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1 //////////////////////////////////////////////////////////////////////////////
2 //
3 // Copyright (c) 2004, Industrial Light & Magic, a division of Lucasfilm
4 // Entertainment Company Ltd.  Portions contributed and copyright held by
5 // others as indicated.  All rights reserved.
6 //
7 // Redistribution and use in source and binary forms, with or without
8 // modification, are permitted provided that the following conditions are
9 // met:
10 //
11 //     * Redistributions of source code must retain the above
12 //       copyright notice, this list of conditions and the following
13 //       disclaimer.
14 //
15 //     * Redistributions in binary form must reproduce the above
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17 //       disclaimer in the documentation and/or other materials provided with
18 //       the distribution.
19 //
20 //     * Neither the name of Industrial Light & Magic nor the names of
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35 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
36 //
37 //////////////////////////////////////////////////////////////////////////////
38 
39 //-----------------------------------------------------------------------------
40 //
41 //	Conversion between RGBA and YCA data.
42 //
43 //-----------------------------------------------------------------------------
44 
45 #include <ImfRgbaYca.h>
46 #include <assert.h>
47 #include <algorithm>
48 
49 using namespace Imath;
50 using namespace std;
51 
52 namespace Imf {
53 namespace RgbaYca {
54 
55 
56 V3f
computeYw(const Chromaticities & cr)57 computeYw (const Chromaticities &cr)
58 {
59     M44f m = RGBtoXYZ (cr, 1);
60     return V3f (m[0][1], m[1][1], m[2][1]) / (m[0][1] + m[1][1] + m[2][1]);
61 }
62 
63 
64 void
RGBAtoYCA(const V3f & yw,int n,bool aIsValid,const Rgba rgbaIn[],Rgba ycaOut[])65 RGBAtoYCA (const V3f &yw,
66        int n,
67        bool aIsValid,
68        const Rgba rgbaIn[/*n*/],
69        Rgba ycaOut[/*n*/])
70 {
71     for (int i = 0; i < n; ++i)
72     {
73     Rgba in = rgbaIn[i];
74     Rgba &out = ycaOut[i];
75 
76     //
77     // Conversion to YCA and subsequent chroma subsampling
78     // work only if R, G and B are finite and non-negative.
79     //
80 
81     if (!in.r.isFinite() || in.r < 0)
82         in.r = 0;
83 
84     if (!in.g.isFinite() || in.g < 0)
85         in.g = 0;
86 
87     if (!in.b.isFinite() || in.b < 0)
88         in.b = 0;
89 
90     if (in.r == in.g && in.g == in.b)
91     {
92         //
93         // Special case -- R, G and B are equal. To avoid rounding
94         // errors, we explicitly set the output luminance channel
95         // to G, and the chroma channels to 0.
96         //
97         // The special cases here and in YCAtoRGBA() ensure that
98         // converting black-and white images from RGBA to YCA and
99         // back is lossless.
100         //
101 
102         out.r = 0;
103         out.g = in.g;
104         out.b = 0;
105     }
106     else
107     {
108         out.g = in.r * yw.x + in.g * yw.y + in.b * yw.z;
109 
110         float Y = out.g;
111 
112         if (abs (in.r - Y) < HALF_MAX * Y)
113         out.r = (in.r - Y) / Y;
114         else
115         out.r = 0;
116 
117         if (abs (in.b - Y) < HALF_MAX * Y)
118         out.b = (in.b - Y) / Y;
119         else
120         out.b = 0;
121     }
122 
123     if (aIsValid)
124         out.a = in.a;
125     else
126         out.a = 1;
127     }
128 }
129 
130 
131 void
decimateChromaHoriz(int n,const Rgba ycaIn[],Rgba ycaOut[])132 decimateChromaHoriz (int n,
133              const Rgba ycaIn[/*n+N-1*/],
134              Rgba ycaOut[/*n*/])
135 {
136     #ifdef DEBUG
137     assert (ycaIn != ycaOut);
138     #endif
139 
140     int begin = N2;
141     int end = begin + n;
142 
143     for (int i = begin, j = 0; i < end; ++i, ++j)
144     {
145     if ((j & 1) == 0)
146     {
147         ycaOut[j].r = ycaIn[i - 13].r *  0.001064f +
148               ycaIn[i - 11].r * -0.003771f +
149               ycaIn[i -  9].r *  0.009801f +
