diff options
Diffstat (limited to 'sysdeps')
50 files changed, 1 insertions, 4188 deletions
diff --git a/sysdeps/generic/acos.c b/sysdeps/generic/acos.c deleted file mode 100644 index c77c9faf1f..0000000000 --- a/sysdeps/generic/acos.c +++ /dev/null @@ -1,42 +0,0 @@ -/* Copyright (C) 1991 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Return the inverse cosine of X. */ -double -DEFUN(acos, (x), double x) -{ - double t; - - if (__isnan(x)) - { - errno = EDOM; - return x; - } - - if (x == -1.0) - /* If X is -1, the general formula blows up (zero divided by zero loses), - but we know that acos(-1) = pi. */ - t = atan2(1.0, 0.0); - else - t = atan2(sqrt((1.0 - x) / (1.0 + x)), 1.0); - return t + t; -} diff --git a/sysdeps/generic/acosh.c b/sysdeps/generic/acosh.c deleted file mode 100644 index bc16cc7b46..0000000000 --- a/sysdeps/generic/acosh.c +++ /dev/null @@ -1,102 +0,0 @@ -/* - * Copyright (c) 1985, 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[] = "@(#)acosh.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -/* ACOSH(X) - * RETURN THE INVERSE HYPERBOLIC COSINE OF X - * DOUBLE PRECISION (VAX D FORMAT 56 BITS, IEEE DOUBLE 53 BITS) - * CODED IN C BY K.C. NG, 2/16/85; - * REVISED BY K.C. NG on 3/6/85, 3/24/85, 4/16/85, 8/17/85. - * - * Required system supported functions : - * sqrt(x) - * - * Required kernel function: - * log1p(x) ...return log(1+x) - * - * Method : - * Based on - * acosh(x) = log [ x + sqrt(x*x-1) ] - * we have - * acosh(x) := log1p(x)+ln2, if (x > 1.0E20); else - * acosh(x) := log1p( sqrt(x-1) * (sqrt(x-1) + sqrt(x+1)) ) . - * These formulae avoid the over/underflow complication. - * - * Special cases: - * acosh(x) is NaN with signal if x<1. - * acosh(NaN) is NaN without signal. - * - * Accuracy: - * acosh(x) returns the exact inverse hyperbolic cosine of x nearly - * rounded. In a test run with 512,000 random arguments on a VAX, the - * maximum observed error was 3.30 ulps (units of the last place) at - * x=1.0070493753568216 . - * - * Constants: - * The hexadecimal values are the intended ones for the following constants. - * The decimal values may be used, provided that the compiler will convert - * from decimal to binary accurately enough to produce the hexadecimal values - * shown. - */ - -#include "mathimpl.h" - -vc(ln2hi, 6.9314718055829871446E-1 ,7217,4031,0000,f7d0, 0, .B17217F7D00000) -vc(ln2lo, 1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC) - -ic(ln2hi, 6.9314718036912381649E-1, -1, 1.62E42FEE00000) -ic(ln2lo, 1.9082149292705877000E-10,-33, 1.A39EF35793C76) - -#ifdef vccast -#define ln2hi vccast(ln2hi) -#define ln2lo vccast(ln2lo) -#endif - -double acosh(x) -double x; -{ - double t,big=1.E20; /* big+1==big */ - -#if !defined(vax)&&!defined(tahoe) - if(x!=x) return(x); /* x is NaN */ -#endif /* !defined(vax)&&!defined(tahoe) */ - - /* return log1p(x) + log(2) if x is large */ - if(x>big) {t=log1p(x)+ln2lo; return(t+ln2hi);} - - t=sqrt(x-1.0); - return(log1p(t*(t+sqrt(x+1.0)))); -} diff --git a/sysdeps/generic/asin.c b/sysdeps/generic/asin.c deleted file mode 100644 index e75ee3d87e..0000000000 --- a/sysdeps/generic/asin.c +++ /dev/null @@ -1,44 +0,0 @@ -/* Copyright (C) 1991 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Return the inverse sine of X. */ -double -DEFUN(asin, (x), double x) -{ - double abs_x; - - if (__isnan(x)) - { - errno = EDOM; - return x; - } - - abs_x = fabs(x); - - if (abs_x <= 0.5) - return atan2(x, sqrt(1.0 - (x * x))); - else - { - double t = 1.0 - abs_x; - return atan2(x, sqrt((t + t) - (t * t))); - } -} diff --git a/sysdeps/generic/asinh.c b/sysdeps/generic/asinh.c deleted file mode 100644 index 5db8d2ddf7..0000000000 --- a/sysdeps/generic/asinh.c +++ /dev/null @@ -1,101 +0,0 @@ -/* - * Copyright (c) 1985, 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[] = "@(#)asinh.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -/* ASINH(X) - * RETURN THE INVERSE HYPERBOLIC SINE OF X - * DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS) - * CODED IN C BY K.C. NG, 2/16/85; - * REVISED BY K.C. NG on 3/7/85, 3/24/85, 4/16/85. - * - * Required system supported functions : - * copysign(x,y) - * sqrt(x) - * - * Required kernel function: - * log1p(x) ...return log(1+x) - * - * Method : - * Based on - * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] - * we have - * asinh(x) := x if 1+x*x=1, - * := sign(x)*(log1p(x)+ln2)) if sqrt(1+x*x)=x, else - * := sign(x)*log1p(|x| + |x|/(1/|x| + sqrt(1+(1/|x|)^2)) ) - * - * Accuracy: - * asinh(x) returns the exact inverse hyperbolic sine of x nearly rounded. - * In a test run with 52,000 random arguments on a VAX, the maximum - * observed error was 1.58 ulps (units in the last place). - * - * Constants: - * The hexadecimal values are the intended ones for the following constants. - * The decimal values may be used, provided that the compiler will convert - * from decimal to binary accurately enough to produce the hexadecimal values - * shown. - */ -#include "mathimpl.h" - -vc(ln2hi, 6.9314718055829871446E-1 ,7217,4031,0000,f7d0, 0, .B17217F7D00000) -vc(ln2lo, 1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC) - -ic(ln2hi, 6.9314718036912381649E-1, -1, 1.62E42FEE00000) -ic(ln2lo, 1.9082149292705877000E-10, -33, 1.A39EF35793C76) - -#ifdef vccast -#define ln2hi vccast(ln2hi) -#define ln2lo vccast(ln2lo) -#endif - -double asinh(x) -double x; -{ - double t,s; - const static double small=1.0E-10, /* fl(1+small*small) == 1 */ - big =1.0E20, /* fl(1+big) == big */ - one =1.0 ; - -#if !defined(vax)&&!defined(tahoe) - if(x!=x) return(x); /* x is NaN */ -#endif /* !defined(vax)&&!defined(tahoe) */ - if((t=copysign(x,one))>small) - if(t<big) { - s=one/t; return(copysign(log1p(t+t/(s+sqrt(one+s*s))),x)); } - else /* if |x| > big */ - {s=log1p(t)+ln2lo; return(copysign(s+ln2hi,x));} - else /* if |x| < small */ - return(x); -} diff --git a/sysdeps/generic/atan.c b/sysdeps/generic/atan.c deleted file mode 100644 index f2cc693924..0000000000 --- a/sysdeps/generic/atan.c +++ /dev/null @@ -1,27 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <math.h> - -/* Return the inverse tangent of X. */ -double -DEFUN(atan, (x), register double x) -{ - return atan2(x, 1.0); -} diff --git a/sysdeps/generic/atan2.c b/sysdeps/generic/atan2.c deleted file mode 100644 index 958a154726..0000000000 --- a/sysdeps/generic/atan2.c +++ /dev/null @@ -1,281 +0,0 @@ -/* - * Copyright (c) 1985, 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[] = "@(#)atan2.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -/* ATAN2(Y,X) - * RETURN ARG (X+iY) - * DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS) - * CODED IN C BY K.C. NG, 1/8/85; - * REVISED BY K.C. NG on 2/7/85, 2/13/85, 3/7/85, 3/30/85, 6/29/85. - * - * Required system supported functions : - * copysign(x,y) - * scalb(x,y) - * logb(x) - * - * Method : - * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x). - * 2. Reduce x to positive by (if x and y are unexceptional): - * ARG (x+iy) = arctan(y/x) ... if x > 0, - * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, - * 3. According to the integer k=4t+0.25 truncated , t=y/x, the argument - * is further reduced to one of the following intervals and the - * arctangent of y/x is evaluated by the corresponding formula: - * - * [0,7/16] atan(y/x) = t - t^3*(a1+t^2*(a2+...(a10+t^2*a11)...) - * [7/16,11/16] atan(y/x) = atan(1/2) + atan( (y-x/2)/(x+y/2) ) - * [11/16.19/16] atan(y/x) = atan( 1 ) + atan( (y-x)/(x+y) ) - * [19/16,39/16] atan(y/x) = atan(3/2) + atan( (y-1.5x)/(x+1.5y) ) - * [39/16,INF] atan(y/x) = atan(INF) + atan( -x/y ) - * - * Special cases: - * Notations: atan2(y,x) == ARG (x+iy) == ARG(x,y). - * - * ARG( NAN , (anything) ) is NaN; - * ARG( (anything), NaN ) is NaN; - * ARG(+(anything but NaN), +-0) is +-0 ; - * ARG(-(anything but NaN), +-0) is +-PI ; - * ARG( 0, +-(anything but 0 and NaN) ) is +-PI/2; - * ARG( +INF,+-(anything but INF and NaN) ) is +-0 ; - * ARG( -INF,+-(anything but INF and NaN) ) is +-PI; - * ARG( +INF,+-INF ) is +-PI/4 ; - * ARG( -INF,+-INF ) is +-3PI/4; - * ARG( (anything but,0,NaN, and INF),+-INF ) is +-PI/2; - * - * Accuracy: - * atan2(y,x) returns (PI/pi) * the exact ARG (x+iy) nearly rounded, - * where - * - * in decimal: - * pi = 3.141592653589793 23846264338327 ..... - * 53 bits PI = 3.141592653589793 115997963 ..... , - * 56 bits PI = 3.141592653589793 227020265 ..... , - * - * in hexadecimal: - * pi = 3.243F6A8885A308D313198A2E.... - * 53 bits PI = 3.243F6A8885A30 = 2 * 1.921FB54442D18 error=.276ulps - * 56 bits PI = 3.243F6A8885A308 = 4 * .C90FDAA22168C2 error=.206ulps - * - * In a test run with 356,000 random argument on [-1,1] * [-1,1] on a - * VAX, the maximum observed error was 1.41 ulps (units of the last place) - * compared with (PI/pi)*(the exact ARG(x+iy)). - * - * Note: - * We use machine PI (the true pi rounded) in place of the actual - * value of pi for all the trig and inverse trig functions. In general, - * if trig is one of sin, cos, tan, then computed trig(y) returns the - * exact trig(y*pi/PI) nearly rounded; correspondingly, computed arctrig - * returns the exact arctrig(y)*PI/pi nearly rounded. These guarantee the - * trig functions have period PI, and trig(arctrig(x)) returns x for - * all critical values x. - * - * Constants: - * The hexadecimal values are the intended ones for the following constants. - * The decimal values may be used, provided that the compiler will convert - * from decimal to binary accurately enough to produce the hexadecimal values - * shown. - */ - -#include "mathimpl.h" - -vc(athfhi, 