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[imager.git] / imdatatypes.h
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1#ifndef _DATATYPES_H_
2#define _DATATYPES_H_
3
50c75381 4#include <stddef.h>
92bda632 5#include "imconfig.h"
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6
7#define MAXCHANNELS 4
8
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9typedef struct im_context_tag *im_context_t;
10
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11/* used for palette indices in some internal code (which might be
12 exposed at some point
13*/
14typedef unsigned char i_palidx;
15
16/* We handle 2 types of sample, this is hopefully the most common, and the
17 smaller of the ones we support */
18typedef unsigned char i_sample_t;
19
20typedef struct { i_sample_t gray_color; } gray_color;
21typedef struct { i_sample_t r,g,b; } rgb_color;
22typedef struct { i_sample_t r,g,b,a; } rgba_color;
23typedef struct { i_sample_t c,m,y,k; } cmyk_color;
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24
25typedef int undef_int; /* special value to put in typemaps to retun undef on 0 and 1 on 1 */
26
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27/*
28=item i_img_dim
29=category Data Types
30=synopsis i_img_dim x, y;
31=order 90
32
33A signed integer type that represents an image dimension or ordinate.
34
35May be larger than int on some platforms.
36
37=cut
38*/
39
40typedef ptrdiff_t i_img_dim;
41
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42/*
43=item i_color
44=category Data Types
45=synopsis i_color black;
46=synopsis black.rgba.r = black.rgba.g = black.rgba.b = black.rgba.a = 0;
47
48Type for 8-bit/sample color.
49
50Samples as per;
51
52 i_color c;
53
54i_color is a union of:
55
56=over
57
58=item *
59
5715f7c3 60gray - contains a single element gray_color, eg. C<c.gray.gray_color>
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61
62=item *
63
5715f7c3 64C<rgb> - contains three elements C<r>, C<g>, C<b>, eg. C<c.rgb.r>
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65
66=item *
67
5715f7c3 68C<rgba> - contains four elements C<r>, C<g>, C<b>, C<a>, eg. C<c.rgba.a>
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69
70=item *
71
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72C<cmyk> - contains four elements C<c>, C<m>, C<y>, C<k>,
73eg. C<c.cmyk.y>. Note that Imager never uses CMYK colors except when
74reading/writing files.
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75
76=item *
77
78channels - an array of four channels, eg C<c.channels[2]>.
79
80=back
81
82=cut
83*/
84
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85typedef union {
86 gray_color gray;
87 rgb_color rgb;
88 rgba_color rgba;
89 cmyk_color cmyk;
faa9b3e7 90 i_sample_t channel[MAXCHANNELS];
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91 unsigned int ui;
92} i_color;
93
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94/* this is the larger sample type, it should be able to accurately represent
95 any sample size we use */
96typedef double i_fsample_t;
02d1d628 97
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98typedef struct { i_fsample_t gray_color; } i_fgray_color_t;
99typedef struct { i_fsample_t r, g, b; } i_frgb_color_t;
100typedef struct { i_fsample_t r, g, b, a; } i_frgba_color_t;
101typedef struct { i_fsample_t c, m, y, k; } i_fcmyk_color_t;
102
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103/*
104=item i_fcolor
105=category Data Types
106
107This is the double/sample color type.
108
109Its layout exactly corresponds to i_color.
