Annotation of OpenXM_contrib2/asir2000/plot/calc.c, Revision 1.14
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: *
1.14 ! noro 48: * $OpenXM: OpenXM_contrib2/asir2000/plot/calc.c,v 1.13 2017/09/04 01:57:53 noro Exp $
1.2 noro 49: */
1.1 noro 50: #include "ca.h"
1.5 noro 51: #include "parse.h"
1.1 noro 52: #include "ifplot.h"
53: #include <math.h>
1.7 ohara 54: #if defined(PARI)
1.1 noro 55: #include "genpari.h"
56: #endif
57:
1.6 noro 58: #ifndef MAXSHORT
59: #define MAXSHORT ((short)0x7fff)
60: #endif
61:
1.9 saito 62: void calc(double **tab,struct canvas *can,int nox){
1.14 ! noro 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;
1.1 noro 69:
1.14 ! noro 70: if(!nox)initmarker(can,"Evaluating...");
1.12 noro 71: todouble((Obj)can->formula,&fr);
1.14 ! noro 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: }
1.9 saito 93: }
94:
95: void calcq(double **tab,struct canvas *can,int nox){
1.14 ! noro 96: //IFPLOTQ,INEQNQ,INEQNANDQ,INEQNORQ,INEQNXORQ
! 97: //plotoverD
! 98: Q dx,dy,xstep,ystep,q1,w,h,c;
! 99: P g,g1,f1,f2,x,y;
! 100: int ix,iy;
! 101: Obj fr,gm,t,s;
! 102: Real r,rx,ry;
1.9 saito 103:
1.12 noro 104: todouble((Obj)can->formula,&fr);
1.14 ! noro 105: MKReal(1.0,rx); MKReal(1.0,ry); // dummy real
! 106: BDY(rx)=can->xmin;
! 107: substr(CO,0,fr,can->vx,can->xmin?(Obj)rx:0,&t); devalr(CO,t,&gm);
! 108: BDY(ry)=can->ymin;
! 109: substr(CO,0,gm,can->vy,can->ymin?(Obj)ry:0,&t); devalr(CO,t,&s);
! 110: can->vmax=can->vmin=ToReal(s);
! 111:
! 112: subq(can->qxmax,can->qxmin,&dx); STOQ(can->width,w); divq(dx,w,&xstep);
! 113: subq(can->qymax,can->qymin,&dy); STOQ(can->height,h); divq(dy,h,&ystep);
! 114: MKV(can->vx,x); mulp(CO,(P)xstep,x,(P *)&t);
! 115: addp(CO,(P)can->qxmin,(P)t,(P *)&s); substp(CO,can->formula,can->vx,(P)s,&f1);
! 116: MKV(can->vy,y); mulp(CO,(P)ystep,y,(P *)&t);
! 117: addp(CO,(P)can->qymin,(P)t,(P *)&s); substp(CO,f1,can->vy,(P)s,&f2);
! 118: ptozp(f2,1,&c,&g);
! 119: if(!nox) initmarker(can,"Evaluating...");
! 120: for(iy=0;iy<can->height;iy++){
! 121: marker(can,DIR_Y,iy);
! 122: STOQ(iy,q1); substp(CO,g,can->vy,(P)q1,(P *)&t); ptozp((P)t,1,&c,&g1);
! 123: for(ix=0;ix<can->width;ix++){
! 124: STOQ(ix,q1);substp(CO,g1,can->vx,(P)q1,(P *)&t);
! 125: devalr(CO,t,&s);
! 126: tab[ix][iy]=ToReal(s);
! 127: if(can->vmax<tab[ix][iy])can->vmax=tab[ix][iy];
! 128: if(can->vmin>tab[ix][iy])can->vmin=tab[ix][iy];
! 129: }
! 130: }
1.9 saito 131: }
132:
133: void calcb(double **tab,struct canvas *can,int nox){
