/*  -- translated by f2c (version 19940927).

   You must link the resulting object file with the libraries:

	-lf2c -lm   (in that order)

*/

#include "f2c.h"

/* Table of constant values */

static integer c__3 = 3;

static integer c__1 = 1;

static doublereal c_b11 = 1.;

static doublereal c_b13 = 0.;

/* Subroutine */ int dlagge_(integer *m, integer *n, integer *kl, integer *ku,

	 doublereal *d, doublereal *a, integer *lda, integer *iseed, 

	doublereal *work, integer *info)

{

    /* System generated locals */

    integer a_dim1, a_offset, i__1, i__2, i__3;

    doublereal d__1;

    /* Builtin functions */

    double d_sign(doublereal *, doublereal *);

    /* Local variables */

    extern /* Subroutine */ int dger_(integer *, integer *, doublereal *, 

	    doublereal *, integer *, doublereal *, integer *, doublereal *, 

	    integer *);

    extern doublereal dnrm2_(integer *, doublereal *, integer *);

    static integer i, j;

    extern /* Subroutine */ int dscal_(integer *, doublereal *, doublereal *, 

	    integer *), dgemv_(char *, integer *, integer *, doublereal *, 

	    doublereal *, integer *, doublereal *, integer *, doublereal *, 

	    doublereal *, integer *);

    static doublereal wa, wb, wn;

    extern /* Subroutine */ int xerbla_(char *, integer *), dlarnv_(

	    integer *, integer *, integer *, doublereal *);

    static doublereal tau;

/*  -- LAPACK auxiliary test routine (version 2.0)   

       Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,   

       Courant Institute, Argonne National Lab, and Rice University   

       February 29, 1992   

    Purpose   

    =======   

    DLAGGE generates a real general m by n matrix A, by pre- and post-   

    multiplying a real diagonal matrix D with random orthogonal matrices: 

    A = U*D*V. The lower and upper bandwidths may then be reduced to   

    kl and ku by additional orthogonal transformations.   

    Arguments   

    =========   

    M       (input) INTEGER   

            The number of rows of the matrix A.  M >= 0.   

    N       (input) INTEGER   

            The number of columns of the matrix A.  N >= 0.   

    KL      (input) INTEGER   

            The number of nonzero subdiagonals within the band of A.   

            0 <= KL <= M-1.   

    KU      (input) INTEGER   

            The number of nonzero superdiagonals within the band of A.   

            0 <= KU <= N-1.   

    D       (input) DOUBLE PRECISION array, dimension (min(M,N))   

            The diagonal elements of the diagonal matrix D.   

    A       (output) DOUBLE PRECISION array, dimension (LDA,N)   

            The generated m by n matrix A.   

    LDA     (input) INTEGER   

            The leading dimension of the array A.  LDA >= M.   

    ISEED   (input/output) INTEGER array, dimension (4)   

            On entry, the seed of the random number generator; the array 

            elements must be between 0 and 4095, and ISEED(4) must be   

            odd.   

            On exit, the seed is updated.   

    WORK    (workspace) DOUBLE PRECISION array, dimension (M+N)   

    INFO    (output) INTEGER   

            = 0: successful exit   

            < 0: if INFO = -i, the i-th argument had an illegal value   

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

       Test the input arguments   

       Parameter adjustments */

    --d;

    a_dim1 = *lda;

    a_offset = a_dim1 + 1;

    a -= a_offset;

    --iseed;

    --work;

    /* Function Body */

    *info = 0;

    if (*m < 0) {

	*info = -1;

    } else if (*n < 0) {

	*info = -2;

    } else if (*kl < 0 || *kl > *m - 1) {

	*info = -3;

    } else if (*ku < 0 || *ku > *n - 1) {

	*info = -4;

    } else if (*lda < max(1,*m)) {

	*info = -7;

    }

    if (*info < 0) {

	i__1 = -(*info);

	xerbla_("DLAGGE", &i__1);

	return 0;

    }

/*     initialize A to diagonal matrix */

    i__1 = *n;

    for (j = 1; j <= i__1; ++j) {

	i__2 = *m;

	for (i = 1; i <= i__2; ++i) {

	    a[i + j * a_dim1] = 0.;

/* L10: */

	}

/* L20: */

    }

    i__1 = min(*m,*n);

    for (i = 1; i <= i__1; ++i) {

	a[i + i * a_dim1] = d[i];

/* L30: */

    }

/*     pre- and post-multiply A by random orthogonal matrices */

    for (i = min(*m,*n); i >= 1; --i) {

	if (i < *m) {

/*           generate random reflection */

	    i__1 = *m - i + 1;

	    dlarnv_(&c__3, &iseed[1], &i__1, &work[1]);

	    i__1 = *m - i + 1;

	    wn = dnrm2_(&i__1, &work[1], &c__1);

	    wa = d_sign(&wn, &work[1]);

	    if (wn == 0.) {

		tau = 0.;

