diff --git a/src/libsodium/crypto_scalarmult/curve25519/donna_c64/curve25519_donna_c64.c b/src/libsodium/crypto_scalarmult/curve25519/donna_c64/curve25519_donna_c64.c index c4763508..43e0a532 100644 --- a/src/libsodium/crypto_scalarmult/curve25519/donna_c64/curve25519_donna_c64.c +++ b/src/libsodium/crypto_scalarmult/curve25519/donna_c64/curve25519_donna_c64.c @@ -29,16 +29,13 @@ #include "../scalarmult_curve25519.h" #include "curve25519_donna_c64.h" +#include "private/curve25519_ref10.h" #include "private/common.h" #include "utils.h" -typedef uint8_t u8; -typedef uint64_t limb; -typedef limb felem[5]; - /* Sum two numbers: output += in */ static inline void -fsum(limb *output, const limb *in) +fe_add_self(fe output, const fe in) { output[0] += in[0]; output[1] += in[1]; @@ -54,41 +51,38 @@ fsum(limb *output, const limb *in) * On return, out[i] < 2**55 */ static inline void -fdifference_backwards(felem out, const felem in) +fe_sub_backwards(fe out, const fe in) { /* 152 is 19 << 3 */ - static const limb two54m152 = (((limb)1) << 54) - 152; - static const limb two54m8 = (((limb)1) << 54) - 8; + static const uint64_t two54m152 = (((uint64_t) 1) << 54) - 152; + static const uint64_t two54m8 = (((uint64_t) 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]; + 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 -fscalar_product(felem output, const felem in, const limb scalar) +fe_scalar_product(fe output, const fe in, const uint64_t scalar) { + const uint64_t mask = 0x7ffffffffffffULL; uint128_t a; - a = in[0] * (uint128_t)scalar; - output[0] = ((limb)a) & 0x7ffffffffffff; + a = in[0] * (uint128_t) scalar; + output[0] = ((uint64_t) a) & mask; + a = in[1] * (uint128_t) scalar + ((uint64_t) (a >> 51)); + output[1] = ((uint64_t) a) & mask; + a = in[2] * (uint128_t) scalar + ((uint64_t) (a >> 51)); + output[2] = ((uint64_t) a) & mask; + a = in[3] * (uint128_t) scalar + ((uint64_t) (a >> 51)); + output[3] = ((uint64_t) a) & mask; + a = in[4] * (uint128_t) scalar + ((uint64_t) (a >> 51)); + output[4] = ((uint64_t) a) & mask; - a = in[1] * (uint128_t)scalar + ((limb)(a >> 51)); - output[1] = ((limb)a) & 0x7ffffffffffff; - - a = in[2] * (uint128_t)scalar + ((limb)(a >> 51)); - output[2] = ((limb)a) & 0x7ffffffffffff; - - a = in[3] * (uint128_t)scalar + ((limb)(a >> 51)); - output[3] = ((limb)a) & 0x7ffffffffffff; - - a = in[4] * (uint128_t)scalar + ((limb)(a >> 51)); - output[4] = ((limb)a) & 0x7ffffffffffff; - - output[0] += (a >> 51) * 19; + output[0] += (a >> 51) * 19ULL; } /* Multiply two numbers: output = in2 * in @@ -100,10 +94,11 @@ fscalar_product(felem output, const felem in, const limb scalar) * On return, output[i] < 2**52 */ static inline void -fmul(felem output, const felem in2, const felem in) +fe_mul_restrict(fe output, const fe in2, const fe in) { + const uint64_t mask = 0x7ffffffffffffULL; uint128_t t[5]; - limb r0, r1, r2, r3, r4, s0, s1, s2, s3, s4, c; + uint64_t