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https://github.com/intel/linux-sgx
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Li, Xun
396 lines
10 KiB
C
396 lines
10 KiB
C
/* $OpenBSD: math_private.h,v 1.11 2008/12/09 20:00:35 martynas Exp $ */
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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/*
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* from: @(#)fdlibm.h 5.1 93/09/24
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*/
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#ifndef _MATH_PRIVATE_H_
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#define _MATH_PRIVATE_H_
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#include <sys/types.h>
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#include <float.h> /* for FLT_EVAL_METHOD */
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/* The original fdlibm code used statements like:
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n0 = ((*(int*)&one)>>29)^1; * index of high word *
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ix0 = *(n0+(int*)&x); * high word of x *
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ix1 = *((1-n0)+(int*)&x); * low word of x *
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to dig two 32 bit words out of the 64 bit IEEE floating point
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value. That is non-ANSI, and, moreover, the gcc instruction
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scheduler gets it wrong. We instead use the following macros.
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Unlike the original code, we determine the endianness at compile
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time, not at run time; I don't see much benefit to selecting
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endianness at run time. */
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/* A union which permits us to convert between a long double and
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four 32 bit ints. */
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#if BYTE_ORDER == LITTLE_ENDIAN
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typedef union
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{
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long double value;
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struct {
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u_int32_t lswlo;
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u_int32_t lswhi;
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u_int32_t mswlo;
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u_int32_t mswhi;
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} parts32;
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struct {
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u_int64_t lsw;
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u_int64_t msw;
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} parts64;
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} ieee_quad_shape_type;
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#endif
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/* Get two 64 bit ints from a long double. */
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#define GET_LDOUBLE_WORDS64(ix0,ix1,d) \
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do { \
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ieee_quad_shape_type qw_u; \
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qw_u.value = (d); \
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(ix0) = qw_u.parts64.msw; \
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(ix1) = qw_u.parts64.lsw; \
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} while (0)
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/* Set a long double from two 64 bit ints. */
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#define SET_LDOUBLE_WORDS64(d,ix0,ix1) \
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do { \
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ieee_quad_shape_type qw_u; \
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qw_u.parts64.msw = (ix0); \
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qw_u.parts64.lsw = (ix1); \
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(d) = qw_u.value; \
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} while (0)
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/* Get the more significant 64 bits of a long double mantissa. */
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#define GET_LDOUBLE_MSW64(v,d) \
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do { \
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ieee_quad_shape_type sh_u; \
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sh_u.value = (d); \
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(v) = sh_u.parts64.msw; \
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} while (0)
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/* Set the more significant 64 bits of a long double mantissa from an int. */
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#define SET_LDOUBLE_MSW64(d,v) \
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do { \
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ieee_quad_shape_type sh_u; \
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sh_u.value = (d); \
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sh_u.parts64.msw = (v); \
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(d) = sh_u.value; \
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} while (0)
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/* Get the least significant 64 bits of a long double mantissa. */
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#define GET_LDOUBLE_LSW64(v,d) \
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do { \
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ieee_quad_shape_type sh_u; \
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sh_u.value = (d); \
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(v) = sh_u.parts64.lsw; \
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} while (0)
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/* A union which permits us to convert between a long double and
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three 32 bit ints. */
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#if BYTE_ORDER == LITTLE_ENDIAN
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typedef union
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{
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long double value;
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struct {
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u_int32_t lsw;
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u_int32_t msw;
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int exp:16;
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int padl:16;
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#ifdef __LP64__
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int padh:32;
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#endif
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} parts;
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} ieee_extended_shape_type;
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#endif
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/* Get three 32 bit ints from a double. */
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#define GET_LDOUBLE_WORDS(se,ix0,ix1,d) \
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do { \
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ieee_extended_shape_type ew_u; \
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ew_u.value = (d); \
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(se) = ew_u.parts.exp; \
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(ix0) = ew_u.parts.msw; \
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(ix1) = ew_u.parts.lsw; \
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} while (0)
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/* Set a double from two 32 bit ints. */
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#define SET_LDOUBLE_WORDS(d,se,ix0,ix1) \
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do { \
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ieee_extended_shape_type iw_u; \
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iw_u.parts.exp = (se); \
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iw_u.parts.msw = (ix0); \
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iw_u.parts.lsw = (ix1); \
