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85
dsp/core/dct.c
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85
dsp/core/dct.c
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
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│vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi│
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╞══════════════════════════════════════════════════════════════════════════════╡
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│ Copyright 2020 Justine Alexandra Roberts Tunney │
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│ │
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│ This program is free software; you can redistribute it and/or modify │
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│ it under the terms of the GNU General Public License as published by │
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│ the Free Software Foundation; version 2 of the License. │
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│ │
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│ This program is distributed in the hope that it will be useful, but │
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│ WITHOUT ANY WARRANTY; without even the implied warranty of │
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│ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU │
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│ General Public License for more details. │
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│ │
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│ You should have received a copy of the GNU General Public License │
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│ along with this program; if not, write to the Free Software │
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│ Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA │
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│ 02110-1301 USA │
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╚─────────────────────────────────────────────────────────────────────────────*/
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#include "dsp/core/core.h"
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#define DCT(A, B, C, D, E, F, G, H, T, C0, C1, C2, C3, C4) \
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do { \
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T z1, z2, z3, z4, z5, z11, z13; \
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T t0, t1, t2, t3, t4, t5, t6, t7, t8, t10, t11, t12, t13; \
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t0 = A + H; \
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t7 = A - H; \
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t1 = B + G; \
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t6 = B - G; \
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t2 = C + F; \
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t5 = C - F; \
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t3 = D + E; \
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t4 = D - E; \
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t10 = t0 + t3; \
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t13 = t0 - t3; \
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t11 = t1 + t2; \
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t12 = t1 - t2; \
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A = t10 + t11; \
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E = t10 - t11; \
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z1 = (t12 + t13) * C0; \
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C = t13 + z1; \
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G = t13 - z1; \
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t10 = t4 + t5; \
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t11 = t5 + t6; \
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t12 = t6 + t7; \
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z5 = (t10 - t12) * C1; \
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z2 = t10 * C2 + z5; \
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z4 = t12 * C3 + z5; \
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z3 = t11 * C4; \
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z11 = t7 + z3; \
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z13 = t7 - z3; \
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F = z13 + z2; \
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D = z13 - z2; \
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B = z11 + z4; \
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H = z11 - z4; \
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} while (0)
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/**
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* Performs float forward discrete cosine transform.
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*
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* This takes a tiny block of image data and shoves the information it
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* represents into the top left corner. It can be reversed using idct().
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* It matters because iterating the result in a serpentine pattern makes
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* run-length delta encoding super effective. Furthermore, data downward
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* rightly may be divided away for lossy compression.
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*
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* @cost ~100ns
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*/
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void *dct(float M[8][8], float c0, float c1, float c2, float c3, float c4) {
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unsigned y, x;
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for (y = 0; y < 8; ++y) {
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DCT(M[y][0], M[y][1], M[y][2], M[y][3], M[y][4], M[y][5], M[y][6], M[y][7],
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float, c0, c1, c2, c3, c4);
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}
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for (x = 0; x < 8; ++x) {
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DCT(M[0][x], M[1][x], M[2][x], M[3][x], M[4][x], M[5][x], M[6][x], M[7][x],
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float, c0, c1, c2, c3, c4);
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}
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return M;
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}
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void *dctjpeg(float M[8][8]) {
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return dct(M, .707106781f, .382683433f, .541196100f, 1.306562965f,
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.707106781f);
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}
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