/* Subroutine */ int zunmql_(char *side, char *trans, integer *m, integer *n,
integer *k, doublecomplex *a, integer *lda, doublecomplex *tau,
doublecomplex *c__, integer *ldc, doublecomplex *work, integer *lwork,
integer *info)
{
/* -- LAPACK routine (version 3.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
June 30, 1999
Purpose
=======
ZUNMQL overwrites the general complex M-by-N matrix C with
SIDE = 'L' SIDE = 'R'
TRANS = 'N': Q * C C * Q
TRANS = 'C': Q**H * C C * Q**H
where Q is a complex unitary matrix defined as the product of k
elementary reflectors
Q = H(k) . . . H(2) H(1)
as returned by ZGEQLF. Q is of order M if SIDE = 'L' and of order N
if SIDE = 'R'.
Arguments
=========
SIDE (input) CHARACTER*1
= 'L': apply Q or Q**H from the Left;
= 'R': apply Q or Q**H from the Right.
TRANS (input) CHARACTER*1
= 'N': No transpose, apply Q;
= 'C': Transpose, apply Q**H.
M (input) INTEGER
The number of rows of the matrix C. M >= 0.
N (input) INTEGER
The number of columns of the matrix C. N >= 0.
K (input) INTEGER
The number of elementary reflectors whose product defines
the matrix Q.
If SIDE = 'L', M >= K >= 0;
if SIDE = 'R', N >= K >= 0.
A (input) COMPLEX*16 array, dimension (LDA,K)
The i-th column must contain the vector which defines the
elementary reflector H(i), for i = 1,2,...,k, as returned by
ZGEQLF in the last k columns of its array argument A.
A is modified by the routine but restored on exit.
LDA (input) INTEGER
The leading dimension of the array A.
If SIDE = 'L', LDA >= max(1,M);
if SIDE = 'R', LDA >= max(1,N).
TAU (input) COMPLEX*16 array, dimension (K)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by ZGEQLF.
C (input/output) COMPLEX*16 array, dimension (LDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
LDC (input) INTEGER
The leading dimension of the array C. LDC >= max(1,M).
WORK (workspace/output) COMPLEX*16 array, dimension (LWORK)
On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
LWORK (input) INTEGER
The dimension of the array WORK.
If SIDE = 'L', LWORK >= max(1,N);
if SIDE = 'R', LWORK >= max(1,M).
For optimum performance LWORK >= N*NB if SIDE = 'L', and
LWORK >= M*NB if SIDE = 'R', where NB is the optimal
blocksize.
If LWORK = -1, then a workspace query is assumed; the routine
only calculates the optimal size of the WORK array, returns
this value as the first entry of the WORK array, and no error
message related to LWORK is issued by XERBLA.
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
=====================================================================
Test the input arguments
Parameter adjustments */
/* Table of constant values */
static integer c__1 = 1;
static integer c_n1 = -1;
static integer c__2 = 2;
static integer c__65 = 65;
/* System generated locals */
address a__1[2];
integer a_dim1, a_offset, c_dim1, c_offset, i__1, i__2, i__3[2], i__4,
i__5;
char ch__1[2];
/* Builtin functions
Subroutine */ int s_cat(char *, char **, integer *, integer *, ftnlen);
/* Local variables */
static logical left;
static integer i__;
static doublecomplex t[4160] /* was [65][64] */;
extern logical lsame_(char *, char *);
static integer nbmin, iinfo, i1, i2, i3, ib, nb, mi, ni;
extern /* Subroutine */ int zunm2l_(char *, char *, integer *, integer *,
integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *);
static integer nq, nw;
extern /* Subroutine */ int xerbla_(char *, integer *);
extern integer ilaenv_(integer *, char *, char *, integer *, integer *,
integer *, integer *, ftnlen, ftnlen);
extern /* Subroutine */ int zlarfb_(char *, char *, char *, char *,
integer *, integer *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *);
static logical notran;
static integer ldwork;
extern /* Subroutine */ int zlarft_(char *, char *, integer *, integer *,
doublecomplex *, integer *, doublecomplex *, doublecomplex *,
integer *);
static integer lwkopt;
static logical lquery;
static integer iws;
#define a_subscr(a_1,a_2) (a_2)*a_dim1 + a_1
#define a_ref(a_1,a_2) a[a_subscr(a_1,a_2)]
a_dim1 = *lda;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
--tau;
c_dim1 = *ldc;
c_offset = 1 + c_dim1 * 1;
c__ -= c_offset;
--work;
/* Function Body */
*info = 0;
left = lsame_(side, "L");
notran = lsame_(trans, "N");
lquery = *lwork == -1;
/* NQ is the order of Q and NW is the minimum dimension of WORK */
if (left) {
nq = *m;
nw = *n;
} else {
nq = *n;
nw = *m;
}
if (! left && ! lsame_(side, "R")) {
*info = -1;
} else if (! notran && ! lsame_(trans, "C")) {
*info = -2;
} else if (*m < 0) {
*info = -3;
} else if (*n < 0) {
*info = -4;
} else if (*k < 0 || *k > nq) {
*info = -5;
} else if (*lda < max(1,nq)) {
*info = -7;
} else if (*ldc < max(1,*m)) {
*info = -10;
} else if (*lwork < max(1,nw) && ! lquery) {
*info = -12;
}
if (*info == 0) {
/* Determine the block size. NB may be at most NBMAX, where NBMAX
is used to define the local array T.
