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BigInt.c
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BigInt.c
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#ifndef BIG_INT_H
#define BIG_INT_H
#include <stdint.h>
#ifndef NULL
#define NULL 0
#endif
#ifndef BOOL
#define BOOL int8_t
#endif
typedef struct BigInt {
unsigned char* digits; // Array of digits 0-9. Greater indices hold more significant digits.
unsigned int num_digits; // Number of digits actually in the number.
unsigned int num_allocated_digits; // digits array has space for this many digits
BOOL is_negative; // Nonzero if this BigInt is negative, zero otherwise.
} BigInt;
//============================================================================
// Construction and assignment
//============================================================================
// Returns a pointer to a new BigInt initialized to the specified value.
// Caller is responsible for freeing the new BigInt with a
// corresponding call to BigInt_free.
// returns NULL on memory allocation failure.
BigInt* BigInt_construct(int value);
// Returns a pointer to a new BigInt initialized from the supplied BigInt.
// Caller is responsible for freeing the new BigInt with a
// corresponding call to BigInt_free.
// returns NULL on memory allocation failure.
BigInt* BigInt_clone(const BigInt* big_int, unsigned int num_allocated_digits);
// Returns a pointer to a new BigInt initialized from digits in the specified
// zero-terminated string. Caller is responsible for freeing the new BigInt
// with a corresponding call to BigInt_free
BigInt* BigInt_from_string(const char* str);
// Frees the memory for a BigInt allocated using BigInt_construct.
void BigInt_free(BigInt* big_int);
///Sets the value of the target BigInt to the value of the source BigInt.
// Assumes that target and source already point to valid BigInts.
// returns non-zero on success or 0 on failure
BOOL BigInt_assign(BigInt* target, const BigInt* source);
///Sets the value of the target BigInt to the value of the source int.
// returns non-zero on success or 0 on failure
BOOL BigInt_assign_int(BigInt* target, const int source);
// Prints the contents of big_int to stdout.
void BigInt_print(const BigInt* big_int);
// Prints the contents of big_int to output stream.
void BigInt_fprint(FILE *dest, const BigInt* big_int);
// what would be the length of a string if this BigInt were converted to a string
// (see BigInt_to_string() below)
unsigned int BigInt_strlen(const BigInt* big_int);
// write BigInt to a string buffer, returns non-zero on success
// returns zero if BigInt doesn't fit into buf.
// buf_size *must* include the terminating zero byte
BOOL BigInt_to_string(const BigInt* big_int, char* buf, unsigned int buf_size);
// convert BigInt to a newly allocated string.
// returns NULL on failure.
char* BigInt_to_new_string(const BigInt* big_int);
//============================================================================
// Basic mathematical operations
//============================================================================
// Returns -1 if a < b, 0 if a == b, 1 if a > b
int BigInt_compare(const BigInt* a, const BigInt* b);
// Returns -1 if a < b, 0 if a == b, 1 if a > b
int BigInt_compare_int(const BigInt* a, int b);
// Adds the value in addend to big_int. Places the result in big_int.
// returns non-zero on success or 0 on failure
BOOL BigInt_add(BigInt* big_int, const BigInt* addend);
BOOL BigInt_add_int(BigInt* big_int, const int addend);
// Subtracts the value of to_subtract from big_int.
// Places the result in big_int.
// returns non-zero on success or 0 on failure
BOOL BigInt_subtract(BigInt* big_int, const BigInt* to_subtract);
BOOL BigInt_subtract_int(BigInt* big_int, const int to_subtract);
// Multiplies the value in big_int by multiplier. Places the
// result in big_int.
// returns non-zero on success or 0 on failure
BOOL BigInt_multiply(BigInt* big_int, const BigInt* multiplier);
BOOL BigInt_multiply_int(BigInt* big_int, const int multiplier);
// Divides dividend by divisor.
// If only quotient is desired, remainder can be NULL
// If only remainder is desired, quotient can be NULL
// if both quotient and remainder are NULL, this is just a fancy way of burning cpu
// returns non-zero on success or 0 on failure
BOOL BigInt_divide(
BigInt* dividend, BigInt* divisor,
BigInt* quotient, BigInt* remainder
);
// Sets result to the value of big_int as an integer if the
// value of big_int fits within the size of result's type on the target
// environment. returns non-zero on success or 0 on failure.