110
111=cut
112*/
113
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114typedef union {
115 i_fgray_color_t gray;
116 i_frgb_color_t rgb;
117 i_frgba_color_t rgba;
118 i_fcmyk_color_t cmyk;
119 i_fsample_t channel[MAXCHANNELS];
120} i_fcolor;
121
122typedef enum {
123 i_direct_type, /* direct colour, keeps RGB values per pixel */
26fd367b 124 i_palette_type /* keeps a palette index per pixel */
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125} i_img_type_t;
126
127typedef enum {
128 /* bits per sample, not per pixel */
129 /* a paletted image might have one bit per sample */
130 i_8_bits = 8,
131 i_16_bits = 16,
26fd367b 132 i_double_bits = sizeof(double) * 8
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133} i_img_bits_t;
134
135typedef struct {
136 char *name; /* name of a given tag, might be NULL */
137 int code; /* number of a given tag, -1 if it has no meaning */
138 char *data; /* value of a given tag if it's not an int, may be NULL */
139 int size; /* size of the data */
140 int idata; /* value of a given tag if data is NULL */
141} i_img_tag;
142
143typedef struct {
144 int count; /* how many tags have been set */
145 int alloc; /* how many tags have been allocated for */
146 i_img_tag *tags;
147} i_img_tags;
148
149typedef struct i_img_ i_img;
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150typedef int (*i_f_ppix_t)(i_img *im, i_img_dim x, i_img_dim y, const i_color *pix);
151typedef int (*i_f_ppixf_t)(i_img *im, i_img_dim x, i_img_dim y, const i_fcolor *pix);
152typedef i_img_dim (*i_f_plin_t)(i_img *im, i_img_dim x, i_img_dim r, i_img_dim y, const i_color *vals);
153typedef i_img_dim (*i_f_plinf_t)(i_img *im, i_img_dim x, i_img_dim r, i_img_dim y, const i_fcolor *vals);
154typedef int (*i_f_gpix_t)(i_img *im, i_img_dim x, i_img_dim y, i_color *pix);
155typedef int (*i_f_gpixf_t)(i_img *im, i_img_dim x, i_img_dim y, i_fcolor *pix);
156typedef i_img_dim (*i_f_glin_t)(i_img *im, i_img_dim x, i_img_dim r, i_img_dim y, i_color *vals);
157typedef i_img_dim (*i_f_glinf_t)(i_img *im, i_img_dim x, i_img_dim r, i_img_dim y, i_fcolor *vals);
158
159typedef i_img_dim (*i_f_gsamp_t)(i_img *im, i_img_dim x, i_img_dim r, i_img_dim y, i_sample_t *samp,
18accb2a 160 const int *chans, int chan_count);
8d14daab 161typedef i_img_dim (*i_f_gsampf_t)(i_img *im, i_img_dim x, i_img_dim r, i_img_dim y, i_fsample_t *samp,
18accb2a 162 const int *chan, int chan_count);
faa9b3e7 163
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164typedef i_img_dim (*i_f_gpal_t)(i_img *im, i_img_dim x, i_img_dim r, i_img_dim y, i_palidx *vals);
165typedef i_img_dim (*i_f_ppal_t)(i_img *im, i_img_dim x, i_img_dim r, i_img_dim y, const i_palidx *vals);
97ac0a96 166typedef int (*i_f_addcolors_t)(i_img *im, const i_color *colors, int count);
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167typedef int (*i_f_getcolors_t)(i_img *im, int i, i_color *, int count);
168typedef int (*i_f_colorcount_t)(i_img *im);
169typedef int (*i_f_maxcolors_t)(i_img *im);
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170typedef int (*i_f_findcolor_t)(i_img *im, const i_color *color, i_palidx *entry);
171typedef int (*i_f_setcolors_t)(i_img *im, int index, const i_color *colors,
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172 int count);
173
174typedef void (*i_f_destroy_t)(i_img *im);
175
8d14daab 176typedef i_img_dim (*i_f_gsamp_bits_t)(i_img *im, i_img_dim x, i_img_dim r, i_img_dim y, unsigned *samp,
bd8052a6 177 const int *chans, int chan_count, int bits);
8d14daab 178typedef i_img_dim (*i_f_psamp_bits_t)(i_img *im, i_img_dim x, i_img_dim r, i_img_dim y, unsigned const *samp,
bd8052a6 179 const int *chans, int chan_count, int bits);
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180typedef i_img_dim
181(*i_f_psamp_t)(i_img *im, i_img_dim x, i_img_dim r, i_img_dim y,
182 const i_sample_t *samp, const int *chan, int chan_count);
183typedef i_img_dim
184(*i_f_psampf_t)(i_img *im, i_img_dim x, i_img_dim r, i_img_dim y,
185 const i_fsample_t *samp, const int *chan, int chan_count);
bd8052a6 186
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187/*
188=item i_img
189=category Data Types
190=synopsis i_img *img;
6cfee9d1 191=order 10
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192
193This is Imager's image type.
194
195It contains the following members:
196
197=over
198
199=item *
200
5715f7c3 201C<channels> - the number of channels in the image
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202
203=item *
204
5715f7c3 205C<xsize>, C<ysize> - the width and height of the image in pixels
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206
207=item *
208
5715f7c3 209C<bytes> - the number of bytes used to store the image data. Undefined
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210where virtual is non-zero.
