2009-11-09 03:27:15 +01:00

81 lines
1.8 KiB
C++

template <typename Scalar>
void ei_rwupdt(int n, Scalar *r__, int ldr,
const Scalar *w, Scalar *b, Scalar *alpha, Scalar *cos__,
Scalar *sin__)
{
/* System generated locals */
int r_dim1, r_offset;
/* Local variables */
int i, j, jm1;
Scalar tan__, temp, rowj, cotan;
/* Parameter adjustments */
--sin__;
--cos__;
--b;
--w;
r_dim1 = ldr;
r_offset = 1 + r_dim1 * 1;
r__ -= r_offset;
/* Function Body */
for (j = 1; j <= n; ++j) {
rowj = w[j];
jm1 = j - 1;
/* apply the previous transformations to */
/* r(i,j), i=1,2,...,j-1, and to w(j). */
if (jm1 < 1) {
goto L20;
}
for (i = 1; i <= jm1; ++i) {
temp = cos__[i] * r__[i + j * r_dim1] + sin__[i] * rowj;
rowj = -sin__[i] * r__[i + j * r_dim1] + cos__[i] * rowj;
r__[i + j * r_dim1] = temp;
/* L10: */
}
L20:
/* determine a givens rotation which eliminates w(j). */
cos__[j] = 1.;
sin__[j] = 0.;
if (rowj == 0.) {
goto L50;
}
if (ei_abs(r__[j + j * r_dim1]) >= ei_abs(rowj))
goto L30;
cotan = r__[j + j * r_dim1] / rowj;
/* Computing 2nd power */
sin__[j] = Scalar(.5) / ei_sqrt(Scalar(0.25) + Scalar(0.25) * ei_abs2(cotan));
cos__[j] = sin__[j] * cotan;
goto L40;
L30:
tan__ = rowj / r__[j + j * r_dim1];
/* Computing 2nd power */
cos__[j] = Scalar(.5) / ei_sqrt(Scalar(0.25) + Scalar(0.25) * ei_abs2(tan__));
sin__[j] = cos__[j] * tan__;
L40:
/* apply the current transformation to r(j,j), b(j), and alpha. */
r__[j + j * r_dim1] = cos__[j] * r__[j + j * r_dim1] + sin__[j] *
rowj;
temp = cos__[j] * b[j] + sin__[j] * *alpha;
*alpha = -sin__[j] * b[j] + cos__[j] * *alpha;
b[j] = temp;
L50:
/* L60: */
;
}
return;
/* last card of subroutine rwupdt. */
} /* rwupdt_ */