Annotation of OpenXM_contrib2/asir2000/engine/real.c, Revision 1.10
1.3 noro 1: /*
2: * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
3: * All rights reserved.
4: *
5: * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
6: * non-exclusive and royalty-free license to use, copy, modify and
7: * redistribute, solely for non-commercial and non-profit purposes, the
8: * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
9: * conditions of this Agreement. For the avoidance of doubt, you acquire
10: * only a limited right to use the SOFTWARE hereunder, and FLL or any
11: * third party developer retains all rights, including but not limited to
12: * copyrights, in and to the SOFTWARE.
13: *
14: * (1) FLL does not grant you a license in any way for commercial
15: * purposes. You may use the SOFTWARE only for non-commercial and
16: * non-profit purposes only, such as academic, research and internal
17: * business use.
18: * (2) The SOFTWARE is protected by the Copyright Law of Japan and
19: * international copyright treaties. If you make copies of the SOFTWARE,
20: * with or without modification, as permitted hereunder, you shall affix
21: * to all such copies of the SOFTWARE the above copyright notice.
22: * (3) An explicit reference to this SOFTWARE and its copyright owner
23: * shall be made on your publication or presentation in any form of the
24: * results obtained by use of the SOFTWARE.
25: * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
1.4 noro 26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
1.3 noro 27: * for such modification or the source code of the modified part of the
28: * SOFTWARE.
29: *
30: * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
31: * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
32: * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
33: * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
34: * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
35: * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
36: * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
37: * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
38: * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
39: * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
40: * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
41: * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
42: * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
43: * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
44: * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
45: * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
46: * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
47: *
1.10 ! fujimoto 48: * $OpenXM: OpenXM_contrib2/asir2000/engine/real.c,v 1.9 2015/08/06 10:01:52 fujimoto Exp $
1.3 noro 49: */
1.1 noro 50: #include "ca.h"
51: #include "base.h"
52: #include <math.h>
53:
54: double RatnToReal(a)
55: Q a;
56: {
1.7 noro 57: double nm,dn,man;
1.1 noro 58: int enm,edn,e;
59:
60: nm = NatToReal(NM(a),&enm);
61: if ( INT(a) )
1.7 noro 62: if ( enm >= 1 ) {
1.1 noro 63: error("RatnToReal : Overflow");
1.7 noro 64: /* NOTREACHED */
65: return 0;
66: } else
1.1 noro 67: return SGN(a)>0 ? nm : -nm;
68: else {
69: dn = NatToReal(DN(a),&edn);
70: man = nm/dn;
71: if ( SGN(a) < 0 )
72: man = -man;
1.7 noro 73: if ( ((e = enm - edn) >= 1024) || (e <= -1023) ) {
1.1 noro 74: error("RatnToReal : Overflow"); /* XXX */
1.7 noro 75: /* NOTREACHED */