Computing MIN
Writing concatenation */
i__3[0] = 1, a__1[0] = side;
i__3[1] = 1, a__1[1] = trans;
s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2);
i__1 = 64, i__2 = ilaenv_(&c__1, "ZUNMQL", ch__1, m, n, k, &c_n1, (
ftnlen)6, (ftnlen)2);
nb = min(i__1,i__2);
lwkopt = max(1,nw) * nb;
work[1].r = (doublereal) lwkopt, work[1].i = 0.;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("ZUNMQL", &i__1);
return 0;
} else if (lquery) {
return 0;
}
/* Quick return if possible */
if (*m == 0 || *n == 0 || *k == 0) {
work[1].r = 1., work[1].i = 0.;
return 0;
}
nbmin = 2;
ldwork = nw;
if (nb > 1 && nb < *k) {
iws = nw * nb;
if (*lwork < iws) {
nb = *lwork / ldwork;
/* Computing MAX
Writing concatenation */
i__3[0] = 1, a__1[0] = side;
i__3[1] = 1, a__1[1] = trans;
s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2);
i__1 = 2, i__2 = ilaenv_(&c__2, "ZUNMQL", ch__1, m, n, k, &c_n1, (
ftnlen)6, (ftnlen)2);
nbmin = max(i__1,i__2);
}
} else {
iws = nw;
}
if (nb < nbmin || nb >= *k) {
/* Use unblocked code */
zunm2l_(side, trans, m, n, k, &a[a_offset], lda, &tau[1], &c__[
c_offset], ldc, &work[1], &iinfo);
} else {
/* Use blocked code */
if (left && notran || ! left && ! notran) {
i1 = 1;
i2 = *k;
i3 = nb;
} else {
i1 = (*k - 1) / nb * nb + 1;
i2 = 1;
i3 = -nb;
}
if (left) {
ni = *n;
} else {
mi = *m;
}
i__1 = i2;
i__2 = i3;
for (i__ = i1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) {
/* Computing MIN */
i__4 = nb, i__5 = *k - i__ + 1;
ib = min(i__4,i__5);
/* Form the triangular factor of the block reflector
H = H(i+ib-1) . . . H(i+1) H(i) */
i__4 = nq - *k + i__ + ib - 1;
zlarft_("Backward", "Columnwise", &i__4, &ib, &a_ref(1, i__), lda,
&tau[i__], t, &c__65);
if (left) {
/* H or H' is applied to C(1:m-k+i+ib-1,1:n) */
mi = *m - *k + i__ + ib - 1;
} else {
/* H or H' is applied to C(1:m,1:n-k+i+ib-1) */
ni = *n - *k + i__ + ib - 1;
}
/* Apply H or H' */
zlarfb_(side, trans, "Backward", "Columnwise", &mi, &ni, &ib, &
a_ref(1, i__), lda, t, &c__65, &c__[c_offset], ldc, &work[
1], &ldwork);
/* L10: */
}
}
work[1].r = (doublereal) lwkopt, work[1].i = 0.;
return 0;
/* End of ZUNMQL */
} /* zunmql_ */
/* Subroutine */ int zhet21_(integer *itype, char *uplo, integer *n, integer *
kband, doublecomplex *a, integer *lda, doublereal *d__, doublereal *e,
doublecomplex *u, integer *ldu, doublecomplex *v, integer *ldv,
doublecomplex *tau, doublecomplex *work, doublereal *rwork,
doublereal *result)
{
/* System generated locals */
integer a_dim1, a_offset, u_dim1, u_offset, v_dim1, v_offset, i__1, i__2,
i__3, i__4, i__5, i__6;
doublereal d__1, d__2;
doublecomplex z__1, z__2, z__3;
/* Local variables */
integer j, jr;
doublereal ulp;
integer jcol;
doublereal unfl;
extern /* Subroutine */ int zher_(char *, integer *, doublereal *,
doublecomplex *, integer *, doublecomplex *, integer *);
integer jrow;
extern /* Subroutine */ int zher2_(char *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *);
extern logical lsame_(char *, char *);
integer iinfo;
doublereal anorm;
extern /* Subroutine */ int zgemm_(char *, char *, integer *, integer *,
integer *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, doublecomplex *,
integer *);
char cuplo[1];
doublecomplex vsave;
logical lower;
doublereal wnorm;
extern /* Subroutine */ int zunm2l_(char *, char *, integer *, integer *,
integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *);
extern doublereal dlamch_(char *);
extern /* Subroutine */ int zunm2r_(char *, char *, integer *, integer *,
integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *);
extern doublereal zlange_(char *, integer *, integer *, doublecomplex *,
integer *, doublereal *), zlanhe_(char *, char *, integer
*, doublecomplex *, integer *, doublereal *);
extern /* Subroutine */ int zlacpy_(char *, integer *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *),
zlaset_(char *, integer *, integer *, doublecomplex *,
doublecomplex *, doublecomplex *, integer *), zlarfy_(
char *, integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *);
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZHET21 generally checks a decomposition of the form */
/* A = U S U* */
/* where * means conjugate transpose, A is hermitian, U is unitary, and */
/* S is diagonal (if KBAND=0) or (real) symmetric tridiagonal (if */
/* KBAND=1). */
/* If ITYPE=1, then U is represented as a dense matrix; otherwise U is */
