big addons:

* add Homogeneous expression for vector and set of vectors (aka matrix)
  => the next step will be to overload operator*
* add homogeneous normalization (again for vector and set of vectors)
* add a Replicate expression (with uni-directional replication
  facilities)
=> for all of them I'll add examples once we agree on the API
* fix gcc-4.4 warnings
* rename reverse.cpp array_reverse.cpp

test/CMakeLists.txt

@@ -105,6 +105,8 @@ ei_add_test(commainitializer)
 ei_add_test(smallvectors)
 ei_add_test(map)
 ei_add_test(array)
+ei_add_test(array_replicate)
+ei_add_test(array_reverse)
 ei_add_test(triangular)
 ei_add_test(cholesky " " "${GSL_LIBRARIES}")
 ei_add_test(lu ${EI_OFLAG})
@@ -114,6 +116,7 @@ ei_add_test(qr)
 ei_add_test(eigensolver " " "${GSL_LIBRARIES}")
 ei_add_test(svd)
 ei_add_test(geo_orthomethods)
+ei_add_test(geo_homogeneous)
 ei_add_test(geo_quaternion)
 ei_add_test(geo_transformations)
 ei_add_test(geo_eulerangles)
@@ -135,7 +138,6 @@ ei_add_test(sparse_vector)
 ei_add_test(sparse_basic)
 ei_add_test(sparse_product)
 ei_add_test(sparse_solvers " " "${SPARSE_LIBS}")
-ei_add_test(reverse)
 
 
 ei_add_property(EIGEN_TESTING_SUMMARY "CXX:               ${CMAKE_CXX_COMPILER}\n")

test/array_replicate.cpp

@@ -0,0 +1,86 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra. Eigen itself is part of the KDE project.
+//
+// Copyright (C) 2009 Gael Guennebaud <g.gael@free.fr>
+//
+// Eigen is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 3 of the License, or (at your option) any later version.
+//
+// Alternatively, you can redistribute it and/or
+// modify it under the terms of the GNU General Public License as
+// published by the Free Software Foundation; either version 2 of
+// the License, or (at your option) any later version.
+//
+// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
+// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
+// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License and a copy of the GNU General Public License along with
+// Eigen. If not, see <http://www.gnu.org/licenses/>.
+
+#include "main.h"
+#include <Eigen/Array>
+
+template<typename MatrixType> void replicate(const MatrixType& m)
+{
+  /* this test covers the following files:
+     Replicate.cpp
+  */
+
+  typedef typename MatrixType::Scalar Scalar;
+  typedef typename NumTraits<Scalar>::Real RealScalar;
+  typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
+  typedef Matrix<Scalar, Dynamic, Dynamic> MatrixX;
+  typedef Matrix<Scalar, Dynamic, 1> VectorX;
+
+  int rows = m.rows();
+  int cols = m.cols();
+
+  MatrixType m1 = MatrixType::Random(rows, cols),
+             m2 = MatrixType::Random(rows, cols);
+  
+  VectorType v1 = VectorType::Random(rows);
+  
+  MatrixX x1, x2;
+  VectorX vx1;
+
+  int  f1 = ei_random<int>(1,10),
+       f2 = ei_random<int>(1,10);
+
+  x1.resize(rows*f1,cols*f2);
+  for(int j=0; j<f2; j++)
+  for(int i=0; i<f1; i++)
+    x1.block(i*rows,j*cols,rows,cols) = m1;
+  VERIFY_IS_APPROX(x1, m1.replicate(f1,f2));
+  
+  x2.resize(2*rows,3*cols);
+  x2 << m2, m2, m2,
+        m2, m2, m2;
+  VERIFY_IS_APPROX(x2, (m2.template replicate<2,3>()));
+  
+  x2.resize(rows,f1);
+  for (int j=0; j<f1; ++j)
+    x2.col(j) = v1;
+  VERIFY_IS_APPROX(x2, v1.rowwise().replicate(f1));
+  
+  vx1.resize(rows*f2);
+  for (int j=0; j<f2; ++j)
+    vx1.segment(j*rows,rows) = v1;
+  VERIFY_IS_APPROX(vx1, v1.colwise().replicate(f2));
+}
+
+void test_array_replicate()
+{
+  for(int i = 0; i < g_repeat; i++) {
+    CALL_SUBTEST( replicate(Matrix<float, 1, 1>()) );
+    CALL_SUBTEST( replicate(Vector2f()) );
+    CALL_SUBTEST( replicate(Vector3d()) );
+    CALL_SUBTEST( replicate(Vector4f()) );
+    CALL_SUBTEST( replicate(VectorXf(16)) );
+    CALL_SUBTEST( replicate(VectorXcd(10)) );
+  }
+}

test/array_reverse.cpp

@@ -160,7 +160,7 @@ template<typename MatrixType> void reverse(const MatrixType& m)
   */
 }
 
