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root/radiance/ray/src/util/rmatrix.c
Revision: 2.36
Committed: Tue Sep 3 23:43:07 2019 UTC (4 years, 6 months ago) by greg
Content type: text/plain
Branch: MAIN
Changes since 2.35: +2 -1 lines
Log Message:
Minor changes should not affect behavior

File Contents

# Content
1 #ifndef lint
2 static const char RCSid[] = "$Id: rmatrix.c,v 2.35 2019/08/14 18:20:02 greg Exp $";
3 #endif
4 /*
5 * General matrix operations.
6 */
7
8 #include <stdio.h>
9 #include <stdlib.h>
10 #include <string.h>
11 #include <fcntl.h>
12 #include <errno.h>
13 #include "rtio.h"
14 #include "platform.h"
15 #include "resolu.h"
16 #include "paths.h"
17 #include "rmatrix.h"
18
19 static char rmx_mismatch_warn[] = "WARNING: data type mismatch\n";
20
21 /* Allocate a nr x nc matrix with n components */
22 RMATRIX *
23 rmx_alloc(int nr, int nc, int n)
24 {
25 RMATRIX *dnew;
26
27 if ((nr <= 0) | (nc <= 0) | (n <= 0))
28 return(NULL);
29 dnew = (RMATRIX *)malloc(sizeof(RMATRIX)-sizeof(dnew->mtx) +
30 sizeof(dnew->mtx[0])*(n*nr*nc));
31 if (!dnew)
32 return(NULL);
33 dnew->nrows = nr; dnew->ncols = nc; dnew->ncomp = n;
34 dnew->dtype = DTdouble;
35 dnew->swapin = 0;
36 dnew->info = NULL;
37 return(dnew);
38 }
39
40 /* Free a RMATRIX array */
41 void
42 rmx_free(RMATRIX *rm)
43 {
44 if (!rm) return;
45 if (rm->info)
46 free(rm->info);
47 free(rm);
48 }
49
50 /* Resolve data type based on two input types (returns 0 for mismatch) */
51 int
52 rmx_newtype(int dtyp1, int dtyp2)
53 {
54 if ((dtyp1==DTxyze) | (dtyp1==DTrgbe) |
55 (dtyp2==DTxyze) | (dtyp2==DTrgbe)
56 && dtyp1 != dtyp2)
57 return(0);
58 if (dtyp1 < dtyp2)
59 return(dtyp1);
60 return(dtyp2);
61 }
62
63 /* Append header information associated with matrix data */
64 int
65 rmx_addinfo(RMATRIX *rm, const char *info)
66 {
67 if (!rm || !info || !*info)
68 return(0);
69 if (!rm->info) {
70 rm->info = (char *)malloc(strlen(info)+1);
71 if (rm->info) rm->info[0] = '\0';
72 } else
73 rm->info = (char *)realloc(rm->info,
74 strlen(rm->info)+strlen(info)+1);
75 if (!rm->info)
76 return(0);
77 strcat(rm->info, info);
78 return(1);
79 }
80
81 static int
82 get_dminfo(char *s, void *p)
83 {
84 RMATRIX *ip = (RMATRIX *)p;
85 char fmt[MAXFMTLEN];
86 int i;
87
88 if (headidval(fmt, s))
89 return(0);
90 if (!strncmp(s, "NCOMP=", 6)) {
91 ip->ncomp = atoi(s+6);
92 return(0);
93 }
94 if (!strncmp(s, "NROWS=", 6)) {
95 ip->nrows = atoi(s+6);
96 return(0);
97 }
98 if (!strncmp(s, "NCOLS=", 6)) {
99 ip->ncols = atoi(s+6);
