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f1e005022e
Revert: 2017-12-19 Joseph Myers <joseph@codesourcery.com> * sysdeps/x86_64/fpu/libm-test-ulps: Update. 2017-12-19 Patrick McGehearty <patrick.mcgehearty@oracle.com> * sysdeps/ieee754/dbl-64/e_exp.c: Include <math-svid-compat.h> and <errno.h>. Include "eexp.tbl". (half): New constant. (one): Likewise. (__ieee754_exp): Rewrite. (__slowexp): Remove prototype. * sysdeps/ieee754/dbl-64/eexp.tbl: New file. * sysdeps/ieee754/dbl-64/slowexp.c: Remove file. * sysdeps/i386/fpu/slowexp.c: Likewise. * sysdeps/ia64/fpu/slowexp.c: Likewise. * sysdeps/m68k/m680x0/fpu/slowexp.c: Likewise. * sysdeps/x86_64/fpu/multiarch/slowexp-avx.c: Likewise. * sysdeps/x86_64/fpu/multiarch/slowexp-fma.c: Likewise. * sysdeps/x86_64/fpu/multiarch/slowexp-fma4.c: Likewise. * sysdeps/generic/math_private.h (__slowexp): Remove prototype. * sysdeps/ieee754/dbl-64/e_pow.c: Remove mention of slowexp.c in comment. * sysdeps/powerpc/power4/fpu/Makefile [$(subdir) = math] (CPPFLAGS-slowexp.c): Remove variable. * sysdeps/x86_64/fpu/multiarch/Makefile (libm-sysdep_routines): Remove slowexp-fma, slowexp-fma4 and slowexp-avx. (CFLAGS-slowexp-fma.c): Remove variable. (CFLAGS-slowexp-fma4.c): Likewise. (CFLAGS-slowexp-avx.c): Likewise. * sysdeps/x86_64/fpu/multiarch/e_exp-avx.c (__slowexp): Do not define as macro. * sysdeps/x86_64/fpu/multiarch/e_exp-fma.c (__slowexp): Likewise. * sysdeps/x86_64/fpu/multiarch/e_exp-fma4.c (__slowexp): Likewise. * math/Makefile (type-double-routines): Remove slowexp. * manual/probes.texi (slowexp_p6): Remove. (slowexp_p32): Likewise.
647 lines
18 KiB
C
647 lines
18 KiB
C
/*
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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 <endian.h>
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#include <stdint.h>
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#include <sys/types.h>
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#include <fenv.h>
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#include <float.h>
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#include <get-rounding-mode.h>
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/* Gather machine dependent _Floatn support. */
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#include <bits/floatn.h>
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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 double and two 32 bit
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ints. */
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#if __FLOAT_WORD_ORDER == __BIG_ENDIAN
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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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uint32_t msw;
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uint32_t lsw;
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} parts;
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uint64_t word;
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} ieee_double_shape_type;
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#endif
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#if __FLOAT_WORD_ORDER == __LITTLE_ENDIAN
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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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uint32_t lsw;
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uint32_t msw;
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} parts;
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uint64_t word;
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} ieee_double_shape_type;
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#endif
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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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#ifndef GET_HIGH_WORD
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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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#endif
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/* Get the less significant 32 bit int from a double. */
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#ifndef GET_LOW_WORD
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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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#endif
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/* Get all in one, efficient on 64-bit machines. */
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#ifndef EXTRACT_WORDS64
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# define EXTRACT_WORDS64(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.word; \
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} while (0)
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#endif
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/* Set a double from two 32 bit ints. */
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#ifndef INSERT_WORDS
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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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#endif
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/* Get all in one, efficient on 64-bit machines. */
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#ifndef INSERT_WORDS64
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# define INSERT_WORDS64(d,i) \
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do { \
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ieee_double_shape_type iw_u; \
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iw_u.word = (i); \
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(d) = iw_u.value; \
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} while (0)
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#endif
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/* Set the more significant 32 bits of a double from an int. */
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#ifndef SET_HIGH_WORD
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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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#endif
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/* Set the less significant 32 bits of a double from an int. */
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#ifndef SET_LOW_WORD
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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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#endif
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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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uint32_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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#ifndef GET_FLOAT_WORD
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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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#endif
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/* Set a float from a 32 bit int. */
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#ifndef SET_FLOAT_WORD
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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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#endif
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/* We need to guarantee an expansion of name when building
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ldbl-128 files as another type (e.g _Float128). */
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#define mathx_hidden_def(name) hidden_def(name)
