diff --git a/native/curve25519-donna.c b/native/curve25519-donna.c deleted file mode 100644 index f2c2ac58e..000000000 --- a/native/curve25519-donna.c +++ /dev/null @@ -1,870 +0,0 @@ -/* Copyright 2008, Google Inc. - * All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions are - * met: - * - * * Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * * Redistributions in binary form must reproduce the above - * copyright notice, this list of conditions and the following disclaimer - * in the documentation and/or other materials provided with the - * distribution. - * * Neither the name of Google Inc. nor the names of its - * contributors may be used to endorse or promote products derived from - * this software without specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS - * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT - * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR - * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT - * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT - * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, - * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY - * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT - * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE - * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. - * - * curve25519-donna: Curve25519 elliptic curve, public key function - * - * http://code.google.com/p/curve25519-donna/ - * - * Adam Langley - * - * Derived from public domain C code by Daniel J. Bernstein - * - * 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 -#include - -#ifdef _MSC_VER -#define inline __inline -#endif - -typedef uint8_t u8; -typedef int32_t s32; -typedef int64_t limb; - -/* Field element representation: - * - * Field elements are written as an array of signed, 64-bit limbs, least - * significant first. The value of the field element is: - * x[0] + 2^26·x[1] + x^51·x[2] + 2^102·x[3] + ... - * - * i.e. the limbs are 26, 25, 26, 25, ... bits wide. */ - -/* Sum two numbers: output += in */ -static void fsum(limb *output, const limb *in) { - unsigned i; - for (i = 0; i < 10; i += 2) { - output[0+i] = output[0+i] + in[0+i]; - output[1+i] = output[1+i] + in[1+i]; - } -} - -/* Find the difference of two numbers: output = in - output - * (note the order of the arguments!). */ -static void fdifference(limb *output, const limb *in) { - unsigned i; - for (i = 0; i < 10; ++i) { - output[i] = in[i] - output[i]; - } -} - -/* Multiply a number by a scalar: output = in * scalar */ -static void fscalar_product(limb *output, const limb *in, const limb scalar) { - unsigned i; - for (i = 0; i < 10; ++i) { - output[i] = in[i] * scalar; - } -} - -/* Multiply two numbers: output = in2 * in - * - * output must be distinct to both inputs. The inputs are reduced coefficient - * form, the output is not. - * - * output[x] <= 14 * the largest product of the input limbs. */ -static void fproduct(limb *output, const limb *in2, const limb *in) { - output[0] = ((limb) ((s32) in2[0])) * ((s32) in[0]); - output[1] = ((limb) ((s32) in2[0])) * ((s32) in[1]) + - ((limb) ((s32) in2[1])) * ((s32) in[0]); - output[2] = 2 * ((limb) ((s32) in2[1])) * ((s32) in[1]) + - ((limb) ((s32) in2[0])) * ((s32) in[2]) + - ((limb) ((s32) in2[2])) * ((s32) in[0]); - output[3] = ((limb) ((s32) in2[1])) * ((s32) in[2]) + - ((limb) ((s32) in2[2])) * ((s32) in[1]) + - ((limb) ((s32) in2[0])) * ((s32) in[3]) + - ((limb) ((s32) in2[3])) * ((s32) in[0]); - output[4] = ((limb) ((s32) in2[2])) * ((s32) in[2]) + - 2 * (((limb) ((s32) in2[1])) * ((s32) in[3]) + - ((limb) ((s32) in2[3])) * ((s32) in[1])) + - ((limb) ((s32) in2[0])) * ((s32) in[4]) + - ((limb) ((s32) in2[4])) * ((s32) in[0]); - output[5] = ((limb) ((s32) in2[2])) * ((s32) in[3]) + - ((limb) ((s32) in2[3])) * ((s32) in[2]) + - ((limb) ((s32) in2[1])) * ((s32) in[4]) + - ((limb) ((s32) in2[4])) * ((s32) in[1]) + - ((limb) ((s32) in2[0])) * ((s32) in[5]) + - ((limb) ((s32) in2[5])) * ((s32) in[0]); - output[6] = 2 * (((limb) ((s32) in2[3])) * ((s32) in[3]) + - ((limb) ((s32) in2[1])) * ((s32) in[5]) + - ((limb) ((s32) in2[5])) * ((s32) in[1])) + - ((limb) ((s32) in2[2])) * ((s32) in[4]) + - ((limb) ((s32) in2[4])) * ((s32) in[2]) + - ((limb) ((s32) in2[0])) * ((s32) in[6]) + - ((limb) ((s32) in2[6])) * ((s32) in[0]); - output[7] = ((limb) ((s32) in2[3])) * ((s32) in[4]) + - ((limb) ((s32) in2[4])) * ((s32) in[3]) + - ((limb) ((s32) in2[2])) * ((s32) in[5]) + - ((limb) ((s32) in2[5])) * ((s32) in[2]) + - ((limb) ((s32) in2[1])) * ((s32) in[6]) + - ((limb) ((s32) in2[6])) * ((s32) in[1]) + - ((limb) ((s32) in2[0])) * ((s32) in[7]) + - ((limb) ((s32) in2[7])) * ((s32) in[0]); - output[8] = ((limb) ((s32) in2[4])) * ((s32) in[4]) + - 2 * (((limb) ((s32) in2[3])) * ((s32) in[5]) + - ((limb) ((s32) in2[5])) * ((s32) in[3]) + - ((limb) ((s32) in2[1])) * ((s32) in[7]) + - ((limb) ((s32) in2[7])) * ((s32) in[1])) + - ((limb) ((s32) in2[2])) * ((s32) in[6]) + - ((limb) ((s32) in2[6])) * ((s32) in[2]) + - ((limb) ((s32) in2[0])) * ((s32) in[8]) + - ((limb) ((s32) in2[8])) * ((s32) in[0]); - output[9] = ((limb) ((s32) in2[4])) * ((s32) in[5]) + - ((limb) ((s32) in2[5])) * ((s32) in[4]) + - ((limb) ((s32) in2[3])) * ((s32) in[6]) + - ((limb) ((s32) in2[6])) * ((s32) in[3]) + - ((limb) ((s32) in2[2])) * ((s32) in[7]) + - ((limb) ((s32) in2[7])) * ((s32) in[2]) + - ((limb) ((s32) in2[1])) * ((s32) in[8]) + - ((limb) ((s32) in2[8])) * ((s32) in[1]) + - ((limb) ((s32) in2[0])) * ((s32) in[9]) + - ((limb) ((s32) in2[9])) * ((s32) in[0]); - output[10] = 2 * (((limb) ((s32) in2[5])) * ((s32) in[5]) + - ((limb) ((s32) in2[3])) * ((s32) in[7]) + - ((limb) ((s32) in2[7])) * ((s32) in[3]) + - ((limb) ((s32) in2[1])) * ((s32) in[9]) + - ((limb) ((s32) in2[9])) * ((s32) in[1])) + - ((limb) ((s32) in2[4])) * ((s32) in[6]) + - ((limb) ((s32) in2[6])) * ((s32) in[4]) + - ((limb) ((s32) in2[2])) * ((s32) in[8]) + - ((limb) ((s32) in2[8])) * ((s32) in[2]); - output[11] = ((limb) ((s32) in2[5])) * ((s32) in[6]) + - ((limb) ((s32) in2[6])) * ((s32) in[5]) + - ((limb) ((s32) in2[4])) * ((s32) in[7]) + - ((limb) ((s32) in2[7])) * ((s32) in[4]) + - ((limb) ((s32) in2[3])) * ((s32) in[8]) + - ((limb) ((s32) in2[8])) * ((s32) in[3]) + - ((limb) ((s32) in2[2])) * ((s32) in[9]) + - ((limb) ((s32) in2[9])) * ((s32) in[2]); - output[12] = ((limb) ((s32) in2[6])) * ((s32) in[6]) + - 2 * (((limb) ((s32) in2[5])) * ((s32) in[7]) + - ((limb) ((s32) in2[7])) * ((s32) in[5]) + - ((limb) ((s32) in2[3])) * ((s32) in[9]) + - ((limb) ((s32) in2[9])) * ((s32) in[3])) + - ((limb) ((s32) in2[4])) * ((s32) in[8]) + - ((limb) ((s32) in2[8])) * ((s32) in[4]); - output[13] = ((limb) ((s32) in2[6])) * ((s32) in[7]) + - ((limb) ((s32) in2[7])) * ((s32) in[6]) + - ((limb) ((s32) in2[5])) * ((s32) in[8]) + - ((limb) ((s32) in2[8])) * ((s32) in[5]) + - ((limb) ((s32) in2[4])) * ((s32) in[9]) + - ((limb) ((s32) in2[9])) * ((s32) in[4]); - output[14] = 2 * (((limb) ((s32) in2[7])) * ((s32) in[7]) + - ((limb) ((s32) in2[5])) * ((s32) in[9]) + - ((limb) ((s32) in2[9])) * ((s32) in[5])) + - ((limb) ((s32) in2[6])) * ((s32) in[8]) + - ((limb) ((s32) in2[8])) * ((s32) in[6]); - output[15] = ((limb) ((s32) in2[7])) * ((s32) in[8]) + - ((limb) ((s32) in2[8])) * ((s32) in[7]) + - ((limb) ((s32) in2[6])) * ((s32) in[9]) + - ((limb) ((s32) in2[9])) * ((s32) in[6]); - output[16] = ((limb) ((s32) in2[8])) * ((s32) in[8]) + - 2 * (((limb) ((s32) in2[7])) * ((s32) in[9]) + - ((limb) ((s32) in2[9])) * ((s32) in[7])); - output[17] = ((limb) ((s32) in2[8])) * ((s32) in[9]) + - ((limb) ((s32) in2[9])) * ((s32) in[8]); - output[18] = 2 * ((limb) ((s32) in2[9])) * ((s32) in[9]); -} - -/* Reduce a long form to a short form by taking the input mod 2^255 - 19. - * - * On entry: |output[i]| < 14*2^54 - * On exit: |output[0..8]| < 280*2^54 */ -static void freduce_degree(limb *output) { - /* Each of these shifts and adds ends up multiplying the value by 19. - * - * For output[0..8], the absolute entry value is < 14*2^54 and we add, at - * most, 19*14*2^54 thus, on exit, |output[0..8]| < 280*2^54. */ - output[8] += output[18] << 4; - output[8] += output[18] << 1; - output[8] += output[18]; - output[7] += output[17] << 4; - output[7] += output[17] << 1; - output[7] += output[17]; - output[6] += output[16] << 4; - output[6] += output[16] << 1; - output[6] += output[16]; - output[5] += output[15] << 4; - output[5] += output[15] << 1; - output[5] += output[15]; - output[4] += output[14] << 4; - output[4] += output[14] << 1; - output[4] += output[14]; - output[3] += output[13] << 4; - output[3] += output[13] << 1; - output[3] += output[13]; - output[2] += output[12] << 4; - output[2] += output[12] << 1; - output[2] += output[12]; - output[1] += output[11] << 4; - output[1] += output[11] << 1; - output[1] += output[11]; - output[0] += output[10] << 4; - output[0] += output[10] << 1; - output[0] += output[10]; -} - -#if (-1 & 3) != 3 -#error "This code only works on a two's complement system" -#endif - -/* return v / 2^26, using only shifts and adds. - * - * On entry: v can take any value. */ -static inline limb -div_by_2_26(const limb v) -{ - /* High word of v; no shift needed. */ - const uint32_t highword = (uint32_t) (((uint64_t) v) >> 32); - /* Set to all 1s if v was negative; else set to 0s. */ - const int32_t sign = ((int32_t) highword) >> 31; - /* Set to 0x3ffffff if v was negative; else set to 0. */ - const int32_t roundoff = ((uint32_t) sign) >> 6; - /* Should return v / (1<<26) */ - return (v + roundoff) >> 26; -} - -/* return v / (2^25), using only shifts and adds. - * - * On entry: v can take any value. */ -static inline limb -div_by_2_25(const limb v) -{ - /* High word of v; no shift needed*/ - const uint32_t highword = (uint32_t) (((uint64_t) v) >> 32); - /* Set to all 1s if v was negative; else set to 0s. */ - const int32_t sign = ((int32_t) highword) >> 31; - /* Set to 0x1ffffff if v was negative; else set to 0. */ - const int32_t roundoff = ((uint32_t) sign) >> 7; - /* Should return v / (1<<25) */ - return (v + roundoff) >> 25; -} - -/* return v / (2^25), using only shifts and adds. - * - * On entry: v can take any value. */ -static inline s32 -div_s32_by_2_25(const s32 v) -{ - const s32 roundoff = ((uint32_t)(v >> 31)) >> 7; - return (v + roundoff) >> 25; -} - -/* Reduce all coefficients of the short form input so that |x| < 2^26. - * - * On entry: |output[i]| < 280*2^54 */ -static void freduce_coefficients(limb *output) { - unsigned i; - - output[10] = 0; - - for (i = 0; i < 10; i += 2) { - limb over = div_by_2_26(output[i]); - /* The entry condition (that |output[i]| < 280*2^54) means that over is, at - * most, 280*2^28 in the first iteration of this loop. This is added to the - * next limb and we can approximate the resulting bound of that limb by - * 281*2^54. */ - output[i] -= over << 26; - output[i+1] += over; - - /* For the first iteration, |output[i+1]| < 281*2^54, thus |over| < - * 281*2^29. When this is added to the next limb, the resulting bound can - * be approximated as 281*2^54. - * - * For subsequent iterations of the loop, 281*2^54 remains a conservative - * bound and no overflow occurs. */ - over = div_by_2_25(output[i+1]); - output[i+1] -= over << 25; - output[i+2] += over; - } - /* Now |output[10]| < 281*2^29 and all other coefficients are reduced. */ - output[0] += output[10] << 4; - output[0] += output[10] << 1; - output[0] += output[10]; - - output[10] = 0; - - /* Now output[1..9] are reduced, and |output[0]| < 2^26 + 19*281*2^29 - * So |over| will be no more than 2^16. */ - { - limb over = div_by_2_26(output[0]); - output[0] -= over << 26; - output[1] += over; - } - - /* Now output[0,2..9] are reduced, and |output[1]| < 2^25 + 2^16 < 2^26. The - * bound on |output[1]| is sufficient to meet our needs. */ -} - -/* A helpful wrapper around fproduct: output = in * in2. - * - * On entry: |in[i]| < 2^27 and |in2[i]| < 2^27. - * - * output must be distinct to both inputs. The output is reduced degree - * (indeed, one need only provide storage for 10 limbs) and |output[i]| < 2^26. */ -static void -fmul(limb *output, const limb *in, const limb *in2) { - limb t[19]; - fproduct(t, in, in2); - /* |t[i]| < 14*2^54 */ - freduce_degree(t); - freduce_coefficients(t); - /* |t[i]| < 2^26 */ - memcpy(output, t, sizeof(limb) * 10); -} - -/* Square a number: output = in**2 - * - * output must be distinct from the input. The inputs are reduced coefficient - * form, the output is not. - * - * output[x] <= 14 * the largest product of the input limbs. */ -static void fsquare_inner(limb *output, const limb *in) { - output[0] = ((limb) ((s32) in[0])) * ((s32) in[0]); - output[1] = 2 * ((limb) ((s32) in[0])) * ((s32) in[1]); - output[2] = 2 * (((limb) ((s32) in[1])) * ((s32) in[1]) + - ((limb) ((s32) in[0])) * ((s32) in[2])); - output[3] = 2 * (((limb) ((s32) in[1])) * ((s32) in[2]) + - ((limb) ((s32) in[0])) * ((s32) in[3])); - output[4] = ((limb) ((s32) in[2])) * ((s32) in[2]) + - 4 * ((limb) ((s32) in[1])) * ((s32) in[3]) + - 2 * ((limb) ((s32) in[0])) * ((s32) in[4]); - output[5] = 2 * (((limb) ((s32) in[2])) * ((s32) in[3]) + - ((limb) ((s32) in[1])) * ((s32) in[4]) + - ((limb) ((s32) in[0])) * ((s32) in[5])); - output[6] = 2 * (((limb) ((s32) in[3])) * ((s32) in[3]) + - ((limb) ((s32) in[2])) * ((s32) in[4]) + - ((limb) ((s32) in[0])) * ((s32) in[6]) + - 2 * ((limb) ((s32) in[1])) * ((s32) in[5])); - output[7] = 2 * (((limb) ((s32) in[3])) * ((s32) in[4]) + - ((limb) ((s32) in[2])) * ((s32) in[5]) + - ((limb) ((s32) in[1])) * ((s32) in[6]) + - ((limb) ((s32) in[0])) * ((s32) in[7])); - output[8] = ((limb) ((s32) in[4])) * ((s32) in[4]) + - 2 * (((limb) ((s32) in[2])) * ((s32) in[6]) + - ((limb) ((s32) in[0])) * ((s32) in[8]) + - 2 * (((limb) ((s32) in[1])) * ((s32) in[7]) + - ((limb) ((s32) in[3])) * ((s32) in[5]))); - output[9] = 2 * (((limb) ((s32) in[4])) * ((s32) in[5]) + - ((limb) ((s32) in[3])) * ((s32) in[6]) + - ((limb) ((s32) in[2])) * ((s32) in[7]) + - ((limb) ((s32) in[1])) * ((s32) in[8]) + - ((limb) ((s32) in[0])) * ((s32) in[9])); - output[10] = 2 * (((limb) ((s32) in[5])) * ((s32) in[5]) + - ((limb) ((s32) in[4])) * ((s32) in[6]) + - ((limb) ((s32) in[2])) * ((s32) in[8]) + - 2 * (((limb) ((s32) in[3])) * ((s32) in[7]) + - ((limb) ((s32) in[1])) * ((s32) in[9]))); - output[11] = 2 * (((limb) ((s32) in[5])) * ((s32) in[6]) + - ((limb) ((s32) in[4])) * ((s32) in[7]) + - ((limb) ((s32) in[3])) * ((s32) in[8]) + - ((limb) ((s32) in[2])) * ((s32) in[9])); - output[12] = ((limb) ((s32) in[6])) * ((s32) in[6]) + - 2 * (((limb) ((s32) in[4])) * ((s32) in[8]) + - 2 * (((limb) ((s32) in[5])) * ((s32) in[7]) + - ((limb) ((s32) in[3])) * ((s32) in[9]))); - output[13] = 2 * (((limb) ((s32) in[6])) * ((s32) in[7]) + - ((limb) ((s32) in[5])) * ((s32) in[8]) + - ((limb) ((s32) in[4])) * ((s32) in[9])); - output[14] = 2 * (((limb) ((s32) in[7])) * ((s32) in[7]) + - ((limb) ((s32) in[6])) * ((s32) in[8]) + - 2 * ((limb) ((s32) in[5])) * ((s32) in[9])); - output[15] = 2 * (((limb) ((s32) in[7])) * ((s32) in[8]) + - ((limb) ((s32) in[6])) * ((s32) in[9])); - output[16] = ((limb) ((s32) in[8])) * ((s32) in[8]) + - 4 * ((limb) ((s32) in[7])) * ((s32) in[9]); - output[17] = 2 * ((limb) ((s32) in[8])) * ((s32) in[9]); - output[18] = 2 * ((limb) ((s32) in[9])) * ((s32) in[9]); -} - -/* fsquare sets output = in^2. - * - * On entry: The |in| argument is in reduced coefficients form and |in[i]| < - * 2^27. - * - * On exit: The |output| argument is in reduced coefficients form (indeed, one - * need only provide storage for 10 limbs) and |out[i]| < 2^26. */ -static void -fsquare(limb *output, const limb *in) { - limb t[19]; - fsquare_inner(t, in); - /* |t[i]| < 14*2^54 because the largest product of two limbs will be < - * 2^(27+27) and fsquare_inner adds together, at most, 14 of those - * products. */ - freduce_degree(t); - freduce_coefficients(t); - /* |t[i]| < 2^26 */ - memcpy(output, t, sizeof(limb) * 10); -} - -/* Take a little-endian, 32-byte number and expand it into polynomial form */ -static void -fexpand(limb *output, const u8 *input) { -#define F(n,start,shift,mask) \ - output[n] = ((((limb) input[start + 0]) | \ - ((limb) input[start + 1]) << 8 | \ - ((limb) input[start + 2]) << 16 | \ - ((limb) input[start + 3]) << 24) >> shift) & mask; - F(0, 0, 0, 0x3ffffff); - F(1, 3, 2, 0x1ffffff); - F(2, 6, 3, 0x3ffffff); - F(3, 9, 5, 0x1ffffff); - F(4, 12, 6, 0x3ffffff); - F(5, 16, 0, 0x1ffffff); - F(6, 19, 1, 0x3ffffff); - F(7, 22, 3, 0x1ffffff); - F(8, 25, 4, 0x3ffffff); - F(9, 28, 6, 0x1ffffff); -#undef F -} - -#if (-32 >> 1) != -16 -#error "This code only works when >> does sign-extension on negative numbers" -#endif - -/* s32_eq returns 0xffffffff iff a == b and zero otherwise. */ -static s32 s32_eq(s32 a, s32 b) { - a = ~(a ^ b); - a &= a << 16; - a &= a << 8; - a &= a << 4; - a &= a << 2; - a &= a << 1; - return a >> 31; -} - -/* s32_gte returns 0xffffffff if a >= b and zero otherwise, where a and b are - * both non-negative. */ -static s32 s32_gte(s32 a, s32 b) { - a -= b; - /* a >= 0 iff a >= b. */ - return ~(a >> 31); -} - -/* Take a fully reduced polynomial form number and contract it into a - * little-endian, 32-byte array. - * - * On entry: |input_limbs[i]| < 2^26 */ -static void -fcontract(u8 *output, limb *input_limbs) { - int i; - int j; - s32 input[10]; - s32 mask; - - /* |input_limbs[i]| < 2^26, so it's valid to convert to an s32. */ - for (i = 0; i < 10; i++) { - input[i] = input_limbs[i]; - } - - for (j = 0; j < 2; ++j) { - for (i = 0; i < 9; ++i) { - if ((i & 1) == 1) { - /* This calculation is a time-invariant way to make input[i] - * non-negative by borrowing from the next-larger limb. */ - const s32 mask = input[i] >> 31; - const s32 carry = -((input[i] & mask) >> 25); - input[i] = input[i] + (carry << 25); - input[i+1] = input[i+1] - carry; - } else { - const s32 mask = input[i] >> 31; - const s32 carry = -((input[i] & mask) >> 26); - input[i] = input[i] + (carry << 26); - input[i+1] = input[i+1] - carry; - } - } - - /* There's no greater limb for input[9] to borrow from, but we can multiply - * by 19 and borrow from input[0], which is valid mod 2^255-19. */ - { - const s32 mask = input[9] >> 31; - const s32 carry = -((input[9] & mask) >> 25); - input[9] = input[9] + (carry << 25); - input[0] = input[0] - (carry * 19); - } - - /* After the first iteration, input[1..9] are non-negative and fit within - * 25 or 26 bits, depending on position. However, input[0] may be - * negative. */ - } - - /* The first borrow-propagation pass above ended with every limb - except (possibly) input[0] non-negative. - - If input[0] was negative after the first pass, then it was because of a - carry from input[9]. On entry, input[9] < 2^26 so the carry was, at most, - one, since (2**26-1) >> 25 = 1. Thus input[0] >= -19. - - In the second pass, each limb is decreased by at most one. Thus the second - borrow-propagation pass could only have wrapped around to decrease - input[0] again if the first pass left input[0] negative *and* input[1] - through input[9] were all zero. In that case, input[1] is now 2^25 - 1, - and this last borrow-propagation step will leave input[1] non-negative. */ - { - const s32 mask = input[0] >> 31; - const s32 carry = -((input[0] & mask) >> 26); - input[0] = input[0] + (carry << 26); - input[1] = input[1] - carry; - } - - /* All input[i] are now non-negative. However, there might be values between - * 2^25 and 2^26 in a limb which is, nominally, 25 bits wide. */ - for (j = 0; j < 2; j++) { - for (i = 0; i < 9; i++) { - if ((i & 1) == 1) { - const s32 carry = input[i] >> 25; - input[i] &= 0x1ffffff; - input[i+1] += carry; - } else { - const s32 carry = input[i] >> 26; - input[i] &= 0x3ffffff; - input[i+1] += carry; - } - } - - { - const s32 carry = input[9] >> 25; - input[9] &= 0x1ffffff; - input[0] += 19*carry; - } - } - - /* If the first carry-chain pass, just above, ended up with a carry from - * input[9], and that caused input[0] to be out-of-bounds, then input[0] was - * < 2^26 + 2*19, because the carry was, at most, two. - * - * If the second pass carried from input[9] again then input[0] is < 2*19 and - * the input[9] -> input[0] carry didn't push input[0] out of bounds. */ - - /* It still remains the case that input might be between 2^255-19 and 2^255. - * In this case, input[1..9] must take their maximum value and input[0] must - * be >= (2^255-19) & 0x3ffffff, which is 0x3ffffed. */ - mask = s32_gte(input[0], 0x3ffffed); - for (i = 1; i < 10; i++) { - if ((i & 1) == 1) { - mask &= s32_eq(input[i], 0x1ffffff); - } else { - mask &= s32_eq(input[i], 0x3ffffff); - } - } - - /* mask is either 0xffffffff (if input >= 2^255-19) and zero otherwise. Thus - * this conditionally subtracts 2^255-19. */ - input[0] -= mask & 0x3ffffed; - - for (i = 1; i < 10; i++) { - if ((i & 1) == 1) { - input[i] -= mask & 0x1ffffff; - } else { - input[i] -= mask & 0x3ffffff; - } - } - - input[1] <<= 2; - input[2] <<= 3; - input[3] <<= 5; - input[4] <<= 6; - input[6] <<= 1; - input[7] <<= 3; - input[8] <<= 4; - input[9] <<= 6; -#define F(i, s) \ - output[s+0] |= input[i] & 0xff; \ - output[s+1] = (input[i] >> 8) & 0xff; \ - output[s+2] = (input[i] >> 16) & 0xff; \ - output[s+3] = (input[i] >> 24) & 0xff; - output[0] = 0; - output[16] = 0; - F(0,0); - F(1,3); - F(2,6); - F(3,9); - F(4,12); - F(5,16); - F(6,19); - F(7,22); - F(8,25); - F(9,28); -#undef F -} - -/* 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 - * - * On entry and exit, the absolute value of the limbs of all inputs and outputs - * are < 2^26. */ -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[10], origxprime[10], zzz[19], xx[19], zz[19], xxprime[19], - zzprime[19], zzzprime[19], xxxprime[19]; - - memcpy(origx, x, 10 * sizeof(limb)); - fsum(x, z); - /* |x[i]| < 2^27 */ - fdifference(z, origx); /* does x - z */ - /* |z[i]| < 2^27 */ - - memcpy(origxprime, xprime, sizeof(limb) * 10); - fsum(xprime, zprime); - /* |xprime[i]| < 2^27 */ - fdifference(zprime, origxprime); - /* |zprime[i]| < 2^27 */ - fproduct(xxprime, xprime, z); - /* |xxprime[i]| < 14*2^54: the largest product of two limbs will be < - * 2^(27+27) and fproduct adds together, at most, 14 of those products. - * (Approximating that to 2^58 doesn't work out.) */ - fproduct(zzprime, x, zprime); - /* |zzprime[i]| < 14*2^54 */ - freduce_degree(xxprime); - freduce_coefficients(xxprime); - /* |xxprime[i]| < 2^26 */ - freduce_degree(zzprime); - freduce_coefficients(zzprime); - /* |zzprime[i]| < 2^26 */ - memcpy(origxprime, xxprime, sizeof(limb) * 10); - fsum(xxprime, zzprime); - /* |xxprime[i]| < 2^27 */ - fdifference(zzprime, origxprime); - /* |zzprime[i]| < 2^27 */ - fsquare(xxxprime, xxprime); - /* |xxxprime[i]| < 2^26 */ - fsquare(zzzprime, zzprime); - /* |zzzprime[i]| < 2^26 */ - fproduct(zzprime, zzzprime, qmqp); - /* |zzprime[i]| < 14*2^52 */ - freduce_degree(zzprime); - freduce_coefficients(zzprime); - /* |zzprime[i]| < 2^26 */ - memcpy(x3, xxxprime, sizeof(limb) * 10); - memcpy(z3, zzprime, sizeof(limb) * 10); - - fsquare(xx, x); - /* |xx[i]| < 2^26 */ - fsquare(zz, z); - /* |zz[i]| < 2^26 */ - fproduct(x2, xx, zz); - /* |x2[i]| < 14*2^52 */ - freduce_degree(x2); - freduce_coefficients(x2); - /* |x2[i]| < 2^26 */ - fdifference(zz, xx); // does zz = xx - zz - /* |zz[i]| < 2^27 */ - memset(zzz + 10, 0, sizeof(limb) * 9); - fscalar_product(zzz, zz, 121665); - /* |zzz[i]| < 2^(27+17) */ - /* No need to call freduce_degree here: - fscalar_product doesn't increase the degree of its input. */ - freduce_coefficients(zzz); - /* |zzz[i]| < 2^26 */ - fsum(zzz, xx); - /* |zzz[i]| < 2^27 */ - fproduct(z2, zz, zzz); - /* |z2[i]| < 14*2^(26+27) */ - freduce_degree(z2); - freduce_coefficients(z2); - /* |z2|i| < 2^26 */ -} - -/* Conditionally swap two reduced-form limb arrays if 'iswap' is 1, but leave - * them unchanged if 'iswap' is 0. Runs in data-invariant time to avoid - * side-channel attacks. - * - * NOTE that this function requires that 'iswap' be 1 or 0; other values give - * wrong results. Also, the two limb arrays must be in reduced-coefficient, - * reduced-degree form: the values in a[10..19] or b[10..19] aren't swapped, - * and all all values in a[0..9],b[0..9] must have magnitude less than - * INT32_MAX. */ -static void -swap_conditional(limb a[19], limb b[19], limb iswap) { - unsigned i; - const s32 swap = (s32) -iswap; - - for (i = 0; i < 10; ++i) { - const s32 x = swap & ( ((s32)a[i]) ^ ((s32)b[i]) ); - a[i] = ((s32)a[i]) ^ x; - b[i] = ((s32)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[19] = {0}, b[19] = {1}, c[19] = {1}, d[19] = {0}; - limb *nqpqx = a, *nqpqz = b, *nqx = c, *nqz = d, *t; - limb e[19] = {0}, f[19] = {1}, g[19] = {0}, h[19] = {1}; - limb *nqpqx2 = e, *nqpqz2 = f, *nqx2 = g, *nqz2 = h; - - unsigned i, j; - - memcpy(nqpqx, q, sizeof(limb) * 10); - - 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) * 10); - memcpy(resultz, nqz, sizeof(limb) * 10); -} - -// ----------------------------------------------------------------------------- -// Shamelessly copied from djb's code -// ----------------------------------------------------------------------------- -static void -crecip(limb *out, const limb *z) { - limb z2[10]; - limb z9[10]; - limb z11[10]; - limb z2_5_0[10]; - limb z2_10_0[10]; - limb z2_20_0[10]; - limb z2_50_0[10]; - limb z2_100_0[10]; - limb t0[10]; - limb t1[10]; - int i; - - /* 2 */ fsquare(z2,z); - /* 4 */ fsquare(t1,z2); - /* 8 */ fsquare(t0,t1); - /* 9 */ fmul(z9,t0,z); - /* 11 */ fmul(z11,z9,z2); - /* 22 */ fsquare(t0,z11); - /* 2^5 - 2^0 = 31 */ fmul(z2_5_0,t0,z9); - - /* 2^6 - 2^1 */ fsquare(t0,z2_5_0); - /* 2^7 - 2^2 */ fsquare(t1,t0); - /* 2^8 - 2^3 */ fsquare(t0,t1); - /* 2^9 - 2^4 */ fsquare(t1,t0); - /* 2^10 - 2^5 */ fsquare(t0,t1); - /* 2^10 - 2^0 */ fmul(z2_10_0,t0,z2_5_0); - - /* 2^11 - 2^1 */ fsquare(t0,z2_10_0); - /* 2^12 - 2^2 */ fsquare(t1,t0); - /* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { fsquare(t0,t1); fsquare(t1,t0); } - /* 2^20 - 2^0 */ fmul(z2_20_0,t1,z2_10_0); - - /* 2^21 - 2^1 */ fsquare(t0,z2_20_0); - /* 2^22 - 2^2 */ fsquare(t1,t0); - /* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { fsquare(t0,t1); fsquare(t1,t0); } - /* 2^40 - 2^0 */ fmul(t0,t1,z2_20_0); - - /* 2^41 - 2^1 */ fsquare(t1,t0); - /* 2^42 - 2^2 */ fsquare(t0,t1); - /* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { fsquare(t1,t0); fsquare(t0,t1); } - /* 2^50 - 2^0 */ fmul(z2_50_0,t0,z2_10_0); - - /* 2^51 - 2^1 */ fsquare(t0,z2_50_0); - /* 2^52 - 2^2 */ fsquare(t1,t0); - /* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { fsquare(t0,t1); fsquare(t1,t0); } - /* 2^100 - 2^0 */ fmul(z2_100_0,t1,z2_50_0); - - /* 2^101 - 2^1 */ fsquare(t1,z2_100_0); - /* 2^102 - 2^2 */ fsquare(t0,t1); - /* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { fsquare(t1,t0); fsquare(t0,t1); } - /* 2^200 - 2^0 */ fmul(t1,t0,z2_100_0); - - /* 2^201 - 2^1 */ fsquare(t0,t1); - /* 2^202 - 2^2 */ fsquare(t1,t0); - /* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { fsquare(t0,t1); fsquare(t1,t0); } - /* 2^250 - 2^0 */ fmul(t0,t1,z2_50_0); - - /* 2^251 - 2^1 */ fsquare(t1,t0); - /* 2^252 - 2^2 */ fsquare(t0,t1); - /* 2^253 - 2^3 */ fsquare(t1,t0); - /* 2^254 - 2^4 */ fsquare(t0,t1); - /* 2^255 - 2^5 */ fsquare(t1,t0); - /* 2^255 - 21 */ fmul(out,t1,z11); -} - -int -curve25519_donna(u8 *mypublic, const u8 *secret, const u8 *basepoint) { - limb bp[10], x[10], z[11], zmone[10]; - uint8_t e[32]; - int i; - - for (i = 0; i < 32; ++i) e[i] = secret[i]; -// 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; -} diff --git a/native/ed25519/additions/compare.c b/native/ed25519/additions/compare.c deleted file mode 100644 index 8b1e31389..000000000 --- a/native/ed25519/additions/compare.c +++ /dev/null @@ -1,44 +0,0 @@ -#include -#include "compare.h" - -/* Const-time comparison from SUPERCOP, but here it's only used for - signature verification, so doesn't need to be const-time. But - copied the nacl version anyways. */ -int crypto_verify_32_ref(const unsigned char *x, const unsigned char *y) -{ - unsigned int differentbits = 0; -#define F(i) differentbits |= x[i] ^ y[i]; - F(0) - F(1) - F(2) - F(3) - F(4) - F(5) - F(6) - F(7) - F(8) - F(9) - F(10) - F(11) - F(12) - F(13) - F(14) - F(15) - F(16) - F(17) - F(18) - F(19) - F(20) - F(21) - F(22) - F(23) - F(24) - F(25) - F(26) - F(27) - F(28) - F(29) - F(30) - F(31) - return (1 & ((differentbits - 1) >> 8)) - 1; -} diff --git a/native/ed25519/additions/compare.h b/native/ed25519/additions/compare.h deleted file mode 100644 index 5a2fa910d..000000000 --- a/native/ed25519/additions/compare.h +++ /dev/null @@ -1,6 +0,0 @@ -#ifndef __COMPARE_H__ -#define __COMPARE_H__ - -int crypto_verify_32_ref(const unsigned char *b1, const unsigned char *b2); - -#endif diff --git a/native/ed25519/additions/curve_sigs.c b/native/ed25519/additions/curve_sigs.c deleted file mode 100644 index b002dc874..000000000 --- a/native/ed25519/additions/curve_sigs.c +++ /dev/null @@ -1,97 +0,0 @@ -#include -#include "ge.h" -#include "curve_sigs.h" -#include "crypto_sign.h" - -void curve25519_keygen(unsigned char* curve25519_pubkey_out, - unsigned char* curve25519_privkey_in) -{ - ge_p3 ed_pubkey_point; /* Ed25519 pubkey point */ - unsigned char ed_pubkey[32]; /* privkey followed by pubkey */ - fe ed_y, one, ed_y_plus_one, one_minus_ed_y, inv_one_minus_ed_y; - fe mont_x; - - /* Perform a fixed-base multiplication of the Edwards base point, - (which is efficient due to precalculated tables), then convert - to the Curve25519 montgomery-format public key. In particular, - convert Curve25519's "montgomery" x-coordinate into an Ed25519 - "edwards" y-coordinate: - - mont_x = (ed_y +1 1) / (1 - ed_y) - */ - - ge_scalarmult_base(&ed_pubkey_point, curve25519_privkey_in); - ge_p3_tobytes(ed_pubkey, &ed_pubkey_point); - ed_pubkey[31] = ed_pubkey[31] & 0x7F; /* Mask off sign bit */ - fe_frombytes(ed_y, ed_pubkey); - - fe_1(one); - fe_add(ed_y_plus_one, ed_y, one); - fe_sub(one_minus_ed_y, one, ed_y); - fe_invert(inv_one_minus_ed_y, one_minus_ed_y); - fe_mul(mont_x, ed_y_plus_one, inv_one_minus_ed_y); - fe_tobytes(curve25519_pubkey_out, mont_x); -} - -void curve25519_sign(unsigned char* signature_out, - unsigned char* curve25519_privkey, - unsigned char* msg, unsigned long msg_len) -{ - ge_p3 ed_pubkey_point; /* Ed25519 pubkey point */ - unsigned char ed_keypair[64]; /* privkey followed by pubkey */ - unsigned char sigbuf[msg_len + 64]; /* working buffer */ - unsigned long long sigbuf_out_len = 0; - unsigned char sign_bit = 0; - - /* Convert the Curve25519 privkey to an Ed25519 keypair */ - memmove(ed_keypair, curve25519_privkey, 32); - ge_scalarmult_base(&ed_pubkey_point, curve25519_privkey); - ge_p3_tobytes(ed_keypair + 32, &ed_pubkey_point); - sign_bit = ed_keypair[63] & 0x80; - - /* Perform an Ed25519 signature with explicit private key */ - crypto_sign_modified(sigbuf, &sigbuf_out_len, msg, msg_len, ed_keypair); - memmove(signature_out, sigbuf, 64); - - /* Encode the sign bit into signature (in unused high bit of S) */ - signature_out[63] |= sign_bit; -} - -int curve25519_verify(unsigned char* signature, - unsigned char* curve25519_pubkey, - unsigned char* msg, unsigned long msg_len) -{ - fe mont_x, mont_x_minus_one, mont_x_plus_one, inv_mont_x_plus_one; - fe one; - fe ed_y; - unsigned char ed_pubkey[32]; - unsigned long long some_retval; - unsigned char verifybuf[msg_len + 64]; /* working buffer */ - unsigned char verifybuf2[msg_len + 64]; /* working buffer #2 */ - - /* Convert the Curve25519 public key into an Ed25519 public key. In - particular, convert Curve25519's "montgomery" x-coordinate into an - Ed25519 "edwards" y-coordinate: - - ed_y = (mont_x - 1) / (mont_x + 1) - - Then move the sign bit into the pubkey from the signature. - */ - fe_frombytes(mont_x, curve25519_pubkey); - fe_1(one); - fe_sub(mont_x_minus_one, mont_x, one); - fe_add(mont_x_plus_one, mont_x, one); - fe_invert(inv_mont_x_plus_one, mont_x_plus_one); - fe_mul(ed_y, mont_x_minus_one, inv_mont_x_plus_one); - fe_tobytes(ed_pubkey, ed_y); - - /* Copy the sign bit, and remove it from signature */ - ed_pubkey[31] |= (signature[63] & 0x80); - signature[63] &= 0x7F; - - memmove(verifybuf, signature, 64); - memmove(verifybuf+64, msg, msg_len); - - /* Then perform a normal Ed25519 verification, return 0 on success */ - return crypto_sign_open(verifybuf2, &some_retval, verifybuf, 64 + msg_len, ed_pubkey); -} diff --git a/native/ed25519/additions/curve_sigs.h b/native/ed25519/additions/curve_sigs.h deleted file mode 100644 index 106bb1945..000000000 --- a/native/ed25519/additions/curve_sigs.h +++ /dev/null @@ -1,33 +0,0 @@ - -#ifndef __CURVE_SIGS_H__ -#define __CURVE_SIGS_H__ - -#ifdef __cplusplus -extern "C" { -#endif - -void curve25519_keygen(unsigned char* curve25519_pubkey_out, - unsigned char* curve25519_privkey_in); - -void curve25519_sign(unsigned char* signature_out, - unsigned char* curve25519_privkey, - unsigned char* msg, unsigned long msg_len); - -/* returns 0 on success */ -int curve25519_verify(unsigned char* signature, - unsigned char* curve25519_pubkey, - unsigned char* msg, unsigned long msg_len); - -/* helper function - modified version of crypto_sign() to use - explicit private key */ -int crypto_sign_modified( - unsigned char *sm,unsigned long long *smlen, - const unsigned char *m,unsigned long long mlen, - const unsigned char *sk - ); - -#ifdef __cplusplus -} -#endif - -#endif diff --git a/native/ed25519/additions/sha512.c b/native/ed25519/additions/sha512.c deleted file mode 100644 index 9540ef467..000000000 --- a/native/ed25519/additions/sha512.c +++ /dev/null @@ -1,13 +0,0 @@ -#include "sha512.h" -#include "sph_sha2.h" - -int crypto_hash_sha512_ref(unsigned char *output ,const unsigned char *input, - unsigned long long len) -{ - sph_sha512_context ctx; - sph_sha512_init(&ctx); - sph_sha512(&ctx, input, len); - sph_sha512_close(&ctx, output); - return 0; -} - diff --git a/native/ed25519/additions/sha512.h b/native/ed25519/additions/sha512.h deleted file mode 100644 index 51f817c88..000000000 --- a/native/ed25519/additions/sha512.h +++ /dev/null @@ -1,10 +0,0 @@ -#ifndef __SHA512_H__ -#define __SHA512_H__ - -#include "sha512.h" -#include "sph_sha2.h" - -int crypto_hash_sha512_ref(unsigned char *output ,const unsigned char *input, - unsigned long long len); - -#endif diff --git a/native/ed25519/additions/sign_modified.c b/native/ed25519/additions/sign_modified.c deleted file mode 100644 index 04ba29af8..000000000 --- a/native/ed25519/additions/sign_modified.c +++ /dev/null @@ -1,40 +0,0 @@ -#include -#include "crypto_sign.h" -#include "crypto_hash_sha512.h" -#include "ge.h" -#include "sc.h" - -/* NEW: Compare to pristine crypto_sign() - Uses explicit private key for nonce derivation and as scalar, - instead of deriving both from a master key. -*/ -int crypto_sign_modified( - unsigned char *sm,unsigned long long *smlen, - const unsigned char *m,unsigned long long mlen, - const unsigned char *sk -) -{ - unsigned char pk[32]; - //unsigned char az[64]; - unsigned char nonce[64]; - unsigned char hram[64]; - ge_p3 R; - - memmove(pk,sk + 32,32); - - *smlen = mlen + 64; - memmove(sm + 64,m,mlen); - memmove(sm + 32,sk,32); /* NEW: Use privkey directly for nonce derivation */ - crypto_hash_sha512(nonce,sm + 32,mlen + 32); - memmove(sm + 32,pk,32); - - sc_reduce(nonce); - ge_scalarmult_base(&R,nonce); - ge_p3_tobytes(sm,&R); - - crypto_hash_sha512(hram,sm,mlen + 64); - sc_reduce(hram); - sc_muladd(sm + 32,hram,sk,nonce); /* NEW: Use privkey directly */ - - return 0; -} diff --git a/native/ed25519/api.h b/native/ed25519/api.h deleted file mode 100644 index d88dae0c3..000000000 --- a/native/ed25519/api.h +++ /dev/null @@ -1,4 +0,0 @@ -#define