Annotation of OpenXM_contrib2/asir2018/plot/calc.c, Revision 1.1
1.1 ! 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
! 26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
! 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: *
! 48: * $OpenXM$
! 49: */
! 50: #include "ca.h"
! 51: #include "parse.h"
! 52: #include "ifplot.h"
! 53: #include <math.h>
! 54: #if defined(PARI)
! 55: #include "genpari.h"
! 56: #endif
! 57:
! 58: #ifndef MAXSHORT
! 59: #define MAXSHORT ((short)0x7fff)
! 60: #endif
! 61:
! 62: void calc(double **tab,struct canvas *can,int nox){
! 63: //memory_plot,IFPLOTD,INEQND,INEQNANDD,INEQNORD
! 64: //INEQNXORD,conplotmainD
! 65: double x,y,xstep,ystep;
! 66: int ix,iy;
! 67: Real r,rx,ry;
! 68: Obj fr,g,t,s;
! 69:
! 70: if(!nox)initmarker(can,"Evaluating...");
! 71: todouble((Obj)can->formula,(Obj *)&fr);
! 72: xstep=(can->xmax-can->xmin)/can->width;
! 73: ystep=(can->ymax-can->ymin)/can->height;
! 74: MKReal(1.0,rx); MKReal(1.0,ry); // dummy real
! 75: BDY(rx)=can->xmin;
! 76: substr(CO,0,fr,can->vx,can->xmin?(Obj)rx:0,&t); devalr(CO,t,&g);
! 77: BDY(ry)=can->ymin;
! 78: substr(CO,0,g,can->vy,can->ymin?(Obj)ry:0,&t); devalr(CO,t,&s);
! 79: can->vmax=can->vmin=ToReal(s);
! 80: for(ix=0,x=can->xmin; ix<can->width; ix++,x+=xstep){
! 81: BDY(rx)=x; substr(CO,0,fr,can->vx,x?(Obj)rx:0,&t);
! 82: devalr(CO,t,&g);
! 83: if(!nox)marker(can,DIR_X,ix);
! 84: for(iy=0,y=can->ymin; iy<can->height; iy++,y+=ystep){
! 85: BDY(ry)=y;
! 86: substr(CO,0,g,can->vy,y?(Obj)ry:0,&t);
! 87: devalr(CO,t,&s);
! 88: tab[ix][iy]=ToReal(s);
! 89: if(can->vmax<tab[ix][iy])can->vmax=tab[ix][iy];
! 90: if(can->vmin>tab[ix][iy])can->vmin=tab[ix][iy];
! 91: }
! 92: }
! 93: }
! 94:
! 95: void calcq(double **tab,struct canvas *can,int nox){
! 96: //IFPLOTQ,INEQNQ,INEQNANDQ,INEQNORQ,INEQNXORQ
! 97: //plotoverD
! 98: Z w,h,q1;
! 99: Q dx,dy,xstep,ystep,c;
! 100: P g,g1,f1,f2,x,y;
! 101: int ix,iy;
! 102: Obj fr,gm,t,s;
! 103: Real r,rx,ry;
! 104:
! 105: todouble((Obj)can->formula,&fr);
! 106: MKReal(1.0,rx); MKReal(1.0,ry); // dummy real
! 107: BDY(rx)=can->xmin;
! 108: substr(CO,0,fr,can->vx,can->xmin?(Obj)rx:0,&t); devalr(CO,t,&gm);
! 109: BDY(ry)=can->ymin;
! 110: substr(CO,0,gm,can->vy,can->ymin?(Obj)ry:0,&t); devalr(CO,t,&s);
! 111: can->vmax=can->vmin=ToReal(s);
! 112:
! 113: subq(can->qxmax,can->qxmin,&dx); STOQ(can->width,w); divq(dx,(Q)w,&xstep);
! 114: subq(can->qymax,can->qymin,&dy); STOQ(can->height,h); divq(dy,(Q)h,&ystep);
! 115: MKV(can->vx,x); mulp(CO,(P)xstep,x,(P *)&t);
