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lammps/lib/linalg/zlatrd.cpp

208 lines
9.8 KiB
C++

#ifdef __cplusplus
extern "C" {
#endif
#include "lmp_f2c.h"
static doublecomplex c_b1 = {0., 0.};
static doublecomplex c_b2 = {1., 0.};
static integer c__1 = 1;
int zlatrd_(char *uplo, integer *n, integer *nb, doublecomplex *a, integer *lda, doublereal *e,
doublecomplex *tau, doublecomplex *w, integer *ldw, ftnlen uplo_len)
{
integer a_dim1, a_offset, w_dim1, w_offset, i__1, i__2, i__3;
doublereal d__1;
doublecomplex z__1, z__2, z__3, z__4;
integer i__, iw;
doublecomplex alpha;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern int zscal_(integer *, doublecomplex *, doublecomplex *, integer *);
extern VOID zdotc_(doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *,
integer *);
extern int zgemv_(char *, integer *, integer *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *,
ftnlen),
zhemv_(char *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *,
integer *, doublecomplex *, doublecomplex *, integer *, ftnlen),
zaxpy_(integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *),
zlarfg_(integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *),
zlacgv_(integer *, doublecomplex *, integer *);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
--e;
--tau;
w_dim1 = *ldw;
w_offset = 1 + w_dim1;
w -= w_offset;
if (*n <= 0) {
return 0;
}
if (lsame_(uplo, (char *)"U", (ftnlen)1, (ftnlen)1)) {
i__1 = *n - *nb + 1;
for (i__ = *n; i__ >= i__1; --i__) {
iw = i__ - *n + *nb;
if (i__ < *n) {
i__2 = i__ + i__ * a_dim1;
i__3 = i__ + i__ * a_dim1;
d__1 = a[i__3].r;
a[i__2].r = d__1, a[i__2].i = 0.;
i__2 = *n - i__;
zlacgv_(&i__2, &w[i__ + (iw + 1) * w_dim1], ldw);
i__2 = *n - i__;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__, &i__2, &z__1, &a[(i__ + 1) * a_dim1 + 1], lda,
&w[i__ + (iw + 1) * w_dim1], ldw, &c_b2, &a[i__ * a_dim1 + 1], &c__1,
(ftnlen)12);
i__2 = *n - i__;
zlacgv_(&i__2, &w[i__ + (iw + 1) * w_dim1], ldw);
i__2 = *n - i__;
zlacgv_(&i__2, &a[i__ + (i__ + 1) * a_dim1], lda);
i__2 = *n - i__;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__, &i__2, &z__1, &w[(iw + 1) * w_dim1 + 1], ldw,
&a[i__ + (i__ + 1) * a_dim1], lda, &c_b2, &a[i__ * a_dim1 + 1], &c__1,
(ftnlen)12);
i__2 = *n - i__;
zlacgv_(&i__2, &a[i__ + (i__ + 1) * a_dim1], lda);
i__2 = i__ + i__ * a_dim1;
i__3 = i__ + i__ * a_dim1;
d__1 = a[i__3].r;
a[i__2].r = d__1, a[i__2].i = 0.;
}
if (i__ > 1) {
i__2 = i__ - 1 + i__ * a_dim1;
alpha.r = a[i__2].r, alpha.i = a[i__2].i;
i__2 = i__ - 1;
zlarfg_(&i__2, &alpha, &a[i__ * a_dim1 + 1], &c__1, &tau[i__ - 1]);
e[i__ - 1] = alpha.r;
i__2 = i__ - 1 + i__ * a_dim1;
a[i__2].r = 1., a[i__2].i = 0.;
i__2 = i__ - 1;
zhemv_((char *)"Upper", &i__2, &c_b2, &a[a_offset], lda, &a[i__ * a_dim1 + 1], &c__1, &c_b1,
&w[iw * w_dim1 + 1], &c__1, (ftnlen)5);
if (i__ < *n) {
i__2 = i__ - 1;
i__3 = *n - i__;
zgemv_((char *)"Conjugate transpose", &i__2, &i__3, &c_b2, &w[(iw + 1) * w_dim1 + 1],
ldw, &a[i__ * a_dim1 + 1], &c__1, &c_b1, &w[i__ + 1 + iw * w_dim1],
&c__1, (ftnlen)19);
i__2 = i__ - 1;
i__3 = *n - i__;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__2, &i__3, &z__1, &a[(i__ + 1) * a_dim1 + 1], lda,
&w[i__ + 1 + iw * w_dim1], &c__1, &c_b2, &w[iw * w_dim1 + 1], &c__1,
(ftnlen)12);
i__2 = i__ - 1;
i__3 = *n - i__;
zgemv_((char *)"Conjugate transpose", &i__2, &i__3, &c_b2, &a[(i__ + 1) * a_dim1 + 1],
lda, &a[i__ * a_dim1 + 1], &c__1, &c_b1, &w[i__ + 1 + iw * w_dim1],
&c__1, (ftnlen)19);
i__2 = i__ - 1;
