--- /dev/null
+// Copyright 2022 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 ignore
+
+package main
+
+import (
+ "bytes"
+ "crypto/elliptic"
+ "fmt"
+ "go/format"
+ "log"
+ "os"
+ "strings"
+ "text/template"
+)
+
+var curves = []struct {
+ P string
+ Element string
+ Params *elliptic.CurveParams
+ BuildTags string
+}{
+ {
+ P: "P224",
+ Element: "fiat.P224Element",
+ Params: elliptic.P224().Params(),
+ },
+ {
+ P: "P384",
+ Element: "fiat.P384Element",
+ Params: elliptic.P384().Params(),
+ },
+ {
+ P: "P521",
+ Element: "fiat.P521Element",
+ Params: elliptic.P521().Params(),
+ },
+}
+
+func main() {
+ t := template.Must(template.New("tmplNISTEC").Parse(tmplNISTEC))
+
+ for _, c := range curves {
+ p := strings.ToLower(c.P)
+ elementLen := (c.Params.BitSize + 7) / 8
+ B := fmt.Sprintf("%#v", c.Params.B.FillBytes(make([]byte, elementLen)))
+ G := fmt.Sprintf("%#v", elliptic.Marshal(c.Params, c.Params.Gx, c.Params.Gy))
+
+ log.Printf("Generating %s.go...", p)
+ f, err := os.Create(p + ".go")
+ if err != nil {
+ log.Fatal(err)
+ }
+ buf := &bytes.Buffer{}
+ if err := t.Execute(buf, map[string]interface{}{
+ "P": c.P, "p": p, "B": B, "G": G,
+ "Element": c.Element, "ElementLen": elementLen,
+ "BuildTags": c.BuildTags,
+ }); err != nil {
+ log.Fatal(err)
+ }
+ out, err := format.Source(buf.Bytes())
+ if err != nil {
+ log.Fatal(err)
+ }
+ if _, err := f.Write(out); err != nil {
+ log.Fatal(err)
+ }
+ if err := f.Close(); err != nil {
+ log.Fatal(err)
+ }
+ }
+}
+
+const tmplNISTEC = `// Copyright 2022 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.
+
+// Code generated by generate.go. DO NOT EDIT.
+
+{{ if .BuildTags }}
+//go:build {{ .BuildTags }}
+{{ end }}
+
+package nistec
+
+import (
+ "crypto/elliptic/internal/fiat"
+ "crypto/subtle"
+ "errors"
+)
+
+var {{.p}}B, _ = new({{.Element}}).SetBytes({{.B}})
+
+var {{.p}}G, _ = New{{.P}}Point().SetBytes({{.G}})
+
+const {{.p}}ElementLength = {{ .ElementLen }}
+
+// {{.P}}Point is a {{.P}} point. The zero value is NOT valid.
+type {{.P}}Point struct {
+ // The point is represented in projective coordinates (X:Y:Z),
+ // where x = X/Z and y = Y/Z.
+ x, y, z *{{.Element}}
+}
+
+// New{{.P}}Point returns a new {{.P}}Point representing the point at infinity point.
+func New{{.P}}Point() *{{.P}}Point {
+ return &{{.P}}Point{
+ x: new({{.Element}}),
+ y: new({{.Element}}).One(),
+ z: new({{.Element}}),
+ }
+}
+
+// New{{.P}}Generator returns a new {{.P}}Point set to the canonical generator.
+func New{{.P}}Generator() *{{.P}}Point {
+ return (&{{.P}}Point{
+ x: new({{.Element}}),
+ y: new({{.Element}}),
+ z: new({{.Element}}),
+ }).Set({{.p}}G)
+}
+
+// Set sets p = q and returns p.
+func (p *{{.P}}Point) Set(q *{{.P}}Point) *{{.P}}Point {
+ p.x.Set(q.x)
+ p.y.Set(q.y)
+ p.z.Set(q.z)
+ return p
+}
+
+// SetBytes sets p to the compressed, uncompressed, or infinity value encoded in
+// b, as specified in SEC 1, Version 2.0, Section 2.3.4. If the point is not on
+// the curve, it returns nil and an error, and the receiver is unchanged.