// result is undefined on failure.
BOOL BigInt_to_int(const BigInt* big_int, int* result);
//============================================================================
// Internal helpers
//============================================================================
// Ensure that big_int has space allocated for at least digits_needed digits.
// returns non-zero on success or 0 on failure
BOOL BigInt_ensure_digits(BigInt* big_int, unsigned int digits_needed);
// Performs an unsigned comparison of the two BigInt parameters; that is, the
// comparison is of their absolute values. Returns 1 if |a| > |b|, 0 if |a| == |b|,
// and -1 if |a| < |b|.
int BigInt_compare_digits(const BigInt* a, const BigInt* b);
// Performs an unsigned addition of to_add to big_int; adds the digits without regard
// for the sign of either parameter.
// returns non-zero on success or 0 on failure
BOOL BigInt_add_digits(BigInt* big_int, const BigInt* to_add);
// Performs an unsigned subtraction of to_subtract from big_int; subtracts the digits
// without regard for the sign of either parameter.
// returns non-zero on success or 0 on failure
BOOL BigInt_subtract_digits(BigInt* big_int, const BigInt* to_subtract);
#endif // BIG_INT_H
#include <assert.h>
#include <math.h>
#include <errno.h>
#include <limits.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#ifndef BIG_INT_H
#define BIG_INT_H
#include <stdint.h>
#ifndef NULL
#define NULL 0
#endif
#ifndef BOOL
#define BOOL int8_t
#endif
typedef struct BigInt {
unsigned char* digits; // Array of digits 0-9. Greater indices hold more significant digits.
unsigned int num_digits; // Number of digits actually in the number.
unsigned int num_allocated_digits; // digits array has space for this many digits
BOOL is_negative; // Nonzero if this BigInt is negative, zero otherwise.
} BigInt;
//============================================================================
// Construction and assignment
//============================================================================
// Returns a pointer to a new BigInt initialized to the specified value.
// Caller is responsible for freeing the new BigInt with a
// corresponding call to BigInt_free.
// returns NULL on memory allocation failure.
BigInt* BigInt_construct(int value);
// Returns a pointer to a new BigInt initialized from the supplied BigInt.
// Caller is responsible for freeing the new BigInt with a
// corresponding call to BigInt_free.
// returns NULL on memory allocation failure.
BigInt* BigInt_clone(const BigInt* big_int, unsigned int num_allocated_digits);
// Returns a pointer to a new BigInt initialized from digits in the specified
// zero-terminated string. Caller is responsible for freeing the new BigInt
// with a corresponding call to BigInt_free
BigInt* BigInt_from_string(const char* str);
// Frees the memory for a BigInt allocated using BigInt_construct.
void BigInt_free(BigInt* big_int);
///Sets the value of the target BigInt to the value of the source BigInt.
// Assumes that target and source already point to valid BigInts.
// returns non-zero on success or 0 on failure
BOOL BigInt_assign(BigInt* target, const BigInt* source);
///Sets the value of the target BigInt to the value of the source int.
// returns non-zero on success or 0 on failure
BOOL BigInt_assign_int(BigInt* target, const int source);
// Prints the contents of big_int to stdout.
void BigInt_print(const BigInt* big_int);
// Prints the contents of big_int to output stream.
void BigInt_fprint(FILE *dest, const BigInt* big_int);
// what would be the length of a string if this BigInt were converted to a string
// (see BigInt_to_string() below)
unsigned int BigInt_strlen(const BigInt* big_int);
// write BigInt to a string buffer, returns non-zero on success
// returns zero if BigInt doesn't fit into buf.
// buf_size *must* include the terminating zero byte
BOOL BigInt_to_string(const BigInt* big_int, char* buf, unsigned int buf_size);
// convert BigInt to a newly allocated string.
// returns NULL on failure.
char* BigInt_to_new_string(const BigInt* big_int);
//============================================================================
// Basic mathematical operations
//============================================================================
// Returns -1 if a < b, 0 if a == b, 1 if a > b
int BigInt_compare(const BigInt* a, const BigInt* b);
// Returns -1 if a < b, 0 if a == b, 1 if a > b
int BigInt_compare_int(const BigInt* a, int b);
// Adds the value in addend to big_int. Places the result in big_int.
