/********************************************************************** * Copyright (c) 2020 Pieter Wuille * * Distributed under the MIT software license, see the accompanying * * file COPYING or http://www.opensource.org/licenses/mit-license.php.* **********************************************************************/ #ifndef SECP256K1_ASSUMPTIONS_H #define SECP256K1_ASSUMPTIONS_H #include "util.h" /* This library, like most software, relies on a number of compiler implementation defined (but not undefined) behaviours. Although the behaviours we require are essentially universal we test them specifically here to reduce the odds of experiencing an unwelcome surprise. */ struct secp256k1_assumption_checker { /* This uses a trick to implement a static assertion in C89: a type with an array of negative size is not allowed. */ int dummy_array[( /* Bytes are 8 bits. */ CHAR_BIT == 8 && /* Conversions from unsigned to signed outside of the bounds of the signed type are implementation-defined. Verify that they function as reinterpreting the lower bits of the input in two's complement notation. Do this for conversions: - from uint(N)_t to int(N)_t with negative result - from uint(2N)_t to int(N)_t with negative result - from int(2N)_t to int(N)_t with negative result - from int(2N)_t to int(N)_t with positive result */ /* To int8_t. */ ((int8_t)(uint8_t)0xAB == (int8_t)-(int8_t)0x55) && ((int8_t)(uint16_t)0xABCD == (int8_t)-(int8_t)0x33) && ((int8_t)(int16_t)(uint16_t)0xCDEF == (int8_t)(uint8_t)0xEF) && ((int8_t)(int16_t)(uint16_t)0x9234 == (int8_t)(uint8_t)0x34) && /* To int16_t. */ ((int16_t)(uint16_t)0xBCDE == (int16_t)-(int16_t)0x4322) && ((int16_t)(uint32_t)0xA1B2C3D4 == (int16_t)-(int16_t)0x3C2C) && ((int16_t)(int32_t)(uint32_t)0xC1D2E3F4 == (int16_t)(uint16_t)0xE3F4) && ((int16_t)(int32_t)(uint32_t)0x92345678 == (int16_t)(uint16_t)0x5678) && /* To int32_t. */ ((int32_t)(uint32_t)0xB2C3D4E5 == (int32_t)-(int32_t)0x4D3C2B1B) && ((int32_t)(uint64_t)0xA123B456C789D012ULL == (int32_t)-(int32_t)0x38762FEE) && ((int32_t)(int64_t)(uint64_t)0xC1D2E3F4A5B6C7D8ULL == (int32_t)(uint32_t)0xA5B6C7D8) && ((int32_t)(int64_t)(uint64_t)0xABCDEF0123456789ULL == (int32_t)(uint32_t)0x23456789) && /* To int64_t. */ ((int64_t)(uint64_t)0xB123C456D789E012ULL == (int64_t)-(int64_t)0x4EDC3BA928761FEEULL) && #if defined(SECP256K1_WIDEMUL_INT128) ((int64_t)(((uint128_t)0xA1234567B8901234ULL << 64) + 0xC5678901D2345678ULL) == (int64_t)-(int64_t)0x3A9876FE2DCBA988ULL) && (((int64_t)(int128_t)(((uint128_t)0xB1C2D3E4F5A6B7C8ULL << 64) + 0xD9E0F1A2B3C4D5E6ULL)) == (int64_t)(uint64_t)0xD9E0F1A2B3C4D5E6ULL) && (((int64_t)(int128_t)(((uint128_t)0xABCDEF0123456789ULL << 64) + 0x0123456789ABCDEFULL)) == (int64_t)(uint64_t)0x0123456789ABCDEFULL) && /* To int128_t. */ ((int128_t)(((uint128_t)0xB1234567C8901234ULL << 64) + 0xD5678901E2345678ULL) == (int128_t)(-(int128_t)0x8E1648B3F50E80DCULL * 0x8E1648B3F50E80DDULL + 0x5EA688D5482F9464ULL)) && #endif /* Right shift on negative signed values is implementation defined. Verify that it acts as a right shift in two's complement with sign extension (i.e duplicating the top bit into newly added bits). */ ((((int8_t)0xE8) >> 2) == (int8_t)(uint8_t)0xFA) && ((((int16_t)0xE9AC) >> 4) == (int16_t)(uint16_t)0xFE9A) && ((((int32_t)0x937C918A) >> 9) == (int32_t)(uint32_t)0xFFC9BE48) && ((((int64_t)0xA8B72231DF9CF4B9ULL) >> 19) == (int64_t)(uint64_t)0xFFFFF516E4463BF3ULL) && #if defined(SECP256K1_WIDEMUL_INT128) ((((int128_t)(((uint128_t)0xCD833A65684A0DBCULL << 64) + 0xB349312F71EA7637ULL)) >> 39) == (int128_t)(((uint128_t)0xFFFFFFFFFF9B0674ULL << 64) + 0xCAD0941B79669262ULL)) && #endif 1) * 2 - 1]; }; #endif /* SECP256K1_ASSUMPTIONS_H */