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1.1 ! noro 1: /* $OpenXM: OpenXM/src/asir99/engine/PD.c,v 1.1.1.1 1999/11/10 08:12:26 noro Exp $ */
! 2: #ifndef FBASE
! 3: #define FBASE
! 4: #endif
! 5:
! 6: #include "b.h"
! 7: #include "ca.h"
! 8:
! 9: void D_DIVSRP(vl,p1,p2,q,r)
! 10: VL vl;
! 11: P p1,p2;
! 12: P *q,*r;
! 13: {
! 14: register int i,j;
! 15: register DCP dc1,dc2,dc;
! 16: P m,s,dvr;
! 17: P *pq,*pr,*pd;
! 18: V v1,v2;
! 19: Q deg1,deg2;
! 20: int d1,d2,sgn;
! 21:
! 22: if ( !p1 ) {
! 23: *q = 0; *r = 0;
! 24: } else if ( NUM(p2) )
! 25: if ( NUM(p1) ) {
! 26: DIVNUM(p1,p2,q); *r = 0;
! 27: } else {
! 28: DIVSDCP(vl,p1,p2,q); *r = 0;
! 29: }
! 30: else if ( NUM(p1) ) {
! 31: *q = 0; *r = p1;
! 32: } else if ( ( v1 = VR(p1) ) == ( v2 = VR(p2) ) ) {
! 33: dc1 = DC(p1); dc2 = DC(p2);
! 34: deg1 = DEG(dc1); deg2 = DEG(dc2);
! 35: sgn = cmpq(deg1,deg2);
! 36: if ( sgn == 0 ) {
! 37: DIVSP(vl,COEF(dc1),COEF(dc2),q);
! 38: MULP(vl,p2,*q,&m); SUBP(vl,p1,m,r);
! 39: } else if ( sgn < 0 ) {
! 40: *q = 0; *r = p1;
! 41: } else {
! 42: if ( (PL(NM(deg1)) > 1) )
! 43: error("divsrp : invalid input");
! 44: d1 = QTOS(deg1); d2 = QTOS(deg2);
! 45: W_CALLOC(d1-d2,P,pq); W_CALLOC(d1,P,pr); W_CALLOC(d2,P,pd);
! 46: for ( dc = dc1; dc; dc = NEXT(dc) )
! 47: pr[QTOS(DEG(dc))] = COEF(dc);
! 48: for ( dc = dc2; dc; dc = NEXT(dc) )
! 49: pd[QTOS(DEG(dc))] = COEF(dc);
! 50: for ( dvr = COEF(dc2), i = d1 - d2; i >= 0; i-- ) {
! 51: if ( !pr[i+d2] )
! 52: continue;
! 53: DIVSP(vl,pr[i+d2],dvr,&pq[i]);
! 54: for ( j = d2; j >= 0; j-- ) {
! 55: MULP(vl,pq[i],pd[j],&m);
! 56: SUBP(vl,pr[i + j],m,&s); pr[i + j] = s;
! 57: }
! 58: }
! 59: plisttop(pq,v1,d1 - d2,q); plisttop(pr,v1,d1 - 1,r);
! 60: }
! 61: } else {
! 62: for ( ; (v1 != vl->v) && (v2 != vl->v); vl = NEXT(vl) );
! 63: if ( v2 == vl->v ) {
! 64: *q = 0; *r = p1;
! 65: } else
! 66: DIVSRDCP(vl,p1,p2,q,r);
! 67: }
! 68: }
! 69:
! 70: void D_DIVSRDCP(vl,p1,p2,q,r)
! 71: VL vl;
! 72: P p1,p2,*q,*r;
! 73: {
! 74:
! 75: P qc,rc;
! 76: DCP dc,dcq,dcq0,dcr,dcr0;
! 77:
! 78: for ( dc = DC(p1), dcq0 = 0, dcr0 = 0; dc; dc = NEXT(dc) ) {
! 79: DIVSRP(vl,COEF(dc),p2,&qc,&rc);
! 80: if ( qc ) {
! 81: NEXTDC(dcq0,dcq); DEG(dcq) = DEG(dc); COEF(dcq) = qc;
! 82: }
! 83: if ( rc ) {
! 84: NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); COEF(dcr) = rc;
! 85: }
! 86: }
! 87: if ( dcq0 ) {
! 88: NEXT(dcq) = 0; MKP(VR(p1),dcq0,*q);
! 89: } else
! 90: *q = 0;
! 91: if ( dcr0 ) {
! 92: NEXT(dcr) = 0; MKP(VR(p1),dcr0,*r);
! 93: } else
! 94: *r = 0;
! 95: }
! 96:
! 97: void D_DIVSP(vl,p1,p2,q)
! 98: VL vl;
! 99: P p1,p2,*q;
! 100: {
! 101: P t;
! 102:
! 103: DIVSRP(vl,p1,p2,q,&t);
! 104: if ( t )
! 105: error("divsp: cannot happen");
! 106: }
! 107:
! 108: void D_DIVSDCP(vl,p1,p2,q)
! 109: VL vl;
! 110: P p1,p2,*q;
! 111: {
! 112:
! 113: P m;
! 114: register DCP dc,dcr,dcr0;
! 115:
! 116: for ( dc = DC(p1), dcr0 = 0; dc; dc = NEXT(dc) ) {
! 117: DIVSP(vl,COEF(dc),p2,&m);
! 118: NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); COEF(dcr) = m; NEXT(dcr) = 0;
! 119: }
! 120: MKP(VR(p1),dcr0,*q);
! 121: }
! 122:
! 123: #ifdef FBASE
! 124: void plisttop(f,v,n,gp)
! 125: P *f;
! 126: V v;
! 127: int n;
! 128: P *gp;
! 129: {
! 130: int i;
! 131: DCP dc,dc0;
! 132:
! 133: for ( i = n; (i >= 0) && !f[i]; i-- );
! 134: if ( i < 0 )
! 135: *gp = 0;
! 136: else if ( i == 0 )
! 137: *gp = f[0];
! 138: else {
! 139: for ( dc0 = 0; i >= 0; i-- ) {
! 140: if ( !f[i] )
! 141: continue;
! 142: NEXTDC(dc0,dc);
! 143: if ( i )
! 144: STOQ(i,DEG(dc));
! 145: else
! 146: DEG(dc) = 0;
! 147: COEF(dc) = f[i];
! 148: }
! 149: NEXT(dc) = 0; MKP(v,dc0,*gp);
! 150: }
! 151: }
! 152:
! 153: int divtpz(vl,p1,p2,q)
! 154: VL vl;
! 155: P p1,p2,*q;
! 156: {
! 157: register int i,j;
! 158: register DCP dc1,dc2,dc;
! 159: P m,m1,s,dvr,t;
! 160: P *pq,*pr,*pd;
! 161: V v1,v2;
! 162: Q deg1,deg2;
! 163: int d1,d2,sgn;
! 164:
! 165: if ( !p1 ) {
! 166: *q = 0;
! 167: return ( 1 );
! 168: } else if ( NUM(p2) )
! 169: if ( NUM(p1) ) {
! 170: divq((Q)p1,(Q)p2,(Q *)&s);
! 171: if ( INT((Q)s) ) {
! 172: *q = s;
! 173: return ( 1 );
! 174: } else {
! 175: *q = 0;
! 176: return ( 0 );
! 177: }
! 178: } else
! 179: return ( divtdcpz(vl,p1,p2,q) );
! 180: else if ( NUM(p1) ) {
! 181: *q = 0;
! 182: return ( 0 );
! 183: } else if ( ( v1 = VR(p1) ) == ( v2 = VR(p2) ) ) {
! 184: Q csum1,csum2;
! 185:
! 186: csump(vl,p1,&csum1); csump(vl,p2,&csum2);
! 187: if ( csum2 && !divtpz(vl,(P)csum1,(P)csum2,&t) ) {
! 188: *q = 0;
! 189: return 0;
! 190: }
! 191: dc1 = DC(p1); dc2 = DC(p2);
! 192: deg1 = DEG(dc1); deg2 = DEG(dc2);
! 193: sgn = cmpq(deg1,deg2);
! 194: if ( sgn == 0 )
! 195: if ( !divtpz(vl,COEF(dc1),COEF(dc2),&m) ) {
! 196: *q = 0;
! 197: return ( 0 );
! 198: } else {
! 199: mulp(vl,p2,m,&m1); subp(vl,p1,m1,&s);
! 200: if ( !s ) {
! 201: *q = m;
! 202: return ( 1 );
! 203: } else {
! 204: *q = 0;
! 205: return ( 0 );
! 206: }
! 207: }
! 208: else if ( sgn < 0 ) {
! 209: *q = 0;
! 210: return ( 0 );
! 211: } else {
! 212: if ( (PL(NM(deg1)) > 1) ) {
! 213: error("divtpz : invalid input");
! 214: *q = 0;
! 215: return ( 0 );
! 216: }
! 217: d1 = QTOS(deg1); d2 = QTOS(deg2);
! 218: W_CALLOC(d1-d2,P,pq); W_CALLOC(d1,P,pr); W_CALLOC(d2,P,pd);
! 219: for ( dc = dc1; dc; dc = NEXT(dc) )
