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246 lines
11 KiB
C
246 lines
11 KiB
C
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/***********************************************************************
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Copyright (c) 2006-2011, Skype Limited. All rights reserved.
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions
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are met:
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- Redistributions of source code must retain the above copyright notice,
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this list of conditions and the following disclaimer.
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- Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in the
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documentation and/or other materials provided with the distribution.
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- Neither the name of Internet Society, IETF or IETF Trust, nor the
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names of specific contributors, may be used to endorse or promote
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products derived from this software without specific prior written
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permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS “AS IS”
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AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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POSSIBILITY OF SUCH DAMAGE.
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***********************************************************************/
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#ifdef HAVE_CONFIG_H
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#include "config.h"
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#endif
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#include "main_FIX.h"
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#include "tuning_parameters.h"
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/*****************************/
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/* Internal function headers */
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/*****************************/
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typedef struct {
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opus_int32 Q36_part;
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opus_int32 Q48_part;
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} inv_D_t;
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/* Factorize square matrix A into LDL form */
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static inline void silk_LDL_factorize_FIX(
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opus_int32 *A, /* I/O Pointer to Symetric Square Matrix */
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opus_int M, /* I Size of Matrix */
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opus_int32 *L_Q16, /* I/O Pointer to Square Upper triangular Matrix */
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inv_D_t *inv_D /* I/O Pointer to vector holding inverted diagonal elements of D */
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);
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/* Solve Lx = b, when L is lower triangular and has ones on the diagonal */
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static inline void silk_LS_SolveFirst_FIX(
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const opus_int32 *L_Q16, /* I Pointer to Lower Triangular Matrix */
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opus_int M, /* I Dim of Matrix equation */
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const opus_int32 *b, /* I b Vector */
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opus_int32 *x_Q16 /* O x Vector */
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);
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/* Solve L^t*x = b, where L is lower triangular with ones on the diagonal */
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static inline void silk_LS_SolveLast_FIX(
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const opus_int32 *L_Q16, /* I Pointer to Lower Triangular Matrix */
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const opus_int M, /* I Dim of Matrix equation */
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const opus_int32 *b, /* I b Vector */
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opus_int32 *x_Q16 /* O x Vector */
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);
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static inline void silk_LS_divide_Q16_FIX(
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opus_int32 T[], /* I/O Numenator vector */
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inv_D_t *inv_D, /* I 1 / D vector */
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opus_int M /* I dimension */
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);
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/* Solves Ax = b, assuming A is symmetric */
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void silk_solve_LDL_FIX(
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opus_int32 *A, /* I Pointer to symetric square matrix A */
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opus_int M, /* I Size of matrix */
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const opus_int32 *b, /* I Pointer to b vector */
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opus_int32 *x_Q16 /* O Pointer to x solution vector */
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)
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{
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opus_int32 L_Q16[ MAX_MATRIX_SIZE * MAX_MATRIX_SIZE ];
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opus_int32 Y[ MAX_MATRIX_SIZE ];
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inv_D_t inv_D[ MAX_MATRIX_SIZE ];
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silk_assert( M <= MAX_MATRIX_SIZE );
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/***************************************************
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Factorize A by LDL such that A = L*D*L',
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where L is lower triangular with ones on diagonal
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****************************************************/
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silk_LDL_factorize_FIX( A, M, L_Q16, inv_D );
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/****************************************************
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* substitute D*L'*x = Y. ie:
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L*D*L'*x = b => L*Y = b <=> Y = inv(L)*b
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******************************************************/
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silk_LS_SolveFirst_FIX( L_Q16, M, b, Y );
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/****************************************************
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D*L'*x = Y <=> L'*x = inv(D)*Y, because D is
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diagonal just multiply with 1/d_i
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****************************************************/
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silk_LS_divide_Q16_FIX( Y, inv_D, M );
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/****************************************************
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x = inv(L') * inv(D) * Y
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*****************************************************/
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silk_LS_SolveLast_FIX( L_Q16, M, Y, x_Q16 );
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}
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static inline void silk_LDL_factorize_FIX(
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opus_int32 *A, /* I/O Pointer to Symetric Square Matrix */
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opus_int M, /* I Size of Matrix */
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opus_int32 *L_Q16, /* I/O Pointer to Square Upper triangular Matrix */
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inv_D_t *inv_D /* I/O Pointer to vector holding inverted diagonal elements of D */
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)
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{
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opus_int i, j, k, status, loop_count;
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const opus_int32 *ptr1, *ptr2;
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opus_int32 diag_min_value, tmp_32, err;
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opus_int32 v_Q0[ MAX_MATRIX_SIZE ], D_Q0[ MAX_MATRIX_SIZE ];
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opus_int32 one_div_diag_Q36, one_div_diag_Q40, one_div_diag_Q48;