1.14 ! noro 134: //IFPLOTB,INEQNB,INEQNANDB,INEQNORB,INEQNXORB
! 135: Q dx,dy,xstep,ystep,q1,w,h,c;
! 136: P g,g1,f1,f2,x,y,t,s;
! 137: int ix,iy,*a,*pa;
! 138: VECT ss;
! 139: Obj fr,gm,tm,sm;
! 140: Real r,rx,ry;
1.9 saito 141:
1.12 noro 142: todouble((Obj)can->formula,&fr);
1.14 ! noro 143: MKReal(1.0,rx); MKReal(1.0,ry); // dummy real
! 144: BDY(rx)=can->xmin;
! 145: substr(CO,0,fr,can->vx,can->xmin?(Obj)rx:0,&tm); devalr(CO,tm,&gm);
! 146: BDY(ry)=can->ymin;
! 147: substr(CO,0,gm,can->vy,can->ymin?(Obj)ry:0,&tm); devalr(CO,tm,&sm);
! 148: can->vmax=can->vmin=ToReal(sm);
! 149:
! 150: for(iy=0;iy<can->height;iy++)for(ix=0;ix<can->width;ix++)tab[ix][iy]=1.0;
! 151: subq(can->qxmax,can->qxmin,&dx); STOQ(can->width,w); divq(dx,w,&xstep);
! 152: subq(can->qymax,can->qymin,&dy); STOQ(can->height,h); divq(dy,h,&ystep);
! 153: MKV(can->vx,x); mulp(CO,(P)xstep,x,&t);
! 154: addp(CO,(P)can->qxmin,t,&s); substp(CO,can->formula,can->vx,s,&f1);
! 155: MKV(can->vy,y); mulp(CO,(P)ystep,y,&t);
! 156: addp(CO,(P)can->qymin,t,&s); substp(CO,f1,can->vy,s,&f2);
! 157: ptozp(f2,1,&c,&g);
! 158: a=(int *)ALLOCA((MAX(can->width,can->height)+1)*sizeof(int));
! 159: for(iy=0;iy<can->height;iy++)for(ix=0;ix<can->width;ix++)tab[ix][iy]=1.0;
! 160: subq(can->qxmax,can->qxmin,&dx); STOQ(can->width,w); divq(dx,w,&xstep);
! 161: subq(can->qymax,can->qymin,&dy); STOQ(can->height,h); divq(dy,h,&ystep);
! 162: MKV(can->vx,x); mulp(CO,(P)xstep,x,&t);
! 163: addp(CO,(P)can->qxmin,t,&s); substp(CO,can->formula,can->vx,s,&f1);
! 164: MKV(can->vy,y); mulp(CO,(P)ystep,y,&t);
! 165: addp(CO,(P)can->qymin,t,&s); substp(CO,f1,can->vy,s,&f2);
! 166: ptozp(f2,1,&c,&g);
! 167: a=(int *)ALLOCA((MAX(can->width,can->height)+1)*sizeof(int));
! 168: for(ix=0;ix<can->width;ix++){
! 169: STOQ(ix,q1); substp(CO,g,can->vx,(P)q1,&t); ptozp(t,1,&c,&g1);
! 170: if(!g1)for(iy=0;iy<can->height;iy++)tab[ix][iy]=0.0;
! 171: else if(!NUM(g1)){
! 172: sturmseq(CO,g1,&ss);
! 173: seproot(ss,0,can->width,a);
! 174: for(iy=0,pa=a;iy<can->height;iy++,pa++){
! 175: if(*pa<0||(*(pa+1)>=0&&(*pa>*(pa+1))))tab[ix][iy]=0.0;
! 176: else {
! 177: STOQ(iy,q1);substp(CO,g1,can->vy,(P)q1,&t);
! 178: devalr(CO,(Obj)t,(Obj *)&s);
! 179: tab[ix][iy]=ToReal(s);
! 180: if(can->vmax<tab[ix][iy])can->vmax=tab[ix][iy];
! 181: if(can->vmin>tab[ix][iy])can->vmin=tab[ix][iy];
! 182: }
! 183: }
! 184: }
! 185: }
! 186: for(iy=0;iy<can->height;iy++){
! 187: STOQ(iy,q1); substp(CO,g,can->vy,(P)q1,&t); ptozp(t,1,&c,&g1);
