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#include <u.h>
2
#include <libc.h>
3
#include <stdio.h>
4
#include "iplot.h"
5
#define	INF	1.e+37
6
#define	F	.25
7
 
8
struct xy {
9
	int	xlbf;		/*flag:explicit lower bound*/
10
	int 	xubf;		/*flag:explicit upper bound*/
11
	int	xqf;		/*flag:explicit quantum*/
12
	double (*xf)(double);	/*transform function, e.g. log*/
13
	float	xa,xb;		/*scaling coefficients*/
14
	float	xlb,xub;	/*lower and upper bound*/
15
	float	xquant;		/*quantum*/
16
	float	xoff;		/*screen offset fraction*/
17
	float	xsize;		/*screen fraction*/
18
	int	xbot,xtop;	/*screen coords of border*/	
19
	float	xmult;		/*scaling constant*/
20
} xd,yd;
21
struct val {
22
	float xv;
23
	float yv;
24
	int lblptr;
25
} *xx;
26
 
27
char *labels;
28
int labelsiz;
29
 
30
int tick = 50;
31
int top = 4000;
32
int bot = 200;
33
float absbot;
34
int	n;
35
int	erasf = 1;
36
int	gridf = 2;
37
int	symbf = 0;
38
int	absf = 0;
39
int	transf;
40
int	equf;
41
int	brkf;
42
int	ovlay = 1;
43
float	dx;
44
char	*plotsymb;
45
 
46
#define BSIZ 80
47
char	labbuf[BSIZ];
48
char	titlebuf[BSIZ];
49
 
50
char *modes[] = {
51
	"disconnected",
52
	"solid",
53
	"dotted",
54
	"dotdashed",
55
	"shortdashed",
56
	"longdashed"
57
};
58
int mode = 1;
59
double ident(double x){
60
	return(x);
61
}
62
 
63
struct z {
64
	float lb,ub,mult,quant;
65
};
66
 
67
struct {
68
	char *name;
69
	int next;
70
} palette[] = {
71
	['b']	{ "blue", 'b' },
72
	['c']	{ "cyan", 'c' },
73
	['g']	{ "green", 'g' },
74
	['k']	{ "kblack", 'k' },
75
	['m']	{ "magenta", 'm' },
76
	['r']	{ "red", 'r' },
77
	['w']	{ "white", 'w' },
78
	['y']	{ "yellow", 'y' }
79
};
80
int pencolor = 'k';
81
 
82
void init(struct xy *);
83
void setopt(int, char *[]);
84
void readin(void);
85
void transpose(void);
86
void getlim(struct xy *, struct val *);
87
void equilibrate(struct xy *, struct xy *);
88
void scale(struct xy *);
89
void limread(struct xy *, int *, char ***);
90
int numb(float *, int *, char ***);
91
void colread(int *, char ***);
92
int copystring(int);
93
struct z setloglim(int, int, float, float);
94
struct z setlinlim(int, int, float, float);
95
void axes(void);
96
int setmark(int *, struct xy *);
97
void submark(int *, int *, float, struct xy *);
98
void plot(void);
99
int getfloat(float *);
100
int getstring(void);
101
void title(void);
102
void badarg(void);
103
int conv(float, struct xy *, int *);
104
int symbol(int, int, int);
105
void axlab(char, struct xy *, char *);
106
 
107
void main(int argc,char *argv[]){
108
 
109
	openpl();
110
	range(0,0,4096,4096);
111
	init(&xd);
112
	init(&yd);
113
	xd.xsize = yd.xsize = 1.;
114
	xx = (struct val *)malloc((unsigned)sizeof(struct val));
115
	labels = malloc(1);
116
	labels[labelsiz++] = 0;
117
	setopt(argc,argv);
118
	if(erasf)
119
		erase();
120
	readin();
121
	transpose();
122
	getlim(&xd,(struct val *)&xx->xv);
123
	getlim(&yd,(struct val *)&xx->yv);
124
	if(equf) {
125
		equilibrate(&xd,&yd);
126
		equilibrate(&yd,&xd);
127
	}
128
	scale(&xd);
129
	scale(&yd);
130
	axes();
131
	title();
132
	plot();
133
	closepl();
134
	exits(0);
135
}
136
 
