Annotation of OpenXM_contrib2/asir2000/parse/arith.c, Revision 1.28
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: *
1.28 ! noro 48: * $OpenXM: OpenXM_contrib2/asir2000/parse/arith.c,v 1.27 2017/08/31 02:36:21 noro Exp $
1.2 noro 49: */
1.1 noro 50: #include "ca.h"
51: #include "parse.h"
52:
53: struct oAFUNC {
54: void (*add)();
55: void (*sub)();
56: void (*mul)();
57: void (*div)();
58: void (*pwr)();
59: void (*chsgn)();
60: int (*comp)();
61: };
62:
63: struct oARF arf[6];
64: ARF addfs, subfs, mulfs, divfs, remfs, pwrfs;
65:
66: void divsdc();
1.20 noro 67: int compqa();
68: int compquote();
1.26 noro 69: int compvoid();
1.1 noro 70:
1.26 noro 71: struct oAFUNC afunc0[] = {
72: /* O_VOID=-1 */ {notdef,notdef,notdef,notdef,notdef,notdef,compvoid},
73: /* ???=0 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
1.4 noro 74: /* O_N=1 */ {addnum,subnum,mulnum,divnum,pwrnum,chsgnnum,compnum},
75: /* O_P=2 */ {addp,subp,mulp,divr,pwrp,chsgnp,compp},
76: /* O_R=3 */ {addr,subr,mulr,divr,pwrr,chsgnr,compr},
77: /* O_LIST=4 */ {notdef,notdef,notdef,notdef,notdef,notdef,complist},
78: /* O_VECT=5 */ {addvect,subvect,mulvect,divvect,notdef,chsgnvect,compvect},
79: /* O_MAT=6 */ {addmat,submat,mulmat,divmat,pwrmat,chsgnmat,compmat},
80: /* O_STR=7 */ {addstr,notdef,notdef,notdef,notdef,notdef,compstr},
81: /* O_COMP=8 */ {addcomp,subcomp,mulcomp,divcomp,pwrcomp,chsgncomp,compcomp},
1.27 noro 82: /* O_DP=9 */ {addd,subd,muld,divdc,notdef,chsgnd,compd},
1.4 noro 83: /* O_USINT=10 */ {notdef,notdef,notdef,notdef,notdef,notdef,compui},
84: /* O_ERR=11 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
85: /* O_GF2MAT=12 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
86: /* O_MATHCAP=13 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
87: /* O_F=14 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
88: /* O_GFMMAT=15 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
89: /* O_BYTEARRAY=16 */ {notdef,notdef,notdef,notdef,notdef,notdef,compbytearray},
1.20 noro 90: /* O_QUOTE=17 */ {addquote,subquote,mulquote,divquote,pwrquote,chsgnquote,compquote},
1.11 noro 91: /* O_OPTLIST=18 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
92: /* O_SYMBOL=19 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
1.12 noro 93: /* O_RANGE=20 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
94: /* O_TB=21 */ {notdef,notdef,notdef,notdef,notdef,notdef,(int(*)())notdef},
1.14 noro 95: /* O_DPV=22 */ {adddv,subdv,muldv,notdef,notdef,chsgndv,compdv},
1.20 noro 96: /* O_QUOTEARG=23 */ {notdef,notdef,notdef,notdef,notdef,notdef,compqa},
1.19 saito 97: /* O_MAT=24 */ {AddMatI,SubMatI,MulMatG,notdef,notdef,ChsgnI,(int(*)())notdef},
1.25 noro 98: /* O_NBP=25 */ {addnbp,subnbp,mulnbp,notdef,pwrnbp,chsgnnbp,compnbp},
1.27 noro 99: /* O_DPM=26 */ {adddpm,subdpm,mulobjdpm,notdef,notdef,chsgndpm,compdpm},
1.1 noro 100: };
101:
1.26 noro 102: struct oAFUNC *afunc = &afunc0[1];
103:
1.1 noro 104: void arf_init() {
105: addfs = &arf[0]; addfs->name = "+"; addfs->fp = arf_add;
106: subfs = &arf[1]; subfs->name = "-"; subfs->fp = arf_sub;
107: mulfs = &arf[2]; mulfs->name = "*"; mulfs->fp = arf_mul;
108: divfs = &arf[3]; divfs->name = "/"; divfs->fp = arf_div;
