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Merge pull request #4430 from akohlmey/update-linalg

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Update linalg to version 1.4.2 corresponding to LAPACK 3.12.1
This commit is contained in:
Axel Kohlmeyer
2025-01-08 21:53:33 -05:00
committed by GitHub
parent 52d932df3b 748046089c
commit 50bda6077c
104 changed files with 1842 additions and 2031 deletions
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3
lib/linalg/dbdsqr.cpp
View File

@ -471,6 +471,9 @@ L90:
L160:
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (d__[i__] == 0.) {
d__[i__] = 0.;
}
if (d__[i__] < 0.) {
d__[i__] = -d__[i__];
if (*ncvt > 0) {

574
lib/linalg/dgebal.cpp
View File

@ -3,17 +3,15 @@ extern "C" {
#endif
#include "lmp_f2c.h"
static integer c__1 = 1;
static integer c__0 = 0;
static integer c_n1 = -1;
int dgebal_(char *job, integer *n, doublereal *a, integer *lda, integer *ilo, integer *ihi,
doublereal *scale, integer *info, ftnlen job_len)
{
integer a_dim1, a_offset, i__1, i__2;
doublereal d__1, d__2;
doublereal c__, f, g;
integer i__, j, k, l, m;
integer i__, j, k, l;
doublereal r__, s, ca, ra;
integer ica, ira, iexc;
integer ica, ira;
extern doublereal dnrm2_(integer *, doublereal *, integer *);
extern int dscal_(integer *, doublereal *, doublereal *, integer *);
extern logical lsame_(char *, char *, ftnlen, ftnlen);
@ -23,7 +21,7 @@ int dgebal_(char *job, integer *n, doublereal *a, integer *lda, integer *ilo, in
extern integer idamax_(integer *, doublereal *, integer *);
extern logical disnan_(doublereal *);
extern int xerbla_(char *, integer *, ftnlen);
logical noconv;
logical noconv, canswap;
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -42,472 +40,168 @@ int dgebal_(char *job, integer *n, doublereal *a, integer *lda, integer *ilo, in
xerbla_((char *)"DGEBAL", &i__1, (ftnlen)6);
return 0;
}
k = 1;
l = *n;
if (*n == 0) {
goto L210;
*ilo = 1;
*ihi = 0;
return 0;
}
if (lsame_(job, (char *)"N", (ftnlen)1, (ftnlen)1)) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
scale[i__] = 1.;
}
goto L210;
*ilo = 1;
*ihi = *n;
return 0;
}
if (lsame_(job, (char *)"S", (ftnlen)1, (ftnlen)1)) {
goto L120;
}
goto L50;
L20:
scale[m] = (doublereal)j;
if (j == m) {
goto L30;
}
dswap_(&l, &a[j * a_dim1 + 1], &c__1, &a[m * a_dim1 + 1], &c__1);
i__1 = *n - k + 1;
dswap_(&i__1, &a[j + k * a_dim1], lda, &a[m + k * a_dim1], lda);
L30:
switch (iexc) {
case 1:
goto L40;
case 2:
goto L80;
}
L40:
if (l == 1) {
goto L210;
}
--l;
L50:
for (j = l; j >= 1; --j) {
i__1 = l;
for (i__ = 1; i__ <= i__1; ++i__) {
if (i__ == j) {
goto L60;
k = 1;
l = *n;
if (!lsame_(job, (char *)"S", (ftnlen)1, (ftnlen)1)) {
noconv = TRUE_;
while (noconv) {
noconv = FALSE_;
for (i__ = l; i__ >= 1; --i__) {
canswap = TRUE_;
i__1 = l;
for (j = 1; j <= i__1; ++j) {
if (i__ != j && a[i__ + j * a_dim1] != 0.) {
canswap = FALSE_;
goto L100;
}
}
L100:
if (canswap) {
scale[l] = (doublereal)i__;
if (i__ != l) {
dswap_(&l, &a[i__ * a_dim1 + 1], &c__1, &a[l * a_dim1 + 1], &c__1);
i__1 = *n - k + 1;
dswap_(&i__1, &a[i__ + k * a_dim1], lda, &a[l + k * a_dim1], lda);
}
noconv = TRUE_;
if (l == 1) {
*ilo = 1;
*ihi = 1;
return 0;
}
--l;
}
}
if (a[j + i__ * a_dim1] != 0.) {
goto L70;
}
L60:;
}
m = l;
iexc = 1;
goto L20;
L70:;
}
goto L90;
L80:
++k;
L90:
i__1 = l;
for (j = k; j <= i__1; ++j) {
i__2 = l;
for (i__ = k; i__ <= i__2; ++i__) {
if (i__ == j) {
goto L100;
noconv = TRUE_;
while (noconv) {
noconv = FALSE_;
i__1 = l;
for (j = k; j <= i__1; ++j) {
canswap = TRUE_;
i__2 = l;
for (i__ = k; i__ <= i__2; ++i__) {
if (i__ != j && a[i__ + j * a_dim1] != 0.) {
canswap = FALSE_;
goto L200;
}
}
L200:
if (canswap) {
scale[k] = (doublereal)j;
if (j != k) {
dswap_(&l, &a[j * a_dim1 + 1], &c__1, &a[k * a_dim1 + 1], &c__1);
i__2 = *n - k + 1;
dswap_(&i__2, &a[j + k * a_dim1], lda, &a[k + k * a_dim1], lda);
}
noconv = TRUE_;
++k;
}
}
if (a[i__ + j * a_dim1] != 0.) {
goto L110;
}
L100:;
}
m = k;
iexc = 2;
goto L20;
L110:;
}
L120:
i__1 = l;
for (i__ = k; i__ <= i__1; ++i__) {
scale[i__] = 1.;
}
if (lsame_(job, (char *)"P", (ftnlen)1, (ftnlen)1)) {
goto L210;
*ilo = k;
*ihi = l;
return 0;
}
sfmin1 = dlamch_((char *)"S", (ftnlen)1) / dlamch_((char *)"P", (ftnlen)1);
sfmax1 = 1. / sfmin1;
sfmin2 = sfmin1 * 2.;
sfmax2 = 1. / sfmin2;
L140:
noconv = FALSE_;
i__1 = l;
for (i__ = k; i__ <= i__1; ++i__) {
i__2 = l - k + 1;
c__ = dnrm2_(&i__2, &a[k + i__ * a_dim1], &c__1);
i__2 = l - k + 1;
r__ = dnrm2_(&i__2, &a[i__ + k * a_dim1], lda);
ica = idamax_(&l, &a[i__ * a_dim1 + 1], &c__1);
ca = (d__1 = a[ica + i__ * a_dim1], abs(d__1));
i__2 = *n - k + 1;
ira = idamax_(&i__2, &a[i__ + k * a_dim1], lda);
ra = (d__1 = a[i__ + (ira + k - 1) * a_dim1], abs(d__1));
if (c__ == 0. || r__ == 0.) {
goto L200;
}
g = r__ / 2.;
f = 1.;
s = c__ + r__;
L160:
d__1 = max(f, c__);
d__2 = min(r__, g);
if (c__ >= g || max(d__1, ca) >= sfmax2 || min(d__2, ra) <= sfmin2) {
goto L170;
}
d__1 = c__ + f + ca + r__ + g + ra;
if (disnan_(&d__1)) {
*info = -3;
i__2 = -(*info);
xerbla_((char *)"DGEBAL", &i__2, (ftnlen)6);
return 0;
}
f *= 2.;
c__ *= 2.;
ca *= 2.;
r__ /= 2.;
g /= 2.;
ra /= 2.;
goto L160;
L170:
g = c__ / 2.;
L180:
d__1 = min(f, c__), d__1 = min(d__1, g);
if (g < r__ || max(r__, ra) >= sfmax2 || min(d__1, ca) <= sfmin2) {
goto L190;
}
f /= 2.;
c__ /= 2.;
g /= 2.;
ca /= 2.;
r__ *= 2.;
ra *= 2.;
goto L180;
L190:
if (c__ + r__ >= s * .95) {
goto L200;
}
if (f < 1. && scale[i__] < 1.) {
if (f * scale[i__] <= sfmin1) {
goto L200;
noconv = TRUE_;
while (noconv) {
noconv = FALSE_;
i__1 = l;
for (i__ = k; i__ <= i__1; ++i__) {
i__2 = l - k + 1;
c__ = dnrm2_(&i__2, &a[k + i__ * a_dim1], &c__1);
i__2 = l - k + 1;
r__ = dnrm2_(&i__2, &a[i__ + k * a_dim1], lda);
ica = idamax_(&l, &a[i__ * a_dim1 + 1], &c__1);
ca = (d__1 = a[ica + i__ * a_dim1], abs(d__1));
i__2 = *n - k + 1;
ira = idamax_(&i__2, &a[i__ + k * a_dim1], lda);
ra = (d__1 = a[i__ + (ira + k - 1) * a_dim1], abs(d__1));
if (c__ == 0. || r__ == 0.) {
goto L300;
}
}
if (f > 1. && scale[i__] > 1.) {
if (scale[i__] >= sfmax1 / f) {
goto L200;
d__1 = c__ + ca + r__ + ra;
if (disnan_(&d__1)) {
*info = -3;
i__2 = -(*info);
xerbla_((char *)"DGEBAL", &i__2, (ftnlen)6);
return 0;
}
g = r__ / 2.;
f = 1.;
s = c__ + r__;
for (;;) {
d__1 = max(f, c__);
d__2 = min(r__, g);
if (!(c__ < g && max(d__1, ca) < sfmax2 && min(d__2, ra) > sfmin2)) break;
f *= 2.;
c__ *= 2.;
ca *= 2.;
r__ /= 2.;
g /= 2.;
ra /= 2.;
}
g = c__ / 2.;
for (;;) {
d__1 = min(f, c__), d__1 = min(d__1, g);
if (!(g >= r__ && max(r__, ra) < sfmax2 && min(d__1, ca) > sfmin2)) break;
f /= 2.;
c__ /= 2.;
g /= 2.;
ca /= 2.;
r__ *= 2.;
ra *= 2.;
}
if (c__ + r__ >= s * .95) {
goto L300;
}
if (f < 1. && scale[i__] < 1.) {
if (f * scale[i__] <= sfmin1) {
goto L300;
}
}
if (f > 1. && scale[i__] > 1.) {
if (scale[i__] >= sfmax1 / f) {
goto L300;
}
}
g = 1. / f;
scale[i__] *= f;
noconv = TRUE_;
i__2 = *n - k + 1;
dscal_(&i__2, &g, &a[i__ + k * a_dim1], lda);
dscal_(&l, &f, &a[i__ * a_dim1 + 1], &c__1);
L300:;
}
g = 1. / f;
scale[i__] *= f;
noconv = TRUE_;
i__2 = *n - k + 1;
dscal_(&i__2, &g, &a[i__ + k * a_dim1], lda);
dscal_(&l, &f, &a[i__ * a_dim1 + 1], &c__1);
L200:;
}
if (noconv) {
goto L140;
}
L210:
*ilo = k;
*ihi = l;
return 0;
}
int dgeev_(char *jobvl, char *jobvr, integer *n, doublereal *a, integer *lda, doublereal *wr,
doublereal *wi, doublereal *vl, integer *ldvl, doublereal *vr, integer *ldvr,
doublereal *work, integer *lwork, integer *info, ftnlen jobvl_len, ftnlen jobvr_len)
{
integer a_dim1, a_offset, vl_dim1, vl_offset, vr_dim1, vr_offset, i__1, i__2, i__3;
doublereal d__1, d__2;
double sqrt(doublereal);
integer i__, k;
doublereal r__, cs, sn;
integer ihi;
doublereal scl;
integer ilo;
doublereal dum[1], eps;
integer lwork_trevc__, ibal;
char side[1];
doublereal anrm;
integer ierr, itau;
extern int drot_(integer *, doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *);
integer iwrk, nout;
extern doublereal dnrm2_(integer *, doublereal *, integer *);
extern int dscal_(integer *, doublereal *, doublereal *, integer *);
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern doublereal dlapy2_(doublereal *, doublereal *);
extern int dlabad_(doublereal *, doublereal *),
dgebak_(char *, char *, integer *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, integer *, ftnlen, ftnlen),
dgebal_(char *, integer *, doublereal *, integer *, integer *, integer *, doublereal *,
integer *, ftnlen);
logical scalea;
extern doublereal dlamch_(char *, ftnlen);
doublereal cscale;
extern doublereal dlange_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
ftnlen);
extern int dgehrd_(integer *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, integer *),
dlascl_(char *, integer *, integer *, doublereal *, doublereal *, integer *, integer *,
doublereal *, integer *, integer *, ftnlen);
extern integer idamax_(integer *, doublereal *, integer *);
extern int dlacpy_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
integer *, ftnlen),
dlartg_(doublereal *, doublereal *, doublereal *, doublereal *, doublereal *),
xerbla_(char *, integer *, ftnlen);
logical select[1];
extern integer ilaenv_(integer *, char *, char *, integer *, integer *, integer *, integer *,
ftnlen, ftnlen);
doublereal bignum;
extern int dorghr_(integer *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, integer *),
dhseqr_(char *, char *, integer *, integer *, integer *, doublereal *, integer *,
doublereal *, doublereal *, doublereal *, integer *, doublereal *, integer *,
integer *, ftnlen, ftnlen);
integer minwrk, maxwrk;
logical wantvl;
doublereal smlnum;
integer hswork;
logical lquery, wantvr;
extern int dtrevc3_(char *, char *, logical *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, integer *, integer *, integer *, doublereal *,
integer *, integer *, ftnlen, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
--wr;
--wi;
vl_dim1 = *ldvl;
vl_offset = 1 + vl_dim1;
vl -= vl_offset;
vr_dim1 = *ldvr;
vr_offset = 1 + vr_dim1;
vr -= vr_offset;
--work;
*info = 0;
lquery = *lwork == -1;
wantvl = lsame_(jobvl, (char *)"V", (ftnlen)1, (ftnlen)1);
wantvr = lsame_(jobvr, (char *)"V", (ftnlen)1, (ftnlen)1);
if (!wantvl && !lsame_(jobvl, (char *)"N", (ftnlen)1, (ftnlen)1)) {
*info = -1;
} else if (!wantvr && !lsame_(jobvr, (char *)"N", (ftnlen)1, (ftnlen)1)) {
*info = -2;
} else if (*n < 0) {
*info = -3;
} else if (*lda < max(1, *n)) {
*info = -5;
} else if (*ldvl < 1 || wantvl && *ldvl < *n) {
*info = -9;
} else if (*ldvr < 1 || wantvr && *ldvr < *n) {
*info = -11;
}
if (*info == 0) {
if (*n == 0) {
minwrk = 1;
maxwrk = 1;
} else {
maxwrk = (*n << 1) +
*n * ilaenv_(&c__1, (char *)"DGEHRD", (char *)" ", n, &c__1, n, &c__0, (ftnlen)6, (ftnlen)1);
if (wantvl) {
minwrk = *n << 2;
i__1 = maxwrk,
i__2 = (*n << 1) + (*n - 1) * ilaenv_(&c__1, (char *)"DORGHR", (char *)" ", n, &c__1, n, &c_n1,
(ftnlen)6, (ftnlen)1);
maxwrk = max(i__1, i__2);
dhseqr_((char *)"S", (char *)"V", n, &c__1, n, &a[a_offset], lda, &wr[1], &wi[1], &vl[vl_offset],
ldvl, &work[1], &c_n1, info, (ftnlen)1, (ftnlen)1);
hswork = (integer)work[1];
i__1 = maxwrk, i__2 = *n + 1, i__1 = max(i__1, i__2), i__2 = *n + hswork;
maxwrk = max(i__1, i__2);
dtrevc3_((char *)"L", (char *)"B", select, n, &a[a_offset], lda, &vl[vl_offset], ldvl,
&vr[vr_offset], ldvr, n, &nout, &work[1], &c_n1, &ierr, (ftnlen)1,
(ftnlen)1);
lwork_trevc__ = (integer)work[1];
i__1 = maxwrk, i__2 = *n + lwork_trevc__;
maxwrk = max(i__1, i__2);
i__1 = maxwrk, i__2 = *n << 2;
maxwrk = max(i__1, i__2);
} else if (wantvr) {
minwrk = *n << 2;
i__1 = maxwrk,
i__2 = (*n << 1) + (*n - 1) * ilaenv_(&c__1, (char *)"DORGHR", (char *)" ", n, &c__1, n, &c_n1,
(ftnlen)6, (ftnlen)1);
maxwrk = max(i__1, i__2);
dhseqr_((char *)"S", (char *)"V", n, &c__1, n, &a[a_offset], lda, &wr[1], &wi[1], &vr[vr_offset],
ldvr, &work[1], &c_n1, info, (ftnlen)1, (ftnlen)1);
hswork = (integer)work[1];
i__1 = maxwrk, i__2 = *n + 1, i__1 = max(i__1, i__2), i__2 = *n + hswork;
maxwrk = max(i__1, i__2);
dtrevc3_((char *)"R", (char *)"B", select, n, &a[a_offset], lda, &vl[vl_offset], ldvl,
&vr[vr_offset], ldvr, n, &nout, &work[1], &c_n1, &ierr, (ftnlen)1,
(ftnlen)1);
lwork_trevc__ = (integer)work[1];
i__1 = maxwrk, i__2 = *n + lwork_trevc__;
maxwrk = max(i__1, i__2);
i__1 = maxwrk, i__2 = *n << 2;
maxwrk = max(i__1, i__2);
} else {
minwrk = *n * 3;
dhseqr_((char *)"E", (char *)"N", n, &c__1, n, &a[a_offset], lda, &wr[1], &wi[1], &vr[vr_offset],
ldvr, &work[1], &c_n1, info, (ftnlen)1, (ftnlen)1);
hswork = (integer)work[1];
i__1 = maxwrk, i__2 = *n + 1, i__1 = max(i__1, i__2), i__2 = *n + hswork;
maxwrk = max(i__1, i__2);
}
maxwrk = max(maxwrk, minwrk);
}
work[1] = (doublereal)maxwrk;
if (*lwork < minwrk && !lquery) {
*info = -13;
}
}
if (*info != 0) {
i__1 = -(*info);
xerbla_((char *)"DGEEV ", &i__1, (ftnlen)6);
return 0;
} else if (lquery) {
return 0;
}
if (*n == 0) {
return 0;
}
eps = dlamch_((char *)"P", (ftnlen)1);
smlnum = dlamch_((char *)"S", (ftnlen)1);
bignum = 1. / smlnum;
dlabad_(&smlnum, &bignum);
smlnum = sqrt(smlnum) / eps;
bignum = 1. / smlnum;
anrm = dlange_((char *)"M", n, n, &a[a_offset], lda, dum, (ftnlen)1);
scalea = FALSE_;
if (anrm > 0. && anrm < smlnum) {
scalea = TRUE_;
cscale = smlnum;
} else if (anrm > bignum) {
scalea = TRUE_;
cscale = bignum;
}
if (scalea) {
dlascl_((char *)"G", &c__0, &c__0, &anrm, &cscale, n, n, &a[a_offset], lda, &ierr, (ftnlen)1);
}
ibal = 1;
dgebal_((char *)"B", n, &a[a_offset], lda, &ilo, &ihi, &work[ibal], &ierr, (ftnlen)1);
itau = ibal + *n;
iwrk = itau + *n;
i__1 = *lwork - iwrk + 1;
dgehrd_(n, &ilo, &ihi, &a[a_offset], lda, &work[itau], &work[iwrk], &i__1, &ierr);
if (wantvl) {
*(unsigned char *)side = 'L';
dlacpy_((char *)"L", n, n, &a[a_offset], lda, &vl[vl_offset], ldvl, (ftnlen)1);
i__1 = *lwork - iwrk + 1;
dorghr_(n, &ilo, &ihi, &vl[vl_offset], ldvl, &work[itau], &work[iwrk], &i__1, &ierr);
iwrk = itau;
i__1 = *lwork - iwrk + 1;
dhseqr_((char *)"S", (char *)"V", n, &ilo, &ihi, &a[a_offset], lda, &wr[1], &wi[1], &vl[vl_offset], ldvl,
&work[iwrk], &i__1, info, (ftnlen)1, (ftnlen)1);
if (wantvr) {
*(unsigned char *)side = 'B';
dlacpy_((char *)"F", n, n, &vl[vl_offset], ldvl, &vr[vr_offset], ldvr, (ftnlen)1);
}
} else if (wantvr) {
*(unsigned char *)side = 'R';
dlacpy_((char *)"L", n, n, &a[a_offset], lda, &vr[vr_offset], ldvr, (ftnlen)1);
i__1 = *lwork - iwrk + 1;
dorghr_(n, &ilo, &ihi, &vr[vr_offset], ldvr, &work[itau], &work[iwrk], &i__1, &ierr);
iwrk = itau;
i__1 = *lwork - iwrk + 1;
dhseqr_((char *)"S", (char *)"V", n, &ilo, &ihi, &a[a_offset], lda, &wr[1], &wi[1], &vr[vr_offset], ldvr,
&work[iwrk], &i__1, info, (ftnlen)1, (ftnlen)1);
} else {
iwrk = itau;
i__1 = *lwork - iwrk + 1;
dhseqr_((char *)"E", (char *)"N", n, &ilo, &ihi, &a[a_offset], lda, &wr[1], &wi[1], &vr[vr_offset], ldvr,
&work[iwrk], &i__1, info, (ftnlen)1, (ftnlen)1);
}
if (*info != 0) {
goto L50;
}
if (wantvl || wantvr) {
i__1 = *lwork - iwrk + 1;
dtrevc3_(side, (char *)"B", select, n, &a[a_offset], lda, &vl[vl_offset], ldvl, &vr[vr_offset],
ldvr, n, &nout, &work[iwrk], &i__1, &ierr, (ftnlen)1, (ftnlen)1);
}
if (wantvl) {
dgebak_((char *)"B", (char *)"L", n, &ilo, &ihi, &work[ibal], n, &vl[vl_offset], ldvl, &ierr, (ftnlen)1,
(ftnlen)1);
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (wi[i__] == 0.) {
scl = 1. / dnrm2_(n, &vl[i__ * vl_dim1 + 1], &c__1);
dscal_(n, &scl, &vl[i__ * vl_dim1 + 1], &c__1);
} else if (wi[i__] > 0.) {
d__1 = dnrm2_(n, &vl[i__ * vl_dim1 + 1], &c__1);
d__2 = dnrm2_(n, &vl[(i__ + 1) * vl_dim1 + 1], &c__1);
scl = 1. / dlapy2_(&d__1, &d__2);
dscal_(n, &scl, &vl[i__ * vl_dim1 + 1], &c__1);
dscal_(n, &scl, &vl[(i__ + 1) * vl_dim1 + 1], &c__1);
i__2 = *n;
for (k = 1; k <= i__2; ++k) {
d__1 = vl[k + i__ * vl_dim1];
d__2 = vl[k + (i__ + 1) * vl_dim1];
work[iwrk + k - 1] = d__1 * d__1 + d__2 * d__2;
}
k = idamax_(n, &work[iwrk], &c__1);
dlartg_(&vl[k + i__ * vl_dim1], &vl[k + (i__ + 1) * vl_dim1], &cs, &sn, &r__);
drot_(n, &vl[i__ * vl_dim1 + 1], &c__1, &vl[(i__ + 1) * vl_dim1 + 1], &c__1, &cs,
&sn);
vl[k + (i__ + 1) * vl_dim1] = 0.;
}
}
}
if (wantvr) {
dgebak_((char *)"B", (char *)"R", n, &ilo, &ihi, &work[ibal], n, &vr[vr_offset], ldvr, &ierr, (ftnlen)1,
(ftnlen)1);
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (wi[i__] == 0.) {
scl = 1. / dnrm2_(n, &vr[i__ * vr_dim1 + 1], &c__1);
dscal_(n, &scl, &vr[i__ * vr_dim1 + 1], &c__1);
} else if (wi[i__] > 0.) {
d__1 = dnrm2_(n, &vr[i__ * vr_dim1 + 1], &c__1);
d__2 = dnrm2_(n, &vr[(i__ + 1) * vr_dim1 + 1], &c__1);
scl = 1. / dlapy2_(&d__1, &d__2);
dscal_(n, &scl, &vr[i__ * vr_dim1 + 1], &c__1);
dscal_(n, &scl, &vr[(i__ + 1) * vr_dim1 + 1], &c__1);
i__2 = *n;
for (k = 1; k <= i__2; ++k) {
d__1 = vr[k + i__ * vr_dim1];
d__2 = vr[k + (i__ + 1) * vr_dim1];
work[iwrk + k - 1] = d__1 * d__1 + d__2 * d__2;
}
k = idamax_(n, &work[iwrk], &c__1);
dlartg_(&vr[k + i__ * vr_dim1], &vr[k + (i__ + 1) * vr_dim1], &cs, &sn, &r__);
drot_(n, &vr[i__ * vr_dim1 + 1], &c__1, &vr[(i__ + 1) * vr_dim1 + 1], &c__1, &cs,
&sn);
vr[k + (i__ + 1) * vr_dim1] = 0.;
}
}
}
L50:
if (scalea) {
i__1 = *n - *info;
i__3 = *n - *info;
i__2 = max(i__3, 1);
dlascl_((char *)"G", &c__0, &c__0, &cscale, &anrm, &i__1, &c__1, &wr[*info + 1], &i__2, &ierr,
(ftnlen)1);
i__1 = *n - *info;
i__3 = *n - *info;
i__2 = max(i__3, 1);
dlascl_((char *)"G", &c__0, &c__0, &cscale, &anrm, &i__1, &c__1, &wi[*info + 1], &i__2, &ierr,
(ftnlen)1);
if (*info > 0) {
i__1 = ilo - 1;
dlascl_((char *)"G", &c__0, &c__0, &cscale, &anrm, &i__1, &c__1, &wr[1], n, &ierr, (ftnlen)1);
i__1 = ilo - 1;
dlascl_((char *)"G", &c__0, &c__0, &cscale, &anrm, &i__1, &c__1, &wi[1], n, &ierr, (ftnlen)1);
}
}
work[1] = (doublereal)maxwrk;
return 0;
}
#ifdef __cplusplus
}
#endif

32
lib/linalg/dgebd2.cpp
View File

@ -8,10 +8,10 @@ int dgebd2_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *d__
{
integer a_dim1, a_offset, i__1, i__2, i__3;
integer i__;
extern int dlarf_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen),
dlarfg_(integer *, doublereal *, doublereal *, integer *, doublereal *),
xerbla_(char *, integer *, ftnlen);
extern int dlarfg_(integer *, doublereal *, doublereal *, integer *, doublereal *),
xerbla_(char *, integer *, ftnlen),
dlarf1f_(char *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *,
integer *, doublereal *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -41,26 +41,22 @@ int dgebd2_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *d__
dlarfg_(&i__2, &a[i__ + i__ * a_dim1], &a[min(i__3, *m) + i__ * a_dim1], &c__1,
&tauq[i__]);
d__[i__] = a[i__ + i__ * a_dim1];
a[i__ + i__ * a_dim1] = 1.;
if (i__ < *n) {
i__2 = *m - i__ + 1;
i__3 = *n - i__;
dlarf_((char *)"Left", &i__2, &i__3, &a[i__ + i__ * a_dim1], &c__1, &tauq[i__],
&a[i__ + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)4);
dlarf1f_((char *)"L", &i__2, &i__3, &a[i__ + i__ * a_dim1], &c__1, &tauq[i__],
&a[i__ + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)1);
}
a[i__ + i__ * a_dim1] = d__[i__];
if (i__ < *n) {
i__2 = *n - i__;
i__3 = i__ + 2;
dlarfg_(&i__2, &a[i__ + (i__ + 1) * a_dim1], &a[i__ + min(i__3, *n) * a_dim1], lda,
&taup[i__]);
e[i__] = a[i__ + (i__ + 1) * a_dim1];
a[i__ + (i__ + 1) * a_dim1] = 1.;
i__2 = *m - i__;
i__3 = *n - i__;
dlarf_((char *)"Right", &i__2, &i__3, &a[i__ + (i__ + 1) * a_dim1], lda, &taup[i__],
&a[i__ + 1 + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)5);
a[i__ + (i__ + 1) * a_dim1] = e[i__];
dlarf1f_((char *)"R", &i__2, &i__3, &a[i__ + (i__ + 1) * a_dim1], lda, &taup[i__],
&a[i__ + 1 + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)1);
} else {
taup[i__] = 0.;
}
@ -73,26 +69,22 @@ int dgebd2_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *d__
dlarfg_(&i__2, &a[i__ + i__ * a_dim1], &a[i__ + min(i__3, *n) * a_dim1], lda,
&taup[i__]);
d__[i__] = a[i__ + i__ * a_dim1];
a[i__ + i__ * a_dim1] = 1.;
if (i__ < *m) {
i__2 = *m - i__;
i__3 = *n - i__ + 1;
dlarf_((char *)"Right", &i__2, &i__3, &a[i__ + i__ * a_dim1], lda, &taup[i__],
&a[i__ + 1 + i__ * a_dim1], lda, &work[1], (ftnlen)5);
dlarf1f_((char *)"R", &i__2, &i__3, &a[i__ + i__ * a_dim1], lda, &taup[i__],
&a[i__ + 1 + i__ * a_dim1], lda, &work[1], (ftnlen)1);
}
a[i__ + i__ * a_dim1] = d__[i__];
if (i__ < *m) {
i__2 = *m - i__;
i__3 = i__ + 2;
dlarfg_(&i__2, &a[i__ + 1 + i__ * a_dim1], &a[min(i__3, *m) + i__ * a_dim1], &c__1,
&tauq[i__]);
e[i__] = a[i__ + 1 + i__ * a_dim1];
a[i__ + 1 + i__ * a_dim1] = 1.;
i__2 = *m - i__;
i__3 = *n - i__;
dlarf_((char *)"Left", &i__2, &i__3, &a[i__ + 1 + i__ * a_dim1], &c__1, &tauq[i__],
&a[i__ + 1 + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)4);
a[i__ + 1 + i__ * a_dim1] = e[i__];
dlarf1f_((char *)"L", &i__2, &i__3, &a[i__ + 1 + i__ * a_dim1], &c__1, &tauq[i__],
&a[i__ + 1 + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)1);
} else {
tauq[i__] = 0.;
}

35
lib/linalg/dgebrd.cpp
View File

@ -25,7 +25,7 @@ int dgebrd_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *d__
xerbla_(char *, integer *, ftnlen);
extern integer ilaenv_(integer *, char *, char *, integer *, integer *, integer *, integer *,
ftnlen, ftnlen);
integer ldwrkx, ldwrky, lwkopt;
integer lwkmin, ldwrkx, ldwrky, lwkopt;
logical lquery;
a_dim1 = *lda;
a_offset = 1 + a_dim1;
@ -36,9 +36,16 @@ int dgebrd_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *d__
--taup;
--work;
*info = 0;
i__1 = 1, i__2 = ilaenv_(&c__1, (char *)"DGEBRD", (char *)" ", m, n, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
nb = max(i__1, i__2);
lwkopt = (*m + *n) * nb;
minmn = min(*m, *n);
if (minmn == 0) {
lwkmin = 1;
lwkopt = 1;
} else {
lwkmin = max(*m, *n);
i__1 = 1, i__2 = ilaenv_(&c__1, (char *)"DGEBRD", (char *)" ", m, n, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
nb = max(i__1, i__2);
lwkopt = (*m + *n) * nb;
}
work[1] = (doublereal)lwkopt;
lquery = *lwork == -1;
if (*m < 0) {
@ -47,11 +54,8 @@ int dgebrd_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *d__
*info = -2;
} else if (*lda < max(1, *m)) {
*info = -4;
} else {
i__1 = max(1, *m);
if (*lwork < max(i__1, *n) && !lquery) {
*info = -10;
}
} else if (*lwork < lwkmin && !lquery) {
*info = -10;
}
if (*info < 0) {
i__1 = -(*info);
@ -60,7 +64,6 @@ int dgebrd_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *d__
} else if (lquery) {
return 0;
}
minmn = min(*m, *n);
if (minmn == 0) {
work[1] = 1.;
return 0;
@ -72,7 +75,7 @@ int dgebrd_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *d__
i__1 = nb, i__2 = ilaenv_(&c__3, (char *)"DGEBRD", (char *)" ", m, n, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
nx = max(i__1, i__2);
if (nx < minmn) {
ws = (*m + *n) * nb;
ws = lwkopt;
if (*lwork < ws) {
nbmin = ilaenv_(&c__2, (char *)"DGEBRD", (char *)" ", m, n, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
if (*lwork >= (*m + *n) * nbmin) {
@ -95,14 +98,14 @@ int dgebrd_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *d__
&taup[i__], &work[1], &ldwrkx, &work[ldwrkx * nb + 1], &ldwrky);
i__3 = *m - i__ - nb + 1;
i__4 = *n - i__ - nb + 1;
dgemm_((char *)"No transpose", (char *)"Transpose", &i__3, &i__4, &nb, &c_b21, &a[i__ + nb + i__ * a_dim1],
lda, &work[ldwrkx * nb + nb + 1], &ldwrky, &c_b22,
&a[i__ + nb + (i__ + nb) * a_dim1], lda, (ftnlen)12, (ftnlen)9);
dgemm_((char *)"N", (char *)"T", &i__3, &i__4, &nb, &c_b21, &a[i__ + nb + i__ * a_dim1], lda,
&work[ldwrkx * nb + nb + 1], &ldwrky, &c_b22, &a[i__ + nb + (i__ + nb) * a_dim1],
lda, (ftnlen)1, (ftnlen)1);
i__3 = *m - i__ - nb + 1;
i__4 = *n - i__ - nb + 1;
dgemm_((char *)"No transpose", (char *)"No transpose", &i__3, &i__4, &nb, &c_b21, &work[nb + 1], &ldwrkx,
dgemm_((char *)"N", (char *)"N", &i__3, &i__4, &nb, &c_b21, &work[nb + 1], &ldwrkx,
&a[i__ + (i__ + nb) * a_dim1], lda, &c_b22, &a[i__ + nb + (i__ + nb) * a_dim1], lda,
(ftnlen)12, (ftnlen)12);
(ftnlen)1, (ftnlen)1);
if (*m >= *n) {
i__3 = i__ + nb - 1;
for (j = i__; j <= i__3; ++j) {

16
lib/linalg/dgecon.cpp
View File

@ -78,15 +78,15 @@ L10:
dlacn2_(n, &work[*n + 1], &work[1], &iwork[1], &ainvnm, &kase, isave);
if (kase != 0) {
if (kase == kase1) {
dlatrs_((char *)"Lower", (char *)"No transpose", (char *)"Unit", normin, n, &a[a_offset], lda, &work[1], &sl,
&work[(*n << 1) + 1], info, (ftnlen)5, (ftnlen)12, (ftnlen)4, (ftnlen)1);
dlatrs_((char *)"Upper", (char *)"No transpose", (char *)"Non-unit", normin, n, &a[a_offset], lda, &work[1],
&su, &work[*n * 3 + 1], info, (ftnlen)5, (ftnlen)12, (ftnlen)8, (ftnlen)1);
dlatrs_((char *)"L", (char *)"N", (char *)"U", normin, n, &a[a_offset], lda, &work[1], &sl,
&work[(*n << 1) + 1], info, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
dlatrs_((char *)"U", (char *)"N", (char *)"N", normin, n, &a[a_offset], lda, &work[1], &su, &work[*n * 3 + 1],
info, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
} else {
dlatrs_((char *)"Upper", (char *)"Transpose", (char *)"Non-unit", normin, n, &a[a_offset], lda, &work[1], &su,
&work[*n * 3 + 1], info, (ftnlen)5, (ftnlen)9, (ftnlen)8, (ftnlen)1);
dlatrs_((char *)"Lower", (char *)"Transpose", (char *)"Unit", normin, n, &a[a_offset], lda, &work[1], &sl,
&work[(*n << 1) + 1], info, (ftnlen)5, (ftnlen)9, (ftnlen)4, (ftnlen)1);
dlatrs_((char *)"U", (char *)"T", (char *)"N", normin, n, &a[a_offset], lda, &work[1], &su, &work[*n * 3 + 1],
info, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
dlatrs_((char *)"L", (char *)"T", (char *)"U", normin, n, &a[a_offset], lda, &work[1], &sl,
&work[(*n << 1) + 1], info, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
scale = sl * su;
*(unsigned char *)normin = 'Y';

20
lib/linalg/dgehd2.cpp
View File

@ -8,11 +8,10 @@ int dgehd2_(integer *n, integer *ilo, integer *ihi, doublereal *a, integer *lda,
{
integer a_dim1, a_offset, i__1, i__2, i__3;
integer i__;
doublereal aii;
extern int dlarf_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen),
dlarfg_(integer *, doublereal *, doublereal *, integer *, doublereal *),
xerbla_(char *, integer *, ftnlen);
extern int dlarfg_(integer *, doublereal *, doublereal *, integer *, doublereal *),
xerbla_(char *, integer *, ftnlen),
dlarf1f_(char *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *,
integer *, doublereal *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -39,16 +38,13 @@ int dgehd2_(integer *n, integer *ilo, integer *ihi, doublereal *a, integer *lda,
i__3 = i__ + 2;
dlarfg_(&i__2, &a[i__ + 1 + i__ * a_dim1], &a[min(i__3, *n) + i__ * a_dim1], &c__1,
&tau[i__]);
aii = a[i__ + 1 + i__ * a_dim1];
a[i__ + 1 + i__ * a_dim1] = 1.;
i__2 = *ihi - i__;
dlarf_((char *)"Right", ihi, &i__2, &a[i__ + 1 + i__ * a_dim1], &c__1, &tau[i__],
&a[(i__ + 1) * a_dim1 + 1], lda, &work[1], (ftnlen)5);
dlarf1f_((char *)"R", ihi, &i__2, &a[i__ + 1 + i__ * a_dim1], &c__1, &tau[i__],
&a[(i__ + 1) * a_dim1 + 1], lda, &work[1], (ftnlen)1);
i__2 = *ihi - i__;
i__3 = *n - i__;
dlarf_((char *)"Left", &i__2, &i__3, &a[i__ + 1 + i__ * a_dim1], &c__1, &tau[i__],
&a[i__ + 1 + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)4);
a[i__ + 1 + i__ * a_dim1] = aii;
dlarf1f_((char *)"L", &i__2, &i__3, &a[i__ + 1 + i__ * a_dim1], &c__1, &tau[i__],
&a[i__ + 1 + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)1);
}
return 0;
}

31
lib/linalg/dgehrd.cpp
View File

@ -54,10 +54,16 @@ int dgehrd_(integer *n, integer *ilo, integer *ihi, doublereal *a, integer *lda,
} else if (*lwork < max(1, *n) && !lquery) {
*info = -8;
}
nh = *ihi - *ilo + 1;
if (*info == 0) {
i__1 = 64, i__2 = ilaenv_(&c__1, (char *)"DGEHRD", (char *)" ", n, ilo, ihi, &c_n1, (ftnlen)6, (ftnlen)1);
nb = min(i__1, i__2);
lwkopt = *n * nb + 4160;
if (nh <= 1) {
lwkopt = 1;
} else {
i__1 = 64,
i__2 = ilaenv_(&c__1, (char *)"DGEHRD", (char *)" ", n, ilo, ihi, &c_n1, (ftnlen)6, (ftnlen)1);
nb = min(i__1, i__2);
lwkopt = *n * nb + 4160;
}
work[1] = (doublereal)lwkopt;
}
if (*info != 0) {
@ -75,7 +81,6 @@ int dgehrd_(integer *n, integer *ilo, integer *ihi, doublereal *a, integer *lda,
for (i__ = max(1, *ihi); i__ <= i__1; ++i__) {
tau[i__] = 0.;
}
nh = *ihi - *ilo + 1;
if (nh <= 1) {
work[1] = 1.;
return 0;
@ -87,7 +92,7 @@ int dgehrd_(integer *n, integer *ilo, integer *ihi, doublereal *a, integer *lda,
i__1 = nb, i__2 = ilaenv_(&c__3, (char *)"DGEHRD", (char *)" ", n, ilo, ihi, &c_n1, (ftnlen)6, (ftnlen)1);
nx = max(i__1, i__2);
if (nx < nh) {
if (*lwork < *n * nb + 4160) {
if (*lwork < lwkopt) {
i__1 = 2,
i__2 = ilaenv_(&c__2, (char *)"DGEHRD", (char *)" ", n, ilo, ihi, &c_n1, (ftnlen)6, (ftnlen)1);
nbmin = max(i__1, i__2);
@ -114,14 +119,13 @@ int dgehrd_(integer *n, integer *ilo, integer *ihi, doublereal *a, integer *lda,
ei = a[i__ + ib + (i__ + ib - 1) * a_dim1];
a[i__ + ib + (i__ + ib - 1) * a_dim1] = 1.;
i__3 = *ihi - i__ - ib + 1;
dgemm_((char *)"No transpose", (char *)"Transpose", ihi, &i__3, &ib, &c_b25, &work[1], &ldwork,
dgemm_((char *)"N", (char *)"T", ihi, &i__3, &ib, &c_b25, &work[1], &ldwork,
&a[i__ + ib + i__ * a_dim1], lda, &c_b26, &a[(i__ + ib) * a_dim1 + 1], lda,
(ftnlen)12, (ftnlen)9);
(ftnlen)1, (ftnlen)1);
a[i__ + ib + (i__ + ib - 1) * a_dim1] = ei;
i__3 = ib - 1;
dtrmm_((char *)"Right", (char *)"Lower", (char *)"Transpose", (char *)"Unit", &i__, &i__3, &c_b26,
&a[i__ + 1 + i__ * a_dim1], lda, &work[1], &ldwork, (ftnlen)5, (ftnlen)5,
(ftnlen)9, (ftnlen)4);
dtrmm_((char *)"R", (char *)"L", (char *)"T", (char *)"U", &i__, &i__3, &c_b26, &a[i__ + 1 + i__ * a_dim1], lda,
&work[1], &ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__3 = ib - 2;
for (j = 0; j <= i__3; ++j) {
daxpy_(&i__, &c_b25, &work[ldwork * j + 1], &c__1, &a[(i__ + j + 1) * a_dim1 + 1],
@ -129,10 +133,9 @@ int dgehrd_(integer *n, integer *ilo, integer *ihi, doublereal *a, integer *lda,
}
i__3 = *ihi - i__;
i__4 = *n - i__ - ib + 1;
dlarfb_((char *)"Left", (char *)"Transpose", (char *)"Forward", (char *)"Columnwise", &i__3, &i__4, &ib,
&a[i__ + 1 + i__ * a_dim1], lda, &work[iwt], &c__65,
&a[i__ + 1 + (i__ + ib) * a_dim1], lda, &work[1], &ldwork, (ftnlen)4, (ftnlen)9,
(ftnlen)7, (ftnlen)10);
dlarfb_((char *)"L", (char *)"T", (char *)"F", (char *)"C", &i__3, &i__4, &ib, &a[i__ + 1 + i__ * a_dim1], lda,
&work[iwt], &c__65, &a[i__ + 1 + (i__ + ib) * a_dim1], lda, &work[1], &ldwork,
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
}
dgehd2_(n, &i__, ihi, &a[a_offset], lda, &tau[1], &work[1], &iinfo);

16
lib/linalg/dgelq2.cpp
View File

@ -7,11 +7,10 @@ int dgelq2_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *tau
{
integer a_dim1, a_offset, i__1, i__2, i__3;
integer i__, k;
doublereal aii;
extern int dlarf_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen),
dlarfg_(integer *, doublereal *, doublereal *, integer *, doublereal *),
xerbla_(char *, integer *, ftnlen);
extern int dlarfg_(integer *, doublereal *, doublereal *, integer *, doublereal *),
xerbla_(char *, integer *, ftnlen),
dlarf1f_(char *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *,
integer *, doublereal *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -37,13 +36,10 @@ int dgelq2_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *tau
i__3 = i__ + 1;
dlarfg_(&i__2, &a[i__ + i__ * a_dim1], &a[i__ + min(i__3, *n) * a_dim1], lda, &tau[i__]);
if (i__ < *m) {
aii = a[i__ + i__ * a_dim1];
a[i__ + i__ * a_dim1] = 1.;
i__2 = *m - i__;
i__3 = *n - i__ + 1;
dlarf_((char *)"Right", &i__2, &i__3, &a[i__ + i__ * a_dim1], lda, &tau[i__],
&a[i__ + 1 + i__ * a_dim1], lda, &work[1], (ftnlen)5);
a[i__ + i__ * a_dim1] = aii;
dlarf1f_((char *)"R", &i__2, &i__3, &a[i__ + i__ * a_dim1], lda, &tau[i__],
&a[i__ + 1 + i__ * a_dim1], lda, &work[1], (ftnlen)1);
}
}
return 0;

