/** * * @file zpotri.c * * @copyright 2009-2014 The University of Tennessee and The University of * Tennessee Research Foundation. All rights reserved. * @copyright 2012-2014 Bordeaux INP, CNRS (LaBRI UMR 5800), Inria, * Univ. Bordeaux. All rights reserved. * *** * * * MORSE computational routines * MORSE is a software package provided by Univ. of Tennessee, * Univ. of California Berkeley and Univ. of Colorado Denver * * @version 1.0.0 * @comment This file has been automatically generated * from Plasma 2.5.0 for MORSE 1.0.0 * @author Mathieu Faverge * @author Emmanuel Agullo * @author Cedric Castagnede * @date 2010-11-15 * @precisions normal z -> s d c * **/ #include "control/common.h" /** ******************************************************************************** * * @ingroup MORSE_Complex64_t * * MORSE_zpotri - Computes the inverse of a complex Hermitian positive definite * matrix A using the Cholesky factorization A = U**H*U or A = L*L**H * computed by MORSE_zpotrf. * ******************************************************************************* * * @param[in] uplo * = MorseUpper: Upper triangle of A is stored; * = MorseLower: Lower triangle of A is stored. * * @param[in] N * The order of the matrix A. N >= 0. * * @param[in,out] A * On entry, the triangular factor U or L from the Cholesky * factorization A = U**H*U or A = L*L**H, as computed by * MORSE_zpotrf. * On exit, the upper or lower triangle of the (Hermitian) * inverse of A, overwriting the input factor U or L. * * @param[in] LDA * The leading dimension of the array A. LDA >= max(1,N). * ******************************************************************************* * * @return * \retval MORSE_SUCCESS successful exit * \retval <0 if -i, the i-th argument had an illegal value * \retval >0 if i, the (i,i) element of the factor U or L is * zero, and the inverse could not be computed. * ******************************************************************************* * * @sa MORSE_zpotri_Tile * @sa MORSE_zpotri_Tile_Async * @sa MORSE_cpotri * @sa MORSE_dpotri * @sa MORSE_spotri * @sa MORSE_zpotrf * ******************************************************************************/ int MORSE_zpotri( MORSE_enum uplo, int N, MORSE_Complex64_t *A, int LDA ) { int NB; int status; MORSE_context_t *morse; MORSE_sequence_t *sequence = NULL; MORSE_request_t request = MORSE_REQUEST_INITIALIZER; MORSE_desc_t descAl, descAt; morse = morse_context_self(); if (morse == NULL) { morse_fatal_error("MORSE_zpotri", "MORSE not initialized"); return MORSE_ERR_NOT_INITIALIZED; } /* Check input arguments */ if ((uplo != MorseUpper) && (uplo != MorseLower)) { morse_error("MORSE_zpotri", "illegal value of uplo"); return -1; } if (N < 0) { morse_error("MORSE_zpotri", "illegal value of N"); return -2; } if (LDA < chameleon_max(1, N)) { morse_error("MORSE_zpotri", "illegal value of LDA"); return -4; } /* Quick return */ if (chameleon_max(N, 0) == 0) return MORSE_SUCCESS; /* Tune NB depending on M, N & NRHS; Set NBNB */ status = morse_tune(MORSE_FUNC_ZPOSV, N, N, 0); if (status != MORSE_SUCCESS) { morse_error("MORSE_zpotri", "morse_tune() failed"); return status; } /* Set NT */ NB = MORSE_NB; morse_sequence_create( morse, &sequence ); /* Submit the matrix conversion */ morse_zlap2tile( morse, &descAl, &descAt, MorseDescInout, uplo, A, NB, NB, LDA, N, N, N, sequence, &request ); /* Call the tile interface */ MORSE_zpotri_Tile_Async( uplo, &descAt, sequence, &request ); /* Submit the matrix conversion back */ morse_ztile2lap( morse, &descAl, &descAt, MorseDescInout, uplo, sequence, &request ); morse_sequence_wait( morse, sequence ); /* Cleanup the temporary data */ morse_ztile2lap_cleanup( morse, &descAl, &descAt ); status = sequence->status; morse_sequence_destroy( morse, sequence ); return status; } /** ******************************************************************************** * * @ingroup MORSE_Complex64_t_Tile * * MORSE_zpotri_Tile - Computes the inverse of a complex Hermitian * positive definite matrix A using the Cholesky factorization * A = U**H*U or A = L*L**H computed by MORSE_zpotrf. * Tile equivalent of MORSE_zpotri(). * Operates on matrices stored by tiles. * All matrices are passed through descriptors. * All dimensions are taken from the