48, 0x08, 0xe8, 0x49, 0xb6, 0x4a, 0xa7, 0xed, 0xa4, 0xa2, 0xee, 0x86, 0xd7, 0x31, 0x5e, 0xce, 0x95, 0x76, 0x86, 0x42, 0x1c, 0x9d, 0x07, 0x14, 0x8c, 0x34, 0x18, 0x9c, 0x6d, 0x3a, 0xdf, 0xa9, 0xe8, 0x36, 0x7e, 0xe4, 0x95, 0xbe, 0xb5, 0x09, 0xf8, 0x9c},
|
||||
},
|
||||
{
|
||||
addYX: fp.Elt{0x51, 0xdb, 0x49, 0xa8, 0x9f, 0xe3, 0xd7, 0xec, 0x0d, 0x0f, 0x49, 0xe8, 0xb6, 0xc5, 0x0f, 0x5a, 0x1c, 0xce, 0x54, 0x0d, 0xb1, 0x8d, 0x5b, 0xbf, 0xf4, 0xaa, 0x34, 0x77, 0xc4, 0x5d, 0x59, 0xb6, 0xc5, 0x0e, 0x5a, 0xd8, 0x5b, 0x30, 0xc2, 0x1d, 0xec, 0x85, 0x1c, 0x42, 0xbe, 0x24, 0x2e, 0x50, 0x55, 0x44, 0xb2, 0x3a, 0x01, 0xaa, 0x98, 0xfb},
|
||||
subYX: fp.Elt{0xe7, 0x29, 0xb7, 0xd0, 0xaa, 0x4f, 0x32, 0x53, 0x56, 0xde, 0xbc, 0xd1, 0x92, 0x5d, 0x19, 0xbe, 0xa3, 0xe3, 0x75, 0x48, 0xe0, 0x7a, 0x1b, 0x54, 0x7a, 0xb7, 0x41, 0x77, 0x84, 0x38, 0xdd, 0x14, 0x9f, 0xca, 0x3f, 0xa3, 0xc8, 0xa7, 0x04, 0x70, 0xf1, 0x4d, 0x3d, 0xb3, 0x84, 0x79, 0xcb, 0xdb, 0xe4, 0xc5, 0x42, 0x9b, 0x57, 0x19, 0xf1, 0x2d},
|
||||
dt2: fp.Elt{0x20, 0xb4, 0x94, 0x9e, 0xdf, 0x31, 0x44, 0x0b, 0xc9, 0x7b, 0x75, 0x40, 0x9d, 0xd1, 0x96, 0x39, 0x70, 0x71, 0x15, 0xc8, 0x93, 0xd5, 0xc5, 0xe5, 0xba, 0xfe, 0xee, 0x08, 0x6a, 0x98, 0x0a, 0x1b, 0xb2, 0xaa, 0x3a, 0xf4, 0xa4, 0x79, 0xf9, 0x8e, 0x4d, 0x65, 0x10, 0x9b, 0x3a, 0x6e, 0x7c, 0x87, 0x94, 0x92, 0x11, 0x65, 0xbf, 0x1a, 0x09, 0xde},
|
||||
},
|
||||
{
|
||||
addYX: fp.Elt{0xf3, 0x84, 0x76, 0x77, 0xa5, 0x6b, 0x27, 0x3b, 0x83, 0x3d, 0xdf, 0xa0, 0xeb, 0x32, 0x6d, 0x58, 0x81, 0x57, 0x64, 0xc2, 0x21, 0x7c, 0x9b, 0xea, 0xe6, 0xb0, 0x93, 0xf9, 0xe7, 0xc3, 0xed, 0x5a, 0x8e, 0xe2, 0xb4, 0x72, 0x76, 0x66, 0x0f, 0x22, 0x29, 0x94, 0x3e, 0x63, 0x48, 0x5e, 0x80, 0xcb, 0xac, 0xfa, 0x95, 0xb6, 0x4b, 0xc4, 0x95, 0x33},
|
||||
subYX: fp.Elt{0x0c, 0x55, 0xd1, 0x5e, 0x5f, 0xbf, 0xbf, 0xe2, 0x4c, 0xfc, 0x37, 0x4a, 0xc4, 0xb1, 0xf4, 0x83, 0x61, 0x93, 0x60, 0x8e, 0x9f, 0x31, 0xf0, 0xa0, 0x41, 0xff, 0x1d, 0xe2, 0x7f, 0xca, 0x40, 0xd6, 0x88, 0xe8, 0x91, 0x61, 0xe2, 0x11, 0x18, 0x83, 0xf3, 0x25, 0x2f, 0x3f, 0x49, 0x40, 0xd4, 0x83, 0xe2, 0xd7, 0x74, 0x6a, 0x16, 0x86, 0x4e, 0xab},
|
||||
dt2: fp.Elt{0xdd, 0x58, 0x65, 0xd8, 0x9f, 0xdd, 0x70, 0x7f, 0x0f, 0xec, 0xbd, 0x5c, 0x5c, 0x9b, 0x7e, 0x1b, 0x9f, 0x79, 0x36, 0x1f, 0xfd, 0x79, 0x10, 0x1c, 0x52, 0xf3, 0x22, 0xa4, 0x1f, 0x71, 0x6e, 0x63, 0x14, 0xf4, 0xa7, 0x3e, 0xbe, 0xad, 0x43, 0x30, 0x38, 0x8c, 0x29, 0xc6, 0xcf, 0x50, 0x75, 0x21, 0xe5, 0x78, 0xfd, 0xb0, 0x9a, 0xc4, 0x6d, 0xd4},
|
||||
},
|
||||
},
|
||||
{
|
||||
{
|
||||
addYX: fp.Elt{0x7a, 0xa1, 0x38, 0xa6, 0xfd, 0x0e, 0x96, 0xd5, 0x26, 0x76, 0x86, 0x70, 0x80, 0x30, 0xa6, 0x67, 0xeb, 0xf4, 0x39, 0xdb, 0x22, 0xf5, 0x9f, 0x98, 0xe4, 0xb5, 0x3a, 0x0c, 0x59, 0xbf, 0x85, 0xc6, 0xf0, 0x0b, 0x1c, 0x41, 0x38, 0x09, 0x01, 0xdb, 0xd6, 0x3c, 0xb7, 0xf1, 0x08, 0x6b, 0x4b, 0x9e, 0x63, 0x53, 0x83, 0xd3, 0xab, 0xa3, 0x72, 0x0d},
|
||||
subYX: fp.Elt{0x84, 0x68, 0x25, 0xe8, 0xe9, 0x8f, 0x91, 0xbf, 0xf7, 0xa4, 0x30, 0xae, 0xea, 0x9f, 0xdd, 0x56, 0x64, 0x09, 0xc9, 0x54, 0x68, 0x4e, 0x33, 0xc5, 0x6f, 0x7b, 0x2d, 0x52, 0x2e, 0x42, 0xbe, 0xbe, 0xf5, 0x64, 0xbf, 0x77, 0x54, 0xdf, 0xb0, 0x10, 0xd2, 0x16, 0x5d, 0xce, 0xaf, 0x9f, 0xfb, 0xa3, 0x63, 0x50, 0xcb, 0xc0, 0xd0, 0x88, 0x44, 0xa3},
|
||||
dt2: fp.Elt{0xc3, 0x8b, 0xa5, 0xf1, 0x44, 0xe4, 0x41, 0xcd, 0x75, 0xe3, 0x17, 0x69, 0x5b, 0xb9, 0xbb, 0xee, 0x82, 0xbb, 0xce, 0x57, 0xdf, 0x2a, 0x9c, 0x12, 0xab, 0x66, 0x08, 0x68, 0x05, 0x1b, 0x87, 0xee, 0x5d, 0x1e, 0x18, 0x14, 0x22, 0x4b, 0x99, 0x61, 0x75, 0x28, 0xe7, 0x65, 0x1c, 0x36, 0xb6, 0x18, 0x09, 0xa8, 0xdf, 0xef, 0x30, 0x35, 0xbc, 0x58},
|
||||
},
|
||||
{
|
||||
addYX: fp.Elt{0xc5, 0xd3, 0x0e, 0x6f, 0xaf, 0x06, 0x69, 0xc4, 0x07, 0x9e, 0x58, 0x6e, 0x3f, 0x49, 0xd9, 0x0a, 0x3c, 0x2c, 0x37, 0xcd, 0x27, 0x4d, 0x87, 0x91, 0x7a, 0xb0, 0x28, 0xad, 0x2f, 0x68, 0x92, 0x05, 0x97, 0xf1, 0x30, 0x5f, 0x4c, 0x10, 0x20, 0x30, 0xd3, 0x08, 0x3f, 0xc1, 0xc6, 0xb7, 0xb5, 0xd1, 0x71, 0x7b, 0xa8, 0x0a, 0xd8, 0xf5, 0x17, 0xcf},
|
||||
subYX: fp.Elt{0x64, 0xd4, 0x8f, 0x91, 0x40, 0xab, 0x6e, 0x1a, 0x62, 0x83, 0xdc, 0xd7, 0x30, 0x1a, 0x4a, 0x2a, 0x4c, 0x54, 0x86, 0x19, 0x81, 0x5d, 0x04, 0x52, 0xa3, 0xca, 0x82, 0x38, 0xdc, 0x1e, 0xf0, 0x7a, 0x78, 0x76, 0x49, 0x4f, 0x71, 0xc4, 0x74, 0x2f, 0xf0, 0x5b, 0x2e, 0x5e, 0xac, 0xef, 0x17, 0xe4, 0x8e, 0x6e, 0xed, 0x43, 0x23, 0x61, 0x99, 0x49},
|
||||
dt2: fp.Elt{0x64, 0x90, 0x72, 0x76, 0xf8, 0x2c, 0x7d, 0x57, 0xf9, 0x30, 0x5e, 0x7a, 0x10, 0x74, 0x19, 0x39, 0xd9, 0xaf, 0x0a, 0xf1, 0x43, 0xed, 0x88, 0x9c, 0x8b, 0xdc, 0x9b, 0x1c, 0x90, 0xe7, 0xf7, 0xa3, 0xa5, 0x0d, 0xc6, 0xbc, 0x30, 0xfb, 0x91, 0x1a, 0x51, 0xba, 0x2d, 0xbe, 0x89, 0xdf, 0x1d, 0xdc, 0x53, 0xa8, 0x82, 0x8a, 0xd3, 0x8d, 0x16, 0x68},
|
||||
},
|
||||
{
|
||||
addYX: fp.Elt{0xef, 0x5c, 0xe3, 0x74, 0xbf, 0x13, 0x4a, 0xbf, 0x66, 0x73, 0x64, 0xb7, 0xd4, 0xce, 0x98, 0x82, 0x05, 0xfa, 0x98, 0x0c, 0x0a, 0xae, 0xe5, 0x6b, 0x9f, 0xac, 0xbb, 0x6e, 0x1f, 0xcf, 0xff, 0xa6, 0x71, 0x9a, 0xa8, 0x7a, 0x9e, 0x64, 0x1f, 0x20, 0x4a, 0x61, 0xa2, 0xd6, 0x50, 0xe3, 0xba, 0x81, 0x0c, 0x50, 0x59, 0x69, 0x59, 0x15, 0x55, 0xdb},
|
||||
subYX: fp.Elt{0xe8, 0x77, 0x4d, 0xe8, 0x66, 0x3d, 0xc1, 0x00, 0x3c, 0xf2, 0x25, 0x00, 0xdc, 0xb2, 0xe5, 0x9b, 0x12, 0x89, 0xf3, 0xd6, 0xea, 0x85, 0x60, 0xfe, 0x67, 0x91, 0xfd, 0x04, 0x7c, 0xe0, 0xf1, 0x86, 0x06, 0x11, 0x66, 0xee, 0xd4, 0xd5, 0xbe, 0x3b, 0x0f, 0xe3, 0x59, 0xb3, 0x4f, 0x00, 0xb6, 0xce, 0x80, 0xc1, 0x61, 0xf7, 0xaf, 0x04, 0x6a, 0x3c},
|
||||
dt2: fp.Elt{0x00, 0xd7, 0x32, 0x93, 0x67, 0x70, 0x6f, 0xd7, 0x69, 0xab, 0xb1, 0xd3, 0xdc, 0xd6, 0xa8, 0xdd, 0x35, 0x25, 0xca, 0xd3, 0x8a, 0x6d, 0xce, 0xfb, 0xfd, 0x2b, 0x83, 0xf0, 0xd4, 0xac, 0x66, 0xfb, 0x72, 0x87, 0x7e, 0x55, 0xb7, 0x91, 0x58, 0x10, 0xc3, 0x11, 0x7e, 0x15, 0xfe, 0x7c, 0x55, 0x90, 0xa3, 0x9e, 0xed, 0x9a, 0x7f, 0xa7, 0xb7, 0xeb},
|
||||
},
|
||||
{
|
||||
addYX: fp.Elt{0x25, 0x0f, 0xc2, 0x09, 0x9c, 0x10, 0xc8, 0x7c, 0x93, 0xa7, 0xbe, 0xe9, 0x26, 0x25, 0x7c, 0x21, 0xfe, 0xe7, 0x5f, 0x3c, 0x02, 0x83, 0xa7, 0x9e, 0xdf, 0xc0, 0x94, 0x2b, 0x7d, 0x1a, 0xd0, 0x1d, 0xcc, 0x2e, 0x7d, 0xd4, 0x85, 0xe7, 0xc1, 0x15, 0x66, 0xd6, 0xd6, 0x32, 0xb8, 0xf7, 0x63, 0xaa, 0x3b, 0xa5, 0xea, 0x49, 0xad, 0x88, 0x9b, 0x66},
|
||||
subYX: fp.Elt{0x09, 0x97, 0x79, 0x36, 0x41, 0x56, 0x9b, 0xdf, 0x15, 0xd8, 0x43, 0x28, 0x17, 0x5b, 0x96, 0xc9, 0xcf, 0x39, 0x1f, 0x13, 0xf7, 0x4d, 0x1d, 0x1f, 0xda, 0x51, 0x56, 0xe7, 0x0a, 0x5a, 0x65, 0xb6, 0x2a, 0x87, 0x49, 0x86, 0xc2, 0x2b, 0xcd, 0xfe, 0x07, 0xf6, 0x4c, 0xe2, 0x1d, 0x9b, 0xd8, 0x82, 0x09, 0x5b, 0x11, 0x10, 0x62, 0x56, 0x89, 0xbd},
|
||||
dt2: fp.Elt{0xd9, 0x15, 0x73, 0xf2, 0x96, 0x35, 0x53, 0xb0, 0xe7, 0xa8, 0x0b, 0x93, 0x35, 0x0b, 0x3a, 0x00, 0xf5, 0x18, 0xb1, 0xc3, 0x12, 0x3f, 0x91, 0x17, 0xc1, 0x4c, 0x15, 0x5a, 0x86, 0x92, 0x11, 0xbd, 0x44, 0x40, 0x5a, 0x7b, 0x15, 0x89, 0xba, 0xc1, 0xc1, 0xbc, 0x43, 0x45, 0xe6, 0x52, 0x02, 0x73, 0x0a, 0xd0, 0x2a, 0x19, 0xda, 0x47, 0xa8, 0xff},
|
||||
},
|
||||
},
|
||||
}
|
||||
|
||||
// tabVerif contains the odd multiples of P. The entry T[i] = (2i+1)P, where
|
||||
// P = phi(G) and G is the generator of the Goldilocks curve, and phi is a
|
||||
// 4-degree isogeny.
|
||||
var tabVerif = [1 << (omegaFix - 2)]preTwistPointAffine{
|
||||
{ /* 1P*/
|
||||
addYX: fp.Elt{0x65, 0x4a, 0xdd, 0xdf, 0xb4, 0x79, 0x60, 0xc8, 0xa1, 0x70, 0xb4, 0x3a, 0x1e, 0x0c, 0x9b, 0x19, 0xe5, 0x48, 0x3f, 0xd7, 0x44, 0x18, 0x18, 0x14, 0x14, 0x27, 0x45, 0xd0, 0x2b, 0x24, 0xd5, 0x93, 0xc3, 0x74, 0x4c, 0x50, 0x70, 0x43, 0x26, 0x05, 0x08, 0x24, 0xca, 0x78, 0x30, 0xc1, 0x06, 0x8d, 0xd4, 0x86, 0x42, 0xf0, 0x14, 0xde, 0x08, 0x05},
|
||||
subYX: fp.Elt{0x64, 0x4a, 0xdd, 0xdf, 0xb4, 0x79, 0x60, 0xc8, 0xa1, 0x70, 0xb4, 0x3a, 0x1e, 0x0c, 0x9b, 0x19, 0xe5, 0x48, 0x3f, 0xd7, 0x44, 0x18, 0x18, 0x14, 0x14, 0x27, 0x45, 0xd0, 0x2d, 0x24, 0xd5, 0x93, 0xc3, 0x74, 0x4c, 0x50, 0x70, 0x43, 0x26, 0x05, 0x08, 0x24, 0xca, 0x78, 0x30, 0xc1, 0x06, 0x8d, 0xd4, 0x86, 0x42, 0xf0, 0x14, 0xde, 0x08, 0x05},
|
||||
dt2: fp.Elt{0x1a, 0x33, 0xea, 0x64, 0x45, 0x1c, 0xdf, 0x17, 0x1d, 0x16, 0x34, 0x28, 0xd6, 0x61, 0x19, 0x67, 0x79, 0xb4, 0x13, 0xcf, 0x3e, 0x7c, 0x0e, 0x72, 0xda, 0xf1, 0x5f, 0xda, 0xe6, 0xcf, 0x42, 0xd3, 0xb6, 0x17, 0xc2, 0x68, 0x13, 0x2d, 0xd9, 0x60, 0x3e, 0xae, 0xf0, 0x5b, 0x96, 0xf0, 0xcd, 0xaf, 0xea, 0xb7, 0x0d, 0x59, 0x16, 0xa7, 0xff, 0x55},
|
||||
},
|
||||
{ /* 3P*/
|
||||
addYX: fp.Elt{0xd1, 0xe9, 0xa8, 0x33, 0x20, 0x76, 0x18, 0x08, 0x45, 0x2a, 0xc9, 0x67, 0x2a, 0xc3, 0x15, 0x24, 0xf9, 0x74, 0x21, 0x30, 0x99, 0x59, 0x8b, 0xb2, 0xf0, 0xa4, 0x07, 0xe2, 0x6a, 0x36, 0x8d, 0xd9, 0xd2, 0x4a, 0x7f, 0x73, 0x50, 0x39, 0x3d, 0xaa, 0xa7, 0x51, 0x73, 0x0d, 0x2b, 0x8b, 0x96, 0x47, 0xac, 0x3c, 0x5d, 0xaa, 0x39, 0x9c, 0xcf, 0xd5},
|
||||
subYX: fp.Elt{0x6b, 0x11, 0x5d, 0x1a, 0xf9, 0x41, 0x9d, 0xc5, 0x30, 0x3e, 0xad, 0x25, 0x2c, 0x04, 0x45, 0xea, 0xcc, 0x67, 0x07, 0x85, 0xe9, 0xda, 0x0e, 0xb5, 0x40, 0xb7, 0x32, 0xb4, 0x49, 0xdd, 0xff, 0xaa, 0xfc, 0xbb, 0x19, 0xca, 0x8b, 0x79, 0x2b, 0x8f, 0x8d, 0x00, 0x33, 0xc2, 0xad, 0xe9, 0xd3, 0x12, 0xa8, 0xaa, 0x87, 0x62, 0xad, 0x2d, 0xff, 0xa4},
|
||||
dt2: fp.Elt{0xb0, 0xaf, 0x3b, 0xea, 0xf0, 0x42, 0x0b, 0x5e, 0x88, 0xd3, 0x98, 0x08, 0x87, 0x59, 0x72, 0x0a, 0xc2, 0xdf, 0xcb, 0x7f, 0x59, 0xb5, 0x4c, 0x63, 0x68, 0xe8, 0x41, 0x38, 0x67, 0x4f, 0xe9, 0xc6, 0xb2, 0x6b, 0x08, 0xa7, 0xf7, 0x0e, 0xcd, 0xea, 0xca, 0x3d, 0xaf, 0x8e, 0xda, 0x4b, 0x2e, 0xd2, 0x88, 0x64, 0x8d, 0xc5, 0x5f, 0x76, 0x0f, 0x3d},
|
||||
},
|
||||
{ /* 5P*/
|
||||
addYX: fp.Elt{0xe5, 0x65, 0xc9, 0xe2, 0x75, 0xf0, 0x7d, 0x1a, 0xba, 0xa4, 0x40, 0x4b, 0x93, 0x12, 0xa2, 0x80, 0x95, 0x0d, 0x03, 0x93, 0xe8, 0xa5, 0x4d, 0xe2, 0x3d, 0x81, 0xf5, 0xce, 0xd4, 0x2d, 0x25, 0x59, 0x16, 0x5c, 0xe7, 0xda, 0xc7, 0x45, 0xd2, 0x7e, 0x2c, 0x38, 0xd4, 0x37, 0x64, 0xb2, 0xc2, 0x28, 0xc5, 0x72, 0x16, 0x32, 0x45, 0x36, 0x6f, 0x9f},
|
||||
subYX: fp.Elt{0x09, 0xf4, 0x7e, 0xbd, 0x89, 0xdb, 0x19, 0x58, 0xe1, 0x08, 0x00, 0x8a, 0xf4, 0x5f, 0x2a, 0x32, 0x40, 0xf0, 0x2c, 0x3f, 0x5d, 0xe4, 0xfc, 0x89, 0x11, 0x24, 0xb4, 0x2f, 0x97, 0xad, 0xac, 0x8f, 0x19, 0xab, 0xfa, 0x12, 0xe5, 0xf9, 0x50, 0x4e, 0x50, 0x6f, 0x32, 0x30, 0x88, 0xa6, 0xe5, 0x48, 0x28, 0xa2, 0x1b, 0x9f, 0xcd, 0xe2, 0x43, 0x38},
|
||||
dt2: fp.Elt{0xa9, 0xcc, 0x53, 0x39, 0x86, 0x02, 0x60, 0x75, 0x34, 0x99, 0x57, 0xbd, 0xfc, 0x5a, 0x8e, 0xce, 0x5e, 0x98, 0x22, 0xd0, 0xa5, 0x24, 0xff, 0x90, 0x28, 0x9f, 0x58, 0xf3, 0x39, 0xe9, 0xba, 0x36, 0x23, 0xfb, 0x7f, 0x41, 0xcc, 0x2b, 0x5a, 0x25, 0x3f, 0x4c, 0x2a, 0xf1, 0x52, 0x6f, 0x2f, 0x07, 0xe3, 0x88, 0x81, 0x77, 0xdd, 0x7c, 0x88, 0x82},
|
||||
},
|
||||
{ /* 7P*/
|
||||
addYX: fp.Elt{0xf7, 0xee, 0x88, 0xfd, 0x3a, 0xbf, 0x7e, 0x28, 0x39, 0x23, 0x79, 0xe6, 0x5c, 0x56, 0xcb, 0xb5, 0x48, 0x6a, 0x80, 0x6d, 0x37, 0x60, 0x6c, 0x10, 0x35, 0x49, 0x4b, 0x46, 0x60, 0xd4, 0x79, 0xd4, 0x53, 0xd3, 0x67, 0x88, 0xd0, 0x41, 0xd5, 0x43, 0x85, 0xc8, 0x71, 0xe3, 0x1c, 0xb6, 0xda, 0x22, 0x64, 0x8f, 0x80, 0xac, 0xad, 0x7d, 0xd5, 0x82},
|
||||
subYX: fp.Elt{0x92, 0x40, 0xc1, 0x83, 0x21, 0x9b, 0xd5, 0x7d, 0x3f, 0x29, 0xb6, 0x26, 0xef, 0x12, 0xb9, 0x27, 0x39, 0x42, 0x37, 0x97, 0x09, 0x9a, 0x08, 0xe1, 0x68, 0xb6, 0x7a, 0x3f, 0x9f, 0x45, 0xf8, 0x37, 0x19, 0x83, 0x97, 0xe6, 0x73, 0x30, 0x32, 0x35, 0xcf, 0xae, 0x5c, 0x12, 0x68, 0xdf, 0x6e, 0x2b, 0xde, 0x83, 0xa0, 0x44, 0x74, 0x2e, 0x4a, 0xe9},
|
||||
dt2: fp.Elt{0xcb, 0x22, 0x0a, 0xda, 0x6b, 0xc1, 0x8a, 0x29, 0xa1, 0xac, 0x8b, 0x5b, 0x8b, 0x32, 0x20, 0xf2, 0x21, 0xae, 0x0c, 0x43, 0xc4, 0xd7, 0x19, 0x37, 0x3d, 0x79, 0x25, 0x98, 0x6c, 0x9c, 0x22, 0x31, 0x2a, 0x55, 0x9f, 0xda, 0x5e, 0xa8, 0x13, 0xdb, 0x8e, 0x2e, 0x16, 0x39, 0xf4, 0x91, 0x6f, 0xec, 0x71, 0x71, 0xc9, 0x10, 0xf2, 0xa4, 0x8f, 0x11},
|
||||
},
|
||||
{ /* 9P*/
|
||||
addYX: fp.Elt{0x85, 0xdd, 0x37, 0x62, 0x74, 0x8e, 0x33, 0x5b, 0x25, 0x12, 0x1b, 0xe7, 0xdf, 0x47, 0xe5, 0x12, 0xfd, 0x3a, 0x3a, 0xf5, 0x5d, 0x4c, 0xa2, 0x29, 0x3c, 0x5c, 0x2f, 0xee, 0x18, 0x19, 0x0a, 0x2b, 0xef, 0x67, 0x50, 0x7a, 0x0d, 0x29, 0xae, 0x55, 0x82, 0xcd, 0xd6, 0x41, 0x90, 0xb4, 0x13, 0x31, 0x5d, 0x11, 0xb8, 0xaa, 0x12, 0x86, 0x08, 0xac},
|
||||
subYX: fp.Elt{0xcc, 0x37, 0x8d, 0x83, 0x5f, 0xfd, 0xde, 0xd5, 0xf7, 0xf1, 0xae, 0x0a, 0xa7, 0x0b, 0xeb, 0x6d, 0x19, 0x8a, 0xb6, 0x1a, 0x59, 0xd8, 0xff, 0x3c, 0xbc, 0xbc, 0xef, 0x9c, 0xda, 0x7b, 0x75, 0x12, 0xaf, 0x80, 0x8f, 0x2c, 0x3c, 0xaa, 0x0b, 0x17, 0x86, 0x36, 0x78, 0x18, 0xc8, 0x8a, 0xf6, 0xb8, 0x2c, 0x2f, 0x57, 0x2c, 0x62, 0x57, 0xf6, 0x90},
|
||||
dt2: fp.Elt{0x83, 0xbc, 0xa2, 0x07, 0xa5, 0x38, 0x96, 0xea, 0xfe, 0x11, 0x46, 0x1d, 0x3b, 0xcd, 0x42, 0xc5, 0xee, 0x67, 0x04, 0x72, 0x08, 0xd8, 0xd9, 0x96, 0x07, 0xf7, 0xac, 0xc3, 0x64, 0xf1, 0x98, 0x2c, 0x55, 0xd7, 0x7d, 0xc8, 0x6c, 0xbd, 0x2c, 0xff, 0x15, 0xd6, 0x6e, 0xb8, 0x17, 0x8e, 0xa8, 0x27, 0x66, 0xb1, 0x73, 0x79, 0x96, 0xff, 0x29, 0x10},
|
||||
},
|
||||
{ /* 11P*/
|
||||
addYX: fp.Elt{0x76, 0xcb, 0x9b, 0x0c, 0x5b, 0xfe, 0xe1, 0x2a, 0xdd, 0x6f, 0x6c, 0xdd, 0x6f, 0xb4, 0xc0, 0xc2, 0x1b, 0x4b, 0x38, 0xe8, 0x66, 0x8c, 0x1e, 0x31, 0x63, 0xb9, 0x94, 0xcd, 0xc3, 0x8c, 0x44, 0x25, 0x7b, 0xd5, 0x39, 0x80, 0xfc, 0x01, 0xaa, 0xf7, 0x2a, 0x61, 0x8a, 0x25, 0xd2, 0x5f, 0xc5, 0x66, 0x38, 0xa4, 0x17, 0xcf, 0x3e, 0x11, 0x0f, 0xa3},
|
||||
subYX: fp.Elt{0xe0, 0xb6, 0xd1, 0x9c, 0x71, 0x49, 0x2e, 0x7b, 0xde, 0x00, 0xda, 0x6b, 0xf1, 0xec, 0xe6, 0x7a, 0x15, 0x38, 0x71, 0xe9, 0x7b, 0xdb, 0xf8, 0x98, 0xc0, 0x91, 0x2e, 0x53, 0xee, 0x92, 0x87, 0x25, 0xc9, 0xb0, 0xbb, 0x33, 0x15, 0x46, 0x7f, 0xfd, 0x4f, 0x8b, 0x77, 0x05, 0x96, 0xb6, 0xe2, 0x08, 0xdb, 0x0d, 0x09, 0xee, 0x5b, 0xd1, 0x2a, 0x63},
|
||||
dt2: fp.Elt{0x8f, 0x7b, 0x57, 0x8c, 0xbf, 0x06, 0x0d, 0x43, 0x21, 0x92, 0x94, 0x2d, 0x6a, 0x38, 0x07, 0x0f, 0xa0, 0xf1, 0xe3, 0xd8, 0x2a, 0xbf, 0x46, 0xc6, 0x9e, 0x1f, 0x8f, 0x2b, 0x46, 0x84, 0x0b, 0x74, 0xed, 0xff, 0xf8, 0xa5, 0x94, 0xae, 0xf1, 0x67, 0xb1, 0x9b, 0xdd, 0x4a, 0xd0, 0xdb, 0xc2, 0xb5, 0x58, 0x49, 0x0c, 0xa9, 0x1d, 0x7d, 0xa9, 0xd3},
|
||||
},
|
||||
{ /* 13P*/
|
||||
addYX: fp.Elt{0x73, 0x84, 0x2e, 0x31, 0x1f, 0xdc, 0xed, 0x9f, 0x74, 0xfa, 0xe0, 0x35, 0xb1, 0x85, 0x6a, 0x8d, 0x86, 0xd0, 0xff, 0xd6, 0x08, 0x43, 0x73, 0x1a, 0xd5, 0xf8, 0x43, 0xd4, 0xb3, 0xe5, 0x3f, 0xa8, 0x84, 0x17, 0x59, 0x65, 0x4e, 0xe6, 0xee, 0x54, 0x9c, 0xda, 0x5e, 0x7e, 0x98, 0x29, 0x6d, 0x73, 0x34, 0x1f, 0x99, 0x80, 0x54, 0x54, 0x81, 0x0b},
|
||||
subYX: fp.Elt{0xb1, 0xe5, 0xbb, 0x80, 0x22, 0x9c, 0x81, 0x6d, 0xaf, 0x27, 0x65, 0x6f, 0x7e, 0x9c, 0xb6, 0x8d, 0x35, 0x5c, 0x2e, 0x20, 0x48, 0x7a, 0x28, 0xf0, 0x97, 0xfe, 0xb7, 0x71, 0xce, 0xd6, 0xad, 0x3a, 0x81, 0xf6, 0x74, 0x5e, 0xf3, 0xfd, 0x1b, 0xd4, 0x1e, 0x7c, 0xc2, 0xb7, 0xc8, 0xa6, 0xc9, 0x89, 0x03, 0x47, 0xec, 0x24, 0xd6, 0x0e, 0xec, 0x9c},
|
||||
dt2: fp.Elt{0x91, 0x0a, 0x43, 0x34, 0x20, 0xc2, 0x64, 0xf7, 0x4e, 0x48, 0xc8, 0xd2, 0x95, 0x83, 0xd1, 0xa4, 0xfb, 0x4e, 0x41, 0x3b, 0x0d, 0xd5, 0x07, 0xd9, 0xf1, 0x13, 0x16, 0x78, 0x54, 0x57, 0xd0, 0xf1, 0x4f, 0x20, 0xac, 0xcf, 0x9c, 0x3b, 0x33, 0x0b, 0x99, 0x54, 0xc3, 0x7f, 0x3e, 0x57, 0x26, 0x86, 0xd5, 0xa5, 0x2b, 0x8d, 0xe3, 0x19, 0x36, 0xf7},
|
||||
},
|
||||
{ /* 15P*/
|
||||
