mirror of
https://gitlab.com/libeigen/eigen.git
synced 2026-04-10 11:34:33 +08:00
- eigen2 now fully enforces constness! found a way to achieve that
with minimal code duplication. There now are only two (2) const_cast remaining in the whole source code. - eigen2 now fully allows copying a row-vector into a column-vector. added a unit-test for that. - split unit tests, improve docs, various improvements.
This commit is contained in:
@@ -7,10 +7,13 @@ INCLUDE_DIRECTORIES( ${QT_INCLUDE_DIR} )
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SET(test_SRCS
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main.cpp
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basicstuff.cpp
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linearstructure.cpp
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product.cpp
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adjoint.cpp
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submatrices.cpp
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miscmatrices.cpp
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smallvectors.cpp
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map.cpp
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)
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QT4_AUTOMOC(${test_SRCS})
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@@ -29,18 +29,9 @@ namespace Eigen {
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template<typename MatrixType> void basicStuff(const MatrixType& m)
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{
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/* this test covers the following files:
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1) Explicitly (see comments below):
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Random.h Zero.h Identity.h Fuzzy.h Sum.h Difference.h
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Opposite.h Product.h ScalarMultiple.h Map.h
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2) Implicitly (the core stuff):
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MatrixBase.h Matrix.h MatrixStorage.h CopyHelper.h MatrixRef.h
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NumTraits.h Util.h MathFunctions.h OperatorEquals.h Coeffs.h
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*/
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typedef typename MatrixType::Scalar Scalar;
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typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
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int rows = m.rows();
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int cols = m.cols();
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@@ -58,13 +49,9 @@ template<typename MatrixType> void basicStuff(const MatrixType& m)
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v2 = VectorType::random(rows),
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vzero = VectorType::zero(rows);
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Scalar s1 = random<Scalar>(),
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s2 = random<Scalar>();
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int r = random<int>(0, rows-1),
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c = random<int>(0, cols-1);
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// test Fuzzy.h and Zero.h.
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VERIFY_IS_APPROX( v1, v1);
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VERIFY_IS_NOT_APPROX( v1, 2*v1);
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VERIFY_IS_MUCH_SMALLER_THAN( vzero, v1);
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@@ -86,80 +73,13 @@ template<typename MatrixType> void basicStuff(const MatrixType& m)
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// operator() that gets called, which in turn calls _read().
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VERIFY_IS_MUCH_SMALLER_THAN(MatrixType::zero(rows,cols)(r,c), static_cast<Scalar>(1));
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// test the linear structure, i.e. the following files:
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// Sum.h Difference.h Opposite.h ScalarMultiple.h
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VERIFY_IS_APPROX(-(-m1), m1);
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VERIFY_IS_APPROX(m1+m1, 2*m1);
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VERIFY_IS_APPROX(m1+m2-m1, m2);
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VERIFY_IS_APPROX(-m2+m1+m2, m1);
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VERIFY_IS_APPROX(m1*s1, s1*m1);
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VERIFY_IS_APPROX((m1+m2)*s1, s1*m1+s1*m2);
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VERIFY_IS_APPROX((s1+s2)*m1, m1*s1+m1*s2);
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VERIFY_IS_APPROX((m1-m2)*s1, s1*m1-s1*m2);
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VERIFY_IS_APPROX((s1-s2)*m1, m1*s1-m1*s2);
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VERIFY_IS_APPROX((-m1+m2)*s1, -s1*m1+s1*m2);
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VERIFY_IS_APPROX((-s1+s2)*m1, -m1*s1+m1*s2);
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m3 = m2; m3 += m1;
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VERIFY_IS_APPROX(m3, m1+m2);
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m3 = m2; m3 -= m1;
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VERIFY_IS_APPROX(m3, m2-m1);
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m3 = m2; m3 *= s1;
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VERIFY_IS_APPROX(m3, s1*m2);
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if(NumTraits<Scalar>::HasFloatingPoint)
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{
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m3 = m2; m3 /= s1;
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VERIFY_IS_APPROX(m3, m2/s1);
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}
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// again, test operator() to check const-qualification