+// Otherwise, it returns p.
+func (p *{{.P}}Point) SetBytes(b []byte) (*{{.P}}Point, error) {
+ switch {
+ // Point at infinity.
+ case len(b) == 1 && b[0] == 0:
+ return p.Set(New{{.P}}Point()), nil
+
+ // Uncompressed form.
+ case len(b) == 1+2*{{.p}}ElementLength && b[0] == 4:
+ x, err := new({{.Element}}).SetBytes(b[1 : 1+{{.p}}ElementLength])
+ if err != nil {
+ return nil, err
+ }
+ y, err := new({{.Element}}).SetBytes(b[1+{{.p}}ElementLength:])
+ if err != nil {
+ return nil, err
+ }
+ if err := {{.p}}CheckOnCurve(x, y); err != nil {
+ return nil, err
+ }
+ p.x.Set(x)
+ p.y.Set(y)
+ p.z.One()
+ return p, nil
+
+ // Compressed form
+ case len(b) == 1+{{.p}}ElementLength && b[0] == 0:
+ return nil, errors.New("unimplemented") // TODO(filippo)
+
+ default:
+ return nil, errors.New("invalid {{.P}} point encoding")
+ }
+}
+
+func {{.p}}CheckOnCurve(x, y *{{.Element}}) error {
+ // x³ - 3x + b.
+ x3 := new({{.Element}}).Square(x)
+ x3.Mul(x3, x)
+
+ threeX := new({{.Element}}).Add(x, x)
+ threeX.Add(threeX, x)
+
+ x3.Sub(x3, threeX)
+ x3.Add(x3, {{.p}}B)
+
+ // y² = x³ - 3x + b
+ y2 := new({{.Element}}).Square(y)
+
+ if x3.Equal(y2) != 1 {
+ return errors.New("{{.P}} point not on curve")
+ }
+ return nil
+}
+
+// Bytes returns the uncompressed or infinity encoding of p, as specified in
+// SEC 1, Version 2.0, Section 2.3.3. Note that the encoding of the point at
+// infinity is shorter than all other encodings.
+func (p *{{.P}}Point) Bytes() []byte {
+ // This function is outlined to make the allocations inline in the caller
+ // rather than happen on the heap.
+ var out [133]byte
+ return p.bytes(&out)
+}
+
+func (p *{{.P}}Point) bytes(out *[133]byte) []byte {
+ if p.z.IsZero() == 1 {
+ return append(out[:0], 0)
+ }
+
+ zinv := new({{.Element}}).Invert(p.z)
+ xx := new({{.Element}}).Mul(p.x, zinv)
+ yy := new({{.Element}}).Mul(p.y, zinv)
+
+ buf := append(out[:0], 4)
+ buf = append(buf, xx.Bytes()...)
+ buf = append(buf, yy.Bytes()...)
+ return buf
+}
+
+// Add sets q = p1 + p2, and returns q. The points may overlap.
+func (q *{{.P}}Point) Add(p1, p2 *{{.P}}Point) *{{.P}}Point {
+ // Complete addition formula for a = -3 from "Complete addition formulas for
+ // prime order elliptic curves" (https://eprint.iacr.org/2015/1060), §A.2.