4.6364760900080611433E-1 ,6338,3fed,da7b,2b0d, -1, .ED63382B0DDA7B) -vc(athflo, 1.9338828231967579916E-19 ,5005,2164,92c0,9cfe, -62, .E450059CFE92C0) -vc(PIo4, 7.8539816339744830676E-1 ,0fda,4049,68c2,a221, 0, .C90FDAA22168C2) -vc(at1fhi, 9.8279372324732906796E-1 ,985e,407b,b4d9,940f, 0, .FB985E940FB4D9) -vc(at1flo,-3.5540295636764633916E-18 ,1edc,a383,eaea,34d6, -57,-.831EDC34D6EAEA) -vc(PIo2, 1.5707963267948966135E0 ,0fda,40c9,68c2,a221, 1, .C90FDAA22168C2) -vc(PI, 3.1415926535897932270E0 ,0fda,4149,68c2,a221, 2, .C90FDAA22168C2) -vc(a1, 3.3333333333333473730E-1 ,aaaa,3faa,ab75,aaaa, -1, .AAAAAAAAAAAB75) -vc(a2, -2.0000000000017730678E-1 ,cccc,bf4c,946e,cccd, -2,-.CCCCCCCCCD946E) -vc(a3, 1.4285714286694640301E-1 ,4924,3f12,4262,9274, -2, .92492492744262) -vc(a4, -1.1111111135032672795E-1 ,8e38,bee3,6292,ebc6, -3,-.E38E38EBC66292) -vc(a5, 9.0909091380563043783E-2 ,2e8b,3eba,d70c,b31b, -3, .BA2E8BB31BD70C) -vc(a6, -7.6922954286089459397E-2 ,89c8,be9d,7f18,27c3, -3,-.9D89C827C37F18) -vc(a7, 6.6663180891693915586E-2 ,86b4,3e88,9e58,ae37, -3, .8886B4AE379E58) -vc(a8, -5.8772703698290408927E-2 ,bba5,be70,a942,8481, -4,-.F0BBA58481A942) -vc(a9, 5.2170707402812969804E-2 ,b0f3,3e55,13ab,a1ab, -4, .D5B0F3A1AB13AB) -vc(a10, -4.4895863157820361210E-2 ,e4b9,be37,048f,7fd1, -4,-.B7E4B97FD1048F) -vc(a11, 3.3006147437343875094E-2 ,3174,3e07,2d87,3cf7, -4, .8731743CF72D87) -vc(a12, -1.4614844866464185439E-2 ,731a,bd6f,76d9,2f34, -6,-.EF731A2F3476D9) - -ic(athfhi, 4.6364760900080609352E-1 , -2, 1.DAC670561BB4F) -ic(athflo, 4.6249969567426939759E-18 , -58, 1.5543B8F253271) -ic(PIo4, 7.8539816339744827900E-1 , -1, 1.921FB54442D18) -ic(at1fhi, 9.8279372324732905408E-1 , -1, 1.F730BD281F69B) -ic(at1flo,-2.4407677060164810007E-17 , -56, -1.C23DFEFEAE6B5) -ic(PIo2, 1.5707963267948965580E0 , 0, 1.921FB54442D18) -ic(PI, 3.1415926535897931160E0 , 1, 1.921FB54442D18) -ic(a1, 3.3333333333333942106E-1 , -2, 1.55555555555C3) -ic(a2, -1.9999999999979536924E-1 , -3, -1.9999999997CCD) -ic(a3, 1.4285714278004377209E-1 , -3, 1.24924921EC1D7) -ic(a4, -1.1111110579344973814E-1 , -4, -1.C71C7059AF280) -ic(a5, 9.0908906105474668324E-2 , -4, 1.745CE5AA35DB2) -ic(a6, -7.6919217767468239799E-2 , -4, -1.3B0FA54BEC400) -ic(a7, 6.6614695906082474486E-2 , -4, 1.10DA924597FFF) -ic(a8, -5.8358371008508623523E-2 , -5, -1.DE125FDDBD793) -ic(a9, 4.9850617156082015213E-2 , -5, 1.9860524BDD807) -ic(a10, -3.6700606902093604877E-2 , -5, -1.2CA6C04C6937A) -ic(a11, 1.6438029044759730479E-2 , -6, 1.0D52174A1BB54) - -#ifdef vccast -#define athfhi vccast(athfhi) -#define athflo vccast(athflo) -#define PIo4 vccast(PIo4) -#define at1fhi vccast(at1fhi) -#define at1flo vccast(at1flo) -#define PIo2 vccast(PIo2) -#define PI vccast(PI) -#define a1 vccast(a1) -#define a2 vccast(a2) -#define a3 vccast(a3) -#define a4 vccast(a4) -#define a5 vccast(a5) -#define a6 vccast(a6) -#define a7 vccast(a7) -#define a8 vccast(a8) -#define a9 vccast(a9) -#define a10 vccast(a10) -#define a11 vccast(a11) -#define a12 vccast(a12) -#endif - -double atan2(y,x) -double y,x; -{ - static const double zero=0, one=1, small=1.0E-9, big=1.0E18; - double t,z,signy,signx,hi,lo; - int k,m; - -#if !defined(vax)&&!defined(tahoe) - /* if x or y is NAN */ - if(x!=x) return(x); if(y!=y) return(y); -#endif /* !defined(vax)&&!defined(tahoe) */ - - /* copy down the sign of y and x */ - signy = copysign(one,y) ; - signx = copysign(one,x) ; - - /* if x is 1.0, goto begin */ - if(x==1) { y=copysign(y,one); t=y; if(finite(t)) goto begin;} - - /* when y = 0 */ - if(y==zero) return((signx==one)?y:copysign(PI,signy)); - - /* when x = 0 */ - if(x==zero) return(copysign(PIo2,signy)); - - /* when x is INF */ - if(!finite(x)) - if(!finite(y)) - return(copysign((signx==one)?PIo4:3*PIo4,signy)); - else - return(copysign((signx==one)?zero:PI,signy)); - - /* when y is INF */ - if(!finite(y)) return(copysign(PIo2,signy)); - - /* compute y/x */ - x=copysign(x,one); - y=copysign(y,one); - if((m=(k=logb(y))-logb(x)) > 60) t=big+big; - else if(m < -80 ) t=y/x; - else { t = y/x ; y = scalb(y,-k); x=scalb(x,-k); } - - /* begin argument reduction */ -begin: - if (t < 2.4375) { - - /* truncate 4(t+1/16) to integer for branching */ - k = 4 * (t+0.0625); - switch (k) { - - /* t is in [0,7/16] */ - case 0: - case 1: - if (t < small) - { big + small ; /* raise inexact flag */ - return (copysign((signx>zero)?t:PI-t,signy)); } - - hi = zero; lo = zero; break; - - /* t is in [7/16,11/16] */ - case 2: - hi = athfhi; lo = athflo; - z = x+x; - t = ( (y+y) - x ) / ( z + y ); break; - - /* t is in [11/16,19/16] */ - case 3: - case 4: - hi = PIo4; lo = zero; - t = ( y - x ) / ( x + y ); break; - - /* t is in [19/16,39/16] */ - default: - hi = at1fhi; lo = at1flo; - z = y-x; y=y+y+y; t = x+x; - t = ( (z+z)-x ) / ( t + y ); break; - } - } - /* end of if (t < 2.4375) */ - - else - { - hi = PIo2; lo = zero; - - /* t is in [2.4375, big] */ - if (t <= big) t = - x / y; - - /* t is in [big, INF] */ - else - { big+small; /* raise inexact flag */ - t = zero; } - } - /* end of argument reduction */ - - /* compute atan(t) for t in [-.4375, .4375] */ - z = t*t; -#if defined(vax)||defined(tahoe) - z = t*(z*(a1+z*(a2+z*(a3+z*(a4+z*(a5+z*(a6+z*(a7+z*(a8+ - z*(a9+z*(a10+z*(a11+z*a12)))))))))))); -#else /* defined(vax)||defined(tahoe) */ - z = t*(z*(a1+z*(a2+z*(a3+z*(a4+z*(a5+z*(a6+z*(a7+z*(a8+ - z*(a9+z*(a10+z*a11))))))))))); -#endif /* defined(vax)||defined(tahoe) */ - z = lo - z; z += t; z += hi; - - return(copysign((signx>zero)?z:PI-z,signy)); -} diff --git a/sysdeps/generic/atanh.c b/sysdeps/generic/atanh.c deleted file mode 100644 index 89cb61cca2..0000000000 --- a/sysdeps/generic/atanh.c +++ /dev/null @@ -1,83 +0,0 @@ -/* - * Copyright (c) 1985, 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[] = "@(#)atanh.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -/* ATANH(X) - * RETURN THE HYPERBOLIC ARC TANGENT OF X - * DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS) - * CODED IN C BY K.C. NG, 1/8/85; - * REVISED BY K.C. NG on 2/7/85, 3/7/85, 8/18/85. - * - * Required kernel function: - * log1p(x) ...return log(1+x) - * - * Method : - * Return - * 1 2x x - * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) - * 2 1 - x 1 - x - * - * Special cases: - * atanh(x) is NaN if |x| > 1 with signal; - * atanh(NaN) is that NaN with no signal; - * atanh(+-1) is +-INF with signal. - * - * Accuracy: - * atanh(x) returns the exact hyperbolic arc tangent of x nearly rounded. - * In a test run with 512,000 random arguments on a VAX, the maximum - * observed error was 1.87 ulps (units in the last place) at - * x= -3.8962076028810414000e-03. - */ -#include "mathimpl.h" - -#if defined(vax)||defined(tahoe) -#include <errno.h> -#endif /* defined(vax)||defined(tahoe) */ - -double atanh(x) -double x; -{ - double z; - z = copysign(0.5,x); - x = copysign(x,1.0); -#if defined(vax)||defined(tahoe) - if (x == 1.0) { - return(copysign(1.0,z)*infnan(ERANGE)); /* sign(x)*INF */ - } -#endif /* defined(vax)||defined(tahoe) */ - x = x/(1.0-x); - return( z*log1p(x+x) ); -} diff --git a/sysdeps/generic/cabs.c b/sysdeps/generic/cabs.c deleted file mode 100644 index 6f4e1cd211..0000000000 --- a/sysdeps/generic/cabs.c +++ /dev/null @@ -1,26 +0,0 @@ -/* Copyright (C) 1992, 1993 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <math.h> - -double -DEFUN(cabs, (z), struct __cabs_complex z) -{ - return hypot (z.__x, z.__y); -} diff --git a/sysdeps/generic/ceil.c b/sysdeps/generic/ceil.c deleted file mode 100644 index 6b7fad3ca8..0000000000 --- a/sysdeps/generic/ceil.c +++ /dev/null @@ -1,68 +0,0 @@ -/* snarfed from BSD common_source/floor.c: - * Copyright (c) 1985 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[] = "@(#)floor.c 5.7 (Berkeley) 10/9/90"; -#endif /* not lint */ - -#include "mathimpl.h" - -vc(L, 4503599627370496.0E0 ,0000,5c00,0000,0000, 55, 1.0) /* 2**55 */ - -ic(L, 4503599627370496.0E0, 52, 1.0) /* 2**52 */ - -#ifdef vccast -#define L vccast(L) -#endif - -double -ceil(x) -double x; -{ - double y; - - if ( -#if !defined(vax)&&!defined(tahoe) - x != x || /* NaN */ -#endif /* !defined(vax)&&!defined(tahoe) */ - x >= L) /* already an even integer */ - return x; - else if (x < (double)0) - return -floor(-x); - else { /* now 0 <= x < L */ - y = L+x; /* destructive store must be forced */ - y -= L; /* an integer, and |x-y| < 1 */ - return x > y ? y+(double)1 : y; - } -} - diff --git a/sysdeps/generic/copysign.c b/sysdeps/generic/copysign.c deleted file mode 100644 index 0bd3ed9360..0000000000 --- a/sysdeps/generic/copysign.c +++ /dev/null @@ -1,30 +0,0 @@ -/* Copyright (C) 1992, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <math.h> - -/* Return X with its signed changed to Y's. */ -double -DEFUN(__copysign, (x, y), double x AND double y) -{ - x = fabs (x); - return y < 0 ? - x : x; -} - -weak_alias (__copysign, copysign) diff --git a/sysdeps/generic/cosh.c b/sysdeps/generic/cosh.c deleted file mode 100644 index e2b30731b8..0000000000 --- a/sysdeps/generic/cosh.c +++ /dev/null @@ -1,133 +0,0 @@ -/* - * Copyright (c) 1985, 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[] = "@(#)cosh.