diff options
Diffstat (limited to 'security/nss/lib/freebl/ecl/curve25519_32.c')
| -rw-r--r-- | security/nss/lib/freebl/ecl/curve25519_32.c | 1447 |
1 files changed, 1135 insertions, 312 deletions
diff --git a/security/nss/lib/freebl/ecl/curve25519_32.c b/security/nss/lib/freebl/ecl/curve25519_32.c index 0122961e6..c28245680 100644 --- a/security/nss/lib/freebl/ecl/curve25519_32.c +++ b/security/nss/lib/freebl/ecl/curve25519_32.c @@ -1,390 +1,1213 @@ -/* This Source Code Form is subject to the terms of the Mozilla Public - * License, v. 2.0. If a copy of the MPL was not distributed with this - * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ +// The MIT License (MIT) +// +// Copyright (c) 2015-2016 the fiat-crypto authors (see the AUTHORS file). +// +// Permission is hereby granted, free of charge, to any person obtaining a copy +// of this software and associated documentation files (the "Software"), to deal +// in the Software without restriction, including without limitation the rights +// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +// copies of the Software, and to permit persons to whom the Software is +// furnished to do so, subject to the following conditions: +// +// The above copyright notice and this permission notice shall be included in all +// copies or substantial portions of the Software. +// +// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +// SOFTWARE. /* - * Derived from public domain code by Matthew Dempsky and D. J. Bernstein. + * Derived from machine-generated code via Fiat-Crypto: + * https://github.com/mit-plv/fiat-crypto and https://github.com/briansmith/ring + * + * The below captures notable changes: + * + * 1. Convert custom integer types to stdint.h types */ +#ifdef FREEBL_NO_DEPEND +#include "../stubs.h" +#endif + #include "ecl-priv.h" -#include "mpi.h" -#include <stdint.h> -#include <stdio.h> +/* fe means field element. Here the field is \Z/(2^255-19). An element t, + * entries t[0]...t[9], represents the integer t[0]+2^26 t[1]+2^51 t[2]+2^77 + * t[3]+2^102 t[4]+...+2^230 t[9]. + * fe limbs are bounded by 1.125*2^26,1.125*2^25,1.125*2^26,1.125*2^25,etc. + * Multiplication and carrying produce fe from fe_loose. + */ +typedef struct fe { + uint32_t v[10]; +} fe; + +/* fe_loose limbs are bounded by 3.375*2^26,3.375*2^25,3.375*2^26,3.375*2^25,etc + * Addition and subtraction produce fe_loose from (fe, fe). + */ +typedef struct fe_loose { + uint32_t v[10]; +} fe_loose; + +#define assert_fe(f) \ + do { \ + for (unsigned _assert_fe_i = 0; _assert_fe_i < 10; _assert_fe_i++) { \ + PORT_Assert(f[_assert_fe_i] <= \ + ((_assert_fe_i & 1) ? 0x2333333u : 0x4666666u)); \ + } \ + } while (0) -typedef uint32_t elem[32]; +#define assert_fe_loose(f) \ + do { \ + for (unsigned _assert_fe_i = 0; _assert_fe_i < 10; _assert_fe_i++) { \ + PORT_Assert(f[_assert_fe_i] <= \ + ((_assert_fe_i & 1) ? 0x6999999u : 0xd333332u)); \ + } \ + } while (0) /* - * Add two field elements. - * out = a + b + * The function fiat_25519_subborrowx_u26 is a subtraction with borrow. + * Postconditions: + * out1 = (-arg1 + arg2 + -arg3) mod 2^26 + * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^26⌋ + * + * Input Bounds: + * arg1: [0x0 ~> 0x1] + * arg2: [0x0 ~> 0x3ffffff] + * arg3: [0x0 ~> 0x3ffffff] + * Output Bounds: + * out1: [0x0 ~> 0x3ffffff] + * out2: [0x0 ~> 0x1] */ static void -add(elem out, const elem a, const elem b) -{ - uint32_t j; - uint32_t u = 0; - for (j = 0; j < 31; ++j) { - u += a[j] + b[j]; - out[j] = u & 0xFF; - u >>= 8; - } - u += a[31] + b[31]; - out[31] = u; +fiat_25519_subborrowx_u26(uint32_t *out1, uint8_t *out2, uint8_t arg1, uint32_t arg2, uint32_t arg3) +{ + int32_t x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3); + int8_t x2 = (int8_t)(x1 >> 26); + uint32_t x3 = (x1 & UINT32_C(0x3ffffff)); + *out1 = x3; + *out2 = (uint8_t)(0x0 - x2); } /* - * Subtract two field elements. - * out = a - b + * The function fiat_25519_subborrowx_u25 is a subtraction with borrow. + * Postconditions: + * out1 = (-arg1 + arg2 + -arg3) mod 2^25 + * out2 = -⌊(-arg1 + arg2 + -arg3) / 2^25⌋ + * + * Input Bounds: + * arg1: [0x0 ~> 0x1] + * arg2: [0x0 ~> 0x1ffffff] + * arg3: [0x0 ~> 0x1ffffff] + * Output Bounds: + * out1: [0x0 ~> 0x1ffffff] + * out2: [0x0 ~> 0x1] */ static void -sub(elem out, const elem a, const elem b) -{ - uint32_t j; - uint32_t u; - u = 218; - for (j = 0; j < 31; ++j) { - u += a[j] + 0xFF00 - b[j]; - out[j] = u & 0xFF; - u >>= 8; - } - u += a[31] - b[31]; - out[31] = u; +fiat_25519_subborrowx_u25(uint32_t *out1, uint8_t *out2, uint8_t arg1, uint32_t arg2, uint32_t arg3) +{ + int32_t x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3); + int8_t x2 = (int8_t)(x1 >> 25); + uint32_t x3 = (x1 & UINT32_C(0x1ffffff)); + *out1 = x3; + *out2 = (uint8_t)(0x0 - x2); } /* - * "Squeeze" an element after multiplication (and square). + * The function fiat_25519_addcarryx_u26 is an addition with carry. + * Postconditions: + * out1 = (arg1 + arg2 + arg3) mod 2^26 + * out2 = ⌊(arg1 + arg2 + arg3) / 2^26⌋ + * + * Input Bounds: + * arg1: [0x0 ~> 0x1] + * arg2: [0x0 ~> 0x3ffffff] + * arg3: [0x0 ~> 0x3ffffff] + * Output Bounds: + * out1: [0x0 ~> 0x3ffffff] + * out2: [0x0 ~> 0x1] */ static void -squeeze(elem a) -{ - uint32_t j; - uint32_t u; - u = 0; - for (j = 0; j < 31; ++j) { - u += a[j]; - a[j] = u & 0xFF; - u >>= 8; - } - u += a[31]; - a[31] = u & 0x7F; - u = 19 * (u >> 7); - for (j = 0; j < 31; ++j) { - u += a[j]; - a[j] = u & 0xFF; - u >>= 8; - } - a[31] += u; +fiat_25519_addcarryx_u26(uint32_t *out1, uint8_t *out2, uint8_t arg1, uint32_t arg2, uint32_t arg3) +{ + uint32_t x1 = ((arg1 + arg2) + arg3); + uint32_t x2 = (x1 & UINT32_C(0x3ffffff)); + uint8_t x3 = (uint8_t)(x1 >> 26); + *out1 = x2; + *out2 = x3; } -static const elem minusp = { 19, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 128 }; - /* - * Reduce point a by 2^255-19 + * The function fiat_25519_addcarryx_u25 is an addition with carry. + * Postconditions: + * out1 = (arg1 + arg2 + arg3) mod 2^25 + * out2 = ⌊(arg1 + arg2 + arg3) / 2^25⌋ + * + * Input Bounds: + * arg1: [0x0 ~> 0x1] + * arg2: [0x0 ~> 0x1ffffff] + * arg3: [0x0 ~> 0x1ffffff] + * Output Bounds: + * out1: [0x0 ~> 0x1ffffff] + * out2: [0x0 ~> 0x1] */ static void -reduce(elem a) +fiat_25519_addcarryx_u25(uint32_t *out1, uint8_t *out2, uint8_t arg1, uint32_t arg2, uint32_t arg3) { - elem aorig; - uint32_t j; - uint32_t negative; + uint32_t x1 = ((arg1 + arg2) + arg3); + uint32_t x2 = (x1 & UINT32_C(0x1ffffff)); + uint8_t x3 = (uint8_t)(x1 >> 25); + *out1 = x2; + *out2 = x3; +} - for (j = 0; j < 32; ++j) { - aorig[j] = a[j]; - } - add(a, a, minusp); - negative = 1 + ~((a[31] >> 7) & 1); - for (j = 0; j < 32; ++j) { - a[j] ^= negative & (aorig[j] ^ a[j]); - } +/* + * The function fiat_25519_cmovznz_u32 is a single-word conditional move. + * Postconditions: + * out1 = (if arg1 = 0 then arg2 else arg3) + * + * Input Bounds: + * arg1: [0x0 ~> 0x1] + * arg2: [0x0 ~> 0xffffffff] + * arg3: [0x0 ~> 0xffffffff] + * Output Bounds: + * out1: [0x0 ~> 0xffffffff] + */ +static void +fiat_25519_cmovznz_u32(uint32_t *out1, uint8_t arg1, uint32_t arg2, uint32_t arg3) +{ + uint8_t x1 = (!