xref: /openbsd/regress/usr.bin/bc/t1.in (revision d415bd75)
1/*      $OpenBSD: t1.in,v 1.1 2003/09/25 19:40:07 otto Exp $	*/
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
41scale = 20
42define 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
82define 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
125define 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
154define 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
163define 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
201define 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}
235