1996-03-05 21:41:30 +00:00
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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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1999-07-14 00:54:57 +00:00
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#include <endian.h>
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2009-08-25 01:05:48 +00:00
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#include <stdint.h>
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1996-03-05 21:41:30 +00:00
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#include <sys/types.h>
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2012-03-09 20:51:27 +00:00
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#include <fenv.h>
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2014-06-23 16:15:41 +00:00
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#include <get-rounding-mode.h>
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1996-03-05 21:41:30 +00:00
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2017-05-04 20:00:33 +00:00
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/* Gather machine dependent _Floatn support. */
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#include <bits/floatn.h>
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1996-03-05 21:41:30 +00:00
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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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2016-11-21 01:46:30 +00:00
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#if __FLOAT_WORD_ORDER == __BIG_ENDIAN
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1996-03-05 21:41:30 +00:00
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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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2017-08-03 19:55:04 +00:00
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uint32_t msw;
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uint32_t lsw;
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1996-03-05 21:41:30 +00:00
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} parts;
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2009-08-25 01:05:48 +00:00
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uint64_t word;
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1996-03-05 21:41:30 +00:00
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} ieee_double_shape_type;
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#endif
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2016-11-21 01:46:30 +00:00
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#if __FLOAT_WORD_ORDER == __LITTLE_ENDIAN
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1996-03-05 21:41:30 +00:00
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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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2017-08-03 19:55:04 +00:00
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uint32_t lsw;
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uint32_t msw;
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1996-03-05 21:41:30 +00:00
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} parts;
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2009-08-25 01:05:48 +00:00
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uint64_t word;
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1996-03-05 21:41:30 +00:00
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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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2012-03-09 20:38:23 +00:00
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#ifndef GET_HIGH_WORD
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# define GET_HIGH_WORD(i,d) \
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1996-03-05 21:41:30 +00:00
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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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2012-03-09 20:38:23 +00:00
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#endif
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1996-03-05 21:41:30 +00:00
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/* Get the less significant 32 bit int from a double. */
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2012-03-09 20:38:23 +00:00
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#ifndef GET_LOW_WORD
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# define GET_LOW_WORD(i,d) \
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1996-03-05 21:41:30 +00:00
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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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2012-03-09 20:38:23 +00:00
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#endif
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1996-03-05 21:41:30 +00:00
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2009-08-25 01:05:48 +00:00
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/* Get all in one, efficient on 64-bit machines. */
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2012-03-09 20:38:23 +00:00
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#ifndef EXTRACT_WORDS64
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# define EXTRACT_WORDS64(i,d) \
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2009-08-25 01:05:48 +00:00
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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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2012-03-09 20:38:23 +00:00
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#endif
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2009-08-25 01:05:48 +00:00
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1996-03-05 21:41:30 +00:00
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/* Set a double from two 32 bit ints. */
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2012-03-09 20:38:23 +00:00
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#ifndef INSERT_WORDS
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# define INSERT_WORDS(d,ix0,ix1) \
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1996-03-05 21:41:30 +00:00
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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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2012-03-09 20:38:23 +00:00
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#endif
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1996-03-05 21:41:30 +00:00
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2009-08-25 01:05:48 +00:00
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/* Get all in one, efficient on 64-bit machines. */
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2012-03-09 20:38:23 +00:00
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#ifndef INSERT_WORDS64
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# define INSERT_WORDS64(d,i) \
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2009-08-25 01:05:48 +00:00
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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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2012-03-09 20:38:23 +00:00
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#endif
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2009-08-25 01:05:48 +00:00
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1996-03-05 21:41:30 +00:00
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/* Set the more significant 32 bits of a double from an int. */
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2012-03-09 20:38:23 +00:00
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#ifndef SET_HIGH_WORD
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1996-03-05 21:41:30 +00:00
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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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2012-03-09 20:38:23 +00:00
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#endif
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1996-03-05 21:41:30 +00:00
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/* Set the less significant 32 bits of a double from an int. */
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2012-03-09 20:38:23 +00:00
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#ifndef SET_LOW_WORD
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# define SET_LOW_WORD(d,v) \
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1996-03-05 21:41:30 +00:00
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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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2012-03-09 20:38:23 +00:00
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#endif
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1996-03-05 21:41:30 +00:00
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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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2017-08-03 19:55:04 +00:00
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uint32_t word;
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1996-03-05 21:41:30 +00:00
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} ieee_float_shape_type;
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/* Get a 32 bit int from a float. */
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2012-03-09 20:38:23 +00:00
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#ifndef GET_FLOAT_WORD
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# define GET_FLOAT_WORD(i,d) \
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1996-03-05 21:41:30 +00:00
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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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2012-03-09 20:38:23 +00:00
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#endif
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1996-03-05 21:41:30 +00:00
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/* Set a float from a 32 bit int. */
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2012-03-09 20:38:23 +00:00
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#ifndef SET_FLOAT_WORD
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# define SET_FLOAT_WORD(d,i) \
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1996-03-05 21:41:30 +00:00
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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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2012-03-09 20:38:23 +00:00
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#endif
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1996-03-05 21:41:30 +00:00
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2017-05-04 17:47:27 +00:00
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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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1999-07-14 00:54:57 +00:00
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/* Get long double macros from a separate header. */
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#include <math_ldbl.h>
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Thu May 30 11:24:05 1996 Roland McGrath <roland@delasyd.gnu.ai.mit.edu>
* po/header.pot: Replace with exact boilerplate pinard dictates.
* sysdeps/i386/strtok.S (Lillegal_argument): Remove this code to set
errno and the check that jumped to it.
* sysdeps/mach/hurd/Makefile (errnos.d): Use $(sed-remove-objpfx).
Thu May 30 03:21:57 1996 Ulrich Drepper <drepper@cygnus.com>
* FAQ: Document need of gperf program for developers.
* elf/elf.h: Fix typos in comments.
* libio/stdio.h [!__STRICT_ANSI__ || _POSIX_SOURCE]: Add
prototypes for `ctermid' and `cuserid'.
* locale/programs/locale.c: Switch to user selected locale
before printing variables.
* math/Makefile [$(long-double-fcts)==yes]: Define long-m-routines
and long-c-routines. Only if the `long double' data type is
available we need to compile the functions.
(libm-routines): Add $(long-m-routines).
(routines): Remove isinfl, isnanl. Use new file s_isinfl and
s_isnanl instead if `long double' is available.
* math/math.h: Include <mathcalls.h> again to define `long double'
functions.
* math/math_private.h: Define data types, prototypes and access
macros for `long double'.
* stdlib/stdlib.h: Add prototypes for `strtoll' and `strtoull'.
[GCC2 && OPTIMIZE]: Define strto{,u}ll as inline function which
calls __strto{,u}q_internal.
* stdlib/strfmon.c: Replace PTR by `void *'.
* stdlib/strtoq.c: Define strtoll as weak alias.
* stdlib/strtouq.c: Define strtoull as weak alias.
* string/tester.c: Correct `strsep' test.
* sysdeps/generic/strsep.c: Make compatible with BSD version.
Trailing characters of skip set are not skipped. In this case
empty tokens are returned.
