6 #define IMTRUNC(x) ((int)((x)*16))
8 #define coarse(x) ((x)/16)
9 #define fine(x) ((x)%16)
28 int updown; /* -1 means down, 0 vertical, 1 up */
42 int *line; /* temporary buffer for scanline */
43 int linelen; /* length of scanline */
44 ss_pair *ss_list; /* list of start stop linepairs */
45 int ssnext; /* index of the next pair to use */
46 int sslen; /* maximum number of start stop pairs */
58 p_compy(const p_point *p1, const p_point *p2) {
59 if (p1->y > p2->y) return 1;
60 if (p1->y < p2->y) return -1;
66 p_compx(const p_slice *p1, const p_slice *p2) {
67 if (p1->x > p2->x) return 1;
68 if (p1->x < p2->x) return -1;
72 /* Change this to int? and round right goddamn it! */
76 p_eval_aty(p_line *l, pcord y) {
79 if (t) return ( (y-l->y1)*l->x2 + (l->y2-y)*l->x1 )/t;
80 return (l->x1+l->x2)/2.0;
85 p_eval_atx(p_line *l, pcord x) {
88 if (t) return ( (x-l->x1)*l->y2 + (l->x2-x)*l->y1 )/t;
89 return (l->y1+l->y2)/2.0;
94 line_set_new(double *x, double *y, int l) {
96 p_line *lset = mymalloc(sizeof(p_line) * l);
100 lset[i].x1 = IMTRUNC(x[i]);
101 lset[i].y1 = IMTRUNC(y[i]);
102 lset[i].x2 = IMTRUNC(x[(i+1)%l]);
103 lset[i].y2 = IMTRUNC(y[(i+1)%l]);
104 lset[i].miny=i_min(lset[i].y1,lset[i].y2);
105 lset[i].maxy=i_max(lset[i].y1,lset[i].y2);
106 lset[i].minx=i_min(lset[i].x1,lset[i].x2);
107 lset[i].maxx=i_max(lset[i].x1,lset[i].x2);
114 point_set_new(double *x, double *y, int l) {
116 p_point *pset = mymalloc(sizeof(p_point) * l);
120 pset[i].x=IMTRUNC(x[i]);
121 pset[i].y=IMTRUNC(y[i]);
128 p_line_dump(p_line *l) {
129 printf("%d (%d,%d)->(%d,%d) [%d-%d,%d-%d]\n", l->n, l->x1, l->y1, l->x2, l->y2,
130 l->minx, l->maxx, l->miny, l->maxy);
136 ss_scanline_reset(ss_scanline *ss) {
138 memset(ss->line, 0, sizeof(int) * ss->linelen);
143 ss_scanline_init(ss_scanline *ss, int linelen, int linepairs) {
144 ss->line = mymalloc( sizeof(int) * linelen );
145 ss->linelen = linelen;
146 ss->ss_list = mymalloc( sizeof(ss_pair) * linepairs );
147 ss->sslen = linepairs;
148 ss_scanline_reset(ss);
153 ss_scanline_exorcise(ss_scanline *ss) {
161 /* returns the number of matches */
165 lines_in_interval(p_line *lset, int l, p_slice *tllist, pcord minc, pcord maxc) {
169 if (lset[k].maxy > minc && lset[k].miny < maxc) {
170 if (lset[k].miny == lset[k].maxy) {
171 POLY_DEB( printf(" HORIZONTAL - skipped\n") );
173 tllist[count].x=p_eval_aty(&lset[k],(minc+maxc)/2.0 );
184 lines_in_interval_old(p_line *lset, int l, p_slice *tllist, pcord cc) {
188 if (cc >= lset[k].miny && cc <= lset[k].maxy) {
189 if (lset[k].miny == lset[k].maxy) {
190 POLY_DEB( printf(" HORIZONTAL - skipped\n") );
193 tllist[count].x=p_eval_aty(&lset[k],cc);
202 /* marks the up variable for all lines in a slice */
206 mark_updown_slices(p_line *lset, p_slice *tllist, int count) {
209 for(k=0; k<count; k+=2) {
210 l = lset + tllist[k].n;
212 if (l->y1 == l->y2) {
213 mm_log((1, "mark_updown_slices: horizontal line being marked: internal error!\n"));
217 l->updown = (l->x1 == l->x2) ?
