added missing posix functions

git-svn-id: file:///srv/svn/repos/haiku/haiku/trunk@33867 a95241bf-73f2-0310-859d-f6bbb57e9c96
This commit is contained in:
Jérôme Duval
2009-11-03 20:04:10 +00:00
parent b11d8c839f
commit 15f18c0947
4 changed files with 502 additions and 2 deletions
+6
View File
@@ -106,6 +106,7 @@ extern float logf(float x);
extern long lrintf(float x); extern long lrintf(float x);
extern long lroundf(float x); extern long lroundf(float x);
extern float modff(float x, float *y); extern float modff(float x, float *y);
extern float nanf(const char *tagp);
extern float nearbyintf(float x); extern float nearbyintf(float x);
extern float powf(float x, float y); extern float powf(float x, float y);
extern float remquof(float x, float y, int *quo); extern float remquof(float x, float y, int *quo);
@@ -142,6 +143,7 @@ extern double log10(double x);
extern long lrint(double x); extern long lrint(double x);
extern long lround(double x); extern long lround(double x);
extern double modf(double x, double *y); extern double modf(double x, double *y);
extern double nan(const char* tagp);
extern double nearbyint(double x); extern double nearbyint(double x);
extern double pow(double x, double y); extern double pow(double x, double y);
extern double remquo(double x, double y, int *quo); extern double remquo(double x, double y, int *quo);
@@ -161,11 +163,13 @@ extern long double atanl(long double x);
extern long double atanhl(long double x); extern long double atanhl(long double x);
extern long double atan2l(long double y, long double x); extern long double atan2l(long double y, long double x);
extern long double lgammal(long double x); extern long double lgammal(long double x);
extern long double nanl(const char* tagp);
extern long double nearbyintl(long double x); extern long double nearbyintl(long double x);
extern long long llrintl(long double x); extern long long llrintl(long double x);
extern long long llroundl(long double x); extern long long llroundl(long double x);
extern long lrintl(long double x); extern long lrintl(long double x);
extern long lroundl(long double x); extern long lroundl(long double x);
extern long double powl(long double x, long double y);
extern long double remquol(long double x, long double y, int *quo); extern long double remquol(long double x, long double y, int *quo);
extern long double roundl(long double x); extern long double roundl(long double x);
@@ -223,6 +227,8 @@ extern float scalbf(float x, float n);
extern float scalbnf(float x, int n); extern float scalbnf(float x, int n);
extern int ilogbf(float x); extern int ilogbf(float x);
extern long double erfcl(long double x);
extern long double erfl(long double x);
extern long double nextafterl(long double x, long double y); extern long double nextafterl(long double x, long double y);
extern long double nexttowardl(long double x, long double y); extern long double nexttowardl(long double x, long double y);
extern long double remainderl(long double x, long double y); extern long double remainderl(long double x, long double y);
@@ -0,0 +1,454 @@
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/* Long double expansions are
Copyright (C) 2001 Stephen L. Moshier <[email protected]>
and are incorporated herein by permission of the author. The author
reserves the right to distribute this material elsewhere under different
copying permissions. These modifications are distributed here under
the following terms:
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with this library; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */
/* double erf(double x)
* double erfc(double x)
* x
* 2 |\
* erf(x) = --------- | exp(-t*t)dt
* sqrt(pi) \|
* 0
*
* erfc(x) = 1-erf(x)
* Note that
* erf(-x) = -erf(x)
* erfc(-x) = 2 - erfc(x)
*
* Method:
* 1. For |x| in [0, 0.84375]
* erf(x) = x + x*R(x^2)
* erfc(x) = 1 - erf(x) if x in [-.84375,0.25]
* = 0.5 + ((0.5-x)-x*R) if x in [0.25,0.84375]
* Remark. The formula is derived by noting
* erf(x) = (2/sqrt(pi))*(x - x^3/3 + x^5/10 - x^7/42 + ....)
* and that
* 2/sqrt(pi) = 1.128379167095512573896158903121545171688
* is close to one. The interval is chosen because the fix
* point of erf(x) is near 0.6174 (i.e., erf(x)=x when x is
* near 0.6174), and by some experiment, 0.84375 is chosen to
* guarantee the error is less than one ulp for erf.