100 return(0);
101 }
102 if ((i = isbigendian(s)) >= 0) {
103 ip->swapin = (nativebigendian() != i);
104 return(0);
105 }
106 if (!formatval(fmt, s)) {
107 rmx_addinfo(ip, s);
108 return(0);
109 }
110 for (i = 1; i < DTend; i++)
111 if (!strcmp(fmt, cm_fmt_id[i])) {
112 ip->dtype = i;
113 return(0);
114 }
115 return(-1);
116 }
117
118 static int
119 rmx_load_ascii(RMATRIX *rm, FILE *fp)
120 {
121 int i, j, k;
122
123 for (i = 0; i < rm->nrows; i++)
124 for (j = 0; j < rm->ncols; j++)
125 for (k = 0; k < rm->ncomp; k++)
126 if (fscanf(fp, "%lf", &rmx_lval(rm,i,j,k)) != 1)
127 return(0);
128 return(1);
129 }
130
131 static int
132 rmx_load_float(RMATRIX *rm, FILE *fp)
133 {
134 int i, j, k;
135 float val[100];
136
137 if (rm->ncomp > 100) {
138 fputs("Unsupported # components in rmx_load_float()\n", stderr);
139 exit(1);
140 }
141 for (i = 0; i < rm->nrows; i++)
142 for (j = 0; j < rm->ncols; j++) {
143 if (getbinary(val, sizeof(val[0]), rm->ncomp, fp) != rm->ncomp)
144 return(0);
145 if (rm->swapin)
146 swap32((char *)val, rm->ncomp);
147 for (k = rm->ncomp; k--; )
148 rmx_lval(rm,i,j,k) = val[k];
149 }
150 return(1);
151 }
152
153 static int
154 rmx_load_double(RMATRIX *rm, FILE *fp)
155 {
156 int i, j;
157
158 for (i = 0; i < rm->nrows; i++)
159 for (j = 0; j < rm->ncols; j++) {
160 if (getbinary(&rmx_lval(rm,i,j,0), sizeof(double), rm->ncomp, fp) != rm->ncomp)
161 return(0);
162 if (rm->swapin)
163 swap64((char *)&rmx_lval(rm,i,j,0), rm->ncomp);
164 }
165 return(1);
166 }
167
168 static int
169 rmx_load_rgbe(RMATRIX *rm, FILE *fp)
170 {
171 COLOR *scan = (COLOR *)malloc(sizeof(COLOR)*rm->ncols);
172 int i, j;
173
174 if (!scan)
175 return(0);
176 for (i = 0; i < rm->nrows; i++) {
177 if (freadscan(scan, rm->ncols, fp) < 0) {
178 free(scan);
179 return(0);
180 }
181 for (j = rm->ncols; j--; ) {
182 rmx_lval(rm,i,j,0) = colval(scan[j],RED);
183 rmx_lval(rm,i,j,1) = colval(scan[j],GRN);
184 rmx_lval(rm,i,j,2) = colval(scan[j],BLU);
185 }
186 }
187 free(scan);
188 return(1);
189 }
190
191 /* Load matrix from supported file type */
192 RMATRIX *
193 rmx_load(const char *inspec)
194 {
195 FILE *fp = stdin;
196 RMATRIX dinfo;
197 RMATRIX *dnew;
198
199 if (!inspec) { /* reading from stdin? */
200 inspec = "<stdin>";
201 SET_FILE_BINARY(stdin);
202 } else if (inspec[0] == '!') {
203 if (!(fp = popen(inspec+1, "r")))
204 return(NULL);
205 SET_FILE_BINARY(stdin);
206 } else {
207 const char *sp = inspec; /* check suffix */
208 while (*sp)
209 ++sp;
210 while (sp > inspec && sp[-1] != '.')