descriptors. * ******************************************************************************* * * @param[in] uplo * = MorseUpper: Upper triangle of A is stored; * = MorseLower: Lower triangle of A is stored. * * @param[in] A * On entry, the triangular factor U or L from the Cholesky * factorization A = U**H*U or A = L*L**H, as computed by * MORSE_zpotrf. * On exit, the upper or lower triangle of the (Hermitian) * inverse of A, overwriting the input factor U or L. * ******************************************************************************* * * @return * \retval MORSE_SUCCESS successful exit * \retval >0 if i, the leading minor of order i of A is not * positive definite, so the factorization could not be * completed, and the solution has not been computed. * ******************************************************************************* * * @sa MORSE_zpotri * @sa MORSE_zpotri_Tile_Async * @sa MORSE_cpotri_Tile * @sa MORSE_dpotri_Tile * @sa MORSE_spotri_Tile * @sa MORSE_zpotrf_Tile * ******************************************************************************/ int MORSE_zpotri_Tile( MORSE_enum uplo, MORSE_desc_t *A ) { MORSE_context_t *morse; MORSE_sequence_t *sequence = NULL; MORSE_request_t request = MORSE_REQUEST_INITIALIZER; int status; morse = morse_context_self(); if (morse == NULL) { morse_fatal_error("MORSE_zpotri_Tile", "MORSE not initialized"); return MORSE_ERR_NOT_INITIALIZED; } morse_sequence_create( morse, &sequence ); MORSE_zpotri_Tile_Async( uplo, A, sequence, &request ); MORSE_Desc_Flush( A, sequence ); morse_sequence_wait( morse, sequence ); status = sequence->status; morse_sequence_destroy( morse, sequence ); return status; } /** ******************************************************************************** * * @ingroup MORSE_Complex64_t_Tile_Async * * MORSE_zpotri_Tile_Async - Computes the inverse of a complex Hermitian * positive definite matrix A using the Cholesky factorization A = U**H*U * or A = L*L**H computed by MORSE_zpotrf. * Non-blocking equivalent of MORSE_zpotri_Tile(). * May return before the computation is finished. * Allows for pipelining of operations at runtime. * ******************************************************************************* * * @param[in] sequence * Identifies the sequence of function calls that this call belongs to * (for completion checks and exception handling purposes). * * @param[out] request * Identifies this function call (for exception handling purposes). * ******************************************************************************* * * @sa MORSE_zpotri * @sa MORSE_zpotri_Tile * @sa MORSE_cpotri_Tile_Async * @sa MORSE_dpotri_Tile_Async * @sa MORSE_spotri_Tile_Async * @sa MORSE_zpotrf_Tile_Async * ******************************************************************************/ int MORSE_zpotri_Tile_Async( MORSE_enum uplo, MORSE_desc_t *A, MORSE_sequence_t *sequence, MORSE_request_t *request ) { MORSE_context_t *morse; morse = morse_context_self(); if (morse == NULL) { morse_fatal_error("MORSE_zpotri_Tile_Async", "MORSE not initialized"); return MORSE_ERR_NOT_INITIALIZED; } if (sequence == NULL) { morse_fatal_error("MORSE_zpotri_Tile_Async", "NULL sequence"); return MORSE_ERR_UNALLOCATED; } if (request == NULL) { morse_fatal_error("MORSE_zpotri_Tile_Async", "NULL request"); return MORSE_ERR_UNALLOCATED; } /* Check sequence status */ if (sequence->status == MORSE_SUCCESS) { request->status = MORSE_SUCCESS; } else { return morse_request_fail(sequence, request, MORSE_ERR_SEQUENCE_FLUSHED); } /* Check descriptors for correctness */ if (morse_desc_check(A) != MORSE_SUCCESS) { morse_error("MORSE_zpotri_Tile_Async", "invalid descriptor"); return morse_request_fail(sequence, request, MORSE_ERR_ILLEGAL_VALUE); } /* Check input arguments */ if (A->nb != A->mb) { morse_error("MORSE_zpotri_Tile_Async", "only square tiles supported"); return morse_request_fail(sequence, request, MORSE_ERR_ILLEGAL_VALUE); } if ((uplo != MorseUpper) && (uplo != MorseLower)) { morse_error("MORSE_zpotri_Tile_Async", "illegal value of uplo"); return morse_request_fail(sequence, request, -1); } /* Quick return */ /* if (chameleon_max(N, 0) == 0) return MORSE_SUCCESS; */ morse_pztrtri( uplo, MorseNonUnit, A, sequence, request ); morse_pzlauum( uplo, A, sequence, request ); return MORSE_SUCCESS; }