/* expressed as a product of Householder transformations, whose vectors */
/* are stored in the array "V" and whose scaling constants are in "TAU". */
/* We shall use the letter "V" to refer to the product of Householder */
/* transformations (which should be equal to U). */
/* Specifically, if ITYPE=1, then: */
/* RESULT(1) = | A - U S U* | / ( |A| n ulp ) *and* */
/* RESULT(2) = | I - UU* | / ( n ulp ) */
/* If ITYPE=2, then: */
/* RESULT(1) = | A - V S V* | / ( |A| n ulp ) */
/* If ITYPE=3, then: */
/* RESULT(1) = | I - UV* | / ( n ulp ) */
/* For ITYPE > 1, the transformation U is expressed as a product */
/* V = H(1)...H(n-2), where H(j) = I - tau(j) v(j) v(j)* and each */
/* vector v(j) has its first j elements 0 and the remaining n-j elements */
/* stored in V(j+1:n,j). */
/* Arguments */
/* ========= */
/* ITYPE (input) INTEGER */
/* Specifies the type of tests to be performed. */
/* 1: U expressed as a dense unitary matrix: */
/* RESULT(1) = | A - U S U* | / ( |A| n ulp ) *and* */
/* RESULT(2) = | I - UU* | / ( n ulp ) */
/* 2: U expressed as a product V of Housholder transformations: */
/* RESULT(1) = | A - V S V* | / ( |A| n ulp ) */
/* 3: U expressed both as a dense unitary matrix and */
/* as a product of Housholder transformations: */
/* RESULT(1) = | I - UV* | / ( n ulp ) */
/* UPLO (input) CHARACTER */
/* If UPLO='U', the upper triangle of A and V will be used and */
/* the (strictly) lower triangle will not be referenced. */
/* If UPLO='L', the lower triangle of A and V will be used and */
/* the (strictly) upper triangle will not be referenced. */
/* N (input) INTEGER */
/* The size of the matrix. If it is zero, ZHET21 does nothing. */
/* It must be at least zero. */
/* KBAND (input) INTEGER */
/* The bandwidth of the matrix. It may only be zero or one. */
/* If zero, then S is diagonal, and E is not referenced. If */
/* one, then S is symmetric tri-diagonal. */
/* A (input) COMPLEX*16 array, dimension (LDA, N) */
/* The original (unfactored) matrix. It is assumed to be */
/* hermitian, and only the upper (UPLO='U') or only the lower */
/* (UPLO='L') will be referenced. */
/* LDA (input) INTEGER */
/* The leading dimension of A. It must be at least 1 */
/* and at least N. */
/* D (input) DOUBLE PRECISION array, dimension (N) */
/* The diagonal of the (symmetric tri-) diagonal matrix. */
/* E (input) DOUBLE PRECISION array, dimension (N-1) */
/* The off-diagonal of the (symmetric tri-) diagonal matrix. */
/* E(1) is the (1,2) and (2,1) element, E(2) is the (2,3) and */
/* (3,2) element, etc. */
/* Not referenced if KBAND=0. */
/* U (input) COMPLEX*16 array, dimension (LDU, N) */
/* If ITYPE=1 or 3, this contains the unitary matrix in */
/* the decomposition, expressed as a dense matrix. If ITYPE=2, */
/* then it is not referenced. */
/* LDU (input) INTEGER */
/* The leading dimension of U. LDU must be at least N and */
/* at least 1. */
/* V (input) COMPLEX*16 array, dimension (LDV, N) */
/* If ITYPE=2 or 3, the columns of this array contain the */
/* Householder vectors used to describe the unitary matrix */
/* in the decomposition. If UPLO='L', then the vectors are in */
/* the lower triangle, if UPLO='U', then in the upper */
/* triangle. */
/* *NOTE* If ITYPE=2 or 3, V is modified and restored. The */
/* subdiagonal (if UPLO='L') or the superdiagonal (if UPLO='U') */
/* is set to one, and later reset to its original value, during */
/* the course of the calculation. */
/* If ITYPE=1, then it is neither referenced nor modified. */
/* LDV (input) INTEGER */
/* The leading dimension of V. LDV must be at least N and */
/* at least 1. */
/* TAU (input) COMPLEX*16 array, dimension (N) */
/* If ITYPE >= 2, then TAU(j) is the scalar factor of */
/* v(j) v(j)* in the Householder transformation H(j) of */
/* the product U = H(1)...H(n-2) */
/* If ITYPE < 2, then TAU is not referenced. */
/* WORK (workspace) COMPLEX*16 array, dimension (2*N**2) */
/* RWORK (workspace) DOUBLE PRECISION array, dimension (N) */
/* RESULT (output) DOUBLE PRECISION array, dimension (2) */
/* The values computed by the two tests described above. The */
/* values are currently limited to 1/ulp, to avoid overflow. */
/* RESULT(1) is always modified. RESULT(2) is modified only */
/* if ITYPE=1. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
--d__;