! 116: addp(CO,(P)can->qxmin,(P)t,(P *)&s); substp(CO,can->formula,can->vx,(P)s,&f1);
! 117: MKV(can->vy,y); mulp(CO,(P)ystep,y,(P *)&t);
! 118: addp(CO,(P)can->qymin,(P)t,(P *)&s); substp(CO,f1,can->vy,(P)s,&f2);
! 119: ptozp(f2,1,&c,&g);
! 120: if(!nox) initmarker(can,"Evaluating...");
! 121: for(iy=0;iy<can->height;iy++){
! 122: marker(can,DIR_Y,iy);
! 123: STOQ(iy,q1); substp(CO,g,can->vy,(P)q1,(P *)&t); ptozp((P)t,1,&c,&g1);
! 124: for(ix=0;ix<can->width;ix++){
! 125: STOQ(ix,q1);substp(CO,g1,can->vx,(P)q1,(P *)&t);
! 126: devalr(CO,t,&s);
! 127: tab[ix][iy]=ToReal(s);
! 128: if(can->vmax<tab[ix][iy])can->vmax=tab[ix][iy];
! 129: if(can->vmin>tab[ix][iy])can->vmin=tab[ix][iy];
! 130: }
! 131: }
! 132: }
! 133:
! 134: void calcb(double **tab,struct canvas *can,int nox){
! 135: //IFPLOTB,INEQNB,INEQNANDB,INEQNORB,INEQNXORB
! 136: Z w,h,q1;
! 137: Q dx,dy,xstep,ystep,c;
! 138: P g,g1,f1,f2,x,y,t,s;
! 139: int ix,iy,*a,*pa;
! 140: VECT ss;
! 141: Obj fr,gm,tm,sm;
! 142: Real r,rx,ry;
! 143:
! 144: todouble((Obj)can->formula,&fr);
! 145: MKReal(1.0,rx); MKReal(1.0,ry); // dummy real
! 146: BDY(rx)=can->xmin;
! 147: substr(CO,0,fr,can->vx,can->xmin?(Obj)rx:0,&tm); devalr(CO,tm,&gm);
! 148: BDY(ry)=can->ymin;
! 149: substr(CO,0,gm,can->vy,can->ymin?(Obj)ry:0,&tm); devalr(CO,tm,&sm);
! 150: can->vmax=can->vmin=ToReal(sm);
! 151:
! 152: for(iy=0;iy<can->height;iy++)for(ix=0;ix<can->width;ix++)tab[ix][iy]=1.0;
! 153: subq(can->qxmax,can->qxmin,&dx); STOQ(can->width,w); divq(dx,(Q)w,&xstep);
! 154: subq(can->qymax,can->qymin,&dy); STOQ(can->height,h); divq(dy,(Q)h,&ystep);
! 155: MKV(can->vx,x); mulp(CO,(P)xstep,x,&t);
! 156: addp(CO,(P)can->qxmin,t,&s); substp(CO,can->formula,can->vx,s,&f1);
! 157: MKV(can->vy,y); mulp(CO,(P)ystep,y,&t);
! 158: addp(CO,(P)can->qymin,t,&s); substp(CO,f1,can->vy,s,&f2);
! 159: ptozp(f2,1,&c,&g);
! 160: a=(int *)ALLOCA((MAX(can->width,can->height)+1)*sizeof(int));
! 161: for(iy=0;iy<can->height;iy++)for(ix=0;ix<can->width;ix++)tab[ix][iy]=1.0;
! 162: subq(can->qxmax,can->qxmin,&dx); STOQ(can->width,w); divq(dx,(Q)w,&xstep);
! 163: subq(can->qymax,can->qymin,&dy); STOQ(can->height,h); divq(dy,(Q)h,&ystep);
! 164: MKV(can->vx,x); mulp(CO,(P)xstep,x,&t);
! 165: addp(CO,(P)can->qxmin,t,&s); substp(CO,can->formula,can->vx,s,&f1);
! 166: MKV(can->vy,y); mulp(CO,(P)ystep,y,&t);
! 167: addp(CO,(P)can->qymin,t,&s); substp(CO,f1,can->vy,s,&f2);
! 168: ptozp(f2,1,&c,&g);
! 169: a=(int *)ALLOCA((MAX(can->width,can->height)+1)*sizeof(int));
! 170: for(ix=0;ix<can->width;ix++){