109: remfs = &arf[4]; remfs->name = "%"; remfs->fp = arf_remain;
110: pwrfs = &arf[5]; pwrfs->name = "^"; pwrfs->fp = arf_pwr;
111: }
112:
1.26 noro 113: void arf_add(VL vl,Obj a,Obj b,Obj *r)
1.1 noro 114: {
115: int mid;
116:
117: if ( !a )
118: *r = b;
119: else if ( !b )
120: *r = a;
121: else if ( OID(a) == OID(b) )
122: (*afunc[OID(a)].add)(vl,a,b,r);
1.21 noro 123: else if ( (mid = MAX(OID(a),OID(b))) <= O_R || mid == O_QUOTE )
1.13 ohara 124: (*afunc[mid].add)(vl,a,b,r);
125: else if ( (mid = MAX(OID(a),OID(b))) == O_DP && MIN(OID(a),OID(b)) <= O_R )
1.1 noro 126: (*afunc[mid].add)(vl,a,b,r);
127: else
128: notdef(vl,a,b,r);
129: }
130:
1.26 noro 131: void arf_sub(VL vl,Obj a,Obj b,Obj *r)
1.1 noro 132: {
133: int mid;
134:
135: if ( !a )
136: if ( !b )
137: *r = 0;
138: else
139: (*afunc[OID(b)].chsgn)(b,r);
140: else if ( !b )
141: *r = a;
142: else if ( OID(a) == OID(b) )
143: (*afunc[OID(a)].sub)(vl,a,b,r);
1.21 noro 144: else if ( (mid = MAX(OID(a),OID(b))) <= O_R || mid == O_QUOTE )
1.15 ohara 145: (*afunc[mid].sub)(vl,a,b,r);
146: else if ( (mid = MAX(OID(a),OID(b))) == O_DP && MIN(OID(a),OID(b)) <= O_R )
1.1 noro 147: (*afunc[mid].sub)(vl,a,b,r);
148: else
149: notdef(vl,a,b,r);
150: }
151:
1.26 noro 152: void arf_mul(VL vl,Obj a,Obj b,Obj *r)
1.1 noro 153: {
1.10 noro 154: int mid,aid,bid;
1.1 noro 155:
1.9 noro 156: if ( !a && !b )
1.1 noro 157: *r = 0;
1.9 noro 158: else if ( !a || !b ) {
1.18 saito 159: if ( !a ) a = b;
1.9 noro 160: /* compute a*0 */
161: if ( OID(a) == O_MAT || OID(a) == O_VECT )
162: (*(afunc[O_MAT].mul))(vl,a,0,r);
1.18 saito 163: else if ( OID(a) == O_IMAT )
164: (*(afunc[O_IMAT].mul))(vl,0,a,r);
1.9 noro 165: else
166: *r = 0;
1.10 noro 167: } else if ( (aid = OID(a)) == (bid = OID(b)) )
168: (*(afunc[aid].mul))(vl,a,b,r);
1.21 noro 169: else if ( (mid = MAX(aid,bid)) <= O_R || mid == O_QUOTE )
1.1 noro 170: (*afunc[mid].mul)(vl,a,b,r);
1.10 noro 171: else {
172: switch ( aid ) {
1.24 noro 173: case O_N: case O_P: case O_NBP:
1.10 noro 174: (*afunc[mid].mul)(vl,a,b,r);
175: break;
176: case O_R:
177: /* rat * something; bid > O_R */
1.28 ! noro 178: if ( bid == O_VECT || bid == O_MAT || bid == O_DP || bid == O_DPM )
1.10 noro 179: (*afunc[mid].mul)(vl,a,b,r);
180: else
181: notdef(vl,a,b,r);
182: break;
183: case O_MAT:
184: if ( bid <= O_R || bid == O_VECT || bid == O_DP )
185: (*afunc[O_MAT].mul)(vl,a,b,r);
186: else
187: notdef(vl,a,b,r);
188: break;
189: case O_VECT:
190: if ( bid <= O_R || bid == O_DP )
191: (*afunc[O_VECT].mul)(vl,a,b,r);
192: else if ( bid == O_MAT )
193: (*afunc[O_MAT].mul)(vl,a,b,r);
194: else
195: notdef(vl,a,b,r);
196: break;
197: case O_DP:
1.27 noro 198: if ( bid <= O_R )
1.10 noro 199: (*afunc[O_DP].mul)(vl,a,b,r);
1.27 noro 200: else if ( bid == O_MAT || bid == O_VECT || bid == O_DPV || bid == O_DPM )
1.10 noro 201: (*afunc[bid].mul)(vl,a,b,r);
202: else
203: notdef(vl,a,b,r);
1.18 saito 204: break;
205: case O_IMAT:
206: (*afunc[O_IMAT].mul)(vl,a,b,r);
1.10 noro 207: break;
208: default:
209: notdef(vl,a,b,r);
210: break;
211: }
212: }
1.1 noro 213: }
214:
1.26 noro 215: void arf_div(VL vl,Obj a,Obj b,Obj *r)
1.1 noro 216: {
217: int mid;
218:
219: if ( !b )
220: error("div : division by 0");