211
212=item *
213
5715f7c3 214C<ch_mask> - a mask of writable channels. eg. if this is 6 then only
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215channels 1 and 2 are writable. There may be bits set for which there
216are no channels in the image.
217
218=item *
219
5715f7c3 220C<bits> - the number of bits stored per sample. Should be one of
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221i_8_bits, i_16_bits, i_double_bits.
222
223=item *
224
5715f7c3 225C<type> - either i_direct_type for direct color images, or i_palette_type
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226for paletted images.
227
228=item *
229
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230C<virtual> - if zero then this image is-self contained. If non-zero
231then this image could be an interface to some other implementation.
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232
233=item *
234
5715f7c3 235C<idata> - the image data. This should not be directly accessed. A new
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236image implementation can use this to store its image data.
237i_img_destroy() will myfree() this pointer if it's non-null.
238
239=item *
240
5715f7c3 241C<tags> - a structure storing the image's tags. This should only be
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242accessed via the i_tags_*() functions.
243
244=item *
245
5715f7c3 246C<ext_data> - a pointer for use internal to an image implementation.
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247This should be freed by the image's destroy handler.
248
249=item *
250
5715f7c3 251C<im_data> - data internal to Imager. This is initialized by
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252i_img_init().
253
254=item *
255
256i_f_ppix, i_f_ppixf, i_f_plin, i_f_plinf, i_f_gpix, i_f_gpixf,
257i_f_glin, i_f_glinf, i_f_gsamp, i_f_gampf - implementations for each
258of the required image functions. An image implementation should
259initialize these between calling i_img_alloc() and i_img_init().
260
261=item *
262
263i_f_gpal, i_f_ppal, i_f_addcolors, i_f_getcolors, i_f_colorcount,
264i_f_maxcolors, i_f_findcolor, i_f_setcolors - implementations for each
265paletted image function.
266
267=item *
268
269i_f_destroy - custom image destruction function. This should be used
270to release memory if necessary.
271
272=item *
273
274i_f_gsamp_bits - implements i_gsamp_bits() for this image.
275
276=item *
277
278i_f_psamp_bits - implements i_psamp_bits() for this image.
279
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280=item *
281
282i_f_psamp - implements psamp() for this image.
283
284=item *
285
286i_f_psampf - implements psamp() for this image.
287
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288=back
289
290=cut
291*/
292
faa9b3e7 293struct i_img_ {
02d1d628 294 int channels;
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295 i_img_dim xsize,ysize;
296 size_t bytes;
02d1d628 297 unsigned int ch_mask;
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298 i_img_bits_t bits;
299 i_img_type_t type;
300 int virtual; /* image might not keep any data, must use functions */
301 unsigned char *idata; /* renamed to force inspection of existing code */
302 /* can be NULL if virtual is non-zero */
303 i_img_tags tags;
02d1d628 304
02d1d628 305 void *ext_data;
02d1d628 306
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307 /* interface functions */
308 i_f_ppix_t i_f_ppix;
309 i_f_ppixf_t i_f_ppixf;
310 i_f_plin_t i_f_plin;
311 i_f_plinf_t i_f_plinf;
312 i_f_gpix_t i_f_gpix;
313 i_f_gpixf_t i_f_gpixf;
314 i_f_glin_t i_f_glin;
315 i_f_glinf_t i_f_glinf;
316 i_f_gsamp_t i_f_gsamp;
317 i_f_gsampf_t i_f_gsampf;
318
319 /* only valid for type == i_palette_type */
320 i_f_gpal_t i_f_gpal;
321 i_f_ppal_t i_f_ppal;
322 i_f_addcolors_t i_f_addcolors;
323 i_f_getcolors_t i_f_getcolors;
324 i_f_colorcount_t i_f_colorcount;
325 i_f_maxcolors_t i_f_maxcolors;
326 i_f_findcolor_t i_f_findcolor;
327 i_f_setcolors_t i_f_setcolors;
328
329 i_f_destroy_t i_f_destroy;
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330
331 /* as of 0.61 */
332 i_f_gsamp_bits_t i_f_gsamp_bits;
333 i_f_psamp_bits_t i_f_psamp_bits;
334
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335 /* as of 0.88 */
336 i_f_psamp_t i_f_psamp;
337 i_f_psampf_t i_f_psampf;
338
bd8052a6 339 void *im_data;
faa9b3e7 340};
02d1d628 341
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342/* ext_data for paletted images
343 */
344typedef struct {
345 int count; /* amount of space used in palette (in entries) */
346 int alloc; /* amount of space allocated for palette (in entries) */
347 i_color *pal;
348 int last_found;
349} i_img_pal_ext;
02d1d628 350
faa9b3e7 351/* Helper datatypes
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352 The types in here so far are:
353
354 doubly linked bucket list - pretty efficient
355 octtree - no idea about goodness
356
357 needed: hashes.