*
* 2. For |x| in [0.84375,1.25], let s = |x| - 1, and
* c = 0.84506291151 rounded to single (24 bits)
* erf(x) = sign(x) * (c + P1(s)/Q1(s))
* erfc(x) = (1-c) - P1(s)/Q1(s) if x > 0
* 1+(c+P1(s)/Q1(s)) if x < 0
* Remark: here we use the taylor series expansion at x=1.
* erf(1+s) = erf(1) + s*Poly(s)
* = 0.845.. + P1(s)/Q1(s)
* Note that |P1/Q1|< 0.078 for x in [0.84375,1.25]
*
* 3. For x in [1.25,1/0.35(~2.857143)],
* erfc(x) = (1/x)*exp(-x*x-0.5625+R1(z)/S1(z))
* z=1/x^2
* erf(x) = 1 - erfc(x)
*
* 4. For x in [1/0.35,107]
* erfc(x) = (1/x)*exp(-x*x-0.5625+R2/S2) if x > 0
* = 2.0 - (1/x)*exp(-x*x-0.5625+R2(z)/S2(z))
* if -6.666<x<0
* = 2.0 - tiny (if x <= -6.666)
* z=1/x^2
* erf(x) = sign(x)*(1.0 - erfc(x)) if x < 6.666, else
* erf(x) = sign(x)*(1.0 - tiny)
* Note1:
* To compute exp(-x*x-0.5625+R/S), let s be a single
* precision number and s := x; then
* -x*x = -s*s + (s-x)*(s+x)
* exp(-x*x-0.5626+R/S) =
* exp(-s*s-0.5625)*exp((s-x)*(s+x)+R/S);
* Note2:
* Here 4 and 5 make use of the asymptotic series
* exp(-x*x)
* erfc(x) ~ ---------- * ( 1 + Poly(1/x^2) )
* x*sqrt(pi)
*
* 5. For inf > x >= 107
* erf(x) = sign(x) *(1 - tiny) (raise inexact)
* erfc(x) = tiny*tiny (raise underflow) if x > 0
* = 2 - tiny if x<0
*
* 7. Special case:
* erf(0) = 0, erf(inf) = 1, erf(-inf) = -1,
* erfc(0) = 1, erfc(inf) = 0, erfc(-inf) = 2,
* erfc/erf(NaN) is NaN
*/
#include "math.h"
#include "math_private.h"
#ifdef __STDC__
static const long double
#else
static long double
#endif
tiny = 1e-4931L,
half = 0.5L,
one = 1.0L,
two = 2.0L,
/* c = (float)0.84506291151 */
erx = 0.845062911510467529296875L,
/*
* Coefficients for approximation to erf on [0,0.84375]
*/
/* 2/sqrt(pi) - 1 */
efx = 1.2837916709551257389615890312154517168810E-1L,
/* 8 * (2/sqrt(pi) - 1) */
efx8 = 1.0270333367641005911692712249723613735048E0L,
pp[6] = {
1.122751350964552113068262337278335028553E6L,
-2.808533301997696164408397079650699163276E6L,
-3.314325479115357458197119660818768924100E5L,
-6.848684465326256109712135497895525446398E4L,
-2.657817695110739185591505062971929859314E3L,
-1.655310302737837556654146291646499062882E2L,
},
qq[6] = {
8.745588372054466262548908189000448124232E6L,
3.746038264792471129367533128637019611485E6L,
7.066358783162407559861156173539693900031E5L,
7.448928604824620999413120955705448117056E4L,
4.511583986730994111992253980546131408924E3L,
1.368902937933296323345610240009071254014E2L,
/* 1.000000000000000000000000000000000000000E0 */
},
/*
* Coefficients for approximation to erf in [0.84375,1.25]
*/
/* erf(x+1) = 0.845062911510467529296875 + pa(x)/qa(x)
-0.15625 <= x <= +.25
Peak relative error 8.5e-22 */
pa[8] = {
-1.076952146179812072156734957705102256059E0L,
1.884814957770385593365179835059971587220E2L,
-5.339153975012804282890066622962070115606E1L,
4.435910679869176625928504532109635632618E1L,
1.683219516032328828278557309642929135179E1L,
-2.360236618396952560064259585299045804293E0L,
1.852230047861891953244413872297940938041E0L,
9.394994446747752308256773044667843200719E-2L,
},
qa[7] = {
4.559263722294508998149925774781887811255E2L,
