/*
              This file creating by running f2c
            linpack. this version dated 08/14/78
      cleve moler, university of new mexico, argonne national lab.

      Computes the inverse of a matrix given its factors and pivots
    calculated by PetscLINPACKgefa(). Performed in-place for an n by n
    dense matrix.

       Used by the sparse factorization routines in
     src/mat/impls/baij/seq

*/

#include <petscsys.h>

#undef __FUNCT__
#define __FUNCT__ "PetscLINPACKgedi"
PetscErrorCode PetscLINPACKgedi(MatScalar *a,PetscInt n,PetscInt *ipvt,MatScalar *work)
{
    PetscInt   i__2,kb,kp1,nm1,i,j,k,l,ll,kn,knp1,jn1;
    MatScalar  *aa,*ax,*ay,tmp;
    MatScalar  t;

    PetscFunctionBegin;
    --work;
    --ipvt;
    a       -= n + 1;

   /*     compute inverse(u) */

    for (k = 1; k <= n; ++k) {
        kn           = k*n;
        knp1         = kn + k;
        a[knp1]      = 1.0 / a[knp1];
        t            = -a[knp1];
        i__2         = k - 1;
        aa           = &a[1 + kn];
        for (ll=0; ll<i__2; ll++) aa[ll] *= t;
        kp1 = k + 1;
        if (n < kp1) continue;
        ax = aa;
        for (j = kp1; j <= n; ++j) {
            jn1 = j*n;
            t = a[k + jn1];
            a[k + jn1] = 0.;
            ay = &a[1 + jn1];
            for (ll=0; ll<k; ll++) {
              ay[ll] += t*ax[ll];
            }
        }
    }

   /*    form inverse(u)*inverse(l) */

    nm1 = n - 1;
    if (nm1 < 1) {
        PetscFunctionReturn(0);
    }
    for (kb = 1; kb <= nm1; ++kb) {
        k   = n - kb;
        kn  = k*n;
        kp1 = k + 1;
        aa  = a + kn;
        for (i = kp1; i <= n; ++i) {
            work[i] = aa[i];
            aa[i]   = 0.;
        }
        for (j = kp1; j <= n; ++j) {
            t = work[j];
            ax = &a[j * n + 1];
            ay = &a[kn + 1];
            for (ll=0; ll<n; ll++) {
              ay[ll] += t*ax[ll];
            }
        }
        l = ipvt[k];
        if (l != k) {
            ax = &a[kn + 1];
            ay = &a[l * n + 1];
            for (ll=0; ll<n; ll++) {
              tmp    = ax[ll];
              ax[ll] = ay[ll];
              ay[ll] = tmp;
            }
        }
    }
    PetscFunctionReturn(0);
}