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2ba45a60 DM |
1 | /* |
2 | * Floating point AAN DCT | |
3 | * this implementation is based upon the IJG integer AAN DCT (see jfdctfst.c) | |
4 | * | |
5 | * Copyright (c) 2003 Michael Niedermayer <michaelni@gmx.at> | |
6 | * Copyright (c) 2003 Roman Shaposhnik | |
7 | * | |
8 | * Permission to use, copy, modify, and/or distribute this software for any | |
9 | * purpose with or without fee is hereby granted, provided that the above | |
10 | * copyright notice and this permission notice appear in all copies. | |
11 | * | |
12 | * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES | |
13 | * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF | |
14 | * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR | |
15 | * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES | |
16 | * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN | |
17 | * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF | |
18 | * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. | |
19 | */ | |
20 | ||
21 | /** | |
22 | * @file | |
23 | * @brief | |
24 | * Floating point AAN DCT | |
25 | * @author Michael Niedermayer <michaelni@gmx.at> | |
26 | */ | |
27 | ||
28 | #include "faandct.h" | |
29 | #include "libavutil/internal.h" | |
30 | #include "libavutil/libm.h" | |
31 | ||
32 | #define FLOAT float | |
33 | ||
34 | //numbers generated by simple c code (not as accurate as they could be) | |
35 | /* | |
36 | for(i=0; i<8; i++){ | |
37 | printf("#define B%d %1.20llf\n", i, (long double)1.0/(cosl(i*acosl(-1.0)/(long double)16.0)*sqrtl(2))); | |
38 | } | |
39 | */ | |
40 | #define B0 1.00000000000000000000 | |
41 | #define B1 0.72095982200694791383 // (cos(pi*1/16)sqrt(2))^-1 | |
42 | #define B2 0.76536686473017954350 // (cos(pi*2/16)sqrt(2))^-1 | |
43 | #define B3 0.85043009476725644878 // (cos(pi*3/16)sqrt(2))^-1 | |
44 | #define B4 1.00000000000000000000 // (cos(pi*4/16)sqrt(2))^-1 | |
45 | #define B5 1.27275858057283393842 // (cos(pi*5/16)sqrt(2))^-1 | |
46 | #define B6 1.84775906502257351242 // (cos(pi*6/16)sqrt(2))^-1 | |
47 | #define B7 3.62450978541155137218 // (cos(pi*7/16)sqrt(2))^-1 | |
48 | ||
49 | ||
50 | #define A1 0.70710678118654752438 // cos(pi*4/16) | |
51 | #define A2 0.54119610014619698435 // cos(pi*6/16)sqrt(2) | |
52 | #define A5 0.38268343236508977170 // cos(pi*6/16) | |
53 | #define A4 1.30656296487637652774 // cos(pi*2/16)sqrt(2) | |
54 | ||
55 | static const FLOAT postscale[64]={ | |
56 | B0*B0, B0*B1, B0*B2, B0*B3, B0*B4, B0*B5, B0*B6, B0*B7, | |
57 | B1*B0, B1*B1, B1*B2, B1*B3, B1*B4, B1*B5, B1*B6, B1*B7, | |
58 | B2*B0, B2*B1, B2*B2, B2*B3, B2*B4, B2*B5, B2*B6, B2*B7, | |
59 | B3*B0, B3*B1, B3*B2, B3*B3, B3*B4, B3*B5, B3*B6, B3*B7, | |
