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-rw-r--r--test/inverse.cpp101
1 files changed, 67 insertions, 34 deletions
diff --git a/test/inverse.cpp b/test/inverse.cpp
index 5c6777a18..9cedfa1e1 100644
--- a/test/inverse.cpp
+++ b/test/inverse.cpp
@@ -11,43 +11,26 @@
#include "main.h"
#include <Eigen/LU>
-template<typename MatrixType> void inverse(const MatrixType& m)
+template<typename MatrixType>
+void inverse_for_fixed_size(const MatrixType&, typename internal::enable_if<MatrixType::SizeAtCompileTime==Dynamic>::type* = 0)
{
- using std::abs;
- typedef typename MatrixType::Index Index;
- /* this test covers the following files:
- Inverse.h
- */
- Index rows = m.rows();
- Index cols = m.cols();
-
- typedef typename MatrixType::Scalar Scalar;
-
- MatrixType m1(rows, cols),
- m2(rows, cols),
- identity = MatrixType::Identity(rows, rows);
- createRandomPIMatrixOfRank(rows,rows,rows,m1);
- m2 = m1.inverse();
- VERIFY_IS_APPROX(m1, m2.inverse() );
-
- VERIFY_IS_APPROX((Scalar(2)*m2).inverse(), m2.inverse()*Scalar(0.5));
-
- VERIFY_IS_APPROX(identity, m1.inverse() * m1 );
- VERIFY_IS_APPROX(identity, m1 * m1.inverse() );
+}
- VERIFY_IS_APPROX(m1, m1.inverse().inverse() );
+template<typename MatrixType>
+void inverse_for_fixed_size(const MatrixType& m1, typename internal::enable_if<MatrixType::SizeAtCompileTime!=Dynamic>::type* = 0)
+{
+ using std::abs;
- // since for the general case we implement separately row-major and col-major, test that
- VERIFY_IS_APPROX(MatrixType(m1.transpose().inverse()), MatrixType(m1.inverse().transpose()));
+ MatrixType m2, identity = MatrixType::Identity();
-#if !defined(EIGEN_TEST_PART_5) && !defined(EIGEN_TEST_PART_6)
+ typedef typename MatrixType::Scalar Scalar;
typedef typename NumTraits<Scalar>::Real RealScalar;
typedef Matrix<Scalar, MatrixType::ColsAtCompileTime, 1> VectorType;
//computeInverseAndDetWithCheck tests
//First: an invertible matrix
bool invertible;
- RealScalar det;
+ Scalar det;
m2.setZero();
m1.computeInverseAndDetWithCheck(m2, det, invertible);
@@ -61,23 +44,52 @@ template<typename MatrixType> void inverse(const MatrixType& m)
VERIFY_IS_APPROX(identity, m1*m2);
//Second: a rank one matrix (not invertible, except for 1x1 matrices)
- VectorType v3 = VectorType::Random(rows);
- MatrixType m3 = v3*v3.transpose(), m4(rows,cols);
+ VectorType v3 = VectorType::Random();
+ MatrixType m3 = v3*v3.transpose(), m4;
m3.computeInverseAndDetWithCheck(m4, det, invertible);
- VERIFY( rows==1 ? invertible : !invertible );
+ VERIFY( m1.rows()==1 ? invertible : !invertible );
VERIFY_IS_MUCH_SMALLER_THAN(abs(det-m3.determinant()), RealScalar(1));
m3.computeInverseWithCheck(m4, invertible);
- VERIFY( rows==1 ? invertible : !invertible );
+ VERIFY( m1.rows()==1 ? invertible : !invertible );
// check with submatrices
{
Matrix<Scalar, MatrixType::RowsAtCompileTime+1, MatrixType::RowsAtCompileTime+1, MatrixType::Options> m5;
m5.setRandom();
- m5.topLeftCorner(rows,rows) = m1;
+ m5.topLeftCorner(m1.rows(),m1.rows()) = m1;
m2 = m5.template topLeftCorner<MatrixType::RowsAtCompileTime,MatrixType::ColsAtCompileTime>().inverse();
VERIFY_IS_APPROX( (m5.template topLeftCorner<MatrixType::RowsAtCompileTime,MatrixType::ColsAtCompileTime>()), m2.inverse() );
}
-#endif
+}
+
+template<typename MatrixType> void inverse(const MatrixType& m)
+{
+ /* this test covers the following files:
+ Inverse.h
+ */
+ Index rows = m.rows();
+ Index cols = m.cols();
+
+ typedef typename MatrixType::Scalar Scalar;
+
+ MatrixType m1(rows, cols),
+ m2(rows, cols),
+ identity = MatrixType::Identity(rows, rows);
+ createRandomPIMatrixOfRank(rows,rows,rows,m1);
+ m2 = m1.inverse();
+ VERIFY_IS_APPROX(m1, m2.inverse() );
+
+ VERIFY_IS_APPROX((Scalar(2)*m2).inverse(), m2.inverse()*Scalar(0.5));
+
+ VERIFY_IS_APPROX(identity, m1.inverse() * m1 );
+ VERIFY_IS_APPROX(identity, m1 * m1.inverse() );
+
+ VERIFY_IS_APPROX(m1, m1.inverse().inverse() );
+
+ // since for the general case we implement separately row-major and col-major, test that
+ VERIFY_IS_APPROX(MatrixType(m1.transpose().inverse()), MatrixType(m1.inverse().transpose()));
+
+ inverse_for_fixed_size(m1);
// check in-place inversion
if(MatrixType::RowsAtCompileTime>=2 && MatrixType::RowsAtCompileTime<=4)
@@ -93,7 +105,23 @@ template<typename MatrixType> void inverse(const MatrixType& m)
}
}
-void test_inverse()
+template<typename Scalar>
+void inverse_zerosized()
+{
+ Matrix<Scalar,Dynamic,Dynamic> A(0,0);
+ {
+ Matrix<Scalar,0,1> b, x;
+ x = A.inverse() * b;
+ }
+ {
+ Matrix<Scalar,Dynamic,Dynamic> b(0,1), x;
+ x = A.inverse() * b;
+ VERIFY_IS_EQUAL(x.rows(), 0);
+ VERIFY_IS_EQUAL(x.cols(), 1);
+ }
+}
+
+EIGEN_DECLARE_TEST(inverse)
{
int s = 0;
for(int i = 0; i < g_repeat; i++) {
@@ -106,6 +134,9 @@ void test_inverse()
s = internal::random<int>(50,320);
CALL_SUBTEST_5( inverse(MatrixXf(s,s)) );
TEST_SET_BUT_UNUSED_VARIABLE(s)
+ CALL_SUBTEST_5( inverse_zerosized<float>() );
+ CALL_SUBTEST_5( inverse(MatrixXf(0, 0)) );
+ CALL_SUBTEST_5( inverse(MatrixXf(1, 1)) );
s = internal::random<int>(25,100);
CALL_SUBTEST_6( inverse(MatrixXcd(s,s)) );
@@ -113,5 +144,7 @@ void test_inverse()
CALL_SUBTEST_7( inverse(Matrix4d()) );
CALL_SUBTEST_7( inverse(Matrix<double,4,4,DontAlign>()) );
+
+ CALL_SUBTEST_8( inverse(Matrix4cd()) );
}
}