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Optimize accurate 64-bit routines for FMA4 on x86-64

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This commit is contained in:
Ulrich Drepper 2011-10-24 20:19:17 -04:00
parent 58985aa92f
commit af968f62f2
48 changed files with 596 additions and 178 deletions
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57
ChangeLog
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@ -1,5 +1,62 @@
2011-10-24 Ulrich Drepper <drepper@gmail.com>
* config.make.in: Add have-mfma4 entry.
* configure.in: Substitute libc_cv_cc_fma4.
* math/Makefile (dbl-only-routines): Add sincostab.
* sysdeps/ieee754/dbl-64/dosincos.c: Don't include sincos.tbl.
Use __sincostab not sincos.
* sysdeps/ieee754/dbl-64/e_asin.c: Don't define aliases when function
name is a macro.
* sysdeps/ieee754/dbl-64/e_exp.c: Likewise.
* sysdeps/ieee754/dbl-64/e_log.c: Likewise.
* sysdeps/ieee754/dbl-64/e_pow.c: Likewise.
* sysdeps/ieee754/dbl-64/e_atan2.c: Likewise. Define singArctan2
using __copysign.
* sysdeps/ieee754/dbl-64/mpa.c: Don't export __acr. Don't define
__cr and __cpymn. Define __cpy unless NO___CPY is defined. Define
norm, denorm, and __mp_dbl unless NO___MP_DBL is defined.
* sysdeps/ieee754/dbl-64/mpa.h: Don't declare __acr, __cr, __cpymn,
and __inv.
* sysdeps/ieee754/dbl-64/mpsqrt.c: Make fastiroot static.
* sysdeps/ieee754/dbl-64/s_atan.c: Define __signArctan using
__copysign.
* sysdeps/ieee754/dbl-64/s_sin.c: Use __sincostab not sincos. Don't
define aliases when function name is a macro.
* sysdeps/ieee754/dbl-64/sincostab.c: Renamed from
sysdeps/ieee754/dbl-64/sincos.tbl.
* sysdeps/x86_64/fpu/multiarch/Makefile: Add entries to build
fma4-enabled routines.
* sysdeps/x86_64/fpu/multiarch/brandred-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/doasin-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/dosincos-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/e_asin-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/e_asin.c: New file.
* sysdeps/x86_64/fpu/multiarch/e_atan2-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/e_atan2.c: New file.
* sysdeps/x86_64/fpu/multiarch/e_exp-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/e_exp.c: New file.
* sysdeps/x86_64/fpu/multiarch/e_log-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/e_log.c: New file.
* sysdeps/x86_64/fpu/multiarch/e_pow-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/e_pow.c: New file.
* sysdeps/x86_64/fpu/multiarch/halfulp-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/mpa-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/mpatan-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/mpatan2-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/mpexp-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/mplog-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/mpsqrt-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/mptan-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/s_atan-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/s_atan.c: New file.
* sysdeps/x86_64/fpu/multiarch/s_sin-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/s_sin.c: New file.
* sysdeps/x86_64/fpu/multiarch/s_tan-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/s_tan.c: New file.
* sysdeps/x86_64/fpu/multiarch/sincos32-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/slowexp-fma4.c: New file.
* sysdeps/x86_64/fpu/multiarch/slowpow-fma4.c: New file.
* sysdeps/ieee754/dbl-64/doasin.c: Adjust for DLA_FMA -> DLA_FMS
rename.
* sysdeps/ieee754/dbl-64/dosincos.c: Likewise.

1
config.make.in
View File

@ -59,6 +59,7 @@ have-cpp-asm-debuginfo = @libc_cv_cpp_asm_debuginfo@
enable-check-abi = @enable_check_abi@
have-forced-unwind = @libc_cv_forced_unwind@
have-fpie = @libc_cv_fpie@
have-mfma4 = @libc_cv_cc_fma4@
gnu89-inline-CFLAGS = @gnu89_inline@
have-ssp = @libc_cv_ssp@
have-selinux = @have_selinux@

2
configure vendored
View File

@ -623,6 +623,7 @@ elf
ldd_rewrite_script
use_ldconfig
libc_cv_as_i686
libc_cv_cc_fma4
libc_cv_cc_novzeroupper
libc_cv_cc_avx
libc_cv_cc_sse4
@ -7944,6 +7945,7 @@ fi
if test $elf = yes; then
$as_echo "#define HAVE_ELF 1" >>confdefs.h

1
configure.in
View File

@ -2339,6 +2339,7 @@ AC_SUBST(libc_cv_cpp_asm_debuginfo)
AC_SUBST(libc_cv_cc_sse4)
AC_SUBST(libc_cv_cc_avx)
AC_SUBST(libc_cv_cc_novzeroupper)
AC_SUBST(libc_cv_cc_fma4)
AC_SUBST(libc_cv_as_i686)
AC_SUBST(use_ldconfig)

2
math/Makefile
View File

@ -66,7 +66,7 @@ include ../Makeconfig
dbl-only-routines := branred doasin dosincos halfulp mpa mpatan2 \
mpatan mpexp mplog mpsqrt mptan sincos32 slowexp \
slowpow
slowpow sincostab
libm-routines = $(strip $(libm-support) $(libm-calls) \
$(patsubst %_rf,%f_r,$(libm-calls:=f)) \
$(long-m-$(long-double-fcts))) \

