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1 /*
2  * Copyright (c) 2016, Alliance for Open Media. All rights reserved
3  *
4  * This source code is subject to the terms of the BSD 2 Clause License and
5  * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
6  * was not distributed with this source code in the LICENSE file, you can
7  * obtain it at www.aomedia.org/license/software. If the Alliance for Open
8  * Media Patent License 1.0 was not distributed with this source code in the
9  * PATENTS file, you can obtain it at www.aomedia.org/license/patent.
10  */
11 
12 #include <stdio.h>
13 #include "test/av1_txfm_test.h"
14 
15 namespace libaom_test {
16 
get_txfm1d_size(TX_SIZE tx_size)17 int get_txfm1d_size(TX_SIZE tx_size) { return tx_size_wide[tx_size]; }
18 
get_txfm1d_type(TX_TYPE txfm2d_type,TYPE_TXFM * type0,TYPE_TXFM * type1)19 void get_txfm1d_type(TX_TYPE txfm2d_type, TYPE_TXFM *type0, TYPE_TXFM *type1) {
20   switch (txfm2d_type) {
21     case DCT_DCT:
22       *type0 = TYPE_DCT;
23       *type1 = TYPE_DCT;
24       break;
25     case ADST_DCT:
26       *type0 = TYPE_ADST;
27       *type1 = TYPE_DCT;
28       break;
29     case DCT_ADST:
30       *type0 = TYPE_DCT;
31       *type1 = TYPE_ADST;
32       break;
33     case ADST_ADST:
34       *type0 = TYPE_ADST;
35       *type1 = TYPE_ADST;
36       break;
37     case FLIPADST_DCT:
38       *type0 = TYPE_ADST;
39       *type1 = TYPE_DCT;
40       break;
41     case DCT_FLIPADST:
42       *type0 = TYPE_DCT;
43       *type1 = TYPE_ADST;
44       break;
45     case FLIPADST_FLIPADST:
46       *type0 = TYPE_ADST;
47       *type1 = TYPE_ADST;
48       break;
49     case ADST_FLIPADST:
50       *type0 = TYPE_ADST;
51       *type1 = TYPE_ADST;
52       break;
53     case FLIPADST_ADST:
54       *type0 = TYPE_ADST;
55       *type1 = TYPE_ADST;
56       break;
57     case IDTX:
58       *type0 = TYPE_IDTX;
59       *type1 = TYPE_IDTX;
60       break;
61     case H_DCT:
62       *type0 = TYPE_IDTX;
63       *type1 = TYPE_DCT;
64       break;
65     case V_DCT:
66       *type0 = TYPE_DCT;
67       *type1 = TYPE_IDTX;
68       break;
69     case H_ADST:
70       *type0 = TYPE_IDTX;
71       *type1 = TYPE_ADST;
72       break;
73     case V_ADST:
74       *type0 = TYPE_ADST;
75       *type1 = TYPE_IDTX;
76       break;
77     case H_FLIPADST:
78       *type0 = TYPE_IDTX;
79       *type1 = TYPE_ADST;
80       break;
81     case V_FLIPADST:
82       *type0 = TYPE_ADST;
83       *type1 = TYPE_IDTX;
84       break;
85     default:
86       *type0 = TYPE_DCT;
87       *type1 = TYPE_DCT;
88       assert(0);
89       break;
90   }
91 }
92 
93 double Sqrt2 = pow(2, 0.5);
94 double invSqrt2 = 1 / pow(2, 0.5);
95 
dct_matrix(double n,double k,int size)96 double dct_matrix(double n, double k, int size) {
97   return cos(PI * (2 * n + 1) * k / (2 * size));
98 }
99 
reference_dct_1d(const double * in,double * out,int size)100 void reference_dct_1d(const double *in, double *out, int size) {
101   for (int k = 0; k < size; ++k) {
102     out[k] = 0;
103     for (int n = 0; n < size; ++n) {
104       out[k] += in[n] * dct_matrix(n, k, size);
105     }
106     if (k == 0) out[k] = out[k] * invSqrt2;
107   }
108 }
109 
reference_idct_1d(const double * in,double * out,int size)110 void reference_idct_1d(const double *in, double *out, int size) {
111   for (int k = 0; k < size; ++k) {
112     out[k] = 0;
113     for (int n = 0; n < size; ++n) {
114       if (n == 0)
115         out[k] += invSqrt2 * in[n] * dct_matrix(k, n, size);
116       else
117         out[k] += in[n] * dct_matrix(k, n, size);
118     }
119   }
120 }
121 
122 // TODO(any): Copied from the old 'fadst4' (same as the new 'av1_fadst4_new'
123 // function). Should be replaced by a proper reference function that takes
124 // 'double' input & output.