137
void init(struct xy *p){
138
	p->xf = ident;
139
	p->xmult = 1;
140
}
141
 
142
void setopt(int argc, char *argv[]){
143
	char *p1, *p2;
144
	float temp;
145
 
146
	xd.xlb = yd.xlb = INF;
147
	xd.xub = yd.xub = -INF;
148
	while(--argc > 0) {
149
		argv++;
150
again:		switch(argv[0][0]) {
151
		case '-':
152
			argv[0]++;
153
			goto again;
154
		case 'l': /* label for plot */
155
			p1 = titlebuf;
156
			if (argc>=2) {
157
				argv++;
158
				argc--;
159
				p2 = argv[0];
160
				while (*p1++ = *p2++);
161
			}
162
			break;
163
 
164
		case 'd':	/*disconnected,obsolete option*/
165
		case 'm': /*line mode*/
166
			mode = 0;
167
			if(!numb(&temp,&argc,&argv))
168
				break;
169
			if(temp>=sizeof(modes)/sizeof(*modes))
170
				mode = 1;
171
			else if(temp>=-1)
172
				mode = temp;
173
			break;
174
 
175
		case 'o':
176
			if(numb(&temp,&argc,&argv) && temp>=1)
177
				ovlay = temp;
178
			break;
179
		case 'a': /*automatic abscissas*/
180
			absf = 1;
181
			dx = 1;
182
			if(!numb(&dx,&argc,&argv))
183
				break;
184
			if(numb(&absbot,&argc,&argv))
185
				absf = 2;
186
			break;
187
 
188
		case 's': /*save screen, overlay plot*/
189
			erasf = 0;
190
			break;
191
 
192
		case 'g': /*grid style 0 none, 1 ticks, 2 full*/
193
			gridf = 0;
194
			if(!numb(&temp,&argc,&argv))
195
				temp = argv[0][1]-'0';	/*for caompatibility*/
196
			if(temp>=0&&temp<=2)
197
				gridf = temp;
198
			break;
199
 
200
		case 'c': /*character(s) for plotting*/
201
			if(argc >= 2) {
202
				symbf = 1;
203
				plotsymb = argv[1];
204
				argv++;
205
				argc--;
206
			}
207
			break;
208
 
209
		case 't':	/*transpose*/
210
			transf = 1;
211
			break;
212
		case 'e':	/*equal scales*/
213
			equf = 1;
214
			break;
215
		case 'b':	/*breaks*/
216
			brkf = 1;
217
			break;
218
		case 'x':	/*x limits */
219
			limread(&xd,&argc,&argv);
220
			break;
221
		case 'y':
222
			limread(&yd,&argc,&argv);
223
			break;
224
		case 'h': /*set height of plot */
225
			if(!numb(&yd.xsize, &argc,&argv))
226
				badarg();
227
			break;
228
		case 'w': /*set width of plot */
229
			if(!numb(&xd.xsize, &argc, &argv))
230
				badarg();
231
			break;
232
		case 'r': /* set offset to right */
233
			if(!numb(&xd.xoff, &argc, &argv))
234
				badarg();
235
			break;
236
		case 'u': /*set offset up the screen*/
237
			if(!numb(&yd.xoff,&argc,&argv))
238
				badarg();
239
			break;
240
		case 'p': /*pen color*/
241
			colread(&argc, &argv);
242
			break;
243
		default:
244
			badarg();
245
		}
246
	}
247
}
248
 
249
void limread(struct xy *p, int *argcp, char ***argvp){
250
	if(*argcp>1 && (*argvp)[1][0]=='l') {
251
		(*argcp)--;
252
		(*argvp)++;
253
		p->xf = log10;
254
	}
255
	if(!numb(&p->xlb,argcp,argvp))
256
		return;
257
	p->xlbf = 1;
258
	if(!numb(&p->xub,argcp,argvp))
259
		return;
260
	p->xubf = 1;
261
	if(!numb(&p->xquant,argcp,argvp))
262
		return;
263
	p->xqf = 1;
264
}
265
 