358
359*/
360
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361/* bitmap mask */
362
363struct i_bitmap {
8d14daab 364 i_img_dim xsize,ysize;
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365 char *data;
366};
367
8d14daab 368struct i_bitmap* btm_new(i_img_dim xsize,i_img_dim ysize);
02d1d628 369void btm_destroy(struct i_bitmap *btm);
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370int btm_test(struct i_bitmap *btm,i_img_dim x,i_img_dim y);
371void btm_set(struct i_bitmap *btm,i_img_dim x,i_img_dim y);
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372
373
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374/* Stack/Linked list */
375
376struct llink {
377 struct llink *p,*n;
378 void *data;
379 int fill; /* Number used in this link */
380};
381
382struct llist {
383 struct llink *h,*t;
384 int multip; /* # of copies in a single chain */
8d14daab 385 size_t ssize; /* size of each small element */
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386 int count; /* number of elements on the list */
387};
388
389
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390/* Lists */
391
8d14daab 392struct llist *llist_new( int multip, size_t ssize );
02d1d628 393void llist_destroy( struct llist *l );
8d14daab 394void llist_push( struct llist *l, const void *data );
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395void llist_dump( struct llist *l );
396int llist_pop( struct llist *l,void *data );
397
398
399
400
401/* Octtree */
402
403struct octt {
404 struct octt *t[8];
405 int cnt;
406};
407
faa9b3e7 408struct octt *octt_new(void);
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409int octt_add(struct octt *ct,unsigned char r,unsigned char g,unsigned char b);
410void octt_dump(struct octt *ct);
411void octt_count(struct octt *ct,int *tot,int max,int *overflow);
412void octt_delete(struct octt *ct);
a60905e4 413void octt_histo(struct octt *ct, unsigned int **col_usage_it_adr);
02d1d628 414
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415/* font bounding box results */
416enum bounding_box_index_t {
417 BBOX_NEG_WIDTH,
418 BBOX_GLOBAL_DESCENT,
419 BBOX_POS_WIDTH,
420 BBOX_GLOBAL_ASCENT,
421 BBOX_DESCENT,
422 BBOX_ASCENT,
423 BBOX_ADVANCE_WIDTH,
dc35bde9 424 BBOX_RIGHT_BEARING,
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425 BOUNDING_BOX_COUNT
426};
427
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428/* Generic fills */
429struct i_fill_tag;
430
431typedef void (*i_fill_with_color_f)
50c75381 432(struct i_fill_tag *fill, i_img_dim x, i_img_dim y, i_img_dim width, int channels,
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433 i_color *data);
434typedef void (*i_fill_with_fcolor_f)
50c75381 435 (struct i_fill_tag *fill, i_img_dim x, i_img_dim y, i_img_dim width, int channels,
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436 i_fcolor *data);
437typedef void (*i_fill_destroy_f)(struct i_fill_tag *fill);
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438
439/* combine functions modify their target and are permitted to modify
440 the source to prevent having to perform extra copying/memory
441 allocations, etc
442 The out array has I<channels> channels.
443
444 The in array has I<channels> channels + an alpha channel if one
445 isn't included in I<channels>.