* sysdeps/i386/isinfl.c, sysdeps/i386/isnanl.c,
sysdeps/ieee754/isinf.c, sysdeps/ieee754/isinfl.c,
sysdeps/ieee754/isnan.c, sysdeps/ieee754/isnanl.c: Removed. We
now use the versions part of libm.
* sysdeps/i386/strsep.S: Removed. Generic C version is of
similar speed.
* sysdeps/i386/strtok.S: Remove support for `strsep'.
* sysdeps/libm-i387/e_acosl.S, sysdeps/libm-i387/s_ceill.S,
sysdeps/libm-i387/s_copysignl.S, sysdeps/libm-i387/s_finitel.S,
sysdeps/libm-i387/s_floorl.S, sysdeps/libm-i387/s_isinfl.c,
sysdeps/libm-i387/s_isnanl.c, sysdeps/libm-i387/s_nextafterl.c,
sysdeps/libm-i387/s_rintl.S, sysdeps/libm-i387/s_significandl.S:
New i387 specific math functions implementing `long double'
versions.
* sysdeps/libm-ieee754/s_ceill.c,
sysdeps/libm-ieee754/s_copysignl.c,
sysdeps/libm-ieee754/s_fabsl.c, sysdeps/libm-ieee754/s_finitel.c,
sysdeps/libm-ieee754/s_floorl.c, sysdeps/libm-ieee754/s_isinfl.c,
sysdeps/libm-ieee754/s_isnanl.c,
sysdeps/libm-ieee754/s_nextafterl.c,
sysdeps/libm-ieee754/s_rintl.c, sysdeps/libm-ieee754/s_scalbnl.c,
sysdeps/libm-ieee754/s_significandl.c: New generic `long double'
versions of libm functions.
* sysdeps/libm-i387/e_exp.S: Add a few comments to explain the
Intel FPU nonsense.
* sysdeps/libm-i387/s_ceil.S, sysdeps/libm-i387/s_ceilf.S,
sysdeps/libm-i387/s_floor.S, sysdeps/libm-i387/s_floorf.S: Correct
handling of local variables. The old version created a stack
frame but stored the values outside.
* sysdeps/libm-ieee754/s_isinf.c, sysdeps/libm-ieee754/s_isnan.c
[!NO_LONG_DOUBLE]: Define alias with `long double' versions name.
* login/pututline_r.c: Include sys/stat.h. Fix typos.
according to currently used locale for category LC_CTYPE by
inet_nsap_ntoa. Now in <arpa/inet.h>.
_IO_dup2 to contain complete parameter list.
1996-05-30 16:12:42 +00:00
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2017-03-28 12:48:42 +00:00
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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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1996-03-05 21:41:30 +00:00
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2017-05-04 20:00:33 +00:00
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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
|
|
|
|
|
fabsf128 (_Float128 x)
|
|
|
|
|
{
|
|
|
|
|
return __builtin_fabsf128 (x);
|
|
|
|
|
}
|
|
|
|
|
#endif
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2001-05-12 20:15:01 +00:00
|
|
|
/* Prototypes for functions of the IBM Accurate Mathematical Library. */
|
2018-02-12 10:42:42 +00:00
|
|
|
extern double __exp1 (double __x, double __xx);
|
2001-05-12 20:15:01 +00:00
|
|
|
extern double __sin (double __x);
|
|
|
|
|
extern double __cos (double __x);
|
|
|
|
|
extern int __branred (double __x, double *__a, double *__aa);
|
|
|
|
|
extern void __doasin (double __x, double __dx, double __v[]);
|
|
|
|
|
extern void __dubsin (double __x, double __dx, double __v[]);
|
|
|
|
|
extern void __dubcos (double __x, double __dx, double __v[]);
|
|
|
|
|
extern double __sin32 (double __x, double __res, double __res1);
|
|
|
|
|
extern double __cos32 (double __x, double __res, double __res1);
|
2013-10-08 06:20:17 +00:00
|
|
|
extern double __mpsin (double __x, double __dx, bool __range_reduce);
|
|
|
|
|
extern double __mpcos (double __x, double __dx, bool __range_reduce);
|
2001-05-12 20:15:01 +00:00
|
|
|
extern void __docos (double __x, double __dx, double __v[]);
|
|
|
|
|
|
2011-10-18 13:00:46 +00:00
|
|
|
/* The standards only specify one variant of the fenv.h interfaces.
|
|
|
|
|
But at least for some architectures we can be more efficient if we
|
|
|
|
|
know what operations are going to be performed. Therefore we
|
|
|
|
|
define additional interfaces. By default they refer to the normal
|
|
|
|
|
interfaces. */
|
|
|
|
|
|
2012-03-09 20:51:27 +00:00
|
|
|
static __always_inline void
|
|
|
|
|
default_libc_feholdexcept (fenv_t *e)
|
|
|
|
|
{
|
2015-01-05 23:06:14 +00:00
|
|
|
(void) __feholdexcept (e);
|
2012-03-09 20:51:27 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#ifndef libc_feholdexcept
|
|
|
|
|
# define libc_feholdexcept default_libc_feholdexcept
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_feholdexceptf
|
|
|
|
|
# define libc_feholdexceptf default_libc_feholdexcept
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_feholdexceptl
|
|
|
|
|
# define libc_feholdexceptl default_libc_feholdexcept
|
|
|
|
|
#endif
|
|
|
|
|
|
2012-11-03 19:48:53 +00:00
|
|
|
static __always_inline void
|
|
|
|
|
default_libc_fesetround (int r)
|
|
|
|
|
{
|
2015-01-07 00:41:23 +00:00
|
|
|
(void) __fesetround (r);
|
2012-11-03 19:48:53 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#ifndef libc_fesetround
|
|
|
|
|
# define libc_fesetround default_libc_fesetround
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_fesetroundf
|
|
|
|
|
# define libc_fesetroundf default_libc_fesetround
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_fesetroundl
|
|
|
|
|
# define libc_fesetroundl default_libc_fesetround
|
|
|
|
|
#endif
|
|
|
|
|
|
2012-03-09 20:51:27 +00:00
|
|
|
static __always_inline void
|
|
|
|
|
default_libc_feholdexcept_setround (fenv_t *e, int r)
|
|
|
|
|
{
|
2015-01-05 23:06:14 +00:00
|
|
|
__feholdexcept (e);
|
2015-01-07 00:41:23 +00:00
|
|
|
__fesetround (r);
|
2012-03-09 20:51:27 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#ifndef libc_feholdexcept_setround
|
|
|
|
|
# define libc_feholdexcept_setround default_libc_feholdexcept_setround
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_feholdexcept_setroundf
|
|
|
|
|
# define libc_feholdexcept_setroundf default_libc_feholdexcept_setround
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_feholdexcept_setroundl
|
|
|
|
|
# define libc_feholdexcept_setroundl default_libc_feholdexcept_setround
|
|
|
|
|
#endif
|
|
|
|
|
|
2013-06-05 08:26:19 +00:00
|
|
|
#ifndef libc_feholdsetround_53bit
|
|
|
|
|
# define libc_feholdsetround_53bit libc_feholdsetround
|
2012-03-09 20:51:27 +00:00
|
|
|
#endif
|
2011-10-18 13:59:04 +00:00
|
|
|
|
2012-03-09 20:51:27 +00:00
|
|
|
#ifndef libc_fetestexcept
|
|
|
|
|
# define libc_fetestexcept fetestexcept
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_fetestexceptf
|
|
|
|
|
# define libc_fetestexceptf fetestexcept
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_fetestexceptl
|
|
|
|
|
# define libc_fetestexceptl fetestexcept
|
|
|
|
|
#endif
|
2012-03-14 16:20:10 +00:00
|
|
|
|