+
+ t0 := new({{.Element}}).Mul(p1.x, p2.x) // t0 := X1 * X2
+ t1 := new({{.Element}}).Mul(p1.y, p2.y) // t1 := Y1 * Y2
+ t2 := new({{.Element}}).Mul(p1.z, p2.z) // t2 := Z1 * Z2
+ t3 := new({{.Element}}).Add(p1.x, p1.y) // t3 := X1 + Y1
+ t4 := new({{.Element}}).Add(p2.x, p2.y) // t4 := X2 + Y2
+ t3.Mul(t3, t4) // t3 := t3 * t4
+ t4.Add(t0, t1) // t4 := t0 + t1
+ t3.Sub(t3, t4) // t3 := t3 - t4
+ t4.Add(p1.y, p1.z) // t4 := Y1 + Z1
+ x3 := new({{.Element}}).Add(p2.y, p2.z) // X3 := Y2 + Z2
+ t4.Mul(t4, x3) // t4 := t4 * X3
+ x3.Add(t1, t2) // X3 := t1 + t2
+ t4.Sub(t4, x3) // t4 := t4 - X3
+ x3.Add(p1.x, p1.z) // X3 := X1 + Z1
+ y3 := new({{.Element}}).Add(p2.x, p2.z) // Y3 := X2 + Z2
+ x3.Mul(x3, y3) // X3 := X3 * Y3
+ y3.Add(t0, t2) // Y3 := t0 + t2
+ y3.Sub(x3, y3) // Y3 := X3 - Y3
+ z3 := new({{.Element}}).Mul({{.p}}B, t2) // Z3 := b * t2
+ x3.Sub(y3, z3) // X3 := Y3 - Z3
+ z3.Add(x3, x3) // Z3 := X3 + X3
+ x3.Add(x3, z3) // X3 := X3 + Z3
+ z3.Sub(t1, x3) // Z3 := t1 - X3
+ x3.Add(t1, x3) // X3 := t1 + X3
+ y3.Mul({{.p}}B, y3) // Y3 := b * Y3
+ t1.Add(t2, t2) // t1 := t2 + t2
+ t2.Add(t1, t2) // t2 := t1 + t2
+ y3.Sub(y3, t2) // Y3 := Y3 - t2
+ y3.Sub(y3, t0) // Y3 := Y3 - t0
+ t1.Add(y3, y3) // t1 := Y3 + Y3
+ y3.Add(t1, y3) // Y3 := t1 + Y3
+ t1.Add(t0, t0) // t1 := t0 + t0
+ t0.Add(t1, t0) // t0 := t1 + t0
+ t0.Sub(t0, t2) // t0 := t0 - t2
+ t1.Mul(t4, y3) // t1 := t4 * Y3
+ t2.Mul(t0, y3) // t2 := t0 * Y3
+ y3.Mul(x3, z3) // Y3 := X3 * Z3
+ y3.Add(y3, t2) // Y3 := Y3 + t2
+ x3.Mul(t3, x3) // X3 := t3 * X3
+ x3.Sub(x3, t1) // X3 := X3 - t1
+ z3.Mul(t4, z3) // Z3 := t4 * Z3
+ t1.Mul(t3, t0) // t1 := t3 * t0
+ z3.Add(z3, t1) // Z3 := Z3 + t1
+
+ q.x.Set(x3)
+ q.y.Set(y3)
+ q.z.Set(z3)
+ return q
+}
+
+// Double sets q = p + p, and returns q. The points may overlap.
+func (q *{{.P}}Point) Double(p *{{.P}}Point) *{{.P}}Point {
+ // Complete addition formula for a = -3 from "Complete addition formulas for
+ // prime order elliptic curves" (https://eprint.iacr.org/2015/1060), §A.2.
+
+ t0 := new({{.Element}}).Square(p.x) // t0 := X ^ 2
+ t1 := new({{.Element}}).Square(p.y) // t1 := Y ^ 2
+ t2 := new({{.Element}}).Square(p.z) // t2 := Z ^ 2
+ t3 := new({{.Element}}).Mul(p.x, p.y) // t3 := X * Y
+ t3.Add(t3, t3) // t3 := t3 + t3
+ z3 := new({{.Element}}).Mul(p.x, p.z) // Z3 := X * Z
+ z3.Add(z3, z3) // Z3 := Z3 + Z3
+ y3 := new({{.Element}}).Mul({{.p}}B, t2) // Y3 := b * t2
+ y3.Sub(y3, z3) // Y3 := Y3 - Z3
+ x3 := new({{.Element}}).Add(y3, y3) // X3 := Y3 + Y3
+ y3.Add(x3, y3) // Y3 := X3 + Y3
+ x3.Sub(t1, y3) // X3 := t1 - Y3
+ y3.Add(t1, y3) // Y3 := t1 + Y3
+ y3.Mul(x3, y3) // Y3 := X3 * Y3
+ x3.Mul(x3, t3) // X3 := X3 * t3
+ t3.Add(t2, t2) // t3 := t2 + t2
+ t2.Add(t2, t3) // t2 := t2 + t3