26
lib/linalg/dgelqf.cpp
View File

@ -29,9 +29,8 @@ int dgelqf_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *tau
--tau;
--work;
*info = 0;
k = min(*m, *n);
nb = ilaenv_(&c__1, (char *)"DGELQF", (char *)" ", m, n, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
lwkopt = *m * nb;
work[1] = (doublereal)lwkopt;
lquery = *lwork == -1;
if (*m < 0) {
*info = -1;
@ -39,17 +38,24 @@ int dgelqf_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *tau
*info = -2;
} else if (*lda < max(1, *m)) {
*info = -4;
} else if (*lwork < max(1, *m) && !lquery) {
*info = -7;
} else if (!lquery) {
if (*lwork <= 0 || *n > 0 && *lwork < max(1, *m)) {
*info = -7;
}
}
if (*info != 0) {
i__1 = -(*info);
xerbla_((char *)"DGELQF", &i__1, (ftnlen)6);
return 0;
} else if (lquery) {
if (k == 0) {
lwkopt = 1;
} else {
lwkopt = *m * nb;
}
work[1] = (doublereal)lwkopt;
return 0;
}
k = min(*m, *n);
if (k == 0) {
work[1] = 1.;
return 0;
@ -81,13 +87,13 @@ int dgelqf_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *tau
dgelq2_(&ib, &i__3, &a[i__ + i__ * a_dim1], lda, &tau[i__], &work[1], &iinfo);
if (i__ + ib <= *m) {
i__3 = *n - i__ + 1;
dlarft_((char *)"Forward", (char *)"Rowwise", &i__3, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__],
&work[1], &ldwork, (ftnlen)7, (ftnlen)7);
dlarft_((char *)"F", (char *)"R", &i__3, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__], &work[1],
&ldwork, (ftnlen)1, (ftnlen)1);
i__3 = *m - i__ - ib + 1;
i__4 = *n - i__ + 1;
dlarfb_((char *)"Right", (char *)"No transpose", (char *)"Forward", (char *)"Rowwise", &i__3, &i__4, &ib,
&a[i__ + i__ * a_dim1], lda, &work[1], &ldwork, &a[i__ + ib + i__ * a_dim1],
lda, &work[ib + 1], &ldwork, (ftnlen)5, (ftnlen)12, (ftnlen)7, (ftnlen)7);
dlarfb_((char *)"R", (char *)"N", (char *)"F", (char *)"R", &i__3, &i__4, &ib, &a[i__ + i__ * a_dim1], lda,
&work[1], &ldwork, &a[i__ + ib + i__ * a_dim1], lda, &work[ib + 1], &ldwork,
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
}
} else {

2
lib/linalg/dgelsd.cpp
View File

@ -86,7 +86,7 @@ int dgelsd_(integer *m, integer *n, integer *nrhs, doublereal *a, integer *lda,
i__1 = (integer)(log((doublereal)minmn / (doublereal)(smlsiz + 1)) / log(2.)) + 1;
nlvl = max(i__1, 0);
if (*info == 0) {
maxwrk = 0;
maxwrk = 1;
liwork = minmn * 3 * nlvl + minmn * 11;
mm = *m;
if (*m >= *n && *m >= mnthr) {

16
lib/linalg/dgeqr2.cpp
View File

@ -8,11 +8,10 @@ int dgeqr2_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *tau
{
integer a_dim1, a_offset, i__1, i__2, i__3;
integer i__, k;
doublereal aii;
extern int dlarf_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen),
dlarfg_(integer *, doublereal *, doublereal *, integer *, doublereal *),
xerbla_(char *, integer *, ftnlen);
extern int dlarfg_(integer *, doublereal *, doublereal *, integer *, doublereal *),
xerbla_(char *, integer *, ftnlen),
dlarf1f_(char *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *,
integer *, doublereal *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -38,13 +37,10 @@ int dgeqr2_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *tau
i__3 = i__ + 1;
dlarfg_(&i__2, &a[i__ + i__ * a_dim1], &a[min(i__3, *m) + i__ * a_dim1], &c__1, &tau[i__]);
if (i__ < *n) {
aii = a[i__ + i__ * a_dim1];
a[i__ + i__ * a_dim1] = 1.;
i__2 = *m - i__ + 1;
i__3 = *n - i__;
dlarf_((char *)"Left", &i__2, &i__3, &a[i__ + i__ * a_dim1], &c__1, &tau[i__],
&a[i__ + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)4);
a[i__ + i__ * a_dim1] = aii;
dlarf1f_((char *)"L", &i__2, &i__3, &a[i__ + i__ * a_dim1], &c__1, &tau[i__],
&a[i__ + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)1);
}
}
return 0;

11
lib/linalg/dgeqrf.cpp
View File

@ -87,14 +87,13 @@ int dgeqrf_(integer *m, integer *n, doublereal *a, integer *lda, doublereal *tau
dgeqr2_(&i__3, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__], &work[1], &iinfo);
if (i__ + ib <= *n) {
i__3 = *m - i__ + 1;
dlarft_((char *)"Forward", (char *)"Columnwise", &i__3, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__],
&work[1], &ldwork, (ftnlen)7, (ftnlen)10);
dlarft_((char *)"F", (char *)"C", &i__3, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__], &work[1],
&ldwork, (ftnlen)1, (ftnlen)1);
i__3 = *m - i__ + 1;
i__4 = *n - i__ - ib + 1;
dlarfb_((char *)"Left", (char *)"Transpose", (char *)"Forward", (char *)"Columnwise", &i__3, &i__4, &ib,
&a[i__ + i__ * a_dim1], lda, &work[1], &ldwork,
&a[i__ + (i__ + ib) * a_dim1], lda, &work[ib + 1], &ldwork, (ftnlen)4,
(ftnlen)9, (ftnlen)7, (ftnlen)10);
dlarfb_((char *)"L", (char *)"T", (char *)"F", (char *)"C", &i__3, &i__4, &ib, &a[i__ + i__ * a_dim1], lda,
&work[1], &ldwork, &a[i__ + (i__ + ib) * a_dim1], lda, &work[ib + 1],
&ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
}
} else {

10
lib/linalg/dgesdd.cpp
View File

@ -49,6 +49,7 @@ int dgesdd_(char *jobz, integer *m, integer *n, doublereal *a, integer *lda, dou
xerbla_(char *, integer *, ftnlen),
dorgbr_(char *, integer *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, integer *, ftnlen);
extern logical disnan_(doublereal *);
doublereal bignum;
extern int dormbr_(char *, char *, char *, integer *, integer *, integer *, doublereal *,
integer *, doublereal *, doublereal *, integer *, doublereal *, integer *,
@ -60,6 +61,7 @@ int dgesdd_(char *jobz, integer *m, integer *n, doublereal *a, integer *lda, dou
integer ldwrkl, ldwrkr, minwrk, ldwrku, maxwrk, ldwkvt;
doublereal smlnum;
logical wntqas, lquery;
extern doublereal droundup_lwork__(integer *);
integer lwork_dgebrd_mm__, lwork_dgebrd_mn__, lwork_dgebrd_nn__, lwork_dgelqf_mn__,
lwork_dgeqrf_mn__;
a_dim1 = *lda;
@ -335,7 +337,7 @@ int dgesdd_(char *jobz, integer *m, integer *n, doublereal *a, integer *lda, dou
}
}
maxwrk = max(maxwrk, minwrk);
work[1] = (doublereal)maxwrk;
work[1] = droundup_lwork__(&maxwrk);
if (*lwork < minwrk && !lquery) {
*info = -12;
}
@ -354,6 +356,10 @@ int dgesdd_(char *jobz, integer *m, integer *n, doublereal *a, integer *lda, dou
smlnum = sqrt(dlamch_((char *)"S", (ftnlen)1)) / eps;
bignum = 1. / smlnum;
anrm = dlange_((char *)"M", m, n, &a[a_offset], lda, dum, (ftnlen)1);
if (disnan_(&anrm)) {
*info = -4;
return 0;
}
iscl = 0;
if (anrm > 0. && anrm < smlnum) {
iscl = 1;
@ -780,7 +786,7 @@ int dgesdd_(char *jobz, integer *m, integer *n, doublereal *a, integer *lda, dou
(ftnlen)1);
}
}
work[1] = (doublereal)maxwrk;
work[1] = droundup_lwork__(&maxwrk);
return 0;
}
#ifdef __cplusplus

3
lib/linalg/dgesv.cpp
View File

@ -34,8 +34,7 @@ int dgesv_(integer *n, integer *nrhs, doublereal *a, integer *lda, integer *ipiv
}
dgetrf_(n, n, &a[a_offset], lda, &ipiv[1], info);
if (*info == 0) {
dgetrs_((char *)"No transpose", n, nrhs, &a[a_offset], lda, &ipiv[1], &b[b_offset], ldb, info,
(ftnlen)12);
dgetrs_((char *)"N", n, nrhs, &a[a_offset], lda, &ipiv[1], &b[b_offset], ldb, info, (ftnlen)1);
}
return 0;
}

11
lib/linalg/dgetrf.cpp
View File

@ -70,15 +70,14 @@ int dgetrf_(integer *m, integer *n, doublereal *a, integer *lda, integer *ipiv,
i__4 = j + jb - 1;
dlaswp_(&i__3, &a[(j + jb) * a_dim1 + 1], lda, &j, &i__4, &ipiv[1], &c__1);
i__3 = *n - j - jb + 1;
dtrsm_((char *)"Left", (char *)"Lower", (char *)"No transpose", (char *)"Unit", &jb, &i__3, &c_b16,
&a[j + j * a_dim1], lda, &a[j + (j + jb) * a_dim1], lda, (ftnlen)4,
(ftnlen)5, (ftnlen)12, (ftnlen)4);
dtrsm_((char *)"L", (char *)"L", (char *)"N", (char *)"U", &jb, &i__3, &c_b16, &a[j + j * a_dim1], lda,
&a[j + (j + jb) * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (j + jb <= *m) {
i__3 = *m - j - jb + 1;
i__4 = *n - j - jb + 1;
dgemm_((char *)"No transpose", (char *)"No transpose", &i__3, &i__4, &jb, &c_b19,
&a[j + jb + j * a_dim1], lda, &a[j + (j + jb) * a_dim1], lda, &c_b16,
&a[j + jb + (j + jb) * a_dim1], lda, (ftnlen)12, (ftnlen)12);
dgemm_((char *)"N", (char *)"N", &i__3, &i__4, &jb, &c_b19, &a[j + jb + j * a_dim1], lda,
&a[j + (j + jb) * a_dim1], lda, &c_b16, &a[j + jb + (j + jb) * a_dim1],
lda, (ftnlen)1, (ftnlen)1);
}
}
}

19
lib/linalg/dgetri.cpp
View File

@ -36,7 +36,8 @@ int dgetri_(integer *n, doublereal *a, integer *lda, integer *ipiv, doublereal *
--work;
*info = 0;
nb = ilaenv_(&c__1, (char *)"DGETRI", (char *)" ", n, &c_n1, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
lwkopt = *n * nb;
i__1 = 1, i__2 = *n * nb;
lwkopt = max(i__1, i__2);
work[1] = (doublereal)lwkopt;
lquery = *lwork == -1;
if (*n < 0) {
@ -56,7 +57,7 @@ int dgetri_(integer *n, doublereal *a, integer *lda, integer *ipiv, doublereal *
if (*n == 0) {
return 0;
}
dtrtri_((char *)"Upper", (char *)"Non-unit", n, &a[a_offset], lda, info, (ftnlen)5, (ftnlen)8);
dtrtri_((char *)"U", (char *)"N", n, &a[a_offset], lda, info, (ftnlen)1, (ftnlen)1);
if (*info > 0) {
return 0;
}
@ -83,8 +84,8 @@ int dgetri_(integer *n, doublereal *a, integer *lda, integer *ipiv, doublereal *
}
if (j < *n) {
i__1 = *n - j;
dgemv_((char *)"No transpose", n, &i__1, &c_b20, &a[(j + 1) * a_dim1 + 1], lda,
&work[j + 1], &c__1, &c_b22, &a[j * a_dim1 + 1], &c__1, (ftnlen)12);
dgemv_((char *)"N", n, &i__1, &c_b20, &a[(j + 1) * a_dim1 + 1], lda, &work[j + 1], &c__1,
&c_b22, &a[j * a_dim1 + 1], &c__1, (ftnlen)1);
}
}
} else {
@ -103,12 +104,12 @@ int dgetri_(integer *n, doublereal *a, integer *lda, integer *ipiv, doublereal *
}
if (j + jb <= *n) {
i__2 = *n - j - jb + 1;
dgemm_((char *)"No transpose", (char *)"No transpose", n, &jb, &i__2, &c_b20,
&a[(j + jb) * a_dim1 + 1], lda, &work[j + jb], &ldwork, &c_b22,
&a[j * a_dim1 + 1], lda, (ftnlen)12, (ftnlen)12);
dgemm_((char *)"N", (char *)"N", n, &jb, &i__2, &c_b20, &a[(j + jb) * a_dim1 + 1], lda,
&work[j + jb], &ldwork, &c_b22, &a[j * a_dim1 + 1], lda, (ftnlen)1,
(ftnlen)1);
}
dtrsm_((char *)"Right", (char *)"Lower", (char *)"No transpose", (char *)"Unit", n, &jb, &c_b22, &work[j], &ldwork,
&a[j * a_dim1 + 1], lda, (ftnlen)5, (ftnlen)5, (ftnlen)12, (ftnlen)4);
dtrsm_((char *)"R", (char *)"L", (char *)"N", (char *)"U", n, &jb, &c_b22, &work[j], &ldwork, &a[j * a_dim1 + 1], lda,
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
}
for (j = *n - 1; j >= 1; --j) {

16
lib/linalg/dgetrs.cpp
View File

@ -47,15 +47,15 @@ int dgetrs_(char *trans, integer *n, integer *nrhs, doublereal *a, integer *lda,
}
if (notran) {
dlaswp_(nrhs, &b[b_offset], ldb, &c__1, n, &ipiv[1], &c__1);
dtrsm_((char *)"Left", (char *)"Lower", (char *)"No transpose", (char *)"Unit", n, nrhs, &c_b12, &a[a_offset], lda,
&b[b_offset], ldb, (ftnlen)4, (ftnlen)5, (ftnlen)12, (ftnlen)4);
dtrsm_((char *)"Left", (char *)"Upper", (char *)"No transpose", (char *)"Non-unit", n, nrhs, &c_b12, &a[a_offset], lda,
&b[b_offset], ldb, (ftnlen)4, (ftnlen)5, (ftnlen)12, (ftnlen)8);
dtrsm_((char *)"L", (char *)"L", (char *)"N", (char *)"U", n, nrhs, &c_b12, &a[a_offset], lda, &b[b_offset], ldb, (ftnlen)1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
dtrsm_((char *)"L", (char *)"U", (char *)"N", (char *)"N", n, nrhs, &c_b12, &a[a_offset], lda, &b[b_offset], ldb, (ftnlen)1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
} else {
dtrsm_((char *)"Left", (char *)"Upper", (char *)"Transpose", (char *)"Non-unit", n, nrhs, &c_b12, &a[a_offset], lda,
&b[b_offset], ldb, (ftnlen)4, (ftnlen)5, (ftnlen)9, (ftnlen)8);
dtrsm_((char *)"Left", (char *)"Lower", (char *)"Transpose", (char *)"Unit", n, nrhs, &c_b12, &a[a_offset], lda,
&b[b_offset], ldb, (ftnlen)4, (ftnlen)5, (ftnlen)9, (ftnlen)4);
dtrsm_((char *)"L", (char *)"U", (char *)"T", (char *)"N", n, nrhs, &c_b12, &a[a_offset], lda, &b[b_offset], ldb, (ftnlen)1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
dtrsm_((char *)"L", (char *)"L", (char *)"T", (char *)"U", n, nrhs, &c_b12, &a[a_offset], lda, &b[b_offset], ldb, (ftnlen)1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
dlaswp_(nrhs, &b[b_offset], ldb, &c__1, n, &ipiv[1], &c_n1);
}
return 0;

2
lib/linalg/dhseqr.cpp
View File

@ -104,7 +104,7 @@ int dhseqr_(char *job, char *compz, integer *n, integer *ilo, integer *ihi, doub
i__2[1] = 1, a__1[1] = compz;
s_lmp_cat(ch__1, a__1, i__2, &c__2, (ftnlen)2);
nmin = ilaenv_(&c__12, (char *)"DHSEQR", ch__1, n, ilo, ihi, lwork, (ftnlen)6, (ftnlen)2);
nmin = max(11, nmin);
nmin = max(15, nmin);
if (*n > nmin) {
dlaqr0_(&wantt, &wantz, n, ilo, ihi, &h__[h_offset], ldh, &wr[1], &wi[1], ilo, ihi,
&z__[z_offset], ldz, &work[1], lwork, info);

122
lib/linalg/dlabrd.cpp
View File

@ -37,12 +37,12 @@ int dlabrd_(integer *m, integer *n, integer *nb, doublereal *a, integer *lda, do
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = *m - i__ + 1;
i__3 = i__ - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b4, &a[i__ + a_dim1], lda, &y[i__ + y_dim1],
ldy, &c_b5, &a[i__ + i__ * a_dim1], &c__1, (ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b4, &a[i__ + a_dim1], lda, &y[i__ + y_dim1], ldy, &c_b5,
&a[i__ + i__ * a_dim1], &c__1, (ftnlen)1);
i__2 = *m - i__ + 1;
i__3 = i__ - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b4, &x[i__ + x_dim1], ldx, &a[i__ * a_dim1 + 1],
&c__1, &c_b5, &a[i__ + i__ * a_dim1], &c__1, (ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b4, &x[i__ + x_dim1], ldx, &a[i__ * a_dim1 + 1], &c__1,
&c_b5, &a[i__ + i__ * a_dim1], &c__1, (ftnlen)1);
i__2 = *m - i__ + 1;
i__3 = i__ + 1;
dlarfg_(&i__2, &a[i__ + i__ * a_dim1], &a[min(i__3, *m) + i__ * a_dim1], &c__1,
@ -52,38 +52,35 @@ int dlabrd_(integer *m, integer *n, integer *nb, doublereal *a, integer *lda, do
a[i__ + i__ * a_dim1] = 1.;
i__2 = *m - i__ + 1;
i__3 = *n - i__;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b5, &a[i__ + (i__ + 1) * a_dim1], lda,
dgemv_((char *)"T", &i__2, &i__3, &c_b5, &a[i__ + (i__ + 1) * a_dim1], lda,
&a[i__ + i__ * a_dim1], &c__1, &c_b16, &y[i__ + 1 + i__ * y_dim1], &c__1,
(ftnlen)9);
(ftnlen)1);
i__2 = *m - i__ + 1;
i__3 = i__ - 1;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b5, &a[i__ + a_dim1], lda,
&a[i__ + i__ * a_dim1], &c__1, &c_b16, &y[i__ * y_dim1 + 1], &c__1,
(ftnlen)9);
dgemv_((char *)"T", &i__2, &i__3, &c_b5, &a[i__ + a_dim1], lda, &a[i__ + i__ * a_dim1],
&c__1, &c_b16, &y[i__ * y_dim1 + 1], &c__1, (ftnlen)1);
i__2 = *n - i__;
i__3 = i__ - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b4, &y[i__ + 1 + y_dim1], ldy,
&y[i__ * y_dim1 + 1], &c__1, &c_b5, &y[i__ + 1 + i__ * y_dim1], &c__1,
(ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b4, &y[i__ + 1 + y_dim1], ldy, &y[i__ * y_dim1 + 1],
&c__1, &c_b5, &y[i__ + 1 + i__ * y_dim1], &c__1, (ftnlen)1);
i__2 = *m - i__ + 1;
i__3 = i__ - 1;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b5, &x[i__ + x_dim1], ldx,
&a[i__ + i__ * a_dim1], &c__1, &c_b16, &y[i__ * y_dim1 + 1], &c__1,
(ftnlen)9);
dgemv_((char *)"T", &i__2, &i__3, &c_b5, &x[i__ + x_dim1], ldx, &a[i__ + i__ * a_dim1],
&c__1, &c_b16, &y[i__ * y_dim1 + 1], &c__1, (ftnlen)1);
i__2 = i__ - 1;
i__3 = *n - i__;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b4, &a[(i__ + 1) * a_dim1 + 1], lda,
dgemv_((char *)"T", &i__2, &i__3, &c_b4, &a[(i__ + 1) * a_dim1 + 1], lda,
&y[i__ * y_dim1 + 1], &c__1, &c_b5, &y[i__ + 1 + i__ * y_dim1], &c__1,
(ftnlen)9);
(ftnlen)1);
i__2 = *n - i__;
dscal_(&i__2, &tauq[i__], &y[i__ + 1 + i__ * y_dim1], &c__1);
i__2 = *n - i__;
dgemv_((char *)"No transpose", &i__2, &i__, &c_b4, &y[i__ + 1 + y_dim1], ldy,
&a[i__ + a_dim1], lda, &c_b5, &a[i__ + (i__ + 1) * a_dim1], lda, (ftnlen)12);
dgemv_((char *)"N", &i__2, &i__, &c_b4, &y[i__ + 1 + y_dim1], ldy, &a[i__ + a_dim1], lda,
&c_b5, &a[i__ + (i__ + 1) * a_dim1], lda, (ftnlen)1);
i__2 = i__ - 1;
i__3 = *n - i__;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b4, &a[(i__ + 1) * a_dim1 + 1], lda,
&x[i__ + x_dim1], ldx, &c_b5, &a[i__ + (i__ + 1) * a_dim1], lda, (ftnlen)9);
dgemv_((char *)"T", &i__2, &i__3, &c_b4, &a[(i__ + 1) * a_dim1 + 1], lda, &x[i__ + x_dim1],
ldx, &c_b5, &a[i__ + (i__ + 1) * a_dim1], lda, (ftnlen)1);
i__2 = *n - i__;
i__3 = i__ + 2;
dlarfg_(&i__2, &a[i__ + (i__ + 1) * a_dim1], &a[i__ + min(i__3, *n) * a_dim1], lda,
@ -92,27 +89,25 @@ int dlabrd_(integer *m, integer *n, integer *nb, doublereal *a, integer *lda, do
a[i__ + (i__ + 1) * a_dim1] = 1.;
i__2 = *m - i__;
i__3 = *n - i__;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b5, &a[i__ + 1 + (i__ + 1) * a_dim1], lda,
dgemv_((char *)"N", &i__2, &i__3, &c_b5, &a[i__ + 1 + (i__ + 1) * a_dim1], lda,
&a[i__ + (i__ + 1) * a_dim1], lda, &c_b16, &x[i__ + 1 + i__ * x_dim1], &c__1,
(ftnlen)12);
(ftnlen)1);
i__2 = *n - i__;
dgemv_((char *)"Transpose", &i__2, &i__, &c_b5, &y[i__ + 1 + y_dim1], ldy,
dgemv_((char *)"T", &i__2, &i__, &c_b5, &y[i__ + 1 + y_dim1], ldy,
&a[i__ + (i__ + 1) * a_dim1], lda, &c_b16, &x[i__ * x_dim1 + 1], &c__1,
(ftnlen)9);
(ftnlen)1);
i__2 = *m - i__;
dgemv_((char *)"No transpose", &i__2, &i__, &c_b4, &a[i__ + 1 + a_dim1], lda,
&x[i__ * x_dim1 + 1], &c__1, &c_b5, &x[i__ + 1 + i__ * x_dim1], &c__1,
(ftnlen)12);
dgemv_((char *)"N", &i__2, &i__, &c_b4, &a[i__ + 1 + a_dim1], lda, &x[i__ * x_dim1 + 1],
&c__1, &c_b5, &x[i__ + 1 + i__ * x_dim1], &c__1, (ftnlen)1);
i__2 = i__ - 1;
i__3 = *n - i__;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b5, &a[(i__ + 1) * a_dim1 + 1], lda,
dgemv_((char *)"N", &i__2, &i__3, &c_b5, &a[(i__ + 1) * a_dim1 + 1], lda,
&a[i__ + (i__ + 1) * a_dim1], lda, &c_b16, &x[i__ * x_dim1 + 1], &c__1,
(ftnlen)12);
(ftnlen)1);
i__2 = *m - i__;
i__3 = i__ - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b4, &x[i__ + 1 + x_dim1], ldx,
&x[i__ * x_dim1 + 1], &c__1, &c_b5, &x[i__ + 1 + i__ * x_dim1], &c__1,
(ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b4, &x[i__ + 1 + x_dim1], ldx, &x[i__ * x_dim1 + 1],
&c__1, &c_b5, &x[i__ + 1 + i__ * x_dim1], &c__1, (ftnlen)1);
i__2 = *m - i__;
dscal_(&i__2, &taup[i__], &x[i__ + 1 + i__ * x_dim1], &c__1);
}
@ -122,12 +117,12 @@ int dlabrd_(integer *m, integer *n, integer *nb, doublereal *a, integer *lda, do
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = *n - i__ + 1;
i__3 = i__ - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b4, &y[i__ + y_dim1], ldy, &a[i__ + a_dim1],
lda, &c_b5, &a[i__ + i__ * a_dim1], lda, (ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b4, &y[i__ + y_dim1], ldy, &a[i__ + a_dim1], lda, &c_b5,
&a[i__ + i__ * a_dim1], lda, (ftnlen)1);
i__2 = i__ - 1;
i__3 = *n - i__ + 1;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b4, &a[i__ * a_dim1 + 1], lda, &x[i__ + x_dim1],
ldx, &c_b5, &a[i__ + i__ * a_dim1], lda, (ftnlen)9);
dgemv_((char *)"T", &i__2, &i__3, &c_b4, &a[i__ * a_dim1 + 1], lda, &x[i__ + x_dim1], ldx,
&c_b5, &a[i__ + i__ * a_dim1], lda, (ftnlen)1);
i__2 = *n - i__ + 1;
i__3 = i__ + 1;
dlarfg_(&i__2, &a[i__ + i__ * a_dim1], &a[i__ + min(i__3, *n) * a_dim1], lda,
@ -137,38 +132,34 @@ int dlabrd_(integer *m, integer *n, integer *nb, doublereal *a, integer *lda, do
a[i__ + i__ * a_dim1] = 1.;
i__2 = *m - i__;
i__3 = *n - i__ + 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b5, &a[i__ + 1 + i__ * a_dim1], lda,
dgemv_((char *)"N", &i__2, &i__3, &c_b5, &a[i__ + 1 + i__ * a_dim1], lda,
&a[i__ + i__ * a_dim1], lda, &c_b16, &x[i__ + 1 + i__ * x_dim1], &c__1,
(ftnlen)12);
(ftnlen)1);
i__2 = *n - i__ + 1;
i__3 = i__ - 1;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b5, &y[i__ + y_dim1], ldy,
&a[i__ + i__ * a_dim1], lda, &c_b16, &x[i__ * x_dim1 + 1], &c__1, (ftnlen)9);
dgemv_((char *)"T", &i__2, &i__3, &c_b5, &y[i__ + y_dim1], ldy, &a[i__ + i__ * a_dim1], lda,
&c_b16, &x[i__ * x_dim1 + 1], &c__1, (ftnlen)1);
i__2 = *m - i__;
i__3 = i__ - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b4, &a[i__ + 1 + a_dim1], lda,
&x[i__ * x_dim1 + 1], &c__1, &c_b5, &x[i__ + 1 + i__ * x_dim1], &c__1,
(ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b4, &a[i__ + 1 + a_dim1], lda, &x[i__ * x_dim1 + 1],
&c__1, &c_b5, &x[i__ + 1 + i__ * x_dim1], &c__1, (ftnlen)1);
i__2 = i__ - 1;
i__3 = *n - i__ + 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b5, &a[i__ * a_dim1 + 1], lda,
&a[i__ + i__ * a_dim1], lda, &c_b16, &x[i__ * x_dim1 + 1], &c__1,
(ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b5, &a[i__ * a_dim1 + 1], lda, &a[i__ + i__ * a_dim1],
lda, &c_b16, &x[i__ * x_dim1 + 1], &c__1, (ftnlen)1);
i__2 = *m - i__;
i__3 = i__ - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b4, &x[i__ + 1 + x_dim1], ldx,
&x[i__ * x_dim1 + 1], &c__1, &c_b5, &x[i__ + 1 + i__ * x_dim1], &c__1,
(ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b4, &x[i__ + 1 + x_dim1], ldx, &x[i__ * x_dim1 + 1],
&c__1, &c_b5, &x[i__ + 1 + i__ * x_dim1], &c__1, (ftnlen)1);
i__2 = *m - i__;
dscal_(&i__2, &taup[i__], &x[i__ + 1 + i__ * x_dim1], &c__1);
i__2 = *m - i__;
i__3 = i__ - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b4, &a[i__ + 1 + a_dim1], lda,
&y[i__ + y_dim1], ldy, &c_b5, &a[i__ + 1 + i__ * a_dim1], &c__1, (ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b4, &a[i__ + 1 + a_dim1], lda, &y[i__ + y_dim1], ldy,
&c_b5, &a[i__ + 1 + i__ * a_dim1], &c__1, (ftnlen)1);
i__2 = *m - i__;
dgemv_((char *)"No transpose", &i__2, &i__, &c_b4, &x[i__ + 1 + x_dim1], ldx,
&a[i__ * a_dim1 + 1], &c__1, &c_b5, &a[i__ + 1 + i__ * a_dim1], &c__1,
(ftnlen)12);
dgemv_((char *)"N", &i__2, &i__, &c_b4, &x[i__ + 1 + x_dim1], ldx, &a[i__ * a_dim1 + 1],
&c__1, &c_b5, &a[i__ + 1 + i__ * a_dim1], &c__1, (ftnlen)1);
i__2 = *m - i__;
i__3 = i__ + 2;
dlarfg_(&i__2, &a[i__ + 1 + i__ * a_dim1], &a[min(i__3, *m) + i__ * a_dim1], &c__1,
@ -177,27 +168,26 @@ int dlabrd_(integer *m, integer *n, integer *nb, doublereal *a, integer *lda, do
a[i__ + 1 + i__ * a_dim1] = 1.;
i__2 = *m - i__;
i__3 = *n - i__;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b5, &a[i__ + 1 + (i__ + 1) * a_dim1], lda,
dgemv_((char *)"T", &i__2, &i__3, &c_b5, &a[i__ + 1 + (i__ + 1) * a_dim1], lda,
&a[i__ + 1 + i__ * a_dim1], &c__1, &c_b16, &y[i__ + 1 + i__ * y_dim1], &c__1,
(ftnlen)9);
(ftnlen)1);
i__2 = *m - i__;
i__3 = i__ - 1;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b5, &a[i__ + 1 + a_dim1], lda,
dgemv_((char *)"T", &i__2, &i__3, &c_b5, &a[i__ + 1 + a_dim1], lda,
&a[i__ + 1 + i__ * a_dim1], &c__1, &c_b16, &y[i__ * y_dim1 + 1], &c__1,
(ftnlen)9);
(ftnlen)1);
i__2 = *n - i__;
i__3 = i__ - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b4, &y[i__ + 1 + y_dim1], ldy,
&y[i__ * y_dim1 + 1], &c__1, &c_b5, &y[i__ + 1 + i__ * y_dim1], &c__1,
(ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b4, &y[i__ + 1 + y_dim1], ldy, &y[i__ * y_dim1 + 1],
&c__1, &c_b5, &y[i__ + 1 + i__ * y_dim1], &c__1, (ftnlen)1);
i__2 = *m - i__;
dgemv_((char *)"Transpose", &i__2, &i__, &c_b5, &x[i__ + 1 + x_dim1], ldx,
dgemv_((char *)"T", &i__2, &i__, &c_b5, &x[i__ + 1 + x_dim1], ldx,
&a[i__ + 1 + i__ * a_dim1], &c__1, &c_b16, &y[i__ * y_dim1 + 1], &c__1,
(ftnlen)9);
(ftnlen)1);
i__2 = *n - i__;
dgemv_((char *)"Transpose", &i__, &i__2, &c_b4, &a[(i__ + 1) * a_dim1 + 1], lda,
dgemv_((char *)"T", &i__, &i__2, &c_b4, &a[(i__ + 1) * a_dim1 + 1], lda,
&y[i__ * y_dim1 + 1], &c__1, &c_b5, &y[i__ + 1 + i__ * y_dim1], &c__1,
(ftnlen)9);
(ftnlen)1);
i__2 = *n - i__;
dscal_(&i__2, &tauq[i__], &y[i__ + 1 + i__ * y_dim1], &c__1);
}

2
lib/linalg/dlaexc.cpp
View File

@ -74,7 +74,7 @@ int dlaexc_(logical *wantq, integer *n, doublereal *t, integer *ldt, doublereal
}
} else {
nd = *n1 + *n2;
dlacpy_((char *)"Full", &nd, &nd, &t[*j1 + *j1 * t_dim1], ldt, d__, &c__4, (ftnlen)4);
dlacpy_((char *)"F", &nd, &nd, &t[*j1 + *j1 * t_dim1], ldt, d__, &c__4, (ftnlen)1);
dnorm = dlange_((char *)"Max", &nd, &nd, d__, &c__4, &work[1], (ftnlen)3);
eps = dlamch_((char *)"P", (ftnlen)1);
smlnum = dlamch_((char *)"S", (ftnlen)1) / eps;

28
lib/linalg/dlahqr.cpp
View File

@ -23,12 +23,12 @@ int dlahqr_(logical *wantt, logical *wantz, integer *n, integer *ilo, integer *i
integer its;
doublereal ulp, sum, tst, rt1i, rt2i, rt1r, rt2r;
extern int drot_(integer *, doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *),
dcopy_(integer *, doublereal *, integer *, doublereal *, integer *);
doublereal *);
integer kdefl;
extern int dcopy_(integer *, doublereal *, integer *, doublereal *, integer *);
integer itmax;
extern int dlanv2_(doublereal *, doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *, doublereal *, doublereal *, doublereal *, doublereal *),
dlabad_(doublereal *, doublereal *);
doublereal *, doublereal *, doublereal *, doublereal *, doublereal *);
extern doublereal dlamch_(char *, ftnlen);
extern int dlarfg_(integer *, doublereal *, doublereal *, integer *, doublereal *);
doublereal safmin, safmax, rtdisc, smlnum;
@ -61,7 +61,6 @@ int dlahqr_(logical *wantt, logical *wantz, integer *n, integer *ilo, integer *i
nz = *ihiz - *iloz + 1;
safmin = dlamch_((char *)"SAFE MINIMUM", (ftnlen)12);
safmax = 1. / safmin;
dlabad_(&safmin, &safmax);
ulp = dlamch_((char *)"PRECISION", (ftnlen)9);
smlnum = safmin * ((doublereal)nh / ulp);
if (*wantt) {
@ -69,6 +68,7 @@ int dlahqr_(logical *wantt, logical *wantz, integer *n, integer *ilo, integer *i
i2 = *n;
}
itmax = max(10, nh) * 30;
kdefl = 0;
i__ = *ihi;
L20:
l = *ilo;
@ -120,24 +120,25 @@ L20:
if (l >= i__ - 1) {
goto L150;
}
++kdefl;
if (!(*wantt)) {
i1 = l;
i2 = i__;
}
if (its == 10) {
s = (d__1 = h__[l + 1 + l * h_dim1], abs(d__1)) +
(d__2 = h__[l + 2 + (l + 1) * h_dim1], abs(d__2));
h11 = s * .75 + h__[l + l * h_dim1];
h12 = s * -.4375;
h21 = s;
h22 = h11;
} else if (its == 20) {
if (kdefl % 20 == 0) {
s = (d__1 = h__[i__ + (i__ - 1) * h_dim1], abs(d__1)) +
(d__2 = h__[i__ - 1 + (i__ - 2) * h_dim1], abs(d__2));
h11 = s * .75 + h__[i__ + i__ * h_dim1];
h12 = s * -.4375;
h21 = s;
h22 = h11;
} else if (kdefl % 10 == 0) {
s = (d__1 = h__[l + 1 + l * h_dim1], abs(d__1)) +
(d__2 = h__[l + 2 + (l + 1) * h_dim1], abs(d__2));
h11 = s * .75 + h__[l + l * h_dim1];
h12 = s * -.4375;
h21 = s;
h22 = h11;
} else {
h11 = h__[i__ - 1 + (i__ - 1) * h_dim1];
h21 = h__[i__ + (i__ - 1) * h_dim1];
@ -301,6 +302,7 @@ L150:
&cs, &sn);
}
}
kdefl = 0;
i__ = l - 1;
goto L20;
L160:

56
lib/linalg/dlahr2.cpp
View File

@ -46,30 +46,28 @@ int dlahr2_(integer *n, integer *k, integer *nb, doublereal *a, integer *lda, do
if (i__ > 1) {
i__2 = *n - *k;
i__3 = i__ - 1;
dgemv_((char *)"NO TRANSPOSE", &i__2, &i__3, &c_b4, &y[*k + 1 + y_dim1], ldy,
&a[*k + i__ - 1 + a_dim1], lda, &c_b5, &a[*k + 1 + i__ * a_dim1], &c__1,
(ftnlen)12);
dgemv_((char *)"T", &i__2, &i__3, &c_b4, &y[*k + 1 + y_dim1], ldy, &a[*k + i__ - 1 + a_dim1],
lda, &c_b5, &a[*k + 1 + i__ * a_dim1], &c__1, (ftnlen)1);
i__2 = i__ - 1;
dcopy_(&i__2, &a[*k + 1 + i__ * a_dim1], &c__1, &t[*nb * t_dim1 + 1], &c__1);
i__2 = i__ - 1;
dtrmv_((char *)"Lower", (char *)"Transpose", (char *)"UNIT", &i__2, &a[*k + 1 + a_dim1], lda,
&t[*nb * t_dim1 + 1], &c__1, (ftnlen)5, (ftnlen)9, (ftnlen)4);
dtrmv_((char *)"L", (char *)"T", (char *)"U", &i__2, &a[*k + 1 + a_dim1], lda, &t[*nb * t_dim1 + 1], &c__1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
i__2 = *n - *k - i__ + 1;
i__3 = i__ - 1;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b5, &a[*k + i__ + a_dim1], lda,
dgemv_((char *)"T", &i__2, &i__3, &c_b5, &a[*k + i__ + a_dim1], lda,
&a[*k + i__ + i__ * a_dim1], &c__1, &c_b5, &t[*nb * t_dim1 + 1], &c__1,
(ftnlen)9);
(ftnlen)1);
i__2 = i__ - 1;
dtrmv_((char *)"Upper", (char *)"Transpose", (char *)"NON-UNIT", &i__2, &t[t_offset], ldt, &t[*nb * t_dim1 + 1],
&c__1, (ftnlen)5, (ftnlen)9, (ftnlen)8);
dtrmv_((char *)"U", (char *)"T", (char *)"N", &i__2, &t[t_offset], ldt, &t[*nb * t_dim1 + 1], &c__1, (ftnlen)1,
(ftnlen)1, (ftnlen)1);
i__2 = *n - *k - i__ + 1;
i__3 = i__ - 1;
dgemv_((char *)"NO TRANSPOSE", &i__2, &i__3, &c_b4, &a[*k + i__ + a_dim1], lda,
&t[*nb * t_dim1 + 1], &c__1, &c_b5, &a[*k + i__ + i__ * a_dim1], &c__1,
(ftnlen)12);
dgemv_((char *)"T", &i__2, &i__3, &c_b4, &a[*k + i__ + a_dim1], lda, &t[*nb * t_dim1 + 1],
&c__1, &c_b5, &a[*k + i__ + i__ * a_dim1], &c__1, (ftnlen)1);
i__2 = i__ - 1;
dtrmv_((char *)"Lower", (char *)"NO TRANSPOSE", (char *)"UNIT", &i__2, &a[*k + 1 + a_dim1], lda,
&t[*nb * t_dim1 + 1], &c__1, (ftnlen)5, (ftnlen)12, (ftnlen)4);
dtrmv_((char *)"L", (char *)"T", (char *)"U", &i__2, &a[*k + 1 + a_dim1], lda, &t[*nb * t_dim1 + 1], &c__1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
i__2 = i__ - 1;
daxpy_(&i__2, &c_b4, &t[*nb * t_dim1 + 1], &c__1, &a[*k + 1 + i__ * a_dim1], &c__1);
a[*k + i__ - 1 + (i__ - 1) * a_dim1] = ei;
@ -82,38 +80,38 @@ int dlahr2_(integer *n, integer *k, integer *nb, doublereal *a, integer *lda, do
a[*k + i__ + i__ * a_dim1] = 1.;
i__2 = *n - *k;
i__3 = *n - *k - i__ + 1;
dgemv_((char *)"NO TRANSPOSE", &i__2, &i__3, &c_b5, &a[*k + 1 + (i__ + 1) * a_dim1], lda,
dgemv_((char *)"T", &i__2, &i__3, &c_b5, &a[*k + 1 + (i__ + 1) * a_dim1], lda,
&a[*k + i__ + i__ * a_dim1], &c__1, &c_b38, &y[*k + 1 + i__ * y_dim1], &c__1,
(ftnlen)12);
(ftnlen)1);
i__2 = *n - *k - i__ + 1;
i__3 = i__ - 1;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b5, &a[*k + i__ + a_dim1], lda,
&a[*k + i__ + i__ * a_dim1], &c__1, &c_b38, &t[i__ * t_dim1 + 1], &c__1, (ftnlen)9);
dgemv_((char *)"T", &i__2, &i__3, &c_b5, &a[*k + i__ + a_dim1], lda, &a[*k + i__ + i__ * a_dim1],
&c__1, &c_b38, &t[i__ * t_dim1 + 1], &c__1, (ftnlen)1);
i__2 = *n - *k;
i__3 = i__ - 1;
dgemv_((char *)"NO TRANSPOSE", &i__2, &i__3, &c_b4, &y[*k + 1 + y_dim1], ldy, &t[i__ * t_dim1 + 1],
&c__1, &c_b5, &y[*k + 1 + i__ * y_dim1], &c__1, (ftnlen)12);
dgemv_((char *)"T", &i__2, &i__3, &c_b4, &y[*k + 1 + y_dim1], ldy, &t[i__ * t_dim1 + 1], &c__1,
&c_b5, &y[*k + 1 + i__ * y_dim1], &c__1, (ftnlen)1);
i__2 = *n - *k;
dscal_(&i__2, &tau[i__], &y[*k + 1 + i__ * y_dim1], &c__1);
i__2 = i__ - 1;
d__1 = -tau[i__];
dscal_(&i__2, &d__1, &t[i__ * t_dim1 + 1], &c__1);
i__2 = i__ - 1;
dtrmv_((char *)"Upper", (char *)"No Transpose", (char *)"NON-UNIT", &i__2, &t[t_offset], ldt, &t[i__ * t_dim1 + 1],
&c__1, (ftnlen)5, (ftnlen)12, (ftnlen)8);
dtrmv_((char *)"U", (char *)"N", (char *)"N", &i__2, &t[t_offset], ldt, &t[i__ * t_dim1 + 1], &c__1, (ftnlen)1,
(ftnlen)1, (ftnlen)1);
t[i__ + i__ * t_dim1] = tau[i__];
}
a[*k + *nb + *nb * a_dim1] = ei;
dlacpy_((char *)"ALL", k, nb, &a[(a_dim1 << 1) + 1], lda, &y[y_offset], ldy, (ftnlen)3);
dtrmm_((char *)"RIGHT", (char *)"Lower", (char *)"NO TRANSPOSE", (char *)"UNIT", k, nb, &c_b5, &a[*k + 1 + a_dim1], lda,
&y[y_offset], ldy, (ftnlen)5, (ftnlen)5, (ftnlen)12, (ftnlen)4);
dlacpy_((char *)"A", k, nb, &a[(a_dim1 << 1) + 1], lda, &y[y_offset], ldy, (ftnlen)1);
dtrmm_((char *)"R", (char *)"L", (char *)"T", (char *)"U", k, nb, &c_b5, &a[*k + 1 + a_dim1], lda, &y[y_offset], ldy, (ftnlen)1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k + *nb) {
i__1 = *n - *k - *nb;
dgemm_((char *)"NO TRANSPOSE", (char *)"NO TRANSPOSE", k, nb, &i__1, &c_b5, &a[(*nb + 2) * a_dim1 + 1], lda,
&a[*k + 1 + *nb + a_dim1], lda, &c_b5, &y[y_offset], ldy, (ftnlen)12, (ftnlen)12);
dgemm_((char *)"T", (char *)"T", k, nb, &i__1, &c_b5, &a[(*nb + 2) * a_dim1 + 1], lda,
&a[*k + 1 + *nb + a_dim1], lda, &c_b5, &y[y_offset], ldy, (ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"RIGHT", (char *)"Upper", (char *)"NO TRANSPOSE", (char *)"NON-UNIT", k, nb, &c_b5, &t[t_offset], ldt,
&y[y_offset], ldy, (ftnlen)5, (ftnlen)5, (ftnlen)12, (ftnlen)8);
dtrmm_((char *)"R", (char *)"U", (char *)"T", (char *)"N", k, nb, &c_b5, &t[t_offset], ldt, &y[y_offset], ldy, (ftnlen)1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
return 0;
}
#ifdef __cplusplus