150               ycaIn[i -  7].r * -0.021586f +
151               ycaIn[i -  5].r *  0.043978f +
152               ycaIn[i -  3].r * -0.093067f +
153               ycaIn[i -  1].r *  0.313659f +
154               ycaIn[i     ].r *  0.499846f +
155               ycaIn[i +  1].r *  0.313659f +
156               ycaIn[i +  3].r * -0.093067f +
157               ycaIn[i +  5].r *  0.043978f +
158               ycaIn[i +  7].r * -0.021586f +
159               ycaIn[i +  9].r *  0.009801f +
160               ycaIn[i + 11].r * -0.003771f +
161               ycaIn[i + 13].r *  0.001064f;
162 
163         ycaOut[j].b = ycaIn[i - 13].b *  0.001064f +
164               ycaIn[i - 11].b * -0.003771f +
165               ycaIn[i -  9].b *  0.009801f +
166               ycaIn[i -  7].b * -0.021586f +
167               ycaIn[i -  5].b *  0.043978f +
168               ycaIn[i -  3].b * -0.093067f +
169               ycaIn[i -  1].b *  0.313659f +
170               ycaIn[i     ].b *  0.499846f +
171               ycaIn[i +  1].b *  0.313659f +
172               ycaIn[i +  3].b * -0.093067f +
173               ycaIn[i +  5].b *  0.043978f +
174               ycaIn[i +  7].b * -0.021586f +
175               ycaIn[i +  9].b *  0.009801f +
176               ycaIn[i + 11].b * -0.003771f +
177               ycaIn[i + 13].b *  0.001064f;
178     }
179 
180     ycaOut[j].g = ycaIn[i].g;
181     ycaOut[j].a = ycaIn[i].a;
182     }
183 }
184 
185 
186 void
decimateChromaVert(int n,const Rgba * const ycaIn[N],Rgba ycaOut[])187 decimateChromaVert (int n,
188             const Rgba * const ycaIn[N],
189             Rgba ycaOut[/*n*/])
190 {
191     for (int i = 0; i < n; ++i)
192     {
193     if ((i & 1) == 0)
194     {
195         ycaOut[i].r = ycaIn[ 0][i].r *  0.001064f +
196               ycaIn[ 2][i].r * -0.003771f +
197               ycaIn[ 4][i].r *  0.009801f +
198               ycaIn[ 6][i].r * -0.021586f +
199               ycaIn[ 8][i].r *  0.043978f +
200               ycaIn[10][i].r * -0.093067f +
201               ycaIn[12][i].r *  0.313659f +
202               ycaIn[13][i].r *  0.499846f +
203               ycaIn[14][i].r *  0.313659f +
204               ycaIn[16][i].r * -0.093067f +
205               ycaIn[18][i].r *  0.043978f +
206               ycaIn[20][i].r * -0.021586f +
207               ycaIn[22][i].r *  0.009801f +
208               ycaIn[24][i].r * -0.003771f +
209               ycaIn[26][i].r *  0.001064f;
210 
211         ycaOut[i].b = ycaIn[ 0][i].b *  0.001064f +
212               ycaIn[ 2][i].b * -0.003771f +
213               ycaIn[ 4][i].b *  0.009801f +
214               ycaIn[ 6][i].b * -0.021586f +
215               ycaIn[ 8][i].b *  0.043978f +
216               ycaIn[10][i].b * -0.093067f +
217               ycaIn[12][i].b *  0.313659f +
218               ycaIn[13][i].b *  0.499846f +
219               ycaIn[14][i].b *  0.313659f +
220               ycaIn[16][i].b * -0.093067f +
221               ycaIn[18][i].b *  0.043978f +
222               ycaIn[20][i].b * -0.021586f +
223               ycaIn[22][i].b *  0.009801f +
224               ycaIn[24][i].b * -0.003771f +
225               ycaIn[26][i].b *  0.001064f;
226     }
227 
228     ycaOut[i].g = ycaIn[13][i].g;
229     ycaOut[i].a = ycaIn[13][i].a;
230     }
231 }
232 
233 
234 void
roundYCA(int n,unsigned int roundY,unsigned int roundC,const Rgba ycaIn[],Rgba ycaOut[])235 roundYCA (int n,
236       unsigned int roundY,
237       unsigned int roundC,
238       const Rgba ycaIn[/*n*/],
239       Rgba ycaOut[/*n*/])
240 {
241     for (int i = 0; i < n; ++i)
242     {
243     ycaOut[i].g = ycaIn[i].g.round (roundY);
244     ycaOut[i].a = ycaIn[i].a;
245 
246     if ((i & 1) == 0)
247     {
248         ycaOut[i].r = ycaIn[i].r.round (roundC);
249         ycaOut[i].b = ycaIn[i].b.round (roundC);
250     }
251     }
252 }
253 
254 
255 void
reconstructChromaHoriz(int n,const Rgba ycaIn[],Rgba ycaOut[])256 reconstructChromaHoriz (int n,
257             const Rgba ycaIn[/*n+N-1*/],
258             Rgba ycaOut[/*n*/])
259 {
260     #ifdef DEBUG