+ z3.Mul({{.p}}B, z3) // Z3 := b * Z3
+ z3.Sub(z3, t2) // Z3 := Z3 - t2
+ z3.Sub(z3, t0) // Z3 := Z3 - t0
+ t3.Add(z3, z3) // t3 := Z3 + Z3
+ z3.Add(z3, t3) // Z3 := Z3 + t3
+ t3.Add(t0, t0) // t3 := t0 + t0
+ t0.Add(t3, t0) // t0 := t3 + t0
+ t0.Sub(t0, t2) // t0 := t0 - t2
+ t0.Mul(t0, z3) // t0 := t0 * Z3
+ y3.Add(y3, t0) // Y3 := Y3 + t0
+ t0.Mul(p.y, p.z) // t0 := Y * Z
+ t0.Add(t0, t0) // t0 := t0 + t0
+ z3.Mul(t0, z3) // Z3 := t0 * Z3
+ x3.Sub(x3, z3) // X3 := X3 - Z3
+ z3.Mul(t0, t1) // Z3 := t0 * t1
+ z3.Add(z3, z3) // Z3 := Z3 + Z3
+ z3.Add(z3, z3) // Z3 := Z3 + Z3
+
+ q.x.Set(x3)
+ q.y.Set(y3)
+ q.z.Set(z3)
+ return q
+}
+
+// Select sets q to p1 if cond == 1, and to p2 if cond == 0.
+func (q *{{.P}}Point) Select(p1, p2 *{{.P}}Point, cond int) *{{.P}}Point {
+ q.x.Select(p1.x, p2.x, cond)
+ q.y.Select(p1.y, p2.y, cond)
+ q.z.Select(p1.z, p2.z, cond)
+ return q
+}
+
+// ScalarMult sets p = scalar * q, and returns p.
+func (p *{{.P}}Point) ScalarMult(q *{{.P}}Point, scalar []byte) *{{.P}}Point {
+ // table holds the first 16 multiples of q. The explicit new{{.P}}Point calls
+ // get inlined, letting the allocations live on the stack.
+ var table = [16]*{{.P}}Point{
+ New{{.P}}Point(), New{{.P}}Point(), New{{.P}}Point(), New{{.P}}Point(),
+ New{{.P}}Point(), New{{.P}}Point(), New{{.P}}Point(), New{{.P}}Point(),
+ New{{.P}}Point(), New{{.P}}Point(), New{{.P}}Point(), New{{.P}}Point(),
+ New{{.P}}Point(), New{{.P}}Point(), New{{.P}}Point(), New{{.P}}Point(),
+ }
+ for i := 1; i < 16; i++ {
+ table[i].Add(table[i-1], q)
+ }
+
+ // Instead of doing the classic double-and-add chain, we do it with a
+ // four-bit window: we double four times, and then add [0-15]P.
+ t := New{{.P}}Point()
+ p.Set(New{{.P}}Point())
+ for _, byte := range scalar {
+ p.Double(p)
+ p.Double(p)
+ p.Double(p)
+ p.Double(p)
+
+ for i := uint8(0); i < 16; i++ {
+ cond := subtle.ConstantTimeByteEq(byte>>4, i)
+ t.Select(table[i], t, cond)
+ }
+ p.Add(p, t)
+
+ p.Double(p)
+ p.Double(p)
+ p.Double(p)
+ p.Double(p)
+
+ for i := uint8(0); i < 16; i++ {
+ cond := subtle.ConstantTimeByteEq(byte&0b1111, i)
+ t.Select(table[i], t, cond)
+ }
+ p.Add(p, t)
+ }
+
+ return p
+}
+`
--- /dev/null
+// Copyright 2022 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 nistec implements the NIST P elliptic curves from FIPS 186-4.
+//
+// This package uses fiat-crypto or specialized assembly and Go code for its
+// backend field arithmetic (not math/big) and exposes constant-time, heap
+// allocation-free, byte slice-based safe APIs. Group operations use modern and
+// safe complete addition formulas where possible. The point at infinity is
+// handled and encoded according to SEC 1, Version 2.0, and invalid curve points
+// can't be represented.
