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authorRoland McGrath <roland@gnu.org>1996-06-07 21:18:34 +0000
committerRoland McGrath <roland@gnu.org>1996-06-07 21:18:34 +0000
commitbf668fc8f06ccba22b4927fba337efdabbe06ac1 (patch)
tree0802b22479d466bedf33fe16531f69b73fa67c38 /sysdeps/generic/log.c
parent6f3e22dc48834c1f9633fee843647800cc2d6b79 (diff)
downloadglibc-bf668fc8f06ccba22b4927fba337efdabbe06ac1.tar.gz
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glibc-bf668fc8f06ccba22b4927fba337efdabbe06ac1.zip
Fri Jun 7 16:48:13 1996 Roland McGrath <roland@delasyd.gnu.ai.mit.edu>
	* sysdeps/unix/sysv/linux/i386/Dist: New file, list sys/perm.h and
	sys/vm86.h.

	Removed old math code no longer used since the fdlibm integration.
	* sysdeps/stub/acos.c: File removed.
	* sysdeps/stub/asin.c: File removed.
	* sysdeps/stub/atan2.c: File removed.
	* sysdeps/stub/cosh.c: File removed.
	* sysdeps/stub/exp.c: File removed.
	* sysdeps/stub/fmod.c: File removed.
	* sysdeps/stub/frexp.c: File removed.
	* sysdeps/stub/log.c: File removed.
	* sysdeps/stub/log10.c: File removed.
	* sysdeps/stub/sinh.c: File removed.
	* sysdeps/stub/tan.c: File removed.
	* sysdeps/stub/tanh.c: File removed.
	* sysdeps/generic/acos.c: File removed.
	* sysdeps/generic/acosh.c: File removed.
	* sysdeps/generic/asin.c: File removed.
	* sysdeps/generic/asinh.c: File removed.
	* sysdeps/generic/atan.c: File removed.
	* sysdeps/generic/atan2.c: File removed.
	* sysdeps/generic/atanh.c: File removed.
	* sysdeps/generic/cabs.c: File removed.
	* sysdeps/generic/ceil.c: File removed.
	* sysdeps/generic/copysign.c: File removed.
	* sysdeps/generic/cosh.c: File removed.
	* sysdeps/generic/exp.c: File removed.
	* sysdeps/generic/expm1.c: File removed.
	* sysdeps/generic/fabs.c: File removed.
	* sysdeps/generic/floor.c: File removed.
	* sysdeps/generic/fmod.c: File removed.
	* sysdeps/generic/frexp.c: File removed.
	* sysdeps/generic/hypot.c: File removed.
	* sysdeps/generic/infnan.c: File removed.
	* sysdeps/generic/isnan.c: File removed.
	* sysdeps/generic/ldexp.c: File removed.
	* sysdeps/generic/log.c: File removed.
	* sysdeps/generic/log10.c: File removed.
	* sysdeps/generic/log1p.c: File removed.
	* sysdeps/generic/modf.c: File removed.
	* sysdeps/generic/pow.c: File removed.
	* sysdeps/generic/rint.c: File removed.
	* sysdeps/generic/sinh.c: File removed.
	* sysdeps/generic/tan.c: File removed.
	* sysdeps/generic/tanh.c: File removed.
	* sysdeps/ieee754/cabs.c: File removed.
	* sysdeps/ieee754/copysign.c: File removed.
	* sysdeps/ieee754/frexp.c: File removed.
	* sysdeps/ieee754/hypot.c: File removed.
	* sysdeps/ieee754/infnan.c: File removed.
	* sysdeps/ieee754/ldexp.c: File removed.
	* sysdeps/ieee754/log10.c: File removed.

	* posix/Makefile (headers): Add schedbits.h.

	* math/Makefile (elided-routines): Add long double routines.