// returns non-zero on success or 0 on failure
BOOL BigInt_add(BigInt* big_int, const BigInt* addend);
BOOL BigInt_add_int(BigInt* big_int, const int addend);
// Subtracts the value of to_subtract from big_int.
// Places the result in big_int.
// returns non-zero on success or 0 on failure
BOOL BigInt_subtract(BigInt* big_int, const BigInt* to_subtract);
BOOL BigInt_subtract_int(BigInt* big_int, const int to_subtract);
// Multiplies the value in big_int by multiplier. Places the
// result in big_int.
// returns non-zero on success or 0 on failure
BOOL BigInt_multiply(BigInt* big_int, const BigInt* multiplier);
BOOL BigInt_multiply_int(BigInt* big_int, const int multiplier);
// Divides dividend by divisor.
// If only quotient is desired, remainder can be NULL
// If only remainder is desired, quotient can be NULL
// if both quotient and remainder are NULL, this is just a fancy way of burning cpu
// returns non-zero on success or 0 on failure
BOOL BigInt_divide(
BigInt* dividend, BigInt* divisor,
BigInt* quotient, BigInt* remainder
);
// Sets result to the value of big_int as an integer if the
// value of big_int fits within the size of result's type on the target
// environment. returns non-zero on success or 0 on failure.
// result is undefined on failure.
BOOL BigInt_to_int(const BigInt* big_int, int* result);
//============================================================================
// Internal helpers
//============================================================================
// Ensure that big_int has space allocated for at least digits_needed digits.
// returns non-zero on success or 0 on failure
BOOL BigInt_ensure_digits(BigInt* big_int, unsigned int digits_needed);
// Performs an unsigned comparison of the two BigInt parameters; that is, the
// comparison is of their absolute values. Returns 1 if |a| > |b|, 0 if |a| == |b|,
// and -1 if |a| < |b|.
int BigInt_compare_digits(const BigInt* a, const BigInt* b);
// Performs an unsigned addition of to_add to big_int; adds the digits without regard
// for the sign of either parameter.
// returns non-zero on success or 0 on failure
BOOL BigInt_add_digits(BigInt* big_int, const BigInt* to_add);
// Performs an unsigned subtraction of to_subtract from big_int; subtracts the digits
// without regard for the sign of either parameter.
// returns non-zero on success or 0 on failure
BOOL BigInt_subtract_digits(BigInt* big_int, const BigInt* to_subtract);
#endif // BIG_INT_H
#ifndef C_SAFE_MATH_IMPL
#define C_SAFE_MATH_IMPL
#if defined _MSC_VER
// static inline expansion warnings
#pragma warning(disable:4710 4711)
#endif
#ifdef __cplusplus
extern "C"
{
#endif
// It is a bit tricky to sort out what compiler we are actually using,
// do this once here, and avoid cluttering the code
#define VISUAL_STUDIO_COMPILER 0
#define CLANG_COMPILER 1
#define GCC_COMPILER 2
#define UNKNOWN_COMPILER -1
// Clang will sometimes pretend to be Visual Studio
// and does pretend to be gcc. Check it first, as nothing else pretends to be clang
#if defined __clang__
#define SAFEINT_COMPILER CLANG_COMPILER
#elif defined __GNUC__
#define SAFEINT_COMPILER GCC_COMPILER
#elif defined _MSC_VER
#define SAFEINT_COMPILER VISUAL_STUDIO_COMPILER
#else
#define SAFEINT_COMPILER UNKNOWN_COMPILER
#endif
// Various defines to help make working with multiple compilers easier - from SafeInt.hpp