+package nistec
+
+//go:generate go run generate.go
-// Copyright 2021 The Go Authors. All rights reserved.
+// Copyright 2022 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.
+// Code generated by generate.go. DO NOT EDIT.
+
package nistec
import (
"errors"
)
-var p224B, _ = new(fiat.P224Element).SetBytes([]byte{0xb4, 0x05, 0x0a, 0x85,
- 0x0c, 0x04, 0xb3, 0xab, 0xf5, 0x41, 0x32, 0x56, 0x50, 0x44, 0xb0, 0xb7,
- 0xd7, 0xbf, 0xd8, 0xba, 0x27, 0x0b, 0x39, 0x43, 0x23, 0x55, 0xff, 0xb4})
+var p224B, _ = new(fiat.P224Element).SetBytes([]byte{0xb4, 0x5, 0xa, 0x85, 0xc, 0x4, 0xb3, 0xab, 0xf5, 0x41, 0x32, 0x56, 0x50, 0x44, 0xb0, 0xb7, 0xd7, 0xbf, 0xd8, 0xba, 0x27, 0xb, 0x39, 0x43, 0x23, 0x55, 0xff, 0xb4})
-var p224G, _ = NewP224Point().SetBytes([]byte{0x04,
- 0xb7, 0x0e, 0x0c, 0xbd, 0x6b, 0xb4, 0xbf, 0x7f, 0x32, 0x13, 0x90, 0xb9,
- 0x4a, 0x03, 0xc1, 0xd3, 0x56, 0xc2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xd6,
- 0x11, 0x5c, 0x1d, 0x21, 0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb,
- 0x4c, 0x22, 0xdf, 0xe6, 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64,
- 0x44, 0xd5, 0x81, 0x99, 0x85, 0x0, 0x7e, 0x34})
+var p224G, _ = NewP224Point().SetBytes([]byte{0x4, 0xb7, 0xe, 0xc, 0xbd, 0x6b, 0xb4, 0xbf, 0x7f, 0x32, 0x13, 0x90, 0xb9, 0x4a, 0x3, 0xc1, 0xd3, 0x56, 0xc2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xd6, 0x11, 0x5c, 0x1d, 0x21, 0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, 0xdf, 0xe6, 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x7, 0x47, 0x64, 0x44, 0xd5, 0x81, 0x99, 0x85, 0x0, 0x7e, 0x34})
const p224ElementLength = 28
-// P224Point is a P-224 point. The zero value is NOT valid.
+// P224Point is a P224 point. The zero value is NOT valid.
type P224Point struct {
// The point is represented in projective coordinates (X:Y:Z),
// where x = X/Z and y = Y/Z.
-// Copyright 2021 The Go Authors. All rights reserved.
+// Copyright 2022 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.
+// Code generated by generate.go. DO NOT EDIT.
+
package nistec
import (
"errors"
)
-var p384B, _ = new(fiat.P384Element).SetBytes([]byte{
- 0xb3, 0x31, 0x2f, 0xa7, 0xe2, 0x3e, 0xe7, 0xe4, 0x98, 0x8e, 0x05, 0x6b,
- 0xe3, 0xf8, 0x2d, 0x19, 0x18, 0x1d, 0x9c, 0x6e, 0xfe, 0x81, 0x41, 0x12,
- 0x03, 0x14, 0x08, 0x8f, 0x50, 0x13, 0x87, 0x5a, 0xc6, 0x56, 0x39, 0x8d,
- 0x8a, 0x2e, 0xd1, 0x9d, 0x2a, 0x85, 0xc8, 0xed, 0xd3, 0xec, 0x2a, 0xef})
-
-var p384G, _ = NewP384Point().SetBytes([]byte{0x4,
