sdk-hwV1.3/lichee/linux-4.9/lib/libm/math_private.h

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/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/*
* from: @(#)fdlibm.h 5.1 93/09/24
* $FreeBSD: head/lib/msun/src/math_private.h 336663 2018-07-24 10:10:16Z bde $
*/
#ifndef _MATH_PRIVATE_H_
#define _MATH_PRIVATE_H_
#include <linux/types.h>
/*
* The original fdlibm code used statements like:
* n0 = ((*(int*)&one)>>29)^1; * index of high word *
* ix0 = *(n0+(int*)&x); * high word of x *
* ix1 = *((1-n0)+(int*)&x); * low word of x *
* to dig two 32 bit words out of the 64 bit IEEE floating point
* value. That is non-ANSI, and, moreover, the gcc instruction
* scheduler gets it wrong. We instead use the following macros.
* Unlike the original code, we determine the endianness at compile
* time, not at run time; I don't see much benefit to selecting
* endianness at run time.
*/
/*
* A union which permits us to convert between a double and two 32 bit
* ints.
*/
/* A union which permits us to convert between a long double and
four 32 bit ints. */
#ifdef CPU_BIG_ENDIAN
typedef union
{
long double value;
struct {
u_int32_t mswhi;
u_int32_t mswlo;
u_int32_t lswhi;
u_int32_t lswlo;
} parts32;
struct {
u_int64_t msw;
u_int64_t lsw;
} parts64;
} ieee_quad_shape_type;
#else
typedef union
{
long double value;
struct {
u_int32_t lswlo;
u_int32_t lswhi;
u_int32_t mswlo;
u_int32_t mswhi;
} parts32;
struct {
u_int64_t lsw;
u_int64_t msw;
} parts64;
} ieee_quad_shape_type;
#endif
#ifdef CPU_BIG_ENDIAN
typedef union
{
double value;
struct
{
u_int32_t msw;
u_int32_t lsw;
} parts;
struct
{
u_int64_t w;
} xparts;
} ieee_double_shape_type;
#else
typedef union
{
double value;
struct
{
u_int32_t lsw;
u_int32_t msw;
} parts;
struct
{
u_int64_t w;
} xparts;
} ieee_double_shape_type;
#endif
/* Get two 32 bit ints from a double. */
#define EXTRACT_WORDS(ix0,ix1,d) \
do { \
ieee_double_shape_type ew_u; \
ew_u.value = (d); \
(ix0) = ew_u.parts.msw; \
(ix1) = ew_u.parts.lsw; \
} while (0)
/* Get a 64-bit int from a double. */
#define EXTRACT_WORD64(ix,d) \
do { \
ieee_double_shape_type ew_u; \
ew_u.value = (d); \
(ix) = ew_u.xparts.w; \
} while (0)
/* Get the more significant 32 bit int from a double. */
#define GET_HIGH_WORD(i,d) \
do { \
ieee_double_shape_type gh_u; \
gh_u.value = (d); \
(i) = gh_u.parts.msw; \
} while (0)
/* Get the less significant 32 bit int from a double. */
#define GET_LOW_WORD(i,d) \
do { \
ieee_double_shape_type gl_u; \
gl_u.value = (d); \
(i) = gl_u.parts.lsw; \
} while (0)
/* Set a double from two 32 bit ints. */
#define INSERT_WORDS(d,ix0,ix1) \
do { \
ieee_double_shape_type iw_u; \
iw_u.parts.msw = (ix0); \
iw_u.parts.lsw = (ix1); \
(d) = iw_u.value; \
} while (0)
/* Set a double from a 64-bit int. */
#define INSERT_WORD64(d,ix) \
do { \
ieee_double_shape_type iw_u; \
iw_u.xparts.w = (ix); \
(d) = iw_u.value; \
} while (0)
/* Set the more significant 32 bits of a double from an int. */
#define SET_HIGH_WORD(d,v) \
do { \
ieee_double_shape_type sh_u; \
sh_u.value = (d); \
sh_u.parts.msw = (v); \
(d) = sh_u.value; \
} while (0)
/* Set the less significant 32 bits of a double from an int. */
#define SET_LOW_WORD(d,v) \
do { \
ieee_double_shape_type sl_u; \
sl_u.value = (d); \
sl_u.parts.lsw = (v); \
(d) = sl_u.value; \
} while (0)
/*
* A union which permits us to convert between a float and a 32 bit
* int.