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -/* COSH(X) - * RETURN THE HYPERBOLIC COSINE OF X - * DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS) - * CODED IN C BY K.C. NG, 1/8/85; - * REVISED BY K.C. NG on 2/8/85, 2/23/85, 3/7/85, 3/29/85, 4/16/85. - * - * Required system supported functions : - * copysign(x,y) - * scalb(x,N) - * - * Required kernel function: - * exp(x) - * exp__E(x,c) ...return exp(x+c)-1-x for |x|<0.3465 - * - * Method : - * 1. Replace x by |x|. - * 2. - * [ exp(x) - 1 ]^2 - * 0 <= x <= 0.3465 : cosh(x) := 1 + ------------------- - * 2*exp(x) - * - * exp(x) + 1/exp(x) - * 0.3465 <= x <= 22 : cosh(x) := ------------------- - * 2 - * 22 <= x <= lnovfl : cosh(x) := exp(x)/2 - * lnovfl <= x <= lnovfl+log(2) - * : cosh(x) := exp(x)/2 (avoid overflow) - * log(2)+lnovfl < x < INF: overflow to INF - * - * Note: .3465 is a number near one half of ln2. - * - * Special cases: - * cosh(x) is x if x is +INF, -INF, or NaN. - * only cosh(0)=1 is exact for finite x. - * - * Accuracy: - * cosh(x) returns the exact hyperbolic cosine of x nearly rounded. - * In a test run with 768,000 random arguments on a VAX, the maximum - * observed error was 1.23 ulps (units in the last place). - * - * Constants: - * The hexadecimal values are the intended ones for the following constants. - * The decimal values may be used, provided that the compiler will convert - * from decimal to binary accurately enough to produce the hexadecimal values - * shown. - */ - -#include "mathimpl.h" - -vc(mln2hi, 8.8029691931113054792E1 ,0f33,43b0,2bdb,c7e2, 7, .B00F33C7E22BDB) -vc(mln2lo,-4.9650192275318476525E-16 ,1b60,a70f,582a,279e, -50,-.8F1B60279E582A) -vc(lnovfl, 8.8029691931113053016E1 ,0f33,43b0,2bda,c7e2, 7, .B00F33C7E22BDA) - -ic(mln2hi, 7.0978271289338397310E2, 10, 1.62E42FEFA39EF) -ic(mln2lo, 2.3747039373786107478E-14, -45, 1.ABC9E3B39803F) -ic(lnovfl, 7.0978271289338397310E2, 9, 1.62E42FEFA39EF) - -#ifdef vccast -#define mln2hi vccast(mln2hi) -#define mln2lo vccast(mln2lo) -#define lnovfl vccast(lnovfl) -#endif - -#if defined(vax)||defined(tahoe) -static max = 126 ; -#else /* defined(vax)||defined(tahoe) */ -static max = 1023 ; -#endif /* defined(vax)||defined(tahoe) */ - -double cosh(x) -double x; -{ - static const double half=1.0/2.0, - one=1.0, small=1.0E-18; /* fl(1+small)==1 */ - double t; - -#if !defined(vax)&&!defined(tahoe) - if(x!=x) return(x); /* x is NaN */ -#endif /* !defined(vax)&&!defined(tahoe) */ - if((x=copysign(x,one)) <= 22) - if(x<0.3465) - if(x<small) return(one+x); - else {t=x+__exp__E(x,0.0);x=t+t; return(one+t*t/(2.0+x)); } - - else /* for x lies in [0.3465,22] */ - { t=exp(x); return((t+one/t)*half); } - - if( lnovfl <= x && x <= (lnovfl+0.7)) - /* for x lies in [lnovfl, lnovfl+ln2], decrease x by ln(2^(max+1)) - * and return 2^max*exp(x) to avoid unnecessary overflow - */ - return(scalb(exp((x-mln2hi)-mln2lo), max)); - - else - return(exp(x)*half); /* for large x, cosh(x)=exp(x)/2 */ -} diff --git a/sysdeps/generic/exp.c b/sysdeps/generic/exp.c deleted file mode 100644 index 9b4f045f82..0000000000 --- a/sysdeps/generic/exp.c +++ /dev/null @@ -1,203 +0,0 @@ -/* - * Copyright (c) 1985, 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[] = "@(#)exp.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -/* EXP(X) - * RETURN THE EXPONENTIAL OF X - * DOUBLE PRECISION (IEEE 53 bits, VAX D FORMAT 56 BITS) - * CODED IN C BY K.C. NG, 1/19/85; - * REVISED BY K.C. NG on 2/6/85, 2/15/85, 3/7/85, 3/24/85, 4/16/85, 6/14/86. - * - * Required system supported functions: - * scalb(x,n) - * copysign(x,y) - * finite(x) - * - * Method: - * 1. Argument Reduction: given the input x, find r and integer k such - * that - * x = k*ln2 + r, |r| <= 0.5*ln2 . - * r will be represented as r := z+c for better accuracy. - * - * 2. Compute exp(r) by - * - * exp(r) = 1 + r + r*R1/(2-R1), - * where - * R1 = x - x^2*(p1+x^2*(p2+x^2*(p3+x^2*(p4+p5*x^2)))). - * - * 3. exp(x) = 2^k * exp(r) . - * - * Special cases: - * exp(INF) is INF, exp(NaN) is NaN; - * exp(-INF)= 0; - * for finite argument, only exp(0)=1 is exact. - * - * Accuracy: - * exp(x) returns the exponential of x nearly rounded. In a test run - * with 1,156,000 random arguments on a VAX, the maximum observed - * error was 0.869 ulps (units in the last place). - * - * Constants: - * The hexadecimal values are the intended ones for the following constants. - * The decimal values may be used, provided that the compiler will convert - * from decimal to binary accurately enough to produce the hexadecimal values - * shown. - */ - -#include "mathimpl.h" - -vc(ln2hi, 6.9314718055829871446E-1 ,7217,4031,0000,f7d0, 0, .B17217F7D00000) -vc(ln2lo, 1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC) -vc(lnhuge, 9.4961163736712506989E1 ,ec1d,43bd,9010,a73e, 7, .BDEC1DA73E9010) -vc(lntiny,-9.5654310917272452386E1 ,4f01,c3bf,33af,d72e, 7,-.BF4F01D72E33AF) -vc(invln2, 1.4426950408889634148E0 ,aa3b,40b8,17f1,295c, 1, .B8AA3B295C17F1) -vc(p1, 1.6666666666666602251E-1 ,aaaa,3f2a,a9f1,aaaa, -2, .AAAAAAAAAAA9F1) -vc(p2, -2.7777777777015591216E-3 ,0b60,bc36,ec94,b5f5, -8,-.B60B60B5F5EC94) -vc(p3, 6.6137563214379341918E-5 ,b355,398a,f15f,792e, -13, .8AB355792EF15F) -vc(p4, -1.6533902205465250480E-6 ,ea0e,b6dd,5f84,2e93, -19,-.DDEA0E2E935F84) -vc(p5, 4.1381367970572387085E-8 ,bb4b,3431,2683,95f5, -24, .B1BB4B95F52683) - -#ifdef vccast -#define ln2hi vccast(ln2hi) -#define ln2lo vccast(ln2lo) -#define lnhuge vccast(lnhuge) -#define lntiny vccast(lntiny) -#define invln2 vccast(invln2) -#define p1 vccast(p1) -#define p2 vccast(p2) -#define p3 vccast(p3) -#define p4 vccast(p4) -#define p5 vccast(p5) -#endif - -ic(p1, 1.6666666666666601904E-1, -3, 1.555555555553E) -ic(p2, -2.7777777777015593384E-3, -9, -1.6C16C16BEBD93) -ic(p3, 6.6137563214379343612E-5, -14, 1.1566AAF25DE2C) -ic(p4, -1.6533902205465251539E-6, -20, -1.BBD41C5D26BF1) -ic(p5, 4.1381367970572384604E-8, -25, 1.6376972BEA4D0) -ic(ln2hi, 6.9314718036912381649E-1, -1, 1.62E42FEE00000) -ic(ln2lo, 1.9082149292705877000E-10,-33, 1.A39EF35793C76) -ic(lnhuge, 7.1602103751842355450E2, 9, 1.6602B15B7ECF2) -ic(lntiny,-7.5137154372698068983E2, 9, -1.77AF8EBEAE354) -ic(invln2, 1.4426950408889633870E0, 0, 1.71547652B82FE) - -double exp(x) -double x; -{ - double z,hi,lo,c; - int k; - -#if !defined(vax)&&!defined(tahoe) - if(x!=x) return(x); /* x is NaN */ -#endif /* !defined(vax)&&!defined(tahoe) */ - if( x <= lnhuge ) { - if( x >= lntiny ) { - - /* argument reduction : x --> x - k*ln2 */ - - k=invln2*x+copysign(0.5,x); /* k=NINT(x/ln2) */ - - /* express x-k*ln2 as hi-lo and let x=hi-lo rounded */ - - hi=x-k*ln2hi; - x=hi-(lo=k*ln2lo); - - /* return 2^k*[1+x+x*c/(2+c)] */ - z=x*x; - c= x - z*(p1+z*(p2+z*(p3+z*(p4+z*p5)))); - return scalb(1.0+(hi-(lo-(x*c)/(2.0-c))),k); - - } - /* end of x > lntiny */ - - else - /* exp(-big#) underflows to zero */ - if(finite(x)) return(scalb(1.0,-5000)); - - /* exp(-INF) is zero */ - else return(0.0); - } - /* end of x < lnhuge */ - - else - /* exp(INF) is INF, exp(+big#) overflows to INF */ - return( finite(x) ? scalb(1.0,5000) : x); -} - -/* returns exp(r = x + c) for |c| < |x| with no overlap. */ - -double __exp__D(x, c) -double x, c; -{ - double z,hi,lo, t; - int k; - -#if !defined(vax)&&!defined(tahoe) - if (x!=x) return(x); /* x is NaN */ -#endif /* !defined(vax)&&!defined(tahoe) */ - if ( x <= lnhuge ) { - if ( x >= lntiny ) { - - /* argument reduction : x --> x - k*ln2 */ - z = invln2*x; - k = z + copysign(.5, x); - - /* express (x+c)-k*ln2 as hi-lo and let x=hi-lo rounded */ - - hi=(x-k*ln2hi); /* Exact. */ - x= hi - (lo = k*ln2lo-c); - /* return 2^k*[1+x+x*c/(2+c)] */ - z=x*x; - c= x - z*(p1+z*(p2+z*(p3+z*(p4+z*p5)))); - c = (x*c)/(2.0-c); - - return scalb(1.+(hi-(lo - c)), k); - } - /* end of x > lntiny */ - - else - /* exp(-big#) underflows to zero */ - if(finite(x)) return(scalb(1.0,-5000)); - - /* exp(-INF) is zero */ - else return(0.0); - } - /* end of x < lnhuge */ - - else - /* exp(INF) is INF, exp(+big#) overflows to INF */ - return( finite(x) ? scalb(1.0,5000) : x); -} diff --git a/sysdeps/generic/expm1.c b/sysdeps/generic/expm1.c deleted file mode 100644 index 383902a928..0000000000 --- a/sysdeps/generic/expm1.c +++ /dev/null @@ -1,170 +0,0 @@ -/* - * Copyright (c) 1985, 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[] = "@(#)expm1.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -/* EXPM1(X) - * RETURN THE EXPONENTIAL OF X MINUS ONE - * DOUBLE PRECISION (IEEE 53 BITS, VAX D FORMAT 56 BITS) - * CODED IN C BY K.C. NG, 1/19/85; - * REVISED BY K.C. NG on 2/6/85, 3/7/85, 3/21/85, 4/16/85. - * - * Required system supported functions: - * scalb(x,n) - * copysign(x,y) - * finite(x) - * - * Kernel function: - * exp__E(x,c) - * - * Method: - * 1. Argument Reduction: given the input x, find r and integer k such - * that - * x = k*ln2 + r, |r| <= 0.5*ln2 . - * r will be represented as r := z+c for better accuracy. - * - * 2. Compute EXPM1(r)=exp(r)-1 by - * - * EXPM1(r=z+c) := z + exp__E(z,c) - * - * 3. EXPM1(x) = 2^k * ( EXPM1(r) + 1-2^-k ). - * - * Remarks: - * 1. When k=1 and z < -0.25, we use the following formula for - * better accuracy: - * EXPM1(x) = 2 * ( (z+0.5) + exp__E(z,c) ) - * 2. To avoid rounding error in 1-2^-k where k is large, we use - * EXPM1(x) = 2^k * { [z+(exp__E(z,c)-2^-k )] + 1 } - * when k>56. - * - * Special cases: - * EXPM1(INF) is INF, EXPM1(NaN) is NaN; - * EXPM1(-INF)= -1; - * for finite argument, only EXPM1(0)=0 is exact. - * - * Accuracy: - * EXPM1(x) returns the exact (exp(x)-1) nearly rounded. In a test run with - * 1,166,000 random arguments on a VAX, the maximum observed error was - * .872 ulps (units of the last place). - * - * Constants: - * The hexadecimal values are the intended ones for the following constants. - * The decimal values may be used, provided that the compiler will convert - * from decimal to binary accurately enough to produce the hexadecimal values - * shown. - */ - -#include "mathimpl.h" - -vc(ln2hi, 6.9314718055829871446E-1 ,7217,4031,0000,f7d0, 0, .B17217F7D00000) -vc(ln2lo, 1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC) -vc(lnhuge, 9.4961163736712506989E1 ,ec1d,43bd,9010,a73e, 7, .BDEC1DA73E9010) -vc(invln2, 1.4426950408889634148E0 ,aa3b,40b8,17f1,295c, 1, .B8AA3B295C17F1) - -ic(ln2hi, 6.9314718036912381649E-1, -1, 1.62E42FEE00000) -ic(ln2lo, 1.9082149292705877000E-10, -33, 1.A39EF35793C76) -ic(lnhuge, 7.1602103751842355450E2, 9, 1.6602B15B7ECF2) -ic(invln2, 1.4426950408889633870E0, 0, 1.71547652B82FE) - -#ifdef vccast -#define ln2hi vccast(ln2hi) -#define ln2lo vccast(ln2lo) -#define lnhuge vccast(lnhuge) -#define invln2 vccast(invln2) -#endif - -double expm1(x) -double x; -{ - const static double one=1.0, half=1.0/2.0; - double z,hi,lo,c; - int k; -#if defined(vax)||defined(tahoe) - static prec=56; -#else /* defined(vax)||defined(tahoe) */ - static prec=53; -#endif /* defined(vax)||defined(tahoe) */ - -#if !defined(vax)&&!defined(tahoe) - if(x!