CRYPTO_SECRETKEYBYTES 64 -#define CRYPTO_PUBLICKEYBYTES 32 -#define CRYPTO_BYTES 64 -#define CRYPTO_DETERMINISTIC 1 diff --git a/native/ed25519/base.h b/native/ed25519/base.h deleted file mode 100644 index 573bd8a05..000000000 --- a/native/ed25519/base.h +++ /dev/null @@ -1,1344 +0,0 @@ -{ - { - { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, - { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 }, - { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 }, - }, - { - { -12815894,-12976347,-21581243,11784320,-25355658,-2750717,-11717903,-3814571,-358445,-10211303 }, - { -21703237,6903825,27185491,6451973,-29577724,-9554005,-15616551,11189268,-26829678,-5319081 }, - { 26966642,11152617,32442495,15396054,14353839,-12752335,-3128826,-9541118,-15472047,-4166697 }, - }, - { - { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 }, - { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 }, - { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 }, - }, - { - { -17036878,13921892,10945806,-6033431,27105052,-16084379,-28926210,15006023,3284568,-6276540 }, - { 23599295,-8306047,-11193664,-7687416,13236774,10506355,7464579,9656445,13059162,10374397 }, - { 7798556,16710257,3033922,2874086,28997861,2835604,32406664,-3839045,-641708,-101325 }, - }, - { - { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 }, - { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 }, - { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 }, - }, - { - { -15371964,-12862754,32573250,4720197,-26436522,5875511,-19188627,-15224819,-9818940,-12085777 }, - { -8549212,109983,15149363,2178705,22900618,4543417,3044240,-15689887,1762328,14866737 }, - { -18199695,-15951423,-10473290,1707278,-17185920,3916101,-28236412,3959421,27914454,4383652 }, - }, - { - { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 }, - { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 }, - { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 }, - }, - { - { 14499471,-2729599,-33191113,-4254652,28494862,14271267,30290735,10876454,-33154098,2381726 }, - { -7195431,-2655363,-14730155,462251,-27724326,3941372,-6236617,3696005,-32300832,15351955 }, - { 27431194,8222322,16448760,-3907995,-18707002,11938355,-32961401,-2970515,29551813,10109425 }, - }, -}, -{ - { - { -13657040,-13155431,-31283750,11777098,21447386,6519384,-2378284,-1627556,10092783,-4764171 }, - { 27939166,14210322,4677035,16277044,-22964462,-12398139,-32508754,12005538,-17810127,12803510 }, - { 17228999,-15661624,-1233527,300140,-1224870,-11714777,30364213,-9038194,18016357,4397660 }, - }, - { - { -10958843,-7690207,4776341,-14954238,27850028,-15602212,-26619106,14544525,-17477504,982639 }, - { 29253598,15796703,-2863982,-9908884,10057023,3163536,7332899,-4120128,-21047696,9934963 }, - { 5793303,16271923,-24131614,-10116404,29188560,1206517,-14747930,4559895,-30123922,-10897950 }, - }, - { - { -27643952,-11493006,16282657,-11036493,28414021,-15012264,24191034,4541697,-13338309,5500568 }, - { 12650548,-1497113,9052871,11355358,-17680037,-8400164,-17430592,12264343,10874051,13524335 }, - { 25556948,-3045990,714651,2510400,23394682,-10415330,33119038,5080568,-22528059,5376628 }, - }, - { - { -26088264,-4011052,-17013699,-3537628,-6726793,1920897,-22321305,-9447443,4535768,1569007 }, - { -2255422,14606630,-21692440,-8039818,28430649,8775819,-30494562,3044290,31848280,12543772 }, - { -22028579,2943893,-31857513,6777306,13784462,-4292203,-27377195,-2062731,7718482,14474653 }, - }, - { - { 2385315,2454213,-22631320,46603,-4437935,-15680415,656965,-7236665,24316168,-5253567 }, - { 13741529,10911568,-33233417,-8603737,-20177830,-1033297,33040651,-13424532,-20729456,8321686 }, - { 21060490,-2212744,15712757,-4336099,1639040,10656336,23845965,-11874838,-9984458,608372 }, - }, - { - { -13672732,-15087586,-10889693,-7557059,-6036909,11305547,1123968,-6780577,27229399,23887 }, - { -23244140,-294205,-11744728,14712571,-29465699,-2029617,12797024,-6440308,-1633405,16678954 }, - { -29500620,4770662,-16054387,14001338,7830047,9564805,-1508144,-4795045,-17169265,4904953 }, - }, - { - { 24059557,14617003,19037157,-15039908,19766093,-14906429,5169211,16191880,2128236,-4326833 }, - { -16981152,4124966,-8540610,-10653797,30336522,-14105247,-29806336,916033,-6882542,-2986532 }, - { -22630907,12419372,-7134229,-7473371,-16478904,16739175,285431,2763829,15736322,4143876 }, - }, - { - { 2379352,11839345,-4110402,-5988665,11274298,794957,212801,-14594663,23527084,-16458268 }, - { 33431127,-11130478,-17838966,-15626900,8909499,8376530,-32625340,4087881,-15188911,-14416214 }, - { 1767683,7197987,-13205226,-2022635,-13091350,448826,5799055,4357868,-4774191,-16323038 }, - }, -}, -{ - { - { 6721966,13833823,-23523388,-1551314,26354293,-11863321,23365147,-3949732,7390890,2759800 }, - { 4409041,2052381,23373853,10530217,7676779,-12885954,21302353,-4264057,1244380,-12919645 }, - { -4421239,7169619,4982368,-2957590,30256825,-2777540,14086413,9208236,15886429,16489664 }, - }, - { - { 1996075,10375649,14346367,13311202,-6874135,-16438411,-13693198,398369,-30606455,-712933 }, - { -25307465,9795880,-2777414,14878809,-33531835,14780363,13348553,12076947,-30836462,5113182 }, - { -17770784,11797796,31950843,13929123,-25888302,12288344,-30341101,-7336386,13847711,5387222 }, - }, - { - { -18582163,-3416217,17824843,-2340966,22744343,-10442611,8763061,3617786,-19600662,10370991 }, - { 20246567,-14369378,22358229,-543712,18507283,-10413996,14554437,-8746092,32232924,16763880 }, - { 9648505,10094563,26416693,14745928,-30374318,-6472621,11094161,15689506,3140038,-16510092 }, - }, - { - { -16160072,5472695,31895588,4744994,8823515,10365685,-27224800,9448613,-28774454,366295 }, - { 19153450,11523972,-11096490,-6503142,-24647631,5420647,28344573,8041113,719605,11671788 }, - { 8678025,2694440,-6808014,2517372,4964326,11152271,-15432916,-15266516,27000813,-10195553 }, - }, - { - { -15157904,7134312,8639287,-2814877,-7235688,10421742,564065,5336097,6750977,-14521026 }, - { 11836410,-3979488,26297894,16080799,23455045,15735944,1695823,-8819122,8169720,16220347 }, - { -18115838,8653647,17578566,-6092619,-8025777,-16012763,-11144307,-2627664,-5990708,-14166033 }, - }, - { - { -23308498,-10968312,15213228,-10081214,-30853605,-11050004,27884329,2847284,2655861,1738395 }, - { -27537433,-14253021,-25336301,-8002780,-9370762,8129821,21651608,-3239336,-19087449,-11005278 }, - { 1533110,3437855,23735889,459276,29970501,11335377,26030092,5821408,10478196,8544890 }, - }, - { - { 32173121,-16129311,24896207,3921497,22579056,-3410854,19270449,12217473,17789017,-3395995 }, - { -30552961,-2228401,-15578829,-10147201,13243889,517024,15479401,-3853233,30460520,1052596 }, - { -11614875,13323618,32618793,8175907,-15230173,12596687,27491595,-4612359,3179268,-9478891 }, - }, - { - { 31947069,-14366651,-4640583,-15339921,-15125977,-6039709,-14756777,-16411740,19072640,-9511060 }, - { 11685058,11822410,3158003,-13952594,33402194,-4165066,5977896,-5215017,473099,5040608 }, - { -20290863,8198642,-27410132,11602123,1290375,-2799760,28326862,1721092,-19558642,-3131606 }, - }, -}, -{ - { - { 7881532,10687937,7578723,7738378,-18951012,-2553952,21820786,8076149,-27868496,11538389 }, - { -19935666,3899861,18283497,-6801568,-15728660,-11249211,8754525,7446702,-5676054,5797016 }, - { -11295600,-3793569,-15782110,-7964573,12708869,-8456199,2014099,-9050574,-2369172,-5877341 }, - }, - { - { -22472376,-11568741,-27682020,1146375,18956691,16640559,1192730,-3714199,15123619,10811505 }, - { 14352098,-3419715,-18942044,10822655,32750596,4699007,-70363,15776356,-28886779,-11974553 }, - { -28241164,-8072475,-4978962,-5315317,29416931,1847569,-20654173,-16484855,4714547,-9600655 }, - }, - { - { 15200332,8368572,19679101,15970074,-31872674,1959451,24611599,-4543832,-11745876,12340220 }, - { 12876937,-10480056,33134381,6590940,-6307776,14872440,9613953,8241152,15370987,9608631 }, - { -4143277,-12014408,8446281,-391603,4407738,13629032,-7724868,15866074,-28210621,-8814099 }, - }, - { - { 26660628,-15677655,8393734,358047,-7401291,992988,-23904233,858697,20571223,8420556 }, - { 14620715,13067227,-15447274,8264467,14106269,15080814,33531827,12516406,-21574435,-12476749 }, - { 236881,10476226,57258,-14677024,6472998,2466984,17258519,7256740,8791136,15069930 }, - }, - { - { 1276410,-9371918,22949635,-16322807,-23493039,-5702186,14711875,4874229,-30663140,-2331391 }, - { 5855666,4990204,-13711848,7294284,-7804282,1924647,-1423175,-7912378,-33069337,9234253 }, - { 20590503,-9018988,31529744,-7352666,-2706834,10650548,31559055,-11609587,18979186,13396066 }, - }, - { - { 24474287,4968103,22267082,4407354,24063882,-8325180,-18816887,13594782,33514650,7021958 }, - { -11566906,-6565505,-21365085,15928892,-26158305,4315421,-25948728,-3916677,-21480480,12868082 }, - { -28635013,13504661,19988037,-2132761,21078225,6443208,-21446107,2244500,-12455797,-8089383 }, - }, - { - { -30595528,13793479,-5852820,319136,-25723172,-6263899,33086546,8957937,-15233648,5540521 }, - { -11630176,-11503902,-8119500,-7643073,2620056,1022908,-23710744,-1568984,-16128528,-14962807 }, - { 23152971,775386,27395463,14006635,-9701118,4649512,1689819,892185,-11513277,-15205948 }, - }, - { - { 9770129,9586738,26496094,4324120,1556511,-3550024,27453819,4763127,-19179614,5867134 }, - { -32765025,1927590,31726409,-4753295,23962434,-16019500,27846559,5931263,-29749703,-16108455 }, - { 27461885,-2977536,22380810,1815854,-23033753,-3031938,7283490,-15148073,-19526700,7734629 }, - }, -}, -{ - { - { -8010264,-9590817,-11120403,6196038,29344158,-13430885,7585295,-3176626,18549497,15302069 }, - { -32658337,-6171222,-7672793,-11051681,6258878,13504381,10458790,-6418461,-8872242,8424746 }, - { 24687205,8613276,-30667046,-3233545,1863892,-1830544,19206234,7134917,-11284482,-828919 }, - }, - { - { 11334899,-9218022,8025293,12707519,17523892,-10476071,10243738,-14685461,-5066034,16498837 }, - { 8911542,6887158,-9584260,-6958590,11145641,-9543680,17303925,-14124238,6536641,10543906 }, - { -28946384,15479763,-17466835,568876,-1497683,11223454,-2669190,-16625574,-27235709,8876771 }, - }, - { - { -25742899,-12566864,-15649966,-846607,-33026686,-796288,-33481822,15824474,-604426,-9039817 }, - { 10330056,70051,7957388,-9002667,9764902,15609756,27698697,-4890037,1657394,3084098 }, - { 10477963,-7470260,12119566,-13250805,29016247,-5365589,31280319,14396151,-30233575,15272409 }, - }, - { - { -12288309,3169463,28813183,16658753,25116432,-5630466,-25173957,-12636138,-25014757,1950504 }, - { -26180358,9489187,11053416,-14746161,-31053720,5825630,-8384306,-8767532,15341279,8373727 }, - { 28685821,7759505,-14378516,-12002860,-31971820,4079242,298136,-10232602,-2878207,15190420 }, - }, - { - { -32932876,13806336,-14337485,-15794431,-24004620,10940928,8669718,2742393,-26033313,-6875003 }, - { -1580388,-11729417,-25979658,-11445023,-17411874,-10912854,9291594,-16247779,-12154742,6048605 }, - { -30305315,14843444,1539301,11864366,20201677,1900163,13934231,5128323,11213262,9168384 }, - }, - { - { -26280513,11007847,19408960,-940758,-18592965,-4328580,-5088060,-11105150,20470157,-16398701 }, - { -23136053,9282192,14855179,-15390078,-7362815,-14408560,-22783952,14461608,14042978,5230683 }, - { 29969567,-2741594,-16711867,-8552442,9175486,-2468974,21556951,3506042,-5933891,-12449708 }, - }, - { - { -3144746,8744661,19704003,4581278,-20430686,6830683,-21284170,8971513,-28539189,15326563 }, - { -19464629,10110288,-17262528,-3503892,-23500387,1355669,-15523050,15300988,-20514118,9168260 }, - { -5353335,4488613,-23803248,16314347,7780487,-15638939,-28948358,9601605,33087103,-9011387 }, - }, - { - { -19443170,-15512900,-20797467,-12445323,-29824447,10229461,-27444329,-15000531,-5996870,15664672 }, - { 23294591,-16632613,-22650781,-8470978,27844204,11461195,13099750,-2460356,18151676,13417686 }, - { -24722913,-4176517,-31150679,5988919,-26858785,6685065,1661597,-12551441,15271676,-15452665 }, - }, -}, -{ - { - { 11433042,-13228665,8239631,-5279517,-1985436,-725718,-18698764,2167544,-6921301,-13440182 }, - { -31436171,15575146,30436815,12192228,-22463353,9395379,-9917708,-8638997,12215110,12028277 }, - { 14098400,6555944,23007258,5757252,-15427832,-12950502,30123440,4617780,-16900089,-655628 }, - }, - { - { -4026201,-15240835,11893168,13718664,-14809462,1847385,-15819999,10154009,23973261,-12684474 }, - { -26531820,-3695990,-1908898,2534301,-31870557,-16550355,18341390,-11419951,32013174,-10103539 }, - { -25479301,10876443,-11771086,-14625140,-12369567,1838104,21911214,6354752,4425632,-837822 }, - }, - { - { -10433389,-14612966,22229858,-3091047,-13191166,776729,-17415375,-12020462,4725005,14044970 }, - { 19268650,-7304421,1555349,8692754,-21474059,-9910664,6347390,-1411784,-19522291,-16109756 }, - { -24864089,12986008,-10898878,-5558584,-11312371,-148526,19541418,8180106,9282262,10282508 }, - }, - { - { -26205082,4428547,-8661196,-13194263,4098402,-14165257,15522535,8372215,5542595,-10702683 }, - { -10562541,14895633,26814552,-16673850,-17480754,-2489360,-2781891,6993761,-18093885,10114655 }, - { -20107055,-929418,31422704,10427861,-7110749,6150669,-29091755,-11529146,25953725,-106158 }, - }, - { - { -4234397,-8039292,-9119125,3046000,2101609,-12607294,19390020,6094296,-3315279,12831125 }, - { -15998678,7578152,5310217,14408357,-33548620,-224739,31575954,6326196,7381791,-2421839 }, - { -20902779,3296811,24736065,-16328389,18374254,7318640,6295303,8082724,-15362489,12339664 }, - }, - { - { 27724736,2291157,6088201,-14184798,1792727,5857634,13848414,15768922,25091167,14856294 }, - { -18866652,8331043,24373479,8541013,-701998,-9269457,12927300,-12695493,-22182473,-9012899 }, - { -11423429,-5421590,11632845,3405020,30536730,-11674039,-27260765,13866390,30146206,9142070 }, - }, - { - { 3924129,-15307516,-13817122,-10054960,12291820,-668366,-27702774,9326384,-8237858,4171294 }, - { -15921940,16037937,6713787,16606682,-21612135,2790944,26396185,3731949,345228,-5462949 }, - { -21327538,13448259,25284571,1143661,20614966,-8849387,2031539,-12391231,-16253183,-13582083 }, - }, - { - { 31016211,-16722429,26371392,-14451233,-5027349,14854137,17477601,3842657,28012650,-16405420 }, - { -5075835,9368966,-8562079,-4600902,-15249953,6970560,-9189873,16292057,-8867157,3507940 }, - { 29439664,3537914,23333589,6997794,-17555561,-11018068,-15209202,-15051267,-9164929,6580396 }, - }, -}, -{ - { - { -12185861,-7679788,16438269,10826160,-8696817,-6235611,17860444,-9273846,-2095802,9304567 }, - { 20714564,-4336911,29088195,7406487,11426967,-5095705,14792667,-14608617,5289421,-477127 }, - { -16665533,-10650790,-6160345,-13305760,9192020,-1802462,17271490,12349094,26939669,-3752294 }, - }, - { - { -12889898,9373458,31595848,16374215,21471720,13221525,-27283495,-12348559,-3698806,117887 }, - { 22263325,-6560050,3984570,-11174646,-15114008,-566785,28311253,5358056,-23319780,541964 }, - { 16259219,3261970,2309254,-15534474,-16885711,-4581916,24134070,-16705829,-13337066,-13552195 }, - }, - { - { 9378160,-13140186,-22845982,-12745264,28198281,-7244098,-2399684,-717351,690426,14876244 }, - { 24977353,-314384,-8223969,-13465086,28432343,-1176353,-13068804,-12297348,-22380984,6618999 }, - { -1538174,11685646,12944378,13682314,-24389511,-14413193,8044829,-13817328,32239829,-5652762 }, - }, - { - { -18603066,4762990,-926250,8885304,-28412480,-3187315,9781647,-10350059,32779359,5095274 }, - { -33008130,-5214506,-32264887,-3685216,9460461,-9327423,-24601656,14506724,21639561,-2630236 }, - { -16400943,-13112215,25239338,15531969,3987758,-4499318,-1289502,-6863535,17874574,558605 }, - }, - { - { -13600129,10240081,9171883,16131053,-20869254,9599700,33499487,5080151,2085892,5119761 }, - { -22205145,-2519528,-16381601,414691,-25019550,2170430,30634760,-8363614,-31999993,-5759884 }, - { -6845704,15791202,8550074,-1312654,29928809,-12092256,27534430,-7192145,-22351378,12961482 }, - }, - { - { -24492060,-9570771,10368194,11582341,-23397293,-2245287,16533930,8206996,-30194652,-5159638 }, - { -11121496,-3382234,2307366,6362031,-135455,8868177,-16835630,7031275,7589640,8945490 }, - { -32152748,8917967,6661220,-11677616,-1192060,-15793393,7251489,-11182180,24099109,-14456170 }, - }, - { - { 5019558,-7907470,4244127,-14714356,-26933272,6453165,-19118182,-13289025,-6231896,-10280736 }, - { 10853594,10721687,26480089,5861829,-22995819,1972175,-1866647,-10557898,-3363451,-6441124 }, - { -17002408,5906790,221599,-6563147,7828208,-13248918,24362661,-2008168,-13866408,7421392 }, - }, - { - { 8139927,-6546497,32257646,-5890546,30375719,1886181,-21175108,15441252,28826358,-4123029 }, - { 6267086,9695052,7709135,-16603597,-32869068,-1886135,14795160,-7840124,13746021,-1742048 }, - { 28584902,7787108,-6732942,-15050729,22846041,-7571236,-3181936,-363524,4771362,-8419958 }, - }, -}, -{ - { - { 24949256,6376279,-27466481,-8174608,-18646154,-9930606,33543569,-12141695,3569627,11342593 }, - { 26514989,4740088,27912651,3697550,19331575,-11472339,6809886,4608608,7325975,-14801071 }, - { -11618399,-14554430,-24321212,7655128,-1369274,5214312,-27400540,10258390,-17646694,-8186692 }, - }, - { - { 11431204,15823007,26570245,14329124,18029990,4796082,-31446179,15580664,9280358,-3973687 }, - { -160783,-10326257,-22855316,-4304997,-20861367,-13621002,-32810901,-11181622,-15545091,4387441 }, - { -20799378,12194512,3937617,-5805892,-27154820,9340370,-24513992,8548137,20617071,-7482001 }, - }, - { - { -938825,-3930586,-8714311,16124718,24603125,-6225393,-13775352,-11875822,24345683,10325460 }, - { -19855277,-1568885,-22202708,8714034,14007766,6928528,16318175,-1010689,4766743,3552007 }, - { -21751364,-16730916,1351763,-803421,-4009670,3950935,3217514,14481909,10988822,-3994762 }, - }, - { - { 15564307,-14311570,3101243,5684148,30446780,-8051356,12677127,-6505343,-8295852,13296005 }, - { -9442290,6624296,-30298964,-11913677,-4670981,-2057379,31521204,9614054,-30000824,12074674 }, - { 4771191,-135239,14290749,-13089852,27992298,14998318,-1413936,-1556716,29832613,-16391035 }, - }, - { - { 7064884,-7541174,-19161962,-5067537,-18891269,-2912736,25825242,5293297,-27122660,13101590 }, - { -2298563,2439670,-7466610,1719965,-27267541,-16328445,32512469,-5317593,-30356070,-4190957 }, - { -30006540,10162316,-33180176,3981723,-16482138,-13070044,14413974,9515896,19568978,9628812 }, - }, - { - { 33053803,199357,15894591,1583059,27380243,-4580435,-17838894,-6106839,-6291786,3437740 }, - { -18978877,3884493,19469877,12726490,15913552,13614290,-22961733,70104,7463304,4176122 }, - { -27124001,10659917,11482427,-16070381,12771467,-6635117,-32719404,-5322751,24216882,5944158 }, - }, - { - { 8894125,7450974,-2664149,-9765752,-28080517,-12389115,19345746,14680796,11632993,5847885 }, - { 26942781,-2315317,9129564,-4906607,26024105,11769399,-11518837,6367194,-9727230,4782140 }, - { 19916461,-4828410,-22910704,-11414391,25606324,-5972441,33253853,8220911,6358847,-1873857 }, - }, - { - { 801428,-2081702,16569428,11065167,29875704,96627,7908388,-4480480,-13538503,1387155 }, - { 19646058,5720633,-11416706,12814209,11607948,12749789,14147075,15156355,-21866831,11835260 }, - { 19299512,1155910,28703737,14890794,2925026,7269399,26121523,15467869,-26560550,5052483 }, - }, -}, -{ - { - { -3017432,10058206,1980837,3964243,22160966,12322533,-6431123,-12618185,12228557,-7003677 }, - { 32944382,14922211,-22844894,5188528,21913450,-8719943,4001465,13238564,-6114803,8653815 }, - { 22865569,-4652735,27603668,-12545395,14348958,8234005,24808405,5719875,28483275,2841751 }, - }, - { - { -16420968,-1113305,-327719,-12107856,21886282,-15552774,-1887966,-315658,19932058,-12739203 }, - { -11656086,10087521,-8864888,-5536143,-19278573,-3055912,3999228,13239134,-4777469,-13910208 }, - { 1382174,-11694719,17266790,9194690,-13324356,9720081,20403944,11284705,-14013818,3093230 }, - }, - { - { 16650921,-11037932,-1064178,1570629,-8329746,7352753,-302424,16271225,-24049421,-6691850 }, - { -21911077,-5927941,-4611316,-5560156,-31744103,-10785293,24123614,15193618,-21652117,-16739389 }, - { -9935934,-4289447,-25279823,4372842,2087473,10399484,31870908,14690798,17361620,11864968 }, - }, - { - { -11307610,6210372,13206574,5806320,-29017692,-13967200,-12331205,-7486601,-25578460,-16240689 }, - { 14668462,-12270235,26039039,15305210,25515617,4542480,10453892,6577524,9145645,-6443880 }, - { 5974874,3053895,-9433049,-10385191,-31865124,3225009,-7972642,3936128,-5652273,-3050304 }, - }, - { - { 30625386,-4729400,-25555961,-12792866,-20484575,7695099,17097188,-16303496,-27999779,1803632 }, - { -3553091,9865099,-5228566,4272701,-5673832,-16689700,14911344,12196514,-21405489,7047412 }, - { 20093277,9920966,-11138194,-5343857,13161587,12044805,-32856851,4124601,-32343828,-10257566 }, - }, - { - { -20788824,14084654,-13531713,7842147,19119038,-13822605,4752377,-8714640,-21679658,2288038 }, - { -26819236,-3283715,29965059,3039786,-14473765,2540457,29457502,14625692,-24819617,12570232 }, - { -1063558,-11551823,16920318,12494842,1278292,-5869109,-21159943,-3498680,-11974704,4724943 }, - }, - { - { 17960970,-11775534,-4140968,-9702530,-8876562,-1410617,-12907383,-8659932,-29576300,1903856 }, - { 23134274,-14279132,-10681997,-1611936,20684485,15770816,-12989750,3190296,26955097,14109738 }, - { 15308788,5320727,-30113809,-14318877,22902008,7767164,29425325,-11277562,31960942,11934971 }, - }, - { - { -27395711,8435796,4109644,12222639,-24627868,14818669,20638173,4875028,10491392,1379718 }, - { -13159415,9197841,3875503,-8936108,-1383712,-5879801,33518459,16176658,21432314,12180697 }, - { -11787308,11500838,13787581,-13832590,-22430679,10140205,1465425,12689540,-10301319,-13872883 }, - }, -}, -{ - { - { 5414091,-15386041,-21007664,9643570,12834970,1186149,-2622916,-1342231,26128231,6032912 }, - { -26337395,-13766162,32496025,-13653919,17847801,-12669156,3604025,8316894,-25875034,-10437358 }, - { 3296484,6223048,24680646,-12246460,-23052020,5903205,-8862297,-4639164,12376617,3188849 }, - }, - { - { 29190488,-14659046,27549113,-1183516,3520066,-10697301,32049515,-7309113,-16109234,-9852307 }, - { -14744486,-9309156,735818,-598978,-20407687,-5057904,25246078,-15795669,18640741,-960977 }, - { -6928835,-16430795,10361374,5642961,4910474,12345252,-31638386,-494430,10530747,1053335 }, - }, - { - { -29265967,-14186805,-13538216,-12117373,-19457059,-10655384,-31462369,-2948985,24018831,15026644 }, - { -22592535,-3145277,-2289276,5953843,-13440189,9425631,25310643,13003497,-2314791,-15145616 }, - { -27419985,-603321,-8043984,-1669117,-26092265,13987819,-27297622,187899,-23166419,-2531735 }, - }, - { - { -21744398,-13810475,1844840,5021428,-10434399,-15911473,9716667,16266922,-5070217,726099 }, - { 29370922,-6053998,7334071,-15342259,9385287,2247707,-13661962,-4839461,30007388,-15823341 }, - { -936379,16086691,23751945,-543318,-1167538,-5189036,9137109,730663,9835848,4555336 }, - }, - { - { -23376435,1410446,-22253753,-12899614,30867635,15826977,17693930,544696,-11985298,12422646 }, - { 31117226,-12215734,-13502838,6561947,-9876867,-12757670,-5118685,-4096706,29120153,13924425 }, - { -17400879,-14233209,19675799,-2734756,-11006962,-5858820,-9383939,-11317700,7240931,-237388 }, - }, - { - { -31361739,-11346780,-15007447,-5856218,-22453340,-12152771,1222336,4389483,3293637,-15551743 }, - { -16684801,-14444245,11038544,11054958,-13801175,-3338533,-24319580,7733547,12796905,-6335822 }, - { -8759414,-10817836,-25418864,10783769,-30615557,-9746811,-28253339,3647836,3222231,-11160462 }, - }, - { - { 18606113,1693100,-25448386,-15170272,4112353,10045021,23603893,-2048234,-7550776,2484985 }, - { 9255317,-3131197,-12156162,-1004256,13098013,-9214866,16377220,-2102812,-19802075,-3034702 }, - { -22729289,7496160,-5742199,11329249,19991973,-3347502,-31718148,9936966,-30097688,-10618797 }, - }, - { - { 21878590,-5001297,4338336,13643897,-3036865,13160960,19708896,5415497,-7360503,-4109293 }, - { 27736861,10103576,12500508,8502413,-3413016,-9633558,10436918,-1550276,-23659143,-8132100 }, - { 19492550,-12104365,-29681976,-852630,-3208171,12403437,30066266,8367329,13243957,8709688 }, - }, -}, -{ - { - { 12015105,2801261,28198131,10151021,24818120,-4743133,-11194191,-5645734,5150968,7274186 }, - { 2831366,-12492146,1478975,6122054,23825128,-12733586,31097299,6083058,31021603,-9793610 }, - { -2529932,-2229646,445613,10720828,-13849527,-11505937,-23507731,16354465,15067285,-14147707 }, - }, - { - { 7840942,14037873,-33364863,15934016,-728213,-3642706,21403988,1057586,-19379462,-12403220 }, - { 915865,-16469274,15608285,-8789130,-24357026,6060030,-17371319,8410997,-7220461,16527025 }, - { 32922597,-556987,20336074,-16184568,10903705,-5384487,16957574,52992,23834301,6588044 }, - }, - { - { 32752030,11232950,3381995,-8714866,22652988,-10744103,17159699,16689107,-20314580,-1305992 }, - { -4689649,9166776,-25710296,-10847306,11576752,12733943,7924251,-2752281,1976123,-7249027 }, - { 21251222,16309901,-2983015,-6783122,30810597,12967303,156041,-3371252,12331345,-8237197 }, - }, - { - { 8651614,-4477032,-16085636,-4996994,13002507,2950805,29054427,-5106970,10008136,-4667901 }, - { 31486080,15114593,-14261250,12951354,14369431,-7387845,16347321,-13662089,8684155,-10532952 }, - { 19443825,11385320,24468943,-9659068,-23919258,2187569,-26263207,-6086921,31316348,14219878 }, - }, - { - { -28594490,1193785,32245219,11392485,31092169,15722801,27146014,6992409,29126555,9207390 }, - { 32382935,1110093,18477781,11028262,-27411763,-7548111,-4980517,10843782,-7957600,-14435730 }, - { 2814918,7836403,27519878,-7868156,-20894015,-11553689,-21494559,8550130,28346258,1994730 }, - }, - { - { -19578299,8085545,-14000519,-3948622,2785838,-16231307,-19516951,7174894,22628102,8115180 }, - { -30405132,955511,-11133838,-15078069,-32447087,-13278079,-25651578,3317160,-9943017,930272 }, - { -15303681,-6833769,28856490,1357446,23421993,1057177,24091212,-1388970,-22765376,-10650715 }, - }, - { - { -22751231,-5303997,-12907607,-12768866,-15811511,-7797053,-14839018,-16554220,-1867018,8398970 }, - { -31969310,2106403,-4736360,1362501,12813763,16200670,22981545,-6291273,18009408,-15772772 }, - { -17220923,-9545221,-27784654,14166835,29815394,7444469,29551787,-3727419,19288549,1325865 }, - }, - { - { 15100157,-15835752,-23923978,-1005098,-26450192,15509408,12376730,-3479146,33166107,-8042750 }, - { 20909231,13023121,-9209752,16251778,-5778415,-8094914,12412151,10018715,2213263,-13878373 }, - { 32529814,-11074689,30361439,-16689753,-9135940,1513226,22922121,6382134,-5766928,8371348 }, - }, -}, -{ - { - { 9923462,11271500,12616794,3544722,-29998368,-1721626,12891687,-8193132,-26442943,10486144 }, - { -22597207,-7012665,8587003,-8257861,4084309,-12970062,361726,2610596,-23921530,-11455195 }, - { 5408411,-1136691,-4969122,10561668,24145918,14240566,31319731,-4235541,19985175,-3436086 }, - }, - { - { -13994457,16616821,14549246,3341099,32155958,13648976,-17577068,8849297,65030,8370684 }, - { -8320926,-12049626,31204563,5839400,-20627288,-1057277,-19442942,6922164,12743482,-9800518 }, - { -2361371,12678785,28815050,4759974,-23893047,4884717,23783145,11038569,18800704,255233 }, - }, - { - { -5269658,-1773886,13957886,7990715,23132995,728773,13393847,9066957,19258688,-14753793 }, - { -2936654,-10827535,-10432089,14516793,-3640786,4372541,-31934921,2209390,-1524053,2055794 }, - { 580882,16705327,5468415,-2683018,-30926419,-14696000,-7203346,-8994389,-30021019,7394435 }, - }, - { - { 23838809,1822728,-15738443,15242727,8318092,-3733104,-21672180,-3492205,-4821741,14799921 }, - { 13345610,9759151,3371034,-16137791,16353039,8577942,31129804,13496856,-9056018,7402518 }, - { 2286874,-4435931,-20042458,-2008336,-13696227,5038122,11006906,-15760352,8205061,1607563 }, - }, - { - { 14414086,-8002132,3331830,-3208217,22249151,-5594188,18364661,-2906958,30019587,-9029278 }, - { -27688051,1585953,-10775053,931069,-29120221,-11002319,-14410829,12029093,9944378,8024 }, - { 4368715,-3709630,29874200,-15022983,-20230386,-11410704,-16114594,-999085,-8142388,5640030 }, - }, - { - { 10299610,13746483,11661824,16234854,7630238,5998374,9809887,-16694564,15219798,-14327783 }, - { 27425505,-5719081,3055006,10660664,23458024,595578,-15398605,-1173195,-18342183,9742717 }, - { 6744077,2427284,26042789,2720740,-847906,1118974,32324614,7406442,12420155,1994844 }, - }, - { - { 14012521,-5024720,-18384453,-9578469,-26485342,-3936439,-13033478,-10909803,24319929,-6446333 }, - { 16412690,-4507367,10772641,15929391,-17068788,-4658621,10555945,-10484049,-30102368,-4739048 }, - { 22397382,-7767684,-9293161,-12792868,17166287,-9755136,-27333065,6199366,21880021,-12250760 }, - }, - { - { -4283307,5368523,-31117018,8163389,-30323063,3209128,16557151,8890729,8840445,4957760 }, - { -15447727,709327,-6919446,-10870178,-29777922,6522332,-21720181,12130072,-14796503,5005757 }, - { -2114751,-14308128,23019042,15765735,-25269683,6002752,10183197,-13239326,-16395286,-2176112 }, - }, -}, -{ - { - { -19025756,1632005,13466291,-7995100,-23640451,16573537,-32013908,-3057104,22208662,2000468 }, - { 3065073,-1412761,-25598674,-361432,-17683065,-5703415,-8164212,11248527,-3691214,-7414184 }, - { 10379208,-6045554,8877319,1473647,-29291284,-12507580,16690915,2553332,-3132688,16400289 }, - }, - { - { 15716668,1254266,-18472690,7446274,-8448918,6344164,-22097271,-7285580,26894937,9132066 }, - { 24158887,12938817,11085297,-8177598,-28063478,-4457083,-30576463,64452,-6817084,-2692882 }, - { 13488534,7794716,22236231,5989356,25426474,-12578208,2350710,-3418511,-4688006,2364226 }, - }, - { - { 16335052,9132434,25640582,6678888,1725628,8517937,-11807024,-11697457,15445875,-7798101 }, - { 29004207,-7867081,28661402,-640412,-12794003,-7943086,31863255,-4135540,-278050,-15759279 }, - { -6122061,-14866665,-28614905,14569919,-10857999,-3591829,10343412,-6976290,-29828287,-10815811 }, - }, - { - { 27081650,3463984,14099042,-4517604,1616303,-6205604,29542636,15372179,17293797,960709 }, - { 20263915,11434237,-5765435,11236810,13505955,-10857102,-16111345,6493122,-19384511,7639714 }, - { -2830798,-14839232,25403038,-8215196,-8317012,-16173699,18006287,-16043750,29994677,-15808121 }, - }, - { - { 9769828,5202651,-24157398,-13631392,-28051003,-11561624,-24613141,-13860782,-31184575,709464 }, - { 12286395,13076066,-21775189,-1176622,-25003198,4057652,-32018128,-8890874,16102007,13205847 }, - { 13733362,5599946,10557076,3195751,-5557991,8536970,-25540170,8525972,10151379,10394400 }, - }, - { - { 4024660,-16137551,22436262,12276534,-9099015,-2686099,19698229,11743039,-33302334,8934414 }, - { -15879800,-4525240,-8580747,-2934061,14634845,-698278,-9449077,3137094,-11536886,11721158 }, - { 17555939,-5013938,8268606,2331751,-22738815,9761013,9319229,8835153,-9205489,-1280045 }, - }, - { - { -461409,-7830014,20614118,16688288,-7514766,-4807119,22300304,505429,6108462,-6183415 }, - { -5070281,12367917,-30663534,3234473,32617080,-8422642,29880583,-13483331,-26898490,-7867459 }, - { -31975283,5726539,26934134,10237677,-3173717,-605053,24199304,3795095,7592688,-14992079 }, - }, - { - { 21594432,-14964228,17466408,-4077222,32537084,2739898,6407723,12018833,-28256052,4298412 }, - { -20650503,-11961496,-27236275,570498,3767144,-1717540,13891942,-1569194,13717174,10805743 }, - { -14676630,-15644296,15287174,11927123,24177847,-8175568,-796431,14860609,-26938930,-5863836 }, - }, -}, -{ - { - { 12962541,5311799,-10060768,11658280,18855286,-7954201,13286263,-12808704,-4381056,9882022 }, - { 18512079,11319350,-20123124,15090309,18818594,5271736,-22727904,3666879,-23967430,-3299429 }, - { -6789020,-3146043,16192429,13241070,15898607,-14206114,-10084880,-6661110,-2403099,5276065 }, - }, - { - { 30169808,-5317648,26306206,-11750859,27814964,7069267,7152851,3684982,1449224,13082861 }, - { 10342826,3098505,2119311,193222,25702612,12233820,23697382,15056736,-21016438,-8202000 }, - { -33150110,3261608,22745853,7948688,19370557,-15177665,-26171976,6482814,-10300080,-11060101 }, - }, - { - { 32869458,-5408545,25609743,15678670,-10687769,-15471071,26112421,2521008,-22664288,6904815 }, - { 29506923,4457497,3377935,-9796444,-30510046,12935080,1561737,3841096,-29003639,-6657642 }, - { 10340844,-6630377,-18656632,-2278430,12621151,-13339055,30878497,-11824370,-25584551,5181966 }, - }, - { - { 25940115,-12658025,17324188,-10307374,-8671468,15029094,24396252,-16450922,-2322852,-12388574 }, - { -21765684,9916823,-1300409,4079498,-1028346,11909559,1782390,12641087,20603771,-6561742 }, - { -18882287,-11673380,24849422,11501709,13161720,-4768874,1925523,11914390,4662781,7820689 }, - }, - { - { 12241050,-425982,8132691,9393934,32846760,-1599620,29749456,12172924,16136752,15264020 }, - { -10349955,-14680563,-8211979,2330220,-17662549,-14545780,10658213,6671822,19012087,3772772 }, - { 3753511,-3421066,10617074,2028709,14841030,-6721664,28718732,-15762884,20527771,12988982 }, - }, - { - { -14822485,-5797269,-3707987,12689773,-898983,-10914866,-24183046,-10564943,3299665,-12424953 }, - { -16777703,-15253301,-9642417,4978983,3308785,8755439,6943197,6461331,-25583147,8991218 }, - { -17226263,1816362,-1673288,-6086439,31783888,-8175991,-32948145,7417950,-30242287,1507265 }, - }, - { - { 29692663,6829891,-10498800,4334896,20945975,-11906496,-28887608,8209391,14606362,-10647073 }, - { -3481570,8707081,32188102,5672294,22096700,1711240,-33020695,9761487,4170404,-2085325 }, - { -11587470,14855945,-4127778,-1531857,-26649089,15084046,22186522,16002000,-14276837,-8400798 }, - }, - { - { -4811456,13761029,-31703877,-2483919,-3312471,7869047,-7113572,-9620092,13240845,10965870 }, - { -7742563,-8256762,-14768334,-13656260,-23232383,12387166,4498947,14147411,29514390,4302863 }, - { -13413405,-12407859,20757302,-13801832,14785143,8976368,-5061276,-2144373,17846988,-13971927 }, - }, -}, -{ - { - { -2244452,-754728,-4597030,-1066309,-6247172,1455299,-21647728,-9214789,-5222701,12650267 }, - { -9906797,-16070310,21134160,12198166,-27064575,708126,387813,13770293,-19134326,10958663 }, - { 22470984,12369526,23446014,-5441109,-21520802,-9698723,-11772496,-11574455,-25083830,4271862 }, - }, - { - { -25169565,-10053642,-19909332,15361595,-5984358,2159192,75375,-4278529,-32526221,8469673 }, - { 15854970,4148314,-8893890,7259002,11666551,13824734,-30531198,2697372,24154791,-9460943 }, - { 15446137,-15806644,29759747,14019369,30811221,-9610191,-31582008,12840104,24913809,9815020 }, - }, - { - { -4709286,-5614269,-31841498,-12288893,-14443537,10799414,-9103676,13438769,18735128,9466238 }, - { 11933045,9281483,5081055,-5183824,-2628162,-4905629,-7727821,-10896103,-22728655,16199064 }, - { 14576810,379472,-26786533,-8317236,-29426508,-10812974,-102766,1876699,30801119,2164795 }, - }, - { - { 15995086,3199873,13672555,13712240,-19378835,-4647646,-13081610,-15496269,-13492807,1268052 }, - { -10290614,-3659039,-3286592,10948818,23037027,3794475,-3470338,-12600221,-17055369,3565904 }, - { 29210088,-9419337,-5919792,-4952785,10834811,-13327726,-16512102,-10820713,-27162222,-14030531 }, - }, - { - { -13161890,15508588,16663704,-8156150,-28349942,9019123,-29183421,-3769423,2244111,-14001979 }, - { -5152875,-3800936,-9306475,-6071583,16243069,14684434,-25673088,-16180800,13491506,4641841 }, - { 10813417,643330,-19188515,-728916,30292062,-16600078,27548447,-7721242,14476989,-12767431 }, - }, - { - { 10292079,9984945,6481436,8279905,-7251514,7032743,27282937,-1644259,-27912810,12651324 }, - { -31185513,-813383,22271204,11835308,10201545,15351028,17099662,3988035,21721536,-3148940 }, - { 10202177,-6545839,-31373232,-9574638,-32150642,-8119683,-12906320,3852694,13216206,14842320 }, - }, - { - { -15815640,-10601066,-6538952,-7258995,-6984659,-6581778,-31500847,13765824,-27434397,9900184 }, - { 14465505,-13833331,-32133984,-14738873,-27443187,12990492,33046193,15796406,-7051866,-8040114 }, - { 30924417,-8279620,6359016,-12816335,16508377,9071735,-25488601,15413635,9524356,-7018878 }, - }, - { - { 12274201,-13175547,32627641,-1785326,6736625,13267305,5237659,-5109483,15663516,4035784 }, - { -2951309,8903985,17349946,601635,-16432815,-4612556,-13732739,-15889334,-22258478,4659091 }, - { -16916263,-4952973,-30393711,-15158821,20774812,15897498,5736189,15026997,-2178256,-13455585 }, - }, -}, -{ - { - { -8858980,-2219056,28571666,-10155518,-474467,-10105698,-3801496,278095,23440562,-290208 }, - { 10226241,-5928702,15139956,120818,-14867693,5218603,32937275,11551483,-16571960,-7442864 }, - { 17932739,-12437276,-24039557,10749060,11316803,7535897,22503767,5561594,-3646624,3898661 }, - }, - { - { 7749907,-969567,-16339731,-16464,-25018111,15122143,-1573531,7152530,21831162,1245233 }, - { 26958459,-14658026,4314586,8346991,-5677764,11960072,-32589295,-620035,-30402091,-16716212 }, - { -12165896,9166947,33491384,13673479,29787085,13096535,6280834,14587357,-22338025,13987525 }, - }, - { - { -24349909,7778775,21116000,15572597,-4833266,-5357778,-4300898,-5124639,-7469781,-2858068 }, - { 9681908,-6737123,-31951644,13591838,-6883821,386950,31622781,6439245,-14581012,4091397 }, - { -8426427,1470727,-28109679,-1596990,3978627,-5123623,-19622683,12092163,29077877,-14741988 }, - }, - { - { 5269168,-6859726,-13230211,-8020715,25932563,1763552,-5606110,-5505881,-20017847,2357889 }, - { 32264008,-15407652,-5387735,-1160093,-2091322,-3946900,23104804,-12869908,5727338,189038 }, - { 14609123,-8954470,-6000566,-16622781,-14577387,-7743898,-26745169,10942115,-25888931,-14884697 }, - }, - { - { 20513500,5557931,-15604613,7829531,26413943,-2019404,-21378968,7471781,13913677,-5137875 }, - { -25574376,11967826,29233242,12948236,-6754465,4713227,-8940970,14059180,12878652,8511905 }, - { -25656801,3393631,-2955415,-7075526,-2250709,9366908,-30223418,6812974,5568676,-3127656 }, - }, - { - { 11630004,12144454,2116339,13606037,27378885,15676917,-17408753,-13504373,-14395196,8070818 }, - { 27117696,-10007378,-31282771,-5570088,1127282,12772488,-29845906,10483306,-11552749,-1028714 }, - { 10637467,-5688064,5674781,1072708,-26343588,-6982302,-1683975,9177853,-27493162,15431203 }, - }, - { - { 20525145,10892566,-12742472,12779443,-29493034,16150075,-28240519,14943142,-15056790,-7935931 }, - { -30024462,5626926,-551567,-9981087,753598,11981191,25244767,-3239766,-3356550,9594024 }, - { -23752644,2636870,-5163910,-10103818,585134,7877383,11345683,-6492290,13352335,-10977084 }, - }, - { - { -1931799,-5407458,3304649,-12884869,17015806,-4877091,-29783850,-7752482,-13215537,-319204 }, - { 20239939,6607058,6203985,3483793,-18386976,-779229,-20723742,15077870,-22750759,14523817 }, - { 27406042,-6041657,27423596,-4497394,4996214,10002360,-28842031,-4545494,-30172742,-4805667 }, - }, -}, -{ - { - { 11374242,12660715,17861383,-12540833,10935568,1099227,-13886076,-9091740,-27727044,11358504 }, - { -12730809,10311867,1510375,10778093,-2119455,-9145702,32676003,11149336,-26123651,4985768 }, - { -19096303,341147,-6197485,-239033,15756973,-8796662,-983043,13794114,-19414307,-15621255 }, - }, - { - { 6490081,11940286,25495923,-7726360,8668373,-8751316,3367603,6970005,-1691065,-9004790 }, - { 1656497,13457317,15370807,6364910,13605745,8362338,-19174622,-5475723,-16796596,-5031438 }, - { -22273315,-13524424,-64685,-4334223,-18605636,-10921968,-20571065,-7007978,-99853,-10237333 }, - }, - { - { 17747465,10039260,19368299,-4050591,-20630635,-16041286,31992683,-15857976,-29260363,-5511971 }, - { 31932027,-4986141,-19612382,16366580,22023614,88450,11371999,-3744247,4882242,-10626905 }, - { 29796507,37186,19818052,10115756,-11829032,3352736,18551198,3272828,-5190932,-4162409 }, - }, - { - { 12501286,4044383,-8612957,-13392385,-32430052,5136599,-19230378,-3529697,330070,-3659409 }, - { 6384877,2899513,17807477,7663917,-2358888,12363165,25366522,-8573892,-271295,12071499 }, - { -8365515,-4042521,25133448,-4517355,-6211027,2265927,-32769618,1936675,-5159697,3829363 }, - }, - { - { 28425966,-5835433,-577090,-4697198,-14217555,6870930,7921550,-6567787,26333140,14267664 }, - { -11067219,11871231,27385719,-10559544,-4585914,-11189312,10004786,-8709488,-21761224,8930324 }, - { -21197785,-16396035,25654216,-1725397,12282012,11008919,1541940,4757911,-26491501,-16408940 }, - }, - { - { 13537262,-7759490,-20604840,10961927,-5922820,-13218065,-13156584,6217254,-15943699,13814990 }, - { -17422573,15157790,18705543,29619,24409717,-260476,27361681,9257833,-1956526,-1776914 }, - { -25045300,-10191966,15366585,15166509,-13105086,8423556,-29171540,12361135,-18685978,4578290 }, - }, - { - { 24579768,3711570,1342322,-11180126,-27005135,14124956,-22544529,14074919,21964432,8235257 }, - { -6528613,-2411497,9442966,-5925588,12025640,-1487420,-2981514,-1669206,13006806,2355433 }, - { -16304899,-13605259,-6632427,-5142349,16974359,-10911083,27202044,1719366,1141648,-12796236 }, - }, - { - { -12863944,-13219986,-8318266,-11018091,-6810145,-4843894,13475066,-3133972,32674895,13715045 }, - { 11423335,-5468059,32344216,8962751,24989809,9241752,-13265253,16086212,-28740881,-15642093 }, - { -1409668,12530728,-6368726,10847387,19531186,-14132160,-11709148,7791794,-27245943,4383347 }, - }, -}, -{ - { - { -28970898,5271447,-1266009,-9736989,-12455236,16732599,-4862407,-4906449,27193557,6245191 }, - { -15193956,5362278,-1783893,2695834,4960227,12840725,23061898,3260492,22510453,8577507 }, - { -12632451,11257346,-32692994,13548177,-721004,10879011,31168030,13952092,-29571492,-3635906 }, - }, - { - { 3877321,-9572739,32416692,5405324,-11004407,-13656635,3759769,11935320,5611860,8164018 }, - { -16275802,14667797,15906460,12155291,-22111149,-9039718,32003002,-8832289,5773085,-8422109 }, - { -23788118,-8254300,1950875,8937633,18686727,16459170,-905725,12376320,31632953,190926 }, - }, - { - { -24593607,-16138885,-8423991,13378746,14162407,6901328,-8288749,4508564,-25341555,-3627528 }, - { 8884438,-5884009,6023974,10104341,-6881569,-4941533,18722941,-14786005,-1672488,827625 }, - { -32720583,-16289296,-32503547,7101210,13354605,2659080,-1800575,-14108036,-24878478,1541286 }, - }, - { - { 2901347,-1117687,3880376,-10059388,-17620940,-3612781,-21802117,-3567481,20456845,-1885033 }, - { 27019610,12299467,-13658288,-1603234,-12861660,-4861471,-19540150,-5016058,29439641,15138866 }, - { 21536104,-6626420,-32447818,-10690208,-22408077,5175814,-5420040,-16361163,7779328,109896 }, - }, - { - { 30279744,14648750,-8044871,6425558,13639621,-743509,28698390,12180118,23177719,-554075 }, - { 26572847,3405927,-31701700,12890905,-19265668,5335866,-6493768,2378492,4439158,-13279347 }, - { -22716706,3489070,-9225266,-332753,18875722,-1140095,14819434,-12731527,-17717757,-5461437 }, - }, - { - { -5056483,16566551,15953661,3767752,-10436499,15627060,-820954,2177225,8550082,-15114165 }, - { -18473302,16596775,-381660,15663611,22860960,15585581,-27844109,-3582739,-23260460,-8428588 }, - { -32480551,15707275,-8205912,-5652081,29464558,2713815,-22725137,15860482,-21902570,1494193 }, - }, - { - { -19562091,-14087393,-25583872,-9299552,13127842,759709,21923482,16529112,8742704,12967017 }, - { -28464899,1553205,32536856,-10473729,-24691605,-406174,-8914625,-2933896,-29903758,15553883 }, - { 21877909,3230008,9881174,10539357,-4797115,2841332,11543572,14513274,19375923,-12647961 }, - }, - { - { 8832269,-14495485,13253511,5137575,5037871,4078777,24880818,-6222716,2862653,9455043 }, - { 29306751,5123106,20245049,-14149889,9592566,8447059,-2077124,-2990080,15511449,4789663 }, - { -20679756,7004547,8824831,-9434977,-4045704,-3750736,-5754762,108893,23513200,16652362 }, - }, -}, -{ - { - { -33256173,4144782,-4476029,-6579123,10770039,-7155542,-6650416,-12936300,-18319198,10212860 }, - { 2756081,8598110,7383731,-6859892,22312759,-1105012,21179801,2600940,-9988298,-12506466 }, - { -24645692,13317462,-30449259,-15653928,21365574,-10869657,11344424,864440,-2499677,-16710063 }, - }, - { - { -26432803,6148329,-17184412,-14474154,18782929,-275997,-22561534,211300,2719757,4940997 }, - { -1323882,3911313,-6948744,14759765,-30027150,7851207,21690126,8518463,26699843,5276295 }, - { -13149873,-6429067,9396249,365013,24703301,-10488939,1321586,149635,-15452774,7159369 }, - }, - { - { 9987780,-3404759,17507962,9505530,9731535,-2165514,22356009,8312176,22477218,-8403385 }, - { 18155857,-16504990,19744716,9006923,15154154,-10538976,24256460,-4864995,-22548173,9334109 }, - { 2986088,-4911893,10776628,-3473844,10620590,-7083203,-21413845,14253545,-22587149,536906 }, - }, - { - { 4377756,8115836,24567078,15495314,11625074,13064599,7390551,10589625,10838060,-15420424 }, - { -19342404,867880,9277171,-3218459,-14431572,-1986443,19295826,-15796950,6378260,699185 }, - { 7895026,4057113,-7081772,-13077756,-17886831,-323126,-716039,15693155,-5045064,-13373962 }, - }, - { - { -7737563,-5869402,-14566319,-7406919,11385654,13201616,31730678,-10962840,-3918636,-9669325 }, - { 10188286,-15770834,-7336361,13427543,22223443,14896287,30743455,7116568,-21786507,5427593 }, - { 696102,13206899,27047647,-10632082,15285305,-9853179,10798490,-4578720,19236243,12477404 }, - }, - { - { -11229439,11243796,-17054270,-8040865,-788228,-8167967,-3897669,11180504,-23169516,7733644 }, - { 17800790,-14036179,-27000429,-11766671,23887827,3149671,23466177,-10538171,10322027,15313801 }, - { 26246234,11968874,32263343,-5468728,6830755,-13323031,-15794704,-101982,-24449242,10890804 }, - }, - { - { -31365647,10271363,-12660625,-6267268,16690207,-13062544,-14982212,16484931,25180797,-5334884 }, - { -586574,10376444,-32586414,-11286356,19801893,10997610,2276632,9482883,316878,13820577 }, - { -9882808,-4510367,-2115506,16457136,-11100081,11674996,30756178,-7515054,30696930,-3712849 }, - }, - { - { 32988917,-9603412,12499366,7910787,-10617257,-11931514,-7342816,-9985397,-32349517,7392473 }, - { -8855661,15927861,9866406,-3649411,-2396914,-16655781,-30409476,-9134995,25112947,-2926644 }, - { -2504044,-436966,25621774,-5678772,15085042,-5479877,-24884878,-13526194,5537438,-13914319 }, - }, -}, -{ - { - { -11225584,2320285,-9584280,10149187,-33444663,5808648,-14876251,-1729667,31234590,6090599 }, - { -9633316,116426,26083934,2897444,-6364437,-2688086,609721,15878753,-6970405,-9034768 }, - { -27757857,247744,-15194774,-9002551,23288161,-10011936,-23869595,6503646,20650474,1804084 }, - }, - { - { -27589786,15456424,8972517,8469608,15640622,4439847,3121995,-10329713,27842616,-202328 }, - { -15306973,2839644,22530074,10026331,4602058,5048462,28248656,5031932,-11375082,12714369 }, - { 20807691,-7270825,29286141,11421711,-27876523,-13868230,-21227475,1035546,-19733229,12796920 }, - }, - { - { 12076899,-14301286,-8785001,-11848922,-25012791,16400684,-17591495,-12899438,3480665,-15182815 }, - { -32361549,5457597,28548107,7833186,7303070,-11953545,-24363064,-15921875,-33374054,2771025 }, - { -21389266,421932,26597266,6860826,22486084,-6737172,-17137485,-4210226,-24552282,15673397 }, - }, - { - { -20184622,2338216,19788685,-9620956,-4001265,-8740893,-20271184,4733254,3727144,-12934448 }, - { 6120119,814863,-11794402,-622716,6812205,-15747771,2019594,7975683,31123697,-10958981 }, - { 30069250,-11435332,30434654,2958439,18399564,-976289,12296869,9204260,-16432438,9648165 }, - }, - { - { 32705432,-1550977,30705658,7451065,-11805606,9631813,3305266,5248604,-26008332,-11377501 }, - { 17219865,2375039,-31570947,-5575615,-19459679,9219903,294711,15298639,2662509,-16297073 }, - { -1172927,-7558695,-4366770,-4287744,-21346413,-8434326,32087529,-1222777,32247248,-14389861 }, - }, - { - { 14312628,1221556,17395390,-8700143,-4945741,-8684635,-28197744,-9637817,-16027623,-13378845 }, - { -1428825,-9678990,-9235681,6549687,-7383069,-468664,23046502,9803137,17597934,2346211 }, - { 18510800,15337574,26171504,981392,-22241552,7827556,-23491134,-11323352,3059833,-11782870 }, - }, - { - { 10141598,6082907,17829293,-1947643,9830092,13613136,-25556636,-5544586,-33502212,3592096 }, - { 33114168,-15889352,-26525686,-13343397,33076705,8716171,1151462,1521897,-982665,-6837803 }, - { -32939165,-4255815,23947181,-324178,-33072974,-12305637,-16637686,3891704,26353178,693168 }, - }, - { - { 30374239,1595580,-16884039,13186931,4600344,406904,9585294,-400668,31375464,14369965 }, - { -14370654,-7772529,1510301,6434173,-18784789,-6262728,32732230,-13108839,17901441,16011505 }, - { 18171223,-11934626,-12500402,15197122,-11038147,-15230035,-19172240,-16046376,8764035,12309598 }, - }, -}, -{ - { - { 5975908,-5243188,-19459362,-9681747,-11541277,14015782,-23665757,1228319,17544096,-10593782 }, - { 5811932,-1715293,3442887,-2269310,-18367348,-8359541,-18044043,-15410127,-5565381,12348900 }, - { -31399660,11407555,25755363,6891399,-3256938,14872274,-24849353,8141295,-10632534,-585479 }, - }, - { - { -12675304,694026,-5076145,13300344,14015258,-14451394,-9698672,-11329050,30944593,1130208 }, - { 8247766,-6710942,-26562381,-7709309,-14401939,-14648910,4652152,2488540,23550156,-271232 }, - { 17294316,-3788438,7026748,15626851,22990044,113481,2267737,-5908146,-408818,-137719 }, - }, - { - { 16091085,-16253926,18599252,7340678,2137637,-1221657,-3364161,14550936,3260525,-7166271 }, - { -4910104,-13332887,18550887,10864893,-16459325,-7291596,-23028869,-13204905,-12748722,2701326 }, - { -8574695,16099415,4629974,-16340524,-20786213,-6005432,-10018363,9276971,11329923,1862132 }, - }, - { - { 14763076,-15903608,-30918270,3689867,3511892,10313526,-21951088,12219231,-9037963,-940300 }, - { 8894987,-3446094,6150753,3013931,301220,15693451,-31981216,-2909717,-15438168,11595570 }, - { 15214962,3537601,-26238722,-14058872,4418657,-15230761,13947276,10730794,-13489462,-4363670 }, - }, - { - { -2538306,7682793,32759013,263109,-29984731,-7955452,-22332124,-10188635,977108,699994 }, - { -12466472,4195084,-9211532,550904,-15565337,12917920,19118110,-439841,-30534533,-14337913 }, - { 31788461,-14507657,4799989,7372237,8808585,-14747943,9408237,-10051775,12493932,-5409317 }, - }, - { - { -25680606,5260744,-19235809,-6284470,-3695942,16566087,27218280,2607121,29375955,6024730 }, - { 842132,-2794693,-4763381,-8722815,26332018,-12405641,11831880,6985184,-9940361,2854096 }, - { -4847262,-7969331,2516242,-5847713,9695691,-7221186,16512645,960770,12121869,16648078 }, - }, - { - { -15218652,14667096,-13336229,2013717,30598287,-464137,-31504922,-7882064,20237806,2838411 }, - { -19288047,4453152,15298546,-16178388,22115043,-15972604,12544294,-13470457,1068881,-12499905 }, - { -9558883,-16518835,33238498,13506958,30505848,-1114596,-8486907,-2630053,12521378,4845654 }, - }, - { - { -28198521,10744108,-2958380,10199664,7759311,-13088600,3409348,-873400,-6482306,-12885870 }, - { -23561822,6230156,-20382013,10655314,-24040585,-11621172,10477734,-1240216,-3113227,13974498 }, - { 12966261,15550616,-32038948,-1615346,21025980,-629444,5642325,7188737,18895762,12629579 }, - }, -}, -{ - { - { 14741879,-14946887,22177208,-11721237,1279741,8058600,11758140,789443,32195181,3895677 }, - { 10758205,15755439,-4509950,9243698,-4879422,6879879,-2204575,-3566119,-8982069,4429647 }, - { -2453894,15725973,-20436342,-10410672,-5803908,-11040220,-7135870,-11642895,18047436,-15281743 }, - }, - { - { -25173001,-11307165,29759956,11776784,-22262383,-15820455,10993114,-12850837,-17620701,-9408468 }, - { 21987233,700364,-24505048,14972008,-7774265,-5718395,32155026,2581431,-29958985,8773375 }, - { -25568350,454463,-13211935,16126715,25240068,8594567,20656846,12017935,-7874389,-13920155 }, - }, - { - { 6028182,6263078,-31011806,-11301710,-818919,2461772,-31841174,-5468042,-1721788,-2776725 }, - { -12278994,16624277,987579,-5922598,32908203,1248608,7719845,-4166698,28408820,6816612 }, - { -10358094,-8237829,19549651,-12169222,22082623,16147817,20613181,13982702,-10339570,5067943 }, - }, - { - { -30505967,-3821767,12074681,13582412,-19877972,2443951,-19719286,12746132,5331210,-10105944 }, - { 30528811,3601899,-1957090,4619785,-27361822,-15436388,24180793,-12570394,27679908,-1648928 }, - { 9402404,-13957065,32834043,10838634,-26580150,-13237195,26653274,-8685565,22611444,-12715406 }, - }, - { - { 22190590,1118029,22736441,15130463,-30460692,-5991321,19189625,-4648942,4854859,6622139 }, - { -8310738,-2953450,-8262579,-3388049,-10401731,-271929,13424426,-3567227,26404409,13001963 }, - { -31241838,-15415700,-2994250,8939346,11562230,-12840670,-26064365,-11621720,-15405155,11020693 }, - }, - { - { 1866042,-7949489,-7898649,-10301010,12483315,13477547,3175636,-12424163,28761762,1406734 }, - { -448555,-1777666,13018551,3194501,-9580420,-11161737,24760585,-4347088,25577411,-13378680 }, - { -24290378,4759345,-690653,-1852816,2066747,10693769,-29595790,9884936,-9368926,4745410 }, - }, - { - { -9141284,6049714,-19531061,-4341411,-31260798,9944276,-15462008,-11311852,10931924,-11931931 }, - { -16561513,14112680,-8012645,4817318,-8040464,-11414606,-22853429,10856641,-20470770,13434654 }, - { 22759489,-10073434,-16766264,-1871422,13637442,-10168091,1765144,-12654326,28445307,-5364710 }, - }, - { - { 29875063,12493613,2795536,-3786330,1710620,15181182,-10195717,-8788675,9074234,1167180 }, - { -26205683,11014233,-9842651,-2635485,-26908120,7532294,-18716888,-9535498,3843903,9367684 }, - { -10969595,-6403711,9591134,9582310,11349256,108879,16235123,8601684,-139197,4242895 }, - }, -}, -{ - { - { 22092954,-13191123,-2042793,-11968512,32186753,-11517388,-6574341,2470660,-27417366,16625501 }, - { -11057722,3042016,13770083,-9257922,584236,-544855,-7770857,2602725,-27351616,14247413 }, - { 6314175,-10264892,-32772502,15957557,-10157730,168750,-8618807,14290061,27108877,-1180880 }, - }, - { - { -8586597,-7170966,13241782,10960156,-32991015,-13794596,33547976,-11058889,-27148451,981874 }, - { 22833440,9293594,-32649448,-13618667,-9136966,14756819,-22928859,-13970780,-10479804,-16197962 }, - { -7768587,3326786,-28111797,10783824,19178761,14905060,22680049,13906969,-15933690,3797899 }, - }, - { - { 21721356,-4212746,-12206123,9310182,-3882239,-13653110,23740224,-2709232,20491983,-8042152 }, - { 9209270,-15135055,-13256557,-6167798,-731016,15289673,25947805,15286587,30997318,-6703063 }, - { 7392032,16618386,23946583,-8039892,-13265164,-1533858,-14197445,-2321576,17649998,-250080 }, - }, - { - { -9301088,-14193827,30609526,-3049543,-25175069,-1283752,-15241566,-9525724,-2233253,7662146 }, - { -17558673,1763594,-33114336,15908610,-30040870,-12174295,7335080,-8472199,-3174674,3440183 }, - { -19889700,-5977008,-24111293,-9688870,10799743,-16571957,40450,-4431835,4862400,1133 }, - }, - { - { -32856209,-7873957,-5422389,14860950,-16319031,7956142,7258061,311861,-30594991,-7379421 }, - { -3773428,-1565936,28985340,7499440,24445838,9325937,29727763,16527196,18278453,15405622 }, - { -4381906,8508652,-19898366,-3674424,-5984453,15149970,-13313598,843523,-21875062,13626197 }, - }, - { - { 2281448,-13487055,-10915418,-2609910,1879358,16164207,-10783882,3953792,13340839,15928663 }, - { 31727126,-7179855,-18437503,-8283652,2875793,-16390330,-25269894,-7014826,-23452306,5964753 }, - { 4100420,-5959452,-17179337,6017714,-18705837,12227141,-26684835,11344144,2538215,-7570755 }, - }, - { - { -9433605,6123113,11159803,-2156608,30016280,14966241,-20474983,1485421,-629256,-15958862 }, - { -26804558,4260919,11851389,9658551,-32017107,16367492,-20205425,-13191288,11659922,-11115118 }, - { 26180396,10015009,-30844224,-8581293,5418197,9480663,2231568,-10170080,33100372,-1306171 }, - }, - { - { 15121113,-5201871,-10389905,15427821,-27509937,-15992507,21670947,4486675,-5931810,-14466380 }, - { 16166486,-9483733,-11104130,6023908,-31926798,-1364923,2340060,-16254968,-10735770,-10039824 }, - { 28042865,-3557089,-12126526,12259706,-3717498,-6945899,6766453,-8689599,18036436,5803270 }, - }, -}, -{ - { - { -817581,6763912,11803561,1585585,10958447,-2671165,23855391,4598332,-6159431,-14117438 }, - { -31031306,-14256194,17332029,-2383520,31312682,-5967183,696309,50292,-20095739,11763584 }, - { -594563,-2514283,-32234153,12643980,12650761,14811489,665117,-12613632,-19773211,-10713562 }, - }, - { - { 30464590,-11262872,-4127476,-12734478,19835327,-7105613,-24396175,2075773,-17020157,992471 }, - { 18357185,-6994433,7766382,16342475,-29324918,411174,14578841,8080033,-11574335,-10601610 }, - { 19598397,10334610,12555054,2555664,18821899,-10339780,21873263,16014234,26224780,16452269 }, - }, - { - { -30223925,5145196,5944548,16385966,3976735,2009897,-11377804,-7618186,-20533829,3698650 }, - { 14187449,3448569,-10636236,-10810935,-22663880,-3433596,7268410,-10890444,27394301,12015369 }, - { 19695761,16087646,28032085,12999827,6817792,11427614,20244189,-1312777,-13259127,-3402461 }, - }, - { - { 30860103,12735208,-1888245,-4699734,-16974906,2256940,-8166013,12298312,-8550524,-10393462 }, - { -5719826,-11245325,-1910649,15569035,26642876,-7587760,-5789354,-15118654,-4976164,12651793 }, - { -2848395,9953421,11531313,-5282879,26895123,-12697089,-13118820,-16517902,9768698,-2533218 }, - }, - { - { -24719459,1894651,-287698,-4704085,15348719,-8156530,32767513,12765450,4940095,10678226 }, - { 18860224,15980149,-18987240,-1562570,-26233012,-11071856,-7843882,13944024,-24372348,16582019 }, - { -15504260,4970268,-29893044,4175593,-20993212,-2199756,-11704054,15444560,-11003761,7989037 }, - }, - { - { 31490452,5568061,-2412803,2182383,-32336847,4531686,-32078269,6200206,-19686113,-14800171 }, - { -17308668,-15879940,-31522777,-2831,-32887382,16375549,8680158,-16371713,28550068,-6857132 }, - { -28126887,-5688091,16837845,-1820458,-6850681,12700016,-30039981,4364038,1155602,5988841 }, - }, - { - { 21890435,-13272907,-12624011,12154349,-7831873,15300496,23148983,-4470481,24618407,8283181 }, - { -33136107,-10512751,9975416,6841041,-31559793,16356536,3070187,-7025928,1466169,10740210 }, - { -1509399,-15488185,-13503385,-10655916,32799044,909394,-13938903,-5779719,-32164649,-15327040 }, - }, - { - { 3960823,-14267803,-28026090,-15918051,-19404858,13146868,15567327,951507,-3260321,-573935 }, - { 24740841,5052253,-30094131,8961361,25877428,6165135,-24368180,14397372,-7380369,-6144105 }, - { -28888365,3510803,-28103278,-1158478,-11238128,-10631454,-15441463,-14453128,-1625486,-6494814 }, - }, -}, -{ - { - { 793299,-9230478,8836302,-6235707,-27360908,-2369593,33152843,-4885251,-9906200,-621852 }, - { 5666233,525582,20782575,-8038419,-24538499,14657740,16099374,1468826,-6171428,-15186581 }, - { -4859255,-3779343,-2917758,-6748019,7778750,11688288,-30404353,-9871238,-1558923,-9863646 }, - }, - { - { 10896332,-7719704,824275,472601,-19460308,3009587,25248958,14783338,-30581476,-15757844 }, - { 10566929,12612572,-31944212,11118703,-12633376,12362879,21752402,8822496,24003793,14264025 }, - { 27713862,-7355973,-11008240,9227530,27050101,2504721,23886875,-13117525,13958495,-5732453 }, - }, - { - { -23481610,4867226,-27247128,3900521,29838369,-8212291,-31889399,-10041781,7340521,-15410068 }, - { 4646514,-8011124,-22766023,-11532654,23184553,8566613,31366726,-1381061,-15066784,-10375192 }, - { -17270517,12723032,-16993061,14878794,21619651,-6197576,27584817,3093888,-8843694,3849921 }, - }, - { - { -9064912,2103172,25561640,-15125738,-5239824,9582958,32477045,-9017955,5002294,-15550259 }, - { -12057553,-11177906,21115585,-13365155,8808712,-12030708,16489530,13378448,-25845716,12741426 }, - { -5946367,10645103,-30911586,15390284,-3286982,-7118677,24306472,15852464,28834118,-7646072 }, - }, - { - { -17335748,-9107057,-24531279,9434953,-8472084,-583362,-13090771,455841,20461858,5491305 }, - { 13669248,-16095482,-12481974,-10203039,-14569770,-11893198,-24995986,11293807,-28588204,-9421832 }, - { 28497928,6272777,-33022994,14470570,8906179,-1225630,18504674,-14165166,29867745,-8795943 }, - }, - { - { -16207023,13517196,-27799630,-13697798,24009064,-6373891,-6367600,-13175392,22853429,-4012011 }, - { 24191378,16712145,-13931797,15217831,14542237,1646131,18603514,-11037887,12876623,-2112447 }, - { 17902668,4518229,-411702,-2829247,26878217,5258055,-12860753,608397,16031844,3723494 }, - }, - { - { -28632773,12763728,-20446446,7577504,33001348,-13017745,17558842,-7872890,23896954,-4314245 }, - { -20005381,-12011952,31520464,605201,2543521,5991821,-2945064,7229064,-9919646,-8826859 }, - { 28816045,298879,-28165016,-15920938,19000928,-1665890,-12680833,-2949325,-18051778,-2082915 }, - }, - { - { 16000882,-344896,3493092,-11447198,-29504595,-13159789,12577740,16041268,-19715240,7847707 }, - { 10151868,10572098,27312476,7922682,14825339,4723128,-32855931,-6519018,-10020567,3852848 }, - { -11430470,15697596,-21121557,-4420647,5386314,15063598,16514493,-15932110,29330899,-15076224 }, - }, -}, -{ - { - { -25499735,-4378794,-15222908,-6901211,16615731,2051784,3303702,15490,-27548796,12314391 }, - { 15683520,-6003043,18109120,-9980648,15337968,-5997823,-16717435,15921866,16103996,-3731215 }, - { -23169824,-10781249,13588192,-1628807,-3798557,-1074929,-19273607,5402699,-29815713,-9841101 }, - }, - { - { 23190676,2384583,-32714340,3462154,-29903655,-1529132,-11266856,8911517,-25205859,2739713 }, - { 21374101,-3554250,-33524649,9874411,15377179,11831242,-33529904,6134907,4931255,11987849 }, - { -7732,-2978858,-16223486,7277597,105524,-322051,-31480539,13861388,-30076310,10117930 }, - }, - { - { -29501170,-10744872,-26163768,13051539,-25625564,5089643,-6325503,6704079,12890019,15728940 }, - { -21972360,-11771379,-951059,-4418840,14704840,2695116,903376,-10428139,12885167,8311031 }, - { -17516482,5352194,10384213,-13811658,7506451,13453191,26423267,4384730,1888765,-5435404 }, - }, - { - { -25817338,-3107312,-13494599,-3182506,30896459,-13921729,-32251644,-12707869,-19464434,-3340243 }, - { -23607977,-2665774,-526091,4651136,5765089,4618330,6092245,14845197,17151279,-9854116 }, - { -24830458,-12733720,-15165978,10367250,-29530908,-265356,22825805,-7087279,-16866484,16176525 }, - }, - { - { -23583256,6564961,20063689,3798228,-4740178,7359225,2006182,-10363426,-28746253,-10197509 }, - { -10626600,-4486402,-13320562,-5125317,3432136,-6393229,23632037,-1940610,32808310,1099883 }, - { 15030977,5768825,-27451236,-2887299,-6427378,-15361371,-15277896,-6809350,2051441,-15225865 }, - }, - { - { -3362323,-7239372,7517890,9824992,23555850,295369,5148398,-14154188,-22686354,16633660 }, - { 4577086,-16752288,13249841,-15304328,19958763,-14537274,18559670,-10759549,8402478,-9864273 }, - { -28406330,-1051581,-26790155,-907698,-17212414,-11030789,9453451,-14980072,17983010,9967138 }, - }, - { - { -25762494,6524722,26585488,9969270,24709298,1220360,-1677990,7806337,17507396,3651560 }, - { -10420457,-4118111,14584639,15971087,-15768321,8861010,26556809,-5574557,-18553322,-11357135 }, - { 2839101,14284142,4029895,3472686,14402957,12689363,-26642121,8459447,-5605463,-7621941 }, - }, - { - { -4839289,-3535444,9744961,2871048,25113978,3187018,-25110813,-849066,17258084,-7977739 }, - { 18164541,-10595176,-17154882,-1542417,19237078,-9745295,23357533,-15217008,26908270,12150756 }, - { -30264870,-7647865,5112249,-7036672,-1499807,-6974257,43168,-5537701,-32302074,16215819 }, - }, -}, -{ - { - { -6898905,9824394,-12304779,-4401089,-31397141,-6276835,32574489,12532905,-7503072,-8675347 }, - { -27343522,-16515468,-27151524,-10722951,946346,16291093,254968,7168080,21676107,-1943028 }, - { 21260961,-8424752,-16831886,-11920822,-23677961,3968121,-3651949,-6215466,-3556191,-7913075 }, - }, - { - { 16544754,13250366,-16804428,15546242,-4583003,12757258,-2462308,-8680336,-18907032,-9662799 }, - { -2415239,-15577728,18312303,4964443,-15272530,-12653564,26820651,16690659,25459437,-4564609 }, - { -25144690,11425020,28423002,-11020557,-6144921,-15826224,9142795,-2391602,-6432418,-1644817 }, - }, - { - { -23104652,6253476,16964147,-3768872,-25113972,-12296437,-27457225,-16344658,6335692,7249989 }, - { -30333227,13979675,7503222,-12368314,-11956721,-4621693,-30272269,2682242,25993170,-12478523 }, - { 4364628,5930691,32304656,-10044554,-8054781,15091131,22857016,-10598955,31820368,15075278 }, - }, - { - { 31879134,-8918693,17258761,90626,-8041836,-4917709,24162788,-9650886,-17970238,12833045 }, - { 19073683,14851414,-24403169,-11860168,7625278,11091125,-19619190,2074449,-9413939,14905377 }, - { 24483667,-11935567,-2518866,-11547418,-1553130,15355506,-25282080,9253129,27628530,-7555480 }, - }, - { - { 17597607,8340603,19355617,552187,26198470,-3176583,4593324,-9157582,-14110875,15297016 }, - { 510886,14337390,-31785257,16638632,6328095,2713355,-20217417,-11864220,8683221,2921426 }, - { 18606791,11874196,27155355,-5281482,-24031742,6265446,-25178240,-1278924,4674690,13890525 }, - }, - { - { 13609624,13069022,-27372361,-13055908,24360586,9592974,14977157,9835105,4389687,288396 }, - { 9922506,-519394,13613107,5883594,-18758345,-434263,-12304062,8317628,23388070,16052080 }, - { 12720016,11937594,-31970060,-5028689,26900120,8561328,-20155687,-11632979,-14754271,-10812892 }, - }, - { - { 15961858,14150409,26716931,-665832,-22794328,13603569,11829573,7467844,-28822128,929275 }, - { 11038231,-11582396,-27310482,-7316562,-10498527,-16307831,-23479533,-9371869,-21393143,2465074 }, - { 20017163,-4323226,27915242,1529148,12396362,15675764,13817261,-9658066,2463391,-4622140 }, - }, - { - { -16358878,-12663911,-12065183,4996454,-1256422,1073572,9583558,12851107,4003896,12673717 }, - { -1731589,-15155870,-3262930,16143082,19294135,13385325,14741514,-9103726,7903886,2348101 }, - { 24536016,-16515207,12715592,-3862155,1511293,10047386,-3842346,-7129159,-28377538,10048127 }, - }, -}, -{ - { - { -12622226,-6204820,30718825,2591312,-10617028,12192840,18873298,-7297090,-32297756,15221632 }, - { -26478122,-11103864,11546244,-1852483,9180880,7656409,-21343950,2095755,29769758,6593415 }, - { -31994208,-2907461,4176912,3264766,12538965,-868111,26312345,-6118678,30958054,8292160 }, - }, - { - { 31429822,-13959116,29173532,15632448,12174511,-2760094,32808831,3977186,26143136,-3148876 }, - { 22648901,1402143,-22799984,13746059,7936347,365344,-8668633,-1674433,-3758243,-2304625 }, - { -15491917,8012313,-2514730,-12702462,-23965846,-10254029,-1612713,-1535569,-16664475,8194478 }, - }, - { - { 27338066,-7507420,-7414224,10140405,-19026427,-6589889,27277191,8855376,28572286,3005164 }, - { 26287124,4821776,25476601,-4145903,-3764513,-15788984,-18008582,1182479,-26094821,-13079595 }, - { -7171154,3178080,23970071,6201893,-17195577,-4489192,-21876275,-13982627,32208683,-1198248 }, - }, - { - { -16657702,2817643,-10286362,14811298,6024667,13349505,-27315504,-10497842,-27672585,-11539858 }, - { 15941029,-9405932,-21367050,8062055,31876073,-238629,-15278393,-1444429,15397331,-4130193 }, - { 8934485,-13485467,-23286397,-13423241,-32446090,14047986,31170398,-1441021,-27505566,15087184 }, - }, - { - { -18357243,-2156491,24524913,-16677868,15520427,-6360776,-15502406,11461896,16788528,-5868942 }, - { -1947386,16013773,21750665,3714552,-17401782,-16055433,-3770287,-10323320,31322514,-11615635 }, - { 21426655,-5650218,-13648287,-5347537,-28812189,-4920970,-18275391,-14621414,13040862,-12112948 }, - }, - { - { 11293895,12478086,-27136401,15083750,-29307421,14748872,14555558,-13417103,1613711,4896935 }, - { -25894883,15323294,-8489791,-8057900,25967126,-13425460,2825960,-4897045,-23971776,-11267415 }, - { -15924766,-5229880,-17443532,6410664,3622847,10243618,20615400,12405433,-23753030,-8436416 }, - }, - { - { -7091295,12556208,-20191352,9025187,-17072479,4333801,4378436,2432030,23097949,-566018 }, - { 4565804,-16025654,20084412,-7842817,1724999,189254,24767264,10103221,-18512313,2424778 }, - { 366633,-11976806,8173090,-6890119,30788634,5745705,-7168678,1344109,-3642553,12412659 }, - }, - { - { -24001791,7690286,14929416,-168257,-32210835,-13412986,24162697,-15326504,-3141501,11179385 }, - { 18289522,-14724954,8056945,16430056,-21729724,7842514,-6001441,-1486897,-18684645,-11443503 }, - { 476239,6601091,-6152790,-9723375,17503545,-4863900,27672959,13403813,11052904,5219329 }, - }, -}, -{ - { - { 20678546,-8375738,-32671898,8849123,-5009758,14574752,31186971,-3973730,9014762,-8579056 }, - { -13644050,-10350239,-15962508,5075808,-1514661,-11534600,-33102500,9160280,8473550,-3256838 }, - { 24900749,14435722,17209120,-15292541,-22592275,9878983,-7689309,-16335821,-24568481,11788948 }, - }, - { - { -3118155,-11395194,-13802089,14797441,9652448,-6845904,-20037437,10410733,-24568470,-1458691 }, - { -15659161,16736706,-22467150,10215878,-9097177,7563911,11871841,-12505194,-18513325,8464118 }, - { -23400612,8348507,-14585951,-861714,-3950205,-6373419,14325289,8628612,33313881,-8370517 }, - }, - { - { -20186973,-4967935,22367356,5271547,-1097117,-4788838,-24805667,-10236854,-8940735,-5818269 }, - { -6948785,-1795212,-32625683,-16021179,32635414,-7374245,15989197,-12838188,28358192,-4253904 }, - { -23561781,-2799059,-32351682,-1661963,-9147719,10429267,-16637684,4072016,-5351664,5596589 }, - }, - { - { -28236598,-3390048,12312896,6213178,3117142,16078565,29266239,2557221,1768301,15373193 }, - { -7243358,-3246960,-4593467,-7553353,-127927,-912245,-1090902,-4504991,-24660491,3442910 }, - { -30210571,5124043,14181784,8197961,18964734,-11939093,22597931,7176455,-18585478,13365930 }, - }, - { - { -7877390,-1499958,8324673,4690079,6261860,890446,24538107,-8570186,-9689599,-3031667 }, - { 25008904,-10771599,-4305031,-9638010,16265036,15721635,683793,-11823784,15723479,-15163481 }, - { -9660625,12374379,-27006999,-7026148,-7724114,-12314514,11879682,5400171,519526,-1235876 }, - }, - { - { 22258397,-16332233,-7869817,14613016,-22520255,-2950923,-20353881,7315967,16648397,7605640 }, - { -8081308,-8464597,-8223311,9719710,19259459,-15348212,23994942,-5281555,-9468848,4763278 }, - { -21699244,9220969,-15730624,1084137,-25476107,-2852390,31088447,-7764523,-11356529,728112 }, - }, - { - { 26047220,-11751471,-6900323,-16521798,24092068,9158119,-4273545,-12555558,-29365436,-5498272 }, - { 17510331,-322857,5854289,8403524,17133918,-3112612,-28111007,12327945,10750447,10014012 }, - { -10312768,3936952,9156313,-8897683,16498692,-994647,-27481051,-666732,3424691,7540221 }, - }, - { - { 30322361,-6964110,11361005,-4143317,7433304,4989748,-7071422,-16317219,-9244265,15258046 }, - { 13054562,-2779497,19155474,469045,-12482797,4566042,5631406,2711395,1062915,-5136345 }, - { -19240248,-11254599,-29509029,-7499965,-5835763,13005411,-6066489,12194497,32960380,1459310 }, - }, -}, -{ - { - { 19852034,7027924,23669353,10020366,8586503,-6657907,394197,-6101885,18638003,-11174937 }, - { 31395534,15098109,26581030,8030562,-16527914,-5007134,9012486,-7584354,-6643087,-5442636 }, - { -9192165,-2347377,-1997099,4529534,25766844,607986,-13222,9677543,-32294889,-6456008 }, - }, - { - { -2444496,-149937,29348902,8186665,1873760,12489863,-30934579,-7839692,-7852844,-8138429 }, - { -15236356,-15433509,7766470,746860,26346930,-10221762,-27333451,10754588,-9431476,5203576 }, - { 31834314,14135496,-770007,5159118,20917671,-16768096,-7467973,-7337524,31809243,7347066 }, - }, - { - { -9606723,-11874240,20414459,13033986,13716524,-11691881,19797970,-12211255,15192876,-2087490 }, - { -12663563,-2181719,1168162,-3804809,26747877,-14138091,10609330,12694420,33473243,-13382104 }, - { 33184999,11180355,15832085,-11385430,-1633671,225884,15089336,-11023903,-6135662,14480053 }, - }, - { - { 31308717,-5619998,31030840,-1897099,15674547,-6582883,5496208,13685227,27595050,8737275 }, - { -20318852,-15150239,10933843,-16178022,8335352,-7546022,-31008351,-12610604,26498114,66511 }, - { 22644454,-8761729,-16671776,4884562,-3105614,-13559366,30540766,-4286747,-13327787,-7515095 }, - }, - { - { -28017847,9834845,18617207,-2681312,-3401956,-13307506,8205540,13585437,-17127465,15115439 }, - { 23711543,-672915,31206561,-8362711,6164647,-9709987,-33535882,-1426096,8236921,16492939 }, - { -23910559,-13515526,-26299483,-4503841,25005590,-7687270,19574902,10071562,6708380,-6222424 }, - }, - { - { 2101391,-4930054,19702731,2367575,-15427167,1047675,5301017,9328700,29955601,-11678310 }, - { 3096359,9271816,-21620864,-15521844,-14847996,-7592937,-25892142,-12635595,-9917575,6216608 }, - { -32615849,338663,-25195611,2510422,-29213566,-13820213,24822830,-6146567,-26767480,7525079 }, - }, - { - { -23066649,-13985623,16133487,-7896178,-3389565,778788,-910336,-2782495,-19386633,11994101 }, - { 21691500,-13624626,-641331,-14367021,3285881,-3483596,-25064666,9718258,-7477437,13381418 }, - { 18445390,-4202236,14979846,11622458,-1727110,-3582980,23111648,-6375247,28535282,15779576 }, - }, - { - { 30098053,3089662,-9234387,16662135,-21306940,11308411,-14068454,12021730,9955285,-16303356 }, - { 9734894,-14576830,-7473633,-9138735,2060392,11313496,-18426029,9924399,20194861,13380996 }, - { -26378102,-7965207,-22167821,15789297,-18055342,-6168792,-1984914,15707771,26342023,10146099 }, - }, -}, -{ - { - { -26016874,-219943,21339191,-41388,19745256,-2878700,-29637280,2227040,21612326,-545728 }, - { -13077387,1184228,23562814,-5970442,-20351244,-6348714,25764461,12243797,-20856566,11649658 }, - { -10031494,11262626,27384172,2271902,26947504,-15997771,39944,6114064,33514190,2333242 }, - }, - { - { -21433588,-12421821,8119782,7219913,-21830522,-9016134,-6679750,-12670638,24350578,-13450001 }, - { -4116307,-11271533,-23886186,4843615,-30088339,690623,-31536088,-10406836,8317860,12352766 }, - { 18200138,-14475911,-33087759,-2696619,-23702521,-9102511,-23552096,-2287550,20712163,6719373 }, - }, - { - { 26656208,6075253,-7858556,1886072,-28344043,4262326,11117530,-3763210,26224235,-3297458 }, - { -17168938,-14854097,-3395676,-16369877,-19954045,14050420,21728352,9493610,18620611,-16428628 }, - { -13323321,13325349,11432106,5964811,18609221,6062965,-5269471,-9725556,-30701573,-16479657 }, - }, - { - { -23860538,-11233159,26961357,1640861,-32413112,-16737940,12248509,-5240639,13735342,1934062 }, - { 25089769,6742589,17081145,-13406266,21909293,-16067981,-15136294,-3765346,-21277997,5473616 }, - { 31883677,-7961101,1083432,-11572403,22828471,13290673,-7125085,12469656,29111212,-5451014 }, - }, - { - { 24244947,-15050407,-26262976,2791540,-14997599,16666678,24367466,6388839,-10295587,452383 }, - { -25640782,-3417841,5217916,16224624,19987036,-4082269,-24236251,-5915248,15766062,8407814 }, - { -20406999,13990231,15495425,16395525,5377168,15166495,-8917023,-4388953,-8067909,2276718 }, - }, - { - { 30157918,12924066,-17712050,9245753,19895028,3368142,-23827587,5096219,22740376,-7303417 }, - { 2041139,-14256350,7783687,13876377,-25946985,-13352459,24051124,13742383,-15637599,13295222 }, - { 33338237,-8505733,12532113,7977527,9106186,-1715251,-17720195,-4612972,-4451357,-14669444 }, - }, - { - { -20045281,5454097,-14346548,6447146,28862071,1883651,-2469266,-4141880,7770569,9620597 }, - { 23208068,7979712,33071466,8149229,1758231,-10834995,30945528,-1694323,-33502340,-14767970 }, - { 1439958,-16270480,-1079989,-793782,4625402,10647766,-5043801,1220118,30494170,-11440799 }, - }, - { - { -5037580,-13028295,-2970559,-3061767,15640974,-6701666,-26739026,926050,-1684339,-13333647 }, - { 13908495,-3549272,30919928,-6273825,-21521863,7989039,9021034,9078865,3353509,4033511 }, - { -29663431,-15113610,32259991,-344482,24295849,-12912123,23161163,8839127,27485041,7356032 }, - }, -}, -{ - { - { 9661027,705443,11980065,-5370154,-1628543,14661173,-6346142,2625015,28431036,-16771834 }, - { -23839233,-8311415,-25945511,7480958,-17681669,-8354183,-22545972,14150565,15970762,4099461 }, - { 29262576,16756590,26350592,-8793563,8529671,-11208050,13617293,-9937143,11465739,8317062 }, - }, - { - { -25493081,-6962928,32500200,-9419051,-23038724,-2302222,14898637,3848455,20969334,-5157516 }, - { -20384450,-14347713,-18336405,13884722,-33039454,2842114,-21610826,-3649888,11177095,14989547 }, - { -24496721,-11716016,16959896,2278463,12066309,10137771,13515641,2581286,-28487508,9930240 }, - }, - { - { -17751622,-2097826,16544300,-13009300,-15914807,-14949081,18345767,-13403753,16291481,-5314038 }, - { -33229194,2553288,32678213,9875984,8534129,6889387,-9676774,6957617,4368891,9788741 }, - { 16660756,7281060,-10830758,12911820,20108584,-8101676,-21722536,-8613148,16250552,-11111103 }, - }, - { - { -19765507,2390526,-16551031,14161980,1905286,6414907,4689584,10604807,-30190403,4782747 }, - { -1354539,14736941,-7367442,-13292886,7710542,-14155590,-9981571,4383045,22546403,437323 }, - { 31665577,-12180464,-16186830,1491339,-18368625,3294682,27343084,2786261,-30633590,-14097016 }, - }, - { - { -14467279,-683715,-33374107,7448552,19294360,14334329,-19690631,2355319,-19284671,-6114373 }, - { 15121312,-15796162,6377020,-6031361,-10798111,-12957845,18952177,15496498,-29380133,11754228 }, - { -2637277,-13483075,8488727,-14303896,12728761,-1622493,7141596,11724556,22761615,-10134141 }, - }, - { - { 16918416,11729663,-18083579,3022987,-31015732,-13339659,-28741185,-12227393,32851222,11717399 }, - { 11166634,7338049,-6722523,4531520,-29468672,-7302055,31474879,3483633,-1193175,-4030831 }, - { -185635,9921305,31456609,-13536438,-12013818,13348923,33142652,6546660,-19985279,-3948376 }, - }, - { - { -32460596,11266712,-11197107,-7899103,31703694,3855903,-8537131,-12833048,-30772034,-15486313 }, - { -18006477,12709068,3991746,-6479188,-21491523,-10550425,-31135347,-16049879,10928917,3011958 }, - { -6957757,-15594337,31696059,334240,29576716,14796075,-30831056,-12805180,18008031,10258577 }, - }, - { - { -22448644,15655569,7018479,-4410003,-30314266,-1201591,-1853465,1367120,25127874,6671743 }, - { 29701166,-14373934,-10878120,9279288,-17568,13127210,21382910,11042292,25838796,4642684 }, - { -20430234,14955537,-24126347,8124619,-5369288,-5990470,30468147,-13900640,18423289,4177476 }, - }, -}, diff --git a/native/ed25519/base2.h b/native/ed25519/base2.h deleted file mode 100644 index 8c538440f..000000000 --- a/native/ed25519/base2.h +++ /dev/null @@ -1,40 +0,0 @@ - { - { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, - { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 }, - { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 }, - }, - { - { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 }, - { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 }, - { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 }, - }, - { - { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 }, - { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 }, - { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 }, - }, - { - { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 }, - { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 }, - { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 }, - }, - { - { -22518993,-6692182,14201702,-8745502,-23510406,8844726,18474211,-1361450,-13062696,13821877 }, - { -6455177,-7839871,3374702,-4740862,-27098617,-10571707,31655028,-7212327,18853322,-14220951 }, - { 4566830,-12963868,-28974889,-12240689,-7602672,-2830569,-8514358,-10431137,2207753,-3209784 }, - }, - { - { -25154831,-4185821,29681144,7868801,-6854661,-9423865,-12437364,-663000,-31111463,-16132436 }, - { 25576264,-2703214,7349804,-11814844,16472782,9300885,3844789,15725684,171356,6466918 }, - { 23103977,13316479,9739013,-16149481,817875,-15038942,8965339,-14088058,-30714912,16193877 }, - }, - { - { -33521811,3180713,-2394130,14003687,-16903474,-16270840,17238398,4729455,-18074513,9256800 }, - { -25182317,-4174131,32336398,5036987,-21236817,11360617,22616405,9761698,-19827198,630305 }, - { -13720693,2639453,-24237460,-7406481,9494427,-5774029,-6554551,-15960994,-2449256,-14291300 }, - }, - { - { -3151181,-5046075,9282714,6866145,-31907062,-863023,-18940575,15033784,25105118,-7894876 }, - { -24326370,15950226,-31801215,-14592823,-11662737,-5090925,1573892,-2625887,2198790,-15804619 }, - { -3099351,10324967,-2241613,7453183,-5446979,-2735503,-13812022,-16236442,-32461234,-12290683 }, - }, diff --git a/native/ed25519/d.h b/native/ed25519/d.h deleted file mode 100644 index e25f57835..000000000 --- a/native/ed25519/d.h +++ /dev/null @@ -1 +0,0 @@ --10913610,13857413,-15372611,6949391,114729,-8787816,-6275908,-3247719,-18696448,-12055116 diff --git a/native/ed25519/d2.h b/native/ed25519/d2.h deleted file mode 100644 index 01aaec751..000000000 --- a/native/ed25519/d2.h +++ /dev/null @@ -1 +0,0 @@ --21827239,-5839606,-30745221,13898782,229458,15978800,-12551817,-6495438,29715968,9444199 diff --git a/native/ed25519/fe.h b/native/ed25519/fe.h deleted file mode 100644 index 60c308ba4..000000000 --- a/native/ed25519/fe.h +++ /dev/null @@ -1,56 +0,0 @@ -#ifndef FE_H -#define FE_H - -#include "crypto_int32.h" - -typedef crypto_int32 fe[10]; - -/* -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]. -Bounds on each t[i] vary depending on context. -*/ - -#define fe_frombytes crypto_sign_ed25519_ref10_fe_frombytes -#define fe_tobytes crypto_sign_ed25519_ref10_fe_tobytes -#define fe_copy crypto_sign_ed25519_ref10_fe_copy -#define fe_isnonzero crypto_sign_ed25519_ref10_fe_isnonzero -#define fe_isnegative crypto_sign_ed25519_ref10_fe_isnegative -#define fe_0 crypto_sign_ed25519_ref10_fe_0 -#define fe_1 crypto_sign_ed25519_ref10_fe_1 -#define fe_cswap crypto_sign_ed25519_ref10_fe_cswap -#define fe_cmov crypto_sign_ed25519_ref10_fe_cmov -#define fe_add crypto_sign_ed25519_ref10_fe_add -#define fe_sub crypto_sign_ed25519_ref10_fe_sub -#define fe_neg crypto_sign_ed25519_ref10_fe_neg -#define fe_mul crypto_sign_ed25519_ref10_fe_mul -#define fe_sq crypto_sign_ed25519_ref10_fe_sq -#define fe_sq2 crypto_sign_ed25519_ref10_fe_sq2 -#define fe_mul121666 crypto_sign_ed25519_ref10_fe_mul121666 -#define fe_invert crypto_sign_ed25519_ref10_fe_invert -#define fe_pow22523 crypto_sign_ed25519_ref10_fe_pow22523 - -extern void fe_frombytes(fe,const unsigned char *); -extern void fe_tobytes(unsigned char *,const fe); - -extern void fe_copy(fe,const fe); -extern int fe_isnonzero(const fe); -extern int fe_isnegative(const fe); -extern void fe_0(fe); -extern void fe_1(fe); -extern void fe_cswap(fe,fe,unsigned int); -extern void fe_cmov(fe,const fe,unsigned int); - -extern void fe_add(fe,const fe,const fe); -extern void fe_sub(fe,const fe,const fe); -extern void fe_neg(fe,const fe); -extern void fe_mul(fe,const fe,const fe); -extern void fe_sq(fe,const fe); -extern void fe_sq2(fe,const fe); -extern void fe_mul121666(fe,const fe); -extern void fe_invert(fe,const fe); -extern void fe_pow22523(fe,const fe); - -#endif diff --git a/native/ed25519/fe_0.c b/native/ed25519/fe_0.c deleted file mode 100644 index ec879d733..000000000 --- a/native/ed25519/fe_0.c +++ /dev/null @@ -1,19 +0,0 @@ -#include "fe.h" - -/* -h = 0 -*/ - -void fe_0(fe h) -{ - h[0] = 0; - h[1] = 0; - h[2] = 0; - h[3] = 0; - h[4] = 0; - h[5] = 0; - h[6] = 0; - h[7] = 0; - h[8] = 0; - h[9] = 0; -} diff --git a/native/ed25519/fe_1.c b/native/ed25519/fe_1.c deleted file mode 100644 index 8cf778484..000000000 --- a/native/ed25519/fe_1.c +++ /dev/null @@ -1,19 +0,0 @@ -#include "fe.h" - -/* -h = 1 -*/ - -void fe_1(fe h) -{ - h[0] = 1; - h[1] = 0; - h[2] = 0; - h[3] = 0; - h[4] = 0; - h[5] = 0; - h[6] = 0; - h[7] = 0; - h[8] = 0; - h[9] = 0; -} diff --git a/native/ed25519/fe_add.c b/native/ed25519/fe_add.c deleted file mode 100644 index e6a81da20..000000000 --- a/native/ed25519/fe_add.c +++ /dev/null @@ -1,57 +0,0 @@ -#include "fe.h" - -/* -h = f + g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -void fe_add(fe h,const fe f,const fe g) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 g0 = g[0]; - crypto_int32 g1 = g[1]; - crypto_int32 g2 = g[2]; - crypto_int32 g3 = g[3]; - crypto_int32 g4 = g[4]; - crypto_int32 g5 = g[5]; - crypto_int32 g6 = g[6]; - crypto_int32 g7 = g[7]; - crypto_int32 g8 = g[8]; - crypto_int32 g9 = g[9]; - crypto_int32 h0 = f0 + g0; - crypto_int32 h1 = f1 + g1; - crypto_int32 h2 = f2 + g2; - crypto_int32 h3 = f3 + g3; - crypto_int32 h4 = f4 + g4; - crypto_int32 h5 = f5 + g5; - crypto_int32 h6 = f6 + g6; - crypto_int32 h7 = f7 + g7; - crypto_int32 h8 = f8 + g8; - crypto_int32 h9 = f9 + g9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/native/ed25519/fe_cmov.c b/native/ed25519/fe_cmov.c deleted file mode 100644 index 8ca584fb1..000000000 --- a/native/ed25519/fe_cmov.c +++ /dev/null @@ -1,63 +0,0 @@ -#include "fe.h" - -/* -Replace (f,g) with (g,g) if b == 1; -replace (f,g) with (f,g) if b == 0. - -Preconditions: b in {0,1}. -*/ - -void fe_cmov(fe f,const fe g,unsigned int b) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 g0 = g[0]; - crypto_int32 g1 = g[1]; - crypto_int32 g2 = g[2]; - crypto_int32 g3 = g[3]; - crypto_int32 g4 = g[4]; - crypto_int32 g5 = g[5]; - crypto_int32 g6 = g[6]; - crypto_int32 g7 = g[7]; - crypto_int32 g8 = g[8]; - crypto_int32 g9 = g[9]; - crypto_int32 x0 = f0 ^ g0; - crypto_int32 x1 = f1 ^ g1; - crypto_int32 x2 = f2 ^ g2; - crypto_int32 x3 = f3 ^ g3; - crypto_int32 x4 = f4 ^ g4; - crypto_int32 x5 = f5 ^ g5; - crypto_int32 x6 = f6 ^ g6; - crypto_int32 x7 = f7 ^ g7; - crypto_int32 x8 = f8 ^ g8; - crypto_int32 x9 = f9 ^ g9; - b = -b; - x0 &= b; - x1 &= b; - x2 &= b; - x3 &= b; - x4 &= b; - x5 &= b; - x6 &= b; - x7 &= b; - x8 &= b; - x9 &= b; - f[0] = f0 ^ x0; - f[1] = f1 ^ x1; - f[2] = f2 ^ x2; - f[3] = f3 ^ x3; - f[4] = f4 ^ x4; - f[5] = f5 ^ x5; - f[6] = f6 ^ x6; - f[7] = f7 ^ x7; - f[8] = f8 ^ x8; - f[9] = f9 ^ x9; -} diff --git a/native/ed25519/fe_copy.c b/native/ed25519/fe_copy.c deleted file mode 100644 index 9c5bf865a..000000000 --- a/native/ed25519/fe_copy.c +++ /dev/null @@ -1,29 +0,0 @@ -#include "fe.h" - -/* -h = f -*/ - -void fe_copy(fe h,const fe f) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - h[0] = f0; - h[1] = f1; - h[2] = f2; - h[3] = f3; - h[4] = f4; - h[5] = f5; - h[6] = f6; - h[7] = f7; - h[8] = f8; - h[9] = f9; -} diff --git a/native/ed25519/fe_frombytes.c b/native/ed25519/fe_frombytes.c deleted file mode 100644 index 5c1791748..000000000 --- a/native/ed25519/fe_frombytes.c +++ /dev/null @@ -1,73 +0,0 @@ -#include "fe.h" -#include "crypto_int64.h" -#include "crypto_uint64.h" - -static crypto_uint64 load_3(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - return result; -} - -static crypto_uint64 load_4(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - result |= ((crypto_uint64) in[3]) << 24; - return result; -} - -/* -Ignores top bit of h. -*/ - -void fe_frombytes(fe h,const unsigned char *s) -{ - crypto_int64 h0 = load_4(s); - crypto_int64 h1 = load_3(s + 4) << 6; - crypto_int64 h2 = load_3(s + 7) << 5; - crypto_int64 h3 = load_3(s + 10) << 3; - crypto_int64 h4 = load_3(s + 13) << 2; - crypto_int64 h5 = load_4(s + 16); - crypto_int64 h6 = load_3(s + 20) << 7; - crypto_int64 h7 = load_3(s + 23) << 5; - crypto_int64 h8 = load_3(s + 26) << 4; - crypto_int64 h9 = (load_3(s + 29) & 8388607) << 2; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - - carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/native/ed25519/fe_invert.c b/native/ed25519/fe_invert.c deleted file mode 100644 index bcfdb8ff8..000000000 --- a/native/ed25519/fe_invert.c +++ /dev/null @@ -1,14 +0,0 @@ -#include "fe.h" - -void fe_invert(fe out,const fe z) -{ - fe t0; - fe t1; - fe t2; - fe t3; - int i; - -#include "pow225521.h" - - return; -} diff --git a/native/ed25519/fe_isnegative.c b/native/ed25519/fe_isnegative.c deleted file mode 100644 index 3b2c8b8d5..000000000 --- a/native/ed25519/fe_isnegative.c +++ /dev/null @@ -1,16 +0,0 @@ -#include "fe.h" - -/* -return 1 if f is in {1,3,5,...,q-2} -return 0 if f is in {0,2,4,...,q-1} - -Preconditions: - |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -int fe_isnegative(const fe f) -{ - unsigned char s[32]; - fe_tobytes(s,f); - return s[0] & 1; -} diff --git a/native/ed25519/fe_isnonzero.c b/native/ed25519/fe_isnonzero.c deleted file mode 100644 index 47568001c..000000000 --- a/native/ed25519/fe_isnonzero.c +++ /dev/null @@ -1,19 +0,0 @@ -#include "fe.h" -#include "crypto_verify_32.h" - -/* -return 1 if f == 0 -return 0 if f != 0 - -Preconditions: - |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -static const unsigned char zero[32]; - -int fe_isnonzero(const fe f) -{ - unsigned char s[32]; - fe_tobytes(s,f); - return crypto_verify_32(s,zero); -} diff --git a/native/ed25519/fe_mul.c b/native/ed25519/fe_mul.c deleted file mode 100644 index 26ca8b368..000000000 --- a/native/ed25519/fe_mul.c +++ /dev/null @@ -1,253 +0,0 @@ -#include "fe.h" -#include "crypto_int64.h" - -/* -h = f * g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -Notes on implementation strategy: - -Using schoolbook multiplication. -Karatsuba would save a little in some cost models. - -Most multiplications by 2 and 19 are 32-bit precomputations; -cheaper than 64-bit postcomputations. - -There is one remaining multiplication by 19 in the carry chain; -one *19 precomputation can be merged into this, -but the resulting data flow is considerably less clean. - -There are 12 carries below. -10 of them are 2-way parallelizable and vectorizable. -Can get away with 11 carries, but then data flow is much deeper. - -With tighter constraints on inputs can squeeze carries into int32. -*/ - -void fe_mul(fe h,const fe f,const fe g) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 g0 = g[0]; - crypto_int32 g1 = g[1]; - crypto_int32 g2 = g[2]; - crypto_int32 g3 = g[3]; - crypto_int32 g4 = g[4]; - crypto_int32 g5 = g[5]; - crypto_int32 g6 = g[6]; - crypto_int32 g7 = g[7]; - crypto_int32 g8 = g[8]; - crypto_int32 g9 = g[9]; - crypto_int32 g1_19 = 19 * g1; /* 1.959375*2^29 */ - crypto_int32 g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ - crypto_int32 g3_19 = 19 * g3; - crypto_int32 g4_19 = 19 * g4; - crypto_int32 g5_19 = 19 * g5; - crypto_int32 g6_19 = 19 * g6; - crypto_int32 g7_19 = 19 * g7; - crypto_int32 g8_19 = 19 * g8; - crypto_int32 g9_19 = 19 * g9; - crypto_int32 f1_2 = 2 * f1; - crypto_int32 f3_2 = 2 * f3; - crypto_int32 f5_2 = 2 * f5; - crypto_int32 f7_2 = 2 * f7; - crypto_int32 f9_2 = 2 * f9; - crypto_int64 f0g0 = f0 * (crypto_int64) g0; - crypto_int64 f0g1 = f0 * (crypto_int64) g1; - crypto_int64 f0g2 = f0 * (crypto_int64) g2; - crypto_int64 f0g3 = f0 * (crypto_int64) g3; - crypto_int64 f0g4 = f0 * (crypto_int64) g4; - crypto_int64 f0g5 = f0 * (crypto_int64) g5; - crypto_int64 f0g6 = f0 * (crypto_int64) g6; - crypto_int64 f0g7 = f0 * (crypto_int64) g7; - crypto_int64 f0g8 = f0 * (crypto_int64) g8; - crypto_int64 f0g9 = f0 * (crypto_int64) g9; - crypto_int64 f1g0 = f1 * (crypto_int64) g0; - crypto_int64 f1g1_2 = f1_2 * (crypto_int64) g1; - crypto_int64 f1g2 = f1 * (crypto_int64) g2; - crypto_int64 f1g3_2 = f1_2 * (crypto_int64) g3; - crypto_int64 f1g4 = f1 * (crypto_int64) g4; - crypto_int64 f1g5_2 = f1_2 * (crypto_int64) g5; - crypto_int64 f1g6 = f1 * (crypto_int64) g6; - crypto_int64 f1g7_2 = f1_2 * (crypto_int64) g7; - crypto_int64 f1g8 = f1 * (crypto_int64) g8; - crypto_int64 f1g9_38 = f1_2 * (crypto_int64) g9_19; - crypto_int64 f2g0 = f2 * (crypto_int64) g0; - crypto_int64 f2g1 = f2 * (crypto_int64) g1; - crypto_int64 f2g2 = f2 * (crypto_int64) g2; - crypto_int64 f2g3 = f2 * (crypto_int64) g3; - crypto_int64 f2g4 = f2 * (crypto_int64) g4; - crypto_int64 f2g5 = f2 * (crypto_int64) g5; - crypto_int64 f2g6 = f2 * (crypto_int64) g6; - crypto_int64 f2g7 = f2 * (crypto_int64) g7; - crypto_int64 f2g8_19 = f2 * (crypto_int64) g8_19; - crypto_int64 f2g9_19 = f2 * (crypto_int64) g9_19; - crypto_int64 f3g0 = f3 * (crypto_int64) g0; - crypto_int64 f3g1_2 = f3_2 * (crypto_int64) g1; - crypto_int64 f3g2 = f3 * (crypto_int64) g2; - crypto_int64 f3g3_2 = f3_2 * (crypto_int64) g3; - crypto_int64 f3g4 = f3 * (crypto_int64) g4; - crypto_int64 f3g5_2 = f3_2 * (crypto_int64) g5; - crypto_int64 f3g6 = f3 * (crypto_int64) g6; - crypto_int64 f3g7_38 = f3_2 * (crypto_int64) g7_19; - crypto_int64 f3g8_19 = f3 * (crypto_int64) g8_19; - crypto_int64 f3g9_38 = f3_2 * (crypto_int64) g9_19; - crypto_int64 f4g0 = f4 * (crypto_int64) g0; - crypto_int64 f4g1 = f4 * (crypto_int64) g1; - crypto_int64 f4g2 = f4 * (crypto_int64) g2; - crypto_int64 f4g3 = f4 * (crypto_int64) g3; - crypto_int64 f4g4 = f4 * (crypto_int64) g4; - crypto_int64 f4g5 = f4 * (crypto_int64) g5; - crypto_int64 f4g6_19 = f4 * (crypto_int64) g6_19; - crypto_int64 f4g7_19 = f4 * (crypto_int64) g7_19; - crypto_int64 f4g8_19 = f4 * (crypto_int64) g8_19; - crypto_int64 f4g9_19 = f4 * (crypto_int64) g9_19; - crypto_int64 f5g0 = f5 * (crypto_int64) g0; - crypto_int64 f5g1_2 = f5_2 * (crypto_int64) g1; - crypto_int64 f5g2 = f5 * (crypto_int64) g2; - crypto_int64 f5g3_2 = f5_2 * (crypto_int64) g3; - crypto_int64 f5g4 = f5 * (crypto_int64) g4; - crypto_int64 f5g5_38 = f5_2 * (crypto_int64) g5_19; - crypto_int64 f5g6_19 = f5 * (crypto_int64) g6_19; - crypto_int64 f5g7_38 = f5_2 * (crypto_int64) g7_19; - crypto_int64 f5g8_19 = f5 * (crypto_int64) g8_19; - crypto_int64 f5g9_38 = f5_2 * (crypto_int64) g9_19; - crypto_int64 f6g0 = f6 * (crypto_int64) g0; - crypto_int64 f6g1 = f6 * (crypto_int64) g1; - crypto_int64 f6g2 = f6 * (crypto_int64) g2; - crypto_int64 f6g3 = f6 * (crypto_int64) g3; - crypto_int64 f6g4_19 = f6 * (crypto_int64) g4_19; - crypto_int64 f6g5_19 = f6 * (crypto_int64) g5_19; - crypto_int64 f6g6_19 = f6 * (crypto_int64) g6_19; - crypto_int64 f6g7_19 = f6 * (crypto_int64) g7_19; - crypto_int64 f6g8_19 = f6 * (crypto_int64) g8_19; - crypto_int64 f6g9_19 = f6 * (crypto_int64) g9_19; - crypto_int64 f7g0 = f7 * (crypto_int64) g0; - crypto_int64 f7g1_2 = f7_2 * (crypto_int64) g1; - crypto_int64 f7g2 = f7 * (crypto_int64) g2; - crypto_int64 f7g3_38 = f7_2 * (crypto_int64) g3_19; - crypto_int64 f7g4_19 = f7 * (crypto_int64) g4_19; - crypto_int64 f7g5_38 = f7_2 * (crypto_int64) g5_19; - crypto_int64 f7g6_19 = f7 * (crypto_int64) g6_19; - crypto_int64 f7g7_38 = f7_2 * (crypto_int64) g7_19; - crypto_int64 f7g8_19 = f7 * (crypto_int64) g8_19; - crypto_int64 f7g9_38 = f7_2 * (crypto_int64) g9_19; - crypto_int64 f8g0 = f8 * (crypto_int64) g0; - crypto_int64 f8g1 = f8 * (crypto_int64) g1; - crypto_int64 f8g2_19 = f8 * (crypto_int64) g2_19; - crypto_int64 f8g3_19 = f8 * (crypto_int64) g3_19; - crypto_int64 f8g4_19 = f8 * (crypto_int64) g4_19; - crypto_int64 f8g5_19 = f8 * (crypto_int64) g5_19; - crypto_int64 f8g6_19 = f8 * (crypto_int64) g6_19; - crypto_int64 f8g7_19 = f8 * (crypto_int64) g7_19; - crypto_int64 f8g8_19 = f8 * (crypto_int64) g8_19; - crypto_int64 f8g9_19 = f8 * (crypto_int64) g9_19; - crypto_int64 f9g0 = f9 * (crypto_int64) g0; - crypto_int64 f9g1_38 = f9_2 * (crypto_int64) g1_19; - crypto_int64 f9g2_19 = f9 * (crypto_int64) g2_19; - crypto_int64 f9g3_38 = f9_2 * (crypto_int64) g3_19; - crypto_int64 f9g4_19 = f9 * (crypto_int64) g4_19; - crypto_int64 f9g5_38 = f9_2 * (crypto_int64) g5_19; - crypto_int64 f9g6_19 = f9 * (crypto_int64) g6_19; - crypto_int64 f9g7_38 = f9_2 * (crypto_int64) g7_19; - crypto_int64 f9g8_19 = f9 * (crypto_int64) g8_19; - crypto_int64 f9g9_38 = f9_2 * (crypto_int64) g9_19; - crypto_int64 h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; - crypto_int64 h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; - crypto_int64 h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; - crypto_int64 h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; - crypto_int64 h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; - crypto_int64 h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; - crypto_int64 h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; - crypto_int64 h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; - crypto_int64 h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; - crypto_int64 h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - - /* - |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38)) - i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8 - |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19)) - i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9 - */ - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - /* |h0| <= 2^25 */ - /* |h4| <= 2^25 */ - /* |h1| <= 1.71*2^59 */ - /* |h5| <= 1.71*2^59 */ - - carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - /* |h1| <= 2^24; from now on fits into int32 */ - /* |h5| <= 2^24; from now on fits into int32 */ - /* |h2| <= 1.41*2^60 */ - /* |h6| <= 1.41*2^60 */ - - carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - /* |h2| <= 2^25; from now on fits into int32 unchanged */ - /* |h6| <= 2^25; from now on fits into int32 unchanged */ - /* |h3| <= 1.71*2^59 */ - /* |h7| <= 1.71*2^59 */ - - carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - /* |h3| <= 2^24; from now on fits into int32 unchanged */ - /* |h7| <= 2^24; from now on fits into int32 unchanged */ - /* |h4| <= 1.72*2^34 */ - /* |h8| <= 1.41*2^60 */ - - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - /* |h4| <= 2^25; from now on fits into int32 unchanged */ - /* |h8| <= 2^25; from now on fits into int32 unchanged */ - /* |h5| <= 1.01*2^24 */ - /* |h9| <= 1.71*2^59 */ - - carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - /* |h9| <= 2^24; from now on fits into int32 unchanged */ - /* |h0| <= 1.1*2^39 */ - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - /* |h0| <= 2^25; from now on fits into int32 unchanged */ - /* |h1| <= 1.01*2^24 */ - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/native/ed25519/fe_neg.c b/native/ed25519/fe_neg.c deleted file mode 100644 index 2078ce528..000000000 --- a/native/ed25519/fe_neg.c +++ /dev/null @@ -1,45 +0,0 @@ -#include "fe.h" - -/* -h = -f - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. -*/ - -void fe_neg(fe h,const fe f) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 h0 = -f0; - crypto_int32 h1 = -f1; - crypto_int32 h2 = -f2; - crypto_int32 h3 = -f3; - crypto_int32 h4 = -f4; - crypto_int32 h5 = -f5; - crypto_int32 h6 = -f6; - crypto_int32 h7 = -f7; - crypto_int32 h8 = -f8; - crypto_int32 h9 = -f9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/native/ed25519/fe_pow22523.c b/native/ed25519/fe_pow22523.c deleted file mode 100644 index 56675a590..000000000 --- a/native/ed25519/fe_pow22523.c +++ /dev/null @@ -1,13 +0,0 @@ -#include "fe.h" - -void fe_pow22523(fe out,const fe z) -{ - fe t0; - fe t1; - fe t2; - int i; - -#include "pow22523.h" - - return; -} diff --git a/native/ed25519/fe_sq.c b/native/ed25519/fe_sq.c deleted file mode 100644 index 8dd119841..000000000 --- a/native/ed25519/fe_sq.c +++ /dev/null @@ -1,149 +0,0 @@ -#include "fe.h" -#include "crypto_int64.h" - -/* -h = f * f -Can overlap h with f. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -See fe_mul.c for discussion of implementation strategy. -*/ - -void fe_sq(fe h,const fe f) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 f0_2 = 2 * f0; - crypto_int32 f1_2 = 2 * f1; - crypto_int32 f2_2 = 2 * f2; - crypto_int32 f3_2 = 2 * f3; - crypto_int32 f4_2 = 2 * f4; - crypto_int32 f5_2 = 2 * f5; - crypto_int32 f6_2 = 2 * f6; - crypto_int32 f7_2 = 2 * f7; - crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ - crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ - crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ - crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ - crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ - crypto_int64 f0f0 = f0 * (crypto_int64) f0; - crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; - crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; - crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; - crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; - crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; - crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; - crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; - crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; - crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; - crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; - crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; - crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; - crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; - crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; - crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; - crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; - crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; - crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; - crypto_int64 f2f2 = f2 * (crypto_int64) f2; - crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; - crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; - crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; - crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; - crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; - crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; - crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; - crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; - crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; - crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; - crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; - crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; - crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; - crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; - crypto_int64 f4f4 = f4 * (crypto_int64) f4; - crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; - crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; - crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; - crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; - crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; - crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; - crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; - crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; - crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; - crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; - crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; - crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; - crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; - crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; - crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; - crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; - crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; - crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; - crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; - crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; - crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; - crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; - crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; - crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; - crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; - crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; - crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; - crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; - crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; - crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - - carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - - carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - - carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/native/ed25519/fe_sq2.c b/native/ed25519/fe_sq2.c deleted file mode 100644 index 026ed3aac..000000000 --- a/native/ed25519/fe_sq2.c +++ /dev/null @@ -1,160 +0,0 @@ -#include "fe.h" -#include "crypto_int64.h" - -/* -h = 2 * f * f -Can overlap h with f. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -See fe_mul.c for discussion of implementation strategy. -*/ - -void fe_sq2(fe h,const fe f) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 f0_2 = 2 * f0; - crypto_int32 f1_2 = 2 * f1; - crypto_int32 f2_2 = 2 * f2; - crypto_int32 f3_2 = 2 * f3; - crypto_int32 f4_2 = 2 * f4; - crypto_int32 f5_2 = 2 * f5; - crypto_int32 f6_2 = 2 * f6; - crypto_int32 f7_2 = 2 * f7; - crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ - crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ - crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ - crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ - crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ - crypto_int64 f0f0 = f0 * (crypto_int64) f0; - crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; - crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; - crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; - crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; - crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; - crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; - crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; - crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; - crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; - crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; - crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; - crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; - crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; - crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; - crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; - crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; - crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; - crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; - crypto_int64 f2f2 = f2 * (crypto_int64) f2; - crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; - crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; - crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; - crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; - crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; - crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; - crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; - crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; - crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; - crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; - crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; - crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; - crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; - crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; - crypto_int64 f4f4 = f4 * (crypto_int64) f4; - crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; - crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; - crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; - crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; - crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; - crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; - crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; - crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; - crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; - crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; - crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; - crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; - crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; - crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; - crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; - crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; - crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; - crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; - crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; - crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; - crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; - crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; - crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; - crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; - crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; - crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; - crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; - crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; - crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; - crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - - h0 += h0; - h1 += h1; - h2 += h2; - h3 += h3; - h4 += h4; - h5 += h5; - h6 += h6; - h7 += h7; - h8 += h8; - h9 += h9; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - - carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - - carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - - carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/native/ed25519/fe_sub.c b/native/ed25519/fe_sub.c deleted file mode 100644 index 6e26b7df8..000000000 --- a/native/ed25519/fe_sub.c +++ /dev/null @@ -1,57 +0,0 @@ -#include "fe.h" - -/* -h = f - g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -void fe_sub(fe h,const fe f,const fe g) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 g0 = g[0]; - crypto_int32 g1 = g[1]; - crypto_int32 g2 = g[2]; - crypto_int32 g3 = g[3]; - crypto_int32 g4 = g[4]; - crypto_int32 g5 = g[5]; - crypto_int32 g6 = g[6]; - crypto_int32 g7 = g[7]; - crypto_int32 g8 = g[8]; - crypto_int32 g9 = g[9]; - crypto_int32 h0 = f0 - g0; - crypto_int32 h1 = f1 - g1; - crypto_int32 h2 = f2 - g2; - crypto_int32 h3 = f3 - g3; - crypto_int32 h4 = f4 - g4; - crypto_int32 h5 = f5 - g5; - crypto_int32 h6 = f6 - g6; - crypto_int32 h7 = f7 - g7; - crypto_int32 h8 = f8 - g8; - crypto_int32 h9 = f9 - g9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/native/ed25519/fe_tobytes.c b/native/ed25519/fe_tobytes.c deleted file mode 100644 index 0a63baf9c..000000000 --- a/native/ed25519/fe_tobytes.c +++ /dev/null @@ -1,119 +0,0 @@ -#include "fe.h" - -/* -Preconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. - -Write p=2^255-19; q=floor(h/p). -Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))). - -Proof: - Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4. - Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4. - - Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9). - Then 0> 25; - q = (h0 + q) >> 26; - q = (h1 + q) >> 25; - q = (h2 + q) >> 26; - q = (h3 + q) >> 25; - q = (h4 + q) >> 26; - q = (h5 + q) >> 25; - q = (h6 + q) >> 26; - q = (h7 + q) >> 25; - q = (h8 + q) >> 26; - q = (h9 + q) >> 25; - - /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */ - h0 += 19 * q; - /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */ - - carry0 = h0 >> 26; h1 += carry0; h0 -= carry0 << 26; - carry1 = h1 >> 25; h2 += carry1; h1 -= carry1 << 25; - carry2 = h2 >> 26; h3 += carry2; h2 -= carry2 << 26; - carry3 = h3 >> 25; h4 += carry3; h3 -= carry3 << 25; - carry4 = h4 >> 26; h5 += carry4; h4 -= carry4 << 26; - carry5 = h5 >> 25; h6 += carry5; h5 -= carry5 << 25; - carry6 = h6 >> 26; h7 += carry6; h6 -= carry6 << 26; - carry7 = h7 >> 25; h8 += carry7; h7 -= carry7 << 25; - carry8 = h8 >> 26; h9 += carry8; h8 -= carry8 << 26; - carry9 = h9 >> 25; h9 -= carry9 << 25; - /* h10 = carry9 */ - - /* - Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20. - Have h0+...