--e;
u_dim1 = *ldu;
u_offset = 1 + u_dim1;
u -= u_offset;
v_dim1 = *ldv;
v_offset = 1 + v_dim1;
v -= v_offset;
--tau;
--work;
--rwork;
--result;
/* Function Body */
result[1] = 0.;
if (*itype == 1) {
result[2] = 0.;
}
if (*n <= 0) {
return 0;
}
if (lsame_(uplo, "U")) {
lower = FALSE_;
*(unsigned char *)cuplo = 'U';
} else {
lower = TRUE_;
*(unsigned char *)cuplo = 'L';
}
unfl = dlamch_("Safe minimum");
ulp = dlamch_("Epsilon") * dlamch_("Base");
/* Some Error Checks */
if (*itype < 1 || *itype > 3) {
result[1] = 10. / ulp;
return 0;
}
/* Do Test 1 */
/* Norm of A: */
if (*itype == 3) {
anorm = 1.;
} else {
/* Computing MAX */
d__1 = zlanhe_("1", cuplo, n, &a[a_offset], lda, &rwork[1]);
anorm = max(d__1,unfl);
}
/* Compute error matrix: */
if (*itype == 1) {
/* ITYPE=1: error = A - U S U* */
zlaset_("Full", n, n, &c_b1, &c_b1, &work[1], n);
zlacpy_(cuplo, n, n, &a[a_offset], lda, &work[1], n);
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
d__1 = -d__[j];
zher_(cuplo, n, &d__1, &u[j * u_dim1 + 1], &c__1, &work[1], n);
/* L10: */
}
if (*n > 1 && *kband == 1) {
i__1 = *n - 1;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
z__2.r = e[i__2], z__2.i = 0.;
z__1.r = -z__2.r, z__1.i = -z__2.i;
zher2_(cuplo, n, &z__1, &u[j * u_dim1 + 1], &c__1, &u[(j - 1)
* u_dim1 + 1], &c__1, &work[1], n);
/* L20: */
}
}
wnorm = zlanhe_("1", cuplo, n, &work[1], n, &rwork[1]);
} else if (*itype == 2) {
/* ITYPE=2: error = V S V* - A */
zlaset_("Full", n, n, &c_b1, &c_b1, &work[1], n);
if (lower) {
/* Computing 2nd power */
i__2 = *n;
i__1 = i__2 * i__2;
i__3 = *n;
work[i__1].r = d__[i__3], work[i__1].i = 0.;
for (j = *n - 1; j >= 1; --j) {
if (*kband == 1) {
i__1 = (*n + 1) * (j - 1) + 2;
i__2 = j;
z__2.r = 1. - tau[i__2].r, z__2.i = 0. - tau[i__2].i;
i__3 = j;
z__1.r = e[i__3] * z__2.r, z__1.i = e[i__3] * z__2.i;
work[i__1].r = z__1.r, work[i__1].i = z__1.i;
i__1 = *n;
for (jr = j + 2; jr <= i__1; ++jr) {
i__2 = (j - 1) * *n + jr;
i__3 = j;
z__3.r = -tau[i__3].r, z__3.i = -tau[i__3].i;
i__4 = j;
z__2.r = e[i__4] * z__3.r, z__2.i = e[i__4] * z__3.i;
i__5 = jr + j * v_dim1;
z__1.r = z__2.r * v[i__5].r - z__2.i * v[i__5].i,
z__1.i = z__2.r * v[i__5].i + z__2.i * v[i__5]
.r;
work[i__2].r = z__1.r, work[i__2].i = z__1.i;
/* L30: */
}
}
i__1 = j + 1 + j * v_dim1;
vsave.r = v[i__1].r, vsave.i = v[i__1].i;
i__1 = j + 1 + j * v_dim1;
v[i__1].r = 1., v[i__1].i = 0.;
i__1 = *n - j;
/* Computing 2nd power */
i__2 = *n;
zlarfy_("L", &i__1, &v[j + 1 + j * v_dim1], &c__1, &tau[j], &
work[(*n + 1) * j + 1], n, &work[i__2 * i__2 + 1]);
i__1 = j + 1 + j * v_dim1;
v[i__1].r = vsave.r, v[i__1].i = vsave.i;
i__1 = (*n + 1) * (j - 1) + 1;
i__2 = j;
work[i__1].r = d__[i__2], work[i__1].i = 0.;
/* L40: */
}
} else {
work[1].r = d__[1], work[1].i = 0.;
i__1 = *n - 1;
for (j = 1; j <= i__1; ++j) {
if (*kband == 1) {
i__2 = (*n + 1) * j;
i__3 = j;
z__2.r = 1. - tau[i__3].r, z__2.i = 0. - tau[i__3].i;
i__4 = j;
z__1.r = e[i__4] * z__2.r, z__1.i = e[i__4] * z__2.i;
work[i__2].r = z__1.r, work[i__2].i = z__1.i;
i__2 = j - 1;
for (jr = 1; jr <= i__2; ++jr) {
i__3 = j * *n + jr;
i__4 = j;
z__3.r = -tau[i__4].r, z__3.i = -tau[i__4].i;
i__5 = j;
z__2.r = e[i__5] * z__3.r, z__2.i = e[i__5] * z__3.i;
i__6 = jr + (j + 1) * v_dim1;
z__1.r = z__2.r * v[i__6].r - z__2.i * v[i__6].i,
z__1.i = z__2.r * v[i__6].i + z__2.i * v[i__6]
.r;
work[i__3].r = z__1.r, work[i__3].i = z__1.i;
/* L50: */
}
}
i__2 = j + (j + 1) * v_dim1;
vsave.r = v[i__2].r, vsave.i = v[i__2].i;
i__2 = j + (j + 1) * v_dim1;
v[i__2].r = 1., v[i__2].i = 0.;
/* Computing 2nd power */
i__2 = *n;
zlarfy_("U", &j, &v[(j + 1) * v_dim1 + 1], &c__1, &tau[j], &
work[1], n, &work[i__2 * i__2 + 1]);
i__2 = j + (j + 1) * v_dim1;
v[i__2].r = vsave.r, v[i__2].i = vsave.i;
i__2 = (*n + 1) * j + 1;
i__3 = j + 1;
work[i__2].r = d__[i__3], work[i__2].i = 0.;
/* L60: */
}
}
i__1 = *n;
for (jcol = 1; jcol <= i__1; ++jcol) {
if (lower) {
i__2 = *n;
for (jrow = jcol; jrow <= i__2; ++jrow) {
i__3 = jrow + *n * (jcol - 1);
i__4 = jrow + *n * (jcol - 1);
i__5 = jrow + jcol * a_dim1;
z__1.r = work[i__4].r - a[i__5].r, z__1.i = work[i__4].i
- a[i__5].i;
work[i__3].r = z__1.r, work[i__3].i = z__1.i;
/* L70: */
}
} else {
i__2 = jcol;
for (jrow = 1; jrow <= i__2; ++jrow) {
i__3 = jrow + *n * (jcol - 1);
i__4 = jrow + *n * (jcol - 1);
i__5 = jrow + jcol * a_dim1;
