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remove redundant comments from generated C++ files. clean up with clang-format.

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This commit is contained in:
Axel Kohlmeyer
2022-12-28 16:31:50 -05:00
parent f157ba2389
commit 57713cf9a3
211 changed files with 6255 additions and 54891 deletions
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427
lib/linalg/dsteqr.cpp
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@ -1,172 +1,18 @@
/* fortran/dsteqr.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.,
http://www.netlib.org/f2c/libf2c.zip
*/
#ifdef __cplusplus
extern "C" {
#endif
#include "lmp_f2c.h"
/* Table of constant values */
static doublereal c_b9 = 0.;
static doublereal c_b10 = 1.;
static integer c__0 = 0;
static integer c__1 = 1;
static integer c__2 = 2;
/* > \brief \b DSTEQR */
/* =========== DOCUMENTATION =========== */
/* Online html documentation available at */
/* http://www.netlib.org/lapack/explore-html/ */
/* > \htmlonly */
/* > Download DSTEQR + dependencies */
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsteqr.
f"> */
/* > [TGZ]</a> */
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsteqr.
f"> */
/* > [ZIP]</a> */
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsteqr.
f"> */
/* > [TXT]</a> */
/* > \endhtmlonly */
/* Definition: */
/* =========== */
/* SUBROUTINE DSTEQR( COMPZ, N, D, E, Z, LDZ, WORK, INFO ) */
/* .. Scalar Arguments .. */
/* CHARACTER COMPZ */
/* INTEGER INFO, LDZ, N */
/* .. */
/* .. Array Arguments .. */
/* DOUBLE PRECISION D( * ), E( * ), WORK( * ), Z( LDZ, * ) */
/* .. */
/* > \par Purpose: */
/* ============= */
/* > */
/* > \verbatim */
/* > */
/* > DSTEQR computes all eigenvalues and, optionally, eigenvectors of a */
/* > symmetric tridiagonal matrix using the implicit QL or QR method. */
/* > The eigenvectors of a full or band symmetric matrix can also be found */
/* > if DSYTRD or DSPTRD or DSBTRD has been used to reduce this matrix to */
/* > tridiagonal form. */
/* > \endverbatim */
/* Arguments: */
/* ========== */
/* > \param[in] COMPZ */
/* > \verbatim */
/* > COMPZ is CHARACTER*1 */
/* > = 'N': Compute eigenvalues only. */
/* > = 'V': Compute eigenvalues and eigenvectors of the original */
/* > symmetric matrix. On entry, Z must contain the */
/* > orthogonal matrix used to reduce the original matrix */
/* > to tridiagonal form. */
/* > = 'I': Compute eigenvalues and eigenvectors of the */
/* > tridiagonal matrix. Z is initialized to the identity */
/* > matrix. */
/* > \endverbatim */
/* > */
/* > \param[in] N */
/* > \verbatim */
/* > N is INTEGER */
/* > The order of the matrix. N >= 0. */
/* > \endverbatim */
/* > */
/* > \param[in,out] D */
/* > \verbatim */
/* > D is DOUBLE PRECISION array, dimension (N) */
/* > On entry, the diagonal elements of the tridiagonal matrix. */
/* > On exit, if INFO = 0, the eigenvalues in ascending order. */
/* > \endverbatim */
/* > */
/* > \param[in,out] E */
/* > \verbatim */
/* > E is DOUBLE PRECISION array, dimension (N-1) */
/* > On entry, the (n-1) subdiagonal elements of the tridiagonal */
/* > matrix. */
/* > On exit, E has been destroyed. */
/* > \endverbatim */
/* > */
/* > \param[in,out] Z */