! 171: STOQ(ix,q1); substp(CO,g,can->vx,(P)q1,&t); ptozp(t,1,&c,&g1);
! 172: if(!g1)for(iy=0;iy<can->height;iy++)tab[ix][iy]=0.0;
! 173: else if(!NUM(g1)){
! 174: sturmseq(CO,g1,&ss);
! 175: seproot(ss,0,can->width,a);
! 176: for(iy=0,pa=a;iy<can->height;iy++,pa++){
! 177: if(*pa<0||(*(pa+1)>=0&&(*pa>*(pa+1))))tab[ix][iy]=0.0;
! 178: else {
! 179: STOQ(iy,q1);substp(CO,g1,can->vy,(P)q1,&t);
! 180: devalr(CO,(Obj)t,(Obj *)&s);
! 181: tab[ix][iy]=ToReal(s);
! 182: if(can->vmax<tab[ix][iy])can->vmax=tab[ix][iy];
! 183: if(can->vmin>tab[ix][iy])can->vmin=tab[ix][iy];
! 184: }
! 185: }
! 186: }
! 187: }
! 188: for(iy=0;iy<can->height;iy++){
! 189: STOQ(iy,q1); substp(CO,g,can->vy,(P)q1,&t); ptozp(t,1,&c,&g1);
! 190: if(!g1) for(ix=0;ix<can->width;ix++)tab[ix][iy]=0.0;
! 191: else if(!NUM(g1)){
! 192: sturmseq(CO,g1,&ss);
! 193: seproot(ss,0,can->height,a);
! 194: for(ix=0,pa=a;ix<can->width;ix++,pa++){
! 195: if(tab[ix][iy]!=0.0){
! 196: if(*pa<0||(*(pa+1)>=0&&(*pa>*(pa+1))))tab[ix][iy]=0.0;
! 197: else {
! 198: STOQ(ix,q1);substp(CO,g1,can->vx,(P)q1,&t);
! 199: devalr(CO,(Obj)t,(Obj *)&s);
! 200: tab[ix][iy]=ToReal(s);
! 201: if(can->vmax<tab[ix][iy])can->vmax=tab[ix][iy];
! 202: if(can->vmin>tab[ix][iy])can->vmin=tab[ix][iy];
! 203: }
! 204: }
! 205: }
! 206: }
! 207: }
! 208: }
! 209:
! 210: double usubstrp(P p,double r){
! 211: DCP dc;
! 212: int d;
! 213: double t,pwrreal0();
! 214:
! 215: if(!p) t=0.0;
! 216: else if(NUM(p))t=BDY((Real)p);
! 217: else {
! 218: dc=DC(p); t=BDY((Real)COEF(dc));
! 219: for(d=QTOS(DEG(dc)),dc=NEXT(dc);dc;d=QTOS(DEG(dc)),dc=NEXT(dc)){
! 220: t=t*pwrreal0(r,(d-QTOS(DEG(dc))))+BDY((Real)COEF(dc));
! 221: }
! 222: if(d)t*=pwrreal0(r,d);
! 223: }
! 224: return t;
! 225: }
! 226:
! 227: void qcalc(char **tab,struct canvas *can){
! 228: //qifplotmain(Old type)
! 229: Z w,h,q1;
! 230: Q dx,dy,xstep,ystep,c;
! 231: P g,g1,f1,f2,x,y,t,s;
! 232: int ix,iy;
! 233: int *a,*pa;
! 234: VECT ss;
! 235:
! 236: subq(can->qxmax,can->qxmin,&dx); STOQ(can->width,w); divq(dx,(Q)w,&xstep);
! 237: subq(can->qymax,can->qymin,&dy); STOQ(can->height,h); divq(dy,(Q)h,&ystep);
! 238: MKV(can->vx,x); mulp(CO,(P)xstep,x,&t);
! 239: addp(CO,(P)can->qxmin,t,&s); substp(CO,can->formula,can->vx,s,&f1);
! 240: MKV(can->vy,y); mulp(CO,(P)ystep,y,&t);
! 241: addp(CO,(P)can->qymin,t,&s); substp(CO,f1,can->vy,s,&f2);
! 242: ptozp(f2,1,&c,&g);
! 243: a=(int *)ALLOCA((MAX(can->width,can->height)+1)*sizeof(int));
! 244: initmarker(can,"Horizontal scan...");
! 245: for( ix=0; ix < can->width; ix++ ){
! 246: marker(can,DIR_X,ix);
