/* Copyright (c) INRIA and Microsoft Corporation. All rights reserved. Licensed under the Apache 2.0 License. */ #ifndef __FStar_UInt128_Verified_H #define __FStar_UInt128_Verified_H #include #include #include "kremlin/internal/types.h" #include "kremlin/internal/target.h" #include "FStar_UInt_8_16_32_64.h" static inline uint64_t FStar_UInt128_constant_time_carry(uint64_t a, uint64_t b) { return (a ^ ((a ^ b) | ((a - b) ^ b))) >> (uint32_t)63U; } static inline uint64_t FStar_UInt128_carry(uint64_t a, uint64_t b) { return FStar_UInt128_constant_time_carry(a, b); } static inline FStar_UInt128_uint128 FStar_UInt128_add(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { FStar_UInt128_uint128 lit; lit.low = a.low + b.low; lit.high = a.high + b.high + FStar_UInt128_carry(a.low + b.low, b.low); return lit; } static inline FStar_UInt128_uint128 FStar_UInt128_add_underspec(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { FStar_UInt128_uint128 lit; lit.low = a.low + b.low; lit.high = a.high + b.high + FStar_UInt128_carry(a.low + b.low, b.low); return lit; } static inline FStar_UInt128_uint128 FStar_UInt128_add_mod(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { FStar_UInt128_uint128 lit; lit.low = a.low + b.low; lit.high = a.high + b.high + FStar_UInt128_carry(a.low + b.low, b.low); return lit; } static inline FStar_UInt128_uint128 FStar_UInt128_sub(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { FStar_UInt128_uint128 lit; lit.low = a.low - b.low; lit.high = a.high - b.high - FStar_UInt128_carry(a.low, a.low - b.low); return lit; } static inline FStar_UInt128_uint128 FStar_UInt128_sub_underspec(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { FStar_UInt128_uint128 lit; lit.low = a.low - b.low; lit.high = a.high - b.high - FStar_UInt128_carry(a.low, a.low - b.low); return lit; } static inline FStar_UInt128_uint128 FStar_UInt128_sub_mod_impl(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { FStar_UInt128_uint128 lit; lit.low = a.low - b.low; lit.high = a.high - b.high - FStar_UInt128_carry(a.low, a.low - b.low); return lit; } static inline FStar_UInt128_uint128 FStar_UInt128_sub_mod(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { return FStar_UInt128_sub_mod_impl(a, b); } static inline FStar_UInt128_uint128 FStar_UInt128_logand(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { FStar_UInt128_uint128 lit; lit.low = a.low & b.low; lit.high = a.high & b.high; return lit; } static inline FStar_UInt128_uint128 FStar_UInt128_logxor(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { FStar_UInt128_uint128 lit; lit.low = a.low ^ b.low; lit.high = a.high ^ b.high; return lit; } static inline FStar_UInt128_uint128 FStar_UInt128_logor(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { FStar_UInt128_uint128 lit; lit.low = a.low | b.low; lit.high = a.high | b.high; return lit; } static inline FStar_UInt128_uint128 FStar_UInt128_lognot(FStar_UInt128_uint128 a) { FStar_UInt128_uint128 lit; lit.low = ~a.low; lit.high = ~a.high; return lit; } static uint32_t FStar_UInt128_u32_64 = (uint32_t)64U; static inline uint64_t FStar_UInt128_add_u64_shift_left(uint64_t hi, uint64_t lo, uint32_t s) { return (hi << s) + (lo >> (FStar_UInt128_u32_64 - s)); } static inline uint64_t FStar_UInt128_add_u64_shift_left_respec(uint64_t hi, uint64_t lo, uint32_t s) { return FStar_UInt128_add_u64_shift_left(hi, lo, s); } static inline FStar_UInt128_uint128 FStar_UInt128_shift_left_small(FStar_UInt128_uint128 a, uint32_t s) { if (s == (uint32_t)0U) { return a; } else { FStar_UInt128_uint128 lit; lit.low = a.low << s; lit.high = FStar_UInt128_add_u64_shift_left_respec(a.high, a.low, s); return lit; } } static inline FStar_UInt128_uint128 FStar_UInt128_shift_left_large(FStar_UInt128_uint128 a, uint32_t s) { FStar_UInt128_uint128 lit; lit.low = (uint64_t)0U; lit.high = a.low << (s - FStar_UInt128_u32_64); return lit; } static inline FStar_UInt128_uint128 FStar_UInt128_shift_left(FStar_UInt128_uint128 a, uint32_t s) { if (s < FStar_UInt128_u32_64) { return FStar_UInt128_shift_left_small(a, s); } else { return FStar_UInt128_shift_left_large(a, s); } } static inline uint64_t FStar_UInt128_add_u64_shift_right(uint64_t hi, uint64_t lo, uint32_t s) { return (lo >> s) + (hi << (FStar_UInt128_u32_64 - s)); } static inline uint64_t FStar_UInt128_add_u64_shift_right_respec(uint64_t hi, uint64_t lo, uint32_t s) { return FStar_UInt128_add_u64_shift_right(hi, lo, s); } static inline FStar_UInt128_uint128 