/* > \verbatim */
/* > Z is DOUBLE PRECISION array, dimension (LDZ, N) */
/* > On entry, if COMPZ = 'V', then Z contains the orthogonal */
/* > matrix used in the reduction to tridiagonal form. */
/* > On exit, if INFO = 0, then if COMPZ = 'V', Z contains the */
/* > orthonormal eigenvectors of the original symmetric matrix, */
/* > and if COMPZ = 'I', Z contains the orthonormal eigenvectors */
/* > of the symmetric tridiagonal matrix. */
/* > If COMPZ = 'N', then Z is not referenced. */
/* > \endverbatim */
/* > */
/* > \param[in] LDZ */
/* > \verbatim */
/* > LDZ is INTEGER */
/* > The leading dimension of the array Z. LDZ >= 1, and if */
/* > eigenvectors are desired, then LDZ >= max(1,N). */
/* > \endverbatim */
/* > */
/* > \param[out] WORK */
/* > \verbatim */
/* > WORK is DOUBLE PRECISION array, dimension (max(1,2*N-2)) */
/* > If COMPZ = 'N', then WORK is not referenced. */
/* > \endverbatim */
/* > */
/* > \param[out] INFO */
/* > \verbatim */
/* > INFO is INTEGER */
/* > = 0: successful exit */
/* > < 0: if INFO = -i, the i-th argument had an illegal value */
/* > > 0: the algorithm has failed to find all the eigenvalues in */
/* > a total of 30*N iterations; if INFO = i, then i */
/* > elements of E have not converged to zero; on exit, D */
/* > and E contain the elements of a symmetric tridiagonal */
/* > matrix which is orthogonally similar to the original */
/* > matrix. */
/* > \endverbatim */
/* Authors: */
/* ======== */
/* > \author Univ. of Tennessee */
/* > \author Univ. of California Berkeley */
/* > \author Univ. of Colorado Denver */
/* > \author NAG Ltd. */
/* > \ingroup auxOTHERcomputational */
/* ===================================================================== */
/* Subroutine */ int dsteqr_(char *compz, integer *n, doublereal *d__,
doublereal *e, doublereal *z__, integer *ldz, doublereal *work,
integer *info, ftnlen compz_len)
int dsteqr_(char *compz, integer *n, doublereal *d__, doublereal *e, doublereal *z__, integer *ldz,
doublereal *work, integer *info, ftnlen compz_len)
{
/* System generated locals */
integer z_dim1, z_offset, i__1, i__2;
doublereal d__1, d__2;
/* Builtin functions */
double sqrt(doublereal), d_lmp_sign(doublereal *, doublereal *);
/* Local variables */
doublereal b, c__, f, g;
integer i__, j, k, l, m;
doublereal p, r__, s;
@ -175,76 +21,38 @@ f"> */
integer lsv;
doublereal tst, eps2;
integer lend, jtot;
extern /* Subroutine */ int dlae2_(doublereal *, doublereal *, doublereal
*, doublereal *, doublereal *);
extern int dlae2_(doublereal *, doublereal *, doublereal *, doublereal *, doublereal *);
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern /* Subroutine */ int dlasr_(char *, char *, char *, integer *,
integer *, doublereal *, doublereal *, doublereal *, integer *,
ftnlen, ftnlen, ftnlen);
extern int dlasr_(char *, char *, char *, integer *, integer *, doublereal *, doublereal *,
doublereal *, integer *, ftnlen, ftnlen, ftnlen);
doublereal anorm;
extern /* Subroutine */ int dswap_(integer *, doublereal *, integer *,
doublereal *, integer *), dlaev2_(doublereal *, doublereal *,
doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *);
extern int dswap_(integer *, doublereal *, integer *, doublereal *, integer *),