! 247: STOQ(ix,q1); substp(CO,g,can->vx,(P)q1,&t); ptozp(t,1,&c,&g1);
! 248: if( !g1 )
! 249: for(iy=0; iy < can->height; iy++ )
! 250: tab[ix][iy]=1;
! 251: else if( !NUM(g1) ){
! 252: sturmseq(CO,g1,&ss); seproot(ss,0,can->height,a);
! 253: for(iy=0, pa=a; iy < can->height; iy++, pa++ )
! 254: if( *pa < 0 || (*(pa+1) >= 0 && (*pa > *(pa+1))) )
! 255: tab[ix][iy]=1;
! 256: }
! 257: }
! 258: initmarker(can,"Vertical scan...");
! 259: for( iy=0; iy < can->height; iy++ ){
! 260: marker(can,DIR_Y,iy);
! 261: STOQ(iy,q1); substp(CO,g,can->vy,(P)q1,&t); ptozp(t,1,&c,&g1);
! 262: if( !g1 )
! 263: for(ix=0; ix < can->width; ix++ )
! 264: tab[ix][iy]=1;
! 265: else if( !NUM(g1) ){
! 266: sturmseq(CO,g1,&ss); seproot(ss,0,can->width,a);
! 267: for(ix=0, pa=a; ix < can->width; ix++, pa++ )
! 268: if( *pa < 0 || (*(pa+1) >= 0 && (*pa > *(pa+1))) )
! 269: tab[ix][iy]=1;
! 270: }
! 271: }
! 272: }
! 273:
! 274: void sturmseq(VL vl,P p,VECT *rp){
! 275: P g1,g2,q,r,s,*t;
! 276: V v;
! 277: VECT ret;
! 278: int i,j;
! 279: Q b,c,l,m,h,x;
! 280: Z d,a;
! 281:
! 282: v=VR(p);t=(P *)ALLOCA((deg(v,p)+1)*sizeof(P));
! 283: g1=t[0]=p;diffp(vl,p,v,(P *)&a);ptozp((P)a,1,&c,&g2);t[1]=g2;
! 284: for(i=1,h=(Q)ONE,x=(Q)ONE;;){
! 285: if(NUM(g2)) break;
! 286: subz(DEG(DC(g1)),DEG(DC(g2)),&d);
! 287: l=(Q)LC(g2);
! 288: if(sgnq(l)<0){
! 289: chsgnq(l,&b);l=b;
! 290: }
! 291: addz(d,ONE,&a);pwrq(l,(Q)a,&b);mulp(vl,(P)b,g1,&s);
! 292: divsrp(vl,s,g2,&q,&r);
! 293: if(!r) break;
! 294: chsgnp(r,&s);r=s;i++;
! 295: if(NUM(r)){
! 296: t[i]=r;break;
! 297: }
! 298: pwrq(h,(Q)d,&m);g1=g2;
! 299: mulq(m,x,(Q *)&a);divsp(vl,r,(P)a,&g2);t[i]=g2;
! 300: x=(Q)LC(g1);
! 301: if(sgnq(x)<0){
! 302: chsgnq(x,&b);x=b;
! 303: }
! 304: pwrq(x,(Q)d,(Q *)&a);mulq((Q)a,h,&b);divq(b,m,&h);
! 305: }
! 306: MKVECT(ret,i+1);
! 307: for(j=0;j<=i;j++)
! 308: ret->body[j]=(pointer)t[j];
! 309: *rp=ret;
! 310: }
! 311:
! 312: void seproot(VECT s,int min,int max,int *ar){
! 313: P f,*ss;
! 314: Q t;
! 315: Z q;
! 316: int i,j,k;
! 317:
! 318: ss=(P *)s->body;f=ss[0];
! 319: for(i=min;i<=max;i++){
! 320: STOQ(i,q);usubstqp(f,(Q)q,&t);
! 321: if(!t)ar[i]=-1;
! 322: else {
! 323: ar[i]=numch(s,(Q)q,t);break;
! 324: }
! 325: }
! 326: if(i>max) return;
! 327: for(j=max;j>= min;j--){
! 328: STOQ(j,q); usubstqp(f,(Q)q,&t);
! 329: if(!t)ar[j]=-1;
! 330: else {
! 331: if(i!=j)ar[j]=numch(s,(Q)q,t);
! 332: break;
! 333: }
! 334: }
! 335: if(j<=i+1) return;
! 336: if(ar[i]==ar[j]){
! 337: for(k=i+1;k<j;k++)ar[k]=ar[i];
! 338: return;
! 339: }
! 340: k=(i+j)/2;