2012-03-09 20:51:27 +00:00
|
|
|
static __always_inline void
|
|
|
|
|
default_libc_fesetenv (fenv_t *e)
|
|
|
|
|
{
|
2015-01-06 23:36:20 +00:00
|
|
|
(void) __fesetenv (e);
|
2012-03-09 20:51:27 +00:00
|
|
|
}
|
2011-10-18 19:11:31 +00:00
|
|
|
|
2012-03-09 20:51:27 +00:00
|
|
|
#ifndef libc_fesetenv
|
|
|
|
|
# define libc_fesetenv default_libc_fesetenv
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_fesetenvf
|
|
|
|
|
# define libc_fesetenvf default_libc_fesetenv
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_fesetenvl
|
|
|
|
|
# define libc_fesetenvl default_libc_fesetenv
|
|
|
|
|
#endif
|
2011-10-18 13:00:46 +00:00
|
|
|
|
2012-03-09 20:51:27 +00:00
|
|
|
static __always_inline void
|
|
|
|
|
default_libc_feupdateenv (fenv_t *e)
|
|
|
|
|
{
|
2015-01-07 19:01:20 +00:00
|
|
|
(void) __feupdateenv (e);
|
2012-03-09 20:51:27 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#ifndef libc_feupdateenv
|
|
|
|
|
# define libc_feupdateenv default_libc_feupdateenv
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_feupdateenvf
|
|
|
|
|
# define libc_feupdateenvf default_libc_feupdateenv
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_feupdateenvl
|
|
|
|
|
# define libc_feupdateenvl default_libc_feupdateenv
|
|
|
|
|
#endif
|
2011-10-18 19:11:31 +00:00
|
|
|
|
2013-06-05 08:26:19 +00:00
|
|
|
#ifndef libc_feresetround_53bit
|
|
|
|
|
# define libc_feresetround_53bit libc_feresetround
|
2012-03-09 20:51:27 +00:00
|
|
|
#endif
|
2012-03-14 16:20:10 +00:00
|
|
|
|
2012-03-10 16:53:05 +00:00
|
|
|
static __always_inline int
|
|
|
|
|
default_libc_feupdateenv_test (fenv_t *e, int ex)
|
|
|
|
|
{
|
|
|
|
|
int ret = fetestexcept (ex);
|
2015-01-07 19:01:20 +00:00
|
|
|
__feupdateenv (e);
|
2012-03-10 16:53:05 +00:00
|
|
|
return ret;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#ifndef libc_feupdateenv_test
|
|
|
|
|
# define libc_feupdateenv_test default_libc_feupdateenv_test
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_feupdateenv_testf
|
|
|
|
|
# define libc_feupdateenv_testf default_libc_feupdateenv_test
|
|
|
|
|
#endif
|
|
|
|
|
#ifndef libc_feupdateenv_testl
|
|
|
|
|
# define libc_feupdateenv_testl default_libc_feupdateenv_test
|
|
|
|
|
#endif
|
|
|
|
|
|
2012-03-10 16:55:53 +00:00
|
|
|
/* 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
|
|
|
|
|
|
Make default libc_feholdsetround_noex_ctx use __feholdexcept (bug 22702).
For soft-float powerpc, the math/test-nearbyint-except-2 test fails
because nearbyintl traps when traps on "inexact" are enabled on entry
(and an "inexact" exception is generated internally, though cleared
for the final return).
The problem is the default implementation of
libc_feholdsetround_noex_ctx, which does not disable exception traps.
There is some ambiguity about whether the *noex* interfaces are
required to do so or only permitted to do so. But given that we
support fe* interfaces to enable and disable traps (on architectures
with that functionality), functions that must not raise an exception
(must not leave the flag set on exit if not set on entry) should also
not trap on it when traps on that exception are enabled. So it is
appropriate to define these interfaces to have the feholdexcept effect
of disabling exception traps; this patch updates the default
implementation and comments accordingly.
At least some architecture versions already disable traps; there are
few uses of the *noex* interfaces at all, and while it's possible
there are bugs on any architecture versions failing to disable traps
that appear in the exp2 and remainder implementations, there are
currently no tests, other than this one for nearbyintl (where only the
ldbl-128ibm implementation uses SET_RESTORE_ROUND_NOEX), that would
fail as a result of such a bug. (Hard-float powerpc does disable
traps here, hence the nearbyintl failure not appearing there.)
Tested for powerpc (soft-float). This brings that configuration to
clean math/ test results, provided you build with GCC 8 to get the fix
for GCC bug 64811.
[BZ #22702]
* sysdeps/generic/math_private.h (libc_feresetround_noex): Update
comment to say exceptions are discarded.
(libc_feholdsetround_noex_ctx): Use __feholdexcept instead of
__fegetenv.
(SET_RESTORE_ROUND_NOEX): Update comment to say non-stop mode must
be enabled.
2018-01-11 18:18:46 +00:00
|
|
|
/* ... and a version that also discards exceptions. */
|
2012-03-10 16:55:53 +00:00
|
|
|
|
|
|
|
|
#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
|
|
|
|
|
|
2014-06-23 16:15:41 +00:00
|
|
|
#ifndef HAVE_RM_CTX
|
|
|
|
|
# define HAVE_RM_CTX 0
|
|
|
|
|
#endif
|
|
|
|
|
|
Set/restore rounding mode only when needed
The most common use case of math functions is with default rounding
mode, i.e. rounding to nearest. Setting and restoring rounding mode
is an unnecessary overhead for this, so I've added support for a
context, which does the set/restore only if the FP status needs a
change. The code is written such that only x86 uses these. Other
architectures should be unaffected by it, but would definitely benefit
if the set/restore has as much overhead relative to the rest of the
code, as the x86 bits do.
Here's a summary of the performance improvement due to these
improvements; I've only mentioned functions that use the set/restore
and have benchmark inputs for x86_64:
Before:
cos(): ITERS:4.69335e+08: TOTAL:28884.6Mcy, MAX:4080.28cy, MIN:57.562cy, 16248.6 calls/Mcy
exp(): ITERS:4.47604e+08: TOTAL:28796.2Mcy, MAX:207.721cy, MIN:62.385cy, 15543.9 calls/Mcy
pow(): ITERS:1.63485e+08: TOTAL:28879.9Mcy, MAX:362.255cy, MIN:172.469cy, 5660.86 calls/Mcy
sin(): ITERS:3.89578e+08: TOTAL:28900Mcy, MAX:704.859cy, MIN:47.583cy, 13480.2 calls/Mcy
tan(): ITERS:7.0971e+07: TOTAL:28902.2Mcy, MAX:1357.79cy, MIN:388.58cy, 2455.55 calls/Mcy
After:
cos(): ITERS:6.0014e+08: TOTAL:28875.9Mcy, MAX:364.283cy, MIN:45.716cy, 20783.4 calls/Mcy
exp(): ITERS:5.48578e+08: TOTAL:28764.9Mcy, MAX:191.617cy, MIN:51.011cy, 19071.1 calls/Mcy
pow(): ITERS:1.70013e+08: TOTAL:28873.6Mcy, MAX:689.522cy, MIN:163.989cy, 5888.18 calls/Mcy
sin(): ITERS:4.64079e+08: TOTAL:28891.5Mcy, MAX:6959.3cy, MIN:36.189cy, 16062.8 calls/Mcy
tan(): ITERS:7.2354e+07: TOTAL:28898.9Mcy, MAX:1295.57cy, MIN:380.698cy, 2503.7 calls/Mcy
So the improvements are:
cos: 27.9089%
exp: 22.6919%
pow: 4.01564%
sin: 19.1585%
tan: 1.96086%
The downside of the change is that it will have an adverse performance
impact on non-default rounding modes, but I think the tradeoff is
justified.
