1 /**********************************************************************
2 * Copyright (c) 2020 Pieter Wuille *
3 * Distributed under the MIT software license, see the accompanying *
4 * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
5 **********************************************************************/
7 #ifndef SECP256K1_ASSUMPTIONS_H
8 #define SECP256K1_ASSUMPTIONS_H
12 /* This library, like most software, relies on a number of compiler implementation defined (but not undefined)
13 behaviours. Although the behaviours we require are essentially universal we test them specifically here to
14 reduce the odds of experiencing an unwelcome surprise.
17 struct secp256k1_assumption_checker {
18 /* This uses a trick to implement a static assertion in C89: a type with an array of negative size is not
21 /* Bytes are 8 bits. */
24 /* Conversions from unsigned to signed outside of the bounds of the signed type are
25 implementation-defined. Verify that they function as reinterpreting the lower
26 bits of the input in two's complement notation. Do this for conversions:
27 - from uint(N)_t to int(N)_t with negative result
28 - from uint(2N)_t to int(N)_t with negative result
29 - from int(2N)_t to int(N)_t with negative result
30 - from int(2N)_t to int(N)_t with positive result */
33 ((int8_t)(uint8_t)0xAB == (int8_t)-(int8_t)0x55) &&
34 ((int8_t)(uint16_t)0xABCD == (int8_t)-(int8_t)0x33) &&
35 ((int8_t)(int16_t)(uint16_t)0xCDEF == (int8_t)(uint8_t)0xEF) &&
36 ((int8_t)(int16_t)(uint16_t)0x9234 == (int8_t)(uint8_t)0x34) &&
39 ((int16_t)(uint16_t)0xBCDE == (int16_t)-(int16_t)0x4322) &&
40 ((int16_t)(uint32_t)0xA1B2C3D4 == (int16_t)-(int16_t)0x3C2C) &&
41 ((int16_t)(int32_t)(uint32_t)0xC1D2E3F4 == (int16_t)(uint16_t)0xE3F4) &&
42 ((int16_t)(int32_t)(uint32_t)0x92345678 == (int16_t)(uint16_t)0x5678) &&
45 ((int32_t)(uint32_t)0xB2C3D4E5 == (int32_t)-(int32_t)0x4D3C2B1B) &&
46 ((int32_t)(uint64_t)0xA123B456C789D012ULL == (int32_t)-(int32_t)0x38762FEE) &&
47 ((int32_t)(int64_t)(uint64_t)0xC1D2E3F4A5B6C7D8ULL == (int32_t)(uint32_t)0xA5B6C7D8) &&
48 ((int32_t)(int64_t)(uint64_t)0xABCDEF0123456789ULL == (int32_t)(uint32_t)0x23456789) &&
51 ((int64_t)(uint64_t)0xB123C456D789E012ULL == (int64_t)-(int64_t)0x4EDC3BA928761FEEULL) &&
52 #if defined(SECP256K1_WIDEMUL_INT128)
53 ((int64_t)(((uint128_t)0xA1234567B8901234ULL << 64) + 0xC5678901D2345678ULL) == (int64_t)-(int64_t)0x3A9876FE2DCBA988ULL) &&
54 (((int64_t)(int128_t)(((uint128_t)0xB1C2D3E4F5A6B7C8ULL << 64) + 0xD9E0F1A2B3C4D5E6ULL)) == (int64_t)(uint64_t)0xD9E0F1A2B3C4D5E6ULL) &&
55 (((int64_t)(int128_t)(((uint128_t)0xABCDEF0123456789ULL << 64) + 0x0123456789ABCDEFULL)) == (int64_t)(uint64_t)0x0123456789ABCDEFULL) &&
58 ((int128_t)(((uint128_t)0xB1234567C8901234ULL << 64) + 0xD5678901E2345678ULL) == (int128_t)(-(int128_t)0x8E1648B3F50E80DCULL * 0x8E1648B3F50E80DDULL + 0x5EA688D5482F9464ULL)) &&
61 /* Right shift on negative signed values is implementation defined. Verify that it
62 acts as a right shift in two's complement with sign extension (i.e duplicating
63 the top bit into newly added bits). */
64 ((((int8_t)0xE8) >> 2) == (int8_t)(uint8_t)0xFA) &&
65 ((((int16_t)0xE9AC) >> 4) == (int16_t)(uint16_t)0xFE9A) &&
66 ((((int32_t)0x937C918A) >> 9) == (int32_t)(uint32_t)0xFFC9BE48) &&
67 ((((int64_t)0xA8B72231DF9CF4B9ULL) >> 19) == (int64_t)(uint64_t)0xFFFFF516E4463BF3ULL) &&
68 #if defined(SECP256K1_WIDEMUL_INT128)
69 ((((int128_t)(((uint128_t)0xCD833A65684A0DBCULL << 64) + 0xB349312F71EA7637ULL)) >> 39) == (int128_t)(((uint128_t)0xFFFFFFFFFF9B0674ULL << 64) + 0xCAD0941B79669262ULL)) &&
74 #endif /* SECP256K1_ASSUMPTIONS_H */