=x) return(x); /* x is NaN */ -#endif /* !defined(vax)&&!defined(tahoe) */ - - if( x <= lnhuge ) { - if( x >= -40.0 ) { - - /* argument reduction : x - k*ln2 */ - k= invln2 *x+copysign(0.5,x); /* k=NINT(x/ln2) */ - hi=x-k*ln2hi ; - z=hi-(lo=k*ln2lo); - c=(hi-z)-lo; - - if(k==0) return(z+__exp__E(z,c)); - if(k==1) - if(z< -0.25) - {x=z+half;x +=__exp__E(z,c); return(x+x);} - else - {z+=__exp__E(z,c); x=half+z; return(x+x);} - /* end of k=1 */ - - else { - if(k<=prec) - { x=one-scalb(one,-k); z += __exp__E(z,c);} - else if(k<100) - { x = __exp__E(z,c)-scalb(one,-k); x+=z; z=one;} - else - { x = __exp__E(z,c)+z; z=one;} - - return (scalb(x+z,k)); - } - } - /* end of x > lnunfl */ - - else - /* expm1(-big#) rounded to -1 (inexact) */ - if(finite(x)) - { ln2hi+ln2lo; return(-one);} - - /* expm1(-INF) is -1 */ - else return(-one); - } - /* end of x < lnhuge */ - - else - /* expm1(INF) is INF, expm1(+big#) overflows to INF */ - return( finite(x) ? scalb(one,5000) : x); -} - -#undef expm1 -weak_alias (__expm1, expm1) diff --git a/sysdeps/generic/fabs.c b/sysdeps/generic/fabs.c deleted file mode 100644 index cf8fa18e50..0000000000 --- a/sysdeps/generic/fabs.c +++ /dev/null @@ -1,27 +0,0 @@ -/* Copyright (C) 1991 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <math.h> - -/* Return the absolute value of X. */ -double -DEFUN(fabs, (x), register double x) -{ - return x < 0.0 ? -x : x; -} diff --git a/sysdeps/generic/floor.c b/sysdeps/generic/floor.c deleted file mode 100644 index a57d79a4f7..0000000000 --- a/sysdeps/generic/floor.c +++ /dev/null @@ -1,74 +0,0 @@ -/* snarfed from BSD common_source/floor.c: - * Copyright (c) 1985 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[] = "@(#)floor.c 5.7 (Berkeley) 10/9/90"; -#endif /* not lint */ - -#include "mathimpl.h" - -vc(L, 4503599627370496.0E0 ,0000,5c00,0000,0000, 55, 1.0) /* 2**55 */ - -ic(L, 4503599627370496.0E0, 52, 1.0) /* 2**52 */ - -#ifdef vccast -#define L vccast(L) -#endif - -/* - * floor(x) := the largest integer no larger than x; - * ceil(x) := -floor(-x), for all real x. - * - * Note: Inexact will be signaled if x is not an integer, as is - * customary for IEEE 754. No other signal can be emitted. - */ -double -floor(x) -double x; -{ - double y; - - if ( -#if !defined(vax)&&!defined(tahoe) - x != x || /* NaN */ -#endif /* !defined(vax)&&!defined(tahoe) */ - x >= L) /* already an even integer */ - return x; - else if (x < (double)0) - return -ceil(-x); - else { /* now 0 <= x < L */ - y = L+x; /* destructive store must be forced */ - y -= L; /* an integer, and |x-y| < 1 */ - return x < y ? y-(double)1 : y; - } -} diff --git a/sysdeps/generic/fmod.c b/sysdeps/generic/fmod.c deleted file mode 100644 index 09a31b29b3..0000000000 --- a/sysdeps/generic/fmod.c +++ /dev/null @@ -1,155 +0,0 @@ -/* - * Copyright (c) 1989, 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[] = "@(#)fmod.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -/* fmod.c - * - * SYNOPSIS - * - * #include <math.h> - * double fmod(double x, double y) - * - * DESCRIPTION - * - * The fmod function computes the floating-point remainder of x/y. - * - * RETURNS - * - * The fmod function returns the value x-i*y, for some integer i - * such that, if y is nonzero, the result has the same sign as x and - * magnitude less than the magnitude of y. - * - * On a VAX or CCI, - * - * fmod(x,0) traps/faults on floating-point divided-by-zero. - * - * On IEEE-754 conforming machines with "isnan()" primitive, - * - * fmod(x,0), fmod(INF,y) are invalid operations and NaN is returned. - * - */ -#if !defined(vax) && !defined(tahoe) -extern int isnan(),finite(); -#endif /* !defined(vax) && !defined(tahoe) */ -extern double frexp(),ldexp(),fabs(); - -#ifdef TEST_FMOD -static double -_fmod(x,y) -#else /* TEST_FMOD */ -double -fmod(x,y) -#endif /* TEST_FMOD */ -double x,y; -{ - int ir,iy; - double r,w; - - if (y == (double)0 -#if !defined(vax) && !defined(tahoe) /* per "fmod" manual entry, SunOS 4.0 */ - || isnan(y) || !finite(x) -#endif /* !defined(vax) && !defined(tahoe) */ - ) - return (x*y)/(x*y); - - r = fabs(x); - y = fabs(y); - (void)frexp(y,&iy); - while (r >= y) { - (void)frexp(r,&ir); - w = ldexp(y,ir-iy); - r -= w <= r ? w : w*(double)0.5; - } - return x >= (double)0 ? r : -r; -} - -#ifdef TEST_FMOD -extern long random(); -extern double fmod(); - -#define NTEST 10000 -#define NCASES 3 - -static int nfail = 0; - -static void -doit(x,y) -double x,y; -{ - double ro = fmod(x,y),rn = _fmod(x,y); - if (ro != rn) { - (void)printf(" x = 0x%08.8x %08.8x (%24.16e)\n",x,x); - (void)printf(" y = 0x%08.8x %08.8x (%24.16e)\n",y,y); - (void)printf(" fmod = 0x%08.8x %08.8x (%24.16e)\n",ro,ro); - (void)printf("_fmod = 0x%08.8x %08.8x (%24.16e)\n",rn,rn); - (void)printf("\n"); - } -} - -main() -{ - register int i,cases; - double x,y; - - srandom(12345); - for (i = 0; i < NTEST; i++) { - x = (double)random(); - y = (double)random(); - for (cases = 0; cases < NCASES; cases++) { - switch (cases) { - case 0: - break; - case 1: - y = (double)1/y; break; - case 2: - x = (double)1/x; break; - default: - abort(); break; - } - doit(x,y); - doit(x,-y); - doit(-x,y); - doit(-x,-y); - } - } - if (nfail) - (void)printf("Number of failures: %d (out of a total of %d)\n", - nfail,NTEST*NCASES*4); - else - (void)printf("No discrepancies were found\n"); - exit(0); -} -#endif /* TEST_FMOD */ diff --git a/sysdeps/generic/frexp.c b/sysdeps/generic/frexp.c deleted file mode 100644 index b2705bdf52..0000000000 --- a/sysdeps/generic/frexp.c +++ /dev/null @@ -1,53 +0,0 @@ -/* Copyright (C) 1991, 1992 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Break VALUE into a normalized fraction and an integral power of 2. */ -double -DEFUN(frexp, (value, exp), double value AND int *exp) -{ -#ifdef NAN - if (__isinf (value)) - { - errno = EDOM; - *exp = 0; - return __copysign (NAN, value); - } -#endif - - if (__isnan (value)) - { - errno = EDOM; - *exp = 0; - return value; - } - - if (value == 0) - { - *exp = 0; - return value; - } - - /* Add one to the exponent of the number, - so we have one digit before the binary point. */ - *exp = (int) __logb (value) + 1; - return ldexp (value, - *exp); -} diff --git a/sysdeps/generic/hypot.c b/sysdeps/generic/hypot.c deleted file mode 100644 index 5abae58674..0000000000 --- a/sysdeps/generic/hypot.c +++ /dev/null @@ -1,27 +0,0 @@ -/* Copyright (C) 1991, 1994 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <math.h> - -/* Return `sqrt(x*x + y*y)'. */ -double -DEFUN(hypot, (x, y), double x AND double y) -{ - return sqrt(x*x + y*y); -} diff --git a/sysdeps/generic/infnan.c b/sysdeps/generic/infnan.c deleted file mode 100644 index 1102a5392d..0000000000 --- a/sysdeps/generic/infnan.c +++ /dev/null @@ -1,48 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Deal with an infinite or NaN result. - If ERROR is ERANGE, result is +Inf; - if ERROR is - ERANGE, result is -Inf; - otherwise result is NaN. - This will set `errno' to either ERANGE or EDOM, - and may return an infinity or NaN, or may do something else. */ -double -DEFUN(__infnan, (error), int error) -{ - switch (error) - { - case ERANGE: - errno = ERANGE; - return HUGE_VAL; - - case - ERANGE: - errno = ERANGE; - return - HUGE_VAL; - - default: - errno = EDOM; - return 0.0; - } -} - -weak_alias (__infnan, infnan) diff --git a/sysdeps/generic/isnan.c b/sysdeps/generic/isnan.c deleted file mode 100644 index 79b2d10567..0000000000 --- a/sysdeps/generic/isnan.c +++ /dev/null @@ -1,29 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <math.h> - -/* Return nonzero if VALUE is not a number. */ -int -DEFUN(__isnan, (value), double value) -{ - return value != value; -} - -weak_alias (__isnan, isnan) diff --git a/sysdeps/generic/ldexp.c b/sysdeps/generic/ldexp.c deleted file mode 100644 index ac5b019cc6..0000000000 --- a/sysdeps/generic/ldexp.c +++ /dev/null @@ -1,27 +0,0 @@ -/* Copyright (C) 1991 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <math.h> - -/* Return X times (two to the EXP power). */ -double -DEFUN(ldexp, (x, exp), register double x AND register int exp) -{ - return x * pow(2.0, (double) exp); -} 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); -} diff --git a/sysdeps/generic/log10.c b/sysdeps/generic/log10.c deleted file mode 100644 index df52d542be..0000000000 --- a/sysdeps/generic/log10.c +++ /dev/null @@ -1,37 +0,0 @@ -/* Copyright (C) 1991 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -#ifndef LN10 -#define LN10 log(10.0) -#endif - -/* Return the base-ten logarithm of X. */ -double -DEFUN(log10, (x), double x) -{ - static double ln10 = 0.0; - - if (ln10 == 0.0) - ln10 = LN10; - - return log(x) / ln10; -} diff --git a/sysdeps/generic/log1p.c b/sysdeps/generic/log1p.c deleted file mode 100644 index cbf9fcd895..0000000000 --- a/sysdeps/generic/log1p.c +++ /dev/null @@ -1,170 +0,0 @@ -/* - * Copyright (c) 1985, 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[] = "@(#)log1p.