- 0xaa, 0x87, 0xca, 0x22, 0xbe, 0x8b, 0x05, 0x37, 0x8e, 0xb1, 0xc7, 0x1e,
- 0xf3, 0x20, 0xad, 0x74, 0x6e, 0x1d, 0x3b, 0x62, 0x8b, 0xa7, 0x9b, 0x98,
- 0x59, 0xf7, 0x41, 0xe0, 0x82, 0x54, 0x2a, 0x38, 0x55, 0x02, 0xf2, 0x5d,
- 0xbf, 0x55, 0x29, 0x6c, 0x3a, 0x54, 0x5e, 0x38, 0x72, 0x76, 0x0a, 0xb7,
- 0x36, 0x17, 0xde, 0x4a, 0x96, 0x26, 0x2c, 0x6f, 0x5d, 0x9e, 0x98, 0xbf,
- 0x92, 0x92, 0xdc, 0x29, 0xf8, 0xf4, 0x1d, 0xbd, 0x28, 0x9a, 0x14, 0x7c,
- 0xe9, 0xda, 0x31, 0x13, 0xb5, 0xf0, 0xb8, 0xc0, 0x0a, 0x60, 0xb1, 0xce,
- 0x1d, 0x7e, 0x81, 0x9d, 0x7a, 0x43, 0x1d, 0x7c, 0x90, 0xea, 0x0e, 0x5f})
+var p384B, _ = new(fiat.P384Element).SetBytes([]byte{0xb3, 0x31, 0x2f, 0xa7, 0xe2, 0x3e, 0xe7, 0xe4, 0x98, 0x8e, 0x5, 0x6b, 0xe3, 0xf8, 0x2d, 0x19, 0x18, 0x1d, 0x9c, 0x6e, 0xfe, 0x81, 0x41, 0x12, 0x3, 0x14, 0x8, 0x8f, 0x50, 0x13, 0x87, 0x5a, 0xc6, 0x56, 0x39, 0x8d, 0x8a, 0x2e, 0xd1, 0x9d, 0x2a, 0x85, 0xc8, 0xed, 0xd3, 0xec, 0x2a, 0xef})
+
+var p384G, _ = NewP384Point().SetBytes([]byte{0x4, 0xaa, 0x87, 0xca, 0x22, 0xbe, 0x8b, 0x5, 0x37, 0x8e, 0xb1, 0xc7, 0x1e, 0xf3, 0x20, 0xad, 0x74, 0x6e, 0x1d, 0x3b, 0x62, 0x8b, 0xa7, 0x9b, 0x98, 0x59, 0xf7, 0x41, 0xe0, 0x82, 0x54, 0x2a, 0x38, 0x55, 0x2, 0xf2, 0x5d, 0xbf, 0x55, 0x29, 0x6c, 0x3a, 0x54, 0x5e, 0x38, 0x72, 0x76, 0xa, 0xb7, 0x36, 0x17, 0xde, 0x4a, 0x96, 0x26, 0x2c, 0x6f, 0x5d, 0x9e, 0x98, 0xbf, 0x92, 0x92, 0xdc, 0x29, 0xf8, 0xf4, 0x1d, 0xbd, 0x28, 0x9a, 0x14, 0x7c, 0xe9, 0xda, 0x31, 0x13, 0xb5, 0xf0, 0xb8, 0xc0, 0xa, 0x60, 0xb1, 0xce, 0x1d, 0x7e, 0x81, 0x9d, 0x7a, 0x43, 0x1d, 0x7c, 0x90, 0xea, 0xe, 0x5f})
const p384ElementLength = 48
-// P384Point is a P-384 point. The zero value is NOT valid.
+// P384Point is a P384 point. The zero value is NOT valid.
type P384Point struct {
// The point is represented in projective coordinates (X:Y:Z),
// where x = X/Z and y = Y/Z.
-// Copyright 2021 The Go Authors. All rights reserved.
+// Copyright 2022 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 nistec implements the NIST P elliptic curves from FIPS 186-4.
-//
-// This package uses fiat-crypto for its backend field arithmetic (not math/big)
-// and exposes constant-time, heap allocation-free, byte slice-based safe APIs.
-// Group operations use modern and safe complete addition formulas. The point at
-// infinity is handled and encoded according to SEC 1, Version 2.0, and invalid
-// curve points can't be represented.
+// Code generated by generate.go. DO NOT EDIT.