! 188: if(!g1) for(ix=0;ix<can->width;ix++)tab[ix][iy]=0.0;
! 189: else if(!NUM(g1)){
! 190: sturmseq(CO,g1,&ss);
! 191: seproot(ss,0,can->height,a);
! 192: for(ix=0,pa=a;ix<can->width;ix++,pa++){
! 193: if(tab[ix][iy]!=0.0){
! 194: if(*pa<0||(*(pa+1)>=0&&(*pa>*(pa+1))))tab[ix][iy]=0.0;
! 195: else {
! 196: STOQ(ix,q1);substp(CO,g1,can->vx,(P)q1,&t);
! 197: devalr(CO,(Obj)t,(Obj *)&s);
! 198: tab[ix][iy]=ToReal(s);
! 199: if(can->vmax<tab[ix][iy])can->vmax=tab[ix][iy];
! 200: if(can->vmin>tab[ix][iy])can->vmin=tab[ix][iy];
! 201: }
! 202: }
! 203: }
! 204: }
! 205: }
1.1 noro 206: }
207:
1.9 saito 208: double usubstrp(P p,double r){
1.14 ! noro 209: DCP dc;
! 210: int d;
! 211: double t,pwrreal0();
! 212:
! 213: if(!p) t=0.0;
! 214: else if(NUM(p))t=BDY((Real)p);
! 215: else {
! 216: dc=DC(p); t=BDY((Real)COEF(dc));
! 217: for(d=QTOS(DEG(dc)),dc=NEXT(dc);dc;d=QTOS(DEG(dc)),dc=NEXT(dc)){
! 218: t=t*pwrreal0(r,(d-QTOS(DEG(dc))))+BDY((Real)COEF(dc));
! 219: }
! 220: if(d)t*=pwrreal0(r,d);
! 221: }
! 222: return t;
1.1 noro 223: }
224:
1.9 saito 225: void qcalc(char **tab,struct canvas *can){
1.14 ! noro 226: //qifplotmain(Old type)
! 227: Q dx,dy,w,h,xstep,ystep,c,q1;
! 228: P g,g1,f1,f2,x,y,t,s;
! 229: int ix,iy;
! 230: int *a,*pa;
! 231: VECT ss;
! 232:
! 233: subq(can->qxmax,can->qxmin,&dx); STOQ(can->width,w); divq(dx,w,&xstep);
! 234: subq(can->qymax,can->qymin,&dy); STOQ(can->height,h); divq(dy,h,&ystep);
! 235: MKV(can->vx,x); mulp(CO,(P)xstep,x,&t);
! 236: addp(CO,(P)can->qxmin,t,&s); substp(CO,can->formula,can->vx,s,&f1);
! 237: MKV(can->vy,y); mulp(CO,(P)ystep,y,&t);
! 238: addp(CO,(P)can->qymin,t,&s); substp(CO,f1,can->vy,s,&f2);
! 239: ptozp(f2,1,&c,&g);
! 240: a=(int *)ALLOCA((MAX(can->width,can->height)+1)*sizeof(int));
! 241: initmarker(can,"Horizontal scan...");
! 242: for( ix=0; ix < can->width; ix++ ){
! 243: marker(can,DIR_X,ix);
! 244: STOQ(ix,q1); substp(CO,g,can->vx,(P)q1,&t); ptozp(t,1,&c,&g1);
! 245: if( !g1 )
! 246: for(iy=0; iy < can->height; iy++ )
! 247: tab[ix][iy]=1;
! 248: else if( !NUM(g1) ){
! 249: sturmseq(CO,g1,&ss); seproot(ss,0,can->height,a);
! 250: for(iy=0, pa=a; iy < can->height; iy++, pa++ )
! 251: if( *pa < 0 || (*(pa+1) >= 0 && (*pa > *(pa+1))) )
! 252: tab[ix][iy]=1;
! 253: }
! 254: }
! 255: initmarker(can,"Vertical scan...");
! 256: for( iy=0; iy < can->height; iy++ ){
! 257: marker(can,DIR_Y,iy);
! 258: STOQ(iy,q1); substp(CO,g,can->vy,(P)q1,&t); ptozp(t,1,&c,&g1);
! 259: if( !g1 )
! 260: for(ix=0; ix < can->width; ix++ )