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VERIFY_IS_APPROX((-m1)(r,c), -(m1(r,c)));
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VERIFY_IS_APPROX((m1-m2)(r,c), (m1(r,c))-(m2(r,c)));
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VERIFY_IS_APPROX((m1+m2)(r,c), (m1(r,c))+(m2(r,c)));
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VERIFY_IS_APPROX((s1*m1)(r,c), s1*(m1(r,c)));
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VERIFY_IS_APPROX((m1*s1)(r,c), (m1(r,c))*s1);
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if(NumTraits<Scalar>::HasFloatingPoint)
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VERIFY_IS_APPROX((m1/s1)(r,c), (m1(r,c))/s1);
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// begin testing Product.h: only associativity for now
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// (we use Transpose.h but this doesn't count as a test for it)
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VERIFY_IS_APPROX((m1*m1.transpose())*m2, m1*(m1.transpose()*m2));
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m3 = m1;
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m3 *= (m1.transpose() * m2);
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VERIFY_IS_APPROX(m3, m1*(m1.transpose()*m2));
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VERIFY_IS_APPROX(m3, m1.lazyProduct(m1.transpose()*m2));
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// continue testing Product.h: distributivity
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VERIFY_IS_APPROX(square*(m1 + m2), square*m1+square*m2);
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VERIFY_IS_APPROX(square*(m1 - m2), square*m1-square*m2);
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// continue testing Product.h: compatibility with ScalarMultiple.h
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VERIFY_IS_APPROX(s1*(square*m1), (s1*square)*m1);
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VERIFY_IS_APPROX(s1*(square*m1), square*(m1*s1));
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// continue testing Product.h: lazyProduct
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VERIFY_IS_APPROX(square.lazyProduct(m1), square*m1);
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// again, test operator() to check const-qualification
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s1 += square.lazyProduct(m1)(r,c);
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// test Product.h together with Identity.h
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VERIFY_IS_APPROX(m1, identity*m1);
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VERIFY_IS_APPROX(v1, identity*v1);
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// again, test operator() to check const-qualification
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VERIFY_IS_APPROX(MatrixType::identity(std::max(rows,cols))(r,c), static_cast<Scalar>(r==c));
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// test Map.h
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Scalar* array1 = new Scalar[rows];
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Scalar* array2 = new Scalar[rows];
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typedef Matrix<Scalar, Dynamic, 1> VectorX;
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VectorX::map(array1, rows) = VectorX::random(rows);
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VectorX::map(array2, rows) = VectorX::map(array1, rows);
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VectorX ma1 = VectorX::map(array1, rows);
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VectorX ma2 = VectorX::map(array2, rows);
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VERIFY_IS_APPROX(ma1, ma2);
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VERIFY_IS_APPROX(ma1, VectorX(array2, rows));
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delete[] array1;
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delete[] array2;
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// now test copying a row-vector into a (column-)vector and conversely.
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square.col(r) = square.row(r).eval();
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Matrix<Scalar, 1, MatrixType::RowsAtCompileTime> rv(rows);
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Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> cv(rows);
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rv = square.col(r);
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cv = square.row(r);
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VERIFY_IS_APPROX(rv, cv.transpose());
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}
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void EigenTest::testBasicStuff()
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106
test/linearstructure.cpp
Normal file
106
test/linearstructure.cpp
Normal file
@@ -0,0 +1,106 @@
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// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra. Eigen itself is part of the KDE project.
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//
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// Copyright (C) 2006-2007 Benoit Jacob <jacob@math.jussieu.fr>
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//
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// Eigen is free software; you can redistribute it and/or modify it under the
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// terms of the GNU General Public License as published by the Free Software
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||||
// Foundation; either version 2 or (at your option) any later version.
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||||
//
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// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
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||||
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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||||
// FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
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||||
// details.