60 | B4*B0, B4*B1, B4*B2, B4*B3, B4*B4, B4*B5, B4*B6, B4*B7, | |
61 | B5*B0, B5*B1, B5*B2, B5*B3, B5*B4, B5*B5, B5*B6, B5*B7, | |
62 | B6*B0, B6*B1, B6*B2, B6*B3, B6*B4, B6*B5, B6*B6, B6*B7, | |
63 | B7*B0, B7*B1, B7*B2, B7*B3, B7*B4, B7*B5, B7*B6, B7*B7, | |
64 | }; | |
65 | ||
66 | static av_always_inline void row_fdct(FLOAT temp[64], int16_t *data) | |
67 | { | |
68 | FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; | |
69 | FLOAT tmp10, tmp11, tmp12, tmp13; | |
70 | FLOAT z2, z4, z11, z13; | |
71 | int i; | |
72 | ||
73 | for (i=0; i<8*8; i+=8) { | |
74 | tmp0= data[0 + i] + data[7 + i]; | |
75 | tmp7= data[0 + i] - data[7 + i]; | |
76 | tmp1= data[1 + i] + data[6 + i]; | |
77 | tmp6= data[1 + i] - data[6 + i]; | |
78 | tmp2= data[2 + i] + data[5 + i]; | |
79 | tmp5= data[2 + i] - data[5 + i]; | |
80 | tmp3= data[3 + i] + data[4 + i]; | |
81 | tmp4= data[3 + i] - data[4 + i]; | |
82 | ||
83 | tmp10= tmp0 + tmp3; | |
84 | tmp13= tmp0 - tmp3; | |
85 | tmp11= tmp1 + tmp2; | |
86 | tmp12= tmp1 - tmp2; | |
87 | ||
88 | temp[0 + i]= tmp10 + tmp11; | |
89 | temp[4 + i]= tmp10 - tmp11; | |
90 | ||
91 | tmp12 += tmp13; | |
92 | tmp12 *= A1; | |
93 | temp[2 + i]= tmp13 + tmp12; | |
94 | temp[6 + i]= tmp13 - tmp12; | |
95 | ||
96 | tmp4 += tmp5; | |
97 | tmp5 += tmp6; | |
98 | tmp6 += tmp7; | |
99 | ||
100 | #if 0 | |
101 | { | |
102 | FLOAT z5; | |
103 | z5 = (tmp4 - tmp6) * A5; | |
104 | z2 = tmp4 * A2 + z5; | |
105 | z4 = tmp6 * A4 + z5; | |
106 | } | |
107 | #else | |
108 | z2= tmp4*(A2+A5) - tmp6*A5; | |
109 | z4= tmp6*(A4-A5) + tmp4*A5; | |
110 | #endif | |
111 | tmp5*=A1; | |
112 | ||
113 | z11= tmp7 + tmp5; | |
114 | z13= tmp7 - tmp5; | |
115 | ||
116 | temp[5 + i]= z13 + z2; | |
117 | temp[3 + i]= z13 - z2; | |
118 | temp[1 + i]= z11 + z4; | |
119 | temp[7 + i]= z11 - z4; | |
120 | } | |
121 | } | |
122 | ||
123 | void ff_faandct(int16_t *data) | |
124 | { | |
125 | FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; | |
126 | FLOAT tmp10, tmp11, tmp12, tmp13; | |
127 | FLOAT z2, z4, z11, z13; | |
128 | FLOAT temp[64]; | |
129 | int i; | |
130 | ||
131 | emms_c(); | |
132 | ||
133 | row_fdct(temp, data); | |
134 | ||
135 | for (i=0; i<8; i++) { | |
136 | tmp0= temp[8*0 + i] + temp[8*7 + i]; | |
137 | tmp7= temp[8*0 + i] - temp[8*7 + i]; | |
138 | tmp1= temp[8*1 + i] + temp[8*6 + i]; | |
139 | tmp6= temp[8*1 + i] - temp[8*6 + i]; | |
140 | tmp2= temp[8*2 + i] + temp[8*5 + i]; | |
141 | tmp5= temp[8*2 + i] - temp[8*5 + i]; | |
142 | tmp3= temp[8*3 + i] + temp[8*4 + i]; | |
143 | tmp4= temp[8*3 + i] - temp[8*4 + i]; | |
144 | ||
145 | tmp10= tmp0 + tmp3; | |
146 | tmp13= tmp0 - tmp3; | |
147 | tmp11= tmp1 + tmp2; | |
148 | tmp12= tmp1 - tmp2; | |
149 | ||
150 | data[8*0 + i]= lrintf(postscale[8*0 + i] * (tmp10 + tmp11)); | |
