diff options
Diffstat (limited to 'src/libcryptobox/curve25519/curve25519-donna-c64.c')
-rw-r--r-- | src/libcryptobox/curve25519/curve25519-donna-c64.c | 505 |
1 files changed, 0 insertions, 505 deletions
diff --git a/src/libcryptobox/curve25519/curve25519-donna-c64.c b/src/libcryptobox/curve25519/curve25519-donna-c64.c deleted file mode 100644 index c83b27ecb..000000000 --- a/src/libcryptobox/curve25519/curve25519-donna-c64.c +++ /dev/null @@ -1,505 +0,0 @@ -/* Copyright 2008, Google Inc. - * All rights reserved. - * - * Code released into the public domain. - * - * curve25519-donna: Curve25519 elliptic curve, public key function - * - * http://code.google.com/p/curve25519-donna/ - * - * Adam Langley <agl@imperialviolet.org> - * - * Derived from public domain C code by Daniel J. Bernstein <djb@cr.yp.to> - * - * More information about curve25519 can be found here - * http://cr.yp.to/ecdh.html - * - * djb's sample implementation of curve25519 is written in a special assembly - * language called qhasm and uses the floating point registers. - * - * This is, almost, a clean room reimplementation from the curve25519 paper. It - * uses many of the tricks described therein. Only the crecip function is taken - * from the sample implementation. - */ - -#include <string.h> -#include <stdint.h> -#include "curve25519.h" - -typedef uint8_t u8; -typedef uint64_t limb; -typedef limb felem[5]; -// This is a special gcc mode for 128-bit integers. It's implemented on 64-bit -// platforms only as far as I know. -typedef unsigned uint128_t __attribute__((mode(TI))); - -#undef force_inline -#define force_inline __attribute__((always_inline)) - -/* Sum two numbers: output += in */ -static inline void force_inline -fsum (limb *output, const limb *in) -{ - output[0] += in[0]; - output[1] += in[1]; - output[2] += in[2]; - output[3] += in[3]; - output[4] += in[4]; -} - -/* Find the difference of two numbers: output = in - output - * (note the order of the arguments!) - * - * Assumes that out[i] < 2**52 - * On return, out[i] < 2**55 - */ -static inline void force_inline -fdifference_backwards (felem out, const felem in) -{ - /* 152 is 19 << 3 */ - static const limb two54m152 = (((limb) 1) << 54) - 152; - static const limb two54m8 = (((limb) 1) << 54) - 8; - - out[0] = in[0] + two54m152 - out[0]; - out[1] = in[1] + two54m8 - out[1]; - out[2] = in[2] + two54m8 - out[2]; - out[3] = in[3] + two54m8 - out[3]; - out[4] = in[4] + two54m8 - out[4]; -} - -/* Multiply a number by a scalar: output = in * scalar */ -static inline void force_inline -fscalar_product (felem output, const felem in, const limb scalar) -{ - uint128_t a; - - a = ((uint128_t) in[0]) * scalar; - output[0] = ((limb) a) & 0x7ffffffffffff; - - a = ((uint128_t) in[1]) * scalar + ((limb) (a >> 51)); - output[1] = ((limb) a) & 0x7ffffffffffff; - - a = ((uint128_t) in[2]) * scalar + ((limb) (a >> 51)); - output[2] = ((limb) a) & 0x7ffffffffffff; - - a = ((uint128_t) in[3]) * scalar + ((limb) (a >> 51)); - output[3] = ((limb) a) & 0x7ffffffffffff; - - a = ((uint128_t) in[4]) * scalar + ((limb) (a >> 51)); - output[4] = ((limb) a) & 0x7ffffffffffff; - - output[0] += (a >> 51) * 19; -} - -/* Multiply two numbers: output = in2 * in - * - * output must be distinct to both inputs. The inputs are reduced coefficient - * form, the output is not. - * - * Assumes that in[i] < 2**55 and likewise for in2. - * On return, output[i] < 2**52 - */ -static inline void force_inline -fmul (felem output, const felem in2, const felem in) -{ - uint128_t t[5]; - limb r0, r1, r2, r3, r4, s0, s1, s2, s3, s4, c; - - r0 = in[0]; - r1 = in[1]; - r2 = in[2]; - r3 = in[3]; - r4 = in[4]; - - s0 = in2[0]; - s1 = in2[1]; - s2 = in2[2]; - s3 = in2[3]; - s4 = in2[4]; - - t[0] = ((uint128_t) r0) * s0; - t[1] = ((uint128_t) r0) * s1 + ((uint128_t) r1) * s0; - t[2] = ((uint128_t) r0) * s2 + ((uint128_t) r2) * s0 - + ((uint128_t) r1) * s1; - t[3] = ((uint128_t) r0) * s3 + ((uint128_t) r3) * s0 + ((uint128_t) r1) * s2 - + ((uint128_t) r2) * s1; - t[4] = ((uint128_t) r0) * s4 + ((uint128_t) r4) * s0 + ((uint128_t) r3) * s1 - + ((uint128_t) r1) * s3 + ((uint128_t) r2) * s2; - - r4 *= 19; - r1 *= 19; - r2 *= 19; - r3 *= 19; - - t[0] += ((uint128_t) r4) * s1 + ((uint128_t) r1) * s4 - + ((uint128_t) r2) * s3 + ((uint128_t) r3) * s2; - t[1] += ((uint128_t) r4) * s2 + ((uint128_t) r2) * s4 - + ((uint128_t) r3) * s3; - t[2] += ((uint128_t) r4) * s3 + ((uint128_t) r3) * s4; - t[3] += ((uint128_t) r4) * s4; - - r0 = (limb) t[0] & 0x7ffffffffffff; - c = (limb) (t[0] >> 51); - t[1] += c; - r1 = (limb) t[1] & 0x7ffffffffffff; - c = (limb) (t[1] >> 51); - t[2] += c; - r2 = (limb) t[2] & 0x7ffffffffffff; - c = (limb) (t[2] >> 51); - t[3] += c; - r3 = (limb) t[3] & 0x7ffffffffffff; - c = (limb) (t[3] >> 51); - t[4] += c; - r4 = (limb) t[4] & 0x7ffffffffffff; - c = (limb) (t[4] >> 51); - r0 += c * 19; - c = r0 >> 51; - r0 = r0 & 0x7ffffffffffff; - r1 += c; - c = r1 >> 51; - r1 = r1 & 0x7ffffffffffff; - r2 += c; - - output[0] = r0; - output[1] = r1; - output[2] = r2; - output[3] = r3; - output[4] = r4; -} - -static inline void force_inline -fsquare_times (felem output, const felem in, limb count) -{ - uint128_t t[5]; - limb r0, r1, r2, r3, r4, c; - limb d0, d1, d2, d4, d419; - - r0 = in[0]; - r1 = in[1]; - r2 = in[2]; - r3 = in[3]; - r4 = in[4]; - - do { - d0 = r0 * 2; - d1 = r1 * 2; - d2 = r2 * 2 * 19; - d419 = r4 * 19; - d4 = d419 * 2; - - t[0] = ((uint128_t) r0) * r0 + ((uint128_t) d4) * r1 - + (((uint128_t) d2) * (r3)); - t[1] = ((uint128_t) d0) * r1 + ((uint128_t) d4) * r2 - + (((uint128_t) r3) * (r3 * 19)); - t[2] = ((uint128_t) d0) * r2 + ((uint128_t) r1) * r1 - + (((uint128_t) d4) * (r3)); - t[3] = ((uint128_t) d0) * r3 + ((uint128_t) d1) * r2 - + (((uint128_t) r4) * (d419)); - t[4] = ((uint128_t) d0) * r4 + ((uint128_t) d1) * r3 - + (((uint128_t) r2) * (r2)); - - r0 = (limb) t[0] & 0x7ffffffffffff; - c = (limb) (t[0] >> 51); - t[1] += c; - r1 = (limb) t[1] & 0x7ffffffffffff; - c = (limb) (t[1] >> 51); - t[2] += c; - r2 = (limb) t[2] & 0x7ffffffffffff; - c = (limb) (t[2] >> 51); - t[3] += c; - r3 = (limb) t[3] & 0x7ffffffffffff; - c = (limb) (t[3] >> 51); - t[4] += c; - r4 = (limb) t[4] & 0x7ffffffffffff; - c = (limb) (t[4] >> 51); - r0 += c * 19; - c = r0 >> 51; - r0 = r0 & 0x7ffffffffffff; - r1 += c; - c = r1 >> 51; - r1 = r1 & 0x7ffffffffffff; - r2 += c; - } while (--count); - - output[0] = r0; - output[1] = r1; - output[2] = r2; - output[3] = r3; - output[4] = r4; -} - -/* Load a little-endian 64-bit number */ -static limb load_limb (const u8 *in) -{ - return ((limb) in[0]) | (((limb) in[1]) << 8) | (((limb) in[2]) << 16) - | (((limb) in[3]) << 24) | (((limb) in[4]) << 32) - | (((limb) in[5]) << 40) | (((limb) in[6]) << 48) - | (((limb) in[7]) << 56); -} - -static void store_limb (u8 *out, limb in) -{ - out[0] = in & 0xff; - out[1] = (in >> 8) & 0xff; - out[2] = (in >> 16) & 0xff; - out[3] = (in >> 24) & 0xff; - out[4] = (in >> 32) & 0xff; - out[5] = (in >> 40) & 0xff; - out[6] = (in >> 48) & 0xff; - out[7] = (in >> 56) & 0xff; -} - -/* Take a little-endian, 32-byte number and expand it into polynomial form */ -static void fexpand (limb *output, const u8 *in) -{ - output[0] = load_limb (in) & 0x7ffffffffffff; - output[1] = (load_limb (in + 6) >> 3) & 0x7ffffffffffff; - output[2] = (load_limb (in + 12) >> 6) & 0x7ffffffffffff; - output[3] = (load_limb (in + 19) >> 1) & 0x7ffffffffffff; - output[4] = (load_limb (in + 24) >> 12) & 0x7ffffffffffff; -} - -/* Take a fully reduced polynomial form number and contract it into a - * little-endian, 32-byte array - */ -static void fcontract (u8 *output, const felem input) -{ - uint128_t t[5]; - - t[0] = input[0]; - t[1] = input[1]; - t[2] = input[2]; - t[3] = input[3]; - t[4] = input[4]; - - t[1] += t[0] >> 51; - t[0] &= 0x7ffffffffffff; - t[2] += t[1] >> 51; - t[1] &= 0x7ffffffffffff; - t[3] += t[2] >> 51; - t[2] &= 0x7ffffffffffff; - t[4] += t[3] >> 51; - t[3] &= 0x7ffffffffffff; - t[0] += 19 * (t[4] >> 51); - t[4] &= 0x7ffffffffffff; - - t[1] += t[0] >> 51; - t[0] &= 0x7ffffffffffff; - t[2] += t[1] >> 51; - t[1] &= 0x7ffffffffffff; - t[3] += t[2] >> 51; - t[2] &= 0x7ffffffffffff; - t[4] += t[3] >> 51; - t[3] &= 0x7ffffffffffff; - t[0] += 19 * (t[4] >> 51); - t[4] &= 0x7ffffffffffff; - - /* now t is between 0 and 2^255-1, properly carried. */ - /* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */ - - t[0] += 19; - - t[1] += t[0] >> 51; - t[0] &= 0x7ffffffffffff; - t[2] += t[1] >> 51; - t[1] &= 