! 341: seproot(s,i,k,ar);
! 342: seproot(s,k,j,ar);
! 343: }
! 344:
! 345: int numch(VECT s,Q n,Q a0){
! 346: int len,i,c;
! 347: Q a;
! 348: P *ss;
! 349:
! 350: len=s->len;ss=(P *)s->body;
! 351: for(i=1,c=0;i<len;i++){
! 352: usubstqp(ss[i],n,&a);
! 353: if(a){
! 354: if((sgnq(a)>0 && sgnq(a0)<0)||(sgnq(a)<0&&sgnq(a0)>0))c++;
! 355: a0=a;
! 356: }
! 357: }
! 358: return c;
! 359: }
! 360:
! 361: void usubstqp(P p,Q r,Q *v){
! 362: Q a,b,t;
! 363: Z d,d1;
! 364: DCP dc;
! 365:
! 366: if(!p)
! 367: *v=0;
! 368: else if(NUM(p))*v=(Q)p;
! 369: else {
! 370: dc=DC(p);t=(Q)COEF(dc);
! 371: for(d=DEG(dc),dc=NEXT(dc);dc;d=DEG(dc),dc=NEXT(dc)){
! 372: subz(d,DEG(dc),&d1);pwrq(r,(Q)d1,&a);
! 373: mulq(t,a,&b);addq(b,(Q)COEF(dc),&t);
! 374: }
! 375: if(d){
! 376: pwrq(r,(Q)d,&a);mulq(t,a,&b);t=b;
! 377: }
! 378: *v=t;
! 379: }
! 380: }
! 381:
! 382: Num tobf(Num,int);
! 383: void Psetprec(NODE arg,Obj *rp);
! 384:
! 385: void plotcalcbf(struct canvas *can){
! 386: Obj fr,s,t;
! 387: Num xmin,xmax,ymin,ymax,xstep;
! 388: Num u,v,ha,dx,dy,x;
! 389: Num *tab;
! 390: Real r;
! 391: int ix;
! 392: POINT *pa;
! 393: double rr;
! 394: Z prec,w,h1;
! 395: NODE arg;
! 396:
! 397: STOQ(can->prec,prec); arg = mknode(1,prec); Psetprec(arg,&t);
! 398: evalr(CO,(Obj)can->formula,can->prec,&fr);
! 399: MKReal(can->xmin,r); xmin = tobf((Num)r,can->prec);
! 400: MKReal(can->xmax,r); xmax = tobf((Num)r,can->prec);
! 401: MKReal(can->ymin,r); ymin = tobf((Num)r,can->prec);
! 402: MKReal(can->ymax,r); ymax = tobf((Num)r,can->prec);
! 403: STOQ(can->width,w);
! 404: subbf(xmax,xmin,&dx); divbf(dx,(Num)w,&xstep);
! 405: tab=(Num *)MALLOC(can->width*sizeof(Num));
! 406: for(ix=0,x=xmin;ix<can->width;ix++){
! 407: substr(CO,0,fr,can->vx,(Obj)x,(Obj *)&s);
! 408: evalr(CO,(Obj)s,can->prec,&t);
! 409: if(t&&(OID(t)!=O_N))
! 410: error("plotcalcbf : invalid evaluation");
! 411: tab[ix]=(Num)t;
! 412: addbf(x,xstep,&u); x = u;
! 413: }
! 414: if(!cmpbf(ymax,ymin)){
! 415: for(ymax=ymin=tab[0],ix=1;ix<can->width;ix++){
! 416: if(cmpbf(tab[ix],ymax)>0)ymax=tab[ix];
! 417: if(cmpbf(tab[ix],ymin)<0)ymin=tab[ix];
! 418: }
! 419: can->ymax=ToReal(ymax);can->ymin=ToReal(ymin);
! 420: }
! 421: subbf(ymax,ymin,&dy);
! 422: can->pa=(struct pa *)MALLOC(sizeof(struct pa));
! 423: can->pa[0].length=can->width;
! 424: can->pa[0].pos=pa=(POINT *)MALLOC(can->width*sizeof(POINT));
! 425: STOQ(can->height-1,h1);
! 426: for(ix=0;ix<can->width;ix++){
! 427: XC(pa[ix])=ix;
! 428: subbf(ymax,tab[ix],&u); divbf(u,dy,&v); mulbf(v,(Num)h1,&u);
! 429: rr = ToReal(u);