+2^230 h9 between 0 and 2^255-1; - evidently 2^255 h10-2^255 q = 0. - Goal: Output h0+...+2^230 h9. - */ - - s[0] = h0 >> 0; - s[1] = h0 >> 8; - s[2] = h0 >> 16; - s[3] = (h0 >> 24) | (h1 << 2); - s[4] = h1 >> 6; - s[5] = h1 >> 14; - s[6] = (h1 >> 22) | (h2 << 3); - s[7] = h2 >> 5; - s[8] = h2 >> 13; - s[9] = (h2 >> 21) | (h3 << 5); - s[10] = h3 >> 3; - s[11] = h3 >> 11; - s[12] = (h3 >> 19) | (h4 << 6); - s[13] = h4 >> 2; - s[14] = h4 >> 10; - s[15] = h4 >> 18; - s[16] = h5 >> 0; - s[17] = h5 >> 8; - s[18] = h5 >> 16; - s[19] = (h5 >> 24) | (h6 << 1); - s[20] = h6 >> 7; - s[21] = h6 >> 15; - s[22] = (h6 >> 23) | (h7 << 3); - s[23] = h7 >> 5; - s[24] = h7 >> 13; - s[25] = (h7 >> 21) | (h8 << 4); - s[26] = h8 >> 4; - s[27] = h8 >> 12; - s[28] = (h8 >> 20) | (h9 << 6); - s[29] = h9 >> 2; - s[30] = h9 >> 10; - s[31] = h9 >> 18; -} diff --git a/native/ed25519/ge.h b/native/ed25519/ge.h deleted file mode 100644 index 55e95f95b..000000000 --- a/native/ed25519/ge.h +++ /dev/null @@ -1,95 +0,0 @@ -#ifndef GE_H -#define GE_H - -/* -ge means group element. - -Here the group is the set of pairs (x,y) of field elements (see fe.h) -satisfying -x^2 + y^2 = 1 + d x^2y^2 -where d = -121665/121666. - -Representations: - ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z - ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT - ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T - ge_precomp (Duif): (y+x,y-x,2dxy) -*/ - -#include "fe.h" - -typedef struct { - fe X; - fe Y; - fe Z; -} ge_p2; - -typedef struct { - fe X; - fe Y; - fe Z; - fe T; -} ge_p3; - -typedef struct { - fe X; - fe Y; - fe Z; - fe T; -} ge_p1p1; - -typedef struct { - fe yplusx; - fe yminusx; - fe xy2d; -} ge_precomp; - -typedef struct { - fe YplusX; - fe YminusX; - fe Z; - fe T2d; -} ge_cached; - -#define ge_frombytes_negate_vartime crypto_sign_ed25519_ref10_ge_frombytes_negate_vartime -#define ge_tobytes crypto_sign_ed25519_ref10_ge_tobytes -#define ge_p3_tobytes crypto_sign_ed25519_ref10_ge_p3_tobytes - -#define ge_p2_0 crypto_sign_ed25519_ref10_ge_p2_0 -#define ge_p3_0 crypto_sign_ed25519_ref10_ge_p3_0 -#define ge_precomp_0 crypto_sign_ed25519_ref10_ge_precomp_0 -#define ge_p3_to_p2 crypto_sign_ed25519_ref10_ge_p3_to_p2 -#define ge_p3_to_cached crypto_sign_ed25519_ref10_ge_p3_to_cached -#define ge_p1p1_to_p2 crypto_sign_ed25519_ref10_ge_p1p1_to_p2 -#define ge_p1p1_to_p3 crypto_sign_ed25519_ref10_ge_p1p1_to_p3 -#define ge_p2_dbl crypto_sign_ed25519_ref10_ge_p2_dbl -#define ge_p3_dbl crypto_sign_ed25519_ref10_ge_p3_dbl - -#define ge_madd crypto_sign_ed25519_ref10_ge_madd -#define ge_msub crypto_sign_ed25519_ref10_ge_msub -#define ge_add crypto_sign_ed25519_ref10_ge_add -#define ge_sub crypto_sign_ed25519_ref10_ge_sub -#define ge_scalarmult_base crypto_sign_ed25519_ref10_ge_scalarmult_base -#define ge_double_scalarmult_vartime crypto_sign_ed25519_ref10_ge_double_scalarmult_vartime - -extern void ge_tobytes(unsigned char *,const ge_p2 *); -extern void ge_p3_tobytes(unsigned char *,const ge_p3 *); -extern int ge_frombytes_negate_vartime(ge_p3 *,const unsigned char *); - -extern void ge_p2_0(ge_p2 *); -extern void ge_p3_0(ge_p3 *); -extern void ge_precomp_0(ge_precomp *); -extern void ge_p3_to_p2(ge_p2 *,const ge_p3 *); -extern void ge_p3_to_cached(ge_cached *,const ge_p3 *); -extern void ge_p1p1_to_p2(ge_p2 *,const ge_p1p1 *); -extern void ge_p1p1_to_p3(ge_p3 *,const ge_p1p1 *); -extern void ge_p2_dbl(ge_p1p1 *,const ge_p2 *); -extern void ge_p3_dbl(ge_p1p1 *,const ge_p3 *); - -extern void ge_madd(ge_p1p1 *,const ge_p3 *,const ge_precomp *); -extern void ge_msub(ge_p1p1 *,const ge_p3 *,const ge_precomp *); -extern void ge_add(ge_p1p1 *,const ge_p3 *,const ge_cached *); -extern void ge_sub(ge_p1p1 *,const ge_p3 *,const ge_cached *); -extern void ge_scalarmult_base(ge_p3 *,const unsigned char *); -extern void ge_double_scalarmult_vartime(ge_p2 *,const unsigned char *,const ge_p3 *,const unsigned char *); - -#endif diff --git a/native/ed25519/ge_add.c b/native/ed25519/ge_add.c deleted file mode 100644 index da7ff5d2e..000000000 --- a/native/ed25519/ge_add.c +++ /dev/null @@ -1,11 +0,0 @@ -#include "ge.h" - -/* -r = p + q -*/ - -void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) -{ - fe t0; -#include "ge_add.h" -} diff --git a/native/ed25519/ge_add.h b/native/ed25519/ge_add.h deleted file mode 100644 index 7481f8ffb..000000000 --- a/native/ed25519/ge_add.h +++ /dev/null @@ -1,97 +0,0 @@ - -/* qhasm: enter ge_add */ - -/* qhasm: fe X1 */ - -/* qhasm: fe Y1 */ - -/* qhasm: fe Z1 */ - -/* qhasm: fe Z2 */ - -/* qhasm: fe T1 */ - -/* qhasm: fe ZZ */ - -/* qhasm: fe YpX2 */ - -/* qhasm: fe YmX2 */ - -/* qhasm: fe T2d2 */ - -/* qhasm: fe X3 */ - -/* qhasm: fe Y3 */ - -/* qhasm: fe Z3 */ - -/* qhasm: fe T3 */ - -/* qhasm: fe YpX1 */ - -/* qhasm: fe YmX1 */ - -/* qhasm: fe A */ - -/* qhasm: fe B */ - -/* qhasm: fe C */ - -/* qhasm: fe D */ - -/* qhasm: YpX1 = Y1+X1 */ -/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ -fe_add(r->X,p->Y,p->X); - -/* qhasm: YmX1 = Y1-X1 */ -/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ -fe_sub(r->Y,p->Y,p->X); - -/* qhasm: A = YpX1*YpX2 */ -/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,YplusX); */ -fe_mul(r->Z,r->X,q->YplusX); - -/* qhasm: B = YmX1*YmX2 */ -/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,YminusX); */ -fe_mul(r->Y,r->Y,q->YminusX); - -/* qhasm: C = T2d2*T1 */ -/* asm 1: fe_mul(>C=fe#4,C=r->T,T2d,T); */ -fe_mul(r->T,q->T2d,p->T); - -/* qhasm: ZZ = Z1*Z2 */ -/* asm 1: fe_mul(>ZZ=fe#1,ZZ=r->X,Z,Z); */ -fe_mul(r->X,p->Z,q->Z); - -/* qhasm: D = 2*ZZ */ -/* asm 1: fe_add(>D=fe#5,D=t0,X,X); */ -fe_add(t0,r->X,r->X); - -/* qhasm: X3 = A-B */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ -fe_sub(r->X,r->Z,r->Y); - -/* qhasm: Y3 = A+B */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ -fe_add(r->Y,r->Z,r->Y); - -/* qhasm: Z3 = D+C */ -/* asm 1: fe_add(>Z3=fe#3,Z3=r->Z,T); */ -fe_add(r->Z,t0,r->T); - -/* qhasm: T3 = D-C */ -/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T); */ -fe_sub(r->T,t0,r->T); - -/* qhasm: return */ diff --git a/native/ed25519/ge_double_scalarmult.c b/native/ed25519/ge_double_scalarmult.c deleted file mode 100644 index f8bf4bf77..000000000 --- a/native/ed25519/ge_double_scalarmult.c +++ /dev/null @@ -1,96 +0,0 @@ -#include "ge.h" - -static void slide(signed char *r,const unsigned char *a) -{ - int i; - int b; - int k; - - for (i = 0;i < 256;++i) - r[i] = 1 & (a[i >> 3] >> (i & 7)); - - for (i = 0;i < 256;++i) - if (r[i]) { - for (b = 1;b <= 6 && i + b < 256;++b) { - if (r[i + b]) { - if (r[i] + (r[i + b] << b) <= 15) { - r[i] += r[i + b] << b; r[i + b] = 0; - } else if (r[i] - (r[i + b] << b) >= -15) { - r[i] -= r[i + b] << b; - for (k = i + b;k < 256;++k) { - if (!r[k]) { - r[k] = 1; - break; - } - r[k] = 0; - } - } else - break; - } - } - } - -} - -static ge_precomp Bi[8] = { -#include "base2.h" -} ; - -/* -r = a * A + b * B -where a = a[0]+256*a[1]+...+256^31 a[31]. -and b = b[0]+256*b[1]+...+256^31 b[31]. -B is the Ed25519 base point (x,4/5) with x positive. -*/ - -void ge_double_scalarmult_vartime(ge_p2 *r,const unsigned char *a,const ge_p3 *A,const unsigned char *b) -{ - signed char aslide[256]; - signed char bslide[256]; - ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */ - ge_p1p1 t; - ge_p3 u; - ge_p3 A2; - int i; - - slide(aslide,a); - slide(bslide,b); - - ge_p3_to_cached(&Ai[0],A); - ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t); - ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u); - ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u); - ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u); - ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u); - ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u); - ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u); - ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u); - - ge_p2_0(r); - - for (i = 255;i >= 0;--i) { - if (aslide[i] || bslide[i]) break; - } - - for (;i >= 0;--i) { - ge_p2_dbl(&t,r); - - if (aslide[i] > 0) { - ge_p1p1_to_p3(&u,&t); - ge_add(&t,&u,&Ai[aslide[i]/2]); - } else if (aslide[i] < 0) { - ge_p1p1_to_p3(&u,&t); - ge_sub(&t,&u,&Ai[(-aslide[i])/2]); - } - - if (bslide[i] > 0) { - ge_p1p1_to_p3(&u,&t); - ge_madd(&t,&u,&Bi[bslide[i]/2]); - } else if (bslide[i] < 0) { - ge_p1p1_to_p3(&u,&t); - ge_msub(&t,&u,&Bi[(-bslide[i])/2]); - } - - ge_p1p1_to_p2(r,&t); - } -} diff --git a/native/ed25519/ge_frombytes.c b/native/ed25519/ge_frombytes.c deleted file mode 100644 index 1a059ee93..000000000 --- a/native/ed25519/ge_frombytes.c +++ /dev/null @@ -1,50 +0,0 @@ -#include "ge.h" - -static const fe d = { -#include "d.h" -} ; - -static const fe sqrtm1 = { -#include "sqrtm1.h" -} ; - -int ge_frombytes_negate_vartime(ge_p3 *h,const unsigned char *s) -{ - fe u; - fe v; - fe v3; - fe vxx; - fe check; - - fe_frombytes(h->Y,s); - fe_1(h->Z); - fe_sq(u,h->Y); - fe_mul(v,u,d); - fe_sub(u,u,h->Z); /* u = y^2-1 */ - fe_add(v,v,h->Z); /* v = dy^2+1 */ - - fe_sq(v3,v); - fe_mul(v3,v3,v); /* v3 = v^3 */ - fe_sq(h->X,v3); - fe_mul(h->X,h->X,v); - fe_mul(h->X,h->X,u); /* x = uv^7 */ - - fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */ - fe_mul(h->X,h->X,v3); - fe_mul(h->X,h->X,u); /* x = uv^3(uv^7)^((q-5)/8) */ - - fe_sq(vxx,h->X); - fe_mul(vxx,vxx,v); - fe_sub(check,vxx,u); /* vx^2-u */ - if (fe_isnonzero(check)) { - fe_add(check,vxx,u); /* vx^2+u */ - if (fe_isnonzero(check)) return -1; - fe_mul(h->X,h->X,sqrtm1); - } - - if (fe_isnegative(h->X) == (s[31] >> 7)) - fe_neg(h->X,h->X); - - fe_mul(h->T,h->X,h->Y); - return 0; -} diff --git a/native/ed25519/ge_madd.c b/native/ed25519/ge_madd.c deleted file mode 100644 index 622571774..000000000 --- a/native/ed25519/ge_madd.c +++ /dev/null @@ -1,11 +0,0 @@ -#include "ge.h" - -/* -r = p + q -*/ - -void ge_madd(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) -{ - fe t0; -#include "ge_madd.h" -} diff --git a/native/ed25519/ge_madd.h b/native/ed25519/ge_madd.h deleted file mode 100644 index ecae84952..000000000 --- a/native/ed25519/ge_madd.h +++ /dev/null @@ -1,88 +0,0 @@ - -/* qhasm: enter ge_madd */ - -/* qhasm: fe X1 */ - -/* qhasm: fe Y1 */ - -/* qhasm: fe Z1 */ - -/* qhasm: fe T1 */ - -/* qhasm: fe ypx2 */ - -/* qhasm: fe ymx2 */ - -/* qhasm: fe xy2d2 */ - -/* qhasm: fe X3 */ - -/* qhasm: fe Y3 */ - -/* qhasm: fe Z3 */ - -/* qhasm: fe T3 */ - -/* qhasm: fe YpX1 */ - -/* qhasm: fe YmX1 */ - -/* qhasm: fe A */ - -/* qhasm: fe B */ - -/* qhasm: fe C */ - -/* qhasm: fe D */ - -/* qhasm: YpX1 = Y1+X1 */ -/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ -fe_add(r->X,p->Y,p->X); - -/* qhasm: YmX1 = Y1-X1 */ -/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ -fe_sub(r->Y,p->Y,p->X); - -/* qhasm: A = YpX1*ypx2 */ -/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,yplusx); */ -fe_mul(r->Z,r->X,q->yplusx); - -/* qhasm: B = YmX1*ymx2 */ -/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,yminusx); */ -fe_mul(r->Y,r->Y,q->yminusx); - -/* qhasm: C = xy2d2*T1 */ -/* asm 1: fe_mul(>C=fe#4,C=r->T,xy2d,T); */ -fe_mul(r->T,q->xy2d,p->T); - -/* qhasm: D = 2*Z1 */ -/* asm 1: fe_add(>D=fe#5,D=t0,Z,Z); */ -fe_add(t0,p->Z,p->Z); - -/* qhasm: X3 = A-B */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ -fe_sub(r->X,r->Z,r->Y); - -/* qhasm: Y3 = A+B */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ -fe_add(r->Y,r->Z,r->Y); - -/* qhasm: Z3 = D+C */ -/* asm 1: fe_add(>Z3=fe#3,Z3=r->Z,T); */ -fe_add(r->Z,t0,r->T); - -/* qhasm: T3 = D-C */ -/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T); */ -fe_sub(r->T,t0,r->T); - -/* qhasm: return */ diff --git a/native/ed25519/ge_msub.c b/native/ed25519/ge_msub.c deleted file mode 100644 index 741ecbf11..000000000 --- a/native/ed25519/ge_msub.c +++ /dev/null @@ -1,11 +0,0 @@ -#include "ge.h" - -/* -r = p - q -*/ - -void ge_msub(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) -{ - fe t0; -#include "ge_msub.h" -} diff --git a/native/ed25519/ge_msub.h b/native/ed25519/ge_msub.h deleted file mode 100644 index 500f986ba..000000000 --- a/native/ed25519/ge_msub.h +++ /dev/null @@ -1,88 +0,0 @@ - -/* qhasm: enter ge_msub */ - -/* qhasm: fe X1 */ - -/* qhasm: fe Y1 */ - -/* qhasm: fe Z1 */ - -/* qhasm: fe T1 */ - -/* qhasm: fe ypx2 */ - -/* qhasm: fe ymx2 */ - -/* qhasm: fe xy2d2 */ - -/* qhasm: fe X3 */ - -/* qhasm: fe Y3 */ - -/* qhasm: fe Z3 */ - -/* qhasm: fe T3 */ - -/* qhasm: fe YpX1 */ - -/* qhasm: fe YmX1 */ - -/* qhasm: fe A */ - -/* qhasm: fe B */ - -/* qhasm: fe C */ - -/* qhasm: fe D */ - -/* qhasm: YpX1 = Y1+X1 */ -/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ -fe_add(r->X,p->Y,p->X); - -/* qhasm: YmX1 = Y1-X1 */ -/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ -fe_sub(r->Y,p->Y,p->X); - -/* qhasm: A = YpX1*ymx2 */ -/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,yminusx); */ -fe_mul(r->Z,r->X,q->yminusx); - -/* qhasm: B = YmX1*ypx2 */ -/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,yplusx); */ -fe_mul(r->Y,r->Y,q->yplusx); - -/* qhasm: C = xy2d2*T1 */ -/* asm 1: fe_mul(>C=fe#4,C=r->T,xy2d,T); */ -fe_mul(r->T,q->xy2d,p->T); - -/* qhasm: D = 2*Z1 */ -/* asm 1: fe_add(>D=fe#5,D=t0,Z,Z); */ -fe_add(t0,p->Z,p->Z); - -/* qhasm: X3 = A-B */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ -fe_sub(r->X,r->Z,r->Y); - -/* qhasm: Y3 = A+B */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ -fe_add(r->Y,r->Z,r->Y); - -/* qhasm: Z3 = D-C */ -/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,T); */ -fe_sub(r->Z,t0,r->T); - -/* qhasm: T3 = D+C */ -/* asm 1: fe_add(>T3=fe#4,T3=r->T,T); */ -fe_add(r->T,t0,r->T); - -/* qhasm: return */ diff --git a/native/ed25519/ge_p1p1_to_p2.c b/native/ed25519/ge_p1p1_to_p2.c deleted file mode 100644 index 9bb5013d6..000000000 --- a/native/ed25519/ge_p1p1_to_p2.c +++ /dev/null @@ -1,12 +0,0 @@ -#include "ge.h" - -/* -r = p -*/ - -extern void ge_p1p1_to_p2(ge_p2 *r,const ge_p1p1 *p) -{ - fe_mul(r->X,p->X,p->T); - fe_mul(r->Y,p->Y,p->Z); - fe_mul(r->Z,p->Z,p->T); -} diff --git a/native/ed25519/ge_p1p1_to_p3.c b/native/ed25519/ge_p1p1_to_p3.c deleted file mode 100644 index 2f57b1096..000000000 --- a/native/ed25519/ge_p1p1_to_p3.c +++ /dev/null @@ -1,13 +0,0 @@ -#include "ge.h" - -/* -r = p -*/ - -extern void ge_p1p1_to_p3(ge_p3 *r,const ge_p1p1 *p) -{ - fe_mul(r->X,p->X,p->T); - fe_mul(r->Y,p->Y,p->Z); - fe_mul(r->Z,p->Z,p->T); - fe_mul(r->T,p->X,p->Y); -} diff --git a/native/ed25519/ge_p2_0.c b/native/ed25519/ge_p2_0.c deleted file mode 100644 index 6191d1e6e..000000000 --- a/native/ed25519/ge_p2_0.c +++ /dev/null @@ -1,8 +0,0 @@ -#include "ge.h" - -void ge_p2_0(ge_p2 *h) -{ - fe_0(h->X); - fe_1(h->Y); - fe_1(h->Z); -} diff --git a/native/ed25519/ge_p2_dbl.c b/native/ed25519/ge_p2_dbl.c deleted file mode 100644 index 2e332b5ce..000000000 --- a/native/ed25519/ge_p2_dbl.c +++ /dev/null @@ -1,11 +0,0 @@ -#include "ge.h" - -/* -r = 2 * p -*/ - -void ge_p2_dbl(ge_p1p1 *r,const ge_p2 *p) -{ - fe t0; -#include "ge_p2_dbl.h" -} diff --git a/native/ed25519/ge_p2_dbl.h b/native/ed25519/ge_p2_dbl.h deleted file mode 100644 index 128efed90..000000000 --- a/native/ed25519/ge_p2_dbl.h +++ /dev/null @@ -1,73 +0,0 @@ - -/* qhasm: enter ge_p2_dbl */ - -/* qhasm: fe X1 */ - -/* qhasm: fe Y1 */ - -/* qhasm: fe Z1 */ - -/* qhasm: fe A */ - -/* qhasm: fe AA */ - -/* qhasm: fe XX */ - -/* qhasm: fe YY */ - -/* qhasm: fe B */ - -/* qhasm: fe X3 */ - -/* qhasm: fe Y3 */ - -/* qhasm: fe Z3 */ - -/* qhasm: fe T3 */ - -/* qhasm: XX=X1^2 */ -/* asm 1: fe_sq(>XX=fe#1,XX=r->X,X); */ -fe_sq(r->X,p->X); - -/* qhasm: YY=Y1^2 */ -/* asm 1: fe_sq(>YY=fe#3,YY=r->Z,Y); */ -fe_sq(r->Z,p->Y); - -/* qhasm: B=2*Z1^2 */ -/* asm 1: fe_sq2(>B=fe#4,B=r->T,Z); */ -fe_sq2(r->T,p->Z); - -/* qhasm: A=X1+Y1 */ -/* asm 1: fe_add(>A=fe#2,A=r->Y,X,Y); */ -fe_add(r->Y,p->X,p->Y); - -/* qhasm: AA=A^2 */ -/* asm 1: fe_sq(>AA=fe#5,AA=t0,Y); */ -fe_sq(t0,r->Y); - -/* qhasm: Y3=YY+XX */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,X); */ -fe_add(r->Y,r->Z,r->X); - -/* qhasm: Z3=YY-XX */ -/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,Z,X); */ -fe_sub(r->Z,r->Z,r->X); - -/* qhasm: X3=AA-Y3 */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Y); */ -fe_sub(r->X,t0,r->Y); - -/* qhasm: T3=B-Z3 */ -/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T,Z); */ -fe_sub(r->T,r->T,r->Z); - -/* qhasm: return */ diff --git a/native/ed25519/ge_p3_0.c b/native/ed25519/ge_p3_0.c deleted file mode 100644 index 401b2935a..000000000 --- a/native/ed25519/ge_p3_0.c +++ /dev/null @@ -1,9 +0,0 @@ -#include "ge.h" - -void ge_p3_0(ge_p3 *h) -{ - fe_0(h->X); - fe_1(h->Y); - fe_1(h->Z); - fe_0(h->T); -} diff --git a/native/ed25519/ge_p3_dbl.c b/native/ed25519/ge_p3_dbl.c deleted file mode 100644 index 0d8a05915..000000000 --- a/native/ed25519/ge_p3_dbl.c +++ /dev/null @@ -1,12 +0,0 @@ -#include "ge.h" - -/* -r = 2 * p -*/ - -void ge_p3_dbl(ge_p1p1 *r,const ge_p3 *p) -{ - ge_p2 q; - ge_p3_to_p2(&q,p); - ge_p2_dbl(r,&q); -} diff --git a/native/ed25519/ge_p3_to_cached.c b/native/ed25519/ge_p3_to_cached.c deleted file mode 100644 index bde64228c..000000000 --- a/native/ed25519/ge_p3_to_cached.c +++ /dev/null @@ -1,17 +0,0 @@ -#include "ge.h" - -/* -r = p -*/ - -static const fe d2 = { -#include "d2.h" -} ; - -extern void ge_p3_to_cached(ge_cached *r,const ge_p3 *p) -{ - fe_add(r->YplusX,p->Y,p->X); - fe_sub(r->YminusX,p->Y,p->X); - fe_copy(r->Z,p->Z); - fe_mul(r->T2d,p->T,d2); -} diff --git a/native/ed25519/ge_p3_to_p2.c b/native/ed25519/ge_p3_to_p2.c deleted file mode 100644 index e532a9e4c..000000000 --- a/native/ed25519/ge_p3_to_p2.c +++ /dev/null @@ -1,12 +0,0 @@ -#include "ge.h" - -/* -r = p -*/ - -extern void ge_p3_to_p2(ge_p2 *r,const ge_p3 *p) -{ - fe_copy(r->X,p->X); - fe_copy(r->Y,p->Y); - fe_copy(r->Z,p->Z); -} diff --git a/native/ed25519/ge_p3_tobytes.c b/native/ed25519/ge_p3_tobytes.c deleted file mode 100644 index 21cb2fc65..000000000 --- a/native/ed25519/ge_p3_tobytes.c +++ /dev/null @@ -1,14 +0,0 @@ -#include "ge.h" - -void ge_p3_tobytes(unsigned char *s,const ge_p3 *h) -{ - fe recip; - fe x; - fe y; - - fe_invert(recip,h->Z); - fe_mul(x,h->X,recip); - fe_mul(y,h->Y,recip); - fe_tobytes(s,y); - s[31] ^= fe_isnegative(x) << 7; -} diff --git a/native/ed25519/ge_precomp_0.c b/native/ed25519/ge_precomp_0.c deleted file mode 100644 index 2e218861d..000000000 --- a/native/ed25519/ge_precomp_0.c +++ /dev/null @@ -1,8 +0,0 @@ -#include "ge.h" - -void ge_precomp_0(ge_precomp *h) -{ - fe_1(h->yplusx); - fe_1(h->yminusx); - fe_0(h->xy2d); -} diff --git a/native/ed25519/ge_scalarmult_base.c b/native/ed25519/ge_scalarmult_base.c deleted file mode 100644 index 421e4fa0f..000000000 --- a/native/ed25519/ge_scalarmult_base.c +++ /dev/null @@ -1,105 +0,0 @@ -#include "ge.h" -#include "crypto_uint32.h" - -static unsigned char equal(signed char b,signed char c) -{ - unsigned char ub = b; - unsigned char uc = c; - unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ - crypto_uint32 y = x; /* 0: yes; 1..255: no */ - y -= 1; /* 4294967295: yes; 0..254: no */ - y >>= 31; /* 1: yes; 0: no */ - return y; -} - -static unsigned char negative(signed char b) -{ - unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ - x >>= 63; /* 1: yes; 0: no */ - return x; -} - -static void cmov(ge_precomp *t,ge_precomp *u,unsigned char b) -{ - fe_cmov(t->yplusx,u->yplusx,b); - fe_cmov(t->yminusx,u->yminusx,b); - fe_cmov(t->xy2d,u->xy2d,b); -} - -/* base[i][j] = (j+1)*256^i*B */ -static ge_precomp base[32][8] = { -#include "base.h" -} ; - -static void select(ge_precomp *t,int pos,signed char b) -{ - ge_precomp minust; - unsigned char bnegative = negative(b); - unsigned char babs = b - (((-bnegative) & b) << 1); - - ge_precomp_0(t); - cmov(t,&base[pos][0],equal(babs,1)); - cmov(t,&base[pos][1],equal(babs,2)); - cmov(t,&base[pos][2],equal(babs,3)); - cmov(t,&base[pos][3],equal(babs,4)); - cmov(t,&base[pos][4],equal(babs,5)); - cmov(t,&base[pos][5],equal(babs,6)); - cmov(t,&base[pos][6],equal(babs,7)); - cmov(t,&base[pos][7],equal(babs,8)); - fe_copy(minust.yplusx,t->yminusx); - fe_copy(minust.yminusx,t->yplusx); - fe_neg(minust.xy2d,t->xy2d); - cmov(t,&minust,bnegative); -} - -/* -h = a * B -where a = a[0]+256*a[1]+...+256^31 a[31] -B is the Ed25519 base point (x,4/5) with x positive. - -Preconditions: - a[31] <= 127 -*/ - -void ge_scalarmult_base(ge_p3 *h,const unsigned char *a) -{ - signed char e[64]; - signed char carry; - ge_p1p1 r; - ge_p2 s; - ge_precomp t; - int i; - - for (i = 0;i < 32;++i) { - e[2 * i + 0] = (a[i] >> 0) & 15; - e[2 * i + 1] = (a[i] >> 4) & 15; - } - /* each e[i] is between 0 and 15 */ - /* e[63] is between 0 and 7 */ - - carry = 0; - for (i = 0;i < 63;++i) { - e[i] += carry; - carry = e[i] + 8; - carry >>= 4; - e[i] -= carry << 4; - } - e[63] += carry; - /* each e[i] is between -8 and 8 */ - - ge_p3_0(h); - for (i = 1;i < 64;i += 2) { - select(&t,i / 2,e[i]); - ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); - } - - ge_p3_dbl(&r,h); ge_p1p1_to_p2(&s,&r); - ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); - ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); - ge_p2_dbl(&r,&s); ge_p1p1_to_p3(h,&r); - - for (i = 0;i < 64;i += 2) { - select(&t,i / 2,e[i]); - ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); - } -} diff --git a/native/ed25519/ge_sub.c b/native/ed25519/ge_sub.c deleted file mode 100644 index 69f3d5406..000000000 --- a/native/ed25519/ge_sub.c +++ /dev/null @@ -1,11 +0,0 @@ -#include "ge.h" - -/* -r = p - q -*/ - -void ge_sub(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) -{ - fe t0; -#include "ge_sub.h" -} diff --git a/native/ed25519/ge_sub.h b/native/ed25519/ge_sub.h deleted file mode 100644 index b4ef1f5dd..000000000 --- a/native/ed25519/ge_sub.h +++ /dev/null @@ -1,97 +0,0 @@ - -/* qhasm: enter ge_sub */ - -/* qhasm: fe X1 */ - -/* qhasm: fe Y1 */ - -/* qhasm: fe Z1 */ - -/* qhasm: fe Z2 */ - -/* qhasm: fe T1 */ - -/* qhasm: fe ZZ */ - -/* qhasm: fe YpX2 */ - -/* qhasm: fe YmX2 */ - -/* qhasm: fe T2d2 */ - -/* qhasm: fe X3 */ - -/* qhasm: fe Y3 */ - -/* qhasm: fe Z3 */ - -/* qhasm: fe T3 */ - -/* qhasm: fe YpX1 */ - -/* qhasm: fe YmX1 */ - -/* qhasm: fe A */ - -/* qhasm: fe B */ - -/* qhasm: fe C */ - -/* qhasm: fe D */ - -/* qhasm: YpX1 = Y1+X1 */ -/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ -fe_add(r->X,p->Y,p->X); - -/* qhasm: YmX1 = Y1-X1 */ -/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ -fe_sub(r->Y,p->Y,p->X); - -/* qhasm: A = YpX1*YmX2 */ -/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,YminusX); */ -fe_mul(r->Z,r->X,q->YminusX); - -/* qhasm: B = YmX1*YpX2 */ -/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,YplusX); */ -fe_mul(r->Y,r->Y,q->YplusX); - -/* qhasm: C = T2d2*T1 */ -/* asm 1: fe_mul(>C=fe#4,C=r->T,T2d,T); */ -fe_mul(r->T,q->T2d,p->T); - -/* qhasm: ZZ = Z1*Z2 */ -/* asm 1: fe_mul(>ZZ=fe#1,ZZ=r->X,Z,Z); */ -fe_mul(r->X,p->Z,q->Z); - -/* qhasm: D = 2*ZZ */ -/* asm 1: fe_add(>D=fe#5,D=t0,X,X); */ -fe_add(t0,r->X,r->X); - -/* qhasm: X3 = A-B */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ -fe_sub(r->X,r->Z,r->Y); - -/* qhasm: Y3 = A+B */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ -fe_add(r->Y,r->Z,r->Y); - -/* qhasm: Z3 = D-C */ -/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,T); */ -fe_sub(r->Z,t0,r->T); - -/* qhasm: T3 = D+C */ -/* asm 1: fe_add(>T3=fe#4,T3=r->T,T); */ -fe_add(r->T,t0,r->T); - -/* qhasm: return */ diff --git a/native/ed25519/ge_tobytes.c b/native/ed25519/ge_tobytes.c deleted file mode 100644 index 31b3d33e0..000000000 --- a/native/ed25519/ge_tobytes.c +++ /dev/null @@ -1,14 +0,0 @@ -#include "ge.h" - -void ge_tobytes(unsigned char *s,const ge_p2 *h) -{ - fe recip; - fe x; - fe y; - - fe_invert(recip,h->Z); - fe_mul(x,h->X,recip); - fe_mul(y,h->Y,recip); - fe_tobytes(s,y); - s[31] ^= fe_isnegative(x) << 7; -} diff --git a/native/ed25519/main/main.c b/native/ed25519/main/main.c deleted file mode 100644 index 657b59f39..000000000 --- a/native/ed25519/main/main.c +++ /dev/null @@ -1,41 +0,0 @@ -#include -#include -#include "sha512.h" -#include "curve_sigs.h" - -int main(int argc, char* argv[]) -{ - unsigned char privkey[32]; - unsigned char pubkey[32]; - unsigned char signature[64]; - unsigned char msg[100]; - unsigned long long msg_len = 100; - - /* Initialize pubkey, privkey, msg */ - memset(msg, 0, 100); - memset(privkey, 0, 32); - memset(pubkey, 0, 32); - privkey[0] &= 248; - privkey[31] &= 63; - privkey[31] |= 64; - - privkey[8] = 189; /* just so there's some bits set */ - - curve25519_keygen(pubkey, privkey); - - curve25519_sign(signature, privkey, msg, msg_len); - - if (curve25519_verify(signature, pubkey, msg, msg_len) == 0) - printf("success #1\n"); - else - printf("failure #1\n"); - - signature[0] ^= 1; - - if (curve25519_verify(signature, pubkey, msg, msg_len) == 0) - printf("failure #2\n"); - else - printf("success #2\n"); - - return 1; -} diff --git a/native/ed25519/nacl_includes/crypto_hash_sha512.h b/native/ed25519/nacl_includes/crypto_hash_sha512.h deleted file mode 100644 index b77f8620e..000000000 --- a/native/ed25519/nacl_includes/crypto_hash_sha512.h +++ /dev/null @@ -1,23 +0,0 @@ -#ifndef crypto_hash_sha512_H -#define crypto_hash_sha512_H - -#define crypto_hash_sha512_ref_BYTES 64 -#ifdef __cplusplus -#include -extern std::string crypto_hash_sha512_ref(const std::string &); -extern "C" { -#endif -extern int crypto_hash_sha512_ref(unsigned char *,const unsigned char *,unsigned long long); -#ifdef __cplusplus -} -#endif - -#define crypto_hash_sha512 crypto_hash_sha512_ref -#define crypto_hash_sha512_BYTES crypto_hash_sha512_ref_BYTES -#define crypto_hash_sha512_IMPLEMENTATION "crypto_hash/sha512/ref" -#ifndef crypto_hash_sha512_ref_VERSION -#define crypto_hash_sha512_ref_VERSION "-" -#endif -#define crypto_hash_sha512_VERSION crypto_hash_sha512_ref_VERSION - -#endif diff --git a/native/ed25519/nacl_includes/crypto_int32.h b/native/ed25519/nacl_includes/crypto_int32.h deleted file mode 100644 index cae135e6e..000000000 --- a/native/ed25519/nacl_includes/crypto_int32.h +++ /dev/null @@ -1,6 +0,0 @@ -#ifndef crypto_int32_h -#define crypto_int32_h - -typedef int crypto_int32; - -#endif diff --git a/native/ed25519/nacl_includes/crypto_int64.h b/native/ed25519/nacl_includes/crypto_int64.h deleted file mode 100644 index fc92417b6..000000000 --- a/native/ed25519/nacl_includes/crypto_int64.h +++ /dev/null @@ -1,6 +0,0 @@ -#ifndef crypto_int64_h -#define crypto_int64_h - -typedef long long crypto_int64; - -#endif diff --git a/native/ed25519/nacl_includes/crypto_sign.h b/native/ed25519/nacl_includes/crypto_sign.h deleted file mode 100644 index 8472603e9..000000000 --- a/native/ed25519/nacl_includes/crypto_sign.h +++ /dev/null @@ -1,16 +0,0 @@ -#ifndef crypto_sign_H -#define crypto_sign_H - -#include "crypto_sign_edwards25519sha512batch.h" - -#define crypto_sign crypto_sign_edwards25519sha512batch -#define crypto_sign_open crypto_sign_edwards25519sha512batch_open -#define crypto_sign_keypair crypto_sign_edwards25519sha512batch_keypair -#define crypto_sign_BYTES crypto_sign_edwards25519sha512batch_BYTES -#define crypto_sign_PUBLICKEYBYTES crypto_sign_edwards25519sha512batch_PUBLICKEYBYTES -#define crypto_sign_SECRETKEYBYTES crypto_sign_edwards25519sha512batch_SECRETKEYBYTES -#define crypto_sign_PRIMITIVE "edwards25519sha512batch" -#define crypto_sign_IMPLEMENTATION crypto_sign_edwards25519sha512batch_IMPLEMENTATION -#define crypto_sign_VERSION crypto_sign_edwards25519sha512batch_VERSION - -#endif diff --git a/native/ed25519/nacl_includes/crypto_sign_edwards25519sha512batch.h b/native/ed25519/nacl_includes/crypto_sign_edwards25519sha512batch.h deleted file mode 100644 index 62fae6116..000000000 --- a/native/ed25519/nacl_includes/crypto_sign_edwards25519sha512batch.h +++ /dev/null @@ -1,33 +0,0 @@ -#ifndef crypto_sign_edwards25519sha512batch_H -#define crypto_sign_edwards25519sha512batch_H - -#define crypto_sign_edwards25519sha512batch_ref10_SECRETKEYBYTES 64 -#define crypto_sign_edwards25519sha512batch_ref10_PUBLICKEYBYTES 32 -#define crypto_sign_edwards25519sha512batch_ref10_BYTES 64 -#ifdef __cplusplus -#include -extern std::string crypto_sign_edwards25519sha512batch_ref10(const std::string &,const std::string &); -extern std::string crypto_sign_edwards25519sha512batch_ref10_open(const std::string &,const std::string &); -extern std::string crypto_sign_edwards25519sha512batch_ref10_keypair(std::string *); -extern "C" { -#endif -extern int crypto_sign_edwards25519sha512batch_ref10(unsigned char *,unsigned long long *,const unsigned char *,unsigned long long,const unsigned char *); -extern int crypto_sign_edwards25519sha512batch_ref10_open(unsigned char *,unsigned long long *,const unsigned char *,unsigned long long,const unsigned char *); -extern int crypto_sign_edwards25519sha512batch_ref10_keypair(unsigned char *,unsigned char *); -#ifdef __cplusplus -} -#endif - -#define crypto_sign_edwards25519sha512batch crypto_sign_edwards25519sha512batch_ref10 -#define crypto_sign_edwards25519sha512batch_open crypto_sign_edwards25519sha512batch_ref10_open -#define crypto_sign_edwards25519sha512batch_keypair crypto_sign_edwards25519sha512batch_ref10_keypair -#define crypto_sign_edwards25519sha512batch_BYTES crypto_sign_edwards25519sha512batch_ref10_BYTES -#define crypto_sign_edwards25519sha512batch_PUBLICKEYBYTES crypto_sign_edwards25519sha512batch_ref10_PUBLICKEYBYTES -#define crypto_sign_edwards25519sha512batch_SECRETKEYBYTES crypto_sign_edwards25519sha512batch_ref10_SECRETKEYBYTES -#define crypto_sign_edwards25519sha512batch_IMPLEMENTATION "crypto_sign/edwards25519sha512batch/ref10" -#ifndef crypto_sign_edwards25519sha512batch_ref10_VERSION -#define crypto_sign_edwards25519sha512batch_ref10_VERSION "-" -#endif -#define crypto_sign_edwards25519sha512batch_VERSION crypto_sign_edwards25519sha512batch_ref10_VERSION - -#endif diff --git a/native/ed25519/nacl_includes/crypto_uint32.h b/native/ed25519/nacl_includes/crypto_uint32.h deleted file mode 100644 index 21020d7b5..000000000 --- a/native/ed25519/nacl_includes/crypto_uint32.h +++ /dev/null @@ -1,6 +0,0 @@ -#ifndef crypto_uint32_h -#define crypto_uint32_h - -typedef unsigned int crypto_uint32; - -#endif diff --git a/native/ed25519/nacl_includes/crypto_uint64.h b/native/ed25519/nacl_includes/crypto_uint64.h deleted file mode 100644 index 5aa007037..000000000 --- a/native/ed25519/nacl_includes/crypto_uint64.h +++ /dev/null @@ -1,6 +0,0 @@ -#ifndef crypto_uint64_h -#define crypto_uint64_h - -typedef unsigned long long crypto_uint64; - -#endif diff --git a/native/ed25519/nacl_includes/crypto_verify_32.h b/native/ed25519/nacl_includes/crypto_verify_32.h deleted file mode 100644 index 978d84522..000000000 --- a/native/ed25519/nacl_includes/crypto_verify_32.h +++ /dev/null @@ -1,22 +0,0 @@ -#ifndef crypto_verify_32_H -#define crypto_verify_32_H - -#define crypto_verify_32_ref_BYTES 32 -#ifdef __cplusplus -#include -extern "C" { -#endif -extern int crypto_verify_32_ref(const unsigned char *,const unsigned char *); -#ifdef __cplusplus -} -#endif - -#define crypto_verify_32 crypto_verify_32_ref -#define crypto_verify_32_BYTES crypto_verify_32_ref_BYTES -#define crypto_verify_32_IMPLEMENTATION "crypto_verify/32/ref" -#ifndef crypto_verify_32_ref_VERSION -#define crypto_verify_32_ref_VERSION "-" -#endif -#define crypto_verify_32_VERSION crypto_verify_32_ref_VERSION - -#endif diff --git a/native/ed25519/open.c b/native/ed25519/open.c deleted file mode 100644 index 1ec4cd2bf..000000000 --- a/native/ed25519/open.c +++ /dev/null @@ -1,48 +0,0 @@ -#include -#include "crypto_sign.h" -#include "crypto_hash_sha512.h" -#include "crypto_verify_32.h" -#include "ge.h" -#include "sc.h" - -int crypto_sign_open( - unsigned char *m,unsigned long long *mlen, - const unsigned char *sm,unsigned long long smlen, - const unsigned char *pk -) -{ - unsigned char pkcopy[32]; - unsigned char rcopy[32]; - unsigned char scopy[32]; - unsigned char h[64]; - unsigned char rcheck[32]; - ge_p3 A; - ge_p2 R; - - if (smlen < 64) goto badsig; - if (sm[63] & 224) goto badsig; - if (ge_frombytes_negate_vartime(&A,pk) != 0) goto badsig; - - memmove(pkcopy,pk,32); - memmove(rcopy,sm,32); - memmove(scopy,sm + 32,32); - - memmove(m,sm,smlen); - memmove(m + 32,pkcopy,32); - crypto_hash_sha512(h,m,smlen); - sc_reduce(h); - - ge_double_scalarmult_vartime(&R,h,&A,scopy); - ge_tobytes(rcheck,&R); - if (crypto_verify_32(rcheck,rcopy) == 0) { - memmove(m,m + 64,smlen - 64); - memset(m + smlen - 64,0,64); - *mlen = smlen - 64; - return 0; - } - -badsig: - *mlen = -1; - memset(m,0,smlen); - return -1; -} diff --git a/native/ed25519/pow22523.h b/native/ed25519/pow22523.h deleted file mode 100644 index 60ffe0d34..000000000 --- a/native/ed25519/pow22523.h +++ /dev/null @@ -1,160 +0,0 @@ - -/* qhasm: fe z1 */ - -/* qhasm: fe z2 */ - -/* qhasm: fe z8 */ - -/* qhasm: fe z9 */ - -/* qhasm: fe z11 */ - -/* qhasm: fe z22 */ - -/* qhasm: fe z_5_0 */ - -/* qhasm: fe z_10_5 */ - -/* qhasm: fe z_10_0 */ - -/* qhasm: fe z_20_10 */ - -/* qhasm: fe z_20_0 */ - -/* qhasm: fe z_40_20 */ - -/* qhasm: fe z_40_0 */ - -/* qhasm: fe z_50_10 */ - -/* qhasm: fe