2013-06-12 05:06:48 +00:00
|
|
|
|
2014-06-23 16:15:41 +00:00
|
|
|
/* 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. */
|
Set/restore rounding mode only when needed
The most common use case of math functions is with default rounding
mode, i.e. rounding to nearest. Setting and restoring rounding mode
is an unnecessary overhead for this, so I've added support for a
context, which does the set/restore only if the FP status needs a
change. The code is written such that only x86 uses these. Other
architectures should be unaffected by it, but would definitely benefit
if the set/restore has as much overhead relative to the rest of the
code, as the x86 bits do.
Here's a summary of the performance improvement due to these
improvements; I've only mentioned functions that use the set/restore
and have benchmark inputs for x86_64:
Before:
cos(): ITERS:4.69335e+08: TOTAL:28884.6Mcy, MAX:4080.28cy, MIN:57.562cy, 16248.6 calls/Mcy
exp(): ITERS:4.47604e+08: TOTAL:28796.2Mcy, MAX:207.721cy, MIN:62.385cy, 15543.9 calls/Mcy
pow(): ITERS:1.63485e+08: TOTAL:28879.9Mcy, MAX:362.255cy, MIN:172.469cy, 5660.86 calls/Mcy
sin(): ITERS:3.89578e+08: TOTAL:28900Mcy, MAX:704.859cy, MIN:47.583cy, 13480.2 calls/Mcy
tan(): ITERS:7.0971e+07: TOTAL:28902.2Mcy, MAX:1357.79cy, MIN:388.58cy, 2455.55 calls/Mcy
After:
cos(): ITERS:6.0014e+08: TOTAL:28875.9Mcy, MAX:364.283cy, MIN:45.716cy, 20783.4 calls/Mcy
exp(): ITERS:5.48578e+08: TOTAL:28764.9Mcy, MAX:191.617cy, MIN:51.011cy, 19071.1 calls/Mcy
pow(): ITERS:1.70013e+08: TOTAL:28873.6Mcy, MAX:689.522cy, MIN:163.989cy, 5888.18 calls/Mcy
sin(): ITERS:4.64079e+08: TOTAL:28891.5Mcy, MAX:6959.3cy, MIN:36.189cy, 16062.8 calls/Mcy
tan(): ITERS:7.2354e+07: TOTAL:28898.9Mcy, MAX:1295.57cy, MIN:380.698cy, 2503.7 calls/Mcy
So the improvements are:
cos: 27.9089%
exp: 22.6919%
pow: 4.01564%
sin: 19.1585%
tan: 1.96086%
The downside of the change is that it will have an adverse performance
impact on non-default rounding modes, but I think the tradeoff is
justified.
2013-06-12 05:06:48 +00:00
|
|
|
|
2014-06-23 16:15:41 +00:00
|
|
|
static __always_inline void
|
2018-06-21 06:04:29 +00:00
|
|
|
default_libc_feholdsetround_ctx (struct rm_ctx *ctx, int round)
|
2014-06-23 16:15:41 +00:00
|
|
|
{
|
|
|
|
|
ctx->updated_status = false;
|
|
|
|
|
|
|
|
|
|
/* Update rounding mode only if different. */
|
|
|
|
|
if (__glibc_unlikely (round != get_rounding_mode ()))
|
|
|
|
|
{
|
|
|
|
|
ctx->updated_status = true;
|
2014-12-31 22:07:52 +00:00
|
|
|
__fegetenv (&ctx->env);
|
2015-01-07 00:41:23 +00:00
|
|
|
__fesetround (round);
|
2014-06-23 16:15:41 +00:00
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
static __always_inline void
|
2018-06-21 06:04:29 +00:00
|
|
|
default_libc_feresetround_ctx (struct rm_ctx *ctx)
|
2014-06-23 16:15:41 +00:00
|
|
|
{
|
|
|
|
|
/* Restore the rounding mode if updated. */
|
|
|
|
|
if (__glibc_unlikely (ctx->updated_status))
|
2015-01-07 19:01:20 +00:00
|
|
|
__feupdateenv (&ctx->env);
|
2014-06-23 16:15:41 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
static __always_inline void
|
2018-06-21 06:04:29 +00:00
|
|
|
default_libc_feholdsetround_noex_ctx (struct rm_ctx *ctx, int round)
|
2014-06-23 16:15:41 +00:00
|
|
|
{
|
Make default libc_feholdsetround_noex_ctx use __feholdexcept (bug 22702).
For soft-float powerpc, the math/test-nearbyint-except-2 test fails
because nearbyintl traps when traps on "inexact" are enabled on entry
(and an "inexact" exception is generated internally, though cleared
for the final return).
The problem is the default implementation of
libc_feholdsetround_noex_ctx, which does not disable exception traps.
There is some ambiguity about whether the *noex* interfaces are
required to do so or only permitted to do so. But given that we
support fe* interfaces to enable and disable traps (on architectures
with that functionality), functions that must not raise an exception
(must not leave the flag set on exit if not set on entry) should also
not trap on it when traps on that exception are enabled. So it is
appropriate to define these interfaces to have the feholdexcept effect
of disabling exception traps; this patch updates the default
implementation and comments accordingly.
At least some architecture versions already disable traps; there are
few uses of the *noex* interfaces at all, and while it's possible
there are bugs on any architecture versions failing to disable traps
that appear in the exp2 and remainder implementations, there are
currently no tests, other than this one for nearbyintl (where only the
ldbl-128ibm implementation uses SET_RESTORE_ROUND_NOEX), that would
fail as a result of such a bug. (Hard-float powerpc does disable
traps here, hence the nearbyintl failure not appearing there.)
Tested for powerpc (soft-float). This brings that configuration to
clean math/ test results, provided you build with GCC 8 to get the fix
for GCC bug 64811.
[BZ #22702]
* sysdeps/generic/math_private.h (libc_feresetround_noex): Update
comment to say exceptions are discarded.
(libc_feholdsetround_noex_ctx): Use __feholdexcept instead of
__fegetenv.
(SET_RESTORE_ROUND_NOEX): Update comment to say non-stop mode must
be enabled.
