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      1 /*
      2  * jccolor.c
      3  *
      4  * Copyright (C) 1991-1996, Thomas G. Lane.
      5  * Modified 2011-2012 by Guido Vollbeding.
      6  * This file is part of the Independent JPEG Group's software.
      7  * For conditions of distribution and use, see the accompanying README file.
      8  *
      9  * This file contains input colorspace conversion routines.
     10  */
     11 
     12 #define JPEG_INTERNALS
     13 #include "jinclude.h"
     14 #include "jpeglib.h"
     15 
     16 
     17 /* Private subobject */
     18 
     19 typedef struct {
     20   struct jpeg_color_converter pub; /* public fields */
     21 
     22   /* Private state for RGB->YCC conversion */
     23   INT32 * rgb_ycc_tab;		/* => table for RGB to YCbCr conversion */
     24 } my_color_converter;
     25 
     26 typedef my_color_converter * my_cconvert_ptr;
     27 
     28 
     29 /**************** RGB -> YCbCr conversion: most common case **************/
     30 
     31 /*
     32  * YCbCr is defined per CCIR 601-1, except that Cb and Cr are
     33  * normalized to the range 0..MAXJSAMPLE rather than -0.5 .. 0.5.
     34  * The conversion equations to be implemented are therefore
     35  *	Y  =  0.29900 * R + 0.58700 * G + 0.11400 * B
     36  *	Cb = -0.16874 * R - 0.33126 * G + 0.50000 * B  + CENTERJSAMPLE
     37  *	Cr =  0.50000 * R - 0.41869 * G - 0.08131 * B  + CENTERJSAMPLE
     38  * (These numbers are derived from TIFF 6.0 section 21, dated 3-June-92.)
     39  * Note: older versions of the IJG code used a zero offset of MAXJSAMPLE/2,
     40  * rather than CENTERJSAMPLE, for Cb and Cr.  This gave equal positive and
     41  * negative swings for Cb/Cr, but meant that grayscale values (Cb=Cr=0)
     42  * were not represented exactly.  Now we sacrifice exact representation of
     43  * maximum red and maximum blue in order to get exact grayscales.
     44  *
     45  * To avoid floating-point arithmetic, we represent the fractional constants
     46  * as integers scaled up by 2^16 (about 4 digits precision); we have to divide
     47  * the products by 2^16, with appropriate rounding, to get the correct answer.
     48  *
     49  * For even more speed, we avoid doing any multiplications in the inner loop
     50  * by precalculating the constants times R,G,B for all possible values.
     51  * For 8-bit JSAMPLEs this is very reasonable (only 256 entries per table);
     52  * for 12-bit samples it is still acceptable.  It's not very reasonable for
     53  * 16-bit samples, but if you want lossless storage you shouldn't be changing
     54  * colorspace anyway.
     55  * The CENTERJSAMPLE offsets and the rounding fudge-factor of 0.5 are included
     56  * in the tables to save adding them separately in the inner loop.
     57  */
     58 
     59 #define SCALEBITS	16	/* speediest right-shift on some machines */
     60 #define CBCR_OFFSET	((INT32) CENTERJSAMPLE << SCALEBITS)
     61 #define ONE_HALF	((INT32) 1 << (SCALEBITS-1))
     62 #define FIX(x)		((INT32) ((x) * (1L<<SCALEBITS) + 0.5))
     63 
     64 /* We allocate one big table and divide it up into eight parts, instead of
     65  * doing eight alloc_small requests.  This lets us use a single table base
     66  * address, which can be held in a register in the inner loops on many
     67  * machines (more than can hold all eight addresses, anyway).
     68  */
     69 
     70 #define R_Y_OFF		0			/* offset to R => Y section */
     71 #define G_Y_OFF		(1*(MAXJSAMPLE+1))	/* offset to G => Y section */
     72 #define B_Y_OFF		(2*(MAXJSAMPLE+1))	/* etc. */
     73 #define R_CB_OFF	(3*(MAXJSAMPLE+1))
     74 #define G_CB_OFF	(4*(MAXJSAMPLE+1))
     75 #define B_CB_OFF	(5*(MAXJSAMPLE+1))
     76 #define R_CR_OFF	B_CB_OFF		/* B=>Cb, R=>Cr are the same */
     77 #define G_CR_OFF	(6*(MAXJSAMPLE+1))
     78 #define B_CR_OFF	(7*(MAXJSAMPLE+1))
     79 #define TABLE_SIZE	(8*(MAXJSAMPLE+1))
     80 
     81 
     82 /*
     83  * Initialize for RGB->YCC colorspace conversion.
