264 lines
7.2 KiB
C++
264 lines
7.2 KiB
C++
#ifdef __cplusplus
|
|
extern "C" {
|
|
#endif
|
|
#include "lmp_f2c.h"
|
|
static doublereal c_b3 = -1.;
|
|
static integer c__1 = 1;
|
|
int dlaed2_(integer *k, integer *n, integer *n1, doublereal *d__, doublereal *q, integer *ldq,
|
|
integer *indxq, doublereal *rho, doublereal *z__, doublereal *dlambda, doublereal *w,
|
|
doublereal *q2, integer *indx, integer *indxc, integer *indxp, integer *coltyp,
|
|
integer *info)
|
|
{
|
|
integer q_dim1, q_offset, i__1, i__2;
|
|
doublereal d__1, d__2, d__3, d__4;
|
|
double sqrt(doublereal);
|
|
doublereal c__;
|
|
integer i__, j;
|
|
doublereal s, t;
|
|
integer k2, n2, ct, nj, pj, js, iq1, iq2, n1p1;
|
|
doublereal eps, tau, tol;
|
|
integer psm[4], imax, jmax;
|
|
extern int drot_(integer *, doublereal *, integer *, doublereal *, integer *, doublereal *,
|
|
doublereal *);
|
|
integer ctot[4];
|
|
extern int dscal_(integer *, doublereal *, doublereal *, integer *),
|
|
dcopy_(integer *, doublereal *, integer *, doublereal *, integer *);
|
|
extern doublereal dlapy2_(doublereal *, doublereal *), dlamch_(char *, ftnlen);
|
|
extern integer idamax_(integer *, doublereal *, integer *);
|
|
extern int dlamrg_(integer *, integer *, doublereal *, integer *, integer *, integer *),
|
|
dlacpy_(char *, integer *, integer *, doublereal *, integer *, doublereal *, integer *,
|
|
ftnlen),
|
|
xerbla_(char *, integer *, ftnlen);
|
|
--d__;
|
|
q_dim1 = *ldq;
|
|
q_offset = 1 + q_dim1;
|
|
q -= q_offset;
|
|
--indxq;
|
|
--z__;
|
|
--dlambda;
|
|
--w;
|
|
--q2;
|
|
--indx;
|
|
--indxc;
|
|
--indxp;
|
|
--coltyp;
|
|
*info = 0;
|
|
if (*n < 0) {
|
|
*info = -2;
|
|
} else if (*ldq < max(1, *n)) {
|
|
*info = -6;
|
|
} else {
|
|
i__1 = 1, i__2 = *n / 2;
|
|
if (min(i__1, i__2) > *n1 || *n / 2 < *n1) {
|
|
*info = -3;
|
|
}
|
|
}
|
|
if (*info != 0) {
|
|
i__1 = -(*info);
|
|
xerbla_((char *)"DLAED2", &i__1, (ftnlen)6);
|
|
return 0;
|
|
}
|
|
if (*n == 0) {
|
|
return 0;
|
|
}
|
|
n2 = *n - *n1;
|
|
n1p1 = *n1 + 1;
|
|
if (*rho < 0.) {
|
|
dscal_(&n2, &c_b3, &z__[n1p1], &c__1);
|
|
}
|
|
t = 1. / sqrt(2.);
|
|
dscal_(n, &t, &z__[1], &c__1);
|
|
*rho = (d__1 = *rho * 2., abs(d__1));
|
|
i__1 = *n;
|
|
for (i__ = n1p1; i__ <= i__1; ++i__) {
|
|
indxq[i__] += *n1;
|
|
}
|
|
i__1 = *n;
|
|
for (i__ = 1; i__ <= i__1; ++i__) {
|
|
dlambda[i__] = d__[indxq[i__]];
|
|
}
|
|
dlamrg_(n1, &n2, &dlambda[1], &c__1, &c__1, &indxc[1]);
|
|
i__1 = *n;
|
|
for (i__ = 1; i__ <= i__1; ++i__) {
|
|
indx[i__] = indxq[indxc[i__]];
|
|
}
|
|
imax = idamax_(n, &z__[1], &c__1);
|
|
jmax = idamax_(n, &d__[1], &c__1);
|
|
eps = dlamch_((char *)"Epsilon", (ftnlen)7);
|
|
d__3 = (d__1 = d__[jmax], abs(d__1)), d__4 = (d__2 = z__[imax], abs(d__2));
|
|
tol = eps * 8. * max(d__3, d__4);
|
|
if (*rho * (d__1 = z__[imax], abs(d__1)) <= tol) {
|
|
*k = 0;
|
|
iq2 = 1;
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__ = indx[j];
|
|
dcopy_(n, &q[i__ * q_dim1 + 1], &c__1, &q2[iq2], &c__1);
|
|
dlambda[j] = d__[i__];
|
|
iq2 += *n;
|
|
}
|
|
dlacpy_((char *)"A", n, n, &q2[1], n, &q[q_offset], ldq, (ftnlen)1);
|
|
dcopy_(n, &dlambda[1], &c__1, &d__[1], &c__1);
|
|
goto L190;
|
|
}
|
|
i__1 = *n1;
|
|
for (i__ = 1; i__ <= i__1; ++i__) {
|
|
coltyp[i__] = 1;
|
|
}
|
|
i__1 = *n;
|
|
for (i__ = n1p1; i__ <= i__1; ++i__) {
|
|
coltyp[i__] = 3;
