product_trsolve.cpp File Reference

#include "main.h"

Macros
#define	VERIFY_TRSM(TRI, XB)
#define	VERIFY_TRSM_ONTHERIGHT(TRI, XB)

Functions
template<typename Scalar , int Size, int Cols>
void	trsolve (int size=Size, int cols=Cols)
	EIGEN_DECLARE_TEST (product_trsolve)

Macro Definition Documentation

VERIFY_TRSM

#define VERIFY_TRSM	(		TRI,
			XB
	)

Value:

  {                                                      \
    (XB).setRandom();                                    \
    ref = (XB);                                          \
    (TRI).solveInPlace(XB);                              \
    VERIFY_IS_APPROX((TRI).toDenseMatrix() * (XB), ref); \
    (XB).setRandom();                                    \
    ref = (XB);                                          \
    (XB) = (TRI).solve(XB);                              \
    VERIFY_IS_APPROX((TRI).toDenseMatrix() * (XB), ref); \
  }

VERIFY_TRSM_ONTHERIGHT

#define VERIFY_TRSM_ONTHERIGHT	(		TRI,
			XB
	)

Value:

  {                                                                                          \
    (XB).setRandom();                                                                        \
    ref = (XB);                                                                              \
    (TRI).transpose().template solveInPlace<OnTheRight>(XB.transpose());                     \
    VERIFY_IS_APPROX((XB).transpose() * (TRI).transpose().toDenseMatrix(), ref.transpose()); \
    (XB).setRandom();                                                                        \
    ref = (XB);                                                                              \
    (XB).transpose() = (TRI).transpose().template solve<OnTheRight>(XB.transpose());         \
    VERIFY_IS_APPROX((XB).transpose() * (TRI).transpose().toDenseMatrix(), ref.transpose()); \
  }

Function Documentation

EIGEN_DECLARE_TEST()

EIGEN_DECLARE_TEST

(

product_trsolve

)

                                    {
  for (int i = 0; i < g_repeat; i++) {
    // matrices
    CALL_SUBTEST_1((trsolve<float, Dynamic, Dynamic>(internal::random<int>(1, EIGEN_TEST_MAX_SIZE),
                                                     internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
    CALL_SUBTEST_2((trsolve<double, Dynamic, Dynamic>(internal::random<int>(1, EIGEN_TEST_MAX_SIZE),
                                                      internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
    CALL_SUBTEST_3((trsolve<std::complex<float>, Dynamic, Dynamic>(internal::random<int>(1, EIGEN_TEST_MAX_SIZE / 2),
                                                                   internal::random<int>(1, EIGEN_TEST_MAX_SIZE / 2))));
    CALL_SUBTEST_4((trsolve<std::complex<double>, Dynamic, Dynamic>(
        internal::random<int>(1, EIGEN_TEST_MAX_SIZE / 2), internal::random<int>(1, EIGEN_TEST_MAX_SIZE / 2))));
 
    // vectors
    CALL_SUBTEST_5((trsolve<float, Dynamic, 1>(internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
    CALL_SUBTEST_6((trsolve<double, Dynamic, 1>(internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
    CALL_SUBTEST_7((trsolve<std::complex<float>, Dynamic, 1>(internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
    CALL_SUBTEST_8((trsolve<std::complex<double>, Dynamic, 1>(internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
 
    // meta-unrollers
    CALL_SUBTEST_9((trsolve<float, 4, 1>()));
    CALL_SUBTEST_10((trsolve<double, 4, 1>()));
    CALL_SUBTEST_11((trsolve<std::complex<float>, 4, 1>()));
    CALL_SUBTEST_12((trsolve<float, 1, 1>()));
    CALL_SUBTEST_13((trsolve<float, 1, 2>()));
    CALL_SUBTEST_14((trsolve<float, 3, 1>()));
  }
}

References CALL_SUBTEST_1, CALL_SUBTEST_10, CALL_SUBTEST_11, CALL_SUBTEST_12, CALL_SUBTEST_13, CALL_SUBTEST_14, CALL_SUBTEST_2, CALL_SUBTEST_3, CALL_SUBTEST_4, CALL_SUBTEST_5, CALL_SUBTEST_6, CALL_SUBTEST_7, CALL_SUBTEST_8, CALL_SUBTEST_9, Eigen::Dynamic, EIGEN_TEST_MAX_SIZE, Eigen::g_repeat, i, and trsolve().

trsolve()

template<typename Scalar , int Size, int Cols>

void trsolve	(	int	size = Size,
		int	cols = Cols
	)

                                               {
  typedef typename NumTraits<Scalar>::Real RealScalar;
 