! 261: tab[ix][iy]=1;
! 262: else if( !NUM(g1) ){
! 263: sturmseq(CO,g1,&ss); seproot(ss,0,can->width,a);
! 264: for(ix=0, pa=a; ix < can->width; ix++, pa++ )
! 265: if( *pa < 0 || (*(pa+1) >= 0 && (*pa > *(pa+1))) )
! 266: tab[ix][iy]=1;
! 267: }
! 268: }
1.1 noro 269: }
270:
1.9 saito 271: void sturmseq(VL vl,P p,VECT *rp){
1.14 ! noro 272: P g1,g2,q,r,s,*t;
! 273: V v;
! 274: VECT ret;
! 275: int i,j;
! 276: Q a,b,c,d,h,l,m,x;
! 277:
! 278: v=VR(p);t=(P *)ALLOCA((deg(v,p)+1)*sizeof(P));
! 279: g1=t[0]=p;diffp(vl,p,v,(P *)&a);ptozp((P)a,1,&c,&g2);t[1]=g2;
! 280: for(i=1,h=ONE,x=ONE;;){
! 281: if(NUM(g2)) break;
! 282: subq(DEG(DC(g1)),DEG(DC(g2)),&d);
! 283: l=(Q)LC(g2);
! 284: if(SGN(l)<0){
! 285: chsgnq(l,&a);l=a;
! 286: }
! 287: addq(d,ONE,&a);pwrq(l,a,&b);mulp(vl,(P)b,g1,(P *)&a);
! 288: divsrp(vl,(P)a,g2,&q,&r);
! 289: if(!r) break;
! 290: chsgnp(r,&s);r=s;i++;
! 291: if(NUM(r)){
! 292: t[i]=r;break;
! 293: }
! 294: pwrq(h,d,&m);g1=g2;
! 295: mulq(m,x,&a);divsp(vl,r,(P)a,&g2);t[i]=g2;
! 296: x=(Q)LC(g1);
! 297: if(SGN(x)<0){
! 298: chsgnq(x,&a);x=a;
! 299: }
! 300: pwrq(x,d,&a);mulq(a,h,&b);divq(b,m,&h);
! 301: }
! 302: MKVECT(ret,i+1);
! 303: for(j=0;j<=i;j++)
! 304: ret->body[j]=(pointer)t[j];
! 305: *rp=ret;
1.1 noro 306: }
307:
1.9 saito 308: void seproot(VECT s,int min,int max,int *ar){
1.14 ! noro 309: P f,*ss;
! 310: Q q,t;
! 311: int i,j,k;
! 312:
! 313: ss=(P *)s->body;f=ss[0];
! 314: for(i=min;i<=max;i++){
! 315: STOQ(i,q);usubstqp(f,q,&t);
! 316: if(!t)ar[i]=-1;
! 317: else {
! 318: ar[i]=numch(s,q,t);break;
! 319: }
! 320: }
! 321: if(i>max) return;
! 322: for(j=max;j>= min;j--){
! 323: STOQ(j,q); usubstqp(f,q,&t);
! 324: if(!t)ar[j]=-1;
! 325: else {
! 326: if(i!=j)ar[j]=numch(s,q,t);
! 327: break;
! 328: }
! 329: }
! 330: if(j<=i+1) return;
! 331: if(ar[i]==ar[j]){
! 332: for(k=i+1;k<j;k++)ar[k]=ar[i];
! 333: return;
! 334: }
! 335: k=(i+j)/2;
! 336: seproot(s,i,k,ar);
! 337: seproot(s,k,j,ar);
1.1 noro 338: }
339:
1.9 saito 340: int numch(VECT s,Q n,Q a0){
1.14 ! noro 341: int len,i,c;
! 342: Q a;
! 343: P *ss;
! 344:
! 345: len=s->len;ss=(P *)s->body;
! 346: for(i=1,c=0;i<len;i++){
! 347: usubstqp(ss[i],n,&a);
! 348: if(a){
! 349: if((SGN(a)>0 && SGN(a0)<0)||(SGN(a)<0&&SGN(a0)>0))c++;
! 350: a0=a;
! 351: }
! 352: }
! 353: return c;
1.1 noro 354: }
355:
1.9 saito 356: void usubstqp(P p,Q r,Q *v){
1.14 ! noro 357: Q d,d1,a,b,t;
! 358: DCP dc;
1.1 noro 359:
1.14 ! noro 360: if(!p)
! 361: *v=0;
! 362: else if(NUM(p))*v=(Q)p;