221: if ( !a )
222: *r = 0;
223: else if ( (OID(a) == OID(b)) )
224: (*(afunc[OID(a)].div))(vl,a,b,r);
225: else if ( (mid = MAX(OID(a),OID(b))) <= O_R ||
1.21 noro 226: (mid == O_MAT) || (mid == O_VECT) || (mid == O_DP) || mid == O_QUOTE )
1.1 noro 227: (*afunc[mid].div)(vl,a,b,r);
228: else
229: notdef(vl,a,b,r);
230: }
231:
1.26 noro 232: void arf_remain(VL vl,Obj a,Obj b,Obj *r)
1.1 noro 233: {
234: if ( !b )
235: error("rem : division by 0");
236: else if ( !a )
237: *r = 0;
238: else if ( MAX(OID(a),OID(b)) <= O_P )
239: cmp((Q)b,(P)a,(P *)r);
240: else
241: notdef(vl,a,b,r);
242: }
243:
1.17 noro 244: int allow_laurent;
245:
1.26 noro 246: void arf_pwr(VL vl,Obj a,Obj e,Obj *r)
1.1 noro 247: {
248: R t;
249:
1.16 noro 250: if ( !a ) {
1.8 noro 251: if ( !e )
252: *r = (pointer)ONE;
1.16 noro 253: else if ( RATN(e) && SGN((Q)e)>0 )
254: *r = 0;
1.8 noro 255: else
1.16 noro 256: mkpow(vl,a,e,r);
1.22 noro 257: } else if ( !e ) {
1.9 noro 258: if ( OID(a) == O_MAT )
259: (*(afunc[O_MAT].pwr))(vl,a,e,r);
260: else
261: *r = (pointer)ONE;
1.22 noro 262: } else if ( OID(a) == O_QUOTE || OID(e) == O_QUOTE )
263: (*(afunc[O_QUOTE].pwr))(vl,a,e,r);
264: else if ( (OID(e) <= O_N) && INT(e) ) {
1.1 noro 265: if ( (OID(a) == O_P) && (SGN((Q)e) < 0) ) {
1.17 noro 266: if ( allow_laurent )
267: (*(afunc[O_P].pwr))(vl,a,e,r);
268: else {
269: MKRAT((P)a,(P)ONE,1,t);
270: (*(afunc[O_R].pwr))(vl,t,e,r);
271: }
1.1 noro 272: } else
273: (*(afunc[OID(a)].pwr))(vl,a,e,r);
1.17 noro 274: } else if ( (OID(e) <= O_N) && RATN(e) ) {
275: if ( (OID(a) == O_P) && allow_laurent )
276: (*(afunc[O_P].pwr))(vl,a,e,r);
277: else if ( OID(a) <= O_R )
278: mkpow(vl,a,e,r);
279: else
280: notdef(vl,a,e,r);
1.1 noro 281: } else if ( OID(a) <= O_R )
282: mkpow(vl,a,e,r);
283: else
284: notdef(vl,a,e,r);
285: }
286:
1.26 noro 287: void arf_chsgn(Obj a,Obj *r)
1.1 noro 288: {
289: if ( !a )
290: *r = 0;
291: else
292: (*(afunc[OID(a)].chsgn))(a,r);
293: }
294:
1.26 noro 295: int arf_comp(VL vl,Obj a,Obj b)
1.1 noro 296: {
297: if ( !a )
298: if ( !b )
299: return 0;
300: else
301: return (*afunc[OID(b)].comp)(vl,a,b);
302: else if ( !b )
303: return (*afunc[OID(a)].comp)(vl,a,b);
304: else if ( OID(a) != OID(b) )
305: return OID(a)>OID(b) ? 1 : -1;
306: else
307: return (*afunc[OID(a)].comp)(vl,a,b);
308: }
309:
1.26 noro 310: int complist(VL vl,LIST a,LIST b)
1.1 noro 311: {
1.7 noro 312: int t;
1.1 noro 313: NODE an,bn;
314:
315: if ( !a )
316: if ( !b )
317: return 0;
318: else
319: return -1;
320: else if ( !b )
321: return 1;
1.5 noro 322: for ( an = BDY(a), bn = BDY(b); an && bn; an = NEXT(an), bn = NEXT(bn) );
323: if ( an && !bn )
324: return 1;
325: else if ( !an && bn )
326: return -1;
1.1 noro 327: for ( an = BDY(a), bn = BDY(b); an; an = NEXT(an), bn = NEXT(bn) )
328: if ( t = arf_comp(vl,BDY(an),BDY(bn)) )
329: return t;
330: return 0;
1.26 noro 331: }
332:
333: int compvoid(VL vl,Obj a,Obj b)
334: {
335: if ( !a )
336: if ( !b ) return 0;
337: else return -1;
338: else if ( !b )
339: return 1;
340: else if ( OID(a) > OID(b) ) return 1;
341: else if ( OID(b) < OID(a) ) return -1;
342: else return 0;
1.1 noro 343: }
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