diff options
Diffstat (limited to 'sysdeps/ieee754')
| -rw-r--r-- | sysdeps/ieee754/cbrt.c | 120 | ||||
| -rw-r--r-- | sysdeps/ieee754/drem.c | 107 | ||||
| -rw-r--r-- | sysdeps/ieee754/logb.c | 48 | ||||
| -rw-r--r-- | sysdeps/ieee754/sqrt.c | 120 |
4 files changed, 0 insertions, 395 deletions
diff --git a/sysdeps/ieee754/cbrt.c b/sysdeps/ieee754/cbrt.c deleted file mode 100644 index fe5fb95511..0000000000 --- a/sysdeps/ieee754/cbrt.c +++ /dev/null @@ -1,120 +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[] = "@(#)cbrt.c 8.1 (Berkeley) 6/4/93"; -#endif /* not lint */ - -#include <sys/cdefs.h> - -/* kahan's cube root (53 bits IEEE double precision) - * for IEEE machines only - * coded in C by K.C. Ng, 4/30/85 - * - * Accuracy: - * better than 0.667 ulps according to an error analysis. Maximum - * error observed was 0.666 ulps in an 1,000,000 random arguments test. - * - * Warning: this code is semi machine dependent; the ordering of words in - * a floating point number must be known in advance. I assume that the - * long interger at the address of a floating point number will be the - * leading 32 bits of that floating point number (i.e., sign, exponent, - * and the 20 most significant bits). - * On a National machine, it has different ordering; therefore, this code - * must be compiled with flag -DNATIONAL. - */ -#if !defined(vax)&&!defined(tahoe) - -static const unsigned long - B1 = 715094163, /* B1 = (682-0.03306235651)*2**20 */ - B2 = 696219795; /* B2 = (664-0.03306235651)*2**20 */ -static const double - C= 19./35., - D= -864./1225., - E= 99./70., - F= 45./28., - G= 5./14.; - -double cbrt(x) -double x; -{ - double r,s,t=0.0,w; - unsigned long *px = (unsigned long *) &x, - *pt = (unsigned long *) &t, - mexp,sign; - -#ifdef national /* ordering of words in a floating points number */ - const int n0=1,n1=0; -#else /* national */ - const int n0=0,n1=1; -#endif /* national */ - - mexp=px[n0]&0x7ff00000; - if(mexp==0x7ff00000) return(x); /* cbrt(NaN,INF) is itself */ - if(x==0.0) return(x); /* cbrt(0) is itself */ - - sign=px[n0]&0x80000000; /* sign= sign(x) */ - px[n0] ^= sign; /* x=|x| */ - - - /* rough cbrt to 5 bits */ - if(mexp==0) /* subnormal number */ - {pt[n0]=0x43500000; /* set t= 2**54 */ - t*=x; pt[n0]=pt[n0]/3+B2; - } - else - pt[n0]=px[n0]/3+B1; - - - /* new cbrt to 23 bits, may be implemented in single precision */ - r=t*t/x; - s=C+r*t; - t*=G+F/(s+E+D/s); - - /* chopped to 20 bits and make it larger than cbrt(x) */ - pt[n1]=0; pt[n0]+=0x00000001; - - - /* one step newton iteration to 53 bits with error less than 0.667 ulps */ - s=t*t; /* t*t is exact */ - r=x/s; - w=t+t; - r=(r-t)/(w+r); /* r-t is exact */ - t=t+t*r; - - - /* retore the sign bit */ - pt[n0] |= sign; - return(t); -} -#endif diff --git a/sysdeps/ieee754/drem.c b/sysdeps/ieee754/drem.c deleted file mode 100644 index cab3a04535..0000000000 --- a/sysdeps/ieee754/drem.c +++ /dev/null @@ -1,107 +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 "ieee754.h" - -/* Return the remainder of X/Y. */ -double -DEFUN(__drem, (x, y), - double x AND double y) -{ - union ieee754_double ux, uy; - - ux.d = x; - uy.d = y; -#define x ux.d -#define y uy.d - - uy.ieee.negative = 0; - - if (!