1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
|
//========================================================================
//
// SplashScreen.cc
//
// Copyright 2003-2013 Glyph & Cog, LLC
//
//========================================================================
#include <aconf.h>
#ifdef USE_GCC_PRAGMAS
#pragma implementation
#endif
#include <stdlib.h>
#include <string.h>
#if HAVE_STD_SORT
#include <algorithm>
#endif
#include "gmem.h"
#include "SplashMath.h"
#include "SplashScreen.h"
//------------------------------------------------------------------------
static SplashScreenParams defaultParams = {
splashScreenDispersed, // type
2, // size
2, // dotRadius
1.0, // gamma
0.0, // blackThreshold
1.0 // whiteThreshold
};
//------------------------------------------------------------------------
struct SplashScreenPoint {
int x, y;
int dist;
};
#if HAVE_STD_SORT
struct cmpDistancesFunctor {
bool operator()(const SplashScreenPoint &p0, const SplashScreenPoint &p1) {
return p0.dist < p1.dist;
}
};
#else // HAVE_STD_SORT
static int cmpDistances(const void *p0, const void *p1) {
return ((SplashScreenPoint *)p0)->dist - ((SplashScreenPoint *)p1)->dist;
}
#endif
//------------------------------------------------------------------------
// SplashScreen
//------------------------------------------------------------------------
// If <clustered> is true, this generates a 45 degree screen using a
// circular dot spot function. DPI = resolution / ((size / 2) *
// sqrt(2)). If <clustered> is false, this generates an optimal
// threshold matrix using recursive tesselation. Gamma correction
// (gamma = 1 / 1.33) is also computed here.
SplashScreen::SplashScreen(SplashScreenParams *params) {
Guchar u;
int black, white, i;
if (!params) {
params = &defaultParams;
}
// size must be a power of 2, and at least 2
for (size = 2, log2Size = 1; size < params->size; size <<= 1, ++log2Size) ;
switch (params->type) {
case splashScreenDispersed:
mat = (Guchar *)gmallocn(size * size, sizeof(Guchar));
buildDispersedMatrix(size/2, size/2, 1, size/2, 1);
break;
case splashScreenClustered:
mat = (Guchar *)gmallocn(size * size, sizeof(Guchar));
buildClusteredMatrix();
break;
case splashScreenStochasticClustered:
// size must be at least 2*r
while (size < (params->dotRadius << 1)) {
size <<= 1;
++log2Size;
}
mat = (Guchar *)gmallocn(size * size, sizeof(Guchar));
buildSCDMatrix(params->dotRadius);
break;
}
sizeM1 = size - 1;
// do gamma correction and compute minVal/maxVal
minVal = 255;
maxVal = 0;
black = splashRound((SplashCoord)255.0 * params->blackThreshold);
if (black < 1) {
black = 1;
}
white = splashRound((SplashCoord)255.0 * params->whiteThreshold);
if (white > 255) {
white = 255;
}
for (i = 0; i < size * size; ++i) {
u = splashRound((SplashCoord)255.0 *
splashPow((SplashCoord)mat[i] / 255.0, params->gamma));
