📄 jas_fix.h
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#define JAS_FIX_MUL JAS_FIX_MUL_OFLOW#endif/* Calculate the product of two fixed-point numbers without overflow checking. */#define JAS_FIX_MUL_FAST(fix_t, fracbits, bigfix_t, x, y) \ JAS_CAST(fix_t, (JAS_CAST(bigfix_t, x) * JAS_CAST(bigfix_t, y)) >> \ (fracbits))/* Calculate the product of two fixed-point numbers with overflow checking. */#define JAS_FIX_MUL_OFLOW(fix_t, fracbits, bigfix_t, x, y) \ ((JAS_CAST(bigfix_t, x) * JAS_CAST(bigfix_t, y) >> (fracbits)) == \ JAS_CAST(fix_t, (JAS_CAST(bigfix_t, x) * JAS_CAST(bigfix_t, y) >> \ (fracbits))) ? \ JAS_CAST(fix_t, (JAS_CAST(bigfix_t, x) * JAS_CAST(bigfix_t, y) >> \ (fracbits))) : JAS_FIX_OFLOW())/* Calculate the product of a fixed-point number and an int. */#if !defined(DEBUG_OVERFLOW)#define JAS_FIX_MULBYINT JAS_FIX_MULBYINT_FAST#else#define JAS_FIX_MULBYINT JAS_FIX_MULBYINT_OFLOW#endif/* Calculate the product of a fixed-point number and an int without overflow checking. */#define JAS_FIX_MULBYINT_FAST(fix_t, fracbits, x, y) \ JAS_CAST(fix_t, ((x) * (y)))/* Calculate the product of a fixed-point number and an int with overflow checking. */#define JAS_FIX_MULBYINT_OFLOW(fix_t, fracbits, x, y) \ JAS_FIX_MULBYINT_FAST(fix_t, fracbits, x, y)/* Calculate the quotient of two fixed-point numbers. */#if !defined(DEBUG_OVERFLOW)#define JAS_FIX_DIV JAS_FIX_DIV_FAST#else#define JAS_FIX_DIV JAS_FIX_DIV_UFLOW#endif/* Calculate the quotient of two fixed-point numbers without underflow checking. */#define JAS_FIX_DIV_FAST(fix_t, fracbits, bigfix_t, x, y) \ JAS_CAST(fix_t, (JAS_CAST(bigfix_t, x) << (fracbits)) / (y))/* Calculate the quotient of two fixed-point numbers with underflow checking. */#define JAS_FIX_DIV_UFLOW(fix_t, fracbits, bigfix_t, x, y) \ JAS_FIX_DIV_FAST(fix_t, fracbits, bigfix_t, x, y)/* Negate a fixed-point number. */#if !defined(DEBUG_OVERFLOW)#define JAS_FIX_NEG JAS_FIX_NEG_FAST#else#define JAS_FIX_NEG JAS_FIX_NEG_OFLOW#endif/* Negate a fixed-point number without overflow checking. */#define JAS_FIX_NEG_FAST(fix_t, fracbits, x) \ (-(x))/* Negate a fixed-point number with overflow checking. *//* Yes, overflow is actually possible for two's complement representations, although highly unlikely to occur. */#define JAS_FIX_NEG_OFLOW(fix_t, fracbits, x) \ (((x) < 0) ? (-(x) > 0 || JAS_FIX_OFLOW(), -(x)) : (-(x)))/* Perform an arithmetic shift left of a fixed-point number. */#if !defined(DEBUG_OVERFLOW)#define JAS_FIX_ASL JAS_FIX_ASL_FAST#else#define JAS_FIX_ASL JAS_FIX_ASL_OFLOW#endif/* Perform an arithmetic shift left of a fixed-point number without overflow checking. */#define JAS_FIX_ASL_FAST(fix_t, fracbits, x, n) \ ((x) << (n))/* Perform an arithmetic shift left of a fixed-point number with overflow checking. */#define JAS_FIX_ASL_OFLOW(fix_t, fracbits, x, n) \ ((((x) << (n)) >> (n)) == (x) || JAS_FIX_OFLOW(), (x) << (n))/* Perform an arithmetic shift right of a fixed-point number. */#if !defined(DEBUG_OVERFLOW)#define JAS_FIX_ASR JAS_FIX_ASR_FAST#else#define JAS_FIX_ASR JAS_FIX_ASR_UFLOW#endif/* Perform an arithmetic shift right of a fixed-point number without underflow checking. */#define JAS_FIX_ASR_FAST(fix_t, fracbits, x, n) \ ((x) >> (n))/* Perform an arithmetic shift right of a fixed-point number with underflow checking. */#define JAS_FIX_ASR_UFLOW(fix_t, fracbits, x, n) \ JAS_FIX_ASR_FAST(fix_t, fracbits, x, n)/******************************************************************************\* Other basic arithmetic operations.