Fri Jun  7 09:11:17 1996  Roland McGrath  <roland@delasyd.gnu.ai.mit.edu>

	* sysdeps/unix/sysv/linux/Dist: Add sys/sysinfo.h, sys/mount.h,
	sys/kdaemon.h, sys/io.h, sys/mount.h, sysctl.c.

	* gmon/Makefile (distribute): Add profil-counter.h.

	* sysdeps/unix/sysv/linux/alpha/Dist: New file.

	* sysdeps/unix/Dist: Add s-proto.S.

	* sysdeps/unix/common/mk-local_lim.c: Obsolete file removed.

	* Make-dist (+sysdep-tsrcs): Get all syscalls.list files too.

	* csu/Makefile (distribute): Add start.c.

	* elf/Makefile (distribute): Add dl-machine.h.

	* sysdeps/alpha/Dist: Add _mcount.S.

	* sysdeps/alpha/Makefile (sysdep_routines): Append instead of
	resetting; don't add bb_init_func.

	* string/Makefile (routines): Add strerror_r.
	* string/string.h (strerror_r): Use int for BUFLEN arg.

	* Makefile (distribute): Add shlib-versions.

	* po/Makefile (distribute): Add SYS_libc.pot.

	* misc/Makefile (routines): Add lsearch.

	* manual/lang.texi (Consistency Checking): Merge in assert_perror defn
	and other changes inadvertently made to the obsolete assert.texi.
	* manual/assert.texi: File removed.

	* mach/mach_syscalls.c: Obsolete file removed.
	* mach/mach_syscalls.h: Likewise.
	* mach/mach_traps.S: Likewise.
	* mach/msg_destroy.c: Likewise.
	* mach/vm_page_size.c: Likewise.

	* locale/Makefile (distribute): Add weight.h, charset.h.

	* Makefile (distribute): Add version.h.

	* hurd/Makefile (headers): Add hurd/ioctl.h.
	(distribute): Add intr-rpc.d, intr-rpc.h, faultexc.defs.

	* csu/Makefile (distribute): Add gmon-start.c.

	* Makefile (distribute): Add config.h.in.

