allow the preprocessor to omit #line directives
[imager.git] / draw.c
CommitLineData
92bda632 1#include "imager.h"
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2#include "draw.h"
3#include "log.h"
92bda632 4#include "imageri.h"
9b1ec2b8 5#include "imrender.h"
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6#include <limits.h>
7
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8int
9i_ppix_norm(i_img *im, i_img_dim x, i_img_dim y, i_color const *col) {
10 i_color src;
11 i_color work;
12 int dest_alpha;
13 int remains;
14
15 if (!col->channel[3])
16 return 0;
17
18 switch (im->channels) {
19 case 1:
20 work = *col;
21 i_adapt_colors(2, 4, &work, 1);
22 i_gpix(im, x, y, &src);
23 remains = 255 - work.channel[1];
24 src.channel[0] = (src.channel[0] * remains
25 + work.channel[0] * work.channel[1]) / 255;
26 return i_ppix(im, x, y, &src);
27
28 case 2:
29 work = *col;
30 i_adapt_colors(2, 4, &work, 1);
31 i_gpix(im, x, y, &src);
32 dest_alpha = work.channel[1] + remains * src.channel[1] / 255;
33 if (work.channel[1] == 255) {
34 return i_ppix(im, x, y, &work);
35 }
36 else {
37 src.channel[0] = (work.channel[1] * work.channel[0]
38 + remains * src.channel[0] * src.channel[1] / 255) / dest_alpha;
39 src.channel[1] = dest_alpha;
40 return i_ppix(im, x, y, &src);
41 }
42
43 case 3:
44 work = *col;
45 i_gpix(im, x, y, &src);
46 remains = 255 - work.channel[3];
47 src.channel[0] = (src.channel[0] * remains
48 + work.channel[0] * work.channel[3]) / 255;
49 src.channel[1] = (src.channel[1] * remains
50 + work.channel[1] * work.channel[3]) / 255;
51 src.channel[2] = (src.channel[2] * remains
52 + work.channel[2] * work.channel[3]) / 255;
53 return i_ppix(im, x, y, &src);
54
55 case 4:
56 work = *col;
57 i_gpix(im, x, y, &src);
58 dest_alpha = work.channel[3] + remains * src.channel[3] / 255;
59 if (work.channel[3] == 255) {
60 return i_ppix(im, x, y, &work);
61 }
62 else {
63 src.channel[0] = (work.channel[3] * work.channel[0]
64 + remains * src.channel[0] * src.channel[3] / 255) / dest_alpha;
65 src.channel[1] = (work.channel[3] * work.channel[1]
66 + remains * src.channel[1] * src.channel[3] / 255) / dest_alpha;
67 src.channel[2] = (work.channel[3] * work.channel[2]
68 + remains * src.channel[2] * src.channel[3] / 255) / dest_alpha;
69 src.channel[3] = dest_alpha;
70 return i_ppix(im, x, y, &src);
71 }
72 }
73 return 0;
74}
75
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76static void
77cfill_from_btm(i_img *im, i_fill_t *fill, struct i_bitmap *btm,
78 int bxmin, int bxmax, int bymin, int bymax);
79
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80void
81i_mmarray_cr(i_mmarray *ar,int l) {
82 int i;
f0960b14 83 int alloc_size;
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84
85 ar->lines=l;
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86 alloc_size = sizeof(minmax) * l;
87 /* check for overflow */
88 if (alloc_size / l != sizeof(minmax)) {
89 fprintf(stderr, "overflow calculating memory allocation");
90 exit(3);
91 }
92 ar->data=mymalloc(alloc_size); /* checked 5jul05 tonyc */
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93 for(i=0;i<l;i++) { ar->data[i].max=-1; ar->data[i].min=MAXINT; }
94}
95
96void
97i_mmarray_dst(i_mmarray *ar) {
98 ar->lines=0;
99 if (ar->data != NULL) { myfree(ar->data); ar->data=NULL; }
100}
101
102void
103i_mmarray_add(i_mmarray *ar,int x,int y) {
104 if (y>-1 && y<ar->lines)
105 {
106 if (x<ar->data[y].min) ar->data[y].min=x;
107 if (x>ar->data[y].max) ar->data[y].max=x;
108 }
109}
110
111int
112i_mmarray_gmin(i_mmarray *ar,int y) {
113 if (y>-1 && y<ar->lines) return ar->data[y].min;
114 else return -1;
115}
116
117int
118i_mmarray_getm(i_mmarray *ar,int y) {
119 if (y>-1 && y<ar->lines) return ar->data[y].max;
120 else return MAXINT;
121}
122
123void
124i_mmarray_render(i_img *im,i_mmarray *ar,i_color *val) {
125 int i,x;
126 for(i=0;i<ar->lines;i++) if (ar->data[i].max!=-1) for(x=ar->data[i].min;x<ar->data[i].max;x++) i_ppix(im,x,i,val);
127}
128
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129static
130void
131i_arcdraw(int x1, int y1, int x2, int y2, i_mmarray *ar) {
132 double alpha;
133 double dsec;
134 int temp;
135 alpha=(double)(y2-y1)/(double)(x2-x1);
b254292b 136 if (fabs(alpha) <= 1)
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137 {
138 if (x2<x1) { temp=x1; x1=x2; x2=temp; temp=y1; y1=y2; y2=temp; }
139 dsec=y1;
b254292b 140 while(x1<=x2)
02d1d628 141 {
02d1d628 142 i_mmarray_add(ar,x1,(int)(dsec+0.5));
b254292b 143 dsec+=alpha;
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144 x1++;
145 }
146 }
147 else
148 {
149 alpha=1/alpha;
150 if (y2<y1) { temp=x1; x1=x2; x2=temp; temp=y1; y1=y2; y2=temp; }
151 dsec=x1;
b254292b 152 while(y1<=y2)
02d1d628 153 {
02d1d628 154 i_mmarray_add(ar,(int)(dsec+0.5),y1);
b254292b 155 dsec+=alpha;
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156 y1++;
157 }
158 }
159}
160
161void
162i_mmarray_info(i_mmarray *ar) {
163 int i;
164 for(i=0;i<ar->lines;i++)
165 if (ar->data[i].max!=-1) printf("line %d: min=%d, max=%d.\n",i,ar->data[i].min,ar->data[i].max);
166}
167
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168static void
169i_arc_minmax(i_int_hlines *hlines,int x,int y,float rad,float d1,float d2) {
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170 i_mmarray dot;
171 float f,fx,fy;
172 int x1,y1;
173
a8652edf 174 /*mm_log((1,"i_arc(im* 0x%x,x %d,y %d,rad %.2f,d1 %.2f,d2 %.2f,val 0x%x)\n",im,x,y,rad,d1,d2,val));*/
02d1d628 175
a8652edf 176 i_mmarray_cr(&dot, hlines->limit_y);
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177
178 x1=(int)(x+0.5+rad*cos(d1*PI/180.0));
179 y1=(int)(y+0.5+rad*sin(d1*PI/180.0));
180 fx=(float)x1; fy=(float)y1;
181
182 /* printf("x1: %d.\ny1: %d.\n",x1,y1); */
183 i_arcdraw(x, y, x1, y1, &dot);
184
185 x1=(int)(x+0.5+rad*cos(d2*PI/180.0));
186 y1=(int)(y+0.5+rad*sin(d2*PI/180.0));
187
188 for(f=d1;f<=d2;f+=0.01) i_mmarray_add(&dot,(int)(x+0.5+rad*cos(f*PI/180.0)),(int)(y+0.5+rad*sin(f*PI/180.0)));
6af18d2b 189
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190 /* printf("x1: %d.\ny1: %d.\n",x1,y1); */
191 i_arcdraw(x, y, x1, y1, &dot);
192
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193 /* render the minmax values onto the hlines */
194 for (y = 0; y < dot.lines; y++) {
195 if (dot.data[y].max!=-1) {
196 int minx, width;
197 minx = dot.data[y].min;
198 width = dot.data[y].max - dot.data[y].min + 1;
199 i_int_hlines_add(hlines, y, minx, width);
200 }
201 }
202
02d1d628 203 /* dot.info(); */
7f882a01 204 i_mmarray_dst(&dot);
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205}
206
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207static void
208i_arc_hlines(i_int_hlines *hlines,int x,int y,float rad,float d1,float d2) {
209 if (d1 <= d2) {
210 i_arc_minmax(hlines, x, y, rad, d1, d2);
211 }
212 else {
213 i_arc_minmax(hlines, x, y, rad, d1, 360);
214 i_arc_minmax(hlines, x, y, rad, 0, d2);
215 }
216}
217
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218/*
219=item i_arc(im, x, y, rad, d1, d2, color)
220
221=category Drawing
222=synopsis i_arc(im, 50, 50, 20, 45, 135, &color);
223
224Fills an arc centered at (x,y) with radius I<rad> covering the range
225of angles in degrees from d1 to d2, with the color.
