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whitespace fixes

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This commit is contained in:
Axel Kohlmeyer
2022-12-28 13:47:11 -05:00
parent a894cbfbb7
commit 1e8b2ad5a0
194 changed files with 24511 additions and 24511 deletions
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252
lib/linalg/zhetd2.cpp
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@ -1,13 +1,13 @@
/* fortran/zhetd2.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
@ -197,9 +197,9 @@ f"> */
/* > \endverbatim */
/* > */
/* ===================================================================== */
/* Subroutine */ int zhetd2_(char *uplo, integer *n, doublecomplex *a,
integer *lda, doublereal *d__, doublereal *e, doublecomplex *tau,
integer *info, ftnlen uplo_len)
/* Subroutine */ int zhetd2_(char *uplo, integer *n, doublecomplex *a,
integer *lda, doublereal *d__, doublereal *e, doublecomplex *tau,
integer *info, ftnlen uplo_len)
{
/* System generated locals */
integer a_dim1, a_offset, i__1, i__2, i__3;
@ -209,21 +209,21 @@ f"> */
/* Local variables */
integer i__;
doublecomplex taui;
extern /* Subroutine */ int zher2_(char *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, ftnlen);
extern /* Subroutine */ int zher2_(char *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, ftnlen);
doublecomplex alpha;
extern logical lsame_(char *, char *, ftnlen, ftnlen);
extern /* Double Complex */ VOID zdotc_(doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *);
extern /* Subroutine */ int zhemv_(char *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, doublecomplex *, integer *, ftnlen);
extern /* Double Complex */ VOID zdotc_(doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *);
extern /* Subroutine */ int zhemv_(char *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, doublecomplex *, integer *, ftnlen);
logical upper;
extern /* Subroutine */ int zaxpy_(integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *), xerbla_(
char *, integer *, ftnlen), zlarfg_(integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *);
extern /* Subroutine */ int zaxpy_(integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *), xerbla_(
char *, integer *, ftnlen), zlarfg_(integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *);
/* -- LAPACK computational routine -- */
@ -263,169 +263,169 @@ f"> */
*info = 0;
upper = lsame_(uplo, (char *)"U", (ftnlen)1, (ftnlen)1);
if (! upper && ! lsame_(uplo, (char *)"L", (ftnlen)1, (ftnlen)1)) {
*info = -1;
*info = -1;
} else if (*n < 0) {
*info = -2;
*info = -2;
} else if (*lda < max(1,*n)) {
*info = -4;
*info = -4;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_((char *)"ZHETD2", &i__1, (ftnlen)6);
return 0;
i__1 = -(*info);
xerbla_((char *)"ZHETD2", &i__1, (ftnlen)6);
return 0;
}
/* Quick return if possible */
if (*n <= 0) {
return 0;
return 0;
}
if (upper) {
/* Reduce the upper triangle of A */
i__1 = *n + *n * a_dim1;
i__2 = *n + *n * a_dim1;
d__1 = a[i__2].r;
a[i__1].r = d__1, a[i__1].i = 0.;
for (i__ = *n - 1; i__ >= 1; --i__) {
i__1 = *n + *n * a_dim1;
i__2 = *n + *n * a_dim1;
d__1 = a[i__2].r;
a[i__1].r = d__1, a[i__1].i = 0.;
for (i__ = *n - 1; i__ >= 1; --i__) {