     84  */
     85 
     86 METHODDEF(void)
     87 rgb_ycc_start (j_compress_ptr cinfo)
     88 {
     89   my_cconvert_ptr cconvert = (my_cconvert_ptr) cinfo->cconvert;
     90   INT32 * rgb_ycc_tab;
     91   INT32 i;
     92 
     93   /* Allocate and fill in the conversion tables. */
     94   cconvert->rgb_ycc_tab = rgb_ycc_tab = (INT32 *)
     95     (*cinfo->mem->alloc_small) ((j_common_ptr) cinfo, JPOOL_IMAGE,
     96                                 (TABLE_SIZE * SIZEOF(INT32)));
     97 
     98   for (i = 0; i <= MAXJSAMPLE; i++) {
     99     rgb_ycc_tab[i+R_Y_OFF] = FIX(0.29900) * i;
    100     rgb_ycc_tab[i+G_Y_OFF] = FIX(0.58700) * i;
    101     rgb_ycc_tab[i+B_Y_OFF] = FIX(0.11400) * i     + ONE_HALF;
    102     rgb_ycc_tab[i+R_CB_OFF] = (-FIX(0.16874)) * i;
    103     rgb_ycc_tab[i+G_CB_OFF] = (-FIX(0.33126)) * i;
    104     /* We use a rounding fudge-factor of 0.5-epsilon for Cb and Cr.
    105      * This ensures that the maximum output will round to MAXJSAMPLE
    106      * not MAXJSAMPLE+1, and thus that we don't have to range-limit.
    107      */
    108     rgb_ycc_tab[i+B_CB_OFF] = FIX(0.50000) * i    + CBCR_OFFSET + ONE_HALF-1;
    109 /*  B=>Cb and R=>Cr tables are the same
    110     rgb_ycc_tab[i+R_CR_OFF] = FIX(0.50000) * i    + CBCR_OFFSET + ONE_HALF-1;
    111 */
    112     rgb_ycc_tab[i+G_CR_OFF] = (-FIX(0.41869)) * i;
    113     rgb_ycc_tab[i+B_CR_OFF] = (-FIX(0.08131)) * i;
    114   }
    115 }
    116 
    117 
    118 /*
    119  * Convert some rows of samples to the JPEG colorspace.
    120  *
    121  * Note that we change from the application's interleaved-pixel format
    122  * to our internal noninterleaved, one-plane-per-component format.
    123  * The input buffer is therefore three times as wide as the output buffer.
    124  *
    125  * A starting row offset is provided only for the output buffer.  The caller
    126  * can easily adjust the passed input_buf value to accommodate any row
    127  * offset required on that side.
    128  */
    129 
    130 METHODDEF(void)
    131 rgb_ycc_convert (j_compress_ptr cinfo,
    132                  JSAMPARRAY input_buf, JSAMPIMAGE output_buf,
    133                  JDIMENSION output_row, int num_rows)
    134 {
    135   my_cconvert_ptr cconvert = (my_cconvert_ptr) cinfo->cconvert;
    136   register INT32 * ctab = cconvert->rgb_ycc_tab;
    137   register int r, g, b;
    138   register JSAMPROW inptr;
    139   register JSAMPROW outptr0, outptr1, outptr2;
    140   register JDIMENSION col;
    141   JDIMENSION num_cols = cinfo->image_width;
    142 
    143   while (--num_rows >= 0) {
    144     inptr = *input_buf++;
    145     outptr0 = output_buf[0][output_row];
    146     outptr1 = output_buf[1][output_row];
    147     outptr2 = output_buf[2][output_row];
    148     output_row++;
    149     for (col = 0; col < num_cols; col++) {
    150       r = GETJSAMPLE(inptr[RGB_RED]);
    151       g = GETJSAMPLE(inptr[RGB_GREEN]);
    152       b = GETJSAMPLE(inptr[RGB_BLUE]);
    153       /* If the inputs are 0..MAXJSAMPLE, the outputs of these equations
    154        * must be too; we do not need an explicit range-limiting operation.