fadst4_new(const tran_low_t * input,tran_low_t * output)125 static void fadst4_new(const tran_low_t *input, tran_low_t *output) {
126   tran_high_t x0, x1, x2, x3;
127   tran_high_t s0, s1, s2, s3, s4, s5, s6, s7;
128 
129   x0 = input[0];
130   x1 = input[1];
131   x2 = input[2];
132   x3 = input[3];
133 
134   if (!(x0 | x1 | x2 | x3)) {
135     output[0] = output[1] = output[2] = output[3] = 0;
136     return;
137   }
138 
139   s0 = sinpi_1_9 * x0;
140   s1 = sinpi_4_9 * x0;
141   s2 = sinpi_2_9 * x1;
142   s3 = sinpi_1_9 * x1;
143   s4 = sinpi_3_9 * x2;
144   s5 = sinpi_4_9 * x3;
145   s6 = sinpi_2_9 * x3;
146   s7 = x0 + x1 - x3;
147 
148   x0 = s0 + s2 + s5;
149   x1 = sinpi_3_9 * s7;
150   x2 = s1 - s3 + s6;
151   x3 = s4;
152 
153   s0 = x0 + x3;
154   s1 = x1;
155   s2 = x2 - x3;
156   s3 = x2 - x0 + x3;
157 
158   // 1-D transform scaling factor is sqrt(2).
159   output[0] = (tran_low_t)fdct_round_shift(s0);
160   output[1] = (tran_low_t)fdct_round_shift(s1);
161   output[2] = (tran_low_t)fdct_round_shift(s2);
162   output[3] = (tran_low_t)fdct_round_shift(s3);
163 }
164 
reference_adst_1d(const double * in,double * out,int size)165 void reference_adst_1d(const double *in, double *out, int size) {
166   if (size == 4) {  // Special case.
167     tran_low_t int_input[4];
168     for (int i = 0; i < 4; ++i) {
169       int_input[i] = static_cast<tran_low_t>(round(in[i]));
170     }
171     tran_low_t int_output[4];
172     fadst4_new(int_input, int_output);
173     for (int i = 0; i < 4; ++i) {
174       out[i] = int_output[i];
175     }
176     return;
177   }
178 
179   for (int k = 0; k < size; ++k) {
180     out[k] = 0;
181     for (int n = 0; n < size; ++n) {
182       out[k] += in[n] * sin(PI * (2 * n + 1) * (2 * k + 1) / (4 * size));
183     }
184   }
185 }
186 
reference_idtx_1d(const double * in,double * out,int size)187 void reference_idtx_1d(const double *in, double *out, int size) {
188   double scale = 0;
189   if (size == 4)
190     scale = Sqrt2;
191   else if (size == 8)
192     scale = 2;
193   else if (size == 16)
194     scale = 2 * Sqrt2;
195   else if (size == 32)
196     scale = 4;
197   else if (size == 64)
198     scale = 4 * Sqrt2;
199   for (int k = 0; k < size; ++k) {
200     out[k] = in[k] * scale;
201   }
202 }
203 
reference_hybrid_1d(double * in,double * out,int size,int type)204 void reference_hybrid_1d(double *in, double *out, int size, int type) {
205   if (type == TYPE_DCT)
206     reference_dct_1d(in, out, size);
207   else if (type == TYPE_ADST)
208     reference_adst_1d(in, out, size);
209   else
210     reference_idtx_1d(in, out, size);
211 }
212 
get_amplification_factor(TX_TYPE tx_type,TX_SIZE tx_size)213 double get_amplification_factor(TX_TYPE tx_type, TX_SIZE tx_size) {
214   TXFM_2D_FLIP_CFG fwd_txfm_flip_cfg;
215   av1_get_fwd_txfm_cfg(tx_type, tx_size, &fwd_txfm_flip_cfg);
216   const int tx_width = tx_size_wide[fwd_txfm_flip_cfg.tx_size];
217   const int tx_height = tx_size_high[fwd_txfm_flip_cfg.tx_size];
218   const int8_t *shift = fwd_txfm_flip_cfg.shift;
219   const int amplify_bit = shift[0] + shift[1] + shift[2];
220   double amplify_factor =
221       amplify_bit >= 0 ? (1 << amplify_bit) : (1.0 / (1 << -amplify_bit));
222 
223   // For rectangular transforms, we need to multiply by an extra factor.