226
227=cut
228*/
229
a8652edf 230void
97ac0a96 231i_arc(i_img *im,int x,int y,float rad,float d1,float d2,const i_color *val) {
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232 i_int_hlines hlines;
233
234 i_int_init_hlines_img(&hlines, im);
235
236 i_arc_hlines(&hlines, x, y, rad, d1, d2);
237
238 i_int_hlines_fill_color(im, &hlines, val);
239
240 i_int_hlines_destroy(&hlines);
241}
242
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243/*
244=item i_arc_cfill(im, x, y, rad, d1, d2, fill)
245
246=category Drawing
247=synopsis i_arc_cfill(im, 50, 50, 35, 90, 135, fill);
248
249Fills an arc centered at (x,y) with radius I<rad> covering the range
250of angles in degrees from d1 to d2, with the fill object.
251
252=cut
253*/
254
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255#define MIN_CIRCLE_STEPS 8
256#define MAX_CIRCLE_STEPS 360
257
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258void
259i_arc_cfill(i_img *im,int x,int y,float rad,float d1,float d2,i_fill_t *fill) {
a8652edf 260 i_int_hlines hlines;
f1ac5027 261
a8652edf 262 i_int_init_hlines_img(&hlines, im);
f1ac5027 263
a8652edf 264 i_arc_hlines(&hlines, x, y, rad, d1, d2);
f1ac5027 265
a8652edf 266 i_int_hlines_fill_fill(im, &hlines, fill);
f1ac5027 267
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268 i_int_hlines_destroy(&hlines);
269}
f1ac5027 270
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271static void
272arc_poly(int *count, double **xvals, double **yvals,
273 double x, double y, double rad, double d1, double d2) {
274 double d1_rad, d2_rad;
275 double circum;
276 int steps, point_count;
277 double angle_inc;
278
279 /* normalize the angles */
280 d1 = fmod(d1, 360);
281 if (d1 == 0) {
282 if (d2 >= 360) { /* default is 361 */
283 d2 = 360;
284 }
285 else {
286 d2 = fmod(d2, 360);
287 if (d2 < d1)
288 d2 += 360;
289 }
290 }
291 else {
292 d2 = fmod(d2, 360);
293 if (d2 < d1)
294 d2 += 360;
295 }
296 d1_rad = d1 * PI / 180;
297 d2_rad = d2 * PI / 180;
298
299 /* how many segments for the curved part?
300 we do a maximum of one per degree, with a minimum of 8/circle
301 we try to aim at having about one segment per 2 pixels
302 Work it out per circle to get a step size.
303
304 I was originally making steps = circum/2 but that looked horrible.
305
306 I think there might be an issue in the polygon filler.
307 */
308 circum = 2 * PI * rad;
309 steps = circum;
310 if (steps > MAX_CIRCLE_STEPS)
311 steps = MAX_CIRCLE_STEPS;
312 else if (steps < MIN_CIRCLE_STEPS)
313 steps = MIN_CIRCLE_STEPS;
314
315 angle_inc = 2 * PI / steps;
316
317 point_count = steps + 5; /* rough */
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318 /* point_count is always relatively small, so allocation won't overflow */
319 *xvals = mymalloc(point_count * sizeof(double)); /* checked 17feb2005 tonyc */
320 *yvals = mymalloc(point_count * sizeof(double)); /* checked 17feb2005 tonyc */
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321
322 /* from centre to edge at d1 */
323 (*xvals)[0] = x;
324 (*yvals)[0] = y;
325 (*xvals)[1] = x + rad * cos(d1_rad);
326 (*yvals)[1] = y + rad * sin(d1_rad);
327 *count = 2;
328
329 /* step around the curve */
330 while (d1_rad < d2_rad) {
331 (*xvals)[*count] = x + rad * cos(d1_rad);
332 (*yvals)[*count] = y + rad * sin(d1_rad);
333 ++*count;
334 d1_rad += angle_inc;
335 }
f1ac5027 336
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337 /* finish off the curve */
338 (*xvals)[*count] = x + rad * cos(d2_rad);
339 (*yvals)[*count] = y + rad * sin(d2_rad);
340 ++*count;
341}
f1ac5027 342
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343/*
344=item i_arc_aa(im, x, y, rad, d1, d2, color)
345
346=category Drawing
347=synopsis i_arc_aa(im, 50, 50, 35, 90, 135, &color);
348
5715f7c3 349Anti-alias fills an arc centered at (x,y) with radius I<rad> covering
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350the range of angles in degrees from d1 to d2, with the color.
351
352=cut
353*/
354
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355void
356i_arc_aa(i_img *im, double x, double y, double rad, double d1, double d2,
97ac0a96 357 const i_color *val) {
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358 double *xvals, *yvals;
359 int count;
360
6b8fe08b 361 arc_poly(&count, &xvals, &yvals, x, y, rad, d1, d2);
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362
363 i_poly_aa(im, count, xvals, yvals, val);
364
365 myfree(xvals);
366 myfree(yvals);
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367}
368
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369/*
370=item i_arc_aa_cfill(im, x, y, rad, d1, d2, fill)
371
372=category Drawing
373=synopsis i_arc_aa_cfill(im, 50, 50, 35, 90, 135, fill);
374
5715f7c3 375Anti-alias fills an arc centered at (x,y) with radius I<rad> covering
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376the range of angles in degrees from d1 to d2, with the fill object.
377
378=cut
379*/
380
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381void
382i_arc_aa_cfill(i_img *im, double x, double y, double rad, double d1, double d2,
383 i_fill_t *fill) {
384 double *xvals, *yvals;
385 int count;
386
387 arc_poly(&count, &xvals, &yvals, x, y, rad, d1, d2);
388
389 i_poly_aa_cfill(im, count, xvals, yvals, fill);
6af18d2b 390
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391 myfree(xvals);
392 myfree(yvals);
393}
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394
395/* Temporary AA HACK */
396
397
398typedef int frac;
399static frac float_to_frac(float x) { return (frac)(0.5+x*16.0); }
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400
401static
402void
403polar_to_plane(float cx, float cy, float angle, float radius, frac *x, frac *y) {
404 *x = float_to_frac(cx+radius*cos(angle));
405 *y = float_to_frac(cy+radius*sin(angle));
406}
407
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408static
409void
410make_minmax_list(i_mmarray *dot, float x, float y, float radius) {
411 float angle = 0.0;
412 float astep = radius>0.1 ? .5/radius : 10;
413 frac cx, cy, lx, ly, sx, sy;
414
415 mm_log((1, "make_minmax_list(dot %p, x %.2f, y %.2f, radius %.2f)\n", dot, x, y, radius));
416
417 polar_to_plane(x, y, angle, radius, &sx, &sy);
418
419 for(angle = 0.0; angle<361; angle +=astep) {
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420 lx = sx; ly = sy;
421 polar_to_plane(x, y, angle, radius, &cx, &cy);
422 sx = cx; sy = cy;
423
424 if (fabs(cx-lx) > fabs(cy-ly)) {
425 int ccx, ccy;
426 if (lx>cx) {
427 ccx = lx; lx = cx; cx = ccx;
428 ccy = ly; ly = cy; cy = ccy;
429 }
430
431 for(ccx=lx; ccx<=cx; ccx++) {
432 ccy = ly + ((cy-ly)*(ccx-lx))/(cx-lx);
433 i_mmarray_add(dot, ccx, ccy);
434 }
435 } else {
436 int ccx, ccy;
437
438 if (ly>cy) {
439 ccy = ly; ly = cy; cy = ccy;
440 ccx = lx; lx = cx; cx = ccx;
441 }
442
443 for(ccy=ly; ccy<=cy; ccy++) {
444 if (cy-ly) ccx = lx + ((cx-lx)*(ccy-ly))/(cy-ly); else ccx = lx;
445 i_mmarray_add(dot, ccx, ccy);
446 }
447 }
448 }
449}
450
451/* Get the number of subpixels covered */
452
453static
454int
455i_pixel_coverage(i_mmarray *dot, int x, int y) {
456 frac minx = x*16;
457 frac maxx = minx+15;
458 frac cy;
459 int cnt = 0;
460
461 for(cy=y*16; cy<(y+1)*16; cy++) {
462 frac tmin = dot->data[cy].min;
463 frac tmax = dot->data[cy].max;
464
465 if (tmax == -1 || tmin > maxx || tmax < minx) continue;
466
467 if (tmin < minx) tmin = minx;
468 if (tmax > maxx) tmax = maxx;
469
470 cnt+=1+tmax-tmin;
471 }
472 return cnt;
473}
474
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475/*
476=item i_circle_aa(im, x, y, rad, color)
477
478=category Drawing
479=synopsis i_circle_aa(im, 50, 50, 45, &color);
480
5715f7c3 481Anti-alias fills a circle centered at (x,y) for radius I<rad> with
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482color.