addYX: fp.Elt{0x23, 0x69, 0x47, 0x14, 0xf9, 0x9a, 0x50, 0xff, 0x64, 0xd1, 0x50, 0x35, 0xc3, 0x11, 0xd3, 0x19, 0xcf, 0x87, 0xda, 0x30, 0x0b, 0x50, 0xda, 0xc0, 0xe0, 0x25, 0x00, 0xe5, 0x68, 0x93, 0x04, 0xc2, 0xaf, 0xbd, 0x2f, 0x36, 0x5f, 0x47, 0x96, 0x10, 0xa8, 0xbd, 0xe4, 0x88, 0xac, 0x80, 0x52, 0x61, 0x73, 0xe9, 0x63, 0xdd, 0x99, 0xad, 0x20, 0x5b},
|
||||
subYX: fp.Elt{0x1b, 0x5e, 0xa2, 0x2a, 0x25, 0x0f, 0x86, 0xc0, 0xb1, 0x2e, 0x0c, 0x13, 0x40, 0x8d, 0xf0, 0xe6, 0x00, 0x55, 0x08, 0xc5, 0x7d, 0xf4, 0xc9, 0x31, 0x25, 0x3a, 0x99, 0x69, 0xdd, 0x67, 0x63, 0x9a, 0xd6, 0x89, 0x2e, 0xa1, 0x19, 0xca, 0x2c, 0xd9, 0x59, 0x5f, 0x5d, 0xc3, 0x6e, 0x62, 0x36, 0x12, 0x59, 0x15, 0xe1, 0xdc, 0xa4, 0xad, 0xc9, 0xd0},
|
||||
dt2: fp.Elt{0xbc, 0xea, 0xfc, 0xaf, 0x66, 0x23, 0xb7, 0x39, 0x6b, 0x2a, 0x96, 0xa8, 0x54, 0x43, 0xe9, 0xaa, 0x32, 0x40, 0x63, 0x92, 0x5e, 0xdf, 0x35, 0xc2, 0x9f, 0x24, 0x0c, 0xed, 0xfc, 0xde, 0x73, 0x8f, 0xa7, 0xd5, 0xa3, 0x2b, 0x18, 0x1f, 0xb0, 0xf8, 0xeb, 0x55, 0xd9, 0xc3, 0xfd, 0x28, 0x7c, 0x4f, 0xce, 0x0d, 0xf7, 0xae, 0xc2, 0x83, 0xc3, 0x78},
|
||||
},
|
||||
{ /* 17P*/
|
||||
addYX: fp.Elt{0x71, 0xe6, 0x60, 0x93, 0x37, 0xdb, 0x01, 0xa5, 0x4c, 0xba, 0xe8, 0x8e, 0xd5, 0xf9, 0xd3, 0x98, 0xe5, 0xeb, 0xab, 0x3a, 0x15, 0x8b, 0x35, 0x60, 0xbe, 0xe5, 0x9c, 0x2d, 0x10, 0x9b, 0x2e, 0xcf, 0x65, 0x64, 0xea, 0x8f, 0x72, 0xce, 0xf5, 0x18, 0xe5, 0xe2, 0xf0, 0x0e, 0xae, 0x04, 0xec, 0xa0, 0x20, 0x65, 0x63, 0x07, 0xb1, 0x9f, 0x03, 0x97},
|
||||
subYX: fp.Elt{0x9e, 0x41, 0x64, 0x30, 0x95, 0x7f, 0x3a, 0x89, 0x7b, 0x0a, 0x79, 0x59, 0x23, 0x9a, 0x3b, 0xfe, 0xa4, 0x13, 0x08, 0xb2, 0x2e, 0x04, 0x50, 0x10, 0x30, 0xcd, 0x2e, 0xa4, 0x91, 0x71, 0x50, 0x36, 0x4a, 0x02, 0xf4, 0x8d, 0xa3, 0x36, 0x1b, 0xf4, 0x52, 0xba, 0x15, 0x04, 0x8b, 0x80, 0x25, 0xd9, 0xae, 0x67, 0x20, 0xd9, 0x88, 0x8f, 0x97, 0xa6},
|
||||
dt2: fp.Elt{0xb5, 0xe7, 0x46, 0xbd, 0x55, 0x23, 0xa0, 0x68, 0xc0, 0x12, 0xd9, 0xf1, 0x0a, 0x75, 0xe2, 0xda, 0xf4, 0x6b, 0xca, 0x14, 0xe4, 0x9f, 0x0f, 0xb5, 0x3c, 0xa6, 0xa5, 0xa2, 0x63, 0x94, 0xd1, 0x1c, 0x39, 0x58, 0x57, 0x02, 0x27, 0x98, 0xb6, 0x47, 0xc6, 0x61, 0x4b, 0x5c, 0xab, 0x6f, 0x2d, 0xab, 0xe3, 0xc1, 0x69, 0xf9, 0x12, 0xb0, 0xc8, 0xd5},
|
||||
},
|
||||
{ /* 19P*/
|
||||
addYX: fp.Elt{0x19, 0x7d, 0xd5, 0xac, 0x79, 0xa2, 0x82, 0x9b, 0x28, 0x31, 0x22, 0xc0, 0x73, 0x02, 0x76, 0x17, 0x10, 0x70, 0x79, 0x57, 0xc9, 0x84, 0x62, 0x8e, 0x04, 0x04, 0x61, 0x67, 0x08, 0x48, 0xb4, 0x4b, 0xde, 0x53, 0x8c, 0xff, 0x36, 0x1b, 0x62, 0x86, 0x5d, 0xe1, 0x9b, 0xb1, 0xe5, 0xe8, 0x44, 0x64, 0xa1, 0x68, 0x3f, 0xa8, 0x45, 0x52, 0x91, 0xed},
|
||||
subYX: fp.Elt{0x42, 0x1a, 0x36, 0x1f, 0x90, 0x15, 0x24, 0x8d, 0x24, 0x80, 0xe6, 0xfe, 0x1e, 0xf0, 0xad, 0xaf, 0x6a, 0x93, 0xf0, 0xa6, 0x0d, 0x5d, 0xea, 0xf6, 0x62, 0x96, 0x7a, 0x05, 0x76, 0x85, 0x74, 0x32, 0xc7, 0xc8, 0x64, 0x53, 0x62, 0xe7, 0x54, 0x84, 0xe0, 0x40, 0x66, 0x19, 0x70, 0x40, 0x95, 0x35, 0x68, 0x64, 0x43, 0xcd, 0xba, 0x29, 0x32, 0xa8},
|
||||
dt2: fp.Elt{0x3e, 0xf6, 0xd6, 0xe4, 0x99, 0xeb, 0x20, 0x66, 0x08, 0x2e, 0x26, 0x64, 0xd7, 0x76, 0xf3, 0xb4, 0xc5, 0xa4, 0x35, 0x92, 0xd2, 0x99, 0x70, 0x5a, 0x1a, 0xe9, 0xe9, 0x3d, 0x3b, 0xe1, 0xcd, 0x0e, 0xee, 0x24, 0x13, 0x03, 0x22, 0xd6, 0xd6, 0x72, 0x08, 0x2b, 0xde, 0xfd, 0x93, 0xed, 0x0c, 0x7f, 0x5e, 0x31, 0x22, 0x4d, 0x80, 0x78, 0xc0, 0x48},
|
||||
},
|
||||
{ /* 21P*/
|
||||
addYX: fp.Elt{0x8f, 0x72, 0xd2, 0x9e, 0xc4, 0xcd, 0x2c, 0xbf, 0xa8, 0xd3, 0x24, 0x62, 0x28, 0xee, 0x39, 0x0a, 0x19, 0x3a, 0x58, 0xff, 0x21, 0x2e, 0x69, 0x6c, 0x6e, 0x18, 0xd0, 0xcd, 0x61, 0xc1, 0x18, 0x02, 0x5a, 0xe9, 0xe3, 0xef, 0x1f, 0x8e, 0x10, 0xe8, 0x90, 0x2b, 0x48, 0xcd, 0xee, 0x38, 0xbd, 0x3a, 0xca, 0xbc, 0x2d, 0xe2, 0x3a, 0x03, 0x71, 0x02},
|
||||
subYX: fp.Elt{0xf8, 0xa4, 0x32, 0x26, 0x66, 0xaf, 0x3b, 0x53, 0xe7, 0xb0, 0x91, 0x92, 0xf5, 0x3c, 0x74, 0xce, 0xf2, 0xdd, 0x68, 0xa9, 0xf4, 0xcd, 0x5f, 0x60, 0xab, 0x71, 0xdf, 0xcd, 0x5c, 0x5d, 0x51, 0x72, 0x3a, 0x96, 0xea, 0xd6, 0xde, 0x54, 0x8e, 0x55, 0x4c, 0x08, 0x4c, 0x60, 0xdd, 0x34, 0xa9, 0x6f, 0xf3, 0x04, 0x02, 0xa8, 0xa6, 0x4e, 0x4d, 0x62},
|
||||
dt2: fp.Elt{0x76, 0x4a, 0xae, 0x38, 0x62, 0x69, 0x72, 0xdc, 0xe8, 0x43, 0xbe, 0x1d, 0x61, 0xde, 0x31, 0xc3, 0x42, 0x8f, 0x33, 0x9d, 0xca, 0xc7, 0x9c, 0xec, 0x6a, 0xe2, 0xaa, 0x01, 0x49, 0x78, 0x8d, 0x72, 0x4f, 0x38, 0xea, 0x52, 0xc2, 0xd3, 0xc9, 0x39, 0x71, 0xba, 0xb9, 0x09, 0x9b, 0xa3, 0x7f, 0x45, 0x43, 0x65, 0x36, 0x29, 0xca, 0xe7, 0x5c, 0x5f},
|
||||
},
|
||||
{ /* 23P*/
|
||||
addYX: fp.Elt{0x89, 0x42, 0x35, 0x48, 0x6d, 0x74, 0xe5, 0x1f, 0xc3, 0xdd, 0x28, 0x5b, 0x84, 0x41, 0x33, 0x9f, 0x42, 0xf3, 0x1d, 0x5d, 0x15, 0x6d, 0x76, 0x33, 0x36, 0xaf, 0xe9, 0xdd, 0xfa, 0x63, 0x4f, 0x7a, 0x9c, 0xeb, 0x1c, 0x4f, 0x34, 0x65, 0x07, 0x54, 0xbb, 0x4c, 0x8b, 0x62, 0x9d, 0xd0, 0x06, 0x99, 0xb3, 0xe9, 0xda, 0x85, 0x19, 0xb0, 0x3d, 0x3c},
|
||||
subYX: fp.Elt{0xbb, 0x99, 0xf6, 0xbf, 0xaf, 0x2c, 0x22, 0x0d, 0x7a, 0xaa, 0x98, 0x6f, 0x01, 0x82, 0x99, 0xcf, 0x88, 0xbd, 0x0e, 0x3a, 0x89, 0xe0, 0x9c, 0x8c, 0x17, 0x20, 0xc4, 0xe0, 0xcf, 0x43, 0x7a, 0xef, 0x0d, 0x9f, 0x87, 0xd4, 0xfb, 0xf2, 0x96, 0xb8, 0x03, 0xe8, 0xcb, 0x5c, 0xec, 0x65, 0x5f, 0x49, 0xa4, 0x7c, 0x85, 0xb4, 0xf6, 0xc7, 0xdb, 0xa3},
|
||||
dt2: fp.Elt{0x11, 0xf3, 0x32, 0xa3, 0xa7, 0xb2, 0x7d, 0x51, 0x82, 0x44, 0xeb, 0xa2, 0x7d, 0x72, 0xcb, 0xc6, 0xf6, 0xc7, 0xb2, 0x38, 0x0e, 0x0f, 0x4f, 0x29, 0x00, 0xe4, 0x5b, 0x94, 0x46, 0x86, 0x66, 0xa1, 0x83, 0xb3, 0xeb, 0x15, 0xb6, 0x31, 0x50, 0x28, 0xeb, 0xed, 0x0d, 0x32, 0x39, 0xe9, 0x23, 0x81, 0x99, 0x3e, 0xff, 0x17, 0x4c, 0x11, 0x43, 0xd1},
|
||||
},
|
||||
{ /* 25P*/
|
||||
addYX: fp.Elt{0xce, 0xe7, 0xf8, 0x94, 0x8f, 0x96, 0xf8, 0x96, 0xe6, 0x72, 0x20, 0x44, 0x2c, 0xa7, 0xfc, 0xba, 0xc8, 0xe1, 0xbb, 0xc9, 0x16, 0x85, 0xcd, 0x0b, 0xe5, 0xb5, 0x5a, 0x7f, 0x51, 0x43, 0x63, 0x8b, 0x23, 0x8e, 0x1d, 0x31, 0xff, 0x46, 0x02, 0x66, 0xcc, 0x9e, 0x4d, 0xa2, 0xca, 0xe2, 0xc7, 0xfd, 0x22, 0xb1, 0xdb, 0xdf, 0x6f, 0xe6, 0xa5, 0x82},
|
||||
subYX: fp.Elt{0xd0, 0xf5, 0x65, 0x40, 0xec, 0x8e, 0x65, 0x42, 0x78, 0xc1, 0x65, 0xe4, 0x10, 0xc8, 0x0b, 0x1b, 0xdd, 0x96, 0x68, 0xce, 0xee, 0x45, 0x55, 0xd8, 0x6e, 0xd3, 0xe6, 0x77, 0x19, 0xae, 0xc2, 0x8d, 0x8d, 0x3e, 0x14, 0x3f, 0x6d, 0x00, 0x2f, 0x9b, 0xd1, 0x26, 0x60, 0x28, 0x0f, 0x3a, 0x47, 0xb3, 0xe6, 0x68, 0x28, 0x24, 0x25, 0xca, 0xc8, 0x06},
|
||||
dt2: fp.Elt{0x54, 0xbb, 0x60, 0x92, 0xdb, 0x8f, 0x0f, 0x38, 0xe0, 0xe6, 0xe4, 0xc9, 0xcc, 0x14, 0x62, 0x01, 0xc4, 0x2b, 0x0f, 0xcf, 0xed, 0x7d, 0x8e, 0xa4, 0xd9, 0x73, 0x0b, 0xba, 0x0c, 0xaf, 0x0c, 0xf9, 0xe2, 0xeb, 0x29, 0x2a, 0x53, 0xdf, 0x2c, 0x5a, 0xfa, 0x8f, 0xc1, 0x01, 0xd7, 0xb1, 0x45, 0x73, 0x92, 0x32, 0x83, 0x85, 0x12, 0x74, 0x89, 0x44},
|
||||
},
|
||||
{ /* 27P*/
|
||||
addYX: fp.Elt{0x0b, 0x73, 0x3c, 0xc2, 0xb1, 0x2e, 0xe1, 0xa7, 0xf5, 0xc9, 0x7a, 0xfb, 0x3d, 0x2d, 0xac, 0x59, 0xdb, 0xfa, 0x36, 0x11, 0xd1, 0x13, 0x04, 0x51, 0x1d, 0xab, 0x9b, 0x6b, 0x93, 0xfe, 0xda, 0xb0, 0x8e, 0xb4, 0x79, 0x11, 0x21, 0x0f, 0x65, 0xb9, 0xbb, 0x79, 0x96, 0x2a, 0xfd, 0x30, 0xe0, 0xb4, 0x2d, 0x9a, 0x55, 0x25, 0x5d, 0xd4, 0xad, 0x2a},
|
||||
subYX: fp.Elt{0x9e, 0xc5, 0x04, 0xfe, 0xec, 0x3c, 0x64, 0x1c, 0xed, 0x95, 0xed, 0xae, 0xaf, 0x5c, 0x6e, 0x08, 0x9e, 0x02, 0x29, 0x59, 0x7e, 0x5f, 0xc4, 0x9a, 0xd5, 0x32, 0x72, 0x86, 0xe1, 0x4e, 0x3c, 0xce, 0x99, 0x69, 0x3b, 0xc4, 0xdd, 0x4d, 0xb7, 0xbb, 0xda, 0x3b, 0x1a, 0x99, 0xaa, 0x62, 0x15, 0xc1, 0xf0, 0xb6, 0x6c, 0xec, 0x56, 0xc1, 0xff, 0x0c},
|
||||
dt2: fp.Elt{0x2f, 0xf1, 0x3f, 0x7a, 0x2d, 0x56, 0x19, 0x7f, 0xea, 0xbe, 0x59, 0x2e, 0x13, 0x67, 0x81, 0xfb, 0xdb, 0xc8, 0xa3, 0x1d, 0xd5, 0xe9, 0x13, 0x8b, 0x29, 0xdf, 0xcf, 0x9f, 0xe7, 0xd9, 0x0b, 0x70, 0xd3, 0x15, 0x57, 0x4a, 0xe9, 0x50, 0x12, 0x1b, 0x81, 0x4b, 0x98, 0x98, 0xa8, 0x31, 0x1d, 0x27, 0x47, 0x38, 0xed, 0x57, 0x99, 0x26, 0xb2, 0xee},
|
||||
},
|
||||
{ /* 29P*/
|
||||
addYX: fp.Elt{0x1c, 0xb2, 0xb2, 0x67, 0x3b, 0x8b, 0x3d, 0x5a, 0x30, 0x7e, 0x38, 0x7e, 0x3c, 0x3d, 0x28, 0x56, 0x59, 0xd8, 0x87, 0x53, 0x8b, 0xe6, 0x6c, 0x5d, 0xe5, 0x0a, 0x33, 0x10, 0xce, 0xa2, 0x17, 0x0d, 0xe8, 0x76, 0xee, 0x68, 0xa8, 0x72, 0x54, 0xbd, 0xa6, 0x24, 0x94, 0x6e, 0x77, 0xc7, 0x53, 0xb7, 0x89, 0x1c, 0x7a, 0xe9, 0x78, 0x9a, 0x74, 0x5f},
|
||||
subYX: fp.Elt{0x76, 0x96, 0x1c, 0xcf, 0x08, 0x55, 0xd8, 0x1e, 0x0d, 0xa3, 0x59, 0x95, 0x32, 0xf4, 0xc2, 0x8e, 0x84, 0x5e, 0x4b, 0x04, 0xda, 0x71, 0xc9, 0x78, 0x52, 0xde, 0x14, 0xb4, 0x31, 0xf4, 0xd4, 0xb8, 0x58, 0xc5, 0x20, 0xe8, 0xdd, 0x15, 0xb5, 0xee, 0xea, 0x61, 0xe0, 0xf5, 0xd6, 0xae, 0x55, 0x59, 0x05, 0x3e, 0xaf, 0x74, 0xac, 0x1f, 0x17, 0x82},
|
||||
dt2: fp.Elt{0x59, 0x24, 0xcd, 0xfc, 0x11, 0x7e, 0x85, 0x18, 0x3d, 0x69, 0xf7, 0x71, 0x31, 0x66, 0x98, 0x42, 0x95, 0x00, 0x8c, 0xb2, 0xae, 0x39, 0x7e, 0x85, 0xd6, 0xb0, 0x02, 0xec, 0xce, 0xfc, 0x25, 0xb2, 0xe3, 0x99, 0x8e, 0x5b, 0x61, 0x96, 0x2e, 0x6d, 0x96, 0x57, 0x71, 0xa5, 0x93, 0x41, 0x0e, 0x6f, 0xfd, 0x0a, 0xbf, 0xa9, 0xf7, 0x56, 0xa9, 0x3e},
|
||||
},
|
||||
{ /* 31P*/
|
||||
addYX: fp.Elt{0xa2, 0x2e, 0x0c, 0x17, 0x4d, 0xcc, 0x85, 0x2c, 0x18, 0xa0, 0xd2, 0x08, 0xba, 0x11, 0xfa, 0x47, 0x71, 0x86, 0xaf, 0x36, 0x6a, 0xd7, 0xfe, 0xb9, 0xb0, 0x2f, 0x89, 0x98, 0x49, 0x69, 0xf8, 0x6a, 0xad, 0x27, 0x5e, 0x0a, 0x22, 0x60, 0x5e, 0x5d, 0xca, 0x06, 0x51, 0x27, 0x99, 0x29, 0x85, 0x68, 0x98, 0xe1, 0xc4, 0x21, 0x50, 0xa0, 0xe9, 0xc1},
|
||||
subYX: fp.Elt{0x4d, 0x70, 0xee, 0x91, 0x92, 0x3f, 0xb7, 0xd3, 0x1d, 0xdb, 0x8d, 0x6e, 0x16, 0xf5, 0x65, 0x7d, 0x5f, 0xb5, 0x6c, 0x59, 0x26, 0x70, 0x4b, 0xf2, 0xfc, 0xe7, 0xdf, 0x86, 0xfe, 0xa5, 0xa7, 0xa6, 0x5d, 0xfb, 0x06, 0xe9, 0xf9, 0xcc, 0xc0, 0x37, 0xcc, 0xd8, 0x09, 0x04, 0xd2, 0xa5, 0x1d, 0xd7, 0xb7, 0xce, 0x92, 0xac, 0x3c, 0xad, 0xfb, 0xae},
|
||||
dt2: fp.Elt{0x17, 0xa3, 0x9a, 0xc7, 0x86, 0x2a, 0x51, 0xf7, 0x96, 0x79, 0x49, 0x22, 0x2e, 0x5a, 0x01, 0x5c, 0xb5, 0x95, 0xd4, 0xe8, 0xcb, 0x00, 0xca, 0x2d, 0x55, 0xb6, 0x34, 0x36, 0x0b, 0x65, 0x46, 0xf0, 0x49, 0xfc, 0x87, 0x86, 0xe5, 0xc3, 0x15, 0xdb, 0x32, 0xcd, 0xf2, 0xd3, 0x82, 0x4c, 0xe6, 0x61, 0x8a, 0xaf, 0xd4, 0x9e, 0x0f, 0x5a, 0xf2, 0x81},
|
||||
},
|
||||
{ /* 33P*/
|
||||
addYX: fp.Elt{0x88, 0x10, 0xc0, 0xcb, 0xf5, 0x77, 0xae, 0xa5, 0xbe, 0xf6, 0xcd, 0x2e, 0x8b, 0x7e, 0xbd, 0x79, 0x62, 0x4a, 0xeb, 0x69, 0xc3, 0x28, 0xaa, 0x72, 0x87, 0xa9, 0x25, 0x87, 0x46, 0xea, 0x0e, 0x62, 0xa3, 0x6a, 0x1a, 0xe2, 0xba, 0xdc, 0x81, 0x10, 0x33, 0x01, 0xf6, 0x16, 0x89, 0x80, 0xc6, 0xcd, 0xdb, 0xdc, 0xba, 0x0e, 0x09, 0x4a, 0x35, 0x4a},
|
||||
subYX: fp.Elt{0x86, 0xb2, 0x2b, 0xd0, 0xb8, 0x4a, 0x6d, 0x66, 0x7b, 0x32, 0xdf, 0x3b, 0x1a, 0x19, 0x1f, 0x63, 0xee, 0x1f, 0x3d, 0x1c, 0x5c, 0x14, 0x60, 0x5b, 0x72, 0x49, 0x07, 0xb1, 0x0d, 0x72, 0xc6, 0x35, 0xf0, 0xbc, 0x5e, 0xda, 0x80, 0x6b, 0x64, 0x5b, 0xe5, 0x34, 0x54, 0x39, 0xdd, 0xe6, 0x3c, 0xcb, 0xe5, 0x29, 0x32, 0x06, 0xc6, 0xb1, 0x96, 0x34},
|
||||
dt2: fp.Elt{0x85, 0x86, 0xf5, 0x84, 0x86, 0xe6, 0x77, 0x8a, 0x71, 0x85, 0x0c, 0x4f, 0x81, 0x5b, 0x29, 0x06, 0xb5, 0x2e, 0x26, 0x71, 0x07, 0x78, 0x07, 0xae, 0xbc, 0x95, 0x46, 0xc3, 0x65, 0xac, 0xe3, 0x76, 0x51, 0x7d, 0xd4, 0x85, 0x31, 0xe3, 0x43, 0xf3, 0x1b, 0x7c, 0xf7, 0x6b, 0x2c, 0xf8, 0x1c, 0xbb, 0x8d, 0xca, 0xab, 0x4b, 0xba, 0x7f, 0xa4, 0xe2},
|
||||
},
|
||||
{ /* 35P*/
|
||||
addYX: fp.Elt{0x1a, 0xee, 0xe7, 0xa4, 0x8a, 0x9d, 0x53, 0x80, 0xc6, 0xb8, 0x4e, 0xdc, 0x89, 0xe0, 0xc4, 0x2b, 0x60, 0x52, 0x6f, 0xec, 0x81, 0xd2, 0x55, 0x6b, 0x1b, 0x6f, 0x17, 0x67, 0x8e, 0x42, 0x26, 0x4c, 0x65, 0x23, 0x29, 0xc6, 0x7b, 0xcd, 0x9f, 0xad, 0x4b, 0x42, 0xd3, 0x0c, 0x75, 0xc3, 0x8a, 0xf5, 0xbe, 0x9e, 0x55, 0xf7, 0x47, 0x5d, 0xbd, 0x3a},
|
||||
subYX: fp.Elt{0x0d, 0xa8, 0x3b, 0xf9, 0xc7, 0x7e, 0xc6, 0x86, 0x94, 0xc0, 0x01, 0xff, 0x27, 0xce, 0x43, 0xac, 0xe5, 0xe1, 0xd2, 0x8d, 0xc1, 0x22, 0x31, 0xbe, 0xe1, 0xaf, 0xf9, 0x4a, 0x78, 0xa1, 0x0c, 0xaa, 0xd4, 0x80, 0xe4, 0x09, 0x8d, 0xfb, 0x1d, 0x52, 0xc8, 0x60, 0x2d, 0xf2, 0xa2, 0x89, 0x02, 0x56, 0x3d, 0x56, 0x27, 0x85, 0xc7, 0xf0, 0x2b, 0x9a},
|
||||
dt2: fp.Elt{0x62, 0x7c, 0xc7, 0x6b, 0x2c, 0x9d, 0x0a, 0x7c, 0xe5, 0x50, 0x3c, 0xe6, 0x87, 0x1c, 0x82, 0x30, 0x67, 0x3c, 0x39, 0xb6, 0xa0, 0x31, 0xfb, 0x03, 0x7b, 0xa1, 0x58, 0xdf, 0x12, 0x76, 0x5d, 0x5d, 0x0a, 0x8f, 0x9b, 0x37, 0x32, 0xc3, 0x60, 0x33, 0xea, 0x9f, 0x0a, 0x99, 0xfa, 0x20, 0xd0, 0x33, 0x21, 0xc3, 0x94, 0xd4, 0x86, 0x49, 0x7c, 0x4e},
|
||||
},
|
||||
{ /* 37P*/
|
||||
addYX: fp.Elt{0xc7, 0x0c, 0x71, 0xfe, 0x55, 0xd1, 0x95, 0x8f, 0x43, 0xbb, 0x6b, 0x74, 0x30, 0xbd, 0xe8, 0x6f, 0x1c, 0x1b, 0x06, 0x62, 0xf5, 0xfc, 0x65, 0xa0, 0xeb, 0x81, 0x12, 0xc9, 0x64, 0x66, 0x61, 0xde, 0xf3, 0x6d, 0xd4, 0xae, 0x8e, 0xb1, 0x72, 0xe0, 0xcd, 0x37, 0x01, 0x28, 0x52, 0xd7, 0x39, 0x46, 0x0c, 0x55, 0xcf, 0x47, 0x70, 0xef, 0xa1, 0x17},
|
||||
subYX: fp.Elt{0x8d, 0x58, 0xde, 0x83, 0x88, 0x16, 0x0e, 0x12, 0x42, 0x03, 0x50, 0x60, 0x4b, 0xdf, 0xbf, 0x95, 0xcc, 0x7d, 0x18, 0x17, 0x7e, 0x31, 0x5d, 0x8a, 0x66, 0xc1, 0xcf, 0x14, 0xea, 0xf4, 0xf4, 0xe5, 0x63, 0x2d, 0x32, 0x86, 0x9b, 0xed, 0x1f, 0x4f, 0x03, 0xaf, 0x33, 0x92, 0xcb, 0xaf, 0x9c, 0x05, 0x0d, 0x47, 0x1b, 0x42, 0xba, 0x13, 0x22, 0x98},
|
||||
dt2: fp.Elt{0xb5, 0x48, 0xeb, 0x7d, 0x3d, 0x10, 0x9f, 0x59, 0xde, 0xf8, 0x1c, 0x4f, 0x7d, 0x9d, 0x40, 0x4d, 0x9e, 0x13, 0x24, 0xb5, 0x21, 0x09, 0xb7, 0xee, 0x98, 0x5c, 0x56, 0xbc, 0x5e, 0x2b, 0x78, 0x38, 0x06, 0xac, 0xe3, 0xe0, 0xfa, 0x2e, 0xde, 0x4f, 0xd2, 0xb3, 0xfb, 0x2d, 0x71, 0x84, 0xd1, 0x9d, 0x12, 0x5b, 0x35, 0xc8, 0x03, 0x68, 0x67, 0xc7},
|
||||
},
|
||||
{ /* 39P*/
|
||||
addYX: fp.Elt{0xb6, 0x65, 0xfb, 0xa7, 0x06, 0x35, 0xbb, 0xe0, 0x31, 0x8d, 0x91, 0x40, 0x98, 0xab, 0x30, 0xe4, 0xca, 0x12, 0x59, 0x89, 0xed, 0x65, 0x5d, 0x7f, 0xae, 0x69, 0xa0, 0xa4, 0xfa, 0x78, 0xb4, 0xf7, 0xed, 0xae, 0x86, 0x78, 0x79, 0x64, 0x24, 0xa6, 0xd4, 0xe1, 0xf6, 0xd3, 0xa0, 0x89, 0xba, 0x20, 0xf4, 0x54, 0x0d, 0x8f, 0xdb, 0x1a, 0x79, 0xdb},
|
||||
subYX: fp.Elt{0xe1, 0x82, 0x0c, 0x4d, 0xde, 0x9f, 0x40, 0xf0, 0xc1, 0xbd, 0x8b, 0xd3, 0x24, 0x03, 0xcd, 0xf2, 0x92, 0x7d, 0xe2, 0x68, 0x7f, 0xf1, 0xbe, 0x69, 0xde, 0x34, 0x67, 0x4c, 0x85, 0x3b, 0xec, 0x98, 0xcc, 0x4d, 0x3e, 0xc0, 0x96, 0x27, 0xe6, 0x75, 0xfc, 0xdf, 0x37, 0xc0, 0x1e, 0x27, 0xe0, 0xf6, 0xc2, 0xbd, 0xbc, 0x3d, 0x9b, 0x39, 0xdc, 0xe2},
|
||||
dt2: fp.Elt{0xd8, 0x29, 0xa7, 0x39, 0xe3, 0x9f, 0x2f, 0x0e, 0x4b, 0x24, 0x21, 0x70, 0xef, 0xfd, 0x91, 0xea, 0xbf, 0xe1, 0x72, 0x90, 0xcc, 0xc9, 0x84, 0x0e, 0xad, 0xd5, 0xe6, 0xbb, 0xc5, 0x99, 0x7f, 0xa4, 0xf0, 0x2e, 0xcc, 0x95, 0x64, 0x27, 0x19, 0xd8, 0x4c, 0x27, 0x0d, 0xff, 0xb6, 0x29, 0xe2, 0x6c, 0xfa, 0xbb, 0x4d, 0x9c, 0xbb, 0xaf, 0xa5, 0xec},
|
||||
},
|
||||
{ /* 41P*/
|
||||
addYX: fp.Elt{0xd6, 0x33, 0x3f, 0x9f, 0xcf, 0xfd, 0x4c, 0xd1, 0xfe, 0xe5, 0xeb, 0x64, 0x27, 0xae, 0x7a, 0xa2, 0x82, 0x50, 0x6d, 0xaa, 0xe3, 0x5d, 0xe2, 0x48, 0x60, 0xb3, 0x76, 0x04, 0xd9, 0x19, 0xa7, 0xa1, 0x73, 0x8d, 0x38, 0xa9, 0xaf, 0x45, 0xb5, 0xb2, 0x62, 0x9b, 0xf1, 0x35, 0x7b, 0x84, 0x66, 0xeb, 0x06, 0xef, 0xf1, 0xb2, 0x2d, 0x6a, 0x61, 0x15},
|
||||
subYX: fp.Elt{0x86, 0x50, 0x42, 0xf7, 0xda, 0x59, 0xb2, 0xcf, 0x0d, 0x3d, 0xee, 0x8e, 0x53, 0x5d, 0xf7, 0x9e, 0x6a, 0x26, 0x2d, 0xc7, 0x8c, 0x8e, 0x18, 0x50, 0x6d, 0xb7, 0x51, 0x4c, 0xa7, 0x52, 0x6e, 0x0e, 0x0a, 0x16, 0x74, 0xb2, 0x81, 0x8b, 0x56, 0x27, 0x22, 0x84, 0xf4, 0x56, 0xc5, 0x06, 0xe1, 0x8b, 0xca, 0x2d, 0xdb, 0x9a, 0xf6, 0x10, 0x9c, 0x51},