    155        * Hence the value being shifted is never negative, and we don't
    156        * need the general RIGHT_SHIFT macro.
    157        */
    158       /* Y */
    159       outptr0[col] = (JSAMPLE)
    160                 ((ctab[r+R_Y_OFF] + ctab[g+G_Y_OFF] + ctab[b+B_Y_OFF])
    161                  >> SCALEBITS);
    162       /* Cb */
    163       outptr1[col] = (JSAMPLE)
    164                 ((ctab[r+R_CB_OFF] + ctab[g+G_CB_OFF] + ctab[b+B_CB_OFF])
    165                  >> SCALEBITS);
    166       /* Cr */
    167       outptr2[col] = (JSAMPLE)
    168                 ((ctab[r+R_CR_OFF] + ctab[g+G_CR_OFF] + ctab[b+B_CR_OFF])
    169                  >> SCALEBITS);
    170       inptr += RGB_PIXELSIZE;
    171     }
    172   }
    173 }
    174 
    175 
    176 /**************** Cases other than RGB -> YCbCr **************/
    177 
    178 
    179 /*
    180  * Convert some rows of samples to the JPEG colorspace.
    181  * This version handles RGB->grayscale conversion, which is the same
    182  * as the RGB->Y portion of RGB->YCbCr.
    183  * We assume rgb_ycc_start has been called (we only use the Y tables).
    184  */
    185 
    186 METHODDEF(void)
    187 rgb_gray_convert (j_compress_ptr cinfo,
    188                   JSAMPARRAY input_buf, JSAMPIMAGE output_buf,
    189                   JDIMENSION output_row, int num_rows)
    190 {
    191   my_cconvert_ptr cconvert = (my_cconvert_ptr) cinfo->cconvert;
    192   register INT32 * ctab = cconvert->rgb_ycc_tab;
    193   register int r, g, b;
    194   register JSAMPROW inptr;
    195   register JSAMPROW outptr;
    196   register JDIMENSION col;
    197   JDIMENSION num_cols = cinfo->image_width;
    198 
    199   while (--num_rows >= 0) {
    200     inptr = *input_buf++;
    201     outptr = output_buf[0][output_row++];
    202     for (col = 0; col < num_cols; col++) {
    203       r = GETJSAMPLE(inptr[RGB_RED]);
    204       g = GETJSAMPLE(inptr[RGB_GREEN]);
    205       b = GETJSAMPLE(inptr[RGB_BLUE]);
    206       /* Y */
    207       outptr[col] = (JSAMPLE)
    208                 ((ctab[r+R_Y_OFF] + ctab[g+G_Y_OFF] + ctab[b+B_Y_OFF])
    209                  >> SCALEBITS);
    210       inptr += RGB_PIXELSIZE;
    211     }
    212   }
    213 }
    214 
    215 
    216 /*
    217  * Convert some rows of samples to the JPEG colorspace.
    218  * This version handles Adobe-style CMYK->YCCK conversion,
    219  * where we convert R=1-C, G=1-M, and B=1-Y to YCbCr using the same
    220  * conversion as above, while passing K (black) unchanged.
    221  * We assume rgb_ycc_start has been called.
    222  */
    223 
    224 METHODDEF(void)
    225 cmyk_ycck_convert (j_compress_ptr cinfo,
    226                    JSAMPARRAY input_buf, JSAMPIMAGE output_buf,
    227                    JDIMENSION output_row, int num_rows)
    228 {
    229   my_cconvert_ptr cconvert = (my_cconvert_ptr) cinfo->cconvert;
    230   register INT32 * ctab = cconvert->rgb_ycc_tab;
    231   register int r, g, b;
    232   register JSAMPROW inptr;
    233   register JSAMPROW outptr0, outptr1, outptr2, outptr3;
    234   register JDIMENSION col;
    235   JDIMENSION num_cols = cinfo->image_width;
    236 
    237   while (--num_rows >= 0) {
    238     inptr = *input_buf++;
    239     outptr0 = output_buf[0][output_row];
    240     outptr1 = output_buf[1][output_row];
    241     outptr2 = output_buf[2][output_row];
    242     outptr3 = output_buf[3][output_row];
    243     output_row++;
    244     for (col = 0; col < num_cols; col++) {
    245       r = MAXJSAMPLE - GETJSAMPLE(inptr[0]);
    246       g = MAXJSAMPLE - GETJSAMPLE(inptr[1]);
    247       b = MAXJSAMPLE - GETJSAMPLE(inptr[2]);
    248       /* K passes through as-is */
    249       outptr3[col] = inptr[3];	/* don't need GETJSAMPLE here */
    250       /* If the inputs are 0..MAXJSAMPLE, the outputs of these equations
    251        * must be too; we do not need an explicit range-limiting operation.