z__1.r = work[i__4].r - a[i__5].r, z__1.i = work[i__4].i
- a[i__5].i;
work[i__3].r = z__1.r, work[i__3].i = z__1.i;
/* L80: */
}
}
/* L90: */
}
wnorm = zlanhe_("1", cuplo, n, &work[1], n, &rwork[1]);
} else if (*itype == 3) {
/* ITYPE=3: error = U V* - I */
if (*n < 2) {
return 0;
}
zlacpy_(" ", n, n, &u[u_offset], ldu, &work[1], n);
if (lower) {
i__1 = *n - 1;
i__2 = *n - 1;
/* Computing 2nd power */
i__3 = *n;
zunm2r_("R", "C", n, &i__1, &i__2, &v[v_dim1 + 2], ldv, &tau[1], &
work[*n + 1], n, &work[i__3 * i__3 + 1], &iinfo);
} else {
i__1 = *n - 1;
i__2 = *n - 1;
/* Computing 2nd power */
i__3 = *n;
zunm2l_("R", "C", n, &i__1, &i__2, &v[(v_dim1 << 1) + 1], ldv, &
tau[1], &work[1], n, &work[i__3 * i__3 + 1], &iinfo);
}
if (iinfo != 0) {
result[1] = 10. / ulp;
return 0;
}
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = (*n + 1) * (j - 1) + 1;
i__3 = (*n + 1) * (j - 1) + 1;
z__1.r = work[i__3].r - 1., z__1.i = work[i__3].i - 0.;
work[i__2].r = z__1.r, work[i__2].i = z__1.i;
/* L100: */
}
wnorm = zlange_("1", n, n, &work[1], n, &rwork[1]);
}
if (anorm > wnorm) {
result[1] = wnorm / anorm / (*n * ulp);
} else {
if (anorm < 1.) {
/* Computing MIN */
d__1 = wnorm, d__2 = *n * anorm;
result[1] = min(d__1,d__2) / anorm / (*n * ulp);
} else {
/* Computing MIN */
d__1 = wnorm / anorm, d__2 = (doublereal) (*n);
result[1] = min(d__1,d__2) / (*n * ulp);
}
}
/* Do Test 2 */
/* Compute UU* - I */
if (*itype == 1) {
zgemm_("N", "C", n, n, n, &c_b2, &u[u_offset], ldu, &u[u_offset], ldu,
&c_b1, &work[1], n);
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = (*n + 1) * (j - 1) + 1;
i__3 = (*n + 1) * (j - 1) + 1;
z__1.r = work[i__3].r - 1., z__1.i = work[i__3].i - 0.;
work[i__2].r = z__1.r, work[i__2].i = z__1.i;
/* L110: */
}
/* Computing MIN */
d__1 = zlange_("1", n, n, &work[1], n, &rwork[1]), d__2 = (
doublereal) (*n);
result[2] = min(d__1,d__2) / (*n * ulp);
}
return 0;
/* End of ZHET21 */
} /* zhet21_ */
/* Subroutine */ int zerrql_(char *path, integer *nunit)
{
/* System generated locals */
integer i__1;
doublereal d__1, d__2;
doublecomplex z__1;
/* Local variables */
doublecomplex a[4] /* was [2][2] */, b[2];
integer i__, j;
doublecomplex w[2], x[2], af[4] /* was [2][2] */;
integer info;
/* Fortran I/O blocks */
static cilist io___1 = { 0, 0, 0, 0, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZERRQL tests the error exits for the COMPLEX*16 routines */
/* that use the QL decomposition of a general matrix. */
/* Arguments */
/* ========= */
/* PATH (input) CHARACTER*3 */
/* The LAPACK path name for the routines to be tested. */
/* NUNIT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
infoc_1.nout = *nunit;
io___1.ciunit = infoc_1.nout;
s_wsle(&io___1);
e_wsle();
/* Set the variables to innocuous values. */
for (j = 1; j <= 2; ++j) {
for (i__ = 1; i__ <= 2; ++i__) {
i__1 = i__ + (j << 1) - 3;
d__1 = 1. / (doublereal) (i__ + j);
d__2 = -1. / (doublereal) (i__ + j);
z__1.r = d__1, z__1.i = d__2;
a[i__1].r = z__1.r, a[i__1].i = z__1.i;
i__1 = i__ + (j << 1) - 3;
d__1 = 1. / (doublereal) (i__ + j);
d__2 = -1. / (doublereal) (i__ + j);
z__1.r = d__1, z__1.i = d__2;
af[i__1].r = z__1.r, af[i__1].i = z__1.i;
/* L10: */
}
i__1 = j - 1;
b[i__1].r = 0., b[i__1].i = 0.;
i__1 = j - 1;
w[i__1].r = 0., w[i__1].i = 0.;
i__1 = j - 1;
x[i__1].r = 0., x[i__1].i = 0.;
/* L20: */
}
infoc_1.ok = TRUE_;
/* Error exits for QL factorization */
/* ZGEQLF */
s_copy(srnamc_1.srnamt, "ZGEQLF", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
zgeqlf_(&c_n1, &c__0, a, &c__1, b, w, &c__1, &info);
chkxer_("ZGEQLF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zgeqlf_(&c__0, &c_n1, a, &c__1, b, w, &c__1, &info);
chkxer_("ZGEQLF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zgeqlf_(&c__2, &c__1, a, &c__1, b, w, &c__1, &info);
chkxer_("ZGEQLF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
zgeqlf_(&c__1, &c__2, a, &c__1, b, w, &c__1, &info);
chkxer_("ZGEQLF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZGEQL2 */
s_copy(srnamc_1.srnamt, "ZGEQL2", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
zgeql2_(&c_n1, &c__0, a, &c__1, b, w, &info);
chkxer_("ZGEQL2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zgeql2_(&c__0, &c_n1, a, &c__1, b, w, &info);
chkxer_("ZGEQL2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zgeql2_(&c__2, &c__1, a, &c__1, b, w, &info);