(!arg1)); + uint32_t x2 = ((int8_t)(0x0 - x1) & UINT32_C(0xffffffff)); + uint32_t x3 = ((x2 & arg3) | ((~x2) & arg2)); + *out1 = x3; } /* - * Multiplication and squeeze - * out = a * b + * The function fiat_25519_from_bytes deserializes a field element from bytes in little-endian order. + * Postconditions: + * eval out1 mod m = bytes_eval arg1 mod m + * + * Input Bounds: + * arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x7f]] + * Output Bounds: + * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] */ static void -mult(elem out, const elem a, const elem b) -{ - uint32_t i; - uint32_t j; - uint32_t u; - - for (i = 0; i < 32; ++i) { - u = 0; - for (j = 0; j <= i; ++j) { - u += a[j] * b[i - j]; - } - for (j = i + 1; j < 32; ++j) { - u += 38 * a[j] * b[i + 32 - j]; - } - out[i] = u; - } - squeeze(out); +fiat_25519_from_bytes(uint32_t out1[10], const uint8_t arg1[32]) +{ + uint32_t x1 = ((uint32_t)(arg1[31]) << 18); + uint32_t x2 = ((uint32_t)(arg1[30]) << 10); + uint32_t x3 = ((uint32_t)(arg1[29]) << 2); + uint32_t x4 = ((uint32_t)(arg1[28]) << 20); + uint32_t x5 = ((uint32_t)(arg1[27]) << 12); + uint32_t x6 = ((uint32_t)(arg1[26]) << 4); + uint32_t x7 = ((uint32_t)(arg1[25]) << 21); + uint32_t x8 = ((uint32_t)(arg1[24]) << 13); + uint32_t x9 = ((uint32_t)(arg1[23]) << 5); + uint32_t x10 = ((uint32_t)(arg1[22]) << 23); + uint32_t x11 = ((uint32_t)(arg1[21]) << 15); + uint32_t x12 = ((uint32_t)(arg1[20]) << 7); + uint32_t x13 = ((uint32_t)(arg1[19]) << 24); + uint32_t x14 = ((uint32_t)(arg1[18]) << 16); + uint32_t x15 = ((uint32_t)(arg1[17]) << 8); + uint8_t x16 = (arg1[16]); + uint32_t x17 = ((uint32_t)(arg1[15]) << 18); + uint32_t x18 = ((uint32_t)(arg1[14]) << 10); + uint32_t x19 = ((uint32_t)(arg1[13]) << 2); + uint32_t x20 = ((uint32_t)(arg1[12]) << 19); + uint32_t x21 = ((uint32_t)(arg1[11]) << 11); + uint32_t x22 = ((uint32_t)(arg1[10]) << 3); + uint32_t x23 = ((uint32_t)(arg1[9]) << 21); + uint32_t x24 = ((uint32_t)(arg1[8]) << 13); + uint32_t x25 = ((uint32_t)(arg1[7]) << 5); + uint32_t x26 = ((uint32_t)(arg1[6]) << 22); + uint32_t x27 = ((uint32_t)(arg1[5]) << 14); + uint32_t x28 = ((uint32_t)(arg1[4]) << 6); + uint32_t x29 = ((uint32_t)(arg1[3]) << 24); + uint32_t x30 = ((uint32_t)(arg1[2]) << 16); + uint32_t x31 = ((uint32_t)(arg1[1]) << 8); + uint8_t x32 = (arg1[0]); + uint32_t x33 = (x32 + (x31 + (x30 + x29))); + uint8_t x34 = (uint8_t)(x33 >> 26); + uint32_t x35 = (x33 & UINT32_C(0x3ffffff)); + uint32_t x36 = (x3 + (x2 + x1)); + uint32_t x37 = (x6 + (x5 + x4)); + uint32_t x38 = (x9 + (x8 + x7)); + uint32_t x39 = (x12 + (x11 + x10)); + uint32_t x40 = (x16 + (x15 + (x14 + x13))); + uint32_t x41 = (x19 + (x18 + x17)); + uint32_t x42 = (x22 + (x21 + x20)); + uint32_t x43 = (x25 + (x24 + x23)); + uint32_t x44 = (x28 + (x27 + x26)); + uint32_t x45 = (x34 + x44); + uint8_t x46 = (uint8_t)(x45 >> 25); + uint32_t x47 = (x45 & UINT32_C(0x1ffffff)); + uint32_t x48 = (x46 + x43); + uint8_t x49 = (uint8_t)(x48 >> 26); + uint32_t x50 = (x48 & UINT32_C(0x3ffffff)); + uint32_t x51 = (x49 + x42); + uint8_t x52 = (uint8_t)(x51 >> 25); + uint32_t x53 = (x51 & UINT32_C(0x1ffffff)); + uint32_t x54 = (x52 + x41); + uint32_t x55 = (x54 & UINT32_C(0x3ffffff)); + uint8_t x56 = (uint8_t)(x40 >> 25); + uint32_t x57 = (x40 & UINT32_C(0x1ffffff)); + uint32_t x58 = (x56 + x39); + uint8_t x59 = (uint8_t)(x58 >> 26); + uint32_t x60 = (x58 & UINT32_C(0x3ffffff)); + uint32_t x61 = (x59 + x38); + uint8_t x62 = (uint8_t)(x61 >> 25); + uint32_t x63 = (x61 & UINT32_C(0x1ffffff)); + uint32_t x64 = (x62 + x37); + uint8_t x65 = (uint8_t)(x64 >> 26); + uint32_t x66 = (x64 & UINT32_C(0x3ffffff)); + uint32_t x67 = (x65 + x36); + out1[0] = x35; + out1[1] = x47; + out1[2] = x50; + out1[3] = x53; + out1[4] = x55; + out1[5] = x57; + out1[6] = x60; + out1[7] = x63; + out1[8] = x66; + out1[9] = x67; +} + +static void +fe_frombytes_strict(fe *h, const uint8_t s[32]) +{ + // |fiat_25519_from_bytes| requires the top-most bit be clear. + PORT_Assert((s[31] & 0x80) == 0); + fiat_25519_from_bytes(h->v, s); + assert_fe(h->v); +} + +static inline void +fe_frombytes(fe *h, const uint8_t *s) +{ + uint8_t s_copy[32]; + memcpy(s_copy, s, 32); + s_copy[31] &= 0x7f; + fe_frombytes_strict(h, s_copy); } /* - * Multiplication - * out = 121665 * a + * The function fiat_25519_to_bytes serializes a field element to bytes in little-endian order. + * Postconditions: + * out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31] + * + * Input Bounds: + * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] + * Output Bounds: + * out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x7f]] */ static void -mult121665(elem out, const elem a) +fiat_25519_to_bytes(uint8_t out1[32], const uint32_t arg1[10]) { - uint32_t j; - uint32_t u; + uint32_t x1; + uint8_t x2; + fiat_25519_subborrowx_u26(&x1, &x2, 0x0, (arg1[0]), UINT32_C(0x3ffffed)); + uint32_t x3; + uint8_t x4; + fiat_25519_subborrowx_u25(&x3, &x4, x2, (arg1[1]), UINT32_C(0x1ffffff)); + uint32_t x5; + uint8_t x6; + fiat_25519_subborrowx_u26(&x5, &x6, x4, (arg1[2]), UINT32_C(0x3ffffff)); + uint32_t x7; + uint8_t x8; + fiat_25519_subborrowx_u25(&x7, &x8, x6, (arg1[3]), UINT32_C(0x1ffffff)); + uint32_t x9; + uint8_t x10; + fiat_25519_subborrowx_u26(&x9, &x10, x8, (arg1[4]), UINT32_C(0x3ffffff)); + uint32_t x11; + uint8_t x12; + fiat_25519_subborrowx_u25(&x11, &x12, x10, (arg1[5]), UINT32_C(0x1ffffff)); + uint32_t x13; + uint8_t