r0, r1, r2, r3, r4, s0, s1, s2, s3, s4, c; r0 = in[0]; r1 = in[1]; @@ -117,45 +112,45 @@ fmul(felem output, const felem in2, const felem in) 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; + 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; + r4 *= 19ULL; + r1 *= 19ULL; + r2 *= 19ULL; + r3 *= 19ULL; - 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; + 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); + r0 = (uint64_t) t[0] & mask; + c = (uint64_t) (t[0] >> 51); t[1] += c; - r1 = (limb)t[1] & 0x7ffffffffffff; - c = (limb)(t[1] >> 51); + r1 = (uint64_t) t[1] & mask; + c = (uint64_t) (t[1] >> 51); t[2] += c; - r2 = (limb)t[2] & 0x7ffffffffffff; - c = (limb)(t[2] >> 51); + r2 = (uint64_t) t[2] & mask; + c = (uint64_t) (t[2] >> 51); t[3] += c; - r3 = (limb)t[3] & 0x7ffffffffffff; - c = (limb)(t[3] >> 51); + r3 = (uint64_t) t[3] & mask; + c = (uint64_t) (t[3] >> 51); t[4] += c; - r4 = (limb)t[4] & 0x7ffffffffffff; - c = (limb)(t[4] >> 51); - r0 += c * 19; + r4 = (uint64_t) t[4] & mask; + c = (uint64_t) (t[4] >> 51); + r0 += c * 19ULL; c = r0 >> 51; - r0 = r0 & 0x7ffffffffffff; + r0 = r0 & mask; r1 += c; c = r1 >> 51; - r1 = r1 & 0x7ffffffffffff; + r1 = r1 & mask; r2 += c; output[0] = r0; @@ -166,11 +161,12 @@ fmul(felem output, const felem in2, const felem in) } static inline void -fsquare_times(felem output, const felem in, limb count) +fe_square_times(fe output, const fe in, uint64_t count) { + const uint64_t mask = 0x7ffffffffffffULL; uint128_t t[5]; - limb r0, r1, r2, r3, r4, c; - limb d0, d1, d2, d4, d419; + uint64_t r0, r1, r2, r3, r4, c; + uint64_t d0, d1, d2, d4, d419; r0 = in[0]; r1 = in[1]; @@ -181,41 +177,41 @@ fsquare_times(felem output, const felem in, limb count) do { d0 = r0 * 2; d1 = r1 * 2; - d2 = r2 * 2 * 19; - d419 = r4 * 19; + d2 = r2 * 2 * 19ULL; + d419 = r4 * 19ULL; 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)); + 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 * 19ULL)); + 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); + r0 = (uint64_t) t[0] & mask; + c = (uint64_t) (t[0] >> 51); t[1] += c; - r1 = (limb)t[1] & 0x7ffffffffffff; - c = (limb)(t[1] >> 51); + r1 = (uint64_t) t[1] & mask; + c = (uint64_t) (t[1] >> 51); t[2] += c; - r2 = (limb)t[2] & 0x7ffffffffffff; - c = (limb)(t[2] >> 51); + r2 = (uint64_t) t[2] & mask; + c = (uint64_t) (t[2] >> 51); t[3] += c; - r3 = (limb)t[3] & 0x7ffffffffffff; - c = (limb)(t[3] >> 51); + r3 = (uint64_t) t[3] & mask; + c = (uint64_t) (t[3] >> 51); t[4] += c; - r4 = (limb)t[4] & 0x7ffffffffffff; - c = (limb)(t[4] >> 51); - r0 += c * 19; + r4 = (uint64_t) t[4] & mask; + c = (uint64_t) (t[4] >> 51); + r0 += c * 19ULL; c = r0 >> 51; - r0 = r0 & 0x7ffffffffffff; + r0 = r0 & mask; r1 += c; c = r1 >> 51; - r1 = r1 & 0x7ffffffffffff; + r1 = r1 & mask; r2 += c; } while (--count); @@ -226,133 +222,6 @@ fsquare_times(felem output, const felem in, limb count) output[4] = r4; } -#ifdef NATIVE_LITTLE_ENDIAN -static inline limb -load_limb(const