#if SAFEINT_COMPILER == GCC_COMPILER || SAFEINT_COMPILER == CLANG_COMPILER
#define SAFEINT_NORETURN __attribute__((noreturn))
#define SAFEINT_STDCALL
#define SAFEINT_VISIBLE __attribute__ ((__visibility__("default")))
#define SAFEINT_WEAK __attribute__ ((weak))
#else
#define SAFEINT_NORETURN __declspec(noreturn)
#define SAFEINT_STDCALL __stdcall
#define SAFEINT_VISIBLE
#define SAFEINT_WEAK
#endif
#if SAFEINT_COMPILER == VISUAL_STUDIO_COMPILER
// limits.h checks __STDC_WANT_SECURE_LIB__, but doesn't include what sets it
#if !defined __STDC_WANT_SECURE_LIB__
#define __STDC_WANT_SECURE_LIB__ 0
#endif
#endif
#include <stdint.h>
#include <stdbool.h>
#include <limits.h>
// Figure out if we should use intrinsics
// If the user has already decided, let that override
#define SAFEINT_MULTIPLY_MATH 0 // no intrinsics, no built in, no 128-bit
#define SAFEINT_MULTIPLY_INTRINSICS 1 // 64-bit Visual Studio
#define SAFEINT_MULTIPLY_BUILTIN 2 // gcc, clang
#define SAFEINT_MULTIPLY_INT128 3 // Best case
// We might have 128-bit int support, check for that, as it should work best
#if !defined SAFEINT_HAS_INT128
#if defined __SIZEOF_INT128__ && __SIZEOF_INT128__ == 16
#define SAFEINT_HAS_INT128 1
#else
#define SAFEINT_HAS_INT128 0
#endif
#endif
#if SAFEINT_HAS_INT128
#define SAFEINT_MULTIPLY_METHOD SAFEINT_MULTIPLY_INT128
#else
#if !defined SAFEINT_USE_INTRINSICS
// If it is the Visual Studio compiler, then it has to be 64-bit, and not ARM64EC
#if SAFEINT_COMPILER == VISUAL_STUDIO_COMPILER
#if defined _M_AMD64 && !defined _M_ARM64EC
#include <intrin.h>
#define SAFEINT_MULTIPLY_METHOD SAFEINT_MULTIPLY_INTRINSICS
#else
#define SAFEINT_MULTIPLY_METHOD SAFEINT_MULTIPLY_MATH
#endif
#else // Not VISUAL_STUDIO_COMPILER
// Else for gcc and clang, we can use builtin functions
#if SAFEINT_COMPILER == CLANG_COMPILER || SAFEINT_COMPILER == GCC_COMPILER
#define SAFEINT_MULTIPLY_METHOD SAFEINT_MULTIPLY_BUILTIN
#else
#define SAFEINT_MULTIPLY_METHOD SAFEINT_MULTIPLY_MATH
#endif
#endif
#endif // SAFEINT_USE_INTRINSICS
#endif // SAFEINT_HAS_INT128
/*
To replace safe_math_fail, wrap this header,
implement safe_math_fail how you prefer,
and set SAFE_MATH_FAIL_DEFINED
*/
#if !defined SAFE_MATH_FAIL_DEFINED
#define SAFE_MATH_FAIL_DEFINED
#include <stdlib.h>
SAFEINT_NORETURN
static inline void safe_math_fail(const char* msg)
{
(void)msg;
abort();
}
#endif
#if !defined UINT64_MAX
#define INT8_MIN (-127i8 - 1)
#define INT16_MIN (-32767i16 - 1)
#define INT32_MIN (-2147483647i32 - 1)
#define INT64_MIN (-9223372036854775807i64 - 1)
#define INT8_MAX 127i8
#define INT16_MAX 32767i16
#define INT32_MAX 2147483647i32
#define INT64_MAX 9223372036854775807i64
#define UINT8_MAX 0xffui8
#define UINT16_MAX 0xffffui16
#define UINT32_MAX 0xffffffffui32
#define UINT64_MAX 0xffffffffffffffffui64
#endif
// Utility functions
// Purpose of this is to negate an int in a way
// where the compiler won't remove it if the input is a
// compile time constant MIN_INT
static inline int32_t negate32(int32_t in) { return (int32_t)(~(uint32_t)in + 1); }
static inline int64_t negate64(int64_t in) { return (int64_t)(~(uint64_t)in + 1); }
static inline uint32_t safe_abs32(int32_t in)
{
if (in < 0)
return ~(uint32_t)in + 1;
return (uint32_t)in;
}
static inline uint64_t safe_abs64(int64_t in)
{
if (in < 0)
return ~(uint64_t)in + 1;