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silk_assert( M <= MAX_MATRIX_SIZE );
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status = 1;
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diag_min_value = silk_max_32( silk_SMMUL( silk_ADD_SAT32( A[ 0 ], A[ silk_SMULBB( M, M ) - 1 ] ), SILK_FIX_CONST( FIND_LTP_COND_FAC, 31 ) ), 1 << 9 );
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for( loop_count = 0; loop_count < M && status == 1; loop_count++ ) {
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status = 0;
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for( j = 0; j < M; j++ ) {
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ptr1 = matrix_adr( L_Q16, j, 0, M );
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tmp_32 = 0;
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for( i = 0; i < j; i++ ) {
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v_Q0[ i ] = silk_SMULWW( D_Q0[ i ], ptr1[ i ] ); /* Q0 */
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tmp_32 = silk_SMLAWW( tmp_32, v_Q0[ i ], ptr1[ i ] ); /* Q0 */
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}
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tmp_32 = silk_SUB32( matrix_ptr( A, j, j, M ), tmp_32 );
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if( tmp_32 < diag_min_value ) {
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tmp_32 = silk_SUB32( silk_SMULBB( loop_count + 1, diag_min_value ), tmp_32 );
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/* Matrix not positive semi-definite, or ill conditioned */
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for( i = 0; i < M; i++ ) {
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matrix_ptr( A, i, i, M ) = silk_ADD32( matrix_ptr( A, i, i, M ), tmp_32 );
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}
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status = 1;
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break;
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}
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D_Q0[ j ] = tmp_32; /* always < max(Correlation) */
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/* two-step division */
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one_div_diag_Q36 = silk_INVERSE32_varQ( tmp_32, 36 ); /* Q36 */
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one_div_diag_Q40 = silk_LSHIFT( one_div_diag_Q36, 4 ); /* Q40 */
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err = silk_SUB32( (opus_int32)1 << 24, silk_SMULWW( tmp_32, one_div_diag_Q40 ) ); /* Q24 */
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one_div_diag_Q48 = silk_SMULWW( err, one_div_diag_Q40 ); /* Q48 */
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/* Save 1/Ds */
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inv_D[ j ].Q36_part = one_div_diag_Q36;
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inv_D[ j ].Q48_part = one_div_diag_Q48;
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matrix_ptr( L_Q16, j, j, M ) = 65536; /* 1.0 in Q16 */
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ptr1 = matrix_adr( A, j, 0, M );
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ptr2 = matrix_adr( L_Q16, j + 1, 0, M );
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for( i = j + 1; i < M; i++ ) {
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tmp_32 = 0;
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for( k = 0; k < j; k++ ) {
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tmp_32 = silk_SMLAWW( tmp_32, v_Q0[ k ], ptr2[ k ] ); /* Q0 */
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}
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tmp_32 = silk_SUB32( ptr1[ i ], tmp_32 ); /* always < max(Correlation) */
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/* tmp_32 / D_Q0[j] : Divide to Q16 */
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matrix_ptr( L_Q16, i, j, M ) = silk_ADD32( silk_SMMUL( tmp_32, one_div_diag_Q48 ),
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silk_RSHIFT( silk_SMULWW( tmp_32, one_div_diag_Q36 ), 4 ) );
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/* go to next column */
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ptr2 += M;
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}
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}
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}
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silk_assert( status == 0 );
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}
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static inline void silk_LS_divide_Q16_FIX(
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opus_int32 T[], /* I/O Numenator vector */
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inv_D_t *inv_D, /* I 1 / D vector */
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opus_int M /* I dimension */
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)
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{
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opus_int i;
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opus_int32 tmp_32;
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opus_int32 one_div_diag_Q36, one_div_diag_Q48;
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for( i = 0; i < M; i++ ) {
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one_div_diag_Q36 = inv_D[ i ].Q36_part;
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one_div_diag_Q48 = inv_D[ i ].Q48_part;
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tmp_32 = T[ i ];
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T[ i ] = silk_ADD32( silk_SMMUL( tmp_32, one_div_diag_Q48 ), silk_RSHIFT( silk_SMULWW( tmp_32, one_div_diag_Q36 ), 4 ) );
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}
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}
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/* Solve Lx = b, when L is lower triangular and has ones on the diagonal */
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static inline void silk_LS_SolveFirst_FIX(
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const opus_int32 *L_Q16, /* I Pointer to Lower Triangular Matrix */
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opus_int M, /* I Dim of Matrix equation */
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const opus_int32 *b, /* I b Vector */
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opus_int32 *x_Q16 /* O x Vector */
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)
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{
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opus_int i, j;
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const opus_int32 *ptr32;
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opus_int32 tmp_32;
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for( i = 0; i < M; i++ ) {
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ptr32 = matrix_adr( L_Q16, i, 0, M );
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tmp_32 = 0;
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for( j = 0; j < i; j++ ) {
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tmp_32 = silk_SMLAWW( tmp_32, ptr32[ j ], x_Q16[ j ] );
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}
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x_Q16[ i ] = silk_SUB32( b[ i ], tmp_32 );
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}
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}
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/* Solve L^t*x = b, where L is lower triangular with ones on the diagonal */
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static inline void silk_LS_SolveLast_FIX(
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const opus_int32 *L_Q16, /* I Pointer to Lower Triangular Matrix */
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const opus_int M, /* I Dim of Matrix equation */
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const opus_int32 *b, /* I b Vector */
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opus_int32 *x_Q16 /* O x Vector */
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)
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{
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opus_int i, j;
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const opus_int32 *ptr32;
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opus_int32 tmp_32;
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for( i = M - 1; i >= 0; i-- ) {
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ptr32 = matrix_adr( L_Q16, 0, i, M );
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tmp_32 = 0;
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for( j = M - 1; j > i; j-- ) {
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tmp_32 = silk_SMLAWW( tmp_32, ptr32[ silk_SMULBB( j, M ) ], x_Q16[ j ] );
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}
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x_Q16[ i ] = silk_SUB32( b[ i ], tmp_32 );
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}
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}
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