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3 // Copyright (c) 2002, Industrial Light & Magic, a division of Lucas
4 // Digital Ltd. LLC
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33 ///////////////////////////////////////////////////////////////////////////
34 
35 
36 
37 //-----------------------------------------------------------------------------
38 //
39 //	16-bit Haar Wavelet encoding and decoding
40 //
41 //	The source code in this file is derived from the encoding
42 //	and decoding routines written by Christian Rouet for his
43 //	PIZ image file format.
44 //
45 //-----------------------------------------------------------------------------
46 
47 
48 #include <ImfWav.h>
49 #include "ImfNamespace.h"
50 
51 OPENEXR_IMF_INTERNAL_NAMESPACE_SOURCE_ENTER
52 namespace {
53 
54 
55 //
56 // Wavelet basis functions without modulo arithmetic; they produce
57 // the best compression ratios when the wavelet-transformed data are
58 // Huffman-encoded, but the wavelet transform works only for 14-bit
59 // data (untransformed data values must be less than (1 << 14)).
60 //
61 
62 inline void
wenc14(unsigned short a,unsigned short b,unsigned short & l,unsigned short & h)63 wenc14 (unsigned short  a, unsigned short  b,
64         unsigned short &l, unsigned short &h)
65 {
66     short as = a;
67     short bs = b;
68 
69     short ms = (as + bs) >> 1;
70     short ds = as - bs;
71 
72     l = ms;
73     h = ds;
74 }
75 
76 
77 inline void
wdec14(unsigned short l,unsigned short h,unsigned short & a,unsigned short & b)78 wdec14 (unsigned short  l, unsigned short  h,
79         unsigned short &a, unsigned short &b)
80 {
81     short ls = l;
82     short hs = h;
83 
84     int hi = hs;
85     int ai = ls + (hi & 1) + (hi >> 1);
86 
87     short as = ai;
88     short bs = ai - hi;
89 
90     a = as;
91     b = bs;
92 }
93 
94 
95 //
96 // Wavelet basis functions with modulo arithmetic; they work with full
97 // 16-bit data, but Huffman-encoding the wavelet-transformed data doesn't
98 // compress the data quite as well.
99 //
100 
101 const int NBITS = 16;
102 const int A_OFFSET =  1 << (NBITS  - 1);
103 const int M_OFFSET =  1 << (NBITS  - 1);
104 const int MOD_MASK = (1 <<  NBITS) - 1;
105 
106 
107 inline void
wenc16(unsigned short a,unsigned short b,unsigned short & l,unsigned short & h)108 wenc16 (unsigned short  a, unsigned short  b,
109         unsigned short &l, unsigned short &h)
110 {
111     int ao =  (a + A_OFFSET) & MOD_MASK;
112     int m  = ((ao + b) >> 1);
113     int d  =   ao - b;
114 
115     if (d < 0)
116 	m = (m + M_OFFSET) & MOD_MASK;
117 
118     d &= MOD_MASK;
119 
120     l = m;
121     h = d;
122 }
123 
124 
125 inline void
wdec16(unsigned short l,unsigned short h,unsigned short & a,unsigned short & b)126 wdec16 (unsigned short  l, unsigned short  h,
127         unsigned short &a, unsigned short &b)
128 {
129     int m = l;
130     int d = h;
131     int bb = (m - (d >> 1)) & MOD_MASK;
132     int aa = (d + bb - A_OFFSET) & MOD_MASK;
133     b = bb;
134     a = aa;
135 }
136 
137 } // namespace
138 
139 
140 //
141 // 2D Wavelet encoding:
142 //
143 
144 void
wav2Encode(unsigned short * in,int nx,int ox,int ny,int oy,unsigned short mx)145 wav2Encode
146     (unsigned short*	in,	// io: values are transformed in place
147      int		nx,	// i : x size
148      int		ox,	// i : x offset
149      int		ny,	// i : y size
150      int		oy,	// i : y offset
151      unsigned short	mx)	// i : maximum in[x][y] value
152 {
153     bool w14 = (mx < (1 << 14));
154     int	n  = (nx > ny)? ny: nx;
155     int	p  = 1;			// == 1 <<  level
156     int p2 = 2;			// == 1 << (level+1)
157 
158     //
159     // Hierachical loop on smaller dimension n
160     //
161 
162     while (p2 <= n)
163     {
164 	unsigned short *py = in;
165 	unsigned short *ey = in + oy * (ny - p2);
166 	int oy1 = oy * p;
167 	int oy2 = oy * p2;
168 	int ox1 = ox * p;
169 	int ox2 = ox * p2;
170 	unsigned short i00,i01,i10,i11;
171 
172 	//
173 	// Y loop
174 	//
175 
176 	for (; py <= ey; py += oy2)
177 	{
178 	    unsigned short *px = py;
179 	    unsigned short *ex = py + ox * (nx - p2);
180 
181 	    //
182 	    // X loop