211 --sp;
212 if (!strcasecmp(sp, "XML")) { /* assume it's a BSDF */
213 CMATRIX *cm = cm_loadBTDF((char *)inspec);
214 if (!cm)
215 return(NULL);
216 dnew = rmx_from_cmatrix(cm);
217 cm_free(cm);
218 dnew->dtype = DTascii;
219 return(dnew);
220 }
221 /* else open it ourselves */
222 if (!(fp = fopen(inspec, "rb")))
223 return(NULL);
224 }
225 #ifdef getc_unlocked
226 flockfile(fp);
227 #endif
228 dinfo.nrows = dinfo.ncols = dinfo.ncomp = 0;
229 dinfo.dtype = DTascii; /* assumed w/o FORMAT */
230 dinfo.swapin = 0;
231 dinfo.info = NULL;
232 if (getheader(fp, get_dminfo, &dinfo) < 0) {
233 fclose(fp);
234 return(NULL);
235 }
236 if ((dinfo.nrows <= 0) | (dinfo.ncols <= 0)) {
237 if (!fscnresolu(&dinfo.ncols, &dinfo.nrows, fp)) {
238 fclose(fp);
239 return(NULL);
240 }
241 if (dinfo.ncomp <= 0)
242 dinfo.ncomp = 3;
243 else if ((dinfo.dtype == DTrgbe) | (dinfo.dtype == DTxyze) &&
244 dinfo.ncomp != 3) {
245 fclose(fp);
246 return(NULL);
247 }
248 }
249 dnew = rmx_alloc(dinfo.nrows, dinfo.ncols, dinfo.ncomp);
250 if (!dnew) {
251 fclose(fp);
252 return(NULL);
253 }
254 dnew->info = dinfo.info;
255 switch (dinfo.dtype) {
256 case DTascii:
257 SET_FILE_TEXT(stdin);
258 if (!rmx_load_ascii(dnew, fp))
259 goto loaderr;
260 dnew->dtype = DTascii; /* should leave double? */
261 break;
262 case DTfloat:
263 dnew->swapin = dinfo.swapin;
264 if (!rmx_load_float(dnew, fp))
265 goto loaderr;
266 dnew->dtype = DTfloat;
267 break;
268 case DTdouble:
269 dnew->swapin = dinfo.swapin;
270 if (!rmx_load_double(dnew, fp))
271 goto loaderr;
272 dnew->dtype = DTdouble;
273 break;
274 case DTrgbe:
275 case DTxyze:
276 if (!rmx_load_rgbe(dnew, fp))
277 goto loaderr;
278 dnew->dtype = dinfo.dtype;
279 break;
280 default:
281 goto loaderr;
282 }
283 if (fp != stdin) {
284 if (inspec[0] == '!')
285 pclose(fp);
286 else
287 fclose(fp);
288 }
289 #ifdef getc_unlocked
290 else
291 funlockfile(fp);
292 #endif
293 return(dnew);
294 loaderr: /* should report error? */
295 if (inspec[0] == '!')
296 pclose(fp);
297 else
298 fclose(fp);
299 rmx_free(dnew);
300 return(NULL);
301 }
302
303 static int
304 rmx_write_ascii(const RMATRIX *rm, FILE *fp)
305 {
306 const char *fmt = (rm->dtype == DTfloat) ? " %.7e" :
307 (rm->dtype == DTrgbe) | (rm->dtype == DTxyze) ? " %.3e" :
308 " %.15e" ;
309 int i, j, k;
310
311 for (i = 0; i < rm->nrows; i++) {
312 for (j = 0; j < rm->ncols; j++) {
313 for (k = 0; k < rm->ncomp; k++)
314 fprintf(fp, fmt, rmx_lval(rm,i,j,k));
315 fputc('\t', fp);
316 }
317 fputc('\n', fp);
318 }
319 return(1);
320 }
321
322 static int
323 rmx_write_float(const RMATRIX *rm, FILE *fp)
324 {
325 int i, j, k;
326 float val[100];
327
328 if (rm->ncomp > 100) {
329 fputs("Unsupported # components in rmx_write_float()\n", stderr);
330 exit(1);
331 }
332 for (i = 0; i < rm->nrows; i++)
333 for (j = 0; j < rm->ncols; j++) {
334 for (k = rm->ncomp; k--; )
335 val[k] = (float)rmx_lval(rm,i,j,k);
336 if (putbinary(val, sizeof(val[0]), rm->ncomp, fp) != rm->ncomp)
337 return(0);
338 }
339 return(1);
340 }
341
342 static int
343 rmx_write_double(const RMATRIX *rm, FILE *fp)
