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294
cs440-acg/ext/eigen/test/ref.cpp
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294
cs440-acg/ext/eigen/test/ref.cpp
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// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 20013 Gael Guennebaud <gael.guennebaud@inria.fr>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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// This unit test cannot be easily written to work with EIGEN_DEFAULT_TO_ROW_MAJOR
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#ifdef EIGEN_DEFAULT_TO_ROW_MAJOR
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#undef EIGEN_DEFAULT_TO_ROW_MAJOR
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#endif
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#define TEST_ENABLE_TEMPORARY_TRACKING
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#define TEST_CHECK_STATIC_ASSERTIONS
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#include "main.h"
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// test Ref.h
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// Deal with i387 extended precision
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#if EIGEN_ARCH_i386 && !(EIGEN_ARCH_x86_64)
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#if EIGEN_COMP_GNUC_STRICT && EIGEN_GNUC_AT_LEAST(4,4)
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#pragma GCC optimize ("-ffloat-store")
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#else
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#undef VERIFY_IS_EQUAL
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#define VERIFY_IS_EQUAL(X,Y) VERIFY_IS_APPROX(X,Y)
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#endif
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#endif
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template<typename MatrixType> void ref_matrix(const MatrixType& m)
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{
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typedef typename MatrixType::Scalar Scalar;
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typedef typename MatrixType::RealScalar RealScalar;
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typedef Matrix<Scalar,Dynamic,Dynamic,MatrixType::Options> DynMatrixType;
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typedef Matrix<RealScalar,Dynamic,Dynamic,MatrixType::Options> RealDynMatrixType;
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typedef Ref<MatrixType> RefMat;
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typedef Ref<DynMatrixType> RefDynMat;
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typedef Ref<const DynMatrixType> ConstRefDynMat;
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typedef Ref<RealDynMatrixType , 0, Stride<Dynamic,Dynamic> > RefRealMatWithStride;
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Index rows = m.rows(), cols = m.cols();
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MatrixType m1 = MatrixType::Random(rows, cols),
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m2 = m1;
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Index i = internal::random<Index>(0,rows-1);
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Index j = internal::random<Index>(0,cols-1);
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Index brows = internal::random<Index>(1,rows-i);
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Index bcols = internal::random<Index>(1,cols-j);
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RefMat rm0 = m1;
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VERIFY_IS_EQUAL(rm0, m1);
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RefDynMat rm1 = m1;
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VERIFY_IS_EQUAL(rm1, m1);
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RefDynMat rm2 = m1.block(i,j,brows,bcols);
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VERIFY_IS_EQUAL(rm2, m1.block(i,j,brows,bcols));
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rm2.setOnes();
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m2.block(i,j,brows,bcols).setOnes();
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VERIFY_IS_EQUAL(m1, m2);
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m2.block(i,j,brows,bcols).setRandom();
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rm2 = m2.block(i,j,brows,bcols);
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VERIFY_IS_EQUAL(m1, m2);
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ConstRefDynMat rm3 = m1.block(i,j,brows,bcols);
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m1.block(i,j,brows,bcols) *= 2;
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m2.block(i,j,brows,bcols) *= 2;
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VERIFY_IS_EQUAL(rm3, m2.block(i,j,brows,bcols));
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RefRealMatWithStride rm4 = m1.real();
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VERIFY_IS_EQUAL(rm4, m2.real());
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rm4.array() += 1;
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m2.real().array() += 1;
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VERIFY_IS_EQUAL(m1, m2);
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}
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template<typename VectorType> void ref_vector(const VectorType& m)
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{
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typedef typename VectorType::Scalar Scalar;
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typedef typename VectorType::RealScalar RealScalar;
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typedef Matrix<Scalar,Dynamic,1,VectorType::Options> DynMatrixType;
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typedef Matrix<Scalar,Dynamic,Dynamic,ColMajor> MatrixType;