  Matrix<Scalar, Size, Size, ColMajor> cmLhs(size, size);
  Matrix<Scalar, Size, Size, RowMajor> rmLhs(size, size);
 
  enum { colmajor = Size == 1 ? RowMajor : ColMajor, rowmajor = Cols == 1 ? ColMajor : RowMajor };
  Matrix<Scalar, Size, Cols, colmajor> cmRhs(size, cols);
  Matrix<Scalar, Size, Cols, rowmajor> rmRhs(size, cols);
  Matrix<Scalar, Dynamic, Dynamic, colmajor> ref(size, cols);
 
  cmLhs.setRandom();
  cmLhs *= static_cast<RealScalar>(0.1);
  cmLhs.diagonal().array() += static_cast<RealScalar>(1);
  rmLhs.setRandom();
  rmLhs *= static_cast<RealScalar>(0.1);
  rmLhs.diagonal().array() += static_cast<RealScalar>(1);
 
  VERIFY_TRSM(cmLhs.conjugate().template triangularView<Lower>(), cmRhs);
  VERIFY_TRSM(cmLhs.adjoint().template triangularView<Lower>(), cmRhs);
  VERIFY_TRSM(cmLhs.template triangularView<Upper>(), cmRhs);
  VERIFY_TRSM(cmLhs.template triangularView<Lower>(), rmRhs);
  VERIFY_TRSM(cmLhs.conjugate().template triangularView<Upper>(), rmRhs);
  VERIFY_TRSM(cmLhs.adjoint().template triangularView<Upper>(), rmRhs);
 
  VERIFY_TRSM(cmLhs.conjugate().template triangularView<UnitLower>(), cmRhs);
  VERIFY_TRSM(cmLhs.template triangularView<UnitUpper>(), rmRhs);
 
  VERIFY_TRSM(rmLhs.template triangularView<Lower>(), cmRhs);
  VERIFY_TRSM(rmLhs.conjugate().template triangularView<UnitUpper>(), rmRhs);
 
  VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<Lower>(), cmRhs);
  VERIFY_TRSM_ONTHERIGHT(cmLhs.template triangularView<Upper>(), cmRhs);
  VERIFY_TRSM_ONTHERIGHT(cmLhs.template triangularView<Lower>(), rmRhs);
  VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<Upper>(), rmRhs);
 
  VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<UnitLower>(), cmRhs);
  VERIFY_TRSM_ONTHERIGHT(cmLhs.template triangularView<UnitUpper>(), rmRhs);
 
  VERIFY_TRSM_ONTHERIGHT(rmLhs.template triangularView<Lower>(), cmRhs);
  VERIFY_TRSM_ONTHERIGHT(rmLhs.conjugate().template triangularView<UnitUpper>(), rmRhs);
 
  int c = internal::random<int>(0, cols - 1);
  VERIFY_TRSM(rmLhs.template triangularView<Lower>(), rmRhs.col(c));
  VERIFY_TRSM(cmLhs.template triangularView<Lower>(), rmRhs.col(c));
 
  // destination with a non-default inner-stride
  // see bug 1741
  {
    typedef Matrix<Scalar, Dynamic, Dynamic> MatrixX;
    MatrixX buffer(2 * cmRhs.rows(), 2 * cmRhs.cols());
    Map<Matrix<Scalar, Size, Cols, colmajor>, 0, Stride<Dynamic, 2> > map1(
        buffer.data(), cmRhs.rows(), cmRhs.cols(), Stride<Dynamic, 2>(2 * cmRhs.outerStride(), 2));
    Map<Matrix<Scalar, Size, Cols, rowmajor>, 0, Stride<Dynamic, 2> > map2(
        buffer.data(), rmRhs.rows(), rmRhs.cols(), Stride<Dynamic, 2>(2 * rmRhs.outerStride(), 2));
    buffer.setZero();
    VERIFY_TRSM(cmLhs.conjugate().template triangularView<Lower>(), map1);
    buffer.setZero();
    VERIFY_TRSM(cmLhs.template triangularView<Lower>(), map2);
  }
 
  if (Size == Dynamic) {
    cmLhs.resize(0, 0);
    cmRhs.resize(0, cmRhs.cols());
    Matrix<Scalar, Size, Cols, colmajor> res = cmLhs.template triangularView<Lower>().solve(cmRhs);
    VERIFY_IS_EQUAL(res.rows(), 0);
    VERIFY_IS_EQUAL(res.cols(), cmRhs.cols());
    res = cmRhs;
    cmLhs.template triangularView<Lower>().solveInPlace(res);
    VERIFY_IS_EQUAL(res.rows(), 0);
    VERIFY_IS_EQUAL(res.cols(), cmRhs.cols());
  }
}

References calibrate::c, Eigen::ColMajor, cols, Eigen::PlainObjectBase< Derived >::cols(), Eigen::Dynamic, Eigen::Matrix< Scalar_, Rows_, Cols_, Options_, MaxRows_, MaxCols_ >::outerStride(), res, Eigen::PlainObjectBase< Derived >::resize(), Eigen::RowMajor, Eigen::PlainObjectBase< Derived >::rows(), Eigen::PlainObjectBase< Derived >::setRandom(), size, VERIFY_IS_EQUAL, VERIFY_TRSM, and VERIFY_TRSM_ONTHERIGHT.

Referenced by EIGEN_DECLARE_TEST().