return (uint64_t)in;
}
// Checked casting functions
// 0 if the cast is safe, non-zero if unsafe
static inline int check_cast_int8_int32(int32_t in) { return (in < INT8_MIN || in > INT8_MAX); }
static inline int check_cast_int8_uint32(uint32_t in) { return in > INT8_MAX; }
static inline int check_cast_int8_int64(int64_t in) { return in < INT8_MIN || in > INT8_MAX; }
static inline int check_cast_int8_uint64(uint64_t in) { return (in > INT8_MAX); }
static inline int check_cast_int16_int32(int32_t in) { return in < INT16_MIN || in > INT16_MAX; }
static inline int check_cast_int16_uint32(uint32_t in) { return (in > INT16_MAX); }
static inline int check_cast_int16_int64(int64_t in) { return (in < INT16_MIN || in > INT16_MAX); }
static inline int check_cast_int16_uint64(uint64_t in) { return (in > INT16_MAX); }
static inline int check_cast_int32_uint32(uint32_t in) { return (in > INT32_MAX); }
static inline int check_cast_int32_int64(int64_t in) { return (in < INT32_MIN || in > INT32_MAX); }
static inline int check_cast_int32_uint64(uint64_t in) { return (in > INT32_MAX); }
static inline int check_cast_int64_uint64(uint64_t in) { return (in > INT64_MAX); }
static inline int check_cast_uint8_int32(int32_t in) { return (in < 0 || in > UINT8_MAX); }
static inline int check_cast_uint8_uint32(uint32_t in) { return (in > UINT8_MAX); }
static inline int check_cast_uint8_int64(int64_t in) { return (in < 0 || in > UINT8_MAX); }
static inline int check_cast_uint8_uint64(uint64_t in) { return (in > UINT8_MAX); }
static inline int check_cast_uint16_int32(int32_t in) { return (in < 0 || in > UINT16_MAX); }
static inline int check_cast_uint16_uint32(uint32_t in) { return (in > UINT16_MAX); }
static inline int check_cast_uint16_int64(int64_t in) { return (in < 0 || in > UINT16_MAX); }
static inline int check_cast_uint16_uint64(uint64_t in) { return (in > UINT16_MAX); }
static inline int check_cast_uint32_int32(int32_t in) { return (in < 0); }
static inline int check_cast_uint32_int64(int64_t in) { return (in < 0 || in > UINT32_MAX); }
static inline int check_cast_uint32_uint64(uint64_t in) { return (in > UINT32_MAX); }
static inline int check_cast_uint64_int64(int64_t in) { return (in < 0); }
static inline int8_t safe_cast_int8_int32(int32_t in)
{
if (!check_cast_int8_int32(in))
safe_math_fail("safe_math_fail safe_cast_int8_int32");
return (int8_t)in;
}
static inline int8_t safe_cast_int8_uint32(uint32_t in)
{
if (check_cast_int8_uint32(in))
safe_math_fail("safe_math_fail safe_cast_int8_uint32");
return (int8_t)in;
}
static inline int8_t safe_cast_int8_int64(int64_t in)
{
if (check_cast_int8_int64(in))
safe_math_fail("safe_math_fail safe_cast_int8_int64");
return (int8_t)in;
}
static inline int8_t safe_cast_int8_uint64(uint64_t in)
{
if (check_cast_int8_uint64(in))
safe_math_fail("safe_math_fail safe_cast_int8_uint64");
return (int8_t)in;
}
static inline int16_t safe_cast_int16_int32(int32_t in)
{
if (check_cast_int16_int32(in))
safe_math_fail("safe_math_fail safe_cast_int16_int32");
return (int16_t)in;
}
static inline int16_t safe_cast_int16_uint32(uint32_t in)
{
if (check_cast_int16_uint32(in))
safe_math_fail("safe_math_fail safe_cast_int16_uint32");
return (int16_t)in;
}
static inline int16_t safe_cast_int16_int64(int64_t in)
{
if (check_cast_int16_int64(in))