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/* Get long double macros from a separate header. */
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#include <math_ldbl.h>
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/* Include function declarations for each floating-point. */
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#define _Mdouble_ double
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#define _MSUF_
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#include <math_private_calls.h>
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#undef _MSUF_
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#undef _Mdouble_
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#define _Mdouble_ float
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#define _MSUF_ f
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#define __MATH_DECLARING_FLOAT
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#include <math_private_calls.h>
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#undef __MATH_DECLARING_FLOAT
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#undef _MSUF_
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#undef _Mdouble_
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#define _Mdouble_ long double
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#define _MSUF_ l
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#define __MATH_DECLARING_LONG_DOUBLE
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#include <math_private_calls.h>
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#undef __MATH_DECLARING_LONG_DOUBLE
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#undef _MSUF_
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#undef _Mdouble_
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#if __HAVE_DISTINCT_FLOAT128
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# define _Mdouble_ _Float128
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# define _MSUF_ f128
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# define __MATH_DECLARING_FLOATN
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# include <math_private_calls.h>
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# undef __MATH_DECLARING_FLOATN
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# undef _MSUF_
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# undef _Mdouble_
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#endif
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#if __HAVE_DISTINCT_FLOAT128
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/* __builtin_isinf_sign is broken in GCC < 7 for float128. */
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# if ! __GNUC_PREREQ (7, 0)
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# include <ieee754_float128.h>
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extern inline int
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__isinff128 (_Float128 x)
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{
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int64_t hx, lx;
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GET_FLOAT128_WORDS64 (hx, lx, x);
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lx |= (hx & 0x7fffffffffffffffLL) ^ 0x7fff000000000000LL;
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lx |= -lx;
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return ~(lx >> 63) & (hx >> 62);
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}
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# endif
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extern inline _Float128
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fabsf128 (_Float128 x)
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{
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return __builtin_fabsf128 (x);
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}
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#endif
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/* Prototypes for functions of the IBM Accurate Mathematical Library. */
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extern double __exp1 (double __x, double __xx, double __error);
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extern double __sin (double __x);
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extern double __cos (double __x);
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extern int __branred (double __x, double *__a, double *__aa);
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extern void __doasin (double __x, double __dx, double __v[]);
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extern void __dubsin (double __x, double __dx, double __v[]);
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extern void __dubcos (double __x, double __dx, double __v[]);
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extern double __halfulp (double __x, double __y);
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extern double __sin32 (double __x, double __res, double __res1);
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extern double __cos32 (double __x, double __res, double __res1);
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extern double __mpsin (double __x, double __dx, bool __range_reduce);
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extern double __mpcos (double __x, double __dx, bool __range_reduce);
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extern double __slowexp (double __x);
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extern double __slowpow (double __x, double __y, double __z);
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extern void __docos (double __x, double __dx, double __v[]);
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#ifndef math_opt_barrier
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# define math_opt_barrier(x) \
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({ __typeof (x) __x = (x); __asm ("" : "+m" (__x)); __x; })
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# define math_force_eval(x) \
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({ __typeof (x) __x = (x); __asm __volatile__ ("" : : "m" (__x)); })
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#endif
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/* math_narrow_eval reduces its floating-point argument to the range
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and precision of its semantic type. (The original evaluation may
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still occur with excess range and precision, so the result may be
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affected by double rounding.) */
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#if FLT_EVAL_METHOD == 0
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# define math_narrow_eval(x) (x)
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#else
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# if FLT_EVAL_METHOD == 1
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# define excess_precision(type) __builtin_types_compatible_p (type, float)
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# else
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# define excess_precision(type) (__builtin_types_compatible_p (type, float) \
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|| __builtin_types_compatible_p (type, \
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double))
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# endif
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# define math_narrow_eval(x) \
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({ \