i__3 = *n - i__;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__2, &i__3, &z__1, &w[(iw + 1) * w_dim1 + 1], ldw,
&w[i__ + 1 + iw * w_dim1], &c__1, &c_b2, &w[iw * w_dim1 + 1], &c__1,
(ftnlen)12);
}
i__2 = i__ - 1;
zscal_(&i__2, &tau[i__ - 1], &w[iw * w_dim1 + 1], &c__1);
z__3.r = -.5, z__3.i = -0.;
i__2 = i__ - 1;
z__2.r = z__3.r * tau[i__2].r - z__3.i * tau[i__2].i,
z__2.i = z__3.r * tau[i__2].i + z__3.i * tau[i__2].r;
i__3 = i__ - 1;
zdotc_(&z__4, &i__3, &w[iw * w_dim1 + 1], &c__1, &a[i__ * a_dim1 + 1], &c__1);
z__1.r = z__2.r * z__4.r - z__2.i * z__4.i,
z__1.i = z__2.r * z__4.i + z__2.i * z__4.r;
alpha.r = z__1.r, alpha.i = z__1.i;
i__2 = i__ - 1;
zaxpy_(&i__2, &alpha, &a[i__ * a_dim1 + 1], &c__1, &w[iw * w_dim1 + 1], &c__1);
}
}
} else {
i__1 = *nb;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__ + i__ * a_dim1;
i__3 = i__ + i__ * a_dim1;
d__1 = a[i__3].r;
a[i__2].r = d__1, a[i__2].i = 0.;
i__2 = i__ - 1;
zlacgv_(&i__2, &w[i__ + w_dim1], ldw);
i__2 = *n - i__ + 1;
i__3 = i__ - 1;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__2, &i__3, &z__1, &a[i__ + a_dim1], lda, &w[i__ + w_dim1],
ldw, &c_b2, &a[i__ + i__ * a_dim1], &c__1, (ftnlen)12);
i__2 = i__ - 1;
zlacgv_(&i__2, &w[i__ + w_dim1], ldw);
i__2 = i__ - 1;
zlacgv_(&i__2, &a[i__ + a_dim1], lda);
i__2 = *n - i__ + 1;
i__3 = i__ - 1;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__2, &i__3, &z__1, &w[i__ + w_dim1], ldw, &a[i__ + a_dim1],
lda, &c_b2, &a[i__ + i__ * a_dim1], &c__1, (ftnlen)12);
i__2 = i__ - 1;
zlacgv_(&i__2, &a[i__ + a_dim1], lda);
i__2 = i__ + i__ * a_dim1;
i__3 = i__ + i__ * a_dim1;
d__1 = a[i__3].r;
a[i__2].r = d__1, a[i__2].i = 0.;
if (i__ < *n) {
i__2 = i__ + 1 + i__ * a_dim1;
alpha.r = a[i__2].r, alpha.i = a[i__2].i;
i__2 = *n - i__;
i__3 = i__ + 2;
zlarfg_(&i__2, &alpha, &a[min(i__3, *n) + i__ * a_dim1], &c__1, &tau[i__]);
e[i__] = alpha.r;
i__2 = i__ + 1 + i__ * a_dim1;
a[i__2].r = 1., a[i__2].i = 0.;
i__2 = *n - i__;
zhemv_((char *)"Lower", &i__2, &c_b2, &a[i__ + 1 + (i__ + 1) * a_dim1], lda,
&a[i__ + 1 + i__ * a_dim1], &c__1, &c_b1, &w[i__ + 1 + i__ * w_dim1], &c__1,
(ftnlen)5);
i__2 = *n - i__;
i__3 = i__ - 1;
zgemv_((char *)"Conjugate transpose", &i__2, &i__3, &c_b2, &w[i__ + 1 + w_dim1], ldw,
&a[i__ + 1 + i__ * a_dim1], &c__1, &c_b1, &w[i__ * w_dim1 + 1], &c__1,
(ftnlen)19);
i__2 = *n - i__;
i__3 = i__ - 1;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__2, &i__3, &z__1, &a[i__ + 1 + a_dim1], lda,
&w[i__ * w_dim1 + 1], &c__1, &c_b2, &w[i__ + 1 + i__ * w_dim1], &c__1,
(ftnlen)12);
i__2 = *n - i__;
i__3 = i__ - 1;
zgemv_((char *)"Conjugate transpose", &i__2, &i__3, &c_b2, &a[i__ + 1 + a_dim1], lda,
&a[i__ + 1 + i__ * a_dim1], &c__1, &c_b1, &w[i__ * w_dim1 + 1], &c__1,
(ftnlen)19);
i__2 = *n - i__;
i__3 = i__ - 1;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__2, &i__3, &z__1, &w[i__ + 1 + w_dim1], ldw,
&w[i__ * w_dim1 + 1], &c__1, &c_b2, &w[i__ + 1 + i__ * w_dim1], &c__1,
(ftnlen)12);
i__2 = *n - i__;
zscal_(&i__2, &tau[i__], &w[i__ + 1 + i__ * w_dim1], &c__1);
z__3.r = -.5, z__3.i = -0.;
i__2 = i__;
z__2.r = z__3.r * tau[i__2].r - z__3.i * tau[i__2].i,
z__2.i = z__3.r * tau[i__2].i + z__3.i * tau[i__2].r;
i__3 = *n - i__;
zdotc_(&z__4, &i__3, &w[i__ + 1 + i__ * w_dim1], &c__1, &a[i__ + 1 + i__ * a_dim1],
&c__1);
z__1.r = z__2.r * z__4.r - z__2.i * z__4.i,
z__1.i = z__2.r * z__4.i + z__2.i * z__4.r;
alpha.r = z__1.r, alpha.i = z__1.i;
i__2 = *n - i__;
zaxpy_(&i__2, &alpha, &a[i__ + 1 + i__ * a_dim1], &c__1, &w[i__ + 1 + i__ * w_dim1],
&c__1);
}
}
}
return 0;
}
#ifdef __cplusplus
}
#endif