    252        * Hence the value being shifted is never negative, and we don't
    253        * need the general RIGHT_SHIFT macro.
    254        */
    255       /* Y */
    256       outptr0[col] = (JSAMPLE)
    257                 ((ctab[r+R_Y_OFF] + ctab[g+G_Y_OFF] + ctab[b+B_Y_OFF])
    258                  >> SCALEBITS);
    259       /* Cb */
    260       outptr1[col] = (JSAMPLE)
    261                 ((ctab[r+R_CB_OFF] + ctab[g+G_CB_OFF] + ctab[b+B_CB_OFF])
    262                  >> SCALEBITS);
    263       /* Cr */
    264       outptr2[col] = (JSAMPLE)
    265                 ((ctab[r+R_CR_OFF] + ctab[g+G_CR_OFF] + ctab[b+B_CR_OFF])
    266                  >> SCALEBITS);
    267       inptr += 4;
    268     }
    269   }
    270 }
    271 
    272 
    273 /*
    274  * Convert some rows of samples to the JPEG colorspace.
    275  * [R,G,B] to [R-G,G,B-G] conversion with modulo calculation
    276  * (forward reversible color transform).
    277  */
    278 
    279 METHODDEF(void)
    280 rgb_rgb1_convert (j_compress_ptr cinfo,
    281                   JSAMPARRAY input_buf, JSAMPIMAGE output_buf,
    282                   JDIMENSION output_row, int num_rows)
    283 {
    284   register int r, g, b;
    285   register JSAMPROW inptr;
    286   register JSAMPROW outptr0, outptr1, outptr2;
    287   register JDIMENSION col;
    288   JDIMENSION num_cols = cinfo->image_width;
    289 
    290   while (--num_rows >= 0) {
    291     inptr = *input_buf++;
    292     outptr0 = output_buf[0][output_row];
    293     outptr1 = output_buf[1][output_row];
    294     outptr2 = output_buf[2][output_row];
    295     output_row++;
    296     for (col = 0; col < num_cols; col++) {
    297       r = GETJSAMPLE(inptr[RGB_RED]);
    298       g = GETJSAMPLE(inptr[RGB_GREEN]);
    299       b = GETJSAMPLE(inptr[RGB_BLUE]);
    300       /* Assume that MAXJSAMPLE+1 is a power of 2, so that the MOD
    301        * (modulo) operator is equivalent to the bitmask operator AND.
    302        */
    303       outptr0[col] = (JSAMPLE) ((r - g + CENTERJSAMPLE) & MAXJSAMPLE);
    304       outptr1[col] = (JSAMPLE) g;
    305       outptr2[col] = (JSAMPLE) ((b - g + CENTERJSAMPLE) & MAXJSAMPLE);
    306       inptr += RGB_PIXELSIZE;
    307     }
    308   }
    309 }
    310 
    311 
    312 /*
    313  * Convert some rows of samples to the JPEG colorspace.
    314  * This version handles grayscale output with no conversion.
    315  * The source can be either plain grayscale or YCbCr (since Y == gray).
    316  */
    317 
    318 METHODDEF(void)
    319 grayscale_convert (j_compress_ptr cinfo,
    320                    JSAMPARRAY input_buf, JSAMPIMAGE output_buf,
    321                    JDIMENSION output_row, int num_rows)
    322 {
    323   int instride = cinfo->input_components;
    324   register JSAMPROW inptr;
    325   register JSAMPROW outptr;
    326   register JDIMENSION col;
    327   JDIMENSION num_cols = cinfo->image_width;
    328 
    329   while (--num_rows >= 0) {
    330     inptr = *input_buf++;
    331     outptr = output_buf[0][output_row++];
    332     for (col = 0; col < num_cols; col++) {
    333       outptr[col] = inptr[0];	/* don't need GETJSAMPLE() here */
    334       inptr += instride;
    335     }
    336   }
    337 }
    338 
    339 
    340 /*
    341  * Convert some rows of samples to the JPEG colorspace.