! 430: if(rr>MAXSHORT)YC(pa[ix])=MAXSHORT;
! 431: else if(rr<-MAXSHORT)YC(pa[ix])=-MAXSHORT;
! 432: else YC(pa[ix])=(long)rr;
! 433: }
! 434: }
! 435:
! 436: void plotcalc(struct canvas *can){
! 437: //plot,memory_plot,plotover,plot_resize
! 438: double x,xmin,xstep,ymax,ymin,dy,*tab,usubstrp();
! 439: int ix,w,h;
! 440: Real r,rx;
! 441: Obj fr,t,s;
! 442: POINT *pa;
! 443:
! 444: if ( can->prec ) {
! 445: plotcalcbf(can);
! 446: return;
! 447: }
! 448: todouble((Obj)can->formula,&fr);
! 449: w=can->width;h=can->height;
! 450: xmin=can->xmin;xstep=(can->xmax-can->xmin)/w;
! 451: tab=(double *)ALLOCA(w*sizeof(double));
! 452: MKReal(1,rx); // dummy real number
! 453: for(ix=0,x=xmin;ix<w;ix++,x+=xstep){
! 454: // full substitution
! 455: BDY(rx)=x;
! 456: substr(CO,0,fr,can->vx,x?(Obj)rx:0,&s);
! 457: devalr(CO,(Obj)s,&t);
! 458: if(t&&(OID(t)!=O_N||NID((Num)t)!=N_R))
! 459: error("plotcalc : invalid evaluation");
! 460: tab[ix]=ToReal((Num)t);
! 461: }
! 462: if(can->ymax==can->ymin){
! 463: for(ymax=ymin=tab[0],ix=1;ix<w;ix++){
! 464: if(tab[ix]>ymax)ymax=tab[ix];
! 465: if(tab[ix]<ymin)ymin=tab[ix];
! 466: }
! 467: can->ymax=ymax;can->ymin=ymin;
! 468: } else {
! 469: ymax=can->ymax;ymin=can->ymin;
! 470: }
! 471: dy=ymax-ymin;
! 472: can->pa=(struct pa *)MALLOC(sizeof(struct pa));
! 473: can->pa[0].length=w;
! 474: can->pa[0].pos=pa=(POINT *)MALLOC(w*sizeof(POINT));
! 475: for(ix=0;ix<w;ix++){
! 476: double t;
! 477: XC(pa[ix])=ix;
! 478: t=(h-1)*(ymax-tab[ix])/dy;
! 479: if(t>MAXSHORT)YC(pa[ix])=MAXSHORT;
! 480: else if(t<-MAXSHORT)YC(pa[ix])=-MAXSHORT;
! 481: else YC(pa[ix])=(long)t;
! 482: }
! 483: }
! 484:
! 485: void polarcalc(struct canvas *can){
! 486: double xmax,xmin,ymax,ymin,dx,dy,pmin,pstep,tr,p,*tabx,*taby;
! 487: double usubstrp();
! 488: int i,nstep,w,h;
! 489: POINT *pa;
! 490: Real r;
! 491: Obj fr,t,s;
! 492:
! 493: todouble((Obj)can->formula,&fr);
! 494: w=can->width; h=can->height; nstep=can->nzstep;
! 495: pmin=can->zmin; pstep=(can->zmax-can->zmin)/nstep;
! 496: tabx=(double *)ALLOCA(nstep*sizeof(double));
! 497: taby=(double *)ALLOCA(nstep*sizeof(double));
! 498: MKReal(1,r); // dummy real number
! 499:
! 500: for(i=0,p=pmin;i<nstep;i++,p+= pstep){
! 501: // full substitution
! 502: BDY(r)=p;
! 503: substr(CO,0,fr,can->vx,p?(Obj)r:0,&s);
! 504: devalr(CO,(Obj)s,&t);
! 505: if(t&&(OID(t)!=O_N||NID((Num)t)!=N_R))
! 506: error("polarcalc : invalid evaluation");
! 507: tr=ToReal((Num)t);
! 508: tabx[i]=tr*cos(p);
! 509: taby[i]=tr*sin(p);
! 510: }
! 511: xmax=xmin=tabx[0];
