// Copyright (c) 2014-2015 Conformal Systems LLC. // Use of this source code is governed by an ISC // license that can be found in the LICENSE file. // This file is ignored during the regular build due to the following build tag. // This build tag is set during go generate. // +build gensecp256k1 package btcec import "encoding/binary" // secp256k1BytePoints are dummy points used so the code which generates the // real values can compile. var secp256k1BytePoints = []byte{} // getDoublingPoints returns all the possible G^(2^i) for i in // 0..n-1 where n is the curve's bit size (256 in the case of secp256k1) // the coordinates are recorded as Jacobian coordinates. func (curve *KoblitzCurve) getDoublingPoints() [][3]fieldVal { doublingPoints := make([][3]fieldVal, curve.BitSize) // initialize px, py, pz to the Jacobian coordinates for the base point px, py := curve.bigAffineToField(curve.Gx, curve.Gy) pz := new(fieldVal).SetInt(1) for i := 0; i < bitSize; i++ { doublingPoints[i] = [3]fieldVal{*px, *py, *pz} // P = 2*P curve.doubleJacobian(px, py, pz, px, py, pz) } return doublingPoints } // SerializedBytePoints returns a serialized byte slice which contains all of // the possible points per 8-bit window. This is used to when generating // secp256k1.go. func (curve *KoblitzCurve) SerializedBytePoints() []byte { byteSize := curve.BitSize / 8 doublingPoints := curve.getDoublingPoints() // Segregate the bits into byte-sized windows serialized := make([]byte, byteSize*256*3*10*4) offset := 0 for byteNum := 0; byteNum < byteSize; byteNum++ { // Grab the 8 bits that make up this byte from doublingPoints. startingBit := 8 * (byteSize - byteNum - 1) computingPoints := doublingPoints[startingBit : startingBit+8] // Compute all points in this window and serialize them. for i := 0; i < 256; i++ { px, py, pz := new(fieldVal), new(fieldVal), new(fieldVal) for j := 0; j < 8; j++ { if i>>uint(j)&1 == 1 { curve.addJacobian(px, py, pz, &computingPoints[j][0], &computingPoints[j][1], &computingPoints[j][2], px, py, pz) } } for i := 0; i < 10; i++ { binary.LittleEndian.PutUint32(serialized[offset:], px.n[i]) offset += 4 } for i := 0; i < 10; i++ { binary.LittleEndian.PutUint32(serialized[offset:], py.n[i]) offset += 4 } for i := 0; i < 10; i++ { binary.LittleEndian.PutUint32(serialized[offset:], pz.n[i]) offset += 4 } } } return serialized }