266
isdigit(char c){
267
	return '0'<=c && c<='9';
268
}
269
numb(float *np, int *argcp, char ***argvp){
270
	char c;
271
 
272
	if(*argcp <= 1)
273
		return(0);
274
	while((c=(*argvp)[1][0]) == '+')
275
		(*argvp)[1]++;
276
	if(!(isdigit(c) || c=='-'&&(*argvp)[1][1]<'A' || c=='.'))
277
		return(0);
278
	*np = atof((*argvp)[1]);
279
	(*argcp)--;
280
	(*argvp)++;
281
	return(1);
282
}
283
 
284
void colread(int *argcp, char ***argvp){
285
	int c, cnext;
286
	int i, n;
287
 
288
	if(*argcp<=1)
289
		return;
290
	n = strlen((*argvp)[1]);
291
	if(strspn((*argvp)[1], "bcgkmrwy")!=n)
292
		return;
293
	pencolor = cnext = (*argvp)[1][0];
294
	for(i=0; i<n-1; i++){
295
		c = (unsigned char)(*argvp)[1][i];
296
		cnext = (unsigned char)(*argvp)[1][i+1];
297
		palette[c].next = cnext;
298
	}
299
	palette[cnext].next = pencolor;
300
	(*argcp)--;
301
	(*argvp)++;
302
}
303
 
304
void readin(void){
305
	int i, t;
306
	struct val *temp;
307
 
308
	if(absf==1) {
309
		if(xd.xlbf)
310
			absbot = xd.xlb;
311
		else if(xd.xf==log10)
312
			absbot = 1;
313
	}
314
	for(;;) {
315
		temp = (struct val *)realloc((char*)xx,
316
			(unsigned)(n+ovlay)*sizeof(struct val));
317
		if(temp==0)
318
			return;
319
		xx = temp;
320
		if(absf)
321
			xx[n].xv = n*dx/ovlay + absbot;
322
		else
323
			if(!getfloat(&xx[n].xv))
324
				return;
325
		t = 0;	/* silence compiler */
326
		for(i=0;i<ovlay;i++) {
327
			xx[n+i].xv = xx[n].xv;
328
			if(!getfloat(&xx[n+i].yv))
329
				return;
330
			xx[n+i].lblptr = -1;
331
			t = getstring();
332
			if(t>0)
333
				xx[n+i].lblptr = copystring(t);
334
			if(t<0 && i+1<ovlay)
335
				return;
336
		}
337
		n += ovlay;
338
		if(t<0)
339
			return;
340
	}
341
}
342
 
343
void transpose(void){
344
	int i;
345
	float f;
346
	struct xy t;
347
	if(!transf)
348
		return;
349
	t = xd; xd = yd; yd = t;
350
	for(i= 0;i<n;i++) {
351
		f = xx[i].xv; xx[i].xv = xx[i].yv; xx[i].yv = f;
352
	}
353
}
354
 
355
int copystring(int k){
356
	char *temp;
357
	int i;
358
	int q;
359
 
360
	temp = realloc(labels,(unsigned)(labelsiz+1+k));
361
	if(temp==0)
362
		return(0);
363
	labels = temp;
364
	q = labelsiz;
365
	for(i=0;i<=k;i++)
366
		labels[labelsiz++] = labbuf[i];
367
	return(q);
368
}
369
 
370
float modceil(float f, float t){
371
 
372
	t = fabs(t);
373
	return(ceil(f/t)*t);
374
}
375
 
376
float
377
modfloor(float f, float t){
378
	t = fabs(t);
379
	return(floor(f/t)*t);
380
}
381
 