z_50_0 */ - -/* qhasm: fe z_100_50 */ - -/* qhasm: fe z_100_0 */ - -/* qhasm: fe z_200_100 */ - -/* qhasm: fe z_200_0 */ - -/* qhasm: fe z_250_50 */ - -/* qhasm: fe z_250_0 */ - -/* qhasm: fe z_252_2 */ - -/* qhasm: fe z_252_3 */ - -/* qhasm: enter pow22523 */ - -/* qhasm: z2 = z1^2^1 */ -/* asm 1: fe_sq(>z2=fe#1,z2=fe#1,>z2=fe#1); */ -/* asm 2: fe_sq(>z2=t0,z2=t0,>z2=t0); */ -fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); - -/* qhasm: z8 = z2^2^2 */ -/* asm 1: fe_sq(>z8=fe#2,z8=fe#2,>z8=fe#2); */ -/* asm 2: fe_sq(>z8=t1,z8=t1,>z8=t1); */ -fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); - -/* qhasm: z9 = z1*z8 */ -/* asm 1: fe_mul(>z9=fe#2,z9=t1,z11=fe#1,z11=t0,z22=fe#1,z22=fe#1,>z22=fe#1); */ -/* asm 2: fe_sq(>z22=t0,z22=t0,>z22=t0); */ -fe_sq(t0,t0); for (i = 1;i < 1;++i) fe_sq(t0,t0); - -/* qhasm: z_5_0 = z9*z22 */ -/* asm 1: fe_mul(>z_5_0=fe#1,z_5_0=t0,z_10_5=fe#2,z_10_5=fe#2,>z_10_5=fe#2); */ -/* asm 2: fe_sq(>z_10_5=t1,z_10_5=t1,>z_10_5=t1); */ -fe_sq(t1,t0); for (i = 1;i < 5;++i) fe_sq(t1,t1); - -/* qhasm: z_10_0 = z_10_5*z_5_0 */ -/* asm 1: fe_mul(>z_10_0=fe#1,z_10_0=t0,z_20_10=fe#2,z_20_10=fe#2,>z_20_10=fe#2); */ -/* asm 2: fe_sq(>z_20_10=t1,z_20_10=t1,>z_20_10=t1); */ -fe_sq(t1,t0); for (i = 1;i < 10;++i) fe_sq(t1,t1); - -/* qhasm: z_20_0 = z_20_10*z_10_0 */ -/* asm 1: fe_mul(>z_20_0=fe#2,z_20_0=t1,z_40_20=fe#3,z_40_20=fe#3,>z_40_20=fe#3); */ -/* asm 2: fe_sq(>z_40_20=t2,z_40_20=t2,>z_40_20=t2); */ -fe_sq(t2,t1); for (i = 1;i < 20;++i) fe_sq(t2,t2); - -/* qhasm: z_40_0 = z_40_20*z_20_0 */ -/* asm 1: fe_mul(>z_40_0=fe#2,z_40_0=t1,z_50_10=fe#2,z_50_10=fe#2,>z_50_10=fe#2); */ -/* asm 2: fe_sq(>z_50_10=t1,z_50_10=t1,>z_50_10=t1); */ -fe_sq(t1,t1); for (i = 1;i < 10;++i) fe_sq(t1,t1); - -/* qhasm: z_50_0 = z_50_10*z_10_0 */ -/* asm 1: fe_mul(>z_50_0=fe#1,z_50_0=t0,z_100_50=fe#2,z_100_50=fe#2,>z_100_50=fe#2); */ -/* asm 2: fe_sq(>z_100_50=t1,z_100_50=t1,>z_100_50=t1); */ -fe_sq(t1,t0); for (i = 1;i < 50;++i) fe_sq(t1,t1); - -/* qhasm: z_100_0 = z_100_50*z_50_0 */ -/* asm 1: fe_mul(>z_100_0=fe#2,z_100_0=t1,z_200_100=fe#3,z_200_100=fe#3,>z_200_100=fe#3); */ -/* asm 2: fe_sq(>z_200_100=t2,z_200_100=t2,>z_200_100=t2); */ -fe_sq(t2,t1); for (i = 1;i < 100;++i) fe_sq(t2,t2); - -/* qhasm: z_200_0 = z_200_100*z_100_0 */ -/* asm 1: fe_mul(>z_200_0=fe#2,z_200_0=t1,z_250_50=fe#2,z_250_50=fe#2,>z_250_50=fe#2); */ -/* asm 2: fe_sq(>z_250_50=t1,z_250_50=t1,>z_250_50=t1); */ -fe_sq(t1,t1); for (i = 1;i < 50;++i) fe_sq(t1,t1); - -/* qhasm: z_250_0 = z_250_50*z_50_0 */ -/* asm 1: fe_mul(>z_250_0=fe#1,z_250_0=t0,z_252_2=fe#1,z_252_2=fe#1,>z_252_2=fe#1); */ -/* asm 2: fe_sq(>z_252_2=t0,z_252_2=t0,>z_252_2=t0); */ -fe_sq(t0,t0); for (i = 1;i < 2;++i) fe_sq(t0,t0); - -/* qhasm: z_252_3 = z_252_2*z1 */ -/* asm 1: fe_mul(>z_252_3=fe#12,z_252_3=out,z2=fe#1,z2=fe#1,>z2=fe#1); */ -/* asm 2: fe_sq(>z2=t0,z2=t0,>z2=t0); */ -fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); - -/* qhasm: z8 = z2^2^2 */ -/* asm 1: fe_sq(>z8=fe#2,z8=fe#2,>z8=fe#2); */ -/* asm 2: fe_sq(>z8=t1,z8=t1,>z8=t1); */ -fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); - -/* qhasm: z9 = z1*z8 */ -/* asm 1: fe_mul(>z9=fe#2,z9=t1,z11=fe#1,z11=t0,z22=fe#3,z22=fe#3,>z22=fe#3); */ -/* asm 2: fe_sq(>z22=t2,z22=t2,>z22=t2); */ -fe_sq(t2,t0); for (i = 1;i < 1;++i) fe_sq(t2,t2); - -/* qhasm: z_5_0 = z9*z22 */ -/* asm 1: fe_mul(>z_5_0=fe#2,z_5_0=t1,z_10_5=fe#3,z_10_5=fe#3,>z_10_5=fe#3); */ -/* asm 2: fe_sq(>z_10_5=t2,z_10_5=t2,>z_10_5=t2); */ -fe_sq(t2,t1); for (i = 1;i < 5;++i) fe_sq(t2,t2); - -/* qhasm: z_10_0 = z_10_5*z_5_0 */ -/* asm 1: fe_mul(>z_10_0=fe#2,z_10_0=t1,z_20_10=fe#3,z_20_10=fe#3,>z_20_10=fe#3); */ -/* asm 2: fe_sq(>z_20_10=t2,z_20_10=t2,>z_20_10=t2); */ -fe_sq(t2,t1); for (i = 1;i < 10;++i) fe_sq(t2,t2); - -/* qhasm: z_20_0 = z_20_10*z_10_0 */ -/* asm 1: fe_mul(>z_20_0=fe#3,z_20_0=t2,z_40_20=fe#4,z_40_20=fe#4,>z_40_20=fe#4); */ -/* asm 2: fe_sq(>z_40_20=t3,z_40_20=t3,>z_40_20=t3); */ -fe_sq(t3,t2); for (i = 1;i < 20;++i) fe_sq(t3,t3); - -/* qhasm: z_40_0 = z_40_20*z_20_0 */ -/* asm 1: fe_mul(>z_40_0=fe#3,z_40_0=t2,z_50_10=fe#3,z_50_10=fe#3,>z_50_10=fe#3); */ -/* asm 2: fe_sq(>z_50_10=t2,z_50_10=t2,>z_50_10=t2); */ -fe_sq(t2,t2); for (i = 1;i < 10;++i) fe_sq(t2,t2); - -/* qhasm: z_50_0 = z_50_10*z_10_0 */ -/* asm 1: fe_mul(>z_50_0=fe#2,z_50_0=t1,z_100_50=fe#3,z_100_50=fe#3,>z_100_50=fe#3); */ -/* asm 2: fe_sq(>z_100_50=t2,z_100_50=t2,>z_100_50=t2); */ -fe_sq(t2,t1); for (i = 1;i < 50;++i) fe_sq(t2,t2); - -/* qhasm: z_100_0 = z_100_50*z_50_0 */ -/* asm 1: fe_mul(>z_100_0=fe#3,z_100_0=t2,z_200_100=fe#4,z_200_100=fe#4,>z_200_100=fe#4); */ -/* asm 2: fe_sq(>z_200_100=t3,z_200_100=t3,>z_200_100=t3); */ -fe_sq(t3,t2); for (i = 1;i < 100;++i) fe_sq(t3,t3); - -/* qhasm: z_200_0 = z_200_100*z_100_0 */ -/* asm 1: fe_mul(>z_200_0=fe#3,z_200_0=t2,z_250_50=fe#3,z_250_50=fe#3,>z_250_50=fe#3); */ -/* asm 2: fe_sq(>z_250_50=t2,z_250_50=t2,>z_250_50=t2); */ -fe_sq(t2,t2); for (i = 1;i < 50;++i) fe_sq(t2,t2); - -/* qhasm: z_250_0 = z_250_50*z_50_0 */ -/* asm 1: fe_mul(>z_250_0=fe#2,z_250_0=t1,z_255_5=fe#2,z_255_5=fe#2,>z_255_5=fe#2); */ -/* asm 2: fe_sq(>z_255_5=t1,z_255_5=t1,>z_255_5=t1); */ -fe_sq(t1,t1); for (i = 1;i < 5;++i) fe_sq(t1,t1); - -/* qhasm: z_255_21 = z_255_5*z11 */ -/* asm 1: fe_mul(>z_255_21=fe#12,z_255_21=out,> 5); - crypto_int64 a2 = 2097151 & (load_3(a + 5) >> 2); - crypto_int64 a3 = 2097151 & (load_4(a + 7) >> 7); - crypto_int64 a4 = 2097151 & (load_4(a + 10) >> 4); - crypto_int64 a5 = 2097151 & (load_3(a + 13) >> 1); - crypto_int64 a6 = 2097151 & (load_4(a + 15) >> 6); - crypto_int64 a7 = 2097151 & (load_3(a + 18) >> 3); - crypto_int64 a8 = 2097151 & load_3(a + 21); - crypto_int64 a9 = 2097151 & (load_4(a + 23) >> 5); - crypto_int64 a10 = 2097151 & (load_3(a + 26) >> 2); - crypto_int64 a11 = (load_4(a + 28) >> 7); - crypto_int64 b0 = 2097151 & load_3(b); - crypto_int64 b1 = 2097151 & (load_4(b + 2) >> 5); - crypto_int64 b2 = 2097151 & (load_3(b + 5) >> 2); - crypto_int64 b3 = 2097151 & (load_4(b + 7) >> 7); - crypto_int64 b4 = 2097151 & (load_4(b + 10) >> 4); - crypto_int64 b5 = 2097151 & (load_3(b + 13) >> 1); - crypto_int64 b6 = 2097151 & (load_4(b + 15) >> 6); - crypto_int64 b7 = 2097151 & (load_3(b + 18) >> 3); - crypto_int64 b8 = 2097151 & load_3(b + 21); - crypto_int64 b9 = 2097151 & (load_4(b + 23) >> 5); - crypto_int64 b10 = 2097151 & (load_3(b + 26) >> 2); - crypto_int64 b11 = (load_4(b + 28) >> 7); - crypto_int64 c0 = 2097151 & load_3(c); - crypto_int64 c1 = 2097151 & (load_4(c + 2) >> 5); - crypto_int64 c2 = 2097151 & (load_3(c + 5) >> 2); - crypto_int64 c3 = 2097151 & (load_4(c + 7) >> 7); - crypto_int64 c4 = 2097151 & (load_4(c + 10) >> 4); - crypto_int64 c5 = 2097151 & (load_3(c + 13) >> 1); - crypto_int64 c6 = 2097151 & (load_4(c + 15) >> 6); - crypto_int64 c7 = 2097151 & (load_3(c + 18) >> 3); - crypto_int64 c8 = 2097151 & load_3(c + 21); - crypto_int64 c9 = 2097151 & (load_4(c + 23) >> 5); - crypto_int64 c10 = 2097151 & (load_3(c + 26) >> 2); - crypto_int64 c11 = (load_4(c + 28) >> 7); - crypto_int64 s0; - crypto_int64 s1; - crypto_int64 s2; - crypto_int64 s3; - crypto_int64 s4; - crypto_int64 s5; - crypto_int64 s6; - crypto_int64 s7; - crypto_int64 s8; - crypto_int64 s9; - crypto_int64 s10; - crypto_int64 s11; - crypto_int64 s12; - crypto_int64 s13; - crypto_int64 s14; - crypto_int64 s15; - crypto_int64 s16; - crypto_int64 s17; - crypto_int64 s18; - crypto_int64 s19; - crypto_int64 s20; - crypto_int64 s21; - crypto_int64 s22; - crypto_int64 s23; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - crypto_int64 carry10; - crypto_int64 carry11; - crypto_int64 carry12; - crypto_int64 carry13; - crypto_int64 carry14; - crypto_int64 carry15; - crypto_int64 carry16; - crypto_int64 carry17; - crypto_int64 carry18; - crypto_int64 carry19; - crypto_int64 carry20; - crypto_int64 carry21; - crypto_int64 carry22; - - s0 = c0 + a0*b0; - s1 = c1 + a0*b1 + a1*b0; - s2 = c2 + a0*b2 + a1*b1 + a2*b0; - s3 = c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0; - s4 = c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0; - s5 = c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0; - s6 = c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0; - s7 = c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0; - s8 = c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0; - s9 = c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0; - s10 = c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0; - s11 = c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0; - s12 = a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1; - s13 = a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2; - s14 = a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3; - s15 = a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4; - s16 = a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5; - s17 = a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6; - s18 = a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7; - s19 = a8*b11 + a9*b10 + a10*b9 + a11*b8; - s20 = a9*b11 + a10*b10 + a11*b9; - s21 = a10*b11 + a11*b10; - s22 = a11*b11; - s23 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; - carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; - carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; - carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; - carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; - - s11 += s23 * 666643; - s12 += s23 * 470296; - s13 += s23 * 654183; - s14 -= s23 * 997805; - s15 += s23 * 136657; - s16 -= s23 * 683901; - s23 = 0; - - s10 += s22 * 666643; - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - s22 = 0; - - s9 += s21 * 666643; - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - s21 = 0; - - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - s20 = 0; - - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - s19 = 0; - - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - s18 = 0; - - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - - s5 += s17 * 666643; - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - s17 = 0; - - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - s16 = 0; - - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - s15 = 0; - - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - s14 = 0; - - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - s13 = 0; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} diff --git a/native/ed25519/sc_reduce.c b/native/ed25519/sc_reduce.c deleted file mode 100644 index d01f5a573..000000000 --- a/native/ed25519/sc_reduce.c +++ /dev/null @@ -1,275 +0,0 @@ -#include "sc.h" -#include "crypto_int64.h" -#include "crypto_uint32.h" -#include "crypto_uint64.h" - -static crypto_uint64 load_3(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - return result; -} - -static crypto_uint64 load_4(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - result |= ((crypto_uint64) in[3]) << 24; - return result; -} - -/* -Input: - s[0]+256*s[1]+...+256^63*s[63] = s - -Output: - s[0]+256*s[1]+...+256^31*s[31] = s mod l - where l = 2^252 + 27742317777372353535851937790883648493. - Overwrites s in place. -*/ - -void sc_reduce(unsigned char *s) -{ - crypto_int64 s0 = 2097151 & load_3(s); - crypto_int64 s1 = 2097151 & (load_4(s + 2) >> 5); - crypto_int64 s2 = 2097151 & (load_3(s + 5) >> 2); - crypto_int64 s3 = 2097151 & (load_4(s + 7) >> 7); - crypto_int64 s4 = 2097151 & (load_4(s + 10) >> 4); - crypto_int64 s5 = 2097151 & (load_3(s + 13) >> 1); - crypto_int64 s6 = 2097151 & (load_4(s + 15) >> 6); - crypto_int64 s7 = 2097151 & (load_3(s + 18) >> 3); - crypto_int64 s8 = 2097151 & load_3(s + 21); - crypto_int64 s9 = 2097151 & (load_4(s + 23) >> 5); - crypto_int64 s10 = 2097151 & (load_3(s + 26) >> 2); - crypto_int64 s11 = 2097151 & (load_4(s + 28) >> 7); - crypto_int64 s12 = 2097151 & (load_4(s + 31) >> 4); - crypto_int64 s13 = 2097151 & (load_3(s + 34) >> 1); - crypto_int64 s14 = 2097151 & (load_4(s + 36) >> 6); - crypto_int64 s15 = 2097151 & (load_3(s + 39) >> 3); - crypto_int64 s16 = 2097151 & load_3(s + 42); - crypto_int64 s17 = 2097151 & (load_4(s + 44) >> 5); - crypto_int64 s18 = 2097151 & (load_3(s + 47) >> 2); - crypto_int64 s19 = 2097151 & (load_4(s + 49) >> 7); - crypto_int64 s20 = 2097151 & (load_4(s + 52) >> 4); - crypto_int64 s21 = 2097151 & (load_3(s + 55) >> 1); - crypto_int64 s22 = 2097151 & (load_4(s + 57) >> 6); - crypto_int64 s23 = (load_4(s + 60) >> 3); - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - crypto_int64 carry10; - crypto_int64 carry11; - crypto_int64 carry12; - crypto_int64 carry13; - crypto_int64 carry14; - crypto_int64 carry15; - crypto_int64 carry16; - - s11 += s23 * 666643; - s12 += s23 * 470296; - s13 += s23 * 654183; - s14 -= s23 * 997805; - s15 += s23 * 136657; - s16 -= s23 * 683901; - s23 = 0; - - s10 += s22 * 666643; - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - s22 = 0; - - s9 += s21 * 666643; - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - s21 = 0; - - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - s20 = 0; - - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - s19 = 0; - - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - s18 = 0; - - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - - s5 += s17 * 666643; - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - s17 = 0; - - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - s16 = 0; - - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - s15 = 0; - - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - s14 = 0; - - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - s13 = 0; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} diff --git a/native/ed25519/sha512/LICENSE.txt b/native/ed25519/sha512/LICENSE.txt deleted file mode 100644 index 9789d32a1..000000000 --- a/native/ed25519/sha512/LICENSE.txt +++ /dev/null @@ -1,20 +0,0 @@ -Copyright (c) 2007-2011 Projet RNRT SAPHIR - -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. diff --git a/native/ed25519/sha512/md_helper.c b/native/ed25519/sha512/md_helper.c deleted file mode 100644 index 5384f03f7..000000000 --- a/native/ed25519/sha512/md_helper.c +++ /dev/null @@ -1,346 +0,0 @@ -/* $Id: md_helper.c 216 2010-06-08 09:46:57Z tp $ */ -/* - * This file contains some functions which implement the external data - * handling and padding for Merkle-Damgard hash functions which follow - * the conventions set out by MD4 (little-endian) or SHA-1 (big-endian). - * - * API: this file is meant to be included, not compiled as a stand-alone - * file. Some macros must be defined: - * RFUN name for the round function - * HASH "short name" for the hash function - * BE32 defined for big-endian, 32-bit based (e.g. SHA-1) - * LE32 defined for little-endian, 32-bit based (e.g. MD5) - * BE64 defined for big-endian, 64-bit based (e.g. SHA-512) - * LE64 defined for little-endian, 64-bit based (no example yet) - * PW01 if defined, append 0x01 instead of 0x80 (for Tiger) - * BLEN if defined, length of a message block (in bytes) - * PLW1 if defined, length is defined on one 64-bit word only (for Tiger) - * PLW4 if defined, length is defined on four 64-bit words (for WHIRLPOOL) - * SVAL if defined, reference to the context state information - * - * BLEN is used when a message block is not 16 (32-bit or 64-bit) words: - * this is used for instance for Tiger, which works on 64-bit words but - * uses 512-bit message blocks (eight 64-bit words). PLW1 and PLW4 are - * ignored if 32-bit words are used; if 64-bit words are used and PLW1 is - * set, then only one word (64 bits) will be used to encode the input - * message length (in bits), otherwise two words will be used (as in - * SHA-384 and SHA-512). If 64-bit words are used and PLW4 is defined (but - * not PLW1), four 64-bit words will be used to encode the message length - * (in bits). Note that regardless of those settings, only 64-bit message - * lengths are supported (in bits): messages longer than 2 Exabytes will be - * improperly hashed (this is unlikely to happen soon: 2 Exabytes is about - * 2 millions Terabytes, which is huge). - * - * If CLOSE_ONLY is defined, then this file defines only the sph_XXX_close() - * function. This is used for Tiger2, which is identical to Tiger except - * when it comes to the padding (Tiger2 uses the standard 0x80 byte instead - * of the 0x01 from original Tiger). - * - * The RFUN function is invoked with two arguments, the first pointing to - * aligned data (as a "const void *"), the second being state information - * from the context structure. By default, this state information is the - * "val" field from the context, and this field is assumed to be an array - * of words ("sph_u32" or "sph_u64", depending on BE32/LE32/BE64/LE64). - * from the context structure. The "val" field can have any type, except - * for the output encoding which assumes that it is an array of "sph_u32" - * values. By defining NO_OUTPUT, this last step is deactivated; the - * includer code is then responsible for writing out the hash result. When - * NO_OUTPUT is defined, the third parameter to the "close()" function is - * ignored. - * - * ==========================(LICENSE BEGIN)============================ - * - * Copyright (c) 2007-2010 Projet RNRT SAPHIR - * - * 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. - * - * ===========================(LICENSE END)============================= - * - * @author Thomas Pornin - */ - -#ifdef _MSC_VER -#pragma warning (disable: 4146) -#endif - -#undef SPH_XCAT -#define SPH_XCAT(a, b) SPH_XCAT_(a, b) -#undef SPH_XCAT_ -#define SPH_XCAT_(a, b) a ## b - -#undef SPH_BLEN -#undef SPH_WLEN -#if defined BE64 || defined LE64 -#define SPH_BLEN 128U -#define SPH_WLEN 8U -#else -#define SPH_BLEN 64U -#define SPH_WLEN 4U -#endif - -#ifdef BLEN -#undef SPH_BLEN -#define SPH_BLEN BLEN -#endif - -#undef SPH_MAXPAD -#if defined PLW1 -#define SPH_MAXPAD (SPH_BLEN - SPH_WLEN) -#elif defined PLW4 -#define SPH_MAXPAD (SPH_BLEN - (SPH_WLEN << 2)) -#else -#define SPH_MAXPAD (SPH_BLEN - (SPH_WLEN << 1)) -#endif - -#undef SPH_VAL -#undef SPH_NO_OUTPUT -#ifdef SVAL -#define SPH_VAL SVAL -#define SPH_NO_OUTPUT 1 -#else -#define SPH_VAL sc->val -#endif - -#ifndef CLOSE_ONLY - -#ifdef SPH_UPTR -static void -SPH_XCAT(HASH, _short)(void *cc, const void *data, size_t len) -#else -void -SPH_XCAT(sph_, HASH)(void *cc, const void *data, size_t len) -#endif -{ - SPH_XCAT(sph_, SPH_XCAT(HASH, _context)) *sc; - unsigned current; - - sc = cc; -#if SPH_64 - current = (unsigned)sc->count & (SPH_BLEN - 1U); -#else - current = (unsigned)sc->count_low & (SPH_BLEN - 1U); -#endif - while (len > 0) { - unsigned clen; -#if !SPH_64 - sph_u32 clow, clow2; -#endif - - clen = SPH_BLEN - current; - if (clen > len) - clen = len; - memcpy(sc->buf + current, data, clen); - data = (const unsigned char *)data + clen; - current += clen; - len -= clen; - if (current == SPH_BLEN) { - RFUN(sc->buf, SPH_VAL); - current = 0; - } -#if SPH_64 - sc->count += clen; -#else - clow = sc->count_low; - clow2 = SPH_T32(clow + clen); - sc->count_low = clow2; - if (clow2 < clow) - sc->count_high ++; -#endif - } -} - -#ifdef SPH_UPTR -void -SPH_XCAT(sph_, HASH)(void *cc, const void *data, size_t len) -{ - SPH_XCAT(sph_, SPH_XCAT(HASH, _context)) *sc; - unsigned current; - size_t orig_len; -#if !SPH_64 - sph_u32 clow, clow2; -#endif - - if (len < (2 * SPH_BLEN)) { - SPH_XCAT(HASH, _short)(cc, data, len); - return; - } - sc = cc; -#if SPH_64 - current = (unsigned)sc->count & (SPH_BLEN - 1U); -#else - current = (unsigned)sc->count_low & (SPH_BLEN - 1U); -#endif - if (current > 0) { - unsigned t; - - t = SPH_BLEN - current; - SPH_XCAT(HASH, _short)(cc, data, t); - data = (const unsigned char *)data + t; - len -= t; - } -#if !SPH_UNALIGNED - if (((SPH_UPTR)data & (SPH_WLEN - 1U)) != 0) { - SPH_XCAT(HASH, _short)(cc, data, len); - return; - } -#endif - orig_len = len; - while (len >= SPH_BLEN) { - RFUN(data, SPH_VAL); - len -= SPH_BLEN; - data = (const unsigned char *)data + SPH_BLEN; - } - if (len > 0) - memcpy(sc->buf, data, len); -#if SPH_64 - sc->count += (sph_u64)orig_len; -#else - clow = sc->count_low; - clow2 = SPH_T32(clow + orig_len); - sc->count_low = clow2; - if (clow2 < clow) - sc->count_high ++; - /* - * This code handles the improbable situation where "size_t" is - * greater than 32 bits, and yet we do not have a 64-bit type. - */ - orig_len >>= 12; - orig_len >>= 10; - orig_len >>= 10; - sc->count_high += orig_len; -#endif -} -#endif - -#endif - -/* - * Perform padding and produce result. The context is NOT reinitialized - * by this function. - */ -static void -SPH_XCAT(HASH, _addbits_and_close)(void *cc, - unsigned ub, unsigned n, void *dst, unsigned rnum) -{ - SPH_XCAT(sph_, SPH_XCAT(HASH, _context)) *sc; - unsigned current, u; -#if !SPH_64 - sph_u32 low, high; -#endif - - sc = cc; -#if SPH_64 - current = (unsigned)sc->count & (SPH_BLEN - 1U); -#else - current = (unsigned)sc->count_low & (SPH_BLEN - 1U); -#endif -#ifdef PW01 - sc->buf[current ++] = (0x100 | (ub & 0xFF)) >> (8 - n); -#else - { - unsigned z; - - z = 0x80 >> n; - sc->buf[current ++] = ((ub & -z) | z) & 0xFF; - } -#endif - if (current > SPH_MAXPAD) { - memset(sc->buf + current, 0, SPH_BLEN - current); - RFUN(sc->buf, SPH_VAL); - memset(sc->buf, 0, SPH_MAXPAD); - } else { - memset(sc->buf + current, 0, SPH_MAXPAD - current); - } -#if defined BE64 -#if defined PLW1 - sph_enc64be_aligned(sc->buf + SPH_MAXPAD, - SPH_T64(sc->count << 3) + (sph_u64)n); -#elif defined PLW4 - memset(sc->buf + SPH_MAXPAD, 0, 2 * SPH_WLEN); - sph_enc64be_aligned(sc->buf + SPH_MAXPAD + 2 * SPH_WLEN, - sc->count >> 61); - sph_enc64be_aligned(sc->buf + SPH_MAXPAD + 3 * SPH_WLEN, - SPH_T64(sc->count << 3) + (sph_u64)n); -#else - sph_enc64be_aligned(sc->buf + SPH_MAXPAD, sc->count >> 61); - sph_enc64be_aligned(sc->buf + SPH_MAXPAD + SPH_WLEN, - SPH_T64(sc->count << 3) + (sph_u64)n); -#endif -#elif defined LE64 -#if defined PLW1 - sph_enc64le_aligned(sc->buf + SPH_MAXPAD, - SPH_T64(sc->count << 3) + (sph_u64)n); -#elif defined PLW1 - sph_enc64le_aligned(sc->buf + SPH_MAXPAD, - SPH_T64(sc->count << 3) + (sph_u64)n); - sph_enc64le_aligned(sc->buf + SPH_MAXPAD + SPH_WLEN, sc->count >> 61); - memset(sc->buf + SPH_MAXPAD + 2 * SPH_WLEN, 0, 2 * SPH_WLEN); -#else - sph_enc64le_aligned(sc->buf + SPH_MAXPAD, - SPH_T64(sc->count << 3) + (sph_u64)n); - sph_enc64le_aligned(sc->buf + SPH_MAXPAD + SPH_WLEN, sc->count >> 61); -#endif -#else -#if SPH_64 -#ifdef BE32 - sph_enc64be_aligned(sc->buf + SPH_MAXPAD, - SPH_T64(sc->count << 3) + (sph_u64)n); -#else - sph_enc64le_aligned(sc->buf + SPH_MAXPAD, - SPH_T64(sc->count << 3) + (sph_u64)n); -#endif -#else - low = sc->count_low; - high = SPH_T32((sc->count_high << 3) | (low >> 29)); - low = SPH_T32(low << 3) + (sph_u32)n; -#ifdef BE32 - sph_enc32be(sc->buf + SPH_MAXPAD, high); - sph_enc32be(sc->buf + SPH_MAXPAD + SPH_WLEN, low); -#else - sph_enc32le(sc->buf + SPH_MAXPAD, low); - sph_enc32le(sc->buf + SPH_MAXPAD + SPH_WLEN, high); -#endif -#endif -#endif - RFUN(sc->buf, SPH_VAL); -#ifdef SPH_NO_OUTPUT - (void)dst; - (void)rnum; - (void)u; -#else - for (u = 0; u < rnum; u ++) { -#if defined BE64 - sph_enc64be((unsigned char *)dst + 8 * u, sc->val[u]); -#elif defined LE64 - sph_enc64le((unsigned char *)dst + 8 * u, sc->val[u]); -#elif defined BE32 - sph_enc32be((unsigned char *)dst + 4 * u, sc->val[u]); -#else - sph_enc32le((unsigned char *)dst + 4 * u, sc->val[u]); -#endif - } -#endif -} - -static void -SPH_XCAT(HASH, _close)(void *cc, void *dst, unsigned rnum) -{ - SPH_XCAT(HASH, _addbits_and_close)(cc, 0, 0, dst, rnum); -} diff --git a/native/ed25519/sha512/sha2big.c b/native/ed25519/sha512/sha2big.c deleted file mode 100644 index a6992233a..000000000 --- a/native/ed25519/sha512/sha2big.c +++ /dev/null @@ -1,247 +0,0 @@ -/* $Id: sha2big.c 216 2010-06-08 09:46:57Z tp $ */ -/* - * SHA-384 / SHA-512 implementation. - * - * ==========================(LICENSE BEGIN)============================ - * - * Copyright (c) 2007-2010 Projet RNRT SAPHIR - * - * 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. - * - * ===========================(LICENSE END)============================= - * - * @author Thomas Pornin - */ - -#include -#include - -#include "sph_sha2.h" - -#if SPH_64 - -#define CH(X, Y, Z) ((((Y) ^ (Z)) & (X)) ^ (Z)) -#define MAJ(X, Y, Z) (((X) & (Y)) | (((X) | (Y)) & (Z))) - -#define ROTR64 SPH_ROTR64 - -#define BSG5_0(x) (ROTR64(x, 28) ^ ROTR64(x, 34) ^ ROTR64(x, 39)) -#define BSG5_1(x) (ROTR64(x, 14) ^ ROTR64(x, 18) ^ ROTR64(x, 41)) -#define SSG5_0(x) (ROTR64(x, 1) ^ ROTR64(x, 8) ^ SPH_T64((x) >> 7)) -#define SSG5_1(x) (ROTR64(x, 19) ^ ROTR64(x, 61) ^ SPH_T64((x) >> 6)) - -static const sph_u64 K512[80] = { - SPH_C64(0x428A2F98D728AE22), SPH_C64(0x7137449123EF65CD), - SPH_C64(0xB5C0FBCFEC4D3B2F), SPH_C64(0xE9B5DBA58189DBBC), - SPH_C64(0x3956C25BF348B538), SPH_C64(0x59F111F1B605D019), - SPH_C64(0x923F82A4AF194F9B), SPH_C64(0xAB1C5ED5DA6D8118), - SPH_C64(0xD807AA98A3030242), SPH_C64(0x12835B0145706FBE), - SPH_C64(0x243185BE4EE4B28C), SPH_C64(0x550C7DC3D5FFB4E2), - SPH_C64(0x72BE5D74F27B896F), SPH_C64(0x80DEB1FE3B1696B1), - SPH_C64(0x9BDC06A725C71235), SPH_C64(0xC19BF174CF692694), - SPH_C64(0xE49B69C19EF14AD2), SPH_C64(0xEFBE4786384F25E3), - SPH_C64(0x0FC19DC68B8CD5B5), SPH_C64(0x240CA1CC77AC9C65), - SPH_C64(0x2DE92C6F592B0275), SPH_C64(0x4A7484AA6EA6E483), - SPH_C64(0x5CB0A9DCBD41FBD4), SPH_C64(0x76F988DA831153B5), - SPH_C64(0x983E5152EE66DFAB), SPH_C64(0xA831C66D2DB43210), - SPH_C64(0xB00327C898FB213F), SPH_C64(0xBF597FC7BEEF0EE4), - SPH_C64(0xC6E00BF33DA88FC2), SPH_C64(0xD5A79147930AA725), - SPH_C64(0x06CA6351E003826F), SPH_C64(0x142929670A0E6E70), - SPH_C64(0x27B70A8546D22FFC), SPH_C64(0x2E1B21385C26C926), - SPH_C64(0x4D2C6DFC5AC42AED), SPH_C64(0x53380D139D95B3DF), - SPH_C64(0x650A73548BAF63DE), SPH_C64(0x766A0ABB3C77B2A8), - SPH_C64(0x81C2C92E47EDAEE6), SPH_C64(0x92722C851482353B), - SPH_C64(0xA2BFE8A14CF10364), SPH_C64(0xA81A664BBC423001), - SPH_C64(0xC24B8B70D0F89791), SPH_C64(0xC76C51A30654BE30), - SPH_C64(0xD192E819D6EF5218), SPH_C64(0xD69906245565A910), - SPH_C64(0xF40E35855771202A), SPH_C64(0x106AA07032BBD1B8), - SPH_C64(0x19A4C116B8D2D0C8), SPH_C64(0x1E376C085141AB53), - SPH_C64(0x2748774CDF8EEB99), SPH_C64(0x34B0BCB5E19B48A8), - SPH_C64(0x391C0CB3C5C95A63), SPH_C64(0x4ED8AA4AE3418ACB), - SPH_C64(0x5B9CCA4F7763E373), SPH_C64(0x682E6FF3D6B2B8A3), - SPH_C64(0x748F82EE5DEFB2FC), SPH_C64(0x78A5636F43172F60), - SPH_C64(0x84C87814A1F0AB72), SPH_C64(0x8CC702081A6439EC), - SPH_C64(0x90BEFFFA23631E28), SPH_C64(0xA4506CEBDE82BDE9), - SPH_C64(0xBEF9A3F7B2C67915), SPH_C64(0xC67178F2E372532B), - SPH_C64(0xCA273ECEEA26619C), SPH_C64(0xD186B8C721C0C207), - SPH_C64(0xEADA7DD6CDE0EB1E), SPH_C64(0xF57D4F7FEE6ED178), - SPH_C64(0x06F067AA72176FBA), SPH_C64(0x0A637DC5A2C898A6), - SPH_C64(0x113F9804BEF90DAE), SPH_C64(0x1B710B35131C471B), - SPH_C64(0x28DB77F523047D84), SPH_C64(0x32CAAB7B40C72493), - SPH_C64(0x3C9EBE0A15C9BEBC), SPH_C64(0x431D67C49C100D4C), - SPH_C64(0x4CC5D4BECB3E42B6), SPH_C64(0x597F299CFC657E2A), - SPH_C64(0x5FCB6FAB3AD6FAEC), SPH_C64(0x6C44198C4A475817) -}; - -static const sph_u64 H384[8] = { - SPH_C64(0xCBBB9D5DC1059ED8), SPH_C64(0x629A292A367CD507), - SPH_C64(0x9159015A3070DD17), SPH_C64(0x152FECD8F70E5939), - SPH_C64(0x67332667FFC00B31), SPH_C64(0x8EB44A8768581511), - SPH_C64(0xDB0C2E0D64F98FA7), SPH_C64(0x47B5481DBEFA4FA4) -}; - -static const sph_u64 H512[8] = { - SPH_C64(0x6A09E667F3BCC908), SPH_C64(0xBB67AE8584CAA73B), - SPH_C64(0x3C6EF372FE94F82B), SPH_C64(0xA54FF53A5F1D36F1), - SPH_C64(0x510E527FADE682D1), SPH_C64(0x9B05688C2B3E6C1F), - SPH_C64(0x1F83D9ABFB41BD6B), SPH_C64(0x5BE0CD19137E2179) -}; - -/* - * This macro defines the body for a SHA-384 / SHA-512 compression function - * implementation. The "in" parameter should evaluate, when applied to a - * numerical input parameter from 0 to 15, to an expression which yields - * the corresponding input block. The "r" parameter should evaluate to - * an array or pointer expression designating the array of 8 words which - * contains the input and output of the compression function. - * - * SHA-512 is hard for the compiler. If the loop is completely unrolled, - * then the code will be quite huge (possibly more than 100 kB), and the - * performance will be degraded due to cache misses on the code. We - * unroll only eight steps, which avoids all needless copies when - * 64-bit registers are swapped. - */ - -#define SHA3_STEP(A, B, C, D, E, F, G, H, i) do { \ - sph_u64 T1, T2; \ - T1 = SPH_T64(H + BSG5_1(E) + CH(E, F, G) + K512[i] + W[i]); \ - T2 = SPH_T64(BSG5_0(A) + MAJ(A, B, C)); \ - D = SPH_T64(D + T1); \ - H = SPH_T64(T1 + T2); \ - } while (0) - -#define SHA3_ROUND_BODY(in, r) do { \ - int i; \ - sph_u64 A, B, C, D, E, F, G, H; \ - sph_u64 W[80]; \ - \ - for (i = 0; i < 16; i ++) \ - W[i] = in(i); \ - for (i = 16; i < 80; i ++) \ - W[i] = SPH_T64(SSG5_1(W[i - 2]) + W[i - 7] \ - + SSG5_0(W[i - 15]) + W[i - 16]); \ - A = (r)[0]; \ - B = (r)[1]; \ - C = (r)[2]; \ - D = (r)[3]; \ - E = (r)[4]; \ - F = (r)[5]; \ - G = (r)[6]; \ - H = (r)[7]; \ - for (i = 0; i < 80; i += 8) { \ - SHA3_STEP(A, B, C, D, E, F, G, H, i + 0); \ - SHA3_STEP(H, A, B, C, D, E, F, G, i + 1); \ - SHA3_STEP(G, H, A, B, C, D, E, F, i + 2); \ - SHA3_STEP(F, G, H, A, B, C, D, E, i + 3); \ - SHA3_STEP(E, F, G, H, A, B, C, D, i + 4); \ - SHA3_STEP(D, E, F, G, H, A, B, C, i + 5); \ - SHA3_STEP(C, D, E, F, G, H, A, B, i + 6); \ - SHA3_STEP(B, C, D, E, F, G, H, A, i + 7); \ - } \ - (r)[0] = SPH_T64((r)[0] + A); \ - (r)[1] = SPH_T64((r)[1] + B); \ - (r)[2] = SPH_T64((r)[2] + C); \ - (r)[3] = SPH_T64((r)[3] + D); \ - (r)[4] = SPH_T64((r)[4] + E); \ - (r)[5] = SPH_T64((r)[5] + F); \ - (r)[6] = SPH_T64((r)[6] + G); \ - (r)[7] = SPH_T64((r)[7] + H); \ - } while (0) - -/* - * One round of SHA-384 / SHA-512. The data must be aligned for 64-bit access. - */ -static void -sha3_round(const unsigned char *data, sph_u64 r[8]) -{ -#define SHA3_IN(x) sph_dec64be_aligned(data + (8 * (x))) - SHA3_ROUND_BODY(SHA3_IN, r); -#undef SHA3_IN -} - -/* see sph_sha3.h */ -void -sph_sha384_init(void *cc) -{ - sph_sha384_context *sc; - - sc = cc; - memcpy(sc->val, H384, sizeof H384); - sc->count = 0; -} - -/* see sph_sha3.h */ -void -sph_sha512_init(void *cc) -{ - sph_sha512_context *sc; - - sc = cc; - memcpy(sc->val, H512, sizeof H512); - sc->count = 0; -} - -#define RFUN sha3_round -#define HASH sha384 -#define BE64 1 -#include "md_helper.c" - -/* see sph_sha3.h */ -void -sph_sha384_close(void *cc, void *dst) -{ - sha384_close(cc, dst, 6); - sph_sha384_init(cc); -} - -/* see sph_sha3.h */ -void -sph_sha384_addbits_and_close(void *cc, unsigned ub, unsigned n, void *dst) -{ - sha384_addbits_and_close(cc, ub, n, dst, 6); - sph_sha384_init(cc); -} - -/* see sph_sha3.h */ -void -sph_sha512_close(void *cc, void *dst) -{ - sha384_close(cc, dst, 8); - sph_sha512_init(cc); -} - -/* see sph_sha3.h */ -void -sph_sha512_addbits_and_close(void *cc, unsigned ub, unsigned n, void *dst) -{ - sha384_addbits_and_close(cc, ub, n, dst, 8); - sph_sha512_init(cc); -} - -/* see sph_sha3.h */ -void -sph_sha384_comp(const sph_u64 msg[16], sph_u64 val[8]) -{ -#define SHA3_IN(x) msg[x] - SHA3_ROUND_BODY(SHA3_IN, val); -#undef SHA3_IN -} - -#endif diff --git a/native/ed25519/sha512/sph_sha2.h b/native/ed25519/sha512/sph_sha2.h deleted file mode 100644 index d5bda731a..000000000 --- a/native/ed25519/sha512/sph_sha2.h +++ /dev/null @@ -1,370 +0,0 @@ -/* $Id: sph_sha2.h 216 2010-06-08 09:46:57Z tp $ */ -/** - * SHA-224, SHA-256, SHA-384 and SHA-512 interface. - * - * SHA-256 has been published in FIPS 180-2, now amended with a change - * notice to include SHA-224 as well (which is a simple variation on - * SHA-256). SHA-384 and SHA-512 are also defined in FIPS 180-2. FIPS - * standards can be found at: - * http://csrc.nist.gov/publications/fips/ - * - * ==========================(LICENSE BEGIN)============================ - * - * Copyright (c) 2007-2010 Projet RNRT SAPHIR - * - * 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. - * - * ===========================(LICENSE END)============================= - * - * @file sph_sha2.h - * @author Thomas Pornin - */ - -#ifndef SPH_SHA2_H__ -#define SPH_SHA2_H__ - -#include -#include "sph_types.h" - -/** - * Output size (in bits) for SHA-224. - */ -#define SPH_SIZE_sha224 224 - -/** - * Output size (in bits) for SHA-256. - */ -#define SPH_SIZE_sha256 256 - -/** - * This structure is a context for SHA-224 computations: it contains the - * intermediate values and some data from the last entered block. Once - * a SHA-224 computation has been performed, the context can be reused for - * another computation. - * - * The contents of this structure are private. A running SHA-224 computation - * can be cloned by copying the context (e.g. with a simple - * memcpy()). - */ -typedef struct { -#ifndef DOXYGEN_IGNORE - unsigned char buf[64]; /* first field, for alignment */ - sph_u32 val[8]; -#if SPH_64 - sph_u64 count; -#else - sph_u32 count_high, count_low; -#endif -#endif -} sph_sha224_context; - -/** - * This structure is a context for SHA-256 computations. It is identical - * to the SHA-224 context. However, a context is initialized for SHA-224 - * or SHA-256, but not both (the internal IV is not the - * same). - */ -typedef sph_sha224_context sph_sha256_context; - -/** - * Initialize a SHA-224 context. This process performs no memory allocation. - * - * @param cc the SHA-224 context (pointer to - * a sph_sha224_context) - */ -void sph_sha224_init(void *cc); - -/** - * Process some data bytes. It is acceptable that len is zero - * (in which case this function does nothing). - * - * @param cc the SHA-224 context - * @param data the input data - * @param len the input data length (in bytes) - */ -void sph_sha224(void *cc, const void *data, size_t len); - -/** - * Terminate the current SHA-224 computation and output the result into the - * provided buffer. The destination buffer must be wide enough to - * accomodate the result (28 bytes). The context is automatically - * reinitialized. - * - * @param cc the SHA-224 context - * @param dst the destination buffer - */ -void sph_sha224_close(void *cc, void *dst); - -/** - * Add a few additional bits (0 to 7) to the current computation, then - * terminate it and output the result in the provided buffer, which must - * be wide enough to accomodate the result (28 bytes). If bit number i - * in ub has value 2^i, then the extra bits are those - * numbered 7 downto 8-n (this is the big-endian convention at the byte - * level). The context is automatically reinitialized. - * - * @param cc the SHA-224 context - * @param ub the extra bits - * @param n the number of extra bits (0 to 7) - * @param dst the destination buffer - */ -void sph_sha224_addbits_and_close(void *cc, unsigned ub, unsigned n, void *dst); - -/** - * Apply the SHA-224 compression function on the provided data. The - * msg parameter contains the 16 32-bit input blocks, - * as numerical values (hence after the big-endian decoding). The - * val parameter contains the 8 32-bit input blocks for - * the compression function; the output is written in place in this - * array. - * - * @param msg the message block (16 values) - * @param val the function 256-bit input and output - */ -void sph_sha224_comp(const sph_u32 msg[16], sph_u32 val[8]); - -/** - * Initialize a SHA-256 context. This process performs no memory allocation. - * - * @param cc the SHA-256 context (pointer to - * a sph_sha256_context) - */ -void sph_sha256_init(void *cc); - -#ifdef DOXYGEN_IGNORE -/** - * Process some data bytes, for SHA-256. This function is identical to - * sha_224() - * - * @param cc the SHA-224 context - * @param data the input data - * @param len the