+
package nistec
import (
"errors"
)
-var p521B, _ = new(fiat.P521Element).SetBytes([]byte{
- 0x00, 0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c, 0x9a, 0x1f, 0x92, 0x9a,
- 0x21, 0xa0, 0xb6, 0x85, 0x40, 0xee, 0xa2, 0xda, 0x72, 0x5b, 0x99, 0xb3,
- 0x15, 0xf3, 0xb8, 0xb4, 0x89, 0x91, 0x8e, 0xf1, 0x09, 0xe1, 0x56, 0x19,
- 0x39, 0x51, 0xec, 0x7e, 0x93, 0x7b, 0x16, 0x52, 0xc0, 0xbd, 0x3b, 0xb1,
- 0xbf, 0x07, 0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c, 0x34, 0xf1, 0xef, 0x45,
- 0x1f, 0xd4, 0x6b, 0x50, 0x3f, 0x00})
-
-var p521G, _ = NewP521Point().SetBytes([]byte{0x04,
- 0x00, 0xc6, 0x85, 0x8e, 0x06, 0xb7, 0x04, 0x04, 0xe9, 0xcd, 0x9e, 0x3e,
- 0xcb, 0x66, 0x23, 0x95, 0xb4, 0x42, 0x9c, 0x64, 0x81, 0x39, 0x05, 0x3f,
- 0xb5, 0x21, 0xf8, 0x28, 0xaf, 0x60, 0x6b, 0x4d, 0x3d, 0xba, 0xa1, 0x4b,
- 0x5e, 0x77, 0xef, 0xe7, 0x59, 0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff,
- 0xa8, 0xde, 0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a, 0x42, 0x9b, 0xf9, 0x7e,
- 0x7e, 0x31, 0xc2, 0xe5, 0xbd, 0x66, 0x01, 0x18, 0x39, 0x29, 0x6a, 0x78,
- 0x9a, 0x3b, 0xc0, 0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9,
- 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17,
- 0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4, 0x26, 0x40,
- 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, 0x07, 0x61, 0x35, 0x3c, 0x70, 0x86,
- 0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50})
+var p521B, _ = new(fiat.P521Element).SetBytes([]byte{0x0, 0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c, 0x9a, 0x1f, 0x92, 0x9a, 0x21, 0xa0, 0xb6, 0x85, 0x40, 0xee, 0xa2, 0xda, 0x72, 0x5b, 0x99, 0xb3, 0x15, 0xf3, 0xb8, 0xb4, 0x89, 0x91, 0x8e, 0xf1, 0x9, 0xe1, 0x56, 0x19, 0x39, 0x51, 0xec, 0x7e, 0x93, 0x7b, 0x16, 0x52, 0xc0, 0xbd, 0x3b, 0xb1, 0xbf, 0x7, 0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c, 0x34, 0xf1, 0xef, 0x45, 0x1f, 0xd4, 0x6b, 0x50, 0x3f, 0x0})
+
+var p521G, _ = NewP521Point().SetBytes([]byte{0x4, 0x0, 0xc6, 0x85, 0x8e, 0x6, 0xb7, 0x4, 0x4, 0xe9, 0xcd, 0x9e, 0x3e, 0xcb, 0x66, 0x23, 0x95, 0xb4, 0x42, 0x9c, 0x64, 0x81, 0x39, 0x5, 0x3f, 0xb5, 0x21, 0xf8, 0x28, 0xaf, 0x60, 0x6b, 0x4d, 0x3d, 0xba, 0xa1, 0x4b, 0x5e, 0x77, 0xef, 0xe7, 0x59, 0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff, 0xa8, 0xde, 0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a, 0x42, 0x9b, 0xf9, 0x7e, 0x7e, 0x31, 0xc2, 0xe5, 0xbd, 0x66, 0x1, 0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b, 0xc0, 0x4, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9, 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, 0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4, 0x26, 0x40, 0xc5, 0x50, 0xb9, 0x1, 0x3f, 0xad, 0x7, 0x61, 0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50})
const p521ElementLength = 66
-// P521Point is a P-521 point. The zero value is NOT valid.
+// P521Point is a P521 point. The zero value is NOT valid.
type P521Point struct {
// The point is represented in projective coordinates (X:Y:Z),
// where x = X/Z and y = Y/Z.