! 363: else {
! 364: dc=DC(p);t=(Q)COEF(dc);
! 365: for(d=DEG(dc),dc=NEXT(dc);dc;d=DEG(dc),dc=NEXT(dc)){
! 366: subq(d,DEG(dc),&d1);pwrq(r,d1,&a);
! 367: mulq(t,a,&b);addq(b,(Q)COEF(dc),&t);
! 368: }
! 369: if(d){
! 370: pwrq(r,d,&a);mulq(t,a,&b);t=b;
! 371: }
! 372: *v=t;
! 373: }
1.1 noro 374: }
375:
1.13 noro 376: Num tobf(Num,int);
377:
378: void plotcalcbf(struct canvas *can){
379: Obj fr,s,t;
380: Num xmin,xmax,ymin,ymax,xstep;
381: Num u,v,ha,dx,dy,x;
382: Num *tab;
383: Real r;
384: Q w,h1;
385: int ix;
386: POINT *pa;
387: double rr;
388: Q prec;
389: NODE arg;
390:
391: STOQ(can->prec,prec); arg = mknode(1,prec); Psetprec(arg,&t);
392: evalr(CO,(Obj)can->formula,can->prec,&fr);
393: MKReal(can->xmin,r); xmin = tobf((Num)r,can->prec);
394: MKReal(can->xmax,r); xmax = tobf((Num)r,can->prec);
395: MKReal(can->ymin,r); ymin = tobf((Num)r,can->prec);
396: MKReal(can->ymax,r); ymax = tobf((Num)r,can->prec);
397: STOQ(can->width,w);
398: subbf(xmax,xmin,&dx); divbf(dx,(Num)w,&xstep);
1.14 ! noro 399: tab=(Num *)MALLOC(can->width*sizeof(Num));
! 400: for(ix=0,x=xmin;ix<can->width;ix++){
! 401: substr(CO,0,fr,can->vx,(Obj)x,(Obj *)&s);
! 402: evalr(CO,(Obj)s,can->prec,&t);
! 403: if(t&&(OID(t)!=O_N))
! 404: error("plotcalcbf : invalid evaluation");
! 405: tab[ix]=(Num)t;
1.13 noro 406: addbf(x,xstep,&u); x = u;
1.14 ! noro 407: }
! 408: if(!cmpbf(ymax,ymin)){
! 409: for(ymax=ymin=tab[0],ix=1;ix<can->width;ix++){
! 410: if(cmpbf(tab[ix],ymax)>0)ymax=tab[ix];
! 411: if(cmpbf(tab[ix],ymin)<0)ymin=tab[ix];
! 412: }
! 413: can->ymax=ToReal(ymax);can->ymin=ToReal(ymin);
! 414: }
1.13 noro 415: subbf(ymax,ymin,&dy);
1.14 ! noro 416: can->pa=(struct pa *)MALLOC(sizeof(struct pa));
! 417: can->pa[0].length=can->width;
! 418: can->pa[0].pos=pa=(POINT *)MALLOC(can->width*sizeof(POINT));
1.13 noro 419: STOQ(can->height-1,h1);
1.14 ! noro 420: for(ix=0;ix<can->width;ix++){
! 421: XC(pa[ix])=ix;
1.13 noro 422: subbf(ymax,tab[ix],&u); divbf(u,dy,&v); mulbf(v,(Num)h1,&u);
423: rr = ToReal(u);
1.14 ! noro 424: if(rr>MAXSHORT)YC(pa[ix])=MAXSHORT;
! 425: else if(rr<-MAXSHORT)YC(pa[ix])=-MAXSHORT;
! 426: else YC(pa[ix])=(long)rr;
! 427: }
1.13 noro 428: }
429:
1.9 saito 430: void plotcalc(struct canvas *can){
1.14 ! noro 431: //plot,memory_plot,plotover,plot_resize
! 432: double x,xmin,xstep,ymax,ymin,dy,*tab,usubstrp();
! 433: int ix,w,h;
! 434: Real r,rx;
! 435: Obj fr,t,s;
! 436: POINT *pa;
1.1 noro 437:
1.13 noro 438: if ( can->prec ) {
439: plotcalcbf(can);
440: return;