221 (l->y1 > l->y2) ? -1 : 1
223 (l->y1 > l->y2) ? 1 : -1;
225 POLY_DEB( printf("marking left line %d as %s(%d)\n", l->n,
226 l->updown ? l->updown == 1 ? "up" : "down" : "vert", l->updown, l->updown)
230 mm_log((1, "Invalid polygon spec, odd number of line crossings.\n"));
234 r = lset + tllist[k+1].n;
235 if (r->y1 == r->y2) {
236 mm_log((1, "mark_updown_slices: horizontal line being marked: internal error!\n"));
240 r->updown = (r->x1 == r->x2) ?
244 (r->y1 > r->y2) ? -1 : 1
246 (r->y1 > r->y2) ? 1 : -1;
248 POLY_DEB( printf("marking right line %d as %s(%d)\n", r->n,
249 r->updown ? r->updown == 1 ? "up" : "down" : "vert", r->updown, r->updown)
259 if (in>255) { return 255; }
260 else if (in>0) return in;
264 typedef void (*scanline_flusher)(i_img *im, ss_scanline *ss, int y, void *ctx);
266 /* This function must be modified later to do proper blending */
269 scanline_flush(i_img *im, ss_scanline *ss, int y, void *ctx) {
272 i_color *val = (i_color *)ctx;
273 for(x=0; x<im->xsize; x++) {
274 tv = saturate(ss->line[x]);
275 i_gpix(im, x, y, &t);
276 for(ch=0; ch<im->channels; ch++)
277 t.channel[ch] = tv/255.0 * val->channel[ch] + (1.0-tv/255.0) * t.channel[ch];
278 i_ppix(im, x, y, &t);
286 trap_square(pcord xlen, pcord ylen, double xl, double yl) {
287 POLY_DEB( printf("trap_square: %d %d %.2f %.2f\n", xlen, ylen, xl, yl) );
288 return xlen*ylen-(xl*yl)/2.0;
293 pixel_coverage calculates the 'left side' pixel coverage of a pixel that is
294 within the min/max ranges. The shape always corresponds to a square with some
295 sort of a triangle cut from it (which can also yield a triangle).
301 pixel_coverage(p_line *line, pcord minx, pcord maxx, pcord miny, pcord maxy) {
302 double lycross, rycross;
310 lycross = p_eval_atx(line, minx);
311 rycross = p_eval_atx(line, maxx);
312 l = lycross <= maxy && lycross >= miny; /* true if it enters through left side */
313 r = rycross <= maxy && rycross >= miny; /* true if it enters through left side */
316 printf("%4s(%+d): ", line->updown ? line->updown == 1 ? "up" : "down" : "vert", line->updown);
317 printf("(%2d,%2d) [%3d-%3d, %3d-%3d] lycross=%.2f rycross=%.2f", coarse(minx), coarse(miny), minx, maxx, miny, maxy, lycross, rycross);
318 printf(" l=%d r=%d\n", l, r)
322 return line->updown == 1 ?
323 (double)(maxx-minx) * (2.0*maxy-lycross-rycross)/2.0 /* up case */
325 (double)(maxx-minx) * (lycross+rycross-2*miny)/2.0; /* down case */
327 if (!l && !r) return (maxy-miny)*(maxx*2-p_eval_aty(line, miny)-p_eval_aty(line, maxy))/2.0;
330 return line->updown == 1 ?