483
484=cut
485*/
6af18d2b 486void
97ac0a96 487i_circle_aa(i_img *im, float x, float y, float rad, const i_color *val) {
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488 i_mmarray dot;
489 i_color temp;
490 int ly;
491
492 mm_log((1, "i_circle_aa(im %p, x %d, y %d, rad %.2f, val %p)\n", im, x, y, rad, val));
493
494 i_mmarray_cr(&dot,16*im->ysize);
495 make_minmax_list(&dot, x, y, rad);
496
497 for(ly = 0; ly<im->ysize; ly++) {
a659442a 498 int ix, cy, minx = INT_MAX, maxx = INT_MIN;
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499
500 /* Find the left/rightmost set subpixels */
501 for(cy = 0; cy<16; cy++) {
502 frac tmin = dot.data[ly*16+cy].min;
503 frac tmax = dot.data[ly*16+cy].max;
504 if (tmax == -1) continue;
505
506 if (minx > tmin) minx = tmin;
507 if (maxx < tmax) maxx = tmax;
508 }
509
510 if (maxx == INT_MIN) continue; /* no work to be done for this row of pixels */
511
512 minx /= 16;
513 maxx /= 16;
514 for(ix=minx; ix<=maxx; ix++) {
515 int cnt = i_pixel_coverage(&dot, ix, ly);
516 if (cnt>255) cnt = 255;
517 if (cnt) { /* should never be true */
518 int ch;
519 float ratio = (float)cnt/255.0;
520 i_gpix(im, ix, ly, &temp);
521 for(ch=0;ch<im->channels; ch++) temp.channel[ch] = (unsigned char)((float)val->channel[ch]*ratio + (float)temp.channel[ch]*(1.0-ratio));
522 i_ppix(im, ix, ly, &temp);
523 }
524 }
525 }
4b19f77a 526 i_mmarray_dst(&dot);
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527}
528
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529/*
530=item i_circle_out(im, x, y, r, col)
531
532=category Drawing
533=synopsis i_circle_out(im, 50, 50, 45, &color);
534
535Draw a circle outline centered at (x,y) with radius r,
536non-anti-aliased.
537
538Parameters:
539
540=over
541
542=item *
543
544(x, y) - the center of the circle
545
546=item *
547
548r - the radius of the circle in pixels, must be non-negative
549
550=back
551
552Returns non-zero on success.
553
554Implementation:
555
556=cut
557*/
558
559int
560i_circle_out(i_img *im, i_img_dim xc, i_img_dim yc, i_img_dim r,
561 const i_color *col) {
562 i_img_dim x, y;
563 i_img_dim dx, dy;
564 int error;
565
566 i_clear_error();
567
568 if (r < 0) {
569 i_push_error(0, "circle: radius must be non-negative");
570 return 0;
571 }
572
573 i_ppix(im, xc+r, yc, col);
574 i_ppix(im, xc-r, yc, col);
575 i_ppix(im, xc, yc+r, col);
576 i_ppix(im, xc, yc-r, col);
577
578 x = 0;
579 y = r;
580 dx = 1;
581 dy = -2 * r;
582 error = 1 - r;
583 while (x < y) {
584 if (error >= 0) {
585 --y;
586 dy += 2;
587 error += dy;
588 }
589 ++x;
590 dx += 2;
591 error += dx;
592
593 i_ppix(im, xc + x, yc + y, col);
594 i_ppix(im, xc + x, yc - y, col);
595 i_ppix(im, xc - x, yc + y, col);
596 i_ppix(im, xc - x, yc - y, col);
597 if (x != y) {
598 i_ppix(im, xc + y, yc + x, col);
599 i_ppix(im, xc + y, yc - x, col);
600 i_ppix(im, xc - y, yc + x, col);
601 i_ppix(im, xc - y, yc - x, col);
602 }
603 }
604
605 return 1;
606}
607
608/*
609=item arc_seg(angle)
610
611Convert an angle in degrees into an angle measure we can generate
612simply from the numbers we have when drawing the circle.
613
614=back
615*/
616
617static i_img_dim
618arc_seg(double angle, int scale) {
619 i_img_dim seg = (angle + 45) / 90;
620 double remains = angle - seg * 90; /* should be in the range [-45,45] */
621 int sign = remains < 0 ? -1 : remains ? 1 : 0;
622
623 while (seg > 4)
624 seg -= 4;
625 if (seg == 4 && remains > 0)
626 seg = 0;
627
628 return scale * (seg * 2 + sin(remains * PI/180));
629}
630
631/*
632=item i_arc_out(im, x, y, r, d1, d2, col)
633
634=category Drawing
635=synopsis i_arc_out(im, 50, 50, 45, 45, 135, &color);
636
637Draw an arc outline centered at (x,y) with radius r, non-anti-aliased
638over the angle range d1 through d2 degrees.
639
640Parameters:
641
642=over
643
644=item *
645
646(x, y) - the center of the circle
647
648=item *
649
650r - the radius of the circle in pixels, must be non-negative
651
652=item *
653
654d1, d2 - the range of angles to draw the arc over, in degrees.
655
656=back
657
658Returns non-zero on success.
659
660Implementation:
661
662=cut
663*/
664
665int
666i_arc_out(i_img *im, i_img_dim xc, i_img_dim yc, i_img_dim r,
667 float d1, float d2, const i_color *col) {
668 i_img_dim x, y;
669 i_img_dim dx, dy;
670 int error;
671 i_img_dim segs[2][2];
672 int seg_count;
673 i_img_dim sin_th;
674 i_img_dim seg_d1, seg_d2;
675 int seg_num;
676 double inv_r;
677 i_img_dim scale = r + 1;
678 i_img_dim seg1 = scale * 2;
679 i_img_dim seg2 = scale * 4;
680 i_img_dim seg3 = scale * 6;
681 i_img_dim seg4 = scale * 8;
682
683 i_clear_error();
684
685 if (r <= 0) {
686 i_push_error(0, "arc: radius must be non-negative");
687 return 0;
688 }
689 if (d1 + 360 <= d2)
690 return i_circle_out(im, xc, yc, r, col);
691
692 if (d1 < 0)
693 d1 += 360 * floor((-d1 + 359) / 360);
694 if (d2 < 0)
695 d2 += 360 * floor((-d2 + 359) / 360);
696 d1 = fmod(d1, 360);
697 d2 = fmod(d2, 360);
698 seg_d1 = arc_seg(d1, scale);
699 seg_d2 = arc_seg(d2, scale);
700 if (seg_d2 < seg_d1) {
701 /* split into two segments */
702 segs[0][0] = 0;
703 segs[0][1] = seg_d2;
704 segs[1][0] = seg_d1;
705 segs[1][1] = seg4;
706 seg_count = 2;
707 }
708 else {
709 segs[0][0] = seg_d1;
710 segs[0][1] = seg_d2;
711 seg_count = 1;
712 }
713
714 for (seg_num = 0; seg_num < seg_count; ++seg_num) {
715 i_img_dim seg_start = segs[seg_num][0];
716 i_img_dim seg_end = segs[seg_num][1];
717 if (seg_start == 0)
718 i_ppix(im, xc+r, yc, col);
719 if (seg_start <= seg1 && seg_end >= seg1)
720 i_ppix(im, xc, yc+r, col);
721 if (seg_start <= seg2 && seg_end >= seg2)
722 i_ppix(im, xc-r, yc, col);
723 if (seg_start <= seg3 && seg_end >= seg3)
724 i_ppix(im, xc, yc-r, col);
725
726 y = 0;
727 x = r;
728 dy = 1;
729 dx = -2 * r;
730 error = 1 - r;
731 while (y < x) {
732 if (error >= 0) {
733 --x;
734 dx += 2;
735 error += dx;
736 }
737 ++y;
738 dy += 2;
739 error += dy;
740
741 sin_th = y;
742 if (seg_start <= sin_th && seg_end >= sin_th)
743 i_ppix(im, xc + x, yc + y, col);
744 if (seg_start <= seg1 - sin_th && seg_end >= seg1 - sin_th)
745 i_ppix(im, xc + y, yc + x, col);
746
747 if (seg_start <= seg1 + sin_th && seg_end >= seg1 + sin_th)
748 i_ppix(im, xc - y, yc + x, col);
749 if (seg_start <= seg2 - sin_th && seg_end >= seg2 - sin_th)
750 i_ppix(im, xc - x, yc + y, col);
751
752 if (seg_start <= seg2 + sin_th && seg_end >= seg2 + sin_th)
753 i_ppix(im, xc - x, yc - y, col);
754 if (seg_start <= seg3 - sin_th && seg_end >= seg3 - sin_th)
755 i_ppix(im, xc - y, yc - x, col);
756
757 if (seg_start <= seg3 + sin_th && seg_end >= seg3 + sin_th)
758 i_ppix(im, xc + y, yc - x, col);
759 if (seg_start <= seg4 - sin_th && seg_end >= seg4 - sin_th)
760 i_ppix(im, xc + x, yc - y, col);
761 }
762 }
763
764 return 1;
765}
766
767static double
768cover(i_img_dim r, i_img_dim j) {
769 float rjsqrt = sqrt(r*r - j*j);
770
771 return ceil(rjsqrt) - rjsqrt;
772}
773
774/*
775=item i_circle_out_aa(im, xc, yc, r, col)
776
777=synopsis i_circle_out_aa(im, 50, 50, 45, &color);
778
779Draw a circle outline centered at (x,y) with radius r, anti-aliased.
