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Diffstat (limited to 'src/opus-1.1/silk/float/solve_LS_FLP.c')
-rw-r--r-- | src/opus-1.1/silk/float/solve_LS_FLP.c | 207 |
1 files changed, 0 insertions, 207 deletions
diff --git a/src/opus-1.1/silk/float/solve_LS_FLP.c b/src/opus-1.1/silk/float/solve_LS_FLP.c deleted file mode 100644 index b35f0a57..00000000 --- a/src/opus-1.1/silk/float/solve_LS_FLP.c +++ /dev/null @@ -1,207 +0,0 @@ -/*********************************************************************** -Copyright (c) 2006-2011, Skype Limited. All rights reserved. -Redistribution and use in source and binary forms, with or without -modification, are permitted provided that the following conditions -are met: -- Redistributions of source code must retain the above copyright notice, -this list of conditions and the following disclaimer. -- 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. -- Neither the name of Internet Society, IETF or IETF Trust, nor the -names of specific contributors, may be used to endorse or promote -products derived from this software without specific prior written -permission. -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. -***********************************************************************/ - -#ifdef HAVE_CONFIG_H -#include "config.h" -#endif - -#include "main_FLP.h" -#include "tuning_parameters.h" - -/********************************************************************** - * LDL Factorisation. Finds the upper triangular matrix L and the diagonal - * Matrix D (only the diagonal elements returned in a vector)such that - * the symmetric matric A is given by A = L*D*L'. - **********************************************************************/ -static OPUS_INLINE void silk_LDL_FLP( - silk_float *A, /* I/O Pointer to Symetric Square Matrix */ - opus_int M, /* I Size of Matrix */ - silk_float *L, /* I/O Pointer to Square Upper triangular Matrix */ - silk_float *Dinv /* I/O Pointer to vector holding the inverse diagonal elements of D */ -); - -/********************************************************************** - * Function to solve linear equation Ax = b, when A is a MxM lower - * triangular matrix, with ones on the diagonal. - **********************************************************************/ -static OPUS_INLINE void silk_SolveWithLowerTriangularWdiagOnes_FLP( - const silk_float *L, /* I Pointer to Lower Triangular Matrix */ - opus_int M, /* I Dim of Matrix equation */ - const silk_float *b, /* I b Vector */ - silk_float *x /* O x Vector */ -); - -/********************************************************************** - * Function to solve linear equation (A^T)x = b, when A is a MxM lower - * triangular, with ones on the diagonal. (ie then A^T is upper triangular) - **********************************************************************/ -static OPUS_INLINE void silk_SolveWithUpperTriangularFromLowerWdiagOnes_FLP( - const silk_float *L, /* I Pointer to Lower Triangular Matrix */ - opus_int M, /* I Dim of Matrix equation */ - const silk_float *b, /* I b Vector */ - silk_float *x /* O x Vector */ -); - -/********************************************************************** - * Function to solve linear equation Ax = b, when A is a MxM - * symmetric square matrix - using LDL factorisation - **********************************************************************/ -void silk_solve_LDL_FLP( - silk_float *A, /* I/O Symmetric square matrix, out: reg. */ - const opus_int M, /* I Size of matrix */ - const silk_float *b, /* I Pointer to b vector */ - silk_float *x /* O Pointer to x solution vector */ -) -{ - opus_int i; - silk_float L[ MAX_MATRIX_SIZE ][ MAX_MATRIX_SIZE ]; - silk_float T[ MAX_MATRIX_SIZE ]; - silk_float Dinv[ MAX_MATRIX_SIZE ]; /* inverse diagonal elements of D*/ - - silk_assert( M <= MAX_MATRIX_SIZE ); - - /*************************************************** - Factorize A by LDL such that A = L*D*(L^T), - where L is lower triangular with ones on diagonal - ****************************************************/ - silk_LDL_FLP( A, M, &L[ 0 ][ 0 ], Dinv ); - - /**************************************************** - * substitute D*(L^T) = T. ie: - L*D*(L^T)*x = b => L*T = b <=> T = inv(L)*b - ******************************************************/ - silk_SolveWithLowerTriangularWdiagOnes_FLP( &L[ 0 ][ 0 ], M, b, T ); - - /**************************************************** - D*(L^T)*x = T <=> (L^T)*x = inv(D)*T, because D is - diagonal just multiply with 1/d_i - ****************************************************/ - for( i = 0; i < M; i++ ) { - T[ i ] = T[ i ] * Dinv[ i ]; - } - /**************************************************** - x = inv(L') * inv(D) * T - *****************************************************/ - silk_SolveWithUpperTriangularFromLowerWdiagOnes_FLP( &L[ 0 ][ 0 ], M, T, x ); -} - -static OPUS_INLINE void silk_SolveWithUpperTriangularFromLowerWdiagOnes_FLP( - const silk_float *L, /* I Pointer to Lower Triangular Matrix */ - opus_int M, /* I Dim of Matrix equation */ - const silk_float *b, /* I b Vector */ - silk_float *x /* O x Vector */ -) -{ - opus_int i, j; - silk_float temp; - const silk_float *ptr1; - - for( i = M - 1; i >= 0; i-- ) { - ptr1 = matrix_adr( L, 0, i, M ); - temp = 0; - for( j = M - 1; j > i ; j-- ) { - temp += ptr1[ j * M ] * x[ j ]; - } - temp = b[ i ] - temp; - x[ i ] = temp; - } -} - -static OPUS_INLINE void silk_SolveWithLowerTriangularWdiagOnes_FLP( - const silk_float *L, /* I Pointer to Lower Triangular Matrix */ - opus_int M, /* I Dim of Matrix equation */ - const silk_float *b, /* I b Vector */ - silk_float *x /* O x Vector */ -) -{ - opus_int i, j; - silk_float temp; - const silk_float *ptr1; - - for( i = 0; i < M; i++ ) { - ptr1 = matrix_adr( L, i, 0, M ); - temp = 0; - for( j = 0; j < i; j++ ) { - temp += ptr1[ j ] * x[ j ]; - } - temp = b[ i ] - temp; - x[ i ] = temp; - } -} - -static OPUS_INLINE void silk_LDL_FLP( - silk_float *A, /* I/O Pointer to Symetric Square Matrix */ - opus_int M, /* I Size of Matrix */ - silk_float *L, /* I/O Pointer to Square Upper triangular Matrix */ - silk_float *Dinv /* I/O Pointer to vector holding the inverse diagonal elements of D */ -) -{ - opus_int i, j, k, loop_count, err = 1; - silk_float *ptr1, *ptr2; - double temp, diag_min_value; - silk_float v[ MAX_MATRIX_SIZE ] = { 0 }, D[ MAX_MATRIX_SIZE ]; /* temp arrays*/ - - silk_assert( M <= MAX_MATRIX_SIZE ); - - diag_min_value = FIND_LTP_COND_FAC * 0.5f * ( A[ 0 ] + A[ M * M - 1 ] ); - for( loop_count = 0; loop_count < M && err == 1; loop_count++ ) { - err = 0; - for( j = 0; j < M; j++ ) { - ptr1 = matrix_adr( L, j, 0, M ); - temp = matrix_ptr( A, j, j, M ); /* element in row j column j*/ - for( i = 0; i < j; i++ ) { - v[ i ] = ptr1[ i ] * D[ i ]; - temp -= ptr1[ i ] * v[ i ]; - } - if( temp < diag_min_value ) { - /* Badly conditioned matrix: add white noise and run again */ - temp = ( loop_count + 1 ) * diag_min_value - temp; - for( i = 0; i < M; i++ ) { - matrix_ptr( A, i, i, M ) += ( silk_float )temp; - } - err = 1; - break; - } - D[ j ] = ( silk_float )temp; - Dinv[ j ] = ( silk_float )( 1.0f / temp ); - matrix_ptr( L, j, j, M ) = 1.0f; - - ptr1 = matrix_adr( A, j, 0, M ); - ptr2 = matrix_adr( L, j + 1, 0, M); - for( i = j + 1; i < M; i++ ) { - temp = 0.0; - for( k = 0; k < j; k++ ) { - temp += ptr2[ k ] * v[ k ]; - } - matrix_ptr( L, i, j, M ) = ( silk_float )( ( ptr1[ i ] - temp ) * Dinv[ j ] ); - ptr2 += M; /* go to next column*/ - } - } - } - silk_assert( err == 0 ); -} - |