331 trap_square(maxx-minx, maxy-miny, p_eval_aty(line, miny)-minx, p_eval_atx(line, minx)-miny) :
332 trap_square(maxx-minx, maxy-miny, p_eval_aty(line, maxy)-minx, maxy-p_eval_atx(line, minx));
336 int r = line->updown == 1 ?
337 (maxx-p_eval_aty(line, maxy))*(maxy-p_eval_atx(line, maxx))/2.0 :
338 (maxx-p_eval_aty(line, miny))*(p_eval_atx(line, maxx)-miny)/2.0;
348 handle the scanline slice in three steps
350 1. Where only the left edge is inside a pixel
351 2a. Where both left and right edge are inside a pixel
352 2b. Where neither left or right edge are inside a pixel
353 3. Where only the right edge is inside a pixel
358 render_slice_scanline(ss_scanline *ss, int y, p_line *l, p_line *r) {
360 pcord miny, maxy; /* y bounds in fine coordinates */
361 pcord lminx, lmaxx; /* left line min/max within y bounds in fine coords */
362 pcord rminx, rmaxx; /* right line min/max within y bounds in fine coords */
363 int cpix; /* x-coordinate of current pixel */
364 int thin; /* boolean for thin/thick segment */
365 int startpix; /* temporary variable for "start of this interval" */
366 int stoppix; /* temporary variable for "end of this interval" */
367 int step2end; /* temporary variable to mark where step2 ends */
369 /* Find the y bounds of scanline_slice */
371 maxy = i_min( l->maxy, r->maxy );
372 miny = i_max( l->miny, r->miny );
374 maxy = i_min( maxy, (y+1)*16 );
375 miny = i_max( miny, y*16 );
377 lminx = i_min( p_eval_aty(l, maxy), p_eval_aty(l, miny) );
378 lmaxx = i_max( p_eval_aty(l, maxy), p_eval_aty(l, miny) );
380 rminx = i_min( p_eval_aty(r, maxy), p_eval_aty(r, miny) );
381 rmaxx = i_max( p_eval_aty(r, maxy), p_eval_aty(r, miny) );
383 thin = coarse(lmaxx) >= coarse(rminx);
385 startpix = i_max( coarse(lminx), 0 );
386 stoppix = i_min( coarse(rmaxx-1), ss->linelen-1 );
388 for(cpix=startpix; cpix<=stoppix; cpix++) {
389 int lt = coarse(lmaxx-1) >= cpix;
390 int rt = coarse(rminx) <= cpix;
394 POLY_DEB( printf("(%d,%d) lt=%d rt=%d\n", cpix, y, lt, rt) );
396 A = lt ? pixel_coverage(l, cpix*16, cpix*16+16, miny, maxy) : 0;
397 B = lt ? 0 : 16*(maxy-miny);
398 C = rt ? pixel_coverage(r, cpix*16, cpix*16+16, miny, maxy) : 0;
400 POLY_DEB( printf("A=%d B=%d C=%d\n", A, B, C) );
402 ss->line[cpix] += A+B-C;
412 render_slice_scanline_old(ss_scanline *ss, int y, p_line *l, p_line *r) {
414 pcord miny, maxy; /* y bounds in fine coordinates */
415 pcord lminx, lmaxx; /* left line min/max within y bounds in fine coords */
416 pcord rminx, rmaxx; /* right line min/max within y bounds in fine coords */
417 int cpix; /* x-coordinate of current pixel */
418 int thin; /* boolean for thin/thick segment */
419 int startpix; /* temporary variable for "start of this interval" */
420 int stoppix; /* temporary variable for "end of this interval" */
421 int step2end; /* temporary variable to mark where step2 ends */
423 /* Find the y bounds of scanline_slice */
425 maxy = i_min( l->maxy, r->maxy );
426 miny = i_max( l->miny, r->miny );
428 maxy = i_min( maxy, (y+1)*16 );
429 miny = i_max( miny, y*16 );
431 lminx = i_min( p_eval_aty(l, maxy), p_eval_aty(l, miny) );
432 lmaxx = i_max( p_eval_aty(l, maxy), p_eval_aty(l, miny) );
434 rminx = i_min( p_eval_aty(r, maxy), p_eval_aty(r, miny) );
435 rmaxx = i_max( p_eval_aty(r, maxy), p_eval_aty(r, miny) );
437 thin = coarse(lmaxx) >= coarse(rminx);
441 startpix = coarse(lminx); /* includes tricky starting pixel */
442 stoppix = i_min(coarse(lmaxx), coarse(rminx) ); /* last pixel is tricky */
444 /* handle start pixel */
447 if (cpix < stoppix) {
448 ss->line[cpix] += pixel_coverage(l, cpix*16, cpix*16+16, miny, maxy);
449 printf("%2d: step1 - start pixel\n", cpix);
452 for(cpix=startpix+1; cpix<stoppix; cpix++) {
453 printf("%2d: step1 pixel\n", cpix);
454 ss->line[cpix] += l->updown == 1 ?