48
lib/linalg/dlanv2.cpp
View File

@ -2,16 +2,28 @@
extern "C" {
#endif
#include "lmp_f2c.h"
static doublereal c_b3 = 1.;
static doublereal c_b6 = 1.;
int dlanv2_(doublereal *a, doublereal *b, doublereal *c__, doublereal *d__, doublereal *rt1r,
doublereal *rt1i, doublereal *rt2r, doublereal *rt2i, doublereal *cs, doublereal *sn)
{
integer i__1;
doublereal d__1, d__2;
double d_lmp_sign(doublereal *, doublereal *), sqrt(doublereal);
double log(doublereal), pow_lmp_di(doublereal *, integer *), d_lmp_sign(doublereal *, doublereal *),
sqrt(doublereal);
doublereal p, z__, aa, bb, cc, dd, cs1, sn1, sab, sac, eps, tau, temp, scale, bcmax, bcmis,
sigma;
extern doublereal dlapy2_(doublereal *, doublereal *), dlamch_(char *, ftnlen);
integer count;
doublereal safmn2;
extern doublereal dlapy2_(doublereal *, doublereal *);
doublereal safmx2;
extern doublereal dlamch_(char *, ftnlen);
doublereal safmin;
safmin = dlamch_((char *)"S", (ftnlen)1);
eps = dlamch_((char *)"P", (ftnlen)1);
d__1 = dlamch_((char *)"B", (ftnlen)1);
i__1 = (integer)(log(safmin / eps) / log(dlamch_((char *)"B", (ftnlen)1)) / 2.);
safmn2 = pow_lmp_di(&d__1, &i__1);
safmx2 = 1. / safmn2;
if (*c__ == 0.) {
*cs = 1.;
*sn = 0.;
@ -23,7 +35,7 @@ int dlanv2_(doublereal *a, doublereal *b, doublereal *c__, doublereal *d__, doub
*a = temp;
*b = -(*c__);
*c__ = 0.;
} else if (*a - *d__ == 0. && d_lmp_sign(&c_b3, b) != d_lmp_sign(&c_b3, c__)) {
} else if (*a - *d__ == 0. && d_lmp_sign(&c_b6, b) != d_lmp_sign(&c_b6, c__)) {
*cs = 1.;
*sn = 0.;
} else {
@ -32,7 +44,7 @@ int dlanv2_(doublereal *a, doublereal *b, doublereal *c__, doublereal *d__, doub
d__1 = abs(*b), d__2 = abs(*c__);
bcmax = max(d__1, d__2);
d__1 = abs(*b), d__2 = abs(*c__);
bcmis = min(d__1, d__2) * d_lmp_sign(&c_b3, b) * d_lmp_sign(&c_b3, c__);
bcmis = min(d__1, d__2) * d_lmp_sign(&c_b6, b) * d_lmp_sign(&c_b6, c__);
d__1 = abs(p);
scale = max(d__1, bcmax);
z__ = p / scale * p + bcmax / scale * bcmis;
@ -47,24 +59,44 @@ int dlanv2_(doublereal *a, doublereal *b, doublereal *c__, doublereal *d__, doub
*b -= *c__;
*c__ = 0.;
} else {
count = 0;
sigma = *b + *c__;
L10:
++count;
d__1 = abs(temp), d__2 = abs(sigma);
scale = max(d__1, d__2);
if (scale >= safmx2) {
sigma *= safmn2;
temp *= safmn2;
if (count <= 20) {
goto L10;
}
}
if (scale <= safmn2) {
sigma *= safmx2;
temp *= safmx2;
if (count <= 20) {
goto L10;
}
}
p = temp * .5;
tau = dlapy2_(&sigma, &temp);
*cs = sqrt((abs(sigma) / tau + 1.) * .5);
*sn = -(p / (tau * *cs)) * d_lmp_sign(&c_b3, &sigma);
*sn = -(p / (tau * *cs)) * d_lmp_sign(&c_b6, &sigma);
aa = *a * *cs + *b * *sn;
bb = -(*a) * *sn + *b * *cs;
cc = *c__ * *cs + *d__ * *sn;
dd = -(*c__) * *sn + *d__ * *cs;
*a = aa * *cs + cc * *sn;
*b = bb * *cs + dd * *sn;
*c__ = -aa * *sn + cc * *cs;
*c__ = -(aa * *sn) + cc * *cs;
*d__ = -bb * *sn + dd * *cs;
temp = (*a + *d__) * .5;
*a = temp;
*d__ = temp;
if (*c__ != 0.) {
if (*b != 0.) {
if (d_lmp_sign(&c_b3, b) == d_lmp_sign(&c_b3, c__)) {
if (d_lmp_sign(&c_b6, b) == d_lmp_sign(&c_b6, c__)) {
sab = sqrt((abs(*b)));
sac = sqrt((abs(*c__)));
d__1 = sab * sac;

10
lib/linalg/dlaqr0.cpp
View File

@ -69,7 +69,7 @@ int dlaqr0_(logical *wantt, logical *wantz, integer *n, integer *ilo, integer *i
work[1] = 1.;
return 0;
}
if (*n <= 11) {
if (*n <= 15) {
lwkopt = 1;
if (*lwork != -1) {
dlahqr_(wantt, wantz, n, ilo, ihi, &h__[h_offset], ldh, &wr[1], &wi[1], iloz, ihiz,
@ -92,7 +92,7 @@ int dlaqr0_(logical *wantt, logical *wantz, integer *n, integer *ilo, integer *i
i__1 = *ihi - *ilo + 1, i__2 = (*n - 1) / 3, i__1 = min(i__1, i__2);
nwr = min(i__1, nwr);
nsr = ilaenv_(&c__15, (char *)"DLAQR0", jbcmpz, n, ilo, ihi, lwork, (ftnlen)6, (ftnlen)2);
i__1 = nsr, i__2 = (*n + 6) / 9, i__1 = min(i__1, i__2), i__2 = *ihi - *ilo;
i__1 = nsr, i__2 = (*n - 3) / 6, i__1 = min(i__1, i__2), i__2 = *ihi - *ilo;
nsr = min(i__1, i__2);
i__1 = 2, i__2 = nsr - nsr % 2;
nsr = max(i__1, i__2);
@ -107,7 +107,7 @@ int dlaqr0_(logical *wantt, logical *wantz, integer *n, integer *ilo, integer *i
return 0;
}
nmin = ilaenv_(&c__12, (char *)"DLAQR0", jbcmpz, n, ilo, ihi, lwork, (ftnlen)6, (ftnlen)2);
nmin = max(11, nmin);
nmin = max(15, nmin);
nibble = ilaenv_(&c__14, (char *)"DLAQR0", jbcmpz, n, ilo, ihi, lwork, (ftnlen)6, (ftnlen)2);
nibble = max(0, nibble);
kacc22 = ilaenv_(&c__16, (char *)"DLAQR0", jbcmpz, n, ilo, ihi, lwork, (ftnlen)6, (ftnlen)2);
@ -116,7 +116,7 @@ int dlaqr0_(logical *wantt, logical *wantz, integer *n, integer *ilo, integer *i
i__1 = (*n - 1) / 3, i__2 = *lwork / 2;
nwmax = min(i__1, i__2);
nw = nwmax;
i__1 = (*n + 6) / 9, i__2 = (*lwork << 1) / 3;
i__1 = (*n - 3) / 6, i__2 = (*lwork << 1) / 3;
nsmax = min(i__1, i__2);
nsmax -= nsmax % 2;
ndfl = 1;
@ -278,7 +278,7 @@ int dlaqr0_(logical *wantt, logical *wantz, integer *n, integer *ilo, integer *i
ns = min(i__2, i__3);
ns -= ns % 2;
ks = kbot - ns + 1;
kdu = ns * 3 - 3;
kdu = ns << 1;
ku = *n - kdu + 1;
kwh = kdu + 1;
nho = *n - kdu - 3 - (kdu + 1) + 1;

26
lib/linalg/dlaqr2.cpp
View File

@ -26,17 +26,14 @@ int dlaqr2_(logical *wantt, logical *wantz, integer *n, integer *ktop, integer *
integer lwk1, lwk2;
doublereal beta;
integer kend, kcol, info, ifst, ilst, ltop, krow;
extern int dlarf_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen),
dgemm_(char *, char *, integer *, integer *, integer *, doublereal *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *, integer *, ftnlen,
ftnlen);
extern int dgemm_(char *, char *, integer *, integer *, integer *, doublereal *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *, integer *,
ftnlen, ftnlen);
logical bulge;
extern int dcopy_(integer *, doublereal *, integer *, doublereal *, integer *);
integer infqr, kwtop;
extern int dlanv2_(doublereal *, doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *, doublereal *, doublereal *, doublereal *, doublereal *),
dlabad_(doublereal *, doublereal *);
doublereal *, doublereal *, doublereal *, doublereal *, doublereal *);
extern doublereal dlamch_(char *, ftnlen);
extern int dgehrd_(integer *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, integer *),
@ -57,6 +54,8 @@ int dlaqr2_(logical *wantt, logical *wantz, integer *n, integer *ktop, integer *
ftnlen);
logical sorted;
doublereal smlnum;
extern int dlarf1f_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen);
integer lwkopt;
h_dim1 = *ldh;
h_offset = 1 + h_dim1;
@ -105,7 +104,6 @@ int dlaqr2_(logical *wantt, logical *wantz, integer *n, integer *ktop, integer *
}
safmin = dlamch_((char *)"SAFE MINIMUM", (ftnlen)12);
safmax = 1. / safmin;
dlabad_(&safmin, &safmax);
ulp = dlamch_((char *)"PRECISION", (ftnlen)9);
smlnum = safmin * ((doublereal)(*n) / ulp);
i__1 = *nw, i__2 = *kbot - *ktop + 1;
@ -283,15 +281,15 @@ L60:
dcopy_(ns, &v[v_offset], ldv, &work[1], &c__1);
beta = work[1];
dlarfg_(ns, &beta, &work[2], &c__1, &tau);
work[1] = 1.;
i__1 = jw - 2;
i__2 = jw - 2;
dlaset_((char *)"L", &i__1, &i__2, &c_b12, &c_b12, &t[t_dim1 + 3], ldt, (ftnlen)1);
dlarf_((char *)"L", ns, &jw, &work[1], &c__1, &tau, &t[t_offset], ldt, &work[jw + 1],
(ftnlen)1);
dlarf_((char *)"R", ns, ns, &work[1], &c__1, &tau, &t[t_offset], ldt, &work[jw + 1], (ftnlen)1);
dlarf_((char *)"R", &jw, ns, &work[1], &c__1, &tau, &v[v_offset], ldv, &work[jw + 1],
(ftnlen)1);
dlarf1f_((char *)"L", ns, &jw, &work[1], &c__1, &tau, &t[t_offset], ldt, &work[jw + 1],
(ftnlen)1);
dlarf1f_((char *)"R", ns, ns, &work[1], &c__1, &tau, &t[t_offset], ldt, &work[jw + 1],
(ftnlen)1);
dlarf1f_((char *)"R", &jw, ns, &work[1], &c__1, &tau, &v[v_offset], ldv, &work[jw + 1],
(ftnlen)1);
i__1 = *lwork - jw;
dgehrd_(&jw, &c__1, ns, &t[t_offset], ldt, &work[1], &work[jw + 1], &i__1, &info);
}

26
lib/linalg/dlaqr3.cpp
View File

@ -27,11 +27,9 @@ int dlaqr3_(logical *wantt, logical *wantz, integer *n, integer *ktop, integer *
integer lwk1, lwk2, lwk3;
doublereal beta;
integer kend, kcol, info, nmin, ifst, ilst, ltop, krow;
extern int dlarf_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen),
dgemm_(char *, char *, integer *, integer *, integer *, doublereal *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *, integer *, ftnlen,
ftnlen);
extern int dgemm_(char *, char *, integer *, integer *, integer *, doublereal *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *, integer *,
ftnlen, ftnlen);
logical bulge;
extern int dcopy_(integer *, doublereal *, integer *, doublereal *, integer *);
integer infqr, kwtop;
@ -39,8 +37,7 @@ int dlaqr3_(logical *wantt, logical *wantz, integer *n, integer *ktop, integer *
doublereal *, doublereal *, doublereal *, doublereal *, doublereal *),
dlaqr4_(logical *, logical *, integer *, integer *, integer *, doublereal *, integer *,
doublereal *, doublereal *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, integer *),
dlabad_(doublereal *, doublereal *);
doublereal *, integer *, integer *);
extern doublereal dlamch_(char *, ftnlen);
extern int dgehrd_(integer *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, integer *),
@ -63,6 +60,8 @@ int dlaqr3_(logical *wantt, logical *wantz, integer *n, integer *ktop, integer *
ftnlen);
logical sorted;
doublereal smlnum;
extern int dlarf1f_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen);
integer lwkopt;
h_dim1 = *ldh;
h_offset = 1 + h_dim1;
@ -115,7 +114,6 @@ int dlaqr3_(logical *wantt, logical *wantz, integer *n, integer *ktop, integer *
}
safmin = dlamch_((char *)"SAFE MINIMUM", (ftnlen)12);
safmax = 1. / safmin;
dlabad_(&safmin, &safmax);
ulp = dlamch_((char *)"PRECISION", (ftnlen)9);
smlnum = safmin * ((doublereal)(*n) / ulp);
i__1 = *nw, i__2 = *kbot - *ktop + 1;
@ -299,15 +297,15 @@ L60:
dcopy_(ns, &v[v_offset], ldv, &work[1], &c__1);
beta = work[1];
dlarfg_(ns, &beta, &work[2], &c__1, &tau);
work[1] = 1.;
i__1 = jw - 2;
i__2 = jw - 2;
dlaset_((char *)"L", &i__1, &i__2, &c_b17, &c_b17, &t[t_dim1 + 3], ldt, (ftnlen)1);
dlarf_((char *)"L", ns, &jw, &work[1], &c__1, &tau, &t[t_offset], ldt, &work[jw + 1],
(ftnlen)1);
dlarf_((char *)"R", ns, ns, &work[1], &c__1, &tau, &t[t_offset], ldt, &work[jw + 1], (ftnlen)1);
dlarf_((char *)"R", &jw, ns, &work[1], &c__1, &tau, &v[v_offset], ldv, &work[jw + 1],
(ftnlen)1);
dlarf1f_((char *)"L", ns, &jw, &work[1], &c__1, &tau, &t[t_offset], ldt, &work[jw + 1],
(ftnlen)1);
dlarf1f_((char *)"R", ns, ns, &work[1], &c__1, &tau, &t[t_offset], ldt, &work[jw + 1],
(ftnlen)1);
dlarf1f_((char *)"R", &jw, ns, &work[1], &c__1, &tau, &v[v_offset], ldv, &work[jw + 1],
(ftnlen)1);
i__1 = *lwork - jw;
dgehrd_(&jw, &c__1, ns, &t[t_offset], ldt, &work[1], &work[jw + 1], &i__1, &info);
}

10
lib/linalg/dlaqr4.cpp
View File

@ -67,7 +67,7 @@ int dlaqr4_(logical *wantt, logical *wantz, integer *n, integer *ilo, integer *i
work[1] = 1.;
return 0;
}
if (*n <= 11) {
if (*n <= 15) {
lwkopt = 1;
if (*lwork != -1) {
dlahqr_(wantt, wantz, n, ilo, ihi, &h__[h_offset], ldh, &wr[1], &wi[1], iloz, ihiz,
@ -90,7 +90,7 @@ int dlaqr4_(logical *wantt, logical *wantz, integer *n, integer *ilo, integer *i
i__1 = *ihi - *ilo + 1, i__2 = (*n - 1) / 3, i__1 = min(i__1, i__2);
nwr = min(i__1, nwr);
nsr = ilaenv_(&c__15, (char *)"DLAQR4", jbcmpz, n, ilo, ihi, lwork, (ftnlen)6, (ftnlen)2);
i__1 = nsr, i__2 = (*n + 6) / 9, i__1 = min(i__1, i__2), i__2 = *ihi - *ilo;
i__1 = nsr, i__2 = (*n - 3) / 6, i__1 = min(i__1, i__2), i__2 = *ihi - *ilo;
nsr = min(i__1, i__2);
i__1 = 2, i__2 = nsr - nsr % 2;
nsr = max(i__1, i__2);
@ -105,7 +105,7 @@ int dlaqr4_(logical *wantt, logical *wantz, integer *n, integer *ilo, integer *i
return 0;
}
nmin = ilaenv_(&c__12, (char *)"DLAQR4", jbcmpz, n, ilo, ihi, lwork, (ftnlen)6, (ftnlen)2);
nmin = max(11, nmin);
nmin = max(15, nmin);
nibble = ilaenv_(&c__14, (char *)"DLAQR4", jbcmpz, n, ilo, ihi, lwork, (ftnlen)6, (ftnlen)2);
nibble = max(0, nibble);
kacc22 = ilaenv_(&c__16, (char *)"DLAQR4", jbcmpz, n, ilo, ihi, lwork, (ftnlen)6, (ftnlen)2);
@ -114,7 +114,7 @@ int dlaqr4_(logical *wantt, logical *wantz, integer *n, integer *ilo, integer *i
i__1 = (*n - 1) / 3, i__2 = *lwork / 2;
nwmax = min(i__1, i__2);
nw = nwmax;
i__1 = (*n + 6) / 9, i__2 = (*lwork << 1) / 3;
i__1 = (*n - 3) / 6, i__2 = (*lwork << 1) / 3;
nsmax = min(i__1, i__2);
nsmax -= nsmax % 2;
ndfl = 1;
@ -270,7 +270,7 @@ int dlaqr4_(logical *wantt, logical *wantz, integer *n, integer *ilo, integer *i
ns = min(i__2, i__3);
ns -= ns % 2;
ks = kbot - ns + 1;
kdu = ns * 3 - 3;
kdu = ns << 1;
ku = *n - kdu + 1;
kwh = kdu + 1;
nho = *n - kdu - 3 - (kdu + 1) + 1;

600
lib/linalg/dlaqr5.cpp
View File

@ -4,9 +4,9 @@ extern "C" {
#include "lmp_f2c.h"
static doublereal c_b7 = 0.;
static doublereal c_b8 = 1.;
static integer c__3 = 3;
static integer c__1 = 1;
static integer c__2 = 2;
static integer c__1 = 1;
static integer c__3 = 3;
int dlaqr5_(logical *wantt, logical *wantz, integer *kacc22, integer *n, integer *ktop,
integer *kbot, integer *nshfts, doublereal *sr, doublereal *si, doublereal *h__,
integer *ldh, integer *iloz, integer *ihiz, doublereal *z__, integer *ldz,
@ -16,16 +16,14 @@ int dlaqr5_(logical *wantt, logical *wantz, integer *kacc22, integer *n, integer
integer h_dim1, h_offset, u_dim1, u_offset, v_dim1, v_offset, wh_dim1, wh_offset, wv_dim1,
wv_offset, z_dim1, z_offset, i__1, i__2, i__3, i__4, i__5, i__6, i__7;
doublereal d__1, d__2, d__3, d__4, d__5;
integer i__, j, k, m, i2, j2, i4, j4, k1;
doublereal h11, h12, h21, h22;
integer i__, j, k, m, i2, k1, i4;
doublereal t1, t2, t3, h11, h12, h21, h22;
integer m22, ns, nu;
doublereal vt[3], scl;
integer kdu, kms;
doublereal ulp;
integer knz, kzs;
doublereal tst1, tst2, beta;
logical blk22, bmp22;
integer mend, jcol, jlen, jbot, mbot;
doublereal ulp, tst1, tst2, beta;
logical bmp22;
integer jcol, jlen, jbot, mbot;
doublereal swap;
integer jtop, jrow, mtop;
doublereal alpha;
@ -34,12 +32,8 @@ int dlaqr5_(logical *wantt, logical *wantz, integer *kacc22, integer *n, integer
integer *, doublereal *, integer *, doublereal *, doublereal *, integer *,
ftnlen, ftnlen);
integer ndcol, incol, krcol, nbmps;
extern int dtrmm_(char *, char *, char *, char *, integer *, integer *, doublereal *,
doublereal *, integer *, doublereal *, integer *, ftnlen, ftnlen, ftnlen,
ftnlen),
dlaqr1_(integer *, doublereal *, integer *, doublereal *, doublereal *, doublereal *,
doublereal *, doublereal *),
dlabad_(doublereal *, doublereal *);
extern int dlaqr1_(integer *, doublereal *, integer *, doublereal *, doublereal *, doublereal *,
doublereal *, doublereal *);
extern doublereal dlamch_(char *, ftnlen);
extern int dlarfg_(integer *, doublereal *, doublereal *, integer *, doublereal *),
dlacpy_(char *, integer *, integer *, doublereal *, integer *, doublereal *, integer *,
@ -47,9 +41,7 @@ int dlaqr5_(logical *wantt, logical *wantz, integer *kacc22, integer *n, integer
doublereal safmin;
extern int dlaset_(char *, integer *, integer *, doublereal *, doublereal *, doublereal *,
integer *, ftnlen);
doublereal safmax, refsum;
integer mstart;
doublereal smlnum;
doublereal safmax, refsum, smlnum;
--sr;
--si;
h_dim1 = *ldh;
@ -92,42 +84,167 @@ int dlaqr5_(logical *wantt, logical *wantz, integer *kacc22, integer *n, integer
ns = *nshfts - *nshfts % 2;
safmin = dlamch_((char *)"SAFE MINIMUM", (ftnlen)12);
safmax = 1. / safmin;
dlabad_(&safmin, &safmax);
ulp = dlamch_((char *)"PRECISION", (ftnlen)9);
smlnum = safmin * ((doublereal)(*n) / ulp);
accum = *kacc22 == 1 || *kacc22 == 2;
blk22 = ns > 2 && *kacc22 == 2;
if (*ktop + 2 <= *kbot) {
h__[*ktop + 2 + *ktop * h_dim1] = 0.;
}
nbmps = ns / 2;
kdu = nbmps * 6 - 3;
kdu = nbmps << 2;
i__1 = *kbot - 2;
i__2 = nbmps * 3 - 2;
for (incol = (1 - nbmps) * 3 + *ktop - 1; i__2 < 0 ? incol >= i__1 : incol <= i__1;
i__2 = nbmps << 1;
for (incol = *ktop - (nbmps << 1) + 1; i__2 < 0 ? incol >= i__1 : incol <= i__1;
incol += i__2) {
if (accum) {
jtop = max(*ktop, incol);
} else if (*wantt) {
jtop = 1;
} else {
jtop = *ktop;
}
ndcol = incol + kdu;
if (accum) {
dlaset_((char *)"ALL", &kdu, &kdu, &c_b7, &c_b8, &u[u_offset], ldu, (ftnlen)3);
dlaset_((char *)"A", &kdu, &kdu, &c_b7, &c_b8, &u[u_offset], ldu, (ftnlen)1);
}
i__4 = incol + nbmps * 3 - 3, i__5 = *kbot - 2;
i__4 = incol + (nbmps << 1) - 1, i__5 = *kbot - 2;
i__3 = min(i__4, i__5);
for (krcol = incol; krcol <= i__3; ++krcol) {
i__4 = 1, i__5 = (*ktop - 1 - krcol + 2) / 3 + 1;
i__4 = 1, i__5 = (*ktop - krcol) / 2 + 1;
mtop = max(i__4, i__5);
i__4 = nbmps, i__5 = (*kbot - krcol) / 3;
i__4 = nbmps, i__5 = (*kbot - krcol - 1) / 2;
mbot = min(i__4, i__5);
m22 = mbot + 1;
bmp22 = mbot < nbmps && krcol + (m22 - 1) * 3 == *kbot - 2;
i__4 = mbot;
for (m = mtop; m <= i__4; ++m) {
k = krcol + (m - 1) * 3;
bmp22 = mbot < nbmps && krcol + (m22 - 1 << 1) == *kbot - 2;
if (bmp22) {
k = krcol + (m22 - 1 << 1);
if (k == *ktop - 1) {
dlaqr1_(&c__2, &h__[k + 1 + (k + 1) * h_dim1], ldh, &sr[(m22 << 1) - 1],
&si[(m22 << 1) - 1], &sr[m22 * 2], &si[m22 * 2], &v[m22 * v_dim1 + 1]);
beta = v[m22 * v_dim1 + 1];
dlarfg_(&c__2, &beta, &v[m22 * v_dim1 + 2], &c__1, &v[m22 * v_dim1 + 1]);
} else {
beta = h__[k + 1 + k * h_dim1];
v[m22 * v_dim1 + 2] = h__[k + 2 + k * h_dim1];
dlarfg_(&c__2, &beta, &v[m22 * v_dim1 + 2], &c__1, &v[m22 * v_dim1 + 1]);
h__[k + 1 + k * h_dim1] = beta;
h__[k + 2 + k * h_dim1] = 0.;
}
t1 = v[m22 * v_dim1 + 1];
t2 = t1 * v[m22 * v_dim1 + 2];
i__5 = *kbot, i__6 = k + 3;
i__4 = min(i__5, i__6);
for (j = jtop; j <= i__4; ++j) {
refsum =
h__[j + (k + 1) * h_dim1] + v[m22 * v_dim1 + 2] * h__[j + (k + 2) * h_dim1];
h__[j + (k + 1) * h_dim1] -= refsum * t1;
h__[j + (k + 2) * h_dim1] -= refsum * t2;
}
if (accum) {
jbot = min(ndcol, *kbot);
} else if (*wantt) {
jbot = *n;
} else {
jbot = *kbot;
}
t1 = v[m22 * v_dim1 + 1];
t2 = t1 * v[m22 * v_dim1 + 2];
i__4 = jbot;
for (j = k + 1; j <= i__4; ++j) {
refsum =
h__[k + 1 + j * h_dim1] + v[m22 * v_dim1 + 2] * h__[k + 2 + j * h_dim1];
h__[k + 1 + j * h_dim1] -= refsum * t1;
h__[k + 2 + j * h_dim1] -= refsum * t2;
}
if (k >= *ktop) {
if (h__[k + 1 + k * h_dim1] != 0.) {
tst1 = (d__1 = h__[k + k * h_dim1], abs(d__1)) +
(d__2 = h__[k + 1 + (k + 1) * h_dim1], abs(d__2));
if (tst1 == 0.) {
if (k >= *ktop + 1) {
tst1 += (d__1 = h__[k + (k - 1) * h_dim1], abs(d__1));
}
if (k >= *ktop + 2) {
tst1 += (d__1 = h__[k + (k - 2) * h_dim1], abs(d__1));
}
if (k >= *ktop + 3) {
tst1 += (d__1 = h__[k + (k - 3) * h_dim1], abs(d__1));
}
if (k <= *kbot - 2) {
tst1 += (d__1 = h__[k + 2 + (k + 1) * h_dim1], abs(d__1));
}
if (k <= *kbot - 3) {
tst1 += (d__1 = h__[k + 3 + (k + 1) * h_dim1], abs(d__1));
}
if (k <= *kbot - 4) {
tst1 += (d__1 = h__[k + 4 + (k + 1) * h_dim1], abs(d__1));
}
}
d__2 = smlnum, d__3 = ulp * tst1;
if ((d__1 = h__[k + 1 + k * h_dim1], abs(d__1)) <= max(d__2, d__3)) {
d__3 = (d__1 = h__[k + 1 + k * h_dim1], abs(d__1)),
d__4 = (d__2 = h__[k + (k + 1) * h_dim1], abs(d__2));
h12 = max(d__3, d__4);
d__3 = (d__1 = h__[k + 1 + k * h_dim1], abs(d__1)),
d__4 = (d__2 = h__[k + (k + 1) * h_dim1], abs(d__2));
h21 = min(d__3, d__4);
d__3 = (d__1 = h__[k + 1 + (k + 1) * h_dim1], abs(d__1)),
d__4 = (d__2 = h__[k + k * h_dim1] - h__[k + 1 + (k + 1) * h_dim1],
abs(d__2));
h11 = max(d__3, d__4);
d__3 = (d__1 = h__[k + 1 + (k + 1) * h_dim1], abs(d__1)),
d__4 = (d__2 = h__[k + k * h_dim1] - h__[k + 1 + (k + 1) * h_dim1],
abs(d__2));
h22 = min(d__3, d__4);
scl = h11 + h12;
tst2 = h22 * (h11 / scl);
d__1 = smlnum, d__2 = ulp * tst2;
if (tst2 == 0. || h21 * (h12 / scl) <= max(d__1, d__2)) {
h__[k + 1 + k * h_dim1] = 0.;
}
}
}
}
if (accum) {
kms = k - incol;
t1 = v[m22 * v_dim1 + 1];
t2 = t1 * v[m22 * v_dim1 + 2];
i__4 = 1, i__5 = *ktop - incol;
i__6 = kdu;
for (j = max(i__4, i__5); j <= i__6; ++j) {
refsum = u[j + (kms + 1) * u_dim1] +
v[m22 * v_dim1 + 2] * u[j + (kms + 2) * u_dim1];
u[j + (kms + 1) * u_dim1] -= refsum * t1;
u[j + (kms + 2) * u_dim1] -= refsum * t2;
}
} else if (*wantz) {
t1 = v[m22 * v_dim1 + 1];
t2 = t1 * v[m22 * v_dim1 + 2];
i__6 = *ihiz;
for (j = *iloz; j <= i__6; ++j) {
refsum = z__[j + (k + 1) * z_dim1] +
v[m22 * v_dim1 + 2] * z__[j + (k + 2) * z_dim1];
z__[j + (k + 1) * z_dim1] -= refsum * t1;
z__[j + (k + 2) * z_dim1] -= refsum * t2;
}
}
}
i__6 = mtop;
for (m = mbot; m >= i__6; --m) {
k = krcol + (m - 1 << 1);
if (k == *ktop - 1) {
dlaqr1_(&c__3, &h__[*ktop + *ktop * h_dim1], ldh, &sr[(m << 1) - 1],
&si[(m << 1) - 1], &sr[m * 2], &si[m * 2], &v[m * v_dim1 + 1]);
alpha = v[m * v_dim1 + 1];
dlarfg_(&c__3, &alpha, &v[m * v_dim1 + 2], &c__1, &v[m * v_dim1 + 1]);
} else {
t1 = v[m * v_dim1 + 1];
t2 = t1 * v[m * v_dim1 + 2];
t3 = t1 * v[m * v_dim1 + 3];
refsum = v[m * v_dim1 + 3] * h__[k + 3 + (k + 2) * h_dim1];
h__[k + 3 + k * h_dim1] = -refsum * t1;
h__[k + 3 + (k + 1) * h_dim1] = -refsum * t2;
h__[k + 3 + (k + 2) * h_dim1] -= refsum * t3;
beta = h__[k + 1 + k * h_dim1];
v[m * v_dim1 + 2] = h__[k + 2 + k * h_dim1];
v[m * v_dim1 + 3] = h__[k + 3 + k * h_dim1];
@ -142,10 +259,12 @@ int dlaqr5_(logical *wantt, logical *wantz, integer *kacc22, integer *n, integer
&si[(m << 1) - 1], &sr[m * 2], &si[m * 2], vt);
alpha = vt[0];
dlarfg_(&c__3, &alpha, &vt[1], &c__1, vt);
refsum =
vt[0] * (h__[k + 1 + k * h_dim1] + vt[1] * h__[k + 2 + k * h_dim1]);
if ((d__1 = h__[k + 2 + k * h_dim1] - refsum * vt[1], abs(d__1)) +
(d__2 = refsum * vt[2], abs(d__2)) >
t1 = vt[0];
t2 = t1 * vt[1];
t3 = t1 * vt[2];
refsum = h__[k + 1 + k * h_dim1] + vt[1] * h__[k + 2 + k * h_dim1];
if ((d__1 = h__[k + 2 + k * h_dim1] - refsum * t2, abs(d__1)) +
(d__2 = refsum * t3, abs(d__2)) >
ulp * ((d__3 = h__[k + k * h_dim1], abs(d__3)) +
(d__4 = h__[k + 1 + (k + 1) * h_dim1], abs(d__4)) +
(d__5 = h__[k + 2 + (k + 2) * h_dim1], abs(d__5)))) {
@ -153,7 +272,7 @@ int dlaqr5_(logical *wantt, logical *wantz, integer *kacc22, integer *n, integer
h__[k + 2 + k * h_dim1] = 0.;
h__[k + 3 + k * h_dim1] = 0.;
} else {
h__[k + 1 + k * h_dim1] -= refsum;
h__[k + 1 + k * h_dim1] -= refsum * t1;
h__[k + 2 + k * h_dim1] = 0.;
h__[k + 3 + k * h_dim1] = 0.;
v[m * v_dim1 + 1] = vt[0];
@ -162,154 +281,28 @@ int dlaqr5_(logical *wantt, logical *wantz, integer *kacc22, integer *n, integer
}
}
}
}
k = krcol + (m22 - 1) * 3;
if (bmp22) {
if (k == *ktop - 1) {
dlaqr1_(&c__2, &h__[k + 1 + (k + 1) * h_dim1], ldh, &sr[(m22 << 1) - 1],
&si[(m22 << 1) - 1], &sr[m22 * 2], &si[m22 * 2], &v[m22 * v_dim1 + 1]);
beta = v[m22 * v_dim1 + 1];
dlarfg_(&c__2, &beta, &v[m22 * v_dim1 + 2], &c__1, &v[m22 * v_dim1 + 1]);
} else {
beta = h__[k + 1 + k * h_dim1];
v[m22 * v_dim1 + 2] = h__[k + 2 + k * h_dim1];
dlarfg_(&c__2, &beta, &v[m22 * v_dim1 + 2], &c__1, &v[m22 * v_dim1 + 1]);
h__[k + 1 + k * h_dim1] = beta;
h__[k + 2 + k * h_dim1] = 0.;
t1 = v[m * v_dim1 + 1];
t2 = t1 * v[m * v_dim1 + 2];
t3 = t1 * v[m * v_dim1 + 3];
i__5 = *kbot, i__7 = k + 3;
i__4 = min(i__5, i__7);
for (j = jtop; j <= i__4; ++j) {
refsum = h__[j + (k + 1) * h_dim1] +
v[m * v_dim1 + 2] * h__[j + (k + 2) * h_dim1] +
v[m * v_dim1 + 3] * h__[j + (k + 3) * h_dim1];
h__[j + (k + 1) * h_dim1] -= refsum * t1;
h__[j + (k + 2) * h_dim1] -= refsum * t2;
h__[j + (k + 3) * h_dim1] -= refsum * t3;
}
}
if (accum) {
jbot = min(ndcol, *kbot);
} else if (*wantt) {
jbot = *n;
} else {
jbot = *kbot;
}
i__4 = jbot;
for (j = max(*ktop, krcol); j <= i__4; ++j) {
i__5 = mbot, i__6 = (j - krcol + 2) / 3;
mend = min(i__5, i__6);
i__5 = mend;
for (m = mtop; m <= i__5; ++m) {
k = krcol + (m - 1) * 3;
refsum = v[m * v_dim1 + 1] * (h__[k + 1 + j * h_dim1] +
v[m * v_dim1 + 2] * h__[k + 2 + j * h_dim1] +
v[m * v_dim1 + 3] * h__[k + 3 + j * h_dim1]);
h__[k + 1 + j * h_dim1] -= refsum;
h__[k + 2 + j * h_dim1] -= refsum * v[m * v_dim1 + 2];
h__[k + 3 + j * h_dim1] -= refsum * v[m * v_dim1 + 3];
refsum = h__[k + 1 + (k + 1) * h_dim1] +
v[m * v_dim1 + 2] * h__[k + 2 + (k + 1) * h_dim1] +
v[m * v_dim1 + 3] * h__[k + 3 + (k + 1) * h_dim1];
h__[k + 1 + (k + 1) * h_dim1] -= refsum * t1;
h__[k + 2 + (k + 1) * h_dim1] -= refsum * t2;
h__[k + 3 + (k + 1) * h_dim1] -= refsum * t3;
if (k < *ktop) {
goto L85;
}
}
if (bmp22) {
k = krcol + (m22 - 1) * 3;
i__4 = k + 1;
i__5 = jbot;
for (j = max(i__4, *ktop); j <= i__5; ++j) {
refsum = v[m22 * v_dim1 + 1] * (h__[k + 1 + j * h_dim1] +
v[m22 * v_dim1 + 2] * h__[k + 2 + j * h_dim1]);
h__[k + 1 + j * h_dim1] -= refsum;
h__[k + 2 + j * h_dim1] -= refsum * v[m22 * v_dim1 + 2];
}
}
if (accum) {
jtop = max(*ktop, incol);
} else if (*wantt) {
jtop = 1;
} else {
jtop = *ktop;
}
i__5 = mbot;
for (m = mtop; m <= i__5; ++m) {
if (v[m * v_dim1 + 1] != 0.) {
k = krcol + (m - 1) * 3;
i__6 = *kbot, i__7 = k + 3;
i__4 = min(i__6, i__7);
for (j = jtop; j <= i__4; ++j) {
refsum =
v[m * v_dim1 + 1] * (h__[j + (k + 1) * h_dim1] +
v[m * v_dim1 + 2] * h__[j + (k + 2) * h_dim1] +
v[m * v_dim1 + 3] * h__[j + (k + 3) * h_dim1]);
h__[j + (k + 1) * h_dim1] -= refsum;
h__[j + (k + 2) * h_dim1] -= refsum * v[m * v_dim1 + 2];
h__[j + (k + 3) * h_dim1] -= refsum * v[m * v_dim1 + 3];
}
if (accum) {
kms = k - incol;
i__4 = 1, i__6 = *ktop - incol;
i__7 = kdu;
for (j = max(i__4, i__6); j <= i__7; ++j) {
refsum =
v[m * v_dim1 + 1] * (u[j + (kms + 1) * u_dim1] +
v[m * v_dim1 + 2] * u[j + (kms + 2) * u_dim1] +
v[m * v_dim1 + 3] * u[j + (kms + 3) * u_dim1]);
u[j + (kms + 1) * u_dim1] -= refsum;
u[j + (kms + 2) * u_dim1] -= refsum * v[m * v_dim1 + 2];
u[j + (kms + 3) * u_dim1] -= refsum * v[m * v_dim1 + 3];
}
} else if (*wantz) {
i__7 = *ihiz;
for (j = *iloz; j <= i__7; ++j) {
refsum =
v[m * v_dim1 + 1] * (z__[j + (k + 1) * z_dim1] +
v[m * v_dim1 + 2] * z__[j + (k + 2) * z_dim1] +
v[m * v_dim1 + 3] * z__[j + (k + 3) * z_dim1]);
z__[j + (k + 1) * z_dim1] -= refsum;
z__[j + (k + 2) * z_dim1] -= refsum * v[m * v_dim1 + 2];
z__[j + (k + 3) * z_dim1] -= refsum * v[m * v_dim1 + 3];
}
}
}
}
k = krcol + (m22 - 1) * 3;
if (bmp22) {
if (v[m22 * v_dim1 + 1] != 0.) {
i__7 = *kbot, i__4 = k + 3;
i__5 = min(i__7, i__4);
for (j = jtop; j <= i__5; ++j) {
refsum =
v[m22 * v_dim1 + 1] * (h__[j + (k + 1) * h_dim1] +
v[m22 * v_dim1 + 2] * h__[j + (k + 2) * h_dim1]);
h__[j + (k + 1) * h_dim1] -= refsum;
h__[j + (k + 2) * h_dim1] -= refsum * v[m22 * v_dim1 + 2];
}
if (accum) {
kms = k - incol;
i__5 = 1, i__7 = *ktop - incol;
i__4 = kdu;
for (j = max(i__5, i__7); j <= i__4; ++j) {
refsum = v[m22 * v_dim1 + 1] *
(u[j + (kms + 1) * u_dim1] +
v[m22 * v_dim1 + 2] * u[j + (kms + 2) * u_dim1]);
u[j + (kms + 1) * u_dim1] -= refsum;
u[j + (kms + 2) * u_dim1] -= refsum * v[m22 * v_dim1 + 2];
}
} else if (*wantz) {
i__4 = *ihiz;
for (j = *iloz; j <= i__4; ++j) {
refsum = v[m22 * v_dim1 + 1] *
(z__[j + (k + 1) * z_dim1] +
v[m22 * v_dim1 + 2] * z__[j + (k + 2) * z_dim1]);
z__[j + (k + 1) * z_dim1] -= refsum;
z__[j + (k + 2) * z_dim1] -= refsum * v[m22 * v_dim1 + 2];
}
}
}
}
mstart = mtop;
if (krcol + (mstart - 1) * 3 < *ktop) {
++mstart;
}
mend = mbot;
if (bmp22) {
++mend;
}
if (krcol == *kbot - 2) {
++mend;
}
i__4 = mend;
for (m = mstart; m <= i__4; ++m) {
i__5 = *kbot - 1, i__7 = krcol + (m - 1) * 3;
k = min(i__5, i__7);
if (h__[k + 1 + k * h_dim1] != 0.) {
tst1 = (d__1 = h__[k + k * h_dim1], abs(d__1)) +
(d__2 = h__[k + 1 + (k + 1) * h_dim1], abs(d__2));
@ -357,16 +350,72 @@ int dlaqr5_(logical *wantt, logical *wantz, integer *kacc22, integer *n, integer
}
}
}
L85:;
}
i__4 = nbmps, i__5 = (*kbot - krcol - 1) / 3;
mend = min(i__4, i__5);
i__4 = mend;
for (m = mtop; m <= i__4; ++m) {
k = krcol + (m - 1) * 3;
refsum = v[m * v_dim1 + 1] * v[m * v_dim1 + 3] * h__[k + 4 + (k + 3) * h_dim1];
h__[k + 4 + (k + 1) * h_dim1] = -refsum;
h__[k + 4 + (k + 2) * h_dim1] = -refsum * v[m * v_dim1 + 2];
h__[k + 4 + (k + 3) * h_dim1] -= refsum * v[m * v_dim1 + 3];
if (accum) {
jbot = min(ndcol, *kbot);
} else if (*wantt) {
jbot = *n;
} else {
jbot = *kbot;
}
i__6 = mtop;
for (m = mbot; m >= i__6; --m) {
k = krcol + (m - 1 << 1);
t1 = v[m * v_dim1 + 1];
t2 = t1 * v[m * v_dim1 + 2];
t3 = t1 * v[m * v_dim1 + 3];
i__4 = *ktop, i__5 = krcol + (m << 1);
i__7 = jbot;
for (j = max(i__4, i__5); j <= i__7; ++j) {
refsum = h__[k + 1 + j * h_dim1] + v[m * v_dim1 + 2] * h__[k + 2 + j * h_dim1] +
v[m * v_dim1 + 3] * h__[k + 3 + j * h_dim1];
h__[k + 1 + j * h_dim1] -= refsum * t1;
h__[k + 2 + j * h_dim1] -= refsum * t2;
h__[k + 3 + j * h_dim1] -= refsum * t3;
}
}
if (accum) {
i__6 = mtop;
for (m = mbot; m >= i__6; --m) {
k = krcol + (m - 1 << 1);
kms = k - incol;
i__7 = 1, i__4 = *ktop - incol;
i2 = max(i__7, i__4);
i__7 = i2, i__4 = kms - (krcol - incol) + 1;
i2 = max(i__7, i__4);
i__7 = kdu, i__4 = krcol + (mbot - 1 << 1) - incol + 5;
i4 = min(i__7, i__4);
t1 = v[m * v_dim1 + 1];
t2 = t1 * v[m * v_dim1 + 2];
t3 = t1 * v[m * v_dim1 + 3];
i__7 = i4;
for (j = i2; j <= i__7; ++j) {
refsum = u[j + (kms + 1) * u_dim1] +
v[m * v_dim1 + 2] * u[j + (kms + 2) * u_dim1] +
v[m * v_dim1 + 3] * u[j + (kms + 3) * u_dim1];
u[j + (kms + 1) * u_dim1] -= refsum * t1;
u[j + (kms + 2) * u_dim1] -= refsum * t2;
u[j + (kms + 3) * u_dim1] -= refsum * t3;
}
}
} else if (*wantz) {
i__6 = mtop;
for (m = mbot; m >= i__6; --m) {
k = krcol + (m - 1 << 1);
t1 = v[m * v_dim1 + 1];
t2 = t1 * v[m * v_dim1 + 2];
t3 = t1 * v[m * v_dim1 + 3];
i__7 = *ihiz;
for (j = *iloz; j <= i__7; ++j) {
refsum = z__[j + (k + 1) * z_dim1] +
v[m * v_dim1 + 2] * z__[j + (k + 2) * z_dim1] +
v[m * v_dim1 + 3] * z__[j + (k + 3) * z_dim1];
z__[j + (k + 1) * z_dim1] -= refsum * t1;
z__[j + (k + 2) * z_dim1] -= refsum * t2;
z__[j + (k + 3) * z_dim1] -= refsum * t3;
}
}
}
}
if (accum) {
@ -377,139 +426,44 @@ int dlaqr5_(logical *wantt, logical *wantz, integer *kacc22, integer *n, integer
jtop = *ktop;
jbot = *kbot;
}
if (!blk22 || incol < *ktop || ndcol > *kbot || ns <= 2) {
i__3 = 1, i__4 = *ktop - incol;
k1 = max(i__3, i__4);
i__3 = 0, i__4 = ndcol - *kbot;
nu = kdu - max(i__3, i__4) - k1 + 1;
i__3 = jbot;
i__4 = *nh;
for (jcol = min(ndcol, *kbot) + 1; i__4 < 0 ? jcol >= i__3 : jcol <= i__3;
jcol += i__4) {
i__5 = *nh, i__7 = jbot - jcol + 1;
jlen = min(i__5, i__7);
dgemm_((char *)"C", (char *)"N", &nu, &jlen, &nu, &c_b8, &u[k1 + k1 * u_dim1], ldu,
&h__[incol + k1 + jcol * h_dim1], ldh, &c_b7, &wh[wh_offset], ldwh,
(ftnlen)1, (ftnlen)1);
dlacpy_((char *)"ALL", &nu, &jlen, &wh[wh_offset], ldwh,
&h__[incol + k1 + jcol * h_dim1], ldh, (ftnlen)3);
}
i__4 = max(*ktop, incol) - 1;
i__3 = *nv;
for (jrow = jtop; i__3 < 0 ? jrow >= i__4 : jrow <= i__4; jrow += i__3) {
i__5 = *nv, i__7 = max(*ktop, incol) - jrow;
jlen = min(i__5, i__7);
dgemm_((char *)"N", (char *)"N", &jlen, &nu, &nu, &c_b8, &h__[jrow + (incol + k1) * h_dim1],
ldh, &u[k1 + k1 * u_dim1], ldu, &c_b7, &wv[wv_offset], ldwv, (ftnlen)1,
i__3 = 1, i__6 = *ktop - incol;
k1 = max(i__3, i__6);
i__3 = 0, i__6 = ndcol - *kbot;
nu = kdu - max(i__3, i__6) - k1 + 1;
i__3 = jbot;
i__6 = *nh;
for (jcol = min(ndcol, *kbot) + 1; i__6 < 0 ? jcol >= i__3 : jcol <= i__3;
jcol += i__6) {
i__7 = *nh, i__4 = jbot - jcol + 1;
jlen = min(i__7, i__4);
dgemm_((char *)"C", (char *)"N", &nu, &jlen, &nu, &c_b8, &u[k1 + k1 * u_dim1], ldu,
&h__[incol + k1 + jcol * h_dim1], ldh, &c_b7, &wh[wh_offset], ldwh,
(ftnlen)1, (ftnlen)1);
dlacpy_((char *)"A", &nu, &jlen, &wh[wh_offset], ldwh, &h__[incol + k1 + jcol * h_dim1],
ldh, (ftnlen)1);
}
i__6 = max(*ktop, incol) - 1;
i__3 = *nv;
for (jrow = jtop; i__3 < 0 ? jrow >= i__6 : jrow <= i__6; jrow += i__3) {
i__7 = *nv, i__4 = max(*ktop, incol) - jrow;
jlen = min(i__7, i__4);
dgemm_((char *)"N", (char *)"N", &jlen, &nu, &nu, &c_b8, &h__[jrow + (incol + k1) * h_dim1], ldh,
&u[k1 + k1 * u_dim1], ldu, &c_b7, &wv[wv_offset], ldwv, (ftnlen)1,
(ftnlen)1);
dlacpy_((char *)"A", &jlen, &nu, &wv[wv_offset], ldwv, &h__[jrow + (incol + k1) * h_dim1],
ldh, (ftnlen)1);
}
if (*wantz) {
i__3 = *ihiz;
i__6 = *nv;
for (jrow = *iloz; i__6 < 0 ? jrow >= i__3 : jrow <= i__3; jrow += i__6) {
i__7 = *nv, i__4 = *ihiz - jrow + 1;
jlen = min(i__7, i__4);
dgemm_((char *)"N", (char *)"N", &jlen, &nu, &nu, &c_b8, &z__[jrow + (incol + k1) * z_dim1],
ldz, &u[k1 + k1 * u_dim1], ldu, &c_b7, &wv[wv_offset], ldwv, (ftnlen)1,
(ftnlen)1);
dlacpy_((char *)"ALL", &jlen, &nu, &wv[wv_offset], ldwv,
&h__[jrow + (incol + k1) * h_dim1], ldh, (ftnlen)3);
}
if (*wantz) {
i__3 = *ihiz;
i__4 = *nv;
for (jrow = *iloz; i__4 < 0 ? jrow >= i__3 : jrow <= i__3; jrow += i__4) {
i__5 = *nv, i__7 = *ihiz - jrow + 1;
jlen = min(i__5, i__7);
dgemm_((char *)"N", (char *)"N", &jlen, &nu, &nu, &c_b8, &z__[jrow + (incol + k1) * z_dim1],
ldz, &u[k1 + k1 * u_dim1], ldu, &c_b7, &wv[wv_offset], ldwv,
(ftnlen)1, (ftnlen)1);
dlacpy_((char *)"ALL", &jlen, &nu, &wv[wv_offset], ldwv,
&z__[jrow + (incol + k1) * z_dim1], ldz, (ftnlen)3);
}
}
} else {
i2 = (kdu + 1) / 2;
i4 = kdu;
j2 = i4 - i2;
j4 = kdu;
kzs = j4 - j2 - (ns + 1);
knz = ns + 1;
i__4 = jbot;
i__3 = *nh;
for (jcol = min(ndcol, *kbot) + 1; i__3 < 0 ? jcol >= i__4 : jcol <= i__4;
jcol += i__3) {
i__5 = *nh, i__7 = jbot - jcol + 1;
jlen = min(i__5, i__7);
dlacpy_((char *)"ALL", &knz, &jlen, &h__[incol + 1 + j2 + jcol * h_dim1], ldh,
&wh[kzs + 1 + wh_dim1], ldwh, (ftnlen)3);
dlaset_((char *)"ALL", &kzs, &jlen, &c_b7, &c_b7, &wh[wh_offset], ldwh, (ftnlen)3);
dtrmm_((char *)"L", (char *)"U", (char *)"C", (char *)"N", &knz, &jlen, &c_b8, &u[j2 + 1 + (kzs + 1) * u_dim1],
ldu, &wh[kzs + 1 + wh_dim1], ldwh, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
dgemm_((char *)"C", (char *)"N", &i2, &jlen, &j2, &c_b8, &u[u_offset], ldu,
&h__[incol + 1 + jcol * h_dim1], ldh, &c_b8, &wh[wh_offset], ldwh,
(ftnlen)1, (ftnlen)1);
dlacpy_((char *)"ALL", &j2, &jlen, &h__[incol + 1 + jcol * h_dim1], ldh,
&wh[i2 + 1 + wh_dim1], ldwh, (ftnlen)3);
dtrmm_((char *)"L", (char *)"L", (char *)"C", (char *)"N", &j2, &jlen, &c_b8, &u[(i2 + 1) * u_dim1 + 1], ldu,
&wh[i2 + 1 + wh_dim1], ldwh, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__5 = i4 - i2;
i__7 = j4 - j2;
dgemm_((char *)"C", (char *)"N", &i__5, &jlen, &i__7, &c_b8, &u[j2 + 1 + (i2 + 1) * u_dim1],
ldu, &h__[incol + 1 + j2 + jcol * h_dim1], ldh, &c_b8,
&wh[i2 + 1 + wh_dim1], ldwh, (ftnlen)1, (ftnlen)1);
dlacpy_((char *)"ALL", &kdu, &jlen, &wh[wh_offset], ldwh,
&h__[incol + 1 + jcol * h_dim1], ldh, (ftnlen)3);
}
i__3 = max(incol, *ktop) - 1;
i__4 = *nv;
for (jrow = jtop; i__4 < 0 ? jrow >= i__3 : jrow <= i__3; jrow += i__4) {
i__5 = *nv, i__7 = max(incol, *ktop) - jrow;
jlen = min(i__5, i__7);
dlacpy_((char *)"ALL", &jlen, &knz, &h__[jrow + (incol + 1 + j2) * h_dim1], ldh,
&wv[(kzs + 1) * wv_dim1 + 1], ldwv, (ftnlen)3);
dlaset_((char *)"ALL", &jlen, &kzs, &c_b7, &c_b7, &wv[wv_offset], ldwv, (ftnlen)3);
dtrmm_((char *)"R", (char *)"U", (char *)"N", (char *)"N", &jlen, &knz, &c_b8, &u[j2 + 1 + (kzs + 1) * u_dim1],
ldu, &wv[(kzs + 1) * wv_dim1 + 1], ldwv, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
dgemm_((char *)"N", (char *)"N", &jlen, &i2, &j2, &c_b8, &h__[jrow + (incol + 1) * h_dim1], ldh,
&u[u_offset], ldu, &c_b8, &wv[wv_offset], ldwv, (ftnlen)1, (ftnlen)1);
dlacpy_((char *)"ALL", &jlen, &j2, &h__[jrow + (incol + 1) * h_dim1], ldh,
&wv[(i2 + 1) * wv_dim1 + 1], ldwv, (ftnlen)3);
i__5 = i4 - i2;
dtrmm_((char *)"R", (char *)"L", (char *)"N", (char *)"N", &jlen, &i__5, &c_b8, &u[(i2 + 1) * u_dim1 + 1], ldu,
&wv[(i2 + 1) * wv_dim1 + 1], ldwv, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
i__5 = i4 - i2;
i__7 = j4 - j2;
dgemm_((char *)"N", (char *)"N", &jlen, &i__5, &i__7, &c_b8,
&h__[jrow + (incol + 1 + j2) * h_dim1], ldh,
&u[j2 + 1 + (i2 + 1) * u_dim1], ldu, &c_b8, &wv[(i2 + 1) * wv_dim1 + 1],
ldwv, (ftnlen)1, (ftnlen)1);
dlacpy_((char *)"ALL", &jlen, &kdu, &wv[wv_offset], ldwv,
&h__[jrow + (incol + 1) * h_dim1], ldh, (ftnlen)3);
}
if (*wantz) {
i__4 = *ihiz;
i__3 = *nv;
for (jrow = *iloz; i__3 < 0 ? jrow >= i__4 : jrow <= i__4; jrow += i__3) {
i__5 = *nv, i__7 = *ihiz - jrow + 1;
jlen = min(i__5, i__7);
dlacpy_((char *)"ALL", &jlen, &knz, &z__[jrow + (incol + 1 + j2) * z_dim1], ldz,
&wv[(kzs + 1) * wv_dim1 + 1], ldwv, (ftnlen)3);
dlaset_((char *)"ALL", &jlen, &kzs, &c_b7, &c_b7, &wv[wv_offset], ldwv, (ftnlen)3);
dtrmm_((char *)"R", (char *)"U", (char *)"N", (char *)"N", &jlen, &knz, &c_b8,
&u[j2 + 1 + (kzs + 1) * u_dim1], ldu, &wv[(kzs + 1) * wv_dim1 + 1],
ldwv, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
dgemm_((char *)"N", (char *)"N", &jlen, &i2, &j2, &c_b8, &z__[jrow + (incol + 1) * z_dim1],
ldz, &u[u_offset], ldu, &c_b8, &wv[wv_offset], ldwv, (ftnlen)1,
(ftnlen)1);
dlacpy_((char *)"ALL", &jlen, &j2, &z__[jrow + (incol + 1) * z_dim1], ldz,
&wv[(i2 + 1) * wv_dim1 + 1], ldwv, (ftnlen)3);
i__5 = i4 - i2;
dtrmm_((char *)"R", (char *)"L", (char *)"N", (char *)"N", &jlen, &i__5, &c_b8, &u[(i2 + 1) * u_dim1 + 1],
ldu, &wv[(i2 + 1) * wv_dim1 + 1], ldwv, (ftnlen)1, (ftnlen)1,
(ftnlen)1, (ftnlen)1);
i__5 = i4 - i2;
i__7 = j4 - j2;
dgemm_((char *)"N", (char *)"N", &jlen, &i__5, &i__7, &c_b8,
&z__[jrow + (incol + 1 + j2) * z_dim1], ldz,
&u[j2 + 1 + (i2 + 1) * u_dim1], ldu, &c_b8,
&wv[(i2 + 1) * wv_dim1 + 1], ldwv, (ftnlen)1, (ftnlen)1);
dlacpy_((char *)"ALL", &jlen, &kdu, &wv[wv_offset], ldwv,
&z__[jrow + (incol + 1) * z_dim1], ldz, (ftnlen)3);
}
dlacpy_((char *)"A", &jlen, &nu, &wv[wv_offset], ldwv,
&z__[jrow + (incol + k1) * z_dim1], ldz, (ftnlen)1);
}
}
}

