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authorGertjan van den Burg <burg@ese.eur.nl>2014-08-25 14:38:03 +0200
committerGertjan van den Burg <burg@ese.eur.nl>2014-08-25 14:38:03 +0200
commit1e340d509f229120eb3aaa98c91028dc3c0d3305 (patch)
treedd6b65c428447f179133e967eb0e0d3ce15f68ec /src/gensvm_lapack.c
parentfree some work arrays (diff)
downloadgensvm-1e340d509f229120eb3aaa98c91028dc3c0d3305.tar.gz
gensvm-1e340d509f229120eb3aaa98c91028dc3c0d3305.zip
rename msvmmaj to gensvm
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+/**
+ * @file gensvm_lapack.c
+ * @author Gertjan van den Burg
+ * @date August 9, 2013
+ * @brief Utility functions for interacting with LAPACK
+ *
+ * @details
+ * Functions in this file are auxiliary functions which make it easier
+ * to use LAPACK functions from liblapack.
+ */
+
+#include "gensvm_lapack.h"
+
+/**
+ * @brief Solve AX = B where A is symmetric positive definite.
+ *
+ * @details
+ * Solve a linear system of equations AX = B where A is symmetric positive
+ * definite. This function uses the externel LAPACK routine dposv.
+ *
+ * @param[in] UPLO which triangle of A is stored
+ * @param[in] N order of A
+ * @param[in] NRHS number of columns of B
+ * @param[in,out] A double precision array of size (LDA, N). On
+ * exit contains the upper or lower factor of the
+ * Cholesky factorization of A.
+ * @param[in] LDA leading dimension of A
+ * @param[in,out] B double precision array of size (LDB, NRHS). On
+ * exit contains the N-by-NRHS solution matrix X.
+ * @param[in] LDB the leading dimension of B
+ * @returns info parameter which contains the status of the
+ * computation:
+ * - =0: success
+ * - <0: if -i, the i-th argument had
+ * an illegal value
+ * - >0: if i, the leading minor of A
+ * was not positive definite
+ *
+ * See the LAPACK documentation at:
+ * http://www.netlib.org/lapack/explore-html/dc/de9/group__double_p_osolve.html
+ */
+int dposv(char UPLO, int N, int NRHS, double *A, int LDA, double *B,
+ int LDB)
+{
+ extern void dposv_(char *UPLO, int *Np, int *NRHSp, double *A,
+ int *LDAp, double *B, int *LDBp, int *INFOp);
+ int INFO;
+ dposv_(&UPLO, &N, &NRHS, A, &LDA, B, &LDB, &INFO);
+ return INFO;
+}
+
+/**
+ * @brief Solve a system of equations AX = B where A is symmetric.
+ *
+ * @details
+ * Solve a linear system of equations AX = B where A is symmetric. This
+ * function uses the external LAPACK routine dsysv.
+ *
+ * @param[in] UPLO which triangle of A is stored
+ * @param[in] N order of A
+ * @param[in] NRHS number of columns of B
+ * @param[in,out] A double precision array of size (LDA, N). On
+ * exit contains the block diagonal matrix D and
+ * the multipliers used to obtain the factor U or
+ * L from the factorization A = U*D*U**T or
+ * A = L*D*L**T.
+ * @param[in] LDA leading dimension of A
+ * @param[in] IPIV integer array containing the details of D
+ * @param[in,out] B double precision array of size (LDB, NRHS). On
+ * exit contains the N-by-NRHS matrix X
+ * @param[in] LDB leading dimension of B
+ * @param[out] WORK double precision array of size max(1,LWORK). On
+ * exit, WORK(1) contains the optimal LWORK
+ * @param[in] LWORK the length of WORK, can be used for determining
+ * the optimal blocksize for dsystrf.
+ * @returns info parameter which contains the status of the
+ * computation:
+ * - =0: success
+ * - <0: if -i, the i-th argument had an
+ * illegal value
+ * - >0: if i, D(i, i) is exactly zero,
+ * no solution can be computed.
+ *
+ * See the LAPACK documentation at:
+ * http://www.netlib.org/lapack/explore-html/d6/d0e/group__double_s_ysolve.html
+ */
+int dsysv(char UPLO, int N, int NRHS, double *A, int LDA, int *IPIV,
+ double *B, int LDB, double *WORK, int LWORK)
+{
+ extern void dsysv_(char *UPLO, int *Np, int *NRHSp, double *A,
+ int *LDAp, int *IPIV, double *B, int *LDBp,
+ double *WORK, int *LWORK, int *INFOp);
+ int INFO;
+ dsysv_(&UPLO, &N, &NRHS, A, &LDA, IPIV, B, &LDB, WORK, &LWORK, &INFO);
+ return INFO;
+}
+
+/**
+ * @brief Compute the eigenvalues and optionally the eigenvectors of a
+ * symmetric matrix.
+ *
+ * @details
+ * See the LAPACK documentation at:
+ * http://www.netlib.org/lapack/explore-html/d2/d97/dsyevx_8f.html
+ *
+ *
+ */
+int dsyevx(char JOBZ, char RANGE, char UPLO, int N, double *A, int LDA,
+ double VL, double VU, int IL, int IU, double ABSTOL, int *M,
+ double *W, double *Z, int LDZ, double *WORK, int LWORK,
+ int *IWORK, int *IFAIL)
+{
+ extern void dsyevx_(char *JOBZ, char *RANGE, char *UPLO, int *Np,
+ double *A, int *LDAp, double *VLp, double *VUp,
+ int *ILp, int *IUp, double *ABSTOLp, int *M,
+ double *W, double *Z, int *LDZp, double *WORK,
+ int *LWORKp, int *IWORK, int *IFAIL, int *INFOp);
+ int INFO;
+ dsyevx_(&JOBZ, &RANGE, &UPLO, &N, A, &LDA, &VL, &VU, &IL, &IU, &ABSTOL,
+ M, W, Z, &LDZ, WORK, &LWORK, IWORK, IFAIL, &INFO);
+ return INFO;
+}
+
+/**
+ * @brief Determine double precision machine parameters.
+ *
+ * @details
+ * See the LAPACK documentation at:
+ * http://www.netlib.org/lapack/explore-html/d5/dd4/dlamch_8f.html
+ */
+double dlamch(char CMACH)
+{
+ extern double dlamch_(char *CMACH);
+ return dlamch_(&CMACH);
+}