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//
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||||
// You should have received a copy of the GNU General Public License along
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||||
// with Eigen; if not, write to the Free Software Foundation, Inc., 51
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// Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
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//
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// As a special exception, if other files instantiate templates or use macros
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// or functions from this file, or you compile this file and link it
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||||
// with other works to produce a work based on this file, this file does not
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||||
// by itself cause the resulting work to be covered by the GNU General Public
|
||||
// License. This exception does not invalidate any other reasons why a work
|
||||
// based on this file might be covered by the GNU General Public License.
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||||
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#include "main.h"
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namespace Eigen {
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template<typename MatrixType> void linearStructure(const MatrixType& m)
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{
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/* this test covers the following files:
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Sum.h Difference.h Opposite.h ScalarMultiple.h
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*/
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typedef typename MatrixType::Scalar Scalar;
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typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
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int rows = m.rows();
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int cols = m.cols();
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// this test relies a lot on Random.h, and there's not much more that we can do
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// to test it, hence I consider that we will have tested Random.h
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MatrixType m1 = MatrixType::random(rows, cols),
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m2 = MatrixType::random(rows, cols),
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m3(rows, cols),
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mzero = MatrixType::zero(rows, cols),
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identity = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>
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::identity(rows),
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square = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>
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::random(rows, rows);
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VectorType v1 = VectorType::random(rows),
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v2 = VectorType::random(rows),
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vzero = VectorType::zero(rows);
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Scalar s1 = random<Scalar>(),
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s2 = random<Scalar>();
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int r = random<int>(0, rows-1),
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c = random<int>(0, cols-1);
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VERIFY_IS_APPROX(-(-m1), m1);
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VERIFY_IS_APPROX(m1+m1, 2*m1);
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VERIFY_IS_APPROX(m1+m2-m1, m2);
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VERIFY_IS_APPROX(-m2+m1+m2, m1);
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VERIFY_IS_APPROX(m1*s1, s1*m1);
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VERIFY_IS_APPROX((m1+m2)*s1, s1*m1+s1*m2);
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VERIFY_IS_APPROX((s1+s2)*m1, m1*s1+m1*s2);
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VERIFY_IS_APPROX((m1-m2)*s1, s1*m1-s1*m2);
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VERIFY_IS_APPROX((s1-s2)*m1, m1*s1-m1*s2);
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VERIFY_IS_APPROX((-m1+m2)*s1, -s1*m1+s1*m2);
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VERIFY_IS_APPROX((-s1+s2)*m1, -m1*s1+m1*s2);
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m3 = m2; m3 += m1;
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VERIFY_IS_APPROX(m3, m1+m2);
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m3 = m2; m3 -= m1;
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VERIFY_IS_APPROX(m3, m2-m1);
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m3 = m2; m3 *= s1;
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VERIFY_IS_APPROX(m3, s1*m2);
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if(NumTraits<Scalar>::HasFloatingPoint)
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{
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m3 = m2; m3 /= s1;
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VERIFY_IS_APPROX(m3, m2/s1);
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}
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// again, test operator() to check const-qualification
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VERIFY_IS_APPROX((-m1)(r,c), -(m1(r,c)));
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VERIFY_IS_APPROX((m1-m2)(r,c), (m1(r,c))-(m2(r,c)));
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VERIFY_IS_APPROX((m1+m2)(r,c), (m1(r,c))+(m2(r,c)));
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VERIFY_IS_APPROX((s1*m1)(r,c), s1*(m1(r,c)));
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VERIFY_IS_APPROX((m1*s1)(r,c), (m1(r,c))*s1);
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if(NumTraits<Scalar>::HasFloatingPoint)
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VERIFY_IS_APPROX((m1/s1)(r,c), (m1(r,c))/s1);
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}
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|
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void EigenTest::testLinearStructure()
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{
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for(int i = 0; i < m_repeat; i++) {
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linearStructure(Matrix<float, 1, 1>());
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linearStructure(Matrix4d());
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linearStructure(MatrixXcf(3, 3));
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||||
linearStructure(MatrixXi(8, 12));
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linearStructure(MatrixXcd(20, 20));
|
||||
}
|
||||
}
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|
||||
} // namespace Eigen
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||||
@@ -114,10 +114,13 @@ class EigenTest : public QObject
|
||||
|
||||
private slots:
|
||||
void testBasicStuff();
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||||
void testLinearStructure();
|
||||
void testProduct();
|
||||
void testAdjoint();
|
||||
void testSubmatrices();
|
||||
void testMiscMatrices();
|
||||
void testSmallVectors();
|
||||
void testMap();
|
||||
protected:
|
||||
int m_repeat;
|
||||
};
|
||||
|
||||
60
test/map.cpp
Normal file
60
test/map.cpp
Normal file
@@ -0,0 +1,60 @@
|
||||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra. Eigen itself is part of the KDE project.