|
||||
dt2: fp.Elt{0x1f, 0x16, 0xa2, 0x78, 0x96, 0x1b, 0x85, 0x9c, 0x76, 0x49, 0xd4, 0x0f, 0xac, 0xb0, 0xf4, 0xd0, 0x06, 0x2c, 0x7e, 0x6d, 0x6e, 0x8e, 0xc7, 0x9f, 0x18, 0xad, 0xfc, 0x88, 0x0c, 0x0c, 0x09, 0x05, 0x05, 0xa0, 0x79, 0x72, 0x32, 0x72, 0x87, 0x0f, 0x49, 0x87, 0x0c, 0xb4, 0x12, 0xc2, 0x09, 0xf8, 0x9f, 0x30, 0x72, 0xa9, 0x47, 0x13, 0x93, 0x49},
|
||||
},
|
||||
{ /* 43P*/
|
||||
addYX: fp.Elt{0xcc, 0xb1, 0x4c, 0xd3, 0xc0, 0x9e, 0x9e, 0x4d, 0x6d, 0x28, 0x0b, 0xa5, 0x94, 0xa7, 0x2e, 0xc2, 0xc7, 0xaf, 0x29, 0x73, 0xc9, 0x68, 0xea, 0x0f, 0x34, 0x37, 0x8d, 0x96, 0x8f, 0x3a, 0x3d, 0x73, 0x1e, 0x6d, 0x9f, 0xcf, 0x8d, 0x83, 0xb5, 0x71, 0xb9, 0xe1, 0x4b, 0x67, 0x71, 0xea, 0xcf, 0x56, 0xe5, 0xeb, 0x72, 0x15, 0x2f, 0x9e, 0xa8, 0xaa},
|
||||
subYX: fp.Elt{0xf4, 0x3e, 0x85, 0x1c, 0x1a, 0xef, 0x50, 0xd1, 0xb4, 0x20, 0xb2, 0x60, 0x05, 0x98, 0xfe, 0x47, 0x3b, 0xc1, 0x76, 0xca, 0x2c, 0x4e, 0x5a, 0x42, 0xa3, 0xf7, 0x20, 0xaa, 0x57, 0x39, 0xee, 0x34, 0x1f, 0xe1, 0x68, 0xd3, 0x7e, 0x06, 0xc4, 0x6c, 0xc7, 0x76, 0x2b, 0xe4, 0x1c, 0x48, 0x44, 0xe6, 0xe5, 0x44, 0x24, 0x8d, 0xb3, 0xb6, 0x88, 0x32},
|
||||
dt2: fp.Elt{0x18, 0xa7, 0xba, 0xd0, 0x44, 0x6f, 0x33, 0x31, 0x00, 0xf8, 0xf6, 0x12, 0xe3, 0xc5, 0xc7, 0xb5, 0x91, 0x9c, 0x91, 0xb5, 0x75, 0x18, 0x18, 0x8a, 0xab, 0xed, 0x24, 0x11, 0x2e, 0xce, 0x5a, 0x0f, 0x94, 0x5f, 0x2e, 0xca, 0xd3, 0x80, 0xea, 0xe5, 0x34, 0x96, 0x67, 0x8b, 0x6a, 0x26, 0x5e, 0xc8, 0x9d, 0x2c, 0x5e, 0x6c, 0xa2, 0x0c, 0xbf, 0xf0},
|
||||
},
|
||||
{ /* 45P*/
|
||||
addYX: fp.Elt{0xb3, 0xbf, 0xa3, 0x85, 0xee, 0xf6, 0x58, 0x02, 0x78, 0xc4, 0x30, 0xd6, 0x57, 0x59, 0x8c, 0x88, 0x08, 0x7c, 0xbc, 0xbe, 0x0a, 0x74, 0xa9, 0xde, 0x69, 0xe7, 0x41, 0xd8, 0xbf, 0x66, 0x8d, 0x3d, 0x28, 0x00, 0x8c, 0x47, 0x65, 0x34, 0xfe, 0x86, 0x9e, 0x6a, 0xf2, 0x41, 0x6a, 0x94, 0xc4, 0x88, 0x75, 0x23, 0x0d, 0x52, 0x69, 0xee, 0x07, 0x89},
|
||||
subYX: fp.Elt{0x22, 0x3c, 0xa1, 0x70, 0x58, 0x97, 0x93, 0xbe, 0x59, 0xa8, 0x0b, 0x8a, 0x46, 0x2a, 0x38, 0x1e, 0x08, 0x6b, 0x61, 0x9f, 0xf2, 0x4a, 0x8b, 0x80, 0x68, 0x6e, 0xc8, 0x92, 0x60, 0xf3, 0xc9, 0x89, 0xb2, 0x6d, 0x63, 0xb0, 0xeb, 0x83, 0x15, 0x63, 0x0e, 0x64, 0xbb, 0xb8, 0xfe, 0xb4, 0x81, 0x90, 0x01, 0x28, 0x10, 0xb9, 0x74, 0x6e, 0xde, 0xa4},
|
||||
dt2: fp.Elt{0x1a, 0x23, 0x45, 0xa8, 0x6f, 0x4e, 0xa7, 0x4a, 0x0c, 0xeb, 0xb0, 0x43, 0xf9, 0xef, 0x99, 0x60, 0x5b, 0xdb, 0x66, 0xc0, 0x86, 0x71, 0x43, 0xb1, 0x22, 0x7b, 0x1c, 0xe7, 0x8d, 0x09, 0x1d, 0x83, 0x76, 0x9c, 0xd3, 0x5a, 0xdd, 0x42, 0xd9, 0x2f, 0x2d, 0xba, 0x7a, 0xc2, 0xd9, 0x6b, 0xd4, 0x7a, 0xf1, 0xd5, 0x5f, 0x6b, 0x85, 0xbf, 0x0b, 0xf1},
|
||||
},
|
||||
{ /* 47P*/
|
||||
addYX: fp.Elt{0xb2, 0x83, 0xfa, 0x1f, 0xd2, 0xce, 0xb6, 0xf2, 0x2d, 0xea, 0x1b, 0xe5, 0x29, 0xa5, 0x72, 0xf9, 0x25, 0x48, 0x4e, 0xf2, 0x50, 0x1b, 0x39, 0xda, 0x34, 0xc5, 0x16, 0x13, 0xb4, 0x0c, 0xa1, 0x00, 0x79, 0x7a, 0xf5, 0x8b, 0xf3, 0x70, 0x14, 0xb6, 0xfc, 0x9a, 0x47, 0x68, 0x1e, 0x42, 0x70, 0x64, 0x2a, 0x84, 0x3e, 0x3d, 0x20, 0x58, 0xf9, 0x6a},
|
||||
subYX: fp.Elt{0xd9, 0xee, 0xc0, 0xc4, 0xf5, 0xc2, 0x86, 0xaf, 0x45, 0xd2, 0xd2, 0x87, 0x1b, 0x64, 0xd5, 0xe0, 0x8c, 0x44, 0x00, 0x4f, 0x43, 0x89, 0x04, 0x48, 0x4a, 0x0b, 0xca, 0x94, 0x06, 0x2f, 0x23, 0x5b, 0x6c, 0x8d, 0x44, 0x66, 0x53, 0xf5, 0x5a, 0x20, 0x72, 0x28, 0x58, 0x84, 0xcc, 0x73, 0x22, 0x5e, 0xd1, 0x0b, 0x56, 0x5e, 0x6a, 0xa3, 0x11, 0x91},
|
||||
dt2: fp.Elt{0x6e, 0x9f, 0x88, 0xa8, 0x68, 0x2f, 0x12, 0x37, 0x88, 0xfc, 0x92, 0x8f, 0x24, 0xeb, 0x5b, 0x2a, 0x2a, 0xd0, 0x14, 0x40, 0x4c, 0xa9, 0xa4, 0x03, 0x0c, 0x45, 0x48, 0x13, 0xe8, 0xa6, 0x37, 0xab, 0xc0, 0x06, 0x38, 0x6c, 0x96, 0x73, 0x40, 0x6c, 0xc6, 0xea, 0x56, 0xc6, 0xe9, 0x1a, 0x69, 0xeb, 0x7a, 0xd1, 0x33, 0x69, 0x58, 0x2b, 0xea, 0x2f},
|
||||
},
|
||||
{ /* 49P*/
|
||||
addYX: fp.Elt{0x58, 0xa8, 0x05, 0x41, 0x00, 0x9d, 0xaa, 0xd9, 0x98, 0xcf, 0xb9, 0x41, 0xb5, 0x4a, 0x8d, 0xe2, 0xe7, 0xc0, 0x72, 0xef, 0xc8, 0x28, 0x6b, 0x68, 0x9d, 0xc9, 0xdf, 0x05, 0x8b, 0xd0, 0x04, 0x74, 0x79, 0x45, 0x52, 0x05, 0xa3, 0x6e, 0x35, 0x3a, 0xe3, 0xef, 0xb2, 0xdc, 0x08, 0x6f, 0x4e, 0x76, 0x85, 0x67, 0xba, 0x23, 0x8f, 0xdd, 0xaf, 0x09},
|
||||
subYX: fp.Elt{0xb4, 0x38, 0xc8, 0xff, 0x4f, 0x65, 0x2a, 0x7e, 0xad, 0xb1, 0xc6, 0xb9, 0x3d, 0xd6, 0xf7, 0x14, 0xcf, 0xf6, 0x98, 0x75, 0xbb, 0x47, 0x83, 0x90, 0xe7, 0xe1, 0xf6, 0x14, 0x99, 0x7e, 0xfa, 0xe4, 0x77, 0x24, 0xe3, 0xe7, 0xf0, 0x1e, 0xdb, 0x27, 0x4e, 0x16, 0x04, 0xf2, 0x08, 0x52, 0xfc, 0xec, 0x55, 0xdb, 0x2e, 0x67, 0xe1, 0x94, 0x32, 0x89},
|
||||
dt2: fp.Elt{0x00, 0xad, 0x03, 0x35, 0x1a, 0xb1, 0x88, 0xf0, 0xc9, 0x11, 0xe4, 0x12, 0x52, 0x61, 0xfd, 0x8a, 0x1b, 0x6a, 0x0a, 0x4c, 0x42, 0x46, 0x22, 0x0e, 0xa5, 0xf9, 0xe2, 0x50, 0xf2, 0xb2, 0x1f, 0x20, 0x78, 0x10, 0xf6, 0xbf, 0x7f, 0x0c, 0x9c, 0xad, 0x40, 0x8b, 0x82, 0xd4, 0xba, 0x69, 0x09, 0xac, 0x4b, 0x6d, 0xc4, 0x49, 0x17, 0x81, 0x57, 0x3b},
|
||||
},
|
||||
{ /* 51P*/
|
||||
addYX: fp.Elt{0x0d, 0xfe, 0xb4, 0x35, 0x11, 0xbd, 0x1d, 0x6b, 0xc2, 0xc5, 0x3b, 0xd2, 0x23, 0x2c, 0x72, 0xe3, 0x48, 0xb1, 0x48, 0x73, 0xfb, 0xa3, 0x21, 0x6e, 0xc0, 0x09, 0x69, 0xac, 0xe1, 0x60, 0xbc, 0x24, 0x03, 0x99, 0x63, 0x0a, 0x00, 0xf0, 0x75, 0xf6, 0x92, 0xc5, 0xd6, 0xdb, 0x51, 0xd4, 0x7d, 0xe6, 0xf4, 0x11, 0x79, 0xd7, 0xc3, 0xaf, 0x48, 0xd0},
|
||||
subYX: fp.Elt{0xf4, 0x4f, 0xaf, 0x31, 0xe3, 0x10, 0x89, 0x95, 0xf0, 0x8a, 0xf6, 0x31, 0x9f, 0x48, 0x02, 0xba, 0x42, 0x2b, 0x3c, 0x22, 0x8b, 0xcc, 0x12, 0x98, 0x6e, 0x7a, 0x64, 0x3a, 0xc4, 0xca, 0x32, 0x2a, 0x72, 0xf8, 0x2c, 0xcf, 0x78, 0x5e, 0x7a, 0x75, 0x6e, 0x72, 0x46, 0x48, 0x62, 0x28, 0xac, 0x58, 0x1a, 0xc6, 0x59, 0x88, 0x2a, 0x44, 0x9e, 0x83},
|
||||
dt2: fp.Elt{0xb3, 0xde, 0x36, 0xfd, 0xeb, 0x1b, 0xd4, 0x24, 0x1b, 0x08, 0x8c, 0xfe, 0xa9, 0x41, 0xa1, 0x64, 0xf2, 0x6d, 0xdb, 0xf9, 0x94, 0xae, 0x86, 0x71, 0xab, 0x10, 0xbf, 0xa3, 0xb2, 0xa0, 0xdf, 0x10, 0x8c, 0x74, 0xce, 0xb3, 0xfc, 0xdb, 0xba, 0x15, 0xf6, 0x91, 0x7a, 0x9c, 0x36, 0x1e, 0x45, 0x07, 0x3c, 0xec, 0x1a, 0x61, 0x26, 0x93, 0xe3, 0x50},
|
||||
},
|
||||
{ /* 53P*/
|
||||
addYX: fp.Elt{0xc5, 0x50, 0xc5, 0x83, 0xb0, 0xbd, 0xd9, 0xf6, 0x6d, 0x15, 0x5e, 0xc1, 0x1a, 0x33, 0xa0, 0xce, 0x13, 0x70, 0x3b, 0xe1, 0x31, 0xc6, 0xc4, 0x02, 0xec, 0x8c, 0xd5, 0x9c, 0x97, 0xd3, 0x12, 0xc4, 0xa2, 0xf9, 0xd5, 0xfb, 0x22, 0x69, 0x94, 0x09, 0x2f, 0x59, 0xce, 0xdb, 0xf2, 0xf2, 0x00, 0xe0, 0xa9, 0x08, 0x44, 0x2e, 0x8b, 0x6b, 0xf5, 0xb3},
|
||||
subYX: fp.Elt{0x90, 0xdd, 0xec, 0xa2, 0x65, 0xb7, 0x61, 0xbc, 0xaa, 0x70, 0xa2, 0x15, 0xd8, 0xb0, 0xf8, 0x8e, 0x23, 0x3d, 0x9f, 0x46, 0xa3, 0x29, 0x20, 0xd1, 0xa1, 0x15, 0x81, 0xc6, 0xb6, 0xde, 0xbe, 0x60, 0x63, 0x24, 0xac, 0x15, 0xfb, 0xeb, 0xd3, 0xea, 0x57, 0x13, 0x86, 0x38, 0x1e, 0x22, 0xf4, 0x8c, 0x5d, 0xaf, 0x1b, 0x27, 0x21, 0x4f, 0xa3, 0x63},
|
||||
dt2: fp.Elt{0x07, 0x15, 0x87, 0xc4, 0xfd, 0xa1, 0x97, 0x7a, 0x07, 0x1f, 0x56, 0xcc, 0xe3, 0x6a, 0x01, 0x90, 0xce, 0xf9, 0xfa, 0x50, 0xb2, 0xe0, 0x87, 0x8b, 0x6c, 0x63, 0x6c, 0xf6, 0x2a, 0x09, 0xef, 0xef, 0xd2, 0x31, 0x40, 0x25, 0xf6, 0x84, 0xcb, 0xe0, 0xc4, 0x23, 0xc1, 0xcb, 0xe2, 0x02, 0x83, 0x2d, 0xed, 0x74, 0x74, 0x8b, 0xf8, 0x7c, 0x81, 0x18},
|
||||
},
|
||||
{ /* 55P*/
|
||||
addYX: fp.Elt{0x9e, 0xe5, 0x59, 0x95, 0x63, 0x2e, 0xac, 0x8b, 0x03, 0x3c, 0xc1, 0x8e, 0xe1, 0x5b, 0x56, 0x3c, 0x16, 0x41, 0xe4, 0xc2, 0x60, 0x0c, 0x6d, 0x65, 0x9f, 0xfc, 0x27, 0x68, 0x43, 0x44, 0x05, 0x12, 0x6c, 0xda, 0x04, 0xef, 0xcf, 0xcf, 0xdc, 0x0a, 0x1a, 0x7f, 0x12, 0xd3, 0xeb, 0x02, 0xb6, 0x04, 0xca, 0xd6, 0xcb, 0xf0, 0x22, 0xba, 0x35, 0x6d},
|
||||
subYX: fp.Elt{0x09, 0x6d, 0xf9, 0x64, 0x4c, 0xe6, 0x41, 0xff, 0x01, 0x4d, 0xce, 0x1e, 0xfa, 0x38, 0xa2, 0x25, 0x62, 0xff, 0x03, 0x39, 0x18, 0x91, 0xbb, 0x9d, 0xce, 0x02, 0xf0, 0xf1, 0x3c, 0x55, 0x18, 0xa9, 0xab, 0x4d, 0xd2, 0x35, 0xfd, 0x8d, 0xa9, 0xb2, 0xad, 0xb7, 0x06, 0x6e, 0xc6, 0x69, 0x49, 0xd6, 0x98, 0x98, 0x0b, 0x22, 0x81, 0x6b, 0xbd, 0xa0},
|
||||
dt2: fp.Elt{0x22, 0xf4, 0x85, 0x5d, 0x2b, 0xf1, 0x55, 0xa5, 0xd6, 0x27, 0x86, 0x57, 0x12, 0x1f, 0x16, 0x0a, 0x5a, 0x9b, 0xf2, 0x38, 0xb6, 0x28, 0xd8, 0x99, 0x0c, 0x89, 0x1d, 0x7f, 0xca, 0x21, 0x17, 0x1a, 0x0b, 0x02, 0x5f, 0x77, 0x2f, 0x73, 0x30, 0x7c, 0xc8, 0xd7, 0x2b, 0xcc, 0xe7, 0xf3, 0x21, 0xac, 0x53, 0xa7, 0x11, 0x5d, 0xd8, 0x1d, 0x9b, 0xf5},
|
||||
},
|
||||
{ /* 57P*/
|
||||
addYX: fp.Elt{0x94, 0x63, 0x5d, 0xef, 0xfd, 0x6d, 0x25, 0x4e, 0x6d, 0x29, 0x03, 0xed, 0x24, 0x28, 0x27, 0x57, 0x47, 0x3e, 0x6a, 0x1a, 0xfe, 0x37, 0xee, 0x5f, 0x83, 0x29, 0x14, 0xfd, 0x78, 0x25, 0x8a, 0xe1, 0x02, 0x38, 0xd8, 0xca, 0x65, 0x55, 0x40, 0x7d, 0x48, 0x2c, 0x7c, 0x7e, 0x60, 0xb6, 0x0c, 0x6d, 0xf7, 0xe8, 0xb3, 0x62, 0x53, 0xd6, 0x9c, 0x2b},
|
||||
subYX: fp.Elt{0x47, 0x25, 0x70, 0x62, 0xf5, 0x65, 0x93, 0x62, 0x08, 0xac, 0x59, 0x66, 0xdb, 0x08, 0xd9, 0x1a, 0x19, 0xaf, 0xf4, 0xef, 0x02, 0xa2, 0x78, 0xa9, 0x55, 0x1c, 0xfa, 0x08, 0x11, 0xcb, 0xa3, 0x71, 0x74, 0xb1, 0x62, 0xe7, 0xc7, 0xf3, 0x5a, 0xb5, 0x8b, 0xd4, 0xf6, 0x10, 0x57, 0x79, 0x72, 0x2f, 0x13, 0x86, 0x7b, 0x44, 0x5f, 0x48, 0xfd, 0x88},
|
||||
dt2: fp.Elt{0x10, 0x02, 0xcd, 0x05, 0x9a, 0xc3, 0x32, 0x6d, 0x10, 0x3a, 0x74, 0xba, 0x06, 0xc4, 0x3b, 0x34, 0xbc, 0x36, 0xed, 0xa3, 0xba, 0x9a, 0xdb, 0x6d, 0xd4, 0x69, 0x99, 0x97, 0xd0, 0xe4, 0xdd, 0xf5, 0xd4, 0x7c, 0xd3, 0x4e, 0xab, 0xd1, 0x3b, 0xbb, 0xe9, 0xc7, 0x6a, 0x94, 0x25, 0x61, 0xf0, 0x06, 0xc5, 0x12, 0xa8, 0x86, 0xe5, 0x35, 0x46, 0xeb},
|
||||
},
|
||||
{ /* 59P*/
|
||||
addYX: fp.Elt{0x9e, 0x95, 0x11, 0xc6, 0xc7, 0xe8, 0xee, 0x5a, 0x26, 0xa0, 0x72, 0x72, 0x59, 0x91, 0x59, 0x16, 0x49, 0x99, 0x7e, 0xbb, 0xd7, 0x15, 0xb4, 0xf2, 0x40, 0xf9, 0x5a, 0x4d, 0xc8, 0xa0, 0xe2, 0x34, 0x7b, 0x34, 0xf3, 0x99, 0xbf, 0xa9, 0xf3, 0x79, 0xc1, 0x1a, 0x0c, 0xf4, 0x86, 0x74, 0x4e, 0xcb, 0xbc, 0x90, 0xad, 0xb6, 0x51, 0x6d, 0xaa, 0x33},
|
||||
subYX: fp.Elt{0x9f, 0xd1, 0xc5, 0xa2, 0x6c, 0x24, 0x88, 0x15, 0x71, 0x68, 0xf6, 0x07, 0x45, 0x02, 0xc4, 0x73, 0x7e, 0x75, 0x87, 0xca, 0x7c, 0xf0, 0x92, 0x00, 0x75, 0xd6, 0x5a, 0xdd, 0xe0, 0x64, 0x16, 0x9d, 0x62, 0x80, 0x33, 0x9f, 0xf4, 0x8e, 0x1a, 0x15, 0x1c, 0xd3, 0x0f, 0x4d, 0x4f, 0x62, 0x2d, 0xd7, 0xa5, 0x77, 0xe3, 0xea, 0xf0, 0xfb, 0x1a, 0xdb},
|
||||
dt2: fp.Elt{0x6a, 0xa2, 0xb1, 0xaa, 0xfb, 0x5a, 0x32, 0x4e, 0xff, 0x47, 0x06, 0xd5, 0x9a, 0x4f, 0xce, 0x83, 0x5b, 0x82, 0x34, 0x3e, 0x47, 0xb8, 0xf8, 0xe9, 0x7c, 0x67, 0x69, 0x8d, 0x9c, 0xb7, 0xde, 0x57, 0xf4, 0x88, 0x41, 0x56, 0x0c, 0x87, 0x1e, 0xc9, 0x2f, 0x54, 0xbf, 0x5c, 0x68, 0x2c, 0xd9, 0xc4, 0xef, 0x53, 0x73, 0x1e, 0xa6, 0x38, 0x02, 0x10},
|
||||
},
|
||||
{ /* 61P*/
|
||||
addYX: fp.Elt{0x08, 0x80, 0x4a, 0xc9, 0xb7, 0xa8, 0x88, 0xd9, 0xfc, 0x6a, 0xc0, 0x3e, 0xc2, 0x33, 0x4d, 0x2b, 0x2a, 0xa3, 0x6d, 0x72, 0x3e, 0xdc, 0x34, 0x68, 0x08, 0xbf, 0x27, 0xef, 0xf4, 0xff, 0xe2, 0x0c, 0x31, 0x0c, 0xa2, 0x0a, 0x1f, 0x65, 0xc1, 0x4c, 0x61, 0xd3, 0x1b, 0xbc, 0x25, 0xb1, 0xd0, 0xd4, 0x89, 0xb2, 0x53, 0xfb, 0x43, 0xa5, 0xaf, 0x04},
|
||||
subYX: fp.Elt{0xe3, 0xe1, 0x37, 0xad, 0x58, 0xa9, 0x55, 0x81, 0xee, 0x64, 0x21, 0xb9, 0xf5, 0x4c, 0x35, 0xea, 0x4a, 0xd3, 0x26, 0xaa, 0x90, 0xd4, 0x60, 0x46, 0x09, 0x4b, 0x4a, 0x62, 0xf9, 0xcd, 0xe1, 0xee, 0xbb, 0xc2, 0x09, 0x0b, 0xb0, 0x96, 0x8e, 0x43, 0x77, 0xaf, 0x25, 0x20, 0x5e, 0x47, 0xe4, 0x1d, 0x50, 0x69, 0x74, 0x08, 0xd7, 0xb9, 0x90, 0x13},
|
||||
dt2: fp.Elt{0x51, 0x91, 0x95, 0x64, 0x03, 0x16, 0xfd, 0x6e, 0x26, 0x94, 0x6b, 0x61, 0xe7, 0xd9, 0xe0, 0x4a, 0x6d, 0x7c, 0xfa, 0xc0, 0xe2, 0x43, 0x23, 0x53, 0x70, 0xf5, 0x6f, 0x73, 0x8b, 0x81, 0xb0, 0x0c, 0xee, 0x2e, 0x46, 0xf2, 0x8d, 0xa6, 0xfb, 0xb5, 0x1c, 0x33, 0xbf, 0x90, 0x59, 0xc9, 0x7c, 0xb8, 0x6f, 0xad, 0x75, 0x02, 0x90, 0x8e, 0x59, 0x75},
|
||||
},
|
||||
{ /* 63P*/
|
||||
addYX: fp.Elt{0x36, 0x4d, 0x77, 0x04, 0xb8, 0x7d, 0x4a, 0xd1, 0xc5, 0xbb, 0x7b, 0x50, 0x5f, 0x8d, 0x9d, 0x62, 0x0f, 0x66, 0x71, 0xec, 0x87, 0xc5, 0x80, 0x82, 0xc8, 0xf4, 0x6a, 0x94, 0x92, 0x5b, 0xb0, 0x16, 0x9b, 0xb2, 0xc9, 0x6f, 0x2b, 0x2d, 0xee, 0x95, 0x73, 0x2e, 0xc2, 0x1b, 0xc5, 0x55, 0x36, 0x86, 0x24, 0xf8, 0x20, 0x05, 0x0d, 0x93, 0xd7, 0x76},
|
||||
subYX: fp.Elt{0x7f, 0x01, 0xeb, 0x2e, 0x48, 0x4d, 0x1d, 0xf1, 0x06, 0x7e, 0x7c, 0x2a, 0x43, 0xbf, 0x28, 0xac, 0xe9, 0x58, 0x13, 0xc8, 0xbf, 0x8e, 0xc0, 0xef, 0xe8, 0x4f, 0x46, 0x8a, 0xe7, 0xc0, 0xf6, 0x0f, 0x0a, 0x03, 0x48, 0x91, 0x55, 0x39, 0x2a, 0xe3, 0xdc, 0xf6, 0x22, 0x9d, 0x4d, 0x71, 0x55, 0x68, 0x25, 0x6e, 0x95, 0x52, 0xee, 0x4c, 0xd9, 0x01},
|
||||
dt2: fp.Elt{0xac, 0x33, 0x3f, 0x7c, 0x27, 0x35, 0x15, 0x91, 0x33, 0x8d, 0xf9, 0xc4, 0xf4, 0xf3, 0x90, 0x09, 0x75, 0x69, 0x62, 0x9f, 0x61, 0x35, 0x83, 0x92, 0x04, 0xef, 0x96, 0x38, 0x80, 0x9e, 0x88, 0xb3, 0x67, 0x95, 0xbe, 0x79, 0x3c, 0x35, 0xd8, 0xdc, 0xb2, 0x3e, 0x2d, 0xe6, 0x46, 0xbe, 0x81, 0xf3, 0x32, 0x0e, 0x37, 0x23, 0x75, 0x2a, 0x3d, 0xa0},
|
||||
},
|
||||
}
|
||||
62
vendor/github.com/cloudflare/circl/ecc/goldilocks/twist_basemult.go
generated
vendored
62
vendor/github.com/cloudflare/circl/ecc/goldilocks/twist_basemult.go
generated
vendored
@ -1,62 +0,0 @@
|
||||
package goldilocks
|
||||
|
||||
import (
|
||||
"crypto/subtle"
|
||||
|
||||
mlsb "github.com/cloudflare/circl/math/mlsbset"
|
||||
)
|
||||
|
||||
const (
|
||||
// MLSBRecoding parameters
|
||||
fxT = 448
|
||||
fxV = 2
|
||||
fxW = 3
|
||||
fx2w1 = 1 << (uint(fxW) - 1)
|
||||
)
|
||||
|
||||
// ScalarBaseMult returns kG where G is the generator point.
|
||||
func (e twistCurve) ScalarBaseMult(k *Scalar) *twistPoint {
|
||||
m, err := mlsb.New(fxT, fxV, fxW)
|
||||
if err != nil {
|
||||
panic(err)
|
||||
}
|
||||
if m.IsExtended() {
|
||||
panic("not extended")
|
||||
}
|
||||
|
||||
var isZero int
|
||||
if k.IsZero() {
|
||||
isZero = 1
|
||||
}
|
||||
subtle.ConstantTimeCopy(isZero, k[:], order[:])
|
||||
|
||||
minusK := *k
|
||||
isEven := 1 - int(k[0]&0x1)
|
||||
minusK.Neg()
|
||||
subtle.ConstantTimeCopy(isEven, k[:], minusK[:])
|
||||
c, err := m.Encode(k[:])
|
||||
if err != nil {
|
||||
panic(err)
|
||||
}
|
||||
|
||||
gP := c.Exp(groupMLSB{})
|
||||
P := gP.(*twistPoint)
|
||||
P.cneg(uint(isEven))
|
||||
return P
|
||||
}
|
||||
|
||||
type groupMLSB struct{}
|
||||
|
||||
func (e groupMLSB) ExtendedEltP() mlsb.EltP { return nil }
|
||||
func (e groupMLSB) Sqr(x mlsb.EltG) { x.(*twistPoint).Double() }
|
||||
func (e groupMLSB) Mul(x mlsb.EltG, y mlsb.EltP) { x.(*twistPoint).mixAddZ1(y.(*preTwistPointAffine)) }
|
||||
func (e groupMLSB) Identity() mlsb.EltG { return twistCurve{}.Identity() }
|
||||
func (e groupMLSB) NewEltP() mlsb.EltP { return &preTwistPointAffine{} }
|
||||
func (e groupMLSB) Lookup(a mlsb.EltP, v uint, s, u int32) {
|
||||
Tabj := &tabFixMult[v]
|
||||
P := a.(*preTwistPointAffine)
|
||||
for k := range Tabj {
|
||||
P.cmov(&Tabj[k], uint(subtle.ConstantTimeEq(int32(k), u)))
|
||||
}
|
||||
P.cneg(int(s >> 31))
|
||||
}
|
||||
140
vendor/github.com/cloudflare/circl/internal/conv/conv.go
generated
vendored
140
vendor/github.com/cloudflare/circl/internal/conv/conv.go
generated
vendored
@ -1,140 +0,0 @@
|
||||
package conv
|
||||
|
||||
import (
|
||||
"encoding/binary"
|
||||
"fmt"
|
||||
"math/big"
|
||||
"strings"
|
||||
)
|
||||
|
||||
// BytesLe2Hex returns an hexadecimal string of a number stored in a
|
||||
// little-endian order slice x.
