/*  -- translated by f2c (version 20191129).
   You must link the resulting object file with libf2c:
	on Microsoft Windows system, link with libf2c.lib;
	on Linux or Unix systems, link with .../path/to/libf2c.a -lm
	or, if you install libf2c.a in a standard place, with -lf2c -lm
	-- in that order, at the end of the command line, as in
		cc *.o -lf2c -lm
	Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,

		http://www.netlib.org/f2c/libf2c.zip
*/

#include "f2c.h"

/* Table of constant values */

static integer c__1 = 1;
static integer c_n1 = -1;
static doublereal c_b13 = -1.;
static doublereal c_b14 = 1.;

/* > \brief \b DPOTRF   

    =========== DOCUMENTATION ===========   

   Online html documentation available at   
              http://www.netlib.org/lapack/explore-html/   

   > \htmlonly   
   > Download DPOTRF + dependencies   
   > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dpotrf.
f">   
   > [TGZ]</a>   
   > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dpotrf.
f">   
   > [ZIP]</a>   
   > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dpotrf.
f">   
   > [TXT]</a>   
   > \endhtmlonly   

    Definition:   
    ===========   

         SUBROUTINE DPOTRF( UPLO, N, A, LDA, INFO )   

         CHARACTER          UPLO   
         INTEGER            INFO, LDA, N   
         DOUBLE PRECISION   A( LDA, * )   


   > \par Purpose:   
    =============   
   >   
   > \verbatim   
   >   
   > DPOTRF computes the Cholesky factorization of a real symmetric   
   > positive definite matrix A.   
   >   
   > The factorization has the form   
   >    A = U**T * U,  if UPLO = 'U', or   
   >    A = L  * L**T,  if UPLO = 'L',   
   > where U is an upper triangular matrix and L is lower triangular.   
   >   
   > This is the block version of the algorithm, calling Level 3 BLAS.   
   > \endverbatim   

    Arguments:   
    ==========   

   > \param[in] UPLO   
   > \verbatim   
   >          UPLO is CHARACTER*1   
   >          = 'U':  Upper triangle of A is stored;   
   >          = 'L':  Lower triangle of A is stored.   
   > \endverbatim   
   >   
   > \param[in] N   
   > \verbatim   
   >          N is INTEGER   
   >          The order of the matrix A.  N >= 0.   
   > \endverbatim   
   >   
   > \param[in,out] A   
   > \verbatim   
   >          A is DOUBLE PRECISION array, dimension (LDA,N)   
   >          On entry, the symmetric matrix A.  If UPLO = 'U', the leading   
   >          N-by-N upper triangular part of A contains the upper   
   >          triangular part of the matrix A, and the strictly lower   
   >          triangular part of A is not referenced.  If UPLO = 'L', the   
   >          leading N-by-N lower triangular part of A contains the lower   
   >          triangular part of the matrix A, and the strictly upper   
   >          triangular part of A is not referenced.   
   >   
   >          On exit, if INFO = 0, the factor U or L from the Cholesky   
   >          factorization A = U**T*U or A = L*L**T.   
   > \endverbatim   
   >   
   > \param[in] LDA   
   > \verbatim   
   >          LDA is INTEGER   
   >          The leading dimension of the array A.  LDA >= max(1,N).   
   > \endverbatim   
   >   
   > \param[out] INFO   
   > \verbatim   
   >          INFO is INTEGER   
   >          = 0:  successful exit   
   >          < 0:  if INFO = -i, the i-th argument had an illegal value   
   >          > 0:  if INFO = i, the leading minor of order i is not   
   >                positive definite, and the factorization could not be   
   >                completed.   
   > \endverbatim   

    Authors:   
    ========   

   > \author Univ. of Tennessee   
   > \author Univ. of California Berkeley   
   > \author Univ. of Colorado Denver   
   > \author NAG Ltd.   

   > \date November 2011   

   > \ingroup doublePOcomputational   

    =====================================================================   
   Subroutine */ int igraphdpotrf_(char *uplo, integer *n, doublereal *a, integer *
	lda, integer *info)
{
    /* System generated locals */
    integer a_dim1, a_offset, i__1, i__2, i__3, i__4;

    /* Local variables */
    integer j, jb, nb;
    extern /* Subroutine */ int igraphdgemm_(char *, char *, integer *, integer *, 
	    integer *, doublereal *, doublereal *, integer *, doublereal *, 
	    integer *, doublereal *, doublereal *, integer *);
    extern logical igraphlsame_(char *, char *);
    extern /* Subroutine */ int igraphdtrsm_(char *, char *, char *, char *, 
	    integer *, integer *, doublereal *, doublereal *, integer *, 
	    doublereal *, integer *);
    logical upper;
    extern /* Subroutine */ int igraphdsyrk_(char *, char *, integer *, integer *, 
	    doublereal *, doublereal *, integer *, doublereal *, doublereal *,
	     integer *), igraphdpotf2_(char *, integer *, 
	    doublereal *, integer *, integer *), igraphxerbla_(char *, 
	    integer *, ftnlen);
    extern integer igraphilaenv_(integer *, char *, char *, integer *, integer *, 
	    integer *, integer *, ftnlen, ftnlen);


/*  -- LAPACK computational routine (version 3.4.0) --   
    -- LAPACK is a software package provided by Univ. of Tennessee,    --   
    -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--   
       November 2011   


    =====================================================================   


       Test the input parameters.   