	sysdeps/m68k/fpu/e_atanhl.c, sysdeps/m68k/fpu/e_coshl.c: New files.
Diffstat (limited to 'sysdeps/generic/log.c')
-rw-r--r--sysdeps/generic/log.c486
1 files changed, 0 insertions, 486 deletions
diff --git a/sysdeps/generic/log.c b/sysdeps/generic/log.c
deleted file mode 100644
index ae186722f8..0000000000
--- a/sysdeps/generic/log.c
+++ /dev/null
@@ -1,486 +0,0 @@
-/*
- * Copyright (c) 1992, 1993
- *	The Regents of the University of California.  All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- * 1. Redistributions of source code must retain the above copyright
- *    notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- *    notice, this list of conditions and the following disclaimer in the
- *    documentation and/or other materials provided with the distribution.
- * 3. All advertising materials mentioning features or use of this software
- *    must display the following acknowledgement:
- *	This product includes software developed by the University of
- *	California, Berkeley and its contributors.
- * 4. Neither the name of the University nor the names of its contributors
- *    may be used to endorse or promote products derived from this software
- *    without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
- * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
- * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
- * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
- * SUCH DAMAGE.
- */
-
-#ifndef lint
-static char sccsid[] = "@(#)log.c	8.2 (Berkeley) 11/30/93";
-#endif /* not lint */
-
-#include <math.h>
-#include <errno.h>
-
-#include "mathimpl.h"
-
-/* Table-driven natural logarithm.
- *
- * This code was derived, with minor modifications, from:
- *	Peter Tang, "Table-Driven Implementation of the
- *	Logarithm in IEEE Floating-Point arithmetic." ACM Trans.
- *	Math Software, vol 16. no 4, pp 378-400, Dec 1990).
- *
- * Calculates log(2^m*F*(1+f/F)), |f/j| <= 1/256,
- * where F = j/128 for j an integer in [0, 128].
- *
- * log(2^m) = log2_hi*m + log2_tail*m
- * since m is an integer, the dominant term is exact.
- * m has at most 10 digits (for subnormal numbers),
- * and log2_hi has 11 trailing zero bits.
- *
- * log(F) = logF_hi[j] + logF_lo[j] is in tabular form in log_table.h
- * logF_hi[] + 512 is exact.
- *
- * log(1+f/F) = 2*f/(2*F + f) + 1/12 * (2*f/(2*F + f))**3 + ...
- * the leading term is calculated to extra precision in two
- * parts, the larger of which adds exactly to the dominant
- * m and F terms.
- * There are two cases:
- *	1. when m, j are non-zero (m | j), use absolute
- *	   precision for the leading term.
- *	2. when m = j = 0, |1-x| < 1/256, and log(x) ~= (x-1).
- *	   In this case, use a relative precision of 24 bits.
- * (This is done differently in the original paper)
- *
- * Special cases:
- *	0	return signalling -Inf
- *	neg	return signalling NaN
- *	+Inf	return +Inf
-*/
-
-#if defined(vax) || defined(tahoe)
-#define _IEEE		0
-#define TRUNC(x)	x = (double) (float) (x)
-#else
-#define _IEEE		1
-#define endian		(((*(int *) &one)) ? 1 : 0)
-#define TRUNC(x)	*(((int *) &x) + endian) &= 0xf8000000
-#define infnan(x)	0.0
-#endif
-
-#define N 128
-
-/* Table of log(Fj) = logF_head[j] + logF_tail[j], for Fj = 1+j/128.
- * Used for generation of extend precision logarithms.
- * The constant 35184372088832 is 2^45, so the divide is exact.
- * It ensures correct reading of logF_head, even for inaccurate
- * decimal-to-binary conversion routines.  (Everybody gets the
- * right answer for integers less than 2^53.)
- * Values for log(F) were generated using error < 10^-57 absolute
- * with the bc -l package.
