whitespace fixes
This commit is contained in:
@ -1,13 +1,13 @@
|
||||
/* fortran/dsterf.f -- translated by f2c (version 20200916).
|
||||
You must link the resulting object file with libf2c:
|
||||
on Microsoft Windows system, link with libf2c.lib;
|
||||
on Linux or Unix systems, link with .../path/to/libf2c.a -lm
|
||||
or, if you install libf2c.a in a standard place, with -lf2c -lm
|
||||
-- in that order, at the end of the command line, as in
|
||||
cc *.o -lf2c -lm
|
||||
Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
|
||||
on Microsoft Windows system, link with libf2c.lib;
|
||||
on Linux or Unix systems, link with .../path/to/libf2c.a -lm
|
||||
or, if you install libf2c.a in a standard place, with -lf2c -lm
|
||||
-- in that order, at the end of the command line, as in
|
||||
cc *.o -lf2c -lm
|
||||
Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
|
||||
|
||||
http://www.netlib.org/f2c/libf2c.zip
|
||||
http://www.netlib.org/f2c/libf2c.zip
|
||||
*/
|
||||
|
||||
#ifdef __cplusplus
|
||||
@ -108,8 +108,8 @@ f"> */
|
||||
/* > \ingroup auxOTHERcomputational */
|
||||
|
||||
/* ===================================================================== */
|
||||
/* Subroutine */ int dsterf_(integer *n, doublereal *d__, doublereal *e,
|
||||
integer *info)
|
||||
/* Subroutine */ int dsterf_(integer *n, doublereal *d__, doublereal *e,
|
||||
integer *info)
|
||||
{
|
||||
/* System generated locals */
|
||||
integer i__1;
|
||||
@ -129,22 +129,22 @@ f"> */
|
||||
integer lend;
|
||||
doublereal rmax;
|
||||
integer jtot;
|
||||
extern /* Subroutine */ int dlae2_(doublereal *, doublereal *, doublereal
|
||||
*, doublereal *, doublereal *);
|
||||
extern /* Subroutine */ int dlae2_(doublereal *, doublereal *, doublereal
|
||||
*, doublereal *, doublereal *);
|
||||
doublereal gamma, alpha, sigma, anorm;
|
||||
extern doublereal dlapy2_(doublereal *, doublereal *), dlamch_(char *,
|
||||
ftnlen);
|
||||
extern doublereal dlapy2_(doublereal *, doublereal *), dlamch_(char *,
|
||||
ftnlen);
|
||||
integer iscale;
|
||||
extern /* Subroutine */ int dlascl_(char *, integer *, integer *,
|
||||
doublereal *, doublereal *, integer *, integer *, doublereal *,
|
||||
integer *, integer *, ftnlen);
|
||||
extern /* Subroutine */ int dlascl_(char *, integer *, integer *,
|
||||
doublereal *, doublereal *, integer *, integer *, doublereal *,
|
||||
integer *, integer *, ftnlen);
|
||||
doublereal oldgam, safmin;
|
||||
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
|
||||
doublereal safmax;
|
||||
extern doublereal dlanst_(char *, integer *, doublereal *, doublereal *,
|
||||
ftnlen);
|
||||
extern /* Subroutine */ int dlasrt_(char *, integer *, doublereal *,
|
||||
integer *, ftnlen);
|
||||
extern doublereal dlanst_(char *, integer *, doublereal *, doublereal *,
|
||||
ftnlen);
|
||||
extern /* Subroutine */ int dlasrt_(char *, integer *, doublereal *,
|
||||
integer *, ftnlen);
|
||||
integer lendsv;
|
||||
doublereal ssfmin;