chkxer_("ZGEQL2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZGEQLS */
s_copy(srnamc_1.srnamt, "ZGEQLS", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
zgeqls_(&c_n1, &c__0, &c__0, a, &c__1, x, b, &c__1, w, &c__1, &info);
chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zgeqls_(&c__0, &c_n1, &c__0, a, &c__1, x, b, &c__1, w, &c__1, &info);
chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zgeqls_(&c__1, &c__2, &c__0, a, &c__1, x, b, &c__1, w, &c__1, &info);
chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zgeqls_(&c__0, &c__0, &c_n1, a, &c__1, x, b, &c__1, w, &c__1, &info);
chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zgeqls_(&c__2, &c__1, &c__0, a, &c__1, x, b, &c__2, w, &c__1, &info);
chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
zgeqls_(&c__2, &c__1, &c__0, a, &c__2, x, b, &c__1, w, &c__1, &info);
chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 10;
zgeqls_(&c__1, &c__1, &c__2, a, &c__1, x, b, &c__1, w, &c__1, &info);
chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZUNGQL */
s_copy(srnamc_1.srnamt, "ZUNGQL", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
zungql_(&c_n1, &c__0, &c__0, a, &c__1, x, w, &c__1, &info);
chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zungql_(&c__0, &c_n1, &c__0, a, &c__1, x, w, &c__1, &info);
chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zungql_(&c__1, &c__2, &c__0, a, &c__1, x, w, &c__2, &info);
chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zungql_(&c__0, &c__0, &c_n1, a, &c__1, x, w, &c__1, &info);
chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zungql_(&c__1, &c__1, &c__2, a, &c__1, x, w, &c__1, &info);
chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zungql_(&c__2, &c__1, &c__0, a, &c__1, x, w, &c__1, &info);
chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
zungql_(&c__2, &c__2, &c__0, a, &c__2, x, w, &c__1, &info);
chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZUNG2L */
s_copy(srnamc_1.srnamt, "ZUNG2L", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
zung2l_(&c_n1, &c__0, &c__0, a, &c__1, x, w, &info);
chkxer_("ZUNG2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zung2l_(&c__0, &c_n1, &c__0, a, &c__1, x, w, &info);
chkxer_("ZUNG2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zung2l_(&c__1, &c__2, &c__0, a, &c__1, x, w, &info);
chkxer_("ZUNG2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zung2l_(&c__0, &c__0, &c_n1, a, &c__1, x, w, &info);
chkxer_("ZUNG2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zung2l_(&c__2, &c__1, &c__2, a, &c__2, x, w, &info);
chkxer_("ZUNG2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zung2l_(&c__2, &c__1, &c__0, a, &c__1, x, w, &info);
chkxer_("ZUNG2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZUNMQL */
s_copy(srnamc_1.srnamt, "ZUNMQL", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
zunmql_("/", "N", &c__0, &c__0, &c__0, a, &c__1, x, af, &c__1, w, &c__1, &
info);
chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zunmql_("L", "/", &c__0, &c__0, &c__0, a, &c__1, x, af, &c__1, w, &c__1, &
info);
chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zunmql_("L", "N", &c_n1, &c__0, &c__0, a, &c__1, x, af, &c__1, w, &c__1, &
info);
chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zunmql_("L", "N", &c__0, &c_n1, &c__0, a, &c__1, x, af, &c__1, w, &c__1, &
info);
chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zunmql_("L", "N", &c__0, &c__0, &c_n1, a, &c__1, x, af, &c__1, w, &c__1, &
info);
chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zunmql_("L", "N", &c__0, &c__1, &c__1, a, &c__1, x, af, &c__1, w, &c__1, &
info);
chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zunmql_("R", "N", &c__1, &c__0, &c__1, a, &c__1, x, af, &c__1, w, &c__1, &
info);
chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
zunmql_("L", "N", &c__2, &c__1, &c__0, a, &c__1, x, af, &c__2, w, &c__1, &
info);
chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
zunmql_("R", "N", &c__1, &c__2, &c__0, a, &c__1, x, af, &c__1, w, &c__1, &
info);
chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 10;
zunmql_("L", "N", &c__2, &c__1, &c__0, a, &c__2, x, af, &c__1, w, &c__1, &
info);
chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 12;
zunmql_("L", "N", &c__1, &c__2, &c__0, a, &c__1, x, af, &c__1, w, &c__1, &
info);
chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 12;
