update

1 files changed, 131 insertions, 0 deletions

diff --git a/eigen/test/nullary.cpp b/eigen/test/nullary.cpp
new file mode 100644
index 0000000..fbc721a
--- /dev/null
+++ b/eigen/test/nullary.cpp
@@ -0,0 +1,131 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2010-2011 Jitse Niesen <jitse@maths.leeds.ac.uk>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "main.h"
+
+template<typename MatrixType>
+bool equalsIdentity(const MatrixType& A)
+{
+  typedef typename MatrixType::Index Index;
+  typedef typename MatrixType::Scalar Scalar;
+  Scalar zero = static_cast<Scalar>(0);
+
+  bool offDiagOK = true;
+  for (Index i = 0; i < A.rows(); ++i) {
+    for (Index j = i+1; j < A.cols(); ++j) {
+      offDiagOK = offDiagOK && (A(i,j) == zero);
+    }
+  }
+  for (Index i = 0; i < A.rows(); ++i) {
+    for (Index j = 0; j < (std::min)(i, A.cols()); ++j) {
+      offDiagOK = offDiagOK && (A(i,j) == zero);
+    }
+  }
+
+  bool diagOK = (A.diagonal().array() == 1).all();
+  return offDiagOK && diagOK;
+}
+
+template<typename VectorType>
+void testVectorType(const VectorType& base)
+{
+  typedef typename internal::traits<VectorType>::Index Index;
+  typedef typename internal::traits<VectorType>::Scalar Scalar;
+
+  const Index size = base.size();
+  
+  Scalar high = internal::random<Scalar>(-500,500);
+  Scalar low = (size == 1 ? high : internal::random<Scalar>(-500,500));
+  if (low>high) std::swap(low,high);
+
+  const Scalar step = ((size == 1) ? 1 : (high-low)/(size-1));
+
+  // check whether the result yields what we expect it to do
+  VectorType m(base);
+  m.setLinSpaced(size,low,high);
+
+  VectorType n(size);
+  for (int i=0; i<size; ++i)
+    n(i) = low+i*step;
+
+  VERIFY_IS_APPROX(m,n);
+
+  // random access version
+  m = VectorType::LinSpaced(size,low,high);
+  VERIFY_IS_APPROX(m,n);
+
+  // Assignment of a RowVectorXd to a MatrixXd (regression test for bug #79).
+  VERIFY( (MatrixXd(RowVectorXd::LinSpaced(3, 0, 1)) - RowVector3d(0, 0.5, 1)).norm() < std::numeric_limits<Scalar>::epsilon() );
+
+  // These guys sometimes fail! This is not good. Any ideas how to fix them!?
+  //VERIFY( m(m.size()-1) == high );
+  //VERIFY( m(0) == low );
+
+  // sequential access version
+  m = VectorType::LinSpaced(Sequential,size,low,high);
+  VERIFY_IS_APPROX(m,n);
+
+  // These guys sometimes fail! This is not good. Any ideas how to fix them!?
+  //VERIFY( m(m.size()-1) == high );
+  //VERIFY( m(0) == low );
+
+  // check whether everything works with row and col major vectors
+  Matrix<Scalar,Dynamic,1> row_vector(size);
+  Matrix<Scalar,1,Dynamic> col_vector(size);
+  row_vector.setLinSpaced(size,low,high);
+  col_vector.setLinSpaced(size,low,high);
+  // when using the extended precision (e.g., FPU) the relative error might exceed 1 bit
+  // when computing the squared sum in isApprox, thus the 2x factor.
+  VERIFY( row_vector.isApprox(col_vector.transpose(), Scalar(2)*NumTraits<Scalar>::epsilon()));
+
+  Matrix<Scalar,Dynamic,1> size_changer(size+50);
+  size_changer.setLinSpaced(size,low,high);
+  VERIFY( size_changer.size() == size );
+
+  typedef Matrix<Scalar,1,1> ScalarMatrix;
+  ScalarMatrix scalar;
+  scalar.setLinSpaced(1,low,high);
+  VERIFY_IS_APPROX( scalar, ScalarMatrix::Constant(high) );
+  VERIFY_IS_APPROX( ScalarMatrix::LinSpaced(1,low,high), ScalarMatrix::Constant(high) );
+
+  // regression test for bug 526 (linear vectorized transversal)
+  if (size > 1) {
+    m.tail(size-1).setLinSpaced(low, high);
+    VERIFY_IS_APPROX(m(size-1), high);
+  }
+}
+
+template<typename MatrixType>
+void testMatrixType(const MatrixType& m)
+{
+  typedef typename MatrixType::Index Index;
+  const Index rows = m.rows();
+  const Index cols = m.cols();
+
+  MatrixType A;
+  A.setIdentity(rows, cols);
+  VERIFY(equalsIdentity(A));
+  VERIFY(equalsIdentity(MatrixType::Identity(rows, cols)));
+}
+
+void test_nullary()
+{
+  CALL_SUBTEST_1( testMatrixType(Matrix2d()) );
+  CALL_SUBTEST_2( testMatrixType(MatrixXcf(internal::random<int>(1,300),internal::random<int>(1,300))) );
+  CALL_SUBTEST_3( testMatrixType(MatrixXf(internal::random<int>(1,300),internal::random<int>(1,300))) );
+  
+  for(int i = 0; i < g_repeat; i++) {
+    CALL_SUBTEST_4( testVectorType(VectorXd(internal::random<int>(1,300))) );
+    CALL_SUBTEST_5( testVectorType(Vector4d()) );  // regression test for bug 232
+    CALL_SUBTEST_6( testVectorType(Vector3d()) );
+    CALL_SUBTEST_7( testVectorType(VectorXf(internal::random<int>(1,300))) );
+    CALL_SUBTEST_8( testVectorType(Vector3f()) );
+    CALL_SUBTEST_8( testVectorType(Matrix<float,1,1>()) );
+  }
+}