|
||||
integer nmaxit;
|
||||
@ -186,13 +186,13 @@ f"> */
|
||||
/* Quick return if possible */
|
||||
|
||||
if (*n < 0) {
|
||||
*info = -1;
|
||||
i__1 = -(*info);
|
||||
xerbla_((char *)"DSTERF", &i__1, (ftnlen)6);
|
||||
return 0;
|
||||
*info = -1;
|
||||
i__1 = -(*info);
|
||||
xerbla_((char *)"DSTERF", &i__1, (ftnlen)6);
|
||||
return 0;
|
||||
}
|
||||
if (*n <= 1) {
|
||||
return 0;
|
||||
return 0;
|
||||
}
|
||||
|
||||
/* Determine the unit roundoff for this environment. */
|
||||
@ -221,18 +221,18 @@ f"> */
|
||||
|
||||
L10:
|
||||
if (l1 > *n) {
|
||||
goto L170;
|
||||
goto L170;
|
||||
}
|
||||
if (l1 > 1) {
|
||||
e[l1 - 1] = 0.;
|
||||
e[l1 - 1] = 0.;
|
||||
}
|
||||
i__1 = *n - 1;
|
||||
for (m = l1; m <= i__1; ++m) {
|
||||
if ((d__3 = e[m], abs(d__3)) <= sqrt((d__1 = d__[m], abs(d__1))) *
|
||||
sqrt((d__2 = d__[m + 1], abs(d__2))) * eps) {
|
||||
e[m] = 0.;
|
||||
goto L30;
|
||||
}
|
||||
if ((d__3 = e[m], abs(d__3)) <= sqrt((d__1 = d__[m], abs(d__1))) *
|
||||
sqrt((d__2 = d__[m + 1], abs(d__2))) * eps) {
|
||||
e[m] = 0.;
|
||||
goto L30;
|
||||
}
|
||||
/* L20: */
|
||||
}
|
||||
m = *n;
|
||||
@ -244,7 +244,7 @@ L30:
|
||||
lendsv = lend;
|
||||
l1 = m + 1;
|
||||
if (lend == l) {
|
||||
goto L10;
|
||||
goto L10;
|
||||
}
|
||||
|
||||
/* Scale submatrix in rows and columns L to LEND */
|
||||
@ -253,39 +253,39 @@ L30:
|
||||
anorm = dlanst_((char *)"M", &i__1, &d__[l], &e[l], (ftnlen)1);
|
||||
iscale = 0;
|
||||
if (anorm == 0.) {
|
||||
goto L10;
|
||||
goto L10;
|
||||
}
|
||||
if (anorm > ssfmax) {
|
||||
iscale = 1;
|
||||
i__1 = lend - l + 1;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anorm, &ssfmax, &i__1, &c__1, &d__[l], n,
|
||||
info, (ftnlen)1);
|
||||
i__1 = lend - l;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anorm, &ssfmax, &i__1, &c__1, &e[l], n,
|
||||
info, (ftnlen)1);
|
||||
iscale = 1;
|
||||
i__1 = lend - l + 1;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anorm, &ssfmax, &i__1, &c__1, &d__[l], n,
|
||||
info, (ftnlen)1);
|
||||
i__1 = lend - l;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anorm, &ssfmax, &i__1, &c__1, &e[l], n,
|
||||
info, (ftnlen)1);
|
||||
} else if (anorm < ssfmin) {
|
||||
iscale = 2;
|
||||
i__1 = lend - l + 1;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anorm, &ssfmin, &i__1, &c__1, &d__[l], n,
|
||||
info, (ftnlen)1);
|
||||
i__1 = lend - l;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anorm, &ssfmin, &i__1, &c__1, &e[l], n,
|
||||
info, (ftnlen)1);
|
||||
iscale = 2;
|
||||
i__1 = lend - l + 1;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anorm, &ssfmin, &i__1, &c__1, &d__[l], n,
|
||||
info, (ftnlen)1);
|
||||
i__1 = lend - l;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anorm, &ssfmin, &i__1, &c__1, &e[l], n,
|
||||
info, (ftnlen)1);
|
||||
}
|
||||
|
||||
i__1 = lend - 1;
|
||||
for (i__ = l; i__ <= i__1; ++i__) {
|
||||
/* Computing 2nd power */
|
||||
d__1 = e[i__];
|
||||
e[i__] = d__1 * d__1;
