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lammps/lib/linalg/zlaed0.cpp

188 lines
6.1 KiB
C++

#ifdef __cplusplus
extern "C" {
#endif
#include "lmp_f2c.h"
static integer c__9 = 9;
static integer c__0 = 0;
static integer c__2 = 2;
static integer c__1 = 1;
int zlaed0_(integer *qsiz, integer *n, doublereal *d__, doublereal *e, doublecomplex *q,
integer *ldq, doublecomplex *qstore, integer *ldqs, doublereal *rwork, integer *iwork,
integer *info)
{
integer q_dim1, q_offset, qstore_dim1, qstore_offset, i__1, i__2;
doublereal d__1;
double log(doublereal);
integer pow_lmp_ii(integer *, integer *);
integer i__, j, k, ll, iq, lgn, msd2, smm1, spm1, spm2;
doublereal temp;
integer curr, iperm;
extern int dcopy_(integer *, doublereal *, integer *, doublereal *, integer *);
integer indxq, iwrem, iqptr, tlvls;
extern int zcopy_(integer *, doublecomplex *, integer *, doublecomplex *, integer *),
zlaed7_(integer *, integer *, integer *, integer *, integer *, integer *, doublereal *,
doublecomplex *, integer *, doublereal *, integer *, doublereal *, integer *,
integer *, integer *, integer *, integer *, doublereal *, doublecomplex *,
doublereal *, integer *, integer *);
integer igivcl;
extern int xerbla_(char *, integer *, ftnlen);
extern integer ilaenv_(integer *, char *, char *, integer *, integer *, integer *, integer *,
ftnlen, ftnlen);
extern int zlacrm_(integer *, integer *, doublecomplex *, integer *, doublereal *, integer *,
doublecomplex *, integer *, doublereal *);
integer igivnm, submat, curprb, subpbs, igivpt;
extern int dsteqr_(char *, integer *, doublereal *, doublereal *, doublereal *, integer *,
doublereal *, integer *, ftnlen);
integer curlvl, matsiz, iprmpt, smlsiz;
--d__;
--e;
q_dim1 = *ldq;
q_offset = 1 + q_dim1;
q -= q_offset;
qstore_dim1 = *ldqs;
qstore_offset = 1 + qstore_dim1;
qstore -= qstore_offset;
--rwork;
--iwork;
*info = 0;
if (*qsiz < max(0, *n)) {
*info = -1;
} else if (*n < 0) {
*info = -2;
} else if (*ldq < max(1, *n)) {
*info = -6;
} else if (*ldqs < max(1, *n)) {
*info = -8;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_((char *)"ZLAED0", &i__1, (ftnlen)6);
return 0;
}
if (*n == 0) {
return 0;
}
smlsiz = ilaenv_(&c__9, (char *)"ZLAED0", (char *)" ", &c__0, &c__0, &c__0, &c__0, (ftnlen)6, (ftnlen)1);
iwork[1] = *n;
subpbs = 1;
tlvls = 0;
L10:
if (iwork[subpbs] > smlsiz) {
for (j = subpbs; j >= 1; --j) {
iwork[j * 2] = (iwork[j] + 1) / 2;
iwork[(j << 1) - 1] = iwork[j] / 2;
}
++tlvls;
subpbs <<= 1;
goto L10;
}
i__1 = subpbs;
for (j = 2; j <= i__1; ++j) {
iwork[j] += iwork[j - 1];
}
spm1 = subpbs - 1;
i__1 = spm1;
for (i__ = 1; i__ <= i__1; ++i__) {
submat = iwork[i__] + 1;
smm1 = submat - 1;
d__[smm1] -= (d__1 = e[smm1], abs(d__1));
d__[submat] -= (d__1 = e[smm1], abs(d__1));
}
indxq = (*n << 2) + 3;
temp = log((doublereal)(*n)) / log(2.);
lgn = (integer)temp;
if (pow_lmp_ii(&c__2, &lgn) < *n) {
++lgn;
}
if (pow_lmp_ii(&c__2, &lgn) < *n) {
++lgn;
}
iprmpt = indxq + *n + 1;
iperm = iprmpt + *n * lgn;
iqptr = iperm + *n * lgn;
igivpt = iqptr + *n + 2;
igivcl = igivpt + *n * lgn;
igivnm = 1;
iq = igivnm + (*n << 1) * lgn;
i__1 = *n;
iwrem = iq + i__1 * i__1 + 1;
i__1 = subpbs;
for (i__ = 0; i__ <= i__1; ++i__) {
iwork[iprmpt + i__] = 1;
iwork[igivpt + i__] = 1;
}
iwork[iqptr] = 1;
curr = 0;
i__1 = spm1;
for (i__ = 0; i__ <= i__1; ++i__) {
if (i__ == 0) {
submat = 1;
matsiz = iwork[1];
} else {
submat = iwork[i__] + 1;
matsiz = iwork[i__ + 1] - iwork[i__];
}
ll = iq - 1 + iwork[iqptr + curr];
dsteqr_((char *)"I", &matsiz, &d__[submat], &e[submat], &rwork[ll], &matsiz, &rwork[1], info,
(ftnlen)1);
zlacrm_(qsiz, &matsiz, &q[submat * q_dim1 + 1], ldq, &rwork[ll], &matsiz,
&qstore[submat * qstore_dim1 + 1], ldqs, &rwork[iwrem]);
i__2 = matsiz;
iwork[iqptr + curr + 1] = iwork[iqptr + curr] + i__2 * i__2;
++curr;
if (*info > 0) {
*info = submat * (*n + 1) + submat + matsiz - 1;
return 0;
}
k = 1;
i__2 = iwork[i__ + 1];
for (j = submat; j <= i__2; ++j) {
iwork[indxq + j] = k;
++k;
}
}
curlvl = 1;
L80:
if (subpbs > 1) {
spm2 = subpbs - 2;
i__1 = spm2;
for (i__ = 0; i__ <= i__1; i__ += 2) {
if (i__ == 0) {
submat = 1;
matsiz = iwork[2];
msd2 = iwork[1];
curprb = 0;
} else {
submat = iwork[i__] + 1;
matsiz = iwork[i__ + 2] - iwork[i__];
msd2 = matsiz / 2;
++curprb;
}
zlaed7_(&matsiz, &msd2, qsiz, &tlvls, &curlvl, &curprb, &d__[submat],
&qstore[submat * qstore_dim1 + 1], ldqs, &e[submat + msd2 - 1],
&iwork[indxq + submat], &rwork[iq], &iwork[iqptr], &iwork[iprmpt],
&iwork[iperm], &iwork[igivpt], &iwork[igivcl], &rwork[igivnm],
&q[submat * q_dim1 + 1], &rwork[iwrem], &iwork[subpbs + 1], info);
if (*info > 0) {
*info = submat * (*n + 1) + submat + matsiz - 1;
return 0;
}
iwork[i__ / 2 + 1] = iwork[i__ + 2];
}
subpbs /= 2;
++curlvl;
goto L80;
}
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
j = iwork[indxq + i__];
rwork[i__] = d__[j];
zcopy_(qsiz, &qstore[j * qstore_dim1 + 1], &c__1, &q[i__ * q_dim1 + 1], &c__1);
}
dcopy_(n, &rwork[1], &c__1, &d__[1], &c__1);
return 0;
}
#ifdef __cplusplus
}
#endif