780
781Parameters:
782
783=over
784
785=item *
786
787(xc, yc) - the center of the circle
788
789=item *
790
791r - the radius of the circle in pixels, must be non-negative
792
793=item *
794
795col - an i_color for the color to draw in.
796
797=back
798
799Returns non-zero on success.
800
801=cut
802
803Based on "Fast Anti-Aliased Circle Generation", Xiaolin Wu, Graphics
804Gems.
805
806I use floating point for I<D> since for large circles the precision of
807a [0,255] value isn't sufficient when approaching the end of the
808octant.
809
810*/
811
812int
813i_circle_out_aa(i_img *im, i_img_dim xc, i_img_dim yc, i_img_dim r, const i_color *col) {
814 i_img_dim i, j;
815 double t;
816 i_color workc = *col;
817 int orig_alpha = col->channel[3];
818
819 i_clear_error();
820 if (r <= 0) {
821 i_push_error(0, "arc: radius must be non-negative");
822 return 0;
823 }
824 i = r;
825 j = 0;
826 t = 0;
827 i_ppix_norm(im, xc+i, yc+j, col);
828 i_ppix_norm(im, xc-i, yc+j, col);
829 i_ppix_norm(im, xc+j, yc+i, col);
830 i_ppix_norm(im, xc+j, yc-i, col);
831
832 while (i > j+1) {
833 double d;
834 int cv, inv_cv;
835 i_color p;
836 int ch;
837 j++;
838 d = cover(r, j);
839 cv = (int)(d * 255 + 0.5);
840 inv_cv = 255-cv;
841 if (d < t) {
842 --i;
843 }
844 if (inv_cv) {
845 workc.channel[3] = orig_alpha * inv_cv / 255;
846 i_ppix_norm(im, xc+i, yc+j, &workc);
847 i_ppix_norm(im, xc-i, yc+j, &workc);
848 i_ppix_norm(im, xc+i, yc-j, &workc);
849 i_ppix_norm(im, xc-i, yc-j, &workc);
850
851 if (i != j) {
852 i_ppix_norm(im, xc+j, yc+i, &workc);
853 i_ppix_norm(im, xc-j, yc+i, &workc);
854 i_ppix_norm(im, xc+j, yc-i, &workc);
855 i_ppix_norm(im, xc-j, yc-i, &workc);
856 }
857 }
858 if (cv && i > j) {
859 workc.channel[3] = orig_alpha * cv / 255;
860 i_ppix_norm(im, xc+i-1, yc+j, &workc);
861 i_ppix_norm(im, xc-i+1, yc+j, &workc);
862 i_ppix_norm(im, xc+i-1, yc-j, &workc);
863 i_ppix_norm(im, xc-i+1, yc-j, &workc);
864
865 if (j != i-1) {
866 i_ppix_norm(im, xc+j, yc+i-1, &workc);
867 i_ppix_norm(im, xc-j, yc+i-1, &workc);
868 i_ppix_norm(im, xc+j, yc-i+1, &workc);
869 i_ppix_norm(im, xc-j, yc-i+1, &workc);
870 }
871 }
872 t = d;
873 }
874
875 return 1;
876}
877
878/*
879=item i_arc_out_aa(im, xc, yc, r, d1, d2, col)
880
881=synopsis i_arc_out_aa(im, 50, 50, 45, 45, 125, &color);
882
883Draw a circle arc outline centered at (x,y) with radius r, from angle
884d1 degrees through angle d2 degrees, anti-aliased.
885
886Parameters:
887
888=over
889
890=item *
891
892(xc, yc) - the center of the circle
893
894=item *
895
896r - the radius of the circle in pixels, must be non-negative
897
898=item *
899
900d1, d2 - the range of angle in degrees to draw the arc through. If
901d2-d1 >= 360 a full circle is drawn.
902
903=back
904
905Returns non-zero on success.
906
907=cut
908
909Based on "Fast Anti-Aliased Circle Generation", Xiaolin Wu, Graphics
910Gems.
911
912*/
913
914int
915i_arc_out_aa(i_img *im, i_img_dim xc, i_img_dim yc, i_img_dim r, float d1, float d2, const i_color *col) {
916 i_img_dim i, j;
917 double t;
918 i_color workc = *col;
919 i_img_dim segs[2][2];
920 int seg_count;
921 i_img_dim sin_th;
922 i_img_dim seg_d1, seg_d2;
923 int seg_num;
924 int orig_alpha = col->channel[3];
925 i_img_dim scale = r + 1;
926 i_img_dim seg1 = scale * 2;
927 i_img_dim seg2 = scale * 4;
928 i_img_dim seg3 = scale * 6;
929 i_img_dim seg4 = scale * 8;
930
931 i_clear_error();
932 if (r <= 0) {
933 i_push_error(0, "arc: radius must be non-negative");
934 return 0;
935 }
936 if (d1 + 360 <= d2)
937 return i_circle_out_aa(im, xc, yc, r, col);
938
939 if (d1 < 0)
940 d1 += 360 * floor((-d1 + 359) / 360);
941 if (d2 < 0)
942 d2 += 360 * floor((-d2 + 359) / 360);
943 d1 = fmod(d1, 360);
944 d2 = fmod(d2, 360);
945 seg_d1 = arc_seg(d1, scale);
946 seg_d2 = arc_seg(d2, scale);
947 if (seg_d2 < seg_d1) {
948 /* split into two segments */
949 segs[0][0] = 0;
950 segs[0][1] = seg_d2;
951 segs[1][0] = seg_d1;
952 segs[1][1] = seg4;
953 seg_count = 2;
954 }
955 else {
956 segs[0][0] = seg_d1;
957 segs[0][1] = seg_d2;
958 seg_count = 1;
959 }
960
961 for (seg_num = 0; seg_num < seg_count; ++seg_num) {
962 i_img_dim seg_start = segs[seg_num][0];
963 i_img_dim seg_end = segs[seg_num][1];
964
965 i = r;
966 j = 0;
967 t = 0;
968
969 if (seg_start == 0)
970 i_ppix_norm(im, xc+i, yc+j, col);
971 if (seg_start <= seg1 && seg_end >= seg1)
972 i_ppix_norm(im, xc+j, yc+i, col);
973 if (seg_start <= seg2 && seg_end >= seg2)
974 i_ppix_norm(im, xc-i, yc+j, col);
975 if (seg_start <= seg3 && seg_end >= seg3)
976 i_ppix_norm(im, xc+j, yc-i, col);
977
978 while (i > j+1) {
979 int cv, inv_cv;
980 i_color p;
981 int ch;
982 double d;
983 j++;
984 d = cover(r, j);
985 cv = (int)(d * 255 + 0.5);
986 inv_cv = 255-cv;
987 if (d < t) {
988 --i;
989 }
990 sin_th = j;
991 if (inv_cv) {
992 workc.channel[3] = orig_alpha * inv_cv / 255;
993
994 if (seg_start <= sin_th && seg_end >= sin_th)
995 i_ppix_norm(im, xc+i, yc+j, &workc);
996 if (seg_start <= seg2 - sin_th && seg_end >= seg2 - sin_th)
997 i_ppix_norm(im, xc-i, yc+j, &workc);
998 if (seg_start <= seg4 - sin_th && seg_end >= seg4 - sin_th)
999 i_ppix_norm(im, xc+i, yc-j, &workc);
1000 if (seg_start <= seg2 + sin_th && seg_end >= seg2 + sin_th)
1001 i_ppix_norm(im, xc-i, yc-j, &workc);
1002
1003 if (i != j) {
1004 if (seg_start <= seg1 - sin_th && seg_end >= seg1 - sin_th)
1005 i_ppix_norm(im, xc+j, yc+i, &workc);
1006 if (seg_start <= seg1 + sin_th && seg_end >= seg1 + sin_th)
1007 i_ppix_norm(im, xc-j, yc+i, &workc);
1008 if (seg_start <= seg3 + sin_th && seg_end >= seg3 + sin_th)
1009 i_ppix_norm(im, xc+j, yc-i, &workc);
1010 if (seg_start <= seg3 - sin_th && seg_end >= seg3 - sin_th)
1011 i_ppix_norm(im, xc-j, yc-i, &workc);
1012 }
1013 }
1014 if (cv && i > j) {
1015 workc.channel[3] = orig_alpha * cv / 255;
1016 if (seg_start <= sin_th && seg_end >= sin_th)
1017 i_ppix_norm(im, xc+i-1, yc+j, &workc);
1018 if (seg_start <= seg2 - sin_th && seg_end >= seg2 - sin_th)
1019 i_ppix_norm(im, xc-i+1, yc+j, &workc);
1020 if (seg_start <= seg4 - sin_th && seg_end >= seg4 - sin_th)
1021 i_ppix_norm(im, xc+i-1, yc-j, &workc);
1022 if (seg_start <= seg2 + sin_th && seg_end >= seg2 + sin_th)
1023 i_ppix_norm(im, xc-i+1, yc-j, &workc);
1024
1025 if (seg_start <= seg1 - sin_th && seg_end >= seg1 - sin_th)
1026 i_ppix_norm(im, xc+j, yc+i-1, &workc);
1027 if (seg_start <= seg1 + sin_th && seg_end >= seg1 + sin_th)
1028 i_ppix_norm(im, xc-j, yc+i-1, &workc);
1029 if (seg_start <= seg3 + sin_th && seg_end >= seg3 + sin_th)
1030 i_ppix_norm(im, xc+j, yc-i+1, &workc);
1031 if (seg_start <= seg3 - sin_th && seg_end >= seg3 - sin_th)
1032 i_ppix_norm(im, xc-j, yc-i+1, &workc);
1033 }
1034 t = d;
1035 }
1036 }
1037
1038 return 1;
1039}
1040
92bda632
TC
1041/*
1042=item i_box(im, x1, y1, x2, y2, color)
6af18d2b 1043
92bda632
TC
1044=category Drawing
1045=synopsis i_box(im, 0, 0, im->xsize-1, im->ysize-1, &color).
