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Diffstat (limited to 'src/include/utils/float.h')
-rw-r--r-- | src/include/utils/float.h | 356 |
1 files changed, 356 insertions, 0 deletions
diff --git a/src/include/utils/float.h b/src/include/utils/float.h new file mode 100644 index 0000000..8d4bbc5 --- /dev/null +++ b/src/include/utils/float.h @@ -0,0 +1,356 @@ +/*------------------------------------------------------------------------- + * + * float.h + * Definitions for the built-in floating-point types + * + * Portions Copyright (c) 1996-2020, PostgreSQL Global Development Group + * Portions Copyright (c) 1994, Regents of the University of California + * + * + * IDENTIFICATION + * src/include/utils/float.h + * + *------------------------------------------------------------------------- + */ +#ifndef FLOAT_H +#define FLOAT_H + +#include <math.h> + +#ifndef M_PI +/* From my RH5.2 gcc math.h file - thomas 2000-04-03 */ +#define M_PI 3.14159265358979323846 +#endif + +/* Radians per degree, a.k.a. PI / 180 */ +#define RADIANS_PER_DEGREE 0.0174532925199432957692 + +/* Visual C++ etc lacks NAN, and won't accept 0.0/0.0. */ +#if defined(WIN32) && !defined(NAN) +static const uint32 nan[2] = {0xffffffff, 0x7fffffff}; + +#define NAN (*(const float8 *) nan) +#endif + +extern PGDLLIMPORT int extra_float_digits; + +/* + * Utility functions in float.c + */ +extern void float_overflow_error(void) pg_attribute_noreturn(); +extern void float_underflow_error(void) pg_attribute_noreturn(); +extern void float_zero_divide_error(void) pg_attribute_noreturn(); +extern int is_infinite(float8 val); +extern float8 float8in_internal(char *num, char **endptr_p, + const char *type_name, const char *orig_string); +extern float8 float8in_internal_opt_error(char *num, char **endptr_p, + const char *type_name, const char *orig_string, + bool *have_error); +extern char *float8out_internal(float8 num); +extern int float4_cmp_internal(float4 a, float4 b); +extern int float8_cmp_internal(float8 a, float8 b); + +/* + * Routines to provide reasonably platform-independent handling of + * infinity and NaN + * + * We assume that isinf() and isnan() are available and work per spec. + * (On some platforms, we have to supply our own; see src/port.) However, + * generating an Infinity or NaN in the first place is less well standardized; + * pre-C99 systems tend not to have C99's INFINITY and NaN macros. We + * centralize our workarounds for this here. + */ + +/* + * The funny placements of the two #pragmas is necessary because of a + * long lived bug in the Microsoft compilers. + * See http://support.microsoft.com/kb/120968/en-us for details + */ +#ifdef _MSC_VER +#pragma warning(disable:4756) +#endif +static inline float4 +get_float4_infinity(void) +{ +#ifdef INFINITY + /* C99 standard way */ + return (float4) INFINITY; +#else +#ifdef _MSC_VER +#pragma warning(default:4756) +#endif + + /* + * On some platforms, HUGE_VAL is an infinity, elsewhere it's just the + * largest normal float8. We assume forcing an overflow will get us a + * true infinity. + */ + return (float4) (HUGE_VAL * HUGE_VAL); +#endif +} + +static inline float8 +get_float8_infinity(void) +{ +#ifdef INFINITY + /* C99 standard way */ + return (float8) INFINITY; +#else + + /* + * On some platforms, HUGE_VAL is an infinity, elsewhere it's just the + * largest normal float8. We assume forcing an overflow will get us a + * true infinity. + */ + return (float8) (HUGE_VAL * HUGE_VAL); +#endif +} + +static inline float4 +get_float4_nan(void) +{ +#ifdef NAN + /* C99 standard way */ + return (float4) NAN; +#else + /* Assume we can get a NAN via zero divide */ + return (float4) (0.0 / 0.0); +#endif +} + +static inline float8 +get_float8_nan(void) +{ + /* (float8) NAN doesn't work on some NetBSD/MIPS releases */ +#if defined(NAN) && !(defined(__NetBSD__) && defined(__mips__)) + /* C99 standard way */ + return (float8) NAN; +#else + /* Assume we can get a NaN via zero divide */ + return (float8) (0.0 / 0.0); +#endif +} + +/* + * Floating-point arithmetic with overflow/underflow reported as errors + * + * There isn't any way to check for underflow of addition/subtraction + * because numbers near the underflow value have already been rounded to + * the point where we can't detect that the two values were originally + * different, e.g. on x86, '1e-45'::float4 == '2e-45'::float4 == + * 1.4013e-45. + */ + +static inline float4 +float4_pl(const float4 val1, const float4 val2) +{ + float4 result; + + result = val1 + val2; + if (unlikely(isinf(result)) && !isinf(val1) && !isinf(val2)) + float_overflow_error(); + + return result; +} + +static inline float8 +float8_pl(const float8 val1, const float8 val2) +{ + float8 result; + + result = val1 + val2; + if (unlikely(isinf(result)) && !isinf(val1) && !isinf(val2)) + float_overflow_error(); + + return result; +} + +static inline float4 +float4_mi(const float4 val1, const float4 val2) +{ + float4 result; + + result = val1 - val2; + if (unlikely(isinf(result)) && !isinf(val1) && !isinf(val2)) + float_overflow_error(); + + return result; +} + +static inline float8 +float8_mi(const float8 val1, const float8 val2) +{ + float8 result; + + result = val1 - val2; + if (unlikely(isinf(result)) && !isinf(val1) && !isinf(val2)) + float_overflow_error(); + + return result; +} + +static inline float4 +float4_mul(const float4 val1, const float4 val2) +{ + float4 result; + + result = val1 * val2; + if (unlikely(isinf(result)) && !isinf(val1) && !isinf(val2)) + float_overflow_error(); + if (unlikely(result == 0.0f) && val1 != 0.0f && val2 != 0.0f) + float_underflow_error(); + + return result; +} + +static inline float8 +float8_mul(const float8 val1, const float8 val2) +{ + float8 result; + + result = val1 * val2; + if (unlikely(isinf(result)) && !isinf(val1) && !isinf(val2)) + float_overflow_error(); + if (unlikely(result == 0.0) && val1 != 0.0 && val2 != 0.0) + float_underflow_error(); + + return result; +} + +static inline float4 +float4_div(const float4 val1, const float4 val2) +{ + float4 result; + + if (unlikely(val2 == 0.0f)) + float_zero_divide_error(); + result = val1 / val2; + if (unlikely(isinf(result)) && !isinf(val1) && !isinf(val2)) + float_overflow_error(); + if (unlikely(result == 0.0f) && val1 != 0.0f) + float_underflow_error(); + + return result; +} + +static inline float8 +float8_div(const float8 val1, const float8 val2) +{ + float8 result; + + if (unlikely(val2 == 0.0)) + float_zero_divide_error(); + result = val1 / val2; + if (unlikely(isinf(result)) && !isinf(val1) && !isinf(val2)) + float_overflow_error(); + if (unlikely(result == 0.0) && val1 != 0.0) + float_underflow_error(); + + return result; +} + +/* + * Routines for NaN-aware comparisons + * + * We consider all NaNs to be equal and larger than any non-NaN. This is + * somewhat arbitrary; the important thing is to have a consistent sort + * order. + */ + +static inline bool +float4_eq(const float4 val1, const float4 val2) +{ + return isnan(val1) ? isnan(val2) : !isnan(val2) && val1 == val2; +} + +static inline bool +float8_eq(const float8 val1, const float8 val2) +{ + return isnan(val1) ? isnan(val2) : !isnan(val2) && val1 == val2; +} + +static inline bool +float4_ne(const float4 val1, const float4 val2) +{ + return isnan(val1) ? !isnan(val2) : isnan(val2) || val1 != val2; +} + +static inline bool +float8_ne(const float8 val1, const float8 val2) +{ + return isnan(val1) ? !isnan(val2) : isnan(val2) || val1 != val2; +} + +static inline bool +float4_lt(const float4 val1, const float4 val2) +{ + return !isnan(val1) && (isnan(val2) || val1 < val2); +} + +static inline bool +float8_lt(const float8 val1, const float8 val2) +{ + return !isnan(val1) && (isnan(val2) || val1 < val2); +} + +static inline bool +float4_le(const float4 val1, const float4 val2) +{ + return isnan(val2) || (!isnan(val1) && val1 <= val2); +} + +static inline bool +float8_le(const float8 val1, const float8 val2) +{ + return isnan(val2) || (!isnan(val1) && val1 <= val2); +} + +static inline bool +float4_gt(const float4 val1, const float4 val2) +{ + return !isnan(val2) && (isnan(val1) || val1 > val2); +} + +static inline bool +float8_gt(const float8 val1, const float8 val2) +{ + return !isnan(val2) && (isnan(val1) || val1 > val2); +} + +static inline bool +float4_ge(const float4 val1, const float4 val2) +{ + return isnan(val1) || (!isnan(val2) && val1 >= val2); +} + +static inline bool +float8_ge(const float8 val1, const float8 val2) +{ + return isnan(val1) || (!isnan(val2) && val1 >= val2); +} + +static inline float4 +float4_min(const float4 val1, const float4 val2) +{ + return float4_lt(val1, val2) ? val1 : val2; +} + +static inline float8 +float8_min(const float8 val1, const float8 val2) +{ + return float8_lt(val1, val2) ? val1 : val2; +} + +static inline float4 +float4_max(const float4 val1, const float4 val2) +{ + return float4_gt(val1, val2) ? val1 : val2; +} + +static inline float8 +float8_max(const float8 val1, const float8 val2) +{ + return float8_gt(val1, val2) ? val1 : val2; +} + +#endif /* FLOAT_H */ |