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lammps/lib/linalg/zhetd2.cpp

149 lines
5.9 KiB
C++

#ifdef __cplusplus
extern "C" {
#endif
#include "lmp_f2c.h"
static doublecomplex c_b2 = {0., 0.};
static integer c__1 = 1;
int zhetd2_(char *uplo, integer *n, doublecomplex *a, integer *lda, doublereal *d__, doublereal *e,
doublecomplex *tau, integer *info, ftnlen uplo_len)
{
integer a_dim1, a_offset, i__1, i__2, i__3;
doublereal d__1;
doublecomplex z__1, z__2, z__3, z__4;
integer i__;
doublecomplex taui;
extern int zher2_(char *, integer *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *, ftnlen);
doublecomplex alpha;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern VOID zdotc_(doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *,
integer *);
extern int zhemv_(char *, integer *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *,
ftnlen);
logical upper;
extern int zaxpy_(integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *,
integer *),
xerbla_(char *, integer *, ftnlen),
zlarfg_(integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
--d__;
--e;
--tau;
*info = 0;
upper = lsame_(uplo, (char *)"U", (ftnlen)1, (ftnlen)1);
if (!upper && !lsame_(uplo, (char *)"L", (ftnlen)1, (ftnlen)1)) {
*info = -1;
} else if (*n < 0) {
*info = -2;
} else if (*lda < max(1, *n)) {
*info = -4;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_((char *)"ZHETD2", &i__1, (ftnlen)6);
return 0;
}
if (*n <= 0) {
return 0;
}
if (upper) {
i__1 = *n + *n * a_dim1;
i__2 = *n + *n * a_dim1;
d__1 = a[i__2].r;
a[i__1].r = d__1, a[i__1].i = 0.;
for (i__ = *n - 1; i__ >= 1; --i__) {
i__1 = i__ + (i__ + 1) * a_dim1;
alpha.r = a[i__1].r, alpha.i = a[i__1].i;
zlarfg_(&i__, &alpha, &a[(i__ + 1) * a_dim1 + 1], &c__1, &taui);
e[i__] = alpha.r;
if (taui.r != 0. || taui.i != 0.) {
i__1 = i__ + (i__ + 1) * a_dim1;
a[i__1].r = 1., a[i__1].i = 0.;
zhemv_(uplo, &i__, &taui, &a[a_offset], lda, &a[(i__ + 1) * a_dim1 + 1], &c__1,
&c_b2, &tau[1], &c__1, (ftnlen)1);
z__3.r = -.5, z__3.i = -0.;
z__2.r = z__3.r * taui.r - z__3.i * taui.i,
z__2.i = z__3.r * taui.i + z__3.i * taui.r;
zdotc_(&z__4, &i__, &tau[1], &c__1, &a[(i__ + 1) * 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;
zaxpy_(&i__, &alpha, &a[(i__ + 1) * a_dim1 + 1], &c__1, &tau[1], &c__1);
z__1.r = -1., z__1.i = -0.;
zher2_(uplo, &i__, &z__1, &a[(i__ + 1) * a_dim1 + 1], &c__1, &tau[1], &c__1,
&a[a_offset], lda, (ftnlen)1);
} else {
i__1 = i__ + i__ * a_dim1;
i__2 = i__ + i__ * a_dim1;
d__1 = a[i__2].r;
a[i__1].r = d__1, a[i__1].i = 0.;
}
i__1 = i__ + (i__ + 1) * a_dim1;
i__2 = i__;
a[i__1].r = e[i__2], a[i__1].i = 0.;
i__1 = i__ + 1 + (i__ + 1) * a_dim1;
d__[i__ + 1] = a[i__1].r;
i__1 = i__;
tau[i__1].r = taui.r, tau[i__1].i = taui.i;
}
i__1 = a_dim1 + 1;
d__[1] = a[i__1].r;
} else {
i__1 = a_dim1 + 1;
i__2 = a_dim1 + 1;
d__1 = a[i__2].r;
a[i__1].r = d__1, a[i__1].i = 0.;
i__1 = *n - 1;
for (i__ = 1; i__ <= i__1; ++i__) {
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, &taui);
e[i__] = alpha.r;
if (taui.r != 0. || taui.i != 0.) {
i__2 = i__ + 1 + i__ * a_dim1;
a[i__2].r = 1., a[i__2].i = 0.;
i__2 = *n - i__;
zhemv_(uplo, &i__2, &taui, &a[i__ + 1 + (i__ + 1) * a_dim1], lda,
&a[i__ + 1 + i__ * a_dim1], &c__1, &c_b2, &tau[i__], &c__1, (ftnlen)1);
z__3.r = -.5, z__3.i = -0.;
z__2.r = z__3.r * taui.r - z__3.i * taui.i,
z__2.i = z__3.r * taui.i + z__3.i * taui.r;
i__2 = *n - i__;
zdotc_(&z__4, &i__2, &tau[i__], &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, &tau[i__], &c__1);
i__2 = *n - i__;
z__1.r = -1., z__1.i = -0.;
zher2_(uplo, &i__2, &z__1, &a[i__ + 1 + i__ * a_dim1], &c__1, &tau[i__], &c__1,
&a[i__ + 1 + (i__ + 1) * a_dim1], lda, (ftnlen)1);
} else {
i__2 = i__ + 1 + (i__ + 1) * a_dim1;
i__3 = i__ + 1 + (i__ + 1) * a_dim1;
d__1 = a[i__3].r;
a[i__2].r = d__1, a[i__2].i = 0.;
}
i__2 = i__ + 1 + i__ * a_dim1;
i__3 = i__;
a[i__2].r = e[i__3], a[i__2].i = 0.;
i__2 = i__ + i__ * a_dim1;
d__[i__] = a[i__2].r;
i__2 = i__;
tau[i__2].r = taui.r, tau[i__2].i = taui.i;
}
i__1 = *n + *n * a_dim1;
d__[*n] = a[i__1].r;
}
return 0;
}
#ifdef __cplusplus
}
#endif