6af18d2b 1046
92bda632 1047Outlines the box from (x1,y1) to (x2,y2) inclusive with I<color>.
6af18d2b 1048
92bda632
TC
1049=cut
1050*/
6af18d2b 1051
02d1d628 1052void
97ac0a96 1053i_box(i_img *im,int x1,int y1,int x2,int y2,const i_color *val) {
02d1d628
AMH
1054 int x,y;
1055 mm_log((1,"i_box(im* 0x%x,x1 %d,y1 %d,x2 %d,y2 %d,val 0x%x)\n",im,x1,y1,x2,y2,val));
1056 for(x=x1;x<x2+1;x++) {
1057 i_ppix(im,x,y1,val);
1058 i_ppix(im,x,y2,val);
1059 }
1060 for(y=y1;y<y2+1;y++) {
1061 i_ppix(im,x1,y,val);
1062 i_ppix(im,x2,y,val);
1063 }
1064}
1065
92bda632
TC
1066/*
1067=item i_box_filled(im, x1, y1, x2, y2, color)
1068
1069=category Drawing
1070=synopsis i_box_filled(im, 0, 0, im->xsize-1, im->ysize-1, &color);
1071
1072Fills the box from (x1,y1) to (x2,y2) inclusive with color.
1073
1074=cut
1075*/
1076
02d1d628 1077void
97ac0a96 1078i_box_filled(i_img *im,int x1,int y1,int x2,int y2, const i_color *val) {
3b000586
TC
1079 i_img_dim x, y, width;
1080 i_palidx index;
1081
02d1d628 1082 mm_log((1,"i_box_filled(im* 0x%x,x1 %d,y1 %d,x2 %d,y2 %d,val 0x%x)\n",im,x1,y1,x2,y2,val));
3b000586
TC
1083
1084 if (x1 > x2 || y1 > y2
1085 || x2 < 0 || y2 < 0
1086 || x1 >= im->xsize || y1 > im->ysize)
1087 return;
1088
1089 if (x1 < 0)
1090 x1 = 0;
1091 if (x2 >= im->xsize)
1092 x2 = im->xsize - 1;
1093 if (y1 < 0)
1094 y1 = 0;
1095 if (y2 >= im->ysize)
1096 y2 = im->ysize - 1;
1097
1098 width = x2 - x1 + 1;
1099
1100 if (im->type == i_palette_type
1101 && i_findcolor(im, val, &index)) {
1102 i_palidx *line = mymalloc(sizeof(i_palidx) * width);
1103
1104 for (x = 0; x < width; ++x)
1105 line[x] = index;
1106
1107 for (y = y1; y <= y2; ++y)
1108 i_ppal(im, x1, x2+1, y, line);
1109
1110 myfree(line);
1111 }
1112 else {
1113 i_color *line = mymalloc(sizeof(i_color) * width);
1114
1115 for (x = 0; x < width; ++x)
1116 line[x] = *val;
1117
1118 for (y = y1; y <= y2; ++y)
1119 i_plin(im, x1, x2+1, y, line);
1120
1121 myfree(line);
1122 }
02d1d628
AMH
1123}
1124
92bda632
TC
1125/*
1126=item i_box_cfill(im, x1, y1, x2, y2, fill)
1127
1128=category Drawing
1129=synopsis i_box_cfill(im, 0, 0, im->xsize-1, im->ysize-1, fill);
1130
1131Fills the box from (x1,y1) to (x2,y2) inclusive with fill.
1132
1133=cut
1134*/
1135
f1ac5027
TC
1136void
1137i_box_cfill(i_img *im,int x1,int y1,int x2,int y2,i_fill_t *fill) {
9b1ec2b8 1138 i_render r;
f1ac5027
TC
1139 mm_log((1,"i_box_cfill(im* 0x%x,x1 %d,y1 %d,x2 %d,y2 %d,fill 0x%x)\n",im,x1,y1,x2,y2,fill));
1140
1141 ++x2;
f0960b14
TC
1142 if (x1 < 0)
1143 x1 = 0;
1144 if (y1 < 0)
1145 y1 = 0;
1146 if (x2 > im->xsize)
1147 x2 = im->xsize;
1148 if (y2 >= im->ysize)
1149 y2 = im->ysize-1;
1150 if (x1 >= x2 || y1 > y2)
1151 return;
9b1ec2b8
TC
1152
1153 i_render_init(&r, im, x2-x1);
1154 while (y1 <= y2) {
1155 i_render_fill(&r, x1, y1, x2-x1, NULL, fill);
1156 ++y1;
f1ac5027 1157 }
9b1ec2b8 1158 i_render_done(&r);
f1ac5027 1159}
02d1d628 1160
aa833c97 1161/*
5715f7c3 1162=item i_line(C<im>, C<x1>, C<y1>, C<x2>, C<y2>, C<color>, C<endp>)
aa833c97 1163
92bda632
TC
1164=category Drawing
1165
5715f7c3 1166=for stopwords Bresenham's
aa833c97 1167
5715f7c3
TC
1168Draw a line to image using Bresenham's line drawing algorithm
1169
1170 im - image to draw to
1171 x1 - starting x coordinate
1172 y1 - starting x coordinate
1173 x2 - starting x coordinate
1174 y2 - starting x coordinate
1175 color - color to write to image
1176 endp - endpoint flag (boolean)
aa833c97
AMH
1177
1178=cut
1179*/
1180
02d1d628 1181void
97ac0a96 1182i_line(i_img *im, int x1, int y1, int x2, int y2, const i_color *val, int endp) {
aa833c97
AMH
1183 int x, y;
1184 int dx, dy;
1185 int p;
02d1d628 1186
aa833c97
AMH
1187 dx = x2 - x1;
1188 dy = y2 - y1;
02d1d628 1189
aa833c97
AMH
1190
1191 /* choose variable to iterate on */
1192 if (abs(dx)>abs(dy)) {
1193 int dx2, dy2, cpy;
1194
1195 /* sort by x */
1196 if (x1 > x2) {
1197 int t;
1198 t = x1; x1 = x2; x2 = t;
1199 t = y1; y1 = y2; y2 = t;
02d1d628 1200 }
aa833c97
AMH
1201
1202 dx = abs(dx);
1203 dx2 = dx*2;
1204 dy = y2 - y1;
1205
1206 if (dy<0) {
1207 dy = -dy;
1208 cpy = -1;
1209 } else {
1210 cpy = 1;
1211 }
1212 dy2 = dy*2;
1213 p = dy2 - dx;
1214
1215
1216 y = y1;
1217 for(x=x1; x<x2-1; x++) {
1218 if (p<0) {
1219 p += dy2;
1220 } else {
1221 y += cpy;
1222 p += dy2-dx2;
1223 }
1224 i_ppix(im, x+1, y, val);
02d1d628 1225 }
aa833c97
AMH
1226 } else {
1227 int dy2, dx2, cpx;
1228
1229 /* sort bx y */
1230 if (y1 > y2) {
1231 int t;
1232 t = x1; x1 = x2; x2 = t;
1233 t = y1; y1 = y2; y2 = t;
1234 }
1235
1236 dy = abs(dy);
1237 dx = x2 - x1;
1238 dy2 = dy*2;
1239
1240 if (dx<0) {
1241 dx = -dx;
1242 cpx = -1;
1243 } else {
1244 cpx = 1;
1245 }
1246 dx2 = dx*2;
1247 p = dx2 - dy;
1248
1249 x = x1;
1250
1251 for(y=y1; y<y2-1; y++) {
1252 if (p<0) {
1253 p += dx2;
1254 } else {
1255 x += cpx;
1256 p += dx2-dy2;
1257 }
1258 i_ppix(im, x, y+1, val);
1259 }
1260 }
1261 if (endp) {
1262 i_ppix(im, x1, y1, val);
1263 i_ppix(im, x2, y2, val);
1264 } else {
1265 if (x1 != x2 || y1 != y2)
1266 i_ppix(im, x1, y1, val);
1267 }
02d1d628
AMH
1268}
1269
aa833c97 1270
02d1d628 1271void
b437ce0a
AMH
1272i_line_dda(i_img *im, int x1, int y1, int x2, int y2, i_color *val) {
1273
1274 float dy;
1275 int x;
1276
1277 for(x=x1; x<=x2; x++) {
1278 dy = y1+ (x-x1)/(float)(x2-x1)*(y2-y1);
135fb460 1279 i_ppix(im, x, (int)(dy+0.5), val);
b437ce0a
AMH
1280 }
1281}
1282
92bda632 1283/*
5715f7c3 1284=item i_line_aa(C<im>, C<x1>, C<x2>, C<y1>, C<y2>, C<color>, C<endp>)
92bda632
TC
1285
1286=category Drawing
1287
5715f7c3 1288Anti-alias draws a line from (x1,y1) to (x2, y2) in color.