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -/* LOG1P(x) - * RETURN THE LOGARITHM OF 1+x - * DOUBLE PRECISION (VAX D FORMAT 56 bits, IEEE DOUBLE 53 BITS) - * CODED IN C BY K.C. NG, 1/19/85; - * REVISED BY K.C. NG on 2/6/85, 3/7/85, 3/24/85, 4/16/85. - * - * Required system supported functions: - * scalb(x,n) - * copysign(x,y) - * logb(x) - * finite(x) - * - * Required kernel function: - * log__L(z) - * - * Method : - * 1. Argument Reduction: find k and f such that - * 1+x = 2^k * (1+f), - * where sqrt(2)/2 < 1+f < sqrt(2) . - * - * 2. Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) - * = 2s + 2/3 s**3 + 2/5 s**5 + ....., - * log(1+f) is computed by - * - * log(1+f) = 2s + s*log__L(s*s) - * where - * log__L(z) = z*(L1 + z*(L2 + z*(... (L6 + z*L7)...))) - * - * See log__L() for the values of the coefficients. - * - * 3. Finally, log(1+x) = k*ln2 + log(1+f). - * - * Remarks 1. In step 3 n*ln2 will be stored in two floating point numbers - * n*ln2hi + n*ln2lo, where ln2hi is chosen such that the last - * 20 bits (for VAX D format), or the last 21 bits ( for IEEE - * double) is 0. This ensures n*ln2hi is exactly representable. - * 2. In step 1, f may not be representable. A correction term c - * for f is computed. It follows that the correction term for - * f - t (the leading term of log(1+f) in step 2) is c-c*x. We - * add this correction term to n*ln2lo to attenuate the error. - * - * - * Special cases: - * log1p(x) is NaN with signal if x < -1; log1p(NaN) is NaN with no signal; - * log1p(INF) is +INF; log1p(-1) is -INF with signal; - * only log1p(0)=0 is exact for finite argument. - * - * Accuracy: - * log1p(x) returns the exact log(1+x) nearly rounded. In a test run - * with 1,536,000 random arguments on a VAX, the maximum observed - * error was .846 ulps (units in the last place). - * - * Constants: - * The hexadecimal values are the intended ones for the following constants. - * The decimal values may be used, provided that the compiler will convert - * from decimal to binary accurately enough to produce the hexadecimal values - * shown. - */ - -#include <errno.h> -#include "mathimpl.h" - -vc(ln2hi, 6.9314718055829871446E-1 ,7217,4031,0000,f7d0, 0, .B17217F7D00000) -vc(ln2lo, 1.6465949582897081279E-12 ,bcd5,2ce7,d9cc,e4f1, -39, .E7BCD5E4F1D9CC) -vc(sqrt2, 1.4142135623730950622E0 ,04f3,40b5,de65,33f9, 1, .B504F333F9DE65) - -ic(ln2hi, 6.9314718036912381649E-1, -1, 1.62E42FEE00000) -ic(ln2lo, 1.9082149292705877000E-10, -33, 1.A39EF35793C76) -ic(sqrt2, 1.4142135623730951455E0, 0, 1.6A09E667F3BCD) - -#ifdef vccast -#define ln2hi vccast(ln2hi) -#define ln2lo vccast(ln2lo) -#define sqrt2 vccast(sqrt2) -#endif - -double log1p(x) -double x; -{ - const static double zero=0.0, negone= -1.0, one=1.0, - half=1.0/2.0, small=1.0E-20; /* 1+small == 1 */ - double z,s,t,c; - int k; - -#if !defined(vax)&&!defined(tahoe) - if(x!=x) return(x); /* x is NaN */ -#endif /* !defined(vax)&&!defined(tahoe) */ - - if(finite(x)) { - if( x > negone ) { - - /* argument reduction */ - if(copysign(x,one)<small) return(x); - k=logb(one+x); z=scalb(x,-k); t=scalb(one,-k); - if(z+t >= sqrt2 ) - { k += 1 ; z *= half; t *= half; } - t += negone; x = z + t; - c = (t-x)+z ; /* correction term for x */ - - /* compute log(1+x) */ - s = x/(2+x); t = x*x*half; - c += (k*ln2lo-c*x); - z = c+s*(t+__log__L(s*s)); - x += (z - t) ; - - return(k*ln2hi+x); - } - /* end of if (x > negone) */ - - else { -#if defined(vax)||defined(tahoe) - if ( x == negone ) - return (infnan(-ERANGE)); /* -INF */ - else - return (infnan(EDOM)); /* NaN */ -#else /* defined(vax)||defined(tahoe) */ - /* x = -1, return -INF with signal */ - if ( x == negone ) return( negone/zero ); - - /* negative argument for log, return NaN with signal */ - else return ( zero / zero ); -#endif /* defined(vax)||defined(tahoe) */ - } - } - /* end of if (finite(x)) */ - - /* log(-INF) is NaN */ - else if(x<0) - return(zero/zero); - - /* log(+INF) is INF */ - else return(x); -} diff --git a/sysdeps/generic/modf.c b/sysdeps/generic/modf.c deleted file mode 100644 index 5305caf71c..0000000000 --- a/sysdeps/generic/modf.c +++ /dev/null @@ -1,31 +0,0 @@ -/* Copyright (C) 1991 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <math.h> - -#undef modf - -/* Break VALUE into integral and fractional parts. */ -double -DEFUN(modf, (value, iptr), double value AND double *iptr) -{ - register double ipart = floor(value); - *iptr = ipart; - return value - ipart; -} diff --git a/sysdeps/generic/pow.c b/sysdeps/generic/pow.c deleted file mode 100644 index 5121f30464..0000000000 --- a/sysdeps/generic/pow.c +++ /dev/null @@ -1,215 +0,0 @@ -/* - * Copyright (c) 1985, 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[] = "@(#)pow.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -/* POW(X,Y) - * RETURN X**Y - * DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS) - * CODED IN C BY K.C. NG, 1/8/85; - * REVISED BY K.C. NG on 7/10/85. - * KERNEL pow_P() REPLACED BY P. McILROY 7/22/92. - * Required system supported functions: - * scalb(x,n) - * logb(x) - * copysign(x,y) - * finite(x) - * drem(x,y) - * - * Required kernel functions: - * exp__D(a,c) exp(a + c) for |a| << |c| - * struct d_double dlog(x) r.a + r.b, |r.b| < |r.a| - * - * Method - * 1. Compute and return log(x) in three pieces: - * log(x) = n*ln2 + hi + lo, - * where n is an integer. - * 2. Perform y*log(x) by simulating muti-precision arithmetic and - * return the answer in three pieces: - * y*log(x) = m*ln2 + hi + lo, - * where m is an integer. - * 3. Return x**y = exp(y*log(x)) - * = 2^m * ( exp(hi+lo) ). - * - * Special cases: - * (anything) ** 0 is 1 ; - * (anything) ** 1 is itself; - * (anything) ** NaN is NaN; - * NaN ** (anything except 0) is NaN; - * +(anything > 1) ** +INF is +INF; - * -(anything > 1) ** +INF is NaN; - * +-(anything > 1) ** -INF is +0; - * +-(anything < 1) ** +INF is +0; - * +(anything < 1) ** -INF is +INF; - * -(anything < 1) ** -INF is NaN; - * +-1 ** +-INF is NaN and signal INVALID; - * +0 ** +(anything except 0, NaN) is +0; - * -0 ** +(anything except 0, NaN, odd integer) is +0; - * +0 ** -(anything except 0, NaN) is +INF and signal DIV-BY-ZERO; - * -0 ** -(anything except 0, NaN, odd integer) is +INF with signal; - * -0 ** (odd integer) = -( +0 ** (odd integer) ); - * +INF ** +(anything except 0,NaN) is +INF; - * +INF ** -(anything except 0,NaN) is +0; - * -INF ** (odd integer) = -( +INF ** (odd integer) ); - * -INF ** (even integer) = ( +INF ** (even integer) ); - * -INF ** -(anything except integer,NaN) is NaN with signal; - * -(x=anything) ** (k=integer) is (-1)**k * (x ** k); - * -(anything except 0) ** (non-integer) is NaN with signal; - * - * Accuracy: - * pow(x,y) returns x**y nearly rounded. In particular, on a SUN, a VAX, - * and a Zilog Z8000, - * pow(integer,integer) - * always returns the correct integer provided it is representable. - * In a test run with 100,000 random arguments with 0 < x, y < 20.0 - * on a VAX, the maximum observed error was 1.79 ulps (units in the - * last place). - * - * Constants : - * The hexadecimal values are the intended ones for the following constants. - * The decimal values may be used, provided that the compiler will convert - * from decimal to binary accurately enough to produce the hexadecimal values - * shown. - */ - -#include <errno.h> -#include <math.h> - -#include "mathimpl.h" - -#if (defined(vax) || defined(tahoe)) -#define TRUNC(x) x = (double) (float) x -#define _IEEE 0 -#else -#define _IEEE 1 -#define endian (((*(int *) &one)) ? 1 : 0) -#define TRUNC(x) *(((int *) &x)+endian) &= 0xf8000000 -#define infnan(x) 0.0 -#endif /* vax or tahoe */ - -const static double zero=0.0, one=1.0, two=2.0, negone= -1.0; - -static double pow_P __P((double, double)); - -double pow(x,y) -double x,y; -{ - double t; - if (y==zero) - return (one); - else if (y==one || (_IEEE && x != x)) - return (x); /* if x is NaN or y=1 */ - else if (_IEEE && y!