441: }
1.12 noro 442: todouble((Obj)can->formula,&fr);
1.14 ! noro 443: w=can->width;h=can->height;
! 444: xmin=can->xmin;xstep=(can->xmax-can->xmin)/w;
! 445: tab=(double *)ALLOCA(w*sizeof(double));
! 446: MKReal(1,rx); // dummy real number
! 447: for(ix=0,x=xmin;ix<w;ix++,x+=xstep){
! 448: // full substitution
! 449: BDY(rx)=x;
! 450: substr(CO,0,fr,can->vx,x?(Obj)rx:0,&s);
! 451: devalr(CO,(Obj)s,&t);
! 452: if(t&&(OID(t)!=O_N||NID((Num)t)!=N_R))
! 453: error("plotcalc : invalid evaluation");
! 454: tab[ix]=ToReal((Num)t);
! 455: }
! 456: if(can->ymax==can->ymin){
! 457: for(ymax=ymin=tab[0],ix=1;ix<w;ix++){
! 458: if(tab[ix]>ymax)ymax=tab[ix];
! 459: if(tab[ix]<ymin)ymin=tab[ix];
! 460: }
! 461: can->ymax=ymax;can->ymin=ymin;
! 462: } else {
! 463: ymax=can->ymax;ymin=can->ymin;
! 464: }
! 465: dy=ymax-ymin;
! 466: can->pa=(struct pa *)MALLOC(sizeof(struct pa));
! 467: can->pa[0].length=w;
! 468: can->pa[0].pos=pa=(POINT *)MALLOC(w*sizeof(POINT));
! 469: for(ix=0;ix<w;ix++){
! 470: double t;
! 471: XC(pa[ix])=ix;
! 472: t=(h-1)*(ymax-tab[ix])/dy;
! 473: if(t>MAXSHORT)YC(pa[ix])=MAXSHORT;
! 474: else if(t<-MAXSHORT)YC(pa[ix])=-MAXSHORT;
! 475: else YC(pa[ix])=(long)t;
! 476: }
1.6 noro 477: }
478:
1.10 saito 479: void polarcalc(struct canvas *can){
1.14 ! noro 480: double xmax,xmin,ymax,ymin,dx,dy,pmin,pstep,tr,p,*tabx,*taby;
! 481: double usubstrp();
! 482: int i,nstep,w,h;
! 483: POINT *pa;
! 484: Real r;
! 485: Obj fr,t,s;
1.11 saito 486:
1.12 noro 487: todouble((Obj)can->formula,&fr);
1.14 ! noro 488: w=can->width; h=can->height; nstep=can->nzstep;
! 489: pmin=can->zmin; pstep=(can->zmax-can->zmin)/nstep;
! 490: tabx=(double *)ALLOCA(nstep*sizeof(double));
! 491: taby=(double *)ALLOCA(nstep*sizeof(double));
! 492: MKReal(1,r); // dummy real number
! 493:
! 494: for(i=0,p=pmin;i<nstep;i++,p+= pstep){
! 495: // full substitution
! 496: BDY(r)=p;
! 497: substr(CO,0,fr,can->vx,p?(Obj)r:0,&s);
! 498: devalr(CO,(Obj)s,&t);
! 499: if(t&&(OID(t)!=O_N||NID((Num)t)!=N_R))
! 500: error("polarcalc : invalid evaluation");
! 501: tr=ToReal((Num)t);
! 502: tabx[i]=tr*cos(p);
! 503: taby[i]=tr*sin(p);
! 504: }
! 505: xmax=xmin=tabx[0];
! 506: ymax=ymin=taby[0];
! 507: for(i=1;i<nstep;i++){
! 508: if(tabx[i]>xmax)xmax=tabx[i];
! 509: if(tabx[i]<xmin)xmin=tabx[i];
! 510: if(taby[i]>ymax)ymax=taby[i];
! 511: if(taby[i]<ymin)ymin=taby[i];
! 512: }
! 513: can->xmax=xmax;can->xmin=xmin;
! 514: can->ymax=ymax;can->ymin=ymin;
! 515: dx=xmax-xmin;
! 516: dy=ymax-ymin;