76: return 0;
77: } else if ( !e )
1.1 noro 78: return man;
79: else
80: return man*pow(2,e);
81: }
82: }
83:
84: double NatToReal(a,expo)
85: N a;
86: int *expo;
87: {
88: unsigned int *p;
89: int l,all,i,j,s,tb,top,tail;
90: unsigned int t,m[2];
91:
92: p = BD(a); l = PL(a) - 1;
93: for ( top = 0, t = p[l]; t; t >>= 1, top++ );
94: all = top + BSH*l; tail = (53-top)%BSH; i = l-(53-top)/BSH-1;
95: m[1] = i < 0 ? 0 : p[i]>>(BSH-tail);
96: for ( j = 1, i++, tb = tail; i <= l; i++ ) {
97: s = 32-tb; t = i < 0 ? 0 : p[i];
98: if ( BSH > s ) {
99: m[j] |= ((t&((1<<s)-1))<<tb);
100: if ( !j )
101: break;
102: else {
103: j--; m[j] = t>>s; tb = BSH-s;
104: }
105: } else {
106: m[j] |= (t<<tb); tb += BSH;
107: }
108: }
109: s = (all-1)+1023;
110: m[0] = (m[0]&((1<<20)-1))|(MIN(2046,s)<<20); *expo = MAX(s-2046,0);
111: #ifdef vax
112: t = m[0]; m[0] = m[1]; m[1] = t; itod(m);
113: #endif
1.10 ! fujimoto 114: #if defined(__i386__) || defined(MIPSEL) || defined(VISUAL) || defined(__MINGW32__) || defined(__alpha) || defined(__FreeBSD__) || defined(__NetBSD__) || defined(__x86_64)
1.1 noro 115: t = m[0]; m[0] = m[1]; m[1] = t;
116: #endif
117: return *((double *)m);
118: }
119:
120: void addreal(a,b,c)
121: Num a,b;
122: Real *c;
123: {
124: double t;
125:
126: t = ToReal(a)+ToReal(b); MKReal(t,*c);
127: }
128:
129: void subreal(a,b,c)
130: Num a,b;
131: Real *c;
132: {
133: double t;
134:
135: t = ToReal(a)-ToReal(b); MKReal(t,*c);
136: }
137:
138: void mulreal(a,b,c)
139: Num a,b;
140: Real *c;
141: {
142: double t;
143:
144: if ( !a || !b )
145: *c = 0;
146: else {
147: t = ToReal(a)*ToReal(b);
1.5 noro 148: #if 0
1.1 noro 149: if ( !t )
150: error("mulreal : Underflow"); /* XXX */
151: else
1.5 noro 152: #endif
1.1 noro 153: MKReal(t,*c);
154: }
155: }
156:
157: void divreal(a,b,c)
158: Num a,b;
159: Real *c;
160: {
161: double t;
162:
163: if ( !a )
164: *c = 0;
165: else {
166: t = ToReal(a)/ToReal(b);
1.5 noro 167: #if 0
1.1 noro 168: if ( !t )
169: error("divreal : Underflow"); /* XXX */
170: else
1.5 noro 171: #endif
1.1 noro 172: MKReal(t,*c);
173: }
174: }
175:
176: void chsgnreal(a,c)
177: Num a,*c;
178: {
179: double t;
180: Real s;
181:
182: if ( !a )
183: *c = 0;
184: else if ( NID(a) == N_Q )
185: chsgnq((Q)a,(Q *)c);
186: else {
187: t = -ToReal(a); MKReal(t,s); *c = (Num)s;
188: }
189: }
190:
191: void pwrreal(a,b,c)
192: Num a,b;
193: Real *c;
194: {
195: double t;
196: double pwrreal0();
197:
198: if ( !b )
199: MKReal(1.0,*c);
200: else if ( !a )
201: *c = 0;
202: else if ( !RATN(b) || !INT(b) || (PL(NM((Q)b)) > 1) ) {
203: t = (double)pow((double)ToReal(a),(double)ToReal(b));
1.5 noro 204: #if 0
1.1 noro 205: if ( !t )
206: error("pwrreal : Underflow"); /* XXX */
207: else
1.5 noro 208: #endif
1.1 noro 209: MKReal(t,*c);
210: } else {
211: t = pwrreal0(BDY((Real)a),BD(NM((Q)b))[0]);
212: t = SGN((Q)b)>0?t:1/t;
1.5 noro 213: #if 0
1.1 noro 214: if ( !t )
215: error("pwrreal : Underflow"); /* XXX */
216: else
1.5 noro 217: #endif
1.1 noro 218: MKReal(t,*c);
219: }
220: }
221:
222: double pwrreal0(n,e)
223: double n;
224: int e;
225: {
226: double t;
227:
228: if ( e == 1 )
229: return n;
230: else {
231: t = pwrreal0(n,e / 2);
232: return e%2 ? t*t*n : t*t;
233: }
234: }
235:
236: int cmpreal(a,b)
237: Real a,b;
238: {
239: double t;
240:
241: t = ToReal(a)-ToReal(b);
242: return t>0.0 ? 1 : t<0.0?-1 : 0;
243: }
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