|
||||
func BytesLe2Hex(x []byte) string {
|
||||
b := &strings.Builder{}
|
||||
b.Grow(2*len(x) + 2)
|
||||
fmt.Fprint(b, "0x")
|
||||
if len(x) == 0 {
|
||||
fmt.Fprint(b, "00")
|
||||
}
|
||||
for i := len(x) - 1; i >= 0; i-- {
|
||||
fmt.Fprintf(b, "%02x", x[i])
|
||||
}
|
||||
return b.String()
|
||||
}
|
||||
|
||||
// BytesLe2BigInt converts a little-endian slice x into a big-endian
|
||||
// math/big.Int.
|
||||
func BytesLe2BigInt(x []byte) *big.Int {
|
||||
n := len(x)
|
||||
b := new(big.Int)
|
||||
if len(x) > 0 {
|
||||
y := make([]byte, n)
|
||||
for i := 0; i < n; i++ {
|
||||
y[n-1-i] = x[i]
|
||||
}
|
||||
b.SetBytes(y)
|
||||
}
|
||||
return b
|
||||
}
|
||||
|
||||
// BytesBe2Uint64Le converts a big-endian slice x to a little-endian slice of uint64.
|
||||
func BytesBe2Uint64Le(x []byte) []uint64 {
|
||||
l := len(x)
|
||||
z := make([]uint64, (l+7)/8)
|
||||
blocks := l / 8
|
||||
for i := 0; i < blocks; i++ {
|
||||
z[i] = binary.BigEndian.Uint64(x[l-8*(i+1):])
|
||||
}
|
||||
remBytes := l % 8
|
||||
for i := 0; i < remBytes; i++ {
|
||||
z[blocks] |= uint64(x[l-1-8*blocks-i]) << uint(8*i)
|
||||
}
|
||||
return z
|
||||
}
|
||||
|
||||
// BigInt2BytesLe stores a positive big.Int number x into a little-endian slice z.
|
||||
// The slice is modified if the bitlength of x <= 8*len(z) (padding with zeros).
|
||||
// If x does not fit in the slice or is negative, z is not modified.
|
||||
func BigInt2BytesLe(z []byte, x *big.Int) {
|
||||
xLen := (x.BitLen() + 7) >> 3
|
||||
zLen := len(z)
|
||||
if zLen >= xLen && x.Sign() >= 0 {
|
||||
y := x.Bytes()
|
||||
for i := 0; i < xLen; i++ {
|
||||
z[i] = y[xLen-1-i]
|
||||
}
|
||||
for i := xLen; i < zLen; i++ {
|
||||
z[i] = 0
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// Uint64Le2BigInt converts a little-endian slice x into a big number.
|
||||
func Uint64Le2BigInt(x []uint64) *big.Int {
|
||||
n := len(x)
|
||||
b := new(big.Int)
|
||||
var bi big.Int
|
||||
for i := n - 1; i >= 0; i-- {
|
||||
bi.SetUint64(x[i])
|
||||
b.Lsh(b, 64)
|
||||
b.Add(b, &bi)
|
||||
}
|
||||
return b
|
||||
}
|
||||
|
||||
// Uint64Le2BytesLe converts a little-endian slice x to a little-endian slice of bytes.
|
||||
func Uint64Le2BytesLe(x []uint64) []byte {
|
||||
b := make([]byte, 8*len(x))
|
||||
n := len(x)
|
||||
for i := 0; i < n; i++ {
|
||||
binary.LittleEndian.PutUint64(b[i*8:], x[i])
|
||||
}
|
||||
return b
|
||||
}
|
||||
|
||||
// Uint64Le2BytesBe converts a little-endian slice x to a big-endian slice of bytes.
|
||||
func Uint64Le2BytesBe(x []uint64) []byte {
|
||||
b := make([]byte, 8*len(x))
|
||||
n := len(x)
|
||||
for i := 0; i < n; i++ {
|
||||
binary.BigEndian.PutUint64(b[i*8:], x[n-1-i])
|
||||
}
|
||||
return b
|
||||
}
|
||||
|
||||
// Uint64Le2Hex returns an hexadecimal string of a number stored in a
|
||||
// little-endian order slice x.
|
||||
func Uint64Le2Hex(x []uint64) string {
|
||||
b := new(strings.Builder)
|
||||
b.Grow(16*len(x) + 2)
|
||||
fmt.Fprint(b, "0x")
|
||||
if len(x) == 0 {
|
||||
fmt.Fprint(b, "00")
|
||||
}
|
||||
for i := len(x) - 1; i >= 0; i-- {
|
||||
fmt.Fprintf(b, "%016x", x[i])
|
||||
}
|
||||
return b.String()
|
||||
}
|
||||
|
||||
// BigInt2Uint64Le stores a positive big.Int number x into a little-endian slice z.
|
||||
// The slice is modified if the bitlength of x <= 8*len(z) (padding with zeros).
|
||||
// If x does not fit in the slice or is negative, z is not modified.
|
||||
func BigInt2Uint64Le(z []uint64, x *big.Int) {
|
||||
xLen := (x.BitLen() + 63) >> 6 // number of 64-bit words
|
||||
zLen := len(z)
|
||||
if zLen >= xLen && x.Sign() > 0 {
|
||||
var y, yi big.Int
|
||||
y.Set(x)
|
||||
two64 := big.NewInt(1)
|
||||
two64.Lsh(two64, 64).Sub(two64, big.NewInt(1))
|
||||
for i := 0; i < xLen; i++ {
|
||||
yi.And(&y, two64)
|
||||
z[i] = yi.Uint64()
|
||||
y.Rsh(&y, 64)
|
||||
}
|
||||
}
|
||||
for i := xLen; i < zLen; i++ {
|
||||
z[i] = 0
|
||||
}
|
||||
}
|
||||
62
vendor/github.com/cloudflare/circl/internal/sha3/doc.go
generated
vendored
62
vendor/github.com/cloudflare/circl/internal/sha3/doc.go
generated
vendored
@ -1,62 +0,0 @@
|
||||
// Copyright 2014 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
// Package sha3 implements the SHA-3 fixed-output-length hash functions and
|
||||
// the SHAKE variable-output-length hash functions defined by FIPS-202.
|
||||
//
|
||||
// Both types of hash function use the "sponge" construction and the Keccak
|
||||
// permutation. For a detailed specification see http://keccak.noekeon.org/
|
||||
//
|
||||
// # Guidance
|
||||
//
|
||||
// If you aren't sure what function you need, use SHAKE256 with at least 64
|
||||
// bytes of output. The SHAKE instances are faster than the SHA3 instances;
|
||||
// the latter have to allocate memory to conform to the hash.Hash interface.
|
||||
//
|
||||
// If you need a secret-key MAC (message authentication code), prepend the
|
||||
// secret key to the input, hash with SHAKE256 and read at least 32 bytes of
|
||||
// output.
|
||||
//
|
||||
// # Security strengths
|
||||
//
|
||||
// The SHA3-x (x equals 224, 256, 384, or 512) functions have a security
|
||||
// strength against preimage attacks of x bits. Since they only produce "x"
|
||||
// bits of output, their collision-resistance is only "x/2" bits.
|
||||
//
|
||||
// The SHAKE-256 and -128 functions have a generic security strength of 256 and
|
||||
// 128 bits against all attacks, provided that at least 2x bits of their output
|
||||
// is used. Requesting more than 64 or 32 bytes of output, respectively, does
|
||||
// not increase the collision-resistance of the SHAKE functions.
|
||||
//
|
||||
// # The sponge construction
|
||||
//
|
||||
// A sponge builds a pseudo-random function from a public pseudo-random
|
||||
// permutation, by applying the permutation to a state of "rate + capacity"
|
||||
// bytes, but hiding "capacity" of the bytes.
|
||||
//
|
||||
// A sponge starts out with a zero state. To hash an input using a sponge, up
|
||||
// to "rate" bytes of the input are XORed into the sponge's state. The sponge
|
||||
// is then "full" and the permutation is applied to "empty" it. This process is
|
||||
// repeated until all the input has been "absorbed". The input is then padded.
|
||||
// The digest is "squeezed" from the sponge in the same way, except that output
|
||||
// is copied out instead of input being XORed in.
|
||||
//
|
||||
// A sponge is parameterized by its generic security strength, which is equal
|
||||
// to half its capacity; capacity + rate is equal to the permutation's width.
|
||||
// Since the KeccakF-1600 permutation is 1600 bits (200 bytes) wide, this means
|
||||
// that the security strength of a sponge instance is equal to (1600 - bitrate) / 2.
|
||||
//
|
||||
// # Recommendations
|
||||
//
|
||||
// The SHAKE functions are recommended for most new uses. They can produce
|
||||
// output of arbitrary length. SHAKE256, with an output length of at least
|
||||
// 64 bytes, provides 256-bit security against all attacks. The Keccak team
|
||||
// recommends it for most applications upgrading from SHA2-512. (NIST chose a
|
||||
// much stronger, but much slower, sponge instance for SHA3-512.)
|
||||
//
|
||||
// The SHA-3 functions are "drop-in" replacements for the SHA-2 functions.
|
||||
// They produce output of the same length, with the same security strengths
|
||||
// against all attacks. This means, in particular, that SHA3-256 only has
|
||||
// 128-bit collision resistance, because its output length is 32 bytes.
|
||||
package sha3
|
||||
69
vendor/github.com/cloudflare/circl/internal/sha3/hashes.go
generated
vendored
69
vendor/github.com/cloudflare/circl/internal/sha3/hashes.go
generated
vendored
@ -1,69 +0,0 @@
|
||||
// Copyright 2014 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package sha3
|
||||
|
||||
// This file provides functions for creating instances of the SHA-3
|
||||
// and SHAKE hash functions, as well as utility functions for hashing
|
||||
// bytes.
|
||||
|
||||
// New224 creates a new SHA3-224 hash.
|
||||
// Its generic security strength is 224 bits against preimage attacks,
|
||||
// and 112 bits against collision attacks.
|
||||
func New224() State {
|
||||
return State{rate: 144, outputLen: 28, dsbyte: 0x06}
|
||||
}
|
||||
|
||||
// New256 creates a new SHA3-256 hash.
|
||||
// Its generic security strength is 256 bits against preimage attacks,
|
||||
// and 128 bits against collision attacks.
|
||||
func New256() State {
|
||||
return State{rate: 136, outputLen: 32, dsbyte: 0x06}
|
||||
}
|
||||
|
||||
// New384 creates a new SHA3-384 hash.
|
||||
// Its generic security strength is 384 bits against preimage attacks,
|
||||
// and 192 bits against collision attacks.
|
||||
func New384() State {
|
||||
return State{rate: 104, outputLen: 48, dsbyte: 0x06}
|
||||
}
|
||||
|
||||
// New512 creates a new SHA3-512 hash.
|
||||
// Its generic security strength is 512 bits against preimage attacks,
|
||||
// and 256 bits against collision attacks.
|
||||
func New512() State {
|
||||
return State{rate: 72, outputLen: 64, dsbyte: 0x06}
|
||||
}
|
||||
|
||||
// Sum224 returns the SHA3-224 digest of the data.
|
||||
func Sum224(data []byte) (digest [28]byte) {
|
||||
h := New224()
|
||||
_, _ = h.Write(data)
|
||||
h.Sum(digest[:0])
|
||||
return
|
||||
}
|
||||
|
||||
// Sum256 returns the SHA3-256 digest of the data.
|
||||
func Sum256(data []byte) (digest [32]byte) {
|
||||
h := New256()
|
||||
_, _ = h.Write(data)
|
||||
h.Sum(digest[:0])
|
||||
return
|
||||
}
|
||||
|
||||
// Sum384 returns the SHA3-384 digest of the data.
|
||||
func Sum384(data []byte) (digest [48]byte) {
|
||||
h := New384()
|
||||
_, _ = h.Write(data)
|
||||
h.Sum(digest[:0])
|
||||
return
|
||||
}
|
||||
|
||||
// Sum512 returns the SHA3-512 digest of the data.
|
||||
func Sum512(data []byte) (digest [64]byte) {
|
||||
h := New512()
|
||||
_, _ = h.Write(data)
|
||||
h.Sum(digest[:0])
|
||||
return
|
||||
}
|
||||
383
vendor/github.com/cloudflare/circl/internal/sha3/keccakf.go
generated
vendored
383
vendor/github.com/cloudflare/circl/internal/sha3/keccakf.go
generated
vendored
@ -1,383 +0,0 @@
|
||||
// Copyright 2014 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package sha3
|
||||
|
||||
// KeccakF1600 applies the Keccak permutation to a 1600b-wide
|
||||
// state represented as a slice of 25 uint64s.
|
||||
// nolint:funlen
|
||||
func KeccakF1600(a *[25]uint64) {
|
||||
// Implementation translated from Keccak-inplace.c
|
||||
// in the keccak reference code.
|
||||
var t, bc0, bc1, bc2, bc3, bc4, d0, d1, d2, d3, d4 uint64
|
||||
|
||||
for i := 0; i < 24; i += 4 {
|
||||
// Combines the 5 steps in each round into 2 steps.
|
||||
// Unrolls 4 rounds per loop and spreads some steps across rounds.
|
||||
|
||||
// Round 1
|
||||
bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20]
|
||||
bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21]
|
||||
bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22]
|
||||
bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23]
|
||||
bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24]
|
||||
d0 = bc4 ^ (bc1<<1 | bc1>>63)
|
||||
d1 = bc0 ^ (bc2<<1 | bc2>>63)
|
||||
d2 = bc1 ^ (bc3<<1 | bc3>>63)
|
||||
d3 = bc2 ^ (bc4<<1 | bc4>>63)
|
||||
d4 = bc3 ^ (bc0<<1 | bc0>>63)
|
||||
|
||||
bc0 = a[0] ^ d0
|
||||
t = a[6] ^ d1
|
||||
bc1 = t<<44 | t>>(64-44)
|
||||
t = a[12] ^ d2
|
||||
bc2 = t<<43 | t>>(64-43)
|
||||
t = a[18] ^ d3
|
||||
bc3 = t<<21 | t>>(64-21)
|
||||
t = a[24] ^ d4
|
||||
bc4 = t<<14 | t>>(64-14)
|
||||
a[0] = bc0 ^ (bc2 &^ bc1) ^ RC[i]
|
||||
a[6] = bc1 ^ (bc3 &^ bc2)
|
||||
a[12] = bc2 ^ (bc4 &^ bc3)
|
||||
a[18] = bc3 ^ (bc0 &^ bc4)
|
||||
a[24] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[10] ^ d0
|
||||
bc2 = t<<3 | t>>(64-3)
|
||||
t = a[16] ^ d1
|
||||
bc3 = t<<45 | t>>(64-45)
|
||||
t = a[22] ^ d2
|
||||
bc4 = t<<61 | t>>(64-61)
|
||||
t = a[3] ^ d3
|
||||
bc0 = t<<28 | t>>(64-28)
|
||||
t = a[9] ^ d4
|
||||
bc1 = t<<20 | t>>(64-20)
|
||||
a[10] = bc0 ^ (bc2 &^ bc1)
|
||||
a[16] = bc1 ^ (bc3 &^ bc2)
|
||||
a[22] = bc2 ^ (bc4 &^ bc3)
|
||||
a[3] = bc3 ^ (bc0 &^ bc4)
|
||||
a[9] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[20] ^ d0
|
||||
bc4 = t<<18 | t>>(64-18)
|
||||
t = a[1] ^ d1
|
||||
bc0 = t<<1 | t>>(64-1)
|
||||
t = a[7] ^ d2
|
||||
bc1 = t<<6 | t>>(64-6)
|
||||
t = a[13] ^ d3
|
||||
bc2 = t<<25 | t>>(64-25)
|
||||
t = a[19] ^ d4
|
||||
bc3 = t<<8 | t>>(64-8)
|
||||
a[20] = bc0 ^ (bc2 &^ bc1)
|
||||
a[1] = bc1 ^ (bc3 &^ bc2)
|
||||
a[7] = bc2 ^ (bc4 &^ bc3)
|
||||
a[13] = bc3 ^ (bc0 &^ bc4)
|
||||
a[19] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[5] ^ d0
|
||||
bc1 = t<<36 | t>>(64-36)
|
||||
t = a[11] ^ d1
|
||||
bc2 = t<<10 | t>>(64-10)
|
||||
t = a[17] ^ d2
|
||||
bc3 = t<<15 | t>>(64-15)
|
||||
t = a[23] ^ d3
|
||||
bc4 = t<<56 | t>>(64-56)
|
||||
t = a[4] ^ d4
|
||||
bc0 = t<<27 | t>>(64-27)
|
||||
a[5] = bc0 ^ (bc2 &^ bc1)
|
||||
a[11] = bc1 ^ (bc3 &^ bc2)
|
||||
a[17] = bc2 ^ (bc4 &^ bc3)
|
||||
a[23] = bc3 ^ (bc0 &^ bc4)
|
||||
a[4] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[15] ^ d0
|
||||
bc3 = t<<41 | t>>(64-41)
|
||||
t = a[21] ^ d1
|
||||
bc4 = t<<2 | t>>(64-2)
|
||||
t = a[2] ^ d2
|
||||
bc0 = t<<62 | t>>(64-62)
|
||||
t = a[8] ^ d3
|
||||
bc1 = t<<55 | t>>(64-55)
|
||||
t = a[14] ^ d4
|
||||
bc2 = t<<39 | t>>(64-39)
|
||||
a[15] = bc0 ^ (bc2 &^ bc1)
|
||||
a[21] = bc1 ^ (bc3 &^ bc2)
|
||||
a[2] = bc2 ^ (bc4 &^ bc3)
|
||||
a[8] = bc3 ^ (bc0 &^ bc4)
|
||||
a[14] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
// Round 2
|
||||
bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20]
|
||||
bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21]
|
||||
bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22]
|
||||
bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23]
|
||||
bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24]
|
||||
d0 = bc4 ^ (bc1<<1 | bc1>>63)
|
||||
d1 = bc0 ^ (bc2<<1 | bc2>>63)
|
||||
d2 = bc1 ^ (bc3<<1 | bc3>>63)
|
||||
d3 = bc2 ^ (bc4<<1 | bc4>>63)
|
||||
d4 = bc3 ^ (bc0<<1 | bc0>>63)
|
||||
|
||||
bc0 = a[0] ^ d0
|
||||
t = a[16] ^ d1
|
||||
bc1 = t<<44 | t>>(64-44)
|
||||
t = a[7] ^ d2
|
||||
bc2 = t<<43 | t>>(64-43)
|
||||
t = a[23] ^ d3
|
||||
bc3 = t<<21 | t>>(64-21)
|
||||
t = a[14] ^ d4
|
||||
bc4 = t<<14 | t>>(64-14)
|
||||
a[0] = bc0 ^ (bc2 &^ bc1) ^ RC[i+1]
|
||||
a[16] = bc1 ^ (bc3 &^ bc2)
|
||||
a[7] = bc2 ^ (bc4 &^ bc3)
|
||||
a[23] = bc3 ^ (bc0 &^ bc4)
|
||||
a[14] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[20] ^ d0
|
||||
bc2 = t<<3 | t>>(64-3)
|
||||
t = a[11] ^ d1
|
||||
bc3 = t<<45 | t>>(64-45)
|
||||
t = a[2] ^ d2
|
||||
bc4 = t<<61 | t>>(64-61)
|
||||
t = a[18] ^ d3
|
||||
bc0 = t<<28 | t>>(64-28)
|
||||
t = a[9] ^ d4
|
||||
bc1 = t<<20 | t>>(64-20)
|
||||
a[20] = bc0 ^ (bc2 &^ bc1)
|
||||
a[11] = bc1 ^ (bc3 &^ bc2)
|
||||
a[2] = bc2 ^ (bc4 &^ bc3)
|
||||
a[18] = bc3 ^ (bc0 &^ bc4)
|
||||
a[9] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[15] ^ d0
|
||||
bc4 = t<<18 | t>>(64-18)
|
||||
t = a[6] ^ d1
|
||||
bc0 = t<<1 | t>>(64-1)
|
||||
t = a[22] ^ d2
|
||||
bc1 = t<<6 | t>>(64-6)
|
||||
t = a[13] ^ d3
|
||||
bc2 = t<<25 | t>>(64-25)
|
||||
t = a[4] ^ d4
|
||||
bc3 = t<<8 | t>>(64-8)
|
||||
a[15] = bc0 ^ (bc2 &^ bc1)
|
||||
a[6] = bc1 ^ (bc3 &^ bc2)
|
||||
a[22] = bc2 ^ (bc4 &^ bc3)
|
||||
a[13] = bc3 ^ (bc0 &^ bc4)
|
||||
a[4] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[10] ^ d0
|
||||
bc1 = t<<36 | t>>(64-36)
|
||||
t = a[1] ^ d1
|
||||
bc2 = t<<10 | t>>(64-10)
|
||||
t = a[17] ^ d2
|
||||
bc3 = t<<15 | t>>(64-15)
|
||||
t = a[8] ^ d3
|
||||
bc4 = t<<56 | t>>(64-56)
|
||||
t = a[24] ^ d4
|
||||
bc0 = t<<27 | t>>(64-27)
|
||||
a[10] = bc0 ^ (bc2 &^ bc1)
|
||||
a[1] = bc1 ^ (bc3 &^ bc2)
|
||||
a[17] = bc2 ^ (bc4 &^ bc3)
|
||||
a[8] = bc3 ^ (bc0 &^ bc4)
|
||||
a[24] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[5] ^ d0
|
||||
bc3 = t<<41 | t>>(64-41)
|
||||
t = a[21] ^ d1
|
||||
bc4 = t<<2 | t>>(64-2)
|
||||
t = a[12] ^ d2
|
||||
bc0 = t<<62 | t>>(64-62)
|
||||
t = a[3] ^ d3
|
||||
bc1 = t<<55 | t>>(64-55)
|
||||
t = a[19] ^ d4
|
||||
bc2 = t<<39 | t>>(64-39)
|
||||
a[5] = bc0 ^ (bc2 &^ bc1)
|
||||
a[21] = bc1 ^ (bc3 &^ bc2)
|
||||
a[12] = bc2 ^ (bc4 &^ bc3)
|
||||
a[3] = bc3 ^ (bc0 &^ bc4)
|
||||
a[19] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
// Round 3
|
||||
bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20]
|
||||
bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21]
|
||||
bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22]
|
||||
bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23]
|
||||
bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24]
|
||||
d0 = bc4 ^ (bc1<<1 | bc1>>63)
|
||||
d1 = bc0 ^ (bc2<<1 | bc2>>63)
|
||||
d2 = bc1 ^ (bc3<<1 | bc3>>63)
|
||||
d3 = bc2 ^ (bc4<<1 | bc4>>63)
|
||||
d4 = bc3 ^ (bc0<<1 | bc0>>63)
|
||||
|
||||
bc0 = a[0] ^ d0
|
||||
t = a[11] ^ d1
|
||||
bc1 = t<<44 | t>>(64-44)
|
||||
t = a[22] ^ d2
|
||||
bc2 = t<<43 | t>>(64-43)
|
||||
t = a[8] ^ d3
|
||||
bc3 = t<<21 | t>>(64-21)
|
||||
t = a[19] ^ d4
|
||||
bc4 = t<<14 | t>>(64-14)
|
||||
a[0] = bc0 ^ (bc2 &^ bc1) ^ RC[i+2]
|
||||
a[11] = bc1 ^ (bc3 &^ bc2)
|
||||
a[22] = bc2 ^ (bc4 &^ bc3)
|
||||
a[8] = bc3 ^ (bc0 &^ bc4)
|
||||
a[19] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[15] ^ d0
|
||||
bc2 = t<<3 | t>>(64-3)
|
||||
t = a[1] ^ d1
|
||||
bc3 = t<<45 | t>>(64-45)
|
||||
t = a[12] ^ d2
|
||||
bc4 = t<<61 | t>>(64-61)
|
||||
t = a[23] ^ d3
|
||||
bc0 = t<<28 | t>>(64-28)
|
||||
t = a[9] ^ d4
|
||||
bc1 = t<<20 | t>>(64-20)
|
||||
a[15] = bc0 ^ (bc2 &^ bc1)
|
||||
a[1] = bc1 ^ (bc3 &^ bc2)
|
||||
a[12] = bc2 ^ (bc4 &^ bc3)
|
||||
a[23] = bc3 ^ (bc0 &^ bc4)
|
||||
a[9] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[5] ^ d0
|
||||
bc4 = t<<18 | t>>(64-18)
|
||||
t = a[16] ^ d1
|
||||
bc0 = t<<1 | t>>(64-1)
|
||||
t = a[2] ^ d2
|
||||
bc1 = t<<6 | t>>(64-6)
|
||||
t = a[13] ^ d3
|
||||
bc2 = t<<25 | t>>(64-25)
|
||||
t = a[24] ^ d4
|
||||
bc3 = t<<8 | t>>(64-8)
|
||||
a[5] = bc0 ^ (bc2 &^ bc1)
|
||||
a[16] = bc1 ^ (bc3 &^ bc2)
|
||||
a[2] = bc2 ^ (bc4 &^ bc3)
|
||||
a[13] = bc3 ^ (bc0 &^ bc4)
|
||||
a[24] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[20] ^ d0
|
||||
bc1 = t<<36 | t>>(64-36)
|
||||
t = a[6] ^ d1
|
||||
bc2 = t<<10 | t>>(64-10)
|
||||
t = a[17] ^ d2
|
||||
bc3 = t<<15 | t>>(64-15)
|
||||
t = a[3] ^ d3
|
||||
bc4 = t<<56 | t>>(64-56)
|
||||
t = a[14] ^ d4
|
||||
bc0 = t<<27 | t>>(64-27)
|
||||
a[20] = bc0 ^ (bc2 &^ bc1)
|
||||
a[6] = bc1 ^ (bc3 &^ bc2)
|
||||
a[17] = bc2 ^ (bc4 &^ bc3)
|
||||
a[3] = bc3 ^ (bc0 &^ bc4)
|
||||
a[14] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[10] ^ d0
|
||||
bc3 = t<<41 | t>>(64-41)
|
||||
t = a[21] ^ d1
|
||||
bc4 = t<<2 | t>>(64-2)
|
||||
t = a[7] ^ d2
|
||||
bc0 = t<<62 | t>>(64-62)
|
||||
t = a[18] ^ d3
|
||||
bc1 = t<<55 | t>>(64-55)
|
||||
t = a[4] ^ d4
|
||||
bc2 = t<<39 | t>>(64-39)
|
||||
a[10] = bc0 ^ (bc2 &^ bc1)
|
||||
a[21] = bc1 ^ (bc3 &^ bc2)
|
||||
a[7] = bc2 ^ (bc4 &^ bc3)
|
||||
a[18] = bc3 ^ (bc0 &^ bc4)
|
||||
a[4] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
// Round 4
|
||||
bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20]
|
||||
bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21]
|
||||
bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22]
|
||||
bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23]
|
||||
bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24]
|
||||
d0 = bc4 ^ (bc1<<1 | bc1>>63)
|
||||
d1 = bc0 ^ (bc2<<1 | bc2>>63)
|
||||
d2 = bc1 ^ (bc3<<1 | bc3>>63)
|
||||
d3 = bc2 ^ (bc4<<1 | bc4>>63)
|
||||
d4 = bc3 ^ (bc0<<1 | bc0>>63)
|
||||
|
||||
bc0 = a[0] ^ d0
|
||||
t = a[1] ^ d1
|
||||
bc1 = t<<44 | t>>(64-44)
|
||||
t = a[2] ^ d2
|
||||
bc2 = t<<43 | t>>(64-43)
|
||||
t = a[3] ^ d3
|
||||
bc3 = t<<21 | t>>(64-21)
|
||||
t = a[4] ^ d4
|
||||
bc4 = t<<14 | t>>(64-14)
|
||||
a[0] = bc0 ^ (bc2 &^ bc1) ^ RC[i+3]
|
||||
a[1] = bc1 ^ (bc3 &^ bc2)
|
||||
a[2] = bc2 ^ (bc4 &^ bc3)
|
||||
a[3] = bc3 ^ (bc0 &^ bc4)
|
||||
a[4] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[5] ^ d0
|
||||
bc2 = t<<3 | t>>(64-3)
|
||||
t = a[6] ^ d1
|
||||
bc3 = t<<45 | t>>(64-45)
|
||||
t = a[7] ^ d2
|
||||
bc4 = t<<61 | t>>(64-61)
|
||||
t = a[8] ^ d3
|
||||
bc0 = t<<28 | t>>(64-28)
|
||||
t = a[9] ^ d4
|
||||
bc1 = t<<20 | t>>(64-20)
|
||||
a[5] = bc0 ^ (bc2 &^ bc1)
|
||||
a[6] = bc1 ^ (bc3 &^ bc2)
|
||||
a[7] = bc2 ^ (bc4 &^ bc3)
|
||||
a[8] = bc3 ^ (bc0 &^ bc4)
|
||||
a[9] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[10] ^ d0
|
||||
bc4 = t<<18 | t>>(64-18)
|
||||
t = a[11] ^ d1
|
||||
bc0 = t<<1 | t>>(64-1)
|
||||
t = a[12] ^ d2
|
||||
bc1 = t<<6 | t>>(64-6)
|
||||
t = a[13] ^ d3
|
||||
bc2 = t<<25 | t>>(64-25)
|
||||
t = a[14] ^ d4
|
||||
bc3 = t<<8 | t>>(64-8)
|
||||
a[10] = bc0 ^ (bc2 &^ bc1)
|
||||
a[11] = bc1 ^ (bc3 &^ bc2)
|
||||
a[12] = bc2 ^ (bc4 &^ bc3)
|
||||
a[13] = bc3 ^ (bc0 &^ bc4)
|
||||
a[14] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[15] ^ d0
|
||||
bc1 = t<<36 | t>>(64-36)
|
||||
t = a[16] ^ d1
|
||||
bc2 = t<<10 | t>>(64-10)
|
||||
t = a[17] ^ d2
|
||||
bc3 = t<<15 | t>>(64-15)
|
||||
t = a[18] ^ d3
|
||||
bc4 = t<<56 | t>>(64-56)
|
||||
t = a[19] ^ d4
|
||||
bc0 = t<<27 | t>>(64-27)
|
||||
a[15] = bc0 ^ (bc2 &^ bc1)
|
||||
a[16] = bc1 ^ (bc3 &^ bc2)
|
||||
a[17] = bc2 ^ (bc4 &^ bc3)
|
||||
a[18] = bc3 ^ (bc0 &^ bc4)
|
||||
a[19] = bc4 ^ (bc1 &^ bc0)
|
||||
|
||||
t = a[20] ^ d0
|
||||
bc3 = t<<41 | t>>(64-41)
|
||||
t = a[21] ^ d1
|
||||
bc4 = t<<2 | t>>(64-2)
|
||||
t = a[22] ^ d2
|
||||
bc0 = t<<62 | t>>(64-62)
|
||||
t = a[23] ^ d3
|
||||
bc1 = t<<55 | t>>(64-55)
|
||||
t = a[24] ^ d4
|
||||
bc2 = t<<39 | t>>(64-39)
|
||||
a[20] = bc0 ^ (bc2 &^ bc1)
|
||||
a[21] = bc1 ^ (bc3 &^ bc2)
|
||||
a[22] = bc2 ^ (bc4 &^ bc3)
|
||||
a[23] = bc3 ^ (bc0 &^ bc4)
|
||||
a[24] = bc4 ^ (bc1 &^ bc0)
|
||||
}
|
||||
}
|
||||
29
vendor/github.com/cloudflare/circl/internal/sha3/rc.go
generated
vendored
29
vendor/github.com/cloudflare/circl/internal/sha3/rc.go
generated
vendored
@ -1,29 +0,0 @@
|
||||
package sha3
|
||||
|
||||
// RC stores the round constants for use in the ι step.