23
sysdeps/ieee754/dbl-64/dosincos.c
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@ -35,11 +35,16 @@
#include "endian.h"
#include "mydefs.h"
#include "sincos.tbl"
#include <dla.h>
#include "dosincos.h"
#include "math_private.h"
extern const union
{
int4 i[880];
double x[440];
} __sincostab attribute_hidden;
/***********************************************************************/
/* Routine receive Double-Length number (x+dx) and computing sin(x+dx) */
/* as Double-Length number and store it at array v .It computes it by */
@ -66,10 +71,10 @@ void __dubsin(double x, double dx, double v[]) {
dd=(x-d)+dx;
/* sin(x+dx)=sin(Xi+t)=sin(Xi)*cos(t) + cos(Xi)sin(t) where t ->0 */
MUL2(d,dd,d,dd,d2,dd2,p,hx,tx,hy,ty,q,c,cc);
sn=sincos.x[k]; /* */
ssn=sincos.x[k+1]; /* sin(Xi) and cos(Xi) */
cs=sincos.x[k+2]; /* */
ccs=sincos.x[k+3]; /* */
sn=__sincostab.x[k]; /* */
ssn=__sincostab.x[k+1]; /* sin(Xi) and cos(Xi) */
cs=__sincostab.x[k+2]; /* */
ccs=__sincostab.x[k+3]; /* */
MUL2(d2,dd2,s7.x,ss7.x,ds,dss,p,hx,tx,hy,ty,q,c,cc); /* Taylor */
ADD2(ds,dss,s5.x,ss5.x,ds,dss,r,s);
MUL2(d2,dd2,ds,dss,ds,dss,p,hx,tx,hy,ty,q,c,cc); /* series */
@ -118,10 +123,10 @@ void __dubcos(double x, double dx, double v[]) {
d=x+dx;
dd=(x-d)+dx; /* cos(x+dx)=cos(Xi+t)=cos(Xi)cos(t) - sin(Xi)sin(t) */
MUL2(d,dd,d,dd,d2,dd2,p,hx,tx,hy,ty,q,c,cc);
sn=sincos.x[k]; /* */
ssn=sincos.x[k+1]; /* sin(Xi) and cos(Xi) */
cs=sincos.x[k+2]; /* */
ccs=sincos.x[k+3]; /* */
sn=__sincostab.x[k]; /* */
ssn=__sincostab.x[k+1]; /* sin(Xi) and cos(Xi) */
cs=__sincostab.x[k+2]; /* */
ccs=__sincostab.x[k+3]; /* */
MUL2(d2,dd2,s7.x,ss7.x,ds,dss,p,hx,tx,hy,ty,q,c,cc);
ADD2(ds,dss,s5.x,ss5.x,ds,dss,r,s);
MUL2(d2,dd2,ds,dss,ds,dss,p,hx,tx,hy,ty,q,c,cc);

4
sysdeps/ieee754/dbl-64/e_asin.c
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@ -324,7 +324,9 @@ double __ieee754_asin(double x){
return u.x/v.x; /* NaN */
}
}
#ifndef __ieee754_asin
strong_alias (__ieee754_asin, __asin_finite)
#endif
/*******************************************************************/
/* */
@ -636,4 +638,6 @@ double __ieee754_acos(double x)
return u.x/v.x;
}
}
#ifndef __ieee754_acos
strong_alias (__ieee754_acos, __acos_finite)
#endif

13
sysdeps/ieee754/dbl-64/e_atan2.c
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@ -51,7 +51,11 @@
/* round to nearest mode of IEEE 754 standard. */
/************************************************************************/
static double atan2Mp(double ,double ,const int[]);
static double signArctan2(double ,double);
/* Fix the sign and return after stage 1 or stage 2 */
static double signArctan2(double y,double z)
{
return __copysign(z, y);
}
static double normalized(double ,double,double ,double);
void __mpatan2(mp_no *,mp_no *,mp_no *,int);
@ -375,7 +379,9 @@ double __ieee754_atan2(double y,double x) {
}
}
}
#ifndef __ieee754_atan2
strong_alias (__ieee754_atan2, __atan2_finite)
#endif
/* Treat the Denormalized case */
static double normalized(double ax,double ay,double y, double z)
@ -386,11 +392,6 @@ static double normalized(double ax,double ay,double y, double z)
__dbl_mp(ue.d,&mpt1,p); __mul(&mpz,&mpt1,&mperr,p);
__sub(&mpz,&mperr,&mpz2,p); __mp_dbl(&mpz2,&z,p);
return signArctan2(y,z);
}
/* Fix the sign and return after stage 1 or stage 2 */
static double signArctan2(double y,double z)
{
return ((y<ZERO) ? -z : z);
}
/* Stage 3: Perform a multi-Precision computation */
static double atan2Mp(double x,double y,const int pr[])

2
sysdeps/ieee754/dbl-64/e_exp.c
View File

@ -145,7 +145,9 @@ double __ieee754_exp(double x) {
else return __slowexp(x);
}
}
#ifndef __ieee754_exp
strong_alias (__ieee754_exp, __exp_finite)
#endif
/************************************************************************/
/* Compute e^(x+xx)(Double-Length number) .The routine also receive */

2
sysdeps/ieee754/dbl-64/e_log.c
View File

@ -207,4 +207,6 @@ double __ieee754_log(double x) {
}
return y1;
}
#ifndef __ieee754_log
strong_alias (__ieee754_log, __log_finite)
#endif

2
sysdeps/ieee754/dbl-64/e_pow.c
View File

@ -153,7 +153,9 @@ double __ieee754_pow(double x, double y) {
if (y<0) return (x<1.0)?INF.x:0;
return 0; /* unreachable, to make the compiler happy */
}
#ifndef __ieee754_pow
strong_alias (__ieee754_pow, __pow_finite)
#endif
/**************************************************************************/
/* Computing x^y using more accurate but more slow log routine */