344 {
345 int i, j;
346
347 for (i = 0; i < rm->nrows; i++)
348 for (j = 0; j < rm->ncols; j++)
349 if (putbinary(&rmx_lval(rm,i,j,0), sizeof(double), rm->ncomp, fp) != rm->ncomp)
350 return(0);
351 return(1);
352 }
353
354 static int
355 rmx_write_rgbe(const RMATRIX *rm, FILE *fp)
356 {
357 COLR *scan = (COLR *)malloc(sizeof(COLR)*rm->ncols);
358 int i, j;
359
360 if (!scan)
361 return(0);
362 for (i = 0; i < rm->nrows; i++) {
363 for (j = rm->ncols; j--; )
364 setcolr(scan[j], rmx_lval(rm,i,j,0),
365 rmx_lval(rm,i,j,1),
366 rmx_lval(rm,i,j,2) );
367 if (fwritecolrs(scan, rm->ncols, fp) < 0) {
368 free(scan);
369 return(0);
370 }
371 }
372 free(scan);
373 return(1);
374 }
375
376 /* Write matrix to file type indicated by dtype */
377 int
378 rmx_write(const RMATRIX *rm, int dtype, FILE *fp)
379 {
380 RMATRIX *mydm = NULL;
381 int ok = 1;
382
383 if (!rm | !fp)
384 return(0);
385 #ifdef getc_unlocked
386 flockfile(fp);
387 #endif
388 /* complete header */
389 if (rm->info)
390 fputs(rm->info, fp);
391 if (dtype == DTfromHeader)
392 dtype = rm->dtype;
393 else if ((dtype == DTrgbe) & (rm->dtype == DTxyze))
394 dtype = DTxyze;
395 else if ((dtype == DTxyze) & (rm->dtype == DTrgbe))
396 dtype = DTrgbe;
397 if ((dtype != DTrgbe) & (dtype != DTxyze)) {
398 fprintf(fp, "NROWS=%d\n", rm->nrows);
399 fprintf(fp, "NCOLS=%d\n", rm->ncols);
400 fprintf(fp, "NCOMP=%d\n", rm->ncomp);
401 } else if (rm->ncomp != 3) { /* wrong # components? */
402 double cmtx[3];
403 if (rm->ncomp != 1) /* only convert grayscale */
404 return(0);
405 cmtx[0] = cmtx[1] = cmtx[2] = 1;
406 mydm = rmx_transform(rm, 3, cmtx);
407 if (!mydm)
408 return(0);
409 rm = mydm;
410 }
411 if ((dtype == DTfloat) | (dtype == DTdouble))
412 fputendian(fp); /* important to record */
413 fputformat((char *)cm_fmt_id[dtype], fp);
414 fputc('\n', fp);
415 switch (dtype) { /* write data */
416 case DTascii:
417 ok = rmx_write_ascii(rm, fp);
418 break;
419 case DTfloat:
420 ok = rmx_write_float(rm, fp);
421 break;
422 case DTdouble:
423 ok = rmx_write_double(rm, fp);
424 break;
425 case DTrgbe:
426 case DTxyze:
427 fprtresolu(rm->ncols, rm->nrows, fp);
428 ok = rmx_write_rgbe(rm, fp);
429 break;
430 default:
431 return(0);
432 }
433 ok &= (fflush(fp) == 0);
434 #ifdef getc_unlocked
435 funlockfile(fp);
436 #endif
437 if (mydm)
438 rmx_free(mydm);
439 return(ok);
440 }
441
442 /* Allocate and assign square identity matrix with n components */
443 RMATRIX *
444 rmx_identity(const int dim, const int n)
445 {
446 RMATRIX *rid = rmx_alloc(dim, dim, n);
447 int i, k;
448
449 if (!rid)
450 return(NULL);
451 memset(rid->mtx, 0, sizeof(rid->mtx[0])*n*dim*dim);
452 for (i = dim; i--; )
453 for (k = n; k--; )
454 rmx_lval(rid,i,i,k) = 1;
455 return(rid);
456 }
457
458 /* Duplicate the given matrix */
459 RMATRIX *
460 rmx_copy(const RMATRIX *rm)
461 {
462 RMATRIX *dnew;
463
464 if (!rm)
465 return(NULL);
466 dnew = rmx_alloc(rm->nrows, rm->ncols, rm->ncomp);
467 if (!dnew)
468 return(NULL);
469 rmx_addinfo(dnew, rm->info);
470 dnew->dtype = rm->dtype;
471 memcpy(dnew->mtx, rm->mtx,