446*/
447
92bda632 448typedef void (*i_fill_combine_f)(i_color *out, i_color *in, int channels,
50c75381 449 i_img_dim count);
92bda632 450typedef void (*i_fill_combinef_f)(i_fcolor *out, i_fcolor *in, int channels,
50c75381 451 i_img_dim count);
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452
453/* fountain fill types */
454typedef enum {
455 i_fst_linear,
456 i_fst_curved,
457 i_fst_sine,
458 i_fst_sphere_up,
459 i_fst_sphere_down,
460 i_fst_end
461} i_fountain_seg_type;
462typedef enum {
463 i_fc_direct,
464 i_fc_hue_up,
465 i_fc_hue_down,
466 i_fc_end
467} i_fountain_color;
468typedef struct {
469 double start, middle, end;
470 i_fcolor c[2];
471 i_fountain_seg_type type;
472 i_fountain_color color;
473} i_fountain_seg;
474typedef enum {
475 i_fr_none,
476 i_fr_sawtooth,
477 i_fr_triangle,
478 i_fr_saw_both,
479 i_fr_tri_both
480} i_fountain_repeat;
481typedef enum {
482 i_ft_linear,
483 i_ft_bilinear,
484 i_ft_radial,
485 i_ft_radial_square,
486 i_ft_revolution,
487 i_ft_conical,
488 i_ft_end
489} i_fountain_type;
490typedef enum {
491 i_fts_none,
492 i_fts_grid,
493 i_fts_random,
494 i_fts_circle
495} i_ft_supersample;
496
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497/*
498=item i_fill_t
499=category Data Types
500=synopsis i_fill_t *fill;
501
502This is the "abstract" base type for Imager's fill types.
503
504Unless you're implementing a new fill type you'll typically treat this
505as an opaque type.
506
507=cut
508*/
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509
510typedef struct i_fill_tag
511{
512 /* called for 8-bit/sample image (and maybe lower) */
513 /* this may be NULL, if so call fill_with_fcolor */
9b1ec2b8 514 i_fill_with_color_f f_fill_with_color;
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515
516 /* called for other sample sizes */
517 /* this must be non-NULL */
9b1ec2b8 518 i_fill_with_fcolor_f f_fill_with_fcolor;
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519
520 /* called if non-NULL to release any extra resources */
521 i_fill_destroy_f destroy;
522
523 /* if non-zero the caller will fill data with the original data
524 from the image */
525 i_fill_combine_f combine;
526 i_fill_combinef_f combinef;
527} i_fill_t;
528
529typedef enum {
530 ic_none,
531 ic_normal,
532 ic_multiply,
533 ic_dissolve,
534 ic_add,
535 ic_subtract,
536 ic_diff,
537 ic_lighten,
538 ic_darken,
539 ic_hue,
540 ic_sat,
541 ic_value,
542 ic_color
543} i_combine_t;
544
545/*
546 describes an axis of a MM font.
547 Modelled on FT2's FT_MM_Axis.
548 It would be nice to have a default entry too, but FT2
549 doesn't support it.
550*/
551typedef struct i_font_mm_axis_tag {
552 char const *name;
553 int minimum;
554 int maximum;
555} i_font_mm_axis;
556
557#define IM_FONT_MM_MAX_AXES 4
558
559/*
560 multiple master information for a font, if any
561 modelled on FT2's FT_Multi_Master.
562*/
563typedef struct i_font_mm_tag {
564 int num_axis;
565 int num_designs; /* provided but not necessarily useful */
566 i_font_mm_axis axis[IM_FONT_MM_MAX_AXES];
567} i_font_mm;
568
569#ifdef HAVE_LIBTT
570
571struct TT_Fonthandle_;
572
573typedef struct TT_Fonthandle_ TT_Fonthandle;
574
575#endif
576
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577/* transparency handling for quantized output */
578typedef enum i_transp_tag {
579 tr_none, /* ignore any alpha channel */
580 tr_threshold, /* threshold the transparency - uses tr_threshold */
581 tr_errdiff, /* error diffusion */
582 tr_ordered /* an ordered dither */
583} i_transp;
584
585/* controls how we build the colour map */
586typedef enum i_make_colors_tag {
587 mc_none, /* user supplied colour map only */
588 mc_web_map, /* Use the 216 colour web colour map */
589 mc_addi, /* Addi's algorithm */
590 mc_median_cut, /* median cut - similar to giflib, hopefully */
9c106321 591 mc_mono, /* fixed mono color map */
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592 mc_gray, /* 256 gray map */
593 mc_gray4, /* four step gray map */
594 mc_gray16, /* sixteen step gray map */
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595 mc_mask = 0xFF /* (mask for generator) */
596} i_make_colors;
597
598/* controls how we translate the colours */
599typedef enum i_translate_tag {
600 pt_giflib, /* get gif lib to do it (ignores make_colours) */
601 pt_closest, /* just use the closest match within the hashbox */