8
lib/linalg/dlarf.cpp
View File

@ -51,15 +51,15 @@ int dlarf_(char *side, integer *m, integer *n, doublereal *v, integer *incv, dou
}
if (applyleft) {
if (lastv > 0) {
dgemv_((char *)"Transpose", &lastv, &lastc, &c_b4, &c__[c_offset], ldc, &v[1], incv, &c_b5,
&work[1], &c__1, (ftnlen)9);
dgemv_((char *)"T", &lastv, &lastc, &c_b4, &c__[c_offset], ldc, &v[1], incv, &c_b5, &work[1],
&c__1, (ftnlen)1);
d__1 = -(*tau);
dger_(&lastv, &lastc, &d__1, &v[1], incv, &work[1], &c__1, &c__[c_offset], ldc);
}
} else {
if (lastv > 0) {
dgemv_((char *)"No transpose", &lastc, &lastv, &c_b4, &c__[c_offset], ldc, &v[1], incv, &c_b5,
&work[1], &c__1, (ftnlen)12);
dgemv_((char *)"N", &lastc, &lastv, &c_b4, &c__[c_offset], ldc, &v[1], incv, &c_b5, &work[1],
&c__1, (ftnlen)1);
d__1 = -(*tau);
dger_(&lastc, &lastv, &d__1, &work[1], &c__1, &v[1], incv, &c__[c_offset], ldc);
}

95
lib/linalg/dlarf1f.cpp Normal file
View File

@ -0,0 +1,95 @@
#ifdef __cplusplus
extern "C" {
#endif
#include "lmp_f2c.h"
static doublereal c_b4 = 1.;
static doublereal c_b5 = 0.;
static integer c__1 = 1;
int dlarf1f_(char *side, integer *m, integer *n, doublereal *v, integer *incv, doublereal *tau,
doublereal *c__, integer *ldc, doublereal *work, ftnlen side_len)
{
integer c_dim1, c_offset, i__1;
doublereal d__1;
integer i__;
logical applyleft;
extern int dger_(integer *, integer *, doublereal *, doublereal *, integer *, doublereal *,
integer *, doublereal *, integer *),
dscal_(integer *, doublereal *, doublereal *, integer *);
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern int dgemv_(char *, integer *, integer *, doublereal *, doublereal *, integer *,
doublereal *, integer *, doublereal *, doublereal *, integer *, ftnlen);
integer lastc;
extern int daxpy_(integer *, doublereal *, doublereal *, integer *, doublereal *, integer *);
integer lastv;
extern integer iladlc_(integer *, integer *, doublereal *, integer *),
iladlr_(integer *, integer *, doublereal *, integer *);
--v;
c_dim1 = *ldc;
c_offset = 1 + c_dim1;
c__ -= c_offset;
--work;
applyleft = lsame_(side, (char *)"L", (ftnlen)1, (ftnlen)1);
lastv = 1;
lastc = 0;
if (*tau != 0.) {
if (applyleft) {
lastv = *m;
} else {
lastv = *n;
}
if (*incv > 0) {
i__ = (lastv - 1) * *incv + 1;
} else {
i__ = 1;
}
while (lastv > 1 && v[i__] == 0.) {
--lastv;
i__ -= *incv;
}
if (applyleft) {
lastc = iladlc_(&lastv, n, &c__[c_offset], ldc);
} else {
lastc = iladlr_(m, &lastv, &c__[c_offset], ldc);
}
}
if (lastc == 0) {
return 0;
}
if (applyleft) {
if (lastv == 1) {
d__1 = 1. - *tau;
dscal_(&lastc, &d__1, &c__[c_offset], ldc);
} else {
i__1 = lastv - 1;
dgemv_((char *)"T", &i__1, &lastc, &c_b4, &c__[c_dim1 + 2], ldc, &v[*incv + 1], incv, &c_b5,
&work[1], &c__1, (ftnlen)1);
daxpy_(&lastc, &c_b4, &c__[c_offset], ldc, &work[1], &c__1);
d__1 = -(*tau);
daxpy_(&lastc, &d__1, &work[1], &c__1, &c__[c_offset], ldc);
i__1 = lastv - 1;
d__1 = -(*tau);
dger_(&i__1, &lastc, &d__1, &v[*incv + 1], incv, &work[1], &c__1, &c__[c_dim1 + 2],
ldc);
}
} else {
if (lastv == 1) {
d__1 = 1. - *tau;
dscal_(&lastc, &d__1, &c__[c_offset], &c__1);
} else {
i__1 = lastv - 1;
dgemv_((char *)"N", &lastc, &i__1, &c_b4, &c__[(c_dim1 << 1) + 1], ldc, &v[*incv + 1], incv,
&c_b5, &work[1], &c__1, (ftnlen)1);
daxpy_(&lastc, &c_b4, &c__[c_offset], &c__1, &work[1], &c__1);
d__1 = -(*tau);
daxpy_(&lastc, &d__1, &work[1], &c__1, &c__[c_offset], &c__1);
i__1 = lastv - 1;
d__1 = -(*tau);
dger_(&lastc, &i__1, &d__1, &work[1], &c__1, &v[*incv + 1], incv,
&c__[(c_dim1 << 1) + 1], ldc);
}
}
return 0;
}
#ifdef __cplusplus
}
#endif

96
lib/linalg/dlarf1l.cpp Normal file
View File

@ -0,0 +1,96 @@
#ifdef __cplusplus
extern "C" {
#endif
#include "lmp_f2c.h"
static doublereal c_b4 = 1.;
static doublereal c_b5 = 0.;
static integer c__1 = 1;
int dlarf1l_(char *side, integer *m, integer *n, doublereal *v, integer *incv, doublereal *tau,
doublereal *c__, integer *ldc, doublereal *work, ftnlen side_len)
{
integer c_dim1, c_offset, i__1;
doublereal d__1;
integer i__;
logical applyleft;
extern int dger_(integer *, integer *, doublereal *, doublereal *, integer *, doublereal *,
integer *, doublereal *, integer *),
dscal_(integer *, doublereal *, doublereal *, integer *);
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern int dgemv_(char *, integer *, integer *, doublereal *, doublereal *, integer *,
doublereal *, integer *, doublereal *, doublereal *, integer *, ftnlen);
integer lastc;
extern int daxpy_(integer *, doublereal *, doublereal *, integer *, doublereal *, integer *);
integer lastv;
extern integer iladlc_(integer *, integer *, doublereal *, integer *),
iladlr_(integer *, integer *, doublereal *, integer *);
integer firstv;
--v;
c_dim1 = *ldc;
c_offset = 1 + c_dim1;
c__ -= c_offset;
--work;
applyleft = lsame_(side, (char *)"L", (ftnlen)1, (ftnlen)1);
firstv = 1;
lastc = 0;
if (*tau != 0.) {
if (applyleft) {
lastv = *m;
} else {
lastv = *n;
}
i__ = 1;
while (lastv > firstv && v[i__] == 0.) {
++firstv;
i__ += *incv;
}
if (applyleft) {
lastc = iladlc_(&lastv, n, &c__[c_offset], ldc);
} else {
lastc = iladlr_(m, &lastv, &c__[c_offset], ldc);
}
}
if (lastc == 0) {
return 0;
}
if (applyleft) {
if (lastv > 0) {
if (lastv == firstv) {
d__1 = 1. - *tau;
dscal_(&lastc, &d__1, &c__[firstv + c_dim1], ldc);
} else {
i__1 = lastv - firstv;
dgemv_((char *)"T", &i__1, &lastc, &c_b4, &c__[firstv + c_dim1], ldc, &v[i__], incv, &c_b5,
&work[1], &c__1, (ftnlen)1);
daxpy_(&lastc, &c_b4, &c__[lastv + c_dim1], ldc, &work[1], &c__1);
d__1 = -(*tau);
daxpy_(&lastc, &d__1, &work[1], &c__1, &c__[lastv + c_dim1], ldc);
i__1 = lastv - firstv;
d__1 = -(*tau);
dger_(&i__1, &lastc, &d__1, &v[i__], incv, &work[1], &c__1, &c__[firstv + c_dim1],
ldc);
}
}
} else {
if (lastv > 0) {
if (lastv == firstv) {
d__1 = 1. - *tau;
dscal_(&lastc, &d__1, &c__[c_offset], &c__1);
} else {
i__1 = lastv - firstv;
dgemv_((char *)"N", &lastc, &i__1, &c_b4, &c__[firstv * c_dim1 + 1], ldc, &v[i__], incv,
&c_b5, &work[1], &c__1, (ftnlen)1);
daxpy_(&lastc, &c_b4, &c__[lastv * c_dim1 + 1], &c__1, &work[1], &c__1);
d__1 = -(*tau);
daxpy_(&lastc, &d__1, &work[1], &c__1, &c__[lastv * c_dim1 + 1], &c__1);
i__1 = lastv - firstv;
d__1 = -(*tau);
dger_(&lastc, &i__1, &d__1, &work[1], &c__1, &v[i__], incv,
&c__[firstv * c_dim1 + 1], ldc);
}
}
}
return 0;
}
#ifdef __cplusplus
}
#endif

192
lib/linalg/dlarfb.cpp
View File

@ -48,24 +48,24 @@ int dlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
for (j = 1; j <= i__1; ++j) {
dcopy_(n, &c__[j + c_dim1], ldc, &work[j * work_dim1 + 1], &c__1);
}
dtrmm_((char *)"Right", (char *)"Lower", (char *)"No transpose", (char *)"Unit", n, k, &c_b14, &v[v_offset], ldv,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)12, (ftnlen)4);
dtrmm_((char *)"R", (char *)"L", (char *)"N", (char *)"U", n, k, &c_b14, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
dgemm_((char *)"Transpose", (char *)"No transpose", n, k, &i__1, &c_b14, &c__[*k + 1 + c_dim1],
ldc, &v[*k + 1 + v_dim1], ldv, &c_b14, &work[work_offset], ldwork,
(ftnlen)9, (ftnlen)12);
dgemm_((char *)"T", (char *)"N", n, k, &i__1, &c_b14, &c__[*k + 1 + c_dim1], ldc,
&v[*k + 1 + v_dim1], ldv, &c_b14, &work[work_offset], ldwork, (ftnlen)1,
(ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Upper", transt, (char *)"Non-unit", n, k, &c_b14, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
dtrmm_((char *)"R", (char *)"U", transt, (char *)"N", n, k, &c_b14, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
dgemm_((char *)"No transpose", (char *)"Transpose", &i__1, n, k, &c_b25, &v[*k + 1 + v_dim1],
ldv, &work[work_offset], ldwork, &c_b14, &c__[*k + 1 + c_dim1], ldc,
(ftnlen)12, (ftnlen)9);
dgemm_((char *)"N", (char *)"T", &i__1, n, k, &c_b25, &v[*k + 1 + v_dim1], ldv,
&work[work_offset], ldwork, &c_b14, &c__[*k + 1 + c_dim1], ldc,
(ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Lower", (char *)"Transpose", (char *)"Unit", n, k, &c_b14, &v[v_offset], ldv,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)9, (ftnlen)4);
dtrmm_((char *)"R", (char *)"L", (char *)"T", (char *)"U", n, k, &c_b14, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
@ -78,24 +78,24 @@ int dlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
for (j = 1; j <= i__1; ++j) {
dcopy_(m, &c__[j * c_dim1 + 1], &c__1, &work[j * work_dim1 + 1], &c__1);
}
dtrmm_((char *)"Right", (char *)"Lower", (char *)"No transpose", (char *)"Unit", m, k, &c_b14, &v[v_offset], ldv,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)12, (ftnlen)4);
dtrmm_((char *)"R", (char *)"L", (char *)"N", (char *)"U", m, k, &c_b14, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
dgemm_((char *)"No transpose", (char *)"No transpose", m, k, &i__1, &c_b14,
&c__[(*k + 1) * c_dim1 + 1], ldc, &v[*k + 1 + v_dim1], ldv, &c_b14,
&work[work_offset], ldwork, (ftnlen)12, (ftnlen)12);
dgemm_((char *)"N", (char *)"N", m, k, &i__1, &c_b14, &c__[(*k + 1) * c_dim1 + 1], ldc,
&v[*k + 1 + v_dim1], ldv, &c_b14, &work[work_offset], ldwork, (ftnlen)1,
(ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Upper", trans, (char *)"Non-unit", m, k, &c_b14, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
dtrmm_((char *)"R", (char *)"U", trans, (char *)"N", m, k, &c_b14, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
dgemm_((char *)"No transpose", (char *)"Transpose", m, &i__1, k, &c_b25, &work[work_offset],
ldwork, &v[*k + 1 + v_dim1], ldv, &c_b14, &c__[(*k + 1) * c_dim1 + 1],
ldc, (ftnlen)12, (ftnlen)9);
dgemm_((char *)"N", (char *)"T", m, &i__1, k, &c_b25, &work[work_offset], ldwork,
&v[*k + 1 + v_dim1], ldv, &c_b14, &c__[(*k + 1) * c_dim1 + 1], ldc,
(ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Lower", (char *)"Transpose", (char *)"Unit", m, k, &c_b14, &v[v_offset], ldv,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)9, (ftnlen)4);
dtrmm_((char *)"R", (char *)"L", (char *)"T", (char *)"U", m, k, &c_b14, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
@ -110,26 +110,22 @@ int dlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
for (j = 1; j <= i__1; ++j) {
dcopy_(n, &c__[*m - *k + j + c_dim1], ldc, &work[j * work_dim1 + 1], &c__1);
}
dtrmm_((char *)"Right", (char *)"Upper", (char *)"No transpose", (char *)"Unit", n, k, &c_b14,
&v[*m - *k + 1 + v_dim1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)12, (ftnlen)4);
dtrmm_((char *)"R", (char *)"U", (char *)"N", (char *)"U", n, k, &c_b14, &v[*m - *k + 1 + v_dim1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
dgemm_((char *)"Transpose", (char *)"No transpose", n, k, &i__1, &c_b14, &c__[c_offset], ldc,
&v[v_offset], ldv, &c_b14, &work[work_offset], ldwork, (ftnlen)9,
(ftnlen)12);
dgemm_((char *)"T", (char *)"N", n, k, &i__1, &c_b14, &c__[c_offset], ldc, &v[v_offset], ldv,
&c_b14, &work[work_offset], ldwork, (ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Lower", transt, (char *)"Non-unit", n, k, &c_b14, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
dtrmm_((char *)"R", (char *)"L", transt, (char *)"N", n, k, &c_b14, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
dgemm_((char *)"No transpose", (char *)"Transpose", &i__1, n, k, &c_b25, &v[v_offset], ldv,
&work[work_offset], ldwork, &c_b14, &c__[c_offset], ldc, (ftnlen)12,
(ftnlen)9);
dgemm_((char *)"N", (char *)"T", &i__1, n, k, &c_b25, &v[v_offset], ldv, &work[work_offset],
ldwork, &c_b14, &c__[c_offset], ldc, (ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Upper", (char *)"Transpose", (char *)"Unit", n, k, &c_b14,
&v[*m - *k + 1 + v_dim1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)9, (ftnlen)4);
dtrmm_((char *)"R", (char *)"U", (char *)"T", (char *)"U", n, k, &c_b14, &v[*m - *k + 1 + v_dim1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
@ -143,26 +139,22 @@ int dlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
dcopy_(m, &c__[(*n - *k + j) * c_dim1 + 1], &c__1, &work[j * work_dim1 + 1],
&c__1);
}
dtrmm_((char *)"Right", (char *)"Upper", (char *)"No transpose", (char *)"Unit", m, k, &c_b14,
&v[*n - *k + 1 + v_dim1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)12, (ftnlen)4);
dtrmm_((char *)"R", (char *)"U", (char *)"N", (char *)"U", m, k, &c_b14, &v[*n - *k + 1 + v_dim1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
dgemm_((char *)"No transpose", (char *)"No transpose", m, k, &i__1, &c_b14, &c__[c_offset], ldc,
&v[v_offset], ldv, &c_b14, &work[work_offset], ldwork, (ftnlen)12,
(ftnlen)12);
dgemm_((char *)"N", (char *)"N", m, k, &i__1, &c_b14, &c__[c_offset], ldc, &v[v_offset], ldv,
&c_b14, &work[work_offset], ldwork, (ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Lower", trans, (char *)"Non-unit", m, k, &c_b14, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
dtrmm_((char *)"R", (char *)"L", trans, (char *)"N", m, k, &c_b14, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
dgemm_((char *)"No transpose", (char *)"Transpose", m, &i__1, k, &c_b25, &work[work_offset],
ldwork, &v[v_offset], ldv, &c_b14, &c__[c_offset], ldc, (ftnlen)12,
(ftnlen)9);
dgemm_((char *)"N", (char *)"T", m, &i__1, k, &c_b25, &work[work_offset], ldwork, &v[v_offset],
ldv, &c_b14, &c__[c_offset], ldc, (ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Upper", (char *)"Transpose", (char *)"Unit", m, k, &c_b14,
&v[*n - *k + 1 + v_dim1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)9, (ftnlen)4);
dtrmm_((char *)"R", (char *)"U", (char *)"T", (char *)"U", m, k, &c_b14, &v[*n - *k + 1 + v_dim1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
@ -179,24 +171,24 @@ int dlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
for (j = 1; j <= i__1; ++j) {
dcopy_(n, &c__[j + c_dim1], ldc, &work[j * work_dim1 + 1], &c__1);
}
dtrmm_((char *)"Right", (char *)"Upper", (char *)"Transpose", (char *)"Unit", n, k, &c_b14, &v[v_offset], ldv,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)9, (ftnlen)4);
dtrmm_((char *)"R", (char *)"U", (char *)"T", (char *)"U", n, k, &c_b14, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
dgemm_((char *)"Transpose", (char *)"Transpose", n, k, &i__1, &c_b14, &c__[*k + 1 + c_dim1],
ldc, &v[(*k + 1) * v_dim1 + 1], ldv, &c_b14, &work[work_offset], ldwork,
(ftnlen)9, (ftnlen)9);
dgemm_((char *)"T", (char *)"T", n, k, &i__1, &c_b14, &c__[*k + 1 + c_dim1], ldc,
&v[(*k + 1) * v_dim1 + 1], ldv, &c_b14, &work[work_offset], ldwork,
(ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Upper", transt, (char *)"Non-unit", n, k, &c_b14, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
dtrmm_((char *)"R", (char *)"U", transt, (char *)"N", n, k, &c_b14, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
dgemm_((char *)"Transpose", (char *)"Transpose", &i__1, n, k, &c_b25, &v[(*k + 1) * v_dim1 + 1],
ldv, &work[work_offset], ldwork, &c_b14, &c__[*k + 1 + c_dim1], ldc,
(ftnlen)9, (ftnlen)9);
dgemm_((char *)"T", (char *)"T", &i__1, n, k, &c_b25, &v[(*k + 1) * v_dim1 + 1], ldv,
&work[work_offset], ldwork, &c_b14, &c__[*k + 1 + c_dim1], ldc,
(ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Upper", (char *)"No transpose", (char *)"Unit", n, k, &c_b14, &v[v_offset], ldv,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)12, (ftnlen)4);
dtrmm_((char *)"R", (char *)"U", (char *)"N", (char *)"U", n, k, &c_b14, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
@ -209,24 +201,24 @@ int dlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
for (j = 1; j <= i__1; ++j) {
dcopy_(m, &c__[j * c_dim1 + 1], &c__1, &work[j * work_dim1 + 1], &c__1);
}
dtrmm_((char *)"Right", (char *)"Upper", (char *)"Transpose", (char *)"Unit", m, k, &c_b14, &v[v_offset], ldv,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)9, (ftnlen)4);
dtrmm_((char *)"R", (char *)"U", (char *)"T", (char *)"U", m, k, &c_b14, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
dgemm_((char *)"No transpose", (char *)"Transpose", m, k, &i__1, &c_b14,
&c__[(*k + 1) * c_dim1 + 1], ldc, &v[(*k + 1) * v_dim1 + 1], ldv, &c_b14,
&work[work_offset], ldwork, (ftnlen)12, (ftnlen)9);
dgemm_((char *)"N", (char *)"T", m, k, &i__1, &c_b14, &c__[(*k + 1) * c_dim1 + 1], ldc,
&v[(*k + 1) * v_dim1 + 1], ldv, &c_b14, &work[work_offset], ldwork,
(ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Upper", trans, (char *)"Non-unit", m, k, &c_b14, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
dtrmm_((char *)"R", (char *)"U", trans, (char *)"N", m, k, &c_b14, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
dgemm_((char *)"No transpose", (char *)"No transpose", m, &i__1, k, &c_b25, &work[work_offset],
ldwork, &v[(*k + 1) * v_dim1 + 1], ldv, &c_b14,
&c__[(*k + 1) * c_dim1 + 1], ldc, (ftnlen)12, (ftnlen)12);
dgemm_((char *)"N", (char *)"N", m, &i__1, k, &c_b25, &work[work_offset], ldwork,
&v[(*k + 1) * v_dim1 + 1], ldv, &c_b14, &c__[(*k + 1) * c_dim1 + 1], ldc,
(ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Upper", (char *)"No transpose", (char *)"Unit", m, k, &c_b14, &v[v_offset], ldv,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)12, (ftnlen)4);
dtrmm_((char *)"R", (char *)"U", (char *)"N", (char *)"U", m, k, &c_b14, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
@ -241,26 +233,22 @@ int dlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
for (j = 1; j <= i__1; ++j) {
dcopy_(n, &c__[*m - *k + j + c_dim1], ldc, &work[j * work_dim1 + 1], &c__1);
}
dtrmm_((char *)"Right", (char *)"Lower", (char *)"Transpose", (char *)"Unit", n, k, &c_b14,
&v[(*m - *k + 1) * v_dim1 + 1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)9, (ftnlen)4);
dtrmm_((char *)"R", (char *)"L", (char *)"T", (char *)"U", n, k, &c_b14, &v[(*m - *k + 1) * v_dim1 + 1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
dgemm_((char *)"Transpose", (char *)"Transpose", n, k, &i__1, &c_b14, &c__[c_offset], ldc,
&v[v_offset], ldv, &c_b14, &work[work_offset], ldwork, (ftnlen)9,
(ftnlen)9);
dgemm_((char *)"T", (char *)"T", n, k, &i__1, &c_b14, &c__[c_offset], ldc, &v[v_offset], ldv,
&c_b14, &work[work_offset], ldwork, (ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Lower", transt, (char *)"Non-unit", n, k, &c_b14, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
dtrmm_((char *)"R", (char *)"L", transt, (char *)"N", n, k, &c_b14, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
dgemm_((char *)"Transpose", (char *)"Transpose", &i__1, n, k, &c_b25, &v[v_offset], ldv,
&work[work_offset], ldwork, &c_b14, &c__[c_offset], ldc, (ftnlen)9,
(ftnlen)9);
dgemm_((char *)"T", (char *)"T", &i__1, n, k, &c_b25, &v[v_offset], ldv, &work[work_offset],
ldwork, &c_b14, &c__[c_offset], ldc, (ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Lower", (char *)"No transpose", (char *)"Unit", n, k, &c_b14,
&v[(*m - *k + 1) * v_dim1 + 1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)12, (ftnlen)4);
dtrmm_((char *)"R", (char *)"L", (char *)"N", (char *)"U", n, k, &c_b14, &v[(*m - *k + 1) * v_dim1 + 1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
@ -274,26 +262,22 @@ int dlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
dcopy_(m, &c__[(*n - *k + j) * c_dim1 + 1], &c__1, &work[j * work_dim1 + 1],
&c__1);
}
dtrmm_((char *)"Right", (char *)"Lower", (char *)"Transpose", (char *)"Unit", m, k, &c_b14,
&v[(*n - *k + 1) * v_dim1 + 1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)9, (ftnlen)4);
dtrmm_((char *)"R", (char *)"L", (char *)"T", (char *)"U", m, k, &c_b14, &v[(*n - *k + 1) * v_dim1 + 1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
dgemm_((char *)"No transpose", (char *)"Transpose", m, k, &i__1, &c_b14, &c__[c_offset], ldc,
&v[v_offset], ldv, &c_b14, &work[work_offset], ldwork, (ftnlen)12,
(ftnlen)9);
dgemm_((char *)"N", (char *)"T", m, k, &i__1, &c_b14, &c__[c_offset], ldc, &v[v_offset], ldv,
&c_b14, &work[work_offset], ldwork, (ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Lower", trans, (char *)"Non-unit", m, k, &c_b14, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
dtrmm_((char *)"R", (char *)"L", trans, (char *)"N", m, k, &c_b14, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
dgemm_((char *)"No transpose", (char *)"No transpose", m, &i__1, k, &c_b25, &work[work_offset],
ldwork, &v[v_offset], ldv, &c_b14, &c__[c_offset], ldc, (ftnlen)12,
(ftnlen)12);
dgemm_((char *)"N", (char *)"N", m, &i__1, k, &c_b25, &work[work_offset], ldwork, &v[v_offset],
ldv, &c_b14, &c__[c_offset], ldc, (ftnlen)1, (ftnlen)1);
}
dtrmm_((char *)"Right", (char *)"Lower", (char *)"No transpose", (char *)"Unit", m, k, &c_b14,
&v[(*n - *k + 1) * v_dim1 + 1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)12, (ftnlen)4);
dtrmm_((char *)"R", (char *)"L", (char *)"N", (char *)"U", m, k, &c_b14, &v[(*n - *k + 1) * v_dim1 + 1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;

43
lib/linalg/dlasd3.cpp
View File

@ -4,8 +4,8 @@ extern "C" {
#include "lmp_f2c.h"
static integer c__1 = 1;
static integer c__0 = 0;
static doublereal c_b13 = 1.;
static doublereal c_b26 = 0.;
static doublereal c_b12 = 1.;
static doublereal c_b25 = 0.;
int dlasd3_(integer *nl, integer *nr, integer *sqre, integer *k, doublereal *d__, doublereal *q,
integer *ldq, doublereal *dsigma, doublereal *u, integer *ldu, doublereal *u2,
integer *ldu2, doublereal *vt, integer *ldvt, doublereal *vt2, integer *ldvt2,
@ -26,7 +26,6 @@ int dlasd3_(integer *nl, integer *nr, integer *sqre, integer *k, doublereal *d__
integer ctemp;
extern int dcopy_(integer *, doublereal *, integer *, doublereal *, integer *);
integer ktemp;
extern doublereal dlamc3_(doublereal *, doublereal *);
extern int dlasd4_(integer *, integer *, doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *, doublereal *, integer *),
dlascl_(char *, integer *, integer *, doublereal *, doublereal *, integer *, integer *,
@ -97,13 +96,9 @@ int dlasd3_(integer *nl, integer *nr, integer *sqre, integer *k, doublereal *d__
}
return 0;
}
i__1 = *k;
for (i__ = 1; i__ <= i__1; ++i__) {
dsigma[i__] = dlamc3_(&dsigma[i__], &dsigma[i__]) - dsigma[i__];
}
dcopy_(k, &z__[1], &c__1, &q[q_offset], &c__1);
rho = dnrm2_(k, &z__[1], &c__1);
dlascl_((char *)"G", &c__0, &c__0, &rho, &c_b13, k, &c__1, &z__[1], k, info, (ftnlen)1);
dlascl_((char *)"G", &c__0, &c__0, &rho, &c_b12, k, &c__1, &z__[1], k, info, (ftnlen)1);
rho *= rho;
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
@ -147,30 +142,30 @@ int dlasd3_(integer *nl, integer *nr, integer *sqre, integer *k, doublereal *d__
}
}
if (*k == 2) {
dgemm_((char *)"N", (char *)"N", &n, k, k, &c_b13, &u2[u2_offset], ldu2, &q[q_offset], ldq, &c_b26,
dgemm_((char *)"N", (char *)"N", &n, k, k, &c_b12, &u2[u2_offset], ldu2, &q[q_offset], ldq, &c_b25,
&u[u_offset], ldu, (ftnlen)1, (ftnlen)1);
goto L100;
}
if (ctot[1] > 0) {
dgemm_((char *)"N", (char *)"N", nl, k, &ctot[1], &c_b13, &u2[(u2_dim1 << 1) + 1], ldu2, &q[q_dim1 + 2],
ldq, &c_b26, &u[u_dim1 + 1], ldu, (ftnlen)1, (ftnlen)1);
dgemm_((char *)"N", (char *)"N", nl, k, &ctot[1], &c_b12, &u2[(u2_dim1 << 1) + 1], ldu2, &q[q_dim1 + 2],
ldq, &c_b25, &u[u_dim1 + 1], ldu, (ftnlen)1, (ftnlen)1);
if (ctot[3] > 0) {
ktemp = ctot[1] + 2 + ctot[2];
dgemm_((char *)"N", (char *)"N", nl, k, &ctot[3], &c_b13, &u2[ktemp * u2_dim1 + 1], ldu2,
&q[ktemp + q_dim1], ldq, &c_b13, &u[u_dim1 + 1], ldu, (ftnlen)1, (ftnlen)1);
dgemm_((char *)"N", (char *)"N", nl, k, &ctot[3], &c_b12, &u2[ktemp * u2_dim1 + 1], ldu2,
&q[ktemp + q_dim1], ldq, &c_b12, &u[u_dim1 + 1], ldu, (ftnlen)1, (ftnlen)1);
}
} else if (ctot[3] > 0) {
ktemp = ctot[1] + 2 + ctot[2];
dgemm_((char *)"N", (char *)"N", nl, k, &ctot[3], &c_b13, &u2[ktemp * u2_dim1 + 1], ldu2,
&q[ktemp + q_dim1], ldq, &c_b26, &u[u_dim1 + 1], ldu, (ftnlen)1, (ftnlen)1);
dgemm_((char *)"N", (char *)"N", nl, k, &ctot[3], &c_b12, &u2[ktemp * u2_dim1 + 1], ldu2,
&q[ktemp + q_dim1], ldq, &c_b25, &u[u_dim1 + 1], ldu, (ftnlen)1, (ftnlen)1);
} else {
dlacpy_((char *)"F", nl, k, &u2[u2_offset], ldu2, &u[u_offset], ldu, (ftnlen)1);
}
dcopy_(k, &q[q_dim1 + 1], ldq, &u[nlp1 + u_dim1], ldu);
ktemp = ctot[1] + 2;
ctemp = ctot[2] + ctot[3];
dgemm_((char *)"N", (char *)"N", nr, k, &ctemp, &c_b13, &u2[nlp2 + ktemp * u2_dim1], ldu2, &q[ktemp + q_dim1],
ldq, &c_b26, &u[nlp2 + u_dim1], ldu, (ftnlen)1, (ftnlen)1);
dgemm_((char *)"N", (char *)"N", nr, k, &ctemp, &c_b12, &u2[nlp2 + ktemp * u2_dim1], ldu2, &q[ktemp + q_dim1],
ldq, &c_b25, &u[nlp2 + u_dim1], ldu, (ftnlen)1, (ftnlen)1);
L100:
i__1 = *k;
for (i__ = 1; i__ <= i__1; ++i__) {
@ -183,17 +178,17 @@ L100:
}
}
if (*k == 2) {
dgemm_((char *)"N", (char *)"N", k, &m, k, &c_b13, &q[q_offset], ldq, &vt2[vt2_offset], ldvt2, &c_b26,
dgemm_((char *)"N", (char *)"N", k, &m, k, &c_b12, &q[q_offset], ldq, &vt2[vt2_offset], ldvt2, &c_b25,
&vt[vt_offset], ldvt, (ftnlen)1, (ftnlen)1);
return 0;
}
ktemp = ctot[1] + 1;
dgemm_((char *)"N", (char *)"N", k, &nlp1, &ktemp, &c_b13, &q[q_dim1 + 1], ldq, &vt2[vt2_dim1 + 1], ldvt2,
&c_b26, &vt[vt_dim1 + 1], ldvt, (ftnlen)1, (ftnlen)1);
dgemm_((char *)"N", (char *)"N", k, &nlp1, &ktemp, &c_b12, &q[q_dim1 + 1], ldq, &vt2[vt2_dim1 + 1], ldvt2,
&c_b25, &vt[vt_dim1 + 1], ldvt, (ftnlen)1, (ftnlen)1);
ktemp = ctot[1] + 2 + ctot[2];
if (ktemp <= *ldvt2) {
dgemm_((char *)"N", (char *)"N", k, &nlp1, &ctot[3], &c_b13, &q[ktemp * q_dim1 + 1], ldq,
&vt2[ktemp + vt2_dim1], ldvt2, &c_b13, &vt[vt_dim1 + 1], ldvt, (ftnlen)1, (ftnlen)1);
dgemm_((char *)"N", (char *)"N", k, &nlp1, &ctot[3], &c_b12, &q[ktemp * q_dim1 + 1], ldq,
&vt2[ktemp + vt2_dim1], ldvt2, &c_b12, &vt[vt_dim1 + 1], ldvt, (ftnlen)1, (ftnlen)1);
}
ktemp = ctot[1] + 1;
nrp1 = *nr + *sqre;
@ -208,8 +203,8 @@ L100:
}
}
ctemp = ctot[2] + 1 + ctot[3];
dgemm_((char *)"N", (char *)"N", k, &nrp1, &ctemp, &c_b13, &q[ktemp * q_dim1 + 1], ldq,
&vt2[ktemp + nlp2 * vt2_dim1], ldvt2, &c_b26, &vt[nlp2 * vt_dim1 + 1], ldvt, (ftnlen)1,
dgemm_((char *)"N", (char *)"N", k, &nrp1, &ctemp, &c_b12, &q[ktemp * q_dim1 + 1], ldq,
&vt2[ktemp + nlp2 * vt2_dim1], ldvt2, &c_b25, &vt[nlp2 * vt_dim1 + 1], ldvt, (ftnlen)1,
(ftnlen)1);
return 0;
}