58
sysdeps/ieee754/dbl-64/mpa.c
View File

@ -1,8 +1,7 @@
/*
* IBM Accurate Mathematical Library
* written by International Business Machines Corp.
* Copyright (C) 2001 Free Software Foundation
* Copyright (C) 2001, 2011 Free Software Foundation
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
@ -64,7 +63,7 @@ static int mcr(const mp_no *x, const mp_no *y, int p) {
/* acr() compares the absolute values of two multiple precision numbers */
int __acr(const mp_no *x, const mp_no *y, int p) {
static int __acr(const mp_no *x, const mp_no *y, int p) {
int i;
if (X[0] == ZERO) {
@ -82,8 +81,9 @@ int __acr(const mp_no *x, const mp_no *y, int p) {
}
#if 0
/* cr90 compares the values of two multiple precision numbers */
int __cr(const mp_no *x, const mp_no *y, int p) {
static int __cr(const mp_no *x, const mp_no *y, int p) {
int i;
if (X[0] > Y[0]) i= 1;
@ -93,26 +93,26 @@ int __cr(const mp_no *x, const mp_no *y, int p) {
return i;
}
#endif
#ifndef NO___CPY
/* Copy a multiple precision number. Set *y=*x. x=y is permissible. */
void __cpy(const mp_no *x, mp_no *y, int p) {
int i;
EY = EX;
for (i=0; i <= p; i++) Y[i] = X[i];
return;
for (int i=0; i <= p; i++) Y[i] = X[i];
}
#endif
#if 0
/* Copy a multiple precision number x of precision m into a */
/* multiple precision number y of precision n. In case n>m, */
/* the digits of y beyond the m'th are set to zero. In case */
/* n<m, the digits of x beyond the n'th are ignored. */
/* x=y is permissible. */
void __cpymn(const mp_no *x, int m, mp_no *y, int n) {
static void __cpymn(const mp_no *x, int m, mp_no *y, int n) {
int i,k;
@ -122,7 +122,10 @@ void __cpymn(const mp_no *x, int m, mp_no *y, int n) {
return;
}
#endif
#ifndef NO___MP_DBL
/* Convert a multiple precision number *x into a double precision */
/* number *y, normalized case (|x| >= 2**(-1022))) */
static void norm(const mp_no *x, double *y, int p)
@ -141,7 +144,7 @@ static void norm(const mp_no *x, double *y, int p)
}
else {
for (a=ONE, z[1]=X[1]; z[1] < TWO23; )
{a *= TWO; z[1] *= TWO; }
{a *= TWO; z[1] *= TWO; }
for (i=2; i<5; i++) {
z[i] = X[i]*a;
@ -157,10 +160,10 @@ static void norm(const mp_no *x, double *y, int p)
if (v == TWO18) {
if (z[4] == ZERO) {
for (i=5; i <= p; i++) {
if (X[i] == ZERO) continue;
else {z[3] += ONE; break; }
}
for (i=5; i <= p; i++) {
if (X[i] == ZERO) continue;
else {z[3] += ONE; break; }
}
}
else z[3] += ONE;
}
@ -242,6 +245,7 @@ void __mp_dbl(const mp_no *x, double *y, int p) {
else if (EX==-42 && X[1]>=TWO10) norm(x,y,p);
else denorm(x,y,p);
}
#endif
/* dbl_mp() converts a double precision number x into a multiple precision */
@ -336,11 +340,11 @@ static void sub_magnitudes(const mp_no *x, const mp_no *y, mp_no *z, int p) {
else {
i=p; j=p+1-j; k=p;
if (Y[j] > ZERO) {
Z[k+1] = RADIX - Y[j--];
Z[k] = MONE; }
Z[k+1] = RADIX - Y[j--];
Z[k] = MONE; }
else {
Z[k+1] = ZERO;
Z[k] = ZERO; j--;}
Z[k+1] = ZERO;
Z[k] = ZERO; j--;}
}
}
@ -431,11 +435,11 @@ void __mul(const mp_no *x, const mp_no *y, mp_no *z, int p) {
int i, i1, i2, j, k, k2;
double u;
/* Is z=0? */
/* Is z=0? */
if (X[0]*Y[0]==ZERO)
{ Z[0]=ZERO; return; }
/* Multiply, add and carry */
/* Multiply, add and carry */
k2 = (p<3) ? p+p : p+3;
Z[k2]=ZERO;
for (k=k2; k>1; ) {
@ -449,7 +453,7 @@ void __mul(const mp_no *x, const mp_no *y, mp_no *z, int p) {
Z[--k] = u*RADIXI;
}
/* Is there a carry beyond the most significant digit? */
/* Is there a carry beyond the most significant digit? */
if (Z[1] == ZERO) {
for (i=1; i<=p; i++) Z[i]=Z[i+1];
EZ = EX + EY - 1; }
@ -466,7 +470,7 @@ void __mul(const mp_no *x, const mp_no *y, mp_no *z, int p) {
/* 2.001*r**(1-p) for p>3. */
/* *x=0 is not permissible. *x is left unchanged. */
void __inv(const mp_no *x, mp_no *y, int p) {
static void __inv(const mp_no *x, mp_no *y, int p) {
int i;
#if 0
int l;
@ -474,11 +478,11 @@ void __inv(const mp_no *x, mp_no *y, int p) {
double t;
mp_no z,w;
static const int np1[] = {0,0,0,0,1,2,2,2,2,3,3,3,3,3,3,3,3,3,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4};
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4};
const mp_no mptwo = {1,{1.0,2.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0}};
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0}};
__cpy(x,&z,p); z.e=0; __mp_dbl(&z,&t,p);
t=ONE/t; __dbl_mp(t,y,p); EY -= EX;

27
sysdeps/ieee754/dbl-64/mpa.h
View File

@ -1,8 +1,7 @@
/*
* IBM Accurate Mathematical Library
* Written by International Business Machines Corp.
* Copyright (C) 2001 Free Software Foundation, Inc.
* Copyright (C) 2001, 2011 Free Software Foundation, Inc.
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
@ -45,14 +44,14 @@ typedef struct {/* This structure holds the details of a multi-precision */
int e; /* floating point number, x: d[0] holds its sign (-1,0 or 1) */
double d[40]; /* e holds its exponent (...,-2,-1,0,1,2,...) and */
} mp_no; /* d[1]...d[p] hold its mantissa digits. The value of x is, */
/* x = d[1]*r**(e-1) + d[2]*r**(e-2) + ... + d[p]*r**(e-p). */
/* Here r = 2**24, 0 <= d[i] < r and 1 <= p <= 32. */
/* p is a global variable. A multi-precision number is */
/* always normalized. Namely, d[1] > 0. An exception is */
/* a zero which is characterized by d[0] = 0. The terms */
/* d[p+1], d[p+2], ... of a none zero number have no */
/* significance and so are the terms e, d[1],d[2],... */
/* of a zero. */
/* x = d[1]*r**(e-1) + d[2]*r**(e-2) + ... + d[p]*r**(e-p). */
/* Here r = 2**24, 0 <= d[i] < r and 1 <= p <= 32. */
/* p is a global variable. A multi-precision number is */
/* always normalized. Namely, d[1] > 0. An exception is */
/* a zero which is characterized by d[0] = 0. The terms */
/* d[p+1], d[p+2], ... of a none zero number have no */
/* significance and so are the terms e, d[1],d[2],... */
/* of a zero. */
typedef union { int i[2]; double d; } number;
@ -65,16 +64,16 @@ typedef union { int i[2]; double d; } number;
#define ABS(x) ((x) < 0 ? -(x) : (x))
int __acr(const mp_no *, const mp_no *, int);
int __cr(const mp_no *, const mp_no *, int);
// int __acr(const mp_no *, const mp_no *, int);
// int __cr(const mp_no *, const mp_no *, int);
void __cpy(const mp_no *, mp_no *, int);
void __cpymn(const mp_no *, int, mp_no *, int);
// void __cpymn(const mp_no *, int, mp_no *, int);
void __mp_dbl(const mp_no *, double *, int);
void __dbl_mp(double, mp_no *, int);
void __add(const mp_no *, const mp_no *, mp_no *, int);
void __sub(const mp_no *, const mp_no *, mp_no *, int);
void __mul(const mp_no *, const mp_no *, mp_no *, int);
void __inv(const mp_no *, mp_no *, int);
// void __inv(const mp_no *, mp_no *, int);
void __dvd(const mp_no *, const mp_no *, mp_no *, int);
extern void __mpatan (mp_no *, mp_no *, int);