b437ce0a 1289
5715f7c3 1290The point (x2, y2) is drawn only if C<endp> is set.
92bda632
TC
1291
1292=cut
1293*/
b437ce0a
AMH
1294
1295void
97ac0a96 1296i_line_aa(i_img *im, int x1, int y1, int x2, int y2, const i_color *val, int endp) {
b437ce0a
AMH
1297 int x, y;
1298 int dx, dy;
1299 int p;
b437ce0a
AMH
1300
1301 dx = x2 - x1;
1302 dy = y2 - y1;
1303
1304 /* choose variable to iterate on */
1305 if (abs(dx)>abs(dy)) {
1306 int dx2, dy2, cpy;
1307
1308 /* sort by x */
1309 if (x1 > x2) {
1310 int t;
1311 t = x1; x1 = x2; x2 = t;
1312 t = y1; y1 = y2; y2 = t;
1313 }
1314
1315 dx = abs(dx);
1316 dx2 = dx*2;
1317 dy = y2 - y1;
1318
1319 if (dy<0) {
1320 dy = -dy;
1321 cpy = -1;
1322 } else {
1323 cpy = 1;
1324 }
1325 dy2 = dy*2;
1326 p = dy2 - dx2; /* this has to be like this for AA */
1327
1328 y = y1;
1329
1330 for(x=x1; x<x2-1; x++) {
1331 int ch;
1332 i_color tval;
1333 float t = (dy) ? -(float)(p)/(float)(dx2) : 1;
1334 float t1, t2;
1335
1336 if (t<0) t = 0;
1337 t1 = 1-t;
1338 t2 = t;
1339
1340 i_gpix(im,x+1,y,&tval);
1341 for(ch=0;ch<im->channels;ch++)
1342 tval.channel[ch]=(unsigned char)(t1*(float)tval.channel[ch]+t2*(float)val->channel[ch]);
1343 i_ppix(im,x+1,y,&tval);
1344
1345 i_gpix(im,x+1,y+cpy,&tval);
1346 for(ch=0;ch<im->channels;ch++)
1347 tval.channel[ch]=(unsigned char)(t2*(float)tval.channel[ch]+t1*(float)val->channel[ch]);
1348 i_ppix(im,x+1,y+cpy,&tval);
1349
1350 if (p<0) {
1351 p += dy2;
1352 } else {
1353 y += cpy;
1354 p += dy2-dx2;
1355 }
1356 }
1357 } else {
1358 int dy2, dx2, cpx;
1359
1360 /* sort bx y */
1361 if (y1 > y2) {
1362 int t;
1363 t = x1; x1 = x2; x2 = t;
1364 t = y1; y1 = y2; y2 = t;
1365 }
1366
1367 dy = abs(dy);
1368 dx = x2 - x1;
1369 dy2 = dy*2;
1370
1371 if (dx<0) {
1372 dx = -dx;
1373 cpx = -1;
1374 } else {
1375 cpx = 1;
1376 }
1377 dx2 = dx*2;
1378 p = dx2 - dy2; /* this has to be like this for AA */
1379
1380 x = x1;
1381
1382 for(y=y1; y<y2-1; y++) {
1383 int ch;
1384 i_color tval;
1385 float t = (dx) ? -(float)(p)/(float)(dy2) : 1;
1386 float t1, t2;
1387
1388 if (t<0) t = 0;
1389 t1 = 1-t;
1390 t2 = t;
1391
1392 i_gpix(im,x,y+1,&tval);
1393 for(ch=0;ch<im->channels;ch++)
1394 tval.channel[ch]=(unsigned char)(t1*(float)tval.channel[ch]+t2*(float)val->channel[ch]);
1395 i_ppix(im,x,y+1,&tval);
1396
1397 i_gpix(im,x+cpx,y+1,&tval);
1398 for(ch=0;ch<im->channels;ch++)
1399 tval.channel[ch]=(unsigned char)(t2*(float)tval.channel[ch]+t1*(float)val->channel[ch]);
1400 i_ppix(im,x+cpx,y+1,&tval);
1401
1402 if (p<0) {
1403 p += dx2;
1404 } else {
1405 x += cpx;
1406 p += dx2-dy2;
1407 }
1408 }
1409 }
1410
1411
1412 if (endp) {
1413 i_ppix(im, x1, y1, val);
1414 i_ppix(im, x2, y2, val);
1415 } else {
1416 if (x1 != x2 || y1 != y2)
1417 i_ppix(im, x1, y1, val);
1418 }
1419}
1420
1421
1422
b33c08f8 1423static double
02d1d628
AMH
1424perm(int n,int k) {
1425 double r;
1426 int i;
1427 r=1;
1428 for(i=k+1;i<=n;i++) r*=i;
1429 for(i=1;i<=(n-k);i++) r/=i;
1430 return r;
1431}
1432
1433
1434/* Note in calculating t^k*(1-t)^(n-k)
1435 we can start by using t^0=1 so this simplifies to
1436 t^0*(1-t)^n - we want to multiply that with t/(1-t) each iteration
1437 to get a new level - this may lead to errors who knows lets test it */
1438
1439void
97ac0a96 1440i_bezier_multi(i_img *im,int l,const double *x,const double *y, const i_color *val) {
02d1d628
AMH
1441 double *bzcoef;
1442 double t,cx,cy;
1443 int k,i;
1444 int lx = 0,ly = 0;
1445 int n=l-1;
1446 double itr,ccoef;
1447
f0960b14
TC
1448 /* this is the same size as the x and y arrays, so shouldn't overflow */
1449 bzcoef=mymalloc(sizeof(double)*l); /* checked 5jul05 tonyc */
02d1d628
AMH
1450 for(k=0;k<l;k++) bzcoef[k]=perm(n,k);
1451 ICL_info(val);
1452
1453
1454 /* for(k=0;k<l;k++) printf("bzcoef: %d -> %f\n",k,bzcoef[k]); */
1455 i=0;
1456 for(t=0;t<=1;t+=0.005) {
1457 cx=cy=0;
1458 itr=t/(1-t);
1459 ccoef=pow(1-t,n);
1460 for(k=0;k<l;k++) {
1461 /* cx+=bzcoef[k]*x[k]*pow(t,k)*pow(1-t,n-k);
1462 cy+=bzcoef[k]*y[k]*pow(t,k)*pow(1-t,n-k);*/
1463
1464 cx+=bzcoef[k]*x[k]*ccoef;
1465 cy+=bzcoef[k]*y[k]*ccoef;
1466 ccoef*=itr;
1467 }
1468 /* printf("%f -> (%d,%d)\n",t,(int)(0.5+cx),(int)(0.5+cy)); */
1469 if (i++) {
b437ce0a 1470 i_line_aa(im,lx,ly,(int)(0.5+cx),(int)(0.5+cy),val, 1);
02d1d628
AMH
1471 }
1472 /* i_ppix(im,(int)(0.5+cx),(int)(0.5+cy),val); */
1473 lx=(int)(0.5+cx);
1474 ly=(int)(0.5+cy);
1475 }
1476 ICL_info(val);
1477 myfree(bzcoef);
1478}
1479
02d1d628
AMH
1480/* Flood fill
1481
1482 REF: Graphics Gems I. page 282+
1483
1484*/
1485
02d1d628
AMH
1486/* This should be moved into a seperate file? */
1487
1488/* This is the truncation used:
1489
1490 a double is multiplied by 16 and then truncated.