x14; + fiat_25519_subborrowx_u26(&x13, &x14, x12, (arg1[6]), UINT32_C(0x3ffffff)); + uint32_t x15; + uint8_t x16; + fiat_25519_subborrowx_u25(&x15, &x16, x14, (arg1[7]), UINT32_C(0x1ffffff)); + uint32_t x17; + uint8_t x18; + fiat_25519_subborrowx_u26(&x17, &x18, x16, (arg1[8]), UINT32_C(0x3ffffff)); + uint32_t x19; + uint8_t x20; + fiat_25519_subborrowx_u25(&x19, &x20, x18, (arg1[9]), UINT32_C(0x1ffffff)); + uint32_t x21; + fiat_25519_cmovznz_u32(&x21, x20, 0x0, UINT32_C(0xffffffff)); + uint32_t x22; + uint8_t x23; + fiat_25519_addcarryx_u26(&x22, &x23, 0x0, x1, (x21 & UINT32_C(0x3ffffed))); + uint32_t x24; + uint8_t x25; + fiat_25519_addcarryx_u25(&x24, &x25, x23, x3, (x21 & UINT32_C(0x1ffffff))); + uint32_t x26; + uint8_t x27; + fiat_25519_addcarryx_u26(&x26, &x27, x25, x5, (x21 & UINT32_C(0x3ffffff))); + uint32_t x28; + uint8_t x29; + fiat_25519_addcarryx_u25(&x28, &x29, x27, x7, (x21 & UINT32_C(0x1ffffff))); + uint32_t x30; + uint8_t x31; + fiat_25519_addcarryx_u26(&x30, &x31, x29, x9, (x21 & UINT32_C(0x3ffffff))); + uint32_t x32; + uint8_t x33; + fiat_25519_addcarryx_u25(&x32, &x33, x31, x11, (x21 & UINT32_C(0x1ffffff))); + uint32_t x34; + uint8_t x35; + fiat_25519_addcarryx_u26(&x34, &x35, x33, x13, (x21 & UINT32_C(0x3ffffff))); + uint32_t x36; + uint8_t x37; + fiat_25519_addcarryx_u25(&x36, &x37, x35, x15, (x21 & UINT32_C(0x1ffffff))); + uint32_t x38; + uint8_t x39; + fiat_25519_addcarryx_u26(&x38, &x39, x37, x17, (x21 & UINT32_C(0x3ffffff))); + uint32_t x40; + uint8_t x41; + fiat_25519_addcarryx_u25(&x40, &x41, x39, x19, (x21 & UINT32_C(0x1ffffff))); + uint32_t x42 = (x40 << 6); + uint32_t x43 = (x38 << 4); + uint32_t x44 = (x36 << 3); + uint32_t x45 = (x34 * (uint32_t)0x2); + uint32_t x46 = (x30 << 6); + uint32_t x47 = (x28 << 5); + uint32_t x48 = (x26 << 3); + uint32_t x49 = (x24 << 2); + uint32_t x50 = (x22 >> 8); + uint8_t x51 = (uint8_t)(x22 & UINT8_C(0xff)); + uint32_t x52 = (x50 >> 8); + uint8_t x53 = (uint8_t)(x50 & UINT8_C(0xff)); + uint8_t x54 = (uint8_t)(x52 >> 8); + uint8_t x55 = (uint8_t)(x52 & UINT8_C(0xff)); + uint32_t x56 = (x54 + x49); + uint32_t x57 = (x56 >> 8); + uint8_t x58 = (uint8_t)(x56 & UINT8_C(0xff)); + uint32_t x59 = (x57 >> 8); + uint8_t x60 = (uint8_t)(x57 & UINT8_C(0xff)); + uint8_t x61 = (uint8_t)(x59 >> 8); + uint8_t x62 = (uint8_t)(x59 & UINT8_C(0xff)); + uint32_t x63 = (x61 + x48); + uint32_t x64 = (x63 >> 8); + uint8_t x65 = (uint8_t)(x63 & UINT8_C(0xff)); + uint32_t x66 = (x64 >> 8); + uint8_t x67 = (uint8_t)(x64 & UINT8_C(0xff)); + uint8_t x68 = (uint8_t)(x66 >> 8); + uint8_t x69 = (uint8_t)(x66 & UINT8_C(0xff)); + uint32_t x70 = (x68 + x47); + uint32_t x71 = (x70 >> 8); + uint8_t x72 = (uint8_t)(x70 & UINT8_C(0xff)); + uint32_t x73 = (x71 >> 8); + uint8_t x74 = (uint8_t)(x71 & UINT8_C(0xff)); + uint8_t x75 = (uint8_t)(x73 >> 8); + uint8_t x76 = (uint8_t)(x73 & UINT8_C(0xff)); + uint32_t x77 = (x75 + x46); + uint32_t x78 = (x77 >> 8); + uint8_t x79 = (uint8_t)(x77 & UINT8_C(0xff)); + uint32_t x80 = (x78 >> 8); + uint8_t x81 = (uint8_t)(x78 & UINT8_C(0xff)); + uint8_t x82 = (uint8_t)(x80 >> 8); + uint8_t x83 = (uint8_t)(x80 & UINT8_C(0xff)); + uint8_t x84 = (uint8_t)(x82 & UINT8_C(0xff)); + uint32_t x85 = (x32 >> 8); + uint8_t x86 = (uint8_t)(x32 & UINT8_C(0xff)); + uint32_t x87 = (x85 >> 8); + uint8_t x88 = (uint8_t)(x85 & UINT8_C(0xff)); + uint8_t x89 = (uint8_t)(x87 >> 8); + uint8_t x90 = (uint8_t)(x87 & UINT8_C(0xff)); + uint32_t x91 = (x89 + x45); + uint32_t x92 = (x91 >> 8); + uint8_t x93 = (uint8_t)(x91 & UINT8_C(0xff)); + uint32_t x94 = (x92 >> 8); + uint8_t x95 = (uint8_t)(x92 & UINT8_C(0xff)); + uint8_t x96 = (uint8_t)(x94 >> 8); + uint8_t x97 = (uint8_t)(x94 & UINT8_C(0xff)); + uint32_t x98 = (x96 + x44); + uint32_t x99 = (x98 >> 8); + uint8_t x100 = (uint8_t)(x98 & UINT8_C(0xff)); + uint32_t x101 = (x99 >> 8); + uint8_t x102 = (uint8_t)(x99 & UINT8_C(0xff)); + uint8_t x103 = (uint8_t)(x101 >> 8); + uint8_t x104 = (uint8_t)(x101 & UINT8_C(0xff)); + uint32_t x105 = (x103 + x43); + uint32_t x106 = (x105 >> 8); + uint8_t x107 = (uint8_t)(x105 & UINT8_C(0xff)); + uint32_t x108 = (x106 >> 8); + uint8_t x109 = (uint8_t)(x106 & UINT8_C(0xff)); + uint8_t x110 = (uint8_t)(x108 >> 8); + uint8_t x111 = (uint8_t)(x108 & UINT8_C(0xff)); + uint32_t x112 = (x110 + x42); + uint32_t x113 = (x112 >> 8); + uint8_t x114 = (uint8_t)(x112 & UINT8_C(0xff)); + uint32_t x115 = (x113 >> 8); + uint8_t x116 = (uint8_t)(x113 & UINT8_C(0xff)); + uint8_t x117 = (uint8_t)(x115 >> 8); + uint8_t x118 = (uint8_t)(x115 & UINT8_C(0xff)); + out1[0] = x51; + out1[1] = x53; + out1[2] = x55; + out1[3] = x58; + out1[4] = x60; + out1[5] = x62; + out1[6] = x65; + out1[7] = x67; + out1[8] = x69; + out1[9] = x72; + out1[10] = x74; + out1[11] = x76; + out1[12] = x79; + out1[13] = x81; + out1[14] = x83; + out1[15] = x84; + out1[16] = x86; + out1[17] = x88; + out1[18] = x90; + out1[19] = x93; + out1[20] = x95; + out1[21] = x97; + out1[22] = x100; + out1[23] = x102; + out1[24] = x104; + out1[25] = x107; + out1[26] = x109; + out1[27] = x111; + out1[28] = x114; + out1[29] = x116; + out1[30] = x118; + out1[31] = x117; +} - u = 0; - for (j = 0; j < 31; ++j) { - u += 121665 * a[j]; - out[j] = u & 0xFF; - u >>= 8; - } - u += 121665 * a[31]; - out[31] = u & 0x7F; - u = 19 * (u >> 7); - for (j = 0; j < 31; ++j) { - u += out[j]; - out[j] = u & 0xFF; - u >>= 8; - } - u += out[j]; - out[j] = u; +static inline void +fe_tobytes(uint8_t s[32], const fe *f) +{ + assert_fe(f->v); + fiat_25519_to_bytes(s, f->v); +} + +/* h = f */ +static inline void +fe_copy(fe *h, const fe *f) +{ + memmove(h, f, sizeof(fe)); +} + +static inline void +fe_copy_lt(fe_loose *h, const fe *f) +{ + PORT_Assert(sizeof(fe) == sizeof(fe_loose)); + memmove(h, f, sizeof(fe)); +} + +/* + * h = 0 + */ +static inline void +fe_0(fe *h) +{ + memset(h, 0, sizeof(fe)); } /* - * Square a and squeeze the result. - * out = a * a + * h = 1 + */ +static inline void +fe_1(fe *h) +{ + memset(h, 0, sizeof(fe)); + h->v[0] = 1; +} +/* + * The function fiat_25519_add adds two field elements. + * Postconditions: + * eval out1 mod m = (eval arg1 + eval arg2) mod m + * + * Input Bounds: + * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] + * arg2: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] + * Output Bounds: + * out1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] */ static void -square(elem out, const elem a) -{ - uint32_t i; - uint32_t j; - uint32_t u; - - for (i = 0; i < 32; ++i) { - u = 0; - for (j = 0; j < i - j; ++j) { - u += a[j] * a[i - j]; - } - for (j = i + 1; j < i + 32 - j; ++j) { - u += 38 * a[j] * a[i + 32 - j]; - } - u *= 2; - if ((i & 1) == 0) { - u += a[i / 2] * a[i / 2]; - u += 38 * a[i / 2 + 16] * a[i / 2 + 16]; - } - out[i] = u; - } - squeeze(out); +fiat_25519_add(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10]) +{ + uint32_t x1 = ((arg1[0]) + (arg2[0])); + uint32_t x2 = ((arg1[1]) + (arg2[1])); + uint32_t x3 = ((arg1[2]) + (arg2[2])); + uint32_t x4 = ((arg1[3]) + (arg2[3])); + uint32_t x5 = ((arg1[4]) + (arg2[4])); + uint32_t x6 = ((arg1[5]) + (arg2[5])); + uint32_t x7 = ((arg1[6]) + (arg2[6])); + uint32_t x8 = ((arg1[7]) + (arg2[7])); + uint32_t x9 = ((arg1[8]) + (arg2[8])); + uint32_t x10 = ((arg1[9]) + (arg2[9])); + out1[0] = x1; + out1[1] = x2; + out1[2] = x3; + out1[3] = x4; + out1[4] = x5; + out1[5] = x6; + out1[6] = x7; + out1[7] = x8; + out1[8] = x9; + out1[9] = x10; } /* - * Constant time swap between r and s depending on b + * Add two field elements. + * h = f + g + */ +static inline void +fe_add(fe_loose *h, const fe *f, const fe *g) +{ + assert_fe(f->v); + assert_fe(g->v); + fiat_25519_add(h->v, f->v, g->v); + assert_fe_loose(h->v); +} + +/* + * The function fiat_25519_sub subtracts two field elements. + * Postconditions: + * eval out1 mod m = (eval arg1 - eval arg2) mod m + * + * Input Bounds: + * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] + * arg2: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] + * Output Bounds: + * out1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] */ static void -cswap(uint32_t p[64], uint32_t q[64], uint32_t b) +fiat_25519_sub(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10]) { - uint32_t j; - uint32_t swap = 1 + ~b; + uint32_t x1 = ((UINT32_C(0x7ffffda) + (arg1[0])) - (arg2[0])); + uint32_t x2 = ((UINT32_C(0x3fffffe) + (arg1[1])) - (arg2[1])); + uint32_t x3 = ((UINT32_C(0x7fffffe) + (arg1[2])) - (arg2[2])); + uint32_t x4 = ((UINT32_C(0x3fffffe) + (arg1[3])) - (arg2[3])); + uint32_t x5 = ((UINT32_C(0x7fffffe) + (arg1[4])) - (arg2[4])); + uint32_t x6 = ((UINT32_C(0x3fffffe) + (arg1[5])) - (arg2[5])); + uint32_t x7 = ((UINT32_C(0x7fffffe) + (arg1[6])) - (arg2[6])); + uint32_t x8 = ((UINT32_C(0x3fffffe) + (arg1[7])) - (arg2[7])); + uint32_t x9 = ((UINT32_C(0x7fffffe) + (arg1[8])) - (arg2[8])); + uint32_t x10 = ((UINT32_C(0x3fffffe) + (arg1[9])) - (arg2[9])); + out1[0] = x1; + out1[1] = x2; + out1[2] = x3; + out1[3] = x4; + out1[4] = x5; + out1[5] = x6; + out1[6] = x7; + out1[7] = x8; + out1[8] = x9; + out1[9] = x10; +} - for (j = 0; j < 64; ++j) { - const uint32_t t = swap & (p[j] ^ q[j]); - p[j] ^= t; - q[j] ^= t; - } +/* + * Subtract two field elements. + * h = f - g + */ +static void +fe_sub(fe_loose *h, const fe *f, const fe *g) +{ + assert_fe(f->v); + assert_fe(g->v); + fiat_25519_sub(h->v, f->v, g->v); + assert_fe_loose(h->v); } /* - * Montgomery ladder + * The function fiat_25519_carry_mul multiplies two field elements and reduces the result. + * Postconditions: + * eval out1 mod m = (eval arg1 * eval arg2) mod m + * + * Input Bounds: + * arg1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] + * arg2: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] + * Output Bounds: + * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] */ static void -monty(elem x_2_out, elem z_2_out, - const elem point, const elem scalar) -{ - uint32_t x_3[64] = { 0 }; - uint32_t x_2[64] = { 0 }; - uint32_t a0[64]; - uint32_t a1[64]; - uint32_t b0[64]; - uint32_t b1[64]; - uint32_t c1[64]; - uint32_t r[32]; - uint32_t s[32]; - uint32_t t[32]; - uint32_t u[32]; - uint32_t swap = 0; - uint32_t k_t = 0; - int j; - - for (j = 0; j < 32; ++j) { - x_3[j] = point[j]; - } - x_3[32] = 1; - x_2[0] = 1; - - for (j = 254; j >= 0; --j) { - k_t = (scalar[j >> 3] >> (j & 7)) & 1; - swap ^= k_t; - cswap(x_2, x_3, swap); - swap = k_t; - add(a0, x_2, x_2 + 32); - sub(a0 + 32, x_2, x_2 + 32); - add(a1, x_3, x_3 + 32); - sub(a1 + 32, x_3, x_3 + 32); - square(b0, a0); - square(b0 + 32, a0 + 32); - mult(b1, a1, a0 + 32); - mult(b1 + 32, a1 + 32, a0); - add(c1, b1, b1 + 32); - sub(c1 + 32, b1, b1 + 32); - square(r, c1 + 32); - sub(s, b0, b0 + 32); - mult121665(t, s); - add(u, t, b0); - mult(x_2, b0, b0 + 32); - mult(x_2 + 32, s, u); - square(x_3, c1); - mult(x_3 + 32, r, point); - } +fiat_25519_carry_mul(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10]) +{ + uint64_t x1 = ((uint64_t)(arg1[9]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x2 = ((uint64_t)(arg1[9]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x3 = ((uint64_t)(arg1[9]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x4 = ((uint64_t)(arg1[9]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); + uint64_t x5 = ((uint64_t)(arg1[9]) * ((arg2[5]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x6 = ((uint64_t)(arg1[9]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13))); + uint64_t x7 = ((uint64_t)(arg1[9]) * ((arg2[3]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x8 = ((uint64_t)(arg1[9]) * ((arg2[2]) * (uint32_t)UINT8_C(0x13))); + uint64_t x9 = ((uint64_t)(arg1[9]) * ((arg2[1]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x10 = ((uint64_t)(arg1[8]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13))); + uint64_t x11 = ((uint64_t)(arg1[8]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x12 = ((uint64_t)(arg1[8]) * ((arg2[7]) * (uint32_t)UINT8_C(0x13))); + uint64_t x13 = ((uint64_t)(arg1[8]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); + uint64_t x14 = ((uint64_t)(arg1[8]) * ((arg2[5]) * (uint32_t)UINT8_C(0x13))); + uint64_t x15 = ((uint64_t)(arg1[8]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13))); + uint64_t x16 = ((uint64_t)(arg1[8]) * ((arg2[3]) * (uint32_t)UINT8_C(0x13))); + uint64_t x17 = ((uint64_t)(arg1[8]) * ((arg2[2]) * (uint32_t)UINT8_C(0x13))); + uint64_t x18 = ((uint64_t)(arg1[7]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x19 = ((uint64_t)(arg1[7]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x20 = ((uint64_t)(arg1[7]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x21 = ((uint64_t)(arg1[7]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); + uint64_t