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1.1 ! otto 1: /* $OpenBSD$ */
! 2:
! 3: /*
! 4: * Copyright (C) Caldera International Inc. 2001-2002.
! 5: * All rights reserved.
! 6: *
! 7: * Redistribution and use in source and binary forms, with or without
! 8: * modification, are permitted provided that the following conditions
! 9: * are met:
! 10: * 1. Redistributions of source code and documentation must retain the above
! 11: * copyright notice, this list of conditions and the following disclaimer.
! 12: * 2. Redistributions in binary form must reproduce the above copyright
! 13: * notice, this list of conditions and the following disclaimer in the
! 14: * documentation and/or other materials provided with the distribution.
! 15: * 3. All advertising materials mentioning features or use of this software
! 16: * must display the following acknowledgement:
! 17: * This product includes software developed or owned by Caldera
! 18: * International, Inc.
! 19: * 4. Neither the name of Caldera International, Inc. nor the names of other
! 20: * contributors may be used to endorse or promote products derived from
! 21: * this software without specific prior written permission.
! 22: *
! 23: * USE OF THE SOFTWARE PROVIDED FOR UNDER THIS LICENSE BY CALDERA
! 24: * INTERNATIONAL, INC. AND CONTRIBUTORS ``AS IS'' AND ANY EXPRESS OR
! 25: * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
! 26: * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
! 27: * IN NO EVENT SHALL CALDERA INTERNATIONAL, INC. BE LIABLE FOR ANY DIRECT,
! 28: * INDIRECT INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
! 29: * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
! 30: * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
! 31: * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
! 32: * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING
! 33: * IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! 34: * POSSIBILITY OF SUCH DAMAGE.
! 35: */
! 36:
! 37: /*
! 38: * @(#)bc.library 5.1 (Berkeley) 4/17/91
! 39: */
! 40:
! 41: scale = 20
! 42: define e(x){
! 43: auto a, b, c, d, e, g, t, w, y
! 44:
! 45: t = scale
! 46: scale = t + .434*x + 1
! 47:
! 48: w = 0
! 49: if(x<0){
! 50: x = -x
! 51: w = 1
! 52: }
! 53: y = 0
! 54: while(x>2){
! 55: x = x/2
! 56: y = y + 1
! 57: }
! 58:
! 59: a=1
! 60: b=1
! 61: c=b
! 62: d=1
! 63: e=1
! 64: for(a=1;1==1;a++){
! 65: b=b*x
! 66: c=c*a+b
! 67: d=d*a
! 68: g = c/d
! 69: if(g == e){
! 70: g = g/1
! 71: while(y--){
! 72: g = g*g
! 73: }
! 74: scale = t
! 75: if(w==1) return(1/g)
! 76: return(g/1)
! 77: }
! 78: e=g
! 79: }
! 80: }
! 81:
! 82: define l(x){
! 83: auto a, b, c, d, e, f, g, u, s, t
! 84: if(x <=0) return(1-10^scale)
! 85: t = scale
! 86:
! 87: f=1
! 88: scale = scale + scale(x) - length(x) + 1
! 89: s=scale
! 90: while(x > 2){
! 91: s = s + (length(x)-scale(x))/2 + 1
! 92: if(s>0) scale = s
! 93: x = sqrt(x)
! 94: f=f*2
! 95: }
! 96: while(x < .5){
! 97: s = s + (length(x)-scale(x))/2 + 1
! 98: if(s>0) scale = s
! 99: x = sqrt(x)
! 100: f=f*2
! 101: }
! 102:
! 103: scale = t + length(f) - scale(f) + 1
! 104: u = (x-1)/(x+1)
! 105:
! 106: scale = scale + 1.1*length(t) - 1.1*scale(t)
! 107: s = u*u
! 108: b = 2*f
! 109: c = b
! 110: d = 1
! 111: e = 1
! 112: for(a=3;1==1;a=a+2){
! 113: b=b*s
! 114: c=c*a+d*b
! 115: d=d*a
! 116: g=c/d
! 117: if(g==e){
! 118: scale = t
! 119: return(u*c/d)
! 120: }
! 121: e=g
! 122: }
! 123: }
! 124:
! 125: define s(x){
! 126: auto a, b, c, s, t, y, p, n, i
! 127: t = scale
! 128: y = x/.7853
! 129: s = t + length(y) - scale(y)
! 130: if(s<t) s=t
! 131: scale = s
! 132: p = a(1)
! 133:
! 134: scale = 0
! 135: if(x>=0) n = (x/(2*p)+1)/2
! 136: if(x<0) n = (x/(2*p)-1)/2
! 137: x = x - 4*n*p
! 138: if(n%2!=0) x = -x
! 139:
! 140: scale = t + length(1.2*t) - scale(1.2*t)
! 141: y = -x*x
! 142: a = x
! 143: b = 1
! 144: s = x
! 145: for(i=3; 1==1; i=i+2){
! 146: a = a*y
! 147: b = b*i*(i-1)
! 148: c = a/b
! 149: if(c==0){scale=t; return(s/1)}
! 150: s = s+c
! 151: }
! 152: }
! 153:
! 154: define c(x){
! 155: auto t
! 156: t = scale
! 157: scale = scale+1
! 158: x = s(x+2*a(1))
! 159: scale = t
! 160: return(x/1)
! 161: }
! 162:
! 163: define a(x){
! 164: auto a, b, c, d, e, f, g, s, t
! 165: if(x==0) return(0)
! 166: if(x==1) {
! 167: if(scale<52) {
! 168: return(.7853981633974483096156608458198757210492923498437764/1)
! 169: }
! 170: }
! 171: t = scale
! 172: f=1
! 173: while(x > .5){
! 174: scale = scale + 1
! 175: x= -(1-sqrt(1.+x*x))/x
! 176: f=f*2
! 177: }
! 178: while(x < -.5){
! 179: scale = scale + 1
! 180: x = -(1-sqrt(1.+x*x))/x
! 181: f=f*2
! 182: }
! 183: s = -x*x
! 184: b = f
! 185: c = f
! 186: d = 1
! 187: e = 1
! 188: for(a=3;1==1;a=a+2){
! 189: b=b*s
! 190: c=c*a+d*b
! 191: d=d*a
! 192: g=c/d
! 193: if(g==e){
! 194: scale = t
! 195: return(x*c/d)
! 196: }
! 197: e=g
! 198: }
! 199: }
! 200:
! 201: define j(n,x){
! 202: auto a,b,c,d,e,g,i,s,k,t
! 203:
! 204: t = scale
! 205: k = 1.36*x + 1.16*t - n
! 206: k = length(k) - scale(k)
! 207: if(k>0) scale = scale + k
! 208:
! 209: s= -x*x/4
! 210: if(n<0){
! 211: n= -n
! 212: x= -x
! 213: }
! 214: a=1
! 215: c=1
! 216: for(i=1;i<=n;i++){
! 217: a=a*x
! 218: c = c*2*i
! 219: }
! 220: b=a
! 221: d=1
! 222: e=1
! 223: for(i=1;1;i++){
! 224: a=a*s
! 225: b=b*i*(n+i) + a
! 226: c=c*i*(n+i)
! 227: g=b/c
! 228: if(g==e){
! 229: scale = t
! 230: return(g/1)
! 231: }
! 232: e=g
! 233: }
! 234: }