=y) /* if y is NaN */ - return (y); - else if (!finite(y)) /* if y is INF */ - if ((t=fabs(x))==one) /* +-1 ** +-INF is NaN */ - return (y - y); - else if (t>one) - return ((y<0)? zero : ((x<zero)? y-y : y)); - else - return ((y>0)? zero : ((x<0)? y-y : -y)); - else if (y==two) - return (x*x); - else if (y==negone) - return (one/x); - /* x > 0, x == +0 */ - else if (copysign(one, x) == one) - return (pow_P(x, y)); - - /* sign(x)= -1 */ - /* if y is an even integer */ - else if ( (t=drem(y,two)) == zero) - return (pow_P(-x, y)); - - /* if y is an odd integer */ - else if (copysign(t,one) == one) - return (-pow_P(-x, y)); - - /* Henceforth y is not an integer */ - else if (x==zero) /* x is -0 */ - return ((y>zero)? -x : one/(-x)); - else if (_IEEE) - return (zero/zero); - else - return (infnan(EDOM)); -} -/* kernel function for x >= 0 */ -static double -#ifdef _ANSI_SOURCE -pow_P(double x, double y) -#else -pow_P(x, y) double x, y; -#endif -{ - struct Double s, t, __log__D(); - double __exp__D(), huge = 1e300, tiny = 1e-300; - - if (x == zero) - if (y > zero) - return (zero); - else if (_IEEE) - return (huge*huge); - else - return (infnan(ERANGE)); - if (x == one) - return (one); - if (!finite(x)) - if (y < zero) - return (zero); - else if (_IEEE) - return (huge*huge); - else - return (infnan(ERANGE)); - if (y >= 7e18) /* infinity */ - if (x < 1) - return(tiny*tiny); - else if (_IEEE) - return (huge*huge); - else - return (infnan(ERANGE)); - - /* Return exp(y*log(x)), using simulated extended */ - /* precision for the log and the multiply. */ - - s = __log__D(x); - t.a = y; - TRUNC(t.a); - t.b = y - t.a; - t.b = s.b*y + t.b*s.a; - t.a *= s.a; - s.a = t.a + t.b; - s.b = (t.a - s.a) + t.b; - return (__exp__D(s.a, s.b)); -} diff --git a/sysdeps/generic/rint.c b/sysdeps/generic/rint.c deleted file mode 100644 index a26fd09620..0000000000 --- a/sysdeps/generic/rint.c +++ /dev/null @@ -1,87 +0,0 @@ -/* snarfed from BSD common_source/floor.c: - * Copyright (c) 1985, 1995 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[] = "@(#)floor.c 5.7 (Berkeley) 10/9/90"; -#endif /* not lint */ - -#include "mathimpl.h" - -vc(L, 4503599627370496.0E0 ,0000,5c00,0000,0000, 55, 1.0) /* 2**55 */ - -ic(L, 4503599627370496.0E0, 52, 1.0) /* 2**52 */ - -#ifdef vccast -#define L vccast(L) -#endif - -/* - * algorithm for rint(x) in pseudo-pascal form ... - * - * real rint(x): real x; - * ... delivers integer nearest x in direction of prevailing rounding - * ... mode - * const L = (last consecutive integer)/2 - * = 2**55; for VAX D - * = 2**52; for IEEE 754 Double - * real s,t; - * begin - * if x != x then return x; ... NaN - * if |x| >= L then return x; ... already an integer - * s := copysign(L,x); - * t := x + s; ... = (x+s) rounded to integer - * return t - s - * end; - * - * Note: Inexact will be signaled if x is not an integer, as is - * customary for IEEE 754. No other signal can be emitted. - */ -double -__rint(x) -double x; -{ - double s,t; - const double one = 1.0; - -#if !defined(vax)&&!defined(tahoe) - if (x != x) /* NaN */ - return (x); -#endif /* !defined(vax)&&!defined(tahoe) */ - if (copysign(x,one) >= L) /* already an integer */ - return (x); - s = copysign(L,x); - t = x + s; /* x+s rounded to integer */ - return (t - s); -} - -weak_alias (__rint, rint) diff --git a/sysdeps/generic/sinh.c b/sysdeps/generic/sinh.c deleted file mode 100644 index 0516849cff..0000000000 --- a/sysdeps/generic/sinh.c +++ /dev/null @@ -1,121 +0,0 @@ -/* - * Copyright (c) 1985, 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[] = "@(#)sinh.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -/* SINH(X) - * RETURN THE HYPERBOLIC SINE OF X - * DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS) - * CODED IN C BY K.C. NG, 1/8/85; - * REVISED BY K.C. NG on 2/8/85, 3/7/85, 3/24/85, 4/16/85. - * - * Required system supported functions : - * copysign(x,y) - * scalb(x,N) - * - * Required kernel functions: - * expm1(x) ...return exp(x)-1 - * - * Method : - * 1. reduce x to non-negative by sinh(-x) = - sinh(x). - * 2. - * - * expm1(x) + expm1(x)/(expm1(x)+1) - * 0 <= x <= lnovfl : sinh(x) := -------------------------------- - * 2 - * lnovfl <= x <= lnovfl+ln2 : sinh(x) := expm1(x)/2 (avoid overflow) - * lnovfl+ln2 < x < INF : overflow to INF - * - * - * Special cases: - * sinh(x) is x if x is +INF, -INF, or NaN. - * only sinh(0)=0 is exact for finite argument. - * - * Accuracy: - * sinh(x) returns the exact hyperbolic sine of x nearly rounded. In - * a test run with 1,024,000 random arguments on a VAX, the maximum - * observed error was 1.93 ulps (units in the last place). - * - * Constants: - * The hexadecimal values are the intended ones for the following constants. - * The decimal values may be used, provided that the compiler will convert - * from decimal to binary accurately enough to produce the hexadecimal values - * shown. - */ - -#include "mathimpl.h" - -vc(mln2hi, 8.8029691931113054792E1 ,0f33,43b0,2bdb,c7e2, 7, .B00F33C7E22BDB) -vc(mln2lo,-4.9650192275318476525E-16 ,1b60,a70f,582a,279e, -50,-.8F1B60279E582A) -vc(lnovfl, 8.8029691931113053016E1 ,0f33,43b0,2bda,c7e2, 7, .B00F33C7E22BDA) - -ic(mln2hi, 7.0978271289338397310E2, 10, 1.62E42FEFA39EF) -ic(mln2lo, 2.3747039373786107478E-14, -45, 1.ABC9E3B39803F) -ic(lnovfl, 7.0978271289338397310E2, 9, 1.62E42FEFA39EF) - -#ifdef vccast -#define mln2hi vccast(mln2hi) -#define mln2lo vccast(mln2lo) -#define lnovfl vccast(lnovfl) -#endif - -#if defined(vax)||defined(tahoe) -static max = 126 ; -#else /* defined(vax)||defined(tahoe) */ -static max = 1023 ; -#endif /* defined(vax)||defined(tahoe) */ - - -double sinh(x) -double x; -{ - static const double one=1.0, half=1.0/2.0 ; - double t, sign; -#if !defined(vax)&&!defined(tahoe) - if(x!=x) return(x); /* x is NaN */ -#endif /* !defined(vax)&&!defined(tahoe) */ - sign=copysign(one,x); - x=copysign(x,one); - if(x<lnovfl) - {t=expm1(x); return(copysign((t+t/(one+t))*half,sign));} - - else if(x <= lnovfl+0.7) - /* subtract x by ln(2^(max+1)) and return 2^max*exp(x) - to avoid unnecessary overflow */ - return(copysign(scalb(one+expm1((x-mln2hi)-mln2lo),max),sign)); - - else /* sinh(+-INF) = +-INF, sinh(+-big no.) overflow to +-INF */ - return( expm1(x)*sign ); -} diff --git a/sysdeps/generic/tan.c b/sysdeps/generic/tan.c deleted file mode 100644 index 61ed5c55c7..0000000000 --- a/sysdeps/generic/tan.c +++ /dev/null @@ -1,74 +0,0 @@ -/* - * Copyright (c) 1987, 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[] = "@(#)tan.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -#include "trig.h" -double -tan(x) -double x; -{ - double a,z,ss,cc,c; - int k; - - if(!finite(x)) /* tan(NaN) and tan(INF) must be NaN */ - return x-x; - x = drem(x,PI); /* reduce x into [-PI/2, PI/2] */ - a = copysign(x,one); /* ... = abs(x) */ - if (a >= PIo4) { - k = 1; - x = copysign(PIo2-a,x); - } - else { - k = 0; - if (a < small) { - big+a; - return x; - } - } - z = x*x; - cc = cos__C(z); - ss = sin__S(z); - z *= half; /* Next get c = cos(x) accurately */ - c = (z >= thresh ? half-((z-half)-cc) : one-(z-cc)); - if (k == 0) - return x+(x*(z-(cc-ss)))/c; /* ... sin/cos */ -#ifdef national - else if (x == zero) - return copysign(fmax,x); /* no inf on 32k */ -#endif /* national */ - else - return c/(x+x*ss); /* ... cos/sin */ -} diff --git a/sysdeps/generic/tanh.c b/sysdeps/generic/tanh.c deleted file mode 100644 index d4923b3418..0000000000 --- a/sysdeps/generic/tanh.c +++ /dev/null @@ -1,99 +0,0 @@ -/* - * Copyright (c) 1985, 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[] = "@(#)tanh.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -/* TANH(X) - * RETURN THE HYPERBOLIC TANGENT OF X - * DOUBLE PRECISION (VAX D FORMAT 56 BITS, IEEE DOUBLE 53 BITS) - * CODED IN C BY K.C. NG, 1/8/85; - * REVISED BY K.C. NG on 2/8/85, 2/11/85, 3/7/85, 3/24/85. - * - * Required system supported functions : - * copysign(x,y) - * finite(x) - * - * Required kernel function: - * expm1(x) ...exp(x)-1 - * - * Method : - * 1. reduce x to non-negative by tanh(-x) = - tanh(x). - * 2. - * 0 < x <= 1.e-10 : tanh(x) := x - * -expm1(-2x) - * 1.e-10 < x <= 1 : tanh(x) := -------------- - * expm1(-2x) + 2 - * 2 - * 1 <= x <= 22.0 : tanh(x) := 1 - --------------- - * expm1(2x) + 2 - * 22.0 < x <= INF : tanh(x) := 1. - * - * Note: 22 was chosen so that fl(1.0+2/(expm1(2*22)+2)) == 1. - * - * Special cases: - * tanh(NaN) is NaN; - * only tanh(0)=0 is exact for finite argument. - * - * Accuracy: - * tanh(x) returns the exact hyperbolic tangent of x nealy rounded. - * In a test run with 1,024,000 random arguments on a VAX, the maximum - * observed error was 2.22 ulps (units in the last place). - */ - -double tanh(x) -double x; -{ - static double one=1.0, two=2.0, small = 1.0e-10, big = 1.0e10; - double expm1(), t, copysign(), sign; - int finite(); - -#if !defined(vax)&&!defined(tahoe) - if(x!=x) return(x); /* x is NaN */ -#endif /* !defined(vax)&&!defined(tahoe) */ - - sign=copysign(one,x); - x=copysign(x,one); - if(x < 22.0) - if( x > one ) - return(copysign(one-two/(expm1(x+x)+two),sign)); - else if ( x > small ) - {t= -expm1(-(x+x)); return(copysign(t/(two-t),sign));} - else /* raise the INEXACT flag for non-zero x */ - {big+x; return(copysign(x,sign));} - else if(finite(x)) - return (sign+1.0E-37); /* raise the INEXACT flag */ - else - return(sign); /* x is +- INF */ -} diff --git a/sysdeps/ieee754/cabs.c b/sysdeps/ieee754/cabs.c deleted file mode 100644 index eed81ece58..0000000000 --- a/sysdeps/ieee754/cabs.c +++ /dev/null @@ -1,232 +0,0 @@ -/* - * Copyright (c) 1985 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[] = "@(#)cabs.c 5.6 (Berkeley) 10/9/90"; -#endif /* not lint */ - -/* HYPOT(X,Y) - * RETURN THE SQUARE ROOT OF X^2 + Y^2 WHERE Z=X+iY - * DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS) - * CODED IN C BY K.C. NG, 11/28/84; - * REVISED BY K.C. NG, 7/12/85. - * - * Required system supported functions : - * copysign(x,y) - * finite(x) - * scalb(x,N) - * sqrt(x) - * - * Method : - * 1. replace x by |x| and y by |y|, and swap x and - * y if y > x (hence x is never smaller than y). - * 2. Hypot(x,y) is computed by: - * Case I, x/y > 2 - * - * y - * hypot = x + ----------------------------- - * 2 - * sqrt ( 1 + [x/y] ) + x/y - * - * Case II, x/y <= 2 - * y - * hypot = x + -------------------------------------------------- - * 2 - * [x/y] - 2 - * (sqrt(2)+1) + (x-y)/y + ----------------------------- - * 2 - * sqrt ( 1 + [x/y] ) + sqrt(2) - * - * - * - * Special cases: - * hypot(x,y) is INF if x or y is +INF or -INF; else - * hypot(x,y) is NAN if x or y is NAN. - * - * Accuracy: - * hypot(x,y) returns the sqrt(x^2+y^2) with error less than 1 ulps (units - * in the last place). See Kahan's "Interval Arithmetic Options in the - * Proposed IEEE Floating Point Arithmetic Standard", Interval Mathematics - * 1980, Edited by Karl L.E. Nickel, pp 99-128. (A faster but less accurate - * code follows in comments.) In