! 517: can->pa=(struct pa *)MALLOC(sizeof(struct pa));
! 518: can->pa[0].length=nstep;
! 519: can->pa[0].pos=pa=(POINT *)MALLOC(w*sizeof(POINT));
! 520: for(i=0;i<nstep;i++){
! 521: XC(pa[i])=(w-1)*(tabx[i]-xmin)/dx;
! 522: YC(pa[i])=(h-1)*(ymax-taby[i])/dy;
! 523: }
1.11 saito 524: }
525:
526: void polarcalcNG(struct canvas *can){
1.14 ! noro 527: //polarplotNG
! 528: double xmax,xmin,ymax,ymin,dx,dy,pmin,pstep,tr,p, *tabx,*taby;
! 529: double usubstrp();
! 530: int i,ix,iy,nstep,w,h;
! 531: POINT *pa;
! 532: Real r;
! 533: Obj fr,t,s;
1.6 noro 534:
1.12 noro 535: todouble((Obj)can->formula,&fr);
1.14 ! noro 536: w=can->width; h=can->height; nstep=can->nzstep;
! 537: pmin=can->zmin; pstep=(can->zmax-can->zmin)/nstep;
! 538: tabx=(double *)ALLOCA(nstep*sizeof(double));
! 539: taby=(double *)ALLOCA(nstep*sizeof(double));
! 540: MKReal(1,r); // dummy real number
! 541:
! 542: for(i=0,p=pmin;i<nstep;i++,p+= pstep){
! 543: // full substitution
! 544: BDY(r)=p;
! 545: substr(CO,0,fr,can->vx,p?(Obj)r:0,&s);
! 546: devalr(CO,(Obj)s,&t);
! 547: if(t&&(OID(t)!=O_N||NID((Num)t)!=N_R))
! 548: error("polarcalc : invalid evaluation");
! 549: tr=ToReal((Num)t);
! 550: tabx[i]=tr*cos(p);
! 551: taby[i]=tr*sin(p);
! 552: if(i==0){
! 553: xmax=xmin=tabx[0];
! 554: ymax=ymin=taby[0];
! 555: } else {
! 556: if(tabx[i]>xmax)xmax=tabx[i];
! 557: if(tabx[i]<xmin)xmin=tabx[i];
! 558: if(taby[i]>ymax)ymax=taby[i];
! 559: if(taby[i]<ymin)ymin=taby[i];
! 560: }
! 561: }
! 562: can->xmax=xmax;can->xmin=xmin;
! 563: can->ymax=ymax;can->ymin=ymin;
! 564: dx=xmax-xmin;
! 565: dy=ymax-ymin;
! 566: can->pa=(struct pa *)MALLOC(sizeof(struct pa));
! 567: can->pa[0].length=nstep;
! 568: can->pa[0].pos=pa=(POINT *)MALLOC(w*sizeof(POINT));
! 569: for(i=0;i<nstep;i++){
! 570: XC(pa[i])=(w-1)*(tabx[i]-xmin)/dx;
! 571: YC(pa[i])=(h-1)*(ymax-taby[i])/dy;
! 572: }
1.1 noro 573: }
1.8 saito 574:
1.9 saito 575: /*
576: void ineqncalc(double **tab,struct canvas *can,int nox){
1.14 ! noro 577: double x,y,xmin,ymin,xstep,ystep;
! 578: int ix,iy,w,h;
! 579: Real r,rx,ry;
! 580: Obj fr,g,t,s;
! 581: V vx,vy;
1.8 saito 582:
1.14 ! noro 583: if(!nox) initmarker(can,"Evaluating...");
1.12 noro 584: todouble((Obj)can->formula,&fr);
1.14 ! noro 585: vx=can->vx;vy=can->vy;
! 586: w=can->width;h=can->height;
! 587: xmin=can->xmin;xstep=(can->xmax-can->xmin)/w;
! 588: ymin=can->ymin;ystep=(can->ymin-can->ymin)/h;
! 589: MKReal(1.0,rx); MKReal(1.0,ry); // dummy real
! 590:
! 591: for(ix=0,x=xmin;ix<=w;ix++,x+=xstep){