x22 = ((uint64_t)(arg1[7]) * ((arg2[5]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x23 = ((uint64_t)(arg1[7]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13))); + uint64_t x24 = ((uint64_t)(arg1[7]) * ((arg2[3]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x25 = ((uint64_t)(arg1[6]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13))); + uint64_t x26 = ((uint64_t)(arg1[6]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x27 = ((uint64_t)(arg1[6]) * ((arg2[7]) * (uint32_t)UINT8_C(0x13))); + uint64_t x28 = ((uint64_t)(arg1[6]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); + uint64_t x29 = ((uint64_t)(arg1[6]) * ((arg2[5]) * (uint32_t)UINT8_C(0x13))); + uint64_t x30 = ((uint64_t)(arg1[6]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13))); + uint64_t x31 = ((uint64_t)(arg1[5]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x32 = ((uint64_t)(arg1[5]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x33 = ((uint64_t)(arg1[5]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x34 = ((uint64_t)(arg1[5]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); + uint64_t x35 = ((uint64_t)(arg1[5]) * ((arg2[5]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x36 = ((uint64_t)(arg1[4]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13))); + uint64_t x37 = ((uint64_t)(arg1[4]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x38 = ((uint64_t)(arg1[4]) * ((arg2[7]) * (uint32_t)UINT8_C(0x13))); + uint64_t x39 = ((uint64_t)(arg1[4]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); + uint64_t x40 = ((uint64_t)(arg1[3]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x41 = ((uint64_t)(arg1[3]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x42 = ((uint64_t)(arg1[3]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x43 = ((uint64_t)(arg1[2]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13))); + uint64_t x44 = ((uint64_t)(arg1[2]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x45 = ((uint64_t)(arg1[1]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x46 = ((uint64_t)(arg1[9]) * (arg2[0])); + uint64_t x47 = ((uint64_t)(arg1[8]) * (arg2[1])); + uint64_t x48 = ((uint64_t)(arg1[8]) * (arg2[0])); + uint64_t x49 = ((uint64_t)(arg1[7]) * (arg2[2])); + uint64_t x50 = ((uint64_t)(arg1[7]) * ((arg2[1]) * (uint32_t)0x2)); + uint64_t x51 = ((uint64_t)(arg1[7]) * (arg2[0])); + uint64_t x52 = ((uint64_t)(arg1[6]) * (arg2[3])); + uint64_t x53 = ((uint64_t)(arg1[6]) * (arg2[2])); + uint64_t x54 = ((uint64_t)(arg1[6]) * (arg2[1])); + uint64_t x55 = ((uint64_t)(arg1[6]) * (arg2[0])); + uint64_t x56 = ((uint64_t)(arg1[5]) * (arg2[4])); + uint64_t x57 = ((uint64_t)(arg1[5]) * ((arg2[3]) * (uint32_t)0x2)); + uint64_t x58 = ((uint64_t)(arg1[5]) * (arg2[2])); + uint64_t x59 = ((uint64_t)(arg1[5]) * ((arg2[1]) * (uint32_t)0x2)); + uint64_t x60 = ((uint64_t)(arg1[5]) * (arg2[0])); + uint64_t x61 = ((uint64_t)(arg1[4]) * (arg2[5])); + uint64_t x62 = ((uint64_t)(arg1[4]) * (arg2[4])); + uint64_t x63 = ((uint64_t)(arg1[4]) * (arg2[3])); + uint64_t x64 = ((uint64_t)(arg1[4]) * (arg2[2])); + uint64_t x65 = ((uint64_t)(arg1[4]) * (arg2[1])); + uint64_t x66 = ((uint64_t)(arg1[4]) * (arg2[0])); + uint64_t x67 = ((uint64_t)(arg1[3]) * (arg2[6])); + uint64_t x68 = ((uint64_t)(arg1[3]) * ((arg2[5]) * (uint32_t)0x2)); + uint64_t x69 = ((uint64_t)(arg1[3]) * (arg2[4])); + uint64_t x70 = ((uint64_t)(arg1[3]) * ((arg2[3]) * (uint32_t)0x2)); + uint64_t x71 = ((uint64_t)(arg1[3]) * (arg2[2])); + uint64_t x72 = ((uint64_t)(arg1[3]) * ((arg2[1]) * (uint32_t)0x2)); + uint64_t x73 = ((uint64_t)(arg1[3]) * (arg2[0])); + uint64_t x74 = ((uint64_t)(arg1[2]) * (arg2[7])); + uint64_t x75 = ((uint64_t)(arg1[2]) * (arg2[6])); + uint64_t x76 = ((uint64_t)(arg1[2]) * (arg2[5])); + uint64_t x77 = ((uint64_t)(arg1[2]) * (arg2[4])); + uint64_t x78 = ((uint64_t)(arg1[2]) * (arg2[3])); + uint64_t x79 = ((uint64_t)(arg1[2]) * (arg2[2])); + uint64_t x80 = ((uint64_t)(arg1[2]) * (arg2[1])); + uint64_t x81 = ((uint64_t)(arg1[2]) * (arg2[0])); + uint64_t x82 = ((uint64_t)(arg1[1]) * (arg2[8])); + uint64_t x83 = ((uint64_t)(arg1[1]) * ((arg2[7]) * (uint32_t)0x2)); + uint64_t x84 = ((uint64_t)(arg1[1]) * (arg2[6])); + uint64_t x85 = ((uint64_t)(arg1[1]) * ((arg2[5]) * (uint32_t)0x2)); + uint64_t x86 = ((uint64_t)(arg1[1]) * (arg2[4])); + uint64_t x87 = ((uint64_t)(arg1[1]) * ((arg2[3]) * (uint32_t)0x2)); + uint64_t x88 = ((uint64_t)(arg1[1]) * (arg2[2])); + uint64_t x89 = ((uint64_t)(arg1[1]) * ((arg2[1]) * (uint32_t)0x2)); + uint64_t x90 = ((uint64_t)(arg1[1]) * (arg2[0])); + uint64_t x91 = ((uint64_t)(arg1[0]) * (arg2[9])); + uint64_t x92 = ((uint64_t)(arg1[0]) * (arg2[8])); + uint64_t x93 = ((uint64_t)(arg1[0]) * (arg2[7])); + uint64_t x94 = ((uint64_t)(arg1[0]) * (arg2[6])); + uint64_t x95 = ((uint64_t)(arg1[0]) * (arg2[5])); + uint64_t x96 = ((uint64_t)(arg1[0]) * (arg2[4])); + uint64_t x97 = ((uint64_t)(arg1[0]) * (arg2[3])); + uint64_t x98 = ((uint64_t)(arg1[0]) * (arg2[2])); + uint64_t x99 = ((uint64_t)(arg1[0]) * (arg2[1])); + uint64_t x100 = ((uint64_t)(arg1[0]) * (arg2[0])); + uint64_t x101 = (x100 + (x45 + (x44 + (x42 + (x39 + (x35 + (x30 + (x24 + (x17 + x9))))))))); + uint64_t x102 = (x101 >> 26); + uint32_t x103 = (uint32_t)(x101 & UINT32_C(0x3ffffff)); + uint64_t x104 = (x91 + (x82 + (x74 + (x67 + (x61 + (x56 + (x52 + (x49 + (x47 + x46))))))))); + uint64_t x105 = (x92 + (x83 + (x75 + (x68 + (x62 + (x57 + (x53 + (x50 + (x48 + x1))))))))); + uint64_t x106 = (x93 + (x84 + (x76 + (x69 + (x63 + (x58 + (x54 + (x51 + (x10 + x2))))))))); + uint64_t x107 = (x94 + (x85 + (x77 + (x70 + (x64 + (x59 + (x55 + (x18 + (x11 + x3))))))))); + uint64_t x108 = (x95 + (x86 + (x78 + (x71 + (x65 + (x60 + (x25 + (x19 + (x12 + x4))))))))); + uint64_t x109 = (x96 + (x87 + (x79 + (x72 + (x66 + (x31 + (x26 + (x20 + (x13 + x5))))))))); + uint64_t x110 = (x97 + (x88 + (x80 + (x73 + (x36 + (x32 + (x27 + (x21 + (x14 + x6))))))))); + uint64_t x111 = (x98 + (x89 + (x81 + (x40 + (x37 + (x33 + (x28 + (x22 + (x15 + x7))))))))); + uint64_t x112 = (x99 + (x90 + (x43 + (x41 + (x38 + (x34 + (x29 + (x23 + (x16 + x8))))))))); + uint64_t x113 = (x102 + x112); + uint64_t x114 = (x113 >> 25); + uint32_t x115 = (uint32_t)(x113 & UINT32_C(0x1ffffff)); + uint64_t x116 = (x114 + x111); + uint64_t