a test run with 500,000 random arguments - * on a VAX, the maximum observed error was .959 ulps. - * - * Constants: - * The hexadecimal values are the intended ones for the following constants. - * The decimal values may be used, provided that the compiler will convert - * from decimal to binary accurately enough to produce the hexadecimal values - * shown. - */ -#include "mathimpl.h" - -#if 0 /* Moved to separate file. */ - -vc(r2p1hi, 2.4142135623730950345E0 ,8279,411a,ef32,99fc, 2, .9A827999FCEF32) -vc(r2p1lo, 1.4349369327986523769E-17 ,597d,2484,754b,89b3, -55, .84597D89B3754B) -vc(sqrt2, 1.4142135623730950622E0 ,04f3,40b5,de65,33f9, 1, .B504F333F9DE65) - -ic(r2p1hi, 2.4142135623730949234E0 , 1, 1.3504F333F9DE6) -ic(r2p1lo, 1.2537167179050217666E-16 , -53, 1.21165F626CDD5) -ic(sqrt2, 1.4142135623730951455E0 , 0, 1.6A09E667F3BCD) - -#ifdef vccast -#define r2p1hi vccast(r2p1hi) -#define r2p1lo vccast(r2p1lo) -#define sqrt2 vccast(sqrt2) -#endif - -double -hypot(x,y) -double x, y; -{ - static const double zero=0, one=1, - small=1.0E-18; /* fl(1+small)==1 */ - static const ibig=30; /* fl(1+2**(2*ibig))==1 */ - double t,r; - int exp; - - if(finite(x)) - if(finite(y)) - { - x=copysign(x,one); - y=copysign(y,one); - if(y > x) - { t=x; x=y; y=t; } - if(x == zero) return(zero); - if(y == zero) return(x); - exp= logb(x); - if(exp-(int)logb(y) > ibig ) - /* raise inexact flag and return |x| */ - { one+small; return(x); } - - /* start computing sqrt(x^2 + y^2) */ - r=x-y; - if(r>y) { /* x/y > 2 */ - r=x/y; - r=r+sqrt(one+r*r); } - else { /* 1 <= x/y <= 2 */ - r/=y; t=r*(r+2.0); - r+=t/(sqrt2+sqrt(2.0+t)); - r+=r2p1lo; r+=r2p1hi; } - - r=y/r; - return(x+r); - - } - - else if(y==y) /* y is +-INF */ - return(copysign(y,one)); - else - return(y); /* y is NaN and x is finite */ - - else if(x==x) /* x is +-INF */ - return (copysign(x,one)); - else if(finite(y)) - return(x); /* x is NaN, y is finite */ -#if !defined(vax)&&!defined(tahoe) - else if(y!=y) return(y); /* x and y is NaN */ -#endif /* !defined(vax)&&!defined(tahoe) */ - else return(copysign(y,one)); /* y is INF */ -} - -#endif /* 0 */ - -/* CABS(Z) - * RETURN THE ABSOLUTE VALUE OF THE COMPLEX NUMBER Z = X + iY - * DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS) - * CODED IN C BY K.C. NG, 11/28/84. - * REVISED BY K.C. NG, 7/12/85. - * - * Required kernel function : - * hypot(x,y) - * - * Method : - * cabs(z) = hypot(x,y) . - */ - -double -cabs(z) -struct __cabs_complex z; -{ - return hypot(z.__x,z.__y); -} - -double -z_abs(z) -struct __cabs_complex *z; -{ - return hypot(z->__x,z->__y); -} - -/* A faster but less accurate version of cabs(x,y) */ -#if 0 -double hypot(x,y) -double x, y; -{ - static const double zero=0, one=1; - small=1.0E-18; /* fl(1+small)==1 */ - static const ibig=30; /* fl(1+2**(2*ibig))==1 */ - double temp; - int exp; - - if(finite(x)) - if(finite(y)) - { - x=copysign(x,one); - y=copysign(y,one); - if(y > x) - { temp=x; x=y; y=temp; } - if(x == zero) return(zero); - if(y == zero) return(x); - exp= logb(x); - x=scalb(x,-exp); - if(exp-(int)logb(y) > ibig ) - /* raise inexact flag and return |x| */ - { one+small; return(scalb(x,exp)); } - else y=scalb(y,-exp); - return(scalb(sqrt(x*x+y*y),exp)); - } - - else if(y==y) /* y is +-INF */ - return(copysign(y,one)); - else - return(y); /* y is NaN and x is finite */ - - else if(x==x) /* x is +-INF */ - return (copysign(x,one)); - else if(finite(y)) - return(x); /* x is NaN, y is finite */ - else if(y!=y) return(y); /* x and y is NaN */ - else return(copysign(y,one)); /* y is INF */ -} -#endif diff --git a/sysdeps/ieee754/copysign.c b/sysdeps/ieee754/copysign.c deleted file mode 100644 index f1f0591d5f..0000000000 --- a/sysdeps/ieee754/copysign.c +++ /dev/null @@ -1,37 +0,0 @@ -/* Copyright (C) 1991, 1992, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <math.h> -#include "ieee754.h" - -/* Return X with its signed changed to Y's. */ -double -DEFUN(__copysign, (x, y), double x AND double y) -{ - union ieee754_double ux, uy; - - ux.d = x; - uy.d = y; - - ux.ieee.negative = uy.ieee.negative; - - return ux.d; -} - -weak_alias (__copysign, copysign) diff --git a/sysdeps/ieee754/frexp.c b/sysdeps/ieee754/frexp.c deleted file mode 100644 index c56a17f6c1..0000000000 --- a/sysdeps/ieee754/frexp.c +++ /dev/null @@ -1,42 +0,0 @@ -/* Copyright (C) 1993 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <math.h> -#include "ieee754.h" - -/* Break VALUE into a normalized fraction and an integral power of 2. */ - -double -frexp (value, exp) - double value; - int *exp; -{ - if (value == 0) - { - *exp = 0; - return 0; - } - else - { - union ieee754_double u; - u.d = value; - *exp = u.ieee.exponent - 1022; - u.ieee.exponent = 1022; - return u.d; - } -} diff --git a/sysdeps/ieee754/hypot.c b/sysdeps/ieee754/hypot.c deleted file mode 100644 index cdc2ed02b9..0000000000 --- a/sysdeps/ieee754/hypot.c +++ /dev/null @@ -1,197 +0,0 @@ -/* - * Copyright (c) 1985 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. - */ - -/* HYPOT(X,Y) - * RETURN THE SQUARE ROOT OF X^2 + Y^2 WHERE Z=X+iY - * DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS) - * CODED IN C BY K.C. NG, 11/28/84; - * REVISED BY K.C. NG, 7/12/85. - * - * Required system supported functions : - * copysign(x,y) - * finite(x) - * scalb(x,N) - * sqrt(x) - * - * Method : - * 1. replace x by |x| and y by |y|, and swap x and - * y if y > x (hence x is never smaller than y). - * 2. Hypot(x,y) is computed by: - * Case I, x/y > 2 - * - * y - * hypot = x + ----------------------------- - * 2 - * sqrt ( 1 + [x/y] ) + x/y - * - * Case II, x/y <= 2 - * y - * hypot = x + -------------------------------------------------- - * 2 - * [x/y] - 2 - * (sqrt(2)+1) + (x-y)/y + ----------------------------- - * 2 - * sqrt ( 1 + [x/y] ) + sqrt(2) - * - * - * - * Special cases: - * hypot(x,y) is INF if x or y is +INF or -INF; else - * hypot(x,y) is NAN if x or y is NAN. - * - * Accuracy: - * hypot(x,y) returns the sqrt(x^2+y^2) with error less than 1 ulps (units - * in the last place). See Kahan's "Interval Arithmetic Options in the - * Proposed IEEE Floating Point Arithmetic Standard", Interval Mathematics - * 1980, Edited by Karl L.E. Nickel, pp 99-128. (A faster but less accurate - * code follows in comments.) In a test run with 500,000 random arguments - * on a VAX, the maximum observed error was .959 ulps. - * - * Constants: - * The hexadecimal values are the intended ones for the following constants. - * The decimal values may be used, provided that the compiler will convert - * from decimal to binary accurately enough to produce the hexadecimal values - * shown. - */ -#include "mathimpl.h" - -vc(r2p1hi, 2.4142135623730950345E0 ,8279,411a,ef32,99fc, 2, .9A827999FCEF32) -vc(r2p1lo, 1.4349369327986523769E-17 ,597d,2484,754b,89b3, -55, .84597D89B3754B) -vc(sqrt2, 1.4142135623730950622E0 ,04f3,40b5,de65,33f9, 1, .B504F333F9DE65) - -ic(r2p1hi, 2.4142135623730949234E0 , 1, 1.3504F333F9DE6) -ic(r2p1lo, 1.2537167179050217666E-16 , -53, 1.21165F626CDD5) -ic(sqrt2, 1.4142135623730951455E0 , 0, 1.6A09E667F3BCD) - -#ifdef vccast -#define r2p1hi vccast(r2p1hi) -#define r2p1lo vccast(r2p1lo) -#define sqrt2 vccast(sqrt2) -#endif - -double -hypot(x,y) -double x, y; -{ - static const double zero=0, one=1, - small=1.0E-18; /* fl(1+small)==1 */ - static const ibig=30; /* fl(1+2**(2*ibig))==1 */ - double t,r; - int exp; - - if(finite(x)) - if(finite(y)) - { - x=copysign(x,one); - y=copysign(y,one); - if(y > x) - { t=x; x=y; y=t; } - if(x == zero) return(zero); - if(y == zero) return(x); - exp= logb(x); - if(exp-(int)logb(y) > ibig ) - /* raise inexact flag and return |x| */ - { one+small; return(x); } - - /* start computing sqrt(x^2 + y^2) */ - r=x-y; - if(r>y) { /* x/y > 2 */ - r=x/y; - r=r+sqrt(one+r*r); } - else { /* 1 <= x/y <= 2 */ - r/=y; t=r*(r+2.0); - r+=t/(sqrt2+sqrt(2.0+t)); - r+=r2p1lo; r+=r2p1hi; } - - r=y/r; - return(x+r); - - } - - else if(y==y) /* y is +-INF */ - return(copysign(y,one)); - else - return(y); /* y is NaN and x is finite */ - - else if(x==x) /* x is +-INF */ - return (copysign(x,one)); - else if(finite(y)) - return(x); /* x is NaN, y is finite */ -#if !defined(vax)&&!defined(tahoe) - else if(y!=y) return(y); /* x and y is NaN */ -#endif /* !defined(vax)&&!defined(tahoe) */ - else return(copysign(y,one)); /* y is INF */ -} - -/* A faster but less accurate version of cabs(x,y) */ -#if 0 -double hypot(x,y) -double x, y; -{ - static const double zero=0, one=1; - small=1.0E-18; /* fl(1+small)==1 */ - static const ibig=30; /* fl(1+2**(2*ibig))==1 */ - double temp; - int exp; - - if(finite(x)) - if(finite(y)) - { - x=copysign(x,one); - y=copysign(y,one); - if(y > x) - { temp=x; x=y; y=temp; } - if(x == zero) return(zero); - if(y == zero) return(x); - exp= logb(x); - x=scalb(x,-exp); - if(exp-(int)logb(y) > ibig ) - /* raise inexact flag and return |x| */ - { one+small; return(scalb(x,exp)); } - else y=scalb(y,-exp); - return(scalb(sqrt(x*x+y*y),exp)); - } - - else if(y==y) /* y is +-INF */ - return(copysign(y,one)); - else - return(y); /* y is NaN and x is finite */ - - else if(x==x) /* x is +-INF */ - return (copysign(x,one)); - else if(finite(y)) - return(x); /* x is NaN, y is finite */ - else if(y!