|
||||
d__1 = e[i__];
|
||||
e[i__] = d__1 * d__1;
|
||||
/* L40: */
|
||||
}
|
||||
|
||||
/* Choose between QL and QR iteration */
|
||||
|
||||
if ((d__1 = d__[lend], abs(d__1)) < (d__2 = d__[l], abs(d__2))) {
|
||||
lend = lsv;
|
||||
l = lendsv;
|
||||
lend = lsv;
|
||||
l = lendsv;
|
||||
}
|
||||
|
||||
if (lend >= l) {
|
||||
@ -295,98 +295,98 @@ L30:
|
||||
/* Look for small subdiagonal element. */
|
||||
|
||||
L50:
|
||||
if (l != lend) {
|
||||
i__1 = lend - 1;
|
||||
for (m = l; m <= i__1; ++m) {
|
||||
if ((d__2 = e[m], abs(d__2)) <= eps2 * (d__1 = d__[m] * d__[m
|
||||
+ 1], abs(d__1))) {
|
||||
goto L70;
|
||||
}
|
||||
if (l != lend) {
|
||||
i__1 = lend - 1;
|
||||
for (m = l; m <= i__1; ++m) {
|
||||
if ((d__2 = e[m], abs(d__2)) <= eps2 * (d__1 = d__[m] * d__[m
|
||||
+ 1], abs(d__1))) {
|
||||
goto L70;
|
||||
}
|
||||
/* L60: */
|
||||
}
|
||||
}
|
||||
m = lend;
|
||||
}
|
||||
}
|
||||
m = lend;
|
||||
|
||||
L70:
|
||||
if (m < lend) {
|
||||
e[m] = 0.;
|
||||
}
|
||||
p = d__[l];
|
||||
if (m == l) {
|
||||
goto L90;
|
||||
}
|
||||
if (m < lend) {
|
||||
e[m] = 0.;
|
||||
}
|
||||
p = d__[l];
|
||||
if (m == l) {
|
||||
goto L90;
|
||||
}
|
||||
|
||||
/* If remaining matrix is 2 by 2, use DLAE2 to compute its */
|
||||
/* eigenvalues. */
|
||||
|
||||
if (m == l + 1) {
|
||||
rte = sqrt(e[l]);
|
||||
dlae2_(&d__[l], &rte, &d__[l + 1], &rt1, &rt2);
|
||||
d__[l] = rt1;
|
||||
d__[l + 1] = rt2;
|
||||
e[l] = 0.;
|
||||
l += 2;
|
||||
if (l <= lend) {
|
||||
goto L50;
|
||||
}
|
||||
goto L150;
|
||||
}
|
||||
if (m == l + 1) {
|
||||
rte = sqrt(e[l]);
|
||||
dlae2_(&d__[l], &rte, &d__[l + 1], &rt1, &rt2);
|
||||
d__[l] = rt1;
|
||||
d__[l + 1] = rt2;
|
||||
e[l] = 0.;
|
||||
l += 2;
|
||||
if (l <= lend) {
|
||||
goto L50;
|
||||
}
|
||||
goto L150;
|
||||
}
|
||||
|
||||
if (jtot == nmaxit) {
|
||||
goto L150;
|
||||
}
|
||||
++jtot;
|
||||
if (jtot == nmaxit) {
|
||||
goto L150;
|
||||
}
|
||||
++jtot;
|
||||
|
||||
/* Form shift. */
|
||||
|
||||
rte = sqrt(e[l]);
|
||||
sigma = (d__[l + 1] - p) / (rte * 2.);
|
||||
r__ = dlapy2_(&sigma, &c_b33);
|
||||
sigma = p - rte / (sigma + d_sign(&r__, &sigma));
|
||||
rte = sqrt(e[l]);
|
||||
sigma = (d__[l + 1] - p) / (rte * 2.);
|
||||
r__ = dlapy2_(&sigma, &c_b33);
|
||||
sigma = p - rte / (sigma + d_sign(&r__, &sigma));
|
||||
|
||||
c__ = 1.;
|
||||
s = 0.;
|
||||
gamma = d__[m] - sigma;
|
||||
p = gamma * gamma;
|
||||
c__ = 1.;
|
||||
s = 0.;
|
||||
gamma = d__[m] - sigma;
|
||||
p = gamma * gamma;
|
||||
|
||||
/* Inner loop */
|
||||
|
||||
i__1 = l;
|
||||
for (i__ = m - 1; i__ >= i__1; --i__) {
|
||||
bb = e[i__];
|
||||
r__ = p + bb;
|
||||
if (i__ != m - 1) {
|
||||
e[i__ + 1] = s * r__;
|
||||
}
|
||||
oldc = c__;
|
||||
c__ = p / r__;
|
||||
s = bb / r__;
|
||||
oldgam = gamma;
|
||||
alpha = d__[i__];
|
||||
gamma = c__ * (alpha - sigma) - s * oldgam;
|
||||
d__[i__ + 1] = oldgam + (alpha - gamma);
|
||||
if (c__ != 0.) {
|
||||
p = gamma * gamma / c__;
