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#ifndef AWS_COMMON_MATH_H #define AWS_COMMON_MATH_H /** * Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. * SPDX-License-Identifier: Apache-2.0. */ #include #include #include #include AWS_PUSH_SANE_WARNING_LEVEL /* The number of bits in a size_t variable */ #if SIZE_MAX == UINT32_MAX # define SIZE_BITS 32 #elif SIZE_MAX == UINT64_MAX # define SIZE_BITS 64 #else # error "Target not supported" #endif /* The largest power of two that can be stored in a size_t */ #define SIZE_MAX_POWER_OF_TWO (((size_t)1) << (SIZE_BITS - 1)) AWS_EXTERN_C_BEGIN /** * Multiplies a * b. If the result overflows, returns 2^64 - 1. */ AWS_STATIC_IMPL uint64_t aws_mul_u64_saturating(uint64_t a, uint64_t b); /** * If a * b overflows, returns AWS_OP_ERR; otherwise multiplies * a * b, returns the result in *r, and returns AWS_OP_SUCCESS. */ AWS_STATIC_IMPL int aws_mul_u64_checked(uint64_t a, uint64_t b, uint64_t *r); /** * Multiplies a * b. If the result overflows, returns 2^32 - 1. */ AWS_STATIC_IMPL uint32_t aws_mul_u32_saturating(uint32_t a, uint32_t b); /** * If a * b overflows, returns AWS_OP_ERR; otherwise multiplies * a * b, returns the result in *r, and returns AWS_OP_SUCCESS. */ AWS_STATIC_IMPL int aws_mul_u32_checked(uint32_t a, uint32_t b, uint32_t *r); /** * Adds a + b. If the result overflows returns 2^64 - 1. */ AWS_STATIC_IMPL uint64_t aws_add_u64_saturating(uint64_t a, uint64_t b); /** * If a + b overflows, returns AWS_OP_ERR; otherwise adds * a + b, returns the result in *r, and returns AWS_OP_SUCCESS. */ AWS_STATIC_IMPL int aws_add_u64_checked(uint64_t a, uint64_t b, uint64_t *r); /** * Adds a + b. If the result overflows returns 2^32 - 1. */ AWS_STATIC_IMPL uint32_t aws_add_u32_saturating(uint32_t a, uint32_t b); /** * If a + b overflows, returns AWS_OP_ERR; otherwise adds * a + b, returns the result in *r, and returns AWS_OP_SUCCESS. */ AWS_STATIC_IMPL int aws_add_u32_checked(uint32_t a, uint32_t b, uint32_t *r); /** * Subtracts a - b. If the result overflows returns 0. */ AWS_STATIC_IMPL uint64_t aws_sub_u64_saturating(uint64_t a, uint64_t b); /** * If a - b overflows, returns AWS_OP_ERR; otherwise subtracts * a - b, returns the result in *r, and returns AWS_OP_SUCCESS. */ AWS_STATIC_IMPL int aws_sub_u64_checked(uint64_t a, uint64_t b, uint64_t *r); /** * Subtracts a - b. If the result overflows returns 0. */ AWS_STATIC_IMPL uint32_t aws_sub_u32_saturating(uint32_t a, uint32_t b); /** * If a - b overflows, returns AWS_OP_ERR; otherwise subtracts * a - b, returns the result in *r, and returns AWS_OP_SUCCESS. */ AWS_STATIC_IMPL int aws_sub_u32_checked(uint32_t a, uint32_t b, uint32_t *r); /** * Multiplies a * b. If the result overflows, returns SIZE_MAX. */ AWS_STATIC_IMPL size_t aws_mul_size_saturating(size_t a, size_t b); /** * Multiplies a * b and returns the result in *r. If the result * overflows, returns AWS_OP_ERR; otherwise returns AWS_OP_SUCCESS. */ AWS_STATIC_IMPL int aws_mul_size_checked(size_t a, size_t b, size_t *r); /** * Adds a + b. If the result overflows returns SIZE_MAX. */ AWS_STATIC_IMPL size_t aws_add_size_saturating(size_t a, size_t b); /** * Adds a + b and returns the result in *r. If the result * overflows, returns