u8 *in) -{ - limb out; - - memcpy(&out, in, sizeof(limb)); - return out; -} -static inline void -store_limb(u8 *out, limb in) -{ - memcpy(out, &in, sizeof(limb)); -} -#else -static inline 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 inline 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; -} -#endif - -/* 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' * @@ -363,42 +232,41 @@ fcontract(u8 *output, const felem input) * 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' */) +fe_mont_y(fe x2, fe z2, /* output 2Q */ + fe x3, fe z3, /* output Q + Q' */ + fe x, fe z, /* input Q */ + fe xprime, fe zprime, /* input Q' */ + const fe qmqp /* input Q - Q' */) { - limb origx[5], origxprime[5], zzz[5], xx[5], zz[5], xxprime[5], zzprime[5], - zzzprime[5]; + fe origx, origxprime, zzz, xx, zz, xxprime, zzprime, zzzprime; - memcpy(origx, x, 5 * sizeof(limb)); - fsum(x, z); - fdifference_backwards(z, origx); /* does x - z */ + memcpy(origx, x, 5 * sizeof(uint64_t)); + fe_add_self(x, z); + fe_sub_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); + memcpy(origxprime, xprime, sizeof(uint64_t) * 5); + fe_add_self(xprime, zprime); + fe_sub_backwards(zprime, origxprime); + fe_mul_restrict(xxprime, xprime, z); + fe_mul_restrict(zzprime, x, zprime); + memcpy(origxprime, xxprime, sizeof(uint64_t) * 5); + fe_add_self(xxprime, zzprime); + fe_sub_backwards(zzprime, origxprime); + fe_square_times(x3, xxprime, 1); + fe_square_times(zzzprime, zzprime, 1); + fe_mul_restrict(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); + fe_square_times(xx, x, 1); + fe_square_times(zz, z, 1); + fe_mul_restrict(x2, xx, zz); + fe_sub_backwards(zz, xx); /* does zz = xx - zz */ + fe_scalar_product(zzz, zz, 121665); + fe_add_self(zzz, xx); + fe_mul_restrict(z2, zz, zzz); } /* ----------------------------------------------------------------------------- - Maybe swap the contents of two limb arrays (@a and @b), each @len elements + Maybe swap the contents of two uint64_t 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 @@ -406,15 +274,15 @@ fmonty(limb *x2, limb *z2, /* output 2Q */ ----------------------------------------------------------------------------- */ static void -swap_conditional(limb a[5], limb b[5], limb iswap) +swap_conditional(fe f, fe g, unsigned int b) { - const limb swap = -iswap; - unsigned i; + const uint64_t mask = (uint64_t) (-(int64_t) b); + unsigned int i; - for (i = 0; i < 5; ++i) { - const limb x = swap & (a[i] ^ b[i]); - a[i] ^= x; - b[i] ^= x; + for (i = 0; i < 5; i++) { + const uint64_t x = mask & (f[i] ^ g[i]); + f[i] ^= x; + g[i] ^= x; } } @@ -425,25 +293,25 @@ swap_conditional(limb a[5], limb b[5], limb iswap) * q: a point of the curve (short form) */ static void -cmult(limb *resultx, limb *resultz, const u8 *n, const limb *q) +cmult(fe resultx, fe resultz, const uint8_t *n, const fe 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; + fe a = { 0 }, b = { 1 }, c = { 