/* Generate elementary reflector H(i) = I - tau * v * v**H */
/* to annihilate A(1:i-1,i+1) */
i__1 = i__ + (i__ + 1) * a_dim1;
alpha.r = a[i__1].r, alpha.i = a[i__1].i;
zlarfg_(&i__, &alpha, &a[(i__ + 1) * a_dim1 + 1], &c__1, &taui);
e[i__] = alpha.r;
i__1 = i__ + (i__ + 1) * a_dim1;
alpha.r = a[i__1].r, alpha.i = a[i__1].i;
zlarfg_(&i__, &alpha, &a[(i__ + 1) * a_dim1 + 1], &c__1, &taui);
e[i__] = alpha.r;
if (taui.r != 0. || taui.i != 0.) {
if (taui.r != 0. || taui.i != 0.) {
/* Apply H(i) from both sides to A(1:i,1:i) */
i__1 = i__ + (i__ + 1) * a_dim1;
a[i__1].r = 1., a[i__1].i = 0.;
i__1 = i__ + (i__ + 1) * a_dim1;
a[i__1].r = 1., a[i__1].i = 0.;
/* Compute x := tau * A * v storing x in TAU(1:i) */
zhemv_(uplo, &i__, &taui, &a[a_offset], lda, &a[(i__ + 1) *
a_dim1 + 1], &c__1, &c_b2, &tau[1], &c__1, (ftnlen)1);
zhemv_(uplo, &i__, &taui, &a[a_offset], lda, &a[(i__ + 1) *
a_dim1 + 1], &c__1, &c_b2, &tau[1], &c__1, (ftnlen)1);
/* Compute w := x - 1/2 * tau * (x**H * v) * v */
z__3.r = -.5, z__3.i = -0.;
z__2.r = z__3.r * taui.r - z__3.i * taui.i, z__2.i = z__3.r *
taui.i + z__3.i * taui.r;
zdotc_(&z__4, &i__, &tau[1], &c__1, &a[(i__ + 1) * a_dim1 + 1]
, &c__1);
z__1.r = z__2.r * z__4.r - z__2.i * z__4.i, z__1.i = z__2.r *
z__4.i + z__2.i * z__4.r;
alpha.r = z__1.r, alpha.i = z__1.i;
zaxpy_(&i__, &alpha, &a[(i__ + 1) * a_dim1 + 1], &c__1, &tau[
1], &c__1);
z__3.r = -.5, z__3.i = -0.;
z__2.r = z__3.r * taui.r - z__3.i * taui.i, z__2.i = z__3.r *
taui.i + z__3.i * taui.r;
zdotc_(&z__4, &i__, &tau[1], &c__1, &a[(i__ + 1) * a_dim1 + 1]
, &c__1);
z__1.r = z__2.r * z__4.r - z__2.i * z__4.i, z__1.i = z__2.r *
z__4.i + z__2.i * z__4.r;
alpha.r = z__1.r, alpha.i = z__1.i;
zaxpy_(&i__, &alpha, &a[(i__ + 1) * a_dim1 + 1], &c__1, &tau[
1], &c__1);
/* Apply the transformation as a rank-2 update: */
/* A := A - v * w**H - w * v**H */
z__1.r = -1., z__1.i = -0.;
zher2_(uplo, &i__, &z__1, &a[(i__ + 1) * a_dim1 + 1], &c__1, &
tau[1], &c__1, &a[a_offset], lda, (ftnlen)1);
z__1.r = -1., z__1.i = -0.;
zher2_(uplo, &i__, &z__1, &a[(i__ + 1) * a_dim1 + 1], &c__1, &
tau[1], &c__1, &a[a_offset], lda, (ftnlen)1);
} else {
i__1 = i__ + i__ * a_dim1;
i__2 = i__ + i__ * a_dim1;
d__1 = a[i__2].r;
a[i__1].r = d__1, a[i__1].i = 0.;
}
i__1 = i__ + (i__ + 1) * a_dim1;
i__2 = i__;
a[i__1].r = e[i__2], a[i__1].i = 0.;
i__1 = i__ + 1 + (i__ + 1) * a_dim1;
d__[i__ + 1] = a[i__1].r;
i__1 = i__;
tau[i__1].r = taui.r, tau[i__1].i = taui.i;
} else {
i__1 = i__ + i__ * a_dim1;
i__2 = i__ + i__ * a_dim1;
d__1 = a[i__2].r;
a[i__1].r = d__1, a[i__1].i = 0.;
}
i__1 = i__ + (i__ + 1) * a_dim1;
i__2 = i__;
a[i__1].r = e[i__2], a[i__1].i = 0.;
i__1 = i__ + 1 + (i__ + 1) * a_dim1;
d__[i__ + 1] = a[i__1].r;
i__1 = i__;
tau[i__1].r = taui.r, tau[i__1].i = taui.i;
/* L10: */
}
i__1 = a_dim1 + 1;
d__[1] = a[i__1].r;
}
i__1 = a_dim1 + 1;
d__[1] = a[i__1].r;
} else {
/* Reduce the lower triangle of A */
i__1 = a_dim1 + 1;
i__2 = a_dim1 + 1;
d__1 = a[i__2].r;
a[i__1].r = d__1, a[i__1].i = 0.;
i__1 = *n - 1;
for (i__ = 1; i__ <= i__1; ++i__) {
i__1 = a_dim1 + 1;
i__2 = a_dim1 + 1;
d__1 = a[i__2].r;
a[i__1].r = d__1, a[i__1].i = 0.;
i__1 = *n - 1;
for (i__ = 1; i__ <= i__1; ++i__) {
/* Generate elementary reflector H(i) = I - tau * v * v**H */