|
||||
var RC = [24]uint64{
|
||||
0x0000000000000001,
|
||||
0x0000000000008082,
|
||||
0x800000000000808A,
|
||||
0x8000000080008000,
|
||||
0x000000000000808B,
|
||||
0x0000000080000001,
|
||||
0x8000000080008081,
|
||||
0x8000000000008009,
|
||||
0x000000000000008A,
|
||||
0x0000000000000088,
|
||||
0x0000000080008009,
|
||||
0x000000008000000A,
|
||||
0x000000008000808B,
|
||||
0x800000000000008B,
|
||||
0x8000000000008089,
|
||||
0x8000000000008003,
|
||||
0x8000000000008002,
|
||||
0x8000000000000080,
|
||||
0x000000000000800A,
|
||||
0x800000008000000A,
|
||||
0x8000000080008081,
|
||||
0x8000000000008080,
|
||||
0x0000000080000001,
|
||||
0x8000000080008008,
|
||||
}
|
||||
195
vendor/github.com/cloudflare/circl/internal/sha3/sha3.go
generated
vendored
195
vendor/github.com/cloudflare/circl/internal/sha3/sha3.go
generated
vendored
@ -1,195 +0,0 @@
|
||||
// Copyright 2014 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package sha3
|
||||
|
||||
// spongeDirection indicates the direction bytes are flowing through the sponge.
|
||||
type spongeDirection int
|
||||
|
||||
const (
|
||||
// spongeAbsorbing indicates that the sponge is absorbing input.
|
||||
spongeAbsorbing spongeDirection = iota
|
||||
// spongeSqueezing indicates that the sponge is being squeezed.
|
||||
spongeSqueezing
|
||||
)
|
||||
|
||||
const (
|
||||
// maxRate is the maximum size of the internal buffer. SHAKE-256
|
||||
// currently needs the largest buffer.
|
||||
maxRate = 168
|
||||
)
|
||||
|
||||
func (d *State) buf() []byte {
|
||||
return d.storage.asBytes()[d.bufo:d.bufe]
|
||||
}
|
||||
|
||||
type State struct {
|
||||
// Generic sponge components.
|
||||
a [25]uint64 // main state of the hash
|
||||
rate int // the number of bytes of state to use
|
||||
|
||||
bufo int // offset of buffer in storage
|
||||
bufe int // end of buffer in storage
|
||||
|
||||
// dsbyte contains the "domain separation" bits and the first bit of
|
||||
// the padding. Sections 6.1 and 6.2 of [1] separate the outputs of the
|
||||
// SHA-3 and SHAKE functions by appending bitstrings to the message.
|
||||
// Using a little-endian bit-ordering convention, these are "01" for SHA-3
|
||||
// and "1111" for SHAKE, or 00000010b and 00001111b, respectively. Then the
|
||||
// padding rule from section 5.1 is applied to pad the message to a multiple
|
||||
// of the rate, which involves adding a "1" bit, zero or more "0" bits, and
|
||||
// a final "1" bit. We merge the first "1" bit from the padding into dsbyte,
|
||||
// giving 00000110b (0x06) and 00011111b (0x1f).
|
||||
// [1] http://csrc.nist.gov/publications/drafts/fips-202/fips_202_draft.pdf
|
||||
// "Draft FIPS 202: SHA-3 Standard: Permutation-Based Hash and
|
||||
// Extendable-Output Functions (May 2014)"
|
||||
dsbyte byte
|
||||
|
||||
storage storageBuf
|
||||
|
||||
// Specific to SHA-3 and SHAKE.
|
||||
outputLen int // the default output size in bytes
|
||||
state spongeDirection // whether the sponge is absorbing or squeezing
|
||||
}
|
||||
|
||||
// BlockSize returns the rate of sponge underlying this hash function.
|
||||
func (d *State) BlockSize() int { return d.rate }
|
||||
|
||||
// Size returns the output size of the hash function in bytes.
|
||||
func (d *State) Size() int { return d.outputLen }
|
||||
|
||||
// Reset clears the internal state by zeroing the sponge state and
|
||||
// the byte buffer, and setting Sponge.state to absorbing.
|
||||
func (d *State) Reset() {
|
||||
// Zero the permutation's state.
|
||||
for i := range d.a {
|
||||
d.a[i] = 0
|
||||
}
|
||||
d.state = spongeAbsorbing
|
||||
d.bufo = 0
|
||||
d.bufe = 0
|
||||
}
|
||||
|
||||
func (d *State) clone() *State {
|
||||
ret := *d
|
||||
return &ret
|
||||
}
|
||||
|
||||
// permute applies the KeccakF-1600 permutation. It handles
|
||||
// any input-output buffering.
|
||||
func (d *State) permute() {
|
||||
switch d.state {
|
||||
case spongeAbsorbing:
|
||||
// If we're absorbing, we need to xor the input into the state
|
||||
// before applying the permutation.
|
||||
xorIn(d, d.buf())
|
||||
d.bufe = 0
|
||||
d.bufo = 0
|
||||
KeccakF1600(&d.a)
|
||||
case spongeSqueezing:
|
||||
// If we're squeezing, we need to apply the permutation before
|
||||
// copying more output.
|
||||
KeccakF1600(&d.a)
|
||||
d.bufe = d.rate
|
||||
d.bufo = 0
|
||||
copyOut(d, d.buf())
|
||||
}
|
||||
}
|
||||
|
||||
// pads appends the domain separation bits in dsbyte, applies
|
||||
// the multi-bitrate 10..1 padding rule, and permutes the state.
|
||||
func (d *State) padAndPermute(dsbyte byte) {
|
||||
// Pad with this instance's domain-separator bits. We know that there's
|
||||
// at least one byte of space in d.buf() because, if it were full,
|
||||
// permute would have been called to empty it. dsbyte also contains the
|
||||
// first one bit for the padding. See the comment in the state struct.
|
||||
zerosStart := d.bufe + 1
|
||||
d.bufe = d.rate
|
||||
buf := d.buf()
|
||||
buf[zerosStart-1] = dsbyte
|
||||
for i := zerosStart; i < d.rate; i++ {
|
||||
buf[i] = 0
|
||||
}
|
||||
// This adds the final one bit for the padding. Because of the way that
|
||||
// bits are numbered from the LSB upwards, the final bit is the MSB of
|
||||
// the last byte.
|
||||
buf[d.rate-1] ^= 0x80
|
||||
// Apply the permutation
|
||||
d.permute()
|
||||
d.state = spongeSqueezing
|
||||
d.bufe = d.rate
|
||||
copyOut(d, buf)
|
||||
}
|
||||
|
||||
// Write absorbs more data into the hash's state. It produces an error
|
||||
// if more data is written to the ShakeHash after writing
|
||||
func (d *State) Write(p []byte) (written int, err error) {
|
||||
if d.state != spongeAbsorbing {
|
||||
panic("sha3: write to sponge after read")
|
||||
}
|
||||
written = len(p)
|
||||
|
||||
for len(p) > 0 {
|
||||
bufl := d.bufe - d.bufo
|
||||
if bufl == 0 && len(p) >= d.rate {
|
||||
// The fast path; absorb a full "rate" bytes of input and apply the permutation.
|
||||
xorIn(d, p[:d.rate])
|
||||
p = p[d.rate:]
|
||||
KeccakF1600(&d.a)
|
||||
} else {
|
||||
// The slow path; buffer the input until we can fill the sponge, and then xor it in.
|
||||
todo := d.rate - bufl
|
||||
if todo > len(p) {
|
||||
todo = len(p)
|
||||
}
|
||||
d.bufe += todo
|
||||
buf := d.buf()
|
||||
copy(buf[bufl:], p[:todo])
|
||||
p = p[todo:]
|
||||
|
||||
// If the sponge is full, apply the permutation.
|
||||
if d.bufe == d.rate {
|
||||
d.permute()
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
return written, nil
|
||||
}
|
||||
|
||||
// Read squeezes an arbitrary number of bytes from the sponge.
|
||||
func (d *State) Read(out []byte) (n int, err error) {
|
||||
// If we're still absorbing, pad and apply the permutation.
|
||||
if d.state == spongeAbsorbing {
|
||||
d.padAndPermute(d.dsbyte)
|
||||
}
|
||||
|
||||
n = len(out)
|
||||
|
||||
// Now, do the squeezing.
|
||||
for len(out) > 0 {
|
||||
buf := d.buf()
|
||||
n := copy(out, buf)
|
||||
d.bufo += n
|
||||
out = out[n:]
|
||||
|
||||
// Apply the permutation if we've squeezed the sponge dry.
|
||||
if d.bufo == d.bufe {
|
||||
d.permute()
|
||||
}
|
||||
}
|
||||
|
||||
return
|
||||
}
|
||||
|
||||
// Sum applies padding to the hash state and then squeezes out the desired
|
||||
// number of output bytes.
|
||||
func (d *State) Sum(in []byte) []byte {
|
||||
// Make a copy of the original hash so that caller can keep writing
|
||||
// and summing.
|
||||
dup := d.clone()
|
||||
hash := make([]byte, dup.outputLen)
|
||||
_, _ = dup.Read(hash)
|
||||
return append(in, hash...)
|
||||
}
|
||||
33
vendor/github.com/cloudflare/circl/internal/sha3/sha3_s390x.s
generated
vendored
33
vendor/github.com/cloudflare/circl/internal/sha3/sha3_s390x.s
generated
vendored
@ -1,33 +0,0 @@
|
||||
// Copyright 2017 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
// +build !gccgo,!appengine
|
||||
|
||||
#include "textflag.h"
|
||||
|
||||
// func kimd(function code, chain *[200]byte, src []byte)
|
||||
TEXT ·kimd(SB), NOFRAME|NOSPLIT, $0-40
|
||||
MOVD function+0(FP), R0
|
||||
MOVD chain+8(FP), R1
|
||||
LMG src+16(FP), R2, R3 // R2=base, R3=len
|
||||
|
||||
continue:
|
||||
WORD $0xB93E0002 // KIMD --, R2
|
||||
BVS continue // continue if interrupted
|
||||
MOVD $0, R0 // reset R0 for pre-go1.8 compilers
|
||||
RET
|
||||
|
||||
// func klmd(function code, chain *[200]byte, dst, src []byte)
|
||||
TEXT ·klmd(SB), NOFRAME|NOSPLIT, $0-64
|
||||
// TODO: SHAKE support
|
||||
MOVD function+0(FP), R0
|
||||
MOVD chain+8(FP), R1
|
||||
LMG dst+16(FP), R2, R3 // R2=base, R3=len
|
||||
LMG src+40(FP), R4, R5 // R4=base, R5=len
|
||||
|
||||
continue:
|
||||
WORD $0xB93F0024 // KLMD R2, R4
|
||||
BVS continue // continue if interrupted
|
||||
MOVD $0, R0 // reset R0 for pre-go1.8 compilers
|
||||
RET
|
||||
79
vendor/github.com/cloudflare/circl/internal/sha3/shake.go
generated
vendored
79
vendor/github.com/cloudflare/circl/internal/sha3/shake.go
generated
vendored
@ -1,79 +0,0 @@
|
||||
// Copyright 2014 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
package sha3
|
||||
|
||||
// This file defines the ShakeHash interface, and provides
|
||||
// functions for creating SHAKE and cSHAKE instances, as well as utility
|
||||
// functions for hashing bytes to arbitrary-length output.
|
||||
//
|
||||
//
|
||||
// SHAKE implementation is based on FIPS PUB 202 [1]
|
||||
// cSHAKE implementations is based on NIST SP 800-185 [2]
|
||||
//
|
||||
// [1] https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.202.pdf
|
||||
// [2] https://doi.org/10.6028/NIST.SP.800-185
|
||||
|
||||
import (
|
||||
"io"
|
||||
)
|
||||
|
||||
// ShakeHash defines the interface to hash functions that
|
||||
// support arbitrary-length output.
|
||||
type ShakeHash interface {
|
||||
// Write absorbs more data into the hash's state. It panics if input is
|
||||
// written to it after output has been read from it.
|
||||
io.Writer
|
||||
|
||||
// Read reads more output from the hash; reading affects the hash's
|
||||
// state. (ShakeHash.Read is thus very different from Hash.Sum)
|
||||
// It never returns an error.
|
||||
io.Reader
|
||||
|
||||
// Clone returns a copy of the ShakeHash in its current state.
|
||||
Clone() ShakeHash
|
||||
|
||||
// Reset resets the ShakeHash to its initial state.
|
||||
Reset()
|
||||
}
|
||||
|
||||
// Consts for configuring initial SHA-3 state
|
||||
const (
|
||||
dsbyteShake = 0x1f
|
||||
rate128 = 168
|
||||
rate256 = 136
|
||||
)
|
||||
|
||||
// Clone returns copy of SHAKE context within its current state.
|
||||
func (d *State) Clone() ShakeHash {
|
||||
return d.clone()
|
||||
}
|
||||
|
||||
// NewShake128 creates a new SHAKE128 variable-output-length ShakeHash.
|
||||
// Its generic security strength is 128 bits against all attacks if at
|
||||
// least 32 bytes of its output are used.
|
||||
func NewShake128() State {
|
||||
return State{rate: rate128, dsbyte: dsbyteShake}
|
||||
}
|
||||
|
||||
// NewShake256 creates a new SHAKE256 variable-output-length ShakeHash.
|
||||
// Its generic security strength is 256 bits against all attacks if
|
||||
// at least 64 bytes of its output are used.
|
||||
func NewShake256() State {
|
||||
return State{rate: rate256, dsbyte: dsbyteShake}
|
||||
}
|
||||
|
||||
// ShakeSum128 writes an arbitrary-length digest of data into hash.
|
||||
func ShakeSum128(hash, data []byte) {
|
||||
h := NewShake128()
|
||||
_, _ = h.Write(data)
|
||||
_, _ = h.Read(hash)
|
||||
}
|
||||
|
||||
// ShakeSum256 writes an arbitrary-length digest of data into hash.
|
||||
func ShakeSum256(hash, data []byte) {
|
||||
h := NewShake256()
|
||||
_, _ = h.Write(data)
|
||||
_, _ = h.Read(hash)
|
||||
}
|
||||
15
vendor/github.com/cloudflare/circl/internal/sha3/xor.go
generated
vendored
15
vendor/github.com/cloudflare/circl/internal/sha3/xor.go
generated
vendored
@ -1,15 +0,0 @@
|
||||
// Copyright 2015 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
//go:build (!amd64 && !386 && !ppc64le) || appengine
|
||||
// +build !amd64,!386,!ppc64le appengine
|
||||
|
||||
package sha3
|
||||
|
||||
// A storageBuf is an aligned array of maxRate bytes.
|
||||
type storageBuf [maxRate]byte
|
||||
|
||||
func (b *storageBuf) asBytes() *[maxRate]byte {
|
||||
return (*[maxRate]byte)(b)
|
||||
}
|
||||
33
vendor/github.com/cloudflare/circl/internal/sha3/xor_generic.go
generated
vendored
33
vendor/github.com/cloudflare/circl/internal/sha3/xor_generic.go
generated
vendored
@ -1,33 +0,0 @@
|
||||
// Copyright 2015 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
//go:build (!amd64 || appengine) && (!386 || appengine) && (!ppc64le || appengine)
|
||||
// +build !amd64 appengine
|
||||
// +build !386 appengine
|
||||
// +build !ppc64le appengine
|
||||
|
||||
package sha3
|
||||
|
||||
import "encoding/binary"
|
||||
|
||||
// xorIn xors the bytes in buf into the state; it
|
||||
// makes no non-portable assumptions about memory layout
|
||||
// or alignment.
|
||||
func xorIn(d *State, buf []byte) {
|
||||
n := len(buf) / 8
|
||||
|
||||
for i := 0; i < n; i++ {
|
||||
a := binary.LittleEndian.Uint64(buf)
|
||||
d.a[i] ^= a
|
||||
buf = buf[8:]
|
||||
}
|
||||
}
|
||||
|
||||
// copyOut copies ulint64s to a byte buffer.
|
||||
func copyOut(d *State, b []byte) {
|
||||
for i := 0; len(b) >= 8; i++ {
|
||||
binary.LittleEndian.PutUint64(b, d.a[i])
|
||||
b = b[8:]
|
||||
}
|
||||
}
|
||||
61
vendor/github.com/cloudflare/circl/internal/sha3/xor_unaligned.go
generated
vendored
61
vendor/github.com/cloudflare/circl/internal/sha3/xor_unaligned.go
generated
vendored
@ -1,61 +0,0 @@
|
||||
// Copyright 2015 The Go Authors. All rights reserved.
|
||||
// Use of this source code is governed by a BSD-style
|
||||
// license that can be found in the LICENSE file.
|
||||
|
||||
//go:build (amd64 || 386 || ppc64le) && !appengine
|
||||
// +build amd64 386 ppc64le
|
||||
// +build !appengine
|
||||
|
||||
package sha3
|
||||
|
||||
import "unsafe"
|
||||
|
||||
// A storageBuf is an aligned array of maxRate bytes.
|
||||
type storageBuf [maxRate / 8]uint64
|
||||
|
||||
func (b *storageBuf) asBytes() *[maxRate]byte {
|
||||
return (*[maxRate]byte)(unsafe.Pointer(b))
|
||||
}
|
||||
|
||||
// xorInuses unaligned reads and writes to update d.a to contain d.a
|
||||
// XOR buf.
|
||||
func xorIn(d *State, buf []byte) {
|
||||
n := len(buf)
|
||||
bw := (*[maxRate / 8]uint64)(unsafe.Pointer(&buf[0]))[: n/8 : n/8]
|
||||
if n >= 72 {
|
||||
d.a[0] ^= bw[0]
|
||||
d.a[1] ^= bw[1]
|
||||
d.a[2] ^= bw[2]
|
||||
d.a[3] ^= bw[3]
|
||||
d.a[4] ^= bw[4]
|
||||
d.a[5] ^= bw[5]
|
||||
d.a[6] ^= bw[6]
|
||||
d.a[7] ^= bw[7]
|
||||
d.a[8] ^= bw[8]
|
||||
}
|
||||
if n >= 104 {
|
||||
d.a[9] ^= bw[9]
|
||||
d.a[10] ^= bw[10]
|
||||
d.a[11] ^= bw[11]
|
||||
d.a[12] ^= bw[12]
|
||||
}
|
||||
if n >= 136 {
|
||||
d.a[13] ^= bw[13]
|
||||
d.a[14] ^= bw[14]
|
||||
d.a[15] ^= bw[15]
|
||||
d.a[16] ^= bw[16]
|
||||
}
|
||||
if n >= 144 {
|
||||
d.a[17] ^= bw[17]
|
||||
}
|
||||
if n >= 168 {
|
||||
d.a[18] ^= bw[18]
|
||||
d.a[19] ^= bw[19]
|
||||
d.a[20] ^= bw[20]
|
||||
}
|
||||
}
|
||||
|
||||
func copyOut(d *State, buf []byte) {
|
||||
ab := (*[maxRate]uint8)(unsafe.Pointer(&d.a[0]))
|
||||
copy(buf, ab[:])
|
||||
}
|
||||
205
vendor/github.com/cloudflare/circl/math/fp25519/fp.go
generated
vendored
205
vendor/github.com/cloudflare/circl/math/fp25519/fp.go
generated
vendored
@ -1,205 +0,0 @@
|
||||
// Package fp25519 provides prime field arithmetic over GF(2^255-19).
|
||||
package fp25519
|
||||
|
||||
import (
|
||||
"errors"
|
||||
|
||||
"github.com/cloudflare/circl/internal/conv"
|
||||
)
|
||||
|
||||
// Size in bytes of an element.
|
||||
const Size = 32
|
||||
|
||||
// Elt is a prime field element.
|
||||
type Elt [Size]byte
|
||||
|
||||
func (e Elt) String() string { return conv.BytesLe2Hex(e[:]) }
|
||||
|
||||
// p is the prime modulus 2^255-19.
|
||||
var p = Elt{
|
||||
0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f,
|
||||
}
|
||||
|
||||
// P returns the prime modulus 2^255-19.
|
||||
func P() Elt { return p }
|
||||
|
||||
// ToBytes stores in b the little-endian byte representation of x.
|
||||
func ToBytes(b []byte, x *Elt) error {
|
||||
if len(b) != Size {
|
||||
return errors.New("wrong size")
|
||||
}
|
||||
Modp(x)
|
||||
copy(b, x[:])
|
||||
return nil
|
||||
}
|
||||
|
||||
// IsZero returns true if x is equal to 0.
|
||||
func IsZero(x *Elt) bool { Modp(x); return *x == Elt{} }
|
||||
|
||||
// SetOne assigns x=1.
|
||||
func SetOne(x *Elt) { *x = Elt{}; x[0] = 1 }
|
||||
|
||||
// Neg calculates z = -x.
|
||||
func Neg(z, x *Elt) { Sub(z, &p, x) }
|
||||
|
||||
// InvSqrt calculates z = sqrt(x/y) iff x/y is a quadratic-residue, which is
|
||||
// indicated by returning isQR = true. Otherwise, when x/y is a quadratic
|
||||
// non-residue, z will have an undetermined value and isQR = false.
|
||||
func InvSqrt(z, x, y *Elt) (isQR bool) {
|
||||
sqrtMinusOne := &Elt{
|
||||
0xb0, 0xa0, 0x0e, 0x4a, 0x27, 0x1b, 0xee, 0xc4,
|
||||
0x78, 0xe4, 0x2f, 0xad, 0x06, 0x18, 0x43, 0x2f,
|
||||
0xa7, 0xd7, 0xfb, 0x3d, 0x99, 0x00, 0x4d, 0x2b,
|
||||
0x0b, 0xdf, 0xc1, 0x4f, 0x80, 0x24, 0x83, 0x2b,
|
||||
}
|
||||
t0, t1, t2, t3 := &Elt{}, &Elt{}, &Elt{}, &Elt{}
|
||||
|
||||
Mul(t0, x, y) // t0 = u*v
|
||||
Sqr(t1, y) // t1 = v^2
|
||||
Mul(t2, t0, t1) // t2 = u*v^3
|
||||
Sqr(t0, t1) // t0 = v^4
|
||||
Mul(t1, t0, t2) // t1 = u*v^7
|
||||
|
||||
var Tab [4]*Elt
|
||||
Tab[0] = &Elt{}
|
||||
Tab[1] = &Elt{}
|
||||
Tab[2] = t3
|
||||
Tab[3] = t1
|
||||
|
||||
*Tab[0] = *t1
|
||||
Sqr(Tab[0], Tab[0])
|
||||
Sqr(Tab[1], Tab[0])
|
||||
Sqr(Tab[1], Tab[1])
|
||||
Mul(Tab[1], Tab[1], Tab[3])
|
||||
Mul(Tab[0], Tab[0], Tab[1])
|
||||
Sqr(Tab[0], Tab[0])
|
||||
Mul(Tab[0], Tab[0], Tab[1])
|
||||
Sqr(Tab[1], Tab[0])
|
||||
for i := 0; i < 4; i++ {
|
||||
Sqr(Tab[1], Tab[1])
|
||||
}
|
||||
Mul(Tab[1], Tab[1], Tab[0])
|
||||
Sqr(Tab[2], Tab[1])
|
||||
for i := 0; i < 4; i++ {
|
||||
Sqr(Tab[2], Tab[2])
|
||||
}
|
||||
Mul(Tab[2], Tab[2], Tab[0])
|
||||
Sqr(Tab[1], Tab[2])
|
||||
for i := 0; i < 14; i++ {
|
||||
Sqr(Tab[1], Tab[1])
|
||||
}
|
||||
Mul(Tab[1], Tab[1], Tab[2])
|
||||
Sqr(Tab[2], Tab[1])
|
||||
for i := 0; i < 29; i++ {
|
||||
Sqr(Tab[2], Tab[2])
|
||||
}
|
||||
Mul(Tab[2], Tab[2], Tab[1])
|
||||
Sqr(Tab[1], Tab[2])
|
||||
for i := 0; i < 59; i++ {
|
||||
Sqr(Tab[1], Tab[1])
|
||||
}
|
||||
Mul(Tab[1], Tab[1], Tab[2])
|
||||
for i := 0; i < 5; i++ {
|
||||
Sqr(Tab[1], Tab[1])
|
||||
}
|
||||
Mul(Tab[1], Tab[1], Tab[0])
|
||||
Sqr(Tab[2], Tab[1])
|
||||
for i := 0; i < 124; i++ {
|
||||
Sqr(Tab[2], Tab[2])
|
||||
}
|
||||
Mul(Tab[2], Tab[2], Tab[1])
|
||||
Sqr(Tab[2], Tab[2])
|
||||
Sqr(Tab[2], Tab[2])
|
||||
Mul(Tab[2], Tab[2], Tab[3])
|
||||
|
||||
Mul(z, t3, t2) // z = xy^(p+3)/8 = xy^3*(xy^7)^(p-5)/8
|
||||
// Checking whether y z^2 == x
|
||||
Sqr(t0, z) // t0 = z^2
|
||||
Mul(t0, t0, y) // t0 = yz^2
|
||||
Sub(t1, t0, x) // t1 = t0-u
|
||||
Add(t2, t0, x) // t2 = t0+u
|
||||
if IsZero(t1) {
|
||||
return true
|
||||
} else if IsZero(t2) {
|
||||
Mul(z, z, sqrtMinusOne) // z = z*sqrt(-1)
|
||||
return true
|
||||
} else {
|
||||
return false
|
||||
}
|
||||
}
|
||||
|
||||
// Inv calculates z = 1/x mod p.
|
||||
func Inv(z, x *Elt) {
|
||||
x0, x1, x2 := &Elt{}, &Elt{}, &Elt{}
|
||||
Sqr(x1, x)
|
||||
Sqr(x0, x1)
|
||||
Sqr(x0, x0)
|
||||
Mul(x0, x0, x)
|
||||
Mul(z, x0, x1)
|
||||
Sqr(x1, z)
|
||||
Mul(x0, x0, x1)
|
||||
Sqr(x1, x0)
|
||||
for i := 0; i < 4; i++ {
|
||||
Sqr(x1, x1)
|
||||
}
|
||||
Mul(x0, x0, x1)
|
||||
Sqr(x1, x0)
|
||||
for i := 0; i < 9; i++ {
|
||||
Sqr(x1, x1)
|
||||
}
|
||||
Mul(x1, x1, x0)
|
||||
Sqr(x2, x1)
|
||||
for i := 0; i < 19; i++ {
|
||||
Sqr(x2, x2)
|
||||
}
|
||||
Mul(x2, x2, x1)
|
||||
for i := 0; i < 10; i++ {
|
||||
Sqr(x2, x2)
|
||||
}
|
||||
Mul(x2, x2, x0)
|
||||
Sqr(x0, x2)
|
||||
for i := 0; i < 49; i++ {
|
||||
Sqr(x0, x0)
|
||||
}
|
||||
Mul(x0, x0, x2)
|
||||
Sqr(x1, x0)
|
||||
for i := 0; i < 99; i++ {
|
||||
Sqr(x1, x1)
|
||||
}
|
||||
Mul(x1, x1, x0)
|
||||
for i := 0; i < 50; i++ {
|
||||
Sqr(x1, x1)
|
||||
}
|
||||
Mul(x1, x1, x2)
|
||||
for i := 0; i < 5; i++ {
|
||||
Sqr(x1, x1)
|
||||
}
|
||||
Mul(z, z, x1)
|
||||
}
|
||||
|
||||
// Cmov assigns y to x if n is 1.
|
||||
func Cmov(x, y *Elt, n uint) { cmov(x, y, n) }
|
||||
|
||||
// Cswap interchanges x and y if n is 1.
|
||||
func Cswap(x, y *Elt, n uint) { cswap(x, y, n) }
|
||||
|
||||
// Add calculates z = x+y mod p.
|
||||
func Add(z, x, y *Elt) { add(z, x, y) }
|
||||
|
||||
// Sub calculates z = x-y mod p.
|
||||
func Sub(z, x, y *Elt) { sub(z, x, y) }
|
||||
|
||||
// AddSub calculates (x,y) = (x+y mod p, x-y mod p).
|
||||
func AddSub(x, y *Elt) { addsub(x, y) }
|
||||
|
||||
// Mul calculates z = x*y mod p.
|
||||
func Mul(z, x, y *Elt) { mul(z, x, y) }
|
||||
|
||||
// Sqr calculates z = x^2 mod p.
|
||||
func Sqr(z, x *Elt) { sqr(z, x) }
|
||||
|
||||
// Modp ensures that z is between [0,p-1].
|
||||
func Modp(z *Elt) { modp(z) }
|
||||
45
vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.go
generated
vendored
45
vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.go
generated
vendored
@ -1,45 +0,0 @@
|
||||
//go:build amd64 && !purego
|
||||
// +build amd64,!purego
|
||||
|
||||
package fp25519
|
||||
|
||||
import (
|
||||
"golang.org/x/sys/cpu"
|
||||
)
|
||||
|
||||
var hasBmi2Adx = cpu.X86.HasBMI2 && cpu.X86.HasADX
|
||||
|
||||
var _ = hasBmi2Adx
|
||||
|
||||
func cmov(x, y *Elt, n uint) { cmovAmd64(x, y, n) }
|
||||
func cswap(x, y *Elt, n uint) { cswapAmd64(x, y, n) }
|
||||
func add(z, x, y *Elt) { addAmd64(z, x, y) }
|
||||
func sub(z, x, y *Elt) { subAmd64(z, x, y) }
|
||||
func addsub(x, y *Elt) { addsubAmd64(x, y) }
|
||||
func mul(z, x, y *Elt) { mulAmd64(z, x, y) }
|
||||
func sqr(z, x *Elt) { sqrAmd64(z, x) }
|
||||
func modp(z *Elt) { modpAmd64(z) }
|
||||
|
||||
//go:noescape
|
||||
func cmovAmd64(x, y *Elt, n uint)
|
||||
|
||||
//go:noescape
|
||||
func cswapAmd64(x, y *Elt, n uint)
|
||||
|
||||
//go:noescape
|
||||
func addAmd64(z, x, y *Elt)
|
||||
|
||||
//go:noescape
|
||||
func subAmd64(z, x, y *Elt)
|
||||
|
||||
//go:noescape
|
||||
func addsubAmd64(x, y *Elt)
|
||||
|
||||
//go:noescape
|
||||
func mulAmd64(z, x, y *Elt)
|
||||
|
||||
//go:noescape
|
||||
func sqrAmd64(z, x *Elt)
|
||||
|
||||
//go:noescape
|
||||
func modpAmd64(z *Elt)
|
||||
351
vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.h
generated
vendored
351
vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.h
generated
vendored
@ -1,351 +0,0 @@
|
||||
// This code was imported from https://github.com/armfazh/rfc7748_precomputed
|
||||
|
||||
// CHECK_BMI2ADX triggers bmi2adx if supported,
|
||||
// otherwise it fallbacks to legacy code.
|
||||
#define CHECK_BMI2ADX(label, legacy, bmi2adx) \
|
||||
CMPB ·hasBmi2Adx(SB), $0 \
|
||||
JE label \
|
||||
bmi2adx \
|
||||
RET \
|
||||
label: \
|
||||
legacy \
|
||||
RET
|
||||
|
||||
// cselect is a conditional move
|
||||
// if b=1: it copies y into x;
|
||||
// if b=0: x remains with the same value;
|
||||
// if b<> 0,1: undefined.
|
||||
// Uses: AX, DX, FLAGS
|
||||
// Instr: x86_64, cmov
|
||||
#define cselect(x,y,b) \
|
||||
TESTQ b, b \
|
||||
MOVQ 0+x, AX; MOVQ 0+y, DX; CMOVQNE DX, AX; MOVQ AX, 0+x; \
|
||||
MOVQ 8+x, AX; MOVQ 8+y, DX; CMOVQNE DX, AX; MOVQ AX, 8+x; \
|
||||
MOVQ 16+x, AX; MOVQ 16+y, DX; CMOVQNE DX, AX; MOVQ AX, 16+x; \
|
||||
MOVQ 24+x, AX; MOVQ 24+y, DX; CMOVQNE DX, AX; MOVQ AX, 24+x;
|
||||
|
||||
// cswap is a conditional swap
|
||||
// if b=1: x,y <- y,x;
|
||||
// if b=0: x,y remain with the same values;
|
||||
// if b<> 0,1: undefined.