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__typeof (x) math_narrow_eval_tmp = (x); \
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if (excess_precision (__typeof (math_narrow_eval_tmp))) \
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__asm__ ("" : "+m" (math_narrow_eval_tmp)); \
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math_narrow_eval_tmp; \
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})
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#endif
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#define fabs_tg(x) __MATH_TG ((x), (__typeof (x)) __builtin_fabs, (x))
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/* These must be function-like macros because some __MATH_TG
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implementations macro-expand the function-name argument before
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concatenating a suffix to it. */
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#define min_of_type_f() FLT_MIN
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#define min_of_type_() DBL_MIN
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#define min_of_type_l() LDBL_MIN
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#define min_of_type_f128() FLT128_MIN
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#define min_of_type(x) __MATH_TG ((x), (__typeof (x)) min_of_type_, ())
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/* If X (which is not a NaN) is subnormal, force an underflow
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exception. */
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#define math_check_force_underflow(x) \
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do \
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{ \
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__typeof (x) force_underflow_tmp = (x); \
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if (fabs_tg (force_underflow_tmp) \
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< min_of_type (force_underflow_tmp)) \
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{ \
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__typeof (force_underflow_tmp) force_underflow_tmp2 \
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= force_underflow_tmp * force_underflow_tmp; \
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math_force_eval (force_underflow_tmp2); \
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} \
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} \
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while (0)
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/* Likewise, but X is also known to be nonnegative. */
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#define math_check_force_underflow_nonneg(x) \
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do \
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{ \
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__typeof (x) force_underflow_tmp = (x); \
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if (force_underflow_tmp \
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< min_of_type (force_underflow_tmp)) \
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{ \
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__typeof (force_underflow_tmp) force_underflow_tmp2 \
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= force_underflow_tmp * force_underflow_tmp; \
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math_force_eval (force_underflow_tmp2); \
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} \
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} \
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while (0)
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/* Likewise, for both real and imaginary parts of a complex
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result. */
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#define math_check_force_underflow_complex(x) \
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do \
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{ \
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__typeof (x) force_underflow_complex_tmp = (x); \
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math_check_force_underflow (__real__ force_underflow_complex_tmp); \
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math_check_force_underflow (__imag__ force_underflow_complex_tmp); \
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} \
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while (0)
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/* The standards only specify one variant of the fenv.h interfaces.
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But at least for some architectures we can be more efficient if we
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know what operations are going to be performed. Therefore we
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define additional interfaces. By default they refer to the normal
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interfaces. */
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static __always_inline void
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default_libc_feholdexcept (fenv_t *e)
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{
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(void) __feholdexcept (e);
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}
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#ifndef libc_feholdexcept
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# define libc_feholdexcept default_libc_feholdexcept
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#endif
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#ifndef libc_feholdexceptf
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# define libc_feholdexceptf default_libc_feholdexcept
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#endif
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#ifndef libc_feholdexceptl
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# define libc_feholdexceptl default_libc_feholdexcept
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#endif
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static __always_inline void
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default_libc_fesetround (int r)
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{
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(void) __fesetround (r);
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}
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#ifndef libc_fesetround
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# define libc_fesetround default_libc_fesetround
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#endif
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#ifndef libc_fesetroundf
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# define libc_fesetroundf default_libc_fesetround
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#endif
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#ifndef libc_fesetroundl
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# define libc_fesetroundl default_libc_fesetround
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#endif
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static __always_inline void
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default_libc_feholdexcept_setround (fenv_t *e, int r)
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{
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__feholdexcept (e);
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__fesetround (r);
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}