input data length (in bytes) - */ -void sph_sha256(void *cc, const void *data, size_t len); -#endif - -#ifndef DOXYGEN_IGNORE -#define sph_sha256 sph_sha224 -#endif - -/** - * Terminate the current SHA-256 computation and output the result into the - * provided buffer. The destination buffer must be wide enough to - * accomodate the result (32 bytes). The context is automatically - * reinitialized. - * - * @param cc the SHA-256 context - * @param dst the destination buffer - */ -void sph_sha256_close(void *cc, void *dst); - -/** - * Add a few additional bits (0 to 7) to the current computation, then - * terminate it and output the result in the provided buffer, which must - * be wide enough to accomodate the result (32 bytes). If bit number i - * in ub has value 2^i, then the extra bits are those - * numbered 7 downto 8-n (this is the big-endian convention at the byte - * level). The context is automatically reinitialized. - * - * @param cc the SHA-256 context - * @param ub the extra bits - * @param n the number of extra bits (0 to 7) - * @param dst the destination buffer - */ -void sph_sha256_addbits_and_close(void *cc, unsigned ub, unsigned n, void *dst); - -#ifdef DOXYGEN_IGNORE -/** - * Apply the SHA-256 compression function on the provided data. This - * function is identical to sha224_comp(). - * - * @param msg the message block (16 values) - * @param val the function 256-bit input and output - */ -void sph_sha256_comp(const sph_u32 msg[16], sph_u32 val[8]); -#endif - -#ifndef DOXYGEN_IGNORE -#define sph_sha256_comp sph_sha224_comp -#endif - -#if SPH_64 - -/** - * Output size (in bits) for SHA-384. - */ -#define SPH_SIZE_sha384 384 - -/** - * Output size (in bits) for SHA-512. - */ -#define SPH_SIZE_sha512 512 - -/** - * This structure is a context for SHA-384 computations: it contains the - * intermediate values and some data from the last entered block. Once - * a SHA-384 computation has been performed, the context can be reused for - * another computation. - * - * The contents of this structure are private. A running SHA-384 computation - * can be cloned by copying the context (e.g. with a simple - * memcpy()). - */ -typedef struct { -#ifndef DOXYGEN_IGNORE - unsigned char buf[128]; /* first field, for alignment */ - sph_u64 val[8]; - sph_u64 count; -#endif -} sph_sha384_context; - -/** - * Initialize a SHA-384 context. This process performs no memory allocation. - * - * @param cc the SHA-384 context (pointer to - * a sph_sha384_context) - */ -void sph_sha384_init(void *cc); - -/** - * Process some data bytes. It is acceptable that len is zero - * (in which case this function does nothing). - * - * @param cc the SHA-384 context - * @param data the input data - * @param len the input data length (in bytes) - */ -void sph_sha384(void *cc, const void *data, size_t len); - -/** - * Terminate the current SHA-384 computation and output the result into the - * provided buffer. The destination buffer must be wide enough to - * accomodate the result (48 bytes). The context is automatically - * reinitialized. - * - * @param cc the SHA-384 context - * @param dst the destination buffer - */ -void sph_sha384_close(void *cc, void *dst); - -/** - * Add a few additional bits (0 to 7) to the current computation, then - * terminate it and output the result in the provided buffer, which must - * be wide enough to accomodate the result (48 bytes). If bit number i - * in ub has value 2^i, then the extra bits are those - * numbered 7 downto 8-n (this is the big-endian convention at the byte - * level). The context is automatically reinitialized. - * - * @param cc the SHA-384 context - * @param ub the extra bits - * @param n the number of extra bits (0 to 7) - * @param dst the destination buffer - */ -void sph_sha384_addbits_and_close(void *cc, unsigned ub, unsigned n, void *dst); - -/** - * Apply the SHA-384 compression function on the provided data. The - * msg parameter contains the 16 64-bit input blocks, - * as numerical values (hence after the big-endian decoding). The - * val parameter contains the 8 64-bit input blocks for - * the compression function; the output is written in place in this - * array. - * - * @param msg the message block (16 values) - * @param val the function 512-bit input and output - */ -void sph_sha384_comp(const sph_u64 msg[16], sph_u64 val[8]); - -/** - * This structure is a context for SHA-512 computations. It is identical - * to the SHA-384 context. However, a context is initialized for SHA-384 - * or SHA-512, but not both (the internal IV is not the - * same). - */ -typedef sph_sha384_context sph_sha512_context; - -/** - * Initialize a SHA-512 context. This process performs no memory allocation. - * - * @param cc the SHA-512 context (pointer to - * a sph_sha512_context) - */ -void sph_sha512_init(void *cc); - -#ifdef DOXYGEN_IGNORE -/** - * Process some data bytes, for SHA-512. This function is identical to - * sph_sha384(). - * - * @param cc the SHA-384 context - * @param data the input data - * @param len the input data length (in bytes) - */ -void sph_sha512(void *cc, const void *data, size_t len); -#endif - -#ifndef DOXYGEN_IGNORE -#define sph_sha512 sph_sha384 -#endif - -/** - * Terminate the current SHA-512 computation and output the result into the - * provided buffer. The destination buffer must be wide enough to - * accomodate the result (64 bytes). The context is automatically - * reinitialized. - * - * @param cc the SHA-512 context - * @param dst the destination buffer - */ -void sph_sha512_close(void *cc, void *dst); - -/** - * Add a few additional bits (0 to 7) to the current computation, then - * terminate it and output the result in the provided buffer, which must - * be wide enough to accomodate the result (64 bytes). If bit number i - * in ub has value 2^i, then the extra bits are those - * numbered 7 downto 8-n (this is the big-endian convention at the byte - * level). The context is automatically reinitialized. - * - * @param cc the SHA-512 context - * @param ub the extra bits - * @param n the number of extra bits (0 to 7) - * @param dst the destination buffer - */ -void sph_sha512_addbits_and_close(void *cc, unsigned ub, unsigned n, void *dst); - -#ifdef DOXYGEN_IGNORE -/** - * Apply the SHA-512 compression function. This function is identical to - * sph_sha384_comp(). - * - * @param msg the message block (16 values) - * @param val the function 512-bit input and output - */ -void sph_sha512_comp(const sph_u64 msg[16], sph_u64 val[8]); -#endif - -#ifndef DOXYGEN_IGNORE -#define sph_sha512_comp sph_sha384_comp -#endif - -#endif - -#endif diff --git a/native/ed25519/sha512/sph_types.h b/native/ed25519/sha512/sph_types.h deleted file mode 100644 index 7295b0b37..000000000 --- a/native/ed25519/sha512/sph_types.h +++ /dev/null @@ -1,1976 +0,0 @@ -/* $Id: sph_types.h 260 2011-07-21 01:02:38Z tp $ */ -/** - * Basic type definitions. - * - * This header file defines the generic integer types that will be used - * for the implementation of hash functions; it also contains helper - * functions which encode and decode multi-byte integer values, using - * either little-endian or big-endian conventions. - * - * This file contains a compile-time test on the size of a byte - * (the unsigned char C type). If bytes are not octets, - * i.e. if they do not have a size of exactly 8 bits, then compilation - * is aborted. Architectures where bytes are not octets are relatively - * rare, even in the embedded devices market. We forbid non-octet bytes - * because there is no clear convention on how octet streams are encoded - * on such systems. - * - * ==========================(LICENSE BEGIN)============================ - * - * Copyright (c) 2007-2010 Projet RNRT SAPHIR - * - * 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. - * - * ===========================(LICENSE END)============================= - * - * @file sph_types.h - * @author Thomas Pornin - */ - -#ifndef SPH_TYPES_H__ -#define SPH_TYPES_H__ - -#include - -/* - * All our I/O functions are defined over octet streams. We do not know - * how to handle input data if bytes are not octets. - */ -#if CHAR_BIT != 8 -#error This code requires 8-bit bytes -#endif - -/* ============= BEGIN documentation block for Doxygen ============ */ - -#ifdef DOXYGEN_IGNORE - -/** @mainpage sphlib C code documentation - * - * @section overview Overview - * - * sphlib is a library which contains implementations of - * various cryptographic hash functions. These pages have been generated - * with doxygen and - * document the API for the C implementations. - * - * The API is described in appropriate header files, which are available - * in the "Files" section. Each hash function family has its own header, - * whose name begins with "sph_" and contains the family - * name. For instance, the API for the RIPEMD hash functions is available - * in the header file sph_ripemd.h. - * - * @section principles API structure and conventions - * - * @subsection io Input/output conventions - * - * In all generality, hash functions operate over strings of bits. - * Individual bits are rarely encountered in C programming or actual - * communication protocols; most protocols converge on the ubiquitous - * "octet" which is a group of eight bits. Data is thus expressed as a - * stream of octets. The C programming language contains the notion of a - * "byte", which is a data unit managed under the type "unsigned - * char". The C standard prescribes that a byte should hold at - * least eight bits, but possibly more. Most modern architectures, even - * in the embedded world, feature eight-bit bytes, i.e. map bytes to - * octets. - * - * Nevertheless, for some of the implemented hash functions, an extra - * API has been added, which allows the input of arbitrary sequences of - * bits: when the computation is about to be closed, 1 to 7 extra bits - * can be added. The functions for which this API is implemented include - * the SHA-2 functions and all SHA-3 candidates. - * - * sphlib defines hash function which may hash octet streams, - * i.e. streams of bits where the number of bits is a multiple of eight. - * The data input functions in the sphlib API expect data - * as anonymous pointers ("const void *") with a length - * (of type "size_t") which gives the input data chunk length - * in bytes. A byte is assumed to be an octet; the sph_types.h - * header contains a compile-time test which prevents compilation on - * architectures where this property is not met. - * - * The hash function output is also converted into bytes. All currently - * implemented hash functions have an output width which is a multiple of - * eight, and this is likely to remain true for new designs. - * - * Most hash functions internally convert input data into 32-bit of 64-bit - * words, using either little-endian or big-endian conversion. The hash - * output also often consists of such words, which are encoded into output - * bytes with a similar endianness convention. Some hash functions have - * been only loosely specified on that subject; when necessary, - * sphlib has been tested against published "reference" - * implementations in order to use the same conventions. - * - * @subsection shortname Function short name - * - * Each implemented hash function has a "short name" which is used - * internally to derive the identifiers for the functions and context - * structures which the function uses. For instance, MD5 has the short - * name "md5". Short names are listed in the next section, - * for the implemented hash functions. In subsequent sections, the - * short name will be assumed to be "XXX": replace with the - * actual hash function name to get the C identifier. - * - * Note: some functions within the same family share the same core - * elements, such as update function or context structure. Correspondingly, - * some of the defined types or functions may actually be macros which - * transparently evaluate to another type or function name. - * - * @subsection context Context structure - * - * Each implemented hash fonction has its own context structure, available - * under the type name "sph_XXX_context" for the hash function - * with short name "XXX". This structure holds all needed - * state for a running hash computation. - * - * The contents of these structures are meant to be opaque, and private - * to the implementation. However, these contents are specified in the - * header files so that application code which uses sphlib - * may access the size of those structures. - * - * The caller is responsible for allocating the context structure, - * whether by dynamic allocation (malloc() or equivalent), - * static allocation (a global permanent variable), as an automatic - * variable ("on the stack"), or by any other mean which ensures proper - * structure alignment. sphlib code performs no dynamic - * allocation by itself. - * - * The context must be initialized before use, using the - * sph_XXX_init() function. This function sets the context - * state to proper initial values for hashing. - * - * Since all state data is contained within the context structure, - * sphlib is thread-safe and reentrant: several hash - * computations may be performed in parallel, provided that they do not - * operate on the same context. Moreover, a running computation can be - * cloned by copying the context (with a simple memcpy()): - * the context and its clone are then independant and may be updated - * with new data and/or closed without interfering with each other. - * Similarly, a context structure can be moved in memory at will: - * context structures contain no pointer, in particular no pointer to - * themselves. - * - * @subsection dataio Data input - * - * Hashed data is input with the sph_XXX() fonction, which - * takes as parameters a pointer to the context, a pointer to the data - * to hash, and the number of data bytes to hash. The context is updated - * with the new data. - * - * Data can be input in one or several calls, with arbitrary input lengths. - * However, it is best, performance wise, to input data by relatively big - * chunks (say a few kilobytes), because this allows sphlib to - * optimize things and avoid internal copying. - * - * When all data has been input, the context can be closed with - * sph_XXX_close(). The hash output is computed and written - * into the provided buffer. The caller must take care to provide a - * buffer of appropriate length; e.g., when using SHA-1, the output is - * a 20-byte word, therefore the output buffer must be at least 20-byte - * long. - * - * For some hash functions, the sph_XXX_addbits_and_close() - * function can be used instead of sph_XXX_close(). This - * function can take a few extra bits to be added at - * the end of the input message. This allows hashing messages with a - * bit length which is not a multiple of 8. The extra bits are provided - * as an unsigned integer value, and a bit count. The bit count must be - * between 0 and 7, inclusive. The extra bits are provided as bits 7 to - * 0 (bits of numerical value 128, 64, 32... downto 0), in that order. - * For instance, to add three bits of value 1, 1 and 0, the unsigned - * integer will have value 192 (1*128 + 1*64 + 0*32) and the bit count - * will be 3. - * - * The SPH_SIZE_XXX macro is defined for each hash function; - * it evaluates to the function output size, expressed in bits. For instance, - * SPH_SIZE_sha1 evaluates to 160. - * - * When closed, the context is automatically reinitialized and can be - * immediately used for another computation. It is not necessary to call - * sph_XXX_init() after a close. Note that - * sph_XXX_init() can still be called to "reset" a context, - * i.e. forget previously input data, and get back to the initial state. - * - * @subsection alignment Data alignment - * - * "Alignment" is a property of data, which is said to be "properly - * aligned" when its emplacement in memory is such that the data can - * be optimally read by full words. This depends on the type of access; - * basically, some hash functions will read data by 32-bit or 64-bit - * words. sphlib does not mandate such alignment for input - * data, but using aligned data can substantially improve performance. - * - * As a rule, it is best to input data by chunks whose length (in bytes) - * is a multiple of eight, and which begins at "generally aligned" - * addresses, such as the base address returned by a call to - * malloc(). - * - * @section functions Implemented functions - * - * We give here the list of implemented functions. They are grouped by - * family; to each family corresponds a specific header file. Each - * individual function has its associated "short name". Please refer to - * the documentation for that header file to get details on the hash - * function denomination and provenance. - * - * Note: the functions marked with a '(64)' in the list below are - * available only if the C compiler provides an integer type of length - * 64 bits or more. Such a type is mandatory in the latest C standard - * (ISO 9899:1999, aka "C99") and is present in several older compilers - * as well, so chances are that such a type is available. - * - * - HAVAL family: file sph_haval.h - * - HAVAL-128/3 (128-bit, 3 passes): short name: haval128_3 - * - HAVAL-128/4 (128-bit, 4 passes): short name: haval128_4 - * - HAVAL-128/5 (128-bit, 5 passes): short name: haval128_5 - * - HAVAL-160/3 (160-bit, 3 passes): short name: haval160_3 - * - HAVAL-160/4 (160-bit, 4 passes): short name: haval160_4 - * - HAVAL-160/5 (160-bit, 5 passes): short name: haval160_5 - * - HAVAL-192/3 (192-bit, 3 passes): short name: haval192_3 - * - HAVAL-192/4 (192-bit, 4 passes): short name: haval192_4 - * - HAVAL-192/5 (192-bit, 5 passes): short name: haval192_5 - * - HAVAL-224/3 (224-bit, 3 passes): short name: haval224_3 - * - HAVAL-224/4 (224-bit, 4 passes): short name: haval224_4 - * - HAVAL-224/5 (224-bit, 5 passes): short name: haval224_5 - * - HAVAL-256/3 (256-bit, 3 passes): short name: haval256_3 - * - HAVAL-256/4 (256-bit, 4 passes): short name: haval256_4 - * - HAVAL-256/5 (256-bit, 5 passes): short name: haval256_5 - * - MD2: file sph_md2.h, short name: md2 - * - MD4: file sph_md4.h, short name: md4 - * - MD5: file sph_md5.h, short name: md5 - * - PANAMA: file sph_panama.h, short name: panama - * - RadioGatun family: file sph_radiogatun.h - * - RadioGatun[32]: short name: radiogatun32 - * - RadioGatun[64]: short name: radiogatun64 (64) - * - RIPEMD family: file sph_ripemd.h - * - RIPEMD: short name: ripemd - * - RIPEMD-128: short name: ripemd128 - * - RIPEMD-160: short name: ripemd160 - * - SHA-0: file sph_sha0.h, short name: sha0 - * - SHA-1: file sph_sha1.h, short name: sha1 - * - SHA-2 family, 32-bit hashes: file sph_sha2.h - * - SHA-224: short name: sha224 - * - SHA-256: short name: sha256 - * - SHA-384: short name: sha384 (64) - * - SHA-512: short name: sha512 (64) - * - Tiger family: file sph_tiger.h - * - Tiger: short name: tiger (64) - * - Tiger2: short name: tiger2 (64) - * - WHIRLPOOL family: file sph_whirlpool.h - * - WHIRLPOOL-0: short name: whirlpool0 (64) - * - WHIRLPOOL-1: short name: whirlpool1 (64) - * - WHIRLPOOL: short name: whirlpool (64) - * - * The fourteen second-round SHA-3 candidates are also implemented; - * when applicable, the implementations follow the "final" specifications - * as published for the third round of the SHA-3 competition (BLAKE, - * Groestl, JH, Keccak and Skein have been tweaked for third round). - * - * - BLAKE family: file sph_blake.h - * - BLAKE-224: short name: blake224 - * - BLAKE-256: short name: blake256 - * - BLAKE-384: short name: blake384 - * - BLAKE-512: short name: blake512 - * - BMW (Blue Midnight Wish) family: file sph_bmw.h - * - BMW-224: short name: bmw224 - * - BMW-256: short name: bmw256 - * - BMW-384: short name: bmw384 (64) - * - BMW-512: short name: bmw512 (64) - * - CubeHash family: file sph_cubehash.h (specified as - * CubeHash16/32 in the CubeHash specification) - * - CubeHash-224: short name: cubehash224 - * - CubeHash-256: short name: cubehash256 - * - CubeHash-384: short name: cubehash384 - * - CubeHash-512: short name: cubehash512 - * - ECHO family: file sph_echo.h - * - ECHO-224: short name: echo224 - * - ECHO-256: short name: echo256 - * - ECHO-384: short name: echo384 - * - ECHO-512: short name: echo512 - * - Fugue family: file sph_fugue.h - * - Fugue-224: short name: fugue224 - * - Fugue-256: short name: fugue256 - * - Fugue-384: short name: fugue384 - * - Fugue-512: short name: fugue512 - * - Groestl family: file sph_groestl.h - * - Groestl-224: short name: groestl224 - * - Groestl-256: short name: groestl256 - * - Groestl-384: short name: groestl384 - * - Groestl-512: short name: groestl512 - * - Hamsi family: file sph_hamsi.h - * - Hamsi-224: short name: hamsi224 - * - Hamsi-256: short name: hamsi256 - * - Hamsi-384: short name: hamsi384 - * - Hamsi-512: short name: hamsi512 - * - JH family: file sph_jh.h - * - JH-224: short name: jh224 - * - JH-256: short name: jh256 - * - JH-384: short name: jh384 - * - JH-512: short name: jh512 - * - Keccak family: file sph_keccak.h - * - Keccak-224: short name: keccak224 - * - Keccak-256: short name: keccak256 - * - Keccak-384: short name: keccak384 - * - Keccak-512: short name: keccak512 - * - Luffa family: file sph_luffa.h - * - Luffa-224: short name: luffa224 - * - Luffa-256: short name: luffa256 - * - Luffa-384: short name: luffa384 - * - Luffa-512: short name: luffa512 - * - Shabal family: file sph_shabal.h - * - Shabal-192: short name: shabal192 - * - Shabal-224: short name: shabal224 - * - Shabal-256: short name: shabal256 - * - Shabal-384: short name: shabal384 - * - Shabal-512: short name: shabal512 - * - SHAvite-3 family: file sph_shavite.h - * - SHAvite-224 (nominally "SHAvite-3 with 224-bit output"): - * short name: shabal224 - * - SHAvite-256 (nominally "SHAvite-3 with 256-bit output"): - * short name: shabal256 - * - SHAvite-384 (nominally "SHAvite-3 with 384-bit output"): - * short name: shabal384 - * - SHAvite-512 (nominally "SHAvite-3 with 512-bit output"): - * short name: shabal512 - * - SIMD family: file sph_simd.h - * - SIMD-224: short name: simd224 - * - SIMD-256: short name: simd256 - * - SIMD-384: short name: simd384 - * - SIMD-512: short name: simd512 - * - Skein family: file sph_skein.h - * - Skein-224 (nominally specified as Skein-512-224): short name: - * skein224 (64) - * - Skein-256 (nominally specified as Skein-512-256): short name: - * skein256 (64) - * - Skein-384 (nominally specified as Skein-512-384): short name: - * skein384 (64) - * - Skein-512 (nominally specified as Skein-512-512): short name: - * skein512 (64) - * - * For the second-round SHA-3 candidates, the functions are as specified - * for round 2, i.e. with the "tweaks" that some candidates added - * between round 1 and round 2. Also, some of the submitted packages for - * round 2 contained errors, in the specification, reference code, or - * both. sphlib implements the corrected versions. - */ - -/** @hideinitializer - * Unsigned integer type whose length is at least 32 bits; on most - * architectures, it will have a width of exactly 32 bits. Unsigned C - * types implement arithmetics modulo a power of 2; use the - * SPH_T32() macro to ensure that the value is truncated - * to exactly 32 bits. Unless otherwise specified, all macros and - * functions which accept sph_u32 values assume that these - * values fit on 32 bits, i.e. do not exceed 2^32-1, even on architectures - * where sph_u32 is larger than that. - */ -typedef __arch_dependant__ sph_u32; - -/** @hideinitializer - * Signed integer type corresponding to sph_u32; it has - * width 32 bits or more. - */ -typedef __arch_dependant__ sph_s32; - -/** @hideinitializer - * Unsigned integer type whose length is at least 64 bits; on most - * architectures which feature such a type, it will have a width of - * exactly 64 bits. C99-compliant platform will have this type; it - * is also defined when the GNU compiler (gcc) is used, and on - * platforms where unsigned long is large enough. If this - * type is not available, then some hash functions which depends on - * a 64-bit type will not be available (most notably SHA-384, SHA-512, - * Tiger and WHIRLPOOL). - */ -typedef __arch_dependant__ sph_u64; - -/** @hideinitializer - * Signed integer type corresponding to sph_u64; it has - * width 64 bits or more. - */ -typedef __arch_dependant__ sph_s64; - -/** - * This macro expands the token x into a suitable - * constant expression of type sph_u32. Depending on - * how this type is defined, a suffix such as UL may - * be appended to the argument. - * - * @param x the token to expand into a suitable constant expression - */ -#define SPH_C32(x) - -/** - * Truncate a 32-bit value to exactly 32 bits. On most systems, this is - * a no-op, recognized as such by the compiler. - * - * @param x the value to truncate (of type sph_u32) - */ -#define SPH_T32(x) - -/** - * Rotate a 32-bit value by a number of bits to the left. The rotate - * count must reside between 1 and 31. This macro assumes that its - * first argument fits in 32 bits (no extra bit allowed on machines where - * sph_u32 is wider); both arguments may be evaluated - * several times. - * - * @param x the value to rotate (of type sph_u32) - * @param n the rotation count (between 1 and 31, inclusive) - */ -#define SPH_ROTL32(x, n) - -/** - * Rotate a 32-bit value by a number of bits to the left. The rotate - * count must reside between 1 and 31. This macro assumes that its - * first argument fits in 32 bits (no extra bit allowed on machines where - * sph_u32 is wider); both arguments may be evaluated - * several times. - * - * @param x the value to rotate (of type sph_u32) - * @param n the rotation count (between 1 and 31, inclusive) - */ -#define SPH_ROTR32(x, n) - -/** - * This macro is defined on systems for which a 64-bit type has been - * detected, and is used for sph_u64. - */ -#define SPH_64 - -/** - * This macro is defined on systems for the "native" integer size is - * 64 bits (64-bit values fit in one register). - */ -#define SPH_64_TRUE - -/** - * This macro expands the token x into a suitable - * constant expression of type sph_u64. Depending on - * how this type is defined, a suffix such as ULL may - * be appended to the argument. This macro is defined only if a - * 64-bit type was detected and used for sph_u64. - * - * @param x the token to expand into a suitable constant expression - */ -#define SPH_C64(x) - -/** - * Truncate a 64-bit value to exactly 64 bits. On most systems, this is - * a no-op, recognized as such by the compiler. This macro is defined only - * if a 64-bit type was detected and used for sph_u64. - * - * @param x the value to truncate (of type sph_u64) - */ -#define SPH_T64(x) - -/** - * Rotate a 64-bit value by a number of bits to the left. The rotate - * count must reside between 1 and 63. This macro assumes that its - * first argument fits in 64 bits (no extra bit allowed on machines where - * sph_u64 is wider); both arguments may be evaluated - * several times. This macro is defined only if a 64-bit type was detected - * and used for sph_u64. - * - * @param x the value to rotate (of type sph_u64) - * @param n the rotation count (between 1 and 63, inclusive) - */ -#define SPH_ROTL64(x, n) - -/** - * Rotate a 64-bit value by a number of bits to the left. The rotate - * count must reside between 1 and 63. This macro assumes that its - * first argument fits in 64 bits (no extra bit allowed on machines where - * sph_u64 is wider); both arguments may be evaluated - * several times. This macro is defined only if a 64-bit type was detected - * and used for sph_u64. - * - * @param x the value to rotate (of type sph_u64) - * @param n the rotation count (between 1 and 63, inclusive) - */ -#define SPH_ROTR64(x, n) - -/** - * This macro evaluates to inline or an equivalent construction, - * if available on the compilation platform, or to nothing otherwise. This - * is used to declare inline functions, for which the compiler should - * endeavour to include the code directly in the caller. Inline functions - * are typically defined in header files as replacement for macros. - */ -#define SPH_INLINE - -/** - * This macro is defined if the platform has been detected as using - * little-endian convention. This implies that the sph_u32 - * type (and the sph_u64 type also, if it is defined) has - * an exact width (i.e. exactly 32-bit, respectively 64-bit). - */ -#define SPH_LITTLE_ENDIAN - -/** - * This macro is defined if the platform has been detected as using - * big-endian convention. This implies that the sph_u32 - * type (and the sph_u64 type also, if it is defined) has - * an exact width (i.e. exactly 32-bit, respectively 64-bit). - */ -#define SPH_BIG_ENDIAN - -/** - * This macro is defined if 32-bit words (and 64-bit words, if defined) - * can be read from and written to memory efficiently in little-endian - * convention. This is the case for little-endian platforms, and also - * for the big-endian platforms which have special little-endian access - * opcodes (e.g. Ultrasparc). - */ -#define SPH_LITTLE_FAST - -/** - * This macro is defined if 32-bit words (and 64-bit words, if defined) - * can be read from and written to memory efficiently in big-endian - * convention. This is the case for little-endian platforms, and also - * for the little-endian platforms which have special big-endian access - * opcodes. - */ -#define SPH_BIG_FAST - -/** - * On some platforms, this macro is defined to an unsigned integer type - * into which pointer values may be cast. The resulting value can then - * be tested for being a multiple of 2, 4 or 8, indicating an aligned - * pointer for, respectively, 16-bit, 32-bit or 64-bit memory accesses. - */ -#define SPH_UPTR - -/** - * When defined, this macro indicates that unaligned memory accesses - * are possible with only a minor penalty, and thus should be prefered - * over strategies which first copy data to an aligned buffer. - */ -#define SPH_UNALIGNED - -/** - * Byte-swap a 32-bit word (i.e. 0x12345678 becomes - * 0x78563412). This is an inline function which resorts - * to inline assembly on some platforms, for better performance. - * - * @param x the 32-bit value to byte-swap - * @return the byte-swapped value - */ -static inline sph_u32 sph_bswap32(sph_u32 x); - -/** - * Byte-swap a 64-bit word. This is an inline function which resorts - * to inline assembly on some platforms, for better performance. This - * function is defined only if a suitable 64-bit type was found for - * sph_u64 - * - * @param x the 64-bit value to byte-swap - * @return the byte-swapped value - */ -static inline sph_u64 sph_bswap64(sph_u64 x); - -/** - * Decode a 16-bit unsigned value from memory, in little-endian convention - * (least significant byte comes first). - * - * @param src the source address - * @return the decoded value - */ -static inline unsigned sph_dec16le(const void *src); - -/** - * Encode a 16-bit unsigned value into memory, in little-endian convention - * (least significant byte comes first). - * - * @param dst the destination buffer - * @param val the value to encode - */ -static inline void sph_enc16le(void *dst, unsigned val); - -/** - * Decode a 16-bit unsigned value from memory, in big-endian convention - * (most significant byte comes first). - * - * @param src the source address - * @return the decoded value - */ -static inline unsigned sph_dec16be(const void *src); - -/** - * Encode a 16-bit unsigned value into memory, in big-endian convention - * (most significant byte comes first). - * - * @param dst the destination buffer - * @param val the value to encode - */ -static inline void sph_enc16be(void *dst, unsigned val); - -/** - * Decode a 32-bit unsigned value from memory, in little-endian convention - * (least significant byte comes first). - * - * @param src the source address - * @return the decoded value - */ -static inline sph_u32 sph_dec32le(const void *src); - -/** - * Decode a 32-bit unsigned value from memory, in little-endian convention - * (least significant byte comes first). This function assumes that the - * source address is suitably aligned for a direct access, if the platform - * supports such things; it can thus be marginally faster than the generic - * sph_dec32le() function. - * - * @param src the source address - * @return the decoded value - */ -static inline sph_u32 sph_dec32le_aligned(const void *src); - -/** - * Encode a 32-bit unsigned value into memory, in little-endian convention - * (least significant byte comes first). - * - * @param dst the destination buffer - * @param val the value to encode - */ -static inline void sph_enc32le(void *dst, sph_u32 val); - -/** - * Encode a 32-bit unsigned value into memory, in little-endian convention - * (least significant byte comes first). This function assumes that the - * destination address is suitably aligned for a direct access, if the - * platform supports such things; it can thus be marginally faster than - * the generic sph_enc32le() function. - * - * @param dst the destination buffer - * @param val the value to encode - */ -static inline void sph_enc32le_aligned(void *dst, sph_u32 val); - -/** - * Decode a 32-bit unsigned value from memory, in big-endian convention - * (most significant byte comes first). - * - * @param src the source address - * @return the decoded value - */ -static inline sph_u32 sph_dec32be(const void *src); - -/** - * Decode a 32-bit unsigned value from memory, in big-endian convention - * (most significant byte comes first). This function assumes that the - * source address is suitably aligned for a direct access, if the platform - * supports such things; it can thus be marginally faster than the generic - * sph_dec32be() function. - * - * @param src the source address - * @return the decoded value - */ -static inline sph_u32 sph_dec32be_aligned(const void *src); - -/** - * Encode a 32-bit unsigned value into memory, in big-endian convention - * (most significant byte comes first). - * - * @param dst the destination buffer - * @param val the value to encode - */ -static inline void sph_enc32be(void *dst, sph_u32 val); - -/** - * Encode a 32-bit unsigned value into memory, in big-endian convention - * (most significant byte comes first). This function assumes that the - * destination address is suitably aligned for a direct access, if the - * platform supports such things; it can thus be marginally faster than - * the generic sph_enc32be() function. - * - * @param dst the destination buffer - * @param val the value to encode - */ -static inline void sph_enc32be_aligned(void *dst, sph_u32 val); - -/** - * Decode a 64-bit unsigned value from memory, in little-endian convention - * (least significant byte comes first). This function is defined only - * if a suitable 64-bit type was detected and used for sph_u64. - * - * @param src the source address - * @return the decoded value - */ -static inline sph_u64 sph_dec64le(const void *src); - -/** - * Decode a 64-bit unsigned value from memory, in little-endian convention - * (least significant byte comes first). This function assumes that the - * source address is suitably aligned for a direct access, if the platform - * supports such things; it can thus be marginally faster than the generic - * sph_dec64le() function. This function is defined only - * if a suitable 64-bit type was detected and used for sph_u64. - * - * @param src the source address - * @return the decoded value - */ -static inline sph_u64 sph_dec64le_aligned(const void *src); - -/** - * Encode a 64-bit unsigned value into memory, in little-endian