224   const int rect_type = get_rect_tx_log_ratio(tx_width, tx_height);
225   if (abs(rect_type) == 1) {
226     amplify_factor *= pow(2, 0.5);
227   }
228   return amplify_factor;
229 }
230 
reference_hybrid_2d(double * in,double * out,TX_TYPE tx_type,TX_SIZE tx_size)231 void reference_hybrid_2d(double *in, double *out, TX_TYPE tx_type,
232                          TX_SIZE tx_size) {
233   // Get transform type and size of each dimension.
234   TYPE_TXFM type0;
235   TYPE_TXFM type1;
236   get_txfm1d_type(tx_type, &type0, &type1);
237   const int tx_width = tx_size_wide[tx_size];
238   const int tx_height = tx_size_high[tx_size];
239 
240   double *const temp_in = new double[AOMMAX(tx_width, tx_height)];
241   double *const temp_out = new double[AOMMAX(tx_width, tx_height)];
242   double *const out_interm = new double[tx_width * tx_height];
243   const int stride = tx_width;
244 
245   // Transform columns.
246   for (int c = 0; c < tx_width; ++c) {
247     for (int r = 0; r < tx_height; ++r) {
248       temp_in[r] = in[r * stride + c];
249     }
250     reference_hybrid_1d(temp_in, temp_out, tx_height, type0);
251     for (int r = 0; r < tx_height; ++r) {
252       out_interm[r * stride + c] = temp_out[r];
253     }
254   }
255 
256   // Transform rows.
257   for (int r = 0; r < tx_height; ++r) {
258     reference_hybrid_1d(out_interm + r * stride, out + r * stride, tx_width,
259                         type1);
260   }
261 
262   delete[] temp_in;
263   delete[] temp_out;
264   delete[] out_interm;
265 
266   // These transforms use an approximate 2D DCT transform, by only keeping the
267   // top-left quarter of the coefficients, and repacking them in the first
268   // quarter indices.
269   // TODO(urvang): Refactor this code.
270   if (tx_width == 64 && tx_height == 64) {  // tx_size == TX_64X64
271     // Zero out top-right 32x32 area.
272     for (int row = 0; row < 32; ++row) {
273       memset(out + row * 64 + 32, 0, 32 * sizeof(*out));
274     }
275     // Zero out the bottom 64x32 area.
276     memset(out + 32 * 64, 0, 32 * 64 * sizeof(*out));
277     // Re-pack non-zero coeffs in the first 32x32 indices.
278     for (int row = 1; row < 32; ++row) {
279       memcpy(out + row * 32, out + row * 64, 32 * sizeof(*out));
280     }
281   } else if (tx_width == 32 && tx_height == 64) {  // tx_size == TX_32X64
282     // Zero out the bottom 32x32 area.
283     memset(out + 32 * 32, 0, 32 * 32 * sizeof(*out));
284     // Note: no repacking needed here.
285   } else if (tx_width == 64 && tx_height == 32) {  // tx_size == TX_64X32
286     // Zero out right 32x32 area.
287     for (int row = 0; row < 32; ++row) {
288       memset(out + row * 64 + 32, 0, 32 * sizeof(*out));
289     }
290     // Re-pack non-zero coeffs in the first 32x32 indices.