2018-01-11 18:18:46 +00:00
|
|
|
/* Save exception flags and rounding mode, and disable exception
|
|
|
|
|
traps. */
|
|
|
|
|
__feholdexcept (&ctx->env);
|
2014-06-23 16:15:41 +00:00
|
|
|
|
|
|
|
|
/* Update rounding mode only if different. */
|
|
|
|
|
if (__glibc_unlikely (round != get_rounding_mode ()))
|
2015-01-07 00:41:23 +00:00
|
|
|
__fesetround (round);
|
2014-06-23 16:15:41 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
|
|
static __always_inline void
|
2018-06-21 06:04:29 +00:00
|
|
|
default_libc_feresetround_noex_ctx (struct rm_ctx *ctx)
|
2014-06-23 16:15:41 +00:00
|
|
|
{
|
|
|
|
|
/* Restore exception flags and rounding mode. */
|
2015-01-06 23:36:20 +00:00
|
|
|
__fesetenv (&ctx->env);
|
2014-06-23 16:15:41 +00:00
|
|
|
}
|
|
|
|
|
|
2018-06-21 06:04:29 +00:00
|
|
|
#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
|
|
|
|
|
|
|
|
|
|
# define libc_feholdsetround_ctx default_libc_feholdsetround_ctx
|
|
|
|
|
# define libc_feresetround_ctx default_libc_feresetround_ctx
|
|
|
|
|
# define libc_feholdsetround_noex_ctx default_libc_feholdsetround_noex_ctx
|
|
|
|
|
# define libc_feresetround_noex_ctx default_libc_feresetround_noex_ctx
|
|
|
|
|
|
2014-06-23 16:15:41 +00:00
|
|
|
# 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
|
Set/restore rounding mode only when needed
The most common use case of math functions is with default rounding
mode, i.e. rounding to nearest. Setting and restoring rounding mode
is an unnecessary overhead for this, so I've added support for a
context, which does the set/restore only if the FP status needs a
change. The code is written such that only x86 uses these. Other
architectures should be unaffected by it, but would definitely benefit
if the set/restore has as much overhead relative to the rest of the
code, as the x86 bits do.
Here's a summary of the performance improvement due to these
improvements; I've only mentioned functions that use the set/restore
and have benchmark inputs for x86_64:
Before:
cos(): ITERS:4.69335e+08: TOTAL:28884.6Mcy, MAX:4080.28cy, MIN:57.562cy, 16248.6 calls/Mcy
exp(): ITERS:4.47604e+08: TOTAL:28796.2Mcy, MAX:207.721cy, MIN:62.385cy, 15543.9 calls/Mcy
pow(): ITERS:1.63485e+08: TOTAL:28879.9Mcy, MAX:362.255cy, MIN:172.469cy, 5660.86 calls/Mcy
sin(): ITERS:3.89578e+08: TOTAL:28900Mcy, MAX:704.859cy, MIN:47.583cy, 13480.2 calls/Mcy
tan(): ITERS:7.0971e+07: TOTAL:28902.2Mcy, MAX:1357.79cy, MIN:388.58cy, 2455.55 calls/Mcy
After:
cos(): ITERS:6.0014e+08: TOTAL:28875.9Mcy, MAX:364.283cy, MIN:45.716cy, 20783.4 calls/Mcy
exp(): ITERS:5.48578e+08: TOTAL:28764.9Mcy, MAX:191.617cy, MIN:51.011cy, 19071.1 calls/Mcy
pow(): ITERS:1.70013e+08: TOTAL:28873.6Mcy, MAX:689.522cy, MIN:163.989cy, 5888.18 calls/Mcy
sin(): ITERS:4.64079e+08: TOTAL:28891.5Mcy, MAX:6959.3cy, MIN:36.189cy, 16062.8 calls/Mcy
tan(): ITERS:7.2354e+07: TOTAL:28898.9Mcy, MAX:1295.57cy, MIN:380.698cy, 2503.7 calls/Mcy
So the improvements are:
cos: 27.9089%
exp: 22.6919%
pow: 4.01564%
sin: 19.1585%
tan: 1.96086%
The downside of the change is that it will have an adverse performance
impact on non-default rounding modes, but I think the tradeoff is
justified.
2013-06-12 05:06:48 +00:00
|
|
|
#endif
|
|
|
|
|
|
2014-06-23 16:15:41 +00:00
|
|
|
#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. */
|
2012-03-10 16:55:53 +00:00
|
|
|
|
|
|
|
|
#define SET_RESTORE_ROUND(RM) \
|
Set/restore rounding mode only when needed
The most common use case of math functions is with default rounding
mode, i.e. rounding to nearest. Setting and restoring rounding mode
is an unnecessary overhead for this, so I've added support for a
context, which does the set/restore only if the FP status needs a
change. The code is written such that only x86 uses these. Other
architectures should be unaffected by it, but would definitely benefit
if the set/restore has as much overhead relative to the rest of the
code, as the x86 bits do.
Here's a summary of the performance improvement due to these
improvements; I've only mentioned functions that use the set/restore
and have benchmark inputs for x86_64:
Before:
cos(): ITERS:4.69335e+08: TOTAL:28884.6Mcy, MAX:4080.28cy, MIN:57.562cy, 16248.6 calls/Mcy
exp(): ITERS:4.47604e+08: TOTAL:28796.2Mcy, MAX:207.721cy, MIN:62.385cy, 15543.9 calls/Mcy
pow(): ITERS:1.63485e+08: TOTAL:28879.9Mcy, MAX:362.255cy, MIN:172.469cy, 5660.86 calls/Mcy
sin(): ITERS:3.89578e+08: TOTAL:28900Mcy, MAX:704.859cy, MIN:47.583cy, 13480.2 calls/Mcy
tan(): ITERS:7.0971e+07: TOTAL:28902.2Mcy, MAX:1357.79cy, MIN:388.58cy, 2455.55 calls/Mcy
After:
cos(): ITERS:6.0014e+08: TOTAL:28875.9Mcy, MAX:364.283cy, MIN:45.716cy, 20783.4 calls/Mcy
exp(): ITERS:5.48578e+08: TOTAL:28764.9Mcy, MAX:191.617cy, MIN:51.011cy, 19071.1 calls/Mcy
pow(): ITERS:1.70013e+08: TOTAL:28873.6Mcy, MAX:689.522cy, MIN:163.989cy, 5888.18 calls/Mcy
sin(): ITERS:4.64079e+08: TOTAL:28891.5Mcy, MAX:6959.3cy, MIN:36.189cy, 16062.8 calls/Mcy
tan(): ITERS:7.2354e+07: TOTAL:28898.9Mcy, MAX:1295.57cy, MIN:380.698cy, 2503.7 calls/Mcy
So the improvements are:
cos: 27.9089%
exp: 22.6919%
pow: 4.01564%
sin: 19.1585%
tan: 1.96086%
The downside of the change is that it will have an adverse performance
impact on non-default rounding modes, but I think the tradeoff is
justified.
2013-06-12 05:06:48 +00:00
|
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround, libc_feresetround)
|
2012-03-10 16:55:53 +00:00
|
|
|
#define SET_RESTORE_ROUNDF(RM) \
|
Set/restore rounding mode only when needed
The most common use case of math functions is with default rounding
mode, i.e. rounding to nearest. Setting and restoring rounding mode
is an unnecessary overhead for this, so I've added support for a
context, which does the set/restore only if the FP status needs a
change. The code is written such that only x86 uses these. Other
architectures should be unaffected by it, but would definitely benefit
if the set/restore has as much overhead relative to the rest of the
code, as the x86 bits do.