472 sizeof(rm->mtx[0])*rm->ncomp*rm->nrows*rm->ncols);
473 return(dnew);
474 }
475
476 /* Allocate and assign transposed matrix */
477 RMATRIX *
478 rmx_transpose(const RMATRIX *rm)
479 {
480 RMATRIX *dnew;
481 int i, j, k;
482
483 if (!rm)
484 return(0);
485 if ((rm->nrows == 1) | (rm->ncols == 1)) {
486 dnew = rmx_copy(rm);
487 if (!dnew)
488 return(NULL);
489 dnew->nrows = rm->ncols;
490 dnew->ncols = rm->nrows;
491 return(dnew);
492 }
493 dnew = rmx_alloc(rm->ncols, rm->nrows, rm->ncomp);
494 if (!dnew)
495 return(NULL);
496 if (rm->info) {
497 rmx_addinfo(dnew, rm->info);
498 rmx_addinfo(dnew, "Transposed rows and columns\n");
499 }
500 dnew->dtype = rm->dtype;
501 for (i = dnew->nrows; i--; )
502 for (j = dnew->ncols; j--; )
503 for (k = dnew->ncomp; k--; )
504 rmx_lval(dnew,i,j,k) = rmx_lval(rm,j,i,k);
505 return(dnew);
506 }
507
508 /* Multiply (concatenate) two matrices and allocate the result */
509 RMATRIX *
510 rmx_multiply(const RMATRIX *m1, const RMATRIX *m2)
511 {
512 RMATRIX *mres;
513 int i, j, k, h;
514
515 if (!m1 | !m2 || (m1->ncomp != m2->ncomp) | (m1->ncols != m2->nrows))
516 return(NULL);
517 mres = rmx_alloc(m1->nrows, m2->ncols, m1->ncomp);
518 if (!mres)
519 return(NULL);
520 i = rmx_newtype(m1->dtype, m2->dtype);
521 if (i)
522 mres->dtype = i;
523 else
524 rmx_addinfo(mres, rmx_mismatch_warn);
525 for (i = mres->nrows; i--; )
526 for (j = mres->ncols; j--; )
527 for (k = mres->ncomp; k--; ) {
528 long double d = 0;
529 for (h = m1->ncols; h--; )
530 d += rmx_lval(m1,i,h,k) * rmx_lval(m2,h,j,k);
531 rmx_lval(mres,i,j,k) = (double)d;
532 }
533 return(mres);
534 }
535
536 /* Element-wise multiplication (or division) of m2 into m1 */
537 int
538 rmx_elemult(RMATRIX *m1, const RMATRIX *m2, int divide)
539 {
540 int zeroDivides = 0;
541 int i, j, k;
542
543 if (!m1 | !m2 || (m1->ncols != m2->ncols) | (m1->nrows != m2->nrows))
544 return(0);
545 if ((m2->ncomp > 1) & (m2->ncomp != m1->ncomp))
546 return(0);
547 i = rmx_newtype(m1->dtype, m2->dtype);
548 if (i)
549 m1->dtype = i;
550 else
551 rmx_addinfo(m1, rmx_mismatch_warn);
552 for (i = m1->nrows; i--; )
553 for (j = m1->ncols; j--; )
554 if (divide) {
555 double d;
556 if (m2->ncomp == 1) {
557 d = rmx_lval(m2,i,j,0);
558 if (d == 0) {
559 ++zeroDivides;
560 for (k = m1->ncomp; k--; )
561 rmx_lval(m1,i,j,k) = 0;
562 } else {
563 d = 1./d;
564 for (k = m1->ncomp; k--; )
565 rmx_lval(m1,i,j,k) *= d;
566 }
567 } else
568 for (k = m1->ncomp; k--; ) {
569 d = rmx_lval(m2,i,j,k);
570 if (d == 0) {
571 ++zeroDivides;
572 rmx_lval(m1,i,j,k) = 0;
573 } else
574 rmx_lval(m1,i,j,k) /= d;
575 }
576 } else {
577 if (m2->ncomp == 1) {
578 const double d = rmx_lval(m2,i,j,0);
579 for (k = m1->ncomp; k--; )
580 rmx_lval(m1,i,j,k) *= d;
581 } else
582 for (k = m1->ncomp; k--; )
583 rmx_lval(m1,i,j,k) *= rmx_lval(m2,i,j,k);
584 }
585 if (zeroDivides) {
586 rmx_addinfo(m1, "WARNING: zero divide(s) corrupted results\n");
587 errno = ERANGE;
588 }
589 return(1);
590 }
591
592 /* Sum second matrix into first, applying scale factor beforehand */
593 int