=y) return(y); /* x and y is NaN */ - else return(copysign(y,one)); /* y is INF */ -} -#endif diff --git a/sysdeps/ieee754/infnan.c b/sysdeps/ieee754/infnan.c deleted file mode 100644 index 89ab5b6e08..0000000000 --- a/sysdeps/ieee754/infnan.c +++ /dev/null @@ -1,50 +0,0 @@ -/* Copyright (C) 1991, 1992, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> -#include <float.h> -#include "ieee754.h" - -/* Deal with an infinite or NaN result. - If ERROR is ERANGE, result is +Inf; - if ERROR is - ERANGE, result is -Inf; - otherwise result is NaN. - This will set `errno' to either ERANGE or EDOM, - and may return an infinity or NaN, or may do something else. */ -double -DEFUN(__infnan, (error), int error) -{ - switch (error) - { - case ERANGE: - errno = ERANGE; - return HUGE_VAL; - - case - ERANGE: - errno = ERANGE; - return - HUGE_VAL; - - default: - errno = EDOM; - return NAN; - } -} - -weak_alias (__infnan, infnan) diff --git a/sysdeps/ieee754/ldexp.c b/sysdeps/ieee754/ldexp.c deleted file mode 100644 index e8e3c676f9..0000000000 --- a/sysdeps/ieee754/ldexp.c +++ /dev/null @@ -1,146 +0,0 @@ -/* Copyright (C) 1992, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -/* - * Copyright (c) 1985 Regents of the University of California. - * All rights reserved. - * - * Redistribution and use in source and binary forms are permitted provided - * that: (1) source distributions retain this entire copyright notice and - * comment, and (2) distributions including binaries display the following - * acknowledgement: ``This product includes software developed by the - * University of California, Berkeley and its contributors'' in the - * documentation or other materials provided with the distribution and in - * all advertising materials mentioning features or use of this software. - * 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 ``AS IS'' AND WITHOUT ANY EXPRESS OR IMPLIED - * WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED WARRANTIES OF - * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. - */ - -#include <ansidecl.h> -#include <math.h> -#include <float.h> -#include <errno.h> -#include "ieee754.h" - -double -DEFUN(ldexp, (x, exp), - double x AND int exp) -{ - union ieee754_double u; - unsigned int exponent; - - u.d = x; -#define x u.d - - exponent = u.ieee.exponent; - - /* The order of the tests is carefully chosen to handle - the usual case first, with no branches taken. */ - - if (exponent != 0) - { - /* X is nonzero and not denormalized. */ - - if (exponent <= DBL_MAX_EXP - DBL_MIN_EXP + 1) - { - /* X is finite. When EXP < 0, overflow is actually underflow. */ - - exponent += exp; - - if (exponent != 0) - { - if (exponent <= DBL_MAX_EXP - DBL_MIN_EXP + 1) - { - /* In range. */ - u.ieee.exponent = exponent; - return x; - } - - if (exp >= 0) - overflow: - { - CONST int negative = u.ieee.negative; - u.d = HUGE_VAL; - u.ieee.negative = negative; - errno = ERANGE; - return u.d; - } - - if (exponent <= - (unsigned int) (DBL_MANT_DIG + 1)) - { - /* Underflow. */ - CONST int negative = u.ieee.negative; - u.d = 0.0; - u.ieee.negative = negative; - errno = ERANGE; - return u.d; - } - } - - /* Gradual underflow. */ - u.ieee.exponent = 1; - u.d *= ldexp (1.0, (int) exponent - 1); - if (u.ieee.mantissa0 == 0 && u.ieee.mantissa1 == 0) - /* Underflow. */ - errno = ERANGE; - return u.d; - } - - /* X is +-infinity or NaN. */ - if (u.ieee.mantissa0 == 0 && u.ieee.mantissa1 == 0) - { - /* X is +-infinity. */ - if (exp >= 0) - goto overflow; - else - { - /* (infinity * number < 1). With infinite precision, - (infinity / finite) would be infinity, but otherwise it's - safest to regard (infinity / 2) as indeterminate. The - infinity might be (2 * finite). */ - CONST int negative = u.ieee.negative; - u.d = NAN; - u.ieee.negative = negative; - errno = EDOM; - return u.d; - } - } - - /* X is NaN. */ - errno = EDOM; - return u.d; - } - - /* X is zero or denormalized. */ - if (u.ieee.mantissa0 == 0 && u.ieee.mantissa1 == 0) - /* X is +-0.0. */ - return x; - - /* X is denormalized. - Multiplying by 2 ** DBL_MANT_DIG normalizes it; - we then subtract the DBL_MANT_DIG we added to the exponent. */ - return ldexp (x * ldexp (1.0, DBL_MANT_DIG), exp - DBL_MANT_DIG); -} - -/* Compatibility names for the same function. */ -weak_alias (ldexp, __scalb) -weak_alias (ldexp, scalb) diff --git a/sysdeps/ieee754/log10.c b/sysdeps/ieee754/log10.c deleted file mode 100644 index da2f5b4d2b..0000000000 --- a/sysdeps/ieee754/log10.c +++ /dev/null @@ -1,30 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Return the base-ten logarithm of X. */ -double -DEFUN(log10, (x), double x) -{ - CONST double inverse_ln10 = 4.3429448190325181667e-1; /* 1 / log(10) */ - - return inverse_ln10 * log(x); -} diff --git a/sysdeps/stub/acos.c b/sysdeps/stub/acos.c deleted file mode 100644 index 6684ce0b33..0000000000 --- a/sysdeps/stub/acos.c +++ /dev/null @@ -1,32 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Return the inverse cosine of X. */ -double -DEFUN(acos, (x), double x) -{ - errno = ENOSYS; - return 0.0; -} - - -stub_warning (acos) diff --git a/sysdeps/stub/asin.c b/sysdeps/stub/asin.c deleted file mode 100644 index 0d4ee06c50..0000000000 --- a/sysdeps/stub/asin.c +++ /dev/null @@ -1,32 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Return the inverse sine of X. */ -double -DEFUN(asin, (x), double x) -{ - errno = ENOSYS; - return 0.0; -} - - -stub_warning (asin) diff --git a/sysdeps/stub/atan2.c b/sysdeps/stub/atan2.c deleted file mode 100644 index cc7a0eebbc..0000000000 --- a/sysdeps/stub/atan2.c +++ /dev/null @@ -1,31 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <math.h> - -/* Return the inverse tangent of Y/X. */ -double -DEFUN(atan2, (y, x), double y AND double x) -{ - errno = ENOSYS; - return 0.0; -} - - -stub_warning (atan2) diff --git a/sysdeps/stub/cosh.c b/sysdeps/stub/cosh.c deleted file mode 100644 index 6fdfc5dce5..0000000000 --- a/sysdeps/stub/cosh.c +++ /dev/null @@ -1,32 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Return the hyperbolic cosine of X. */ -double -DEFUN(cosh, (x), double x) -{ - errno = ENOSYS; - return(0.0); -} - - -stub_warning (cosh) diff --git a/sysdeps/stub/exp.c b/sysdeps/stub/exp.c deleted file mode 100644 index 0ae956f56f..0000000000 --- a/sysdeps/stub/exp.c +++ /dev/null @@ -1,32 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Return e to the X. */ -double -DEFUN(exp, (x), double x) -{ - errno = ENOSYS; - return 0.0; -} - - -stub_warning (exp) diff --git a/sysdeps/stub/fmod.c b/sysdeps/stub/fmod.c deleted file mode 100644 index 19fb431682..0000000000 --- a/sysdeps/stub/fmod.c +++ /dev/null @@ -1,32 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Return the floating-point modulo remainder of X/Y. */ -double -DEFUN(fmod, (x, y), double x AND double y) -{ - errno = ENOSYS; - return(0.0); -} - - -stub_warning (fmod) diff --git a/sysdeps/stub/frexp.c b/sysdeps/stub/frexp.c deleted file mode 100644 index b8e77f72f1..0000000000 --- a/sysdeps/stub/frexp.c +++ /dev/null @@ -1,33 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Break VALUE into a normalized fraction and an integral power of 2. */ -double -DEFUN(frexp, (value, exp), double value AND int *exp) -{ - errno = ENOSYS; - *exp = 0; - return 0.0; -} - - -stub_warning (frexp) diff --git a/sysdeps/stub/log.c b/sysdeps/stub/log.c deleted file mode 100644 index 99dab7b65d..0000000000 --- a/sysdeps/stub/log.c +++ /dev/null @@ -1,32 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Return the natural logarithm of X. */ -double -DEFUN(log, (x), double x) -{ - errno = ENOSYS; - return(0.0); -} - - -stub_warning (log) diff --git a/sysdeps/stub/log10.c b/sysdeps/stub/log10.c deleted file mode 100644 index 8ddffe6e71..0000000000 --- a/sysdeps/stub/log10.c +++ /dev/null @@ -1,32 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Return the base-ten logarithm of X. */ -double -DEFUN(log10, (x), double x) -{ - errno = ENOSYS; - return 0.0; -} - - -stub_warning (log10) diff --git a/sysdeps/stub/sinh.c b/sysdeps/stub/sinh.c deleted file mode 100644 index 52cc8c1d40..0000000000 --- a/sysdeps/stub/sinh.c +++ /dev/null @@ -1,32 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Return the hyperbolic sine of X. */ -double -DEFUN(sinh, (x), double x) -{ - errno = ENOSYS; - return(0.0); -} - - -stub_warning (sinh) diff --git a/sysdeps/stub/tan.c b/sysdeps/stub/tan.c deleted file mode 100644 index cca882d274..0000000000 --- a/sysdeps/stub/tan.c +++ /dev/null @@ -1,32 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Return the tangent of X. */ -double -DEFUN(tan, (x), double x) -{ - errno = ENOSYS; - return(0.0); -} - - -stub_warning (tan) diff --git a/sysdeps/stub/tanh.c b/sysdeps/stub/tanh.c deleted file mode 100644 index 4eb55b9028..0000000000 --- a/sysdeps/stub/tanh.c +++ /dev/null @@ -1,32 +0,0 @@ -/* Copyright (C) 1991, 1995 Free Software Foundation, Inc. -This file is part of the GNU C Library. - -The GNU C Library is free software; you can redistribute it and/or -modify it under the terms of the GNU Library General Public License as -published by the Free Software Foundation; either version 2 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 -Library General Public License for more details. - -You should have received a copy of the GNU Library General Public -License along with the GNU C Library; see the file COPYING.LIB. If -not, write to the Free Software Foundation, Inc., 675 Mass Ave, -Cambridge, MA 02139, USA. */ - -#include <ansidecl.h> -#include <errno.h> -#include <math.h> - -/* Return the hyperbolic tangent of X. */ -double -DEFUN(tanh, (x), double x) -{ - errno = ENOSYS; - return(0.0); -} - - -stub_warning (tanh) diff --git a/sysdeps/unix/sysv/linux/i386/Dist b/sysdeps/unix/sysv/linux/i386/Dist new file mode 100644 index 0000000000..430fe6e9e5 --- /dev/null +++ b/sysdeps/unix/sysv/linux/i386/Dist @@ -0,0 +1 @@ +sys/perm.h sys/vm86.h |