74
lib/linalg/dlasyf.cpp
View File

@ -8,17 +8,14 @@ static doublereal c_b9 = 1.;
int dlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublereal *a, integer *lda,
integer *ipiv, doublereal *w, integer *ldw, integer *info, ftnlen uplo_len)
{
integer a_dim1, a_offset, w_dim1, w_offset, i__1, i__2, i__3, i__4, i__5;
integer a_dim1, a_offset, w_dim1, w_offset, i__1, i__2;
doublereal d__1, d__2, d__3;
double sqrt(doublereal);
integer j, k;
doublereal t, r1, d11, d21, d22;
integer jb, jj, kk, jp, kp, kw, kkw, imax, jmax;
integer jj, kk, jp, kp, kw, kkw, imax, jmax;
doublereal alpha;
extern int dscal_(integer *, doublereal *, doublereal *, integer *),
dgemm_(char *, char *, integer *, integer *, integer *, doublereal *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *, integer *, ftnlen,
ftnlen);
extern int dscal_(integer *, doublereal *, doublereal *, integer *);
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern int dgemv_(char *, integer *, integer *, doublereal *, doublereal *, integer *,
doublereal *, integer *, doublereal *, doublereal *, integer *, ftnlen),
@ -28,6 +25,9 @@ int dlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublereal *a, int
doublereal absakk;
extern integer idamax_(integer *, doublereal *, integer *);
doublereal colmax, rowmax;
extern int dgemmtr_(char *, char *, char *, integer *, integer *, doublereal *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *, integer *,
ftnlen, ftnlen, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -47,8 +47,8 @@ int dlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublereal *a, int
dcopy_(&k, &a[k * a_dim1 + 1], &c__1, &w[kw * w_dim1 + 1], &c__1);
if (k < *n) {
i__1 = *n - k;
dgemv_((char *)"No transpose", &k, &i__1, &c_b8, &a[(k + 1) * a_dim1 + 1], lda,
&w[k + (kw + 1) * w_dim1], ldw, &c_b9, &w[kw * w_dim1 + 1], &c__1, (ftnlen)12);
dgemv_((char *)"N", &k, &i__1, &c_b8, &a[(k + 1) * a_dim1 + 1], lda, &w[k + (kw + 1) * w_dim1],
ldw, &c_b9, &w[kw * w_dim1 + 1], &c__1, (ftnlen)1);
}
kstep = 1;
absakk = (d__1 = w[k + kw * w_dim1], abs(d__1));
@ -74,9 +74,9 @@ int dlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublereal *a, int
&c__1);
if (k < *n) {
i__1 = *n - k;
dgemv_((char *)"No transpose", &k, &i__1, &c_b8, &a[(k + 1) * a_dim1 + 1], lda,
dgemv_((char *)"N", &k, &i__1, &c_b8, &a[(k + 1) * a_dim1 + 1], lda,
&w[imax + (kw + 1) * w_dim1], ldw, &c_b9, &w[(kw - 1) * w_dim1 + 1],
&c__1, (ftnlen)12);
&c__1, (ftnlen)1);
}
i__1 = k - imax;
jmax = imax + idamax_(&i__1, &w[imax + 1 + (kw - 1) * w_dim1], &c__1);
@ -148,24 +148,10 @@ int dlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublereal *a, int
k -= kstep;
goto L10;
L30:
i__1 = -(*nb);
for (j = (k - 1) / *nb * *nb + 1; i__1 < 0 ? j >= 1 : j <= 1; j += i__1) {
i__2 = *nb, i__3 = k - j + 1;
jb = min(i__2, i__3);
i__2 = j + jb - 1;
for (jj = j; jj <= i__2; ++jj) {
i__3 = jj - j + 1;
i__4 = *n - k;
dgemv_((char *)"No transpose", &i__3, &i__4, &c_b8, &a[j + (k + 1) * a_dim1], lda,
&w[jj + (kw + 1) * w_dim1], ldw, &c_b9, &a[j + jj * a_dim1], &c__1,
(ftnlen)12);
}
i__2 = j - 1;
i__3 = *n - k;
dgemm_((char *)"No transpose", (char *)"Transpose", &i__2, &jb, &i__3, &c_b8, &a[(k + 1) * a_dim1 + 1],
lda, &w[j + (kw + 1) * w_dim1], ldw, &c_b9, &a[j * a_dim1 + 1], lda, (ftnlen)12,
(ftnlen)9);
}
i__1 = *n - k;
dgemmtr_((char *)"U", (char *)"N", (char *)"T", &k, &i__1, &c_b8, &a[(k + 1) * a_dim1 + 1], lda,
&w[(kw + 1) * w_dim1 + 1], ldw, &c_b9, &a[a_dim1 + 1], lda, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
j = k + 1;
L60:
jj = j;
@ -193,8 +179,8 @@ int dlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublereal *a, int
dcopy_(&i__1, &a[k + k * a_dim1], &c__1, &w[k + k * w_dim1], &c__1);
i__1 = *n - k + 1;
i__2 = k - 1;
dgemv_((char *)"No transpose", &i__1, &i__2, &c_b8, &a[k + a_dim1], lda, &w[k + w_dim1], ldw, &c_b9,
&w[k + k * w_dim1], &c__1, (ftnlen)12);
dgemv_((char *)"N", &i__1, &i__2, &c_b8, &a[k + a_dim1], lda, &w[k + w_dim1], ldw, &c_b9,
&w[k + k * w_dim1], &c__1, (ftnlen)1);
kstep = 1;
absakk = (d__1 = w[k + k * w_dim1], abs(d__1));
if (k < *n) {
@ -219,8 +205,8 @@ int dlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublereal *a, int
dcopy_(&i__1, &a[imax + imax * a_dim1], &c__1, &w[imax + (k + 1) * w_dim1], &c__1);
i__1 = *n - k + 1;
i__2 = k - 1;
dgemv_((char *)"No transpose", &i__1, &i__2, &c_b8, &a[k + a_dim1], lda, &w[imax + w_dim1],
ldw, &c_b9, &w[k + (k + 1) * w_dim1], &c__1, (ftnlen)12);
dgemv_((char *)"N", &i__1, &i__2, &c_b8, &a[k + a_dim1], lda, &w[imax + w_dim1], ldw, &c_b9,
&w[k + (k + 1) * w_dim1], &c__1, (ftnlen)1);
i__1 = imax - k;
jmax = k - 1 + idamax_(&i__1, &w[k + (k + 1) * w_dim1], &c__1);
rowmax = (d__1 = w[jmax + (k + 1) * w_dim1], abs(d__1));
@ -293,26 +279,10 @@ int dlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublereal *a, int
k += kstep;
goto L70;
L90:
i__1 = *n;
i__2 = *nb;
for (j = k; i__2 < 0 ? j >= i__1 : j <= i__1; j += i__2) {
i__3 = *nb, i__4 = *n - j + 1;
jb = min(i__3, i__4);
i__3 = j + jb - 1;
for (jj = j; jj <= i__3; ++jj) {
i__4 = j + jb - jj;
i__5 = k - 1;
dgemv_((char *)"No transpose", &i__4, &i__5, &c_b8, &a[jj + a_dim1], lda, &w[jj + w_dim1],
ldw, &c_b9, &a[jj + jj * a_dim1], &c__1, (ftnlen)12);
}
if (j + jb <= *n) {
i__3 = *n - j - jb + 1;
i__4 = k - 1;
dgemm_((char *)"No transpose", (char *)"Transpose", &i__3, &jb, &i__4, &c_b8, &a[j + jb + a_dim1],
lda, &w[j + w_dim1], ldw, &c_b9, &a[j + jb + j * a_dim1], lda, (ftnlen)12,
(ftnlen)9);
}
}
i__1 = *n - k + 1;
i__2 = k - 1;
dgemmtr_((char *)"L", (char *)"N", (char *)"T", &i__1, &i__2, &c_b8, &a[k + a_dim1], lda, &w[k + w_dim1], ldw,
&c_b9, &a[k + k * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1);
j = k - 1;
L120:
jj = j;

58
lib/linalg/dlatrd.cpp
View File

@ -38,13 +38,13 @@ int dlatrd_(char *uplo, integer *n, integer *nb, doublereal *a, integer *lda, do
iw = i__ - *n + *nb;
if (i__ < *n) {
i__2 = *n - i__;
dgemv_((char *)"No transpose", &i__, &i__2, &c_b5, &a[(i__ + 1) * a_dim1 + 1], lda,
dgemv_((char *)"N", &i__, &i__2, &c_b5, &a[(i__ + 1) * a_dim1 + 1], lda,
&w[i__ + (iw + 1) * w_dim1], ldw, &c_b6, &a[i__ * a_dim1 + 1], &c__1,
(ftnlen)12);
(ftnlen)1);
i__2 = *n - i__;
dgemv_((char *)"No transpose", &i__, &i__2, &c_b5, &w[(iw + 1) * w_dim1 + 1], ldw,
dgemv_((char *)"N", &i__, &i__2, &c_b5, &w[(iw + 1) * w_dim1 + 1], ldw,
&a[i__ + (i__ + 1) * a_dim1], lda, &c_b6, &a[i__ * a_dim1 + 1], &c__1,
(ftnlen)12);
(ftnlen)1);
}
if (i__ > 1) {
i__2 = i__ - 1;
@ -53,29 +53,29 @@ int dlatrd_(char *uplo, integer *n, integer *nb, doublereal *a, integer *lda, do
e[i__ - 1] = a[i__ - 1 + i__ * a_dim1];
a[i__ - 1 + i__ * a_dim1] = 1.;
i__2 = i__ - 1;
dsymv_((char *)"Upper", &i__2, &c_b6, &a[a_offset], lda, &a[i__ * a_dim1 + 1], &c__1,
&c_b16, &w[iw * w_dim1 + 1], &c__1, (ftnlen)5);
dsymv_((char *)"U", &i__2, &c_b6, &a[a_offset], lda, &a[i__ * a_dim1 + 1], &c__1, &c_b16,
&w[iw * w_dim1 + 1], &c__1, (ftnlen)1);
if (i__ < *n) {
i__2 = i__ - 1;
i__3 = *n - i__;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b6, &w[(iw + 1) * w_dim1 + 1], ldw,
dgemv_((char *)"T", &i__2, &i__3, &c_b6, &w[(iw + 1) * w_dim1 + 1], ldw,
&a[i__ * a_dim1 + 1], &c__1, &c_b16, &w[i__ + 1 + iw * w_dim1], &c__1,
(ftnlen)9);
(ftnlen)1);
i__2 = i__ - 1;
i__3 = *n - i__;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b5, &a[(i__ + 1) * a_dim1 + 1], lda,
dgemv_((char *)"N", &i__2, &i__3, &c_b5, &a[(i__ + 1) * a_dim1 + 1], lda,
&w[i__ + 1 + iw * w_dim1], &c__1, &c_b6, &w[iw * w_dim1 + 1], &c__1,
(ftnlen)12);
(ftnlen)1);
i__2 = i__ - 1;
i__3 = *n - i__;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b6, &a[(i__ + 1) * a_dim1 + 1], lda,
dgemv_((char *)"T", &i__2, &i__3, &c_b6, &a[(i__ + 1) * a_dim1 + 1], lda,
&a[i__ * a_dim1 + 1], &c__1, &c_b16, &w[i__ + 1 + iw * w_dim1], &c__1,
(ftnlen)9);
(ftnlen)1);
i__2 = i__ - 1;
i__3 = *n - i__;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b5, &w[(iw + 1) * w_dim1 + 1], ldw,
dgemv_((char *)"N", &i__2, &i__3, &c_b5, &w[(iw + 1) * w_dim1 + 1], ldw,
&w[i__ + 1 + iw * w_dim1], &c__1, &c_b6, &w[iw * w_dim1 + 1], &c__1,
(ftnlen)12);
(ftnlen)1);
}
i__2 = i__ - 1;
dscal_(&i__2, &tau[i__ - 1], &w[iw * w_dim1 + 1], &c__1);
@ -91,12 +91,12 @@ int dlatrd_(char *uplo, integer *n, integer *nb, doublereal *a, integer *lda, do
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = *n - i__ + 1;
i__3 = i__ - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b5, &a[i__ + a_dim1], lda, &w[i__ + w_dim1],
ldw, &c_b6, &a[i__ + i__ * a_dim1], &c__1, (ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b5, &a[i__ + a_dim1], lda, &w[i__ + w_dim1], ldw, &c_b6,
&a[i__ + i__ * a_dim1], &c__1, (ftnlen)1);
i__2 = *n - i__ + 1;
i__3 = i__ - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b5, &w[i__ + w_dim1], ldw, &a[i__ + a_dim1],
lda, &c_b6, &a[i__ + i__ * a_dim1], &c__1, (ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b5, &w[i__ + w_dim1], ldw, &a[i__ + a_dim1], lda, &c_b6,
&a[i__ + i__ * a_dim1], &c__1, (ftnlen)1);
if (i__ < *n) {
i__2 = *n - i__;
i__3 = i__ + 2;
@ -105,29 +105,27 @@ int dlatrd_(char *uplo, integer *n, integer *nb, doublereal *a, integer *lda, do
e[i__] = a[i__ + 1 + i__ * a_dim1];
a[i__ + 1 + i__ * a_dim1] = 1.;
i__2 = *n - i__;
dsymv_((char *)"Lower", &i__2, &c_b6, &a[i__ + 1 + (i__ + 1) * a_dim1], lda,
dsymv_((char *)"L", &i__2, &c_b6, &a[i__ + 1 + (i__ + 1) * a_dim1], lda,
&a[i__ + 1 + i__ * a_dim1], &c__1, &c_b16, &w[i__ + 1 + i__ * w_dim1], &c__1,
(ftnlen)5);
(ftnlen)1);
i__2 = *n - i__;
i__3 = i__ - 1;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b6, &w[i__ + 1 + w_dim1], ldw,
dgemv_((char *)"T", &i__2, &i__3, &c_b6, &w[i__ + 1 + w_dim1], ldw,
&a[i__ + 1 + i__ * a_dim1], &c__1, &c_b16, &w[i__ * w_dim1 + 1], &c__1,
(ftnlen)9);
(ftnlen)1);
i__2 = *n - i__;
i__3 = i__ - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b5, &a[i__ + 1 + a_dim1], lda,
&w[i__ * w_dim1 + 1], &c__1, &c_b6, &w[i__ + 1 + i__ * w_dim1], &c__1,
(ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b5, &a[i__ + 1 + a_dim1], lda, &w[i__ * w_dim1 + 1],
&c__1, &c_b6, &w[i__ + 1 + i__ * w_dim1], &c__1, (ftnlen)1);
i__2 = *n - i__;
i__3 = i__ - 1;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b6, &a[i__ + 1 + a_dim1], lda,
dgemv_((char *)"T", &i__2, &i__3, &c_b6, &a[i__ + 1 + a_dim1], lda,
&a[i__ + 1 + i__ * a_dim1], &c__1, &c_b16, &w[i__ * w_dim1 + 1], &c__1,
(ftnlen)9);
(ftnlen)1);
i__2 = *n - i__;
i__3 = i__ - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b5, &w[i__ + 1 + w_dim1], ldw,
&w[i__ * w_dim1 + 1], &c__1, &c_b6, &w[i__ + 1 + i__ * w_dim1], &c__1,
(ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b5, &w[i__ + 1 + w_dim1], ldw, &w[i__ * w_dim1 + 1],
&c__1, &c_b6, &w[i__ + 1 + i__ * w_dim1], &c__1, (ftnlen)1);
i__2 = *n - i__;
dscal_(&i__2, &tau[i__], &w[i__ + 1 + i__ * w_dim1], &c__1);
i__2 = *n - i__;

8
lib/linalg/dlauu2.cpp
View File

@ -46,9 +46,9 @@ int dlauu2_(char *uplo, integer *n, doublereal *a, integer *lda, integer *info,
ddot_(&i__2, &a[i__ + i__ * a_dim1], lda, &a[i__ + i__ * a_dim1], lda);
i__2 = i__ - 1;
i__3 = *n - i__;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b7, &a[(i__ + 1) * a_dim1 + 1], lda,
dgemv_((char *)"N", &i__2, &i__3, &c_b7, &a[(i__ + 1) * a_dim1 + 1], lda,
&a[i__ + (i__ + 1) * a_dim1], lda, &aii, &a[i__ * a_dim1 + 1], &c__1,
(ftnlen)12);
(ftnlen)1);
} else {
dscal_(&i__, &aii, &a[i__ * a_dim1 + 1], &c__1);
}
@ -63,8 +63,8 @@ int dlauu2_(char *uplo, integer *n, doublereal *a, integer *lda, integer *info,
ddot_(&i__2, &a[i__ + i__ * a_dim1], &c__1, &a[i__ + i__ * a_dim1], &c__1);
i__2 = *n - i__;
i__3 = i__ - 1;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b7, &a[i__ + 1 + a_dim1], lda,
&a[i__ + 1 + i__ * a_dim1], &c__1, &aii, &a[i__ + a_dim1], lda, (ftnlen)9);
dgemv_((char *)"T", &i__2, &i__3, &c_b7, &a[i__ + 1 + a_dim1], lda,
&a[i__ + 1 + i__ * a_dim1], &c__1, &aii, &a[i__ + a_dim1], lda, (ftnlen)1);
} else {
dscal_(&i__, &aii, &a[i__ + a_dim1], lda);
}

35
lib/linalg/dlauum.cpp
View File

@ -54,20 +54,18 @@ int dlauum_(char *uplo, integer *n, doublereal *a, integer *lda, integer *info,
i__3 = nb, i__4 = *n - i__ + 1;
ib = min(i__3, i__4);
i__3 = i__ - 1;
dtrmm_((char *)"Right", (char *)"Upper", (char *)"Transpose", (char *)"Non-unit", &i__3, &ib, &c_b15,
&a[i__ + i__ * a_dim1], lda, &a[i__ * a_dim1 + 1], lda, (ftnlen)5, (ftnlen)5,
(ftnlen)9, (ftnlen)8);
dlauu2_((char *)"Upper", &ib, &a[i__ + i__ * a_dim1], lda, info, (ftnlen)5);
dtrmm_((char *)"R", (char *)"U", (char *)"T", (char *)"N", &i__3, &ib, &c_b15, &a[i__ + i__ * a_dim1], lda,
&a[i__ * a_dim1 + 1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
dlauu2_((char *)"U", &ib, &a[i__ + i__ * a_dim1], lda, info, (ftnlen)1);
if (i__ + ib <= *n) {
i__3 = i__ - 1;
i__4 = *n - i__ - ib + 1;
dgemm_((char *)"No transpose", (char *)"Transpose", &i__3, &ib, &i__4, &c_b15,
&a[(i__ + ib) * a_dim1 + 1], lda, &a[i__ + (i__ + ib) * a_dim1], lda,
&c_b15, &a[i__ * a_dim1 + 1], lda, (ftnlen)12, (ftnlen)9);
dgemm_((char *)"N", (char *)"T", &i__3, &ib, &i__4, &c_b15, &a[(i__ + ib) * a_dim1 + 1], lda,
&a[i__ + (i__ + ib) * a_dim1], lda, &c_b15, &a[i__ * a_dim1 + 1], lda,
(ftnlen)1, (ftnlen)1);
i__3 = *n - i__ - ib + 1;
dsyrk_((char *)"Upper", (char *)"No transpose", &ib, &i__3, &c_b15,
&a[i__ + (i__ + ib) * a_dim1], lda, &c_b15, &a[i__ + i__ * a_dim1], lda,
(ftnlen)5, (ftnlen)12);
dsyrk_((char *)"U", (char *)"N", &ib, &i__3, &c_b15, &a[i__ + (i__ + ib) * a_dim1], lda, &c_b15,
&a[i__ + i__ * a_dim1], lda, (ftnlen)1, (ftnlen)1);
}
}
} else {
@ -77,19 +75,18 @@ int dlauum_(char *uplo, integer *n, doublereal *a, integer *lda, integer *info,
i__3 = nb, i__4 = *n - i__ + 1;
ib = min(i__3, i__4);
i__3 = i__ - 1;
dtrmm_((char *)"Left", (char *)"Lower", (char *)"Transpose", (char *)"Non-unit", &ib, &i__3, &c_b15,
&a[i__ + i__ * a_dim1], lda, &a[i__ + a_dim1], lda, (ftnlen)4, (ftnlen)5,
(ftnlen)9, (ftnlen)8);
dlauu2_((char *)"Lower", &ib, &a[i__ + i__ * a_dim1], lda, info, (ftnlen)5);
dtrmm_((char *)"L", (char *)"L", (char *)"T", (char *)"N", &ib, &i__3, &c_b15, &a[i__ + i__ * a_dim1], lda,
&a[i__ + a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
dlauu2_((char *)"L", &ib, &a[i__ + i__ * a_dim1], lda, info, (ftnlen)1);
if (i__ + ib <= *n) {
i__3 = i__ - 1;
i__4 = *n - i__ - ib + 1;
dgemm_((char *)"Transpose", (char *)"No transpose", &ib, &i__3, &i__4, &c_b15,
&a[i__ + ib + i__ * a_dim1], lda, &a[i__ + ib + a_dim1], lda, &c_b15,
&a[i__ + a_dim1], lda, (ftnlen)9, (ftnlen)12);
dgemm_((char *)"T", (char *)"N", &ib, &i__3, &i__4, &c_b15, &a[i__ + ib + i__ * a_dim1], lda,
&a[i__ + ib + a_dim1], lda, &c_b15, &a[i__ + a_dim1], lda, (ftnlen)1,
(ftnlen)1);
i__3 = *n - i__ - ib + 1;
dsyrk_((char *)"Lower", (char *)"Transpose", &ib, &i__3, &c_b15, &a[i__ + ib + i__ * a_dim1],
lda, &c_b15, &a[i__ + i__ * a_dim1], lda, (ftnlen)5, (ftnlen)9);
dsyrk_((char *)"L", (char *)"T", &ib, &i__3, &c_b15, &a[i__ + ib + i__ * a_dim1], lda, &c_b15,
&a[i__ + i__ * a_dim1], lda, (ftnlen)1, (ftnlen)1);
}
}
}

11
lib/linalg/dorg2l.cpp
View File

@ -10,9 +10,9 @@ int dorg2l_(integer *m, integer *n, integer *k, doublereal *a, integer *lda, dou
doublereal d__1;
integer i__, j, l, ii;
extern int dscal_(integer *, doublereal *, doublereal *, integer *),
dlarf_(char *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *,
integer *, doublereal *, ftnlen),
xerbla_(char *, integer *, ftnlen);
xerbla_(char *, integer *, ftnlen),
dlarf1l_(char *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *,
integer *, doublereal *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -47,11 +47,10 @@ int dorg2l_(integer *m, integer *n, integer *k, doublereal *a, integer *lda, dou
i__1 = *k;
for (i__ = 1; i__ <= i__1; ++i__) {
ii = *n - *k + i__;
a[*m - *n + ii + ii * a_dim1] = 1.;
i__2 = *m - *n + ii;
i__3 = ii - 1;
dlarf_((char *)"Left", &i__2, &i__3, &a[ii * a_dim1 + 1], &c__1, &tau[i__], &a[a_offset], lda,
&work[1], (ftnlen)4);
dlarf1l_((char *)"L", &i__2, &i__3, &a[ii * a_dim1 + 1], &c__1, &tau[i__], &a[a_offset], lda,
&work[1], (ftnlen)1);
i__2 = *m - *n + ii - 1;
d__1 = -tau[i__];
dscal_(&i__2, &d__1, &a[ii * a_dim1 + 1], &c__1);

11
lib/linalg/dorg2r.cpp
View File

@ -10,9 +10,9 @@ int dorg2r_(integer *m, integer *n, integer *k, doublereal *a, integer *lda, dou
doublereal d__1;
integer i__, j, l;
extern int dscal_(integer *, doublereal *, doublereal *, integer *),
dlarf_(char *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *,
integer *, doublereal *, ftnlen),
xerbla_(char *, integer *, ftnlen);
xerbla_(char *, integer *, ftnlen),
dlarf1f_(char *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *,
integer *, doublereal *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -46,11 +46,10 @@ int dorg2r_(integer *m, integer *n, integer *k, doublereal *a, integer *lda, dou
}
for (i__ = *k; i__ >= 1; --i__) {
if (i__ < *n) {
a[i__ + i__ * a_dim1] = 1.;
i__1 = *m - i__ + 1;
i__2 = *n - i__;
dlarf_((char *)"Left", &i__1, &i__2, &a[i__ + i__ * a_dim1], &c__1, &tau[i__],
&a[i__ + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)4);
dlarf1f_((char *)"L", &i__1, &i__2, &a[i__ + i__ * a_dim1], &c__1, &tau[i__],
&a[i__ + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)1);
}
if (i__ < *m) {
i__1 = *m - i__;

11
lib/linalg/dorgl2.cpp
View File

@ -9,9 +9,9 @@ int dorgl2_(integer *m, integer *n, integer *k, doublereal *a, integer *lda, dou
doublereal d__1;
integer i__, j, l;
extern int dscal_(integer *, doublereal *, doublereal *, integer *),
dlarf_(char *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *,
integer *, doublereal *, ftnlen),
xerbla_(char *, integer *, ftnlen);
xerbla_(char *, integer *, ftnlen),
dlarf1f_(char *, integer *, integer *, doublereal *, integer *, doublereal *, doublereal *,
integer *, doublereal *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -50,11 +50,10 @@ int dorgl2_(integer *m, integer *n, integer *k, doublereal *a, integer *lda, dou
for (i__ = *k; i__ >= 1; --i__) {
if (i__ < *n) {
if (i__ < *m) {
a[i__ + i__ * a_dim1] = 1.;
i__1 = *m - i__;
i__2 = *n - i__ + 1;
dlarf_((char *)"Right", &i__1, &i__2, &a[i__ + i__ * a_dim1], lda, &tau[i__],
&a[i__ + 1 + i__ * a_dim1], lda, &work[1], (ftnlen)5);
dlarf1f_((char *)"R", &i__1, &i__2, &a[i__ + i__ * a_dim1], lda, &tau[i__],
&a[i__ + 1 + i__ * a_dim1], lda, &work[1], (ftnlen)1);
}
i__1 = *n - i__;
d__1 = -tau[i__];

10
lib/linalg/dorglq.cpp
View File

@ -100,13 +100,13 @@ int dorglq_(integer *m, integer *n, integer *k, doublereal *a, integer *lda, dou
ib = min(i__2, i__3);
if (i__ + ib <= *m) {
i__2 = *n - i__ + 1;
dlarft_((char *)"Forward", (char *)"Rowwise", &i__2, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__],
&work[1], &ldwork, (ftnlen)7, (ftnlen)7);
dlarft_((char *)"F", (char *)"R", &i__2, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__], &work[1],
&ldwork, (ftnlen)1, (ftnlen)1);
i__2 = *m - i__ - ib + 1;
i__3 = *n - i__ + 1;
dlarfb_((char *)"Right", (char *)"Transpose", (char *)"Forward", (char *)"Rowwise", &i__2, &i__3, &ib,
&a[i__ + i__ * a_dim1], lda, &work[1], &ldwork, &a[i__ + ib + i__ * a_dim1],
lda, &work[ib + 1], &ldwork, (ftnlen)5, (ftnlen)9, (ftnlen)7, (ftnlen)7);
dlarfb_((char *)"R", (char *)"T", (char *)"F", (char *)"R", &i__2, &i__3, &ib, &a[i__ + i__ * a_dim1], lda,
&work[1], &ldwork, &a[i__ + ib + i__ * a_dim1], lda, &work[ib + 1], &ldwork,
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
i__2 = *n - i__ + 1;
dorgl2_(&ib, &i__2, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__], &work[1], &iinfo);

10
lib/linalg/dorgql.cpp
View File

@ -103,13 +103,13 @@ int dorgql_(integer *m, integer *n, integer *k, doublereal *a, integer *lda, dou
ib = min(i__3, i__4);
if (*n - *k + i__ > 1) {
i__3 = *m - *k + i__ + ib - 1;
dlarft_((char *)"Backward", (char *)"Columnwise", &i__3, &ib, &a[(*n - *k + i__) * a_dim1 + 1], lda,
&tau[i__], &work[1], &ldwork, (ftnlen)8, (ftnlen)10);
dlarft_((char *)"B", (char *)"C", &i__3, &ib, &a[(*n - *k + i__) * a_dim1 + 1], lda, &tau[i__],
&work[1], &ldwork, (ftnlen)1, (ftnlen)1);
i__3 = *m - *k + i__ + ib - 1;
i__4 = *n - *k + i__ - 1;
dlarfb_((char *)"Left", (char *)"No transpose", (char *)"Backward", (char *)"Columnwise", &i__3, &i__4, &ib,
&a[(*n - *k + i__) * a_dim1 + 1], lda, &work[1], &ldwork, &a[a_offset], lda,
&work[ib + 1], &ldwork, (ftnlen)4, (ftnlen)12, (ftnlen)8, (ftnlen)10);
dlarfb_((char *)"L", (char *)"N", (char *)"B", (char *)"C", &i__3, &i__4, &ib, &a[(*n - *k + i__) * a_dim1 + 1],
lda, &work[1], &ldwork, &a[a_offset], lda, &work[ib + 1], &ldwork,
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
i__3 = *m - *k + i__ + ib - 1;
dorg2l_(&i__3, &ib, &ib, &a[(*n - *k + i__) * a_dim1 + 1], lda, &tau[i__], &work[1],

11
lib/linalg/dorgqr.cpp
View File

@ -100,14 +100,13 @@ int dorgqr_(integer *m, integer *n, integer *k, doublereal *a, integer *lda, dou
ib = min(i__2, i__3);
if (i__ + ib <= *n) {
i__2 = *m - i__ + 1;
dlarft_((char *)"Forward", (char *)"Columnwise", &i__2, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__],
&work[1], &ldwork, (ftnlen)7, (ftnlen)10);
dlarft_((char *)"F", (char *)"C", &i__2, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__], &work[1],
&ldwork, (ftnlen)1, (ftnlen)1);
i__2 = *m - i__ + 1;
i__3 = *n - i__ - ib + 1;
dlarfb_((char *)"Left", (char *)"No transpose", (char *)"Forward", (char *)"Columnwise", &i__2, &i__3, &ib,
&a[i__ + i__ * a_dim1], lda, &work[1], &ldwork,
&a[i__ + (i__ + ib) * a_dim1], lda, &work[ib + 1], &ldwork, (ftnlen)4,
(ftnlen)12, (ftnlen)7, (ftnlen)10);
dlarfb_((char *)"L", (char *)"N", (char *)"F", (char *)"C", &i__2, &i__3, &ib, &a[i__ + i__ * a_dim1], lda,
&work[1], &ldwork, &a[i__ + (i__ + ib) * a_dim1], lda, &work[ib + 1],
&ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
i__2 = *m - i__ + 1;
dorg2r_(&i__2, &ib, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__], &work[1], &iinfo);

12
lib/linalg/dorm2l.cpp
View File

@ -9,13 +9,12 @@ int dorm2l_(char *side, char *trans, integer *m, integer *n, integer *k, doubler
{
integer a_dim1, a_offset, c_dim1, c_offset, i__1, i__2;
integer i__, i1, i2, i3, mi, ni, nq;
doublereal aii;
logical left;
extern int dlarf_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen);
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern int xerbla_(char *, integer *, ftnlen);
logical notran;
extern int dlarf1l_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -77,11 +76,8 @@ int dorm2l_(char *side, char *trans, integer *m, integer *n, integer *k, doubler
} else {
ni = *n - *k + i__;
}
aii = a[nq - *k + i__ + i__ * a_dim1];
a[nq - *k + i__ + i__ * a_dim1] = 1.;
dlarf_(side, &mi, &ni, &a[i__ * a_dim1 + 1], &c__1, &tau[i__], &c__[c_offset], ldc,
&work[1], (ftnlen)1);
a[nq - *k + i__ + i__ * a_dim1] = aii;
dlarf1l_(side, &mi, &ni, &a[i__ * a_dim1 + 1], &c__1, &tau[i__], &c__[c_offset], ldc,
&work[1], (ftnlen)1);
}
return 0;
}

12
lib/linalg/dorm2r.cpp
View File

@ -9,13 +9,12 @@ int dorm2r_(char *side, char *trans, integer *m, integer *n, integer *k, doubler
{
integer a_dim1, a_offset, c_dim1, c_offset, i__1, i__2;
integer i__, i1, i2, i3, ic, jc, mi, ni, nq;
doublereal aii;
logical left;
extern int dlarf_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen);
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern int xerbla_(char *, integer *, ftnlen);
logical notran;
extern int dlarf1f_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -81,11 +80,8 @@ int dorm2r_(char *side, char *trans, integer *m, integer *n, integer *k, doubler
ni = *n - i__ + 1;
jc = i__;
}
aii = a[i__ + i__ * a_dim1];
a[i__ + i__ * a_dim1] = 1.;
dlarf_(side, &mi, &ni, &a[i__ + i__ * a_dim1], &c__1, &tau[i__], &c__[ic + jc * c_dim1],
ldc, &work[1], (ftnlen)1);
a[i__ + i__ * a_dim1] = aii;
dlarf1f_(side, &mi, &ni, &a[i__ + i__ * a_dim1], &c__1, &tau[i__], &c__[ic + jc * c_dim1],
ldc, &work[1], (ftnlen)1);
}
return 0;
}

8
lib/linalg/dormhr.cpp
View File

@ -39,10 +39,10 @@ int dormhr_(char *side, char *trans, integer *m, integer *n, integer *ilo, integ
lquery = *lwork == -1;
if (left) {
nq = *m;
nw = *n;
nw = max(1, *n);
} else {
nq = *n;
nw = *m;
nw = max(1, *m);
}
if (!left && !lsame_(side, (char *)"R", (ftnlen)1, (ftnlen)1)) {
*info = -1;
@ -61,7 +61,7 @@ int dormhr_(char *side, char *trans, integer *m, integer *n, integer *ilo, integ
*info = -8;
} else if (*ldc < max(1, *m)) {
*info = -11;
} else if (*lwork < max(1, nw) && !lquery) {
} else if (*lwork < nw && !lquery) {
*info = -13;
}
if (*info == 0) {
@ -76,7 +76,7 @@ int dormhr_(char *side, char *trans, integer *m, integer *n, integer *ilo, integ
s_lmp_cat(ch__1, a__1, i__1, &c__2, (ftnlen)2);
nb = ilaenv_(&c__1, (char *)"DORMQR", ch__1, m, &nh, &nh, &c_n1, (ftnlen)6, (ftnlen)2);
}
lwkopt = max(1, nw) * nb;
lwkopt = nw * nb;
work[1] = (doublereal)lwkopt;
}
if (*info != 0) {

12
lib/linalg/dorml2.cpp
View File

@ -8,13 +8,12 @@ int dorml2_(char *side, char *trans, integer *m, integer *n, integer *k, doubler
{
integer a_dim1, a_offset, c_dim1, c_offset, i__1, i__2;
integer i__, i1, i2, i3, ic, jc, mi, ni, nq;
doublereal aii;
logical left;
extern int dlarf_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen);
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern int xerbla_(char *, integer *, ftnlen);
logical notran;
extern int dlarf1f_(char *, integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -80,11 +79,8 @@ int dorml2_(char *side, char *trans, integer *m, integer *n, integer *k, doubler
ni = *n - i__ + 1;
jc = i__;
}
aii = a[i__ + i__ * a_dim1];
a[i__ + i__ * a_dim1] = 1.;
dlarf_(side, &mi, &ni, &a[i__ + i__ * a_dim1], lda, &tau[i__], &c__[ic + jc * c_dim1], ldc,
&work[1], (ftnlen)1);
a[i__ + i__ * a_dim1] = aii;
dlarf1f_(side, &mi, &ni, &a[i__ + i__ * a_dim1], lda, &tau[i__], &c__[ic + jc * c_dim1],
ldc, &work[1], (ftnlen)1);
}
return 0;
}

10
lib/linalg/dormlq.cpp
View File

@ -134,8 +134,8 @@ int dormlq_(char *side, char *trans, integer *m, integer *n, integer *k, doubler
i__4 = nb, i__5 = *k - i__ + 1;
ib = min(i__4, i__5);
i__4 = nq - i__ + 1;
dlarft_((char *)"Forward", (char *)"Rowwise", &i__4, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__],
&work[iwt], &c__65, (ftnlen)7, (ftnlen)7);
dlarft_((char *)"F", (char *)"R", &i__4, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__], &work[iwt],
&c__65, (ftnlen)1, (ftnlen)1);
if (left) {
mi = *m - i__ + 1;
ic = i__;
@ -143,9 +143,9 @@ int dormlq_(char *side, char *trans, integer *m, integer *n, integer *k, doubler
ni = *n - i__ + 1;
jc = i__;
}
dlarfb_(side, transt, (char *)"Forward", (char *)"Rowwise", &mi, &ni, &ib, &a[i__ + i__ * a_dim1], lda,
&work[iwt], &c__65, &c__[ic + jc * c_dim1], ldc, &work[1], &ldwork, (ftnlen)1,
(ftnlen)1, (ftnlen)7, (ftnlen)7);
dlarfb_(side, transt, (char *)"F", (char *)"R", &mi, &ni, &ib, &a[i__ + i__ * a_dim1], lda, &work[iwt],
&c__65, &c__[ic + jc * c_dim1], ldc, &work[1], &ldwork, (ftnlen)1, (ftnlen)1,
(ftnlen)1, (ftnlen)1);
}
}
work[1] = (doublereal)lwkopt;

10
lib/linalg/dormql.cpp
View File

@ -128,16 +128,16 @@ int dormql_(char *side, char *trans, integer *m, integer *n, integer *k, doubler
i__4 = nb, i__5 = *k - i__ + 1;
ib = min(i__4, i__5);
i__4 = nq - *k + i__ + ib - 1;
dlarft_((char *)"Backward", (char *)"Columnwise", &i__4, &ib, &a[i__ * a_dim1 + 1], lda, &tau[i__],
&work[iwt], &c__65, (ftnlen)8, (ftnlen)10);
dlarft_((char *)"B", (char *)"C", &i__4, &ib, &a[i__ * a_dim1 + 1], lda, &tau[i__], &work[iwt], &c__65,
(ftnlen)1, (ftnlen)1);
if (left) {
mi = *m - *k + i__ + ib - 1;
} else {
ni = *n - *k + i__ + ib - 1;
}
dlarfb_(side, trans, (char *)"Backward", (char *)"Columnwise", &mi, &ni, &ib, &a[i__ * a_dim1 + 1], lda,
&work[iwt], &c__65, &c__[c_offset], ldc, &work[1], &ldwork, (ftnlen)1,
(ftnlen)1, (ftnlen)8, (ftnlen)10);
dlarfb_(side, trans, (char *)"B", (char *)"C", &mi, &ni, &ib, &a[i__ * a_dim1 + 1], lda, &work[iwt],
&c__65, &c__[c_offset], ldc, &work[1], &ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
}
}
work[1] = (doublereal)lwkopt;

10
lib/linalg/dormqr.cpp
View File

@ -127,8 +127,8 @@ int dormqr_(char *side, char *trans, integer *m, integer *n, integer *k, doubler
i__4 = nb, i__5 = *k - i__ + 1;
ib = min(i__4, i__5);
i__4 = nq - i__ + 1;
dlarft_((char *)"Forward", (char *)"Columnwise", &i__4, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__],
&work[iwt], &c__65, (ftnlen)7, (ftnlen)10);
dlarft_((char *)"F", (char *)"C", &i__4, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__], &work[iwt],
&c__65, (ftnlen)1, (ftnlen)1);
if (left) {
mi = *m - i__ + 1;
ic = i__;
@ -136,9 +136,9 @@ int dormqr_(char *side, char *trans, integer *m, integer *n, integer *k, doubler
ni = *n - i__ + 1;
jc = i__;
}
dlarfb_(side, trans, (char *)"Forward", (char *)"Columnwise", &mi, &ni, &ib, &a[i__ + i__ * a_dim1],
lda, &work[iwt], &c__65, &c__[ic + jc * c_dim1], ldc, &work[1], &ldwork,
(ftnlen)1, (ftnlen)1, (ftnlen)7, (ftnlen)10);
dlarfb_(side, trans, (char *)"F", (char *)"C", &mi, &ni, &ib, &a[i__ + i__ * a_dim1], lda, &work[iwt],
&c__65, &c__[ic + jc * c_dim1], ldc, &work[1], &ldwork, (ftnlen)1, (ftnlen)1,
(ftnlen)1, (ftnlen)1);
}
}
work[1] = (doublereal)lwkopt;

8
lib/linalg/dpotf2.cpp
View File

@ -55,8 +55,8 @@ int dpotf2_(char *uplo, integer *n, doublereal *a, integer *lda, integer *info,
if (j < *n) {
i__2 = j - 1;
i__3 = *n - j;
dgemv_((char *)"Transpose", &i__2, &i__3, &c_b10, &a[(j + 1) * a_dim1 + 1], lda,
&a[j * a_dim1 + 1], &c__1, &c_b12, &a[j + (j + 1) * a_dim1], lda, (ftnlen)9);
dgemv_((char *)"T", &i__2, &i__3, &c_b10, &a[(j + 1) * a_dim1 + 1], lda, &a[j * a_dim1 + 1],
&c__1, &c_b12, &a[j + (j + 1) * a_dim1], lda, (ftnlen)1);
i__2 = *n - j;
d__1 = 1. / ajj;
dscal_(&i__2, &d__1, &a[j + (j + 1) * a_dim1], lda);
@ -76,8 +76,8 @@ int dpotf2_(char *uplo, integer *n, doublereal *a, integer *lda, integer *info,
if (j < *n) {
i__2 = *n - j;
i__3 = j - 1;
dgemv_((char *)"No transpose", &i__2, &i__3, &c_b10, &a[j + 1 + a_dim1], lda,
&a[j + a_dim1], lda, &c_b12, &a[j + 1 + j * a_dim1], &c__1, (ftnlen)12);
dgemv_((char *)"N", &i__2, &i__3, &c_b10, &a[j + 1 + a_dim1], lda, &a[j + a_dim1], lda,
&c_b12, &a[j + 1 + j * a_dim1], &c__1, (ftnlen)1);
i__2 = *n - j;
d__1 = 1. / ajj;
dscal_(&i__2, &d__1, &a[j + 1 + j * a_dim1], &c__1);