3.289248982200800575749795055149780689738E2L,
2.846070965875643009598627918383314457912E2L,
1.398715859064535039433275722017479994465E2L,
6.060190733759793706299079050985358190726E1L,
2.078695677795422351040502569964299664233E1L,
4.641271134150895940966798357442234498546E0L,
/* 1.000000000000000000000000000000000000000E0 */
},
/*
* Coefficients for approximation to erfc in [1.25,1/0.35]
*/
/* erfc(1/x) = x exp (-1/x^2 - 0.5625 + ra(x^2)/sa(x^2))
1/2.85711669921875 < 1/x < 1/1.25
Peak relative error 3.1e-21 */
ra[] = {
1.363566591833846324191000679620738857234E-1L,
1.018203167219873573808450274314658434507E1L,
1.862359362334248675526472871224778045594E2L,
1.411622588180721285284945138667933330348E3L,
5.088538459741511988784440103218342840478E3L,
8.928251553922176506858267311750789273656E3L,
7.264436000148052545243018622742770549982E3L,
2.387492459664548651671894725748959751119E3L,
2.220916652813908085449221282808458466556E2L,
},
sa[] = {
-1.382234625202480685182526402169222331847E1L,
-3.315638835627950255832519203687435946482E2L,
-2.949124863912936259747237164260785326692E3L,
-1.246622099070875940506391433635999693661E4L,
-2.673079795851665428695842853070996219632E4L,
-2.880269786660559337358397106518918220991E4L,
-1.450600228493968044773354186390390823713E4L,
-2.874539731125893533960680525192064277816E3L,
-1.402241261419067750237395034116942296027E2L,
/* 1.000000000000000000000000000000000000000E0 */
},
/*
* Coefficients for approximation to erfc in [1/.35,107]
*/
/* erfc(1/x) = x exp (-1/x^2 - 0.5625 + rb(x^2)/sb(x^2))
1/6.6666259765625 < 1/x < 1/2.85711669921875
Peak relative error 4.2e-22 */
rb[] = {
-4.869587348270494309550558460786501252369E-5L,
-4.030199390527997378549161722412466959403E-3L,
-9.434425866377037610206443566288917589122E-2L,
-9.319032754357658601200655161585539404155E-1L,
-4.273788174307459947350256581445442062291E0L,
-8.842289940696150508373541814064198259278E0L,
-7.069215249419887403187988144752613025255E0L,
-1.401228723639514787920274427443330704764E0L,
},
sb[] = {
4.936254964107175160157544545879293019085E-3L,
1.583457624037795744377163924895349412015E-1L,
1.850647991850328356622940552450636420484E0L,
9.927611557279019463768050710008450625415E0L,
2.531667257649436709617165336779212114570E1L,
2.869752886406743386458304052862814690045E1L,
1.182059497870819562441683560749192539345E1L,
/* 1.000000000000000000000000000000000000000E0 */
},
/* erfc(1/x) = x exp (-1/x^2 - 0.5625 + rc(x^2)/sc(x^2))
1/107 <= 1/x <= 1/6.6666259765625
Peak relative error 1.1e-21 */
rc[] = {
-8.299617545269701963973537248996670806850E-5L,
-6.243845685115818513578933902532056244108E-3L,
-1.141667210620380223113693474478394397230E-1L,
-7.521343797212024245375240432734425789409E-1L,
-1.765321928311155824664963633786967602934E0L,
-1.029403473103215800456761180695263439188E0L,
},
sc[] = {
8.413244363014929493035952542677768808601E-3L,
2.065114333816877479753334599639158060979E-1L,
1.639064941530797583766364412782135680148E0L,
4.936788463787115555582319302981666347450E0L,
5.005177727208955487404729933261347679090E0L,