602 pt_perturb, /* randomly perturb the data - uses perturb_size*/
603 pt_errdiff /* error diffusion dither - uses errdiff */
604} i_translate;
605
606/* Which error diffusion map to use */
607typedef enum i_errdiff_tag {
608 ed_floyd, /* floyd-steinberg */
609 ed_jarvis, /* Jarvis, Judice and Ninke */
610 ed_stucki, /* Stucki */
611 ed_custom, /* the map found in ed_map|width|height|orig */
612 ed_mask = 0xFF, /* mask to get the map */
613 ed_bidir = 0x100 /* change direction for each row */
614} i_errdiff;
615
616/* which ordered dither map to use
617 currently only available for transparency
618 I don't know of a way to do ordered dither of an image against some
619 general palette
620 */
621typedef enum i_ord_dith_tag
622{
623 od_random, /* sort of random */
624 od_dot8, /* large dot */
625 od_dot4,
626 od_hline,
627 od_vline,
628 od_slashline, /* / line dither */
629 od_backline, /* \ line dither */
630 od_tiny, /* small checkerbox */
631 od_custom /* custom 8x8 map */
632} i_ord_dith;
633
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634/* passed into i_writegif_gen() to control quantization */
635typedef struct i_quantize_tag {
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636 int version;
637
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638 /* how to handle transparency */
639 i_transp transp;
640 /* the threshold at which to make pixels opaque */
641 int tr_threshold;
642 i_errdiff tr_errdiff;
643 i_ord_dith tr_orddith;
644 unsigned char tr_custom[64];
645
646 /* how to make the colour map */
647 i_make_colors make_colors;
648
649 /* any existing colours
650 mc_existing is an existing colour table
651 mc_count is the number of existing colours
652 mc_size is the total size of the array that mc_existing points
653 at - this must be at least 256
654 */
655 i_color *mc_colors;
656 int mc_size;
657 int mc_count;
658
659 /* how we translate the colours */
660 i_translate translate;
661
662 /* the error diffusion map to use if translate is mc_errdiff */
663 i_errdiff errdiff;
664 /* the following define the error diffusion values to use if
665 errdiff is ed_custom. ed_orig is the column on the top row that
666 represents the current
667 */
668 int *ed_map;
669 int ed_width, ed_height, ed_orig;
670
671 /* the amount of perturbation to use for translate is mc_perturb */
672 int perturb;
ec6d8908 673 /* version 2 members after here */
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674} i_quantize;
675
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676/* distance measures used by some filters */
677enum {
678 i_dmeasure_euclidean = 0,
679 i_dmeasure_euclidean_squared = 1,
680 i_dmeasure_manhatten = 2,
681 i_dmeasure_limit = 2,
682};
92bda632 683
0778adbf 684#include "iolayert.h"
92bda632 685
50c75381 686typedef struct i_render_tag i_render;
9c106321 687
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688#ifdef IMAGER_FORMAT_ATTR
689#define I_FORMAT_ATTR(format_index, va_index) \
690 __attribute ((format (printf, format_index, va_index)))
691#else
692#define I_FORMAT_ATTR(format_index, va_index)
693#endif
694
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695#ifdef _MSC_VER
696# ifndef vsnprintf
697# define vsnprintf _vsnprintf
698# endif
699# ifndef snprintf
700# define snprintf _snprintf
701# endif
702#endif
703
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704/*
705=item i_DF
706=category Data Types
707=synopsis printf("left %" i_DF "\n", i_DFc(x));
708=order 95
709
710This is a constant string that can be used with functions like
711printf() to format i_img_dim values after they're been cast with i_DFc().
712
713Does not include the leading C<%>.
714
715=cut
716
717=item i_DFc
718=category Data Types
719=order 95
720
721Cast an C<i_img_dim> value to a type for use with the i_DF format
722string.
723
724=cut
725
726=item i_DFp
727=category Data Types
728=synopsis printf("point (" i_DFp ")\n", i_DFcp(x, y));
729=order 95
730
731Format a pair of C<i_img_dim> values. This format string I<does>
732include the leading C<%>.
733
734=cut
735
736=item i_DFcp
737=category Data Types
738=order 95
739
740Casts two C<i_img_dim> values for use with the i_DF (or i_DFp) format.
741
742=cut
743 */
744
745#define i_DFc(x) ((i_dim_format_t)(x))
746#define i_DFcp(x, y) i_DFc(x), i_DFc(y)
747#define i_DFp "%" i_DF ", %" i_DF
748
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749#endif
750