36
lib/linalg/dpotrf.cpp
View File

@ -55,22 +55,22 @@ int dpotrf_(char *uplo, integer *n, doublereal *a, integer *lda, integer *info,
i__3 = nb, i__4 = *n - j + 1;
jb = min(i__3, i__4);
i__3 = j - 1;
dsyrk_((char *)"Upper", (char *)"Transpose", &jb, &i__3, &c_b13, &a[j * a_dim1 + 1], lda, &c_b14,
&a[j + j * a_dim1], lda, (ftnlen)5, (ftnlen)9);
dpotrf2_((char *)"Upper", &jb, &a[j + j * a_dim1], lda, info, (ftnlen)5);
dsyrk_((char *)"U", (char *)"T", &jb, &i__3, &c_b13, &a[j * a_dim1 + 1], lda, &c_b14,
&a[j + j * a_dim1], lda, (ftnlen)1, (ftnlen)1);
dpotrf2_((char *)"U", &jb, &a[j + j * a_dim1], lda, info, (ftnlen)1);
if (*info != 0) {
goto L30;
}
if (j + jb <= *n) {
i__3 = *n - j - jb + 1;
i__4 = j - 1;
dgemm_((char *)"Transpose", (char *)"No transpose", &jb, &i__3, &i__4, &c_b13,
&a[j * a_dim1 + 1], lda, &a[(j + jb) * a_dim1 + 1], lda, &c_b14,
&a[j + (j + jb) * a_dim1], lda, (ftnlen)9, (ftnlen)12);
dgemm_((char *)"T", (char *)"N", &jb, &i__3, &i__4, &c_b13, &a[j * a_dim1 + 1], lda,
&a[(j + jb) * a_dim1 + 1], lda, &c_b14, &a[j + (j + jb) * a_dim1], lda,
(ftnlen)1, (ftnlen)1);
i__3 = *n - j - jb + 1;
dtrsm_((char *)"Left", (char *)"Upper", (char *)"Transpose", (char *)"Non-unit", &jb, &i__3, &c_b14,
&a[j + j * a_dim1], lda, &a[j + (j + jb) * a_dim1], lda, (ftnlen)4,
(ftnlen)5, (ftnlen)9, (ftnlen)8);
dtrsm_((char *)"L", (char *)"U", (char *)"T", (char *)"N", &jb, &i__3, &c_b14, &a[j + j * a_dim1], lda,
&a[j + (j + jb) * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
}
}
} else {
@ -80,22 +80,22 @@ int dpotrf_(char *uplo, integer *n, doublereal *a, integer *lda, integer *info,
i__3 = nb, i__4 = *n - j + 1;
jb = min(i__3, i__4);
i__3 = j - 1;
dsyrk_((char *)"Lower", (char *)"No transpose", &jb, &i__3, &c_b13, &a[j + a_dim1], lda, &c_b14,
&a[j + j * a_dim1], lda, (ftnlen)5, (ftnlen)12);
dpotrf2_((char *)"Lower", &jb, &a[j + j * a_dim1], lda, info, (ftnlen)5);
dsyrk_((char *)"L", (char *)"N", &jb, &i__3, &c_b13, &a[j + a_dim1], lda, &c_b14,
&a[j + j * a_dim1], lda, (ftnlen)1, (ftnlen)1);
dpotrf2_((char *)"L", &jb, &a[j + j * a_dim1], lda, info, (ftnlen)1);
if (*info != 0) {
goto L30;
}
if (j + jb <= *n) {
i__3 = *n - j - jb + 1;
i__4 = j - 1;
dgemm_((char *)"No transpose", (char *)"Transpose", &i__3, &jb, &i__4, &c_b13,
&a[j + jb + a_dim1], lda, &a[j + a_dim1], lda, &c_b14,
&a[j + jb + j * a_dim1], lda, (ftnlen)12, (ftnlen)9);
dgemm_((char *)"N", (char *)"T", &i__3, &jb, &i__4, &c_b13, &a[j + jb + a_dim1], lda,
&a[j + a_dim1], lda, &c_b14, &a[j + jb + j * a_dim1], lda, (ftnlen)1,
(ftnlen)1);
i__3 = *n - j - jb + 1;
dtrsm_((char *)"Right", (char *)"Lower", (char *)"Transpose", (char *)"Non-unit", &i__3, &jb, &c_b14,
&a[j + j * a_dim1], lda, &a[j + jb + j * a_dim1], lda, (ftnlen)5,
(ftnlen)5, (ftnlen)9, (ftnlen)8);
dtrsm_((char *)"R", (char *)"L", (char *)"T", (char *)"N", &i__3, &jb, &c_b14, &a[j + j * a_dim1], lda,
&a[j + jb + j * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
}
}
}

2
lib/linalg/dpotri.cpp
View File

@ -28,7 +28,7 @@ int dpotri_(char *uplo, integer *n, doublereal *a, integer *lda, integer *info,
if (*n == 0) {
return 0;
}
dtrtri_(uplo, (char *)"Non-unit", n, &a[a_offset], lda, info, (ftnlen)1, (ftnlen)8);
dtrtri_(uplo, (char *)"N", n, &a[a_offset], lda, info, (ftnlen)1, (ftnlen)1);
if (*info > 0) {
return 0;
}

16
lib/linalg/dpotrs.cpp
View File

@ -41,15 +41,15 @@ int dpotrs_(char *uplo, integer *n, integer *nrhs, doublereal *a, integer *lda,
return 0;
}
if (upper) {
dtrsm_((char *)"Left", (char *)"Upper", (char *)"Transpose", (char *)"Non-unit", n, nrhs, &c_b9, &a[a_offset], lda,
&b[b_offset], ldb, (ftnlen)4, (ftnlen)5, (ftnlen)9, (ftnlen)8);
dtrsm_((char *)"Left", (char *)"Upper", (char *)"No transpose", (char *)"Non-unit", n, nrhs, &c_b9, &a[a_offset], lda,
&b[b_offset], ldb, (ftnlen)4, (ftnlen)5, (ftnlen)12, (ftnlen)8);
dtrsm_((char *)"L", (char *)"U", (char *)"T", (char *)"N", n, nrhs, &c_b9, &a[a_offset], lda, &b[b_offset], ldb, (ftnlen)1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
dtrsm_((char *)"L", (char *)"U", (char *)"N", (char *)"N", n, nrhs, &c_b9, &a[a_offset], lda, &b[b_offset], ldb, (ftnlen)1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
} else {
dtrsm_((char *)"Left", (char *)"Lower", (char *)"No transpose", (char *)"Non-unit", n, nrhs, &c_b9, &a[a_offset], lda,
&b[b_offset], ldb, (ftnlen)4, (ftnlen)5, (ftnlen)12, (ftnlen)8);
dtrsm_((char *)"Left", (char *)"Lower", (char *)"Transpose", (char *)"Non-unit", n, nrhs, &c_b9, &a[a_offset], lda,
&b[b_offset], ldb, (ftnlen)4, (ftnlen)5, (ftnlen)9, (ftnlen)8);
dtrsm_((char *)"L", (char *)"L", (char *)"N", (char *)"N", n, nrhs, &c_b9, &a[a_offset], lda, &b[b_offset], ldb, (ftnlen)1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
dtrsm_((char *)"L", (char *)"L", (char *)"T", (char *)"N", n, nrhs, &c_b9, &a[a_offset], lda, &b[b_offset], ldb, (ftnlen)1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
}
return 0;
}

2
lib/linalg/dstedc.cpp
View File

@ -138,7 +138,7 @@ int dstedc_(char *compz, integer *n, doublereal *d__, doublereal *e, doublereal
storez = 1;
}
if (icompz == 2) {
dlaset_((char *)"Full", n, n, &c_b17, &c_b18, &z__[z_offset], ldz, (ftnlen)4);
dlaset_((char *)"F", n, n, &c_b17, &c_b18, &z__[z_offset], ldz, (ftnlen)1);
}
orgnrm = dlanst_((char *)"M", n, &d__[1], &e[1], (ftnlen)1);
if (orgnrm == 0.) {

2
lib/linalg/dsteqr.cpp
View File

@ -91,7 +91,7 @@ int dsteqr_(char *compz, integer *n, doublereal *d__, doublereal *e, doublereal
ssfmax = sqrt(safmax) / 3.;
ssfmin = sqrt(safmin) / eps2;
if (icompz == 2) {
dlaset_((char *)"Full", n, n, &c_b9, &c_b10, &z__[z_offset], ldz, (ftnlen)4);
dlaset_((char *)"F", n, n, &c_b9, &c_b10, &z__[z_offset], ldz, (ftnlen)1);
}
nmaxit = *n * 30;
jtot = 0;

16
lib/linalg/dsygs2.cpp
View File

@ -72,8 +72,8 @@ int dsygs2_(integer *itype, char *uplo, integer *n, doublereal *a, integer *lda,
daxpy_(&i__2, &ct, &b[k + (k + 1) * b_dim1], ldb, &a[k + (k + 1) * a_dim1],
lda);
i__2 = *n - k;
dtrsv_(uplo, (char *)"Transpose", (char *)"Non-unit", &i__2, &b[k + 1 + (k + 1) * b_dim1], ldb,
&a[k + (k + 1) * a_dim1], lda, (ftnlen)1, (ftnlen)9, (ftnlen)8);
dtrsv_(uplo, (char *)"T", (char *)"N", &i__2, &b[k + 1 + (k + 1) * b_dim1], ldb,
&a[k + (k + 1) * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
}
} else {
@ -100,8 +100,8 @@ int dsygs2_(integer *itype, char *uplo, integer *n, doublereal *a, integer *lda,
daxpy_(&i__2, &ct, &b[k + 1 + k * b_dim1], &c__1, &a[k + 1 + k * a_dim1],
&c__1);
i__2 = *n - k;
dtrsv_(uplo, (char *)"No transpose", (char *)"Non-unit", &i__2, &b[k + 1 + (k + 1) * b_dim1],
ldb, &a[k + 1 + k * a_dim1], &c__1, (ftnlen)1, (ftnlen)12, (ftnlen)8);
dtrsv_(uplo, (char *)"N", (char *)"N", &i__2, &b[k + 1 + (k + 1) * b_dim1], ldb,
&a[k + 1 + k * a_dim1], &c__1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
}
}
@ -112,8 +112,8 @@ int dsygs2_(integer *itype, char *uplo, integer *n, doublereal *a, integer *lda,
akk = a[k + k * a_dim1];
bkk = b[k + k * b_dim1];
i__2 = k - 1;
dtrmv_(uplo, (char *)"No transpose", (char *)"Non-unit", &i__2, &b[b_offset], ldb,
&a[k * a_dim1 + 1], &c__1, (ftnlen)1, (ftnlen)12, (ftnlen)8);
dtrmv_(uplo, (char *)"N", (char *)"N", &i__2, &b[b_offset], ldb, &a[k * a_dim1 + 1], &c__1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
ct = akk * .5;
i__2 = k - 1;
daxpy_(&i__2, &ct, &b[k * b_dim1 + 1], &c__1, &a[k * a_dim1 + 1], &c__1);
@ -133,8 +133,8 @@ int dsygs2_(integer *itype, char *uplo, integer *n, doublereal *a, integer *lda,
akk = a[k + k * a_dim1];
bkk = b[k + k * b_dim1];
i__2 = k - 1;
dtrmv_(uplo, (char *)"Transpose", (char *)"Non-unit", &i__2, &b[b_offset], ldb, &a[k + a_dim1], lda,
(ftnlen)1, (ftnlen)9, (ftnlen)8);
dtrmv_(uplo, (char *)"T", (char *)"N", &i__2, &b[b_offset], ldb, &a[k + a_dim1], lda, (ftnlen)1,
(ftnlen)1, (ftnlen)1);
ct = akk * .5;
i__2 = k - 1;
daxpy_(&i__2, &ct, &b[k + b_dim1], ldb, &a[k + a_dim1], lda);

92
lib/linalg/dsygst.cpp
View File

@ -72,25 +72,25 @@ int dsygst_(integer *itype, char *uplo, integer *n, doublereal *a, integer *lda,
info, (ftnlen)1);
if (k + kb <= *n) {
i__3 = *n - k - kb + 1;
dtrsm_((char *)"Left", uplo, (char *)"Transpose", (char *)"Non-unit", &kb, &i__3, &c_b14,
&b[k + k * b_dim1], ldb, &a[k + (k + kb) * a_dim1], lda, (ftnlen)4,
(ftnlen)1, (ftnlen)9, (ftnlen)8);
dtrsm_((char *)"L", uplo, (char *)"T", (char *)"N", &kb, &i__3, &c_b14, &b[k + k * b_dim1], ldb,
&a[k + (k + kb) * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
i__3 = *n - k - kb + 1;
dsymm_((char *)"Left", uplo, &kb, &i__3, &c_b16, &a[k + k * a_dim1], lda,
dsymm_((char *)"L", uplo, &kb, &i__3, &c_b16, &a[k + k * a_dim1], lda,
&b[k + (k + kb) * b_dim1], ldb, &c_b14, &a[k + (k + kb) * a_dim1],
lda, (ftnlen)4, (ftnlen)1);
lda, (ftnlen)1, (ftnlen)1);
i__3 = *n - k - kb + 1;
dsyr2k_(uplo, (char *)"Transpose", &i__3, &kb, &c_b19, &a[k + (k + kb) * a_dim1],
lda, &b[k + (k + kb) * b_dim1], ldb, &c_b14,
&a[k + kb + (k + kb) * a_dim1], lda, (ftnlen)1, (ftnlen)9);
dsyr2k_(uplo, (char *)"T", &i__3, &kb, &c_b19, &a[k + (k + kb) * a_dim1], lda,
&b[k + (k + kb) * b_dim1], ldb, &c_b14,
&a[k + kb + (k + kb) * a_dim1], lda, (ftnlen)1, (ftnlen)1);
i__3 = *n - k - kb + 1;
dsymm_((char *)"Left", uplo, &kb, &i__3, &c_b16, &a[k + k * a_dim1], lda,
dsymm_((char *)"L", uplo, &kb, &i__3, &c_b16, &a[k + k * a_dim1], lda,
&b[k + (k + kb) * b_dim1], ldb, &c_b14, &a[k + (k + kb) * a_dim1],
lda, (ftnlen)4, (ftnlen)1);
lda, (ftnlen)1, (ftnlen)1);
i__3 = *n - k - kb + 1;
dtrsm_((char *)"Right", uplo, (char *)"No transpose", (char *)"Non-unit", &kb, &i__3, &c_b14,
dtrsm_((char *)"R", uplo, (char *)"N", (char *)"N", &kb, &i__3, &c_b14,
&b[k + kb + (k + kb) * b_dim1], ldb, &a[k + (k + kb) * a_dim1], lda,
(ftnlen)5, (ftnlen)1, (ftnlen)12, (ftnlen)8);
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
}
} else {
@ -103,25 +103,25 @@ int dsygst_(integer *itype, char *uplo, integer *n, doublereal *a, integer *lda,
info, (ftnlen)1);
if (k + kb <= *n) {
i__3 = *n - k - kb + 1;
dtrsm_((char *)"Right", uplo, (char *)"Transpose", (char *)"Non-unit", &i__3, &kb, &c_b14,
&b[k + k * b_dim1], ldb, &a[k + kb + k * a_dim1], lda, (ftnlen)5,
(ftnlen)1, (ftnlen)9, (ftnlen)8);
dtrsm_((char *)"R", uplo, (char *)"T", (char *)"N", &i__3, &kb, &c_b14, &b[k + k * b_dim1], ldb,
&a[k + kb + k * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
i__3 = *n - k - kb + 1;
dsymm_((char *)"Right", uplo, &i__3, &kb, &c_b16, &a[k + k * a_dim1], lda,
dsymm_((char *)"R", uplo, &i__3, &kb, &c_b16, &a[k + k * a_dim1], lda,
&b[k + kb + k * b_dim1], ldb, &c_b14, &a[k + kb + k * a_dim1], lda,
(ftnlen)5, (ftnlen)1);
(ftnlen)1, (ftnlen)1);
i__3 = *n - k - kb + 1;
dsyr2k_(uplo, (char *)"No transpose", &i__3, &kb, &c_b19, &a[k + kb + k * a_dim1],
lda, &b[k + kb + k * b_dim1], ldb, &c_b14,
&a[k + kb + (k + kb) * a_dim1], lda, (ftnlen)1, (ftnlen)12);
dsyr2k_(uplo, (char *)"N", &i__3, &kb, &c_b19, &a[k + kb + k * a_dim1], lda,
&b[k + kb + k * b_dim1], ldb, &c_b14,
&a[k + kb + (k + kb) * a_dim1], lda, (ftnlen)1, (ftnlen)1);
i__3 = *n - k - kb + 1;
dsymm_((char *)"Right", uplo, &i__3, &kb, &c_b16, &a[k + k * a_dim1], lda,
dsymm_((char *)"R", uplo, &i__3, &kb, &c_b16, &a[k + k * a_dim1], lda,
&b[k + kb + k * b_dim1], ldb, &c_b14, &a[k + kb + k * a_dim1], lda,
(ftnlen)5, (ftnlen)1);
(ftnlen)1, (ftnlen)1);
i__3 = *n - k - kb + 1;
dtrsm_((char *)"Left", uplo, (char *)"No transpose", (char *)"Non-unit", &i__3, &kb, &c_b14,
dtrsm_((char *)"L", uplo, (char *)"N", (char *)"N", &i__3, &kb, &c_b14,
&b[k + kb + (k + kb) * b_dim1], ldb, &a[k + kb + k * a_dim1], lda,
(ftnlen)4, (ftnlen)1, (ftnlen)12, (ftnlen)8);
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
}
}
@ -133,25 +133,23 @@ int dsygst_(integer *itype, char *uplo, integer *n, doublereal *a, integer *lda,
i__3 = *n - k + 1;
kb = min(i__3, nb);
i__3 = k - 1;
dtrmm_((char *)"Left", uplo, (char *)"No transpose", (char *)"Non-unit", &i__3, &kb, &c_b14,
&b[b_offset], ldb, &a[k * a_dim1 + 1], lda, (ftnlen)4, (ftnlen)1,
(ftnlen)12, (ftnlen)8);
dtrmm_((char *)"L", uplo, (char *)"N", (char *)"N", &i__3, &kb, &c_b14, &b[b_offset], ldb,
&a[k * a_dim1 + 1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__3 = k - 1;
dsymm_((char *)"Right", uplo, &i__3, &kb, &c_b52, &a[k + k * a_dim1], lda,
&b[k * b_dim1 + 1], ldb, &c_b14, &a[k * a_dim1 + 1], lda, (ftnlen)5,
dsymm_((char *)"R", uplo, &i__3, &kb, &c_b52, &a[k + k * a_dim1], lda,
&b[k * b_dim1 + 1], ldb, &c_b14, &a[k * a_dim1 + 1], lda, (ftnlen)1,
(ftnlen)1);
i__3 = k - 1;
dsyr2k_(uplo, (char *)"No transpose", &i__3, &kb, &c_b14, &a[k * a_dim1 + 1], lda,
dsyr2k_(uplo, (char *)"N", &i__3, &kb, &c_b14, &a[k * a_dim1 + 1], lda,
&b[k * b_dim1 + 1], ldb, &c_b14, &a[a_offset], lda, (ftnlen)1,
(ftnlen)12);
(ftnlen)1);
i__3 = k - 1;
dsymm_((char *)"Right", uplo, &i__3, &kb, &c_b52, &a[k + k * a_dim1], lda,
&b[k * b_dim1 + 1], ldb, &c_b14, &a[k * a_dim1 + 1], lda, (ftnlen)5,
dsymm_((char *)"R", uplo, &i__3, &kb, &c_b52, &a[k + k * a_dim1], lda,
&b[k * b_dim1 + 1], ldb, &c_b14, &a[k * a_dim1 + 1], lda, (ftnlen)1,
(ftnlen)1);
i__3 = k - 1;
dtrmm_((char *)"Right", uplo, (char *)"Transpose", (char *)"Non-unit", &i__3, &kb, &c_b14,
&b[k + k * b_dim1], ldb, &a[k * a_dim1 + 1], lda, (ftnlen)5, (ftnlen)1,
(ftnlen)9, (ftnlen)8);
dtrmm_((char *)"R", uplo, (char *)"T", (char *)"N", &i__3, &kb, &c_b14, &b[k + k * b_dim1], ldb,
&a[k * a_dim1 + 1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
dsygs2_(itype, uplo, &kb, &a[k + k * a_dim1], lda, &b[k + k * b_dim1], ldb,
info, (ftnlen)1);
}
@ -162,22 +160,20 @@ int dsygst_(integer *itype, char *uplo, integer *n, doublereal *a, integer *lda,
i__3 = *n - k + 1;
kb = min(i__3, nb);
i__3 = k - 1;
dtrmm_((char *)"Right", uplo, (char *)"No transpose", (char *)"Non-unit", &kb, &i__3, &c_b14,
&b[b_offset], ldb, &a[k + a_dim1], lda, (ftnlen)5, (ftnlen)1, (ftnlen)12,
(ftnlen)8);
dtrmm_((char *)"R", uplo, (char *)"N", (char *)"N", &kb, &i__3, &c_b14, &b[b_offset], ldb,
&a[k + a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__3 = k - 1;
dsymm_((char *)"Left", uplo, &kb, &i__3, &c_b52, &a[k + k * a_dim1], lda,
&b[k + b_dim1], ldb, &c_b14, &a[k + a_dim1], lda, (ftnlen)4, (ftnlen)1);
dsymm_((char *)"L", uplo, &kb, &i__3, &c_b52, &a[k + k * a_dim1], lda, &b[k + b_dim1],
ldb, &c_b14, &a[k + a_dim1], lda, (ftnlen)1, (ftnlen)1);
i__3 = k - 1;
dsyr2k_(uplo, (char *)"Transpose", &i__3, &kb, &c_b14, &a[k + a_dim1], lda,
&b[k + b_dim1], ldb, &c_b14, &a[a_offset], lda, (ftnlen)1, (ftnlen)9);
dsyr2k_(uplo, (char *)"T", &i__3, &kb, &c_b14, &a[k + a_dim1], lda, &b[k + b_dim1], ldb,
&c_b14, &a[a_offset], lda, (ftnlen)1, (ftnlen)1);
i__3 = k - 1;
dsymm_((char *)"Left", uplo, &kb, &i__3, &c_b52, &a[k + k * a_dim1], lda,
&b[k + b_dim1], ldb, &c_b14, &a[k + a_dim1], lda, (ftnlen)4, (ftnlen)1);
dsymm_((char *)"L", uplo, &kb, &i__3, &c_b52, &a[k + k * a_dim1], lda, &b[k + b_dim1],
ldb, &c_b14, &a[k + a_dim1], lda, (ftnlen)1, (ftnlen)1);
i__3 = k - 1;
dtrmm_((char *)"Left", uplo, (char *)"Transpose", (char *)"Non-unit", &kb, &i__3, &c_b14,
&b[k + k * b_dim1], ldb, &a[k + a_dim1], lda, (ftnlen)4, (ftnlen)1,
(ftnlen)9, (ftnlen)8);
dtrmm_((char *)"L", uplo, (char *)"T", (char *)"N", &kb, &i__3, &c_b14, &b[k + k * b_dim1], ldb,
&a[k + a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
dsygs2_(itype, uplo, &kb, &a[k + k * a_dim1], lda, &b[k + k * b_dim1], ldb,
info, (ftnlen)1);
}

8
lib/linalg/dsygv.cpp
View File

@ -96,16 +96,16 @@ int dsygv_(integer *itype, char *jobz, char *uplo, integer *n, doublereal *a, in
} else {
*(unsigned char *)trans = 'T';
}
dtrsm_((char *)"Left", uplo, trans, (char *)"Non-unit", n, &neig, &c_b16, &b[b_offset], ldb,
&a[a_offset], lda, (ftnlen)4, (ftnlen)1, (ftnlen)1, (ftnlen)8);
dtrsm_((char *)"L", uplo, trans, (char *)"N", n, &neig, &c_b16, &b[b_offset], ldb, &a[a_offset], lda,
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
} else if (*itype == 3) {
if (upper) {
*(unsigned char *)trans = 'T';
} else {
*(unsigned char *)trans = 'N';
}
dtrmm_((char *)"Left", uplo, trans, (char *)"Non-unit", n, &neig, &c_b16, &b[b_offset], ldb,
&a[a_offset], lda, (ftnlen)4, (ftnlen)1, (ftnlen)1, (ftnlen)8);
dtrmm_((char *)"L", uplo, trans, (char *)"N", n, &neig, &c_b16, &b[b_offset], ldb, &a[a_offset], lda,
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
}
work[1] = (doublereal)lwkopt;

8
lib/linalg/dsygvd.cpp
View File

@ -106,16 +106,16 @@ int dsygvd_(integer *itype, char *jobz, char *uplo, integer *n, doublereal *a, i
} else {
*(unsigned char *)trans = 'T';
}
dtrsm_((char *)"Left", uplo, trans, (char *)"Non-unit", n, n, &c_b11, &b[b_offset], ldb, &a[a_offset],
lda, (ftnlen)4, (ftnlen)1, (ftnlen)1, (ftnlen)8);
dtrsm_((char *)"L", uplo, trans, (char *)"N", n, n, &c_b11, &b[b_offset], ldb, &a[a_offset], lda,
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
} else if (*itype == 3) {
if (upper) {
*(unsigned char *)trans = 'T';
} else {
*(unsigned char *)trans = 'N';
}
dtrmm_((char *)"Left", uplo, trans, (char *)"Non-unit", n, n, &c_b11, &b[b_offset], ldb, &a[a_offset],
lda, (ftnlen)4, (ftnlen)1, (ftnlen)1, (ftnlen)8);
dtrmm_((char *)"L", uplo, trans, (char *)"N", n, n, &c_b11, &b[b_offset], ldb, &a[a_offset], lda,
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
}
work[1] = (doublereal)lopt;

67
lib/linalg/dsyr.cpp
View File

@ -2,7 +2,6 @@
extern "C" {
#endif
#include "lmp_f2c.h"
static integer c_n1 = -1;
int dsyr_(char *uplo, integer *n, doublereal *alpha, doublereal *x, integer *incx, doublereal *a,
integer *lda, ftnlen uplo_len)
{
@ -96,72 +95,6 @@ int dsyr_(char *uplo, integer *n, doublereal *alpha, doublereal *x, integer *inc
}
return 0;
}
int dsysv_(char *uplo, integer *n, integer *nrhs, doublereal *a, integer *lda, integer *ipiv,
doublereal *b, integer *ldb, doublereal *work, integer *lwork, integer *info,
ftnlen uplo_len)
{
integer a_dim1, a_offset, b_dim1, b_offset, i__1;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern int xerbla_(char *, integer *, ftnlen),
dsytrf_(char *, integer *, doublereal *, integer *, integer *, doublereal *, integer *,
integer *, ftnlen);
integer lwkopt;
logical lquery;
extern int dsytrs_(char *, integer *, integer *, doublereal *, integer *, integer *,
doublereal *, integer *, integer *, ftnlen),
dsytrs2_(char *, integer *, integer *, doublereal *, integer *, integer *, doublereal *,
integer *, doublereal *, integer *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
--ipiv;
b_dim1 = *ldb;
b_offset = 1 + b_dim1;
b -= b_offset;
--work;
*info = 0;
lquery = *lwork == -1;
if (!lsame_(uplo, (char *)"U", (ftnlen)1, (ftnlen)1) && !lsame_(uplo, (char *)"L", (ftnlen)1, (ftnlen)1)) {
*info = -1;
} else if (*n < 0) {
*info = -2;
} else if (*nrhs < 0) {
*info = -3;
} else if (*lda < max(1, *n)) {
*info = -5;
} else if (*ldb < max(1, *n)) {
*info = -8;
} else if (*lwork < 1 && !lquery) {
*info = -10;
}
if (*info == 0) {
if (*n == 0) {
lwkopt = 1;
} else {
dsytrf_(uplo, n, &a[a_offset], lda, &ipiv[1], &work[1], &c_n1, info, (ftnlen)1);
lwkopt = (integer)work[1];
}
work[1] = (doublereal)lwkopt;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_((char *)"DSYSV ", &i__1, (ftnlen)6);
return 0;
} else if (lquery) {
return 0;
}
dsytrf_(uplo, n, &a[a_offset], lda, &ipiv[1], &work[1], lwork, info, (ftnlen)1);
if (*info == 0) {
if (*lwork < *n) {
dsytrs_(uplo, n, nrhs, &a[a_offset], lda, &ipiv[1], &b[b_offset], ldb, info, (ftnlen)1);
} else {
dsytrs2_(uplo, n, nrhs, &a[a_offset], lda, &ipiv[1], &b[b_offset], ldb, &work[1], info,
(ftnlen)1);
}
}
work[1] = (doublereal)lwkopt;
return 0;
}
#ifdef __cplusplus
}
#endif

12
lib/linalg/dsytrd.cpp
View File

@ -48,7 +48,8 @@ int dsytrd_(char *uplo, integer *n, doublereal *a, integer *lda, doublereal *d__
}
if (*info == 0) {
nb = ilaenv_(&c__1, (char *)"DSYTRD", uplo, n, &c_n1, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
lwkopt = *n * nb;
i__1 = 1, i__2 = *n * nb;
lwkopt = max(i__1, i__2);
work[1] = (doublereal)lwkopt;
}
if (*info != 0) {
@ -95,8 +96,8 @@ int dsytrd_(char *uplo, integer *n, doublereal *a, integer *lda, doublereal *d__
dlatrd_(uplo, &i__3, &nb, &a[a_offset], lda, &e[1], &tau[1], &work[1], &ldwork,
(ftnlen)1);
i__3 = i__ - 1;
dsyr2k_(uplo, (char *)"No transpose", &i__3, &nb, &c_b22, &a[i__ * a_dim1 + 1], lda, &work[1],
&ldwork, &c_b23, &a[a_offset], lda, (ftnlen)1, (ftnlen)12);
dsyr2k_(uplo, (char *)"N", &i__3, &nb, &c_b22, &a[i__ * a_dim1 + 1], lda, &work[1], &ldwork,
&c_b23, &a[a_offset], lda, (ftnlen)1, (ftnlen)1);
i__3 = i__ + nb - 1;
for (j = i__; j <= i__3; ++j) {
a[j - 1 + j * a_dim1] = e[j - 1];
@ -112,9 +113,8 @@ int dsytrd_(char *uplo, integer *n, doublereal *a, integer *lda, doublereal *d__
dlatrd_(uplo, &i__3, &nb, &a[i__ + i__ * a_dim1], lda, &e[i__], &tau[i__], &work[1],
&ldwork, (ftnlen)1);
i__3 = *n - i__ - nb + 1;
dsyr2k_(uplo, (char *)"No transpose", &i__3, &nb, &c_b22, &a[i__ + nb + i__ * a_dim1], lda,
&work[nb + 1], &ldwork, &c_b23, &a[i__ + nb + (i__ + nb) * a_dim1], lda,
(ftnlen)1, (ftnlen)12);
dsyr2k_(uplo, (char *)"N", &i__3, &nb, &c_b22, &a[i__ + nb + i__ * a_dim1], lda, &work[nb + 1],
&ldwork, &c_b23, &a[i__ + nb + (i__ + nb) * a_dim1], lda, (ftnlen)1, (ftnlen)1);
i__3 = i__ + nb - 1;
for (j = i__; j <= i__3; ++j) {
a[j + 1 + j * a_dim1] = e[j];

3
lib/linalg/dsytrf.cpp
View File

@ -40,7 +40,8 @@ int dsytrf_(char *uplo, integer *n, doublereal *a, integer *lda, integer *ipiv,
}
if (*info == 0) {
nb = ilaenv_(&c__1, (char *)"DSYTRF", uplo, n, &c_n1, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
lwkopt = *n * nb;
i__1 = 1, i__2 = *n * nb;
lwkopt = max(i__1, i__2);
work[1] = (doublereal)lwkopt;
}
if (*info != 0) {

24
lib/linalg/dsytrs.cpp
View File

@ -103,8 +103,8 @@ int dsytrs_(char *uplo, integer *n, integer *nrhs, doublereal *a, integer *lda,
}
if (ipiv[k] > 0) {
i__1 = k - 1;
dgemv_((char *)"Transpose", &i__1, nrhs, &c_b7, &b[b_offset], ldb, &a[k * a_dim1 + 1], &c__1,
&c_b19, &b[k + b_dim1], ldb, (ftnlen)9);
dgemv_((char *)"T", &i__1, nrhs, &c_b7, &b[b_offset], ldb, &a[k * a_dim1 + 1], &c__1, &c_b19,
&b[k + b_dim1], ldb, (ftnlen)1);
kp = ipiv[k];
if (kp != k) {
dswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
@ -112,11 +112,11 @@ int dsytrs_(char *uplo, integer *n, integer *nrhs, doublereal *a, integer *lda,
++k;
} else {
i__1 = k - 1;
dgemv_((char *)"Transpose", &i__1, nrhs, &c_b7, &b[b_offset], ldb, &a[k * a_dim1 + 1], &c__1,
&c_b19, &b[k + b_dim1], ldb, (ftnlen)9);
dgemv_((char *)"T", &i__1, nrhs, &c_b7, &b[b_offset], ldb, &a[k * a_dim1 + 1], &c__1, &c_b19,
&b[k + b_dim1], ldb, (ftnlen)1);
i__1 = k - 1;
dgemv_((char *)"Transpose", &i__1, nrhs, &c_b7, &b[b_offset], ldb, &a[(k + 1) * a_dim1 + 1],
&c__1, &c_b19, &b[k + 1 + b_dim1], ldb, (ftnlen)9);
dgemv_((char *)"T", &i__1, nrhs, &c_b7, &b[b_offset], ldb, &a[(k + 1) * a_dim1 + 1], &c__1,
&c_b19, &b[k + 1 + b_dim1], ldb, (ftnlen)1);
kp = -ipiv[k];
if (kp != k) {
dswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
@ -180,8 +180,8 @@ int dsytrs_(char *uplo, integer *n, integer *nrhs, doublereal *a, integer *lda,
if (ipiv[k] > 0) {
if (k < *n) {
i__1 = *n - k;
dgemv_((char *)"Transpose", &i__1, nrhs, &c_b7, &b[k + 1 + b_dim1], ldb,
&a[k + 1 + k * a_dim1], &c__1, &c_b19, &b[k + b_dim1], ldb, (ftnlen)9);
dgemv_((char *)"T", &i__1, nrhs, &c_b7, &b[k + 1 + b_dim1], ldb, &a[k + 1 + k * a_dim1],
&c__1, &c_b19, &b[k + b_dim1], ldb, (ftnlen)1);
}
kp = ipiv[k];
if (kp != k) {
@ -191,12 +191,12 @@ int dsytrs_(char *uplo, integer *n, integer *nrhs, doublereal *a, integer *lda,
} else {
if (k < *n) {
i__1 = *n - k;
dgemv_((char *)"Transpose", &i__1, nrhs, &c_b7, &b[k + 1 + b_dim1], ldb,
&a[k + 1 + k * a_dim1], &c__1, &c_b19, &b[k + b_dim1], ldb, (ftnlen)9);
dgemv_((char *)"T", &i__1, nrhs, &c_b7, &b[k + 1 + b_dim1], ldb, &a[k + 1 + k * a_dim1],
&c__1, &c_b19, &b[k + b_dim1], ldb, (ftnlen)1);
i__1 = *n - k;
dgemv_((char *)"Transpose", &i__1, nrhs, &c_b7, &b[k + 1 + b_dim1], ldb,
dgemv_((char *)"T", &i__1, nrhs, &c_b7, &b[k + 1 + b_dim1], ldb,
&a[k + 1 + (k - 1) * a_dim1], &c__1, &c_b19, &b[k - 1 + b_dim1], ldb,
(ftnlen)9);
(ftnlen)1);
}
kp = -ipiv[k];
if (kp != k) {

7
lib/linalg/dtrevc3.cpp
View File

@ -51,8 +51,7 @@ int dtrevc3_(char *side, char *howmny, logical *select, integer *n, doublereal *
extern int dlaln2_(logical *, integer *, integer *, doublereal *, doublereal *, doublereal *,
integer *, doublereal *, doublereal *, doublereal *, integer *, doublereal *,
doublereal *, doublereal *, integer *, doublereal *, doublereal *,
integer *),
dlabad_(doublereal *, doublereal *);
integer *);
extern doublereal dlamch_(char *, ftnlen);
extern integer idamax_(integer *, doublereal *, integer *);
extern int dlaset_(char *, integer *, integer *, doublereal *, doublereal *, doublereal *,
@ -89,7 +88,8 @@ int dtrevc3_(char *side, char *howmny, logical *select, integer *n, doublereal *
i__1[1] = 1, a__1[1] = howmny;
s_lmp_cat(ch__1, a__1, i__1, &c__2, (ftnlen)2);
nb = ilaenv_(&c__1, (char *)"DTREVC", ch__1, n, &c_n1, &c_n1, &c_n1, (ftnlen)6, (ftnlen)2);
maxwrk = *n + (*n << 1) * nb;
i__2 = 1, i__3 = *n + (*n << 1) * nb;
maxwrk = max(i__2, i__3);
work[1] = (doublereal)maxwrk;
lquery = *lwork == -1;
if (!rightv && !leftv) {
@ -165,7 +165,6 @@ int dtrevc3_(char *side, char *howmny, logical *select, integer *n, doublereal *
}
unfl = dlamch_((char *)"Safe minimum", (ftnlen)12);
ovfl = 1. / unfl;
dlabad_(&unfl, &ovfl);
ulp = dlamch_((char *)"Precision", (ftnlen)9);
smlnum = unfl * (*n / ulp);
bignum = (1. - ulp) / smlnum;

8
lib/linalg/dtrti2.cpp
View File

@ -46,8 +46,8 @@ int dtrti2_(char *uplo, char *diag, integer *n, doublereal *a, integer *lda, int
ajj = -1.;
}
i__2 = j - 1;
dtrmv_((char *)"Upper", (char *)"No transpose", diag, &i__2, &a[a_offset], lda, &a[j * a_dim1 + 1],
&c__1, (ftnlen)5, (ftnlen)12, (ftnlen)1);
dtrmv_((char *)"U", (char *)"N", diag, &i__2, &a[a_offset], lda, &a[j * a_dim1 + 1], &c__1, (ftnlen)1,
(ftnlen)1, (ftnlen)1);
i__2 = j - 1;
dscal_(&i__2, &ajj, &a[j * a_dim1 + 1], &c__1);
}
@ -61,8 +61,8 @@ int dtrti2_(char *uplo, char *diag, integer *n, doublereal *a, integer *lda, int
}
if (j < *n) {
i__1 = *n - j;
dtrmv_((char *)"Lower", (char *)"No transpose", diag, &i__1, &a[j + 1 + (j + 1) * a_dim1], lda,
&a[j + 1 + j * a_dim1], &c__1, (ftnlen)5, (ftnlen)12, (ftnlen)1);
dtrmv_((char *)"L", (char *)"N", diag, &i__1, &a[j + 1 + (j + 1) * a_dim1], lda,
&a[j + 1 + j * a_dim1], &c__1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *n - j;
dscal_(&i__1, &ajj, &a[j + 1 + j * a_dim1], &c__1);
}

25
lib/linalg/dtrtri.cpp
View File

@ -74,13 +74,12 @@ int dtrtri_(char *uplo, char *diag, integer *n, doublereal *a, integer *lda, int
i__4 = nb, i__5 = *n - j + 1;
jb = min(i__4, i__5);
i__4 = j - 1;
dtrmm_((char *)"Left", (char *)"Upper", (char *)"No transpose", diag, &i__4, &jb, &c_b18, &a[a_offset], lda,
&a[j * a_dim1 + 1], lda, (ftnlen)4, (ftnlen)5, (ftnlen)12, (ftnlen)1);
dtrmm_((char *)"L", (char *)"U", (char *)"N", diag, &i__4, &jb, &c_b18, &a[a_offset], lda,
&a[j * a_dim1 + 1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__4 = j - 1;
dtrsm_((char *)"Right", (char *)"Upper", (char *)"No transpose", diag, &i__4, &jb, &c_b22,
&a[j + j * a_dim1], lda, &a[j * a_dim1 + 1], lda, (ftnlen)5, (ftnlen)5,
(ftnlen)12, (ftnlen)1);
dtrti2_((char *)"Upper", diag, &jb, &a[j + j * a_dim1], lda, info, (ftnlen)5, (ftnlen)1);
dtrsm_((char *)"R", (char *)"U", (char *)"N", diag, &i__4, &jb, &c_b22, &a[j + j * a_dim1], lda,
&a[j * a_dim1 + 1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
dtrti2_((char *)"U", diag, &jb, &a[j + j * a_dim1], lda, info, (ftnlen)1, (ftnlen)1);
}
} else {
nn = (*n - 1) / nb * nb + 1;
@ -90,15 +89,15 @@ int dtrtri_(char *uplo, char *diag, integer *n, doublereal *a, integer *lda, int
jb = min(i__1, i__4);
if (j + jb <= *n) {
i__1 = *n - j - jb + 1;
dtrmm_((char *)"Left", (char *)"Lower", (char *)"No transpose", diag, &i__1, &jb, &c_b18,
&a[j + jb + (j + jb) * a_dim1], lda, &a[j + jb + j * a_dim1], lda,
(ftnlen)4, (ftnlen)5, (ftnlen)12, (ftnlen)1);
dtrmm_((char *)"L", (char *)"L", (char *)"N", diag, &i__1, &jb, &c_b18, &a[j + jb + (j + jb) * a_dim1],
lda, &a[j + jb + j * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
i__1 = *n - j - jb + 1;
dtrsm_((char *)"Right", (char *)"Lower", (char *)"No transpose", diag, &i__1, &jb, &c_b22,
&a[j + j * a_dim1], lda, &a[j + jb + j * a_dim1], lda, (ftnlen)5,
(ftnlen)5, (ftnlen)12, (ftnlen)1);
dtrsm_((char *)"R", (char *)"L", (char *)"N", diag, &i__1, &jb, &c_b22, &a[j + j * a_dim1], lda,
&a[j + jb + j * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
}
dtrti2_((char *)"Lower", diag, &jb, &a[j + j * a_dim1], lda, info, (ftnlen)5, (ftnlen)1);
dtrti2_((char *)"L", diag, &jb, &a[j + j * a_dim1], lda, info, (ftnlen)1, (ftnlen)1);
}
}
}

4
lib/linalg/dtrtrs.cpp
View File

@ -56,8 +56,8 @@ int dtrtrs_(char *uplo, char *trans, char *diag, integer *n, integer *nrhs, doub
}
}
*info = 0;
dtrsm_((char *)"Left", uplo, trans, diag, n, nrhs, &c_b12, &a[a_offset], lda, &b[b_offset], ldb,
(ftnlen)4, (ftnlen)1, (ftnlen)1, (ftnlen)1);
dtrsm_((char *)"L", uplo, trans, diag, n, nrhs, &c_b12, &a[a_offset], lda, &b[b_offset], ldb, (ftnlen)1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
return 0;
}
#ifdef __cplusplus

11
lib/linalg/zgetrf.cpp
View File

@ -69,16 +69,15 @@ int zgetrf_(integer *m, integer *n, doublecomplex *a, integer *lda, integer *ipi
i__4 = j + jb - 1;
zlaswp_(&i__3, &a[(j + jb) * a_dim1 + 1], lda, &j, &i__4, &ipiv[1], &c__1);
i__3 = *n - j - jb + 1;
ztrsm_((char *)"Left", (char *)"Lower", (char *)"No transpose", (char *)"Unit", &jb, &i__3, &c_b1,
&a[j + j * a_dim1], lda, &a[j + (j + jb) * a_dim1], lda, (ftnlen)4,
(ftnlen)5, (ftnlen)12, (ftnlen)4);
ztrsm_((char *)"L", (char *)"L", (char *)"N", (char *)"U", &jb, &i__3, &c_b1, &a[j + j * a_dim1], lda,
&a[j + (j + jb) * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (j + jb <= *m) {
i__3 = *m - j - jb + 1;
i__4 = *n - j - jb + 1;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"No transpose", (char *)"No transpose", &i__3, &i__4, &jb, &z__1,
&a[j + jb + j * a_dim1], lda, &a[j + (j + jb) * a_dim1], lda, &c_b1,
&a[j + jb + (j + jb) * a_dim1], lda, (ftnlen)12, (ftnlen)12);
zgemm_((char *)"N", (char *)"N", &i__3, &i__4, &jb, &z__1, &a[j + jb + j * a_dim1], lda,
&a[j + (j + jb) * a_dim1], lda, &c_b1, &a[j + jb + (j + jb) * a_dim1],
lda, (ftnlen)1, (ftnlen)1);
}
}
}