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typedef Matrix<RealScalar,Dynamic,1,VectorType::Options> RealDynMatrixType;
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typedef Ref<VectorType> RefMat;
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typedef Ref<DynMatrixType> RefDynMat;
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typedef Ref<const DynMatrixType> ConstRefDynMat;
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typedef Ref<RealDynMatrixType , 0, InnerStride<> > RefRealMatWithStride;
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typedef Ref<DynMatrixType , 0, InnerStride<> > RefMatWithStride;
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Index size = m.size();
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VectorType v1 = VectorType::Random(size),
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v2 = v1;
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MatrixType mat1 = MatrixType::Random(size,size),
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mat2 = mat1,
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mat3 = MatrixType::Random(size,size);
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Index i = internal::random<Index>(0,size-1);
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Index bsize = internal::random<Index>(1,size-i);
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{ RefMat rm0 = v1; VERIFY_IS_EQUAL(rm0, v1); }
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{ RefMat rm0 = v1.block(0,0,size,1); VERIFY_IS_EQUAL(rm0, v1); }
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{ RefDynMat rv1 = v1; VERIFY_IS_EQUAL(rv1, v1); }
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{ RefDynMat rv1 = v1.block(0,0,size,1); VERIFY_IS_EQUAL(rv1, v1); }
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{ VERIFY_RAISES_ASSERT( RefMat rm0 = v1.block(0, 0, size, 0); EIGEN_UNUSED_VARIABLE(rm0); ); }
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if(VectorType::SizeAtCompileTime!=1)
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{ VERIFY_RAISES_ASSERT( RefDynMat rv1 = v1.block(0, 0, size, 0); EIGEN_UNUSED_VARIABLE(rv1); ); }
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RefDynMat rv2 = v1.segment(i,bsize);
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VERIFY_IS_EQUAL(rv2, v1.segment(i,bsize));
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rv2.setOnes();
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v2.segment(i,bsize).setOnes();
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VERIFY_IS_EQUAL(v1, v2);
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v2.segment(i,bsize).setRandom();
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rv2 = v2.segment(i,bsize);
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VERIFY_IS_EQUAL(v1, v2);
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ConstRefDynMat rm3 = v1.segment(i,bsize);
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v1.segment(i,bsize) *= 2;
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v2.segment(i,bsize) *= 2;
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VERIFY_IS_EQUAL(rm3, v2.segment(i,bsize));
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RefRealMatWithStride rm4 = v1.real();
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VERIFY_IS_EQUAL(rm4, v2.real());
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rm4.array() += 1;
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v2.real().array() += 1;
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VERIFY_IS_EQUAL(v1, v2);
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RefMatWithStride rm5 = mat1.row(i).transpose();
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VERIFY_IS_EQUAL(rm5, mat1.row(i).transpose());
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rm5.array() += 1;
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mat2.row(i).array() += 1;
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VERIFY_IS_EQUAL(mat1, mat2);
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rm5.noalias() = rm4.transpose() * mat3;
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mat2.row(i) = v2.real().transpose() * mat3;
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VERIFY_IS_APPROX(mat1, mat2);
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}
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template<typename PlainObjectType> void check_const_correctness(const PlainObjectType&)
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{
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// verify that ref-to-const don't have LvalueBit
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typedef typename internal::add_const<PlainObjectType>::type ConstPlainObjectType;
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VERIFY( !(internal::traits<Ref<ConstPlainObjectType> >::Flags & LvalueBit) );
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VERIFY( !(internal::traits<Ref<ConstPlainObjectType, Aligned> >::Flags & LvalueBit) );
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VERIFY( !(Ref<ConstPlainObjectType>::Flags & LvalueBit) );
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VERIFY( !(Ref<ConstPlainObjectType, Aligned>::Flags & LvalueBit) );
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}
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template<typename B>
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EIGEN_DONT_INLINE void call_ref_1(Ref<VectorXf> a, const B &b) { VERIFY_IS_EQUAL(a,b); }
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template<typename B>
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EIGEN_DONT_INLINE void call_ref_2(const Ref<const VectorXf>& a, const B &b) { VERIFY_IS_EQUAL(a,b); }
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template<typename B>
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EIGEN_DONT_INLINE void call_ref_3(Ref<VectorXf,0,InnerStride<> > a, const B &b) { VERIFY_IS_EQUAL(a,b); }