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(d) = iw_u.value; \
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} while (0)
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/* Get the more significant 32 bits of a long double mantissa. */
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#define GET_LDOUBLE_MSW(v,d) \
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do { \
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ieee_extended_shape_type sh_u; \
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sh_u.value = (d); \
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(v) = sh_u.parts.msw; \
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} while (0)
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/* Set the more significant 32 bits of a long double mantissa from an int. */
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#define SET_LDOUBLE_MSW(d,v) \
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do { \
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ieee_extended_shape_type sh_u; \
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sh_u.value = (d); \
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sh_u.parts.msw = (v); \
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(d) = sh_u.value; \
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} while (0)
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/* Get int from the exponent of a long double. */
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#define GET_LDOUBLE_EXP(se,d) \
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do { \
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ieee_extended_shape_type ge_u; \
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ge_u.value = (d); \
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(se) = ge_u.parts.exp; \
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} while (0)
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/* Set exponent of a long double from an int. */
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#define SET_LDOUBLE_EXP(d,se) \
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do { \
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ieee_extended_shape_type se_u; \
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se_u.value = (d); \
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se_u.parts.exp = (se); \
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(d) = se_u.value; \
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} while (0)
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/* A union which permits us to convert between a double and two 32 bit
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ints. */
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typedef union
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{
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double value;
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struct
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{
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u_int32_t lsw;
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u_int32_t msw;
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} parts;
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} ieee_double_shape_type;
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/* Get two 32 bit ints from a double. */
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#define EXTRACT_WORDS(ix0,ix1,d) \
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do { \
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ieee_double_shape_type ew_u; \
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ew_u.value = (d); \
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(ix0) = ew_u.parts.msw; \
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(ix1) = ew_u.parts.lsw; \
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} while (0)
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/* Get the more significant 32 bit int from a double. */
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#define GET_HIGH_WORD(i,d) \
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do { \
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ieee_double_shape_type gh_u; \
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gh_u.value = (d); \
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(i) = gh_u.parts.msw; \
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} while (0)
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/* Get the less significant 32 bit int from a double. */
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#define GET_LOW_WORD(i,d) \
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do { \
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ieee_double_shape_type gl_u; \
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gl_u.value = (d); \
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(i) = gl_u.parts.lsw; \
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} while (0)
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/* Set a double from two 32 bit ints. */
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#define INSERT_WORDS(d,ix0,ix1) \
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do { \
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ieee_double_shape_type iw_u; \
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iw_u.parts.msw = (ix0); \
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iw_u.parts.lsw = (ix1); \
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(d) = iw_u.value; \
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} while (0)
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/* Set the more significant 32 bits of a double from an int. */
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#define SET_HIGH_WORD(d,v) \
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do { \
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ieee_double_shape_type sh_u; \
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sh_u.value = (d); \
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sh_u.parts.msw = (v); \
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(d) = sh_u.value; \
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} while (0)
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/* Set the less significant 32 bits of a double from an int. */
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#define SET_LOW_WORD(d,v) \
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do { \
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ieee_double_shape_type sl_u; \
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sl_u.value = (d); \
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sl_u.parts.lsw = (v); \
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(d) = sl_u.value; \
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} while (0)
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/* A union which permits us to convert between a float and a 32 bit
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int. */
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typedef union
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{
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float value;
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u_int32_t word;
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} ieee_float_shape_type;
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/* Get a 32 bit int from a float. */
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#define GET_FLOAT_WORD(i,d) \
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do { \
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ieee_float_shape_type gf_u; \
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gf_u.value = (d); \
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(i) = gf_u.word; \
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} while (0)
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/* Set a float from a 32 bit int. */
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#define SET_FLOAT_WORD(d,i) \
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do { \
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ieee_float_shape_type sf_u; \
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sf_u.word = (i); \
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(d) = sf_u.value; \
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} while (0)
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#ifdef FLT_EVAL_METHOD
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/*
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* Attempt to get strict C99 semantics for assignment with non-C99 compilers.