-*/
-static double	A1 = 	  .08333333333333178827;
-static double	A2 = 	  .01250000000377174923;
-static double	A3 =	 .002232139987919447809;
-static double	A4 =	.0004348877777076145742;
-
-static double logF_head[N+1] = {
-	0.,
-	.007782140442060381246,
-	.015504186535963526694,
-	.023167059281547608406,
-	.030771658666765233647,
-	.038318864302141264488,
-	.045809536031242714670,
-	.053244514518837604555,
-	.060624621816486978786,
-	.067950661908525944454,
-	.075223421237524235039,
-	.082443669210988446138,
-	.089612158689760690322,
-	.096729626458454731618,
-	.103796793681567578460,
-	.110814366340264314203,
-	.117783035656430001836,
-	.124703478501032805070,
-	.131576357788617315236,
-	.138402322859292326029,
-	.145182009844575077295,
-	.151916042025732167530,
-	.158605030176659056451,
-	.165249572895390883786,
-	.171850256926518341060,
-	.178407657472689606947,
-	.184922338493834104156,
-	.191394852999565046047,
-	.197825743329758552135,
-	.204215541428766300668,
-	.210564769107350002741,
-	.216873938300523150246,
-	.223143551314024080056,
-	.229374101064877322642,
-	.235566071312860003672,
-	.241719936886966024758,
-	.247836163904594286577,
-	.253915209980732470285,
-	.259957524436686071567,
-	.265963548496984003577,
-	.271933715484010463114,
-	.277868451003087102435,
-	.283768173130738432519,
-	.289633292582948342896,
-	.295464212893421063199,
-	.301261330578199704177,
-	.307025035294827830512,
-	.312755710004239517729,
-	.318453731118097493890,
-	.324119468654316733591,
-	.329753286372579168528,
-	.335355541920762334484,
-	.340926586970454081892,
-	.346466767346100823488,
-	.351976423156884266063,
-	.357455888922231679316,
-	.362905493689140712376,
-	.368325561158599157352,
-	.373716409793814818840,
-	.379078352934811846353,
-	.384411698910298582632,
-	.389716751140440464951,
-	.394993808240542421117,
-	.400243164127459749579,
-	.405465108107819105498,
-	.410659924985338875558,
-	.415827895143593195825,
-	.420969294644237379543,
-	.426084395310681429691,
-	.431173464818130014464,
-	.436236766774527495726,
-	.441274560805140936281,
-	.446287102628048160113,
-	.451274644139630254358,
-	.456237433481874177232,
-	.461175715122408291790,
-	.466089729924533457960,
-	.470979715219073113985,
-	.475845904869856894947,
-	.480688529345570714212,
-	.485507815781602403149,
-	.490303988045525329653,
-	.495077266798034543171,
-	.499827869556611403822,
-	.504556010751912253908,
-	.509261901790523552335,
-	.513945751101346104405,
-	.518607764208354637958,
-	.523248143765158602036,
-	.527867089620485785417,
-	.532464798869114019908,
-	.537041465897345915436,
-	.541597282432121573947,
-	.546132437597407260909,
-	.550647117952394182793,
-	.555141507540611200965,
-	.559615787935399566777,
-	.564070138285387656651,
-	.568504735352689749561,
-	.572919753562018740922,
-	.577315365035246941260,
-	.581691739635061821900,
-	.586049045003164792433,
-	.590387446602107957005,
-	.594707107746216934174,
-	.599008189645246602594,
-	.603290851438941899687,
-	.607555250224322662688,
-	.611801541106615331955,
-	.616029877215623855590,
-	.620240409751204424537,
-	.624433288012369303032,
-	.628608659422752680256,
-	.632766669570628437213,
-	.636907462236194987781,
-	.641031179420679109171,
-	.645137961373620782978,
-	.649227946625615004450,
-	.653301272011958644725,
-	.657358072709030238911,
-	.661398482245203922502,
-	.665422632544505177065,
-	.669430653942981734871,
-	.673422675212350441142,
-	.677398823590920073911,
-	.681359224807238206267,
-	.685304003098281100392,
-	.689233281238557538017,
-	.693147180560117703862
-};
-
-static double logF_tail[N+1] = {
-	0.,
-	-.00000000000000543229938420049,