-void test_reverse()
+void test_array_reverse()
 {
   for(int i = 0; i < g_repeat; i++) {
     CALL_SUBTEST( reverse(Matrix<float, 1, 1>()) );

test/geo_homogeneous.cpp

@@ -0,0 +1,79 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra. Eigen itself is part of the KDE project.
+//
+// Copyright (C) 2009 Gael Guennebaud <g.gael@free.fr>
+//
+// Eigen is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 3 of the License, or (at your option) any later version.
+//
+// Alternatively, you can redistribute it and/or
+// modify it under the terms of the GNU General Public License as
+// published by the Free Software Foundation; either version 2 of
+// the License, or (at your option) any later version.
+//
+// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
+// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
+// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License and a copy of the GNU General Public License along with
+// Eigen. If not, see <http://www.gnu.org/licenses/>.
+
+#include "main.h"
+#include <Eigen/Geometry>
+
+template<typename Scalar,int Size> void homogeneous(void)
+{
+  /* this test covers the following files:
+     Homogeneous.h
+  */
+
+  typedef Matrix<Scalar,Size,Size> MatrixType;
+  typedef Matrix<Scalar,Size,1> VectorType;
+  
+  typedef Matrix<Scalar,Size+1,Size> HMatrixType;
+  typedef Matrix<Scalar,Size+1,1> HVectorType;
+
+  Scalar largeEps = test_precision<Scalar>();
+  if (ei_is_same_type<Scalar,float>::ret)
+    largeEps = 1e-3f;
+
+  Scalar eps = ei_random<Scalar>() * 1e-2;
+
+  VectorType v0 = VectorType::Random(),
+             v1 = VectorType::Random(),
+             ones = VectorType::Ones();
+
+  HVectorType hv0 = HVectorType::Random(),
+              hv1 = HVectorType::Random();
+  
+  MatrixType m0 = MatrixType::Random(),
+             m1 = MatrixType::Random();
+  
+  HMatrixType hm0 = HMatrixType::Random(),
+              hm1 = HMatrixType::Random();
+
+  hv0 << v0, 1;
+  VERIFY_IS_APPROX(v0.homogeneous(), hv0);
+  VERIFY_IS_APPROX(v0, hv0.hnormalized());
+  
+  hm0 << m0, ones.transpose();
+  VERIFY_IS_APPROX(m0.colwise().homogeneous(), hm0);
+  VERIFY_IS_APPROX(m0, hm0.colwise().hnormalized());
+  hm0.row(Size-1).setRandom();
+  for(int j=0; j<Size; ++j)
+    m0.col(j) = hm0.col(j).start(Size) / hm0(Size,j);
+  VERIFY_IS_APPROX(m0, hm0.colwise().hnormalized());
+}
+
+void test_geo_homogeneous()
+{
+  for(int i = 0; i < g_repeat; i++) {
+    CALL_SUBTEST(( homogeneous<float,1>() ));
+    CALL_SUBTEST(( homogeneous<double,3>() ));
+    CALL_SUBTEST(( homogeneous<double,8>() ));
+  }
+}

test/packetmath.cpp

@@ -137,8 +137,8 @@ template<typename Scalar> void packetmath()
   
   ref[0] = data1[0];
   for (int i=0; i<PacketSize; ++i)
-    ref[0] = std::min(ref[0],data1[i]);
-  VERIFY(ei_isApprox(ref[0], ei_predux_min(ei_pload(data1))) && "ei_predux_max");
+    ref[0] = std::max(ref[0],data1[i]);
+  VERIFY(ei_isApprox(ref[0], ei_predux_max(ei_pload(data1))) && "ei_predux_max");
 
   for (int j=0; j<PacketSize; ++j)
   {