       Parameter adjustments */
    a_dim1 = *lda;
    a_offset = 1 + a_dim1;
    a -= a_offset;

    /* Function Body */
    *info = 0;
    upper = igraphlsame_(uplo, "U");
    if (! upper && ! igraphlsame_(uplo, "L")) {
	*info = -1;
    } else if (*n < 0) {
	*info = -2;
    } else if (*lda < max(1,*n)) {
	*info = -4;
    }
    if (*info != 0) {
	i__1 = -(*info);
	igraphxerbla_("DPOTRF", &i__1, (ftnlen)6);
	return 0;
    }

/*     Quick return if possible */

    if (*n == 0) {
	return 0;
    }

/*     Determine the block size for this environment. */

    nb = igraphilaenv_(&c__1, "DPOTRF", uplo, n, &c_n1, &c_n1, &c_n1, (ftnlen)6, (
	    ftnlen)1);
    if (nb <= 1 || nb >= *n) {

/*        Use unblocked code. */

	igraphdpotf2_(uplo, n, &a[a_offset], lda, info);
    } else {

/*        Use blocked code. */

	if (upper) {

/*           Compute the Cholesky factorization A = U**T*U. */

	    i__1 = *n;
	    i__2 = nb;
	    for (j = 1; i__2 < 0 ? j >= i__1 : j <= i__1; j += i__2) {

/*              Update and factorize the current diagonal block and test   
                for non-positive-definiteness.   

   Computing MIN */
		i__3 = nb, i__4 = *n - j + 1;
		jb = min(i__3,i__4);
		i__3 = j - 1;
		igraphdsyrk_("Upper", "Transpose", &jb, &i__3, &c_b13, &a[j * 
			a_dim1 + 1], lda, &c_b14, &a[j + j * a_dim1], lda);
		igraphdpotf2_("Upper", &jb, &a[j + j * a_dim1], lda, info);
		if (*info != 0) {
		    goto L30;
		}
		if (j + jb <= *n) {

/*                 Compute the current block row. */

		    i__3 = *n - j - jb + 1;
		    i__4 = j - 1;
		    igraphdgemm_("Transpose", "No transpose", &jb, &i__3, &i__4, &
			    c_b13, &a[j * a_dim1 + 1], lda, &a[(j + jb) * 
			    a_dim1 + 1], lda, &c_b14, &a[j + (j + jb) * 
			    a_dim1], lda);
		    i__3 = *n - j - jb + 1;
		    igraphdtrsm_("Left", "Upper", "Transpose", "Non-unit", &jb, &
			    i__3, &c_b14, &a[j + j * a_dim1], lda, &a[j + (j 
			    + jb) * a_dim1], lda);
		}
/* L10: */
	    }

	} else {

/*           Compute the Cholesky factorization A = L*L**T. */

	    i__2 = *n;
	    i__1 = nb;
	    for (j = 1; i__1 < 0 ? j >= i__2 : j <= i__2; j += i__1) {

/*              Update and factorize the current diagonal block and test   
                for non-positive-definiteness.   

   Computing MIN */
		i__3 = nb, i__4 = *n - j + 1;
		jb = min(i__3,i__4);
		i__3 = j - 1;
		igraphdsyrk_("Lower", "No transpose", &jb, &i__3, &c_b13, &a[j + 
			a_dim1], lda, &c_b14, &a[j + j * a_dim1], lda);
		igraphdpotf2_("Lower", &jb, &a[j + j * a_dim1], lda, info);
		if (*info != 0) {
		    goto L30;
		}
		if (j + jb <= *n) {

/*                 Compute the current block column. */

		    i__3 = *n - j - jb + 1;
		    i__4 = j - 1;
		    igraphdgemm_("No transpose", "Transpose", &i__3, &jb, &i__4, &
			    c_b13, &a[j + jb + a_dim1], lda, &a[j + a_dim1], 
			    lda, &c_b14, &a[j + jb + j * a_dim1], lda);
		    i__3 = *n - j - jb + 1;
		    igraphdtrsm_("Right", "Lower", "Transpose", "Non-unit", &i__3, &
			    jb, &c_b14, &a[j + j * a_dim1], lda, &a[j + jb + 
			    j * a_dim1], lda);
		}
/* L20: */
	    }
	}
    }
    goto L40;

L30:
    *info = *info + j - 1;

L40:
    return 0;

/*     End of DPOTRF */

} /* igraphdpotrf_ */