dlaev2_(doublereal *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *);
integer lendm1, lendp1;
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), dlaset_(char *, integer *, integer
*, doublereal *, doublereal *, doublereal *, integer *, ftnlen);
extern int dlascl_(char *, integer *, integer *, doublereal *, doublereal *, integer *,
integer *, doublereal *, integer *, integer *, ftnlen),
dlaset_(char *, integer *, integer *, doublereal *, doublereal *, doublereal *, integer *,
ftnlen);
doublereal safmin;
extern /* Subroutine */ int dlartg_(doublereal *, doublereal *,
doublereal *, doublereal *, doublereal *);
extern int dlartg_(doublereal *, doublereal *, doublereal *, doublereal *, doublereal *);
doublereal safmax;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
extern doublereal dlanst_(char *, integer *, doublereal *, doublereal *,
ftnlen);
extern /* Subroutine */ int dlasrt_(char *, integer *, doublereal *,
integer *, ftnlen);
extern int xerbla_(char *, integer *, ftnlen);
extern doublereal dlanst_(char *, integer *, doublereal *, doublereal *, ftnlen);
extern int dlasrt_(char *, integer *, doublereal *, integer *, ftnlen);
integer lendsv;
doublereal ssfmin;
integer nmaxit, icompz;
doublereal ssfmax;
/* -- LAPACK computational routine -- */
/* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
/* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
--d__;
--e;
z_dim1 = *ldz;
z_offset = 1 + z_dim1;
z__ -= z_offset;
--work;
/* Function Body */
*info = 0;
if (lsame_(compz, (char *)"N", (ftnlen)1, (ftnlen)1)) {
icompz = 0;
} else if (lsame_(compz, (char *)"V", (ftnlen)1, (ftnlen)1)) {
@ -258,7 +66,7 @@ f"> */
*info = -1;
} else if (*n < 0) {
*info = -2;
} else if (*ldz < 1 || icompz > 0 && *ldz < max(1,*n)) {
} else if (*ldz < 1 || icompz > 0 && *ldz < max(1, *n)) {
*info = -6;
}
if (*info != 0) {
@ -266,48 +74,29 @@ f"> */
xerbla_((char *)"DSTEQR", &i__1, (ftnlen)6);
return 0;
}
/* Quick return if possible */
if (*n == 0) {
return 0;
}
if (*n == 1) {
if (icompz == 2) {
z__[z_dim1 + 1] = 1.;
}
return 0;
}
/* Determine the unit roundoff and over/underflow thresholds. */
eps = dlamch_((char *)"E", (ftnlen)1);
/* Computing 2nd power */
d__1 = eps;
eps2 = d__1 * d__1;
safmin = dlamch_((char *)"S", (ftnlen)1);
safmax = 1. / safmin;
ssfmax = sqrt(safmax) / 3.;
ssfmin = sqrt(safmin) / eps2;
/* Compute the eigenvalues and eigenvectors of the tridiagonal */
/* matrix. */
if (icompz == 2) {
dlaset_((char *)"Full", n, n, &c_b9, &c_b10, &z__[z_offset], ldz, (ftnlen)4);
}
nmaxit = *n * 30;
jtot = 0;
/* Determine where the matrix splits and choose QL or QR iteration */
/* for each block, according to whether top or bottom diagonal */
/* element is smaller. */
l1 = 1;
nm1 = *n - 1;
L10:
if (l1 > *n) {
goto L160;
@ -322,16 +111,14 @@ L10:
if (tst == 0.) {
goto L30;
}
if (tst <= sqrt((d__1 = d__[m], abs(d__1))) * sqrt((d__2 = d__[m
+ 1], abs(d__2))) * eps) {
if (tst <=
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;
L30:
l = l1;
lsv = l;
@ -341,9 +128,6 @@ L30:
if (lend == l) {
goto L10;
}
/* Scale submatrix in rows and columns L to LEND */
i__1 = lend - l + 1;
anorm = dlanst_((char *)"M", &i__1, &d__[l], &e[l], (ftnlen)1);
iscale = 0;
@ -353,53 +137,36 @@ L30:
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);
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);
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);
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);
dlascl_((char *)"G", &c__0, &c__0, &anorm, &ssfmin, &i__1, &c__1, &e[l], n, info, (ftnlen)1);
}
/* 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;
}
if (lend > l) {
/* QL Iteration */
/* Look for small subdiagonal element. */
L40:
L40:
if (l != lend) {
lendm1 = lend - 1;
i__1 = lendm1;
for (m = l; m <= i__1; ++m) {
/* Computing 2nd power */
d__2 = (d__1 = e[m], abs(d__1));
tst = d__2 * d__2;
if (tst <= eps2 * (d__1 = d__[m], abs(d__1)) * (d__2 = d__[m
+ 1], abs(d__2)) + safmin) {
if (tst <=
eps2 * (d__1 = d__[m], abs(d__1)) * (d__2 = d__[m + 1], abs(d__2)) + safmin) {
goto L60;
}
/* L50: */
}
}
m = lend;
L60:
L60:
if (m < lend) {
e[m] = 0.;
}
@ -407,18 +174,13 @@ L60:
if (m == l) {
goto L80;
}
/* If remaining matrix is 2-by-2, use DLAE2 or SLAEV2 */
/* to compute its eigensystem. */
if (m == l + 1) {
if (icompz > 0) {
dlaev2_(&d__[l], &e[l], &d__[l + 1], &rt1, &rt2, &c__, &s);
work[l] = c__;
work[*n - 1 + l] = s;
dlasr_((char *)"R", (char *)"V", (char *)"B", n, &c__2, &work[l], &work[*n - 1 + l], &
z__[l * z_dim1 + 1], ldz, (ftnlen)1, (ftnlen)1, (
ftnlen)1);
dlasr_((char *)"R", (char *)"V", (char *)"B", n, &c__2, &work[l], &work[*n - 1 + l], &z__[l * z_dim1 + 1],
ldz, (ftnlen)1, (ftnlen)1, (ftnlen)1);
} else {
dlae2_(&d__[l], &e[l], &d__[l + 1], &rt1, &rt2);
}
@ -431,24 +193,16 @@ L60:
}
goto L140;
}
if (jtot == nmaxit) {
goto L140;
}
++jtot;
/* Form shift. */
g = (d__[l + 1] - p) / (e[l] * 2.);
r__ = dlapy2_(&g, &c_b10);
g = d__[m] - p + e[l] / (g + d_lmp_sign(&r__, &g));
s = 1.;
c__ = 1.;
p = 0.;
/* Inner loop */
mm1 = m - 1;
i__1 = l;
for (i__ = mm1; i__ >= i__1; --i__) {
@ -463,65 +217,42 @@ L60:
p = s * r__;
d__[i__ + 1] = g + p;
g = c__ * r__ - b;
/* If eigenvectors are desired, then save rotations. */
if (icompz > 0) {
work[i__] = c__;
work[*n - 1 + i__] = -s;
}
/* L70: */
}
/* If eigenvectors are desired, then apply saved rotations. */
if (icompz > 0) {
mm = m - l + 1;
dlasr_((char *)"R", (char *)"V", (char *)"B", n, &mm, &work[l], &work[*n - 1 + l], &z__[l
* z_dim1 + 1], ldz, (ftnlen)1, (ftnlen)1, (ftnlen)1);
dlasr_((char *)"R", (char *)"V", (char *)"B", n, &mm, &work[l], &work[*n - 1 + l], &z__[l * z_dim1 + 1], ldz,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
}
d__[l] -= p;
e[l] = g;
goto L40;
/* Eigenvalue found. */
L80:
L80:
d__[l] = p;
++l;
if (l <= lend) {
goto L40;
}
goto L140;
} else {
/* QR Iteration */
/* Look for small superdiagonal element. */
L90:
L90:
if (l != lend) {
lendp1 = lend + 1;
i__1 = lendp1;
for (m = l; m >= i__1; --m) {
/* Computing 2nd power */
d__2 = (d__1 = e[m - 1], abs(d__1));
tst = d__2 * d__2;
if (tst <= eps2 * (d__1 = d__[m], abs(d__1)) * (d__2 = d__[m
- 1], abs(d__2)) + safmin) {
if (tst <=
eps2 * (d__1 = d__[m], abs(d__1)) * (d__2 = d__[m - 1], abs(d__2)) + safmin) {
goto L110;
}
/* L100: */
}
}
m = lend;
L110:
L110:
if (m > lend) {
e[m - 1] = 0.;
}
@ -529,19 +260,13 @@ L110:
if (m == l) {
goto L130;
}
/* If remaining matrix is 2-by-2, use DLAE2 or SLAEV2 */
/* to compute its eigensystem. */