if (u < black) {
u = (Guchar)black;
} else if (u >= white) {
u = (Guchar)white;
}
mat[i] = u;
if (u < minVal) {
minVal = u;
} else if (u > maxVal) {
maxVal = u;
}
}
}
void SplashScreen::buildDispersedMatrix(int i, int j, int val,
int delta, int offset) {
if (delta == 0) {
// map values in [1, size^2] --> [1, 255]
mat[(i << log2Size) + j] = 1 + (254 * (val - 1)) / (size * size - 1);
} else {
buildDispersedMatrix(i, j,
val, delta / 2, 4*offset);
buildDispersedMatrix((i + delta) % size, (j + delta) % size,
val + offset, delta / 2, 4*offset);
buildDispersedMatrix((i + delta) % size, j,
val + 2*offset, delta / 2, 4*offset);
buildDispersedMatrix((i + 2*delta) % size, (j + delta) % size,
val + 3*offset, delta / 2, 4*offset);
}
}
void SplashScreen::buildClusteredMatrix() {
SplashCoord *dist;
SplashCoord u, v, d;
Guchar val;
int size2, x, y, x1, y1, i;
size2 = size >> 1;
// initialize the threshold matrix
for (y = 0; y < size; ++y) {
for (x = 0; x < size; ++x) {
mat[(y << log2Size) + x] = 0;
}
}
// build the distance matrix
dist = (SplashCoord *)gmallocn(size * size2, sizeof(SplashCoord));
for (y = 0; y < size2; ++y) {
for (x = 0; x < size2; ++x) {
if (x + y < size2 - 1) {
u = (SplashCoord)x + 0.5 - 0;
v = (SplashCoord)y + 0.5 - 0;
} else {
u = (SplashCoord)x + 0.5 - (SplashCoord)size2;
v = (SplashCoord)y + 0.5 - (SplashCoord)size2;
}
dist[y * size2 + x] = u*u + v*v;
}
}
for (y = 0; y < size2; ++y) {
for (x = 0; x < size2; ++x) {
if (x < y) {
u = (SplashCoord)x + 0.5 - 0;
v = (SplashCoord)y + 0.5 - (SplashCoord)size2;
} else {
u = (SplashCoord)x + 0.5 - (SplashCoord)size2;
v = (SplashCoord)y + 0.5 - 0;
}
dist[(size2 + y) * size2 + x] = u*u + v*v;
}
}
// build the threshold matrix
x1 = y1 = 0; // make gcc happy
for (i = 0; i < size * size2; ++i) {
d = -1;
for (y = 0; y < size; ++y) {
for (x = 0; x < size2; ++x) {
if (mat[(y << log2Size) + x] == 0 &&
dist[y * size2 + x] > d) {
x1 = x;
y1 = y;
d = dist[y1 * size2 + x1];
}
}
}
// map values in [0, 2*size*size2-1] --> [1, 255]
val = 1 + (254 * (2*i)) / (2*size*size2 - 1);
mat[(y1 << log2Size) + x1] = val;
val = 1 + (254 * (2*i+1)) / (2*size*size2 - 1);
if (y1 < size2) {
mat[((y1 + size2) << log2Size) + x1 + size2] = val;
} else {
mat[((y1 - size2) << log2Size) + x1 + size2] = val;
}
}
gfree(dist);
}
// Compute the distance between two points on a toroid.
int SplashScreen::distance(int x0, int y0, int x1, int y1) {
int dx0, dx1, dx, dy0, dy1, dy;
dx0 = abs(x0 - x1);
dx1 = size - dx0;
dx = dx0 < dx1 ? dx0 : dx1;
dy0 = abs(y0 - y1);
dy1 = size - dy0;
dy = dy0 < dy1 ? dy0 : dy1;
return dx * dx + dy * dy;
}
// Algorithm taken from:
// Victor Ostromoukhov and Roger D. Hersch, "Stochastic Clustered-Dot
// Dithering" in Color Imaging: Device-Independent Color, Color
// Hardcopy, and Graphic Arts IV, SPIE Vol. 3648, pp. 496-505, 1999.