! 512: ymax=ymin=taby[0];
! 513: for(i=1;i<nstep;i++){
! 514: if(tabx[i]>xmax)xmax=tabx[i];
! 515: if(tabx[i]<xmin)xmin=tabx[i];
! 516: if(taby[i]>ymax)ymax=taby[i];
! 517: if(taby[i]<ymin)ymin=taby[i];
! 518: }
! 519: can->xmax=xmax;can->xmin=xmin;
! 520: can->ymax=ymax;can->ymin=ymin;
! 521: dx=xmax-xmin;
! 522: dy=ymax-ymin;
! 523: can->pa=(struct pa *)MALLOC(sizeof(struct pa));
! 524: can->pa[0].length=nstep;
! 525: can->pa[0].pos=pa=(POINT *)MALLOC(w*sizeof(POINT));
! 526: for(i=0;i<nstep;i++){
! 527: XC(pa[i])=(w-1)*(tabx[i]-xmin)/dx;
! 528: YC(pa[i])=(h-1)*(ymax-taby[i])/dy;
! 529: }
! 530: }
! 531:
! 532: void polarcalcNG(struct canvas *can){
! 533: //polarplotNG
! 534: double xmax,xmin,ymax,ymin,dx,dy,pmin,pstep,tr,p, *tabx,*taby;
! 535: double usubstrp();
! 536: int i,ix,iy,nstep,w,h;
! 537: POINT *pa;
! 538: Real r;
! 539: Obj fr,t,s;
! 540:
! 541: todouble((Obj)can->formula,&fr);
! 542: w=can->width; h=can->height; nstep=can->nzstep;
! 543: pmin=can->zmin; pstep=(can->zmax-can->zmin)/nstep;
! 544: tabx=(double *)ALLOCA(nstep*sizeof(double));
! 545: taby=(double *)ALLOCA(nstep*sizeof(double));
! 546: MKReal(1,r); // dummy real number
! 547:
! 548: for(i=0,p=pmin;i<nstep;i++,p+= pstep){
! 549: // full substitution
! 550: BDY(r)=p;
! 551: substr(CO,0,fr,can->vx,p?(Obj)r:0,&s);
! 552: devalr(CO,(Obj)s,&t);
! 553: if(t&&(OID(t)!=O_N||NID((Num)t)!=N_R))
! 554: error("polarcalc : invalid evaluation");
! 555: tr=ToReal((Num)t);
! 556: tabx[i]=tr*cos(p);
! 557: taby[i]=tr*sin(p);
! 558: if(i==0){
! 559: xmax=xmin=tabx[0];
! 560: ymax=ymin=taby[0];
! 561: } else {
! 562: if(tabx[i]>xmax)xmax=tabx[i];
! 563: if(tabx[i]<xmin)xmin=tabx[i];
! 564: if(taby[i]>ymax)ymax=taby[i];
! 565: if(taby[i]<ymin)ymin=taby[i];
! 566: }
! 567: }
! 568: can->xmax=xmax;can->xmin=xmin;
! 569: can->ymax=ymax;can->ymin=ymin;
! 570: dx=xmax-xmin;
! 571: dy=ymax-ymin;
! 572: can->pa=(struct pa *)MALLOC(sizeof(struct pa));
! 573: can->pa[0].length=nstep;
! 574: can->pa[0].pos=pa=(POINT *)MALLOC(w*sizeof(POINT));
! 575: for(i=0;i<nstep;i++){
! 576: XC(pa[i])=(w-1)*(tabx[i]-xmin)/dx;
! 577: YC(pa[i])=(h-1)*(ymax-taby[i])/dy;
! 578: }
! 579: }
! 580:
! 581: /*
! 582: void ineqncalc(double **tab,struct canvas *can,int nox){
! 583: double x,y,xmin,ymin,xstep,ystep;
! 584: int ix,iy,w,h;
! 585: Real r,rx,ry;
! 586: Obj fr,g,t,s;
! 587: V vx,vy;
! 588:
! 589: if(!nox) initmarker(can,"Evaluating...");
! 590: todouble((Obj)can->formula,&fr);
! 591: vx=can->vx;vy=can->vy;
! 592: w=can->width;h=can->height;
