mirror of
https://github.com/ClickHouse/ClickHouse.git
synced 2024-11-24 08:32:02 +00:00
250 lines
6.4 KiB
C++
250 lines
6.4 KiB
C++
#ifndef _LIBM_H
|
|
#define _LIBM_H
|
|
|
|
#include <stdint.h>
|
|
#include <float.h>
|
|
#include <math.h>
|
|
#include <endian.h>
|
|
#include "musl_features.h"
|
|
|
|
#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
|
|
#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
|
|
union ldshape {
|
|
long double f;
|
|
struct {
|
|
uint64_t m;
|
|
uint16_t se;
|
|
} i;
|
|
};
|
|
#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
|
|
/* This is the m68k variant of 80-bit long double, and this definition only works
|
|
* on archs where the alignment requirement of uint64_t is <= 4. */
|
|
union ldshape {
|
|
long double f;
|
|
struct {
|
|
uint16_t se;
|
|
uint16_t pad;
|
|
uint64_t m;
|
|
} i;
|
|
};
|
|
#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
|
|
union ldshape {
|
|
long double f;
|
|
struct {
|
|
uint64_t lo;
|
|
uint32_t mid;
|
|
uint16_t top;
|
|
uint16_t se;
|
|
} i;
|
|
struct {
|
|
uint64_t lo;
|
|
uint64_t hi;
|
|
} i2;
|
|
};
|
|
#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
|
|
union ldshape {
|
|
long double f;
|
|
struct {
|
|
uint16_t se;
|
|
uint16_t top;
|
|
uint32_t mid;
|
|
uint64_t lo;
|
|
} i;
|
|
struct {
|
|
uint64_t hi;
|
|
uint64_t lo;
|
|
} i2;
|
|
};
|
|
#else
|
|
#error Unsupported long double representation
|
|
#endif
|
|
|
|
/* Support non-nearest rounding mode. */
|
|
#define WANT_ROUNDING 1
|
|
/* Support signaling NaNs. */
|
|
#define WANT_SNAN 0
|
|
|
|
#if WANT_SNAN
|
|
#error SNaN is unsupported
|
|
#else
|
|
#define issignalingf_inline(x) 0
|
|
#define issignaling_inline(x) 0
|
|
#endif
|
|
|
|
#ifndef TOINT_INTRINSICS
|
|
#define TOINT_INTRINSICS 0
|
|
#endif
|
|
|
|
#if TOINT_INTRINSICS
|
|
/* Round x to nearest int in all rounding modes, ties have to be rounded
|
|
consistently with converttoint so the results match. If the result
|
|
would be outside of [-2^31, 2^31-1] then the semantics is unspecified. */
|
|
static double_t roundtoint(double_t);
|
|
|
|
/* Convert x to nearest int in all rounding modes, ties have to be rounded
|
|
consistently with roundtoint. If the result is not representible in an
|
|
int32_t then the semantics is unspecified. */
|
|
static int32_t converttoint(double_t);
|
|
#endif
|
|
|
|
/* Helps static branch prediction so hot path can be better optimized. */
|
|
#ifdef __GNUC__
|
|
#define predict_true(x) __builtin_expect(!!(x), 1)
|
|
#define predict_false(x) __builtin_expect(x, 0)
|
|
#else
|
|
#define predict_true(x) (x)
|
|
#define predict_false(x) (x)
|
|
#endif
|
|
|
|
/* Evaluate an expression as the specified type. With standard excess
|
|
precision handling a type cast or assignment is enough (with
|
|
-ffloat-store an assignment is required, in old compilers argument
|
|
passing and return statement may not drop excess precision). */
|
|
|
|
static inline float eval_as_float(float x)
|
|
{
|
|
float y = x;
|
|
return y;
|
|
}
|
|
|
|
static inline double eval_as_double(double x)
|
|
{
|
|
double y = x;
|
|
return y;
|
|
}
|
|
|
|
/* fp_barrier returns its input, but limits code transformations
|
|
as if it had a side-effect (e.g. observable io) and returned
|
|
an arbitrary value. */
|
|
|
|
#ifndef fp_barrierf
|
|