Here's a summary of the performance improvement due to these
improvements; I've only mentioned functions that use the set/restore
and have benchmark inputs for x86_64:
Before:
cos(): ITERS:4.69335e+08: TOTAL:28884.6Mcy, MAX:4080.28cy, MIN:57.562cy, 16248.6 calls/Mcy
exp(): ITERS:4.47604e+08: TOTAL:28796.2Mcy, MAX:207.721cy, MIN:62.385cy, 15543.9 calls/Mcy
pow(): ITERS:1.63485e+08: TOTAL:28879.9Mcy, MAX:362.255cy, MIN:172.469cy, 5660.86 calls/Mcy
sin(): ITERS:3.89578e+08: TOTAL:28900Mcy, MAX:704.859cy, MIN:47.583cy, 13480.2 calls/Mcy
tan(): ITERS:7.0971e+07: TOTAL:28902.2Mcy, MAX:1357.79cy, MIN:388.58cy, 2455.55 calls/Mcy
After:
cos(): ITERS:6.0014e+08: TOTAL:28875.9Mcy, MAX:364.283cy, MIN:45.716cy, 20783.4 calls/Mcy
exp(): ITERS:5.48578e+08: TOTAL:28764.9Mcy, MAX:191.617cy, MIN:51.011cy, 19071.1 calls/Mcy
pow(): ITERS:1.70013e+08: TOTAL:28873.6Mcy, MAX:689.522cy, MIN:163.989cy, 5888.18 calls/Mcy
sin(): ITERS:4.64079e+08: TOTAL:28891.5Mcy, MAX:6959.3cy, MIN:36.189cy, 16062.8 calls/Mcy
tan(): ITERS:7.2354e+07: TOTAL:28898.9Mcy, MAX:1295.57cy, MIN:380.698cy, 2503.7 calls/Mcy
So the improvements are:
cos: 27.9089%
exp: 22.6919%
pow: 4.01564%
sin: 19.1585%
tan: 1.96086%
The downside of the change is that it will have an adverse performance
impact on non-default rounding modes, but I think the tradeoff is
justified.
2013-06-12 05:06:48 +00:00
|
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetroundf, libc_feresetroundf)
|
2012-03-10 16:55:53 +00:00
|
|
|
#define SET_RESTORE_ROUNDL(RM) \
|
Set/restore rounding mode only when needed
The most common use case of math functions is with default rounding
mode, i.e. rounding to nearest. Setting and restoring rounding mode
is an unnecessary overhead for this, so I've added support for a
context, which does the set/restore only if the FP status needs a
change. The code is written such that only x86 uses these. Other
architectures should be unaffected by it, but would definitely benefit
if the set/restore has as much overhead relative to the rest of the
code, as the x86 bits do.
Here's a summary of the performance improvement due to these
improvements; I've only mentioned functions that use the set/restore
and have benchmark inputs for x86_64:
Before:
cos(): ITERS:4.69335e+08: TOTAL:28884.6Mcy, MAX:4080.28cy, MIN:57.562cy, 16248.6 calls/Mcy
exp(): ITERS:4.47604e+08: TOTAL:28796.2Mcy, MAX:207.721cy, MIN:62.385cy, 15543.9 calls/Mcy
pow(): ITERS:1.63485e+08: TOTAL:28879.9Mcy, MAX:362.255cy, MIN:172.469cy, 5660.86 calls/Mcy
sin(): ITERS:3.89578e+08: TOTAL:28900Mcy, MAX:704.859cy, MIN:47.583cy, 13480.2 calls/Mcy
tan(): ITERS:7.0971e+07: TOTAL:28902.2Mcy, MAX:1357.79cy, MIN:388.58cy, 2455.55 calls/Mcy
After:
cos(): ITERS:6.0014e+08: TOTAL:28875.9Mcy, MAX:364.283cy, MIN:45.716cy, 20783.4 calls/Mcy
exp(): ITERS:5.48578e+08: TOTAL:28764.9Mcy, MAX:191.617cy, MIN:51.011cy, 19071.1 calls/Mcy
pow(): ITERS:1.70013e+08: TOTAL:28873.6Mcy, MAX:689.522cy, MIN:163.989cy, 5888.18 calls/Mcy
sin(): ITERS:4.64079e+08: TOTAL:28891.5Mcy, MAX:6959.3cy, MIN:36.189cy, 16062.8 calls/Mcy
tan(): ITERS:7.2354e+07: TOTAL:28898.9Mcy, MAX:1295.57cy, MIN:380.698cy, 2503.7 calls/Mcy
So the improvements are:
cos: 27.9089%
exp: 22.6919%
pow: 4.01564%
sin: 19.1585%
tan: 1.96086%
The downside of the change is that it will have an adverse performance
impact on non-default rounding modes, but I think the tradeoff is
justified.
2013-06-12 05:06:48 +00:00
|
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetroundl, libc_feresetroundl)
|
2012-03-10 16:55:53 +00:00
|
|
|
|
2014-06-23 16:15:41 +00:00
|
|
|
/* 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.
|
Make default libc_feholdsetround_noex_ctx use __feholdexcept (bug 22702).
For soft-float powerpc, the math/test-nearbyint-except-2 test fails
because nearbyintl traps when traps on "inexact" are enabled on entry
(and an "inexact" exception is generated internally, though cleared
for the final return).
The problem is the default implementation of
libc_feholdsetround_noex_ctx, which does not disable exception traps.
There is some ambiguity about whether the *noex* interfaces are
required to do so or only permitted to do so. But given that we
support fe* interfaces to enable and disable traps (on architectures
with that functionality), functions that must not raise an exception
(must not leave the flag set on exit if not set on entry) should also
not trap on it when traps on that exception are enabled. So it is
appropriate to define these interfaces to have the feholdexcept effect
of disabling exception traps; this patch updates the default
implementation and comments accordingly.
At least some architecture versions already disable traps; there are
few uses of the *noex* interfaces at all, and while it's possible
there are bugs on any architecture versions failing to disable traps
that appear in the exp2 and remainder implementations, there are
currently no tests, other than this one for nearbyintl (where only the
ldbl-128ibm implementation uses SET_RESTORE_ROUND_NOEX), that would
fail as a result of such a bug. (Hard-float powerpc does disable
traps here, hence the nearbyintl failure not appearing there.)
Tested for powerpc (soft-float). This brings that configuration to
clean math/ test results, provided you build with GCC 8 to get the fix
for GCC bug 64811.
[BZ #22702]
* sysdeps/generic/math_private.h (libc_feresetround_noex): Update
comment to say exceptions are discarded.
(libc_feholdsetround_noex_ctx): Use __feholdexcept instead of
__fegetenv.
(SET_RESTORE_ROUND_NOEX): Update comment to say non-stop mode must
be enabled.