-	 .00000000000000172745674997061,
-	-.00000000000001323017818229233,
-	-.00000000000001154527628289872,
-	-.00000000000000466529469958300,
-	 .00000000000005148849572685810,
-	-.00000000000002532168943117445,
-	-.00000000000005213620639136504,
-	-.00000000000001819506003016881,
-	 .00000000000006329065958724544,
-	 .00000000000008614512936087814,
-	-.00000000000007355770219435028,
-	 .00000000000009638067658552277,
-	 .00000000000007598636597194141,
-	 .00000000000002579999128306990,
-	-.00000000000004654729747598444,
-	-.00000000000007556920687451336,
-	 .00000000000010195735223708472,
-	-.00000000000017319034406422306,
-	-.00000000000007718001336828098,
-	 .00000000000010980754099855238,
-	-.00000000000002047235780046195,
-	-.00000000000008372091099235912,
-	 .00000000000014088127937111135,
-	 .00000000000012869017157588257,
-	 .00000000000017788850778198106,
-	 .00000000000006440856150696891,
-	 .00000000000016132822667240822,
-	-.00000000000007540916511956188,
-	-.00000000000000036507188831790,
-	 .00000000000009120937249914984,
-	 .00000000000018567570959796010,
-	-.00000000000003149265065191483,
-	-.00000000000009309459495196889,
-	 .00000000000017914338601329117,
-	-.00000000000001302979717330866,
-	 .00000000000023097385217586939,
-	 .00000000000023999540484211737,
-	 .00000000000015393776174455408,
-	-.00000000000036870428315837678,
-	 .00000000000036920375082080089,
-	-.00000000000009383417223663699,
-	 .00000000000009433398189512690,
-	 .00000000000041481318704258568,
-	-.00000000000003792316480209314,
-	 .00000000000008403156304792424,
-	-.00000000000034262934348285429,
-	 .00000000000043712191957429145,
-	-.00000000000010475750058776541,
-	-.00000000000011118671389559323,
-	 .00000000000037549577257259853,
-	 .00000000000013912841212197565,
-	 .00000000000010775743037572640,
-	 .00000000000029391859187648000,
-	-.00000000000042790509060060774,
-	 .00000000000022774076114039555,
-	 .00000000000010849569622967912,
-	-.00000000000023073801945705758,
-	 .00000000000015761203773969435,
-	 .00000000000003345710269544082,
-	-.00000000000041525158063436123,
-	 .00000000000032655698896907146,
-	-.00000000000044704265010452446,
-	 .00000000000034527647952039772,
-	-.00000000000007048962392109746,
-	 .00000000000011776978751369214,
-	-.00000000000010774341461609578,
-	 .00000000000021863343293215910,
-	 .00000000000024132639491333131,
-	 .00000000000039057462209830700,
-	-.00000000000026570679203560751,
-	 .00000000000037135141919592021,
-	-.00000000000017166921336082431,
-	-.00000000000028658285157914353,
-	-.00000000000023812542263446809,
-	 .00000000000006576659768580062,
-	-.00000000000028210143846181267,
-	 .00000000000010701931762114254,
-	 .00000000000018119346366441110,
-	 .00000000000009840465278232627,
-	-.00000000000033149150282752542,
-	-.00000000000018302857356041668,
-	-.00000000000016207400156744949,
-	 .00000000000048303314949553201,
-	-.00000000000071560553172382115,
-	 .00000000000088821239518571855,
-	-.00000000000030900580513238244,
-	-.00000000000061076551972851496,
-	 .00000000000035659969663347830,
-	 .00000000000035782396591276383,
-	-.00000000000046226087001544578,
-	 .00000000000062279762917225156,
-	 .00000000000072838947272065741,
-	 .00000000000026809646615211673,
-	-.00000000000010960825046059278,
-	 .00000000000002311949383800537,
-	-.00000000000058469058005299247,
-	-.00000000000002103748251144494,
-	-.00000000000023323182945587408,
-	-.00000000000042333694288141916,
-	-.00000000000043933937969737844,
-	 .00000000000041341647073835565,
-	 .00000000000006841763641591466,
-	 .00000000000047585534004430641,