455 8.0 * (2*maxy-p_eval_atx(l, 16*cpix)-p_eval_atx(l, 16*cpix+16)) /* up case */
457 8.0 * (p_eval_atx(l, 16*cpix)+p_eval_atx(l, 16*cpix+16)-2*miny); /* down case */
461 /* handle stop pixel */
463 if (thin) { /* step 2a */
464 startpix = coarse(rminx);
465 stoppix = coarse(lmaxx+15); /* one more than needed */
467 for(cpix=startpix; cpix<stoppix; cpix++) {
468 printf("%2d: step2a pixel\n", cpix);
470 pixel_coverage(l, cpix*16, cpix*16+16, miny, maxy)
471 +(cpix*16+16-i_min(cpix*16+16, l->maxx))*(maxy-miny)
472 -pixel_coverage(r, cpix*16, cpix*16+16, miny, maxy);
474 } else { /* step 2b */
475 stoppix = coarse(rminx);
476 for(/* cpix already correct */; cpix<stoppix; cpix++) {
477 printf("%2d: step2b pixel\n", cpix);
478 ss->line[cpix] += 16.0*(maxy-miny);
484 cpix = i_max(coarse(rminx), coarse(lmaxx+15));
485 stoppix = coarse(rmaxx-15);
487 printf("step3 from %d to %d\n", cpix, stoppix);
489 for(; cpix<stoppix; cpix++) {
490 printf("%2d: step3 pixel\n", cpix);
493 8.0 * (2*maxy-p_eval_atx(r, 16*cpix)-p_eval_atx(r, 16*cpix+16)) /* up case */
495 8.0 * (p_eval_atx(r, 16*cpix)+p_eval_atx(r, 16*cpix+16)-2*miny)); /* down case */
498 ss->line[cpix] += (16.0)*(maxy-miny) - pixel_coverage(r, cpix*16, cpix*16+16, miny, maxy);
506 /* Antialiasing polygon algorithm
508 1. only nice polygons - no crossovers
509 2. 1/16 pixel resolution
510 3. full antialiasing ( complete spectrum of blends )
511 4. uses hardly any memory
512 5. no subsampling phase
516 1. Split into vertical intervals.
517 2. handle each interval
519 For each interval we must:
520 1. find which lines are in it
521 2. order the lines from in increasing x order.
522 since we are assuming no crossovers it is sufficent
523 to check a single point on each line.
529 1. Interval: A vertical segment in which no lines cross nor end.
530 2. Scanline: A physical line, contains 16 subpixels in the horizontal direction
531 3. Slice: A start stop line pair.