safe_math_fail("safe_math_fail safe_cast_int16_int64");
return (int16_t)in;
}
static inline int16_t safe_cast_int16_uint64(uint64_t in)
{
if (in > INT16_MAX)
safe_math_fail("safe_math_fail safe_cast_int16_uint64");
return (int16_t)in;
}
static inline int32_t safe_cast_int32_uint32(uint32_t in)
{
if (check_cast_int32_uint32(in))
safe_math_fail("safe_math_fail safe_cast_int32_uint32");
return (int32_t)in;
}
static inline int32_t safe_cast_int32_int64(int64_t in)
{
if (check_cast_int32_int64(in))
safe_math_fail("safe_math_fail safe_cast_int32_int64");
return (int32_t)in;
}
static inline int32_t safe_cast_int32_uint64(uint64_t in)
{
if (check_cast_int32_uint64(in))
safe_math_fail("safe_math_fail safe_cast_int32_uint64");
return (int32_t)in;
}
static inline int64_t safe_cast_int64_uint64(uint64_t in)
{
if (check_cast_int64_uint64(in))
safe_math_fail("safe_math_fail safe_cast_int64_uint64");
return (int64_t)in;
}
static inline uint8_t safe_cast_uint8_int32(int32_t in)
{
if (check_cast_uint8_int32(in))
safe_math_fail("safe_math_fail safe_cast_uint8_int32");
return (uint8_t)in;
}
static inline uint8_t safe_cast_uint8_uint32(uint32_t in)
{
if (check_cast_uint8_uint32(in))
safe_math_fail("safe_math_fail safe_cast_uint8_uint32");
return (uint8_t)in;
}
static inline uint8_t safe_cast_uint8_int64(int64_t in)
{
if (check_cast_uint8_int64(in))
safe_math_fail("safe_math_fail safe_cast_uint8_int64");
return (uint8_t)in;
}
static inline uint8_t safe_cast_uint8_uint64(uint64_t in)
{
if (check_cast_uint8_uint64(in))
safe_math_fail("safe_math_fail safe_cast_uint8_uint64");
return (uint8_t)in;
}
static inline uint16_t safe_cast_uint16_int32(int32_t in)
{
if (check_cast_uint16_int32(in))
safe_math_fail("safe_math_fail safe_cast_uint16_int32");
return (uint16_t)in;
}
static inline uint16_t safe_cast_uint16_uint32(uint32_t in)
{
if (check_cast_uint16_uint32(in))
safe_math_fail("safe_math_fail safe_cast_uint16_uint32");
return (uint16_t)in;
}
static inline uint16_t safe_cast_uint16_int64(int64_t in)
{
if (check_cast_uint16_int64(in))
safe_math_fail("safe_math_fail safe_cast_uint16_int64");
return (uint16_t)in;
}
static inline uint16_t safe_cast_uint16_uint64(uint64_t in)
{
if (check_cast_uint16_uint64(in))
safe_math_fail("safe_math_fail safe_cast_int16_uint64");
return (uint16_t)in;
}
static inline uint32_t safe_cast_uint32_int32(int32_t in)
{
if (check_cast_uint32_int32(in))
safe_math_fail("safe_math_fail safe_cast_uint32_int32");
return (uint32_t)in;
}
static inline uint32_t safe_cast_uint32_int64(int64_t in)
{
if (check_cast_uint32_int64(in))
safe_math_fail("safe_math_fail safe_cast_int32_int64");
return (uint32_t)in;
}
static inline uint32_t safe_cast_uint32_uint64(uint64_t in)
{
if (check_cast_uint32_uint64(in))
safe_math_fail("safe_math_fail safe_cast_uint32_uint64");
return (uint32_t)in;
}
static inline uint64_t safe_cast_uint64_int64(int64_t in)
{
if (check_cast_uint64_int64(in))
safe_math_fail("safe_math_fail safe_cast_int64_uint64");
return (uint64_t)in;
}
// Addition
/*
For addition and multiplication, there will be checks for the following matrix:
- int32
- uint32
- int64
- uint64
If you want to add smaller types, then do it inside the appropriate safe_cast function,
or if adding one of the above and a smaller type, pass it into one that takes a larger
size of the same type, for example, uint16 -> uint32.