! 593: xmin=can->xmin;xstep=(can->xmax-can->xmin)/w;
! 594: ymin=can->ymin;ystep=(can->ymin-can->ymin)/h;
! 595: MKReal(1.0,rx); MKReal(1.0,ry); // dummy real
! 596:
! 597: for(ix=0,x=xmin;ix<=w;ix++,x+=xstep){
! 598: BDY(rx)=x; substr(CO,0,fr,vx,x?(Obj)rx:0,&t);
! 599: devalr(CO,t,&g);
! 600: if(!nox) marker(can,DIR_X,ix);
! 601: for(iy=0,y=ymin;iy<=h;iy++,y+=ystep){
! 602: BDY(ry)=y;
! 603: substr(CO,0,g,vy,y?(Obj)ry:0,&t);
! 604: devalr(CO,t,&s);
! 605: tab[ix][iy]=ToReal(s);
! 606: }
! 607: }
! 608: }
! 609: */
! 610:
! 611: #if defined(INTERVAL)
! 612: void itvcalc(double **mask, struct canvas *can, int nox){
! 613: //ITVIFPLOT
! 614: double x,y,xstep,ystep,dx,dy,wx,wy;
! 615: int idv,ix,iy,idx,idy;
! 616: Itv ity,itx,ddx,ddy;
! 617: Real r,rx,ry,rx1,ry1,rdx,rdy,rdx1,rdy1;
! 618: V vx,vy;
! 619: Obj fr,g,t,s;
! 620:
! 621: idv=can->division;
! 622: todouble((Obj)can->formula,&fr);
! 623: vx=can->vx; vy=can->vy;
! 624: xstep=(can->xmax-can->xmin)/can->width;
! 625: ystep=(can->ymax-can->ymin)/can->height;
! 626: if(idv!=0){
! 627: wx=xstep/can->division;
! 628: wy=ystep/can->division;
! 629: }
! 630: MKReal(can->ymin,ry1);
! 631: for(iy=0,y=can->ymin; iy<can->height; iy++,y+=ystep){
! 632: ry=ry1;
! 633: MKReal(y+ystep,ry1);
! 634: istoitv((Num)(ry1),(Num)ry,&ity);
! 635: substr(CO,0,(Obj)fr,vy,(Obj)ity,&t);
! 636: MKReal(can->xmin,rx1);
! 637: for(ix=0,x=can->xmin; ix<can->width; ix++,x+=xstep){
! 638: rx=rx1;
! 639: MKReal(x+xstep,rx1);
! 640: istoitv((Num)(rx1),(Num)rx,&itx);
! 641: substr(CO,0,(Obj)fr,vx,(Obj)itx,&t);
! 642: MKReal(can->ymin,ry1);
! 643: for(iy=0,y=can->ymin; iy<can->height; iy++,y+=ystep){
! 644: ry=ry1;
! 645: MKReal(y+ystep,ry1);
! 646: istoitv((Num)ry,(Num)ry1,&ity);
! 647: substr(CO,0,(Obj)t,vy,(Obj)ity,&g);
! 648: if(compnum(0,0,(Num)g))mask[ix][iy]=-1;
! 649: else {
! 650: mask[ix][iy]=0;
! 651: /*
! 652: if(idv==0) mask[ix][iy]=0;
! 653: else {
! 654: MKReal(y,rdy1);
! 655: for(idy=0,dy=y;idy<idv;dy+=wy,idy++){
! 656: rdy=rdy1;
! 657: MKReal(dy+wy,rdy1);
! 658: istoitv((Num)rdy,(Num)rdy1,&ddy);
! 659: substr(CO,0,(Obj)fr,vy,(Obj)ddy,&t);
! 660: MKReal(x,rdx1);
! 661: for(idx=0,dx=x;idx<idx;dx+=wx,idx++){
! 662: rdx=rdx1;
! 663: MKReal(dx+wx,rdx1);
! 664: istoitv((Num)rdx,(Num)rdx1,&ddx);
! 665: substr(CO,0,(Obj)t,vx,(Obj)ddx,&g);
! 666: if(!compnum(0,0,(Num)g)){
! 667: mask[ix][iy]=0;
! 668: break;
! 669: }
! 670: }
! 671: if(mask[ix][iy]==0)break;
! 672: }
! 673: }
! 674: */
! 675: }
! 676: }
! 677: }
! 678: }
! 679: }
! 680: #endif
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