-	 .00000000000083679678674757695,
-	-.00000000000085763734646658640,
-	 .00000000000021913281229340092,
-	-.00000000000062242842536431148,
-	-.00000000000010983594325438430,
-	 .00000000000065310431377633651,
-	-.00000000000047580199021710769,
-	-.00000000000037854251265457040,
-	 .00000000000040939233218678664,
-	 .00000000000087424383914858291,
-	 .00000000000025218188456842882,
-	-.00000000000003608131360422557,
-	-.00000000000050518555924280902,
-	 .00000000000078699403323355317,
-	-.00000000000067020876961949060,
-	 .00000000000016108575753932458,
-	 .00000000000058527188436251509,
-	-.00000000000035246757297904791,
-	-.00000000000018372084495629058,
-	 .00000000000088606689813494916,
-	 .00000000000066486268071468700,
-	 .00000000000063831615170646519,
-	 .00000000000025144230728376072,
-	-.00000000000017239444525614834
-};
-
-double
-#ifdef _ANSI_SOURCE
-log(double x)
-#else
-log(x) double x;
-#endif
-{
-	int m, j;
-	double F, f, g, q, u, u2, v, zero = 0.0, one = 1.0;
-	volatile double u1;
-
-	/* Catch special cases */
-	if (x <= 0)
-		if (_IEEE && x == zero)	/* log(0) = -Inf */
-			return (-one/zero);
-		else if (_IEEE)		/* log(neg) = NaN */
-			return (zero/zero);
-		else if (x == zero)	/* NOT REACHED IF _IEEE */
-			return (infnan(-ERANGE));
-		else
-			return (infnan(EDOM));
-	else if (!finite(x))
-		if (_IEEE)		/* x = NaN, Inf */
-			return (x+x);
-		else
-			return (infnan(ERANGE));
-	
-	/* Argument reduction: 1 <= g < 2; x/2^m = g;	*/
-	/* y = F*(1 + f/F) for |f| <= 2^-8		*/
-
-	m = logb(x);
-	g = ldexp(x, -m);
-	if (_IEEE && m == -1022) {
-		j = logb(g), m += j;
-		g = ldexp(g, -j);
-	}
-	j = N*(g-1) + .5;
-	F = (1.0/N) * j + 1;	/* F*128 is an integer in [128, 512] */
-	f = g - F;
-
-	/* Approximate expansion for log(1+f/F) ~= u + q */
-	g = 1/(2*F+f);
-	u = 2*f*g;
-	v = u*u;
-	q = u*v*(A1 + v*(A2 + v*(A3 + v*A4)));
-
-    /* case 1: u1 = u rounded to 2^-43 absolute.  Since u < 2^-8,
-     * 	       u1 has at most 35 bits, and F*u1 is exact, as F has < 8 bits.
-     *         It also adds exactly to |m*log2_hi + log_F_head[j] | < 750
-    */
-	if (m | j)
-		u1 = u + 513, u1 -= 513;
-
-    /* case 2:	|1-x| < 1/256. The m- and j- dependent terms are zero;
-     * 		u1 = u to 24 bits.
-    */
-	else
-		u1 = u, TRUNC(u1);
-	u2 = (2.0*(f - F*u1) - u1*f) * g;
-			/* u1 + u2 = 2f/(2F+f) to extra precision.	*/
-
-	/* log(x) = log(2^m*F*(1+f/F)) =				*/
-	/* (m*log2_hi+logF_head[j]+u1) + (m*log2_lo+logF_tail[j]+q);	*/
-	/* (exact) + (tiny)						*/
-
-	u1 += m*logF_head[N] + logF_head[j];		/* exact */
-	u2 = (u2 + logF_tail[j]) + q;			/* tiny */
-	u2 += logF_tail[N]*m;
-	return (u1 + u2);
-}
-
-/*
- * Extra precision variant, returning struct {double a, b;};
- * log(x) = a+b to 63 bits, with a is rounded to 26 bits.
- */
-struct Double
-#ifdef _ANSI_SOURCE
-__log__D(double x)
-#else
-__log__D(x) double x;
-#endif
-{
-	int m, j;
-	double F, f, g, q, u, v, u2, one = 1.0;
-	volatile double u1;
-	struct Double r;
-
-	/* Argument reduction: 1 <= g < 2; x/2^m = g;	*/
-	/* y = F*(1 + f/F) for |f| <= 2^-8		*/
-
-	m = logb(x);
-	g = ldexp(x, -m);
-	if (_IEEE && m == -1022) {
-		j = logb(g), m += j;
-		g = ldexp(g, -j);
-	}
-	j = N*(g-1) + .5;
-	F = (1.0/N) * j + 1;
-	f = g - F;
-
-	g = 1/(2*F+f);
-	u = 2*f*g;
-	v = u*u;
-	q = u*v*(A1 + v*(A2 + v*(A3 + v*A4)));
-	if (m | j)
-		u1 = u + 513, u1 -= 513;
-	else
-		u1 = u, TRUNC(u1);
-	u2 = (2.0*(f - F*u1) - u1*f) * g;
-
-	u1 += m*logF_head[N] + logF_head[j];
-
-	u2 +=  logF_tail[j]; u2 += q;
-	u2 += logF_tail[N]*m;
-	r.a = u1 + u2;			/* Only difference is here */
-	TRUNC(r.a);
-	r.b = (u1 - r.a) + u2;
-	return (r);
-}