#define fp_barrierf fp_barrierf
|
|
static inline float fp_barrierf(float x)
|
|
{
|
|
volatile float y = x;
|
|
return y;
|
|
}
|
|
#endif
|
|
|
|
#ifndef fp_barrier
|
|
#define fp_barrier fp_barrier
|
|
static inline double fp_barrier(double x)
|
|
{
|
|
volatile double y = x;
|
|
return y;
|
|
}
|
|
#endif
|
|
|
|
#ifndef fp_barrierl
|
|
#define fp_barrierl fp_barrierl
|
|
static inline long double fp_barrierl(long double x)
|
|
{
|
|
volatile long double y = x;
|
|
return y;
|
|
}
|
|
#endif
|
|
|
|
/* fp_force_eval ensures that the input value is computed when that's
|
|
otherwise unused. To prevent the constant folding of the input
|
|
expression, an additional fp_barrier may be needed or a compilation
|
|
mode that does so (e.g. -frounding-math in gcc). Then it can be
|
|
used to evaluate an expression for its fenv side-effects only. */
|
|
|
|
#ifndef fp_force_evalf
|
|
#define fp_force_evalf fp_force_evalf
|
|
static inline void fp_force_evalf(float x)
|
|
{
|
|
volatile float y;
|
|
y = x;
|
|
}
|
|
#endif
|
|
|
|
#ifndef fp_force_eval
|
|
#define fp_force_eval fp_force_eval
|
|
static inline void fp_force_eval(double x)
|
|
{
|
|
volatile double y;
|
|
y = x;
|
|
}
|
|
#endif
|
|
|
|
#ifndef fp_force_evall
|
|
#define fp_force_evall fp_force_evall
|
|
static inline void fp_force_evall(long double x)
|
|
{
|
|
volatile long double y;
|
|
y = x;
|
|
}
|
|
#endif
|
|
|
|
#define FORCE_EVAL(x) do { \
|
|
if (sizeof(x) == sizeof(float)) { \
|
|
fp_force_evalf(x); \
|
|
} else if (sizeof(x) == sizeof(double)) { \
|
|
fp_force_eval(x); \
|
|
} else { \
|
|
fp_force_evall(x); \
|
|
} \
|
|
} while(0)
|
|
|
|
#define asuint(f) ((union{float _f; uint32_t _i;}){f})._i
|
|
#define asfloat(i) ((union{uint32_t _i; float _f;}){i})._f
|
|
#define asuint64(f) ((union{double _f; uint64_t _i;}){f})._i
|
|
#define asdouble(i) ((union{uint64_t _i; double _f;}){i})._f
|
|
|
|
#define EXTRACT_WORDS(hi,lo,d) \
|
|
do { \
|
|
uint64_t __u = asuint64(d); \
|
|
(hi) = __u >> 32; \
|
|
(lo) = (uint32_t)__u; \
|
|
} while (0)
|
|
|
|
#define GET_HIGH_WORD(hi,d) \
|
|
do { \
|
|
(hi) = asuint64(d) >> 32; \
|
|
} while (0)
|
|
|
|
#define GET_LOW_WORD(lo,d) \
|
|
do { \
|
|
(lo) = (uint32_t)asuint64(d); \
|
|
} while (0)
|
|
|
|
#define INSERT_WORDS(d,hi,lo) \
|
|
do { \
|
|
(d) = asdouble(((uint64_t)(hi)<<32) | (uint32_t)(lo)); \
|
|
} while (0)
|
|
|
|
#define SET_HIGH_WORD(d,hi) \
|
|
INSERT_WORDS(d, hi, (uint32_t)asuint64(d))
|
|
|
|
#define SET_LOW_WORD(d,lo) \
|
|
INSERT_WORDS(d, asuint64(d)>>32, lo)
|
|
|
|
#define GET_FLOAT_WORD(w,d) \
|
|
do { \
|
|
(w) = asuint(d); \
|
|
} while (0)
|
|
|
|
#define SET_FLOAT_WORD(d,w) \
|
|
do { \
|
|
(d) = asfloat(w); \
|
|
} while (0)
|
|
|
|
extern int __signgam;
|
|
hidden double __lgamma_r(double, int *);
|
|
hidden float __lgammaf_r(float, int *);
|
|
|
|
/* error handling functions */
|
|
hidden float __math_xflowf(uint32_t, float);
|
|
hidden float __math_uflowf(uint32_t);
|
|
hidden float __math_oflowf(uint32_t);
|
|
hidden float __math_divzerof(uint32_t);
|
|
hidden float __math_invalidf(float);
|
|
hidden double __math_xflow(uint32_t, double);
|
|
hidden double __math_uflow(uint32_t);
|
|
hidden double __math_oflow(uint32_t);
|
|
hidden double __math_divzero(uint32_t);
|
|
hidden double __math_invalid(double);
|
|
|
|
#endif
|