2018-01-11 18:18:46 +00:00
|
|
|
Non-stop mode must be enabled inside the block. */
|
2012-03-10 16:55:53 +00:00
|
|
|
|
|
|
|
|
#define SET_RESTORE_ROUND_NOEX(RM) \
|
2014-06-23 16:15:41 +00:00
|
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround_noex, \
|
|
|
|
|
libc_feresetround_noex)
|
2012-03-10 16:55:53 +00:00
|
|
|
#define SET_RESTORE_ROUND_NOEXF(RM) \
|
2014-06-23 16:15:41 +00:00
|
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround_noexf, \
|
|
|
|
|
libc_feresetround_noexf)
|
2012-03-10 16:55:53 +00:00
|
|
|
#define SET_RESTORE_ROUND_NOEXL(RM) \
|
2014-06-23 16:15:41 +00:00
|
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround_noexl, \
|
|
|
|
|
libc_feresetround_noexl)
|
2012-03-10 16:55:53 +00:00
|
|
|
|
|
|
|
|
/* Like SET_RESTORE_ROUND, but also set rounding precision to 53 bits. */
|
|
|
|
|
#define SET_RESTORE_ROUND_53BIT(RM) \
|
Set/restore rounding mode only when needed
The most common use case of math functions is with default rounding
mode, i.e. rounding to nearest. Setting and restoring rounding mode
is an unnecessary overhead for this, so I've added support for a
context, which does the set/restore only if the FP status needs a
change. The code is written such that only x86 uses these. Other
architectures should be unaffected by it, but would definitely benefit
if the set/restore has as much overhead relative to the rest of the
code, as the x86 bits do.
Here's a summary of the performance improvement due to these
improvements; I've only mentioned functions that use the set/restore
and have benchmark inputs for x86_64:
Before:
cos(): ITERS:4.69335e+08: TOTAL:28884.6Mcy, MAX:4080.28cy, MIN:57.562cy, 16248.6 calls/Mcy
exp(): ITERS:4.47604e+08: TOTAL:28796.2Mcy, MAX:207.721cy, MIN:62.385cy, 15543.9 calls/Mcy
pow(): ITERS:1.63485e+08: TOTAL:28879.9Mcy, MAX:362.255cy, MIN:172.469cy, 5660.86 calls/Mcy
sin(): ITERS:3.89578e+08: TOTAL:28900Mcy, MAX:704.859cy, MIN:47.583cy, 13480.2 calls/Mcy
tan(): ITERS:7.0971e+07: TOTAL:28902.2Mcy, MAX:1357.79cy, MIN:388.58cy, 2455.55 calls/Mcy
After:
cos(): ITERS:6.0014e+08: TOTAL:28875.9Mcy, MAX:364.283cy, MIN:45.716cy, 20783.4 calls/Mcy
exp(): ITERS:5.48578e+08: TOTAL:28764.9Mcy, MAX:191.617cy, MIN:51.011cy, 19071.1 calls/Mcy
pow(): ITERS:1.70013e+08: TOTAL:28873.6Mcy, MAX:689.522cy, MIN:163.989cy, 5888.18 calls/Mcy
sin(): ITERS:4.64079e+08: TOTAL:28891.5Mcy, MAX:6959.3cy, MIN:36.189cy, 16062.8 calls/Mcy
tan(): ITERS:7.2354e+07: TOTAL:28898.9Mcy, MAX:1295.57cy, MIN:380.698cy, 2503.7 calls/Mcy
So the improvements are:
cos: 27.9089%
exp: 22.6919%
pow: 4.01564%
sin: 19.1585%
tan: 1.96086%
The downside of the change is that it will have an adverse performance
impact on non-default rounding modes, but I think the tradeoff is
justified.
2013-06-12 05:06:48 +00:00
|
|
|
SET_RESTORE_ROUND_GENERIC (RM, libc_feholdsetround_53bit, \
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libc_feresetround_53bit)
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2012-03-10 16:55:53 +00:00
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Move some fenv.h override macros to generic math_private.h.
Various configurations lacking support for floating-point exceptions
and rounding modes have a math_private.h that overrides certain
functions and macros, internal and external, to avoid references to
FE_* constants that are undefined in those configurations. For
example, there are unconditional feraiseexcept (FE_INVALID) calls in
generic libm code, and these macro definitions duly define
feraiseexcept to ignore its argument to avoid an error from FE_INVALID
being undefined.
In fact it is easy to tell in an architecture-independent way whether
this is needed, by testing whether FE_ALL_EXCEPT == 0. Thus, this
patch puts such a test, and feraiseexcept and __feraiseexcept macros,
in the generic math_private.h, so reducing the duplication between
architecture versions of this header. The feclearexcept macro present
in several versions of this header, and fetestexcept in the tile
version, are not needed; they would have been needed before there were
proper soft-fp fma implementations (when generic versions, that depend
on FE_TOWARDZERO and FE_INEXACT, were being used for configurations
not supporting those features), but aren't needed any more, and so are
removed.
The tile version of this header has several inline functions for
fenv.h functions to optimize calls to them away in such configurations
where they do nothing useful, and all these header versions also have
definitions of some of the libc_fe* internal macros. I intend to make
those generic in subsequent patches.
Tested with build-many-glibcs.py that installed stripped shared
libraries are unchanged by this patch.
* sysdeps/generic/math_private.h [FE_ALL_EXCEPT == 0]
(feraiseexcept): New macro.
[FE_ALL_EXCEPT == 0] (__feraiseexcept): Likewise.
* sysdeps/m68k/coldfire/nofpu/math_private.h (feraiseexcept):
Remove macro.
(__feraiseexcept): Likewise.
(feclearexcept): Likewise.
* sysdeps/microblaze/math_private.h (feraiseexcept): Likewise.
(__feraiseexcept): Likewise.
(feclearexcept): Likewise.
* sysdeps/nios2/math_private.h (feraiseexcept): Likewise.
(__feraiseexcept): Likewise.
(feclearexcept): Likewise.
* sysdeps/tile/math_private.h (feraiseexcept): Likewise.
(__feraiseexcept): Likewise.
(feclearexcept): Likewise.
(fetestexcept): Likewise.
2018-02-01 20:52:59 +00:00
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/* When no floating-point exceptions are defined in <fenv.h>, make
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feraiseexcept ignore its argument so that unconditional
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feraiseexcept calls do not cause errors for undefined exceptions.
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Define it to expand to a void expression so that any calls testing
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the result of feraiseexcept do produce errors. */
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#if FE_ALL_EXCEPT == 0
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# define feraiseexcept(excepts) ((void) 0)
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# define __feraiseexcept(excepts) ((void) 0)
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#endif
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Move fenv.h override inline functions to generic math_private.h.
The tile version of math_private.h defines some inline functions for
fenv.h functions, to optimize away internal calls to these functions
that do nothing given no support for floating-point exceptions and
rounding modes. (Some functions may have error cases for invalid
arguments, but those aren't applicable to the internal calls from
within glibc.) Other configurations lacking support for exceptions
and rounding modes lack such inline functions. This patch moves them
to the generic math_private.h, appropriately conditioned, so that all
such configurations can benefit from the.
include/fenv.h is made to check whether there are any non-default
rounding modes; that needs to be done there, rather than later,
because get-rounding-mode.h defines values for otherwise unsupported
FE_* rounding modes. It also gives an error for FE_TONEAREST
undefined, a case that already did not work for building the glibc
testsuite; the convention has by now been established that all
architectures need to provide a version of bits/fenv.h that at least
defines FE_TONEAREST.
Tested with build-many-glibcs.py. As expected, installed stripped
shared libraries are unchanged for tile and for architectures
supporting exceptions and rounding modes, but changed for non-tile
architectures not supporting exceptions and rounding modes that
previously lacked this optimization (e.g. Nios II libm.so is about 1kB
smaller).
