#include #include "ed25519-donna.h" static int test_adds() { #if defined(HAVE_UINT128) && !defined(ED25519_SSE2) /* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */ static const bignum25519 max_bignum = { 0x7ffffffffffff,0x8000000001230,0x7ffffffffffff,0x7ffffffffffff,0x7ffffffffffff }; /* what max_bignum should fully reduce to */ static const unsigned char max_bignum_raw[32] = { 0x12,0x00,0x00,0x00,0x00,0x00,0x88,0x91,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00 }; /* (max_bignum + max_bignum)^2 */ static const unsigned char max_bignum2_squared_raw[32] = { 0x10,0x05,0x00,0x00,0x00,0x00,0x80,0xdc,0x51,0x00,0x00,0x00,0x00,0x61,0xed,0x4a, 0x01,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, }; /* ((max_bignum + max_bignum) + max_bignum)^2 */ static const unsigned char max_bignum3_squared_raw[32] = { 0x64,0x0b,0x00,0x00,0x00,0x00,0x20,0x30,0xb8,0x00,0x00,0x00,0x40,0x1a,0x96,0xe8, 0x02,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, }; #else /* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */ static const bignum25519 ALIGN(16) max_bignum = { 0x3ffffff,0x2000300,0x3ffffff,0x1ffffff,0x3ffffff, 0x1ffffff,0x3ffffff,0x1ffffff,0x3ffffff,0x1ffffff }; /* what max_bignum should fully reduce to */ static const unsigned char max_bignum2_squared_raw[32] = { 0x10,0x05,0x00,0x40,0xc2,0x06,0x40,0x80,0x41,0x02,0x00,0x00,0x00,0x00,0x00,0x00, 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, }; /* (max_bignum * max_bignum) */ static const unsigned char max_bignum3_squared_raw[32] = { 0x64,0x0b,0x00,0x10,0x35,0x0f,0x90,0x60,0x13,0x05,0x00,0x00,0x00,0x00,0x00,0x00, 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, }; #endif unsigned char result[32]; static const bignum25519 ALIGN(16) zero = {0}; bignum25519 ALIGN(16) a, b, c; size_t i; /* a = (max_bignum + max_bignum) */ curve25519_add(a, max_bignum, max_bignum); /* b = ((max_bignum + max_bignum) * (max_bignum + max_bignum)) */ curve25519_mul(b, a, a); curve25519_contract(result, b); if (memcmp(result, max_bignum2_squared_raw, 32) != 0) return -1; curve25519_square(b, a); curve25519_contract(result, b); if (memcmp(result, max_bignum2_squared_raw, 32) != 0) return -1; /* b = (max_bignum + max_bignum + max_bignum) */ curve25519_add_after_basic(b, a, max_bignum); /* a = ((max_bignum + max_bignum + max_bignum) * (max_bignum + max_bignum + max_bignum)) */ curve25519_mul(a, b, b); curve25519_contract(result, a); if (memcmp(result, max_bignum3_squared_raw, 32) != 0) return -1; curve25519_square(a, b); curve25519_contract(result, a); if (memcmp(result, max_bignum3_squared_raw, 32) != 0) return -1; return 0; } static int test_subs() { #if defined(HAVE_UINT128) && !defined(ED25519_SSE2) /* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */ static const bignum25519 max_bignum = { 0x7ffffffffffff,0x8000000001230,0x7ffffffffffff,0x7ffffffffffff,0x7ffffffffffff }; /* what max_bignum should fully reduce to */ static const unsigned char max_bignum_raw[32] = { 0x12,0x00,0x00,0x00,0x00,0x00,0x88,0x91,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00 }; /* (max_bignum * max_bignum) */ static const unsigned char max_bignum_squared_raw[32] = { 0x44,0x01,0x00,0x00,0x00,0x00,0x20,0x77,0x14,0x00,0x00,0x00,0x40,0x58,0xbb,0x52, 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00 }; #else /* largest result for each limb from a mult or square: all elements except r1 reduced, r1 overflowed as far as possible */ static const bignum25519 ALIGN(16) max_bignum = { 0x3ffffff,0x2000300,0x3ffffff,0x1ffffff,0x3ffffff, 0x1ffffff,0x3ffffff,0x1ffffff,0x3ffffff,0x1ffffff }; /* what max_bignum should fully reduce to */ static const unsigned char max_bignum_raw[32] = { 0x12,0x00,0x00,0x04,0x0c,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, }; /* (max_bignum * max_bignum) */ static const unsigned char max_bignum_squared_raw[32] = { 0x44,0x01,0x00,0x90,0xb0,0x01,0x10,0x60,0x90,0x00,0x00,0x00,0x00,0x00,0x00,0x00, 0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, }; #endif unsigned char result[32]; static const bignum25519 ALIGN(16) zero = {0}; bignum25519 ALIGN(16) a, b, c; size_t i; /* a = max_bignum - 0, which expands to 2p + max_bignum - 0 */ curve25519_sub(a, max_bignum, zero); curve25519_contract(result, a); if (memcmp(result, max_bignum_raw, 32) != 0) return -1; /* b = (max_bignum * max_bignum) */ curve25519_mul(b, a, a); curve25519_contract(result, b); if (memcmp(result, max_bignum_squared_raw, 32) != 0) return -1; curve25519_square(b, a); curve25519_contract(result, b); if (memcmp(result, max_bignum_squared_raw, 32) != 0) return -1; /* b = ((a - 0) - 0) */ curve25519_sub_after_basic(b, a, zero); curve25519_contract(result, b); if (memcmp(result, max_bignum_raw, 32) != 0) return -1; /* a = (max_bignum * max_bignum) */ curve25519_mul(a, b, b); curve25519_contract(result, a); if (memcmp(result, max_bignum_squared_raw, 32) != 0) return -1; curve25519_square(a, b); curve25519_contract(result, a); if (memcmp(result, max_bignum_squared_raw, 32) != 0) return -1; return 0; } int main() { int ret = 0; int single; single = test_adds(); if (single) printf("test_adds: FAILED\n"); ret |= single; single = test_subs(); if (single) printf("test_subs: FAILED\n"); ret |= single; if (!ret) printf("success\n"); return ret; }