382
void getlim(struct xy *p, struct val *v){
383
	int i;
384
 
385
	i = 0;
386
	do {
387
		if(!p->xlbf && p->xlb>v[i].xv)
388
			p->xlb = v[i].xv;
389
		if(!p->xubf && p->xub<v[i].xv)
390
			p->xub = v[i].xv;
391
		i++;
392
	} while(i < n);
393
}
394
 
395
void setlim(struct xy *p){
396
	float t,delta,sign;
397
	struct z z;
398
	int mark[50];
399
	float lb,ub;
400
	int lbf,ubf;
401
 
402
	lb = p->xlb;
403
	ub = p->xub;
404
	delta = ub-lb;
405
	if(p->xqf) {
406
		if(delta*p->xquant <=0 )
407
			badarg();
408
		return;
409
	}
410
	sign = 1;
411
	lbf = p->xlbf;
412
	ubf = p->xubf;
413
	if(delta < 0) {
414
		sign = -1;
415
		t = lb;
416
		lb = ub;
417
		ub = t;
418
		t = lbf;
419
		lbf = ubf;
420
		ubf = t;
421
	}
422
	else if(delta == 0) {
423
		if(ub > 0) {
424
			ub = 2*ub;
425
			lb = 0;
426
		} 
427
		else
428
			if(lb < 0) {
429
				lb = 2*lb;
430
				ub = 0;
431
			} 
432
			else {
433
				ub = 1;
434
				lb = -1;
435
			}
436
	}
437
	if(p->xf==log10 && lb>0 && ub>lb) {
438
		z = setloglim(lbf,ubf,lb,ub);
439
		p->xlb = z.lb;
440
		p->xub = z.ub;
441
		p->xmult *= z.mult;
442
		p->xquant = z.quant;
443
		if(setmark(mark,p)<2) {
444
			p->xqf = lbf = ubf = 1;
445
			lb = z.lb; ub = z.ub;
446
		} else
447
			return;
448
	}
449
	z = setlinlim(lbf,ubf,lb,ub);
450
	if(sign > 0) {
451
		p->xlb = z.lb;
452
		p->xub = z.ub;
453
	} else {
454
		p->xlb = z.ub;
455
		p->xub = z.lb;
456
	}
457
	p->xmult *= z.mult;
458
	p->xquant = sign*z.quant;
459
}
460
 
461
struct z
462
setloglim(int lbf, int ubf, float lb, float ub){
463
	float r,s,t;
464
	struct z z;
465
 
466
	for(s=1; lb*s<1; s*=10) ;
467
	lb *= s;
468
	ub *= s;
469
	for(r=1; 10*r<=lb; r*=10) ;
470
	for(t=1; t<ub; t*=10) ;
471
	z.lb = !lbf ? r : lb;
472
	z.ub = !ubf ? t : ub;
473
	if(ub/lb<100) {
474
		if(!lbf) {
475
			if(lb >= 5*z.lb)
476
				z.lb *= 5;
477
			else if(lb >= 2*z.lb)
478
				z.lb *= 2;
479
		}
480
		if(!ubf) {
481
			if(ub*5 <= z.ub)
482
				z.ub /= 5;
483
			else if(ub*2 <= z.ub)
484
				z.ub /= 2;
485
		}
486
	}
487
	z.mult = s;
488
	z.quant = r;
489
	return(z);
490
}
491
 
492
struct z
493
setlinlim(int lbf, int ubf, float xlb, float xub){
494
	struct z z;
495
	float r,s,delta;
496
	float ub,lb;
497
 