The optimization is not in fact complete (does not cover feholdexcept
/ __feholdexcept, so a few calls to those remain unnecessarily within
libm even after this patch), but that can be dealt with separately.
* include/fenv.h [!_ISOMAC && !FE_TONEAREST]: Give #error.
[!_ISOMAC] (FE_HAVE_ROUNDING_MODES): New macro.
* sysdeps/generic/math_private.h
[!FE_HAVE_ROUNDING_MODES && FE_ALL_EXCEPT == 0] (fegetenv): New
inline function.
[!FE_HAVE_ROUNDING_MODES && FE_ALL_EXCEPT == 0] (__fegetenv):
Likewise.
[!FE_HAVE_ROUNDING_MODES && FE_ALL_EXCEPT == 0] (fesetenv):
Likewise.
[!FE_HAVE_ROUNDING_MODES && FE_ALL_EXCEPT == 0] (__fesetenv):
Likewise.
[!FE_HAVE_ROUNDING_MODES && FE_ALL_EXCEPT == 0] (feupdateenv):
Likewise.
[!FE_HAVE_ROUNDING_MODES && FE_ALL_EXCEPT == 0] (__feupdateenv):
Likewise.
[!FE_HAVE_ROUNDING_MODES] (fegetround): Likewise.
[!FE_HAVE_ROUNDING_MODES] (__fegetround): Likewise.
[!FE_HAVE_ROUNDING_MODES] (fesetround): Likewise.
[!FE_HAVE_ROUNDING_MODES] (__fesetround): Likewise.
* sysdeps/tile/math_private.h (fegetenv): Remove inline function.
(__fegetenv): Likewise.
(fesetenv): Likewise.
(__fesetenv): Likewise.
(feupdateenv): Likewise.
(__feupdateenv): Likewise.
(fegetround): Likewise.
(__fegetround): Likewise.
(fesetround): Likewise.
(__fesetround): Likewise.
2018-02-01 20:54:44 +00:00
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/* Similarly, most <fenv.h> functions have trivial implementations in
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the absence of support for floating-point exceptions and rounding
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modes. */
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#if !FE_HAVE_ROUNDING_MODES
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# if FE_ALL_EXCEPT == 0
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extern inline int
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fegetenv (fenv_t *__e)
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{
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return 0;
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}
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extern inline int
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__fegetenv (fenv_t *__e)
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{
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return 0;
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}
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2018-02-01 20:56:08 +00:00
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extern inline int
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feholdexcept (fenv_t *__e)
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{
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return 0;
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}
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extern inline int
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__feholdexcept (fenv_t *__e)
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{
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return 0;
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}
|
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|
|
Move fenv.h override inline functions to generic math_private.h.
The tile version of math_private.h defines some inline functions for
fenv.h functions, to optimize away internal calls to these functions
that do nothing given no support for floating-point exceptions and
rounding modes. (Some functions may have error cases for invalid
arguments, but those aren't applicable to the internal calls from
within glibc.) Other configurations lacking support for exceptions
and rounding modes lack such inline functions. This patch moves them
to the generic math_private.h, appropriately conditioned, so that all
such configurations can benefit from the.
include/fenv.h is made to check whether there are any non-default
rounding modes; that needs to be done there, rather than later,
because get-rounding-mode.h defines values for otherwise unsupported
FE_* rounding modes. It also gives an error for FE_TONEAREST
undefined, a case that already did not work for building the glibc
testsuite; the convention has by now been established that all
architectures need to provide a version of bits/fenv.h that at least
defines FE_TONEAREST.
Tested with build-many-glibcs.py. As expected, installed stripped
shared libraries are unchanged for tile and for architectures
supporting exceptions and rounding modes, but changed for non-tile
architectures not supporting exceptions and rounding modes that
previously lacked this optimization (e.g. Nios II libm.so is about 1kB
smaller).
The optimization is not in fact complete (does not cover feholdexcept
/ __feholdexcept, so a few calls to those remain unnecessarily within
libm even after this patch), but that can be dealt with separately.
* include/fenv.h [!_ISOMAC && !FE_TONEAREST]: Give #error.
[!_ISOMAC] (FE_HAVE_ROUNDING_MODES): New macro.
* sysdeps/generic/math_private.h
[!FE_HAVE_ROUNDING_MODES && FE_ALL_EXCEPT == 0] (fegetenv): New
inline function.
[!FE_HAVE_ROUNDING_MODES && FE_ALL_EXCEPT == 0] (__fegetenv):
Likewise.
[!FE_HAVE_ROUNDING_MODES && FE_ALL_EXCEPT == 0] (fesetenv):
Likewise.
[!FE_HAVE_ROUNDING_MODES && FE_ALL_EXCEPT == 0] (__fesetenv):
Likewise.
[!FE_HAVE_ROUNDING_MODES && FE_ALL_EXCEPT == 0] (feupdateenv):
Likewise.
[!FE_HAVE_ROUNDING_MODES && FE_ALL_EXCEPT == 0] (__feupdateenv):
Likewise.
[!FE_HAVE_ROUNDING_MODES] (fegetround): Likewise.
[!FE_HAVE_ROUNDING_MODES] (__fegetround): Likewise.
[!FE_HAVE_ROUNDING_MODES] (fesetround): Likewise.
[!FE_HAVE_ROUNDING_MODES] (__fesetround): Likewise.
* sysdeps/tile/math_private.h (fegetenv): Remove inline function.
(__fegetenv): Likewise.
(fesetenv): Likewise.
(__fesetenv): Likewise.
(feupdateenv): Likewise.
(__feupdateenv): Likewise.
(fegetround): Likewise.
(__fegetround): Likewise.
(fesetround): Likewise.
(__fesetround): Likewise.
2018-02-01 20:54:44 +00:00
|
|
|
extern inline int
|
|
|
|
|
fesetenv (const fenv_t *__e)
|
|
|
|
|
{
|
|
|
|
|
return 0;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
extern inline int
|
|
|
|
|
__fesetenv (const fenv_t *__e)
|
|
|
|
|
{
|
|
|
|
|
return 0;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
extern inline int
|
|
|
|
|
feupdateenv (const fenv_t *__e)
|
|
|
|
|
{
|
|
|
|
|
return 0;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
extern inline int
|
|
|
|
|
__feupdateenv (const fenv_t *__e)
|
|
|
|
|
{
|
|
|
|
|
return 0;
|
|
|
|
|
}
|
|
|
|
|
# endif
|
|
|
|
|
|
|
|
|
|
extern inline int
|
|
|
|
|
fegetround (void)
|
|
|
|
|
{
|
|
|
|
|
return FE_TONEAREST;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
extern inline int
|
|
|
|
|
__fegetround (void)
|
|
|
|
|
{
|
|
|
|
|
return FE_TONEAREST;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
extern inline int
|
|
|
|
|
fesetround (int __d)
|
|
|
|
|
{
|
|
|
|
|
return 0;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
extern inline int
|
|
|
|
|
__fesetround (int __d)
|
|
|
|
|
{
|
|
|
|
|
return 0;
|
|
|
|
|
}
|
|
|
|
|
#endif
|
|
|
|
|
|
1996-03-05 21:41:30 +00:00
|
|
|
#endif /* _MATH_PRIVATE_H_ */
|