15
sysdeps/ieee754/dbl-64/mpsqrt.c
View File

@ -1,8 +1,7 @@
/*
* IBM Accurate Mathematical Library
* written by International Business Machines Corp.
* Copyright (C) 2001 Free Software Foundation
* Copyright (C) 2001, 2011 Free Software Foundation
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
@ -41,7 +40,7 @@
/* p as integer. Routine computes sqrt(*x) and stores result in *y */
/****************************************************************************/
double fastiroot(double);
static double fastiroot(double);
void __mpsqrt(mp_no *x, mp_no *y, int p) {
#include "mpsqrt.h"
@ -50,11 +49,11 @@ void __mpsqrt(mp_no *x, mp_no *y, int p) {
double dx,dy;
mp_no
mphalf = {0,{0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0}},
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0}},
mp3halfs = {0,{0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0}};
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,
0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0}};
mp_no mpxn,mpz,mpu,mpt1,mpt2;
/* Prepare multi-precision 1/2 and 3/2 */
@ -82,7 +81,7 @@ void __mpsqrt(mp_no *x, mp_no *y, int p) {
/* Compute a double precision approximation for 1/sqrt(x) */
/* with the relative error bounded by 2**-51. */
/***********************************************************/
double fastiroot(double x) {
static double fastiroot(double x) {
union {int i[2]; double d;} p,q;
double y,z, t;
int n;

16
sysdeps/ieee754/dbl-64/s_atan.c
View File

@ -46,7 +46,13 @@
void __mpatan(mp_no *,mp_no *,int); /* see definition in mpatan.c */
static double atanMp(double,const int[]);
double __signArctan(double,double);
/* Fix the sign of y and return */
static double __signArctan(double x,double y){
return __copysign(y, x);
}
/* An ultimate atan() routine. Given an IEEE double machine number x, */
/* routine computes the correctly rounded (to nearest) value of atan(x). */
double atan(double x) {
@ -203,14 +209,6 @@ double atan(double x) {
}
/* Fix the sign of y and return */
double __signArctan(double x,double y){
if (x<ZERO) return -y;
else return y;
}
/* Final stages. Compute atan(x) by multiple precision arithmetic */
static double atanMp(double x,const int pr[]){
mp_no mpx,mpy,mpy2,mperr,mpt1,mpy1;