498
loop:
499
	ub = xub;
500
	lb = xlb;
501
	delta = ub - lb;
502
	/*scale up by s, a power of 10, so range (delta) exceeds 1*/
503
	/*find power of 10 quantum, r, such that delta/10<=r<delta*/
504
	r = s = 1;
505
	while(delta*s < 10)
506
		s *= 10;
507
	delta *= s;
508
	while(10*r < delta)
509
		r *= 10;
510
	lb *= s;
511
	ub *= s;
512
	/*set r=(1,2,5)*10**n so that 3-5 quanta cover range*/
513
	if(r>=delta/2)
514
		r /= 2;
515
	else if(r<delta/5)
516
		r *= 2;
517
	z.ub = ubf? ub: modceil(ub,r);
518
	z.lb = lbf? lb: modfloor(lb,r);
519
	if(!lbf && z.lb<=r && z.lb>0) {
520
		xlb = 0;
521
		goto loop;
522
	}
523
	else if(!ubf && z.ub>=-r && z.ub<0) {
524
		xub = 0;
525
		goto loop;
526
	}
527
	z.quant = r;
528
	z.mult = s;
529
	return(z);
530
}
531
 
532
void scale(struct xy *p){
533
	float edge;
534
 
535
	setlim(p);
536
	edge = top-bot;
537
	p->xa = p->xsize*edge/((*p->xf)(p->xub) - (*p->xf)(p->xlb));
538
	p->xbot = bot + edge*p->xoff;
539
	p->xtop = p->xbot + (top-bot)*p->xsize;
540
	p->xb = p->xbot - (*p->xf)(p->xlb)*p->xa + .5;
541
}
542
 
543
void equilibrate(struct xy *p, struct xy *q){
544
	if(p->xlbf||	/* needn't test xubf; it implies xlbf*/
545
	   q->xubf&&q->xlb>q->xub)
546
		return;
547
	if(p->xlb>q->xlb) {
548
		p->xlb = q->xlb;
549
		p->xlbf = q->xlbf;
550
	}
551
	if(p->xub<q->xub) {
552
		p->xub = q->xub;
553
		p->xubf = q->xubf;
554
	}
555
}
556
 
557
void axes(void){
558
	int i;
559
	int mark[50];
560
	int xn, yn;
561
	if(gridf==0)
562
		return;
563
 
564
	line(xd.xbot,yd.xbot,xd.xtop,yd.xbot);
565
	vec(xd.xtop,yd.xtop);
566
	vec(xd.xbot,yd.xtop);
567
	vec(xd.xbot,yd.xbot);
568
 
569
	xn = setmark(mark,&xd);
570
	for(i=0; i<xn; i++) {
571
		if(gridf==2)
572
			line(mark[i],yd.xbot,mark[i],yd.xtop);
573
		if(gridf==1) {
574
			line(mark[i],yd.xbot,mark[i],yd.xbot+tick);
575
			line(mark[i],yd.xtop-tick,mark[i],yd.xtop);
576
		}
577
	}
578
	yn = setmark(mark,&yd);
579
	for(i=0; i<yn; i++) {
580
		if(gridf==2)
581
			line(xd.xbot,mark[i],xd.xtop,mark[i]);
582
		if(gridf==1) {
583
			line(xd.xbot,mark[i],xd.xbot+tick,mark[i]);
584
			line(xd.xtop-tick,mark[i],xd.xtop,mark[i]);
585
		}
586
	}
587
}
588
 
589
int
590
setmark(int *xmark, struct xy *p){
591
	int xn = 0;
592
	float x,xl,xu;
593
	float q;
594
	if(p->xf==log10&&!p->xqf) {
595
		for(x=p->xquant; x<p->xub; x*=10) {
596
			submark(xmark,&xn,x,p);
597
			if(p->xub/p->xlb<=100) {
598
				submark(xmark,&xn,2*x,p);
599
				submark(xmark,&xn,5*x,p);
600
			}
601
		}
602
	} else {
603
		xn = 0;
604
		q = p->xquant;
605
		if(q>0) {
606
			xl = modceil(p->xlb+q/6,q);
607
			xu = modfloor(p->xub-q/6,q)+q/2;
608
		} else {
609
			xl = modceil(p->xub-q/6,q);
610
			xu = modfloor(p->xlb+q/6,q)-q/2;
611
		}
612
		for(x=xl; x<=xu; x+=fabs(p->xquant))
613
			xmark[xn++] = (*p->xf)(x)*p->xa + p->xb;
614
	}
615
	return(xn);
616
}
617
void submark(int *xmark, int *pxn, float x, struct xy *p){
618
	if(1.001*p->xlb < x && .999*p->xub > x)
619
		xmark[(*pxn)++] = log10(x)*p->xa + p->xb;
620
}
621
 
