(function(nacl) { 'use strict'; // Ported in 2014 by Dmitry Chestnykh and Devi Mandiri. // Public domain. // // Implementation derived from TweetNaCl version 20140427. // See for details: http://tweetnacl.cr.yp.to/ // modified 2017 for some CN functions by luigi1111 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; }; // Pluggable, initialized in high-level API below. var randombytes = function(/* x, n */) { throw new Error('no PRNG'); }; var _0 = new Uint8Array(16); var _9 = new Uint8Array(32); _9[0] = 9; var gf0 = gf(), gf1 = gf([1]), _121665 = gf([0xdb41, 1]), D = gf([0x78a3, 0x1359, 0x4dca, 0x75eb, 0xd8ab, 0x4141, 0x0a4d, 0x0070, 0xe898, 0x7779, 0x4079, 0x8cc7, 0xfe73, 0x2b6f, 0x6cee, 0x5203]), D2 = gf([0xf159, 0x26b2, 0x9b94, 0xebd6, 0xb156, 0x8283, 0x149a, 0x00e0, 0xd130, 0xeef3, 0x80f2, 0x198e, 0xfce7, 0x56df, 0xd9dc, 0x2406]), X = gf([0xd51a, 0x8f25, 0x2d60, 0xc956, 0xa7b2, 0x9525, 0xc760, 0x692c, 0xdc5c, 0xfdd6, 0xe231, 0xc0a4, 0x53fe, 0xcd6e, 0x36d3, 0x2169]), Y = gf([0x6658, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666]), I = gf([0xa0b0, 0x4a0e, 0x1b27, 0xc4ee, 0xe478, 0xad2f, 0x1806, 0x2f43, 0xd7a7, 0x3dfb, 0x0099, 0x2b4d, 0xdf0b, 0x4fc1, 0x2480, 0x2b83]); 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_16(x, xi, y, yi) { return vn(x,xi,y,yi,16); } function crypto_verify_32(x, xi, y, yi) { return vn(x,xi,y,yi,32); } function set25519(r, a) { var i; for (i = 0; i < 16; i++) r[i] = a[i]|0; } function car25519(o) { var i, v, c = 1; for (i = 0; i < 16; i++) { v = o[i] + c + 65535; c = Math.floor(v / 65536); o[i] = v - c * 65536; } o[0] += c-1 + 37 * (c-1); } 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 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 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 par25519(a) { var d = new Uint8Array(32); pack25519(d, a); return d[0] & 1; } 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; } function A(o, a, b) { for (var i = 0; i < 16; i++) o[i] = a[i] + b[i]; } function Z(o, a, b) { for (var i = 0; i < 16; i++) o[i] = a[i] - b[i]; } function M(o, a, b) { var v, c, t0 = 0, t1 = 0, t2 = 0, t3 = 0, t4 = 0, t5 = 0, t6 = 0, t7 = 0, t8 = 0, t9 = 0, t10 = 0, t11 = 0, t12 = 0, t13 = 0, t14 = 0, t15 = 0, t16 = 0, t17 = 0, t18 = 0, t19 = 0, t20 = 0, t21 = 0, t22 = 0, t23 = 0, t24 = 0, t25 = 0, t26 = 0, t27 = 0, t28 = 0, t29 = 0, t30 = 0, b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3], b4 = b[4], b5 = b[5], b6 = b[6], b7 = b[7], b8 = b[8], b9 = b[9], b10 = b[10], b11 = b[11], b12 = b[12], b13 = b[13], b14 = b[14], b15 = b[15]; v = a[0]; t0 += v * b0; t1 += v * b1; t2 += v * b2; t3 += v * b3; t4 += v * b4; t5 += v * b5; t6 += v * b6; t7 += v * b7; t8 += v * b8; t9 += v * b9; t10 += v * b10; t11 += v * b11; t12 += v * b12; t13 += v * b13; t14 += v * b14; t15 += v * b15; v = a[1]; t1 += v * b0; t2 += v * b1; t3 += v * b2; t4 += v * b3; t5 += v * b4; t6 += v * b5; t7 += v * b6; t8 += v * b7; t9 += v * b8; t10 += v * b9; t11 += v * b10; t12 += v * b11; t13 += v * b12; t14 += v * b13; t15 += v * b14; t16 += v * b15; v = a[2]; t2 += v * b0; t3 += v * b1; t4 += v * b2; t5 += v * b3; t6 += v * b4; t7 += v * b5; t8 += v * b6; t9 += v * b7; t10 += v * b8; t11 += v * b9; t12 += v * b10; t13 += v * b11; t14 += v * b12; t15 += v * b13; t16 += v * b14; t17 += v * b15; v = a[3]; t3 += v * b0; t4 += v * b1; t5 += v * b2; t6 += v * b3; t7 += v * b4; t8 += v * b5; t9 += v * b6; t10 += v * b7; t11 += v * b8; t12 += v * b9; t13 += v * b10; t14 += v * b11; t15 += v * b12; t16 += v * b13; t17 += v * b14; t18 += v * b15; v = a[4]; t4 += v * b0; t5 += v * b1; t6 += v * b2; t7 += v * b3; t8 += v * b4; t9 += v * b5; t10 += v * b6; t11 += v * b7; t12 += v * b8; t13 += v * b9; t14 += v * b10; t15 += v * b11; t16 += v * b12; t17 += v * b13; t18 += v * b14; t19 += v * b15; v = a[5]; t5 += v * b0; t6 += v * b1; t7 += v * b2; t8 += v * b3; t9 += v * b4; t10 += v * b5; t11 += v * b6; t12 += v * b7; t13 += v * b8; t14 += v * b9; t15 += v * b10; t16 += v * b11; t17 += v * b12; t18 += v * b13; t19 += v * b14; t20 += v * b15; v = a[6]; t6 += v * b0; t7 += v * b1; t8 += v * b2; t9 += v * b3; t10 += v * b4; t11 += v * b5; t12 += v * b6; t13 += v * b7; t14 += v * b8; t15 += v * b9; t16 += v * b10; t17 += v * b11; t18 += v * b12; t19 += v * b13; t20 += v * b14; t21 += v * b15; v = a[7]; t7 += v * b0; t8 += v * b1; t9 += v * b2; t10 += v * b3; t11 += v * b4; t12 += v * b5; t13 += v * b6; t14 += v * b7; t15 += v * b8; t16 += v * b9; t17 += v * b10; t18 += v * b11; t19 += v * b12; t20 += v * b13; t21 += v * b14; t22 += v * b15; v = a[8]; t8 += v * b0; t9 += v * b1; t10 += v * b2; t11 += v * b3; t12 += v * b4; t13 += v * b5; t14 += v * b6; t15 += v * b7; t16 += v * b8; t17 += v * b9; t18 += v * b10; t19 += v * b11; t20 += v * b12; t21 += v * b13; t22 += v * b14; t23 += v * b15; v = a[9]; t9 += v * b0; t10 += v * b1; t11 += v * b2; t12 += v * b3; t13 += v * b4; t14 += v * b5; t15 += v * b6; t16 += v * b7; t17 += v * b8; t18 += v * b9; t19 += v * b10; t20 += v * b11; t21 += v * b12; t22 += v * b13; t23 += v * b14; t24 += v * b15; v = a[10]; t10 += v * b0; t11 += v * b1; t12 += v * b2; t13 += v * b3; t14 += v * b4; t15 += v * b5; t16 += v * b6; t17 += v * b7; t18 += v * b8; t19 += v * b9; t20 += v * b10; t21 += v * b11; t22 += v * b12; t23 += v * b13; t24 += v * b14; t25 += v * b15; v = a[11]; t11 += v * b0; t12 += v * b1; t13 += v * b2; t14 += v * b3; t15 += v * b4; t16 += v * b5; t17 += v * b6; t18 += v * b7; t19 += v * b8; t20 += v * b9; t21 += v * b10; t22 += v * b11; t23 += v * b12; t24 += v * b13; t25 += v * b14; t26 += v * b15; v = a[12]; t12 += v * b0; t13 += v * b1; t14 += v * b2; t15 += v * b3; t16 += v * b4; t17 += v * b5; t18 += v * b6; t19 += v * b7; t20 += v * b8; t21 += v * b9; t22 += v * b10; t23 += v * b11; t24 += v * b12; t25 += v * b13; t26 += v * b14; t27 += v * b15; v = a[13]; t13 += v * b0; t14 += v * b1; t15 += v * b2; t16 += v * b3; t17 += v * b4; t18 += v * b5; t19 += v * b6; t20 += v * b7; t21 += v * b8; t22 += v * b9; t23 += v * b10; t24 += v * b11; t25 += v * b12; t26 += v * b13; t27 += v * b14; t28 += v * b15; v = a[14]; t14 += v * b0; t15 += v * b1; t16 += v * b2; t17 += v * b3; t18 += v * b4; t19 += v * b5; t20 += v * b6; t21 += v * b7; t22 += v * b8; t23 += v * b9; t24 += v * b10; t25 += v * b11; t26 += v * b12; t27 += v * b13; t28 += v * b14; t29 += v * b15; v = a[15]; t15 += v * b0; t16 += v * b1; t17 += v * b2; t18 += v * b3; t19 += v * b4; t20 += v * b5; t21 += v * b6; t22 += v * b7; t23 += v * b8; t24 += v * b9; t25 += v * b10; t26 += v * b11; t27 += v * b12; t28 += v * b13; t29 += v * b14; t30 += v * b15; t0 += 38 * t16; t1 += 38 * t17; t2 += 38 * t18; t3 += 38 * t19; t4 += 38 * t20; t5 += 38 * t21; t6 += 38 * t22; t7 += 38 * t23; t8 += 38 * t24; t9 += 38 * t25; t10 += 38 * t26; t11 += 38 * t27; t12 += 38 * t28; t13 += 38 * t29; t14 += 38 * t30; // t15 left as is // first car c = 1; v = t0 + c + 65535; c = Math.floor(v / 65536); t0 = v - c * 65536; v = t1 + c + 65535; c = Math.floor(v / 65536); t1 = v - c * 65536; v = t2 + c + 65535; c = Math.floor(v / 65536); t2 = v - c * 65536; v = t3 + c + 65535; c = Math.floor(v / 65536); t3 = v - c * 65536; v = t4 + c + 65535; c = Math.floor(v / 65536); t4 = v - c * 65536; v = t5 + c + 65535; c = Math.floor(v / 65536); t5 = v - c * 65536; v = t6 + c + 65535; c = Math.floor(v / 65536); t6 = v - c * 65536; v = t7 + c + 65535; c = Math.floor(v / 65536); t7 = v - c * 65536; v = t8 + c + 65535; c = Math.floor(v / 65536); t8 = v - c * 65536; v = t9 + c + 65535; c = Math.floor(v / 65536); t9 = v - c * 65536; v = t10 + c + 65535; c = Math.floor(v / 65536); t10 = v - c * 65536; v = t11 + c + 65535; c = Math.floor(v / 65536); t11 = v - c * 65536; v = t12 + c + 65535; c = Math.floor(v / 65536); t12 = v - c * 65536; v = t13 + c + 65535; c = Math.floor(v / 65536); t13 = v - c * 65536; v = t14 + c + 65535; c = Math.floor(v / 65536); t14 = v - c * 65536; v = t15 + c + 65535; c = Math.floor(v / 65536); t15 = v - c * 65536; t0 += c-1 + 37 * (c-1); // second car c = 1; v = t0 + c + 65535; c = Math.floor(v / 65536); t0 = v - c * 65536; v = t1 + c + 65535; c = Math.floor(v / 65536); t1 = v - c * 65536; v = t2 + c + 65535; c = Math.floor(v / 65536); t2 = v - c * 65536; v = t3 + c + 65535; c = Math.floor(v / 65536); t3 = v - c * 65536; v = t4 + c + 65535; c = Math.floor(v / 65536); t4 = v - c * 65536; v = t5 + c + 65535; c = Math.floor(v / 65536); t5 = v - c * 65536; v = t6 + c + 65535; c = Math.floor(v / 65536); t6 = v - c * 65536; v = t7 + c + 65535; c = Math.floor(v / 65536); t7 = v - c * 65536; v = t8 + c + 65535; c = Math.floor(v / 65536); t8 = v - c * 65536; v = t9 + c + 65535; c = Math.floor(v / 65536); t9 = v - c * 65536; v = t10 + c + 65535; c = Math.floor(v / 65536); t10 = v - c * 65536; v = t11 + c + 65535; c = Math.floor(v / 65536); t11 = v - c * 65536; v = t12 + c + 65535; c = Math.floor(v / 65536); t12 = v - c * 65536; v = t13 + c + 65535; c = Math.floor(v / 65536); t13 = v - c * 65536; v = t14 + c + 65535; c = Math.floor(v / 65536); t14 = v - c * 65536; v = t15 + c + 65535; c = Math.floor(v / 65536); t15 = v - c * 65536; t0 += c-1 + 37 * (c-1); o[ 0] = t0; o[ 1] = t1; o[ 2] = t2; o[ 3] = t3; o[ 4] = t4; o[ 5] = t5; o[ 6] = t6; o[ 7] = t7; o[ 8] = t8; o[ 9] = t9; o[10] = t10; o[11] = t11; o[12] = t12; o[13] = t13; o[14] = t14; o[15] = t15; } function S(o, a) { M(o, a, a); } 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 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 add(p, q) { var a = gf(), b = gf(), c = gf(), d = gf(), e = gf(), f = gf(), g = gf(), h = gf(), t = gf(); Z(a, p[1], p[0]); Z(t, q[1], q[0]); M(a, a, t); A(b, p[0], p[1]); A(t, q[0], q[1]); M(b, b, t); M(c, p[3], q[3]); M(c, c, D2); M(d, p[2], q[2]); A(d, d, d); Z(e, b, a); Z(f, d, c); A(g, d, c); A(h, b, a); M(p[0], e, f); M(p[1], h, g); M(p[2], g, f); M(p[3], e, h); } function cswap(p, q, b) { var i; for (i = 0; i < 4; i++) { sel25519(p[i], q[i], b); } } function pack(r, p) { var tx = gf(), ty = gf(), zi = gf(); inv25519(zi, p[2]); M(tx, p[0], zi); M(ty, p[1], zi); pack25519(r, ty); r[31] ^= par25519(tx) << 7; } function scalarmult(p, q, s) { var b, i; set25519(p[0], gf0); set25519(p[1], gf1); set25519(p[2], gf1); set25519(p[3], gf0); for (i = 255; i >= 0; --i) { b = (s[(i/8)|0] >> (i&7)) & 1; cswap(p, q, b); add(q, p); add(p, p); cswap(p, q, b); } } function scalarbase(p, s) { var q = [gf(), gf(), gf(), gf()]; set25519(q[0], X); set25519(q[1], Y); set25519(q[2], gf1); M(q[3], X, Y); scalarmult(p, q, s); } //new functions for CN - scalar operations are handled externally // this only handles curve operations, except for Hp() //why do we negate points when unpacking them??? function ge_neg(pub) { pub[31] ^= 0x80; } //res = s*G function ge_scalarmult_base(s) { var p = [gf(), gf(), gf(), gf()]; scalarbase(p, s); var pk = new Uint8Array(32); pack(pk, p); return pk; } //res = s*P function ge_scalarmult(P, s) { var p = [gf(), gf(), gf(), gf()], upk = [gf(), gf(), gf(), gf()], res = new Uint8Array(32); ge_neg(P); if (unpackneg(upk, P) !== 0) throw "non-0 error on point decode"; scalarmult(p, upk, s); pack(res, p); return res; } //res = c*P + r*G function ge_double_scalarmult_base_vartime(c, P, r) { var uP = [gf(), gf(), gf(), gf()], cP = [gf(), gf(), gf(), gf()], rG = [gf(), gf(), gf(), gf()], res = new Uint8Array(32); ge_neg(P); if (unpackneg(uP, P) !