183 	    //
184 
185 	    for (; px <= ex; px += ox2)
186 	    {
187 		unsigned short *p01 = px  + ox1;
188 		unsigned short *p10 = px  + oy1;
189 		unsigned short *p11 = p10 + ox1;
190 
191 		//
192 		// 2D wavelet encoding
193 		//
194 
195 		if (w14)
196 		{
197 		    wenc14 (*px,  *p01, i00, i01);
198 		    wenc14 (*p10, *p11, i10, i11);
199 		    wenc14 (i00, i10, *px,  *p10);
200 		    wenc14 (i01, i11, *p01, *p11);
201 		}
202 		else
203 		{
204 		    wenc16 (*px,  *p01, i00, i01);
205 		    wenc16 (*p10, *p11, i10, i11);
206 		    wenc16 (i00, i10, *px,  *p10);
207 		    wenc16 (i01, i11, *p01, *p11);
208 		}
209 	    }
210 
211 	    //
212 	    // Encode (1D) odd column (still in Y loop)
213 	    //
214 
215 	    if (nx & p)
216 	    {
217 		unsigned short *p10 = px + oy1;
218 
219 		if (w14)
220 		    wenc14 (*px, *p10, i00, *p10);
221 		else
222 		    wenc16 (*px, *p10, i00, *p10);
223 
224 		*px= i00;
225 	    }
226 	}
227 
228 	//
229 	// Encode (1D) odd line (must loop in X)
230 	//
231 
232 	if (ny & p)
233 	{
234 	    unsigned short *px = py;
235 	    unsigned short *ex = py + ox * (nx - p2);
236 
237 	    for (; px <= ex; px += ox2)
238 	    {
239 		unsigned short *p01 = px + ox1;
240 
241 		if (w14)
242 		    wenc14 (*px, *p01, i00, *p01);
243 		else
244 		    wenc16 (*px, *p01, i00, *p01);
245 
246 		*px= i00;
247 	    }
248 	}
249 
250 	//
251 	// Next level
252 	//
253 
254 	p = p2;
255 	p2 <<= 1;
256     }
257 }
258 
259 
260 //
261 // 2D Wavelet decoding:
262 //
263 
264 void
wav2Decode(unsigned short * in,int nx,int ox,int ny,int oy,unsigned short mx)265 wav2Decode
266     (unsigned short*	in,	// io: values are transformed in place
267      int		nx,	// i : x size
268      int		ox,	// i : x offset
269      int		ny,	// i : y size
270      int		oy,	// i : y offset
271      unsigned short	mx)	// i : maximum in[x][y] value
272 {
273     bool w14 = (mx < (1 << 14));
274     int	n = (nx > ny)? ny: nx;
275     int	p = 1;
276     int p2;
277 
278     //
279     // Search max level
280     //
281 
282     while (p <= n)
283 	p <<= 1;
284 
285     p >>= 1;
286     p2 = p;
287     p >>= 1;
288 
289     //
290     // Hierarchical loop on smaller dimension n
291     //
292 
293     while (p >= 1)
294     {
295 	unsigned short *py = in;
296 	unsigned short *ey = in + oy * (ny - p2);
297 	int oy1 = oy * p;
298 	int oy2 = oy * p2;
299 	int ox1 = ox * p;
300 	int ox2 = ox * p2;
301 	unsigned short i00,i01,i10,i11;
302 
303 	//
304 	// Y loop
305 	//
306 
307 	for (; py <= ey; py += oy2)
308 	{
309 	    unsigned short *px = py;
310 	    unsigned short *ex = py + ox * (nx - p2);
311 
312 	    //
313 	    // X loop
314 	    //
315 
316 	    for (; px <= ex; px += ox2)
317 	    {
318 		unsigned short *p01 = px  + ox1;
319 		unsigned short *p10 = px  + oy1;
320 		unsigned short *p11 = p10 + ox1;
321 
322 		//
323 		// 2D wavelet decoding
324 		//
325 
326 		if (w14)
327 		{
328 		    wdec14 (*px,  *p10, i00, i10);
329 		    wdec14 (*p01, *p11, i01, i11);
330 		    wdec14 (i00, i01, *px,  *p01);
331 		    wdec14 (i10, i11, *p10, *p11);
332 		}
333 		else
334 		{
335 		    wdec16 (*px,  *p10, i00, i10);
336 		    wdec16 (*p01, *p11, i01, i11);
337 		    wdec16 (i00, i01, *px,  *p01);
338 		    wdec16 (i10, i11, *p10, *p11);
339 		}
340 	    }
341 
342 	    //
343 	    // Decode (1D) odd column (still in Y loop)
344 	    //
345 
346 	    if (nx & p)
347 	    {
348 		unsigned short *p10 = px + oy1;
349 
350 		if (w14)
351 		    wdec14 (*px, *p10, i00, *p10);
352 		else
353 		    wdec16 (*px, *p10, i00, *p10);
354 
355 		*px= i00;
356 	    }
357 	}
358 
359 	//
360 	// Decode (1D) odd line (must loop in X)
361 	//
362 
363 	if (ny & p)
364 	{
365 	    unsigned short *px = py;
366 	    unsigned short *ex = py + ox * (nx - p2);
367 
368 	    for (; px <= ex; px += ox2)
369 	    {
370 		unsigned short *p01 = px + ox1;
371 
372 		if (w14)
373 		    wdec14 (*px, *p01, i00, *p01);
374 		else
375 		    wdec16 (*px, *p01, i00, *p01);
376 
377 		*px= i00;
378 	    }
379 	}
380 
381 	//
382 	// Next level
383 	//
384 
385 	p2 = p;
386 	p >>= 1;
387     }
388 }
389 
390 
391 OPENEXR_IMF_INTERNAL_NAMESPACE_SOURCE_EXIT
392