cpptri.c

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/* cpptri.f -- translated by f2c (version 20061008).
   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"
#include "blaswrap.h"

/* Table of constant values */

static real c_b8 = 1.f;
static integer c__1 = 1;

/* Subroutine */ int cpptri_(char *uplo, integer *n, complex *ap, integer *
        info)
{
    /* System generated locals */
    integer i__1, i__2, i__3;
    real r__1;
    complex q__1;

    /* Local variables */
    integer j, jc, jj;
    real ajj;
    integer jjn;
    extern /* Subroutine */ int chpr_(char *, integer *, real *, complex *, 
            integer *, complex *);
    extern /* Complex */ VOID cdotc_(complex *, integer *, complex *, integer 
            *, complex *, integer *);
    extern logical lsame_(char *, char *);
    extern /* Subroutine */ int ctpmv_(char *, char *, char *, integer *, 
            complex *, complex *, integer *);
    logical upper;
    extern /* Subroutine */ int csscal_(integer *, real *, complex *, integer 
            *), xerbla_(char *, integer *), ctptri_(char *, char *, 
            integer *, complex *, integer *);


/*  -- LAPACK routine (version 3.2) -- */
/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/*     November 2006 */

/*     .. Scalar Arguments .. */
/*     .. */
/*     .. Array Arguments .. */
/*     .. */

/*  Purpose */
/*  ======= */

/*  CPPTRI 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 CPPTRF. */

/*  Arguments */
/*  ========= */

/*  UPLO    (input) CHARACTER*1 */
/*          = 'U':  Upper triangular factor is stored in AP; */
/*          = 'L':  Lower triangular factor is stored in AP. */

/*  N       (input) INTEGER */
/*          The order of the matrix A.  N >= 0. */

/*  AP      (input/output) COMPLEX array, dimension (N*(N+1)/2) */
/*          On entry, the triangular factor U or L from the Cholesky */
/*          factorization A = U**H*U or A = L*L**H, packed columnwise as */
/*          a linear array.  The j-th column of U or L is stored in the */
/*          array AP as follows: */
/*          if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j; */
/*          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n. */

/*          On exit, the upper or lower triangle of the (Hermitian) */
/*          inverse of A, overwriting the input factor U or L. */

/*  INFO    (output) INTEGER */
/*          = 0:  successful exit */
/*          < 0:  if INFO = -i, the i-th argument had an illegal value */
/*          > 0:  if INFO = i, the (i,i) element of the factor U or L is */
/*                zero, and the inverse could not be computed. */

/*  ===================================================================== */

/*     .. Parameters .. */
/*     .. */
/*     .. Local Scalars .. */
/*     .. */
/*     .. External Functions .. */
/*     .. */
/*     .. External Subroutines .. */
/*     .. */
/*     .. Intrinsic Functions .. */
/*     .. */
/*     .. Executable Statements .. */

/*     Test the input parameters. */

    /* Parameter adjustments */
    --ap;

    /* Function Body */
    *info = 0;
    upper = lsame_(uplo, "U");
    if (! upper && ! lsame_(uplo, "L")) {
        *info = -1;
    } else if (*n < 0) {
        *info = -2;
    }
    if (*info != 0) {
        i__1 = -(*info);
        xerbla_("CPPTRI", &i__1);
        return 0;
    }

/*     Quick return if possible */

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

/*     Invert the triangular Cholesky factor U or L. */

    ctptri_(uplo, "Non-unit", n, &ap[1], info);
    if (*info > 0) {
        return 0;
    }
    if (upper) {

/*        Compute the product inv(U) * inv(U)'. */

        jj = 0;
        i__1 = *n;
        for (j = 1; j <= i__1; ++j) {
            jc = jj + 1;
            jj += j;
            if (j > 1) {
                i__2 = j - 1;
                chpr_("Upper", &i__2, &c_b8, &ap[jc], &c__1, &ap[1]);
            }
            i__2 = jj;
            ajj = ap[i__2].r;
            csscal_(&j, &ajj, &ap[jc], &c__1);
/* L10: */
        }

    } else {

/*        Compute the product inv(L)' * inv(L). */

        jj = 1;
        i__1 = *n;
        for (j = 1; j <= i__1; ++j) {
            jjn = jj + *n - j + 1;
            i__2 = jj;
            i__3 = *n - j + 1;
            cdotc_(&q__1, &i__3, &ap[jj], &c__1, &ap[jj], &c__1);
            r__1 = q__1.r;
            ap[i__2].r = r__1, ap[i__2].i = 0.f;
            if (j < *n) {
                i__2 = *n - j;
                ctpmv_("Lower", "Conjugate transpose", "Non-unit", &i__2, &ap[
                        jjn], &ap[jj + 1], &c__1);
            }
            jj = jjn;
/* L20: */
        }
    }

    return 0;

/*     End of CPPTRI */

} /* cpptri_ */