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      1 namespace Eigen {
      2 
      3 namespace internal {
      4 
      5 // TODO : move this to GivensQR once there's such a thing in Eigen
      6 
      7 template <typename Scalar>
      8 void r1mpyq(DenseIndex m, DenseIndex n, Scalar *a, const std::vector<JacobiRotation<Scalar> > &v_givens, const std::vector<JacobiRotation<Scalar> > &w_givens)
      9 {
     10     typedef DenseIndex Index;
     11 
     12     /*     apply the first set of givens rotations to a. */
     13     for (Index j = n-2; j>=0; --j)
     14         for (Index i = 0; i<m; ++i) {
     15             Scalar temp = v_givens[j].c() * a[i+m*j] - v_givens[j].s() * a[i+m*(n-1)];
     16             a[i+m*(n-1)] = v_givens[j].s() * a[i+m*j] + v_givens[j].c() * a[i+m*(n-1)];
     17             a[i+m*j] = temp;
     18         }
     19     /*     apply the second set of givens rotations to a. */
     20     for (Index j = 0; j<n-1; ++j)
     21         for (Index i = 0; i<m; ++i) {
     22             Scalar temp = w_givens[j].c() * a[i+m*j] + w_givens[j].s() * a[i+m*(n-1)];
     23             a[i+m*(n-1)] = -w_givens[j].s() * a[i+m*j] + w_givens[j].c() * a[i+m*(n-1)];
     24             a[i+m*j] = temp;
     25         }
     26 }
     27 
     28 } // end namespace internal
     29 
     30 } // end namespace Eigen
     31