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#ifndef libc_feholdexcept_setround
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# define libc_feholdexcept_setround default_libc_feholdexcept_setround
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#endif
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#ifndef libc_feholdexcept_setroundf
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# define libc_feholdexcept_setroundf default_libc_feholdexcept_setround
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#endif
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#ifndef libc_feholdexcept_setroundl
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# define libc_feholdexcept_setroundl default_libc_feholdexcept_setround
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#endif
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#ifndef libc_feholdsetround_53bit
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# define libc_feholdsetround_53bit libc_feholdsetround
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#endif
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#ifndef libc_fetestexcept
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# define libc_fetestexcept fetestexcept
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#endif
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#ifndef libc_fetestexceptf
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# define libc_fetestexceptf fetestexcept
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#endif
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#ifndef libc_fetestexceptl
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# define libc_fetestexceptl fetestexcept
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#endif
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static __always_inline void
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default_libc_fesetenv (fenv_t *e)
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{
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(void) __fesetenv (e);
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}
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#ifndef libc_fesetenv
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# define libc_fesetenv default_libc_fesetenv
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#endif
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#ifndef libc_fesetenvf
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# define libc_fesetenvf default_libc_fesetenv
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#endif
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#ifndef libc_fesetenvl
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# define libc_fesetenvl default_libc_fesetenv
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#endif
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static __always_inline void
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default_libc_feupdateenv (fenv_t *e)
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{
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(void) __feupdateenv (e);
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}
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#ifndef libc_feupdateenv
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# define libc_feupdateenv default_libc_feupdateenv
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#endif
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#ifndef libc_feupdateenvf
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# define libc_feupdateenvf default_libc_feupdateenv
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#endif
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#ifndef libc_feupdateenvl
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# define libc_feupdateenvl default_libc_feupdateenv
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#endif
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#ifndef libc_feresetround_53bit
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# define libc_feresetround_53bit libc_feresetround
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#endif
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static __always_inline int
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default_libc_feupdateenv_test (fenv_t *e, int ex)
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{
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int ret = fetestexcept (ex);
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__feupdateenv (e);
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return ret;
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}
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#ifndef libc_feupdateenv_test
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# define libc_feupdateenv_test default_libc_feupdateenv_test
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#endif
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#ifndef libc_feupdateenv_testf
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# define libc_feupdateenv_testf default_libc_feupdateenv_test
|
|
#endif
|
|
#ifndef libc_feupdateenv_testl
|
|
# define libc_feupdateenv_testl default_libc_feupdateenv_test
|
|
#endif
|
|
|
|
/* Save and set the rounding mode. The use of fenv_t to store the old mode
|
|
allows a target-specific version of this function to avoid converting the
|
|
rounding mode from the fpu format. By default we have no choice but to
|
|
manipulate the entire env. */
|
|
|
|
#ifndef libc_feholdsetround
|
|
# define libc_feholdsetround libc_feholdexcept_setround
|
|
#endif
|
|
#ifndef libc_feholdsetroundf
|
|
# define libc_feholdsetroundf libc_feholdexcept_setroundf
|
|
#endif
|
|
#ifndef libc_feholdsetroundl
|
|
# define libc_feholdsetroundl libc_feholdexcept_setroundl
|
|
#endif
|
|
|
|
/* ... and the reverse. */
|
|
|
|
#ifndef libc_feresetround
|
|
# define libc_feresetround libc_feupdateenv
|
|
#endif
|
|
#ifndef libc_feresetroundf
|
|
# define libc_feresetroundf libc_feupdateenvf
|
|
#endif
|
|
#ifndef libc_feresetroundl
|
|
# define libc_feresetroundl libc_feupdateenvl
|
|
#endif
|
|
|
|
/* ... and a version that may also discard exceptions. */
|
|
|
|
#ifndef libc_feresetround_noex
|
|
# define libc_feresetround_noex libc_fesetenv
|
|
#endif
|
|
#ifndef libc_feresetround_noexf
|
|
# define libc_feresetround_noexf libc_fesetenvf
|
|
#endif
|
|
#ifndef libc_feresetround_noexl
|
|
# define libc_feresetround_noexl libc_fesetenvl
|
|
#endif
|
|
|
|
#ifndef HAVE_RM_CTX
|
|
# define HAVE_RM_CTX 0
|
|
#endif
|
|
|
|
#if HAVE_RM_CTX
|
|
/* Set/Restore Rounding Modes only when necessary. If defined, these functions
|
|
set/restore floating point state only if the state needed within the lexical
|
|
block is different from the current state. This saves a lot of time when
|
|
the floating point unit is much slower than the fixed point units. */
|
|
|
|
# ifndef libc_feholdsetround_noex_ctx
|
|
# define libc_feholdsetround_noex_ctx libc_feholdsetround_ctx
|
|
# endif
|
|
# ifndef libc_feholdsetround_noexf_ctx
|
|
# define libc_feholdsetround_noexf_ctx libc_feholdsetroundf_ctx
|
|
# endif
|
|
# ifndef libc_feholdsetround_noexl_ctx
|
|
# define libc_feholdsetround_noexl_ctx libc_feholdsetroundl_ctx
|
|
# endif
|
|
|
|
# ifndef libc_feresetround_noex_ctx
|
|
# define libc_feresetround_noex_ctx libc_fesetenv_ctx
|
|
# endif
|
|
# ifndef libc_feresetround_noexf_ctx
|
|
# define libc_feresetround_noexf_ctx libc_fesetenvf_ctx
|
|
# endif
|
|
# ifndef libc_feresetround_noexl_ctx
|
|
# define libc_feresetround_noexl_ctx libc_fesetenvl_ctx
|
|
# endif
|
|
|
|
#else
|
|
|
|
/* Default implementation using standard fenv functions.