151 | data[8*4 + i]= lrintf(postscale[8*4 + i] * (tmp10 - tmp11)); | |
152 | ||
153 | tmp12 += tmp13; | |
154 | tmp12 *= A1; | |
155 | data[8*2 + i]= lrintf(postscale[8*2 + i] * (tmp13 + tmp12)); | |
156 | data[8*6 + i]= lrintf(postscale[8*6 + i] * (tmp13 - tmp12)); | |
157 | ||
158 | tmp4 += tmp5; | |
159 | tmp5 += tmp6; | |
160 | tmp6 += tmp7; | |
161 | ||
162 | #if 0 | |
163 | { | |
164 | FLOAT z5; | |
165 | z5 = (tmp4 - tmp6) * A5; | |
166 | z2 = tmp4 * A2 + z5; | |
167 | z4 = tmp6 * A4 + z5; | |
168 | } | |
169 | #else | |
170 | z2= tmp4*(A2+A5) - tmp6*A5; | |
171 | z4= tmp6*(A4-A5) + tmp4*A5; | |
172 | #endif | |
173 | tmp5*=A1; | |
174 | ||
175 | z11= tmp7 + tmp5; | |
176 | z13= tmp7 - tmp5; | |
177 | ||
178 | data[8*5 + i]= lrintf(postscale[8*5 + i] * (z13 + z2)); | |
179 | data[8*3 + i]= lrintf(postscale[8*3 + i] * (z13 - z2)); | |
180 | data[8*1 + i]= lrintf(postscale[8*1 + i] * (z11 + z4)); | |
181 | data[8*7 + i]= lrintf(postscale[8*7 + i] * (z11 - z4)); | |
182 | } | |
183 | } | |
184 | ||
185 | void ff_faandct248(int16_t *data) | |
186 | { | |
187 | FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; | |
188 | FLOAT tmp10, tmp11, tmp12, tmp13; | |
189 | FLOAT temp[64]; | |
190 | int i; | |
191 | ||
192 | emms_c(); | |
193 | ||
194 | row_fdct(temp, data); | |
195 | ||
196 | for (i=0; i<8; i++) { | |
197 | tmp0 = temp[8*0 + i] + temp[8*1 + i]; | |
198 | tmp1 = temp[8*2 + i] + temp[8*3 + i]; | |
199 | tmp2 = temp[8*4 + i] + temp[8*5 + i]; | |
200 | tmp3 = temp[8*6 + i] + temp[8*7 + i]; | |
201 | tmp4 = temp[8*0 + i] - temp[8*1 + i]; | |
202 | tmp5 = temp[8*2 + i] - temp[8*3 + i]; | |
203 | tmp6 = temp[8*4 + i] - temp[8*5 + i]; | |
204 | tmp7 = temp[8*6 + i] - temp[8*7 + i]; | |
205 | ||
206 | tmp10 = tmp0 + tmp3; | |
207 | tmp11 = tmp1 + tmp2; | |
208 | tmp12 = tmp1 - tmp2; | |
209 | tmp13 = tmp0 - tmp3; | |
210 | ||
211 | data[8*0 + i] = lrintf(postscale[8*0 + i] * (tmp10 + tmp11)); | |
212 | data[8*4 + i] = lrintf(postscale[8*4 + i] * (tmp10 - tmp11)); | |
213 | ||
214 | tmp12 += tmp13; | |
215 | tmp12 *= A1; | |
216 | data[8*2 + i] = lrintf(postscale[8*2 + i] * (tmp13 + tmp12)); | |
217 | data[8*6 + i] = lrintf(postscale[8*6 + i] * (tmp13 - tmp12)); | |
218 | ||
219 | tmp10 = tmp4 + tmp7; | |
220 | tmp11 = tmp5 + tmp6; | |
221 | tmp12 = tmp5 - tmp6; | |
222 | tmp13 = tmp4 - tmp7; | |
223 | ||
224 | data[8*1 + i] = lrintf(postscale[8*0 + i] * (tmp10 + tmp11)); | |
225 | data[8*5 + i] = lrintf(postscale[8*4 + i] * (tmp10 - tmp11)); | |
226 | ||
227 | tmp12 += tmp13; | |
228 | tmp12 *= A1; | |
229 | data[8*3 + i] = lrintf(postscale[8*2 + i] * (tmp13 + tmp12)); | |
230 | data[8*7 + i] = lrintf(postscale[8*6 + i] * (tmp13 - tmp12)); | |
231 | } | |
232 | } |