Annotation of OpenXM_contrib2/asir2000/engine/R.c, Revision 1.6
1.2 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
1.3 noro 26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
1.2 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: *
1.6 ! noro 48: * $OpenXM: OpenXM_contrib2/asir2000/engine/R.c,v 1.5 2005/08/24 06:28:39 noro Exp $
1.2 noro 49: */
1.1 noro 50: #include "ca.h"
51:
52: void addr(vl,a,b,c)
53: VL vl;
54: Obj a,b,*c;
55: {
1.6 ! noro 56: P t,s,u;
! 57: R r;
1.1 noro 58:
1.6 ! noro 59: if ( !a )
! 60: *c = b;
! 61: else if ( !b )
! 62: *c = a;
! 63: else if ( !RAT(a) )
! 64: if ( !RAT(b) )
! 65: addp(vl,(P)a,(P)b,(P *)c);
! 66: else {
! 67: mulp(vl,(P)a,DN((R)b),&t); addp(vl,t,NM((R)b),&s);
! 68: if ( s )
! 69: MKRAT(s,DN((R)b),((R)b)->reduced,r);
! 70: else
! 71: r = 0;
! 72: *c = (Obj)r;
! 73: }
! 74: else if ( !RAT(b) ) {
! 75: mulp(vl,DN((R)a),(P)b,&t); addp(vl,NM((R)a),t,&s);
! 76: if ( s )
! 77: MKRAT(s,DN((R)a),((R)a)->reduced,r);
! 78: else
! 79: r = 0;
! 80: *c = (Obj)r;
! 81: } else {
! 82: mulp(vl,NM((R)a),DN((R)b),&t); mulp(vl,NM((R)b),DN((R)a),&s);
! 83: addp(vl,t,s,&u);
! 84: if ( u ) {
! 85: mulp(vl,DN((R)a),DN((R)b),&t); MKRAT(u,t,0,r); *c = (Obj)r;
! 86: } else
! 87: *c = 0;
! 88: }
1.1 noro 89: }
90:
91: void subr(vl,a,b,c)
92: VL vl;
93: Obj a,b,*c;
94: {
1.6 ! noro 95: P t,s,u;
! 96: R r;
1.1 noro 97:
1.6 ! noro 98: if ( !a )
! 99: chsgnr(b,c);
! 100: else if ( !b )
! 101: *c = a;
! 102: else if ( !RAT(a) )
! 103: if ( !RAT(b) )
! 104: subp(vl,(P)a,(P)b,(P *)c);
! 105: else {
! 106: mulp(vl,(P)a,DN((R)b),&t); subp(vl,t,NM((R)b),&s);
! 107: if ( s )
! 108: MKRAT(s,DN((R)b),((R)b)->reduced,r);
! 109: else
! 110: r = 0;
! 111: *c = (Obj)r;
! 112: }
! 113: else if ( !RAT(b) ) {
! 114: mulp(vl,DN((R)a),(P)b,&t); subp(vl,NM((R)a),t,&s);
! 115: if ( s )
! 116: MKRAT(s,DN((R)a),((R)a)->reduced,r);
! 117: else
! 118: r = 0;
! 119: *c = (Obj)r;
! 120: } else {
! 121: mulp(vl,NM((R)a),DN((R)b),&t); mulp(vl,NM((R)b),DN((R)a),&s);
! 122: subp(vl,t,s,&u);
! 123: if ( u ) {
! 124: mulp(vl,DN((R)a),DN((R)b),&t); MKRAT(u,t,0,r); *c = (Obj)r;
! 125: } else
! 126: *c = 0;
! 127: }
1.1 noro 128: }
129:
130: void mulr(vl,a,b,c)
131: VL vl;
132: Obj a,b,*c;
133: {
1.6 ! noro 134: P t,s;
! 135: R r;
1.1 noro 136:
1.6 ! noro 137: if ( !a || !b )
! 138: *c = 0;
! 139: else if ( !RAT(a) )
! 140: if ( !RAT(b) )
! 141: mulp(vl,(P)a,(P)b,(P *)c);
! 142: else {
! 143: mulp(vl,(P)a,NM((R)b),&t); MKRAT(t,DN((R)b),0,r); *c = (Obj)r;
! 144: }
! 145: else if ( !RAT(b) ) {
! 146: mulp(vl,NM((R)a),(P)b,&t); MKRAT(t,DN((R)a),0,r); *c = (Obj)r;
! 147: } else {
! 148: mulp(vl,NM((R)a),NM((R)b),&t); mulp(vl,DN((R)a),DN((R)b),&s);