212
sysdeps/ieee754/dbl-64/s_sin.c
View File

@ -1,7 +1,7 @@
/*
* IBM Accurate Mathematical Library
* written by International Business Machines Corp.
* Copyright (C) 2001, 2009 Free Software Foundation
* Copyright (C) 2001, 2009, 2011 Free Software Foundation
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
@ -53,15 +53,20 @@
#include "mydefs.h"
#include "usncs.h"
#include "MathLib.h"
#include "sincos.tbl"
#include "math_private.h"
extern const union
{
int4 i[880];
double x[440];
} __sincostab attribute_hidden;
static const double
sn3 = -1.66666666666664880952546298448555E-01,
sn5 = 8.33333214285722277379541354343671E-03,
cs2 = 4.99999999999999999999950396842453E-01,
cs4 = -4.16666666666664434524222570944589E-02,
cs6 = 1.38888874007937613028114285595617E-03;
sn3 = -1.66666666666664880952546298448555E-01,
sn5 = 8.33333214285722277379541354343671E-03,
cs2 = 4.99999999999999999999950396842453E-01,
cs4 = -4.16666666666664434524222570944589E-02,
cs6 = 1.38888874007937613028114285595617E-03;
void __dubsin(double x, double dx, double w[]);
void __docos(double x, double dx, double w[]);
@ -120,10 +125,10 @@ double __sin(double x){
s = y + y*xx*(sn3 +xx*sn5);
c = xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=(m>0)?sincos.x[k]:-sincos.x[k];
ssn=(m>0)?sincos.x[k+1]:-sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=(m>0)?__sincostab.x[k]:-__sincostab.x[k];
ssn=(m>0)?__sincostab.x[k+1]:-__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
cor=(ssn+s*ccs-sn*c)+cs*s;
res=sn+cor;
cor=(sn-res)+cor;
@ -146,10 +151,10 @@ double __sin(double x){
s = y + y*xx*(sn3 +xx*sn5);
c = xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
cor=(ccs-s*ssn-cs*c)-sn*s;
res=cs+cor;
cor=(cs-res)+cor;
@ -174,7 +179,7 @@ double __sin(double x){
xx = a*a;
if (n) {a=-a;da=-da;}
if (xx < 0.01588) {
/*Taylor series */
/*Taylor series */
t = (((((s5.x*xx + s4.x)*xx + s3.x)*xx + s2.x)*xx + s1.x)*a - 0.5*da)*xx+da;
res = a+t;
cor = (a-res)+t;
@ -192,10 +197,10 @@ double __sin(double x){
s = y + (db+y*xx*(sn3 +xx*sn5));
c = y*db+xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
cor=(ssn+s*ccs-sn*c)+cs*s;
res=sn+cor;
cor=(sn-res)+cor;
@ -212,10 +217,10 @@ double __sin(double x){
y=a-(u.x-big.x)+da;
xx=y*y;
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
s = y + y*xx*(sn3 +xx*sn5);
c = xx*(cs2 +xx*(cs4 + xx*cs6));
cor=(ccs-s*ssn-cs*c)-sn*s;
@ -253,7 +258,7 @@ double __sin(double x){
xx = a*a;
if (n) {a=-a;da=-da;}
if (xx < 0.01588) {
/* Taylor series */
/* Taylor series */
t = (((((s5.x*xx + s4.x)*xx + s3.x)*xx + s2.x)*xx + s1.x)*a - 0.5*da)*xx+da;
res = a+t;
cor = (a-res)+t;
@ -269,10 +274,10 @@ double __sin(double x){
s = y + (db+y*xx*(sn3 +xx*sn5));
c = y*db+xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
cor=(ssn+s*ccs-sn*c)+cs*s;
res=sn+cor;
cor=(sn-res)+cor;
@ -289,10 +294,10 @@ double __sin(double x){
y=a-(u.x-big.x)+da;
xx=y*y;
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
s = y + y*xx*(sn3 +xx*sn5);
c = xx*(cs2 +xx*(cs4 + xx*cs6));
cor=(ccs-s*ssn-cs*c)-sn*s;
@ -364,10 +369,10 @@ double __cos(double x)
s = y + y*xx*(sn3 +xx*sn5);
c = xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
cor=(ccs-s*ssn-cs*c)-sn*s;
res=cs+cor;
cor=(cs-res)+cor;
@ -396,10 +401,10 @@ double __cos(double x)
s = y + (db+y*xx*(sn3 +xx*sn5));
c = y*db+xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
cor=(ssn+s*ccs-sn*c)+cs*s;
res=sn+cor;
cor=(sn-res)+cor;
@ -442,10 +447,10 @@ double __cos(double x)
s = y + (db+y*xx*(sn3 +xx*sn5));
c = y*db+xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
cor=(ssn+s*ccs-sn*c)+cs*s;
res=sn+cor;
cor=(sn-res)+cor;
@ -461,10 +466,10 @@ double __cos(double x)
y=a-(u.x-big.x)+da;
xx=y*y;
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
s = y + y*xx*(sn3 +xx*sn5);
c = xx*(cs2 +xx*(cs4 + xx*cs6));
cor=(ccs-s*ssn-cs*c)-sn*s;
@ -473,7 +478,7 @@ double __cos(double x)
cor = (cor>0)? 1.025*cor+eps : 1.025*cor-eps;
return (res==res+cor)? ((n)?-res:res) : csloww2(a,da,x,n);
break;
break;
}
@ -517,10 +522,10 @@ double __cos(double x)
s = y + (db+y*xx*(sn3 +xx*sn5));
c = y*db+xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
cor=(ssn+s*ccs-sn*c)+cs*s;
res=sn+cor;
cor=(sn-res)+cor;
@ -536,10 +541,10 @@ double __cos(double x)
y=a-(u.x-big.x)+da;
xx=y*y;
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
s = y + y*xx*(sn3 +xx*sn5);
c = xx*(cs2 +xx*(cs4 + xx*cs6));
cor=(ccs-s*ssn-cs*c)-sn*s;
@ -611,7 +616,7 @@ static const double th2_36 = 206158430208.0; /* 1.5*2**37 */
}
}
/*******************************************************************************/
/* Routine compute sin(x) for 0.25<|x|< 0.855469 by sincos.tbl and Taylor */
/* Routine compute sin(x) for 0.25<|x|< 0.855469 by __sincostab.tbl and Taylor */
/* and if result still doesn't accurate enough by mpsin or dubsin */
/*******************************************************************************/
@ -627,10 +632,10 @@ static double slow1(double x) {
s = y*xx*(sn3 +xx*sn5);
c = xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k]; /* Data */
ssn=sincos.x[k+1]; /* from */
cs=sincos.x[k+2]; /* tables */
ccs=sincos.x[k+3]; /* sincos.tbl */
sn=__sincostab.x[k]; /* Data */
ssn=__sincostab.x[k+1]; /* from */
cs=__sincostab.x[k+2]; /* tables */
ccs=__sincostab.x[k+3]; /* __sincostab.tbl */
y1 = (y+t22)-t22;
y2 = y - y1;
c1 = (cs+t22)-t22;
@ -648,7 +653,7 @@ static double slow1(double x) {
}
}
/**************************************************************************/
/* Routine compute sin(x) for 0.855469 <|x|<2.426265 by sincos.tbl */
/* Routine compute sin(x) for 0.855469 <|x|<2.426265 by __sincostab.tbl */
/* and if result still doesn't accurate enough by mpsin or dubsin */
/**************************************************************************/
static double slow2(double x) {
@ -672,10 +677,10 @@ static double slow2(double x) {
s = y*xx*(sn3 +xx*sn5);
c = y*del+xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
y1 = (y+t22)-t22;
y2 = (y - y1)+del;
e1 = (sn+t22)-t22;
@ -763,10 +768,10 @@ static double sloww1(double x, double dx, double orig) {
s = y*xx*(sn3 +xx*sn5);
c = xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
y1 = (y+t22)-t22;
y2 = (y - y1)+dx;
c1 = (cs+t22)-t22;
@ -805,10 +810,10 @@ static double sloww2(double x, double dx, double orig, int n) {
s = y*xx*(sn3 +xx*sn5);
c = y*dx+xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
y1 = (y+t22)-t22;
y2 = (y - y1)+dx;
@ -882,10 +887,10 @@ mynumber u;
s = y*xx*(sn3 +xx*sn5);
c = xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
y1 = (y+t22)-t22;
y2 = (y - y1)+dx;
c1 = (cs+t22)-t22;
@ -925,10 +930,10 @@ mynumber u;
s = y*xx*(sn3 +xx*sn5);
c = y*dx+xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
y1 = (y+t22)-t22;
y2 = (y - y1)+dx;
@ -966,10 +971,10 @@ static double cslow2(double x) {
s = y*xx*(sn3 +xx*sn5);
c = xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
y1 = (y+t22)-t22;
y2 = y - y1;
e1 = (sn+t22)-t22;
@ -1059,10 +1064,10 @@ static double csloww1(double x, double dx, double orig) {
s = y*xx*(sn3 +xx*sn5);
c = xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
y1 = (y+t22)-t22;
y2 = (y - y1)+dx;
c1 = (cs+t22)-t22;
@ -1103,10 +1108,10 @@ static double csloww2(double x, double dx, double orig, int n) {
s = y*xx*(sn3 +xx*sn5);
c = y*dx+xx*(cs2 +xx*(cs4 + xx*cs6));
k=u.i[LOW_HALF]<<2;
sn=sincos.x[k];
ssn=sincos.x[k+1];
cs=sincos.x[k+2];
ccs=sincos.x[k+3];
sn=__sincostab.x[k];
ssn=__sincostab.x[k+1];
cs=__sincostab.x[k+2];
ccs=__sincostab.x[k+3];
y1 = (y+t22)-t22;
y2 = (y - y1)+dx;
@ -1127,12 +1132,17 @@ static double csloww2(double x, double dx, double orig, int n) {
}
}
#ifndef __cos
weak_alias (__cos, cos)
weak_alias (__sin, sin)
#ifdef NO_LONG_DOUBLE
strong_alias (__sin, __sinl)
weak_alias (__sin, sinl)
# ifdef NO_LONG_DOUBLE
strong_alias (__cos, __cosl)
weak_alias (__cos, cosl)
# endif
#endif
#ifndef __sin
weak_alias (__sin, sin)
# ifdef NO_LONG_DOUBLE
strong_alias (__sin, __sinl)
weak_alias (__sin, sinl)
# endif
#endif