/* 1.000000000000000000000000000000000000000E0 */
};
#ifdef __STDC__
long double
__erfl (long double x)
#else
long double
__erfl (x)
long double x;
#endif
{
long double R, S, P, Q, s, y, z, r;
int32_t ix, i;
u_int32_t se, i0, i1;
GET_LDOUBLE_WORDS (se, i0, i1, x);
ix = se & 0x7fff;
if (ix >= 0x7fff)
{ /* erf(nan)=nan */
i = ((se & 0xffff) >> 15) << 1;
return (long double) (1 - i) + one / x; /* erf(+-inf)=+-1 */
}
ix = (ix << 16) | (i0 >> 16);
if (ix < 0x3ffed800) /* |x|<0.84375 */
{
if (ix < 0x3fde8000) /* |x|<2**-33 */
{
if (ix < 0x00080000)
return 0.125 * (8.0 * x + efx8 * x); /*avoid underflow */
return x + efx * x;
}
z = x * x;
r = pp[0] + z * (pp[1]
+ z * (pp[2] + z * (pp[3] + z * (pp[4] + z * pp[5]))));
s = qq[0] + z * (qq[1]
+ z * (qq[2] + z * (qq[3] + z * (qq[4] + z * (qq[5] + z)))));
y = r / s;
return x + x * y;
}
if (ix < 0x3fffa000) /* 1.25 */
{ /* 0.84375 <= |x| < 1.25 */
s = fabsl (x) - one;
P = pa[0] + s * (pa[1] + s * (pa[2]
+ s * (pa[3] + s * (pa[4] + s * (pa[5] + s * (pa[6] + s * pa[7]))))));
Q = qa[0] + s * (qa[1] + s * (qa[2]
+ s * (qa[3] + s * (qa[4] + s * (qa[5] + s * (qa[6] + s))))));
if ((se & 0x8000) == 0)
return erx + P / Q;
else
return -erx - P / Q;
}
if (ix >= 0x4001d555) /* 6.6666259765625 */
{ /* inf>|x|>=6.666 */
if ((se & 0x8000) == 0)
return one - tiny;
else
return tiny - one;
}
x = fabsl (x);
s = one / (x * x);
if (ix < 0x4000b6db) /* 2.85711669921875 */
{
R = ra[0] + s * (ra[1] + s * (ra[2] + s * (ra[3] + s * (ra[4] +
s * (ra[5] + s * (ra[6] + s * (ra[7] + s * ra[8])))))));
S = sa[0] + s * (sa[1] + s * (sa[2] + s * (sa[3] + s * (sa[4] +
s * (sa[5] + s * (sa[6] + s * (sa[7] + s * (sa[8] + s))))))));
}
else
{ /* |x| >= 1/0.35 */
R = rb[0] + s * (rb[1] + s * (rb[2] + s * (rb[3] + s * (rb[4] +
s * (rb[5] + s * (rb[6] + s * rb[7]))))));
S = sb[0] + s * (sb[1] + s * (sb[2] + s * (sb[3] + s * (sb[4] +
s * (sb[5] + s * (sb[6] + s))))));
}
z = x;
GET_LDOUBLE_WORDS (i, i0, i1, z);
i1 = 0;
SET_LDOUBLE_WORDS (z, i, i0, i1);
r =
__ieee754_expl (-z * z - 0.5625) * __ieee754_expl ((z - x) * (z + x) +
R / S);
if ((se & 0x8000) == 0)
return one - r / x;
else
return r / x - one;
}
weak_alias (__erfl, erfl)
#ifdef __STDC__
long double
__erfcl (long double x)
#else
long double
__erfcl (x)
long double x;
#endif
{
int32_t hx, ix;
long double R, S, P, Q, s, y, z, r;
u_int32_t se, i0, i1;
GET_LDOUBLE_WORDS (se, i0, i1, x);
ix = se & 0x7fff;
if (ix >= 0x7fff)
{ /* erfc(nan)=nan */
/* erfc(+-inf)=0,2 */
return (long double) (((se & 0xffff) >> 15) << 1) + one / x;
}
ix = (ix << 16) | (i0 >> 16);
if (ix < 0x3ffed800) /* |x|<0.84375 */
{
if (ix < 0x3fbe0000) /* |x|<2**-65 */
return one - x;
z = x * x;
r = pp[0] + z * (pp[1]
+ z * (pp[2] + z * (pp[3] + z * (pp[4] + z * pp[5]))));
s = qq[0] + z * (qq[1]
+ z * (qq[2] + z * (qq[3] + z * (qq[4] + z * (qq[5] + z)))));
y = r / s;
if (ix < 0x3ffd8000) /* x<1/4 */
{
return one - (x + x * y);
}
else
{
r = x * y;
r += (x - half);
return half - r;
}
}
if (ix < 0x3fffa000) /* 1.25 */
{ /* 0.84375 <= |x| < 1.25 */
s = fabsl (x) - one;
P = pa[0] + s * (pa[1] + s * (pa[2]