1491 This means that 0 -> 0
1492 So a triangle of (0,0) (10,10) (10,0) Will look like it's
1493 not filling the (10,10) point nor the (10,0)-(10,10) line segment
1494
1495*/
1496
1497
02d1d628
AMH
1498/* Flood fill algorithm - based on the Ken Fishkins (pixar) gem in
1499 graphics gems I */
1500
1501/*
1502struct stc {
1503 int mylx,myrx;
1504 int dadlx,dadrx;
1505 int myy;
1506 int mydirection;
1507};
1508
1509Not used code???
1510*/
1511
1512
1513struct stack_element {
1514 int myLx,myRx;
1515 int dadLx,dadRx;
1516 int myY;
1517 int myDirection;
1518};
1519
1520
1521/* create the link data to put push onto the stack */
1522
1523static
1524struct stack_element*
1525crdata(int left,int right,int dadl,int dadr,int y, int dir) {
1526 struct stack_element *ste;
f0960b14 1527 ste = mymalloc(sizeof(struct stack_element)); /* checked 5jul05 tonyc */
a73aeb5f
AMH
1528 ste->myLx = left;
1529 ste->myRx = right;
1530 ste->dadLx = dadl;
1531 ste->dadRx = dadr;
1532 ste->myY = y;
1533 ste->myDirection = dir;
02d1d628
AMH
1534 return ste;
1535}
1536
1537/* i_ccomp compares two colors and gives true if they are the same */
1538
3efb0915
TC
1539typedef int (*ff_cmpfunc)(i_color const *c1, i_color const *c2, int channels);
1540
02d1d628 1541static int
3efb0915 1542i_ccomp_normal(i_color const *val1, i_color const *val2, int ch) {
02d1d628 1543 int i;
3efb0915
TC
1544 for(i = 0; i < ch; i++)
1545 if (val1->channel[i] !=val2->channel[i])
1546 return 0;
02d1d628
AMH
1547 return 1;
1548}
1549
3efb0915
TC
1550static int
1551i_ccomp_border(i_color const *val1, i_color const *val2, int ch) {
1552 int i;
1553 for(i = 0; i < ch; i++)
1554 if (val1->channel[i] !=val2->channel[i])
1555 return 1;
1556 return 0;
1557}
02d1d628
AMH
1558
1559static int
3efb0915 1560i_lspan(i_img *im, int seedx, int seedy, i_color const *val, ff_cmpfunc cmpfunc) {
02d1d628
AMH
1561 i_color cval;
1562 while(1) {
1563 if (seedx-1 < 0) break;
1564 i_gpix(im,seedx-1,seedy,&cval);
3efb0915
TC
1565 if (!cmpfunc(val,&cval,im->channels))
1566 break;
02d1d628
AMH
1567 seedx--;
1568 }
1569 return seedx;
1570}
1571
1572static int
3efb0915 1573i_rspan(i_img *im, int seedx, int seedy, i_color const *val, ff_cmpfunc cmpfunc) {
02d1d628
AMH
1574 i_color cval;
1575 while(1) {
1576 if (seedx+1 > im->xsize-1) break;
1577 i_gpix(im,seedx+1,seedy,&cval);
3efb0915 1578 if (!cmpfunc(val,&cval,im->channels)) break;
02d1d628
AMH
1579 seedx++;
1580 }
1581 return seedx;
1582}
1583
1584/* Macro to create a link and push on to the list */
1585
e25e59b1
AMH
1586#define ST_PUSH(left,right,dadl,dadr,y,dir) do { \
1587 struct stack_element *s = crdata(left,right,dadl,dadr,y,dir); \
1588 llist_push(st,&s); \
1589} while (0)
02d1d628
AMH
1590
1591/* pops the shadow on TOS into local variables lx,rx,y,direction,dadLx and dadRx */
1592/* No overflow check! */
1593
e25e59b1
AMH
1594#define ST_POP() do { \
1595 struct stack_element *s; \
1596 llist_pop(st,&s); \
1597 lx = s->myLx; \
1598 rx = s->myRx; \
1599 dadLx = s->dadLx; \
1600 dadRx = s->dadRx; \
1601 y = s->myY; \
1602 direction = s->myDirection; \
1603 myfree(s); \
1604} while (0)
1605
1606#define ST_STACK(dir,dadLx,dadRx,lx,rx,y) do { \
1607 int pushrx = rx+1; \
1608 int pushlx = lx-1; \
1609 ST_PUSH(lx,rx,pushlx,pushrx,y+dir,dir); \
1610 if (rx > dadRx) \
1611 ST_PUSH(dadRx+1,rx,pushlx,pushrx,y-dir,-dir); \
1612 if (lx < dadLx) ST_PUSH(lx,dadLx-1,pushlx,pushrx,y-dir,-dir); \
1613} while (0)
1614
1615#define SET(x,y) btm_set(btm,x,y)
02d1d628 1616
86d20cb9 1617/* INSIDE returns true if pixel is correct color and we haven't set it before. */
3efb0915 1618#define INSIDE(x,y, seed) ((!btm_test(btm,x,y) && ( i_gpix(im,x,y,&cval),cmpfunc(seed,&cval,channels) ) ))
02d1d628 1619
02d1d628 1620
02d1d628 1621
aa833c97
AMH
1622/* The function that does all the real work */
1623
1624static struct i_bitmap *
1625i_flood_fill_low(i_img *im,int seedx,int seedy,
3efb0915
TC
1626 int *bxminp, int *bxmaxp, int *byminp, int *bymaxp,
1627 i_color const *seed, ff_cmpfunc cmpfunc) {
aa833c97
AMH
1628 int ltx, rtx;
1629 int tx = 0;
02d1d628 1630
e25e59b1
AMH
1631 int bxmin = seedx;
1632 int bxmax = seedx;
1633 int bymin = seedy;
1634 int bymax = seedy;
02d1d628
AMH
1635
1636 struct llist *st;
1637 struct i_bitmap *btm;
1638
1639 int channels,xsize,ysize;
3efb0915 1640 i_color cval;
02d1d628 1641
a73aeb5f
AMH
1642 channels = im->channels;
1643 xsize = im->xsize;
1644 ysize = im->ysize;
02d1d628 1645
86d20cb9
AMH
1646 btm = btm_new(xsize, ysize);
1647 st = llist_new(100, sizeof(struct stack_element*));
02d1d628 1648
02d1d628 1649 /* Find the starting span and fill it */
3efb0915
TC
1650 ltx = i_lspan(im, seedx, seedy, seed, cmpfunc);
1651 rtx = i_rspan(im, seedx, seedy, seed, cmpfunc);
aa833c97 1652 for(tx=ltx; tx<=rtx; tx++) SET(tx, seedy);
353eb6e7
TC
1653 bxmin = ltx;
1654 bxmax = rtx;
02d1d628 1655
aa833c97
AMH
1656 ST_PUSH(ltx, rtx, ltx, rtx, seedy+1, 1);
1657 ST_PUSH(ltx, rtx, ltx, rtx, seedy-1, -1);
02d1d628
AMH
1658
1659 while(st->count) {
aa833c97
AMH
1660 /* Stack variables */
1661 int lx,rx;
1662 int dadLx,dadRx;
1663 int y;
1664 int direction;
e25e59b1 1665
aa833c97
AMH
1666 int x;
1667 int wasIn=0;
02d1d628 1668
aa833c97
AMH
1669 ST_POP(); /* sets lx, rx, dadLx, dadRx, y, direction */
1670
1671
1672 if (y<0 || y>ysize-1) continue;
02d1d628
AMH
1673 if (bymin > y) bymin=y; /* in the worst case an extra line */
1674 if (bymax < y) bymax=y;
1675
e25e59b1
AMH
1676
1677 x = lx+1;
3efb0915 1678 if ( lx >= 0 && (wasIn = INSIDE(lx, y, seed)) ) {
aa833c97 1679 SET(lx, y);
02d1d628 1680 lx--;
95b9922f 1681 while(lx >= 0 && INSIDE(lx, y, seed)) {
02d1d628
AMH
1682 SET(lx,y);
1683 lx--;
1684 }
1685 }
1686
86d20cb9 1687 if (bxmin > lx) bxmin = lx;
02d1d628
AMH
1688 while(x <= xsize-1) {
1689 /* printf("x=%d\n",x); */
1690 if (wasIn) {
1691
3efb0915 1692 if (INSIDE(x, y, seed)) {
02d1d628
AMH
1693 /* case 1: was inside, am still inside */
1694 SET(x,y);
1695 } else {
1696 /* case 2: was inside, am no longer inside: just found the
1697 right edge of a span */
aa833c97 1698 ST_STACK(direction, dadLx, dadRx, lx, (x-1), y);
02d1d628 1699
aa833c97 1700 if (bxmax < x) bxmax = x;
02d1d628
AMH
1701 wasIn=0;
1702 }
1703 } else {
aa833c97 1704 if (x > rx) goto EXT;
3efb0915 1705 if (INSIDE(x, y, seed)) {
aa833c97 1706 SET(x, y);
02d1d628 1707 /* case 3: Wasn't inside, am now: just found the start of a new run */
aa833c97
AMH
1708 wasIn = 1;
1709 lx = x;
02d1d628
AMH
1710 } else {
1711 /* case 4: Wasn't inside, still isn't */
1712 }
1713 }
1714 x++;
1715 }
1716 EXT: /* out of loop */
1717 if (wasIn) {
1718 /* hit an edge of the frame buffer while inside a run */
aa833c97
AMH
1719 ST_STACK(direction, dadLx, dadRx, lx, (x-1), y);
1720 if (bxmax < x) bxmax = x;
02d1d628
AMH
1721 }
1722 }
02d1d628 1723
02d1d628 1724 llist_destroy(st);
cc6483e0 1725
aa833c97
AMH
1726 *bxminp = bxmin;
1727 *bxmaxp = bxmax;
1728 *byminp = bymin;
1729 *bymaxp = bymax;
cc6483e0 1730
aa833c97
AMH
1731 return btm;
1732}
cc6483e0 1733
92bda632 1734/*
5715f7c3 1735=item i_flood_fill(C<im>, C<seedx>, C<seedy>, C<color>)
92bda632
TC
1736
1737=category Drawing
1738=synopsis i_flood_fill(im, 50, 50, &color);
cc6483e0 1739
5715f7c3
TC
1740Flood fills the 4-connected region starting from the point (C<seedx>,
1741C<seedy>) with I<color>.