9
sysdeps/ieee754/dbl-64/sincos.tbl → sysdeps/ieee754/dbl-64/sincostab.c
View File

@ -1,7 +1,7 @@
/*
* IBM Accurate Mathematical Library
* Written by International Business Machines Corp.
* Copyright (C) 2001, 2007 Free Software Foundation, Inc.
* Copyright (C) 2001, 2007, 2011 Free Software Foundation, Inc.
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
@ -18,13 +18,16 @@
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*/
#include <mydefs.h>
#include <endian.h>
/****************************************************************/
/* TABLES FOR THE usin() and ucos() FUNCTION */
/****************************************************************/
#ifdef BIG_ENDI
static const union {int4 i[880]; double x[440];}sincos = { .i = {
const union {int4 i[880]; double x[440];}__sincostab = { .i = {
/**/ 0x00000000, 0x00000000,
/**/ 0x00000000, 0x00000000,
/**/ 0x3FF00000, 0x00000000,
@ -467,7 +470,7 @@ static const union {int4 i[880]; double x[440];}sincos = { .i = {
/**/ 0x3C747A10, 0x8073C259 } };
#else
#ifdef LITTLE_ENDI
static const union {int4 i[880]; double x[440];} sincos = { .i = {
const union {int4 i[880]; double x[440];} __sincostab = { .i = {
/**/ 0x00000000, 0x00000000,
/**/ 0x00000000, 0x00000000,
/**/ 0x00000000, 0x3FF00000,

32
sysdeps/x86_64/fpu/multiarch/Makefile
View File

@ -1,4 +1,36 @@
ifeq ($(subdir),math)
libm-sysdep_routines += s_floor-c s_ceil-c s_floorf-c s_ceilf-c \
s_rint-c s_rintf-c s_nearbyint-c s_nearbyintf-c
ifeq ($(have-mfma4),yes)
libm-sysdep_routines += e_exp-fma4 e_log-fma4 e_pow-fma4 s_atan-fma4 \
e_asin-fma4 e_atan2-fma4 s_sin-fma4 s_tan-fma4 \
mplog-fma4 mpa-fma4 slowexp-fma4 slowpow-fma4 \
sincos32-fma4 doasin-fma4 dosincos-fma4 \
brandred-fma4 halfulp-fma4 mpexp-fma4 \
mpatan2-fma4 mpatan-fma4 mpsqrt-fma4 mptan-fma4
CFLAGS-brandred-fma4.c = -mfma4
CFLAGS-doasin-fma4.c = -mfma4
CFLAGS-dosincos-fma4.c = -mfma4
CFLAGS-e_asin-fma4.c = -mfma4
CFLAGS-e_atan2-fma4.c = -mfma4
CFLAGS-e_exp-fma4.c = -mfma4
CFLAGS-e_log-fma4.c = -mfma4
CFLAGS-e_pow-fma4.c = -mfma4
CFLAGS-halfulp-fma4.c = -mfma4
CFLAGS-mpa-fma4.c = -mfma4
CFLAGS-mpatan-fma4.c = -mfma4
CFLAGS-mpatan2-fma4.c = -mfma4
CFLAGS-mpexp-fma4.c = -mfma4
CFLAGS-mplog-fma4.c = -mfma4
CFLAGS-mpsqrt-fma4.c = -mfma4
CFLAGS-mptan-fma4.c = -mfma4
CFLAGS-s_atan-fma4.c = -mfma4
CFLAGS-sincos32-fma4.c = -mfma4
CFLAGS-slowexp-fma4.c = -mfma4
CFLAGS-slowpow-fma4.c = -mfma4
CLFAGS-s_sin-fma4.c = -mfma4
CLFAGS-s_tan-fma4.c = -mfma4
endif
endif

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sysdeps/x86_64/fpu/multiarch/brandred-fma4.c Normal file
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#define __branred __branred_fma4
#include <sysdeps/ieee754/dbl-64/branred.c>

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sysdeps/x86_64/fpu/multiarch/doasin-fma4.c Normal file
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#define __doasin __doasin_fma4
#include <sysdeps/ieee754/dbl-64/doasin.c>

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sysdeps/x86_64/fpu/multiarch/dosincos-fma4.c Normal file
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#define __docos __docos_fma4
#define __dubcos __dubcos_fma4
#define __dubsin __dubsin_fma4
#include <sysdeps/ieee754/dbl-64/dosincos.c>

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sysdeps/x86_64/fpu/multiarch/e_asin-fma4.c Normal file
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#define __ieee754_acos __ieee754_acos_fma4
#define __ieee754_asin __ieee754_asin_fma4
#define __cos32 __cos32_fma4
#define __doasin __doasin_fma4
#define __docos __docos_fma4
#define __dubcos __dubcos_fma4
#define __dubsin __dubsin_fma4
#define __sin32 __sin32_fma4
#include <sysdeps/ieee754/dbl-64/e_asin.c>