19
lib/linalg/zgetri.cpp
View File

@ -35,7 +35,8 @@ int zgetri_(integer *n, doublecomplex *a, integer *lda, integer *ipiv, doublecom
--work;
*info = 0;
nb = ilaenv_(&c__1, (char *)"ZGETRI", (char *)" ", n, &c_n1, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
lwkopt = *n * nb;
i__1 = 1, i__2 = *n * nb;
lwkopt = max(i__1, i__2);
work[1].r = (doublereal)lwkopt, work[1].i = 0.;
lquery = *lwork == -1;
if (*n < 0) {
@ -55,7 +56,7 @@ int zgetri_(integer *n, doublecomplex *a, integer *lda, integer *ipiv, doublecom
if (*n == 0) {
return 0;
}
ztrtri_((char *)"Upper", (char *)"Non-unit", n, &a[a_offset], lda, info, (ftnlen)5, (ftnlen)8);
ztrtri_((char *)"U", (char *)"N", n, &a[a_offset], lda, info, (ftnlen)1, (ftnlen)1);
if (*info > 0) {
return 0;
}
@ -86,8 +87,8 @@ int zgetri_(integer *n, doublecomplex *a, integer *lda, integer *ipiv, doublecom
if (j < *n) {
i__1 = *n - j;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", n, &i__1, &z__1, &a[(j + 1) * a_dim1 + 1], lda, &work[j + 1],
&c__1, &c_b2, &a[j * a_dim1 + 1], &c__1, (ftnlen)12);
zgemv_((char *)"N", n, &i__1, &z__1, &a[(j + 1) * a_dim1 + 1], lda, &work[j + 1], &c__1,
&c_b2, &a[j * a_dim1 + 1], &c__1, (ftnlen)1);
}
}
} else {
@ -110,12 +111,12 @@ int zgetri_(integer *n, doublecomplex *a, integer *lda, integer *ipiv, doublecom
if (j + jb <= *n) {
i__2 = *n - j - jb + 1;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"No transpose", (char *)"No transpose", n, &jb, &i__2, &z__1,
&a[(j + jb) * a_dim1 + 1], lda, &work[j + jb], &ldwork, &c_b2,
&a[j * a_dim1 + 1], lda, (ftnlen)12, (ftnlen)12);
zgemm_((char *)"N", (char *)"N", n, &jb, &i__2, &z__1, &a[(j + jb) * a_dim1 + 1], lda,
&work[j + jb], &ldwork, &c_b2, &a[j * a_dim1 + 1], lda, (ftnlen)1,
(ftnlen)1);
}
ztrsm_((char *)"Right", (char *)"Lower", (char *)"No transpose", (char *)"Unit", n, &jb, &c_b2, &work[j], &ldwork,
&a[j * a_dim1 + 1], lda, (ftnlen)5, (ftnlen)5, (ftnlen)12, (ftnlen)4);
ztrsm_((char *)"R", (char *)"L", (char *)"N", (char *)"U", n, &jb, &c_b2, &work[j], &ldwork, &a[j * a_dim1 + 1], lda,
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
}
for (j = *n - 1; j >= 1; --j) {

4
lib/linalg/zheevd.cpp
View File

@ -100,7 +100,7 @@ int zheevd_(char *jobz, char *uplo, integer *n, doublecomplex *a, integer *lda,
liopt = liwmin;
}
work[1].r = (doublereal)lopt, work[1].i = 0.;
rwork[1] = (doublereal)lropt;
rwork[1] = (real)lropt;
iwork[1] = liopt;
if (*lwork < lwmin && !lquery) {
*info = -8;
@ -176,7 +176,7 @@ int zheevd_(char *jobz, char *uplo, integer *n, doublecomplex *a, integer *lda,
dscal_(&imax, &d__1, &w[1], &c__1);
}
work[1].r = (doublereal)lopt, work[1].i = 0.;
rwork[1] = (doublereal)lropt;
rwork[1] = (real)lropt;
iwork[1] = liopt;
return 0;
}

17
lib/linalg/zhegs2.cpp
View File

@ -86,9 +86,8 @@ int zhegs2_(integer *itype, char *uplo, integer *n, doublecomplex *a, integer *l
i__2 = *n - k;
zlacgv_(&i__2, &b[k + (k + 1) * b_dim1], ldb);
i__2 = *n - k;
ztrsv_(uplo, (char *)"Conjugate transpose", (char *)"Non-unit", &i__2,
&b[k + 1 + (k + 1) * b_dim1], ldb, &a[k + (k + 1) * a_dim1], lda,
(ftnlen)1, (ftnlen)19, (ftnlen)8);
ztrsv_(uplo, (char *)"C", (char *)"N", &i__2, &b[k + 1 + (k + 1) * b_dim1], ldb,
&a[k + (k + 1) * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__2 = *n - k;
zlacgv_(&i__2, &a[k + (k + 1) * a_dim1], lda);
}
@ -122,8 +121,8 @@ int zhegs2_(integer *itype, char *uplo, integer *n, doublecomplex *a, integer *l
zaxpy_(&i__2, &ct, &b[k + 1 + k * b_dim1], &c__1, &a[k + 1 + k * a_dim1],
&c__1);
i__2 = *n - k;
ztrsv_(uplo, (char *)"No transpose", (char *)"Non-unit", &i__2, &b[k + 1 + (k + 1) * b_dim1],
ldb, &a[k + 1 + k * a_dim1], &c__1, (ftnlen)1, (ftnlen)12, (ftnlen)8);
ztrsv_(uplo, (char *)"N", (char *)"N", &i__2, &b[k + 1 + (k + 1) * b_dim1], ldb,
&a[k + 1 + k * a_dim1], &c__1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
}
}
@ -136,8 +135,8 @@ int zhegs2_(integer *itype, char *uplo, integer *n, doublecomplex *a, integer *l
i__2 = k + k * b_dim1;
bkk = b[i__2].r;
i__2 = k - 1;
ztrmv_(uplo, (char *)"No transpose", (char *)"Non-unit", &i__2, &b[b_offset], ldb,
&a[k * a_dim1 + 1], &c__1, (ftnlen)1, (ftnlen)12, (ftnlen)8);
ztrmv_(uplo, (char *)"N", (char *)"N", &i__2, &b[b_offset], ldb, &a[k * a_dim1 + 1], &c__1,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
d__1 = akk * .5;
ct.r = d__1, ct.i = 0.;
i__2 = k - 1;
@ -164,8 +163,8 @@ int zhegs2_(integer *itype, char *uplo, integer *n, doublecomplex *a, integer *l
i__2 = k - 1;
zlacgv_(&i__2, &a[k + a_dim1], lda);
i__2 = k - 1;
ztrmv_(uplo, (char *)"Conjugate transpose", (char *)"Non-unit", &i__2, &b[b_offset], ldb,
&a[k + a_dim1], lda, (ftnlen)1, (ftnlen)19, (ftnlen)8);
ztrmv_(uplo, (char *)"C", (char *)"N", &i__2, &b[b_offset], ldb, &a[k + a_dim1], lda, (ftnlen)1,
(ftnlen)1, (ftnlen)1);
d__1 = akk * .5;
ct.r = d__1, ct.i = 0.;
i__2 = k - 1;

8
lib/linalg/zhegv.cpp
View File

@ -95,16 +95,16 @@ int zhegv_(integer *itype, char *jobz, char *uplo, integer *n, doublecomplex *a,
} else {
*(unsigned char *)trans = 'C';
}
ztrsm_((char *)"Left", uplo, trans, (char *)"Non-unit", n, &neig, &c_b1, &b[b_offset], ldb,
&a[a_offset], lda, (ftnlen)4, (ftnlen)1, (ftnlen)1, (ftnlen)8);
ztrsm_((char *)"L", uplo, trans, (char *)"N", n, &neig, &c_b1, &b[b_offset], ldb, &a[a_offset], lda,
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
} else if (*itype == 3) {
if (upper) {
*(unsigned char *)trans = 'C';
} else {
*(unsigned char *)trans = 'N';
}
ztrmm_((char *)"Left", uplo, trans, (char *)"Non-unit", n, &neig, &c_b1, &b[b_offset], ldb,
&a[a_offset], lda, (ftnlen)4, (ftnlen)1, (ftnlen)1, (ftnlen)8);
ztrmm_((char *)"L", uplo, trans, (char *)"N", n, &neig, &c_b1, &b[b_offset], ldb, &a[a_offset], lda,
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
}
work[1].r = (doublereal)lwkopt, work[1].i = 0.;

18
lib/linalg/zherk.cpp
View File

@ -249,12 +249,11 @@ int zherk_(char *uplo, char *trans, integer *n, integer *k, doublereal *alpha, d
rtemp = 0.;
i__2 = *k;
for (l = 1; l <= i__2; ++l) {
d_lmp_cnjg(&z__3, &a[l + j * a_dim1]);
d_lmp_cnjg(&z__2, &a[l + j * a_dim1]);
i__3 = l + j * a_dim1;
z__2.r = z__3.r * a[i__3].r - z__3.i * a[i__3].i,
z__2.i = z__3.r * a[i__3].i + z__3.i * a[i__3].r;
z__1.r = rtemp + z__2.r, z__1.i = z__2.i;
rtemp = z__1.r;
z__1.r = z__2.r * a[i__3].r - z__2.i * a[i__3].i,
z__1.i = z__2.r * a[i__3].i + z__2.i * a[i__3].r;
rtemp += z__1.r;
}
if (*beta == 0.) {
i__2 = j + j * c_dim1;
@ -273,12 +272,11 @@ int zherk_(char *uplo, char *trans, integer *n, integer *k, doublereal *alpha, d
rtemp = 0.;
i__2 = *k;
for (l = 1; l <= i__2; ++l) {
d_lmp_cnjg(&z__3, &a[l + j * a_dim1]);
d_lmp_cnjg(&z__2, &a[l + j * a_dim1]);
i__3 = l + j * a_dim1;
z__2.r = z__3.r * a[i__3].r - z__3.i * a[i__3].i,
z__2.i = z__3.r * a[i__3].i + z__3.i * a[i__3].r;
z__1.r = rtemp + z__2.r, z__1.i = z__2.i;
rtemp = z__1.r;
z__1.r = z__2.r * a[i__3].r - z__2.i * a[i__3].i,
z__1.i = z__2.r * a[i__3].i + z__2.i * a[i__3].r;
rtemp += z__1.r;
}
if (*beta == 0.) {
i__2 = j + j * c_dim1;

12
lib/linalg/zhetrd.cpp
View File

@ -49,7 +49,8 @@ int zhetrd_(char *uplo, integer *n, doublecomplex *a, integer *lda, doublereal *
}
if (*info == 0) {
nb = ilaenv_(&c__1, (char *)"ZHETRD", uplo, n, &c_n1, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
lwkopt = *n * nb;
i__1 = 1, i__2 = *n * nb;
lwkopt = max(i__1, i__2);
work[1].r = (doublereal)lwkopt, work[1].i = 0.;
}
if (*info != 0) {
@ -97,8 +98,8 @@ int zhetrd_(char *uplo, integer *n, doublecomplex *a, integer *lda, doublereal *
(ftnlen)1);
i__3 = i__ - 1;
z__1.r = -1., z__1.i = -0.;
zher2k_(uplo, (char *)"No transpose", &i__3, &nb, &z__1, &a[i__ * a_dim1 + 1], lda, &work[1],
&ldwork, &c_b23, &a[a_offset], lda, (ftnlen)1, (ftnlen)12);
zher2k_(uplo, (char *)"N", &i__3, &nb, &z__1, &a[i__ * a_dim1 + 1], lda, &work[1], &ldwork,
&c_b23, &a[a_offset], lda, (ftnlen)1, (ftnlen)1);
i__3 = i__ + nb - 1;
for (j = i__; j <= i__3; ++j) {
i__4 = j - 1 + j * a_dim1;
@ -118,9 +119,8 @@ int zhetrd_(char *uplo, integer *n, doublecomplex *a, integer *lda, doublereal *
&ldwork, (ftnlen)1);
i__3 = *n - i__ - nb + 1;
z__1.r = -1., z__1.i = -0.;
zher2k_(uplo, (char *)"No transpose", &i__3, &nb, &z__1, &a[i__ + nb + i__ * a_dim1], lda,
&work[nb + 1], &ldwork, &c_b23, &a[i__ + nb + (i__ + nb) * a_dim1], lda,
(ftnlen)1, (ftnlen)12);
zher2k_(uplo, (char *)"N", &i__3, &nb, &z__1, &a[i__ + nb + i__ * a_dim1], lda, &work[nb + 1],
&ldwork, &c_b23, &a[i__ + nb + (i__ + nb) * a_dim1], lda, (ftnlen)1, (ftnlen)1);
i__3 = i__ + nb - 1;
for (j = i__; j <= i__3; ++j) {
i__4 = j + 1 + j * a_dim1;

3
lib/linalg/zhetrf.cpp
View File

@ -40,7 +40,8 @@ int zhetrf_(char *uplo, integer *n, doublecomplex *a, integer *lda, integer *ipi
}
if (*info == 0) {
nb = ilaenv_(&c__1, (char *)"ZHETRF", uplo, n, &c_n1, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
lwkopt = *n * nb;
i__1 = 1, i__2 = *n * nb;
lwkopt = max(i__1, i__2);
work[1].r = (doublereal)lwkopt, work[1].i = 0.;
}
if (*info != 0) {

94
lib/linalg/zlahef.cpp
View File

@ -7,7 +7,7 @@ static integer c__1 = 1;
int zlahef_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a, integer *lda,
integer *ipiv, doublecomplex *w, integer *ldw, integer *info, ftnlen uplo_len)
{
integer a_dim1, a_offset, w_dim1, w_offset, i__1, i__2, i__3, i__4, i__5;
integer a_dim1, a_offset, w_dim1, w_offset, i__1, i__2, i__3, i__4;
doublereal d__1, d__2, d__3, d__4;
doublecomplex z__1, z__2, z__3, z__4;
double sqrt(doublereal), d_lmp_imag(doublecomplex *);
@ -16,12 +16,9 @@ int zlahef_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
integer j, k;
doublereal t, r1;
doublecomplex d11, d21, d22;
integer jb, jj, kk, jp, kp, kw, kkw, imax, jmax;
integer jj, kk, jp, kp, kw, kkw, imax, jmax;
doublereal alpha;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern int zgemm_(char *, char *, integer *, integer *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, ftnlen, ftnlen);
integer kstep;
extern int zgemv_(char *, integer *, integer *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *,
@ -34,6 +31,9 @@ int zlahef_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
extern int zlacgv_(integer *, doublecomplex *, integer *);
extern integer izamax_(integer *, doublecomplex *, integer *);
doublereal rowmax;
extern int zgemmtr_(char *, char *, char *, integer *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, ftnlen, ftnlen, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -60,8 +60,8 @@ int zlahef_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
if (k < *n) {
i__1 = *n - k;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &k, &i__1, &z__1, &a[(k + 1) * a_dim1 + 1], lda,
&w[k + (kw + 1) * w_dim1], ldw, &c_b1, &w[kw * w_dim1 + 1], &c__1, (ftnlen)12);
zgemv_((char *)"N", &k, &i__1, &z__1, &a[(k + 1) * a_dim1 + 1], lda, &w[k + (kw + 1) * w_dim1],
ldw, &c_b1, &w[kw * w_dim1 + 1], &c__1, (ftnlen)1);
i__1 = k + kw * w_dim1;
i__2 = k + kw * w_dim1;
d__1 = w[i__2].r;
@ -105,9 +105,9 @@ int zlahef_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
if (k < *n) {
i__1 = *n - k;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &k, &i__1, &z__1, &a[(k + 1) * a_dim1 + 1], lda,
zgemv_((char *)"N", &k, &i__1, &z__1, &a[(k + 1) * a_dim1 + 1], lda,
&w[imax + (kw + 1) * w_dim1], ldw, &c_b1, &w[(kw - 1) * w_dim1 + 1],
&c__1, (ftnlen)12);
&c__1, (ftnlen)1);
i__1 = imax + (kw - 1) * w_dim1;
i__2 = imax + (kw - 1) * w_dim1;
d__1 = w[i__2].r;
@ -232,34 +232,11 @@ int zlahef_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
k -= kstep;
goto L10;
L30:
i__1 = -(*nb);
for (j = (k - 1) / *nb * *nb + 1; i__1 < 0 ? j >= 1 : j <= 1; j += i__1) {
i__2 = *nb, i__3 = k - j + 1;
jb = min(i__2, i__3);
i__2 = j + jb - 1;
for (jj = j; jj <= i__2; ++jj) {
i__3 = jj + jj * a_dim1;
i__4 = jj + jj * a_dim1;
d__1 = a[i__4].r;
a[i__3].r = d__1, a[i__3].i = 0.;
i__3 = jj - j + 1;
i__4 = *n - k;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__3, &i__4, &z__1, &a[j + (k + 1) * a_dim1], lda,
&w[jj + (kw + 1) * w_dim1], ldw, &c_b1, &a[j + jj * a_dim1], &c__1,
(ftnlen)12);
i__3 = jj + jj * a_dim1;
i__4 = jj + jj * a_dim1;
d__1 = a[i__4].r;
a[i__3].r = d__1, a[i__3].i = 0.;
}
i__2 = j - 1;
i__3 = *n - k;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"No transpose", (char *)"Transpose", &i__2, &jb, &i__3, &z__1, &a[(k + 1) * a_dim1 + 1],
lda, &w[j + (kw + 1) * w_dim1], ldw, &c_b1, &a[j * a_dim1 + 1], lda, (ftnlen)12,
(ftnlen)9);
}
i__1 = *n - k;
z__1.r = -1., z__1.i = -0.;
zgemmtr_((char *)"U", (char *)"N", (char *)"T", &k, &i__1, &z__1, &a[(k + 1) * a_dim1 + 1], lda,
&w[(kw + 1) * w_dim1 + 1], ldw, &c_b1, &a[a_dim1 + 1], lda, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
j = k + 1;
L60:
jj = j;
@ -295,8 +272,8 @@ int zlahef_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
i__1 = *n - k + 1;
i__2 = k - 1;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__1, &i__2, &z__1, &a[k + a_dim1], lda, &w[k + w_dim1], ldw, &c_b1,
&w[k + k * w_dim1], &c__1, (ftnlen)12);
zgemv_((char *)"N", &i__1, &i__2, &z__1, &a[k + a_dim1], lda, &w[k + w_dim1], ldw, &c_b1,
&w[k + k * w_dim1], &c__1, (ftnlen)1);
i__1 = k + k * w_dim1;
i__2 = k + k * w_dim1;
d__1 = w[i__2].r;
@ -341,8 +318,8 @@ int zlahef_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
i__1 = *n - k + 1;
i__2 = k - 1;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__1, &i__2, &z__1, &a[k + a_dim1], lda, &w[imax + w_dim1],
ldw, &c_b1, &w[k + (k + 1) * w_dim1], &c__1, (ftnlen)12);
zgemv_((char *)"N", &i__1, &i__2, &z__1, &a[k + a_dim1], lda, &w[imax + w_dim1], ldw, &c_b1,
&w[k + (k + 1) * w_dim1], &c__1, (ftnlen)1);
i__1 = imax + (k + 1) * w_dim1;
i__2 = imax + (k + 1) * w_dim1;
d__1 = w[i__2].r;
@ -466,36 +443,11 @@ int zlahef_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
k += kstep;
goto L70;
L90:
i__1 = *n;
i__2 = *nb;
for (j = k; i__2 < 0 ? j >= i__1 : j <= i__1; j += i__2) {
i__3 = *nb, i__4 = *n - j + 1;
jb = min(i__3, i__4);
i__3 = j + jb - 1;
for (jj = j; jj <= i__3; ++jj) {
i__4 = jj + jj * a_dim1;
i__5 = jj + jj * a_dim1;
d__1 = a[i__5].r;
a[i__4].r = d__1, a[i__4].i = 0.;
i__4 = j + jb - jj;
i__5 = k - 1;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__4, &i__5, &z__1, &a[jj + a_dim1], lda, &w[jj + w_dim1],
ldw, &c_b1, &a[jj + jj * a_dim1], &c__1, (ftnlen)12);
i__4 = jj + jj * a_dim1;
i__5 = jj + jj * a_dim1;
d__1 = a[i__5].r;
a[i__4].r = d__1, a[i__4].i = 0.;
}
if (j + jb <= *n) {
i__3 = *n - j - jb + 1;
i__4 = k - 1;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"No transpose", (char *)"Transpose", &i__3, &jb, &i__4, &z__1, &a[j + jb + a_dim1],
lda, &w[j + w_dim1], ldw, &c_b1, &a[j + jb + j * a_dim1], lda, (ftnlen)12,
(ftnlen)9);
}
}
i__1 = *n - k + 1;
i__2 = k - 1;
z__1.r = -1., z__1.i = -0.;
zgemmtr_((char *)"L", (char *)"N", (char *)"T", &i__1, &i__2, &z__1, &a[k + a_dim1], lda, &w[k + w_dim1], ldw,
&c_b1, &a[k + k * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1);
j = k - 1;
L120:
jj = j;

8
lib/linalg/zlarf.cpp
View File

@ -54,15 +54,15 @@ int zlarf_(char *side, integer *m, integer *n, doublecomplex *v, integer *incv,
}
if (applyleft) {
if (lastv > 0) {
zgemv_((char *)"Conjugate transpose", &lastv, &lastc, &c_b1, &c__[c_offset], ldc, &v[1], incv,
&c_b2, &work[1], &c__1, (ftnlen)19);
zgemv_((char *)"C", &lastv, &lastc, &c_b1, &c__[c_offset], ldc, &v[1], incv, &c_b2, &work[1],
&c__1, (ftnlen)1);
z__1.r = -tau->r, z__1.i = -tau->i;
zgerc_(&lastv, &lastc, &z__1, &v[1], incv, &work[1], &c__1, &c__[c_offset], ldc);
}
} else {
if (lastv > 0) {
zgemv_((char *)"No transpose", &lastc, &lastv, &c_b1, &c__[c_offset], ldc, &v[1], incv, &c_b2,
&work[1], &c__1, (ftnlen)12);
zgemv_((char *)"N", &lastc, &lastv, &c_b1, &c__[c_offset], ldc, &v[1], incv, &c_b2, &work[1],
&c__1, (ftnlen)1);
z__1.r = -tau->r, z__1.i = -tau->i;
zgerc_(&lastc, &lastv, &z__1, &work[1], &c__1, &v[1], incv, &c__[c_offset], ldc);
}

115
lib/linalg/zlarf1f.cpp Normal file
View File

@ -0,0 +1,115 @@
#ifdef __cplusplus
extern "C" {
#endif
#include "lmp_f2c.h"
static doublecomplex c_b1 = {1., 0.};
static doublecomplex c_b2 = {0., 0.};
static integer c__1 = 1;
int zlarf1f_(char *side, integer *m, integer *n, doublecomplex *v, integer *incv,
doublecomplex *tau, doublecomplex *c__, integer *ldc, doublecomplex *work,
ftnlen side_len)
{
integer c_dim1, c_offset, i__1, i__2, i__3;
doublecomplex z__1, z__2, z__3;
void d_lmp_cnjg(doublecomplex *, doublecomplex *);
integer i__;
logical applyleft;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer lastc;
extern int zgerc_(integer *, integer *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *),
zscal_(integer *, doublecomplex *, doublecomplex *, integer *),
zgemv_(char *, integer *, integer *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *, ftnlen);
integer lastv;
extern int zaxpy_(integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *,
integer *);
extern integer ilazlc_(integer *, integer *, doublecomplex *, integer *),
ilazlr_(integer *, integer *, doublecomplex *, integer *);
--v;
c_dim1 = *ldc;
c_offset = 1 + c_dim1;
c__ -= c_offset;
--work;
applyleft = lsame_(side, (char *)"L", (ftnlen)1, (ftnlen)1);
lastv = 1;
lastc = 0;
if (tau->r != 0. || tau->i != 0.) {
if (applyleft) {
lastv = *m;
} else {
lastv = *n;
}
if (*incv > 0) {
i__ = (lastv - 1) * *incv + 1;
} else {
i__ = 1;
}
for (;;) {
i__1 = i__;
if (!(lastv > 1 && (v[i__1].r == 0. && v[i__1].i == 0.))) break;
--lastv;
i__ -= *incv;
}
if (applyleft) {
lastc = ilazlc_(&lastv, n, &c__[c_offset], ldc);
} else {
lastc = ilazlr_(m, &lastv, &c__[c_offset], ldc);
}
}
if (lastc == 0) {
return 0;
}
if (applyleft) {
if (lastv == 1) {
z__1.r = 1. - tau->r, z__1.i = 0. - tau->i;
zscal_(&lastc, &z__1, &c__[c_offset], ldc);
} else {
i__1 = lastv - 1;
zgemv_((char *)"C", &i__1, &lastc, &c_b1, &c__[c_dim1 + 2], ldc, &v[*incv + 1], incv, &c_b2,
&work[1], &c__1, (ftnlen)1);
i__1 = lastc;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__;
i__3 = i__;
d_lmp_cnjg(&z__2, &c__[i__ * c_dim1 + 1]);
z__1.r = work[i__3].r + z__2.r, z__1.i = work[i__3].i + z__2.i;
work[i__2].r = z__1.r, work[i__2].i = z__1.i;
}
i__1 = lastc;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__ * c_dim1 + 1;
i__3 = i__ * c_dim1 + 1;
d_lmp_cnjg(&z__3, &work[i__]);
z__2.r = tau->r * z__3.r - tau->i * z__3.i,
z__2.i = tau->r * z__3.i + tau->i * z__3.r;
z__1.r = c__[i__3].r - z__2.r, z__1.i = c__[i__3].i - z__2.i;
c__[i__2].r = z__1.r, c__[i__2].i = z__1.i;
}
i__1 = lastv - 1;
z__1.r = -tau->r, z__1.i = -tau->i;
zgerc_(&i__1, &lastc, &z__1, &v[*incv + 1], incv, &work[1], &c__1, &c__[c_dim1 + 2],
ldc);
}
} else {
if (lastv == 1) {
z__1.r = 1. - tau->r, z__1.i = 0. - tau->i;
zscal_(&lastc, &z__1, &c__[c_offset], &c__1);
} else {
i__1 = lastv - 1;
zgemv_((char *)"N", &lastc, &i__1, &c_b1, &c__[(c_dim1 << 1) + 1], ldc, &v[*incv + 1], incv,
&c_b2, &work[1], &c__1, (ftnlen)1);
zaxpy_(&lastc, &c_b1, &c__[c_offset], &c__1, &work[1], &c__1);
z__1.r = -tau->r, z__1.i = -tau->i;
zaxpy_(&lastc, &z__1, &work[1], &c__1, &c__[c_offset], &c__1);
i__1 = lastv - 1;
z__1.r = -tau->r, z__1.i = -tau->i;
zgerc_(&lastc, &i__1, &z__1, &work[1], &c__1, &v[*incv + 1], incv,
&c__[(c_dim1 << 1) + 1], ldc);
}
}
return 0;
}
#ifdef __cplusplus
}
#endif

112
lib/linalg/zlarf1l.cpp Normal file
View File

@ -0,0 +1,112 @@
#ifdef __cplusplus
extern "C" {
#endif
#include "lmp_f2c.h"
static doublecomplex c_b1 = {1., 0.};
static doublecomplex c_b2 = {0., 0.};
static integer c__1 = 1;
int zlarf1l_(char *side, integer *m, integer *n, doublecomplex *v, integer *incv,
doublecomplex *tau, doublecomplex *c__, integer *ldc, doublecomplex *work,
ftnlen side_len)
{
integer c_dim1, c_offset, i__1, i__2, i__3;
doublecomplex z__1, z__2, z__3;
void d_lmp_cnjg(doublecomplex *, doublecomplex *);
integer i__, j;
logical applyleft;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
integer lastc;
extern int zgerc_(integer *, integer *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *),
zscal_(integer *, doublecomplex *, doublecomplex *, integer *),
zgemv_(char *, integer *, integer *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *, ftnlen);
integer lastv;
extern int zaxpy_(integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *,
integer *);
extern integer ilazlc_(integer *, integer *, doublecomplex *, integer *),
ilazlr_(integer *, integer *, doublecomplex *, integer *);
integer firstv;
--v;
c_dim1 = *ldc;
c_offset = 1 + c_dim1;
c__ -= c_offset;
--work;
applyleft = lsame_(side, (char *)"L", (ftnlen)1, (ftnlen)1);
firstv = 1;
lastc = 0;
if (tau->r != 0. || tau->i != 0.) {
if (applyleft) {
lastv = *m;
} else {
lastv = *n;
}
i__ = 1;
for (;;) {
i__1 = i__;
if (!(lastv > firstv && (v[i__1].r == 0. && v[i__1].i == 0.))) break;
++firstv;
i__ += *incv;
}
if (applyleft) {
lastc = ilazlc_(&lastv, n, &c__[c_offset], ldc);
} else {
lastc = ilazlr_(m, &lastv, &c__[c_offset], ldc);
}
}
if (lastc == 0) {
return 0;
}
if (applyleft) {
if (lastv == firstv) {
z__1.r = 1. - tau->r, z__1.i = 0. - tau->i;
zscal_(&lastc, &z__1, &c__[lastv + c_dim1], ldc);
} else {
i__1 = lastv - firstv;
zgemv_((char *)"C", &i__1, &lastc, &c_b1, &c__[firstv + c_dim1], ldc, &v[i__], incv, &c_b2,
&work[1], &c__1, (ftnlen)1);
i__1 = lastc;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
i__3 = j;
d_lmp_cnjg(&z__2, &c__[lastv + j * c_dim1]);
z__1.r = work[i__3].r + z__2.r, z__1.i = work[i__3].i + z__2.i;
work[i__2].r = z__1.r, work[i__2].i = z__1.i;
}
i__1 = lastc;
for (j = 1; j <= i__1; ++j) {
i__2 = lastv + j * c_dim1;
i__3 = lastv + j * c_dim1;
d_lmp_cnjg(&z__3, &work[j]);
z__2.r = tau->r * z__3.r - tau->i * z__3.i,
z__2.i = tau->r * z__3.i + tau->i * z__3.r;
z__1.r = c__[i__3].r - z__2.r, z__1.i = c__[i__3].i - z__2.i;
c__[i__2].r = z__1.r, c__[i__2].i = z__1.i;
}
i__1 = lastv - firstv;
z__1.r = -tau->r, z__1.i = -tau->i;
zgerc_(&i__1, &lastc, &z__1, &v[i__], incv, &work[1], &c__1, &c__[firstv + c_dim1],
ldc);
}
} else {
if (lastv == firstv) {
z__1.r = 1. - tau->r, z__1.i = 0. - tau->i;
zscal_(&lastc, &z__1, &c__[lastv * c_dim1 + 1], &c__1);
} else {
i__1 = lastv - firstv;
zgemv_((char *)"N", &lastc, &i__1, &c_b1, &c__[firstv * c_dim1 + 1], ldc, &v[i__], incv, &c_b2,
&work[1], &c__1, (ftnlen)1);
zaxpy_(&lastc, &c_b1, &c__[lastv * c_dim1 + 1], &c__1, &work[1], &c__1);
z__1.r = -tau->r, z__1.i = -tau->i;
zaxpy_(&lastc, &z__1, &work[1], &c__1, &c__[lastv * c_dim1 + 1], &c__1);
i__1 = lastv - firstv;
z__1.r = -tau->r, z__1.i = -tau->i;
zgerc_(&lastc, &i__1, &z__1, &work[1], &c__1, &v[i__], incv, &c__[firstv * c_dim1 + 1],
ldc);
}
}
return 0;
}
#ifdef __cplusplus
}
#endif

196
lib/linalg/zlarfb.cpp
View File

@ -52,26 +52,25 @@ int zlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
zcopy_(n, &c__[j + c_dim1], ldc, &work[j * work_dim1 + 1], &c__1);
zlacgv_(n, &work[j * work_dim1 + 1], &c__1);
}
ztrmm_((char *)"Right", (char *)"Lower", (char *)"No transpose", (char *)"Unit", n, k, &c_b1, &v[v_offset], ldv,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)12, (ftnlen)4);
ztrmm_((char *)"R", (char *)"L", (char *)"N", (char *)"U", n, k, &c_b1, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
zgemm_((char *)"Conjugate transpose", (char *)"No transpose", n, k, &i__1, &c_b1,
&c__[*k + 1 + c_dim1], ldc, &v[*k + 1 + v_dim1], ldv, &c_b1,
&work[work_offset], ldwork, (ftnlen)19, (ftnlen)12);
zgemm_((char *)"C", (char *)"N", n, k, &i__1, &c_b1, &c__[*k + 1 + c_dim1], ldc,
&v[*k + 1 + v_dim1], ldv, &c_b1, &work[work_offset], ldwork, (ftnlen)1,
(ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Upper", transt, (char *)"Non-unit", n, k, &c_b1, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
ztrmm_((char *)"R", (char *)"U", transt, (char *)"N", n, k, &c_b1, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"No transpose", (char *)"Conjugate transpose", &i__1, n, k, &z__1,
&v[*k + 1 + v_dim1], ldv, &work[work_offset], ldwork, &c_b1,
&c__[*k + 1 + c_dim1], ldc, (ftnlen)12, (ftnlen)19);
zgemm_((char *)"N", (char *)"C", &i__1, n, k, &z__1, &v[*k + 1 + v_dim1], ldv,
&work[work_offset], ldwork, &c_b1, &c__[*k + 1 + c_dim1], ldc, (ftnlen)1,
(ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Lower", (char *)"Conjugate transpose", (char *)"Unit", n, k, &c_b1, &v[v_offset],
ldv, &work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)19,
(ftnlen)4);
ztrmm_((char *)"R", (char *)"L", (char *)"C", (char *)"U", n, k, &c_b1, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
@ -88,26 +87,25 @@ int zlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
for (j = 1; j <= i__1; ++j) {
zcopy_(m, &c__[j * c_dim1 + 1], &c__1, &work[j * work_dim1 + 1], &c__1);
}
ztrmm_((char *)"Right", (char *)"Lower", (char *)"No transpose", (char *)"Unit", m, k, &c_b1, &v[v_offset], ldv,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)12, (ftnlen)4);
ztrmm_((char *)"R", (char *)"L", (char *)"N", (char *)"U", m, k, &c_b1, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
zgemm_((char *)"No transpose", (char *)"No transpose", m, k, &i__1, &c_b1,
&c__[(*k + 1) * c_dim1 + 1], ldc, &v[*k + 1 + v_dim1], ldv, &c_b1,
&work[work_offset], ldwork, (ftnlen)12, (ftnlen)12);
zgemm_((char *)"N", (char *)"N", m, k, &i__1, &c_b1, &c__[(*k + 1) * c_dim1 + 1], ldc,
&v[*k + 1 + v_dim1], ldv, &c_b1, &work[work_offset], ldwork, (ftnlen)1,
(ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Upper", trans, (char *)"Non-unit", m, k, &c_b1, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
ztrmm_((char *)"R", (char *)"U", trans, (char *)"N", m, k, &c_b1, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"No transpose", (char *)"Conjugate transpose", m, &i__1, k, &z__1,
&work[work_offset], ldwork, &v[*k + 1 + v_dim1], ldv, &c_b1,
&c__[(*k + 1) * c_dim1 + 1], ldc, (ftnlen)12, (ftnlen)19);
zgemm_((char *)"N", (char *)"C", m, &i__1, k, &z__1, &work[work_offset], ldwork,
&v[*k + 1 + v_dim1], ldv, &c_b1, &c__[(*k + 1) * c_dim1 + 1], ldc,
(ftnlen)1, (ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Lower", (char *)"Conjugate transpose", (char *)"Unit", m, k, &c_b1, &v[v_offset],
ldv, &work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)19,
(ftnlen)4);
ztrmm_((char *)"R", (char *)"L", (char *)"C", (char *)"U", m, k, &c_b1, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
@ -127,27 +125,23 @@ int zlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
zcopy_(n, &c__[*m - *k + j + c_dim1], ldc, &work[j * work_dim1 + 1], &c__1);
zlacgv_(n, &work[j * work_dim1 + 1], &c__1);
}
ztrmm_((char *)"Right", (char *)"Upper", (char *)"No transpose", (char *)"Unit", n, k, &c_b1,
&v[*m - *k + 1 + v_dim1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)12, (ftnlen)4);
ztrmm_((char *)"R", (char *)"U", (char *)"N", (char *)"U", n, k, &c_b1, &v[*m - *k + 1 + v_dim1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
zgemm_((char *)"Conjugate transpose", (char *)"No transpose", n, k, &i__1, &c_b1,
&c__[c_offset], ldc, &v[v_offset], ldv, &c_b1, &work[work_offset],
ldwork, (ftnlen)19, (ftnlen)12);
zgemm_((char *)"C", (char *)"N", n, k, &i__1, &c_b1, &c__[c_offset], ldc, &v[v_offset], ldv,
&c_b1, &work[work_offset], ldwork, (ftnlen)1, (ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Lower", transt, (char *)"Non-unit", n, k, &c_b1, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
ztrmm_((char *)"R", (char *)"L", transt, (char *)"N", n, k, &c_b1, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"No transpose", (char *)"Conjugate transpose", &i__1, n, k, &z__1, &v[v_offset],
ldv, &work[work_offset], ldwork, &c_b1, &c__[c_offset], ldc, (ftnlen)12,
(ftnlen)19);
zgemm_((char *)"N", (char *)"C", &i__1, n, k, &z__1, &v[v_offset], ldv, &work[work_offset],
ldwork, &c_b1, &c__[c_offset], ldc, (ftnlen)1, (ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Upper", (char *)"Conjugate transpose", (char *)"Unit", n, k, &c_b1,
&v[*m - *k + 1 + v_dim1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)19, (ftnlen)4);
ztrmm_((char *)"R", (char *)"U", (char *)"C", (char *)"U", n, k, &c_b1, &v[*m - *k + 1 + v_dim1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
@ -165,27 +159,23 @@ int zlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
zcopy_(m, &c__[(*n - *k + j) * c_dim1 + 1], &c__1, &work[j * work_dim1 + 1],
&c__1);
}
ztrmm_((char *)"Right", (char *)"Upper", (char *)"No transpose", (char *)"Unit", m, k, &c_b1,
&v[*n - *k + 1 + v_dim1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)12, (ftnlen)4);
ztrmm_((char *)"R", (char *)"U", (char *)"N", (char *)"U", m, k, &c_b1, &v[*n - *k + 1 + v_dim1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
zgemm_((char *)"No transpose", (char *)"No transpose", m, k, &i__1, &c_b1, &c__[c_offset], ldc,
&v[v_offset], ldv, &c_b1, &work[work_offset], ldwork, (ftnlen)12,
(ftnlen)12);
zgemm_((char *)"N", (char *)"N", m, k, &i__1, &c_b1, &c__[c_offset], ldc, &v[v_offset], ldv,
&c_b1, &work[work_offset], ldwork, (ftnlen)1, (ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Lower", trans, (char *)"Non-unit", m, k, &c_b1, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
ztrmm_((char *)"R", (char *)"L", trans, (char *)"N", m, k, &c_b1, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"No transpose", (char *)"Conjugate transpose", m, &i__1, k, &z__1,
&work[work_offset], ldwork, &v[v_offset], ldv, &c_b1, &c__[c_offset],
ldc, (ftnlen)12, (ftnlen)19);
zgemm_((char *)"N", (char *)"C", m, &i__1, k, &z__1, &work[work_offset], ldwork, &v[v_offset],
ldv, &c_b1, &c__[c_offset], ldc, (ftnlen)1, (ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Upper", (char *)"Conjugate transpose", (char *)"Unit", m, k, &c_b1,
&v[*n - *k + 1 + v_dim1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)19, (ftnlen)4);
ztrmm_((char *)"R", (char *)"U", (char *)"C", (char *)"U", m, k, &c_b1, &v[*n - *k + 1 + v_dim1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
@ -207,26 +197,25 @@ int zlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
zcopy_(n, &c__[j + c_dim1], ldc, &work[j * work_dim1 + 1], &c__1);
zlacgv_(n, &work[j * work_dim1 + 1], &c__1);
}
ztrmm_((char *)"Right", (char *)"Upper", (char *)"Conjugate transpose", (char *)"Unit", n, k, &c_b1, &v[v_offset],
ldv, &work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)19,
(ftnlen)4);
ztrmm_((char *)"R", (char *)"U", (char *)"C", (char *)"U", n, k, &c_b1, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
zgemm_((char *)"Conjugate transpose", (char *)"Conjugate transpose", n, k, &i__1, &c_b1,
&c__[*k + 1 + c_dim1], ldc, &v[(*k + 1) * v_dim1 + 1], ldv, &c_b1,
&work[work_offset], ldwork, (ftnlen)19, (ftnlen)19);
zgemm_((char *)"C", (char *)"C", n, k, &i__1, &c_b1, &c__[*k + 1 + c_dim1], ldc,
&v[(*k + 1) * v_dim1 + 1], ldv, &c_b1, &work[work_offset], ldwork,
(ftnlen)1, (ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Upper", transt, (char *)"Non-unit", n, k, &c_b1, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
ztrmm_((char *)"R", (char *)"U", transt, (char *)"N", n, k, &c_b1, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"Conjugate transpose", (char *)"Conjugate transpose", &i__1, n, k, &z__1,
&v[(*k + 1) * v_dim1 + 1], ldv, &work[work_offset], ldwork, &c_b1,
&c__[*k + 1 + c_dim1], ldc, (ftnlen)19, (ftnlen)19);
zgemm_((char *)"C", (char *)"C", &i__1, n, k, &z__1, &v[(*k + 1) * v_dim1 + 1], ldv,
&work[work_offset], ldwork, &c_b1, &c__[*k + 1 + c_dim1], ldc, (ftnlen)1,
(ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Upper", (char *)"No transpose", (char *)"Unit", n, k, &c_b1, &v[v_offset], ldv,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)12, (ftnlen)4);
ztrmm_((char *)"R", (char *)"U", (char *)"N", (char *)"U", n, k, &c_b1, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
@ -243,26 +232,25 @@ int zlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
for (j = 1; j <= i__1; ++j) {
zcopy_(m, &c__[j * c_dim1 + 1], &c__1, &work[j * work_dim1 + 1], &c__1);
}
ztrmm_((char *)"Right", (char *)"Upper", (char *)"Conjugate transpose", (char *)"Unit", m, k, &c_b1, &v[v_offset],
ldv, &work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)19,
(ftnlen)4);
ztrmm_((char *)"R", (char *)"U", (char *)"C", (char *)"U", m, k, &c_b1, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
zgemm_((char *)"No transpose", (char *)"Conjugate transpose", m, k, &i__1, &c_b1,
&c__[(*k + 1) * c_dim1 + 1], ldc, &v[(*k + 1) * v_dim1 + 1], ldv, &c_b1,
&work[work_offset], ldwork, (ftnlen)12, (ftnlen)19);
zgemm_((char *)"N", (char *)"C", m, k, &i__1, &c_b1, &c__[(*k + 1) * c_dim1 + 1], ldc,
&v[(*k + 1) * v_dim1 + 1], ldv, &c_b1, &work[work_offset], ldwork,
(ftnlen)1, (ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Upper", trans, (char *)"Non-unit", m, k, &c_b1, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
ztrmm_((char *)"R", (char *)"U", trans, (char *)"N", m, k, &c_b1, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"No transpose", (char *)"No transpose", m, &i__1, k, &z__1, &work[work_offset],
ldwork, &v[(*k + 1) * v_dim1 + 1], ldv, &c_b1,
&c__[(*k + 1) * c_dim1 + 1], ldc, (ftnlen)12, (ftnlen)12);
zgemm_((char *)"N", (char *)"N", m, &i__1, k, &z__1, &work[work_offset], ldwork,
&v[(*k + 1) * v_dim1 + 1], ldv, &c_b1, &c__[(*k + 1) * c_dim1 + 1], ldc,
(ftnlen)1, (ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Upper", (char *)"No transpose", (char *)"Unit", m, k, &c_b1, &v[v_offset], ldv,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)12, (ftnlen)4);
ztrmm_((char *)"R", (char *)"U", (char *)"N", (char *)"U", m, k, &c_b1, &v[v_offset], ldv, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
@ -282,27 +270,23 @@ int zlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
zcopy_(n, &c__[*m - *k + j + c_dim1], ldc, &work[j * work_dim1 + 1], &c__1);
zlacgv_(n, &work[j * work_dim1 + 1], &c__1);
}
ztrmm_((char *)"Right", (char *)"Lower", (char *)"Conjugate transpose", (char *)"Unit", n, k, &c_b1,
&v[(*m - *k + 1) * v_dim1 + 1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)19, (ftnlen)4);
ztrmm_((char *)"R", (char *)"L", (char *)"C", (char *)"U", n, k, &c_b1, &v[(*m - *k + 1) * v_dim1 + 1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
zgemm_((char *)"Conjugate transpose", (char *)"Conjugate transpose", n, k, &i__1, &c_b1,
&c__[c_offset], ldc, &v[v_offset], ldv, &c_b1, &work[work_offset],
ldwork, (ftnlen)19, (ftnlen)19);
zgemm_((char *)"C", (char *)"C", n, k, &i__1, &c_b1, &c__[c_offset], ldc, &v[v_offset], ldv,
&c_b1, &work[work_offset], ldwork, (ftnlen)1, (ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Lower", transt, (char *)"Non-unit", n, k, &c_b1, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
ztrmm_((char *)"R", (char *)"L", transt, (char *)"N", n, k, &c_b1, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*m > *k) {
i__1 = *m - *k;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"Conjugate transpose", (char *)"Conjugate transpose", &i__1, n, k, &z__1,
&v[v_offset], ldv, &work[work_offset], ldwork, &c_b1, &c__[c_offset],
ldc, (ftnlen)19, (ftnlen)19);
zgemm_((char *)"C", (char *)"C", &i__1, n, k, &z__1, &v[v_offset], ldv, &work[work_offset],
ldwork, &c_b1, &c__[c_offset], ldc, (ftnlen)1, (ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Lower", (char *)"No transpose", (char *)"Unit", n, k, &c_b1,
&v[(*m - *k + 1) * v_dim1 + 1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)12, (ftnlen)4);
ztrmm_((char *)"R", (char *)"L", (char *)"N", (char *)"U", n, k, &c_b1, &v[(*m - *k + 1) * v_dim1 + 1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
@ -320,27 +304,23 @@ int zlarfb_(char *side, char *trans, char *direct, char *storev, integer *m, int
zcopy_(m, &c__[(*n - *k + j) * c_dim1 + 1], &c__1, &work[j * work_dim1 + 1],
&c__1);
}
ztrmm_((char *)"Right", (char *)"Lower", (char *)"Conjugate transpose", (char *)"Unit", m, k, &c_b1,
&v[(*n - *k + 1) * v_dim1 + 1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)19, (ftnlen)4);
ztrmm_((char *)"R", (char *)"L", (char *)"C", (char *)"U", m, k, &c_b1, &v[(*n - *k + 1) * v_dim1 + 1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
zgemm_((char *)"No transpose", (char *)"Conjugate transpose", m, k, &i__1, &c_b1,
&c__[c_offset], ldc, &v[v_offset], ldv, &c_b1, &work[work_offset],
ldwork, (ftnlen)12, (ftnlen)19);
zgemm_((char *)"N", (char *)"C", m, k, &i__1, &c_b1, &c__[c_offset], ldc, &v[v_offset], ldv,
&c_b1, &work[work_offset], ldwork, (ftnlen)1, (ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Lower", trans, (char *)"Non-unit", m, k, &c_b1, &t[t_offset], ldt,
&work[work_offset], ldwork, (ftnlen)5, (ftnlen)5, (ftnlen)1, (ftnlen)8);
ztrmm_((char *)"R", (char *)"L", trans, (char *)"N", m, k, &c_b1, &t[t_offset], ldt, &work[work_offset],
ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
if (*n > *k) {
i__1 = *n - *k;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"No transpose", (char *)"No transpose", m, &i__1, k, &z__1, &work[work_offset],
ldwork, &v[v_offset], ldv, &c_b1, &c__[c_offset], ldc, (ftnlen)12,
(ftnlen)12);
zgemm_((char *)"N", (char *)"N", m, &i__1, k, &z__1, &work[work_offset], ldwork, &v[v_offset],
ldv, &c_b1, &c__[c_offset], ldc, (ftnlen)1, (ftnlen)1);
}
ztrmm_((char *)"Right", (char *)"Lower", (char *)"No transpose", (char *)"Unit", m, k, &c_b1,
&v[(*n - *k + 1) * v_dim1 + 1], ldv, &work[work_offset], ldwork, (ftnlen)5,
(ftnlen)5, (ftnlen)12, (ftnlen)4);
ztrmm_((char *)"R", (char *)"L", (char *)"N", (char *)"U", m, k, &c_b1, &v[(*n - *k + 1) * v_dim1 + 1], ldv,
&work[work_offset], ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *k;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;

