bc.library revision 265533
1/* $FreeBSD: stable/10/usr.bin/bc/bc.library 265533 2014-05-07 08:06:54Z delphij $ */ 2/* $OpenBSD: bc.library,v 1.4 2012/03/14 07:35:53 otto Exp $ */ 3 4/* 5 * Copyright (C) Caldera International Inc. 2001-2002. 6 * All rights reserved. 7 * 8 * Redistribution and use in source and binary forms, with or without 9 * modification, are permitted provided that the following conditions 10 * are met: 11 * 1. Redistributions of source code and documentation must retain the above 12 * copyright notice, this list of conditions and the following disclaimer. 13 * 2. Redistributions in binary form must reproduce the above copyright 14 * notice, this list of conditions and the following disclaimer in the 15 * documentation and/or other materials provided with the distribution. 16 * 3. All advertising materials mentioning features or use of this software 17 * must display the following acknowledgement: 18 * This product includes software developed or owned by Caldera 19 * International, Inc. 20 * 4. Neither the name of Caldera International, Inc. nor the names of other 21 * contributors may be used to endorse or promote products derived from 22 * this software without specific prior written permission. 23 * 24 * USE OF THE SOFTWARE PROVIDED FOR UNDER THIS LICENSE BY CALDERA 25 * INTERNATIONAL, INC. AND CONTRIBUTORS ``AS IS'' AND ANY EXPRESS OR 26 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES 27 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. 28 * IN NO EVENT SHALL CALDERA INTERNATIONAL, INC. BE LIABLE FOR ANY DIRECT, 29 * INDIRECT INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES 30 * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR 31 * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 32 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 33 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING 34 * IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE 35 * POSSIBILITY OF SUCH DAMAGE. 36 */ 37 38/* 39 * @(#)bc.library 5.1 (Berkeley) 4/17/91 40 */ 41 42scale = 20 43define e(x) { 44 auto a, b, c, d, e, g, t, w, y, r 45 46 r = ibase 47 ibase = A 48 t = scale 49 scale = 0 50 if (x > 0) scale = (0.435*x)/1 51 scale = scale + t + length(scale + t) + 1 52 53 w = 0 54 if (x < 0) { 55 x = -x 56 w = 1 57 } 58 y = 0 59 while (x > 2) { 60 x = x/2 61 y = y + 1 62 } 63 64 a = 1 65 b = 1 66 c = b 67 d = 1 68 e = 1 69 for (a = 1; 1 == 1; a++) { 70 b = b*x 71 c = c*a + b 72 d = d*a 73 g = c/d 74 if (g == e) { 75 g = g/1 76 while (y--) { 77 g = g*g 78 } 79 scale = t 80 ibase = r 81 if (w == 1) return (1/g) 82 return (g/1) 83 } 84 e = g 85 } 86} 87 88define l(x) { 89 auto a, b, c, d, e, f, g, u, s, t, r 90 r = ibase 91 ibase = A 92 if (x <= 0) { 93 a = (1 - 10^scale) 94 ibase = r 95 return (a) 96 } 97 t = scale 98 99 f = 1 100 if (x < 1) { 101 s = scale(x) 102 } else { 103 s = length(x)-scale(x) 104 } 105 scale = 0 106 a = (2.31*s)/1 /* estimated integer part of the answer */ 107 s = t + length(a) + 2 /* estimated length of the answer */ 108 while (x > 2) { 109 scale = 0 110 scale = (length(x) + scale(x))/2 + 1 111 if (scale < s) scale = s 112 x = sqrt(x) 113 f = f*2 114 } 115 while (x < .5) { 116 scale = 0 117 scale = scale(x)/2 + 1 118 if (scale < s) scale = s 119 x = sqrt(x) 120 f = f*2 121 } 122 123 scale = 0 124 scale = t + length(f) + length((1.05*(t+length(f))/1)) + 1 125 u = (x - 1)/(x + 1) 126 s = u*u 127 scale = t + 2 128 b = 2*f 129 c = b 130 d = 1 131 e = 1 132 for (a = 3; 1 == 1 ; a = a + 2) { 133 b = b*s 134 c = c*a + d*b 135 d = d*a 136 g = c/d 137 if (g == e) { 138 scale = t 139 ibase = r 140 return (u*c/d) 141 } 142 e = g 143 } 144} 145 146define s(x) { 147 auto a, b, c, s, t, y, p, n, i, r 148 r = ibase 149 ibase = A 150 t = scale 151 y = x/.7853 152 s = t + length(y) - scale(y) 153 if (s < t) s = t 154 scale = s 155 p = a(1) 156 157 scale = 0 158 if (x >= 0) n = (x/(2*p) + 1)/2 159 if (x < 0) n = (x/(2*p) - 1)/2 160 x = x - 4*n*p 161 if (n % 2 != 0) x = -x 162 163 scale = t + length(1.2*t) - scale(1.2*t) 164 y = -x*x 165 a = x 166 b = 1 167 s = x 168 for (i =3 ; 1 == 1; i = i + 2) { 169 a = a*y 170 b = b*i*(i - 1) 171 c = a/b 172 if (c == 0) { 173 scale = t 174 ibase = r 175 return (s/1) 176 } 177 s = s + c 178 } 179} 180 181define c(x) { 182 auto t, r 183 r = ibase 184 ibase = A 185 t = scale 186 scale = scale + 1 187 x = s(x + 2*a(1)) 188 scale = t 189 ibase = r 190 return (x/1) 191} 192 193define a(x) { 194 auto a, b, c, d, e, f, g, s, t, r 195 if (x == 0) return(0) 196 197 r = ibase 198 ibase = A 199 if (x == 1) { 200 if (scale < 52) { 201 a = .7853981633974483096156608458198757210492923498437764/1 202 ibase = r 203 return (a) 204 } 205 } 206 t = scale 207 f = 1 208 while (x > .5) { 209 scale = scale + 1 210 x = -(1 - sqrt(1. + x*x))/x 211 f = f*2 212 } 213 while (x < -.5) { 214 scale = scale + 1 215 x = -(1 - sqrt(1. + x*x))/x 216 f = f*2 217 } 218 s = -x*x 219 b = f 220 c = f 221 d = 1 222 e = 1 223 for (a = 3; 1 == 1; a = a + 2) { 224 b = b*s 225 c = c*a + d*b 226 d = d*a 227 g = c/d 228 if (g == e) { 229 ibase = r 230 scale = t 231 return (x*c/d) 232 } 233 e = g 234 } 235} 236 237define j(n,x) { 238 auto a, b, c, d, e, g, i, s, k, t, r 239 240 r = ibase 241 ibase = A 242 t = scale 243 k = 1.36*x + 1.16*t - n 244 k = length(k) - scale(k) 245 if (k > 0) scale = scale + k 246 247 s = -x*x/4 248 if (n < 0) { 249 n = -n 250 x = -x 251 } 252 a = 1 253 c = 1 254 for (i = 1; i <= n; i++) { 255 a = a*x 256 c = c*2*i 257 } 258 b = a 259 d = 1 260 e = 1 261 for (i = 1; 1; i++) { 262 a = a*s 263 b = b*i*(n + i) + a 264 c = c*i*(n + i) 265 g = b/c 266 if (g == e) { 267 ibase = r 268 scale = t 269 return (g/1) 270 } 271 e = g 272 } 273} 274/* vim: set filetype=bc shiftwidth=8 noexpandtab: */ 275