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template<typename B>
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EIGEN_DONT_INLINE void call_ref_4(const Ref<const VectorXf,0,InnerStride<> >& a, const B &b) { VERIFY_IS_EQUAL(a,b); }
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template<typename B>
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EIGEN_DONT_INLINE void call_ref_5(Ref<MatrixXf,0,OuterStride<> > a, const B &b) { VERIFY_IS_EQUAL(a,b); }
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template<typename B>
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EIGEN_DONT_INLINE void call_ref_6(const Ref<const MatrixXf,0,OuterStride<> >& a, const B &b) { VERIFY_IS_EQUAL(a,b); }
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template<typename B>
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EIGEN_DONT_INLINE void call_ref_7(Ref<Matrix<float,Dynamic,3> > a, const B &b) { VERIFY_IS_EQUAL(a,b); }
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void call_ref()
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{
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VectorXcf ca = VectorXcf::Random(10);
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VectorXf a = VectorXf::Random(10);
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RowVectorXf b = RowVectorXf::Random(10);
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MatrixXf A = MatrixXf::Random(10,10);
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RowVector3f c = RowVector3f::Random();
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const VectorXf& ac(a);
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VectorBlock<VectorXf> ab(a,0,3);
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const VectorBlock<VectorXf> abc(a,0,3);
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VERIFY_EVALUATION_COUNT( call_ref_1(a,a), 0);
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VERIFY_EVALUATION_COUNT( call_ref_1(b,b.transpose()), 0);
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// call_ref_1(ac,a<c); // does not compile because ac is const
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VERIFY_EVALUATION_COUNT( call_ref_1(ab,ab), 0);
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VERIFY_EVALUATION_COUNT( call_ref_1(a.head(4),a.head(4)), 0);
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VERIFY_EVALUATION_COUNT( call_ref_1(abc,abc), 0);
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VERIFY_EVALUATION_COUNT( call_ref_1(A.col(3),A.col(3)), 0);
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// call_ref_1(A.row(3),A.row(3)); // does not compile because innerstride!=1
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VERIFY_EVALUATION_COUNT( call_ref_3(A.row(3),A.row(3).transpose()), 0);
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VERIFY_EVALUATION_COUNT( call_ref_4(A.row(3),A.row(3).transpose()), 0);
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// call_ref_1(a+a, a+a); // does not compile for obvious reason
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MatrixXf tmp = A*A.col(1);
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VERIFY_EVALUATION_COUNT( call_ref_2(A*A.col(1), tmp), 1); // evaluated into a temp
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VERIFY_EVALUATION_COUNT( call_ref_2(ac.head(5),ac.head(5)), 0);
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VERIFY_EVALUATION_COUNT( call_ref_2(ac,ac), 0);
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VERIFY_EVALUATION_COUNT( call_ref_2(a,a), 0);
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VERIFY_EVALUATION_COUNT( call_ref_2(ab,ab), 0);
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VERIFY_EVALUATION_COUNT( call_ref_2(a.head(4),a.head(4)), 0);
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tmp = a+a;
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VERIFY_EVALUATION_COUNT( call_ref_2(a+a,tmp), 1); // evaluated into a temp
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VERIFY_EVALUATION_COUNT( call_ref_2(ca.imag(),ca.imag()), 1); // evaluated into a temp
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VERIFY_EVALUATION_COUNT( call_ref_4(ac.head(5),ac.head(5)), 0);
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tmp = a+a;
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VERIFY_EVALUATION_COUNT( call_ref_4(a+a,tmp), 1); // evaluated into a temp
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VERIFY_EVALUATION_COUNT( call_ref_4(ca.imag(),ca.imag()), 0);
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VERIFY_EVALUATION_COUNT( call_ref_5(a,a), 0);
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VERIFY_EVALUATION_COUNT( call_ref_5(a.head(3),a.head(3)), 0);
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VERIFY_EVALUATION_COUNT( call_ref_5(A,A), 0);
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// call_ref_5(A.transpose(),A.transpose()); // does not compile because storage order does not match
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VERIFY_EVALUATION_COUNT( call_ref_5(A.block(1,1,2,2),A.block(1,1,2,2)), 0);
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VERIFY_EVALUATION_COUNT( call_ref_5(b,b), 0); // storage order do not match, but this is a degenerate case that should work
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VERIFY_EVALUATION_COUNT( call_ref_5(a.row(3),a.row(3)), 0);
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VERIFY_EVALUATION_COUNT( call_ref_6(a,a), 0);
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VERIFY_EVALUATION_COUNT( call_ref_6(a.head(3),a.head(3)), 0);
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VERIFY_EVALUATION_COUNT( call_ref_6(A.row(3),A.row(3)), 1); // evaluated into a temp thouth it could be avoided by viewing it as a 1xn matrix
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tmp = A+A;