void SplashScreen::buildSCDMatrix(int r) {
SplashScreenPoint *dots, *pts;
int dotsLen, dotsSize;
char *tmpl;
char *grid;
int *region, *dist;
int x, y, xx, yy, x0, x1, y0, y1, i, j, d, iMin, dMin, n;
//~ this should probably happen somewhere else
srand(123);
// generate the random space-filling curve
pts = (SplashScreenPoint *)gmallocn(size * size, sizeof(SplashScreenPoint));
i = 0;
for (y = 0; y < size; ++y) {
for (x = 0; x < size; ++x) {
pts[i].x = x;
pts[i].y = y;
++i;
}
}
for (i = 0; i < size * size; ++i) {
j = i + (int)((double)(size * size - i) *
(double)rand() / ((double)RAND_MAX + 1.0));
x = pts[i].x;
y = pts[i].y;
pts[i].x = pts[j].x;
pts[i].y = pts[j].y;
pts[j].x = x;
pts[j].y = y;
}
// construct the circle template
tmpl = (char *)gmallocn((r+1)*(r+1), sizeof(char));
for (y = 0; y <= r; ++y) {
for (x = 0; x <= r; ++x) {
tmpl[y*(r+1) + x] = (x * y <= r * r) ? 1 : 0;
}
}
// mark all grid cells as free
grid = (char *)gmallocn(size * size, sizeof(char));
for (y = 0; y < size; ++y) {
for (x = 0; x < size; ++x) {
grid[(y << log2Size) + x] = 0;
}
}
// walk the space-filling curve, adding dots
dotsLen = 0;
dotsSize = 32;
dots = (SplashScreenPoint *)gmallocn(dotsSize, sizeof(SplashScreenPoint));
for (i = 0; i < size * size; ++i) {
x = pts[i].x;
y = pts[i].y;
if (!grid[(y << log2Size) + x]) {
if (dotsLen == dotsSize) {
dotsSize *= 2;
dots = (SplashScreenPoint *)greallocn(dots, dotsSize,
sizeof(SplashScreenPoint));
}
dots[dotsLen++] = pts[i];
for (yy = 0; yy <= r; ++yy) {
y0 = (y + yy) % size;
y1 = (y - yy + size) % size;
for (xx = 0; xx <= r; ++xx) {
if (tmpl[yy*(r+1) + xx]) {
x0 = (x + xx) % size;
x1 = (x - xx + size) % size;
grid[(y0 << log2Size) + x0] = 1;
grid[(y0 << log2Size) + x1] = 1;
grid[(y1 << log2Size) + x0] = 1;
grid[(y1 << log2Size) + x1] = 1;
}
}
}
}
}
gfree(tmpl);
gfree(grid);
// assign each cell to a dot, compute distance to center of dot
region = (int *)gmallocn(size * size, sizeof(int));
dist = (int *)gmallocn(size * size, sizeof(int));
for (y = 0; y < size; ++y) {
for (x = 0; x < size; ++x) {
iMin = 0;
dMin = distance(dots[0].x, dots[0].y, x, y);
for (i = 1; i < dotsLen; ++i) {
d = distance(dots[i].x, dots[i].y, x, y);
if (d < dMin) {
iMin = i;
dMin = d;
}
}
region[(y << log2Size) + x] = iMin;
dist[(y << log2Size) + x] = dMin;
}
}
// compute threshold values
for (i = 0; i < dotsLen; ++i) {
n = 0;
for (y = 0; y < size; ++y) {
for (x = 0; x < size; ++x) {
if (region[(y << log2Size) + x] == i) {
pts[n].x = x;
pts[n].y = y;
pts[n].dist = distance(dots[i].x, dots[i].y, x, y);
++n;
}
}
}
#if HAVE_STD_SORT
std::sort(pts, pts + n, cmpDistancesFunctor());
#else
qsort(pts, n, sizeof(SplashScreenPoint), &cmpDistances);
#endif
for (j = 0; j < n; ++j) {
// map values in [0 .. n-1] --> [255 .. 1]
mat[(pts[j].y << log2Size) + pts[j].x] = 255 - (254 * j) / (n - 1);
}
}
gfree(pts);
gfree(region);
gfree(dist);
gfree(dots);
}
SplashScreen::SplashScreen(SplashScreen *screen) {
size = screen->size;
sizeM1 = screen->sizeM1;
log2Size = screen->log2Size;
mat = (Guchar *)gmallocn(size * size, sizeof(Guchar));
memcpy(mat, screen->mat, size * size * sizeof(Guchar));
minVal = screen->minVal;
maxVal = screen->maxVal;
}
SplashScreen::~SplashScreen() {
gfree(mat);
}
|