zunmql_("R", "N", &c__2, &c__1, &c__0, a, &c__1, x, af, &c__2, w, &c__1, &
info);
chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZUNM2L */
s_copy(srnamc_1.srnamt, "ZUNM2L", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
zunm2l_("/", "N", &c__0, &c__0, &c__0, a, &c__1, x, af, &c__1, w, &info);
chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zunm2l_("L", "/", &c__0, &c__0, &c__0, a, &c__1, x, af, &c__1, w, &info);
chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zunm2l_("L", "N", &c_n1, &c__0, &c__0, a, &c__1, x, af, &c__1, w, &info);
chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zunm2l_("L", "N", &c__0, &c_n1, &c__0, a, &c__1, x, af, &c__1, w, &info);
chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zunm2l_("L", "N", &c__0, &c__0, &c_n1, a, &c__1, x, af, &c__1, w, &info);
chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zunm2l_("L", "N", &c__0, &c__1, &c__1, a, &c__1, x, af, &c__1, w, &info);
chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zunm2l_("R", "N", &c__1, &c__0, &c__1, a, &c__1, x, af, &c__1, w, &info);
chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
zunm2l_("L", "N", &c__2, &c__1, &c__0, a, &c__1, x, af, &c__2, w, &info);
chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
zunm2l_("R", "N", &c__1, &c__2, &c__0, a, &c__1, x, af, &c__1, w, &info);
chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 10;
zunm2l_("L", "N", &c__2, &c__1, &c__0, a, &c__2, x, af, &c__1, w, &info);
chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* Print a summary line. */
alaesm_(path, &infoc_1.ok, &infoc_1.nout);
return 0;
/* End of ZERRQL */
} /* zerrql_ */
/* Subroutine */ int zunmql_(char *side, char *trans, integer *m, integer *n,
integer *k, doublecomplex *a, integer *lda, doublecomplex *tau,
doublecomplex *c__, integer *ldc, doublecomplex *work, integer *lwork,
integer *info)
{
/* System generated locals */
address a__1[2];
integer a_dim1, a_offset, c_dim1, c_offset, i__1, i__2, i__3[2], i__4,
i__5;
char ch__1[2];
/* Builtin functions */
/* Subroutine */ int s_cat(char *, char **, integer *, integer *, ftnlen);
/* Local variables */
integer i__;
doublecomplex t[4160] /* was [65][64] */;
integer i1, i2, i3, ib, nb, mi, ni, nq, nw, iws;
logical left;
extern logical lsame_(char *, char *);
integer nbmin, iinfo;
extern /* Subroutine */ int zunm2l_(char *, char *, integer *, integer *,
integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *), xerbla_(char *, integer *);
extern integer ilaenv_(integer *, char *, char *, integer *, integer *,
integer *, integer *);
extern /* Subroutine */ int zlarfb_(char *, char *, char *, char *,
integer *, integer *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *);
logical notran;
integer ldwork;
extern /* Subroutine */ int zlarft_(char *, char *, integer *, integer *,
doublecomplex *, integer *, doublecomplex *, doublecomplex *,
integer *);
integer lwkopt;
logical lquery;
/* -- LAPACK routine (version 3.2) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZUNMQL overwrites the general complex M-by-N matrix C with */
/* SIDE = 'L' SIDE = 'R' */
/* TRANS = 'N': Q * C C * Q */
/* TRANS = 'C': Q**H * C C * Q**H */
/* where Q is a complex unitary matrix defined as the product of k */
/* elementary reflectors */
/* Q = H(k) . . . H(2) H(1) */
/* as returned by ZGEQLF. Q is of order M if SIDE = 'L' and of order N */
/* if SIDE = 'R'. */
/* Arguments */
/* ========= */
/* SIDE (input) CHARACTER*1 */
/* = 'L': apply Q or Q**H from the Left; */
/* = 'R': apply Q or Q**H from the Right. */
/* TRANS (input) CHARACTER*1 */
/* = 'N': No transpose, apply Q; */
/* = 'C': Transpose, apply Q**H. */
/* M (input) INTEGER */
/* The number of rows of the matrix C. M >= 0. */
/* N (input) INTEGER */
/* The number of columns of the matrix C. N >= 0. */
/* K (input) INTEGER */
/* The number of elementary reflectors whose product defines */
/* the matrix Q. */
/* If SIDE = 'L', M >= K >= 0; */
/* if SIDE = 'R', N >= K >= 0. */
/* A (input) COMPLEX*16 array, dimension (LDA,K) */
/* The i-th column must contain the vector which defines the */
/* elementary reflector H(i), for i = 1,2,...,k, as returned by */
/* ZGEQLF in the last k columns of its array argument A. */
/* A is modified by the routine but restored on exit. */
/* LDA (input) INTEGER */