594 rmx_sum(RMATRIX *msum, const RMATRIX *madd, const double sf[])
595 {
596 double *mysf = NULL;
597 int i, j, k;
598
599 if (!msum | !madd ||
600 (msum->nrows != madd->nrows) |
601 (msum->ncols != madd->ncols) |
602 (msum->ncomp != madd->ncomp))
603 return(0);
604 if (!sf) {
605 mysf = (double *)malloc(sizeof(double)*msum->ncomp);
606 if (!mysf)
607 return(0);
608 for (k = msum->ncomp; k--; )
609 mysf[k] = 1;
610 sf = mysf;
611 }
612 i = rmx_newtype(msum->dtype, madd->dtype);
613 if (i)
614 msum->dtype = i;
615 else
616 rmx_addinfo(msum, rmx_mismatch_warn);
617 for (i = msum->nrows; i--; )
618 for (j = msum->ncols; j--; )
619 for (k = msum->ncomp; k--; )
620 rmx_lval(msum,i,j,k) += sf[k] * rmx_lval(madd,i,j,k);
621 if (mysf)
622 free(mysf);
623 return(1);
624 }
625
626 /* Scale the given matrix by the indicated scalar component vector */
627 int
628 rmx_scale(RMATRIX *rm, const double sf[])
629 {
630 int i, j, k;
631
632 if (!rm | !sf)
633 return(0);
634 for (i = rm->nrows; i--; )
635 for (j = rm->ncols; j--; )
636 for (k = rm->ncomp; k--; )
637 rmx_lval(rm,i,j,k) *= sf[k];
638
639 if (rm->info)
640 rmx_addinfo(rm, "Applied scalar\n");
641 return(1);
642 }
643
644 /* Allocate new matrix and apply component transformation */
645 RMATRIX *
646 rmx_transform(const RMATRIX *msrc, int n, const double cmat[])
647 {
648 int i, j, ks, kd;
649 RMATRIX *dnew;
650
651 if (!msrc | (n <= 0) | !cmat)
652 return(NULL);
653 dnew = rmx_alloc(msrc->nrows, msrc->ncols, n);
654 if (!dnew)
655 return(NULL);
656 if (msrc->info) {
657 char buf[128];
658 sprintf(buf, "Applied %dx%d matrix transform\n",
659 dnew->ncomp, msrc->ncomp);
660 rmx_addinfo(dnew, msrc->info);
661 rmx_addinfo(dnew, buf);
662 }
663 dnew->dtype = msrc->dtype;
664 for (i = dnew->nrows; i--; )
665 for (j = dnew->ncols; j--; )
666 for (kd = dnew->ncomp; kd--; ) {
667 double d = 0;
668 for (ks = msrc->ncomp; ks--; )
669 d += cmat[kd*msrc->ncomp + ks] * rmx_lval(msrc,i,j,ks);
670 rmx_lval(dnew,i,j,kd) = d;
671 }
672 return(dnew);
673 }
674
675 /* Convert a color matrix to newly allocated RMATRIX buffer */
676 RMATRIX *
677 rmx_from_cmatrix(const CMATRIX *cm)
678 {
679 int i, j;
680 RMATRIX *dnew;
681
682 if (!cm)
683 return(NULL);
684 dnew = rmx_alloc(cm->nrows, cm->ncols, 3);
685 if (!dnew)
686 return(NULL);
687 dnew->dtype = DTfloat;
688 for (i = dnew->nrows; i--; )
689 for (j = dnew->ncols; j--; ) {
690 const COLORV *cv = cm_lval(cm,i,j);
691 rmx_lval(dnew,i,j,0) = cv[0];
692 rmx_lval(dnew,i,j,1) = cv[1];
693 rmx_lval(dnew,i,j,2) = cv[2];
694 }
695 return(dnew);
696 }
697
698 /* Convert general matrix to newly allocated CMATRIX buffer */
699 CMATRIX *
700 cm_from_rmatrix(const RMATRIX *rm)
701 {
702 int i, j;
703 CMATRIX *cnew;
704
705 if (!rm || rm->ncomp != 3)
706 return(NULL);
707 cnew = cm_alloc(rm->nrows, rm->ncols);
708 if (!cnew)
709 return(NULL);
710 for (i = cnew->nrows; i--; )
711 for (j = cnew->ncols; j--; ) {
712 COLORV *cv = cm_lval(cnew,i,j);
713 cv[0] = (COLORV)rmx_lval(rm,i,j,0);
714 cv[1] = (COLORV)rmx_lval(rm,i,j,1);
715 cv[2] = (COLORV)rmx_lval(rm,i,j,2);
716 }
717 return(cnew);
718 }