== 0) throw "non-0 error on point decode"; scalarmult(cP, uP, c); scalarbase(rG, r); add(rG, cP); pack(res, rG); return res; } //name changed to reflect not using precomp; res = r*Pb + c*I function ge_double_scalarmult_postcomp_vartime(r, Pb, c, I) { var uPb = [gf(), gf(), gf(), gf()], uI = [gf(), gf(), gf(), gf()], cI = [gf(), gf(), gf(), gf()], rPb = [gf(), gf(), gf(), gf()], res = new Uint8Array(32); ge_neg(Pb); if (unpackneg(uPb, Pb) !== 0) throw "non-0 error on point decode"; scalarmult(rPb, uPb, r); ge_neg(I); if (unpackneg(uI, I) !== 0) throw "non-0 error on point decode"; scalarmult(cI, uI, c); add(rPb, cI); pack(res, rPb); return res; } //res = P + Q function ge_add(P, Q) { var uP = [gf(), gf(), gf(), gf()], uQ = [gf(), gf(), gf(), gf()], res = new Uint8Array(32); ge_neg(P); ge_neg(Q); if (unpackneg(uP, P) !== 0) throw "non-0 error on point decode"; if (unpackneg(uQ, Q) !== 0) throw "non-0 error on point decode"; add(uP, uQ); pack(res, uP); return res; } var L = new Float64Array([0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0x10]); function modL(r, x) { var carry, i, j, k; for (i = 63; i >= 32; --i) { carry = 0; for (j = i - 32, k = i - 12; j < k; ++j) { x[j] += carry - 16 * x[i] * L[j - (i - 32)]; carry = (x[j] + 128) >> 8; x[j] -= carry * 256; } x[j] += carry; x[i] = 0; } carry = 0; for (j = 0; j < 32; j++) { x[j] += carry - (x[31] >> 4) * L[j]; carry = x[j] >> 8; x[j] &= 255; } for (j = 0; j < 32; j++) x[j] -= carry * L[j]; for (i = 0; i < 32; i++) { x[i+1] += x[i] >> 8; r[i] = x[i] & 255; } } function reduce(r) { var x = new Float64Array(64), i; for (i = 0; i < 64; i++) x[i] = r[i]; for (i = 0; i < 64; i++) r[i] = 0; modL(r, x); } 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; } nacl.ll = { ge_scalarmult_base: ge_scalarmult_base, ge_scalarmult: ge_scalarmult, ge_double_scalarmult_base_vartime: ge_double_scalarmult_base_vartime, ge_add: ge_add, ge_double_scalarmult_postcomp_vartime: ge_double_scalarmult_postcomp_vartime }; /* High-level API */ function cleanup(arr) { for (var i = 0; i < arr.length; i++) arr[i] = 0; } nacl.randomBytes = function(n) { var b = new Uint8Array(n); randombytes(b, n); return b; }; nacl.setPRNG = function(fn) { randombytes = fn; }; (function() { // Initialize PRNG if environment provides CSPRNG. // If not, methods calling randombytes will throw. var crypto = typeof self !== 'undefined' ? (self.crypto || self.msCrypto) : null; if (crypto && crypto.getRandomValues) { // Browsers. var QUOTA = 65536; nacl.setPRNG(function(x, n) { var i, v = new Uint8Array(n); for (i = 0; i < n; i += QUOTA) { crypto.getRandomValues(v.subarray(i, i + Math.min(n - i, QUOTA))); } for (i = 0; i < n; i++) x[i] = v[i]; cleanup(v); }); } else if (typeof require !== 'undefined') { // Node.js. crypto = require('crypto'); if (crypto && crypto.randomBytes) { nacl.setPRNG(function(x, n) { var i, v = crypto.randomBytes(n); for (i = 0; i < n; i++) x[i] = v[i]; cleanup(v); }); } } })(); })(typeof module !== 'undefined' && module.exports ? module.exports : (self.nacl = self.nacl || {}));