261     assert (ycaIn != ycaOut);
262     #endif
263 
264     int begin = N2;
265     int end = begin + n;
266 
267     for (int i = begin, j = 0; i < end; ++i, ++j)
268     {
269     if (j & 1)
270     {
271         ycaOut[j].r = ycaIn[i - 13].r *  0.002128f +
272               ycaIn[i - 11].r * -0.007540f +
273               ycaIn[i -  9].r *  0.019597f +
274               ycaIn[i -  7].r * -0.043159f +
275               ycaIn[i -  5].r *  0.087929f +
276               ycaIn[i -  3].r * -0.186077f +
277               ycaIn[i -  1].r *  0.627123f +
278               ycaIn[i +  1].r *  0.627123f +
279               ycaIn[i +  3].r * -0.186077f +
280               ycaIn[i +  5].r *  0.087929f +
281               ycaIn[i +  7].r * -0.043159f +
282               ycaIn[i +  9].r *  0.019597f +
283               ycaIn[i + 11].r * -0.007540f +
284               ycaIn[i + 13].r *  0.002128f;
285 
286         ycaOut[j].b = ycaIn[i - 13].b *  0.002128f +
287               ycaIn[i - 11].b * -0.007540f +
288               ycaIn[i -  9].b *  0.019597f +
289               ycaIn[i -  7].b * -0.043159f +
290               ycaIn[i -  5].b *  0.087929f +
291               ycaIn[i -  3].b * -0.186077f +
292               ycaIn[i -  1].b *  0.627123f +
293               ycaIn[i +  1].b *  0.627123f +
294               ycaIn[i +  3].b * -0.186077f +
295               ycaIn[i +  5].b *  0.087929f +
296               ycaIn[i +  7].b * -0.043159f +
297               ycaIn[i +  9].b *  0.019597f +
298               ycaIn[i + 11].b * -0.007540f +
299               ycaIn[i + 13].b *  0.002128f;
300     }
301     else
302     {
303         ycaOut[j].r = ycaIn[i].r;
304         ycaOut[j].b = ycaIn[i].b;
305     }
306 
307     ycaOut[j].g = ycaIn[i].g;
308     ycaOut[j].a = ycaIn[i].a;
309     }
310 }
311 
312 
313 void
reconstructChromaVert(int n,const Rgba * const ycaIn[N],Rgba ycaOut[])314 reconstructChromaVert (int n,
315                const Rgba * const ycaIn[N],
316                Rgba ycaOut[/*n*/])
317 {
318     for (int i = 0; i < n; ++i)
319     {
320     ycaOut[i].r = ycaIn[ 0][i].r *  0.002128f +
321               ycaIn[ 2][i].r * -0.007540f +
322               ycaIn[ 4][i].r *  0.019597f +
323               ycaIn[ 6][i].r * -0.043159f +
324               ycaIn[ 8][i].r *  0.087929f +
325               ycaIn[10][i].r * -0.186077f +
326               ycaIn[12][i].r *  0.627123f +
327               ycaIn[14][i].r *  0.627123f +
328               ycaIn[16][i].r * -0.186077f +
329               ycaIn[18][i].r *  0.087929f +
330               ycaIn[20][i].r * -0.043159f +
331               ycaIn[22][i].r *  0.019597f +
332               ycaIn[24][i].r * -0.007540f +
333               ycaIn[26][i].r *  0.002128f;
334 
335     ycaOut[i].b = ycaIn[ 0][i].b *  0.002128f +
336               ycaIn[ 2][i].b * -0.007540f +
337               ycaIn[ 4][i].b *  0.019597f +
338               ycaIn[ 6][i].b * -0.043159f +
339               ycaIn[ 8][i].b *  0.087929f +
340               ycaIn[10][i].b * -0.186077f +
341               ycaIn[12][i].b *  0.627123f +
342               ycaIn[14][i].b *  0.627123f +
343               ycaIn[16][i].b * -0.186077f +
344               ycaIn[18][i].b *  0.087929f +
345               ycaIn[20][i].b * -0.043159f +
346               ycaIn[22][i].b *  0.019597f +
347               ycaIn[24][i].b * -0.007540f +
348               ycaIn[26][i].b *  0.002128f;
349 
350     ycaOut[i].g = ycaIn[13][i].g;
351     ycaOut[i].a = ycaIn[13][i].a;
352     }
353 }
354 
355 
356 void
YCAtoRGBA(const Imath::V3f & yw,int n,const Rgba ycaIn[],Rgba rgbaOut[])357 YCAtoRGBA (const Imath::V3f &yw,
358        int n,
359        const Rgba ycaIn[/*n*/],
360        Rgba rgbaOut[/*n*/])
361 {
362     for (int i = 0; i < n; ++i)
363     {
364     const Rgba &in = ycaIn[i];
365     Rgba &out = rgbaOut[i];
366 
367     if (in.r == 0 && in.b == 0)
368     {
369         //
370         // Special case -- both chroma channels are 0.  To avoid
371         // rounding errors, we explicitly set the output R, G and B
372         // channels equal to the input luminance.
