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use PlanarRotation<> instead of handmade givens rotation in cminpack code
+ cleaning. This results in some more memory being used, but not much.
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@@ -2,46 +2,21 @@
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// TODO : move this to GivensQR once there's such a thing in Eigen
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template <typename Scalar>
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void ei_r1mpyq(int m, int n, Scalar *a, const Scalar *v, const Scalar *w)
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void ei_r1mpyq(int m, int n, Scalar *a, const std::vector<PlanarRotation<Scalar> > &v_givens, const std::vector<PlanarRotation<Scalar> > &w_givens)
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{
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/* Local variables */
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int i, j;
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Scalar cos__=0., sin__=0., temp;
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/* Function Body */
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if (n<=1)
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return;
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/* apply the first set of givens rotations to a. */
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for (j = n-2; j>=0; --j) {
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if (ei_abs(v[j]) > 1.) {
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cos__ = 1. / v[j];
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sin__ = ei_sqrt(1. - ei_abs2(cos__));
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} else {
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sin__ = v[j];
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cos__ = ei_sqrt(1. - ei_abs2(sin__));
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}
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for (i = 0; i<m; ++i) {
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temp = cos__ * a[i+m*j] - sin__ * a[i+m*(n-1)];
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a[i+m*(n-1)] = sin__ * a[i+m*j] + cos__ * a[i+m*(n-1)];
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for (int j = n-2; j>=0; --j)
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for (int i = 0; i<m; ++i) {
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Scalar temp = v_givens[j].c() * a[i+m*j] - v_givens[j].s() * a[i+m*(n-1)];
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a[i+m*(n-1)] = v_givens[j].s() * a[i+m*j] + v_givens[j].c() * a[i+m*(n-1)];
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a[i+m*j] = temp;
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}
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}
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/* apply the second set of givens rotations to a. */
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for (j = 0; j<n-1; ++j) {
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if (ei_abs(w[j]) > 1.) {
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cos__ = 1. / w[j];
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sin__ = ei_sqrt(1. - ei_abs2(cos__));
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} else {
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sin__ = w[j];
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cos__ = ei_sqrt(1. - ei_abs2(sin__));
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}
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for (i = 0; i<m; ++i) {
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temp = cos__ * a[i+m*j] + sin__ * a[i+m*(n-1)];
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a[i+m*(n-1)] = -sin__ * a[i+m*j] + cos__ * a[i+m*(n-1)];
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for (int j = 0; j<n-1; ++j)
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for (int i = 0; i<m; ++i) {
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Scalar temp = w_givens[j].c() * a[i+m*j] + w_givens[j].s() * a[i+m*(n-1)];
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a[i+m*(n-1)] = -w_givens[j].s() * a[i+m*j] + w_givens[j].c() * a[i+m*(n-1)];
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a[i+m*j] = temp;
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}
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}
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return;
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}
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