291     for (int row = 1; row < 32; ++row) {
292       memcpy(out + row * 32, out + row * 64, 32 * sizeof(*out));
293     }
294   } else if (tx_width == 16 && tx_height == 64) {  // tx_size == TX_16X64
295     // Zero out the bottom 16x32 area.
296     memset(out + 16 * 32, 0, 16 * 32 * sizeof(*out));
297     // Note: no repacking needed here.
298   } else if (tx_width == 64 && tx_height == 16) {  // tx_size == TX_64X16
299     // Zero out right 32x16 area.
300     for (int row = 0; row < 16; ++row) {
301       memset(out + row * 64 + 32, 0, 32 * sizeof(*out));
302     }
303     // Re-pack non-zero coeffs in the first 32x16 indices.
304     for (int row = 1; row < 16; ++row) {
305       memcpy(out + row * 32, out + row * 64, 32 * sizeof(*out));
306     }
307   }
308 
309   // Apply appropriate scale.
310   const double amplify_factor = get_amplification_factor(tx_type, tx_size);
311   for (int c = 0; c < tx_width; ++c) {
312     for (int r = 0; r < tx_height; ++r) {
313       out[r * stride + c] *= amplify_factor;
314     }
315   }
316 }
317 
318 template <typename Type>
fliplr(Type * dest,int width,int height,int stride)319 void fliplr(Type *dest, int width, int height, int stride) {
320   for (int r = 0; r < height; ++r) {
321     for (int c = 0; c < width / 2; ++c) {
322       const Type tmp = dest[r * stride + c];
323       dest[r * stride + c] = dest[r * stride + width - 1 - c];
324       dest[r * stride + width - 1 - c] = tmp;
325     }
326   }
327 }
328 
329 template <typename Type>
flipud(Type * dest,int width,int height,int stride)330 void flipud(Type *dest, int width, int height, int stride) {
331   for (int c = 0; c < width; ++c) {
332     for (int r = 0; r < height / 2; ++r) {
333       const Type tmp = dest[r * stride + c];
334       dest[r * stride + c] = dest[(height - 1 - r) * stride + c];
335       dest[(height - 1 - r) * stride + c] = tmp;
336     }
337   }
338 }
339 
340 template <typename Type>
fliplrud(Type * dest,int width,int height,int stride)341 void fliplrud(Type *dest, int width, int height, int stride) {
342   for (int r = 0; r < height / 2; ++r) {
343     for (int c = 0; c < width; ++c) {
344       const Type tmp = dest[r * stride + c];
345       dest[r * stride + c] = dest[(height - 1 - r) * stride + width - 1 - c];
346       dest[(height - 1 - r) * stride + width - 1 - c] = tmp;
347     }
348   }
349 }
350 
351 template void fliplr<double>(double *dest, int width, int height, int stride);
352 template void flipud<double>(double *dest, int width, int height, int stride);
353 template void fliplrud<double>(double *dest, int width, int height, int stride);
354 
355 int bd_arr[BD_NUM] = { 8, 10, 12 };
356 
357 int8_t low_range_arr[BD_NUM] = { 18, 32, 32 };
358 int8_t high_range_arr[BD_NUM] = { 32, 32, 32 };
359 
txfm_stage_range_check(const int8_t * stage_range,int stage_num,int8_t cos_bit,int low_range,int high_range)360 void txfm_stage_range_check(const int8_t *stage_range, int stage_num,
361                             int8_t cos_bit, int low_range, int high_range) {
362   for (int i = 0; i < stage_num; ++i) {
363     EXPECT_LE(stage_range[i], low_range);
364     ASSERT_LE(stage_range[i] + cos_bit, high_range) << "stage = " << i;
365   }
366   for (int i = 0; i < stage_num - 1; ++i) {
367     // make sure there is no overflow while doing half_btf()
368     ASSERT_LE(stage_range[i + 1] + cos_bit, high_range) << "stage = " << i;
369   }
370 }
371 }  // namespace libaom_test
372