! 592: BDY(rx)=x; substr(CO,0,fr,vx,x?(Obj)rx:0,&t);
! 593: devalr(CO,t,&g);
! 594: if(!nox) marker(can,DIR_X,ix);
! 595: for(iy=0,y=ymin;iy<=h;iy++,y+=ystep){
! 596: BDY(ry)=y;
! 597: substr(CO,0,g,vy,y?(Obj)ry:0,&t);
! 598: devalr(CO,t,&s);
! 599: tab[ix][iy]=ToReal(s);
! 600: }
! 601: }
1.8 saito 602: }
1.9 saito 603: */
1.8 saito 604:
1.9 saito 605: #if defined(INTERVAL)
606: void itvcalc(double **mask, struct canvas *can, int nox){
1.14 ! noro 607: //ITVIFPLOT
! 608: double x,y,xstep,ystep,dx,dy,wx,wy;
! 609: int idv,ix,iy,idx,idy;
! 610: Itv ity,itx,ddx,ddy;
! 611: Real r,rx,ry,rx1,ry1,rdx,rdy,rdx1,rdy1;
! 612: V vx,vy;
! 613: Obj fr,g,t,s;
1.8 saito 614:
1.14 ! noro 615: idv=can->division;
1.12 noro 616: todouble((Obj)can->formula,&fr);
1.14 ! noro 617: vx=can->vx; vy=can->vy;
! 618: xstep=(can->xmax-can->xmin)/can->width;
! 619: ystep=(can->ymax-can->ymin)/can->height;
! 620: if(idv!=0){
! 621: wx=xstep/can->division;
! 622: wy=ystep/can->division;
! 623: }
! 624: MKReal(can->ymin,ry1);
! 625: for(iy=0,y=can->ymin; iy<can->height; iy++,y+=ystep){
! 626: ry=ry1;
! 627: MKReal(y+ystep,ry1);
! 628: istoitv((Num)(ry1),(Num)ry,&ity);
! 629: substr(CO,0,(Obj)fr,vy,(Obj)ity,&t);
! 630: MKReal(can->xmin,rx1);
! 631: for(ix=0,x=can->xmin; ix<can->width; ix++,x+=xstep){
! 632: rx=rx1;
! 633: MKReal(x+xstep,rx1);
! 634: istoitv((Num)(rx1),(Num)rx,&itx);
! 635: substr(CO,0,(Obj)fr,vx,(Obj)itx,&t);
! 636: MKReal(can->ymin,ry1);
! 637: for(iy=0,y=can->ymin; iy<can->height; iy++,y+=ystep){
! 638: ry=ry1;
! 639: MKReal(y+ystep,ry1);
! 640: istoitv((Num)ry,(Num)ry1,&ity);
! 641: substr(CO,0,(Obj)t,vy,(Obj)ity,&g);
! 642: if(compnum(0,0,(Num)g))mask[ix][iy]=-1;
! 643: else {
! 644: mask[ix][iy]=0;
1.9 saito 645: /*
1.14 ! noro 646: if(idv==0) mask[ix][iy]=0;
! 647: else {
! 648: MKReal(y,rdy1);
! 649: for(idy=0,dy=y;idy<idv;dy+=wy,idy++){
! 650: rdy=rdy1;
! 651: MKReal(dy+wy,rdy1);
! 652: istoitv((Num)rdy,(Num)rdy1,&ddy);
! 653: substr(CO,0,(Obj)fr,vy,(Obj)ddy,&t);
! 654: MKReal(x,rdx1);
! 655: for(idx=0,dx=x;idx<idx;dx+=wx,idx++){
! 656: rdx=rdx1;
! 657: MKReal(dx+wx,rdx1);
! 658: istoitv((Num)rdx,(Num)rdx1,&ddx);
! 659: substr(CO,0,(Obj)t,vx,(Obj)ddx,&g);
! 660: if(!compnum(0,0,(Num)g)){
! 661: mask[ix][iy]=0;
! 662: break;
! 663: }
! 664: }
! 665: if(mask[ix][iy]==0)break;
! 666: }
! 667: }
1.9 saito 668: */
1.14 ! noro 669: }
! 670: }
! 671: }
! 672: }
1.8 saito 673: }
674: #endif
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