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sysdeps/x86_64/fpu/multiarch/e_asin.c Normal file
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#ifdef HAVE_FMA4_SUPPORT
# include <init-arch.h>
# include <math_private.h>
extern double __ieee754_acos_sse2 (double);
extern double __ieee754_acos_fma4 (double);
extern double __ieee754_asin_sse2 (double);
extern double __ieee754_asin_fma4 (double);
libm_ifunc (__ieee754_acos,
HAS_FMA4 ? __ieee754_acos_fma4 : __ieee754_acos_sse2);
strong_alias (__ieee754_acos, __acos_finite)
libm_ifunc (__ieee754_asin,
HAS_FMA4 ? __ieee754_asin_fma4 : __ieee754_asin_sse2);
strong_alias (__ieee754_asin, __asin_finite)
# define __ieee754_acos __ieee754_acos_sse2
# define __ieee754_asin __ieee754_asin_sse2
#endif
#include <sysdeps/ieee754/dbl-64/e_asin.c>

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sysdeps/x86_64/fpu/multiarch/e_atan2-fma4.c Normal file
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#define __ieee754_atan2 __ieee754_atan2_fma4
#define __add __add_fma4
#define __dbl_mp __dbl_mp_fma4
#define __dvd __dvd_fma4
#define __mpatan2 __mpatan2_fma4
#define __mul __mul_fma4
#define __sub __sub_fma4
#include <sysdeps/ieee754/dbl-64/e_atan2.c>

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sysdeps/x86_64/fpu/multiarch/e_atan2.c Normal file
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#ifdef HAVE_FMA4_SUPPORT
# include <init-arch.h>
# include <math_private.h>
extern double __ieee754_atan2_sse2 (double, double);
extern double __ieee754_atan2_fma4 (double, double);
libm_ifunc (__ieee754_atan2,
HAS_FMA4 ? __ieee754_atan2_fma4 : __ieee754_atan2_sse2);
strong_alias (__ieee754_atan2, __atan2_finite)
# define __ieee754_atan2 __ieee754_atan2_sse2
#endif
#include <sysdeps/ieee754/dbl-64/e_atan2.c>

5
sysdeps/x86_64/fpu/multiarch/e_exp-fma4.c Normal file
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#define __ieee754_exp __ieee754_exp_fma4
#define __exp1 __exp1_fma4
#define __slowexp __slowexp_fma4
#include <sysdeps/ieee754/dbl-64/e_exp.c>

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sysdeps/x86_64/fpu/multiarch/e_exp.c Normal file
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#ifdef HAVE_FMA4_SUPPORT
# include <init-arch.h>
# include <math_private.h>
extern double __ieee754_exp_sse2 (double);
extern double __ieee754_exp_fma4 (double);
libm_ifunc (__ieee754_exp, HAS_FMA4 ? __ieee754_exp_fma4 : __ieee754_exp_sse2);
strong_alias (__ieee754_exp, __exp_finite)
# define __ieee754_exp __ieee754_exp_sse2
#endif
#include <sysdeps/ieee754/dbl-64/e_exp.c>

7
sysdeps/x86_64/fpu/multiarch/e_log-fma4.c Normal file
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#define __ieee754_log __ieee754_log_fma4
#define __mplog __mplog_fma4
#define __add __add_fma4
#define __dbl_mp __dbl_mp_fma4
#define __sub __sub_fma4
#include <sysdeps/ieee754/dbl-64/e_log.c>

15
sysdeps/x86_64/fpu/multiarch/e_log.c Normal file
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#ifdef HAVE_FMA4_SUPPORT
# include <init-arch.h>
# include <math_private.h>
extern double __ieee754_log_sse2 (double);
extern double __ieee754_log_fma4 (double);
libm_ifunc (__ieee754_log, HAS_FMA4 ? __ieee754_log_fma4 : __ieee754_log_sse2);
strong_alias (__ieee754_log, __log_finite)
# define __ieee754_log __ieee754_log_sse2
#endif
#include <sysdeps/ieee754/dbl-64/e_log.c>

5
sysdeps/x86_64/fpu/multiarch/e_pow-fma4.c Normal file
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#define __ieee754_pow __ieee754_pow_fma4
#define __exp1 __exp1_fma4
#define __slowpow __slowpow_fma4
#include <sysdeps/ieee754/dbl-64/e_pow.c>

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sysdeps/x86_64/fpu/multiarch/e_pow.c Normal file
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#ifdef HAVE_FMA4_SUPPORT
# include <init-arch.h>
# include <math_private.h>
extern double __ieee754_pow_sse2 (double, double);
extern double __ieee754_pow_fma4 (double, double);
libm_ifunc (__ieee754_pow, HAS_FMA4 ? __ieee754_pow_fma4 : __ieee754_pow_sse2);
strong_alias (__ieee754_pow, __pow_finite)
# define __ieee754_pow __ieee754_pow_sse2
#endif
#include <sysdeps/ieee754/dbl-64/e_pow.c>

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sysdeps/x86_64/fpu/multiarch/halfulp-fma4.c Normal file
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#define __halfulp __halfulp_fma4
#include <sysdeps/ieee754/dbl-64/halfulp.c>

10
sysdeps/x86_64/fpu/multiarch/mpa-fma4.c Normal file
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#define __add __add_fma4
#define __mul __mul_fma4
#define __sub __sub_fma4
#define __dbl_mp __dbl_mp_fma4
#define __dvd __dvd_fma4
#define NO___CPY 1
#define NO___MP_DBL 1
#include <sysdeps/ieee754/dbl-64/mpa.c>

8
sysdeps/x86_64/fpu/multiarch/mpatan-fma4.c Normal file
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#define __mpatan __mpatan_fma4
#define __add __add_fma4
#define __dvd __dvd_fma4
#define __mpsqrt __mpsqrt_fma4
#define __mul __mul_fma4
#define __sub __sub_fma4
#include <sysdeps/ieee754/dbl-64/mpatan.c>