! 149: MKRAT(t,s,0,r); *c = (Obj)r;
! 150: }
1.1 noro 151: }
152:
153: void divr(vl,a,b,c)
154: VL vl;
155: Obj a,b,*c;
156: {
1.6 ! noro 157: P t,s;
! 158: R r;
1.1 noro 159:
1.6 ! noro 160: if ( !b )
! 161: error("divr : division by 0");
! 162: else if ( !a )
! 163: *c = 0;
! 164: else if ( !RAT(a) )
! 165: if ( !RAT(b) )
! 166: if ( NUM(b) )
! 167: divsp(vl,(P)a,(P)b,(P *)c);
! 168: else {
! 169: MKRAT((P)a,(P)b,0,r); *c = (Obj)r;
! 170: }
! 171: else {
! 172: mulp(vl,(P)a,DN((R)b),&t); MKRAT(t,NM((R)b),0,r); *c = (Obj)r;
! 173: }
! 174: else if ( !RAT(b) ) {
! 175: mulp(vl,DN((R)a),(P)b,&t); MKRAT(NM((R)a),t,0,r); *c = (Obj)r;
! 176: } else {
! 177: mulp(vl,NM((R)a),DN((R)b),&t); mulp(vl,DN((R)a),NM((R)b),&s);
! 178: MKRAT(t,s,0,r); *c = (Obj)r;
! 179: }
1.1 noro 180: }
181:
182: void pwrr(vl,a,q,c)
183: VL vl;
184: Obj a,q,*c;
185: {
1.6 ! noro 186: P t,s;
! 187: R r;
! 188: Q q1;
! 189:
! 190: if ( !q )
! 191: *c = (Obj)ONE;
! 192: else if ( !a )
! 193: *c = 0;
! 194: else if ( !NUM(q) || !RATN(q) || !INT(q) )
! 195: notdef(vl,a,q,c);
! 196: else if ( !RAT(a) && (SGN((Q)q) > 0) ) {
! 197: pwrp(vl,(P)a,(Q)q,&t); *c = (Obj)t;
! 198: } else {
! 199: if ( !RAT(a) ) {
! 200: PTOR((P)a,r); a = (Obj)r;
! 201: }
! 202: if ( SGN((Q)q) < 0 ) {
! 203: chsgnq((Q)q,&q1); pwrp(vl,DN((R)a),q1,&t); pwrp(vl,NM((R)a),q1,&s);
! 204: } else {
! 205: pwrp(vl,NM((R)a),(Q)q,&t); pwrp(vl,DN((R)a),(Q)q,&s);
! 206: }
! 207: MKRAT(t,s,((R)a)->reduced,r); *c = (Obj)r;
! 208: }
1.1 noro 209: }
210:
211: void chsgnr(a,b)
212: Obj a,*b;
213: {
1.6 ! noro 214: P t;
! 215: R r;
1.1 noro 216:
1.6 ! noro 217: if ( !a )
! 218: *b = 0;
! 219: else if ( !RAT(a) )
! 220: chsgnp((P)a,(P *)b);
! 221: else {
! 222: chsgnp(NM((R)a),&t); MKRAT(t,DN((R)a),((R)a)->reduced,r); *b = (Obj)r;
! 223: }
1.1 noro 224: }
225:
226: int compr(vl,a,b)
227: VL vl;
228: Obj a,b;
229: {
1.6 ! noro 230: int t;
1.1 noro 231:
1.6 ! noro 232: if ( !a )
! 233: return b ? -1 : 0;
! 234: else if ( !b )
! 235: return 1;
! 236: else if ( !RAT(a) )
! 237: return !RAT(b) ? compp(vl,(P)a,(P)b) : -1;
! 238: else if ( !RAT(b) )
! 239: return 1;
! 240: else {
! 241: t = compp(vl,NM((R)a),NM((R)b));
! 242: if ( !t )
! 243: t = compp(vl,DN((R)a),DN((R)b));
! 244: return t;
! 245: }
1.4 noro 246: }
247:
248: int equalr(vl,a,b)
249: VL vl;
250: Obj a,b;
251: {
1.6 ! noro 252: if ( !a )
! 253: return b ? 0 : 1;
! 254: else if ( !b )
! 255: return 0;
! 256: else if ( !RAT(a) )
! 257: return !RAT(b) ? equalp(vl,(P)a,(P)b) : 0;
! 258: else if ( !RAT(b) )
! 259: return 0;
! 260: else
! 261: return equalp(vl,NM((R)a),NM((R)b)) && equalp(vl,DN((R)a),DN((R)b));
1.1 noro 262: }
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