|
||||
// Uses: AX, DX, R8, FLAGS
|
||||
// Instr: x86_64, cmov
|
||||
#define cswap(x,y,b) \
|
||||
TESTQ b, b \
|
||||
MOVQ 0+x, AX; MOVQ AX, R8; MOVQ 0+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 0+x; MOVQ DX, 0+y; \
|
||||
MOVQ 8+x, AX; MOVQ AX, R8; MOVQ 8+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 8+x; MOVQ DX, 8+y; \
|
||||
MOVQ 16+x, AX; MOVQ AX, R8; MOVQ 16+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 16+x; MOVQ DX, 16+y; \
|
||||
MOVQ 24+x, AX; MOVQ AX, R8; MOVQ 24+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 24+x; MOVQ DX, 24+y;
|
||||
|
||||
// additionLeg adds x and y and stores in z
|
||||
// Uses: AX, DX, R8-R11, FLAGS
|
||||
// Instr: x86_64, cmov
|
||||
#define additionLeg(z,x,y) \
|
||||
MOVL $38, AX; \
|
||||
MOVL $0, DX; \
|
||||
MOVQ 0+x, R8; ADDQ 0+y, R8; \
|
||||
MOVQ 8+x, R9; ADCQ 8+y, R9; \
|
||||
MOVQ 16+x, R10; ADCQ 16+y, R10; \
|
||||
MOVQ 24+x, R11; ADCQ 24+y, R11; \
|
||||
CMOVQCS AX, DX; \
|
||||
ADDQ DX, R8; \
|
||||
ADCQ $0, R9; MOVQ R9, 8+z; \
|
||||
ADCQ $0, R10; MOVQ R10, 16+z; \
|
||||
ADCQ $0, R11; MOVQ R11, 24+z; \
|
||||
MOVL $0, DX; \
|
||||
CMOVQCS AX, DX; \
|
||||
ADDQ DX, R8; MOVQ R8, 0+z;
|
||||
|
||||
// additionAdx adds x and y and stores in z
|
||||
// Uses: AX, DX, R8-R11, FLAGS
|
||||
// Instr: x86_64, cmov, adx
|
||||
#define additionAdx(z,x,y) \
|
||||
MOVL $38, AX; \
|
||||
XORL DX, DX; \
|
||||
MOVQ 0+x, R8; ADCXQ 0+y, R8; \
|
||||
MOVQ 8+x, R9; ADCXQ 8+y, R9; \
|
||||
MOVQ 16+x, R10; ADCXQ 16+y, R10; \
|
||||
MOVQ 24+x, R11; ADCXQ 24+y, R11; \
|
||||
CMOVQCS AX, DX ; \
|
||||
XORL AX, AX; \
|
||||
ADCXQ DX, R8; \
|
||||
ADCXQ AX, R9; MOVQ R9, 8+z; \
|
||||
ADCXQ AX, R10; MOVQ R10, 16+z; \
|
||||
ADCXQ AX, R11; MOVQ R11, 24+z; \
|
||||
MOVL $38, DX; \
|
||||
CMOVQCS DX, AX; \
|
||||
ADDQ AX, R8; MOVQ R8, 0+z;
|
||||
|
||||
// subtraction subtracts y from x and stores in z
|
||||
// Uses: AX, DX, R8-R11, FLAGS
|
||||
// Instr: x86_64, cmov
|
||||
#define subtraction(z,x,y) \
|
||||
MOVL $38, AX; \
|
||||
MOVQ 0+x, R8; SUBQ 0+y, R8; \
|
||||
MOVQ 8+x, R9; SBBQ 8+y, R9; \
|
||||
MOVQ 16+x, R10; SBBQ 16+y, R10; \
|
||||
MOVQ 24+x, R11; SBBQ 24+y, R11; \
|
||||
MOVL $0, DX; \
|
||||
CMOVQCS AX, DX; \
|
||||
SUBQ DX, R8; \
|
||||
SBBQ $0, R9; MOVQ R9, 8+z; \
|
||||
SBBQ $0, R10; MOVQ R10, 16+z; \
|
||||
SBBQ $0, R11; MOVQ R11, 24+z; \
|
||||
MOVL $0, DX; \
|
||||
CMOVQCS AX, DX; \
|
||||
SUBQ DX, R8; MOVQ R8, 0+z;
|
||||
|
||||
// integerMulAdx multiplies x and y and stores in z
|
||||
// Uses: AX, DX, R8-R15, FLAGS
|
||||
// Instr: x86_64, bmi2, adx
|
||||
#define integerMulAdx(z,x,y) \
|
||||
MOVL $0,R15; \
|
||||
MOVQ 0+y, DX; XORL AX, AX; \
|
||||
MULXQ 0+x, AX, R8; MOVQ AX, 0+z; \
|
||||
MULXQ 8+x, AX, R9; ADCXQ AX, R8; \
|
||||
MULXQ 16+x, AX, R10; ADCXQ AX, R9; \
|
||||
MULXQ 24+x, AX, R11; ADCXQ AX, R10; \
|
||||
MOVL $0, AX;;;;;;;;; ADCXQ AX, R11; \
|
||||
MOVQ 8+y, DX; XORL AX, AX; \
|
||||
MULXQ 0+x, AX, R12; ADCXQ R8, AX; MOVQ AX, 8+z; \
|
||||
MULXQ 8+x, AX, R13; ADCXQ R9, R12; ADOXQ AX, R12; \
|
||||
MULXQ 16+x, AX, R14; ADCXQ R10, R13; ADOXQ AX, R13; \
|
||||
MULXQ 24+x, AX, R15; ADCXQ R11, R14; ADOXQ AX, R14; \
|
||||
MOVL $0, AX;;;;;;;;; ADCXQ AX, R15; ADOXQ AX, R15; \
|
||||
MOVQ 16+y, DX; XORL AX, AX; \
|
||||
MULXQ 0+x, AX, R8; ADCXQ R12, AX; MOVQ AX, 16+z; \
|
||||
MULXQ 8+x, AX, R9; ADCXQ R13, R8; ADOXQ AX, R8; \
|
||||
MULXQ 16+x, AX, R10; ADCXQ R14, R9; ADOXQ AX, R9; \
|
||||
MULXQ 24+x, AX, R11; ADCXQ R15, R10; ADOXQ AX, R10; \
|
||||
MOVL $0, AX;;;;;;;;; ADCXQ AX, R11; ADOXQ AX, R11; \
|
||||
MOVQ 24+y, DX; XORL AX, AX; \
|
||||
MULXQ 0+x, AX, R12; ADCXQ R8, AX; MOVQ AX, 24+z; \
|
||||
MULXQ 8+x, AX, R13; ADCXQ R9, R12; ADOXQ AX, R12; MOVQ R12, 32+z; \
|
||||
MULXQ 16+x, AX, R14; ADCXQ R10, R13; ADOXQ AX, R13; MOVQ R13, 40+z; \
|
||||
MULXQ 24+x, AX, R15; ADCXQ R11, R14; ADOXQ AX, R14; MOVQ R14, 48+z; \
|
||||
MOVL $0, AX;;;;;;;;; ADCXQ AX, R15; ADOXQ AX, R15; MOVQ R15, 56+z;
|
||||
|
||||
// integerMulLeg multiplies x and y and stores in z
|
||||
// Uses: AX, DX, R8-R15, FLAGS
|
||||
// Instr: x86_64
|
||||
#define integerMulLeg(z,x,y) \
|
||||
MOVQ 0+y, R8; \
|
||||
MOVQ 0+x, AX; MULQ R8; MOVQ AX, 0+z; MOVQ DX, R15; \
|
||||
MOVQ 8+x, AX; MULQ R8; MOVQ AX, R13; MOVQ DX, R10; \
|
||||
MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; \
|
||||
MOVQ 24+x, AX; MULQ R8; \
|
||||
ADDQ R13, R15; \
|
||||
ADCQ R14, R10; MOVQ R10, 16+z; \
|
||||
ADCQ AX, R11; MOVQ R11, 24+z; \
|
||||
ADCQ $0, DX; MOVQ DX, 32+z; \
|
||||
MOVQ 8+y, R8; \
|
||||
MOVQ 0+x, AX; MULQ R8; MOVQ AX, R12; MOVQ DX, R9; \
|
||||
MOVQ 8+x, AX; MULQ R8; MOVQ AX, R13; MOVQ DX, R10; \
|
||||
MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; \
|
||||
MOVQ 24+x, AX; MULQ R8; \
|
||||
ADDQ R12, R15; MOVQ R15, 8+z; \
|
||||
ADCQ R13, R9; \
|
||||
ADCQ R14, R10; \
|
||||
ADCQ AX, R11; \
|
||||
ADCQ $0, DX; \
|
||||
ADCQ 16+z, R9; MOVQ R9, R15; \
|
||||
ADCQ 24+z, R10; MOVQ R10, 24+z; \
|
||||
ADCQ 32+z, R11; MOVQ R11, 32+z; \
|
||||
ADCQ $0, DX; MOVQ DX, 40+z; \
|
||||
MOVQ 16+y, R8; \
|
||||
MOVQ 0+x, AX; MULQ R8; MOVQ AX, R12; MOVQ DX, R9; \
|
||||
MOVQ 8+x, AX; MULQ R8; MOVQ AX, R13; MOVQ DX, R10; \
|
||||
MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; \
|
||||
MOVQ 24+x, AX; MULQ R8; \
|
||||
ADDQ R12, R15; MOVQ R15, 16+z; \
|
||||
ADCQ R13, R9; \
|
||||
ADCQ R14, R10; \
|
||||
ADCQ AX, R11; \
|
||||
ADCQ $0, DX; \
|
||||
ADCQ 24+z, R9; MOVQ R9, R15; \
|
||||
ADCQ 32+z, R10; MOVQ R10, 32+z; \
|
||||
ADCQ 40+z, R11; MOVQ R11, 40+z; \
|
||||
ADCQ $0, DX; MOVQ DX, 48+z; \
|
||||
MOVQ 24+y, R8; \
|
||||
MOVQ 0+x, AX; MULQ R8; MOVQ AX, R12; MOVQ DX, R9; \
|
||||
MOVQ 8+x, AX; MULQ R8; MOVQ AX, R13; MOVQ DX, R10; \
|
||||
MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; \
|
||||
MOVQ 24+x, AX; MULQ R8; \
|
||||
ADDQ R12, R15; MOVQ R15, 24+z; \
|
||||
ADCQ R13, R9; \
|
||||
ADCQ R14, R10; \
|
||||
ADCQ AX, R11; \
|
||||
ADCQ $0, DX; \
|
||||
ADCQ 32+z, R9; MOVQ R9, 32+z; \
|
||||
ADCQ 40+z, R10; MOVQ R10, 40+z; \
|
||||
ADCQ 48+z, R11; MOVQ R11, 48+z; \
|
||||
ADCQ $0, DX; MOVQ DX, 56+z;
|
||||
|
||||
// integerSqrLeg squares x and stores in z
|
||||
// Uses: AX, CX, DX, R8-R15, FLAGS
|
||||
// Instr: x86_64
|
||||
#define integerSqrLeg(z,x) \
|
||||
MOVQ 0+x, R8; \
|
||||
MOVQ 8+x, AX; MULQ R8; MOVQ AX, R9; MOVQ DX, R10; /* A[0]*A[1] */ \
|
||||
MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; /* A[0]*A[2] */ \
|
||||
MOVQ 24+x, AX; MULQ R8; MOVQ AX, R15; MOVQ DX, R12; /* A[0]*A[3] */ \
|
||||
MOVQ 24+x, R8; \
|
||||
MOVQ 8+x, AX; MULQ R8; MOVQ AX, CX; MOVQ DX, R13; /* A[3]*A[1] */ \
|
||||
MOVQ 16+x, AX; MULQ R8; /* A[3]*A[2] */ \
|
||||
\
|
||||
ADDQ R14, R10;\
|
||||
ADCQ R15, R11; MOVL $0, R15;\
|
||||
ADCQ CX, R12;\
|
||||
ADCQ AX, R13;\
|
||||
ADCQ $0, DX; MOVQ DX, R14;\
|
||||
MOVQ 8+x, AX; MULQ 16+x;\
|
||||
\
|
||||
ADDQ AX, R11;\
|
||||
ADCQ DX, R12;\
|
||||
ADCQ $0, R13;\
|
||||
ADCQ $0, R14;\
|
||||
ADCQ $0, R15;\
|
||||
\
|
||||
SHLQ $1, R14, R15; MOVQ R15, 56+z;\
|
||||
SHLQ $1, R13, R14; MOVQ R14, 48+z;\
|
||||
SHLQ $1, R12, R13; MOVQ R13, 40+z;\
|
||||
SHLQ $1, R11, R12; MOVQ R12, 32+z;\
|
||||
SHLQ $1, R10, R11; MOVQ R11, 24+z;\
|
||||
SHLQ $1, R9, R10; MOVQ R10, 16+z;\
|
||||
SHLQ $1, R9; MOVQ R9, 8+z;\
|
||||
\
|
||||
MOVQ 0+x,AX; MULQ AX; MOVQ AX, 0+z; MOVQ DX, R9;\
|
||||
MOVQ 8+x,AX; MULQ AX; MOVQ AX, R10; MOVQ DX, R11;\
|
||||
MOVQ 16+x,AX; MULQ AX; MOVQ AX, R12; MOVQ DX, R13;\
|
||||
MOVQ 24+x,AX; MULQ AX; MOVQ AX, R14; MOVQ DX, R15;\
|
||||
\
|
||||
ADDQ 8+z, R9; MOVQ R9, 8+z;\
|
||||
ADCQ 16+z, R10; MOVQ R10, 16+z;\
|
||||
ADCQ 24+z, R11; MOVQ R11, 24+z;\
|
||||
ADCQ 32+z, R12; MOVQ R12, 32+z;\
|
||||
ADCQ 40+z, R13; MOVQ R13, 40+z;\
|
||||
ADCQ 48+z, R14; MOVQ R14, 48+z;\
|
||||
ADCQ 56+z, R15; MOVQ R15, 56+z;
|
||||
|
||||
// integerSqrAdx squares x and stores in z
|
||||
// Uses: AX, CX, DX, R8-R15, FLAGS
|
||||
// Instr: x86_64, bmi2, adx
|
||||
#define integerSqrAdx(z,x) \
|
||||
MOVQ 0+x, DX; /* A[0] */ \
|
||||
MULXQ 8+x, R8, R14; /* A[1]*A[0] */ XORL R15, R15; \
|
||||
MULXQ 16+x, R9, R10; /* A[2]*A[0] */ ADCXQ R14, R9; \
|
||||
MULXQ 24+x, AX, CX; /* A[3]*A[0] */ ADCXQ AX, R10; \
|
||||
MOVQ 24+x, DX; /* A[3] */ \
|
||||
MULXQ 8+x, R11, R12; /* A[1]*A[3] */ ADCXQ CX, R11; \
|
||||
MULXQ 16+x, AX, R13; /* A[2]*A[3] */ ADCXQ AX, R12; \
|
||||
MOVQ 8+x, DX; /* A[1] */ ADCXQ R15, R13; \
|
||||
MULXQ 16+x, AX, CX; /* A[2]*A[1] */ MOVL $0, R14; \
|
||||
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ADCXQ R15, R14; \
|
||||
XORL R15, R15; \
|
||||
ADOXQ AX, R10; ADCXQ R8, R8; \
|
||||
ADOXQ CX, R11; ADCXQ R9, R9; \
|
||||
ADOXQ R15, R12; ADCXQ R10, R10; \
|
||||
ADOXQ R15, R13; ADCXQ R11, R11; \
|
||||
ADOXQ R15, R14; ADCXQ R12, R12; \
|
||||
;;;;;;;;;;;;;;; ADCXQ R13, R13; \
|
||||
;;;;;;;;;;;;;;; ADCXQ R14, R14; \
|
||||
MOVQ 0+x, DX; MULXQ DX, AX, CX; /* A[0]^2 */ \
|
||||
;;;;;;;;;;;;;;; MOVQ AX, 0+z; \
|
||||
ADDQ CX, R8; MOVQ R8, 8+z; \
|
||||
MOVQ 8+x, DX; MULXQ DX, AX, CX; /* A[1]^2 */ \
|
||||
ADCQ AX, R9; MOVQ R9, 16+z; \
|
||||
ADCQ CX, R10; MOVQ R10, 24+z; \
|
||||
MOVQ 16+x, DX; MULXQ DX, AX, CX; /* A[2]^2 */ \
|
||||
ADCQ AX, R11; MOVQ R11, 32+z; \
|
||||
ADCQ CX, R12; MOVQ R12, 40+z; \
|
||||
MOVQ 24+x, DX; MULXQ DX, AX, CX; /* A[3]^2 */ \
|
||||
ADCQ AX, R13; MOVQ R13, 48+z; \
|
||||
ADCQ CX, R14; MOVQ R14, 56+z;
|
||||
|
||||
// reduceFromDouble finds z congruent to x modulo p such that 0<z<2^256
|
||||
// Uses: AX, DX, R8-R13, FLAGS
|
||||
// Instr: x86_64
|
||||
#define reduceFromDoubleLeg(z,x) \
|
||||
/* 2*C = 38 = 2^256 */ \
|
||||
MOVL $38, AX; MULQ 32+x; MOVQ AX, R8; MOVQ DX, R9; /* C*C[4] */ \
|
||||
MOVL $38, AX; MULQ 40+x; MOVQ AX, R12; MOVQ DX, R10; /* C*C[5] */ \
|
||||
MOVL $38, AX; MULQ 48+x; MOVQ AX, R13; MOVQ DX, R11; /* C*C[6] */ \
|
||||
MOVL $38, AX; MULQ 56+x; /* C*C[7] */ \
|
||||
ADDQ R12, R9; \
|
||||
ADCQ R13, R10; \
|
||||
ADCQ AX, R11; \
|
||||
ADCQ $0, DX; \
|
||||
ADDQ 0+x, R8; \
|
||||
ADCQ 8+x, R9; \
|
||||
ADCQ 16+x, R10; \
|
||||
ADCQ 24+x, R11; \
|
||||
ADCQ $0, DX; \
|
||||
MOVL $38, AX; \
|
||||
IMULQ AX, DX; /* C*C[4], CF=0, OF=0 */ \
|
||||
ADDQ DX, R8; \
|
||||
ADCQ $0, R9; MOVQ R9, 8+z; \
|
||||
ADCQ $0, R10; MOVQ R10, 16+z; \
|
||||
ADCQ $0, R11; MOVQ R11, 24+z; \
|
||||
MOVL $0, DX; \
|
||||
CMOVQCS AX, DX; \
|
||||
ADDQ DX, R8; MOVQ R8, 0+z;
|
||||
|
||||
// reduceFromDoubleAdx finds z congruent to x modulo p such that 0<z<2^256
|
||||
// Uses: AX, DX, R8-R13, FLAGS
|
||||
// Instr: x86_64, bmi2, adx
|
||||
#define reduceFromDoubleAdx(z,x) \
|
||||
MOVL $38, DX; /* 2*C = 38 = 2^256 */ \
|
||||
MULXQ 32+x, R8, R10; /* C*C[4] */ XORL AX, AX; ADOXQ 0+x, R8; \
|
||||
MULXQ 40+x, R9, R11; /* C*C[5] */ ADCXQ R10, R9; ADOXQ 8+x, R9; \
|
||||
MULXQ 48+x, R10, R13; /* C*C[6] */ ADCXQ R11, R10; ADOXQ 16+x, R10; \
|
||||
MULXQ 56+x, R11, R12; /* C*C[7] */ ADCXQ R13, R11; ADOXQ 24+x, R11; \
|
||||
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ADCXQ AX, R12; ADOXQ AX, R12; \
|
||||
IMULQ DX, R12; /* C*C[4], CF=0, OF=0 */ \
|
||||
ADCXQ R12, R8; \
|
||||
ADCXQ AX, R9; MOVQ R9, 8+z; \
|
||||
ADCXQ AX, R10; MOVQ R10, 16+z; \
|
||||
ADCXQ AX, R11; MOVQ R11, 24+z; \
|
||||
MOVL $0, R12; \
|
||||
CMOVQCS DX, R12; \
|
||||
ADDQ R12, R8; MOVQ R8, 0+z;
|
||||
|
||||
// addSub calculates two operations: x,y = x+y,x-y
|
||||
// Uses: AX, DX, R8-R15, FLAGS
|
||||
#define addSub(x,y) \
|
||||
MOVL $38, AX; \
|
||||
XORL DX, DX; \
|
||||
MOVQ 0+x, R8; MOVQ R8, R12; ADDQ 0+y, R8; \
|
||||
MOVQ 8+x, R9; MOVQ R9, R13; ADCQ 8+y, R9; \
|
||||
MOVQ 16+x, R10; MOVQ R10, R14; ADCQ 16+y, R10; \
|
||||
MOVQ 24+x, R11; MOVQ R11, R15; ADCQ 24+y, R11; \
|
||||
CMOVQCS AX, DX; \
|
||||
XORL AX, AX; \
|
||||
ADDQ DX, R8; \
|
||||
ADCQ $0, R9; \
|
||||
ADCQ $0, R10; \
|
||||
ADCQ $0, R11; \
|
||||
MOVL $38, DX; \
|
||||
CMOVQCS DX, AX; \
|
||||
ADDQ AX, R8; \
|
||||
MOVL $38, AX; \
|
||||
SUBQ 0+y, R12; \
|
||||
SBBQ 8+y, R13; \
|
||||
SBBQ 16+y, R14; \
|
||||
SBBQ 24+y, R15; \
|
||||
MOVL $0, DX; \
|
||||
CMOVQCS AX, DX; \
|
||||
SUBQ DX, R12; \
|
||||
SBBQ $0, R13; \
|
||||
SBBQ $0, R14; \
|
||||
SBBQ $0, R15; \
|
||||
MOVL $0, DX; \
|
||||
CMOVQCS AX, DX; \
|
||||
SUBQ DX, R12; \
|
||||
MOVQ R8, 0+x; \
|
||||
MOVQ R9, 8+x; \
|
||||
MOVQ R10, 16+x; \
|
||||
MOVQ R11, 24+x; \
|
||||
MOVQ R12, 0+y; \
|
||||
MOVQ R13, 8+y; \
|
||||
MOVQ R14, 16+y; \
|
||||
MOVQ R15, 24+y;
|
||||
111
vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.s
generated
vendored
111
vendor/github.com/cloudflare/circl/math/fp25519/fp_amd64.s
generated
vendored
@ -1,111 +0,0 @@
|
||||
// +build amd64
|
||||
|
||||
#include "textflag.h"
|
||||
#include "fp_amd64.h"
|
||||
|
||||
// func cmovAmd64(x, y *Elt, n uint)
|
||||
TEXT ·cmovAmd64(SB),NOSPLIT,$0-24
|
||||
MOVQ x+0(FP), DI
|
||||
MOVQ y+8(FP), SI
|
||||
MOVQ n+16(FP), BX
|
||||
cselect(0(DI),0(SI),BX)
|
||||
RET
|
||||
|
||||
// func cswapAmd64(x, y *Elt, n uint)
|
||||
TEXT ·cswapAmd64(SB),NOSPLIT,$0-24
|
||||
MOVQ x+0(FP), DI
|
||||
MOVQ y+8(FP), SI
|
||||
MOVQ n+16(FP), BX
|
||||
cswap(0(DI),0(SI),BX)
|
||||
RET
|
||||
|
||||
// func subAmd64(z, x, y *Elt)
|
||||
TEXT ·subAmd64(SB),NOSPLIT,$0-24
|
||||
MOVQ z+0(FP), DI
|
||||
MOVQ x+8(FP), SI
|
||||
MOVQ y+16(FP), BX
|
||||
subtraction(0(DI),0(SI),0(BX))
|
||||
RET
|
||||
|
||||
// func addsubAmd64(x, y *Elt)
|
||||
TEXT ·addsubAmd64(SB),NOSPLIT,$0-16
|
||||
MOVQ x+0(FP), DI
|
||||
MOVQ y+8(FP), SI
|
||||
addSub(0(DI),0(SI))
|
||||
RET
|
||||
|
||||
#define addLegacy \
|
||||
additionLeg(0(DI),0(SI),0(BX))
|
||||
#define addBmi2Adx \
|
||||
additionAdx(0(DI),0(SI),0(BX))
|
||||
|
||||
#define mulLegacy \
|
||||
integerMulLeg(0(SP),0(SI),0(BX)) \
|
||||
reduceFromDoubleLeg(0(DI),0(SP))
|
||||
#define mulBmi2Adx \
|
||||
integerMulAdx(0(SP),0(SI),0(BX)) \
|
||||
reduceFromDoubleAdx(0(DI),0(SP))
|
||||
|
||||
#define sqrLegacy \
|
||||
integerSqrLeg(0(SP),0(SI)) \
|
||||
reduceFromDoubleLeg(0(DI),0(SP))
|
||||
#define sqrBmi2Adx \
|
||||
integerSqrAdx(0(SP),0(SI)) \
|
||||
reduceFromDoubleAdx(0(DI),0(SP))
|
||||
|
||||
// func addAmd64(z, x, y *Elt)
|
||||
TEXT ·addAmd64(SB),NOSPLIT,$0-24
|
||||
MOVQ z+0(FP), DI
|
||||
MOVQ x+8(FP), SI
|
||||
MOVQ y+16(FP), BX
|
||||
CHECK_BMI2ADX(LADD, addLegacy, addBmi2Adx)
|
||||
|
||||
// func mulAmd64(z, x, y *Elt)
|
||||
TEXT ·mulAmd64(SB),NOSPLIT,$64-24
|
||||
MOVQ z+0(FP), DI
|
||||
MOVQ x+8(FP), SI
|
||||
MOVQ y+16(FP), BX
|
||||
CHECK_BMI2ADX(LMUL, mulLegacy, mulBmi2Adx)
|
||||
|
||||
// func sqrAmd64(z, x *Elt)
|
||||
TEXT ·sqrAmd64(SB),NOSPLIT,$64-16
|
||||
MOVQ z+0(FP), DI
|
||||
MOVQ x+8(FP), SI
|
||||
CHECK_BMI2ADX(LSQR, sqrLegacy, sqrBmi2Adx)
|
||||
|
||||
// func modpAmd64(z *Elt)
|
||||
TEXT ·modpAmd64(SB),NOSPLIT,$0-8
|
||||
MOVQ z+0(FP), DI
|
||||
|
||||
MOVQ (DI), R8
|
||||
MOVQ 8(DI), R9
|
||||
MOVQ 16(DI), R10
|
||||
MOVQ 24(DI), R11
|
||||
|
||||
MOVL $19, AX
|
||||
MOVL $38, CX
|
||||
|
||||
BTRQ $63, R11 // PUT BIT 255 IN CARRY FLAG AND CLEAR
|
||||
CMOVLCC AX, CX // C[255] ? 38 : 19
|
||||
|
||||
// ADD EITHER 19 OR 38 TO C
|
||||
ADDQ CX, R8
|
||||
ADCQ $0, R9
|
||||
ADCQ $0, R10
|
||||
ADCQ $0, R11
|
||||
|
||||
// TEST FOR BIT 255 AGAIN; ONLY TRIGGERED ON OVERFLOW MODULO 2^255-19
|
||||
MOVL $0, CX
|
||||
CMOVLPL AX, CX // C[255] ? 0 : 19
|
||||
BTRQ $63, R11 // CLEAR BIT 255
|
||||
|
||||
// SUBTRACT 19 IF NECESSARY
|
||||
SUBQ CX, R8
|
||||
MOVQ R8, (DI)
|
||||
SBBQ $0, R9
|
||||
MOVQ R9, 8(DI)
|
||||
SBBQ $0, R10
|
||||
MOVQ R10, 16(DI)
|
||||
SBBQ $0, R11
|
||||
MOVQ R11, 24(DI)
|
||||
RET
|
||||
317
vendor/github.com/cloudflare/circl/math/fp25519/fp_generic.go
generated
vendored
317
vendor/github.com/cloudflare/circl/math/fp25519/fp_generic.go
generated
vendored
@ -1,317 +0,0 @@
|
||||
package fp25519
|
||||
|
||||
import (
|
||||
"encoding/binary"
|
||||
"math/bits"
|
||||
)
|
||||
|
||||
func cmovGeneric(x, y *Elt, n uint) {
|
||||
m := -uint64(n & 0x1)
|
||||
x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8])
|
||||
x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8])
|
||||
x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8])
|
||||
x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8])
|
||||
|
||||
y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8])
|
||||
y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8])
|
||||
y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8])
|
||||
y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8])
|
||||
|
||||
x0 = (x0 &^ m) | (y0 & m)
|
||||
x1 = (x1 &^ m) | (y1 & m)
|
||||
x2 = (x2 &^ m) | (y2 & m)
|
||||
x3 = (x3 &^ m) | (y3 & m)
|
||||
|
||||
binary.LittleEndian.PutUint64(x[0*8:1*8], x0)
|
||||
binary.LittleEndian.PutUint64(x[1*8:2*8], x1)
|
||||
binary.LittleEndian.PutUint64(x[2*8:3*8], x2)
|
||||
binary.LittleEndian.PutUint64(x[3*8:4*8], x3)
|
||||
}
|
||||
|
||||
func cswapGeneric(x, y *Elt, n uint) {
|
||||
m := -uint64(n & 0x1)
|
||||
x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8])
|
||||
x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8])
|
||||
x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8])
|
||||
x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8])
|
||||
|
||||
y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8])
|
||||
y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8])
|
||||
y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8])
|
||||
y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8])
|
||||
|
||||
t0 := m & (x0 ^ y0)
|
||||
t1 := m & (x1 ^ y1)
|
||||
t2 := m & (x2 ^ y2)
|
||||
t3 := m & (x3 ^ y3)
|
||||
x0 ^= t0
|
||||
x1 ^= t1
|
||||
x2 ^= t2
|
||||
x3 ^= t3
|
||||
y0 ^= t0
|
||||
y1 ^= t1
|
||||
y2 ^= t2
|
||||
y3 ^= t3
|
||||
|
||||
binary.LittleEndian.PutUint64(x[0*8:1*8], x0)
|
||||
