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1x | import * as nacl from 'tweetnacl';
const gf = function(init?: any) {
let i, r = new Float64Array(16);
if (init) for (i = 0; i < init.length; i++) r[i] = init[i];
return r;
};
const 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: Float64Array | Uint8Array) {
let c;
let 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: Float64Array | Uint8Array, q: Float64Array | Uint8Array, b: number) {
let t, c = ~(b-1);
for (let i = 0; i < 16; i++) {
t = c & (p[i] ^ q[i]);
p[i] ^= t;
q[i] ^= t;
}
}
function unpack25519(o: Uint8Array, n: Uint8Array) {
let i;
for (i = 0; i < 16; i++) o[i] = n[2*i] + (n[2*i+1] << 8);
o[15] &= 0x7fff;
}
// addition
function A(o: Float64Array | Uint8Array, a: any[] | Float64Array, b: any[] | Float64Array) {
let i;
for (i = 0; i < 16; i++) o[i] = (a[i] + b[i])|0;
}
// subtraction
function Z(o: Float64Array | Uint8Array, a: Float64Array | Uint8Array, b: Float64Array | Uint8Array) {
let i;
for (i = 0; i < 16; i++) o[i] = (a[i] - b[i])|0;
}
// multiplication
function M(o: Float64Array | Uint8Array, a: Float64Array | Uint8Array, b: Float64Array | Uint8Array) {
let 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: Float64Array, a: Float64Array) {
M(o, a, a);
}
// inversion
function inv25519(o: Float64Array | Uint8Array, i: Float64Array | Uint8Array) {
let c = gf();
let 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: Uint8Array | Uint8Array, n: Float64Array | Uint8Array) {
let i, j, b;
let 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: any) {
let d = new Uint8Array(32);
pack25519(d, a);
return d[0] & 1;
}
function vn(x: Uint8Array, xi: number, y: Uint8Array, yi: number, n: number) {
let 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: Uint8Array, xi: number, y: Uint8Array, yi: number) {
return vn(x, xi, y, yi, 32);
}
function neq25519(a: Float64Array, b: Float64Array) {
const 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: Float64Array | Uint8Array, i: Float64Array | Uint8Array) {
const c = gf();
let 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: Uint8Array, a: Float64Array | Uint8Array) {
let i;
for (i = 0; i < 16; i++) r[i] = a[i] | 0;
}
function unpackneg(r: any[], p: Uint8Array) {
const 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);
Iif (neq25519(chk, num)) M(r[0], r[0], I);
S(chk, r[0]);
M(chk, chk, den);
Iif (neq25519(chk, num)) return -1;
Eif (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
const convertPublicKey = function(pk: Uint8Array): Uint8Array | null {
const z = new Uint8Array(32),
q = [gf(), gf(), gf(), gf()],
a = gf(), b = gf();
Iif (unpackneg(q, pk)) return null; // reject invalid key
let 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.
const convertSecretKey = function(sk: Uint8Array): Uint8Array {
let i;
const o = new Uint8Array(32);
// const d = new Uint8Array(32);
const d = nacl.hash(sk);
//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;
};
const convertKeyPair = function(edKeyPair: { publicKey: Uint8Array; secretKey: Uint8Array; }): { publicKey: Uint8Array; secretKey: Uint8Array; } | null {
let publicKey = convertPublicKey(edKeyPair.publicKey);
if (!publicKey) return null;
return {
publicKey: publicKey,
secretKey: convertSecretKey(edKeyPair.secretKey)
};
};
const ed2curve = {
convertPublicKey,
convertSecretKey,
convertKeyPair,
}
export default ed2curve; |