convention - * (least significant byte comes first). This function is defined only - * if a suitable 64-bit type was detected and used for sph_u64. - * - * @param dst the destination buffer - * @param val the value to encode - */ -static inline void sph_enc64le(void *dst, sph_u64 val); - -/** - * Encode a 64-bit unsigned value into memory, in little-endian convention - * (least significant byte comes first). This function assumes that the - * destination address is suitably aligned for a direct access, if the - * platform supports such things; it can thus be marginally faster than - * the generic sph_enc64le() function. This function is defined - * only if a suitable 64-bit type was detected and used for - * sph_u64. - * - * @param dst the destination buffer - * @param val the value to encode - */ -static inline void sph_enc64le_aligned(void *dst, sph_u64 val); - -/** - * Decode a 64-bit unsigned value from memory, in big-endian convention - * (most significant byte comes first). This function is defined only - * if a suitable 64-bit type was detected and used for sph_u64. - * - * @param src the source address - * @return the decoded value - */ -static inline sph_u64 sph_dec64be(const void *src); - -/** - * Decode a 64-bit unsigned value from memory, in big-endian convention - * (most significant byte comes first). This function assumes that the - * source address is suitably aligned for a direct access, if the platform - * supports such things; it can thus be marginally faster than the generic - * sph_dec64be() function. This function is defined only - * if a suitable 64-bit type was detected and used for sph_u64. - * - * @param src the source address - * @return the decoded value - */ -static inline sph_u64 sph_dec64be_aligned(const void *src); - -/** - * Encode a 64-bit unsigned value into memory, in big-endian convention - * (most significant byte comes first). This function is defined only - * if a suitable 64-bit type was detected and used for sph_u64. - * - * @param dst the destination buffer - * @param val the value to encode - */ -static inline void sph_enc64be(void *dst, sph_u64 val); - -/** - * Encode a 64-bit unsigned value into memory, in big-endian convention - * (most significant byte comes first). This function assumes that the - * destination address is suitably aligned for a direct access, if the - * platform supports such things; it can thus be marginally faster than - * the generic sph_enc64be() function. This function is defined - * only if a suitable 64-bit type was detected and used for - * sph_u64. - * - * @param dst the destination buffer - * @param val the value to encode - */ -static inline void sph_enc64be_aligned(void *dst, sph_u64 val); - -#endif - -/* ============== END documentation block for Doxygen ============= */ - -#ifndef DOXYGEN_IGNORE - -/* - * We want to define the types "sph_u32" and "sph_u64" which hold - * unsigned values of at least, respectively, 32 and 64 bits. These - * tests should select appropriate types for most platforms. The - * macro "SPH_64" is defined if the 64-bit is supported. - */ - -#undef SPH_64 -#undef SPH_64_TRUE - -#if defined __STDC__ && __STDC_VERSION__ >= 199901L - -/* - * On C99 implementations, we can use to get an exact 64-bit - * type, if any, or otherwise use a wider type (which must exist, for - * C99 conformance). - */ - -#include - -#ifdef UINT32_MAX -typedef uint32_t sph_u32; -typedef int32_t sph_s32; -#else -typedef uint_fast32_t sph_u32; -typedef int_fast32_t sph_s32; -#endif -#if !SPH_NO_64 -#ifdef UINT64_MAX -typedef uint64_t sph_u64; -typedef int64_t sph_s64; -#else -typedef uint_fast64_t sph_u64; -typedef int_fast64_t sph_s64; -#endif -#endif - -#define SPH_C32(x) ((sph_u32)(x)) -#if !SPH_NO_64 -#define SPH_C64(x) ((sph_u64)(x)) -#define SPH_64 1 -#endif - -#else - -/* - * On non-C99 systems, we use "unsigned int" if it is wide enough, - * "unsigned long" otherwise. This supports all "reasonable" architectures. - * We have to be cautious: pre-C99 preprocessors handle constants - * differently in '#if' expressions. Hence the shifts to test UINT_MAX. - */ - -#if ((UINT_MAX >> 11) >> 11) >= 0x3FF - -typedef unsigned int sph_u32; -typedef int sph_s32; - -#define SPH_C32(x) ((sph_u32)(x ## U)) - -#else - -typedef unsigned long sph_u32; -typedef long sph_s32; - -#define SPH_C32(x) ((sph_u32)(x ## UL)) - -#endif - -#if !SPH_NO_64 - -/* - * We want a 64-bit type. We use "unsigned long" if it is wide enough (as - * is common on 64-bit architectures such as AMD64, Alpha or Sparcv9), - * "unsigned long long" otherwise, if available. We use ULLONG_MAX to - * test whether "unsigned long long" is available; we also know that - * gcc features this type, even if the libc header do not know it. - */ - -#if ((ULONG_MAX >> 31) >> 31) >= 3 - -typedef unsigned long sph_u64; -typedef long sph_s64; - -#define SPH_C64(x) ((sph_u64)(x ## UL)) - -#define SPH_64 1 - -#elif ((ULLONG_MAX >> 31) >> 31) >= 3 || defined __GNUC__ - -typedef unsigned long long sph_u64; -typedef long long sph_s64; - -#define SPH_C64(x) ((sph_u64)(x ## ULL)) - -#define SPH_64 1 - -#else - -/* - * No 64-bit type... - */ - -#endif - -#endif - -#endif - -/* - * If the "unsigned long" type has length 64 bits or more, then this is - * a "true" 64-bit architectures. This is also true with Visual C on - * amd64, even though the "long" type is limited to 32 bits. - */ -#if SPH_64 && (((ULONG_MAX >> 31) >> 31) >= 3 || defined _M_X64) -#define SPH_64_TRUE 1 -#endif - -/* - * Implementation note: some processors have specific opcodes to perform - * a rotation. Recent versions of gcc recognize the expression above and - * use the relevant opcodes, when appropriate. - */ - -#define SPH_T32(x) ((x) & SPH_C32(0xFFFFFFFF)) -#define SPH_ROTL32(x, n) SPH_T32(((x) << (n)) | ((x) >> (32 - (n)))) -#define SPH_ROTR32(x, n) SPH_ROTL32(x, (32 - (n))) - -#if SPH_64 - -#define SPH_T64(x) ((x) & SPH_C64(0xFFFFFFFFFFFFFFFF)) -#define SPH_ROTL64(x, n) SPH_T64(((x) << (n)) | ((x) >> (64 - (n)))) -#define SPH_ROTR64(x, n) SPH_ROTL64(x, (64 - (n))) - -#endif - -#ifndef DOXYGEN_IGNORE -/* - * Define SPH_INLINE to be an "inline" qualifier, if available. We define - * some small macro-like functions which benefit greatly from being inlined. - */ -#if (defined __STDC__ && __STDC_VERSION__ >= 199901L) || defined __GNUC__ -#define SPH_INLINE inline -#elif defined _MSC_VER -#define SPH_INLINE __inline -#else -#define SPH_INLINE -#endif -#endif - -/* - * We define some macros which qualify the architecture. These macros - * may be explicit set externally (e.g. as compiler parameters). The - * code below sets those macros if they are not already defined. - * - * Most macros are boolean, thus evaluate to either zero or non-zero. - * The SPH_UPTR macro is special, in that it evaluates to a C type, - * or is not defined. - * - * SPH_UPTR if defined: unsigned type to cast pointers into - * - * SPH_UNALIGNED non-zero if unaligned accesses are efficient - * SPH_LITTLE_ENDIAN non-zero if architecture is known to be little-endian - * SPH_BIG_ENDIAN non-zero if architecture is known to be big-endian - * SPH_LITTLE_FAST non-zero if little-endian decoding is fast - * SPH_BIG_FAST non-zero if big-endian decoding is fast - * - * If SPH_UPTR is defined, then encoding and decoding of 32-bit and 64-bit - * values will try to be "smart". Either SPH_LITTLE_ENDIAN or SPH_BIG_ENDIAN - * _must_ be non-zero in those situations. The 32-bit and 64-bit types - * _must_ also have an exact width. - * - * SPH_SPARCV9_GCC_32 UltraSPARC-compatible with gcc, 32-bit mode - * SPH_SPARCV9_GCC_64 UltraSPARC-compatible with gcc, 64-bit mode - * SPH_SPARCV9_GCC UltraSPARC-compatible with gcc - * SPH_I386_GCC x86-compatible (32-bit) with gcc - * SPH_I386_MSVC x86-compatible (32-bit) with Microsoft Visual C - * SPH_AMD64_GCC x86-compatible (64-bit) with gcc - * SPH_AMD64_MSVC x86-compatible (64-bit) with Microsoft Visual C - * SPH_PPC32_GCC PowerPC, 32-bit, with gcc - * SPH_PPC64_GCC PowerPC, 64-bit, with gcc - * - * TODO: enhance automatic detection, for more architectures and compilers. - * Endianness is the most important. SPH_UNALIGNED and SPH_UPTR help with - * some very fast functions (e.g. MD4) when using unaligned input data. - * The CPU-specific-with-GCC macros are useful only for inline assembly, - * normally restrained to this header file. - */ - -/* - * 32-bit x86, aka "i386 compatible". - */ -#if defined __i386__ || defined _M_IX86 - -#define SPH_DETECT_UNALIGNED 1 -#define SPH_DETECT_LITTLE_ENDIAN 1 -#define SPH_DETECT_UPTR sph_u32 -#ifdef __GNUC__ -#define SPH_DETECT_I386_GCC 1 -#endif -#ifdef _MSC_VER -#define SPH_DETECT_I386_MSVC 1 -#endif - -/* - * 64-bit x86, hereafter known as "amd64". - */ -#elif defined __x86_64 || defined _M_X64 - -#define SPH_DETECT_UNALIGNED 1 -#define SPH_DETECT_LITTLE_ENDIAN 1 -#define SPH_DETECT_UPTR sph_u64 -#ifdef __GNUC__ -#define SPH_DETECT_AMD64_GCC 1 -#endif -#ifdef _MSC_VER -#define SPH_DETECT_AMD64_MSVC 1 -#endif - -/* - * 64-bit Sparc architecture (implies v9). - */ -#elif ((defined __sparc__ || defined __sparc) && defined __arch64__) \ - || defined __sparcv9 - -#define SPH_DETECT_BIG_ENDIAN 1 -#define SPH_DETECT_UPTR sph_u64 -#ifdef __GNUC__ -#define SPH_DETECT_SPARCV9_GCC_64 1 -#define SPH_DETECT_LITTLE_FAST 1 -#endif - -/* - * 32-bit Sparc. - */ -#elif (defined __sparc__ || defined __sparc) \ - && !(defined __sparcv9 || defined __arch64__) - -#define SPH_DETECT_BIG_ENDIAN 1 -#define SPH_DETECT_UPTR sph_u32 -#if defined __GNUC__ && defined __sparc_v9__ -#define SPH_DETECT_SPARCV9_GCC_32 1 -#define SPH_DETECT_LITTLE_FAST 1 -#endif - -/* - * ARM, little-endian. - */ -#elif defined __arm__ && __ARMEL__ - -#define SPH_DETECT_LITTLE_ENDIAN 1 - -/* - * MIPS, little-endian. - */ -#elif MIPSEL || _MIPSEL || __MIPSEL || __MIPSEL__ - -#define SPH_DETECT_LITTLE_ENDIAN 1 - -/* - * MIPS, big-endian. - */ -#elif MIPSEB || _MIPSEB || __MIPSEB || __MIPSEB__ - -#define SPH_DETECT_BIG_ENDIAN 1 - -/* - * PowerPC. - */ -#elif defined __powerpc__ || defined __POWERPC__ || defined __ppc__ \ - || defined _ARCH_PPC - -/* - * Note: we do not declare cross-endian access to be "fast": even if - * using inline assembly, implementation should still assume that - * keeping the decoded word in a temporary is faster than decoding - * it again. - */ -#if defined __GNUC__ -#if SPH_64_TRUE -#define SPH_DETECT_PPC64_GCC 1 -#else -#define SPH_DETECT_PPC32_GCC 1 -#endif -#endif - -#if defined __BIG_ENDIAN__ || defined _BIG_ENDIAN -#define SPH_DETECT_BIG_ENDIAN 1 -#elif defined __LITTLE_ENDIAN__ || defined _LITTLE_ENDIAN -#define SPH_DETECT_LITTLE_ENDIAN 1 -#endif - -/* - * Itanium, 64-bit. - */ -#elif defined __ia64 || defined __ia64__ \ - || defined __itanium__ || defined _M_IA64 - -#if defined __BIG_ENDIAN__ || defined _BIG_ENDIAN -#define SPH_DETECT_BIG_ENDIAN 1 -#else -#define SPH_DETECT_LITTLE_ENDIAN 1 -#endif -#if defined __LP64__ || defined _LP64 -#define SPH_DETECT_UPTR sph_u64 -#else -#define SPH_DETECT_UPTR sph_u32 -#endif - -#endif - -#if defined SPH_DETECT_SPARCV9_GCC_32 || defined SPH_DETECT_SPARCV9_GCC_64 -#define SPH_DETECT_SPARCV9_GCC 1 -#endif - -#if defined SPH_DETECT_UNALIGNED && !defined SPH_UNALIGNED -#define SPH_UNALIGNED SPH_DETECT_UNALIGNED -#endif -#if defined SPH_DETECT_UPTR && !defined SPH_UPTR -#define SPH_UPTR SPH_DETECT_UPTR -#endif -#if defined SPH_DETECT_LITTLE_ENDIAN && !defined SPH_LITTLE_ENDIAN -#define SPH_LITTLE_ENDIAN SPH_DETECT_LITTLE_ENDIAN -#endif -#if defined SPH_DETECT_BIG_ENDIAN && !defined SPH_BIG_ENDIAN -#define SPH_BIG_ENDIAN SPH_DETECT_BIG_ENDIAN -#endif -#if defined SPH_DETECT_LITTLE_FAST && !defined SPH_LITTLE_FAST -#define SPH_LITTLE_FAST SPH_DETECT_LITTLE_FAST -#endif -#if defined SPH_DETECT_BIG_FAST && !defined SPH_BIG_FAST -#define SPH_BIG_FAST SPH_DETECT_BIG_FAST -#endif -#if defined SPH_DETECT_SPARCV9_GCC_32 && !defined SPH_SPARCV9_GCC_32 -#define SPH_SPARCV9_GCC_32 SPH_DETECT_SPARCV9_GCC_32 -#endif -#if defined SPH_DETECT_SPARCV9_GCC_64 && !defined SPH_SPARCV9_GCC_64 -#define SPH_SPARCV9_GCC_64 SPH_DETECT_SPARCV9_GCC_64 -#endif -#if defined SPH_DETECT_SPARCV9_GCC && !defined SPH_SPARCV9_GCC -#define SPH_SPARCV9_GCC SPH_DETECT_SPARCV9_GCC -#endif -#if defined SPH_DETECT_I386_GCC && !defined SPH_I386_GCC -#define SPH_I386_GCC SPH_DETECT_I386_GCC -#endif -#if defined SPH_DETECT_I386_MSVC && !defined SPH_I386_MSVC -#define SPH_I386_MSVC SPH_DETECT_I386_MSVC -#endif -#if defined SPH_DETECT_AMD64_GCC && !defined SPH_AMD64_GCC -#define SPH_AMD64_GCC SPH_DETECT_AMD64_GCC -#endif -#if defined SPH_DETECT_AMD64_MSVC && !defined SPH_AMD64_MSVC -#define SPH_AMD64_MSVC SPH_DETECT_AMD64_MSVC -#endif -#if defined SPH_DETECT_PPC32_GCC && !defined SPH_PPC32_GCC -#define SPH_PPC32_GCC SPH_DETECT_PPC32_GCC -#endif -#if defined SPH_DETECT_PPC64_GCC && !defined SPH_PPC64_GCC -#define SPH_PPC64_GCC SPH_DETECT_PPC64_GCC -#endif - -#if SPH_LITTLE_ENDIAN && !defined SPH_LITTLE_FAST -#define SPH_LITTLE_FAST 1 -#endif -#if SPH_BIG_ENDIAN && !defined SPH_BIG_FAST -#define SPH_BIG_FAST 1 -#endif - -#if defined SPH_UPTR && !(SPH_LITTLE_ENDIAN || SPH_BIG_ENDIAN) -#error SPH_UPTR defined, but endianness is not known. -#endif - -#if SPH_I386_GCC && !SPH_NO_ASM - -/* - * On x86 32-bit, with gcc, we use the bswapl opcode to byte-swap 32-bit - * values. - */ - -static SPH_INLINE sph_u32 -sph_bswap32(sph_u32 x) -{ - __asm__ __volatile__ ("bswapl %0" : "=r" (x) : "0" (x)); - return x; -} - -#if SPH_64 - -static SPH_INLINE sph_u64 -sph_bswap64(sph_u64 x) -{ - return ((sph_u64)sph_bswap32((sph_u32)x) << 32) - | (sph_u64)sph_bswap32((sph_u32)(x >> 32)); -} - -#endif - -#elif SPH_AMD64_GCC && !SPH_NO_ASM - -/* - * On x86 64-bit, with gcc, we use the bswapl opcode to byte-swap 32-bit - * and 64-bit values. - */ - -static SPH_INLINE sph_u32 -sph_bswap32(sph_u32 x) -{ - __asm__ __volatile__ ("bswapl %0" : "=r" (x) : "0" (x)); - return x; -} - -#if SPH_64 - -static SPH_INLINE sph_u64 -sph_bswap64(sph_u64 x) -{ - __asm__ __volatile__ ("bswapq %0" : "=r" (x) : "0" (x)); - return x; -} - -#endif - -/* - * Disabled code. Apparently, Microsoft Visual C 2005 is smart enough - * to generate proper opcodes for endianness swapping with the pure C - * implementation below. - * - -#elif SPH_I386_MSVC && !SPH_NO_ASM - -static __inline sph_u32 __declspec(naked) __fastcall -sph_bswap32(sph_u32 x) -{ - __asm { - bswap ecx - mov eax,ecx - ret - } -} - -#if SPH_64 - -static SPH_INLINE sph_u64 -sph_bswap64(sph_u64 x) -{ - return ((sph_u64)sph_bswap32((sph_u32)x) << 32) - | (sph_u64)sph_bswap32((sph_u32)(x >> 32)); -} - -#endif - - * - * [end of disabled code] - */ - -#else - -static SPH_INLINE sph_u32 -sph_bswap32(sph_u32 x) -{ - x = SPH_T32((x << 16) | (x >> 16)); - x = ((x & SPH_C32(0xFF00FF00)) >> 8) - | ((x & SPH_C32(0x00FF00FF)) << 8); - return x; -} - -#if SPH_64 - -/** - * Byte-swap a 64-bit value. - * - * @param x the input value - * @return the byte-swapped value - */ -static SPH_INLINE sph_u64 -sph_bswap64(sph_u64 x) -{ - x = SPH_T64((x << 32) | (x >> 32)); - x = ((x & SPH_C64(0xFFFF0000FFFF0000)) >> 16) - | ((x & SPH_C64(0x0000FFFF0000FFFF)) << 16); - x = ((x & SPH_C64(0xFF00FF00FF00FF00)) >> 8) - | ((x & SPH_C64(0x00FF00FF00FF00FF)) << 8); - return x; -} - -#endif - -#endif - -#if SPH_SPARCV9_GCC && !SPH_NO_ASM - -/* - * On UltraSPARC systems, native ordering is big-endian, but it is - * possible to perform little-endian read accesses by specifying the - * address space 0x88 (ASI_PRIMARY_LITTLE). Basically, either we use - * the opcode "lda [%reg]0x88,%dst", where %reg is the register which - * contains the source address and %dst is the destination register, - * or we use "lda [%reg+imm]%asi,%dst", which uses the %asi register - * to get the address space name. The latter format is better since it - * combines an addition and the actual access in a single opcode; but - * it requires the setting (and subsequent resetting) of %asi, which is - * slow. Some operations (i.e. MD5 compression function) combine many - * successive little-endian read accesses, which may share the same - * %asi setting. The macros below contain the appropriate inline - * assembly. - */ - -#define SPH_SPARCV9_SET_ASI \ - sph_u32 sph_sparcv9_asi; \ - __asm__ __volatile__ ( \ - "rd %%asi,%0\n\twr %%g0,0x88,%%asi" : "=r" (sph_sparcv9_asi)); - -#define SPH_SPARCV9_RESET_ASI \ - __asm__ __volatile__ ("wr %%g0,%0,%%asi" : : "r" (sph_sparcv9_asi)); - -#define SPH_SPARCV9_DEC32LE(base, idx) ({ \ - sph_u32 sph_sparcv9_tmp; \ - __asm__ __volatile__ ("lda [%1+" #idx "*4]%%asi,%0" \ - : "=r" (sph_sparcv9_tmp) : "r" (base)); \ - sph_sparcv9_tmp; \ - }) - -#endif - -static SPH_INLINE void -sph_enc16be(void *dst, unsigned val) -{ - ((unsigned char *)dst)[0] = (val >> 8); - ((unsigned char *)dst)[1] = val; -} - -static SPH_INLINE unsigned -sph_dec16be(const void *src) -{ - return ((unsigned)(((const unsigned char *)src)[0]) << 8) - | (unsigned)(((const unsigned char *)src)[1]); -} - -static SPH_INLINE void -sph_enc16le(void *dst, unsigned val) -{ - ((unsigned char *)dst)[0] = val; - ((unsigned char *)dst)[1] = val >> 8; -} - -static SPH_INLINE unsigned -sph_dec16le(const void *src) -{ - return (unsigned)(((const unsigned char *)src)[0]) - | ((unsigned)(((const unsigned char *)src)[1]) << 8); -} - -/** - * Encode a 32-bit value into the provided buffer (big endian convention). - * - * @param dst the destination buffer - * @param val the 32-bit value to encode - */ -static SPH_INLINE void -sph_enc32be(void *dst, sph_u32 val) -{ -#if defined SPH_UPTR -#if SPH_UNALIGNED -#if SPH_LITTLE_ENDIAN - val = sph_bswap32(val); -#endif - *(sph_u32 *)dst = val; -#else - if (((SPH_UPTR)dst & 3) == 0) { -#if SPH_LITTLE_ENDIAN - val = sph_bswap32(val); -#endif - *(sph_u32 *)dst = val; - } else { - ((unsigned char *)dst)[0] = (val >> 24); - ((unsigned char *)dst)[1] = (val >> 16); - ((unsigned char *)dst)[2] = (val >> 8); - ((unsigned char *)dst)[3] = val; - } -#endif -#else - ((unsigned char *)dst)[0] = (val >> 24); - ((unsigned char *)dst)[1] = (val >> 16); - ((unsigned char *)dst)[2] = (val >> 8); - ((unsigned char *)dst)[3] = val; -#endif -} - -/** - * Encode a 32-bit value into the provided buffer (big endian convention). - * The destination buffer must be properly aligned. - * - * @param dst the destination buffer (32-bit aligned) - * @param val the value to encode - */ -static SPH_INLINE void -sph_enc32be_aligned(void *dst, sph_u32 val) -{ -#if SPH_LITTLE_ENDIAN - *(sph_u32 *)dst = sph_bswap32(val); -#elif SPH_BIG_ENDIAN - *(sph_u32 *)dst = val; -#else - ((unsigned char *)dst)[0] = (val >> 24); - ((unsigned char *)dst)[1] = (val >> 16); - ((unsigned char *)dst)[2] = (val >> 8); - ((unsigned char *)dst)[3] = val; -#endif -} - -/** - * Decode a 32-bit value from the provided buffer (big endian convention). - * - * @param src the source buffer - * @return the decoded value - */ -static SPH_INLINE sph_u32 -sph_dec32be(const void *src) -{ -#if defined SPH_UPTR -#if SPH_UNALIGNED -#if SPH_LITTLE_ENDIAN - return sph_bswap32(*(const sph_u32 *)src); -#else - return *(const sph_u32 *)src; -#endif -#else - if (((SPH_UPTR)src & 3) == 0) { -#if SPH_LITTLE_ENDIAN - return sph_bswap32(*(const sph_u32 *)src); -#else - return *(const sph_u32 *)src; -#endif - } else { - return ((sph_u32)(((const unsigned char *)src)[0]) << 24) - | ((sph_u32)(((const unsigned char *)src)[1]) << 16) - | ((sph_u32)(((const unsigned char *)src)[2]) << 8) - | (sph_u32)(((const unsigned char *)src)[3]); - } -#endif -#else - return ((sph_u32)(((const unsigned char *)src)[0]) << 24) - | ((sph_u32)(((const unsigned char *)src)[1]) << 16) - | ((sph_u32)(((const unsigned char *)src)[2]) << 8) - | (sph_u32)(((const unsigned char *)src)[3]); -#endif -} - -/** - * Decode a 32-bit value from the provided buffer (big endian convention). - * The source buffer must be properly aligned. - * - * @param src the source buffer (32-bit aligned) - * @return the decoded value - */ -static SPH_INLINE sph_u32 -sph_dec32be_aligned(const void *src) -{ -#if SPH_LITTLE_ENDIAN - return sph_bswap32(*(const sph_u32 *)src); -#elif SPH_BIG_ENDIAN - return *(const sph_u32 *)src; -#else - return ((sph_u32)(((const unsigned char *)src)[0]) << 24) - | ((sph_u32)(((const unsigned char *)src)[1]) << 16) - | ((sph_u32)(((const unsigned char *)src)[2]) << 8) - | (sph_u32)(((const unsigned char *)src)[3]); -#endif -} - -/** - * Encode a 32-bit value into the provided buffer (little endian convention). - * - * @param dst the destination buffer - * @param val the 32-bit value to encode - */ -static SPH_INLINE void -sph_enc32le(void *dst, sph_u32 val) -{ -#if defined SPH_UPTR -#if SPH_UNALIGNED -#if SPH_BIG_ENDIAN - val = sph_bswap32(val); -#endif - *(sph_u32 *)dst = val; -#else - if (((SPH_UPTR)dst & 3) == 0) { -#if SPH_BIG_ENDIAN - val = sph_bswap32(val); -#endif - *(sph_u32 *)dst = val; - } else { - ((unsigned char *)dst)[0] = val; - ((unsigned char *)dst)[1] = (val >> 8); - ((unsigned char *)dst)[2] = (val >> 16); - ((unsigned char *)dst)[3] = (val >> 24); - } -#endif -#else - ((unsigned char *)dst)[0] = val; - ((unsigned char *)dst)[1] = (val >> 8); - ((unsigned char *)dst)[2] = (val >> 16); - ((unsigned char *)dst)[3] = (val >> 24); -#endif -} - -/** - * Encode a 32-bit value into the provided buffer (little endian convention). - * The destination buffer must be properly aligned. - * - * @param dst the destination buffer (32-bit aligned) - * @param val the value to encode - */ -static SPH_INLINE void -sph_enc32le_aligned(void *dst, sph_u32 val) -{ -#if SPH_LITTLE_ENDIAN - *(sph_u32 *)dst = val; -#elif SPH_BIG_ENDIAN - *(sph_u32 *)dst = sph_bswap32(val); -#else - ((unsigned char *)dst)[0] = val; - ((unsigned char *)dst)[1] = (val >> 8); - ((unsigned char *)dst)[2] = (val >> 16); - ((unsigned char *)dst)[3] = (val >> 24); -#endif -} - -/** - * Decode a 32-bit value from the provided buffer (little endian convention). - * - * @param src the source buffer - * @return the decoded value - */ -static SPH_INLINE sph_u32 -sph_dec32le(const void *src) -{ -#if defined SPH_UPTR -#if SPH_UNALIGNED -#if SPH_BIG_ENDIAN - return sph_bswap32(*(const sph_u32 *)src); -#else - return *(const sph_u32 *)src; -#endif -#else - if (((SPH_UPTR)src & 3) == 0) { -#if SPH_BIG_ENDIAN -#if SPH_SPARCV9_GCC && !SPH_NO_ASM - sph_u32 tmp; - - /* - * "__volatile__" is needed here because without it, - * gcc-3.4.3 miscompiles the code and performs the - * access before the test on the address, thus triggering - * a bus error... - */ - __asm__ __volatile__ ( - "lda [%1]0x88,%0" : "=r" (tmp) : "r" (src)); - return tmp; -/* - * On PowerPC, this turns out not to be worth the effort: the inline - * assembly makes GCC optimizer uncomfortable, which tends to nullify - * the decoding gains. - * - * For most hash functions, using this inline assembly trick changes - * hashing speed by less than 5% and often _reduces_ it. The biggest - * gains are for MD4 (+11%) and CubeHash (+30%). For all others, it is - * less then 10%. The speed gain on CubeHash is probably due to the - * chronic shortage of registers that CubeHash endures; for the other - * functions, the generic code appears to be efficient enough already. - * -#elif (SPH_PPC32_GCC || SPH_PPC64_GCC) && !SPH_NO_ASM - sph_u32 tmp; - - __asm__ __volatile__ ( - "lwbrx %0,0,%1" : "=r" (tmp) : "r" (src)); - return tmp; - */ -#else - return sph_bswap32(*(const sph_u32 *)src); -#endif -#else - return *(const sph_u32 *)src; -#endif - } else { - return (sph_u32)(((const unsigned char *)src)[0]) - | ((sph_u32)(((const unsigned char *)src)[1]) << 8) - | ((sph_u32)(((const unsigned char *)src)[2]) << 16) - | ((sph_u32)(((const unsigned char *)src)[3]) << 24); - } -#endif -#else - return (sph_u32)(((const unsigned char *)src)[0]) - | ((sph_u32)(((const unsigned char *)src)[1]) << 8) - | ((sph_u32)(((const unsigned char *)src)[2]) << 16) - | ((sph_u32)(((const unsigned char *)src)[3]) << 24); -#endif -} - -/** - * Decode a 32-bit value from the provided buffer (little endian convention). - * The source buffer must be properly aligned. - * - * @param src the source buffer (32-bit aligned) - * @return the decoded value - */ -static SPH_INLINE sph_u32 -sph_dec32le_aligned(const void *src) -{ -#if SPH_LITTLE_ENDIAN - return *(const sph_u32 *)src; -#elif SPH_BIG_ENDIAN -#if SPH_SPARCV9_GCC && !SPH_NO_ASM - sph_u32 tmp; - - __asm__ __volatile__ ("lda [%1]0x88,%0" : "=r" (tmp) : "r" (src)); - return tmp; -/* - * Not worth it generally. - * -#elif (SPH_PPC32_GCC || SPH_PPC64_GCC) && !SPH_NO_ASM - sph_u32 tmp; - - __asm__ __volatile__ ("lwbrx %0,0,%1" : "=r" (tmp) : "r" (src)); - return tmp; - */ -#else - return sph_bswap32(*(const sph_u32 *)src); -#endif -#else - return (sph_u32)(((const unsigned char *)src)[0]) - | ((sph_u32)(((const unsigned char *)src)[1]) << 8) - | ((sph_u32)(((const unsigned char *)src)[2]) << 16) - | ((sph_u32)(((const unsigned char *)src)[3]) << 24); -#endif -} - -#if SPH_64 - -/** - * Encode a 64-bit value into the provided buffer (big endian convention). - * - * @param dst the destination buffer - * @param val the 64-bit value to encode - */ -static SPH_INLINE void -sph_enc64be(void *dst, sph_u64 val) -{ -#if defined SPH_UPTR -#if SPH_UNALIGNED -#if SPH_LITTLE_ENDIAN - val = sph_bswap64(val); -#endif - *(sph_u64 *)dst = val; -#else - if (((SPH_UPTR)dst & 7) == 0) { -#if SPH_LITTLE_ENDIAN - val = sph_bswap64(val); -#endif - *(sph_u64 *)dst = val; - } else { - ((unsigned char *)dst)[0] = (val >> 56); - ((unsigned char *)dst)[1] = (val >> 48); - ((unsigned char *)dst)[2] = (val >> 40); - ((unsigned char *)dst)[3] = (val >> 32); - ((unsigned char *)dst)[4] = (val >> 24); - ((unsigned char *)dst)[5] = (val >> 16); - ((unsigned char *)dst)[6] = (val >> 8); - ((unsigned char *)dst)[7] = val; - } -#endif -#else - ((unsigned char *)dst)[0] = (val >> 56); - ((unsigned char *)dst)[1] = (val >> 48); - ((unsigned char *)dst)[2] = (val >> 40); - ((unsigned char *)dst)[3] = (val >> 32); - ((unsigned char *)dst)[4] = (val >> 24); - ((unsigned char *)dst)[5] = (val >> 16); - ((unsigned char *)dst)[6] = (val >> 8); - ((unsigned char *)dst)[7] = val; -#endif -} - -/** - * Encode a 64-bit value into the provided buffer (big endian convention). - * The destination buffer must be properly aligned. - * - * @param dst the destination buffer (64-bit aligned) - * @param val the value to encode - */ -static SPH_INLINE void -sph_enc64be_aligned(void *dst, sph_u64 val) -{ -#if SPH_LITTLE_ENDIAN - *(sph_u64 *)dst = sph_bswap64(val); -#elif SPH_BIG_ENDIAN - *(sph_u64 *)dst = val; -#else - ((unsigned char *)dst)[0] = (val >> 56); - ((unsigned char *)dst)[1] = (val >> 48); - ((unsigned char *)dst)[2] = (val >> 40); - ((unsigned char *)dst)[3] = (val >> 32); - ((unsigned char *)dst)[4] = (val >> 24); - ((unsigned char *)dst)[5] = (val >> 16); - ((unsigned char *)dst)[6] = (val >> 8); - ((unsigned char *)dst)[7] = val; -#endif -} - -/** - * Decode a 64-bit value from the provided buffer (big endian convention). - * - * @param src the source buffer - * @return the decoded value - */ -static SPH_INLINE sph_u64 -sph_dec64be(const void *src) -{ -#if defined SPH_UPTR -#if SPH_UNALIGNED -#if SPH_LITTLE_ENDIAN - return sph_bswap64(*(const sph_u64 *)src); -#else - return *(const sph_u64 *)src; -#endif -#else - if (((SPH_UPTR)src & 7) == 0) { -#if SPH_LITTLE_ENDIAN - return sph_bswap64(*(const sph_u64 *)src); -#else - return *(const sph_u64 *)src; -#endif - } else { - return ((sph_u64)(((const unsigned char *)src)[0]) << 56) - | ((sph_u64)(((const unsigned char *)src)[1]) << 48) - | ((sph_u64)(((const unsigned char *)src)[2]) << 40) - | ((sph_u64)(((const unsigned char *)src)[3]) << 32) - | ((sph_u64)(((const unsigned char *)src)[4]) << 24) - | ((sph_u64)(((const unsigned char *)src)[5]) << 16) - | ((sph_u64)(((const unsigned char *)src)[6]) << 8) - | (sph_u64)(((const unsigned char *)src)[7]); - } -#endif -#else - return ((sph_u64)(((const unsigned char *)src)[0]) << 56) - | ((sph_u64)(((const unsigned char *)src)[1]) << 48) - | ((sph_u64)(((const unsigned char *)src)[2]) << 40) - | ((sph_u64)(((const unsigned char *)src)[3]) << 32) - | ((sph_u64)(((const unsigned char *)src)[4]) << 24) - | ((sph_u64)(((const unsigned char *)src)[5]) << 16) - | ((sph_u64)(((const unsigned char *)src)[6]) << 8) - | (sph_u64)(((const unsigned char *)src)[7]); -#endif -} - -/** - * Decode a 64-bit value from the provided buffer (big endian convention). - * The source buffer must be properly aligned. - * - * @param src the source buffer (64-bit aligned) - * @return the decoded value - */ -static SPH_INLINE sph_u64 -sph_dec64be_aligned(const void *src) -{ -#if SPH_LITTLE_ENDIAN - return sph_bswap64(*(const sph_u64 *)src); -#elif SPH_BIG_ENDIAN - return *(const sph_u64 *)src; -#else - return ((sph_u64)(((const unsigned char *)src)[0]) << 56) - | ((sph_u64)(((const unsigned char *)src)[1]) << 48) - | ((sph_u64)(((const unsigned char *)src)[2]) << 40) - | ((sph_u64)(((const unsigned char *)src)[3]) << 32) - | ((sph_u64)(((const unsigned char *)src)[4]) << 24) - | ((sph_u64)(((const unsigned char *)src)[5]) << 16) - | ((sph_u64)(((const unsigned char *)src)[6]) << 8) - | (sph_u64)(((const unsigned char *)src)[7]); -#endif -} - -/** - * Encode a 64-bit value into the provided buffer (little endian convention). - * - * @param dst the destination buffer - * @param val the 64-bit value to encode - */ -static SPH_INLINE void -sph_enc64le(void *dst, sph_u64 val) -{ -#if defined SPH_UPTR -#if SPH_UNALIGNED -#if SPH_BIG_ENDIAN - val = sph_bswap64(val); -#endif - *(sph_u64 *)dst = val; -#else - if (((SPH_UPTR)dst & 7) == 0) { -#if SPH_BIG_ENDIAN - val = sph_bswap64(val); -#endif - *(sph_u64 *)dst = val; - } else { - ((unsigned char *)dst)[0] = val; - ((unsigned char *)dst)[1] = (val >> 8); - ((unsigned char *)dst)[2] = (val >> 16); - ((unsigned char *)dst)[3] = (val >> 24); - ((unsigned char *)dst)[4] = (val >> 32); - ((unsigned char *)dst)[5] = (val >> 40); - ((unsigned char *)dst)[6] = (val >> 48); - ((unsigned char *)dst)[7] = (val >> 56); - } -#endif -#else - ((unsigned char *)dst)[0] = val; - ((unsigned char *)dst)[1] = (val >> 8); - ((unsigned char *)dst)[2] = (val >> 16); - ((unsigned char *)dst)[3] = (val >> 24); - ((unsigned char *)dst)[4] = (val >> 32); - ((unsigned char *)dst)[5] = (val >> 40); - ((unsigned char *)dst)[6] = (val >> 48); - ((unsigned char *)dst)[7] = (val >> 56); -#endif -} - -/** - * Encode a 64-bit value into the provided buffer (little endian convention). - * The destination buffer must be properly aligned. - * - * @param dst the destination buffer (64-bit aligned) - * @param val the value to encode - */ -static SPH_INLINE void -sph_enc64le_aligned(void *dst, sph_u64 val) -{ -#if SPH_LITTLE_ENDIAN - *(sph_u64 *)dst = val; -#elif SPH_BIG_ENDIAN - *(sph_u64 *)dst = sph_bswap64(val); -#else - ((unsigned char *)dst)[0] = val; - ((unsigned char *)dst)[1] = (val >> 8); - ((unsigned char *)dst)[2] = (val >> 16); - ((unsigned char *)dst)[3] = (val >> 24); - ((unsigned char *)dst)[4] = (val >> 32); - ((unsigned char *)dst)[5] = (val >> 40); - ((unsigned char *)dst)[6] = (val >> 48); - ((unsigned char *)dst)[7] = (val >> 56); -#endif -} - -/** - * Decode a 64-bit value from the provided buffer (little endian convention). - * - * @param src the source buffer - * @return the decoded value - */ -static SPH_INLINE sph_u64 -sph_dec64le(const void *src) -{ -#if defined SPH_UPTR -#if SPH_UNALIGNED -#if SPH_BIG_ENDIAN - return sph_bswap64(*(const sph_u64 *)src); -#else - return *(const sph_u64 *)src; -#endif -#else - if (((SPH_UPTR)src & 7) == 0) { -#if SPH_BIG_ENDIAN -#if SPH_SPARCV9_GCC_64 && !SPH_NO_ASM - sph_u64 tmp; - - __asm__ __volatile__ ( - "ldxa [%1]0x88,%0" : "=r" (tmp) : "r" (src)); - return tmp; -/* - * Not worth it generally. - * -#elif SPH_PPC32_GCC && !SPH_NO_ASM - return (sph_u64)sph_dec32le_aligned(src) - | ((sph_u64)sph_dec32le_aligned( - (const char *)src + 4) << 32); -#elif SPH_PPC64_GCC && !SPH_NO_ASM - sph_u64 tmp; - - __asm__ __volatile__ ( - "ldbrx %0,0,%1" : "=r" (tmp) : "r" (src)); - return tmp; - */ -#else - return sph_bswap64(*(const sph_u64 *)src); -#endif -#else - return *(const sph_u64 *)src; -#endif - } else { - return (sph_u64)(((const unsigned char *)src)[0]) - | ((sph_u64)(((const unsigned char *)src)[1]) << 8) - | ((sph_u64)(((const unsigned char *)src)[2]) << 16) - | ((sph_u64)(((const unsigned char *)src)[3]) << 24) - | ((sph_u64)(((const unsigned char *)src)[4]) << 32) - | ((sph_u64)(((const unsigned char *)src)[5]) << 40) - | ((sph_u64)(((const unsigned char *)src)[6]) << 48) - | ((sph_u64)(((const unsigned char *)src)[7]) << 56); - } -#endif -#else - return (sph_u64)(((const unsigned char *)src)[0]) - | ((sph_u64)(((const unsigned char *)src)[1]) << 8) - | ((sph_u64)(((const unsigned char *)src)[2]) << 16) - | ((sph_u64)(((const unsigned char *)src)[3]) << 24) - | ((sph_u64)(((const unsigned char *)src)[4]) << 32) - | ((sph_u64)(((const unsigned char *)src)[5]) << 40) - | ((sph_u64)(((const unsigned char *)src)[6]) << 48) - | ((sph_u64)(((const unsigned char *)src)[7]) << 56); -#endif -} - -/** - * Decode a 64-bit value from the provided buffer (little endian convention). - * The source buffer must be properly aligned. - * - * @param src the source buffer (64-bit aligned) - * @return the decoded value - */ -static SPH_INLINE sph_u64 -sph_dec64le_aligned(const void *src) -{ -#if SPH_LITTLE_ENDIAN - return *(const sph_u64 *)src; -#elif SPH_BIG_ENDIAN -#if SPH_SPARCV9_GCC_64 && !SPH_NO_ASM - sph_u64 tmp; - - __asm__ __volatile__ ("ldxa [%1]0x88,%0" : "=r" (tmp) : "r" (src)); - return tmp; -/* - * Not worth it generally. - * -#elif SPH_PPC32_GCC && !SPH_NO_ASM - return (sph_u64)sph_dec32le_aligned(src) - | ((sph_u64)sph_dec32le_aligned((const char *)src + 4) << 32); -#elif SPH_PPC64_GCC && !SPH_NO_ASM - sph_u64 tmp; - - __asm__ __volatile__ ("ldbrx %0,0,%1" : "=r" (tmp) : "r" (src)); - return tmp; - */ -#else - return sph_bswap64(*(const sph_u64 *)src); -#endif -#else - return (sph_u64)(((const unsigned char *)src)[0]) - | ((sph_u64)(((const unsigned char *)src)[1]) << 8) - | ((sph_u64)(((const unsigned char *)src)[2]) << 16) - | ((sph_u64)(((const unsigned char *)src)[3]) << 24) - | ((sph_u64)(((const unsigned char *)src)[4]) << 32) - | ((sph_u64)(((const unsigned char *)src)[5]) << 40) - | ((sph_u64)(((const unsigned char *)src)[6]) << 48) - | ((sph_u64)(((const unsigned char *)src)[7]) << 56); -#endif -} - -#endif - -#endif /* Doxygen excluded block */ - -#endif diff --git a/native/ed25519/sign.c b/native/ed25519/sign.c deleted file mode 100644 index de53742a6..000000000 --- a/native/ed25519/sign.c +++ /dev/null @@ -1,41 +0,0 @@ -#include -#include "crypto_sign.h" -#include "crypto_hash_sha512.h" -#include "ge.h" -#include "sc.h" - -int crypto_sign( - unsigned char *sm,unsigned long long *smlen, - const unsigned char *m,unsigned long long mlen, - const unsigned char *sk -) -{ - unsigned char pk[32]; - unsigned char az[64]; - unsigned char nonce[64]; - unsigned char hram[64]; - ge_p3 R; - - memmove(pk,sk + 32,32); - - crypto_hash_sha512(az,sk,32); - az[0] &= 248; - az[31] &= 63; - az[31] |= 64; - - *smlen = mlen + 64; - memmove(sm + 64,m,mlen); - memmove(sm + 32,az + 32,32); - crypto_hash_sha512(nonce,sm + 32,mlen + 32); - memmove(sm + 32,pk,32); - - sc_reduce(nonce); - ge_scalarmult_base(&R,nonce); - ge_p3_tobytes(sm,&R); - - crypto_hash_sha512(hram,sm,mlen + 64); - sc_reduce(hram); - sc_muladd(sm + 32,hram,az,nonce); - - return 0; -} diff --git a/native/ed25519/sqrtm1.h b/native/ed25519/sqrtm1.h deleted file mode 100644 index d8caa23b6..000000000 --- a/native/ed25519/sqrtm1.h +++ /dev/null @@ -1 +0,0 @@ --32595792,-7943725,9377950,3500415,12389472,-272473,-25146209,-2005654,326686,11406482