__finite (x) || y == 0.0) - return NAN; - else if (__isnan (y)) - return y; - else if (__isinf (y)) - return x; - else if (uy.ieee.exponent <= 1) - { - /* Subnormal (or almost subnormal) Y value. */ - double b = __scalb (1.0, 54); - y *= b; - x = __drem (x, y); - x *= b; - return __drem (x, y) / b; - } - else if (y >= 1.7e308 / 2) - { - y /= 2; - x /= 2; - return __drem (x, y) * 2; - } - else - { - union ieee754_double a; - double b; - unsigned int negative = ux.ieee.negative; - a.d = y + y; - b = y / 2; - ux.ieee.negative = 0; - while (x > a.d) - { - unsigned short int k = ux.ieee.exponent - a.ieee.exponent; - union ieee754_double tmp; - tmp.d = a.d; - tmp.ieee.exponent += k; - if (x < tmp.d) - --tmp.ieee.exponent; - x -= tmp.d; - } - if (x > b) - { - x -= y; - if (x >= b) - x -= y; - } - ux.ieee.negative ^= negative; - return x; - } -} - -weak_alias (__drem, drem) diff --git a/sysdeps/ieee754/logb.c b/sysdeps/ieee754/logb.c deleted file mode 100644 index 918de9ebad..0000000000 --- a/sysdeps/ieee754/logb.c +++ /dev/null @@ -1,48 +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> -#include <float.h> -#include "ieee754.h" - -/* Return the base 2 signed integral exponent of X. */ -double -DEFUN(__logb, (x), double x) -{ - union ieee754_double u; - - if (__isnan (x)) - return x; - else if (__isinf (x)) - return HUGE_VAL; - else if (x == 0.0) - return - HUGE_VAL; - - u.d = x; - - if (u.ieee.exponent == 0) - /* A denormalized number. - Multiplying by 2 ** DBL_MANT_DIG normalizes it; - we then subtract the DBL_MANT_DIG we added to the exponent. */ - return (__logb (x * ldexp (1.0, DBL_MANT_DIG)) - DBL_MANT_DIG); - - return (int) u.ieee.exponent - (DBL_MAX_EXP - 1); -} - -weak_alias (__logb, logb) diff --git a/sysdeps/ieee754/sqrt.c b/sysdeps/ieee754/sqrt.c deleted file mode 100644 index 7e350e0d91..0000000000 --- a/sysdeps/ieee754/sqrt.c +++ /dev/null @@ -1,120 +0,0 @@ -/* - * 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 <errno.h> -#include <math.h> - -/* Return the square root of X. */ -double -DEFUN (sqrt, (x), double x) -{ - double q, s, b, r, t; - CONST double zero = 0.0; - int m, n, i; - - /* sqrt (NaN) is NaN; sqrt (+-0) is +-0. */ - if (__isnan (x) || x == zero) - return x; - - if (x < zero) - return zero / zero; - - /* sqrt (Inf) is Inf. */ - if (__isinf (x)) - return x; - - /* Scale X to [1,4). */ - n = __logb (x); - x = __scalb (x, -n); - m = __logb (x); - if (m != 0) - /* Subnormal number. */ - x = __scalb (x, -m); - - m += n; - n = m / 2; - - if ((n + n) != m) - { - x *= 2; - --m; - n = m / 2; - } - - /* Generate sqrt (X) bit by bit (accumulating in Q). */ - q = 1.0; - s = 4.0; - x -= 1.0; - r = 1; - for (i = 1; i <= 51; i++) - { - t = s + 1; - x *= 4; - r /= 2; - if (t <= x) - { - s = t + t + 2, x -= t; - q += r; - } - else - s *= 2; - } - - /* Generate the last bit and determine the final rounding. */ - r /= 2; - x *= 4; - if (x == zero) - goto end; - (void) (100 + r); /* Trigger inexact flag. */ - if (s < x) - { - q += r; - x -= s; - s += 2; - s *= 2; - x *= 4; - t = (x - s) - 5; - b = 1.0 + 3 * r / 4; - if (b == 1.0) - goto end; /* B == 1: Round to zero. */ - b = 1.0 + r / 4; - if (b > 1.0) - t = 1; /* B > 1: Round to +Inf. */ - if (t >= 0) - q += r; - } /* Else round to nearest. */ - else - { - s *= 2; - x *= 4; - t = (x - s) - 1; - b = 1.0 + 3 * r / 4; - if (b == 1.0) - goto end; - b = 1.0 + r / 4; - if (b > 1.0) - t = 1; - if (t >= 0) - q += r; - } - -end: - return __scalb (q, n); -} |