    342  * No colorspace conversion, but change from interleaved
    343  * to separate-planes representation.
    344  */
    345 
    346 METHODDEF(void)
    347 rgb_convert (j_compress_ptr cinfo,
    348              JSAMPARRAY input_buf, JSAMPIMAGE output_buf,
    349              JDIMENSION output_row, int num_rows)
    350 {
    351   register JSAMPROW inptr;
    352   register JSAMPROW outptr0, outptr1, outptr2;
    353   register JDIMENSION col;
    354   JDIMENSION num_cols = cinfo->image_width;
    355 
    356   while (--num_rows >= 0) {
    357     inptr = *input_buf++;
    358     outptr0 = output_buf[0][output_row];
    359     outptr1 = output_buf[1][output_row];
    360     outptr2 = output_buf[2][output_row];
    361     output_row++;
    362     for (col = 0; col < num_cols; col++) {
    363       /* We can dispense with GETJSAMPLE() here */
    364       outptr0[col] = inptr[RGB_RED];
    365       outptr1[col] = inptr[RGB_GREEN];
    366       outptr2[col] = inptr[RGB_BLUE];
    367       inptr += RGB_PIXELSIZE;
    368     }
    369   }
    370 }
    371 
    372 
    373 /*
    374  * Convert some rows of samples to the JPEG colorspace.
    375  * This version handles multi-component colorspaces without conversion.
    376  * We assume input_components == num_components.
    377  */
    378 
    379 METHODDEF(void)
    380 null_convert (j_compress_ptr cinfo,
    381               JSAMPARRAY input_buf, JSAMPIMAGE output_buf,
    382               JDIMENSION output_row, int num_rows)
    383 {
    384   int ci;
    385   register int nc = cinfo->num_components;
    386   register JSAMPROW inptr;
    387   register JSAMPROW outptr;
    388   register JDIMENSION col;
    389   JDIMENSION num_cols = cinfo->image_width;
    390 
    391   while (--num_rows >= 0) {
    392     /* It seems fastest to make a separate pass for each component. */
    393     for (ci = 0; ci < nc; ci++) {
    394       inptr = input_buf[0] + ci;
    395       outptr = output_buf[ci][output_row];
    396       for (col = 0; col < num_cols; col++) {
    397         *outptr++ = *inptr;	/* don't need GETJSAMPLE() here */
    398         inptr += nc;
    399       }
    400     }
    401     input_buf++;
    402     output_row++;
    403   }
    404 }
    405 
    406 
    407 /*
    408  * Empty method for start_pass.
    409  */
    410 
    411 METHODDEF(void)
    412 null_method (j_compress_ptr cinfo)
    413 {
    414   /* no work needed */
    415 }
    416 
    417 
    418 /*
    419  * Module initialization routine for input colorspace conversion.
    420  */
    421 
    422 GLOBAL(void)
    423 jinit_color_converter (j_compress_ptr cinfo)
    424 {
    425   my_cconvert_ptr cconvert;
    426 
    427   cconvert = (my_cconvert_ptr)
    428     (*cinfo->mem->alloc_small) ((j_common_ptr) cinfo, JPOOL_IMAGE,
    429                                 SIZEOF(my_color_converter));
    430   cinfo->cconvert = &cconvert->pub;
    431   /* set start_pass to null method until we find out differently */
    432   cconvert->pub.start_pass = null_method;
    433 
    434   /* Make sure input_components agrees with in_color_space */
    435   switch (cinfo->in_color_space) {
    436   case JCS_GRAYSCALE:
    437     if (cinfo->input_components != 1)
    438       ERREXIT(cinfo, JERR_BAD_IN_COLORSPACE);
    439     break;
    440 
    441   case JCS_RGB:
    442     if (cinfo->input_components != RGB_PIXELSIZE)
    443       ERREXIT(cinfo, JERR_BAD_IN_COLORSPACE);
    444     break;
    445 
    446   case JCS_YCbCr:
    447     if (cinfo->input_components != 3)
    448       ERREXIT(cinfo, JERR_BAD_IN_COLORSPACE);
    449     break;