FStar_UInt128_shift_right_small(FStar_UInt128_uint128 a, uint32_t s) { if (s == (uint32_t)0U) { return a; } else { FStar_UInt128_uint128 lit; lit.low = FStar_UInt128_add_u64_shift_right_respec(a.high, a.low, s); lit.high = a.high >> s; return lit; } } static inline FStar_UInt128_uint128 FStar_UInt128_shift_right_large(FStar_UInt128_uint128 a, uint32_t s) { FStar_UInt128_uint128 lit; lit.low = a.high >> (s - FStar_UInt128_u32_64); lit.high = (uint64_t)0U; return lit; } static inline FStar_UInt128_uint128 FStar_UInt128_shift_right(FStar_UInt128_uint128 a, uint32_t s) { if (s < FStar_UInt128_u32_64) { return FStar_UInt128_shift_right_small(a, s); } else { return FStar_UInt128_shift_right_large(a, s); } } static inline bool FStar_UInt128_eq(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { return a.low == b.low && a.high == b.high; } static inline bool FStar_UInt128_gt(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { return a.high > b.high || (a.high == b.high && a.low > b.low); } static inline bool FStar_UInt128_lt(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { return a.high < b.high || (a.high == b.high && a.low < b.low); } static inline bool FStar_UInt128_gte(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { return a.high > b.high || (a.high == b.high && a.low >= b.low); } static inline bool FStar_UInt128_lte(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { return a.high < b.high || (a.high == b.high && a.low <= b.low); } static inline FStar_UInt128_uint128 FStar_UInt128_eq_mask(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { FStar_UInt128_uint128 lit; lit.low = FStar_UInt64_eq_mask(a.low, b.low) & FStar_UInt64_eq_mask(a.high, b.high); lit.high = FStar_UInt64_eq_mask(a.low, b.low) & FStar_UInt64_eq_mask(a.high, b.high); return lit; } static inline FStar_UInt128_uint128 FStar_UInt128_gte_mask(FStar_UInt128_uint128 a, FStar_UInt128_uint128 b) { FStar_UInt128_uint128 lit; lit.low = (FStar_UInt64_gte_mask(a.high, b.high) & ~FStar_UInt64_eq_mask(a.high, b.high)) | (FStar_UInt64_eq_mask(a.high, b.high) & FStar_UInt64_gte_mask(a.low, b.low)); lit.high = (FStar_UInt64_gte_mask(a.high, b.high) & ~FStar_UInt64_eq_mask(a.high, b.high)) | (FStar_UInt64_eq_mask(a.high, b.high) & FStar_UInt64_gte_mask(a.low, b.low)); return lit; } static inline FStar_UInt128_uint128 FStar_UInt128_uint64_to_uint128(uint64_t a) { FStar_UInt128_uint128 lit; lit.low = a; lit.high = (uint64_t)0U; return lit; } static inline uint64_t FStar_UInt128_uint128_to_uint64(FStar_UInt128_uint128 a) { return a.low; } static inline uint64_t FStar_UInt128_u64_mod_32(uint64_t a) { return a & (uint64_t)0xffffffffU; } static uint32_t FStar_UInt128_u32_32 = (uint32_t)32U; static inline uint64_t FStar_UInt128_u32_combine(uint64_t hi, uint64_t lo) { return lo + (hi << FStar_UInt128_u32_32); } static inline FStar_UInt128_uint128 FStar_UInt128_mul32(uint64_t x, uint32_t y) { FStar_UInt128_uint128 lit; lit.low = FStar_UInt128_u32_combine((x >> FStar_UInt128_u32_32) * (uint64_t)y + (FStar_UInt128_u64_mod_32(x) * (uint64_t)y >> FStar_UInt128_u32_32), FStar_UInt128_u64_mod_32(FStar_UInt128_u64_mod_32(x) * (uint64_t)y)); lit.high = ((x >> FStar_UInt128_u32_32) * (uint64_t)y + (FStar_UInt128_u64_mod_32(x) * (uint64_t)y >> FStar_UInt128_u32_32)) >> FStar_UInt128_u32_32; return lit; } static inline uint64_t FStar_UInt128_u32_combine_(uint64_t hi, uint64_t lo) { return lo + (hi << FStar_UInt128_u32_32); } static inline FStar_UInt128_uint128 FStar_UInt128_mul_wide(uint64_t x, uint64_t y) { FStar_UInt128_uint128 lit; lit.low = FStar_UInt128_u32_combine_(FStar_UInt128_u64_mod_32(x) * (y >> FStar_UInt128_u32_32) + FStar_UInt128_u64_mod_32((x >> FStar_UInt128_u32_32) * FStar_UInt128_u64_mod_32(y) + (FStar_UInt128_u64_mod_32(x) * FStar_UInt128_u64_mod_32(y) >> FStar_UInt128_u32_32)), FStar_UInt128_u64_mod_32(FStar_UInt128_u64_mod_32(x) * FStar_UInt128_u64_mod_32(y))); lit.high = (x >> FStar_UInt128_u32_32) * (y >> FStar_UInt128_u32_32) + (((x >> FStar_UInt128_u32_32) * FStar_UInt128_u64_mod_32(y) + (FStar_UInt128_u64_mod_32(x) * FStar_UInt128_u64_mod_32(y) >> FStar_UInt128_u32_32)) >> FStar_UInt128_u32_32) + ((FStar_UInt128_u64_mod_32(x) * (y >> FStar_UInt128_u32_32) + FStar_UInt128_u64_mod_32((x >> FStar_UInt128_u32_32) * FStar_UInt128_u64_mod_32(y) + (FStar_UInt128_u64_mod_32(x) * FStar_UInt128_u64_mod_32(y) >> FStar_UInt128_u32_32))) >> FStar_UInt128_u32_32); return lit; } #define __FStar_UInt128_Verified_H_DEFINED #endif