+ s * (pa[3] + s * (pa[4] + s * (pa[5] + s * (pa[6] + s * pa[7]))))));
Q = qa[0] + s * (qa[1] + s * (qa[2]
+ s * (qa[3] + s * (qa[4] + s * (qa[5] + s * (qa[6] + s))))));
if ((se & 0x8000) == 0)
{
z = one - erx;
return z - P / Q;
}
else
{
z = erx + P / Q;
return one + z;
}
}
if (ix < 0x4005d600) /* 107 */
{ /* |x|<107 */
x = fabsl (x);
s = one / (x * x);
if (ix < 0x4000b6db) /* 2.85711669921875 */
{ /* |x| < 1/.35 ~ 2.857143 */
R = ra[0] + s * (ra[1] + s * (ra[2] + s * (ra[3] + s * (ra[4] +
s * (ra[5] + s * (ra[6] + s * (ra[7] + s * ra[8])))))));
S = sa[0] + s * (sa[1] + s * (sa[2] + s * (sa[3] + s * (sa[4] +
s * (sa[5] + s * (sa[6] + s * (sa[7] + s * (sa[8] + s))))))));
}
else if (ix < 0x4001d555) /* 6.6666259765625 */
{ /* 6.666 > |x| >= 1/.35 ~ 2.857143 */
R = rb[0] + s * (rb[1] + s * (rb[2] + s * (rb[3] + s * (rb[4] +
s * (rb[5] + s * (rb[6] + s * rb[7]))))));
S = sb[0] + s * (sb[1] + s * (sb[2] + s * (sb[3] + s * (sb[4] +
s * (sb[5] + s * (sb[6] + s))))));
}
else
{ /* |x| >= 6.666 */
if (se & 0x8000)
return two - tiny; /* x < -6.666 */
R = rc[0] + s * (rc[1] + s * (rc[2] + s * (rc[3] +
s * (rc[4] + s * rc[5]))));
S = sc[0] + s * (sc[1] + s * (sc[2] + s * (sc[3] +
s * (sc[4] + s))));
}
z = x;
GET_LDOUBLE_WORDS (hx, i0, i1, z);
i1 = 0;
i0 &= 0xffffff00;
SET_LDOUBLE_WORDS (z, hx, i0, i1);
r = __ieee754_expl (-z * z - 0.5625) *
__ieee754_expl ((z - x) * (z + x) + R / S);
if ((se & 0x8000) == 0)
return r / x;
else
return two - r / x;
}
else
{
if ((se & 0x8000) == 0)
return tiny * tiny;
else
return two - tiny;
}
}
weak_alias (__erfcl, erfcl)
@@ -0,0 +1,40 @@
/* Return quiet nan.
Copyright (C) 1997 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <[email protected]>, 1997.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
The GNU C Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, write to the Free
Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
02111-1307 USA. */
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <ieee754.h>
long double
__nanl (const char *tagp)
{
if (tagp[0] != '\0')
{
char buf[6 + strlen (tagp)];
sprintf (buf, "NAN(%s)", tagp);
return strtold (buf, NULL);
}
return NAN;
}
weak_alias (__nanl, nanl)
@@ -53,7 +53,7 @@ local genericSources =
s_csqrt.c s_csqrtf.c #s_csqrtl.c s_csqrt.c s_csqrtf.c #s_csqrtl.c
s_ctan.c s_ctanf.c #s_ctanl.c s_ctan.c s_ctanf.c #s_ctanl.c
s_ctanh.c s_ctanhf.c #s_ctanhl.c s_ctanh.c s_ctanhf.c #s_ctanhl.c
s_erf.c s_erff.c # s_erfl.c s_erf.c s_erff.c s_erfl.c
s_fpclassify.c s_fpclassifyf.c # s_fpclassifyl.c s_fpclassify.c s_fpclassifyf.c # s_fpclassifyl.c
s_isinf.c s_isinff.c s_isinf.c s_isinff.c
s_isnan.c s_isnanf.c s_isnan.c s_isnanf.c
@@ -62,7 +62,7 @@ local genericSources =
s_lround.c s_lroundf.c s_lroundl.c s_lround.c s_lroundf.c s_lroundl.c
s_matherr.c s_matherr.c
s_modf.c s_modff.c # s_modfl.c s_modf.c s_modff.c # s_modfl.c
s_nan.c s_nanf.c s_nan.c s_nanf.c s_nanl.c
s_nextafter.c s_nextafterf.c s_nextafter.c s_nextafterf.c
s_nexttowardl.c s_nexttowardl.c
s_signbit.c s_signbitf.c s_signbitl.c s_signbit.c s_signbitf.c s_signbitl.c