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VERIFY_EVALUATION_COUNT( call_ref_6(A+A,tmp), 1); // evaluated into a temp
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VERIFY_EVALUATION_COUNT( call_ref_6(A,A), 0);
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VERIFY_EVALUATION_COUNT( call_ref_6(A.transpose(),A.transpose()), 1); // evaluated into a temp because the storage orders do not match
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VERIFY_EVALUATION_COUNT( call_ref_6(A.block(1,1,2,2),A.block(1,1,2,2)), 0);
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VERIFY_EVALUATION_COUNT( call_ref_7(c,c), 0);
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}
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typedef Matrix<double,Dynamic,Dynamic,RowMajor> RowMatrixXd;
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int test_ref_overload_fun1(Ref<MatrixXd> ) { return 1; }
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int test_ref_overload_fun1(Ref<RowMatrixXd> ) { return 2; }
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int test_ref_overload_fun1(Ref<MatrixXf> ) { return 3; }
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int test_ref_overload_fun2(Ref<const MatrixXd> ) { return 4; }
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int test_ref_overload_fun2(Ref<const MatrixXf> ) { return 5; }
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void test_ref_ambiguous(const Ref<const ArrayXd> &A, Ref<ArrayXd> B)
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{
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B = A;
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B = A - A;
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}
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// See also bug 969
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void test_ref_overloads()
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{
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MatrixXd Ad, Bd;
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RowMatrixXd rAd, rBd;
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VERIFY( test_ref_overload_fun1(Ad)==1 );
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VERIFY( test_ref_overload_fun1(rAd)==2 );
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MatrixXf Af, Bf;
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VERIFY( test_ref_overload_fun2(Ad)==4 );
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VERIFY( test_ref_overload_fun2(Ad+Bd)==4 );
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VERIFY( test_ref_overload_fun2(Af+Bf)==5 );
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ArrayXd A, B;
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test_ref_ambiguous(A, B);
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}
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void test_ref_fixed_size_assert()
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{
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Vector4f v4;
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VectorXf vx(10);
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VERIFY_RAISES_STATIC_ASSERT( Ref<Vector3f> y = v4; (void)y; );
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VERIFY_RAISES_STATIC_ASSERT( Ref<Vector3f> y = vx.head<4>(); (void)y; );
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VERIFY_RAISES_STATIC_ASSERT( Ref<const Vector3f> y = v4; (void)y; );
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VERIFY_RAISES_STATIC_ASSERT( Ref<const Vector3f> y = vx.head<4>(); (void)y; );
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VERIFY_RAISES_STATIC_ASSERT( Ref<const Vector3f> y = 2*v4; (void)y; );
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}
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void test_ref()
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{
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for(int i = 0; i < g_repeat; i++) {
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CALL_SUBTEST_1( ref_vector(Matrix<float, 1, 1>()) );
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CALL_SUBTEST_1( check_const_correctness(Matrix<float, 1, 1>()) );
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CALL_SUBTEST_2( ref_vector(Vector4d()) );
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CALL_SUBTEST_2( check_const_correctness(Matrix4d()) );
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CALL_SUBTEST_3( ref_vector(Vector4cf()) );
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CALL_SUBTEST_4( ref_vector(VectorXcf(8)) );
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CALL_SUBTEST_5( ref_vector(VectorXi(12)) );
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CALL_SUBTEST_5( check_const_correctness(VectorXi(12)) );
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CALL_SUBTEST_1( ref_matrix(Matrix<float, 1, 1>()) );
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CALL_SUBTEST_2( ref_matrix(Matrix4d()) );
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CALL_SUBTEST_1( ref_matrix(Matrix<float,3,5>()) );
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CALL_SUBTEST_4( ref_matrix(MatrixXcf(internal::random<int>(1,10),internal::random<int>(1,10))) );
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CALL_SUBTEST_4( ref_matrix(Matrix<std::complex<double>,10,15>()) );
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CALL_SUBTEST_5( ref_matrix(MatrixXi(internal::random<int>(1,10),internal::random<int>(1,10))) );
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CALL_SUBTEST_6( call_ref() );
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}
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CALL_SUBTEST_7( test_ref_overloads() );
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CALL_SUBTEST_7( test_ref_fixed_size_assert() );
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}
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