if (m == l - 1) {
if (icompz > 0) {
dlaev2_(&d__[l - 1], &e[l - 1], &d__[l], &rt1, &rt2, &c__, &s)
;
dlaev2_(&d__[l - 1], &e[l - 1], &d__[l], &rt1, &rt2, &c__, &s);
work[m] = c__;
work[*n - 1 + m] = s;
dlasr_((char *)"R", (char *)"V", (char *)"F", n, &c__2, &work[m], &work[*n - 1 + m], &
z__[(l - 1) * z_dim1 + 1], ldz, (ftnlen)1, (ftnlen)1,
(ftnlen)1);
dlasr_((char *)"R", (char *)"V", (char *)"F", n, &c__2, &work[m], &work[*n - 1 + m],
&z__[(l - 1) * z_dim1 + 1], ldz, (ftnlen)1, (ftnlen)1, (ftnlen)1);
} else {
dlae2_(&d__[l - 1], &e[l - 1], &d__[l], &rt1, &rt2);
}
@ -554,24 +279,16 @@ L110:
}
goto L140;
}
if (jtot == nmaxit) {
goto L140;
}
++jtot;
/* Form shift. */
g = (d__[l - 1] - p) / (e[l - 1] * 2.);
r__ = dlapy2_(&g, &c_b10);
g = d__[m] - p + e[l - 1] / (g + d_lmp_sign(&r__, &g));
s = 1.;
c__ = 1.;
p = 0.;
/* Inner loop */
lm1 = l - 1;
i__1 = lm1;
for (i__ = m; i__ <= i__1; ++i__) {
@ -586,64 +303,39 @@ L110:
p = s * r__;
d__[i__] = g + p;
g = c__ * r__ - b;
/* If eigenvectors are desired, then save rotations. */
if (icompz > 0) {
work[i__] = c__;
work[*n - 1 + i__] = s;
}
/* L120: */
}
/* If eigenvectors are desired, then apply saved rotations. */
if (icompz > 0) {
mm = l - m + 1;
dlasr_((char *)"R", (char *)"V", (char *)"F", n, &mm, &work[m], &work[*n - 1 + m], &z__[m
* z_dim1 + 1], ldz, (ftnlen)1, (ftnlen)1, (ftnlen)1);
dlasr_((char *)"R", (char *)"V", (char *)"F", n, &mm, &work[m], &work[*n - 1 + m], &z__[m * z_dim1 + 1], ldz,
(ftnlen)1, (ftnlen)1, (ftnlen)1);
}
d__[l] -= p;
e[lm1] = g;
goto L90;
/* Eigenvalue found. */
L130:
L130:
d__[l] = p;
--l;
if (l >= lend) {
goto L90;
}
goto L140;
}
/* Undo scaling if necessary */
L140:
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);
dlascl_((char *)"G", &c__0, &c__0, &ssfmax, &anorm, &i__1, &c__1, &d__[lsv], n, info, (ftnlen)1);
i__1 = lendsv - lsv;
dlascl_((char *)"G", &c__0, &c__0, &ssfmax, &anorm, &i__1, &c__1, &e[lsv], n,
info, (ftnlen)1);
dlascl_((char *)"G", &c__0, &c__0, &ssfmax, &anorm, &i__1, &c__1, &e[lsv], n, info, (ftnlen)1);
} else 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);
dlascl_((char *)"G", &c__0, &c__0, &ssfmin, &anorm, &i__1, &c__1, &d__[lsv], n, info, (ftnlen)1);
i__1 = lendsv - lsv;
dlascl_((char *)"G", &c__0, &c__0, &ssfmin, &anorm, &i__1, &c__1, &e[lsv], n,
info, (ftnlen)1);
dlascl_((char *)"G", &c__0, &c__0, &ssfmin, &anorm, &i__1, &c__1, &e[lsv], n, info, (ftnlen)1);
}
/* Check for no convergence to an eigenvalue after a total */
/* of N*MAXIT iterations. */
if (jtot < nmaxit) {
goto L10;
}
@ -652,23 +344,12 @@ L140:
if (e[i__] != 0.) {
++(*info);
}
/* L150: */
}
goto L190;
/* Order eigenvalues and eigenvectors. */
L160:
if (icompz == 0) {
/* Use Quick Sort */
dlasrt_((char *)"I", n, &d__[1], info, (ftnlen)1);
} else {
/* Use Selection Sort to minimize swaps of eigenvectors */
i__1 = *n;
for (ii = 2; ii <= i__1; ++ii) {
i__ = ii - 1;
@ -680,25 +361,17 @@ L160:
k = j;
p = d__[j];
}
/* L170: */
}
if (k != i__) {
d__[k] = d__[i__];
d__[i__] = p;
dswap_(n, &z__[i__ * z_dim1 + 1], &c__1, &z__[k * z_dim1 + 1],
&c__1);
dswap_(n, &z__[i__ * z_dim1 + 1], &c__1, &z__[k * z_dim1 + 1], &c__1);
}
/* L180: */
}
}
L190:
return 0;
/* End of DSTEQR */
} /* dsteqr_ */
}
#ifdef __cplusplus
}
}
#endif