|
||||
//
|
||||
// Copyright (C) 2006-2007 Benoit Jacob <jacob@math.jussieu.fr>
|
||||
//
|
||||
// Eigen is free software; 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 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 General Public License for more
|
||||
// details.
|
||||
//
|
||||
// You should have received a copy of the GNU General Public License along
|
||||
// with Eigen; if not, write to the Free Software Foundation, Inc., 51
|
||||
// Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
|
||||
//
|
||||
// As a special exception, if other files instantiate templates or use macros
|
||||
// or functions from this file, or you compile this file and link it
|
||||
// with other works to produce a work based on this file, this file does not
|
||||
// by itself cause the resulting work to be covered by the GNU General Public
|
||||
// License. This exception does not invalidate any other reasons why a work
|
||||
// based on this file might be covered by the GNU General Public License.
|
||||
|
||||
#include "main.h"
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
template<typename VectorType> void tmap(const VectorType& m)
|
||||
{
|
||||
typedef typename VectorType::Scalar Scalar;
|
||||
|
||||
int size = m.size();
|
||||
|
||||
// test Map.h
|
||||
Scalar* array1 = new Scalar[size];
|
||||
Scalar* array2 = new Scalar[size];
|
||||
VectorType::map(array1, size) = VectorType::random(size);
|
||||
VectorType::map(array2, size) = VectorType::map(array1, size);
|
||||
VectorType ma1 = VectorType::map(array1, size);
|
||||
VectorType ma2 = VectorType::map(array2, size);
|
||||
VERIFY_IS_APPROX(ma1, ma2);
|
||||
VERIFY_IS_APPROX(ma1, VectorType(array2, size));
|
||||
delete[] array1;
|
||||
delete[] array2;
|
||||
}
|
||||
|
||||
void EigenTest::testMap()
|
||||
{
|
||||
for(int i = 0; i < m_repeat; i++) {
|
||||
tmap(Matrix<float, 1, 1>());
|
||||
tmap(Vector4d());
|
||||
tmap(RowVector4f());
|
||||
tmap(VectorXcf(8));
|
||||
tmap(VectorXi(12));
|
||||
}
|
||||
}
|
||||
|
||||
} // namespace Eigen
|
||||
100
test/product.cpp
Normal file
100
test/product.cpp
Normal file
@@ -0,0 +1,100 @@
|
||||
// This file is part of Eigen, a lightweight C++ template library
|
||||
// for linear algebra. Eigen itself is part of the KDE project.
|
||||
//
|
||||
// Copyright (C) 2006-2007 Benoit Jacob <jacob@math.jussieu.fr>
|
||||
//
|
||||
// Eigen is free software; 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 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 General Public License for more
|
||||
// details.
|
||||
//
|
||||
// You should have received a copy of the GNU General Public License along
|
||||
// with Eigen; if not, write to the Free Software Foundation, Inc., 51
|
||||
// Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
|
||||
//
|
||||
// As a special exception, if other files instantiate templates or use macros
|
||||
// or functions from this file, or you compile this file and link it
|
||||
// with other works to produce a work based on this file, this file does not
|
||||
// by itself cause the resulting work to be covered by the GNU General Public
|
||||
// License. This exception does not invalidate any other reasons why a work
|
||||
// based on this file might be covered by the GNU General Public License.