|
|
Avoid unnecessary rounding mode changes by first checking the
|
|
current rounding mode. Note the use of __glibc_unlikely is
|
|
important for performance. */
|
|
|
|
static __always_inline void
|
|
libc_feholdsetround_ctx (struct rm_ctx *ctx, int round)
|
|
{
|
|
ctx->updated_status = false;
|
|
|
|
/* Update rounding mode only if different. */
|
|
if (__glibc_unlikely (round != get_rounding_mode ()))
|
|
{
|
|
ctx->updated_status = true;
|
|
__fegetenv (&ctx->env);
|
|
__fesetround (round);
|
|
}
|
|
}
|
|
|
|
static __always_inline void
|
|
libc_feresetround_ctx (struct rm_ctx *ctx)
|
|
{
|
|
/* Restore the rounding mode if updated. */
|
|
if (__glibc_unlikely (ctx->updated_status))
|
|
__feupdateenv (&ctx->env);
|
|
}
|
|
|
|
static __always_inline void
|
|
libc_feholdsetround_noex_ctx (struct rm_ctx *ctx, int round)
|
|
{
|
|
/* Save exception flags and rounding mode. */
|
|
__fegetenv (&ctx->env);
|
|
|
|
/* Update rounding mode only if different. */
|
|
if (__glibc_unlikely (round != get_rounding_mode ()))
|
|
__fesetround (round);
|
|
}
|
|
|
|
static __always_inline void
|
|
libc_feresetround_noex_ctx (struct rm_ctx *ctx)
|
|
{
|
|
/* Restore exception flags and rounding mode. */
|
|
__fesetenv (&ctx->env);
|
|
}
|
|
|
|
# define libc_feholdsetroundf_ctx libc_feholdsetround_ctx
|
|
# define libc_feholdsetroundl_ctx libc_feholdsetround_ctx
|
|
# define libc_feresetroundf_ctx libc_feresetround_ctx
|
|
# define libc_feresetroundl_ctx libc_feresetround_ctx
|
|
|
|
# define libc_feholdsetround_noexf_ctx libc_feholdsetround_noex_ctx
|
|
# define libc_feholdsetround_noexl_ctx libc_feholdsetround_noex_ctx
|
|
# define libc_feresetround_noexf_ctx libc_feresetround_noex_ctx
|
|
# define libc_feresetround_noexl_ctx libc_feresetround_noex_ctx
|
|
|
|
#endif
|
|
|
|
#ifndef libc_feholdsetround_53bit_ctx
|
|
# define libc_feholdsetround_53bit_ctx libc_feholdsetround_ctx
|
|
#endif
|
|
#ifndef libc_feresetround_53bit_ctx
|
|
# define libc_feresetround_53bit_ctx libc_feresetround_ctx
|
|
#endif
|
|
|
|
#define SET_RESTORE_ROUND_GENERIC(RM,ROUNDFUNC,CLEANUPFUNC) \
|
|
struct rm_ctx ctx __attribute__((cleanup (CLEANUPFUNC ## _ctx))); \
|
|
ROUNDFUNC ## _ctx (&ctx, (RM))
|
|
|
|
/* Set the rounding mode within a lexical block. Restore the rounding mode to
|
|
the value at the start of the block. The exception mode must be preserved.
|
|
Exceptions raised within the block must be set in the exception flags.
|
|
Non-stop mode may be enabled inside the block. */
|
|
|
|
#define SET_RESTORE_ROUND(RM) \
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround, libc_feresetround)
|
|
#define SET_RESTORE_ROUNDF(RM) \
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetroundf, libc_feresetroundf)
|
|
#define SET_RESTORE_ROUNDL(RM) \
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetroundl, libc_feresetroundl)
|
|
|
|
/* Set the rounding mode within a lexical block. Restore the rounding mode to
|
|
the value at the start of the block. The exception mode must be preserved.
|
|
Exceptions raised within the block must be discarded, and exception flags
|
|
are restored to the value at the start of the block.
|
|
Non-stop mode may be enabled inside the block. */
|
|
|
|
#define SET_RESTORE_ROUND_NOEX(RM) \
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround_noex, \
|
|
libc_feresetround_noex)
|
|
#define SET_RESTORE_ROUND_NOEXF(RM) \
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround_noexf, \
|
|
libc_feresetround_noexf)
|
|
#define SET_RESTORE_ROUND_NOEXL(RM) \
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround_noexl, \
|
|
libc_feresetround_noexl)
|
|
|
|
/* Like SET_RESTORE_ROUND, but also set rounding precision to 53 bits. */
|
|
#define SET_RESTORE_ROUND_53BIT(RM) \
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround_53bit, \
|
|
libc_feresetround_53bit)
|
|
|
|
#endif /* _MATH_PRIVATE_H_ */
|