0x7ffffffffffff; - t[3] += t[2] >> 51; - t[2] &= 0x7ffffffffffff; - t[4] += t[3] >> 51; - t[3] &= 0x7ffffffffffff; - t[0] += 19 * (t[4] >> 51); - t[4] &= 0x7ffffffffffff; - - /* now between 19 and 2^255-1 in both cases, and offset by 19. */ - - t[0] += 0x8000000000000 - 19; - t[1] += 0x8000000000000 - 1; - t[2] += 0x8000000000000 - 1; - t[3] += 0x8000000000000 - 1; - t[4] += 0x8000000000000 - 1; - - /* now between 2^255 and 2^256-20, and offset by 2^255. */ - - t[1] += t[0] >> 51; - t[0] &= 0x7ffffffffffff; - t[2] += t[1] >> 51; - t[1] &= 0x7ffffffffffff; - t[3] += t[2] >> 51; - t[2] &= 0x7ffffffffffff; - t[4] += t[3] >> 51; - t[3] &= 0x7ffffffffffff; - t[4] &= 0x7ffffffffffff; - - store_limb (output, t[0] | (t[1] << 51)); - store_limb (output + 8, (t[1] >> 13) | (t[2] << 38)); - store_limb (output + 16, (t[2] >> 26) | (t[3] << 25)); - store_limb (output + 24, (t[3] >> 39) | (t[4] << 12)); -} - -/* Input: Q, Q', Q-Q' - * Output: 2Q, Q+Q' - * - * x2 z3: long form - * x3 z3: long form - * x z: short form, destroyed - * xprime zprime: short form, destroyed - * qmqp: short form, preserved - */ -static void fmonty (limb *x2, limb *z2, /* output 2Q */ -limb *x3, limb *z3, /* output Q + Q' */ -limb *x, limb *z, /* input Q */ -limb *xprime, limb *zprime, /* input Q' */ -const limb *qmqp /* input Q - Q' */) -{ - limb origx[5], origxprime[5], zzz[5], xx[5], zz[5], xxprime[5], zzprime[5], - zzzprime[5]; - - memcpy (origx, x, 5 * sizeof(limb)); - fsum (x, z); - fdifference_backwards (z, origx); // does x - z - - memcpy (origxprime, xprime, sizeof(limb) * 5); - fsum (xprime, zprime); - fdifference_backwards (zprime, origxprime); - fmul (xxprime, xprime, z); - fmul (zzprime, x, zprime); - memcpy (origxprime, xxprime, sizeof(limb) * 5); - fsum (xxprime, zzprime); - fdifference_backwards (zzprime, origxprime); - fsquare_times (x3, xxprime, 1); - fsquare_times (zzzprime, zzprime, 1); - fmul (z3, zzzprime, qmqp); - - fsquare_times (xx, x, 1); - fsquare_times (zz, z, 1); - fmul (x2, xx, zz); - fdifference_backwards (zz, xx); // does zz = xx - zz - fscalar_product (zzz, zz, 121665); - fsum (zzz, xx); - fmul (z2, zz, zzz); -} - -// ----------------------------------------------------------------------------- -// Maybe swap the contents of two limb arrays (@a and @b), each @len elements -// long. Perform the swap iff @swap is non-zero. -// -// This function performs the swap without leaking any side-channel -// information. -// ----------------------------------------------------------------------------- -static void swap_conditional (limb a[5], limb b[5], limb iswap) -{ - unsigned i; - const limb swap = -iswap; - - for (i = 0; i < 5; ++i) { - const limb x = swap & (a[i] ^ b[i]); - a[i] ^= x; - b[i] ^= x; - } -} - -/* Calculates nQ where Q is the x-coordinate of a point on the curve - * - * resultx/resultz: the x coordinate of the resulting curve point (short form) - * n: a little endian, 32-byte number - * q: a point of the curve (short form) - */ -static void cmult (limb *resultx, limb *resultz, const u8 *n, const limb *q) -{ - limb a[5] = { 0 }, b[5] = { 1 }, c[5] = { 1 }, d[5] = { 0 }; - limb *nqpqx = a, *nqpqz = b, *nqx = c, *nqz = d, *t; - limb e[5] = { 0 }, f[5] = { 1 }, g[5] = { 0 }, h[5] = { 1 }; - limb *nqpqx2 = e, *nqpqz2 = f, *nqx2 = g, *nqz2 = h; - - unsigned i, j; - - memcpy (nqpqx, q, sizeof(limb) * 5); - - for (i = 0; i < 32; ++i) { - u8 byte = n[31 - i]; - for (j = 0; j < 8; ++j) { - const limb bit = byte >> 7; - - swap_conditional (nqx, nqpqx, bit); - swap_conditional (nqz, nqpqz, bit); - fmonty (nqx2, nqz2, nqpqx2, nqpqz2, nqx, nqz, nqpqx, nqpqz, q); - swap_conditional (nqx2, nqpqx2, bit); - swap_conditional (nqz2, nqpqz2, bit); - - t = nqx; - nqx = nqx2; - nqx2 = t; - t = nqz; - nqz = nqz2; - nqz2 = t; - t = nqpqx; - nqpqx = nqpqx2; - nqpqx2 = t; - t = nqpqz; - nqpqz = nqpqz2; - nqpqz2 = t; - - byte <<= 1; - } - } - - memcpy (resultx, nqx, sizeof(limb) * 5); - memcpy (resultz, nqz, sizeof(limb) * 5); -} - -// ----------------------------------------------------------------------------- -// Shamelessly copied from djb's code, tightened a little -// ----------------------------------------------------------------------------- -static void crecip (felem out, const felem z) -{ - felem a, t0, b, c; - - /* 2 */fsquare_times (a, z, 1); // a = 2 - /* 8 */fsquare_times (t0, a, 2); - /* 9 */fmul (b, t0, z); // b = 9 - /* 11 */fmul (a, b, a); // a = 11 - /* 22 */fsquare_times (t0, a, 1); - /* 2^5 - 2^0 = 31 */fmul (b, t0, b); - /* 2^10 - 2^5 */fsquare_times (t0, b, 5); - /* 2^10 - 2^0 */fmul (b, t0, b); - /* 2^20 - 2^10 */fsquare_times (t0, b, 10); - /* 2^20 - 2^0 */fmul (c, t0, b); - /* 2^40 - 2^20 */fsquare_times (t0, c, 20); - /* 2^40 - 2^0 */fmul (t0, t0, c); - /* 2^50 - 2^10 */fsquare_times (t0, t0, 10); - /* 2^50 - 2^0 */fmul (b, t0, b); - /* 2^100 - 2^50 */fsquare_times (t0, b, 50); - /* 2^100 - 2^0 */fmul (c, t0, b); - /* 2^200 - 2^100 */fsquare_times (t0, c, 100); - /* 2^200 - 2^0 */fmul (t0, t0, c); - /* 2^250 - 2^50 */fsquare_times (t0, t0, 50); - /* 2^250 - 2^0 */fmul (t0, t0, b); - /* 2^255 - 2^5 */fsquare_times (t0, t0, 5); - /* 2^255 - 21 */fmul (out, t0, a); -} - -int scalarmult_donna (u8 *mypublic, const u8 *secret, const u8 *basepoint) -{ - limb bp[5], x[5], z[5], zmone[5]; - unsigned char e[32]; - - memcpy (e, secret, 32); - e[0] &= 248; - e[31] &= 127; - e[31] |= 64; - - fexpand (bp, basepoint); - cmult (x, z, e, bp); - crecip (zmone, z); - fmul (z, x, zmone); - fcontract (mypublic, z); - - return 0; -} - -int -scalarmult_base_donna (u8 *mypublic, const u8 *secret) -{ - return scalarmult_donna (mypublic, secret, - curve25519_basepoint); -} |