    450 
    451   case JCS_CMYK:
    452   case JCS_YCCK:
    453     if (cinfo->input_components != 4)
    454       ERREXIT(cinfo, JERR_BAD_IN_COLORSPACE);
    455     break;
    456 
    457   default:			/* JCS_UNKNOWN can be anything */
    458     if (cinfo->input_components < 1)
    459       ERREXIT(cinfo, JERR_BAD_IN_COLORSPACE);
    460     break;
    461   }
    462 
    463   /* Support color transform only for RGB colorspace */
    464   if (cinfo->color_transform && cinfo->jpeg_color_space != JCS_RGB)
    465     ERREXIT(cinfo, JERR_CONVERSION_NOTIMPL);
    466 
    467   /* Check num_components, set conversion method based on requested space */
    468   switch (cinfo->jpeg_color_space) {
    469   case JCS_GRAYSCALE:
    470     if (cinfo->num_components != 1)
    471       ERREXIT(cinfo, JERR_BAD_J_COLORSPACE);
    472     if (cinfo->in_color_space == JCS_GRAYSCALE ||
    473         cinfo->in_color_space == JCS_YCbCr)
    474       cconvert->pub.color_convert = grayscale_convert;
    475     else if (cinfo->in_color_space == JCS_RGB) {
    476       cconvert->pub.start_pass = rgb_ycc_start;
    477       cconvert->pub.color_convert = rgb_gray_convert;
    478     } else
    479       ERREXIT(cinfo, JERR_CONVERSION_NOTIMPL);
    480     break;
    481 
    482   case JCS_RGB:
    483     if (cinfo->num_components != 3)
    484       ERREXIT(cinfo, JERR_BAD_J_COLORSPACE);
    485     if (cinfo->in_color_space == JCS_RGB) {
    486       switch (cinfo->color_transform) {
    487       case JCT_NONE:
    488         cconvert->pub.color_convert = rgb_convert;
    489         break;
    490       case JCT_SUBTRACT_GREEN:
    491         cconvert->pub.color_convert = rgb_rgb1_convert;
    492         break;
    493       default:
    494         ERREXIT(cinfo, JERR_CONVERSION_NOTIMPL);
    495         break;
    496       }
    497     } else
    498       ERREXIT(cinfo, JERR_CONVERSION_NOTIMPL);
    499     break;
    500 
    501   case JCS_YCbCr:
    502     if (cinfo->num_components != 3)
    503       ERREXIT(cinfo, JERR_BAD_J_COLORSPACE);
    504     if (cinfo->in_color_space == JCS_RGB) {
    505       cconvert->pub.start_pass = rgb_ycc_start;
    506       cconvert->pub.color_convert = rgb_ycc_convert;
    507     } else if (cinfo->in_color_space == JCS_YCbCr)
    508       cconvert->pub.color_convert = null_convert;
    509     else
    510       ERREXIT(cinfo, JERR_CONVERSION_NOTIMPL);
    511     break;
    512 
    513   case JCS_CMYK:
    514     if (cinfo->num_components != 4)
    515       ERREXIT(cinfo, JERR_BAD_J_COLORSPACE);
    516     if (cinfo->in_color_space == JCS_CMYK)
    517       cconvert->pub.color_convert = null_convert;
    518     else
    519       ERREXIT(cinfo, JERR_CONVERSION_NOTIMPL);
    520     break;
    521 
    522   case JCS_YCCK:
    523     if (cinfo->num_components != 4)
    524       ERREXIT(cinfo, JERR_BAD_J_COLORSPACE);
    525     if (cinfo->in_color_space == JCS_CMYK) {
    526       cconvert->pub.start_pass = rgb_ycc_start;
    527       cconvert->pub.color_convert = cmyk_ycck_convert;
    528     } else if (cinfo->in_color_space == JCS_YCCK)
    529       cconvert->pub.color_convert = null_convert;
    530     else
    531       ERREXIT(cinfo, JERR_CONVERSION_NOTIMPL);
    532     break;
    533 
    534   default:			/* allow null conversion of JCS_UNKNOWN */
    535     if (cinfo->jpeg_color_space != cinfo->in_color_space ||
    536         cinfo->num_components != cinfo->input_components)
    537       ERREXIT(cinfo, JERR_CONVERSION_NOTIMPL);
    538     cconvert->pub.color_convert = null_convert;
    539     break;
    540   }
    541 }
    542