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* fix Quaternion::setFromTwoVectors (thanks to "benv" from the forum)

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* extend PartialRedux::cross() to any matrix sizes with automatic
  vectorization when possible
* unit tests: add "geo_" prefix to all unit tests related to the
  geometry module and start splitting the big "geometry.cpp" tests to
  multiple smaller ones (also include new tests)
This commit is contained in:
Gael Guennebaud
2009-02-17 09:53:05 +00:00
parent 67b4fab4e3
commit e6f1104b57
16 changed files with 445 additions and 157 deletions
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109
test/geo_orthomethods.cpp Normal file
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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra. Eigen itself is part of the KDE project.
//
// Copyright (C) 2008-2009 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>
#include <Eigen/LU>
#include <Eigen/SVD>
/* this test covers the following files:
Geometry/OrthoMethods.h
*/
template<typename Scalar> void orthomethods_3()
{
typedef Matrix<Scalar,3,3> Matrix3;
typedef Matrix<Scalar,3,1> Vector3;
Vector3 v0 = Vector3::Random(),
v1 = Vector3::Random(),
v2 = Vector3::Random();
// cross product
VERIFY_IS_MUCH_SMALLER_THAN(v1.cross(v2).dot(v1), Scalar(1));
Matrix3 mat3;
mat3 << v0.normalized(),
(v0.cross(v1)).normalized(),
(v0.cross(v1).cross(v0)).normalized();
VERIFY(mat3.isUnitary());
// colwise/rowwise cross product
mat3.setRandom();
Vector3 vec3 = Vector3::Random();
Matrix3 mcross;
int i = ei_random<int>(0,2);
mcross = mat3.colwise().cross(vec3);
VERIFY_IS_APPROX(mcross.col(i), mat3.col(i).cross(vec3));
mcross = mat3.rowwise().cross(vec3);
VERIFY_IS_APPROX(mcross.row(i), mat3.row(i).cross(vec3));
}
template<typename Scalar, int Size> void orthomethods(int size=Size)
{
typedef Matrix<Scalar,Size,1> VectorType;
typedef Matrix<Scalar,3,Size> Matrix3N;
typedef Matrix<Scalar,Size,3> MatrixN3;
typedef Matrix<Scalar,3,1> Vector3;
VectorType v0 = VectorType::Random(size),
v1 = VectorType::Random(size),
v2 = VectorType::Random(size);
// unitOrthogonal
VERIFY_IS_MUCH_SMALLER_THAN(v0.unitOrthogonal().dot(v0), Scalar(1));
VERIFY_IS_APPROX(v0.unitOrthogonal().norm(), Scalar(1));
// colwise/rowwise cross product
Vector3 vec3 = Vector3::Random();
int i = ei_random<int>(0,size-1);
Matrix3N mat3N(3,size), mcross3N(3,size);
mat3N.setRandom();
mcross3N = mat3N.colwise().cross(vec3);
VERIFY_IS_APPROX(mcross3N.col(i), mat3N.col(i).cross(vec3));
MatrixN3 matN3(size,3), mcrossN3(size,3);
matN3.setRandom();
mcrossN3 = matN3.rowwise().cross(vec3);
VERIFY_IS_APPROX(mcrossN3.row(i), matN3.row(i).cross(vec3));
}
void test_geo_orthomethods()
{
for(int i = 0; i < g_repeat; i++) {
CALL_SUBTEST( orthomethods_3<float>() );
CALL_SUBTEST( orthomethods_3<double>() );
CALL_SUBTEST( (orthomethods<float,2>()) );
CALL_SUBTEST( (orthomethods<double,2>()) );
CALL_SUBTEST( (orthomethods<float,3>()) );
CALL_SUBTEST( (orthomethods<double,3>()) );
CALL_SUBTEST( (orthomethods<float,7>()) );
CALL_SUBTEST( (orthomethods<double,8>()) );
CALL_SUBTEST( (orthomethods<float,Dynamic>(36)) );
CALL_SUBTEST( (orthomethods<double,Dynamic>(35)) );
}
}