binary.LittleEndian.PutUint64(x[1*8:2*8], x1)
|
||||
binary.LittleEndian.PutUint64(x[2*8:3*8], x2)
|
||||
binary.LittleEndian.PutUint64(x[3*8:4*8], x3)
|
||||
|
||||
binary.LittleEndian.PutUint64(y[0*8:1*8], y0)
|
||||
binary.LittleEndian.PutUint64(y[1*8:2*8], y1)
|
||||
binary.LittleEndian.PutUint64(y[2*8:3*8], y2)
|
||||
binary.LittleEndian.PutUint64(y[3*8:4*8], y3)
|
||||
}
|
||||
|
||||
func addGeneric(z, x, y *Elt) {
|
||||
x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8])
|
||||
x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8])
|
||||
x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8])
|
||||
x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8])
|
||||
|
||||
y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8])
|
||||
y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8])
|
||||
y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8])
|
||||
y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8])
|
||||
|
||||
z0, c0 := bits.Add64(x0, y0, 0)
|
||||
z1, c1 := bits.Add64(x1, y1, c0)
|
||||
z2, c2 := bits.Add64(x2, y2, c1)
|
||||
z3, c3 := bits.Add64(x3, y3, c2)
|
||||
|
||||
z0, c0 = bits.Add64(z0, (-c3)&38, 0)
|
||||
z1, c1 = bits.Add64(z1, 0, c0)
|
||||
z2, c2 = bits.Add64(z2, 0, c1)
|
||||
z3, c3 = bits.Add64(z3, 0, c2)
|
||||
z0, _ = bits.Add64(z0, (-c3)&38, 0)
|
||||
|
||||
binary.LittleEndian.PutUint64(z[0*8:1*8], z0)
|
||||
binary.LittleEndian.PutUint64(z[1*8:2*8], z1)
|
||||
binary.LittleEndian.PutUint64(z[2*8:3*8], z2)
|
||||
binary.LittleEndian.PutUint64(z[3*8:4*8], z3)
|
||||
}
|
||||
|
||||
func subGeneric(z, x, y *Elt) {
|
||||
x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8])
|
||||
x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8])
|
||||
x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8])
|
||||
x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8])
|
||||
|
||||
y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8])
|
||||
y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8])
|
||||
y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8])
|
||||
y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8])
|
||||
|
||||
z0, c0 := bits.Sub64(x0, y0, 0)
|
||||
z1, c1 := bits.Sub64(x1, y1, c0)
|
||||
z2, c2 := bits.Sub64(x2, y2, c1)
|
||||
z3, c3 := bits.Sub64(x3, y3, c2)
|
||||
|
||||
z0, c0 = bits.Sub64(z0, (-c3)&38, 0)
|
||||
z1, c1 = bits.Sub64(z1, 0, c0)
|
||||
z2, c2 = bits.Sub64(z2, 0, c1)
|
||||
z3, c3 = bits.Sub64(z3, 0, c2)
|
||||
z0, _ = bits.Sub64(z0, (-c3)&38, 0)
|
||||
|
||||
binary.LittleEndian.PutUint64(z[0*8:1*8], z0)
|
||||
binary.LittleEndian.PutUint64(z[1*8:2*8], z1)
|
||||
binary.LittleEndian.PutUint64(z[2*8:3*8], z2)
|
||||
binary.LittleEndian.PutUint64(z[3*8:4*8], z3)
|
||||
}
|
||||
|
||||
func addsubGeneric(x, y *Elt) {
|
||||
z := &Elt{}
|
||||
addGeneric(z, x, y)
|
||||
subGeneric(y, x, y)
|
||||
*x = *z
|
||||
}
|
||||
|
||||
func mulGeneric(z, x, y *Elt) {
|
||||
x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8])
|
||||
x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8])
|
||||
x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8])
|
||||
x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8])
|
||||
|
||||
y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8])
|
||||
y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8])
|
||||
y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8])
|
||||
y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8])
|
||||
|
||||
yi := y0
|
||||
h0, l0 := bits.Mul64(x0, yi)
|
||||
h1, l1 := bits.Mul64(x1, yi)
|
||||
h2, l2 := bits.Mul64(x2, yi)
|
||||
h3, l3 := bits.Mul64(x3, yi)
|
||||
|
||||
z0 := l0
|
||||
a0, c0 := bits.Add64(h0, l1, 0)
|
||||
a1, c1 := bits.Add64(h1, l2, c0)
|
||||
a2, c2 := bits.Add64(h2, l3, c1)
|
||||
a3, _ := bits.Add64(h3, 0, c2)
|
||||
|
||||
yi = y1
|
||||
h0, l0 = bits.Mul64(x0, yi)
|
||||
h1, l1 = bits.Mul64(x1, yi)
|
||||
h2, l2 = bits.Mul64(x2, yi)
|
||||
h3, l3 = bits.Mul64(x3, yi)
|
||||
|
||||
z1, c0 := bits.Add64(a0, l0, 0)
|
||||
h0, c1 = bits.Add64(h0, l1, c0)
|
||||
h1, c2 = bits.Add64(h1, l2, c1)
|
||||
h2, c3 := bits.Add64(h2, l3, c2)
|
||||
h3, _ = bits.Add64(h3, 0, c3)
|
||||
|
||||
a0, c0 = bits.Add64(a1, h0, 0)
|
||||
a1, c1 = bits.Add64(a2, h1, c0)
|
||||
a2, c2 = bits.Add64(a3, h2, c1)
|
||||
a3, _ = bits.Add64(0, h3, c2)
|
||||
|
||||
yi = y2
|
||||
h0, l0 = bits.Mul64(x0, yi)
|
||||
h1, l1 = bits.Mul64(x1, yi)
|
||||
h2, l2 = bits.Mul64(x2, yi)
|
||||
h3, l3 = bits.Mul64(x3, yi)
|
||||
|
||||
z2, c0 := bits.Add64(a0, l0, 0)
|
||||
h0, c1 = bits.Add64(h0, l1, c0)
|
||||
h1, c2 = bits.Add64(h1, l2, c1)
|
||||
h2, c3 = bits.Add64(h2, l3, c2)
|
||||
h3, _ = bits.Add64(h3, 0, c3)
|
||||
|
||||
a0, c0 = bits.Add64(a1, h0, 0)
|
||||
a1, c1 = bits.Add64(a2, h1, c0)
|
||||
a2, c2 = bits.Add64(a3, h2, c1)
|
||||
a3, _ = bits.Add64(0, h3, c2)
|
||||
|
||||
yi = y3
|
||||
h0, l0 = bits.Mul64(x0, yi)
|
||||
h1, l1 = bits.Mul64(x1, yi)
|
||||
h2, l2 = bits.Mul64(x2, yi)
|
||||
h3, l3 = bits.Mul64(x3, yi)
|
||||
|
||||
z3, c0 := bits.Add64(a0, l0, 0)
|
||||
h0, c1 = bits.Add64(h0, l1, c0)
|
||||
h1, c2 = bits.Add64(h1, l2, c1)
|
||||
h2, c3 = bits.Add64(h2, l3, c2)
|
||||
h3, _ = bits.Add64(h3, 0, c3)
|
||||
|
||||
z4, c0 := bits.Add64(a1, h0, 0)
|
||||
z5, c1 := bits.Add64(a2, h1, c0)
|
||||
z6, c2 := bits.Add64(a3, h2, c1)
|
||||
z7, _ := bits.Add64(0, h3, c2)
|
||||
|
||||
red64(z, z0, z1, z2, z3, z4, z5, z6, z7)
|
||||
}
|
||||
|
||||
func sqrGeneric(z, x *Elt) {
|
||||
x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8])
|
||||
x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8])
|
||||
x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8])
|
||||
x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8])
|
||||
|
||||
h0, a0 := bits.Mul64(x0, x1)
|
||||
h1, l1 := bits.Mul64(x0, x2)
|
||||
h2, l2 := bits.Mul64(x0, x3)
|
||||
h3, l3 := bits.Mul64(x3, x1)
|
||||
h4, l4 := bits.Mul64(x3, x2)
|
||||
h, l := bits.Mul64(x1, x2)
|
||||
|
||||
a1, c0 := bits.Add64(l1, h0, 0)
|
||||
a2, c1 := bits.Add64(l2, h1, c0)
|
||||
a3, c2 := bits.Add64(l3, h2, c1)
|
||||
a4, c3 := bits.Add64(l4, h3, c2)
|
||||
a5, _ := bits.Add64(h4, 0, c3)
|
||||
|
||||
a2, c0 = bits.Add64(a2, l, 0)
|
||||
a3, c1 = bits.Add64(a3, h, c0)
|
||||
a4, c2 = bits.Add64(a4, 0, c1)
|
||||
a5, c3 = bits.Add64(a5, 0, c2)
|
||||
a6, _ := bits.Add64(0, 0, c3)
|
||||
|
||||
a0, c0 = bits.Add64(a0, a0, 0)
|
||||
a1, c1 = bits.Add64(a1, a1, c0)
|
||||
a2, c2 = bits.Add64(a2, a2, c1)
|
||||
a3, c3 = bits.Add64(a3, a3, c2)
|
||||
a4, c4 := bits.Add64(a4, a4, c3)
|
||||
a5, c5 := bits.Add64(a5, a5, c4)
|
||||
a6, _ = bits.Add64(a6, a6, c5)
|
||||
|
||||
b1, b0 := bits.Mul64(x0, x0)
|
||||
b3, b2 := bits.Mul64(x1, x1)
|
||||
b5, b4 := bits.Mul64(x2, x2)
|
||||
b7, b6 := bits.Mul64(x3, x3)
|
||||
|
||||
b1, c0 = bits.Add64(b1, a0, 0)
|
||||
b2, c1 = bits.Add64(b2, a1, c0)
|
||||
b3, c2 = bits.Add64(b3, a2, c1)
|
||||
b4, c3 = bits.Add64(b4, a3, c2)
|
||||
b5, c4 = bits.Add64(b5, a4, c3)
|
||||
b6, c5 = bits.Add64(b6, a5, c4)
|
||||
b7, _ = bits.Add64(b7, a6, c5)
|
||||
|
||||
red64(z, b0, b1, b2, b3, b4, b5, b6, b7)
|
||||
}
|
||||
|
||||
func modpGeneric(x *Elt) {
|
||||
x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8])
|
||||
x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8])
|
||||
x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8])
|
||||
x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8])
|
||||
|
||||
// CX = C[255] ? 38 : 19
|
||||
cx := uint64(19) << (x3 >> 63)
|
||||
// PUT BIT 255 IN CARRY FLAG AND CLEAR
|
||||
x3 &^= 1 << 63
|
||||
|
||||
x0, c0 := bits.Add64(x0, cx, 0)
|
||||
x1, c1 := bits.Add64(x1, 0, c0)
|
||||
x2, c2 := bits.Add64(x2, 0, c1)
|
||||
x3, _ = bits.Add64(x3, 0, c2)
|
||||
|
||||
// TEST FOR BIT 255 AGAIN; ONLY TRIGGERED ON OVERFLOW MODULO 2^255-19
|
||||
// cx = C[255] ? 0 : 19
|
||||
cx = uint64(19) &^ (-(x3 >> 63))
|
||||
// CLEAR BIT 255
|
||||
x3 &^= 1 << 63
|
||||
|
||||
x0, c0 = bits.Sub64(x0, cx, 0)
|
||||
x1, c1 = bits.Sub64(x1, 0, c0)
|
||||
x2, c2 = bits.Sub64(x2, 0, c1)
|
||||
x3, _ = bits.Sub64(x3, 0, c2)
|
||||
|
||||
binary.LittleEndian.PutUint64(x[0*8:1*8], x0)
|
||||
binary.LittleEndian.PutUint64(x[1*8:2*8], x1)
|
||||
binary.LittleEndian.PutUint64(x[2*8:3*8], x2)
|
||||
binary.LittleEndian.PutUint64(x[3*8:4*8], x3)
|
||||
}
|
||||
|
||||
func red64(z *Elt, x0, x1, x2, x3, x4, x5, x6, x7 uint64) {
|
||||
h0, l0 := bits.Mul64(x4, 38)
|
||||
h1, l1 := bits.Mul64(x5, 38)
|
||||
h2, l2 := bits.Mul64(x6, 38)
|
||||
h3, l3 := bits.Mul64(x7, 38)
|
||||
|
||||
l1, c0 := bits.Add64(h0, l1, 0)
|
||||
l2, c1 := bits.Add64(h1, l2, c0)
|
||||
l3, c2 := bits.Add64(h2, l3, c1)
|
||||
l4, _ := bits.Add64(h3, 0, c2)
|
||||
|
||||
l0, c0 = bits.Add64(l0, x0, 0)
|
||||
l1, c1 = bits.Add64(l1, x1, c0)
|
||||
l2, c2 = bits.Add64(l2, x2, c1)
|
||||
l3, c3 := bits.Add64(l3, x3, c2)
|
||||
l4, _ = bits.Add64(l4, 0, c3)
|
||||
|
||||
_, l4 = bits.Mul64(l4, 38)
|
||||
l0, c0 = bits.Add64(l0, l4, 0)
|
||||
z1, c1 := bits.Add64(l1, 0, c0)
|
||||
z2, c2 := bits.Add64(l2, 0, c1)
|
||||
z3, c3 := bits.Add64(l3, 0, c2)
|
||||
z0, _ := bits.Add64(l0, (-c3)&38, 0)
|
||||
|
||||
binary.LittleEndian.PutUint64(z[0*8:1*8], z0)
|
||||
binary.LittleEndian.PutUint64(z[1*8:2*8], z1)
|
||||
binary.LittleEndian.PutUint64(z[2*8:3*8], z2)
|
||||
binary.LittleEndian.PutUint64(z[3*8:4*8], z3)
|
||||
}
|
||||
13
vendor/github.com/cloudflare/circl/math/fp25519/fp_noasm.go
generated
vendored
13
vendor/github.com/cloudflare/circl/math/fp25519/fp_noasm.go
generated
vendored
@ -1,13 +0,0 @@
|
||||
//go:build !amd64 || purego
|
||||
// +build !amd64 purego
|
||||
|
||||
package fp25519
|
||||
|
||||
func cmov(x, y *Elt, n uint) { cmovGeneric(x, y, n) }
|
||||
func cswap(x, y *Elt, n uint) { cswapGeneric(x, y, n) }
|
||||
func add(z, x, y *Elt) { addGeneric(z, x, y) }
|
||||
func sub(z, x, y *Elt) { subGeneric(z, x, y) }
|
||||
func addsub(x, y *Elt) { addsubGeneric(x, y) }
|
||||
func mul(z, x, y *Elt) { mulGeneric(z, x, y) }
|
||||
func sqr(z, x *Elt) { sqrGeneric(z, x) }
|
||||
func modp(z *Elt) { modpGeneric(z) }
|
||||
164
vendor/github.com/cloudflare/circl/math/fp448/fp.go
generated
vendored
164
vendor/github.com/cloudflare/circl/math/fp448/fp.go
generated
vendored
@ -1,164 +0,0 @@
|
||||
// Package fp448 provides prime field arithmetic over GF(2^448-2^224-1).
|
||||
package fp448
|
||||
|
||||
import (
|
||||
"errors"
|
||||
|
||||
"github.com/cloudflare/circl/internal/conv"
|
||||
)
|
||||
|
||||
// Size in bytes of an element.
|
||||
const Size = 56
|
||||
|
||||
// Elt is a prime field element.
|
||||
type Elt [Size]byte
|
||||
|
||||
func (e Elt) String() string { return conv.BytesLe2Hex(e[:]) }
|
||||
|
||||
// p is the prime modulus 2^448-2^224-1.
|
||||
var p = Elt{
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
}
|
||||
|
||||
// P returns the prime modulus 2^448-2^224-1.
|
||||
func P() Elt { return p }
|
||||
|
||||
// ToBytes stores in b the little-endian byte representation of x.
|
||||
func ToBytes(b []byte, x *Elt) error {
|
||||
if len(b) != Size {
|
||||
return errors.New("wrong size")
|
||||
}
|
||||
Modp(x)
|
||||
copy(b, x[:])
|
||||
return nil
|
||||
}
|
||||
|
||||
// IsZero returns true if x is equal to 0.
|
||||
func IsZero(x *Elt) bool { Modp(x); return *x == Elt{} }
|
||||
|
||||
// IsOne returns true if x is equal to 1.
|
||||
func IsOne(x *Elt) bool { Modp(x); return *x == Elt{1} }
|
||||
|
||||
// SetOne assigns x=1.
|
||||
func SetOne(x *Elt) { *x = Elt{1} }
|
||||
|
||||
// One returns the 1 element.
|
||||
func One() (x Elt) { x = Elt{1}; return }
|
||||
|
||||
// Neg calculates z = -x.
|
||||
func Neg(z, x *Elt) { Sub(z, &p, x) }
|
||||
|
||||
// Modp ensures that z is between [0,p-1].
|
||||
func Modp(z *Elt) { Sub(z, z, &p) }
|
||||
|
||||
// InvSqrt calculates z = sqrt(x/y) iff x/y is a quadratic-residue. If so,
|
||||
// isQR = true; otherwise, isQR = false, since x/y is a quadratic non-residue,
|
||||
// and z = sqrt(-x/y).
|
||||
func InvSqrt(z, x, y *Elt) (isQR bool) {
|
||||
// First note that x^(2(k+1)) = x^(p-1)/2 * x = legendre(x) * x
|
||||
// so that's x if x is a quadratic residue and -x otherwise.
|
||||
// Next, y^(6k+3) = y^(4k+2) * y^(2k+1) = y^(p-1) * y^((p-1)/2) = legendre(y).
|
||||
// So the z we compute satisfies z^2 y = x^(2(k+1)) y^(6k+3) = legendre(x)*legendre(y).
|
||||
// Thus if x and y are quadratic residues, then z is indeed sqrt(x/y).
|
||||
t0, t1 := &Elt{}, &Elt{}
|
||||
Mul(t0, x, y) // x*y
|
||||
Sqr(t1, y) // y^2
|
||||
Mul(t1, t0, t1) // x*y^3
|
||||
powPminus3div4(z, t1) // (x*y^3)^k
|
||||
Mul(z, z, t0) // z = x*y*(x*y^3)^k = x^(k+1) * y^(3k+1)
|
||||
|
||||
// Check if x/y is a quadratic residue
|
||||
Sqr(t0, z) // z^2
|
||||
Mul(t0, t0, y) // y*z^2
|
||||
Sub(t0, t0, x) // y*z^2-x
|
||||
return IsZero(t0)
|
||||
}
|
||||
|
||||
// Inv calculates z = 1/x mod p.
|
||||
func Inv(z, x *Elt) {
|
||||
// Calculates z = x^(4k+1) = x^(p-3+1) = x^(p-2) = x^-1, where k = (p-3)/4.
|
||||
t := &Elt{}
|
||||
powPminus3div4(t, x) // t = x^k
|
||||
Sqr(t, t) // t = x^2k
|
||||
Sqr(t, t) // t = x^4k
|
||||
Mul(z, t, x) // z = x^(4k+1)
|
||||
}
|
||||
|
||||
// powPminus3div4 calculates z = x^k mod p, where k = (p-3)/4.
|
||||
func powPminus3div4(z, x *Elt) {
|
||||
x0, x1 := &Elt{}, &Elt{}
|
||||
Sqr(z, x)
|
||||
Mul(z, z, x)
|
||||
Sqr(x0, z)
|
||||
Mul(x0, x0, x)
|
||||
Sqr(z, x0)
|
||||
Sqr(z, z)
|
||||
Sqr(z, z)
|
||||
Mul(z, z, x0)
|
||||
Sqr(x1, z)
|
||||
for i := 0; i < 5; i++ {
|
||||
Sqr(x1, x1)
|
||||
}
|
||||
Mul(x1, x1, z)
|
||||
Sqr(z, x1)
|
||||
for i := 0; i < 11; i++ {
|
||||
Sqr(z, z)
|
||||
}
|
||||
Mul(z, z, x1)
|
||||
Sqr(z, z)
|
||||
Sqr(z, z)
|
||||
Sqr(z, z)
|
||||
Mul(z, z, x0)
|
||||
Sqr(x1, z)
|
||||
for i := 0; i < 26; i++ {
|
||||
Sqr(x1, x1)
|
||||
}
|
||||
Mul(x1, x1, z)
|
||||
Sqr(z, x1)
|
||||
for i := 0; i < 53; i++ {
|
||||
Sqr(z, z)
|
||||
}
|
||||
Mul(z, z, x1)
|
||||
Sqr(z, z)
|
||||
Sqr(z, z)
|
||||
Sqr(z, z)
|
||||
Mul(z, z, x0)
|
||||
Sqr(x1, z)
|
||||
for i := 0; i < 110; i++ {
|
||||
Sqr(x1, x1)
|
||||
}
|
||||
Mul(x1, x1, z)
|
||||
Sqr(z, x1)
|
||||
Mul(z, z, x)
|
||||
for i := 0; i < 223; i++ {
|
||||
Sqr(z, z)
|
||||
}
|
||||
Mul(z, z, x1)
|
||||
}
|
||||
|
||||
// Cmov assigns y to x if n is 1.
|
||||
func Cmov(x, y *Elt, n uint) { cmov(x, y, n) }
|
||||
|
||||
// Cswap interchanges x and y if n is 1.
|
||||
func Cswap(x, y *Elt, n uint) { cswap(x, y, n) }
|
||||
|
||||
// Add calculates z = x+y mod p.
|
||||
func Add(z, x, y *Elt) { add(z, x, y) }
|
||||
|
||||
// Sub calculates z = x-y mod p.
|
||||
func Sub(z, x, y *Elt) { sub(z, x, y) }
|
||||
|
||||
// AddSub calculates (x,y) = (x+y mod p, x-y mod p).
|
||||
func AddSub(x, y *Elt) { addsub(x, y) }
|
||||
|
||||
// Mul calculates z = x*y mod p.
|
||||
func Mul(z, x, y *Elt) { mul(z, x, y) }
|
||||
|
||||
// Sqr calculates z = x^2 mod p.
|
||||
func Sqr(z, x *Elt) { sqr(z, x) }
|
||||
43
vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.go
generated
vendored
43
vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.go
generated
vendored
@ -1,43 +0,0 @@
|
||||
//go:build amd64 && !purego
|
||||
// +build amd64,!purego
|
||||
|
||||
package fp448
|
||||
|
||||
import (
|
||||
"golang.org/x/sys/cpu"
|
||||
)
|
||||
|
||||
var hasBmi2Adx = cpu.X86.HasBMI2 && cpu.X86.HasADX
|
||||
|
||||
var _ = hasBmi2Adx
|
||||
|
||||
func cmov(x, y *Elt, n uint) { cmovAmd64(x, y, n) }
|
||||
func cswap(x, y *Elt, n uint) { cswapAmd64(x, y, n) }
|
||||
func add(z, x, y *Elt) { addAmd64(z, x, y) }
|
||||
func sub(z, x, y *Elt) { subAmd64(z, x, y) }
|
||||
func addsub(x, y *Elt) { addsubAmd64(x, y) }
|
||||
func mul(z, x, y *Elt) { mulAmd64(z, x, y) }
|
||||
func sqr(z, x *Elt) { sqrAmd64(z, x) }
|
||||
|
||||
/* Functions defined in fp_amd64.s */
|
||||
|
||||
//go:noescape
|
||||
func cmovAmd64(x, y *Elt, n uint)
|
||||
|
||||
//go:noescape
|
||||
func cswapAmd64(x, y *Elt, n uint)
|
||||
|
||||
//go:noescape
|
||||
func addAmd64(z, x, y *Elt)
|
||||
|
||||
//go:noescape
|
||||
func subAmd64(z, x, y *Elt)
|
||||
|
||||
//go:noescape
|
||||
func addsubAmd64(x, y *Elt)
|
||||
|
||||
//go:noescape
|
||||
func mulAmd64(z, x, y *Elt)
|
||||
|
||||
//go:noescape
|
||||
func sqrAmd64(z, x *Elt)
|
||||
591
vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.h
generated
vendored
591
vendor/github.com/cloudflare/circl/math/fp448/fp_amd64.h
generated
vendored
@ -1,591 +0,0 @@
|
||||
// This code was imported from https://github.com/armfazh/rfc7748_precomputed
|
||||
|
||||
// CHECK_BMI2ADX triggers bmi2adx if supported,
|
||||
// otherwise it fallbacks to legacy code.
|
||||
#define CHECK_BMI2ADX(label, legacy, bmi2adx) \
|
||||
CMPB ·hasBmi2Adx(SB), $0 \
|
||||
JE label \
|
||||
bmi2adx \
|
||||
RET \
|
||||
label: \
|
||||
legacy \
|
||||
RET
|
||||
|
||||
// cselect is a conditional move
|
||||
// if b=1: it copies y into x;
|
||||
// if b=0: x remains with the same value;
|
||||
// if b<> 0,1: undefined.
|
||||
// Uses: AX, DX, FLAGS
|
||||
// Instr: x86_64, cmov
|
||||
#define cselect(x,y,b) \
|
||||
TESTQ b, b \
|
||||
MOVQ 0+x, AX; MOVQ 0+y, DX; CMOVQNE DX, AX; MOVQ AX, 0+x; \
|
||||
MOVQ 8+x, AX; MOVQ 8+y, DX; CMOVQNE DX, AX; MOVQ AX, 8+x; \
|
||||
MOVQ 16+x, AX; MOVQ 16+y, DX; CMOVQNE DX, AX; MOVQ AX, 16+x; \
|
||||
MOVQ 24+x, AX; MOVQ 24+y, DX; CMOVQNE DX, AX; MOVQ AX, 24+x; \
|
||||
MOVQ 32+x, AX; MOVQ 32+y, DX; CMOVQNE DX, AX; MOVQ AX, 32+x; \
|
||||
MOVQ 40+x, AX; MOVQ 40+y, DX; CMOVQNE DX, AX; MOVQ AX, 40+x; \
|
||||
MOVQ 48+x, AX; MOVQ 48+y, DX; CMOVQNE DX, AX; MOVQ AX, 48+x;
|
||||
|
||||
// cswap is a conditional swap
|
||||
// if b=1: x,y <- y,x;
|
||||
// if b=0: x,y remain with the same values;
|
||||
// if b<> 0,1: undefined.
