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1 namespace Eigen {
2 
3 namespace internal {
4 
5 template <typename Scalar>
rwupdt(Matrix<Scalar,Dynamic,Dynamic> & r,const Matrix<Scalar,Dynamic,1> & w,Matrix<Scalar,Dynamic,1> & b,Scalar alpha)6 void rwupdt(
7         Matrix< Scalar, Dynamic, Dynamic >  &r,
8         const Matrix< Scalar, Dynamic, 1>  &w,
9         Matrix< Scalar, Dynamic, 1>  &b,
10         Scalar alpha)
11 {
12     typedef DenseIndex Index;
13 
14     const Index n = r.cols();
15     eigen_assert(r.rows()>=n);
16     std::vector<JacobiRotation<Scalar> > givens(n);
17 
18     /* Local variables */
19     Scalar temp, rowj;
20 
21     /* Function Body */
22     for (Index j = 0; j < n; ++j) {
23         rowj = w[j];
24 
25         /* apply the previous transformations to */
26         /* r(i,j), i=0,1,...,j-1, and to w(j). */
27         for (Index i = 0; i < j; ++i) {
28             temp = givens[i].c() * r(i,j) + givens[i].s() * rowj;
29             rowj = -givens[i].s() * r(i,j) + givens[i].c() * rowj;
30             r(i,j) = temp;
31         }
32 
33         /* determine a givens rotation which eliminates w(j). */
34         givens[j].makeGivens(-r(j,j), rowj);
35 
36         if (rowj == 0.)
37             continue; // givens[j] is identity
38 
39         /* apply the current transformation to r(j,j), b(j), and alpha. */
40         r(j,j) = givens[j].c() * r(j,j) + givens[j].s() * rowj;
41         temp = givens[j].c() * b[j] + givens[j].s() * alpha;
42         alpha = -givens[j].s() * b[j] + givens[j].c() * alpha;
43         b[j] = temp;
44     }
45 }
46 
47 } // end namespace internal
48 
49 } // end namespace Eigen
50