diff options
Diffstat (limited to 'vendor/github.com/miekg/dns/vendor/golang.org/x/crypto/bn256/bn256.go')
| -rw-r--r-- | vendor/github.com/miekg/dns/vendor/golang.org/x/crypto/bn256/bn256.go | 404 |
1 files changed, 0 insertions, 404 deletions
diff --git a/vendor/github.com/miekg/dns/vendor/golang.org/x/crypto/bn256/bn256.go b/vendor/github.com/miekg/dns/vendor/golang.org/x/crypto/bn256/bn256.go deleted file mode 100644 index 014f8b355..000000000 --- a/vendor/github.com/miekg/dns/vendor/golang.org/x/crypto/bn256/bn256.go +++ /dev/null @@ -1,404 +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 bn256 implements a particular bilinear group at the 128-bit security level. -// -// Bilinear groups are the basis of many of the new cryptographic protocols -// that have been proposed over the past decade. They consist of a triplet of -// groups (G₁, G₂ and GT) such that there exists a function e(g₁ˣ,g₂ʸ)=gTˣʸ -// (where gₓ is a generator of the respective group). That function is called -// a pairing function. -// -// This package specifically implements the Optimal Ate pairing over a 256-bit -// Barreto-Naehrig curve as described in -// http://cryptojedi.org/papers/dclxvi-20100714.pdf. Its output is compatible -// with the implementation described in that paper. -package bn256 // import "golang.org/x/crypto/bn256" - -import ( - "crypto/rand" - "io" - "math/big" -) - -// BUG(agl): this implementation is not constant time. -// TODO(agl): keep GF(p²) elements in Mongomery form. - -// G1 is an abstract cyclic group. The zero value is suitable for use as the -// output of an operation, but cannot be used as an input. -type G1 struct { - p *curvePoint -} - -// RandomG1 returns x and g₁ˣ where x is a random, non-zero number read from r. -func RandomG1(r io.Reader) (*big.Int, *G1, error) { - var k *big.Int - var err error - - for { - k, err = rand.Int(r, Order) - if err != nil { - return nil, nil, err - } - if k.Sign() > 0 { - break - } - } - - return k, new(G1).ScalarBaseMult(k), nil -} - -func (g *G1) String() string { - return "bn256.G1" + g.p.String() -} - -// ScalarBaseMult sets e to g*k where g is the generator of the group and -// then returns e. -func (e *G1) ScalarBaseMult(k *big.Int) *G1 { - if e.p == nil { - e.p = newCurvePoint(nil) - } - e.p.Mul(curveGen, k, new(bnPool)) - return e -} - -// ScalarMult sets e to a*k and then returns e. -func (e *G1) ScalarMult(a *G1, k *big.Int) *G1 { - if e.p == nil { - e.p = newCurvePoint(nil) - } - e.p.Mul(a.p, k, new(bnPool)) - return e -} - -// Add sets e to a+b and then returns e. -// BUG(agl): this function is not complete: a==b fails. -func (e *G1) Add(a, b *G1) *G1 { - if e.p == nil { - e.p = newCurvePoint(nil) - } - e.p.Add(a.p, b.p, new(bnPool)) - return e -} - -// Neg sets e to -a and then returns e. -func (e *G1) Neg(a *G1) *G1 { - if e.p == nil { - e.p = newCurvePoint(nil) - } - e.p.Negative(a.p) - return e -} - -// Marshal converts n to a byte slice. -func (n *G1) Marshal() []byte { - n.p.MakeAffine(nil) - - xBytes := new(big.Int).Mod(n.p.x, p).Bytes() - yBytes := new(big.Int).Mod(n.p.y, p).Bytes() - - // Each value is a 256-bit number. - const numBytes = 256 / 8 - - ret := make([]byte, numBytes*2) - copy(ret[1*numBytes-len(xBytes):], xBytes) - copy(ret[2*numBytes-len(yBytes):], yBytes) - - return ret -} - -// Unmarshal sets e to the result of converting the output of Marshal back into -// a group element and then returns e. -func (e *G1) Unmarshal(m []byte) (*G1, bool) { - // Each value is a 256-bit number. - const numBytes = 256 / 8 - - if len(m) != 2*numBytes { - return nil, false - } - - if e.p == nil { - e.p = newCurvePoint(nil) - } - - e.p.x.SetBytes(m[0*numBytes : 1*numBytes]) - e.p.y.SetBytes(m[1*numBytes : 2*numBytes]) - - if e.p.x.Sign() == 0 && e.p.y.Sign() == 0 { - // This is the point at infinity. - e.p.y.SetInt64(1) - e.p.z.SetInt64(0) - e.p.t.SetInt64(0) - } else { - e.p.z.SetInt64(1) - e.p.t.SetInt64(1) - - if !e.p.IsOnCurve() { - return nil, false - } - } - - return e, true -} - -// G2 is an abstract cyclic group. The zero value is suitable for use as the -// output of an operation, but cannot be used as an input. -type G2 struct { - p *twistPoint -} - -// RandomG1 returns x and g₂ˣ where x is a random, non-zero number read from r. -func RandomG2(r io.Reader) (*big.Int, *G2, error) { - var k *big.Int - var err error - - for { - k, err = rand.Int(r, Order) - if err != nil { - return nil, nil, err - } - if k.Sign() > 0 { - break - } - } - - return k, new(G2).ScalarBaseMult(k), nil -} - -func (g *G2) String() string { - return "bn256.G2" + g.p.String() -} - -// ScalarBaseMult sets e to g*k where g is the generator of the group and -// then returns out. -func (e *G2) ScalarBaseMult(k *big.Int) *G2 { - if e.p == nil { - e.p = newTwistPoint(nil) - } - e.p.Mul(twistGen, k, new(bnPool)) - return e -} - -// ScalarMult sets e to a*k and then returns e. -func (e *G2) ScalarMult(a *G2, k *big.Int) *G2 { - if e.p == nil { - e.p = newTwistPoint(nil) - } - e.p.Mul(a.p, k, new(bnPool)) - return e -} - -// Add sets e to a+b and then returns e. -// BUG(agl): this function is not complete: a==b fails. -func (e *G2) Add(a, b *G2) *G2 { - if e.p == nil { - e.p = newTwistPoint(nil) - } - e.p.Add(a.p, b.p, new(bnPool)) - return e -} - -// Marshal converts n into a byte slice. -func (n *G2) Marshal() []byte { - n.p.MakeAffine(nil) - - xxBytes := new(big.Int).Mod(n.p.x.x, p).Bytes() - xyBytes := new(big.Int).Mod(n.p.x.y, p).Bytes() - yxBytes := new(big.Int).Mod(n.p.y.x, p).Bytes() - yyBytes := new(big.Int).Mod(n.p.y.y, p).Bytes() - - // Each value is a 256-bit number. - const numBytes = 256 / 8 - - ret := make([]byte, numBytes*4) - copy(ret[1*numBytes-len(xxBytes):], xxBytes) - copy(ret[2*numBytes-len(xyBytes):], xyBytes) - copy(ret[3*numBytes-len(yxBytes):], yxBytes) - copy(ret[4*numBytes-len(yyBytes):], yyBytes) - - return ret -} - -// Unmarshal sets e to the result of converting the output of Marshal back into -// a group element and then returns e. -func (e *G2) Unmarshal(m []byte) (*G2, bool) { - // Each value is a 256-bit number. - const numBytes = 256 / 8 - - if len(m) != 4*numBytes { - return nil, false - } - - if e.p == nil { - e.p = newTwistPoint(nil) - } - - e.p.x.x.SetBytes(m[0*numBytes : 1*numBytes]) - e.p.x.y.SetBytes(m[1*numBytes : 2*numBytes]) - e.p.y.x.SetBytes(m[2*numBytes : 3*numBytes]) - e.p.y.y.SetBytes(m[3*numBytes : 4*numBytes]) - - if e.p.x.x.Sign() == 0 && - e.p.x.y.Sign() == 0 && - e.p.y.x.Sign() == 0 && - e.p.y.y.Sign() == 0 { - // This is the point at infinity. - e.p.y.SetOne() - e.p.z.SetZero() - e.p.t.SetZero() - } else { - e.p.z.SetOne() - e.p.t.SetOne() - - if !e.p.IsOnCurve() { - return nil, false - } - } - - return e, true -} - -// GT is an abstract cyclic group. The zero value is suitable for use as the -// output of an operation, but cannot be used as an input. -type GT struct { - p *gfP12 -} - -func (g *GT) String() string { - return "bn256.GT" + g.p.String() -} - -// ScalarMult sets e to a*k and then returns e. -func (e *GT) ScalarMult(a *GT, k *big.Int) *GT { - if e.p == nil { - e.p = newGFp12(nil) - } - e.p.Exp(a.p, k, new(bnPool)) - return e -} - -// Add sets e to a+b and then returns e. -func (e *GT) Add(a, b *GT) *GT { - if e.p == nil { - e.p = newGFp12(nil) - } - e.p.Mul(a.p, b.p, new(bnPool)) - return e -} - -// Neg sets e to -a and then returns e. -func (e *GT) Neg(a *GT) *GT { - if e.p == nil { - e.p = newGFp12(nil) - } - e.p.Invert(a.p, new(bnPool)) - return e -} - -// Marshal converts n into a byte slice. -func (n *GT) Marshal() []byte { - n.p.Minimal() - - xxxBytes := n.p.x.x.x.Bytes() - xxyBytes := n.p.x.x.y.Bytes() - xyxBytes := n.p.x.y.x.Bytes() - xyyBytes := n.p.x.y.y.Bytes() - xzxBytes := n.p.x.z.x.Bytes() - xzyBytes := n.p.x.z.y.Bytes() - yxxBytes := n.p.y.x.x.Bytes() - yxyBytes := n.p.y.x.y.Bytes() - yyxBytes := n.p.y.y.x.Bytes() - yyyBytes := n.p.y.y.y.Bytes() - yzxBytes := n.p.y.z.x.Bytes() - yzyBytes := n.p.y.z.y.Bytes() - - // Each value is a 256-bit number. - const numBytes = 256 / 8 - - ret := make([]byte, numBytes*12) - copy(ret[1*numBytes-len(xxxBytes):], xxxBytes) - copy(ret[2*numBytes-len(xxyBytes):], xxyBytes) - copy(ret[3*numBytes-len(xyxBytes):], xyxBytes) - copy(ret[4*numBytes-len(xyyBytes):], xyyBytes) - copy(ret[5*numBytes-len(xzxBytes):], xzxBytes) - copy(ret[6*numBytes-len(xzyBytes):], xzyBytes) - copy(ret[7*numBytes-len(yxxBytes):], yxxBytes) - copy(ret[8*numBytes-len(yxyBytes):], yxyBytes) - copy(ret[9*numBytes-len(yyxBytes):], yyxBytes) - copy(ret[10*numBytes-len(yyyBytes):], yyyBytes) - copy(ret[11*numBytes-len(yzxBytes):], yzxBytes) - copy(ret[12*numBytes-len(yzyBytes):], yzyBytes) - - return ret -} - -// Unmarshal sets e to the result of converting the output of Marshal back into -// a group element and then returns e. -func (e *GT) Unmarshal(m []byte) (*GT, bool) { - // Each value is a 256-bit number. - const numBytes = 256 / 8 - - if len(m) != 12*numBytes { - return nil, false - } - - if e.p == nil { - e.p = newGFp12(nil) - } - - e.p.x.x.x.SetBytes(m[0*numBytes : 1*numBytes]) - e.p.x.x.y.SetBytes(m[1*numBytes : 2*numBytes]) - e.p.x.y.x.SetBytes(m[2*numBytes : 3*numBytes]) - e.p.x.y.y.SetBytes(m[3*numBytes : 4*numBytes]) - e.p.x.z.x.SetBytes(m[4*numBytes : 5*numBytes]) - e.p.x.z.y.SetBytes(m[5*numBytes : 6*numBytes]) - e.p.y.x.x.SetBytes(m[6*numBytes : 7*numBytes]) - e.p.y.x.y.SetBytes(m[7*numBytes : 8*numBytes]) - e.p.y.y.x.SetBytes(m[8*numBytes : 9*numBytes]) - e.p.y.y.y.SetBytes(m[9*numBytes : 10*numBytes]) - e.p.y.z.x.SetBytes(m[10*numBytes : 11*numBytes]) - e.p.y.z.y.SetBytes(m[11*numBytes : 12*numBytes]) - - return e, true -} - -// Pair calculates an Optimal Ate pairing. -func Pair(g1 *G1, g2 *G2) *GT { - return >{optimalAte(g2.p, g1.p, new(bnPool))} -} - -// bnPool implements a tiny cache of *big.Int objects that's used to reduce the -// number of allocations made during processing. -type bnPool struct { - bns []*big.Int - count int -} - -func (pool *bnPool) Get() *big.Int { - if pool == nil { - return new(big.Int) - } - - pool.count++ - l := len(pool.bns) - if l == 0 { - return new(big.Int) - } - - bn := pool.bns[l-1] - pool.bns = pool.bns[:l-1] - return bn -} - -func (pool *bnPool) Put(bn *big.Int) { - if pool == nil { - return - } - pool.bns = append(pool.bns, bn) - pool.count-- -} - -func (pool *bnPool) Count() int { - return pool.count -} |