! 220: pr[QTOS(DEG(dc))] = COEF(dc);
! 221: for ( dc = dc2; dc; dc = NEXT(dc) )
! 222: pd[QTOS(DEG(dc))] = COEF(dc);
! 223: for ( dvr = COEF(dc2), i = d1 - d2; i >= 0; i-- )
! 224: if ( !pr[i+d2] )
! 225: continue;
! 226: else if ( !divtpz(vl,pr[i+d2],dvr,&m) ) {
! 227: *q = 0;
! 228: return ( 0 );
! 229: } else {
! 230: pq[i] = m;
! 231: for ( j = d2; j >= 0; j-- ) {
! 232: mulp(vl,pq[i],pd[j],&m);
! 233: subp(vl,pr[i + j],m,&s); pr[i + j] = s;
! 234: }
! 235: }
! 236: plisttop(pq,v1,d1 - d2,&m); plisttop(pr,v1,d1 - 1,&t);
! 237: if ( t ) {
! 238: *q = 0;
! 239: return ( 0 );
! 240: } else {
! 241: *q = m;
! 242: return ( 1 );
! 243: }
! 244: }
! 245: } else {
! 246: for ( ; (v1 != vl->v) && (v2 != vl->v); vl = NEXT(vl) );
! 247: if ( v2 == vl->v ) {
! 248: *q = 0;
! 249: return ( 0 );
! 250: } else
! 251: return ( divtdcpz(vl,p1,p2,q) ) ;
! 252: }
! 253: }
! 254:
! 255: int divtdcpz(vl,p1,p2,q)
! 256: VL vl;
! 257: P p1,p2,*q;
! 258: {
! 259:
! 260: P m;
! 261: register DCP dc,dcr,dcr0;
! 262:
! 263: for ( dc = DC(p1), dcr0 = 0; dc; dc = NEXT(dc) )
! 264: if ( !divtpz(vl,COEF(dc),p2,&m) ) {
! 265: *q = 0;
! 266: return ( 0 );
! 267: } else {
! 268: NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); COEF(dcr) = m; NEXT(dcr) = 0;
! 269: }
! 270: MKP(VR(p1),dcr0,*q);
! 271: return ( 1 );
! 272: }
! 273:
! 274: void udivpz(f1,f2,fqp,frp)
! 275: P f1,f2,*fqp,*frp;
! 276: {
! 277: register int n1,n2,i,j;
! 278: Q *pq,*pr,*pd,d,m,s,q;
! 279: DCP dc;
! 280: N qn,rn;
! 281:
! 282: if ( !f2 )
! 283: error("udivpz: division by 0");
! 284: else if ( !f1 ) {
! 285: *fqp = *frp = 0;
! 286: return;
! 287: } else if ( NUM(f1) )
! 288: if ( NUM(f2) ) {
! 289: divn(NM((Q)f1),NM((Q)f2),&qn,&rn);
! 290: if ( rn ) {
! 291: *fqp = *frp = 0;
! 292: } else {
! 293: NTOQ(qn,SGN((Q)f1)*SGN((Q)f2),q),*fqp = (P)q; *frp = 0;
! 294: }
! 295: return;
! 296: } else {
! 297: *fqp = 0; *frp = f1;
! 298: return;
! 299: }
! 300: else if ( NUM(f2) ) {
! 301: n1 = UDEG(f1); W_CALLOC(n1,Q,pq);
! 302: for ( dc = DC(f1); dc; dc = NEXT(dc) ) {
! 303: divn(NM((Q)COEF(dc)),NM((Q)f2),&qn,&rn);
! 304: if ( rn ) {
! 305: *fqp = *frp = 0;
! 306: return;
! 307: } else {
! 308: NTOQ(qn,SGN((Q)COEF(dc))*SGN((Q)f2),s); pq[QTOS(DEG(dc))] = s;
! 309: }
! 310: }
! 311: plisttop((P *)pq,VR(f1),n1,fqp);
! 312: return;
! 313: }
! 314: n1 = UDEG(f1); n2 = UDEG(f2);
! 315: if ( n1 < n2 ) {
! 316: *fqp = NULL; *frp = f1;
! 317: return;
! 318: }
! 319: W_CALLOC(n1-n2,Q,pq); W_CALLOC(n1,Q,pr); W_CALLOC(n2,Q,pd);
! 320: for ( dc = DC(f1); dc; dc = NEXT(dc) )
! 321: pr[QTOS(DEG(dc))] = (Q)COEF(dc);
! 322: for ( dc = DC(f2); dc; dc = NEXT(dc) )
! 323: pd[QTOS(DEG(dc))] = (Q)COEF(dc);