/* The leading dimension of the array A. */
/* If SIDE = 'L', LDA >= max(1,M); */
/* if SIDE = 'R', LDA >= max(1,N). */
/* TAU (input) COMPLEX*16 array, dimension (K) */
/* TAU(i) must contain the scalar factor of the elementary */
/* reflector H(i), as returned by ZGEQLF. */
/* C (input/output) COMPLEX*16 array, dimension (LDC,N) */
/* On entry, the M-by-N matrix C. */
/* On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q. */
/* LDC (input) INTEGER */
/* The leading dimension of the array C. LDC >= max(1,M). */
/* WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK)) */
/* On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
/* LWORK (input) INTEGER */
/* The dimension of the array WORK. */
/* If SIDE = 'L', LWORK >= max(1,N); */
/* if SIDE = 'R', LWORK >= max(1,M). */
/* For optimum performance LWORK >= N*NB if SIDE = 'L', and */
/* LWORK >= M*NB if SIDE = 'R', where NB is the optimal */
/* blocksize. */
/* If LWORK = -1, then a workspace query is assumed; the routine */
/* only calculates the optimal size of the WORK array, returns */
/* this value as the first entry of the WORK array, and no error */
/* message related to LWORK is issued by XERBLA. */
/* INFO (output) INTEGER */
/* = 0: successful exit */
/* < 0: if INFO = -i, the i-th argument had an illegal value */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input arguments */
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
--tau;
c_dim1 = *ldc;
c_offset = 1 + c_dim1;
c__ -= c_offset;
--work;
/* Function Body */
*info = 0;
left = lsame_(side, "L");
notran = lsame_(trans, "N");
lquery = *lwork == -1;
/* NQ is the order of Q and NW is the minimum dimension of WORK */
if (left) {
nq = *m;
nw = max(1,*n);
} else {
nq = *n;
nw = max(1,*m);
}
if (! left && ! lsame_(side, "R")) {
*info = -1;
} else if (! notran && ! lsame_(trans, "C")) {
*info = -2;
} else if (*m < 0) {
*info = -3;
} else if (*n < 0) {
*info = -4;
} else if (*k < 0 || *k > nq) {
*info = -5;
} else if (*lda < max(1,nq)) {
*info = -7;
} else if (*ldc < max(1,*m)) {
*info = -10;
}
if (*info == 0) {
if (*m == 0 || *n == 0) {
lwkopt = 1;
} else {
/* Determine the block size. NB may be at most NBMAX, where */
/* NBMAX is used to define the local array T. */
/* Computing MIN */
/* Writing concatenation */
i__3[0] = 1, a__1[0] = side;
i__3[1] = 1, a__1[1] = trans;
s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2);
i__1 = 64, i__2 = ilaenv_(&c__1, "ZUNMQL", ch__1, m, n, k, &c_n1);
nb = min(i__1,i__2);
lwkopt = nw * nb;
}
work[1].r = (doublereal) lwkopt, work[1].i = 0.;
if (*lwork < nw && ! lquery) {
*info = -12;
}
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("ZUNMQL", &i__1);
return 0;
} else if (lquery) {
return 0;
}
/* Quick return if possible */
if (*m == 0 || *n == 0) {
return 0;
}
nbmin = 2;
ldwork = nw;
if (nb > 1 && nb < *k) {
iws = nw * nb;
if (*lwork < iws) {
nb = *lwork / ldwork;
/* Computing MAX */
/* Writing concatenation */
i__3[0] = 1, a__1[0] = side;
i__3[1] = 1, a__1[1] = trans;
s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2);
i__1 = 2, i__2 = ilaenv_(&c__2, "ZUNMQL", ch__1, m, n, k, &c_n1);
nbmin = max(i__1,i__2);
}
} else {
iws = nw;
}
if (nb < nbmin || nb >= *k) {
/* Use unblocked code */
zunm2l_(side, trans, m, n, k, &a[a_offset], lda, &tau[1], &c__[
c_offset], ldc, &work[1], &iinfo);
} else {
/* Use blocked code */
if (left && notran || ! left && ! notran) {
i1 = 1;
i2 = *k;
i3 = nb;
} else {
i1 = (*k - 1) / nb * nb + 1;
i2 = 1;
i3 = -nb;
}
if (left) {
ni = *n;
} else {
mi = *m;
}
i__1 = i2;
i__2 = i3;
for (i__ = i1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) {
/* Computing MIN */
i__4 = nb, i__5 = *k - i__ + 1;
ib = min(i__4,i__5);
/* Form the triangular factor of the block reflector */
/* H = H(i+ib-1) . . . H(i+1) H(i) */
i__4 = nq - *k + i__ + ib - 1;
zlarft_("Backward", "Columnwise", &i__4, &ib, &a[i__ * a_dim1 + 1]
, lda, &tau[i__], t, &c__65);
if (left) {
/* H or H' is applied to C(1:m-k+i+ib-1,1:n) */
mi = *m - *k + i__ + ib - 1;
} else {
/* H or H' is applied to C(1:m,1:n-k+i+ib-1) */
ni = *n - *k + i__ + ib - 1;
}
/* Apply H or H' */
zlarfb_(side, trans, "Backward", "Columnwise", &mi, &ni, &ib, &a[
i__ * a_dim1 + 1], lda, t, &c__65, &c__[c_offset], ldc, &
work[1], &ldwork);
/* L10: */
}
}
work[1].r = (doublereal) lwkopt, work[1].i = 0.;
return 0;
/* End of ZUNMQL */
} /* zunmql_ */