|
||||
} else {
|
||||
p = oldc * bb;
|
||||
}
|
||||
i__1 = l;
|
||||
for (i__ = m - 1; i__ >= i__1; --i__) {
|
||||
bb = e[i__];
|
||||
r__ = p + bb;
|
||||
if (i__ != m - 1) {
|
||||
e[i__ + 1] = s * r__;
|
||||
}
|
||||
oldc = c__;
|
||||
c__ = p / r__;
|
||||
s = bb / r__;
|
||||
oldgam = gamma;
|
||||
alpha = d__[i__];
|
||||
gamma = c__ * (alpha - sigma) - s * oldgam;
|
||||
d__[i__ + 1] = oldgam + (alpha - gamma);
|
||||
if (c__ != 0.) {
|
||||
p = gamma * gamma / c__;
|
||||
} else {
|
||||
p = oldc * bb;
|
||||
}
|
||||
/* L80: */
|
||||
}
|
||||
}
|
||||
|
||||
e[l] = s * p;
|
||||
d__[l] = sigma + gamma;
|
||||
goto L50;
|
||||
e[l] = s * p;
|
||||
d__[l] = sigma + gamma;
|
||||
goto L50;
|
||||
|
||||
/* Eigenvalue found. */
|
||||
|
||||
L90:
|
||||
d__[l] = p;
|
||||
d__[l] = p;
|
||||
|
||||
++l;
|
||||
if (l <= lend) {
|
||||
goto L50;
|
||||
}
|
||||
goto L150;
|
||||
++l;
|
||||
if (l <= lend) {
|
||||
goto L50;
|
||||
}
|
||||
goto L150;
|
||||
|
||||
} else {
|
||||
|
||||
@ -395,96 +395,96 @@ L90:
|
||||
/* Look for small superdiagonal element. */
|
||||
|
||||
L100:
|
||||
i__1 = lend + 1;
|
||||
for (m = l; m >= i__1; --m) {
|
||||
if ((d__2 = e[m - 1], abs(d__2)) <= eps2 * (d__1 = d__[m] * d__[m
|
||||
- 1], abs(d__1))) {
|
||||
goto L120;
|
||||
}
|
||||
i__1 = lend + 1;
|
||||
for (m = l; m >= i__1; --m) {
|
||||
if ((d__2 = e[m - 1], abs(d__2)) <= eps2 * (d__1 = d__[m] * d__[m
|
||||
- 1], abs(d__1))) {
|
||||
goto L120;
|
||||
}
|
||||
/* L110: */
|
||||
}
|
||||
m = lend;
|
||||
}
|
||||
m = lend;
|
||||
|
||||
L120:
|
||||
if (m > lend) {
|
||||
e[m - 1] = 0.;
|
||||
}
|
||||
p = d__[l];
|
||||
if (m == l) {
|
||||
goto L140;
|
||||
}
|
||||
if (m > lend) {
|
||||
e[m - 1] = 0.;
|
||||
}
|
||||
p = d__[l];
|
||||
if (m == l) {
|
||||
goto L140;
|
||||
}
|
||||
|
||||
/* If remaining matrix is 2 by 2, use DLAE2 to compute its */
|
||||
/* eigenvalues. */
|
||||
|
||||
if (m == l - 1) {
|
||||
rte = sqrt(e[l - 1]);
|
||||
dlae2_(&d__[l], &rte, &d__[l - 1], &rt1, &rt2);
|
||||
d__[l] = rt1;
|
||||
d__[l - 1] = rt2;
|
||||
e[l - 1] = 0.;
|
||||
l += -2;
|
||||
if (l >= lend) {
|
||||
goto L100;
|
||||
}
|
||||
goto L150;
|
||||
}
|
||||
if (m == l - 1) {
|
||||
rte = sqrt(e[l - 1]);
|
||||
dlae2_(&d__[l], &rte, &d__[l - 1], &rt1, &rt2);
|
||||
d__[l] = rt1;
|
||||
d__[l - 1] = rt2;
|
||||
e[l - 1] = 0.;
|
||||
l += -2;
|
||||
if (l >= lend) {
|
||||
goto L100;
|
||||
}
|
||||
goto L150;
|
||||
}
|
||||
|
||||
if (jtot == nmaxit) {
|
||||
goto L150;
|
||||
}
|
||||
++jtot;
|
||||
if (jtot == nmaxit) {
|
||||
goto L150;
|
||||
}
|
||||
++jtot;
|
||||
|
||||
/* Form shift. */
|
||||
|
||||
rte = sqrt(e[l - 1]);
|
||||
sigma = (d__[l - 1] - p) / (rte * 2.);
|
||||
r__ = dlapy2_(&sigma, &c_b33);
|
||||
sigma = p - rte / (sigma + d_sign(&r__, &sigma));
|
||||
rte = sqrt(e[l - 1]);
|
||||
sigma = (d__[l - 1] - p) / (rte * 2.);
|
||||
r__ = dlapy2_(&sigma, &c_b33);
|
||||
sigma = p - rte / (sigma + d_sign(&r__, &sigma));