*/
typedef union
{
float value;
/* FIXME: Assumes 32 bit int. */
unsigned int word;
} ieee_float_shape_type;
/* Get a 32 bit int from a float. */
#define GET_FLOAT_WORD(i,d) \
do { \
ieee_float_shape_type gf_u; \
gf_u.value = (d); \
(i) = gf_u.word; \
} while (0)
/* Set a float from a 32 bit int. */
#define SET_FLOAT_WORD(d,i) \
do { \
ieee_float_shape_type sf_u; \
sf_u.word = (i); \
(d) = sf_u.value; \
} while (0)
/*
* Get expsign and mantissa as 16 bit and 64 bit ints from an 80 bit long
* double.
*/
#define EXTRACT_LDBL80_WORDS(ix0,ix1,d) \
do { \
union IEEEl2bits ew_u; \
ew_u.e = (d); \
(ix0) = ew_u.xbits.expsign; \
(ix1) = ew_u.xbits.man; \
} while (0)
/*
* Get expsign and mantissa as one 16 bit and two 64 bit ints from a 128 bit
* long double.
*/
#define EXTRACT_LDBL128_WORDS(ix0,ix1,ix2,d) \
do { \
union IEEEl2bits ew_u; \
ew_u.e = (d); \
(ix0) = ew_u.xbits.expsign; \
(ix1) = ew_u.xbits.manh; \
(ix2) = ew_u.xbits.manl; \
} while (0)
/* Get expsign as a 16 bit int from a long double. */
#define GET_LDBL_EXPSIGN(i,d) \
do { \
union IEEEl2bits ge_u; \
ge_u.e = (d); \
(i) = ge_u.xbits.expsign; \
} while (0)
/*
* Set an 80 bit long double from a 16 bit int expsign and a 64 bit int
* mantissa.
*/
#define INSERT_LDBL80_WORDS(d,ix0,ix1) \
do { \
union IEEEl2bits iw_u; \
iw_u.xbits.expsign = (ix0); \
iw_u.xbits.man = (ix1); \
(d) = iw_u.e; \
} while (0)
/*
* Set a 128 bit long double from a 16 bit int expsign and two 64 bit ints
* comprising the mantissa.
*/
#define INSERT_LDBL128_WORDS(d,ix0,ix1,ix2) \
do { \
union IEEEl2bits iw_u; \
iw_u.xbits.expsign = (ix0); \
iw_u.xbits.manh = (ix1); \
iw_u.xbits.manl = (ix2); \
(d) = iw_u.e; \
} while (0)
/* Set expsign of a long double from a 16 bit int. */
#define SET_LDBL_EXPSIGN(d,v) \
do { \
union IEEEl2bits se_u; \
se_u.e = (d); \
se_u.xbits.expsign = (v); \
(d) = se_u.e; \
} while (0)
double __kernel_tan(double, double, int);
#define nan_mix(x, y) (nan_mix_op((x), (y), +))
#define nan_mix_op(x, y, op) (((x) + 0.0L) op ((y) + 0))
#define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval))
#define irint(x) ((int)(x))
static inline double rnint(double x)
{
return ((double)(x + 0x1.8p52) - 0x1.8p52);
}
static inline float rnintf(float x)
{
return ((float)(x + 0x1.8p23F) - 0x1.8p23F);
}
#endif /* !_MATH_PRIVATE_H_ */