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#ifndef AWS_COMMON_MATH_FALLBACK_INL 
#define AWS_COMMON_MATH_FALLBACK_INL 
 
/** 
 * Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. 
 * SPDX-License-Identifier: Apache-2.0. 
 */ 
 
/* 
 * This header is already included, but include it again to make editor 
 * highlighting happier. 
 */ 
#include <aws/common/common.h> 
#include <aws/common/math.h> 
 
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 > 0 && b > 0 && a > (UINT64_MAX / b)) 
        return UINT64_MAX; 
    return a * 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) { 
    if (a > 0 && b > 0 && a > (UINT64_MAX / b)) 
        return aws_raise_error(AWS_ERROR_OVERFLOW_DETECTED); 
    *r = a * b; 
    return AWS_OP_SUCCESS; 
} 
 
/** 
 * 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 > 0 && b > 0 && a > (UINT32_MAX / b)) 
        return UINT32_MAX; 
    return a * 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) { 
    if (a > 0 && b > 0 && a > (UINT32_MAX / b)) 
        return aws_raise_error(AWS_ERROR_OVERFLOW_DETECTED); 
    *r = a * b; 
    return AWS_OP_SUCCESS; 
} 
 
/** 
 * 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 ((b > 0) && (a > (UINT64_MAX - b))) 
        return UINT64_MAX; 
    return a + 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) { 
    if ((b > 0) && (a > (UINT64_MAX - b))) 
        return aws_raise_error(AWS_ERROR_OVERFLOW_DETECTED); 
    *r = a + b; 
    return AWS_OP_SUCCESS; 
} 
 
/** 
 * 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 ((b > 0) && (a > (UINT32_MAX - b))) 
        return UINT32_MAX; 
    return a + 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) { 
    if ((b > 0) && (a > (UINT32_MAX - b))) 
        return aws_raise_error(AWS_ERROR_OVERFLOW_DETECTED); 
    *r = a + b; 
    return AWS_OP_SUCCESS; 
} 
 
/* 
 * These are pure C implementations of the count leading/trailing zeros calls 
 * They should not be necessary unless using a really esoteric compiler with 
 * no intrinsics for these functions whatsoever. 
 */ 
#if !defined(__clang__) && !defined(__GNUC__) 
/** 
 * Search from the MSB to LSB, looking for a 1 
 */ 
AWS_STATIC_IMPL size_t aws_clz_u32(uint32_t n) { 
    return aws_clz_i32((int32_t)n); 
} 
 
AWS_STATIC_IMPL size_t aws_clz_i32(int32_t n) { 
    size_t idx = 0; 
    if (n == 0) { 
        return sizeof(n) * 8; 
    } 
    /* sign bit is the first bit */ 
    if (n < 0) { 
        return 0; 
    } 
    while (n >= 0) { 
        ++idx; 
        n <<= 1; 
    } 
    return idx; 
} 
 
AWS_STATIC_IMPL size_t aws_clz_u64(uint64_t n) { 
    return aws_clz_i64((int64_t)n); 
} 
 
AWS_STATIC_IMPL size_t aws_clz_i64(int64_t n) { 
    size_t idx = 0; 
    if (n == 0) { 
        return sizeof(n) * 8; 
    } 
    /* sign bit is the first bit */ 
    if (n < 0) { 
        return 0; 
    } 
    while (n >= 0) { 
        ++idx; 
        n <<= 1; 
    } 
    return idx; 
} 
 
AWS_STATIC_IMPL size_t aws_clz_size(size_t n) { 
#    if SIZE_BITS == 64 
    return aws_clz_u64(n); 
#    else 
    return aws_clz_u32(n); 
#    endif 
} 
 
/** 
 * Search from the LSB to MSB, looking for a 1 
 */ 
AWS_STATIC_IMPL size_t aws_ctz_u32(uint32_t n) { 
    return aws_ctz_i32((int32_t)n); 
} 
 
AWS_STATIC_IMPL size_t aws_ctz_i32(int32_t n) { 
    int32_t idx = 0; 
    const int32_t max_bits = (int32_t)(SIZE_BITS / sizeof(uint8_t)); 
    if (n == 0) { 
        return sizeof(n) * 8; 
    } 
    while (idx < max_bits) { 
        if (n & (1 << idx)) { 
            break; 
        } 
        ++idx; 
    } 
    return (size_t)idx; 
} 
 
AWS_STATIC_IMPL size_t aws_ctz_u64(uint64_t n) { 
    return aws_ctz_i64((int64_t)n); 
} 
 
AWS_STATIC_IMPL size_t aws_ctz_i64(int64_t n) { 
    int64_t idx = 0; 
    const int64_t max_bits = (int64_t)(SIZE_BITS / sizeof(uint8_t)); 
    if (n == 0) { 
        return sizeof(n) * 8; 
    } 
    while (idx < max_bits) { 
        if (n & (1ULL << idx)) { 
            break; 
        } 
        ++idx; 
    } 
    return (size_t)idx; 
} 
 
AWS_STATIC_IMPL size_t aws_ctz_size(size_t n) { 
#    if SIZE_BITS == 64 
    return aws_ctz_u64(n); 
#    else 
    return aws_ctz_u32(n); 
#    endif 
} 
 
#endif 
 
AWS_EXTERN_C_END 
 
#endif /*  AWS_COMMON_MATH_FALLBACK_INL */