*/
static inline int32_t safe_add_int32_int32(int32_t a, int32_t b)
{
return safe_cast_int32_int64((int64_t)a + b);
}
static inline bool check_add_int32_int32(int32_t a, int32_t b, int32_t* ret)
{
int64_t tmp = (int64_t)a + b;
*ret = (int32_t)tmp;
return check_cast_int32_int64(tmp) == 0;
}
static inline int32_t safe_add_int32_uint32(int32_t a, uint32_t b)
{
return safe_cast_int32_int64((int64_t)a + b);
}
static inline bool check_add_int32_uint32(int32_t a, uint32_t b, int32_t* ret)
{
int64_t tmp = (int64_t)a + b;
*ret = (int32_t)tmp;
return check_cast_int32_int64(tmp) == 0;
}
static inline int32_t safe_add_int32_int64(int32_t a, int64_t b)
{
int64_t tmp = (int64_t)((uint64_t)a + (uint64_t)b);
if (a >= 0)
{
// mixed sign cannot overflow
if (b >= 0 && tmp < a)
safe_math_fail("safe_math_fail safe_add_int32_int64");
}
else
{
// lhs negative
if (b < 0 && tmp > a)
safe_math_fail("safe_math_fail safe_add_int32_int64");
}
return safe_cast_int32_int64(tmp);
}
static inline bool check_add_int32_int64(int32_t a, int64_t b, int32_t* ret)
{
int64_t tmp = (int64_t)((uint64_t)a + (uint64_t)b);
*ret = (int32_t)tmp;
if (a >= 0)
{
// mixed sign cannot overflow
if (b >= 0 && tmp < a)
return false;
}
else
{
// lhs negative
if (b < 0 && tmp > a)
return false;
}
return check_cast_int32_int64(tmp) == 0;
}
static inline int32_t safe_add_int32_uint64(int32_t a, uint64_t b)
{
if ((uint32_t)(b >> 32) == 0)
{
// Now it just happens to work out that the standard behavior does what we want
// Adding explicit casts to show exactly what's happening here
uint32_t tmp = (uint32_t)a + (uint32_t)b;
if ((int32_t)tmp >= a)
{
return (int32_t)tmp;
}
}
safe_math_fail("safe_math_fail safe_add_int32_uint64");
}
static inline bool check_add_int32_uint64(int32_t a, uint64_t b, int32_t* ret)
{
if ((uint32_t)(b >> 32) == 0)
{
// Now it just happens to work out that the standard behavior does what we want
// Adding explicit casts to show exactly what's happening here
uint32_t tmp = (uint32_t)a + (uint32_t)b;
*ret = (int32_t)tmp;
if ((int32_t)tmp >= a)
{
return true;
}
}
return false;
}
static inline uint32_t safe_add_uint32_int32(uint32_t a, int32_t b)
{
return safe_cast_uint32_int64((int64_t)a + b);
}
static inline bool check_add_uint32_int32(uint32_t a, int32_t b, uint32_t* ret)
{
int64_t tmp = (int64_t)a + b;
*ret = (uint32_t)tmp;
return check_cast_uint32_int64(tmp) == 0;
}
static inline uint32_t safe_add_uint32_uint32(uint32_t a, uint32_t b)
{
uint32_t tmp = a + b;
if (tmp < a)
{
safe_math_fail("safe_math_fail safe_add_uint32_uint32");
}
return tmp;
}
static inline bool check_add_uint32_uint32(uint32_t a, uint32_t b, uint32_t* ret)
{
uint32_t tmp = a + b;
*ret = tmp;
return tmp >= a;
}
static inline uint32_t safe_add_uint32_int64(uint32_t a, int64_t b)
{
if (b < 0)
{
if (a >= safe_abs64(b)) //negation is safe, since rhs is 64-bit
{
return (uint32_t)(a + b);
}
}
else
{
// now we know that rhs can be safely cast into an std::uint64_t
uint64_t tmp = (uint64_t)a + (uint64_t)b;
// special case - rhs cannot be larger than 0x7fffffffffffffff, lhs cannot be larger than 0xffffffff
// it is not possible for the operation above to overflow, so just check max