|
||||
|
||||
#include "main.h"
|
||||
|
||||
namespace Eigen {
|
||||
|
||||
template<typename MatrixType> void product(const MatrixType& m)
|
||||
{
|
||||
/* this test covers the following files:
|
||||
Identity.h Product.h
|
||||
*/
|
||||
|
||||
typedef typename MatrixType::Scalar Scalar;
|
||||
typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
|
||||
|
||||
int rows = m.rows();
|
||||
int cols = m.cols();
|
||||
|
||||
// this test relies a lot on Random.h, and there's not much more that we can do
|
||||
// to test it, hence I consider that we will have tested Random.h
|
||||
MatrixType m1 = MatrixType::random(rows, cols),
|
||||
m2 = MatrixType::random(rows, cols),
|
||||
m3(rows, cols),
|
||||
mzero = MatrixType::zero(rows, cols),
|
||||
identity = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>
|
||||
::identity(rows),
|
||||
square = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>
|
||||
::random(rows, rows);
|
||||
VectorType v1 = VectorType::random(rows),
|
||||
v2 = VectorType::random(rows),
|
||||
vzero = VectorType::zero(rows);
|
||||
|
||||
Scalar s1 = random<Scalar>();
|
||||
|
||||
int r = random<int>(0, rows-1),
|
||||
c = random<int>(0, cols-1);
|
||||
|
||||
// begin testing Product.h: only associativity for now
|
||||
// (we use Transpose.h but this doesn't count as a test for it)
|
||||
VERIFY_IS_APPROX((m1*m1.transpose())*m2, m1*(m1.transpose()*m2));
|
||||
m3 = m1;
|
||||
m3 *= (m1.transpose() * m2);
|
||||
VERIFY_IS_APPROX(m3, m1*(m1.transpose()*m2));
|
||||
VERIFY_IS_APPROX(m3, m1.lazyProduct(m1.transpose()*m2));
|
||||
|
||||
// continue testing Product.h: distributivity
|
||||
VERIFY_IS_APPROX(square*(m1 + m2), square*m1+square*m2);
|
||||
VERIFY_IS_APPROX(square*(m1 - m2), square*m1-square*m2);
|
||||
|
||||
// continue testing Product.h: compatibility with ScalarMultiple.h
|
||||
VERIFY_IS_APPROX(s1*(square*m1), (s1*square)*m1);
|
||||
VERIFY_IS_APPROX(s1*(square*m1), square*(m1*s1));
|
||||
|
||||
// continue testing Product.h: lazyProduct
|
||||
VERIFY_IS_APPROX(square.lazyProduct(m1), square*m1);
|
||||
// again, test operator() to check const-qualification
|
||||
s1 += square.lazyProduct(m1)(r,c);
|
||||
|
||||
// test Product.h together with Identity.h
|
||||
VERIFY_IS_APPROX(m1, identity*m1);
|
||||
VERIFY_IS_APPROX(v1, identity*v1);
|
||||
// again, test operator() to check const-qualification
|
||||
VERIFY_IS_APPROX(MatrixType::identity(std::max(rows,cols))(r,c), static_cast<Scalar>(r==c));
|
||||
}
|
||||
|
||||
void EigenTest::testProduct()
|
||||
{
|
||||
for(int i = 0; i < m_repeat; i++) {
|
||||
product(Matrix<float, 1, 1>());
|
||||
product(Matrix4d());
|
||||
product(MatrixXcf(3, 3));
|
||||
product(MatrixXi(8, 12));
|
||||
product(MatrixXcd(20, 20));
|
||||
}
|
||||
}
|
||||
|
||||
} // namespace Eigen
|
||||
Reference in New Issue
Block a user