622
void plot(void){
623
	int ix,iy;
624
	int i,j;
625
	int conn;
626
 
627
	for(j=0;j<ovlay;j++) {
628
		switch(mode) {
629
		case -1:
630
			pen(modes[j%(sizeof modes/sizeof *modes-1)+1]);
631
			break;
632
		case 0:
633
			break;
634
		default:
635
			pen(modes[mode]);
636
		}
637
		color(palette[pencolor].name);
638
		conn = 0;
639
		for(i=j; i<n; i+=ovlay) {
640
			if(!conv(xx[i].xv,&xd,&ix) ||
641
			   !conv(xx[i].yv,&yd,&iy)) {
642
				conn = 0;
643
				continue;
644
			}
645
			if(mode!=0) {
646
				if(conn != 0)
647
					vec(ix,iy);
648
				else
649
					move(ix,iy);
650
				conn = 1;
651
			}
652
			conn &= symbol(ix,iy,xx[i].lblptr);
653
		}
654
		pencolor = palette[pencolor].next;
655
	}
656
	pen(modes[1]);
657
}
658
 
659
int
660
conv(float xv, struct xy *p, int *ip){
661
	long ix;
662
	ix = p->xa*(*p->xf)(xv*p->xmult) + p->xb;
663
	if(ix<p->xbot || ix>p->xtop)
664
		return(0);
665
	*ip = ix;
666
	return(1);
667
}
668
 
669
int
670
getfloat(float *p){
671
	int i;
672
 
673
	i = scanf("%f",p);
674
	return(i==1);
675
}
676
 
677
int
678
getstring(void){
679
	int i;
680
	char junk[20];
681
	i = scanf("%1s",labbuf);
682
	if(i==-1)
683
		return(-1);
684
	switch(*labbuf) {
685
	default:
686
		if(!isdigit(*labbuf)) {
687
			ungetc(*labbuf,stdin);
688
			i = scanf("%s",labbuf);
689
			break;
690
		}
691
	case '.':
692
	case '+':
693
	case '-':
694
		ungetc(*labbuf,stdin);
695
		return(0);
696
	case '"':
697
		i = scanf("%[^\"\n]",labbuf);
698
		scanf("%[\"]",junk);
699
		break;
700
	}
701
	if(i==-1)
702
		return(-1);
703
	return(strlen(labbuf));
704
}
705
 
706
int
707
symbol(int ix, int iy, int k){
708
 
709
	if(symbf==0&&k<0) {
710
		if(mode==0)
711
			point(ix,iy);
712
		return(1);
713
	} 
714
	else {
715
		move(ix,iy);
716
		text(k>=0?labels+k:plotsymb);
717
		move(ix,iy);
718
		return(!brkf|k<0);
719
	}
720
}
721
 
722
void title(void){
723
	char buf[BSIZ+100];
724
	buf[0] = ' ';
725
	buf[1] = ' ';
726
	buf[2] = ' ';
727
	strcpy(buf+3,titlebuf);
728
	if(erasf&&gridf) {
729
		axlab('x',&xd,buf);
730
		strcat(buf,",");
731
		axlab('y',&yd,buf);
732
	}
733
	move(xd.xbot,yd.xbot-60);
734
	text(buf);
735
}
736
 
737
void axlab(char c, struct xy *p, char *b){
738
	char *dir;
739
	dir = p->xlb<p->xub? "<=": ">=";
740
	sprintf(b+strlen(b), " %g %s %c%s %s %g", p->xlb/p->xmult,
741
		dir, c, p->xf==log10?" (log)":"", dir, p->xub/p->xmult);
742
}
743
 
744
void badarg(void){
745
	fprintf(stderr,"graph: error in arguments\n");
746
	closepl();
747
	exits("bad arg");
748
}