8
sysdeps/x86_64/fpu/multiarch/mpatan2-fma4.c Normal file
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#define __mpatan2 __mpatan2_fma4
#define __add __add_fma4
#define __dvd __dvd_fma4
#define __mpatan __mpatan_fma4
#define __mpsqrt __mpsqrt_fma4
#define __mul __mul_fma4
#include <sysdeps/ieee754/dbl-64/mpatan2.c>

7
sysdeps/x86_64/fpu/multiarch/mpexp-fma4.c Normal file
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#define __mpexp __mpexp_fma4
#define __add __add_fma4
#define __dbl_mp __dbl_mp_fma4
#define __dvd __dvd_fma4
#define __mul __mul_fma4
#include <sysdeps/ieee754/dbl-64/mpexp.c>

7
sysdeps/x86_64/fpu/multiarch/mplog-fma4.c Normal file
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#define __mplog __mplog_fma4
#define __add __add_fma4
#define __mpexp __mpexp_fma4
#define __mul __mul_fma4
#define __sub __sub_fma4
#include <sysdeps/ieee754/dbl-64/mplog.c>

6
sysdeps/x86_64/fpu/multiarch/mpsqrt-fma4.c Normal file
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#define __mpsqrt __mpsqrt_fma4
#define __dbl_mp __dbl_mp_fma4
#define __mul __mul_fma4
#define __sub __sub_fma4
#include <sysdeps/ieee754/dbl-64/mpsqrt.c>

6
sysdeps/x86_64/fpu/multiarch/mptan-fma4.c Normal file
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#define __mptan __mptan_fma4
#define __c32 __c32_fma4
#define __dvd __dvd_fma4
#define __mpranred __mpranred_fma4
#include <sysdeps/ieee754/dbl-64/mptan.c>

8
sysdeps/x86_64/fpu/multiarch/s_atan-fma4.c Normal file
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#define atan __atan_fma4
#define __add __add_fma4
#define __dbl_mp __dbl_mp_fma4
#define __mpatan __mpatan_fma4
#define __mul __mul_fma4
#define __sub __sub_fma4
#include <sysdeps/ieee754/dbl-64/s_atan.c>

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sysdeps/x86_64/fpu/multiarch/s_atan.c Normal file
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#ifdef HAVE_FMA4_SUPPORT
# include <init-arch.h>
# include <math.h>
extern double __atan_sse2 (double);
extern double __atan_fma4 (double);
libm_ifunc (atan, HAS_FMA4 ? __atan_fma4 : __atan_sse2);
# define atan __atan_sse2
#endif
#include <sysdeps/ieee754/dbl-64/s_atan.c>

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sysdeps/x86_64/fpu/multiarch/s_sin-fma4.c Normal file
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#define __cos __cos_fma4
#define __sin __sin_fma4
#define __branred __branred_fma4
#define __docos __docos_fma4
#define __dubsin __dubsin_fma4
#define __mpcos __mpcos_fma4
#define __mpcos1 __mpcos1_fma4
#define __mpsin __mpsin_fma4
#define __mpsin1 __mpsin1_fma4
#include <sysdeps/ieee754/dbl-64/s_sin.c>

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sysdeps/x86_64/fpu/multiarch/s_sin.c Normal file
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#ifdef HAVE_FMA4_SUPPORT
# include <init-arch.h>
# include <math.h>
# undef NAN
extern double __cos_sse2 (double);
extern double __cos_fma4 (double);
extern double __sin_sse2 (double);
extern double __sin_fma4 (double);
libm_ifunc (__cos, HAS_FMA4 ? __cos_fma4 : __cos_sse2);
weak_alias (__cos, cos)
libm_ifunc (__sin, HAS_FMA4 ? __sin_fma4 : __sin_sse2);
weak_alias (__sin, sin)
# define __cos __cos_sse2
# define __sin __sin_sse2
#endif
#include <sysdeps/ieee754/dbl-64/s_sin.c>

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sysdeps/x86_64/fpu/multiarch/s_tan-fma4.c Normal file
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#define tan __tan_fma4
#define __branred __branred_fma4
#define __dbl_mp __dbl_mp_fma4
#define __mpranred __mpranred_fma4
#define __mptan __mptan_fma4
#define __sub __sub_fma4
#include <sysdeps/ieee754/dbl-64/s_tan.c>

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sysdeps/x86_64/fpu/multiarch/s_tan.c Normal file
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#ifdef HAVE_FMA4_SUPPORT
# include <init-arch.h>
# include <math.h>
extern double __tan_sse2 (double);
extern double __tan_fma4 (double);
libm_ifunc (tan, HAS_FMA4 ? __tan_fma4 : __tan_sse2);
# define tan __tan_sse2
#endif
#include <sysdeps/ieee754/dbl-64/s_tan.c>

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sysdeps/x86_64/fpu/multiarch/sincos32-fma4.c Normal file
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#define __cos32 __cos32_fma4
#define __sin32 __sin32_fma4
#define __c32 __c32_fma4
#define __mpsin __mpsin_fma4
#define __mpsin1 __mpsin1_fma4
#define __mpcos __mpcos_fma4
#define __mpcos1 __mpcos1_fma4
#define __mpranred __mpranred_fma4
#define __add __add_fma4
#define __dbl_mp __dbl_mp_fma4
#define __mul __mul_fma4
#define __sub __sub_fma4
#include <sysdeps/ieee754/dbl-64/sincos32.c>

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sysdeps/x86_64/fpu/multiarch/slowexp-fma4.c Normal file
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#define __slowexp __slowexp_fma4
#define __add __add_fma4
#define __dbl_mp __dbl_mp_fma4
#define __mpexp __mpexp_fma4
#define __mul __mul_fma4
#define __sub __sub_fma4
#include <sysdeps/ieee754/dbl-64/slowexp.c>

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sysdeps/x86_64/fpu/multiarch/slowpow-fma4.c Normal file
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#define __slowpow __slowpow_fma4
#define __add __add_fma4
#define __dbl_mp __dbl_mp_fma4
#define __mpexp __mpexp_fma4
#define __mplog __mplog_fma4
#define __mul __mul_fma4
#define __sub __sub_fma4
#define __halfulp __halfulp_fma4
#include <sysdeps/ieee754/dbl-64/slowpow.c>