cc6483e0 1742
5715f7c3 1743Returns false if (C<seedx>, C<seedy>) are outside the image.
92bda632
TC
1744
1745=cut
1746*/
cc6483e0 1747
aa833c97 1748undef_int
97ac0a96 1749i_flood_fill(i_img *im, int seedx, int seedy, const i_color *dcol) {
aa833c97
AMH
1750 int bxmin, bxmax, bymin, bymax;
1751 struct i_bitmap *btm;
1752 int x, y;
3efb0915 1753 i_color val;
cc6483e0 1754
aa833c97
AMH
1755 i_clear_error();
1756 if (seedx < 0 || seedx >= im->xsize ||
1757 seedy < 0 || seedy >= im->ysize) {
1758 i_push_error(0, "i_flood_cfill: Seed pixel outside of image");
1759 return 0;
cc6483e0 1760 }
cc6483e0 1761
3efb0915
TC
1762 /* Get the reference color */
1763 i_gpix(im, seedx, seedy, &val);
1764
1765 btm = i_flood_fill_low(im, seedx, seedy, &bxmin, &bxmax, &bymin, &bymax,
1766 &val, i_ccomp_normal);
cc6483e0 1767
aa833c97
AMH
1768 for(y=bymin;y<=bymax;y++)
1769 for(x=bxmin;x<=bxmax;x++)
1770 if (btm_test(btm,x,y))
1771 i_ppix(im,x,y,dcol);
1772 btm_destroy(btm);
1773 return 1;
cc6483e0
TC
1774}
1775
92bda632 1776/*
5715f7c3 1777=item i_flood_cfill(C<im>, C<seedx>, C<seedy>, C<fill>)
92bda632
TC
1778
1779=category Drawing
1780=synopsis i_flood_cfill(im, 50, 50, fill);
aa833c97 1781
5715f7c3
TC
1782Flood fills the 4-connected region starting from the point (C<seedx>,
1783C<seedy>) with C<fill>.
92bda632 1784
5715f7c3 1785Returns false if (C<seedx>, C<seedy>) are outside the image.
92bda632
TC
1786
1787=cut
1788*/
aa833c97 1789
a321d497 1790undef_int
cc6483e0
TC
1791i_flood_cfill(i_img *im, int seedx, int seedy, i_fill_t *fill) {
1792 int bxmin, bxmax, bymin, bymax;
1793 struct i_bitmap *btm;
3efb0915 1794 i_color val;
cc6483e0 1795
aa833c97 1796 i_clear_error();
a321d497
AMH
1797
1798 if (seedx < 0 || seedx >= im->xsize ||
1799 seedy < 0 || seedy >= im->ysize) {
3e1e2ed3 1800 i_push_error(0, "i_flood_cfill: Seed pixel outside of image");
a321d497
AMH
1801 return 0;
1802 }
1803
3efb0915
TC
1804 /* Get the reference color */
1805 i_gpix(im, seedx, seedy, &val);
1806
1807 btm = i_flood_fill_low(im, seedx, seedy, &bxmin, &bxmax, &bymin, &bymax,
1808 &val, i_ccomp_normal);
1809
1810 cfill_from_btm(im, fill, btm, bxmin, bxmax, bymin, bymax);
1811
1812 btm_destroy(btm);
1813 return 1;
1814}
1815
1816/*
5715f7c3 1817=item i_flood_fill_border(C<im>, C<seedx>, C<seedy>, C<color>, C<border>)
3efb0915
TC
1818
1819=category Drawing
1820=synopsis i_flood_fill_border(im, 50, 50, &color, &border);
1821
5715f7c3
TC
1822Flood fills the 4-connected region starting from the point (C<seedx>,
1823C<seedy>) with C<color>, fill stops when the fill reaches a pixels
1824with color C<border>.
3efb0915 1825
5715f7c3 1826Returns false if (C<seedx>, C<seedy>) are outside the image.
3efb0915
TC
1827
1828=cut
1829*/
1830
1831undef_int
1832i_flood_fill_border(i_img *im, int seedx, int seedy, const i_color *dcol,
1833 const i_color *border) {
1834 int bxmin, bxmax, bymin, bymax;
1835 struct i_bitmap *btm;
1836 int x, y;
1837
1838 i_clear_error();
1839 if (seedx < 0 || seedx >= im->xsize ||
1840 seedy < 0 || seedy >= im->ysize) {
1841 i_push_error(0, "i_flood_cfill: Seed pixel outside of image");
1842 return 0;
1843 }
1844
1845 btm = i_flood_fill_low(im, seedx, seedy, &bxmin, &bxmax, &bymin, &bymax,
1846 border, i_ccomp_border);
1847
1848 for(y=bymin;y<=bymax;y++)
1849 for(x=bxmin;x<=bxmax;x++)
1850 if (btm_test(btm,x,y))
1851 i_ppix(im,x,y,dcol);
1852 btm_destroy(btm);
1853 return 1;
1854}
1855
1856/*
5715f7c3 1857=item i_flood_cfill_border(C<im>, C<seedx>, C<seedy>, C<fill>, C<border>)
3efb0915
TC
1858
1859=category Drawing
1860=synopsis i_flood_cfill_border(im, 50, 50, fill, border);
1861
5715f7c3
TC
1862Flood fills the 4-connected region starting from the point (C<seedx>,
1863C<seedy>) with C<fill>, the fill stops when it reaches pixels of color
1864C<border>.
3efb0915 1865
5715f7c3 1866Returns false if (C<seedx>, C<seedy>) are outside the image.
3efb0915
TC
1867
1868=cut
1869*/
1870
1871undef_int
1872i_flood_cfill_border(i_img *im, int seedx, int seedy, i_fill_t *fill,
1873 const i_color *border) {
1874 int bxmin, bxmax, bymin, bymax;
1875 struct i_bitmap *btm;
1876
1877 i_clear_error();
1878
1879 if (seedx < 0 || seedx >= im->xsize ||
1880 seedy < 0 || seedy >= im->ysize) {
1881 i_push_error(0, "i_flood_cfill_border: Seed pixel outside of image");
1882 return 0;
1883 }
1884
1885 btm = i_flood_fill_low(im, seedx, seedy, &bxmin, &bxmax, &bymin, &bymax,
1886 border, i_ccomp_border);
1887
1888 cfill_from_btm(im, fill, btm, bxmin, bxmax, bymin, bymax);
1889
1890 btm_destroy(btm);
1891
1892 return 1;
1893}
1894
1895static void
1896cfill_from_btm(i_img *im, i_fill_t *fill, struct i_bitmap *btm,
1897 int bxmin, int bxmax, int bymin, int bymax) {
1898 int x, y;
1899 int start;
cc6483e0 1900
9b1ec2b8
TC
1901 i_render r;
1902
1903 i_render_init(&r, im, bxmax - bxmin + 1);
1904
1905 for(y=bymin; y<=bymax; y++) {
1906 x = bxmin;
1907 while (x <= bxmax) {
1908 while (x <= bxmax && !btm_test(btm, x, y)) {
1909 ++x;
cc6483e0 1910 }
9b1ec2b8
TC
1911 if (btm_test(btm, x, y)) {
1912 start = x;
1913 while (x <= bxmax && btm_test(btm, x, y)) {
1914 ++x;
1915 }
1916 i_render_fill(&r, start, y, x-start, NULL, fill);
cc6483e0
TC
1917 }
1918 }
cc6483e0 1919 }
9b1ec2b8 1920 i_render_done(&r);
cc6483e0 1921}