|
|
}
|
|
*k = 0;
|
|
k2 = *n + 1;
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
nj = indx[j];
|
|
if (*rho * (d__1 = z__[nj], abs(d__1)) <= tol) {
|
|
--k2;
|
|
coltyp[nj] = 4;
|
|
indxp[k2] = nj;
|
|
if (j == *n) {
|
|
goto L100;
|
|
}
|
|
} else {
|
|
pj = nj;
|
|
goto L80;
|
|
}
|
|
}
|
|
L80:
|
|
++j;
|
|
nj = indx[j];
|
|
if (j > *n) {
|
|
goto L100;
|
|
}
|
|
if (*rho * (d__1 = z__[nj], abs(d__1)) <= tol) {
|
|
--k2;
|
|
coltyp[nj] = 4;
|
|
indxp[k2] = nj;
|
|
} else {
|
|
s = z__[pj];
|
|
c__ = z__[nj];
|
|
tau = dlapy2_(&c__, &s);
|
|
t = d__[nj] - d__[pj];
|
|
c__ /= tau;
|
|
s = -s / tau;
|
|
if ((d__1 = t * c__ * s, abs(d__1)) <= tol) {
|
|
z__[nj] = tau;
|
|
z__[pj] = 0.;
|
|
if (coltyp[nj] != coltyp[pj]) {
|
|
coltyp[nj] = 2;
|
|
}
|
|
coltyp[pj] = 4;
|
|
drot_(n, &q[pj * q_dim1 + 1], &c__1, &q[nj * q_dim1 + 1], &c__1, &c__, &s);
|
|
d__1 = c__;
|
|
d__2 = s;
|
|
t = d__[pj] * (d__1 * d__1) + d__[nj] * (d__2 * d__2);
|
|
d__1 = s;
|
|
d__2 = c__;
|
|
d__[nj] = d__[pj] * (d__1 * d__1) + d__[nj] * (d__2 * d__2);
|
|
d__[pj] = t;
|
|
--k2;
|
|
i__ = 1;
|
|
L90:
|
|
if (k2 + i__ <= *n) {
|
|
if (d__[pj] < d__[indxp[k2 + i__]]) {
|
|
indxp[k2 + i__ - 1] = indxp[k2 + i__];
|
|
indxp[k2 + i__] = pj;
|
|
++i__;
|
|
goto L90;
|
|
} else {
|
|
indxp[k2 + i__ - 1] = pj;
|
|
}
|
|
} else {
|
|
indxp[k2 + i__ - 1] = pj;
|
|
}
|
|
pj = nj;
|
|
} else {
|
|
++(*k);
|
|
dlambda[*k] = d__[pj];
|
|
w[*k] = z__[pj];
|
|
indxp[*k] = pj;
|
|
pj = nj;
|
|
}
|
|
}
|
|
goto L80;
|
|
L100:
|
|
++(*k);
|
|
dlambda[*k] = d__[pj];
|
|
w[*k] = z__[pj];
|
|
indxp[*k] = pj;
|
|
for (j = 1; j <= 4; ++j) {
|
|
ctot[j - 1] = 0;
|
|
}
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
ct = coltyp[j];
|
|
++ctot[ct - 1];
|
|
}
|
|
psm[0] = 1;
|
|
psm[1] = ctot[0] + 1;
|
|
psm[2] = psm[1] + ctot[1];
|
|
psm[3] = psm[2] + ctot[2];
|
|
*k = *n - ctot[3];
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
js = indxp[j];
|
|
ct = coltyp[js];
|
|
indx[psm[ct - 1]] = js;
|
|
indxc[psm[ct - 1]] = j;
|
|
++psm[ct - 1];
|
|
}
|
|
i__ = 1;
|
|
iq1 = 1;
|
|
iq2 = (ctot[0] + ctot[1]) * *n1 + 1;
|
|
i__1 = ctot[0];
|
|
for (j = 1; j <= i__1; ++j) {
|
|
js = indx[i__];
|
|
dcopy_(n1, &q[js * q_dim1 + 1], &c__1, &q2[iq1], &c__1);
|
|
z__[i__] = d__[js];
|
|
++i__;
|
|
iq1 += *n1;
|
|
}
|
|
i__1 = ctot[1];
|
|
for (j = 1; j <= i__1; ++j) {
|
|
js = indx[i__];
|
|
dcopy_(n1, &q[js * q_dim1 + 1], &c__1, &q2[iq1], &c__1);
|
|
dcopy_(&n2, &q[*n1 + 1 + js * q_dim1], &c__1, &q2[iq2], &c__1);
|
|
z__[i__] = d__[js];
|
|
++i__;
|
|
iq1 += *n1;
|
|
iq2 += n2;
|
|
}
|
|
i__1 = ctot[2];
|
|
for (j = 1; j <= i__1; ++j) {
|
|
js = indx[i__];
|
|
dcopy_(&n2, &q[*n1 + 1 + js * q_dim1], &c__1, &q2[iq2], &c__1);
|
|
z__[i__] = d__[js];
|
|
++i__;
|
|
iq2 += n2;
|
|
}
|
|
iq1 = iq2;
|
|
i__1 = ctot[3];
|
|
for (j = 1; j <= i__1; ++j) {
|
|
js = indx[i__];
|
|
dcopy_(n, &q[js * q_dim1 + 1], &c__1, &q2[iq2], &c__1);
|
|
iq2 += *n;
|
|
z__[i__] = d__[js];
|
|
++i__;
|
|
}
|
|
if (*k < *n) {
|
|
dlacpy_((char *)"A", n, &ctot[3], &q2[iq1], n, &q[(*k + 1) * q_dim1 + 1], ldq, (ftnlen)1);
|
|
i__1 = *n - *k;
|
|
dcopy_(&i__1, &z__[*k + 1], &c__1, &d__[*k + 1], &c__1);
|
|
}
|
|
for (j = 1; j <= 4; ++j) {
|
|
coltyp[j] = ctot[j - 1];
|
|
}
|
|
L190:
|
|
return 0;
|
|
}
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|