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Diffstat (limited to 'third_party/libopenjpeg20/invert.c')
-rw-r--r-- | third_party/libopenjpeg20/invert.c | 294 |
1 files changed, 294 insertions, 0 deletions
diff --git a/third_party/libopenjpeg20/invert.c b/third_party/libopenjpeg20/invert.c new file mode 100644 index 0000000000..4c1ee780d3 --- /dev/null +++ b/third_party/libopenjpeg20/invert.c @@ -0,0 +1,294 @@ +/* + * The copyright in this software is being made available under the 2-clauses + * BSD License, included below. This software may be subject to other third + * party and contributor rights, including patent rights, and no such rights + * are granted under this license. + * + * Copyright (c) 2008, Jerome Fimes, Communications & Systemes <jerome.fimes@c-s.fr> + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS `AS IS' + * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE + * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR + * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF + * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS + * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN + * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + */ + +#include "opj_includes.h" + +/** + * LUP decomposition + */ +static OPJ_BOOL opj_lupDecompose(OPJ_FLOAT32 * matrix, + OPJ_UINT32 * permutations, + OPJ_FLOAT32 * p_swap_area, + OPJ_UINT32 nb_compo); +/** + * LUP solving + */ +static void opj_lupSolve(OPJ_FLOAT32 * pResult, + OPJ_FLOAT32* pMatrix, + OPJ_FLOAT32* pVector, + OPJ_UINT32* pPermutations, + OPJ_UINT32 nb_compo, + OPJ_FLOAT32 * p_intermediate_data); + +/** + *LUP inversion (call with the result of lupDecompose) + */ +static void opj_lupInvert ( OPJ_FLOAT32 * pSrcMatrix, + OPJ_FLOAT32 * pDestMatrix, + OPJ_UINT32 nb_compo, + OPJ_UINT32 * pPermutations, + OPJ_FLOAT32 * p_src_temp, + OPJ_FLOAT32 * p_dest_temp, + OPJ_FLOAT32 * p_swap_area); + +/* +========================================================== + Matric inversion interface +========================================================== +*/ +/** + * Matrix inversion. + */ +OPJ_BOOL opj_matrix_inversion_f(OPJ_FLOAT32 * pSrcMatrix, + OPJ_FLOAT32 * pDestMatrix, + OPJ_UINT32 nb_compo) +{ + OPJ_BYTE * l_data = 00; + OPJ_UINT32 l_permutation_size = nb_compo * (OPJ_UINT32)sizeof(OPJ_UINT32); + OPJ_UINT32 l_swap_size = nb_compo * (OPJ_UINT32)sizeof(OPJ_FLOAT32); + OPJ_UINT32 l_total_size = l_permutation_size + 3 * l_swap_size; + OPJ_UINT32 * lPermutations = 00; + OPJ_FLOAT32 * l_double_data = 00; + + l_data = (OPJ_BYTE *) opj_malloc(l_total_size); + if (l_data == 0) { + return OPJ_FALSE; + } + lPermutations = (OPJ_UINT32 *) l_data; + l_double_data = (OPJ_FLOAT32 *) (l_data + l_permutation_size); + memset(lPermutations,0,l_permutation_size); + + if(! opj_lupDecompose(pSrcMatrix,lPermutations,l_double_data,nb_compo)) { + opj_free(l_data); + return OPJ_FALSE; + } + + opj_lupInvert(pSrcMatrix,pDestMatrix,nb_compo,lPermutations,l_double_data,l_double_data + nb_compo,l_double_data + 2*nb_compo); + opj_free(l_data); + + return OPJ_TRUE; +} + + +/* +========================================================== + Local functions +========================================================== +*/ +OPJ_BOOL opj_lupDecompose(OPJ_FLOAT32 * matrix,OPJ_UINT32 * permutations, + OPJ_FLOAT32 * p_swap_area, + OPJ_UINT32 nb_compo) +{ + OPJ_UINT32 * tmpPermutations = permutations; + OPJ_UINT32 * dstPermutations; + OPJ_UINT32 k2=0,t; + OPJ_FLOAT32 temp; + OPJ_UINT32 i,j,k; + OPJ_FLOAT32 p; + OPJ_UINT32 lLastColum = nb_compo - 1; + OPJ_UINT32 lSwapSize = nb_compo * (OPJ_UINT32)sizeof(OPJ_FLOAT32); + OPJ_FLOAT32 * lTmpMatrix = matrix; + OPJ_FLOAT32 * lColumnMatrix,* lDestMatrix; + OPJ_UINT32 offset = 1; + OPJ_UINT32 lStride = nb_compo-1; + + /*initialize permutations */ + for (i = 0; i < nb_compo; ++i) + { + *tmpPermutations++ = i; + } + /* now make a pivot with colum switch */ + tmpPermutations = permutations; + for (k = 0; k < lLastColum; ++k) { + p = 0.0; + + /* take the middle element */ + lColumnMatrix = lTmpMatrix + k; + + /* make permutation with the biggest value in the column */ + for (i = k; i < nb_compo; ++i) { + temp = ((*lColumnMatrix > 0) ? *lColumnMatrix : -(*lColumnMatrix)); + if (temp > p) { + p = temp; + k2 = i; + } + /* next line */ + lColumnMatrix += nb_compo; + } + + /* a whole rest of 0 -> non singular */ + if (p == 0.0) { + return OPJ_FALSE; + } + + /* should we permute ? */ + if (k2 != k) { + /*exchange of line */ + /* k2 > k */ + dstPermutations = tmpPermutations + k2 - k; + /* swap indices */ + t = *tmpPermutations; + *tmpPermutations = *dstPermutations; + *dstPermutations = t; + + /* and swap entire line. */ + lColumnMatrix = lTmpMatrix + (k2 - k) * nb_compo; + memcpy(p_swap_area,lColumnMatrix,lSwapSize); + memcpy(lColumnMatrix,lTmpMatrix,lSwapSize); + memcpy(lTmpMatrix,p_swap_area,lSwapSize); + } + + /* now update data in the rest of the line and line after */ + lDestMatrix = lTmpMatrix + k; + lColumnMatrix = lDestMatrix + nb_compo; + /* take the middle element */ + temp = *(lDestMatrix++); + + /* now compute up data (i.e. coeff up of the diagonal). */ + for (i = offset; i < nb_compo; ++i) { + /*lColumnMatrix; */ + /* divide the lower column elements by the diagonal value */ + + /* matrix[i][k] /= matrix[k][k]; */ + /* p = matrix[i][k] */ + p = *lColumnMatrix / temp; + *(lColumnMatrix++) = p; + + for (j = /* k + 1 */ offset; j < nb_compo; ++j) { + /* matrix[i][j] -= matrix[i][k] * matrix[k][j]; */ + *(lColumnMatrix++) -= p * (*(lDestMatrix++)); + } + /* come back to the k+1th element */ + lDestMatrix -= lStride; + /* go to kth element of the next line */ + lColumnMatrix += k; + } + + /* offset is now k+2 */ + ++offset; + /* 1 element less for stride */ + --lStride; + /* next line */ + lTmpMatrix+=nb_compo; + /* next permutation element */ + ++tmpPermutations; + } + return OPJ_TRUE; +} + +void opj_lupSolve (OPJ_FLOAT32 * pResult, + OPJ_FLOAT32 * pMatrix, + OPJ_FLOAT32 * pVector, + OPJ_UINT32* pPermutations, + OPJ_UINT32 nb_compo,OPJ_FLOAT32 * p_intermediate_data) +{ + OPJ_INT32 k; + OPJ_UINT32 i,j; + OPJ_FLOAT32 sum; + OPJ_FLOAT32 u; + OPJ_UINT32 lStride = nb_compo+1; + OPJ_FLOAT32 * lCurrentPtr; + OPJ_FLOAT32 * lIntermediatePtr; + OPJ_FLOAT32 * lDestPtr; + OPJ_FLOAT32 * lTmpMatrix; + OPJ_FLOAT32 * lLineMatrix = pMatrix; + OPJ_FLOAT32 * lBeginPtr = pResult + nb_compo - 1; + OPJ_FLOAT32 * lGeneratedData; + OPJ_UINT32 * lCurrentPermutationPtr = pPermutations; + + + lIntermediatePtr = p_intermediate_data; + lGeneratedData = p_intermediate_data + nb_compo - 1; + + for (i = 0; i < nb_compo; ++i) { + sum = 0.0; + lCurrentPtr = p_intermediate_data; + lTmpMatrix = lLineMatrix; + for (j = 1; j <= i; ++j) + { + /* sum += matrix[i][j-1] * y[j-1]; */ + sum += (*(lTmpMatrix++)) * (*(lCurrentPtr++)); + } + /*y[i] = pVector[pPermutations[i]] - sum; */ + *(lIntermediatePtr++) = pVector[*(lCurrentPermutationPtr++)] - sum; + lLineMatrix += nb_compo; + } + + /* we take the last point of the matrix */ + lLineMatrix = pMatrix + nb_compo*nb_compo - 1; + + /* and we take after the last point of the destination vector */ + lDestPtr = pResult + nb_compo; + + + assert(nb_compo != 0); + for (k = (OPJ_INT32)nb_compo - 1; k != -1 ; --k) { + sum = 0.0; + lTmpMatrix = lLineMatrix; + u = *(lTmpMatrix++); + lCurrentPtr = lDestPtr--; + for (j = (OPJ_UINT32)(k + 1); j < nb_compo; ++j) { + /* sum += matrix[k][j] * x[j] */ + sum += (*(lTmpMatrix++)) * (*(lCurrentPtr++)); + } + /*x[k] = (y[k] - sum) / u; */ + *(lBeginPtr--) = (*(lGeneratedData--) - sum) / u; + lLineMatrix -= lStride; + } +} + + +void opj_lupInvert (OPJ_FLOAT32 * pSrcMatrix, + OPJ_FLOAT32 * pDestMatrix, + OPJ_UINT32 nb_compo, + OPJ_UINT32 * pPermutations, + OPJ_FLOAT32 * p_src_temp, + OPJ_FLOAT32 * p_dest_temp, + OPJ_FLOAT32 * p_swap_area ) +{ + OPJ_UINT32 j,i; + OPJ_FLOAT32 * lCurrentPtr; + OPJ_FLOAT32 * lLineMatrix = pDestMatrix; + OPJ_UINT32 lSwapSize = nb_compo * (OPJ_UINT32)sizeof(OPJ_FLOAT32); + + for (j = 0; j < nb_compo; ++j) { + lCurrentPtr = lLineMatrix++; + memset(p_src_temp,0,lSwapSize); + p_src_temp[j] = 1.0; + opj_lupSolve(p_dest_temp,pSrcMatrix,p_src_temp, pPermutations, nb_compo , p_swap_area); + + for (i = 0; i < nb_compo; ++i) { + *(lCurrentPtr) = p_dest_temp[i]; + lCurrentPtr+=nb_compo; + } + } +} + |