! 324: for ( d = (Q)UCOEF(f2), i = n1 - n2; i >= 0; i-- ) {
! 325: if ( !pr[i+n2] )
! 326: continue;
! 327: divn(NM(pr[i+n2]),NM(d),&qn,&rn);
! 328: if ( rn ) {
! 329: *fqp = *frp = 0;
! 330: return;
! 331: }
! 332: NTOQ(qn,SGN(pr[i+n2])*SGN(d),pq[i]);
! 333: for ( j = n2; j >= 0; j-- ) {
! 334: mulq(pq[i],pd[j],&m); subq(pr[i+j],m,&s); pr[i+j] = s;
! 335: }
! 336: }
! 337: plisttop((P *)pq,VR(f1),n1-n2,fqp); plisttop((P *)pr,VR(f1),n2-1,frp);
! 338: }
! 339:
! 340: void udivpwm(mod,p1,p2,q,r)
! 341: Q mod;
! 342: P p1,p2;
! 343: P *q,*r;
! 344: {
! 345: P s,t,u,tq,tr;
! 346:
! 347: invl((Q)UCOEF(p2),mod,(Q *)&t); mulpq(p2,t,&s); cmp(mod,s,&u);
! 348: udivpzwm(mod,p1,u,&tq,&tr);
! 349: cmp(mod,tr,r); mulpq(tq,t,&s); cmp(mod,s,q);
! 350: }
! 351:
! 352: void udivpzwm(mod,f1,f2,fqp,frp)
! 353: Q mod;
! 354: P f1,f2,*fqp,*frp;
! 355: {
! 356: register int n1,n2,i,j;
! 357: Q *pq,*pr,*pd,d,m,s,q;
! 358: DCP dc;
! 359: N qn,rn;
! 360:
! 361: if ( !f2 )
! 362: error("udivpz: division by 0");
! 363: else if ( !f1 ) {
! 364: *fqp = *frp = 0;
! 365: return;
! 366: } else if ( NUM(f1) )
! 367: if ( NUM(f2) ) {
! 368: divn(NM((Q)f1),NM((Q)f2),&qn,&rn);
! 369: if ( rn ) {
! 370: *fqp = *frp = 0;
! 371: } else {
! 372: NTOQ(qn,SGN((Q)f1)*SGN((Q)f2),q),*fqp = (P)q; *frp = 0;
! 373: }
! 374: return;
! 375: } else {
! 376: *fqp = 0; *frp = f1;
! 377: return;
! 378: }
! 379: else if ( NUM(f2) ) {
! 380: n1 = UDEG(f1); W_CALLOC(n1,Q,pq);
! 381: for ( dc = DC(f1); dc; dc = NEXT(dc) ) {
! 382: divn(NM((Q)COEF(dc)),NM((Q)f2),&qn,&rn);
! 383: if ( rn ) {
! 384: *fqp = *frp = 0;
! 385: return;
! 386: } else {
! 387: NTOQ(qn,SGN((Q)COEF(dc))*SGN((Q)f2),s); pq[QTOS(DEG(dc))] = s;
! 388: }
! 389: }
! 390: plisttop((P *)pq,VR(f1),n1,fqp);
! 391: return;
! 392: }
! 393: n1 = UDEG(f1); n2 = UDEG(f2);
! 394: if ( n1 < n2 ) {
! 395: *fqp = NULL; *frp = f1;
! 396: return;
! 397: }
! 398: W_CALLOC(n1-n2,Q,pq); W_CALLOC(n1,Q,pr); W_CALLOC(n2,Q,pd);
! 399: for ( dc = DC(f1); dc; dc = NEXT(dc) )
! 400: pr[QTOS(DEG(dc))] = (Q)COEF(dc);
! 401: for ( dc = DC(f2); dc; dc = NEXT(dc) )
! 402: pd[QTOS(DEG(dc))] = (Q)COEF(dc);
! 403: for ( d = (Q)UCOEF(f2), i = n1 - n2; i >= 0; i-- ) {
! 404: if ( !pr[i+n2] )
! 405: continue;
! 406: divn(NM(pr[i+n2]),NM(d),&qn,&rn);
! 407: if ( rn ) {
! 408: *fqp = *frp = 0;
! 409: return;
! 410: }
! 411: NTOQ(qn,SGN(pr[i+n2])*SGN(d),pq[i]);
! 412: for ( j = n2; j >= 0; j-- ) {
! 413: mulq(pq[i],pd[j],&m); remq(m,mod,&s);
! 414: subq(pr[i+j],s,&m); remq(m,mod,&s); pr[i+j] = s;
! 415: }
! 416: }
! 417: plisttop((P *)pq,VR(f1),n1-n2,fqp); plisttop((P *)pr,VR(f1),n2-1,frp);
! 418: }
! 419: #endif