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lammps/lib/linalg/dlaed3.cpp

139 lines
4.4 KiB
C++

#ifdef __cplusplus
extern "C" {
#endif
#include "lmp_f2c.h"
static integer c__1 = 1;
static doublereal c_b22 = 1.;
static doublereal c_b23 = 0.;
int dlaed3_(integer *k, integer *n, integer *n1, doublereal *d__, doublereal *q, integer *ldq,
doublereal *rho, doublereal *dlamda, doublereal *q2, integer *indx, integer *ctot,
doublereal *w, doublereal *s, integer *info)
{
integer q_dim1, q_offset, i__1, i__2;
doublereal d__1;
double sqrt(doublereal), d_lmp_sign(doublereal *, doublereal *);
integer i__, j, n2, n12, ii, n23, iq2;
doublereal temp;
extern doublereal dnrm2_(integer *, doublereal *, integer *);
extern int dgemm_(char *, char *, integer *, integer *, integer *, doublereal *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *, integer *,
ftnlen, ftnlen),
dcopy_(integer *, doublereal *, integer *, doublereal *, integer *),
dlaed4_(integer *, integer *, doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *, integer *);
extern doublereal dlamc3_(doublereal *, doublereal *);
extern int dlacpy_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
integer *, ftnlen),
dlaset_(char *, integer *, integer *, doublereal *, doublereal *, doublereal *, integer *,
ftnlen),
xerbla_(char *, integer *, ftnlen);
--d__;
q_dim1 = *ldq;
q_offset = 1 + q_dim1;
q -= q_offset;
--dlamda;
--q2;
--indx;
--ctot;
--w;
--s;
*info = 0;
if (*k < 0) {
*info = -1;
} else if (*n < *k) {
*info = -2;
} else if (*ldq < max(1, *n)) {
*info = -6;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_((char *)"DLAED3", &i__1, (ftnlen)6);
return 0;
}
if (*k == 0) {
return 0;
}
i__1 = *k;
for (i__ = 1; i__ <= i__1; ++i__) {
dlamda[i__] = dlamc3_(&dlamda[i__], &dlamda[i__]) - dlamda[i__];
}
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
dlaed4_(k, &j, &dlamda[1], &w[1], &q[j * q_dim1 + 1], rho, &d__[j], info);
if (*info != 0) {
goto L120;
}
}
if (*k == 1) {
goto L110;
}
if (*k == 2) {
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
w[1] = q[j * q_dim1 + 1];
w[2] = q[j * q_dim1 + 2];
ii = indx[1];
q[j * q_dim1 + 1] = w[ii];
ii = indx[2];
q[j * q_dim1 + 2] = w[ii];
}
goto L110;
}
dcopy_(k, &w[1], &c__1, &s[1], &c__1);
i__1 = *ldq + 1;
dcopy_(k, &q[q_offset], &i__1, &w[1], &c__1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = j - 1;
for (i__ = 1; i__ <= i__2; ++i__) {
w[i__] *= q[i__ + j * q_dim1] / (dlamda[i__] - dlamda[j]);
}
i__2 = *k;
for (i__ = j + 1; i__ <= i__2; ++i__) {
w[i__] *= q[i__ + j * q_dim1] / (dlamda[i__] - dlamda[j]);
}
}
i__1 = *k;
for (i__ = 1; i__ <= i__1; ++i__) {
d__1 = sqrt(-w[i__]);
w[i__] = d_lmp_sign(&d__1, &s[i__]);
}
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *k;
for (i__ = 1; i__ <= i__2; ++i__) {
s[i__] = w[i__] / q[i__ + j * q_dim1];
}
temp = dnrm2_(k, &s[1], &c__1);
i__2 = *k;
for (i__ = 1; i__ <= i__2; ++i__) {
ii = indx[i__];
q[i__ + j * q_dim1] = s[ii] / temp;
}
}
L110:
n2 = *n - *n1;
n12 = ctot[1] + ctot[2];
n23 = ctot[2] + ctot[3];
dlacpy_((char *)"A", &n23, k, &q[ctot[1] + 1 + q_dim1], ldq, &s[1], &n23, (ftnlen)1);
iq2 = *n1 * n12 + 1;
if (n23 != 0) {
dgemm_((char *)"N", (char *)"N", &n2, k, &n23, &c_b22, &q2[iq2], &n2, &s[1], &n23, &c_b23,
&q[*n1 + 1 + q_dim1], ldq, (ftnlen)1, (ftnlen)1);
} else {
dlaset_((char *)"A", &n2, k, &c_b23, &c_b23, &q[*n1 + 1 + q_dim1], ldq, (ftnlen)1);
}
dlacpy_((char *)"A", &n12, k, &q[q_offset], ldq, &s[1], &n12, (ftnlen)1);
if (n12 != 0) {
dgemm_((char *)"N", (char *)"N", n1, k, &n12, &c_b22, &q2[1], n1, &s[1], &n12, &c_b23, &q[q_offset], ldq,
(ftnlen)1, (ftnlen)1);
} else {
dlaset_((char *)"A", n1, k, &c_b23, &c_b23, &q[q_dim1 + 1], ldq, (ftnlen)1);
}
L120:
return 0;
}
#ifdef __cplusplus
}
#endif