80
lib/linalg/zlasyf.cpp
View File

@ -7,20 +7,17 @@ static integer c__1 = 1;
int zlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a, integer *lda,
integer *ipiv, doublecomplex *w, integer *ldw, integer *info, ftnlen uplo_len)
{
integer a_dim1, a_offset, w_dim1, w_offset, i__1, i__2, i__3, i__4, i__5;
integer a_dim1, a_offset, w_dim1, w_offset, i__1, i__2, i__3, i__4;
doublereal d__1, d__2, d__3, d__4;
doublecomplex z__1, z__2, z__3;
double sqrt(doublereal), d_lmp_imag(doublecomplex *);
void z_lmp_div(doublecomplex *, doublecomplex *, doublecomplex *);
integer j, k;
doublecomplex t, r1, d11, d21, d22;
integer jb, jj, kk, jp, kp, kw, kkw, imax, jmax;
integer jj, kk, jp, kp, kw, kkw, imax, jmax;
doublereal alpha;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern int zscal_(integer *, doublecomplex *, doublecomplex *, integer *),
zgemm_(char *, char *, integer *, integer *, integer *, doublecomplex *, doublecomplex *,
integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *,
ftnlen, ftnlen);
extern int zscal_(integer *, doublecomplex *, doublecomplex *, integer *);
integer kstep;
extern int zgemv_(char *, integer *, integer *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *,
@ -30,6 +27,9 @@ int zlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
doublereal absakk, colmax;
extern integer izamax_(integer *, doublecomplex *, integer *);
doublereal rowmax;
extern int zgemmtr_(char *, char *, char *, integer *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, ftnlen, ftnlen, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -50,8 +50,8 @@ int zlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
if (k < *n) {
i__1 = *n - k;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &k, &i__1, &z__1, &a[(k + 1) * a_dim1 + 1], lda,
&w[k + (kw + 1) * w_dim1], ldw, &c_b1, &w[kw * w_dim1 + 1], &c__1, (ftnlen)12);
zgemv_((char *)"N", &k, &i__1, &z__1, &a[(k + 1) * a_dim1 + 1], lda, &w[k + (kw + 1) * w_dim1],
ldw, &c_b1, &w[kw * w_dim1 + 1], &c__1, (ftnlen)1);
}
kstep = 1;
i__1 = k + kw * w_dim1;
@ -81,9 +81,9 @@ int zlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
if (k < *n) {
i__1 = *n - k;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &k, &i__1, &z__1, &a[(k + 1) * a_dim1 + 1], lda,
zgemv_((char *)"N", &k, &i__1, &z__1, &a[(k + 1) * a_dim1 + 1], lda,
&w[imax + (kw + 1) * w_dim1], ldw, &c_b1, &w[(kw - 1) * w_dim1 + 1],
&c__1, (ftnlen)12);
&c__1, (ftnlen)1);
}
i__1 = k - imax;
jmax = imax + izamax_(&i__1, &w[imax + 1 + (kw - 1) * w_dim1], &c__1);
@ -194,26 +194,11 @@ int zlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
k -= kstep;
goto L10;
L30:
i__1 = -(*nb);
for (j = (k - 1) / *nb * *nb + 1; i__1 < 0 ? j >= 1 : j <= 1; j += i__1) {
i__2 = *nb, i__3 = k - j + 1;
jb = min(i__2, i__3);
i__2 = j + jb - 1;
for (jj = j; jj <= i__2; ++jj) {
i__3 = jj - j + 1;
i__4 = *n - k;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__3, &i__4, &z__1, &a[j + (k + 1) * a_dim1], lda,
&w[jj + (kw + 1) * w_dim1], ldw, &c_b1, &a[j + jj * a_dim1], &c__1,
(ftnlen)12);
}
i__2 = j - 1;
i__3 = *n - k;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"No transpose", (char *)"Transpose", &i__2, &jb, &i__3, &z__1, &a[(k + 1) * a_dim1 + 1],
lda, &w[j + (kw + 1) * w_dim1], ldw, &c_b1, &a[j * a_dim1 + 1], lda, (ftnlen)12,
(ftnlen)9);
}
i__1 = *n - k;
z__1.r = -1., z__1.i = -0.;
zgemmtr_((char *)"U", (char *)"N", (char *)"T", &k, &i__1, &z__1, &a[(k + 1) * a_dim1 + 1], lda,
&w[(kw + 1) * w_dim1 + 1], ldw, &c_b1, &a[a_dim1 + 1], lda, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
j = k + 1;
L60:
jj = j;
@ -242,8 +227,8 @@ int zlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
i__1 = *n - k + 1;
i__2 = k - 1;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__1, &i__2, &z__1, &a[k + a_dim1], lda, &w[k + w_dim1], ldw, &c_b1,
&w[k + k * w_dim1], &c__1, (ftnlen)12);
zgemv_((char *)"N", &i__1, &i__2, &z__1, &a[k + a_dim1], lda, &w[k + w_dim1], ldw, &c_b1,
&w[k + k * w_dim1], &c__1, (ftnlen)1);
kstep = 1;
i__1 = k + k * w_dim1;
absakk = (d__1 = w[i__1].r, abs(d__1)) + (d__2 = d_lmp_imag(&w[k + k * w_dim1]), abs(d__2));
@ -272,8 +257,8 @@ int zlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
i__1 = *n - k + 1;
i__2 = k - 1;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__1, &i__2, &z__1, &a[k + a_dim1], lda, &w[imax + w_dim1],
ldw, &c_b1, &w[k + (k + 1) * w_dim1], &c__1, (ftnlen)12);
zgemv_((char *)"N", &i__1, &i__2, &z__1, &a[k + a_dim1], lda, &w[imax + w_dim1], ldw, &c_b1,
&w[k + (k + 1) * w_dim1], &c__1, (ftnlen)1);
i__1 = imax - k;
jmax = k - 1 + izamax_(&i__1, &w[k + (k + 1) * w_dim1], &c__1);
i__1 = jmax + (k + 1) * w_dim1;
@ -385,28 +370,11 @@ int zlasyf_(char *uplo, integer *n, integer *nb, integer *kb, doublecomplex *a,
k += kstep;
goto L70;
L90:
i__1 = *n;
i__2 = *nb;
for (j = k; i__2 < 0 ? j >= i__1 : j <= i__1; j += i__2) {
i__3 = *nb, i__4 = *n - j + 1;
jb = min(i__3, i__4);
i__3 = j + jb - 1;
for (jj = j; jj <= i__3; ++jj) {
i__4 = j + jb - jj;
i__5 = k - 1;
z__1.r = -1., z__1.i = -0.;
zgemv_((char *)"No transpose", &i__4, &i__5, &z__1, &a[jj + a_dim1], lda, &w[jj + w_dim1],
ldw, &c_b1, &a[jj + jj * a_dim1], &c__1, (ftnlen)12);
}
if (j + jb <= *n) {
i__3 = *n - j - jb + 1;
i__4 = k - 1;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"No transpose", (char *)"Transpose", &i__3, &jb, &i__4, &z__1, &a[j + jb + a_dim1],
lda, &w[j + w_dim1], ldw, &c_b1, &a[j + jb + j * a_dim1], lda, (ftnlen)12,
(ftnlen)9);
}
}
i__1 = *n - k + 1;
i__2 = k - 1;
z__1.r = -1., z__1.i = -0.;
zgemmtr_((char *)"L", (char *)"N", (char *)"T", &i__1, &i__2, &z__1, &a[k + a_dim1], lda, &w[k + w_dim1], ldw,
&c_b1, &a[k + k * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1);
j = k - 1;
L120:
jj = j;

62
lib/linalg/zlatrd.cpp
View File

@ -49,18 +49,18 @@ int zlatrd_(char *uplo, integer *n, integer *nb, doublecomplex *a, integer *lda,
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,
zgemv_((char *)"N", &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);
(ftnlen)1);
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,
zgemv_((char *)"N", &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);
(ftnlen)1);
i__2 = *n - i__;
zlacgv_(&i__2, &a[i__ + (i__ + 1) * a_dim1], lda);
i__2 = i__ + i__ * a_dim1;
@ -77,31 +77,31 @@ int zlatrd_(char *uplo, integer *n, integer *nb, doublecomplex *a, integer *lda,
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);
zhemv_((char *)"U", &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)1);
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);
zgemv_((char *)"C", &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)1);
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,
zgemv_((char *)"N", &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);
(ftnlen)1);
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);
zgemv_((char *)"C", &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)1);
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,
zgemv_((char *)"N", &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);
(ftnlen)1);
}
i__2 = i__ - 1;
zscal_(&i__2, &tau[i__ - 1], &w[iw * w_dim1 + 1], &c__1);
@ -130,8 +130,8 @@ int zlatrd_(char *uplo, integer *n, integer *nb, doublecomplex *a, integer *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, &a[i__ + a_dim1], lda, &w[i__ + w_dim1],
ldw, &c_b2, &a[i__ + i__ * a_dim1], &c__1, (ftnlen)12);
zgemv_((char *)"N", &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)1);
i__2 = i__ - 1;
zlacgv_(&i__2, &w[i__ + w_dim1], ldw);
i__2 = i__ - 1;
@ -139,8 +139,8 @@ int zlatrd_(char *uplo, integer *n, integer *nb, doublecomplex *a, integer *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);
zgemv_((char *)"N", &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)1);
i__2 = i__ - 1;
zlacgv_(&i__2, &a[i__ + a_dim1], lda);
i__2 = i__ + i__ * a_dim1;
@ -157,31 +157,29 @@ int zlatrd_(char *uplo, integer *n, integer *nb, doublecomplex *a, integer *lda,
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,
zhemv_((char *)"L", &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);
(ftnlen)1);
i__2 = *n - i__;
i__3 = i__ - 1;
zgemv_((char *)"Conjugate transpose", &i__2, &i__3, &c_b2, &w[i__ + 1 + w_dim1], ldw,
zgemv_((char *)"C", &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);
(ftnlen)1);
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);
zgemv_((char *)"N", &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)1);
i__2 = *n - i__;
i__3 = i__ - 1;
zgemv_((char *)"Conjugate transpose", &i__2, &i__3, &c_b2, &a[i__ + 1 + a_dim1], lda,
zgemv_((char *)"C", &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);
(ftnlen)1);
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);
zgemv_((char *)"N", &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)1);
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.;

8
lib/linalg/zlauu2.cpp
View File

@ -58,9 +58,9 @@ int zlauu2_(char *uplo, integer *n, doublecomplex *a, integer *lda, integer *inf
i__2 = i__ - 1;
i__3 = *n - i__;
z__1.r = aii, z__1.i = 0.;
zgemv_((char *)"No transpose", &i__2, &i__3, &c_b1, &a[(i__ + 1) * a_dim1 + 1], lda,
zgemv_((char *)"N", &i__2, &i__3, &c_b1, &a[(i__ + 1) * a_dim1 + 1], lda,
&a[i__ + (i__ + 1) * a_dim1], lda, &z__1, &a[i__ * a_dim1 + 1], &c__1,
(ftnlen)12);
(ftnlen)1);
i__2 = *n - i__;
zlacgv_(&i__2, &a[i__ + (i__ + 1) * a_dim1], lda);
} else {
@ -84,8 +84,8 @@ int zlauu2_(char *uplo, integer *n, doublecomplex *a, integer *lda, integer *inf
i__2 = *n - i__;
i__3 = i__ - 1;
z__1.r = aii, z__1.i = 0.;
zgemv_((char *)"Conjugate transpose", &i__2, &i__3, &c_b1, &a[i__ + 1 + a_dim1], lda,
&a[i__ + 1 + i__ * a_dim1], &c__1, &z__1, &a[i__ + a_dim1], lda, (ftnlen)19);
zgemv_((char *)"C", &i__2, &i__3, &c_b1, &a[i__ + 1 + a_dim1], lda,
&a[i__ + 1 + i__ * a_dim1], &c__1, &z__1, &a[i__ + a_dim1], lda, (ftnlen)1);
i__2 = i__ - 1;
zlacgv_(&i__2, &a[i__ + a_dim1], lda);
} else {

36
lib/linalg/zlauum.cpp
View File

@ -55,20 +55,18 @@ int zlauum_(char *uplo, integer *n, doublecomplex *a, integer *lda, integer *inf
i__3 = nb, i__4 = *n - i__ + 1;
ib = min(i__3, i__4);
i__3 = i__ - 1;
ztrmm_((char *)"Right", (char *)"Upper", (char *)"Conjugate transpose", (char *)"Non-unit", &i__3, &ib, &c_b1,
&a[i__ + i__ * a_dim1], lda, &a[i__ * a_dim1 + 1], lda, (ftnlen)5, (ftnlen)5,
(ftnlen)19, (ftnlen)8);
zlauu2_((char *)"Upper", &ib, &a[i__ + i__ * a_dim1], lda, info, (ftnlen)5);
ztrmm_((char *)"R", (char *)"U", (char *)"C", (char *)"N", &i__3, &ib, &c_b1, &a[i__ + i__ * a_dim1], lda,
&a[i__ * a_dim1 + 1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
zlauu2_((char *)"U", &ib, &a[i__ + i__ * a_dim1], lda, info, (ftnlen)1);
if (i__ + ib <= *n) {
i__3 = i__ - 1;
i__4 = *n - i__ - ib + 1;
zgemm_((char *)"No transpose", (char *)"Conjugate transpose", &i__3, &ib, &i__4, &c_b1,
&a[(i__ + ib) * a_dim1 + 1], lda, &a[i__ + (i__ + ib) * a_dim1], lda,
&c_b1, &a[i__ * a_dim1 + 1], lda, (ftnlen)12, (ftnlen)19);
zgemm_((char *)"N", (char *)"C", &i__3, &ib, &i__4, &c_b1, &a[(i__ + ib) * a_dim1 + 1], lda,
&a[i__ + (i__ + ib) * a_dim1], lda, &c_b1, &a[i__ * a_dim1 + 1], lda,
(ftnlen)1, (ftnlen)1);
i__3 = *n - i__ - ib + 1;
zherk_((char *)"Upper", (char *)"No transpose", &ib, &i__3, &c_b21,
&a[i__ + (i__ + ib) * a_dim1], lda, &c_b21, &a[i__ + i__ * a_dim1], lda,
(ftnlen)5, (ftnlen)12);
zherk_((char *)"U", (char *)"N", &ib, &i__3, &c_b21, &a[i__ + (i__ + ib) * a_dim1], lda, &c_b21,
&a[i__ + i__ * a_dim1], lda, (ftnlen)1, (ftnlen)1);
}
}
} else {
@ -78,20 +76,18 @@ int zlauum_(char *uplo, integer *n, doublecomplex *a, integer *lda, integer *inf
i__3 = nb, i__4 = *n - i__ + 1;
ib = min(i__3, i__4);
i__3 = i__ - 1;
ztrmm_((char *)"Left", (char *)"Lower", (char *)"Conjugate transpose", (char *)"Non-unit", &ib, &i__3, &c_b1,
&a[i__ + i__ * a_dim1], lda, &a[i__ + a_dim1], lda, (ftnlen)4, (ftnlen)5,
(ftnlen)19, (ftnlen)8);
zlauu2_((char *)"Lower", &ib, &a[i__ + i__ * a_dim1], lda, info, (ftnlen)5);
ztrmm_((char *)"L", (char *)"L", (char *)"C", (char *)"N", &ib, &i__3, &c_b1, &a[i__ + i__ * a_dim1], lda,
&a[i__ + a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
zlauu2_((char *)"L", &ib, &a[i__ + i__ * a_dim1], lda, info, (ftnlen)1);
if (i__ + ib <= *n) {
i__3 = i__ - 1;
i__4 = *n - i__ - ib + 1;
zgemm_((char *)"Conjugate transpose", (char *)"No transpose", &ib, &i__3, &i__4, &c_b1,
&a[i__ + ib + i__ * a_dim1], lda, &a[i__ + ib + a_dim1], lda, &c_b1,
&a[i__ + a_dim1], lda, (ftnlen)19, (ftnlen)12);
zgemm_((char *)"C", (char *)"N", &ib, &i__3, &i__4, &c_b1, &a[i__ + ib + i__ * a_dim1], lda,
&a[i__ + ib + a_dim1], lda, &c_b1, &a[i__ + a_dim1], lda, (ftnlen)1,
(ftnlen)1);
i__3 = *n - i__ - ib + 1;
zherk_((char *)"Lower", (char *)"Conjugate transpose", &ib, &i__3, &c_b21,
&a[i__ + ib + i__ * a_dim1], lda, &c_b21, &a[i__ + i__ * a_dim1], lda,
(ftnlen)5, (ftnlen)19);
zherk_((char *)"L", (char *)"C", &ib, &i__3, &c_b21, &a[i__ + ib + i__ * a_dim1], lda, &c_b21,
&a[i__ + i__ * a_dim1], lda, (ftnlen)1, (ftnlen)1);
}
}
}

36
lib/linalg/zpotrf.cpp
View File

@ -57,9 +57,9 @@ int zpotrf_(char *uplo, integer *n, doublecomplex *a, integer *lda, integer *inf
i__3 = nb, i__4 = *n - j + 1;
jb = min(i__3, i__4);
i__3 = j - 1;
zherk_((char *)"Upper", (char *)"Conjugate transpose", &jb, &i__3, &c_b14, &a[j * a_dim1 + 1], lda,
&c_b15, &a[j + j * a_dim1], lda, (ftnlen)5, (ftnlen)19);
zpotrf2_((char *)"Upper", &jb, &a[j + j * a_dim1], lda, info, (ftnlen)5);
zherk_((char *)"U", (char *)"C", &jb, &i__3, &c_b14, &a[j * a_dim1 + 1], lda, &c_b15,
&a[j + j * a_dim1], lda, (ftnlen)1, (ftnlen)1);
zpotrf2_((char *)"U", &jb, &a[j + j * a_dim1], lda, info, (ftnlen)1);
if (*info != 0) {
goto L30;
}
@ -67,13 +67,13 @@ int zpotrf_(char *uplo, integer *n, doublecomplex *a, integer *lda, integer *inf
i__3 = *n - j - jb + 1;
i__4 = j - 1;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"Conjugate transpose", (char *)"No transpose", &jb, &i__3, &i__4, &z__1,
&a[j * a_dim1 + 1], lda, &a[(j + jb) * a_dim1 + 1], lda, &c_b1,
&a[j + (j + jb) * a_dim1], lda, (ftnlen)19, (ftnlen)12);
zgemm_((char *)"C", (char *)"N", &jb, &i__3, &i__4, &z__1, &a[j * a_dim1 + 1], lda,
&a[(j + jb) * a_dim1 + 1], lda, &c_b1, &a[j + (j + jb) * a_dim1], lda,
(ftnlen)1, (ftnlen)1);
i__3 = *n - j - jb + 1;
ztrsm_((char *)"Left", (char *)"Upper", (char *)"Conjugate transpose", (char *)"Non-unit", &jb, &i__3, &c_b1,
&a[j + j * a_dim1], lda, &a[j + (j + jb) * a_dim1], lda, (ftnlen)4,
(ftnlen)5, (ftnlen)19, (ftnlen)8);
ztrsm_((char *)"L", (char *)"U", (char *)"C", (char *)"N", &jb, &i__3, &c_b1, &a[j + j * a_dim1], lda,
&a[j + (j + jb) * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
}
}
} else {
@ -83,9 +83,9 @@ int zpotrf_(char *uplo, integer *n, doublecomplex *a, integer *lda, integer *inf
i__3 = nb, i__4 = *n - j + 1;
jb = min(i__3, i__4);
i__3 = j - 1;
zherk_((char *)"Lower", (char *)"No transpose", &jb, &i__3, &c_b14, &a[j + a_dim1], lda, &c_b15,
&a[j + j * a_dim1], lda, (ftnlen)5, (ftnlen)12);
zpotrf2_((char *)"Lower", &jb, &a[j + j * a_dim1], lda, info, (ftnlen)5);
zherk_((char *)"L", (char *)"N", &jb, &i__3, &c_b14, &a[j + a_dim1], lda, &c_b15,
&a[j + j * a_dim1], lda, (ftnlen)1, (ftnlen)1);
zpotrf2_((char *)"L", &jb, &a[j + j * a_dim1], lda, info, (ftnlen)1);
if (*info != 0) {
goto L30;
}
@ -93,13 +93,13 @@ int zpotrf_(char *uplo, integer *n, doublecomplex *a, integer *lda, integer *inf
i__3 = *n - j - jb + 1;
i__4 = j - 1;
z__1.r = -1., z__1.i = -0.;
zgemm_((char *)"No transpose", (char *)"Conjugate transpose", &i__3, &jb, &i__4, &z__1,
&a[j + jb + a_dim1], lda, &a[j + a_dim1], lda, &c_b1,
&a[j + jb + j * a_dim1], lda, (ftnlen)12, (ftnlen)19);
zgemm_((char *)"N", (char *)"C", &i__3, &jb, &i__4, &z__1, &a[j + jb + a_dim1], lda,
&a[j + a_dim1], lda, &c_b1, &a[j + jb + j * a_dim1], lda, (ftnlen)1,
(ftnlen)1);
i__3 = *n - j - jb + 1;
ztrsm_((char *)"Right", (char *)"Lower", (char *)"Conjugate transpose", (char *)"Non-unit", &i__3, &jb, &c_b1,
&a[j + j * a_dim1], lda, &a[j + jb + j * a_dim1], lda, (ftnlen)5,
(ftnlen)5, (ftnlen)19, (ftnlen)8);
ztrsm_((char *)"R", (char *)"L", (char *)"C", (char *)"N", &i__3, &jb, &c_b1, &a[j + j * a_dim1], lda,
&a[j + jb + j * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
}
}
}

2
lib/linalg/zpotri.cpp
View File

@ -28,7 +28,7 @@ int zpotri_(char *uplo, integer *n, doublecomplex *a, integer *lda, integer *inf
if (*n == 0) {
return 0;
}
ztrtri_(uplo, (char *)"Non-unit", n, &a[a_offset], lda, info, (ftnlen)1, (ftnlen)8);
ztrtri_(uplo, (char *)"N", n, &a[a_offset], lda, info, (ftnlen)1, (ftnlen)1);
if (*info > 0) {
return 0;
}

6
lib/linalg/zpptrf.cpp
View File

@ -46,8 +46,8 @@ int zpptrf_(char *uplo, integer *n, doublecomplex *ap, integer *info, ftnlen upl
jj += j;
if (j > 1) {
i__2 = j - 1;
ztpsv_((char *)"Upper", (char *)"Conjugate transpose", (char *)"Non-unit", &i__2, &ap[1], &ap[jc], &c__1,
(ftnlen)5, (ftnlen)19, (ftnlen)8);
ztpsv_((char *)"U", (char *)"C", (char *)"N", &i__2, &ap[1], &ap[jc], &c__1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
}
i__2 = jj;
i__3 = j - 1;
@ -81,7 +81,7 @@ int zpptrf_(char *uplo, integer *n, doublecomplex *ap, integer *info, ftnlen upl
d__1 = 1. / ajj;
zdscal_(&i__2, &d__1, &ap[jj + 1], &c__1);
i__2 = *n - j;
zhpr_((char *)"Lower", &i__2, &c_b16, &ap[jj + 1], &c__1, &ap[jj + *n - j + 1], (ftnlen)5);
zhpr_((char *)"L", &i__2, &c_b16, &ap[jj + 1], &c__1, &ap[jj + *n - j + 1], (ftnlen)1);
jj = jj + *n - j + 1;
}
}

8
lib/linalg/zpptri.cpp
View File

@ -39,7 +39,7 @@ int zpptri_(char *uplo, integer *n, doublecomplex *ap, integer *info, ftnlen upl
if (*n == 0) {
return 0;
}
ztptri_(uplo, (char *)"Non-unit", n, &ap[1], info, (ftnlen)1, (ftnlen)8);
ztptri_(uplo, (char *)"N", n, &ap[1], info, (ftnlen)1, (ftnlen)1);
if (*info > 0) {
return 0;
}
@ -51,7 +51,7 @@ int zpptri_(char *uplo, integer *n, doublecomplex *ap, integer *info, ftnlen upl
jj += j;
if (j > 1) {
i__2 = j - 1;
zhpr_((char *)"Upper", &i__2, &c_b8, &ap[jc], &c__1, &ap[1], (ftnlen)5);
zhpr_((char *)"U", &i__2, &c_b8, &ap[jc], &c__1, &ap[1], (ftnlen)1);
}
i__2 = jj;
ajj = ap[i__2].r;
@ -69,8 +69,8 @@ int zpptri_(char *uplo, integer *n, doublecomplex *ap, integer *info, ftnlen upl
ap[i__2].r = d__1, ap[i__2].i = 0.;
if (j < *n) {
i__2 = *n - j;
ztpmv_((char *)"Lower", (char *)"Conjugate transpose", (char *)"Non-unit", &i__2, &ap[jjn], &ap[jj + 1],
&c__1, (ftnlen)5, (ftnlen)19, (ftnlen)8);
ztpmv_((char *)"L", (char *)"C", (char *)"N", &i__2, &ap[jjn], &ap[jj + 1], &c__1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
}
jj = jjn;
}

6
lib/linalg/zstedc.cpp
View File

@ -107,7 +107,7 @@ int zstedc_(char *compz, integer *n, doublereal *d__, doublereal *e, doublecompl
liwmin = *n * 5 + 3;
}
work[1].r = (doublereal)lwmin, work[1].i = 0.;
rwork[1] = (doublereal)lrwmin;
rwork[1] = (real)lrwmin;
iwork[1] = liwmin;
if (*lwork < lwmin && !lquery) {
*info = -8;
@ -142,7 +142,7 @@ int zstedc_(char *compz, integer *n, doublereal *d__, doublereal *e, doublecompl
zsteqr_(compz, n, &d__[1], &e[1], &z__[z_offset], ldz, &rwork[1], info, (ftnlen)1);
} else {
if (icompz == 2) {
dlaset_((char *)"Full", n, n, &c_b17, &c_b18, &rwork[1], n, (ftnlen)4);
dlaset_((char *)"F", n, n, &c_b17, &c_b18, &rwork[1], n, (ftnlen)1);
ll = *n * *n + 1;
i__1 = *lrwork - ll + 1;
dstedc_((char *)"I", n, &d__[1], &e[1], &rwork[1], n, &rwork[ll], &i__1, &iwork[1], liwork,
@ -228,7 +228,7 @@ int zstedc_(char *compz, integer *n, doublereal *d__, doublereal *e, doublecompl
}
L70:
work[1].r = (doublereal)lwmin, work[1].i = 0.;
rwork[1] = (doublereal)lrwmin;
rwork[1] = (real)lrwmin;
iwork[1] = liwmin;
return 0;
}

2
lib/linalg/zsteqr.cpp
View File

@ -93,7 +93,7 @@ int zsteqr_(char *compz, integer *n, doublereal *d__, doublereal *e, doublecompl
ssfmax = sqrt(safmax) / 3.;
ssfmin = sqrt(safmin) / eps2;
if (icompz == 2) {
zlaset_((char *)"Full", n, n, &c_b1, &c_b2, &z__[z_offset], ldz, (ftnlen)4);
zlaset_((char *)"F", n, n, &c_b1, &c_b2, &z__[z_offset], ldz, (ftnlen)1);
}
nmaxit = *n * 30;
jtot = 0;

3
lib/linalg/zsytrf.cpp
View File

@ -41,7 +41,8 @@ int zsytrf_(char *uplo, integer *n, doublecomplex *a, integer *lda, integer *ipi
}
if (*info == 0) {
nb = ilaenv_(&c__1, (char *)"ZSYTRF", uplo, n, &c_n1, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
lwkopt = *n * nb;
i__1 = 1, i__2 = *n * nb;
lwkopt = max(i__1, i__2);
work[1].r = (doublereal)lwkopt, work[1].i = 0.;
}
if (*info != 0) {

7
lib/linalg/ztptri.cpp
View File

@ -76,8 +76,7 @@ int ztptri_(char *uplo, char *diag, integer *n, doublecomplex *ap, integer *info
ajj.r = z__1.r, ajj.i = z__1.i;
}
i__2 = j - 1;
ztpmv_((char *)"Upper", (char *)"No transpose", diag, &i__2, &ap[1], &ap[jc], &c__1, (ftnlen)5,
(ftnlen)12, (ftnlen)1);
ztpmv_((char *)"U", (char *)"N", diag, &i__2, &ap[1], &ap[jc], &c__1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__2 = j - 1;
zscal_(&i__2, &ajj, &ap[jc], &c__1);
jc += j;
@ -98,8 +97,8 @@ int ztptri_(char *uplo, char *diag, integer *n, doublecomplex *ap, integer *info
}
if (j < *n) {
i__1 = *n - j;
ztpmv_((char *)"Lower", (char *)"No transpose", diag, &i__1, &ap[jclast], &ap[jc + 1], &c__1,
(ftnlen)5, (ftnlen)12, (ftnlen)1);
ztpmv_((char *)"L", (char *)"N", diag, &i__1, &ap[jclast], &ap[jc + 1], &c__1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
i__1 = *n - j;
zscal_(&i__1, &ajj, &ap[jc + 1], &c__1);
}

8
lib/linalg/ztrti2.cpp
View File

@ -54,8 +54,8 @@ int ztrti2_(char *uplo, char *diag, integer *n, doublecomplex *a, integer *lda,
ajj.r = z__1.r, ajj.i = z__1.i;
}
i__2 = j - 1;
ztrmv_((char *)"Upper", (char *)"No transpose", diag, &i__2, &a[a_offset], lda, &a[j * a_dim1 + 1],
&c__1, (ftnlen)5, (ftnlen)12, (ftnlen)1);
ztrmv_((char *)"U", (char *)"N", diag, &i__2, &a[a_offset], lda, &a[j * a_dim1 + 1], &c__1, (ftnlen)1,
(ftnlen)1, (ftnlen)1);
i__2 = j - 1;
zscal_(&i__2, &ajj, &a[j * a_dim1 + 1], &c__1);
}
@ -74,8 +74,8 @@ int ztrti2_(char *uplo, char *diag, integer *n, doublecomplex *a, integer *lda,
}
if (j < *n) {
i__1 = *n - j;
ztrmv_((char *)"Lower", (char *)"No transpose", diag, &i__1, &a[j + 1 + (j + 1) * a_dim1], lda,
&a[j + 1 + j * a_dim1], &c__1, (ftnlen)5, (ftnlen)12, (ftnlen)1);
ztrmv_((char *)"L", (char *)"N", diag, &i__1, &a[j + 1 + (j + 1) * a_dim1], lda,
&a[j + 1 + j * a_dim1], &c__1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__1 = *n - j;
zscal_(&i__1, &ajj, &a[j + 1 + j * a_dim1], &c__1);
}

25
lib/linalg/ztrtri.cpp
View File

@ -75,14 +75,13 @@ int ztrtri_(char *uplo, char *diag, integer *n, doublecomplex *a, integer *lda,
i__4 = nb, i__5 = *n - j + 1;
jb = min(i__4, i__5);
i__4 = j - 1;
ztrmm_((char *)"Left", (char *)"Upper", (char *)"No transpose", diag, &i__4, &jb, &c_b1, &a[a_offset], lda,
&a[j * a_dim1 + 1], lda, (ftnlen)4, (ftnlen)5, (ftnlen)12, (ftnlen)1);
ztrmm_((char *)"L", (char *)"U", (char *)"N", diag, &i__4, &jb, &c_b1, &a[a_offset], lda,
&a[j * a_dim1 + 1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
i__4 = j - 1;
z__1.r = -1., z__1.i = -0.;
ztrsm_((char *)"Right", (char *)"Upper", (char *)"No transpose", diag, &i__4, &jb, &z__1,
&a[j + j * a_dim1], lda, &a[j * a_dim1 + 1], lda, (ftnlen)5, (ftnlen)5,
(ftnlen)12, (ftnlen)1);
ztrti2_((char *)"Upper", diag, &jb, &a[j + j * a_dim1], lda, info, (ftnlen)5, (ftnlen)1);
ztrsm_((char *)"R", (char *)"U", (char *)"N", diag, &i__4, &jb, &z__1, &a[j + j * a_dim1], lda,
&a[j * a_dim1 + 1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
ztrti2_((char *)"U", diag, &jb, &a[j + j * a_dim1], lda, info, (ftnlen)1, (ftnlen)1);
}
} else {
nn = (*n - 1) / nb * nb + 1;
@ -92,16 +91,16 @@ int ztrtri_(char *uplo, char *diag, integer *n, doublecomplex *a, integer *lda,
jb = min(i__1, i__4);
if (j + jb <= *n) {
i__1 = *n - j - jb + 1;
ztrmm_((char *)"Left", (char *)"Lower", (char *)"No transpose", diag, &i__1, &jb, &c_b1,
&a[j + jb + (j + jb) * a_dim1], lda, &a[j + jb + j * a_dim1], lda,
(ftnlen)4, (ftnlen)5, (ftnlen)12, (ftnlen)1);
ztrmm_((char *)"L", (char *)"L", (char *)"N", diag, &i__1, &jb, &c_b1, &a[j + jb + (j + jb) * a_dim1],
lda, &a[j + jb + j * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
i__1 = *n - j - jb + 1;
z__1.r = -1., z__1.i = -0.;
ztrsm_((char *)"Right", (char *)"Lower", (char *)"No transpose", diag, &i__1, &jb, &z__1,
&a[j + j * a_dim1], lda, &a[j + jb + j * a_dim1], lda, (ftnlen)5,
(ftnlen)5, (ftnlen)12, (ftnlen)1);
ztrsm_((char *)"R", (char *)"L", (char *)"N", diag, &i__1, &jb, &z__1, &a[j + j * a_dim1], lda,
&a[j + jb + j * a_dim1], lda, (ftnlen)1, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
}
ztrti2_((char *)"Lower", diag, &jb, &a[j + j * a_dim1], lda, info, (ftnlen)5, (ftnlen)1);
ztrti2_((char *)"L", diag, &jb, &a[j + j * a_dim1], lda, info, (ftnlen)1, (ftnlen)1);
}
}
}

10
lib/linalg/zung2l.cpp
View File

@ -10,9 +10,9 @@ int zung2l_(integer *m, integer *n, integer *k, doublecomplex *a, integer *lda,
doublecomplex z__1;
integer i__, j, l, ii;
extern int zscal_(integer *, doublecomplex *, doublecomplex *, integer *),
zlarf_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, ftnlen),
xerbla_(char *, integer *, ftnlen);
xerbla_(char *, integer *, ftnlen),
zlarf1l_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -53,8 +53,8 @@ int zung2l_(integer *m, integer *n, integer *k, doublecomplex *a, integer *lda,
a[i__2].r = 1., a[i__2].i = 0.;
i__2 = *m - *n + ii;
i__3 = ii - 1;
zlarf_((char *)"Left", &i__2, &i__3, &a[ii * a_dim1 + 1], &c__1, &tau[i__], &a[a_offset], lda,
&work[1], (ftnlen)4);
zlarf1l_((char *)"L", &i__2, &i__3, &a[ii * a_dim1 + 1], &c__1, &tau[i__], &a[a_offset], lda,
&work[1], (ftnlen)1);
i__2 = *m - *n + ii - 1;
i__3 = i__;
z__1.r = -tau[i__3].r, z__1.i = -tau[i__3].i;

12
lib/linalg/zung2r.cpp
View File

@ -10,9 +10,9 @@ int zung2r_(integer *m, integer *n, integer *k, doublecomplex *a, integer *lda,
doublecomplex z__1;
integer i__, j, l;
extern int zscal_(integer *, doublecomplex *, doublecomplex *, integer *),
zlarf_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, ftnlen),
xerbla_(char *, integer *, ftnlen);
xerbla_(char *, integer *, ftnlen),
zlarf1f_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -48,12 +48,10 @@ int zung2r_(integer *m, integer *n, integer *k, doublecomplex *a, integer *lda,
}
for (i__ = *k; i__ >= 1; --i__) {
if (i__ < *n) {
i__1 = i__ + i__ * a_dim1;
a[i__1].r = 1., a[i__1].i = 0.;
i__1 = *m - i__ + 1;
i__2 = *n - i__;
zlarf_((char *)"Left", &i__1, &i__2, &a[i__ + i__ * a_dim1], &c__1, &tau[i__],
&a[i__ + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)4);
zlarf1f_((char *)"L", &i__1, &i__2, &a[i__ + i__ * a_dim1], &c__1, &tau[i__],
&a[i__ + (i__ + 1) * a_dim1], lda, &work[1], (ftnlen)1);
}
if (i__ < *m) {
i__1 = *m - i__;

12
lib/linalg/zungl2.cpp
View File

@ -10,9 +10,9 @@ int zungl2_(integer *m, integer *n, integer *k, doublecomplex *a, integer *lda,
void d_lmp_cnjg(doublecomplex *, doublecomplex *);
integer i__, j, l;
extern int zscal_(integer *, doublecomplex *, doublecomplex *, integer *),
zlarf_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, ftnlen),
xerbla_(char *, integer *, ftnlen), zlacgv_(integer *, doublecomplex *, integer *);
xerbla_(char *, integer *, ftnlen), zlacgv_(integer *, doublecomplex *, integer *),
zlarf1f_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, ftnlen);
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
@ -55,13 +55,11 @@ int zungl2_(integer *m, integer *n, integer *k, doublecomplex *a, integer *lda,
i__1 = *n - i__;
zlacgv_(&i__1, &a[i__ + (i__ + 1) * a_dim1], lda);
if (i__ < *m) {
i__1 = i__ + i__ * a_dim1;
a[i__1].r = 1., a[i__1].i = 0.;
i__1 = *m - i__;
i__2 = *n - i__ + 1;
d_lmp_cnjg(&z__1, &tau[i__]);
zlarf_((char *)"Right", &i__1, &i__2, &a[i__ + i__ * a_dim1], lda, &z__1,
&a[i__ + 1 + i__ * a_dim1], lda, &work[1], (ftnlen)5);
zlarf1f_((char *)"R", &i__1, &i__2, &a[i__ + i__ * a_dim1], lda, &z__1,
&a[i__ + 1 + i__ * a_dim1], lda, &work[1], (ftnlen)1);
}
i__1 = *n - i__;
i__2 = i__;

10
lib/linalg/zungql.cpp
View File

@ -105,13 +105,13 @@ int zungql_(integer *m, integer *n, integer *k, doublecomplex *a, integer *lda,
ib = min(i__3, i__4);
if (*n - *k + i__ > 1) {
i__3 = *m - *k + i__ + ib - 1;
zlarft_((char *)"Backward", (char *)"Columnwise", &i__3, &ib, &a[(*n - *k + i__) * a_dim1 + 1], lda,
&tau[i__], &work[1], &ldwork, (ftnlen)8, (ftnlen)10);
zlarft_((char *)"B", (char *)"C", &i__3, &ib, &a[(*n - *k + i__) * a_dim1 + 1], lda, &tau[i__],
&work[1], &ldwork, (ftnlen)1, (ftnlen)1);
i__3 = *m - *k + i__ + ib - 1;
i__4 = *n - *k + i__ - 1;
zlarfb_((char *)"Left", (char *)"No transpose", (char *)"Backward", (char *)"Columnwise", &i__3, &i__4, &ib,
&a[(*n - *k + i__) * a_dim1 + 1], lda, &work[1], &ldwork, &a[a_offset], lda,
&work[ib + 1], &ldwork, (ftnlen)4, (ftnlen)12, (ftnlen)8, (ftnlen)10);
zlarfb_((char *)"L", (char *)"N", (char *)"B", (char *)"C", &i__3, &i__4, &ib, &a[(*n - *k + i__) * a_dim1 + 1],
lda, &work[1], &ldwork, &a[a_offset], lda, &work[ib + 1], &ldwork,
(ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
i__3 = *m - *k + i__ + ib - 1;
zung2l_(&i__3, &ib, &ib, &a[(*n - *k + i__) * a_dim1 + 1], lda, &tau[i__], &work[1],

11
lib/linalg/zungqr.cpp
View File

@ -102,14 +102,13 @@ int zungqr_(integer *m, integer *n, integer *k, doublecomplex *a, integer *lda,
ib = min(i__2, i__3);
if (i__ + ib <= *n) {
i__2 = *m - i__ + 1;
zlarft_((char *)"Forward", (char *)"Columnwise", &i__2, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__],
&work[1], &ldwork, (ftnlen)7, (ftnlen)10);
zlarft_((char *)"F", (char *)"C", &i__2, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__], &work[1],
&ldwork, (ftnlen)1, (ftnlen)1);
i__2 = *m - i__ + 1;
i__3 = *n - i__ - ib + 1;
zlarfb_((char *)"Left", (char *)"No transpose", (char *)"Forward", (char *)"Columnwise", &i__2, &i__3, &ib,
&a[i__ + i__ * a_dim1], lda, &work[1], &ldwork,
&a[i__ + (i__ + ib) * a_dim1], lda, &work[ib + 1], &ldwork, (ftnlen)4,
(ftnlen)12, (ftnlen)7, (ftnlen)10);
zlarfb_((char *)"L", (char *)"N", (char *)"F", (char *)"C", &i__2, &i__3, &ib, &a[i__ + i__ * a_dim1], lda,
&work[1], &ldwork, &a[i__ + (i__ + ib) * a_dim1], lda, &work[ib + 1],
&ldwork, (ftnlen)1, (ftnlen)1, (ftnlen)1, (ftnlen)1);
}
i__2 = *m - i__ + 1;
zung2r_(&i__2, &ib, &ib, &a[i__ + i__ * a_dim1], lda, &tau[i__], &work[1], &iinfo);

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