|
||||
|
||||
c__ = 1.;
|
||||
s = 0.;
|
||||
gamma = d__[m] - sigma;
|
||||
p = gamma * gamma;
|
||||
c__ = 1.;
|
||||
s = 0.;
|
||||
gamma = d__[m] - sigma;
|
||||
p = gamma * gamma;
|
||||
|
||||
/* Inner loop */
|
||||
|
||||
i__1 = l - 1;
|
||||
for (i__ = m; i__ <= i__1; ++i__) {
|
||||
bb = e[i__];
|
||||
r__ = p + bb;
|
||||
if (i__ != m) {
|
||||
e[i__ - 1] = s * r__;
|
||||
}
|
||||
oldc = c__;
|
||||
c__ = p / r__;
|
||||
s = bb / r__;
|
||||
oldgam = gamma;
|
||||
alpha = d__[i__ + 1];
|
||||
gamma = c__ * (alpha - sigma) - s * oldgam;
|
||||
d__[i__] = oldgam + (alpha - gamma);
|
||||
if (c__ != 0.) {
|
||||
p = gamma * gamma / c__;
|
||||
} else {
|
||||
p = oldc * bb;
|
||||
}
|
||||
i__1 = l - 1;
|
||||
for (i__ = m; i__ <= i__1; ++i__) {
|
||||
bb = e[i__];
|
||||
r__ = p + bb;
|
||||
if (i__ != m) {
|
||||
e[i__ - 1] = s * r__;
|
||||
}
|
||||
oldc = c__;
|
||||
c__ = p / r__;
|
||||
s = bb / r__;
|
||||
oldgam = gamma;
|
||||
alpha = d__[i__ + 1];
|
||||
gamma = c__ * (alpha - sigma) - s * oldgam;
|
||||
d__[i__] = oldgam + (alpha - gamma);
|
||||
if (c__ != 0.) {
|
||||
p = gamma * gamma / c__;
|
||||
} else {
|
||||
p = oldc * bb;
|
||||
}
|
||||
/* L130: */
|
||||
}
|
||||
}
|
||||
|
||||
e[l - 1] = s * p;
|
||||
d__[l] = sigma + gamma;
|
||||
goto L100;
|
||||
e[l - 1] = s * p;
|
||||
d__[l] = sigma + gamma;
|
||||
goto L100;
|
||||
|
||||
/* Eigenvalue found. */
|
||||
|
||||
L140:
|
||||
d__[l] = p;
|
||||
d__[l] = p;
|
||||
|
||||
--l;
|
||||
if (l >= lend) {
|
||||
goto L100;
|
||||
}
|
||||
goto L150;
|
||||
--l;
|
||||
if (l >= lend) {
|
||||
goto L100;
|
||||
}
|
||||
goto L150;
|
||||
|
||||
}
|
||||
|
||||
@ -492,27 +492,27 @@ L140:
|
||||
|
||||
L150:
|
||||
if (iscale == 1) {
|
||||
i__1 = lendsv - lsv + 1;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &ssfmax, &anorm, &i__1, &c__1, &d__[lsv],
|
||||
n, info, (ftnlen)1);
|
||||
i__1 = lendsv - lsv + 1;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &ssfmax, &anorm, &i__1, &c__1, &d__[lsv],
|
||||
n, info, (ftnlen)1);
|
||||
}
|
||||
if (iscale == 2) {
|
||||
i__1 = lendsv - lsv + 1;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &ssfmin, &anorm, &i__1, &c__1, &d__[lsv],
|
||||
n, info, (ftnlen)1);
|
||||
i__1 = lendsv - lsv + 1;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &ssfmin, &anorm, &i__1, &c__1, &d__[lsv],
|
||||
n, info, (ftnlen)1);
|
||||
}
|
||||
|
||||
/* Check for no convergence to an eigenvalue after a total */
|
||||
/* of N*MAXIT iterations. */
|
||||
|
||||
if (jtot < nmaxit) {
|
||||
goto L10;
|
||||
goto L10;
|
||||
}
|
||||
i__1 = *n - 1;
|
||||
for (i__ = 1; i__ <= i__1; ++i__) {
|
||||
if (e[i__] != 0.) {
|
||||
++(*info);
|
||||
}
|
||||
if (e[i__] != 0.) {
|
||||
++(*info);
|
||||
}
|
||||
/* L160: */
|
||||
}
|
||||
goto L180;
|
||||
@ -530,5 +530,5 @@ L180:
|
||||
} /* dsterf_ */
|
||||
|
||||
#ifdef __cplusplus
|
||||
}
|
||||
}
|
||||
#endif
|
||||
|
||||
Reference in New Issue
Block a user