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dendrite/cmd/dendrite-demo-yggdrasil/convert/25519.go

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// Copyright 2019 Google LLC
//
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file or at
// https://developers.google.com/open-source/licenses/bsd
//
// Original code from https://github.com/FiloSottile/age/blob/bbab440e198a4d67ba78591176c7853e62d29e04/internal/age/ssh.go
package convert
import (
"crypto/ed25519"
"crypto/sha512"
"math/big"
"golang.org/x/crypto/curve25519"
)
var curve25519P, _ = new(big.Int).SetString("57896044618658097711785492504343953926634992332820282019728792003956564819949", 10)
func Ed25519PrivateKeyToCurve25519(pk ed25519.PrivateKey) []byte {
h := sha512.New()
_, _ = h.Write(pk.Seed())
out := h.Sum(nil)
return out[:curve25519.ScalarSize]
}
func Ed25519PublicKeyToCurve25519(pk ed25519.PublicKey) []byte {
// ed25519.PublicKey is a little endian representation of the y-coordinate,
// with the most significant bit set based on the sign of the x-coordinate.
bigEndianY := make([]byte, ed25519.PublicKeySize)
for i, b := range pk {
bigEndianY[ed25519.PublicKeySize-i-1] = b
}
bigEndianY[0] &= 0b0111_1111
// The Montgomery u-coordinate is derived through the bilinear map
// u = (1 + y) / (1 - y)
// See https://blog.filippo.io/using-ed25519-keys-for-encryption.
y := new(big.Int).SetBytes(bigEndianY)
denom := big.NewInt(1)
denom.ModInverse(denom.Sub(denom, y), curve25519P) // 1 / (1 - y)
u := y.Mul(y.Add(y, big.NewInt(1)), denom)
u.Mod(u, curve25519P)
out := make([]byte, curve25519.PointSize)
uBytes := u.Bytes()
for i, b := range uBytes {
out[len(uBytes)-i-1] = b
}
return out
}