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*/
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#if FLT_EVAL_METHOD == 0 || __GNUC__ == 0
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#define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval))
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#else /* FLT_EVAL_METHOD == 0 || __GNUC__ == 0 */
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#define STRICT_ASSIGN(type, lval, rval) do { \
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volatile type __lval; \
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\
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if (sizeof(type) >= sizeof(double)) \
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(lval) = (rval); \
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else { \
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__lval = (rval); \
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(lval) = __lval; \
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} \
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} while (0)
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#endif /* FLT_EVAL_METHOD == 0 || __GNUC__ == 0 */
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#endif /* FLT_EVAL_METHOD */
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/* fdlibm kernel function */
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extern int __ieee754_rem_pio2(double,double*);
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extern double __kernel_sin(double,double,int);
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extern double __kernel_cos(double,double);
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extern double __kernel_tan(double,double,int);
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extern int __kernel_rem_pio2(double*,double*,int,int,int);
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/* float versions of fdlibm kernel functions */
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extern int __ieee754_rem_pio2f(float,float*);
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extern float __kernel_sinf(float,float,int);
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extern float __kernel_cosf(float,float);
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extern float __kernel_tanf(float,float,int);
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extern int __kernel_rem_pio2f(float*,float*,int,int,int,const int*);
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/* long double precision kernel functions */
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long double __kernel_sinl(long double, long double, int);
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long double __kernel_cosl(long double, long double);
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long double __kernel_tanl(long double, long double, int);
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/*
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* Common routine to process the arguments to nan(), nanf(), and nanl().
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*/
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void _scan_nan(uint32_t *__words, int __num_words, const char *__s);
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/*
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* TRUNC() is a macro that sets the trailing 27 bits in the mantissa
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* of an IEEE double variable to zero. It must be expression-like
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* for syntactic reasons, and we implement this expression using
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* an inline function instead of a pure macro to avoid depending
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* on the gcc feature of statement-expressions.
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*/
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#define TRUNC(d) (_b_trunc(&(d)))
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static __inline void
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_b_trunc(volatile double *_dp)
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{
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uint32_t _lw;
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GET_LOW_WORD(_lw, *_dp);
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SET_LOW_WORD(*_dp, _lw & 0xf8000000);
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}
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struct Double {
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double a;
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double b;
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};
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/*
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* Functions internal to the math package, yet not static.
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*/
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double __exp__D(double, double);
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struct Double __log__D(double);
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long double __p1evll(long double, void *, int);
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long double __polevll(long double, void *, int);
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/*
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* bzero() is a Linux specific function and is required by nan() in math library.
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* We import it as an internal function
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*/
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void bzero(void *, size_t);
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/* The following are "__BSD_VISIBLE" functions, but we need them. */
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/*
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* Reentrant version of gamma & lgamma; passes signgam back by reference
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* as the second argument; user must allocate space for signgam.
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*/
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double gamma_r(double, int *);
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double lgamma_r(double, int *);
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/*
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* Float versions of reentrant version of gamma & lgamma; passes
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* signgam back by reference as the second argument; user must
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* allocate space for signgam.
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*/
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float gammaf_r(float, int *);
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float lgammaf_r(float, int *);
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double scalb(double, double);
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#define M_E ((double)2.7182818284590452354) /* e */
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#define M_LOG2E ((double)1.4426950408889634074) /* log 2e */
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#define M_LOG10E ((double)0.43429448190325182765) /* log 10e */
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#define M_LN2 ((double)0.69314718055994530942) /* log e2 */
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#define M_LN10 ((double)2.30258509299404568402) /* log e10 */
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#define M_PI ((double)3.14159265358979323846) /* pi */
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#define M_PI_2 ((double)1.57079632679489661923) /* pi/2 */
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#define M_PI_4 ((double)0.78539816339744830962) /* pi/4 */
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#define M_1_PI ((double)0.31830988618379067154) /* 1/pi */
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#define M_2_PI ((double)0.63661977236758134308) /* 2/pi */
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#define M_2_SQRTPI ((double)1.12837916709551257390) /* 2/sqrt(pi) */
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#define M_SQRT2 ((double)1.41421356237309504880) /* sqrt(2) */
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#define M_SQRT1_2 ((double)0.70710678118654752440) /* 1/sqrt(2) */
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#define MAXFLOAT ((float)3.40282346638528860e+38)
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extern int signgam;
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#endif /* _MATH_PRIVATE_H_ */
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