1 }, d = { 0 }; + uint64_t *nqpqx = a, *nqpqz = b, *nqx = c, *nqz = d, *t; + fe e = { 0 }, f = { 1 }, g = { 0 }, h = { 1 }; + uint64_t *nqpqx2 = e, *nqpqz2 = f, *nqx2 = g, *nqz2 = h; unsigned i, j; - memcpy(nqpqx, q, sizeof(limb) * 5); + memcpy(nqpqx, q, sizeof(uint64_t) * 5); for (i = 0; i < 32; ++i) { - u8 byte = n[31 - i]; + uint8_t byte = n[31 - i]; for (j = 0; j < 8; ++j) { - const limb bit = byte >> 7; + const unsigned int bit = byte >> 7; swap_conditional(nqx, nqpqx, bit); swap_conditional(nqz, nqpqz, bit); - fmonty(nqx2, nqz2, nqpqx2, nqpqz2, nqx, nqz, nqpqx, nqpqz, q); + fe_mont_y(nqx2, nqz2, nqpqx2, nqpqz2, nqx, nqz, nqpqx, nqpqz, q); swap_conditional(nqx2, nqpqx2, bit); swap_conditional(nqz2, nqpqz2, bit); @@ -464,8 +332,8 @@ cmult(limb *resultx, limb *resultz, const u8 *n, const limb *q) } } - memcpy(resultx, nqx, sizeof(limb) * 5); - memcpy(resultz, nqz, sizeof(limb) * 5); + memcpy(resultx, nqx, sizeof(uint64_t) * 5); + memcpy(resultz, nqz, sizeof(uint64_t) * 5); } /* ----------------------------------------------------------------------------- @@ -473,32 +341,32 @@ cmult(limb *resultx, limb *resultz, const u8 *n, const limb *q) ----------------------------------------------------------------------------- */ static void -crecip(felem out, const felem z) +crecip(fe out, const fe z) { - felem a, t0, b, c; + fe 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); + /* 2 */ fe_square_times(a, z, 1); /* a = 2 */ + /* 8 */ fe_square_times(t0, a, 2); + /* 9 */ fe_mul_restrict(b, t0, z); /* b = 9 */ + /* 11 */ fe_mul_restrict(a, b, a); /* a = 11 */ + /* 22 */ fe_square_times(t0, a, 1); + /* 2^5 - 2^0 = 31 */ fe_mul_restrict(b, t0, b); + /* 2^10 - 2^5 */ fe_square_times(t0, b, 5); + /* 2^10 - 2^0 */ fe_mul_restrict(b, t0, b); + /* 2^20 - 2^10 */ fe_square_times(t0, b, 10); + /* 2^20 - 2^0 */ fe_mul_restrict(c, t0, b); + /* 2^40 - 2^20 */ fe_square_times(t0, c, 20); + /* 2^40 - 2^0 */ fe_mul_restrict(t0, t0, c); + /* 2^50 - 2^10 */ fe_square_times(t0, t0, 10); + /* 2^50 - 2^0 */ fe_mul_restrict(b, t0, b); + /* 2^100 - 2^50 */ fe_square_times(t0, b, 50); + /* 2^100 - 2^0 */ fe_mul_restrict(c, t0, b); + /* 2^200 - 2^100 */ fe_square_times(t0, c, 100); + /* 2^200 - 2^0 */ fe_mul_restrict(t0, t0, c); + /* 2^250 - 2^50 */ fe_square_times(t0, t0, 50); + /* 2^250 - 2^0 */ fe_mul_restrict(t0, t0, b); + /* 2^255 - 2^5 */ fe_square_times(t0, t0, 5); + /* 2^255 - 21 */ fe_mul_restrict(out, t0, a); } static int @@ -506,7 +374,7 @@ crypto_scalarmult_curve25519_donna_c64(unsigned char *q, const unsigned char *n, const unsigned char *p) { - limb bp[5], x[5], z[5], zmone[5]; + fe bp, x, z, zmone; unsigned char *t = q; int i; @@ -517,11 +385,11 @@ crypto_scalarmult_curve25519_donna_c64(unsigned char *q, t[31] &= 127; t[31] |= 64; - fexpand(bp, p); + fe_frombytes(bp, p); cmult(x, z, t, bp); crecip(zmone, z); - fmul(z, x, zmone); - fcontract(q, z); + fe_mul_restrict(z, x, zmone); + fe_tobytes(q, z); return 0; }