	    } else {

		wb = work[1] + wa;

		i__1 = *m - i;

		d__1 = 1. / wb;

		dscal_(&i__1, &d__1, &work[2], &c__1);

		work[1] = 1.;

		tau = wb / wa;

	    }

/*           multiply A(i:m,i:n) by random reflection from the lef

t */

	    i__1 = *m - i + 1;

	    i__2 = *n - i + 1;

	    dgemv_("Transpose", &i__1, &i__2, &c_b11, &a[i + i * a_dim1], lda,

		     &work[1], &c__1, &c_b13, &work[*m + 1], &c__1);

	    i__1 = *m - i + 1;

	    i__2 = *n - i + 1;

	    d__1 = -tau;

	    dger_(&i__1, &i__2, &d__1, &work[1], &c__1, &work[*m + 1], &c__1, 

		    &a[i + i * a_dim1], lda);

	}

	if (i < *n) {

/*           generate random reflection */

	    i__1 = *n - i + 1;

	    dlarnv_(&c__3, &iseed[1], &i__1, &work[1]);

	    i__1 = *n - i + 1;

	    wn = dnrm2_(&i__1, &work[1], &c__1);

	    wa = d_sign(&wn, &work[1]);

	    if (wn == 0.) {

		tau = 0.;

	    } else {

		wb = work[1] + wa;

		i__1 = *n - i;

		d__1 = 1. / wb;

		dscal_(&i__1, &d__1, &work[2], &c__1);

		work[1] = 1.;

		tau = wb / wa;

	    }

/*           multiply A(i:m,i:n) by random reflection from the rig

ht */

	    i__1 = *m - i + 1;

	    i__2 = *n - i + 1;

	    dgemv_("No transpose", &i__1, &i__2, &c_b11, &a[i + i * a_dim1], 

		    lda, &work[1], &c__1, &c_b13, &work[*n + 1], &c__1);

	    i__1 = *m - i + 1;

	    i__2 = *n - i + 1;

	    d__1 = -tau;

	    dger_(&i__1, &i__2, &d__1, &work[*n + 1], &c__1, &work[1], &c__1, 

		    &a[i + i * a_dim1], lda);

	}

/* L40: */

    }

/*     Reduce number of subdiagonals to KL and number of superdiagonals   

       to KU   

   Computing MAX */

    i__2 = *m - 1 - *kl, i__3 = *n - 1 - *ku;

    i__1 = max(i__2,i__3);

    for (i = 1; i <= i__1; ++i) {

	if (*kl <= *ku) {

/*           annihilate subdiagonal elements first (necessary if K

L = 0)   

   Computing MIN */

	    i__2 = *m - 1 - *kl;

	    if (i <= min(i__2,*n)) {

/*              generate reflection to annihilate A(kl+i+1:m,i

) */

		i__2 = *m - *kl - i + 1;

		wn = dnrm2_(&i__2, &a[*kl + i + i * a_dim1], &c__1);

		wa = d_sign(&wn, &a[*kl + i + i * a_dim1]);

		if (wn == 0.) {

		    tau = 0.;

		} else {

		    wb = a[*kl + i + i * a_dim1] + wa;

		    i__2 = *m - *kl - i;

		    d__1 = 1. / wb;

		    dscal_(&i__2, &d__1, &a[*kl + i + 1 + i * a_dim1], &c__1);

		    a[*kl + i + i * a_dim1] = 1.;

		    tau = wb / wa;

		}

/*              apply reflection to A(kl+i:m,i+1:n) from the l

eft */

		i__2 = *m - *kl - i + 1;

		i__3 = *n - i;

		dgemv_("Transpose", &i__2, &i__3, &c_b11, &a[*kl + i + (i + 1)

			 * a_dim1], lda, &a[*kl + i + i * a_dim1], &c__1, &

			c_b13, &work[1], &c__1);

		i__2 = *m - *kl - i + 1;

		i__3 = *n - i;

		d__1 = -tau;

		dger_(&i__2, &i__3, &d__1, &a[*kl + i + i * a_dim1], &c__1, &

			work[1], &c__1, &a[*kl + i + (i + 1) * a_dim1], lda);

		a[*kl + i + i * a_dim1] = -wa;

	    }

/* Computing MIN */

	    i__2 = *n - 1 - *ku;

	    if (i <= min(i__2,*m)) {

/*              generate reflection to annihilate A(i,ku+i+1:n

) */

		i__2 = *n - *ku - i + 1;

		wn = dnrm2_(&i__2, &a[i + (*ku + i) * a_dim1], lda);

		wa = d_sign(&wn, &a[i + (*ku + i) * a_dim1]);

		if (wn == 0.) {

		    tau = 0.;