return safe_cast_uint32_uint64(tmp);
}
safe_math_fail("safe_math_fail safe_add_uint32_int64");
}
static inline bool check_add_uint32_int64(uint32_t a, int64_t b, uint32_t* ret)
{
if (b < 0)
{
if (a >= safe_abs64(b)) //negation is safe, since rhs is 64-bit
{
*ret = (uint32_t)(a + b);
return true;
}
}
else
{
// now we know that rhs can be safely cast into an std::uint64_t
uint64_t tmp = (uint64_t)a + (uint64_t)b;
// special case - rhs cannot be larger than 0x7fffffffffffffff, lhs cannot be larger than 0xffffffff
// it is not possible for the operation above to overflow, so just check max
*ret = (uint32_t)tmp;
return check_cast_uint32_uint64(tmp) == 0;
}
return false;
}
static inline uint32_t safe_add_uint32_uint64(uint32_t a, uint64_t b)
{
uint64_t tmp = (uint64_t)a + b;
if (tmp >= a && tmp <= UINT32_MAX)
{
return (uint32_t)tmp;
}
safe_math_fail("safe_math_fail safe_add_uint32_uint64");
}
static inline bool check_add_uint32_uint64(uint32_t a, uint64_t b, uint32_t* ret)
{
uint64_t tmp = (uint64_t)a + b;
*ret = (uint32_t)tmp;
return (tmp >= a && tmp <= UINT32_MAX);
}
static inline int64_t safe_add_int64_int32(int64_t a, int32_t b)
{
int64_t tmp = (int64_t)((uint64_t)a + (uint64_t)b);
if (a >= 0)
{
// mixed sign cannot overflow
if (b >= 0 && tmp < a)
safe_math_fail("safe_math_fail safe_add_int64_int32");
}
else
{
// lhs negative
if (b < 0 && tmp > a)
safe_math_fail("safe_math_fail safe_add_int64_int32");
}
return tmp;
}
static inline bool check_add_int64_int32(int64_t a, int32_t b, int64_t* ret)
{
int64_t tmp = (int64_t)((uint64_t)a + (uint64_t)b);
*ret = tmp;
if (a >= 0)
{
// mixed sign cannot overflow
if (b >= 0 && tmp < a)
return false;
}
else
{
// lhs negative
if (b < 0 && tmp > a)
return false;
}
return true;
}
static inline int64_t safe_add_int64_uint32(int64_t a, uint32_t b)
{
uint64_t tmp = (uint64_t)a + (uint64_t)b;
if ((int64_t)tmp >= a)
{
return (int64_t)tmp;
}
safe_math_fail("safe_math_fail safe_add_int64_uint32");
}
static inline bool check_add_int64_uint32(int64_t a, uint32_t b, int64_t* ret)
{
uint64_t tmp = (uint64_t)a + (uint64_t)b;
*ret = (int64_t)tmp;
return ((int64_t)tmp >= a);
}
static inline int64_t safe_add_int64_int64(int64_t a, int64_t b)
{
int64_t tmp = (int64_t)((uint64_t)a + (uint64_t)b);
if (a >= 0)
{
// mixed sign cannot overflow
if (b >= 0 && tmp < a)
safe_math_fail("safe_math_fail safe_add_int64_int64");
}
else
{
// lhs negative
if (b < 0 && tmp > a)
safe_math_fail("safe_math_fail safe_add_int64_int64");
}
return tmp;
}
static inline bool check_add_int64_int64(int64_t a, int64_t b, int64_t* ret)
{
int64_t tmp = (int64_t)((uint64_t)a + (uint64_t)b);
*ret = tmp;
if (a >= 0)
{
// mixed sign cannot overflow
if (b >= 0 && tmp < a)
return false;
}
else
{
// lhs negative
if (b < 0 && tmp > a)
return false;
}
return true;
}
static inline int64_t safe_add_int64_uint64(int64_t a, uint64_t b)
{
uint64_t tmp = (uint64_t)a + b;
if ((int64_t)tmp >= a)
{
return (int64_t)tmp;
}
safe_math_fail("safe_math_fail safe_add_int64_uint64");
}
static inline bool check_add_int64_uint64(int64_t a, uint64_t b, int64_t* ret)
{
uint64_t tmp = (uint64_t)a + b;
*ret = (int64_t)tmp;