ed2curve-esm
Version:
ESM version of dchest/ed2curve Convert Ed25519 signing keys into Curve25519 Diffie-Hellman keys.
265 lines (209 loc) • 5.18 kB
JavaScript
/*
* ed2curve: convert Ed25519 signing key pair into Curve25519
* key pair suitable for Diffie-Hellman key exchange.
*
* Written by Dmitry Chestnykh in 2014. Public domain.
* Adapted to ESM by Pelle Braendgaard
*/
import nacl from 'tweetnacl'; // -- Operations copied from TweetNaCl.js. --
var gf = function (init) {
var i,
r = new Float64Array(16);
if (init) for (i = 0; i < init.length; i++) r[i] = init[i];
return r;
};
var gf0 = gf(),
gf1 = gf([1]),
D = gf([0x78a3, 0x1359, 0x4dca, 0x75eb, 0xd8ab, 0x4141, 0x0a4d, 0x0070, 0xe898, 0x7779, 0x4079, 0x8cc7, 0xfe73, 0x2b6f, 0x6cee, 0x5203]),
I = gf([0xa0b0, 0x4a0e, 0x1b27, 0xc4ee, 0xe478, 0xad2f, 0x1806, 0x2f43, 0xd7a7, 0x3dfb, 0x0099, 0x2b4d, 0xdf0b, 0x4fc1, 0x2480, 0x2b83]);
function car25519(o) {
var c;
var i;
for (i = 0; i < 16; i++) {
o[i] += 65536;
c = Math.floor(o[i] / 65536);
o[(i + 1) * (i < 15 ? 1 : 0)] += c - 1 + 37 * (c - 1) * (i === 15 ? 1 : 0);
o[i] -= c * 65536;
}
}
function sel25519(p, q, b) {
var t,
c = ~(b - 1);
for (var i = 0; i < 16; i++) {
t = c & (p[i] ^ q[i]);
p[i] ^= t;
q[i] ^= t;
}
}
function unpack25519(o, n) {
var i;
for (i = 0; i < 16; i++) o[i] = n[2 * i] + (n[2 * i + 1] << 8);
o[15] &= 0x7fff;
} // addition
function A(o, a, b) {
var i;
for (i = 0; i < 16; i++) o[i] = a[i] + b[i] | 0;
} // subtraction
function Z(o, a, b) {
var i;
for (i = 0; i < 16; i++) o[i] = a[i] - b[i] | 0;
} // multiplication
function M(o, a, b) {
var i,
j,
t = new Float64Array(31);
for (i = 0; i < 31; i++) t[i] = 0;
for (i = 0; i < 16; i++) {
for (j = 0; j < 16; j++) {
t[i + j] += a[i] * b[j];
}
}
for (i = 0; i < 15; i++) {
t[i] += 38 * t[i + 16];
}
for (i = 0; i < 16; i++) o[i] = t[i];
car25519(o);
car25519(o);
} // squaring
function S(o, a) {
M(o, a, a);
} // inversion
function inv25519(o, i) {
var c = gf();
var a;
for (a = 0; a < 16; a++) c[a] = i[a];
for (a = 253; a >= 0; a--) {
S(c, c);
if (a !== 2 && a !== 4) M(c, c, i);
}
for (a = 0; a < 16; a++) o[a] = c[a];
}
function pack25519(o, n) {
var i, j, b;
var m = gf(),
t = gf();
for (i = 0; i < 16; i++) t[i] = n[i];
car25519(t);
car25519(t);
car25519(t);
for (j = 0; j < 2; j++) {
m[0] = t[0] - 0xffed;
for (i = 1; i < 15; i++) {
m[i] = t[i] - 0xffff - (m[i - 1] >> 16 & 1);
m[i - 1] &= 0xffff;
}
m[15] = t[15] - 0x7fff - (m[14] >> 16 & 1);
b = m[15] >> 16 & 1;
m[14] &= 0xffff;
sel25519(t, m, 1 - b);
}
for (i = 0; i < 16; i++) {
o[2 * i] = t[i] & 0xff;
o[2 * i + 1] = t[i] >> 8;
}
}
function par25519(a) {
var d = new Uint8Array(32);
pack25519(d, a);
return d[0] & 1;
}
function vn(x, xi, y, yi, n) {
var i,
d = 0;
for (i = 0; i < n; i++) d |= x[xi + i] ^ y[yi + i];
return (1 & d - 1 >>> 8) - 1;
}
function crypto_verify_32(x, xi, y, yi) {
return vn(x, xi, y, yi, 32);
}
function neq25519(a, b) {
var c = new Uint8Array(32),
d = new Uint8Array(32);
pack25519(c, a);
pack25519(d, b);
return crypto_verify_32(c, 0, d, 0);
}
function pow2523(o, i) {
var c = gf();
var a;
for (a = 0; a < 16; a++) c[a] = i[a];
for (a = 250; a >= 0; a--) {
S(c, c);
if (a !== 1) M(c, c, i);
}
for (a = 0; a < 16; a++) o[a] = c[a];
}
function set25519(r, a) {
var i;
for (i = 0; i < 16; i++) r[i] = a[i] | 0;
}
function unpackneg(r, p) {
var t = gf(),
chk = gf(),
num = gf(),
den = gf(),
den2 = gf(),
den4 = gf(),
den6 = gf();
set25519(r[2], gf1);
unpack25519(r[1], p);
S(num, r[1]);
M(den, num, D);
Z(num, num, r[2]);
A(den, r[2], den);
S(den2, den);
S(den4, den2);
M(den6, den4, den2);
M(t, den6, num);
M(t, t, den);
pow2523(t, t);
M(t, t, num);
M(t, t, den);
M(t, t, den);
M(r[0], t, den);
S(chk, r[0]);
M(chk, chk, den);
if (neq25519(chk, num)) M(r[0], r[0], I);
S(chk, r[0]);
M(chk, chk, den);
if (neq25519(chk, num)) return -1;
if (par25519(r[0]) === p[31] >> 7) Z(r[0], gf0, r[0]);
M(r[3], r[0], r[1]);
return 0;
} // ----
// Converts Ed25519 public key to Curve25519 public key.
// montgomeryX = (edwardsY + 1)*inverse(1 - edwardsY) mod p
export function convertPublicKey(pk) {
var z = new Uint8Array(32),
q = [gf(), gf(), gf(), gf()],
a = gf(),
b = gf();
if (unpackneg(q, pk)) return null; // reject invalid key
var y = q[1];
A(a, gf1, y);
Z(b, gf1, y);
inv25519(b, b);
M(a, a, b);
pack25519(z, a);
return z;
} // Converts Ed25519 secret key to Curve25519 secret key.
export function convertSecretKey(sk) {
var d = new Uint8Array(64),
o = new Uint8Array(32),
i;
nacl.lowlevel.crypto_hash(d, sk, 32);
d[0] &= 248;
d[31] &= 127;
d[31] |= 64;
for (i = 0; i < 32; i++) o[i] = d[i];
for (i = 0; i < 64; i++) d[i] = 0;
return o;
}
export function convertKeyPair(edKeyPair) {
var publicKey = convertPublicKey(edKeyPair.publicKey);
if (!publicKey) return null;
return {
publicKey: publicKey,
secretKey: convertSecretKey(edKeyPair.secretKey)
};
}