537 i_poly_aa_low(i_img *im, int l, double *x, double *y, void *ctx, scanline_flusher flusher) {
538 int i ,k; /* Index variables */
539 int clc; /* Lines inside current interval */
540 pcord miny ,maxy; /* Min and max values of the current slice in the subcord system */
542 int cscl; /* Current scanline */
544 ss_scanline templine; /* scanline accumulator */
545 p_point *pset; /* List of points in polygon */
546 p_line *lset; /* List of lines in polygon */
547 p_slice *tllist; /* List of slices */
549 mm_log((1, "i_poly_aa(im %p, l %d, x %p, y %p, ctx %p, flusher %p)\n", im, l, x, y, ctx, flusher));
552 mm_log((2, "(%.2f, %.2f)\n", x[i], y[i]));
558 setbuf(stdout, NULL);
561 tllist = mymalloc(sizeof(p_slice)*l);
563 ss_scanline_init(&templine, im->xsize, l);
565 pset = point_set_new(x, y, l);
566 lset = line_set_new(x, y, l);
569 qsort(pset, l, sizeof(p_point), (int(*)(const void *,const void *))p_compy);
573 printf("%d [ %d ] (%d , %d) -> (%d , %d) yspan ( %d , %d )\n",
574 i, lset[i].n, lset[i].x1, lset[i].y1, lset[i].x2, lset[i].y2, lset[i].miny, lset[i].maxy);
576 printf("MAIN LOOP\n\n");
580 /* loop on intervals */
581 for(i=0; i<l-1; i++) {
582 int startscan = i_max( coarse(pset[i].y), 0);
583 int stopscan = i_min( coarse(pset[i+1].y+15), im->ysize);
584 pcord cc = (pset[i].y + pset[i+1].y)/2;
586 if (pset[i].y == pset[i+1].y) {
587 POLY_DEB( printf("current slice thickness = 0 => skipping\n") );
592 printf("current slice is %d: %d to %d ( cpoint %d ) scanlines %d to %d\n",
593 i, pset[i].y, pset[i+1].y, cc, startscan, stopscan)
597 clc = lines_in_interval(lset, l, tllist, pset[i].y, pset[i+1].y);
598 qsort(tllist, clc, sizeof(p_slice), (int(*)(const void *,const void *))p_compx);
600 mark_updown_slices(lset, tllist, clc);
602 POLY_DEB( printf("Interval contains %d lines\n", clc) );
604 for(k=0; k<clc; k++) {
605 int lno = tllist[k].n;
606 p_line *ln = lset+lno;
608 printf("%d: line #%2d: (%2d, %2d)->(%2d, %2d) (%2d/%2d, %2d/%2d) -> (%2d/%2d, %2d/%2d) alignment=%s\n",
609 k, lno, ln->x1, ln->y1, ln->x2, ln->y2,
610 coarse(ln->x1), fine(ln->x1),
611 coarse(ln->y1), fine(ln->y1),
612 coarse(ln->x2), fine(ln->x2),
613 coarse(ln->y2), fine(ln->y2),
614 ln->updown == 0 ? "vert" : ln->updown == 1 ? "up" : "down")
617 for(cscl=startscan; cscl<stopscan; cscl++) {
618 tempy = i_min(cscl*16+16, pset[i+1].y);
619 POLY_DEB( printf("evaluating scan line %d \n", cscl) );
620 for(k=0; k<clc-1; k+=2) {
621 POLY_DEB( printf("evaluating slice %d\n", k) );
622 render_slice_scanline(&templine, cscl, lset+tllist[k].n, lset+tllist[k+1].n);
624 if (16*coarse(tempy) == tempy) {
625 POLY_DEB( printf("flushing scan line %d\n", cscl) );
626 flusher(im, &templine, cscl, ctx);
627 ss_scanline_reset(&templine);
631 scanline_flush(im, &templine, cscl, val);
632 ss_scanline_reset(&templine);
638 if (16*coarse(tempy) != tempy)
639 flusher(im, &templine, cscl-1, ctx);
641 ss_scanline_exorcise(&templine);
649 i_poly_aa(i_img *im, int l, double *x, double *y, i_color *val) {