\******************************************************************************//* Calculate the difference between two fixed-point numbers. */#define JAS_FIX_SUB(fix_t, fracbits, x, y) \ JAS_FIX_ADD(fix_t, fracbits, x, JAS_FIX_NEG(fix_t, fracbits, y))/* Add one fixed-point number to another. */#define JAS_FIX_PLUSEQ(fix_t, fracbits, x, y) \ ((x) = JAS_FIX_ADD(fix_t, fracbits, x, y))/* Subtract one fixed-point number from another. */#define JAS_FIX_MINUSEQ(fix_t, fracbits, x, y) \ ((x) = JAS_FIX_SUB(fix_t, fracbits, x, y))/* Multiply one fixed-point number by another. */#define JAS_FIX_MULEQ(fix_t, fracbits, bigfix_t, x, y) \ ((x) = JAS_FIX_MUL(fix_t, fracbits, bigfix_t, x, y))/******************************************************************************\* Miscellaneous operations.\******************************************************************************//* Calculate the absolute value of a fixed-point number. */#define JAS_FIX_ABS(fix_t, fracbits, x) \ (((x) >= 0) ? (x) : (JAS_FIX_NEG(fix_t, fracbits, x)))/* Is a fixed-point number an integer? */#define JAS_FIX_ISINT(fix_t, fracbits, x) \ (JAS_FIX_FLOOR(fix_t, fracbits, x) == (x))/* Get the sign of a fixed-point number. */#define JAS_FIX_SGN(fix_t, fracbits, x) \ ((x) >= 0 ? 1 : (-1))/******************************************************************************\* Relational operations.\******************************************************************************//* Compare two fixed-point numbers. */#define JAS_FIX_CMP(fix_t, fracbits, x, y) \ ((x) > (y) ? 1 : (((x) == (y)) ? 0 : (-1)))/* Less than. */#define JAS_FIX_LT(fix_t, fracbits, x, y) \ ((x) < (y))/* Less than or equal. */#define JAS_FIX_LTE(fix_t, fracbits, x, y) \ ((x) <= (y))/* Greater than. */#define JAS_FIX_GT(fix_t, fracbits, x, y) \ ((x) > (y))/* Greater than or equal. */#define JAS_FIX_GTE(fix_t, fracbits, x, y) \ ((x) >= (y))/******************************************************************************\* Rounding functions.\******************************************************************************//* Round a fixed-point number to the nearest integer. */#define JAS_FIX_ROUND(fix_t, fracbits, x) \ (((x) < 0) ? JAS_FIX_FLOOR(fix_t, fracbits, JAS_FIX_ADD(fix_t, fracbits, \ (x), JAS_FIX_HALF(fix_t, fracbits))) : \ JAS_FIX_NEG(fix_t, fracbits, JAS_FIX_FLOOR(fix_t, fracbits, \ JAS_FIX_ADD(fix_t, fracbits, (-(x)), JAS_FIX_HALF(fix_t, fracbits)))))/* Round a fixed-point number to the nearest integer in the direction of negative infinity (i.e., the floor function). */#define JAS_FIX_FLOOR(fix_t, fracbits, x) \ ((x) & (~((JAS_CAST(fix_t, 1) << (fracbits)) - 1)))/* Round a fixed-point number to the nearest integer in the direction of zero. */#define JAS_FIX_TRUNC(fix_t, fracbits, x) \ (((x) >= 0) ? JAS_FIX_FLOOR(fix_t, fracbits, x) : \ JAS_FIX_CEIL(fix_t, fracbits, x))/******************************************************************************\* The below macros are for internal library use only. Do not invoke them* directly in application code.\******************************************************************************//* Handle overflow. */#define JAS_FIX_OFLOW() \ fprintf(stderr, "overflow error: file %s, line %d\n", __FILE__, __LINE__)/* Handle underflow. */#define JAS_FIX_UFLOW() \ fprintf(stderr, "underflow error: file %s, line %d\n", __FILE__, __LINE__)#ifdef __cplusplus}#endif#endif
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