373         //
374         // The special cases here and in RGBAtoYCA() ensure that
375         // converting black-and white images from RGBA to YCA and
376         // back is lossless.
377         //
378 
379         out.r = in.g;
380         out.g = in.g;
381         out.b = in.g;
382         out.a = in.a;
383     }
384     else
385     {
386         float Y =  in.g;
387         float r = (in.r + 1) * Y;
388         float b = (in.b + 1) * Y;
389         float g = (Y - r * yw.x - b * yw.z) / yw.y;
390 
391         out.r = r;
392         out.g = g;
393         out.b = b;
394         out.a = in.a;
395     }
396     }
397 }
398 
399 
400 namespace {
401 
402 inline float
saturation(const Rgba & in)403 saturation (const Rgba &in)
404 {
405     float rgbMax = max (in.r, max (in.g, in.b));
406     float rgbMin = min (in.r, min (in.g, in.b));
407 
408     if (rgbMax > 0)
409     return 1 - rgbMin / rgbMax;
410     else
411     return 0;
412 }
413 
414 
415 void
desaturate(const Rgba & in,float f,const V3f & yw,Rgba & out)416 desaturate (const Rgba &in, float f, const V3f &yw, Rgba &out)
417 {
418     float rgbMax = max (in.r, max (in.g, in.b));
419 
420     out.r = max (float (rgbMax - (rgbMax - in.r) * f), 0.0f);
421     out.g = max (float (rgbMax - (rgbMax - in.g) * f), 0.0f);
422     out.b = max (float (rgbMax - (rgbMax - in.b) * f), 0.0f);
423     out.a = in.a;
424 
425     float Yin  = in.r  * yw.x + in.g  * yw.y + in.b  * yw.z;
426     float Yout = out.r * yw.x + out.g * yw.y + out.b * yw.z;
427 
428     if (Yout > 0)
429     {
430     out.r *= Yin / Yout;
431     out.g *= Yin / Yout;
432     out.b *= Yin / Yout;
433     }
434 }
435 
436 } // namespace
437 
438 
439 void
fixSaturation(const Imath::V3f & yw,int n,const Rgba * const rgbaIn[3],Rgba rgbaOut[])440 fixSaturation (const Imath::V3f &yw,
441            int n,
442            const Rgba * const rgbaIn[3],
443            Rgba rgbaOut[/*n*/])
444 {
445     float neighborA2 = saturation (rgbaIn[0][0]);
446     float neighborA1 = neighborA2;
447 
448     float neighborB2 = saturation (rgbaIn[2][0]);
449     float neighborB1 = neighborB2;
450 
451     for (int i = 0; i < n; ++i)
452     {
453     float neighborA0 = neighborA1;
454     neighborA1 = neighborA2;
455 
456     float neighborB0 = neighborB1;
457     neighborB1 = neighborB2;
458 
459     if (i < n - 1)
460     {
461         neighborA2 = saturation (rgbaIn[0][i + 1]);
462         neighborB2 = saturation (rgbaIn[2][i + 1]);
463     }
464 
465     //
466     // A0       A1       A2
467     //      rgbaOut[i]
468     // B0       B1       B2
469     //
470 
471     float sMean = min (1.0f, 0.25f * (neighborA0 + neighborA2 +
472                       neighborB0 + neighborB2));
473 
474     const Rgba &in  = rgbaIn[1][i];
475     Rgba &out = rgbaOut[i];
476 
477     float s = saturation (in);
478 
479     if (s > sMean)
480     {
481         float sMax = min (1.0f, 1 - (1 - sMean) * 0.25f);
482 
483         if (s > sMax)
484         {
485         desaturate (in, sMax / s, yw, out);
486         continue;
487         }
488     }
489 
490     out = in;
491     }
492 }
493 
494 } // namespace RgbaYca
495 } // namespace Imf
496