/* to annihilate A(i+2:n,i) */
i__2 = i__ + 1 + i__ * a_dim1;
alpha.r = a[i__2].r, alpha.i = a[i__2].i;
i__2 = *n - i__;
i__2 = i__ + 1 + i__ * a_dim1;
alpha.r = a[i__2].r, alpha.i = a[i__2].i;
i__2 = *n - i__;
/* Computing MIN */
i__3 = i__ + 2;
zlarfg_(&i__2, &alpha, &a[min(i__3,*n) + i__ * a_dim1], &c__1, &
taui);
e[i__] = alpha.r;
i__3 = i__ + 2;
zlarfg_(&i__2, &alpha, &a[min(i__3,*n) + i__ * a_dim1], &c__1, &
taui);
e[i__] = alpha.r;
if (taui.r != 0. || taui.i != 0.) {
if (taui.r != 0. || taui.i != 0.) {
/* Apply H(i) from both sides to A(i+1:n,i+1:n) */
i__2 = i__ + 1 + i__ * a_dim1;
a[i__2].r = 1., a[i__2].i = 0.;
i__2 = i__ + 1 + i__ * a_dim1;
a[i__2].r = 1., a[i__2].i = 0.;
/* Compute x := tau * A * v storing y in TAU(i:n-1) */
i__2 = *n - i__;
zhemv_(uplo, &i__2, &taui, &a[i__ + 1 + (i__ + 1) * a_dim1],
lda, &a[i__ + 1 + i__ * a_dim1], &c__1, &c_b2, &tau[
i__], &c__1, (ftnlen)1);
i__2 = *n - i__;
zhemv_(uplo, &i__2, &taui, &a[i__ + 1 + (i__ + 1) * a_dim1],
lda, &a[i__ + 1 + i__ * a_dim1], &c__1, &c_b2, &tau[
i__], &c__1, (ftnlen)1);
/* Compute w := x - 1/2 * tau * (x**H * v) * v */
z__3.r = -.5, z__3.i = -0.;
z__2.r = z__3.r * taui.r - z__3.i * taui.i, z__2.i = z__3.r *
taui.i + z__3.i * taui.r;
i__2 = *n - i__;
zdotc_(&z__4, &i__2, &tau[i__], &c__1, &a[i__ + 1 + i__ *
a_dim1], &c__1);
z__1.r = z__2.r * z__4.r - z__2.i * z__4.i, z__1.i = z__2.r *
z__4.i + z__2.i * z__4.r;
alpha.r = z__1.r, alpha.i = z__1.i;
i__2 = *n - i__;
zaxpy_(&i__2, &alpha, &a[i__ + 1 + i__ * a_dim1], &c__1, &tau[
i__], &c__1);
z__3.r = -.5, z__3.i = -0.;
z__2.r = z__3.r * taui.r - z__3.i * taui.i, z__2.i = z__3.r *
taui.i + z__3.i * taui.r;
i__2 = *n - i__;
zdotc_(&z__4, &i__2, &tau[i__], &c__1, &a[i__ + 1 + i__ *
a_dim1], &c__1);
z__1.r = z__2.r * z__4.r - z__2.i * z__4.i, z__1.i = z__2.r *
z__4.i + z__2.i * z__4.r;
alpha.r = z__1.r, alpha.i = z__1.i;
i__2 = *n - i__;
zaxpy_(&i__2, &alpha, &a[i__ + 1 + i__ * a_dim1], &c__1, &tau[
i__], &c__1);
/* Apply the transformation as a rank-2 update: */
/* A := A - v * w**H - w * v**H */
i__2 = *n - i__;
z__1.r = -1., z__1.i = -0.;
zher2_(uplo, &i__2, &z__1, &a[i__ + 1 + i__ * a_dim1], &c__1,
&tau[i__], &c__1, &a[i__ + 1 + (i__ + 1) * a_dim1],
lda, (ftnlen)1);
i__2 = *n - i__;
z__1.r = -1., z__1.i = -0.;
zher2_(uplo, &i__2, &z__1, &a[i__ + 1 + i__ * a_dim1], &c__1,
&tau[i__], &c__1, &a[i__ + 1 + (i__ + 1) * a_dim1],
lda, (ftnlen)1);
} else {
i__2 = i__ + 1 + (i__ + 1) * a_dim1;
i__3 = i__ + 1 + (i__ + 1) * a_dim1;
d__1 = a[i__3].r;
a[i__2].r = d__1, a[i__2].i = 0.;
}
i__2 = i__ + 1 + i__ * a_dim1;
i__3 = i__;
a[i__2].r = e[i__3], a[i__2].i = 0.;
i__2 = i__ + i__ * a_dim1;
d__[i__] = a[i__2].r;
i__2 = i__;
tau[i__2].r = taui.r, tau[i__2].i = taui.i;
} else {
i__2 = i__ + 1 + (i__ + 1) * a_dim1;
i__3 = i__ + 1 + (i__ + 1) * a_dim1;
d__1 = a[i__3].r;
a[i__2].r = d__1, a[i__2].i = 0.;
}
i__2 = i__ + 1 + i__ * a_dim1;
i__3 = i__;
a[i__2].r = e[i__3], a[i__2].i = 0.;
i__2 = i__ + i__ * a_dim1;
d__[i__] = a[i__2].r;
i__2 = i__;
tau[i__2].r = taui.r, tau[i__2].i = taui.i;
/* L20: */
}
i__1 = *n + *n * a_dim1;
d__[*n] = a[i__1].r;
}
i__1 = *n + *n * a_dim1;
d__[*n] = a[i__1].r;
}
return 0;
@ -435,5 +435,5 @@ f"> */
} /* zhetd2_ */
#ifdef __cplusplus
}
}
#endif