650 i_poly_aa_low(im, l, x, y, val, scanline_flush);
653 struct poly_cfill_state {
661 scanline_flush_cfill(i_img *im, ss_scanline *ss, int y, void *ctx) {
666 struct poly_cfill_state *state = (struct poly_cfill_state *)ctx;
667 i_color *fillbuf = state->fillbuf;
668 i_color *line = state->linebuf;
671 while (left < im->xsize && ss->line[left] <= 0)
673 if (left < im->xsize) {
675 /* since going from the left found something, moving from the
677 while (/* right > left && */ ss->line[right-1] <= 0)
680 (state->fill->fill_with_color)(state->fill, left, y, right-left,
681 im->channels, fillbuf);
682 i_glin(im, left, right, y, line);
684 if (state->fill->combine) {
685 for (x = left; x < right; ++x) {
686 tv = saturate(ss->line[x]);
687 fillbuf[pos].channel[3] =
688 fillbuf[pos].channel[3] * tv / 255;
690 (state->fill->combine)(line, fillbuf, im->channels, right-left);
694 for (x = left; x < right; ++x) {
695 tv = saturate(ss->line[x]);
698 line[pos] = fillbuf[pos];
701 i_color *to = line + pos;
702 i_color *from = fillbuf + pos;
703 for (ch = 0; ch < im->channels; ++ch) {
704 to->channel[ch] = (tv * from->channel[ch] +
705 (255 - tv) * to->channel[ch]) / 255;
712 i_plin(im, left, right, y, line);
716 struct poly_cfill_state_f {
724 scanline_flush_cfill_f(i_img *im, ss_scanline *ss, int y, void *ctx) {
728 struct poly_cfill_state_f *state = (struct poly_cfill_state_f *)ctx;
729 i_fcolor *fillbuf = state->fillbuf;
730 i_fcolor *line = state->linebuf;
733 while (left < im->xsize && ss->line[left] <= 0)
735 if (left < im->xsize) {
737 /* since going from the left found something, moving from the
739 while (/* right > left && */ ss->line[right-1] <= 0)
742 (state->fill->fill_with_fcolor)(state->fill, left, y, right-left,
743 im->channels, fillbuf);
744 i_glinf(im, left, right, y, line);
746 if (state->fill->combinef) {
747 for (x = left; x < right; ++x) {
748 tv = saturate(ss->line[x]);
749 fillbuf[pos].channel[3] =
750 fillbuf[pos].channel[3] * tv / 255;
752 (state->fill->combinef)(line, fillbuf, im->channels, right-left);
756 for (x = left; x < right; ++x) {
757 tv = saturate(ss->line[x]);
760 line[pos] = fillbuf[pos];
763 i_fcolor *to = line + pos;
764 i_fcolor *from = fillbuf + pos;
765 for (ch = 0; ch < im->channels; ++ch) {
766 to->channel[ch] = (tv * from->channel[ch] +
767 (255 - tv) * to->channel[ch]) / 255;
774 i_plinf(im, left, right, y, line);
779 i_poly_aa_cfill(i_img *im, int l, double *x, double *y, i_fill_t *fill) {
780 if (im->bits == i_8_bits && fill->fill_with_color) {
781 struct poly_cfill_state ctx;
782 ctx.fillbuf = mymalloc(sizeof(i_color) * im->xsize * 2);
783 ctx.linebuf = ctx.fillbuf + im->xsize;
784 ctx.cover = mymalloc(sizeof(int) * im->xsize);
786 i_poly_aa_low(im, l, x, y, &ctx, scanline_flush_cfill);
791 struct poly_cfill_state_f ctx;
792 ctx.fillbuf = mymalloc(sizeof(i_fcolor) * im->xsize * 2);
793 ctx.linebuf = ctx.fillbuf + im->xsize;
794 ctx.cover = mymalloc(sizeof(int) * im->xsize);
796 i_poly_aa_low(im, l, x, y, &ctx, scanline_flush_cfill_f);