AWS_OP_ERR; otherwise returns AWS_OP_SUCCESS. */ AWS_STATIC_IMPL int aws_add_size_checked(size_t a, size_t b, size_t *r); /** * Adds [num] arguments (expected to be of size_t), and returns the result in *r. * If the result overflows, returns AWS_OP_ERR; otherwise returns AWS_OP_SUCCESS. */ AWS_COMMON_API int aws_add_size_checked_varargs(size_t num, size_t *r, ...); /** * Subtracts a - b. If the result overflows returns 0. */ AWS_STATIC_IMPL size_t aws_sub_size_saturating(size_t a, size_t b); /** * If a - b overflows, returns AWS_OP_ERR; otherwise subtracts * a - b, returns the result in *r, and returns AWS_OP_SUCCESS. */ AWS_STATIC_IMPL int aws_sub_size_checked(size_t a, size_t b, size_t *r); /** * Function to check if x is power of 2 */ AWS_STATIC_IMPL bool aws_is_power_of_two(const size_t x); /** * Function to find the smallest result that is power of 2 >= n. Returns AWS_OP_ERR if this cannot * be done without overflow */ AWS_STATIC_IMPL int aws_round_up_to_power_of_two(size_t n, size_t *result); /** * Counts the number of leading 0 bits in an integer. 0 will return the size of the integer in bits. */ AWS_STATIC_IMPL size_t aws_clz_u32(uint32_t n); AWS_STATIC_IMPL size_t aws_clz_i32(int32_t n); AWS_STATIC_IMPL size_t aws_clz_u64(uint64_t n); AWS_STATIC_IMPL size_t aws_clz_i64(int64_t n); AWS_STATIC_IMPL size_t aws_clz_size(size_t n); /** * Counts the number of trailing 0 bits in an integer. 0 will return the size of the integer in bits. */ AWS_STATIC_IMPL size_t aws_ctz_u32(uint32_t n); AWS_STATIC_IMPL size_t aws_ctz_i32(int32_t n); AWS_STATIC_IMPL size_t aws_ctz_u64(uint64_t n); AWS_STATIC_IMPL size_t aws_ctz_i64(int64_t n); AWS_STATIC_IMPL size_t aws_ctz_size(size_t n); AWS_STATIC_IMPL uint8_t aws_min_u8(uint8_t a, uint8_t b); AWS_STATIC_IMPL uint8_t aws_max_u8(uint8_t a, uint8_t b); AWS_STATIC_IMPL int8_t aws_min_i8(int8_t a, int8_t b); AWS_STATIC_IMPL int8_t aws_max_i8(int8_t a, int8_t b); AWS_STATIC_IMPL uint16_t aws_min_u16(uint16_t a, uint16_t b); AWS_STATIC_IMPL uint16_t aws_max_u16(uint16_t a, uint16_t b); AWS_STATIC_IMPL int16_t aws_min_i16(int16_t a, int16_t b); AWS_STATIC_IMPL int16_t aws_max_i16(int16_t a, int16_t b); AWS_STATIC_IMPL uint32_t aws_min_u32(uint32_t a, uint32_t b); AWS_STATIC_IMPL uint32_t aws_max_u32(uint32_t a, uint32_t b); AWS_STATIC_IMPL int32_t aws_min_i32(int32_t a, int32_t b); AWS_STATIC_IMPL int32_t aws_max_i32(int32_t a, int32_t b); AWS_STATIC_IMPL uint64_t aws_min_u64(uint64_t a, uint64_t b); AWS_STATIC_IMPL uint64_t aws_max_u64(uint64_t a, uint64_t b); AWS_STATIC_IMPL int64_t aws_min_i64(int64_t a, int64_t b); AWS_STATIC_IMPL int64_t aws_max_i64(int64_t a, int64_t b); AWS_STATIC_IMPL size_t aws_min_size(size_t a, size_t b); AWS_STATIC_IMPL size_t aws_max_size(size_t a, size_t b); AWS_STATIC_IMPL int aws_min_int(int a, int b); AWS_STATIC_IMPL int aws_max_int(int a, int b); AWS_STATIC_IMPL float aws_min_float(float a, float b); AWS_STATIC_IMPL float aws_max_float(float a, float b); AWS_STATIC_IMPL double aws_min_double(double a, double b); AWS_STATIC_IMPL double aws_max_double(double a, double b); AWS_EXTERN_C_END #ifndef AWS_NO_STATIC_IMPL # include #endif /* AWS_NO_STATIC_IMPL */ AWS_POP_SANE_WARNING_LEVEL #endif /* AWS_COMMON_MATH_H */