x117 = (x116 >> 26); + uint32_t x118 = (uint32_t)(x116 & UINT32_C(0x3ffffff)); + uint64_t x119 = (x117 + x110); + uint64_t x120 = (x119 >> 25); + uint32_t x121 = (uint32_t)(x119 & UINT32_C(0x1ffffff)); + uint64_t x122 = (x120 + x109); + uint64_t x123 = (x122 >> 26); + uint32_t x124 = (uint32_t)(x122 & UINT32_C(0x3ffffff)); + uint64_t x125 = (x123 + x108); + uint64_t x126 = (x125 >> 25); + uint32_t x127 = (uint32_t)(x125 & UINT32_C(0x1ffffff)); + uint64_t x128 = (x126 + x107); + uint64_t x129 = (x128 >> 26); + uint32_t x130 = (uint32_t)(x128 & UINT32_C(0x3ffffff)); + uint64_t x131 = (x129 + x106); + uint64_t x132 = (x131 >> 25); + uint32_t x133 = (uint32_t)(x131 & UINT32_C(0x1ffffff)); + uint64_t x134 = (x132 + x105); + uint64_t x135 = (x134 >> 26); + uint32_t x136 = (uint32_t)(x134 & UINT32_C(0x3ffffff)); + uint64_t x137 = (x135 + x104); + uint64_t x138 = (x137 >> 25); + uint32_t x139 = (uint32_t)(x137 & UINT32_C(0x1ffffff)); + uint64_t x140 = (x138 * (uint64_t)UINT8_C(0x13)); + uint64_t x141 = (x103 + x140); + uint32_t x142 = (uint32_t)(x141 >> 26); + uint32_t x143 = (uint32_t)(x141 & UINT32_C(0x3ffffff)); + uint32_t x144 = (x142 + x115); + uint32_t x145 = (x144 >> 25); + uint32_t x146 = (x144 & UINT32_C(0x1ffffff)); + uint32_t x147 = (x145 + x118); + out1[0] = x143; + out1[1] = x146; + out1[2] = x147; + out1[3] = x121; + out1[4] = x124; + out1[5] = x127; + out1[6] = x130; + out1[7] = x133; + out1[8] = x136; + out1[9] = x139; +} - cswap(x_2, x_3, swap); - for (j = 0; j < 32; ++j) { - x_2_out[j] = x_2[j]; - } - for (j = 0; j < 32; ++j) { - z_2_out[j] = x_2[j + 32]; - } +static void +fe_mul(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10]) +{ + assert_fe_loose(arg1); + assert_fe_loose(arg2); + fiat_25519_carry_mul(out1, arg1, arg2); + assert_fe(out1); +} + +static void +fe_mul_ttt(fe *h, const fe *f, const fe *g) +{ + fe_mul(h->v, f->v, g->v); } static void -recip(elem out, const elem z) -{ - elem z2; - elem z9; - elem z11; - elem z2_5_0; - elem z2_10_0; - elem z2_20_0; - elem z2_50_0; - elem z2_100_0; - elem t0; - elem t1; +fe_mul_tlt(fe *h, const fe_loose *f, const fe *g) +{ + fe_mul(h->v, f->v, g->v); +} + +static void +fe_mul_tll(fe *h, const fe_loose *f, const fe_loose *g) +{ + fe_mul(h->v, f->v, g->v); +} + +static void +fe_sq(uint32_t out[10], const uint32_t in1[10]) +{ + const uint32_t x17 = in1[9]; + const uint32_t x18 = in1[8]; + const uint32_t x16 = in1[7]; + const uint32_t x14 = in1[6]; + const uint32_t x12 = in1[5]; + const uint32_t x10 = in1[4]; + const uint32_t x8 = in1[3]; + const uint32_t x6 = in1[2]; + const uint32_t x4 = in1[1]; + const uint32_t x2 = in1[0]; + uint64_t x19 = ((uint64_t)x2 * x2); + uint64_t x20 = ((uint64_t)(0x2 * x2) * x4); + uint64_t x21 = (0x2 * (((uint64_t)x4 * x4) + ((uint64_t)x2 * x6))); + uint64_t x22 = (0x2 * (((uint64_t)x4 * x6) + ((uint64_t)x2 * x8))); + uint64_t x23 = ((((uint64_t)x6 * x6) + ((uint64_t)(0x4 * x4) * x8)) + ((uint64_t)(0x2 * x2) * x10)); + uint64_t x24 = (0x2 * ((((uint64_t)x6 * x8) + ((uint64_t)x4 * x10)) + ((uint64_t)x2 * x12))); + uint64_t x25 = (0x2 * (((((uint64_t)x8 * x8) + ((uint64_t)x6 * x10)) + ((uint64_t)x2 * x14)) + ((uint64_t)(0x2 * x4) * x12))); + uint64_t x26 = (0x2 * (((((uint64_t)x8 * x10) + ((uint64_t)x6 * x12)) + ((uint64_t)x4 * x14)) + ((uint64_t)x2 * x16))); + uint64_t x27 = (((uint64_t)x10 * x10) + (0x2 * ((((uint64_t)x6 * x14) + ((uint64_t)x2 * x18)) + (0x2 * (((uint64_t)x4 * x16) + ((uint64_t)x8 * x12)))))); + uint64_t x28 = (0x2 * ((((((uint64_t)x10 * x12) + ((uint64_t)x8 * x14)) + ((uint64_t)x6 * x16)) + ((uint64_t)x4 * x18)) + ((uint64_t)x2 * x17))); + uint64_t x29 = (0x2 * (((((uint64_t)x12 * x12) + ((uint64_t)x10 * x14)) + ((uint64_t)x6 * x18)) + (0x2 * (((uint64_t)x8 * x16) + ((uint64_t)x4 * x17))))); + uint64_t x30 = (0x2 * (((((uint64_t)x12 * x14) + ((uint64_t)x10 * x16)) + ((uint64_t)x8 * x18)) + ((uint64_t)x6 * x17))); + uint64_t x31 = (((uint64_t)x14 * x14) + (0x2 * (((uint64_t)x10 * x18) + (0x2 * (((uint64_t)x12 * x16) + ((uint64_t)x8 * x17)))))); + uint64_t x32 = (0x2 * ((((uint64_t)x14 * x16) + ((uint64_t)x12 * x18)) + ((uint64_t)x10 * x17))); + uint64_t x33 = (0x2 * ((((uint64_t)x16 * x16) + ((uint64_t)x14 * x18)) + ((uint64_t)(0x2 * x12) * x17))); + uint64_t x34 = (0x2 * (((uint64_t)x16 * x18) + ((uint64_t)x14 * x17))); + uint64_t x35 = (((uint64_t)x18 * x18) + ((uint64_t)(0x4 * x16) * x17)); + uint64_t x36 = ((uint64_t)(0x2 * x18) * x17); + uint64_t x37 = ((uint64_t)(0x2 * x17) * x17); + uint64_t x38 = (x27 + (x37 << 0x4)); + uint64_t x39 = (x38 + (x37 << 0x1)); + uint64_t x40 = (x39 + x37); + uint64_t x41 = (x26 + (x36 << 0x4)); + uint64_t x42 = (x41 + (x36 << 0x1)); + uint64_t x43 = (x42 + x36); + uint64_t x44 = (x25 + (x35 << 0x4)); + uint64_t x45 = (x44 + (x35 << 0x1)); + uint64_t x46 = (x45 + x35); + uint64_t x47 = (x24 + (x34 << 0x4)); + uint64_t x48 = (x47 + (x34 << 0x1)); + uint64_t x49 = (x48 + x34); + uint64_t x50 = (x23 + (x33 << 0x4)); + uint64_t x51 = (x50 + (x33 << 0x1)); + uint64_t x52 = (x51 + x33); + uint64_t x53 = (x22 + (x32 << 0x4)); + uint64_t x54 = (x53 + (x32 << 0x1)); + uint64_t x55 = (x54 + x32); + uint64_t x56 = (x21 + (x31 << 0x4)); + uint64_t x57 = (x56 + (x31 << 0x1)); + uint64_t x58 = (x57 + x31); + uint64_t x59 = (x20 + (x30 << 0x4)); + uint64_t x60 = (x59 + (x30 << 0x1)); + uint64_t x61 = (x60 + x30); + uint64_t x62 = (x19 + (x29 << 0x4)); + uint64_t x63 = (x62 + (x29 << 0x1)); + uint64_t x64 = (x63 + x29); + uint64_t x65 = (x64 >> 0x1a); + uint32_t x66 = ((uint32_t)x64 & 0x3ffffff); + uint64_t x67 = (x65 + x61); + uint64_t x68 = (x67 >> 0x19); + uint32_t x69 = ((uint32_t)x67 & 0x1ffffff); + uint64_t x70 = (x68 + x58); + uint64_t x71 = (x70 >> 0x1a); + uint32_t x72 = ((uint32_t)x70 & 0x3ffffff); + uint64_t x73 = (x71 + x55); + uint64_t x74 = (x73 >> 0x19); + uint32_t x75 = ((uint32_t)x73 & 0x1ffffff); + uint64_t x76 = (x74 + x52); + uint64_t x77 = (x76 >> 0x1a); + uint32_t x78 = ((uint32_t)x76 & 0x3ffffff); + uint64_t x79 = (x77 + x49); + uint64_t x80 = (x79 >> 0x19); + uint32_t x81 = ((uint32_t)x79 & 0x1ffffff); + uint64_t x82 = (x80 + x46); + uint64_t x83 = (x82 >> 0x1a); + uint32_t x84 = ((uint32_t)x82 & 0x3ffffff); + uint64_t x85 = (x83 + x43); + uint64_t x86 = (x85 >> 0x19); + uint32_t x87 = ((uint32_t)x85 & 0x1ffffff); + uint64_t x88 = (x86 + x40); + uint64_t x89 = (x88 >> 0x1a); + uint32_t x90 = ((uint32_t)x88 & 0x3ffffff); + uint64_t x91 = (x89 + x28); + uint64_t x92 = (x91 >> 0x19); + uint32_t x93 = ((uint32_t)x91 & 0x1ffffff); + uint64_t x94 = (x66 + (0x13 * x92)); + uint32_t x95 = (uint32_t)(x94 >> 0x1a); + uint32_t x96 = ((uint32_t)x94 & 0x3ffffff); + uint32_t x97 = (x95 + x69); + uint32_t x98 = (x97 >> 0x19); + uint32_t x99 = (x97 & 0x1ffffff); + out[0] = x96; + out[1] = x99; + out[2] = (x98 + x72); + out[3] = x75; + out[4] = x78; + out[5] = x81; + out[6] = x84; + out[7] = x87; + out[8] = x90; + out[9] = x93; +} + +static void +fe_sq_tl(fe *h, const fe_loose *f) +{ + fe_sq(h->v, f->v); +} + +static void +fe_sq_tt(fe *h, const fe *f) +{ + fe_sq(h->v, f->v); +} + +static inline void +fe_loose_invert(fe *out, const fe_loose *z) +{ + fe t0, t1, t2, t3; int i; - /* 2 */ square(z2, z); - /* 4 */ square(t1, z2); - /* 8 */ square(t0, t1); - /* 9 */ mult(z9, t0, z); - /* 11 */ mult(z11, z9, z2); - /* 22 */ square(t0, z11); - /* 2^5 - 2^0 = 31 */ mult(z2_5_0, t0, z9); - - /* 2^6 - 2^1 */ square(t0, z2_5_0); - /* 2^7 - 2^2 */ square(t1, t0); - /* 2^8 - 2^3 */ square(t0, t1); - /* 2^9 - 2^4 */ square(t1, t0); - /* 2^10 - 2^5 */ square(t0, t1); - /* 2^10 - 2^0 */ mult(z2_10_0, t0, z2_5_0); - - /* 2^11 - 2^1 */ square(t0, z2_10_0); - /* 2^12 - 2^2 */ square(t1, t0); - /* 2^20 - 2^10 */ - for (i = 2; i < 10; i += 2) { - square(t0, t1); - square(t1, t0); + fe_sq_tl(&t0, z); + fe_sq_tt(&t1, &t0); + for (i = 1; i < 2; ++i) { + fe_sq_tt(&t1, &t1); + } + fe_mul_tlt(&t1, z, &t1); + fe_mul_ttt(&t0, &t0, &t1); + fe_sq_tt(&t2, &t0); + fe_mul_ttt(&t1, &t1, &t2); + fe_sq_tt(&t2, &t1); + for (i = 1; i < 5; ++i) { + fe_sq_tt(&t2, &t2); + } + fe_mul_ttt(&t1, &t2, &t1); + fe_sq_tt(&t2, &t1); + for (i = 1; i < 10; ++i) { + fe_sq_tt(&t2, &t2); + } + fe_mul_ttt(&t2, &t2, &t1); + fe_sq_tt(&t3, &t2); + for (i = 1; i < 20; ++i) { + fe_sq_tt(&t3, &t3); } - /* 2^20 - 2^0 */ mult(z2_20_0, t1, z2_10_0); - - /* 2^21 - 2^1 */ square(t0, z2_20_0); - /* 2^22 - 2^2 */ square(t1, t0); - /* 2^40 - 2^20 */ - for (i = 2; i < 20; i += 2) { - square(t0, t1); - square(t1, t0); + fe_mul_ttt(&t2, &t3, &t2); + fe_sq_tt(&t2, &t2); + for (i = 1; i < 10; ++i) { + fe_sq_tt(&t2, &t2); } - /* 2^40 - 2^0 */ mult(t0, t1, z2_20_0); - - /* 2^41 - 2^1 */ square(t1, t0); - /* 2^42 - 2^2 */ square(t0, t1); - /* 2^50 - 2^10 */ - for (i = 2; i < 10; i += 2) { - square(t1, t0); - square(t0, t1); + fe_mul_ttt(&t1, &t2, &t1); + fe_sq_tt(&t2, &t1); + for (i = 1; i < 50; ++i) { + fe_sq_tt(&t2, &t2); } - /* 2^50 - 2^0 */ mult(z2_50_0, t0, z2_10_0); - - /* 2^51 - 2^1 */ square(t0, z2_50_0); - /* 2^52 - 2^2 */ square(t1, t0); - /* 2^100 - 2^50 */ - for (i = 2; i < 50; i += 2) { - square(t0, t1); - square(t1, t0); + fe_mul_ttt(&t2, &t2, &t1); + fe_sq_tt(&t3, &t2); + for (i = 1; i < 100; ++i) { + fe_sq_tt(&t3, &t3); } - /* 2^100 - 2^0 */ mult(z2_100_0, t1, z2_50_0); - - /* 2^101 - 2^1 */ square(t1, z2_100_0); - /* 2^102 - 2^2 */ square(t0, t1); - /* 2^200 - 2^100 */ - for (i = 2; i < 100; i += 2) { - square(t1, t0); - square(t0, t1); + fe_mul_ttt(&t2, &t3, &t2); + fe_sq_tt(&t2, &t2); + for (i = 1; i < 50; ++i) { + fe_sq_tt(&t2, &t2); } - /* 2^200 - 2^0 */ mult(t1, t0, z2_100_0); - - /* 2^201 - 2^1 */ square(t0, t1); - /* 2^202 - 2^2 */ square(t1, t0); - /* 2^250 - 2^50 */ - for (i = 2; i < 50; i += 2) { - square(t0, t1); - square(t1, t0); + fe_mul_ttt(&t1, &t2, &t1); + fe_sq_tt(&t1, &t1); + for (i = 1; i < 5; ++i) { + fe_sq_tt(&t1, &t1); } - /* 2^250 - 2^0 */ mult(t0, t1, z2_50_0); + fe_mul_ttt(out, &t1, &t0); +} - /* 2^251 - 2^1 */ square(t1, t0); - /* 2^252 - 2^2 */ square(t0, t1); - /* 2^253 - 2^3 */ square(t1, t0); - /* 2^254 - 2^4 */ square(t0, t1); - /* 2^255 - 2^5 */ square(t1, t0); - /* 2^255 - 21 */ mult(out, t1, z11); +static inline void +fe_invert(fe *out, const fe *z) +{ + fe_loose l; + fe_copy_lt(&l, z); + fe_loose_invert(out, &l); } -/* - * Computes q = Curve25519(p, s) +/* Replace (f,g) with (g,f) if b == 1; + * replace (f,g) with (f,g) if b == 0. + * + * Preconditions: b in {0,1} */ -SECStatus -ec_Curve25519_mul(PRUint8 *q, const PRUint8 *s, const PRUint8 *p) -{ - elem point = { 0 }; - elem x_2 = { 0 }; - elem z_2 = { 0 }; - elem X = { 0 }; - elem scalar = { 0 }; - uint32_t i; - - /* read and mask scalar */ - for (i = 0; i < 32; ++i) { - scalar[i] = s[i]; +static inline void +fe_cswap(fe *f, fe *g, unsigned int b) +{ + PORT_Assert(b < 2); + unsigned int i; + b = 0 - b; + for (i = 0; i < 10; i++) { + uint32_t x = f->v[i] ^ g->v[i]; + x &= b; + f->v[i] ^= x; + g->v[i] ^= x; } - scalar[0] &= 0xF8; - scalar[31] &= 0x7F; - scalar[31] |= 64; +} - /* read and mask point */ - for (i = 0; i < 32; ++i) { - point[i] = p[i]; - } - point[31] &= 0x7F; - - monty(x_2, z_2, point, scalar); - recip(z_2, z_2); - mult(X, x_2, z_2); - reduce(X); - for (i = 0; i < 32; ++i) { - q[i] = X[i]; +/* NOTE: based on fiat-crypto fe_mul, edited for in2=121666, 0, 0.*/ +static inline void +fe_mul_121666(uint32_t out[10], const uint32_t in1[10]) +{ + const uint32_t x20 = in1[9]; + const uint32_t x21 = in1[8]; + const uint32_t x19 = in1[7]; + const uint32_t x17 = in1[6]; + const uint32_t x15 = in1[5]; + const uint32_t x13 = in1[4]; + const uint32_t x11 = in1[3]; + const uint32_t x9 = in1[2]; + const uint32_t x7 = in1[1]; + const uint32_t x5 = in1[0]; + const uint32_t x38 = 0; + const uint32_t x39 = 0; + const uint32_t x37 = 0; + const uint32_t x35 = 0; + const uint32_t x33 = 0; + const uint32_t x31 = 0; + const uint32_t x29 = 0; + const uint32_t x27 = 0; + const uint32_t x25 = 0; + const uint32_t x23 = 121666; + uint64_t x40 = ((uint64_t)x23 * x5); + uint64_t x41 = (((uint64_t)x23 * x7) + ((uint64_t)x25 * x5)); + uint64_t x42 = ((((uint64_t)(0x2 * x25) * x7) + ((uint64_t)x23 * x9)) + ((uint64_t)x27 * x5)); + uint64_t x43 = (((((uint64_t)x25 * x9) + ((uint64_t)x27 * x7)) + ((uint64_t)x23 * x11)) + ((uint64_t)x29 * x5)); + uint64_t x44 = (((((uint64_t)x27 * x9) + (0x2 * (((uint64_t)x25 * x11) + ((uint64_t)x29 * x7)))) + ((uint64_t)x23 * x13)) + ((uint64_t)x31 * x5)); + uint64_t x45 = (((((((uint64_t)x27 * x11) + ((uint64_t)x29 * x9)) + ((uint64_t)x25 * x13)) + ((uint64_t)x31 * x7)) + ((uint64_t)x23 * x15)) + ((uint64_t)x33 * x5)); + uint64_t x46 = (((((0x2 * ((((uint64_t)x29 * x11) + ((uint64_t)x25 * x15)) + ((uint64_t)x33 * x7))) + ((uint64_t)x27 * x13)) + ((uint64_t)x31 * x9)) + ((uint64_t)x23 * x17)) + ((uint64_t)x35 * x5)); + uint64_t x47 = (((((((((uint64_t)x29 * x13) + ((uint64_t)x31 * x11)) + ((uint64_t)x27 * x15)) + ((uint64_t)x33 * x9)) + ((uint64_t)x25 * x17)) + ((uint64_t)x35 * x7)) + ((uint64_t)x23 * x19)) + ((uint64_t)x37 * x5)); + uint64_t x48 = (((((((uint64_t)x31 * x13) + (0x2 * (((((uint64_t)x29 * x15) + ((uint64_t)x33 * x11)) + ((uint64_t)x25 * x19)) + ((uint64_t)x37 * x7)))) + ((uint64_t)x27 * x17)) + ((uint64_t)x35 * x9)) + ((uint64_t)x23 * x21)) + ((uint64_t)x39 * x5)); + uint64_t x49 = (((((((((((uint64_t)x31 * x15) + ((uint64_t)x33 * x13)) + ((uint64_t)x29 * x17)) + ((uint64_t)x35 * x11)) + ((uint64_t)x27 * x19)) + ((uint64_t)x37 * x9)) + ((uint64_t)x25 * x21)) + ((uint64_t)x39 * x7)) + ((uint64_t)x23 * x20)) + ((uint64_t)x38 * x5)); + uint64_t x50 = (((((0x2 * ((((((uint64_t)x33 * x15) + ((uint64_t)x29 * x19)) + ((uint64_t)x37 * x11)) + ((uint64_t)x25 * x20)) + ((uint64_t)x38 * x7))) + ((uint64_t)x31 * x17)) + ((uint64_t)x35 * x13)) + ((uint64_t)x27 * x21)) + ((uint64_t)x39 * x9)); + uint64_t x51 = (((((((((uint64_t)x33 * x17) + ((uint64_t)x35 * x15)) + ((uint64_t)x31 * x19)) + ((uint64_t)x37 * x13)) + ((uint64_t)x29 * x21)) + ((uint64_t)x39 * x11)) + ((uint64_t)x27 * x20)) + ((uint64_t)x38 * x9)); + uint64_t x52 = (((((uint64_t)x35 * x17) + (0x2 * (((((uint64_t)x33 * x19) + ((uint64_t)x37 * x15)) + ((uint64_t)x29 * x20)) + ((uint64_t)x38 * x11)))) + ((uint64_t)x31 * x21)) + ((uint64_t)x39 * x13)); + uint64_t x53 = (((((((uint64_t)x35 * x19) + ((uint64_t)x37 * x17)) + ((uint64_t)x33 * x21)) + ((uint64_t)x39 * x15)) + ((uint64_t)x31 * x20)) + ((uint64_t)x38 * x13)); + uint64_t x54 = (((0x2 * ((((uint64_t)x37 * x19) + ((uint64_t)x33 * x20)) + ((uint64_t)x38 * x15))) + ((uint64_t)x35 * x21)) + ((uint64_t)x39 * x17)); + uint64_t x55 = (((((uint64_t)x37 * x21) + ((uint64_t)x39 * x19)) + ((uint64_t)x35 * x20)) + ((uint64_t)x38 * x17)); + uint64_t x56 = (((uint64_t)x39 * x21) + (0x2 * (((uint64_t)x37 * x20) + ((uint64_t)x38 * x19)))); + uint64_t x57 = (((uint64_t)x39 * x20) + ((uint64_t)x38 * x21)); + uint64_t x58 = ((uint64_t)(0x2 * x38) * x20); + uint64_t x59 = (x48 + (x58 << 0x4)); + uint64_t x60 = (x59 + (x58 << 0x1)); + uint64_t x61 = (x60 + x58); + uint64_t x62 = (x47 + (x57 << 0x4)); + uint64_t x63 = (x62 + (x57 << 0x1)); + uint64_t x64 = (x63 + x57); + uint64_t x65 = (x46 + (x56 << 0x4)); + uint64_t x66 = (x65 + (x56 << 0x1)); + uint64_t x67 = (x66 + x56); + uint64_t x68 = (x45 + (x55 << 0x4)); + uint64_t x69 = (x68 + (x55 << 0x1)); + uint64_t x70 = (x69 + x55); + uint64_t x71 = (x44 + (x54 << 0x4)); + uint64_t x72 = (x71 + (x54 << 0x1)); + uint64_t x73 = (x72 + x54); + uint64_t x74 = (x43 + (x53 << 0x4)); + uint64_t x75 = (x74 + (x53 << 0x1)); + uint64_t x76 = (x75 + x53); + uint64_t x77 = (x42 + (x52 << 0x4)); + uint64_t x78 = (x77 + (x52 << 0x1)); + uint64_t x79 = (x78 + x52); + uint64_t x80 = (x41 + (x51 << 0x4)); + uint64_t x81 = (x80 + (x51 << 0x1)); + uint64_t x82 = (x81 + x51); + uint64_t x83 = (x40 + (x50 << 0x4)); + uint64_t x84 = (x83 + (x50 << 0x1)); + uint64_t x85 = (x84 + x50); + uint64_t x86 = (x85 >> 0x1a); + uint32_t x87 = ((uint32_t)x85 & 0x3ffffff); + uint64_t x88 = (x86 + x82); + uint64_t x89 = (x88 >> 0x19); + uint32_t x90 = ((uint32_t)x88 & 0x1ffffff); + uint64_t x91 = (x89 + x79); + uint64_t x92 = (x91 >> 0x1a); + uint32_t x93 = ((uint32_t)x91 & 0x3ffffff); + uint64_t x94 = (x92 + x76); + uint64_t x95 = (x94 >> 0x19); + uint32_t x96 = ((uint32_t)x94 & 0x1ffffff); + uint64_t x97 = (x95 + x73); + uint64_t x98 = (x97 >> 0x1a); + uint32_t x99 = ((uint32_t)x97 & 0x3ffffff); + uint64_t x100 = (x98 + x70); + uint64_t x101 = (x100 >> 0x19); + uint32_t x102 = ((uint32_t)x100 & 0x1ffffff); + uint64_t x103 = (x101 + x67); + uint64_t x104 = (x103 >> 0x1a); + uint32_t x105 = ((uint32_t)x103 & 0x3ffffff); + uint64_t x106 = (x104 + x64); + uint64_t x107 = (x106 >> 0x19); + uint32_t x108 = ((uint32_t)x106 & 0x1ffffff); + uint64_t x109 = (x107 + x61); + uint64_t x110 = (x109 >> 0x1a); + uint32_t x111 = ((uint32_t)x109 & 0x3ffffff); + uint64_t x112 = (x110 + x49); + uint64_t x113 = (x112 >> 0x19); + uint32_t x114 = ((uint32_t)x112 & 0x1ffffff); + uint64_t x115 = (x87 + (0x13 * x113)); + uint32_t x116 = (uint32_t)(x115 >> 0x1a); + uint32_t x117 = ((uint32_t)x115 & 0x3ffffff); + uint32_t x118 = (x116 + x90); + uint32_t x119 = (x118 >> 0x19); + uint32_t x120 = (x118 & 0x1ffffff); + out[0] = x117; + out[1] = x120; + out[2] = (x119 + x93); + out[3] = x96; + out[4] = x99; + out[5] = x102; + out[6] = x105; + out[7] = x108; + out[8] = x111; + out[9] = x114; +} + +static void +fe_mul_121666_tl(fe *h, const fe_loose *f) +{ + assert_fe_loose(f->v); + fe_mul_121666(h->v, f->v); + assert_fe(h->v); +} + +SECStatus +ec_Curve25519_mul(PRUint8 *out, const PRUint8 *scalar, const PRUint8 *point) +{ + fe x1, x2, z2, x3, z3, tmp0, tmp1; + fe_loose x2l, z2l, x3l, tmp0l, tmp1l; + unsigned int swap = 0; + unsigned int b; + int pos; + uint8_t e[32]; + + memcpy(e, scalar, 32); + e[0] &= 0xF8; + e[31] &= 0x7F; + e[31] |= 0x40; + + fe_frombytes(&x1, point); + fe_1(&x2); + fe_0(&z2); + fe_copy(&x3, &x1); + fe_1(&z3); + + for (pos = 254; pos >= 0; --pos) { + b = e[pos / 8] >> (pos & 7); + b &= 1; + swap ^= b; + fe_cswap(&x2, &x3, swap); + fe_cswap(&z2, &z3, swap); + swap = b; + fe_sub(&tmp0l, &x3, &z3); + fe_sub(&tmp1l, &x2, &z2); + fe_add(&x2l, &x2, &z2); + fe_add(&z2l, &x3, &z3); + fe_mul_tll(&z3, &tmp0l, &x2l); + fe_mul_tll(&z2, &z2l, &tmp1l); + fe_sq_tl(&tmp0, &tmp1l); + fe_sq_tl(&tmp1, &x2l); + fe_add(&x3l, &z3, &z2); + fe_sub(&z2l, &z3, &z2); + fe_mul_ttt(&x2, &tmp1, &tmp0); + fe_sub(&tmp1l, &tmp1, &tmp0); + fe_sq_tl(&z2, &z2l); + fe_mul_121666_tl(&z3, &tmp1l); + fe_sq_tl(&x3, &x3l); + fe_add(&tmp0l, &tmp0, &z3); + fe_mul_ttt(&z3, &x1, &z2); + fe_mul_tll(&z2, &tmp1l, &tmp0l); } + + fe_cswap(&x2, &x3, swap); + fe_cswap(&z2, &z3, swap); + + fe_invert(&z2, &z2); + fe_mul_ttt(&x2, &x2, &z2); + fe_tobytes(out, &x2); + + memset(x1.v, 0, sizeof(x1)); + memset(x2.v, 0, sizeof(x2)); + memset(z2.v, 0, sizeof(z2)); + memset(x3.v, 0, sizeof(x3)); + memset(z3.v, 0, sizeof(z3)); + memset(x2l.v, 0, sizeof(x2l)); + memset(z2l.v, 0, sizeof(z2l)); + memset(x3l.v, 0, sizeof(x3l)); + memset(e, 0, sizeof(e)); return 0; } |