|
||||
// Uses: AX, DX, R8, FLAGS
|
||||
// Instr: x86_64, cmov
|
||||
#define cswap(x,y,b) \
|
||||
TESTQ b, b \
|
||||
MOVQ 0+x, AX; MOVQ AX, R8; MOVQ 0+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 0+x; MOVQ DX, 0+y; \
|
||||
MOVQ 8+x, AX; MOVQ AX, R8; MOVQ 8+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 8+x; MOVQ DX, 8+y; \
|
||||
MOVQ 16+x, AX; MOVQ AX, R8; MOVQ 16+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 16+x; MOVQ DX, 16+y; \
|
||||
MOVQ 24+x, AX; MOVQ AX, R8; MOVQ 24+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 24+x; MOVQ DX, 24+y; \
|
||||
MOVQ 32+x, AX; MOVQ AX, R8; MOVQ 32+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 32+x; MOVQ DX, 32+y; \
|
||||
MOVQ 40+x, AX; MOVQ AX, R8; MOVQ 40+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 40+x; MOVQ DX, 40+y; \
|
||||
MOVQ 48+x, AX; MOVQ AX, R8; MOVQ 48+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 48+x; MOVQ DX, 48+y;
|
||||
|
||||
// additionLeg adds x and y and stores in z
|
||||
// Uses: AX, DX, R8-R14, FLAGS
|
||||
// Instr: x86_64
|
||||
#define additionLeg(z,x,y) \
|
||||
MOVQ 0+x, R8; ADDQ 0+y, R8; \
|
||||
MOVQ 8+x, R9; ADCQ 8+y, R9; \
|
||||
MOVQ 16+x, R10; ADCQ 16+y, R10; \
|
||||
MOVQ 24+x, R11; ADCQ 24+y, R11; \
|
||||
MOVQ 32+x, R12; ADCQ 32+y, R12; \
|
||||
MOVQ 40+x, R13; ADCQ 40+y, R13; \
|
||||
MOVQ 48+x, R14; ADCQ 48+y, R14; \
|
||||
MOVQ $0, AX; ADCQ $0, AX; \
|
||||
MOVQ AX, DX; \
|
||||
SHLQ $32, DX; \
|
||||
ADDQ AX, R8; MOVQ $0, AX; \
|
||||
ADCQ $0, R9; \
|
||||
ADCQ $0, R10; \
|
||||
ADCQ DX, R11; \
|
||||
ADCQ $0, R12; \
|
||||
ADCQ $0, R13; \
|
||||
ADCQ $0, R14; \
|
||||
ADCQ $0, AX; \
|
||||
MOVQ AX, DX; \
|
||||
SHLQ $32, DX; \
|
||||
ADDQ AX, R8; MOVQ R8, 0+z; \
|
||||
ADCQ $0, R9; MOVQ R9, 8+z; \
|
||||
ADCQ $0, R10; MOVQ R10, 16+z; \
|
||||
ADCQ DX, R11; MOVQ R11, 24+z; \
|
||||
ADCQ $0, R12; MOVQ R12, 32+z; \
|
||||
ADCQ $0, R13; MOVQ R13, 40+z; \
|
||||
ADCQ $0, R14; MOVQ R14, 48+z;
|
||||
|
||||
|
||||
// additionAdx adds x and y and stores in z
|
||||
// Uses: AX, DX, R8-R15, FLAGS
|
||||
// Instr: x86_64, adx
|
||||
#define additionAdx(z,x,y) \
|
||||
MOVL $32, R15; \
|
||||
XORL DX, DX; \
|
||||
MOVQ 0+x, R8; ADCXQ 0+y, R8; \
|
||||
MOVQ 8+x, R9; ADCXQ 8+y, R9; \
|
||||
MOVQ 16+x, R10; ADCXQ 16+y, R10; \
|
||||
MOVQ 24+x, R11; ADCXQ 24+y, R11; \
|
||||
MOVQ 32+x, R12; ADCXQ 32+y, R12; \
|
||||
MOVQ 40+x, R13; ADCXQ 40+y, R13; \
|
||||
MOVQ 48+x, R14; ADCXQ 48+y, R14; \
|
||||
;;;;;;;;;;;;;;; ADCXQ DX, DX; \
|
||||
XORL AX, AX; \
|
||||
ADCXQ DX, R8; SHLXQ R15, DX, DX; \
|
||||
ADCXQ AX, R9; \
|
||||
ADCXQ AX, R10; \
|
||||
ADCXQ DX, R11; \
|
||||
ADCXQ AX, R12; \
|
||||
ADCXQ AX, R13; \
|
||||
ADCXQ AX, R14; \
|
||||
ADCXQ AX, AX; \
|
||||
XORL DX, DX; \
|
||||
ADCXQ AX, R8; MOVQ R8, 0+z; SHLXQ R15, AX, AX; \
|
||||
ADCXQ DX, R9; MOVQ R9, 8+z; \
|
||||
ADCXQ DX, R10; MOVQ R10, 16+z; \
|
||||
ADCXQ AX, R11; MOVQ R11, 24+z; \
|
||||
ADCXQ DX, R12; MOVQ R12, 32+z; \
|
||||
ADCXQ DX, R13; MOVQ R13, 40+z; \
|
||||
ADCXQ DX, R14; MOVQ R14, 48+z;
|
||||
|
||||
// subtraction subtracts y from x and stores in z
|
||||
// Uses: AX, DX, R8-R14, FLAGS
|
||||
// Instr: x86_64
|
||||
#define subtraction(z,x,y) \
|
||||
MOVQ 0+x, R8; SUBQ 0+y, R8; \
|
||||
MOVQ 8+x, R9; SBBQ 8+y, R9; \
|
||||
MOVQ 16+x, R10; SBBQ 16+y, R10; \
|
||||
MOVQ 24+x, R11; SBBQ 24+y, R11; \
|
||||
MOVQ 32+x, R12; SBBQ 32+y, R12; \
|
||||
MOVQ 40+x, R13; SBBQ 40+y, R13; \
|
||||
MOVQ 48+x, R14; SBBQ 48+y, R14; \
|
||||
MOVQ $0, AX; SETCS AX; \
|
||||
MOVQ AX, DX; \
|
||||
SHLQ $32, DX; \
|
||||
SUBQ AX, R8; MOVQ $0, AX; \
|
||||
SBBQ $0, R9; \
|
||||
SBBQ $0, R10; \
|
||||
SBBQ DX, R11; \
|
||||
SBBQ $0, R12; \
|
||||
SBBQ $0, R13; \
|
||||
SBBQ $0, R14; \
|
||||
SETCS AX; \
|
||||
MOVQ AX, DX; \
|
||||
SHLQ $32, DX; \
|
||||
SUBQ AX, R8; MOVQ R8, 0+z; \
|
||||
SBBQ $0, R9; MOVQ R9, 8+z; \
|
||||
SBBQ $0, R10; MOVQ R10, 16+z; \
|
||||
SBBQ DX, R11; MOVQ R11, 24+z; \
|
||||
SBBQ $0, R12; MOVQ R12, 32+z; \
|
||||
SBBQ $0, R13; MOVQ R13, 40+z; \
|
||||
SBBQ $0, R14; MOVQ R14, 48+z;
|
||||
|
||||
// maddBmi2Adx multiplies x and y and accumulates in z
|
||||
// Uses: AX, DX, R15, FLAGS
|
||||
// Instr: x86_64, bmi2, adx
|
||||
#define maddBmi2Adx(z,x,y,i,r0,r1,r2,r3,r4,r5,r6) \
|
||||
MOVQ i+y, DX; XORL AX, AX; \
|
||||
MULXQ 0+x, AX, R8; ADOXQ AX, r0; ADCXQ R8, r1; MOVQ r0,i+z; \
|
||||
MULXQ 8+x, AX, r0; ADOXQ AX, r1; ADCXQ r0, r2; MOVQ $0, R8; \
|
||||
MULXQ 16+x, AX, r0; ADOXQ AX, r2; ADCXQ r0, r3; \
|
||||
MULXQ 24+x, AX, r0; ADOXQ AX, r3; ADCXQ r0, r4; \
|
||||
MULXQ 32+x, AX, r0; ADOXQ AX, r4; ADCXQ r0, r5; \
|
||||
MULXQ 40+x, AX, r0; ADOXQ AX, r5; ADCXQ r0, r6; \
|
||||
MULXQ 48+x, AX, r0; ADOXQ AX, r6; ADCXQ R8, r0; \
|
||||
;;;;;;;;;;;;;;;;;;; ADOXQ R8, r0;
|
||||
|
||||
// integerMulAdx multiplies x and y and stores in z
|
||||
// Uses: AX, DX, R8-R15, FLAGS
|
||||
// Instr: x86_64, bmi2, adx
|
||||
#define integerMulAdx(z,x,y) \
|
||||
MOVL $0,R15; \
|
||||
MOVQ 0+y, DX; XORL AX, AX; MOVQ $0, R8; \
|
||||
MULXQ 0+x, AX, R9; MOVQ AX, 0+z; \
|
||||
MULXQ 8+x, AX, R10; ADCXQ AX, R9; \
|
||||
MULXQ 16+x, AX, R11; ADCXQ AX, R10; \
|
||||
MULXQ 24+x, AX, R12; ADCXQ AX, R11; \
|
||||
MULXQ 32+x, AX, R13; ADCXQ AX, R12; \
|
||||
MULXQ 40+x, AX, R14; ADCXQ AX, R13; \
|
||||
MULXQ 48+x, AX, R15; ADCXQ AX, R14; \
|
||||
;;;;;;;;;;;;;;;;;;;; ADCXQ R8, R15; \
|
||||
maddBmi2Adx(z,x,y, 8, R9,R10,R11,R12,R13,R14,R15) \
|
||||
maddBmi2Adx(z,x,y,16,R10,R11,R12,R13,R14,R15, R9) \
|
||||
maddBmi2Adx(z,x,y,24,R11,R12,R13,R14,R15, R9,R10) \
|
||||
maddBmi2Adx(z,x,y,32,R12,R13,R14,R15, R9,R10,R11) \
|
||||
maddBmi2Adx(z,x,y,40,R13,R14,R15, R9,R10,R11,R12) \
|
||||
maddBmi2Adx(z,x,y,48,R14,R15, R9,R10,R11,R12,R13) \
|
||||
MOVQ R15, 56+z; \
|
||||
MOVQ R9, 64+z; \
|
||||
MOVQ R10, 72+z; \
|
||||
MOVQ R11, 80+z; \
|
||||
MOVQ R12, 88+z; \
|
||||
MOVQ R13, 96+z; \
|
||||
MOVQ R14, 104+z;
|
||||
|
||||
// maddLegacy multiplies x and y and accumulates in z
|
||||
// Uses: AX, DX, R15, FLAGS
|
||||
// Instr: x86_64
|
||||
#define maddLegacy(z,x,y,i) \
|
||||
MOVQ i+y, R15; \
|
||||
MOVQ 0+x, AX; MULQ R15; MOVQ AX, R8; ;;;;;;;;;;;; MOVQ DX, R9; \
|
||||
MOVQ 8+x, AX; MULQ R15; ADDQ AX, R9; ADCQ $0, DX; MOVQ DX, R10; \
|
||||
MOVQ 16+x, AX; MULQ R15; ADDQ AX, R10; ADCQ $0, DX; MOVQ DX, R11; \
|
||||
MOVQ 24+x, AX; MULQ R15; ADDQ AX, R11; ADCQ $0, DX; MOVQ DX, R12; \
|
||||
MOVQ 32+x, AX; MULQ R15; ADDQ AX, R12; ADCQ $0, DX; MOVQ DX, R13; \
|
||||
MOVQ 40+x, AX; MULQ R15; ADDQ AX, R13; ADCQ $0, DX; MOVQ DX, R14; \
|
||||
MOVQ 48+x, AX; MULQ R15; ADDQ AX, R14; ADCQ $0, DX; \
|
||||
ADDQ 0+i+z, R8; MOVQ R8, 0+i+z; \
|
||||
ADCQ 8+i+z, R9; MOVQ R9, 8+i+z; \
|
||||
ADCQ 16+i+z, R10; MOVQ R10, 16+i+z; \
|
||||
ADCQ 24+i+z, R11; MOVQ R11, 24+i+z; \
|
||||
ADCQ 32+i+z, R12; MOVQ R12, 32+i+z; \
|
||||
ADCQ 40+i+z, R13; MOVQ R13, 40+i+z; \
|
||||
ADCQ 48+i+z, R14; MOVQ R14, 48+i+z; \
|
||||
ADCQ $0, DX; MOVQ DX, 56+i+z;
|
||||
|
||||
// integerMulLeg multiplies x and y and stores in z
|
||||
// Uses: AX, DX, R8-R15, FLAGS
|
||||
// Instr: x86_64
|
||||
#define integerMulLeg(z,x,y) \
|
||||
MOVQ 0+y, R15; \
|
||||
MOVQ 0+x, AX; MULQ R15; MOVQ AX, 0+z; ;;;;;;;;;;;; MOVQ DX, R8; \
|
||||
MOVQ 8+x, AX; MULQ R15; ADDQ AX, R8; ADCQ $0, DX; MOVQ DX, R9; MOVQ R8, 8+z; \
|
||||
MOVQ 16+x, AX; MULQ R15; ADDQ AX, R9; ADCQ $0, DX; MOVQ DX, R10; MOVQ R9, 16+z; \
|
||||
MOVQ 24+x, AX; MULQ R15; ADDQ AX, R10; ADCQ $0, DX; MOVQ DX, R11; MOVQ R10, 24+z; \
|
||||
MOVQ 32+x, AX; MULQ R15; ADDQ AX, R11; ADCQ $0, DX; MOVQ DX, R12; MOVQ R11, 32+z; \
|
||||
MOVQ 40+x, AX; MULQ R15; ADDQ AX, R12; ADCQ $0, DX; MOVQ DX, R13; MOVQ R12, 40+z; \
|
||||
MOVQ 48+x, AX; MULQ R15; ADDQ AX, R13; ADCQ $0, DX; MOVQ DX,56+z; MOVQ R13, 48+z; \
|
||||
maddLegacy(z,x,y, 8) \
|
||||
maddLegacy(z,x,y,16) \
|
||||
maddLegacy(z,x,y,24) \
|
||||
maddLegacy(z,x,y,32) \
|
||||
maddLegacy(z,x,y,40) \
|
||||
maddLegacy(z,x,y,48)
|
||||
|
||||
// integerSqrLeg squares x and stores in z
|
||||
// Uses: AX, CX, DX, R8-R15, FLAGS
|
||||
// Instr: x86_64
|
||||
#define integerSqrLeg(z,x) \
|
||||
XORL R15, R15; \
|
||||
MOVQ 0+x, CX; \
|
||||
MOVQ CX, AX; MULQ CX; MOVQ AX, 0+z; MOVQ DX, R8; \
|
||||
ADDQ CX, CX; ADCQ $0, R15; \
|
||||
MOVQ 8+x, AX; MULQ CX; ADDQ AX, R8; ADCQ $0, DX; MOVQ DX, R9; MOVQ R8, 8+z; \
|
||||
MOVQ 16+x, AX; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; MOVQ DX, R10; \
|
||||
MOVQ 24+x, AX; MULQ CX; ADDQ AX, R10; ADCQ $0, DX; MOVQ DX, R11; \
|
||||
MOVQ 32+x, AX; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; MOVQ DX, R12; \
|
||||
MOVQ 40+x, AX; MULQ CX; ADDQ AX, R12; ADCQ $0, DX; MOVQ DX, R13; \
|
||||
MOVQ 48+x, AX; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; MOVQ DX, R14; \
|
||||
\
|
||||
MOVQ 8+x, CX; \
|
||||
MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \
|
||||
;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; MOVQ R9,16+z; \
|
||||
MOVQ R15, AX; NEGQ AX; ANDQ 8+x, AX; ADDQ AX, DX; ADCQ $0, R11; MOVQ DX, R8; \
|
||||
ADDQ 8+x, CX; ADCQ $0, R15; \
|
||||
MOVQ 16+x, AX; MULQ CX; ADDQ AX, R10; ADCQ $0, DX; ADDQ R8, R10; ADCQ $0, DX; MOVQ DX, R8; MOVQ R10, 24+z; \
|
||||
MOVQ 24+x, AX; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; ADDQ R8, R11; ADCQ $0, DX; MOVQ DX, R8; \
|
||||
MOVQ 32+x, AX; MULQ CX; ADDQ AX, R12; ADCQ $0, DX; ADDQ R8, R12; ADCQ $0, DX; MOVQ DX, R8; \
|
||||
MOVQ 40+x, AX; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; ADDQ R8, R13; ADCQ $0, DX; MOVQ DX, R8; \
|
||||
MOVQ 48+x, AX; MULQ CX; ADDQ AX, R14; ADCQ $0, DX; ADDQ R8, R14; ADCQ $0, DX; MOVQ DX, R9; \
|
||||
\
|
||||
MOVQ 16+x, CX; \
|
||||
MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \
|
||||
;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; MOVQ R11, 32+z; \
|
||||
MOVQ R15, AX; NEGQ AX; ANDQ 16+x,AX; ADDQ AX, DX; ADCQ $0, R13; MOVQ DX, R8; \
|
||||
ADDQ 16+x, CX; ADCQ $0, R15; \
|
||||
MOVQ 24+x, AX; MULQ CX; ADDQ AX, R12; ADCQ $0, DX; ADDQ R8, R12; ADCQ $0, DX; MOVQ DX, R8; MOVQ R12, 40+z; \
|
||||
MOVQ 32+x, AX; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; ADDQ R8, R13; ADCQ $0, DX; MOVQ DX, R8; \
|
||||
MOVQ 40+x, AX; MULQ CX; ADDQ AX, R14; ADCQ $0, DX; ADDQ R8, R14; ADCQ $0, DX; MOVQ DX, R8; \
|
||||
MOVQ 48+x, AX; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; ADDQ R8, R9; ADCQ $0, DX; MOVQ DX,R10; \
|
||||
\
|
||||
MOVQ 24+x, CX; \
|
||||
MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \
|
||||
;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; MOVQ R13, 48+z; \
|
||||
MOVQ R15, AX; NEGQ AX; ANDQ 24+x,AX; ADDQ AX, DX; ADCQ $0, R9; MOVQ DX, R8; \
|
||||
ADDQ 24+x, CX; ADCQ $0, R15; \
|
||||
MOVQ 32+x, AX; MULQ CX; ADDQ AX, R14; ADCQ $0, DX; ADDQ R8, R14; ADCQ $0, DX; MOVQ DX, R8; MOVQ R14, 56+z; \
|
||||
MOVQ 40+x, AX; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; ADDQ R8, R9; ADCQ $0, DX; MOVQ DX, R8; \
|
||||
MOVQ 48+x, AX; MULQ CX; ADDQ AX, R10; ADCQ $0, DX; ADDQ R8, R10; ADCQ $0, DX; MOVQ DX,R11; \
|
||||
\
|
||||
MOVQ 32+x, CX; \
|
||||
MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \
|
||||
;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; MOVQ R9, 64+z; \
|
||||
MOVQ R15, AX; NEGQ AX; ANDQ 32+x,AX; ADDQ AX, DX; ADCQ $0, R11; MOVQ DX, R8; \
|
||||
ADDQ 32+x, CX; ADCQ $0, R15; \
|
||||
MOVQ 40+x, AX; MULQ CX; ADDQ AX, R10; ADCQ $0, DX; ADDQ R8, R10; ADCQ $0, DX; MOVQ DX, R8; MOVQ R10, 72+z; \
|
||||
MOVQ 48+x, AX; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; ADDQ R8, R11; ADCQ $0, DX; MOVQ DX,R12; \
|
||||
\
|
||||
XORL R13, R13; \
|
||||
XORL R14, R14; \
|
||||
MOVQ 40+x, CX; \
|
||||
MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \
|
||||
;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; MOVQ R11, 80+z; \
|
||||
MOVQ R15, AX; NEGQ AX; ANDQ 40+x,AX; ADDQ AX, DX; ADCQ $0, R13; MOVQ DX, R8; \
|
||||
ADDQ 40+x, CX; ADCQ $0, R15; \
|
||||
MOVQ 48+x, AX; MULQ CX; ADDQ AX, R12; ADCQ $0, DX; ADDQ R8, R12; ADCQ $0, DX; MOVQ DX, R8; MOVQ R12, 88+z; \
|
||||
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ADDQ R8, R13; ADCQ $0,R14; \
|
||||
\
|
||||
XORL R9, R9; \
|
||||
MOVQ 48+x, CX; \
|
||||
MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \
|
||||
;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; MOVQ R13, 96+z; \
|
||||
MOVQ R15, AX; NEGQ AX; ANDQ 48+x,AX; ADDQ AX, DX; ADCQ $0, R9; MOVQ DX, R8; \
|
||||
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ADDQ R8,R14; ADCQ $0, R9; MOVQ R14, 104+z;
|
||||
|
||||
|
||||
// integerSqrAdx squares x and stores in z
|
||||
// Uses: AX, CX, DX, R8-R15, FLAGS
|
||||
// Instr: x86_64, bmi2, adx
|
||||
#define integerSqrAdx(z,x) \
|
||||
XORL R15, R15; \
|
||||
MOVQ 0+x, DX; \
|
||||
;;;;;;;;;;;;;; MULXQ DX, AX, R8; MOVQ AX, 0+z; \
|
||||
ADDQ DX, DX; ADCQ $0, R15; CLC; \
|
||||
MULXQ 8+x, AX, R9; ADCXQ AX, R8; MOVQ R8, 8+z; \
|
||||
MULXQ 16+x, AX, R10; ADCXQ AX, R9; MOVQ $0, R8;\
|
||||
MULXQ 24+x, AX, R11; ADCXQ AX, R10; \
|
||||
MULXQ 32+x, AX, R12; ADCXQ AX, R11; \
|
||||
MULXQ 40+x, AX, R13; ADCXQ AX, R12; \
|
||||
MULXQ 48+x, AX, R14; ADCXQ AX, R13; \
|
||||
;;;;;;;;;;;;;;;;;;;; ADCXQ R8, R14; \
|
||||
\
|
||||
MOVQ 8+x, DX; \
|
||||
MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \
|
||||
MULXQ AX, AX, CX; \
|
||||
MOVQ R15, R8; NEGQ R8; ANDQ 8+x, R8; \
|
||||
ADDQ AX, R9; MOVQ R9, 16+z; \
|
||||
ADCQ CX, R8; \
|
||||
ADCQ $0, R11; \
|
||||
ADDQ 8+x, DX; \
|
||||
ADCQ $0, R15; \
|
||||
XORL R9, R9; ;;;;;;;;;;;;;;;;;;;;; ADOXQ R8, R10; \
|
||||
MULXQ 16+x, AX, CX; ADCXQ AX, R10; ADOXQ CX, R11; MOVQ R10, 24+z; \
|
||||
MULXQ 24+x, AX, CX; ADCXQ AX, R11; ADOXQ CX, R12; MOVQ $0, R10; \
|
||||
MULXQ 32+x, AX, CX; ADCXQ AX, R12; ADOXQ CX, R13; \
|
||||
MULXQ 40+x, AX, CX; ADCXQ AX, R13; ADOXQ CX, R14; \
|
||||
MULXQ 48+x, AX, CX; ADCXQ AX, R14; ADOXQ CX, R9; \
|
||||
;;;;;;;;;;;;;;;;;;; ADCXQ R10, R9; \
|
||||
\
|
||||
MOVQ 16+x, DX; \
|
||||
MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \
|
||||
MULXQ AX, AX, CX; \
|
||||
MOVQ R15, R8; NEGQ R8; ANDQ 16+x, R8; \
|
||||
ADDQ AX, R11; MOVQ R11, 32+z; \
|
||||
ADCQ CX, R8; \
|
||||
ADCQ $0, R13; \
|
||||
ADDQ 16+x, DX; \
|
||||
ADCQ $0, R15; \
|
||||
XORL R11, R11; ;;;;;;;;;;;;;;;;;;; ADOXQ R8, R12; \
|
||||
MULXQ 24+x, AX, CX; ADCXQ AX, R12; ADOXQ CX, R13; MOVQ R12, 40+z; \
|
||||
MULXQ 32+x, AX, CX; ADCXQ AX, R13; ADOXQ CX, R14; MOVQ $0, R12; \
|
||||
MULXQ 40+x, AX, CX; ADCXQ AX, R14; ADOXQ CX, R9; \
|
||||
MULXQ 48+x, AX, CX; ADCXQ AX, R9; ADOXQ CX, R10; \
|
||||
;;;;;;;;;;;;;;;;;;; ADCXQ R11,R10; \
|
||||
\
|
||||
MOVQ 24+x, DX; \
|
||||
MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \
|
||||
MULXQ AX, AX, CX; \
|
||||
MOVQ R15, R8; NEGQ R8; ANDQ 24+x, R8; \
|
||||
ADDQ AX, R13; MOVQ R13, 48+z; \
|
||||
ADCQ CX, R8; \
|
||||
ADCQ $0, R9; \
|
||||
ADDQ 24+x, DX; \
|
||||
ADCQ $0, R15; \
|
||||
XORL R13, R13; ;;;;;;;;;;;;;;;;;;; ADOXQ R8, R14; \
|
||||
MULXQ 32+x, AX, CX; ADCXQ AX, R14; ADOXQ CX, R9; MOVQ R14, 56+z; \
|
||||
MULXQ 40+x, AX, CX; ADCXQ AX, R9; ADOXQ CX, R10; MOVQ $0, R14; \
|
||||
MULXQ 48+x, AX, CX; ADCXQ AX, R10; ADOXQ CX, R11; \
|
||||
;;;;;;;;;;;;;;;;;;; ADCXQ R12,R11; \
|
||||
\
|
||||
MOVQ 32+x, DX; \
|
||||
MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \
|
||||
MULXQ AX, AX, CX; \
|
||||
MOVQ R15, R8; NEGQ R8; ANDQ 32+x, R8; \
|
||||
ADDQ AX, R9; MOVQ R9, 64+z; \
|
||||
ADCQ CX, R8; \
|
||||
ADCQ $0, R11; \
|
||||
ADDQ 32+x, DX; \
|
||||
ADCQ $0, R15; \
|
||||
XORL R9, R9; ;;;;;;;;;;;;;;;;;;;;; ADOXQ R8, R10; \
|
||||
MULXQ 40+x, AX, CX; ADCXQ AX, R10; ADOXQ CX, R11; MOVQ R10, 72+z; \
|
||||
MULXQ 48+x, AX, CX; ADCXQ AX, R11; ADOXQ CX, R12; \
|
||||
;;;;;;;;;;;;;;;;;;; ADCXQ R13,R12; \
|
||||
\
|
||||
MOVQ 40+x, DX; \
|
||||
MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \
|
||||
MULXQ AX, AX, CX; \
|
||||
MOVQ R15, R8; NEGQ R8; ANDQ 40+x, R8; \
|
||||
ADDQ AX, R11; MOVQ R11, 80+z; \
|
||||
ADCQ CX, R8; \
|
||||
ADCQ $0, R13; \
|
||||
ADDQ 40+x, DX; \
|
||||
ADCQ $0, R15; \
|
||||
XORL R11, R11; ;;;;;;;;;;;;;;;;;;; ADOXQ R8, R12; \
|
||||
MULXQ 48+x, AX, CX; ADCXQ AX, R12; ADOXQ CX, R13; MOVQ R12, 88+z; \
|
||||
;;;;;;;;;;;;;;;;;;; ADCXQ R14,R13; \
|
||||
\
|
||||
MOVQ 48+x, DX; \
|
||||
MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \
|
||||
MULXQ AX, AX, CX; \
|
||||
MOVQ R15, R8; NEGQ R8; ANDQ 48+x, R8; \
|
||||
XORL R10, R10; ;;;;;;;;;;;;;; ADOXQ CX, R14; \
|
||||
;;;;;;;;;;;;;; ADCXQ AX, R13; ;;;;;;;;;;;;;; MOVQ R13, 96+z; \
|
||||
;;;;;;;;;;;;;; ADCXQ R8, R14; MOVQ R14, 104+z;
|
||||
|
||||
// reduceFromDoubleLeg finds a z=x modulo p such that z<2^448 and stores in z
|
||||
// Uses: AX, R8-R15, FLAGS
|
||||
// Instr: x86_64
|
||||
#define reduceFromDoubleLeg(z,x) \
|
||||
/* ( ,2C13,2C12,2C11,2C10|C10,C9,C8, C7) + (C6,...,C0) */ \
|
||||
/* (r14, r13, r12, r11, r10,r9,r8,r15) */ \
|
||||
MOVQ 80+x,AX; MOVQ AX,R10; \
|
||||
MOVQ $0xFFFFFFFF00000000, R8; \
|
||||
ANDQ R8,R10; \
|
||||
\
|
||||
MOVQ $0,R14; \
|
||||
MOVQ 104+x,R13; SHLQ $1,R13,R14; \
|
||||
MOVQ 96+x,R12; SHLQ $1,R12,R13; \
|
||||
MOVQ 88+x,R11; SHLQ $1,R11,R12; \
|
||||
MOVQ 72+x, R9; SHLQ $1,R10,R11; \
|
||||
MOVQ 64+x, R8; SHLQ $1,R10; \
|
||||
MOVQ $0xFFFFFFFF,R15; ANDQ R15,AX; ORQ AX,R10; \
|
||||
MOVQ 56+x,R15; \
|
||||
\
|
||||
ADDQ 0+x,R15; MOVQ R15, 0+z; MOVQ 56+x,R15; \
|
||||
ADCQ 8+x, R8; MOVQ R8, 8+z; MOVQ 64+x, R8; \
|
||||
ADCQ 16+x, R9; MOVQ R9,16+z; MOVQ 72+x, R9; \
|
||||
ADCQ 24+x,R10; MOVQ R10,24+z; MOVQ 80+x,R10; \
|
||||
ADCQ 32+x,R11; MOVQ R11,32+z; MOVQ 88+x,R11; \
|
||||
ADCQ 40+x,R12; MOVQ R12,40+z; MOVQ 96+x,R12; \
|
||||
ADCQ 48+x,R13; MOVQ R13,48+z; MOVQ 104+x,R13; \
|
||||
ADCQ $0,R14; \
|
||||
/* (c10c9,c9c8,c8c7,c7c13,c13c12,c12c11,c11c10) + (c6,...,c0) */ \
|
||||
/* ( r9, r8, r15, r13, r12, r11, r10) */ \
|
||||
MOVQ R10, AX; \
|
||||
SHRQ $32,R11,R10; \
|
||||
SHRQ $32,R12,R11; \
|
||||
SHRQ $32,R13,R12; \
|
||||
SHRQ $32,R15,R13; \
|
||||
SHRQ $32, R8,R15; \
|
||||
SHRQ $32, R9, R8; \
|
||||
SHRQ $32, AX, R9; \
|
||||
\
|
||||
ADDQ 0+z,R10; \
|
||||
ADCQ 8+z,R11; \
|
||||
ADCQ 16+z,R12; \
|
||||
ADCQ 24+z,R13; \
|
||||
ADCQ 32+z,R15; \
|
||||
ADCQ 40+z, R8; \
|
||||
ADCQ 48+z, R9; \
|
||||
ADCQ $0,R14; \
|
||||
/* ( c7) + (c6,...,c0) */ \
|
||||
/* (r14) */ \
|
||||
MOVQ R14, AX; SHLQ $32, AX; \
|
||||
ADDQ R14,R10; MOVQ $0,R14; \
|
||||
ADCQ $0,R11; \
|
||||
ADCQ $0,R12; \
|
||||
ADCQ AX,R13; \
|
||||
ADCQ $0,R15; \
|
||||
ADCQ $0, R8; \
|
||||
ADCQ $0, R9; \
|
||||
ADCQ $0,R14; \
|
||||
/* ( c7) + (c6,...,c0) */ \
|
||||
/* (r14) */ \
|
||||
MOVQ R14, AX; SHLQ $32,AX; \
|
||||
ADDQ R14,R10; MOVQ R10, 0+z; \
|
||||
ADCQ $0,R11; MOVQ R11, 8+z; \
|
||||
ADCQ $0,R12; MOVQ R12,16+z; \
|
||||
ADCQ AX,R13; MOVQ R13,24+z; \
|
||||
ADCQ $0,R15; MOVQ R15,32+z; \
|
||||
ADCQ $0, R8; MOVQ R8,40+z; \
|
||||
ADCQ $0, R9; MOVQ R9,48+z;
|
||||
|
||||
// reduceFromDoubleAdx finds a z=x modulo p such that z<2^448 and stores in z
|
||||
// Uses: AX, R8-R15, FLAGS
|
||||
// Instr: x86_64, adx
|
||||
#define reduceFromDoubleAdx(z,x) \
|
||||
/* ( ,2C13,2C12,2C11,2C10|C10,C9,C8, C7) + (C6,...,C0) */ \
|
||||
/* (r14, r13, r12, r11, r10,r9,r8,r15) */ \
|
||||
MOVQ 80+x,AX; MOVQ AX,R10; \
|
||||
MOVQ $0xFFFFFFFF00000000, R8; \
|
||||
ANDQ R8,R10; \
|
||||
\
|
||||
MOVQ $0,R14; \
|
||||
MOVQ 104+x,R13; SHLQ $1,R13,R14; \
|
||||
MOVQ 96+x,R12; SHLQ $1,R12,R13; \
|
||||
MOVQ 88+x,R11; SHLQ $1,R11,R12; \
|
||||
MOVQ 72+x, R9; SHLQ $1,R10,R11; \
|
||||
MOVQ 64+x, R8; SHLQ $1,R10; \
|
||||
MOVQ $0xFFFFFFFF,R15; ANDQ R15,AX; ORQ AX,R10; \
|
||||
MOVQ 56+x,R15; \
|
||||
\
|
||||
XORL AX,AX; \
|
||||
ADCXQ 0+x,R15; MOVQ R15, 0+z; MOVQ 56+x,R15; \
|
||||
ADCXQ 8+x, R8; MOVQ R8, 8+z; MOVQ 64+x, R8; \
|
||||
ADCXQ 16+x, R9; MOVQ R9,16+z; MOVQ 72+x, R9; \
|
||||
ADCXQ 24+x,R10; MOVQ R10,24+z; MOVQ 80+x,R10; \
|
||||
ADCXQ 32+x,R11; MOVQ R11,32+z; MOVQ 88+x,R11; \
|
||||
ADCXQ 40+x,R12; MOVQ R12,40+z; MOVQ 96+x,R12; \
|
||||
ADCXQ 48+x,R13; MOVQ R13,48+z; MOVQ 104+x,R13; \
|
||||
ADCXQ AX,R14; \
|
||||
/* (c10c9,c9c8,c8c7,c7c13,c13c12,c12c11,c11c10) + (c6,...,c0) */ \
|
||||
/* ( r9, r8, r15, r13, r12, r11, r10) */ \
|
||||
MOVQ R10, AX; \
|
||||
SHRQ $32,R11,R10; \
|
||||
SHRQ $32,R12,R11; \
|
||||
SHRQ $32,R13,R12; \
|
||||
SHRQ $32,R15,R13; \
|
||||
SHRQ $32, R8,R15; \
|
||||
SHRQ $32, R9, R8; \
|
||||
SHRQ $32, AX, R9; \
|
||||
\
|
||||
XORL AX,AX; \
|
||||
ADCXQ 0+z,R10; \
|
||||
ADCXQ 8+z,R11; \
|
||||
ADCXQ 16+z,R12; \
|
||||
ADCXQ 24+z,R13; \
|
||||
ADCXQ 32+z,R15; \
|
||||
ADCXQ 40+z, R8; \
|
||||
ADCXQ 48+z, R9; \
|
||||
ADCXQ AX,R14; \
|
||||
/* ( c7) + (c6,...,c0) */ \
|
||||
/* (r14) */ \
|
||||
MOVQ R14, AX; SHLQ $32, AX; \
|
||||
CLC; \
|
||||
ADCXQ R14,R10; MOVQ $0,R14; \
|
||||
ADCXQ R14,R11; \
|
||||
ADCXQ R14,R12; \
|
||||
ADCXQ AX,R13; \
|
||||
ADCXQ R14,R15; \
|
||||
ADCXQ R14, R8; \
|
||||
ADCXQ R14, R9; \
|
||||
ADCXQ R14,R14; \
|
||||
/* ( c7) + (c6,...,c0) */ \
|
||||
/* (r14) */ \
|
||||
MOVQ R14, AX; SHLQ $32, AX; \
|
||||
CLC; \
|
||||
ADCXQ R14,R10; MOVQ R10, 0+z; MOVQ $0,R14; \
|
||||
ADCXQ R14,R11; MOVQ R11, 8+z; \
|
||||
ADCXQ R14,R12; MOVQ R12,16+z; \
|
||||
ADCXQ AX,R13; MOVQ R13,24+z; \
|
||||
ADCXQ R14,R15; MOVQ R15,32+z; \
|
||||
ADCXQ R14, R8; MOVQ R8,40+z; \
|
||||
ADCXQ R14, R9; MOVQ R9,48+z;
|
||||
|
||||
// addSub calculates two operations: x,y = x+y,x-y
|
||||
// Uses: AX, DX, R8-R15, FLAGS
|
||||
#define addSub(x,y) \
|
||||
MOVQ 0+x, R8; ADDQ 0+y, R8; \
|
||||
MOVQ 8+x, R9; ADCQ 8+y, R9; \
|
||||
MOVQ 16+x, R10; ADCQ 16+y, R10; \
|
||||
MOVQ 24+x, R11; ADCQ 24+y, R11; \
|
||||
MOVQ 32+x, R12; ADCQ 32+y, R12; \
|
||||
MOVQ 40+x, R13; ADCQ 40+y, R13; \
|
||||
MOVQ 48+x, R14; ADCQ 48+y, R14; \
|
||||
MOVQ $0, AX; ADCQ $0, AX; \
|
||||
MOVQ AX, DX; \
|
||||
SHLQ $32, DX; \
|
||||
ADDQ AX, R8; MOVQ $0, AX; \
|
||||
ADCQ $0, R9; \
|
||||
ADCQ $0, R10; \
|
||||
ADCQ DX, R11; \
|
||||
ADCQ $0, R12; \
|
||||
ADCQ $0, R13; \
|
||||
ADCQ $0, R14; \
|
||||
ADCQ $0, AX; \
|
||||
MOVQ AX, DX; \
|
||||
SHLQ $32, DX; \
|
||||
ADDQ AX, R8; MOVQ 0+x,AX; MOVQ R8, 0+x; MOVQ AX, R8; \
|
||||
ADCQ $0, R9; MOVQ 8+x,AX; MOVQ R9, 8+x; MOVQ AX, R9; \
|
||||
ADCQ $0, R10; MOVQ 16+x,AX; MOVQ R10, 16+x; MOVQ AX, R10; \
|
||||
ADCQ DX, R11; MOVQ 24+x,AX; MOVQ R11, 24+x; MOVQ AX, R11; \
|
||||
ADCQ $0, R12; MOVQ 32+x,AX; MOVQ R12, 32+x; MOVQ AX, R12; \
|
||||
ADCQ $0, R13; MOVQ 40+x,AX; MOVQ R13, 40+x; MOVQ AX, R13; \
|
||||
ADCQ $0, R14; MOVQ 48+x,AX; MOVQ R14, 48+x; MOVQ AX, R14; \
|
||||
SUBQ 0+y, R8; \
|
||||
SBBQ 8+y, R9; \
|
||||
SBBQ 16+y, R10; \
|
||||
SBBQ 24+y, R11; \
|
||||
SBBQ 32+y, R12; \
|
||||
SBBQ 40+y, R13; \
|
||||
SBBQ 48+y, R14; \
|
||||
MOVQ $0, AX; SETCS AX; \
|
||||
MOVQ AX, DX; \
|
||||
SHLQ $32, DX; \
|
||||
SUBQ AX, R8; MOVQ $0, AX; \
|
||||
SBBQ $0, R9; \
|
||||
SBBQ $0, R10; \
|
||||
SBBQ DX, R11; \
|
||||
SBBQ $0, R12; \
|
||||
SBBQ $0, R13; \
|
||||
SBBQ $0, R14; \
|
||||
SETCS AX; \
|
||||
MOVQ AX, DX; \
|
||||
SHLQ $32, DX; \
|
||||
SUBQ AX, R8; MOVQ R8, 0+y; \
|
||||
SBBQ $0, R9; MOVQ R9, 8+y; \
|
||||
SBBQ $0, R10; MOVQ R10, 16+y; \
|
||||
SBBQ DX, R11; MOVQ R11, 24+y; \
|
||||
SBBQ $0, R12; MOVQ R12, 32+y; \
|
||||
SBBQ $0, R13; MOVQ R13, 40+y; \
|
||||
SBBQ $0, R14; MOVQ R14, 48+y;
|
||||
Some files were not shown because too many files have changed in this diff Show More
Loading…
Reference in New Issue
Block a user