		} else {

		    wb = a[i + (*ku + i) * a_dim1] + wa;

		    i__2 = *n - *ku - i;

		    d__1 = 1. / wb;

		    dscal_(&i__2, &d__1, &a[i + (*ku + i + 1) * a_dim1], lda);

		    a[i + (*ku + i) * a_dim1] = 1.;

		    tau = wb / wa;

		}

/*              apply reflection to A(i+1:m,ku+i:n) from the r

ight */

		i__2 = *m - i;

		i__3 = *n - *ku - i + 1;

		dgemv_("No transpose", &i__2, &i__3, &c_b11, &a[i + 1 + (*ku 

			+ i) * a_dim1], lda, &a[i + (*ku + i) * a_dim1], lda, 

			&c_b13, &work[1], &c__1);

		i__2 = *m - i;

		i__3 = *n - *ku - i + 1;

		d__1 = -tau;

		dger_(&i__2, &i__3, &d__1, &work[1], &c__1, &a[i + (*ku + i) *

			 a_dim1], lda, &a[i + 1 + (*ku + i) * a_dim1], lda);

		a[i + (*ku + i) * a_dim1] = -wa;

	    }

	} else {

/*           annihilate superdiagonal elements first (necessary if

             KU = 0)   

   Computing MIN */

	    i__2 = *n - 1 - *ku;

	    if (i <= min(i__2,*m)) {

/*              generate reflection to annihilate A(i,ku+i+1:n

) */

		i__2 = *n - *ku - i + 1;

		wn = dnrm2_(&i__2, &a[i + (*ku + i) * a_dim1], lda);

		wa = d_sign(&wn, &a[i + (*ku + i) * a_dim1]);

		if (wn == 0.) {

		    tau = 0.;

		} else {

		    wb = a[i + (*ku + i) * a_dim1] + wa;

		    i__2 = *n - *ku - i;

		    d__1 = 1. / wb;

		    dscal_(&i__2, &d__1, &a[i + (*ku + i + 1) * a_dim1], lda);

		    a[i + (*ku + i) * a_dim1] = 1.;

		    tau = wb / wa;

		}

/*              apply reflection to A(i+1:m,ku+i:n) from the r

ight */

		i__2 = *m - i;

		i__3 = *n - *ku - i + 1;

		dgemv_("No transpose", &i__2, &i__3, &c_b11, &a[i + 1 + (*ku 

			+ i) * a_dim1], lda, &a[i + (*ku + i) * a_dim1], lda, 

			&c_b13, &work[1], &c__1);

		i__2 = *m - i;

		i__3 = *n - *ku - i + 1;

		d__1 = -tau;

		dger_(&i__2, &i__3, &d__1, &work[1], &c__1, &a[i + (*ku + i) *

			 a_dim1], lda, &a[i + 1 + (*ku + i) * a_dim1], lda);

		a[i + (*ku + i) * a_dim1] = -wa;

	    }

/* Computing MIN */

	    i__2 = *m - 1 - *kl;

	    if (i <= min(i__2,*n)) {

/*              generate reflection to annihilate A(kl+i+1:m,i

) */

		i__2 = *m - *kl - i + 1;

		wn = dnrm2_(&i__2, &a[*kl + i + i * a_dim1], &c__1);

		wa = d_sign(&wn, &a[*kl + i + i * a_dim1]);

		if (wn == 0.) {

		    tau = 0.;

		} else {

		    wb = a[*kl + i + i * a_dim1] + wa;

		    i__2 = *m - *kl - i;

		    d__1 = 1. / wb;

		    dscal_(&i__2, &d__1, &a[*kl + i + 1 + i * a_dim1], &c__1);

		    a[*kl + i + i * a_dim1] = 1.;

		    tau = wb / wa;

		}

/*              apply reflection to A(kl+i:m,i+1:n) from the l

eft */

		i__2 = *m - *kl - i + 1;

		i__3 = *n - i;

		dgemv_("Transpose", &i__2, &i__3, &c_b11, &a[*kl + i + (i + 1)

			 * a_dim1], lda, &a[*kl + i + i * a_dim1], &c__1, &

			c_b13, &work[1], &c__1);

		i__2 = *m - *kl - i + 1;

		i__3 = *n - i;

		d__1 = -tau;

		dger_(&i__2, &i__3, &d__1, &a[*kl + i + i * a_dim1], &c__1, &

			work[1], &c__1, &a[*kl + i + (i + 1) * a_dim1], lda);

		a[*kl + i + i * a_dim1] = -wa;

	    }

	}

	i__2 = *m;

	for (j = *kl + i + 1; j <= i__2; ++j) {

	    a[j + i * a_dim1] = 0.;

/* L50: */

	}

	i__2 = *n;

	for (j = *ku + i + 1; j <= i__2; ++j) {

	    a[i + j * a_dim1] = 0.;

/* L60: */

	}

/* L70: */

    }

    return 0;

/*     End of DLAGGE */

} /* dlagge_ */