eigen/test/vectorization_logic.cpp

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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
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// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// 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/.
#define EIGEN_DEBUG_ASSIGN
#include "main.h"
#include <typeinfo>
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std::string demangle_traversal(int t)
{
if(t==DefaultTraversal) return "DefaultTraversal";
if(t==LinearTraversal) return "LinearTraversal";
if(t==InnerVectorizedTraversal) return "InnerVectorizedTraversal";
if(t==LinearVectorizedTraversal) return "LinearVectorizedTraversal";
if(t==SliceVectorizedTraversal) return "SliceVectorizedTraversal";
return "?";
}
std::string demangle_unrolling(int t)
{
if(t==NoUnrolling) return "NoUnrolling";
if(t==InnerUnrolling) return "InnerUnrolling";
if(t==CompleteUnrolling) return "CompleteUnrolling";
return "?";
}
std::string demangle_flags(int f)
{
std::string res;
if(f&RowMajorBit) res += " | RowMajor";
if(f&PacketAccessBit) res += " | Packet";
if(f&LinearAccessBit) res += " | Linear";
if(f&LvalueBit) res += " | Lvalue";
if(f&DirectAccessBit) res += " | Direct";
if(f&NestByRefBit) res += " | NestByRef";
if(f&NoPreferredStorageOrderBit) res += " | NoPreferredStorageOrderBit";
return res;
}
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template<typename Dst, typename Src>
bool test_assign(const Dst&, const Src&, int traversal, int unrolling)
{
typedef internal::copy_using_evaluator_traits<internal::evaluator<Dst>,internal::evaluator<Src>, internal::assign_op<typename Dst::Scalar> > traits;
bool res = traits::Traversal==traversal && traits::Unrolling==unrolling;
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if(!res)
{
std::cerr << "Src: " << demangle_flags(Src::Flags) << std::endl;
std::cerr << " " << demangle_flags(internal::evaluator<Src>::Flags) << std::endl;
std::cerr << "Dst: " << demangle_flags(Dst::Flags) << std::endl;
std::cerr << " " << demangle_flags(internal::evaluator<Dst>::Flags) << std::endl;
traits::debug();
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std::cerr << " Expected Traversal == " << demangle_traversal(traversal)
<< " got " << demangle_traversal(traits::Traversal) << "\n";
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std::cerr << " Expected Unrolling == " << demangle_unrolling(unrolling)
<< " got " << demangle_unrolling(traits::Unrolling) << "\n";
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}
return res;
}
template<typename Dst, typename Src>
bool test_assign(int traversal, int unrolling)
{
typedef internal::copy_using_evaluator_traits<internal::evaluator<Dst>,internal::evaluator<Src>, internal::assign_op<typename Dst::Scalar> > traits;
bool res = traits::Traversal==traversal && traits::Unrolling==unrolling;
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if(!res)
{
std::cerr << "Src: " << demangle_flags(Src::Flags) << std::endl;
std::cerr << " " << demangle_flags(internal::evaluator<Src>::Flags) << std::endl;
std::cerr << "Dst: " << demangle_flags(Dst::Flags) << std::endl;
std::cerr << " " << demangle_flags(internal::evaluator<Dst>::Flags) << std::endl;
traits::debug();
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std::cerr << " Expected Traversal == " << demangle_traversal(traversal)
<< " got " << demangle_traversal(traits::Traversal) << "\n";
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std::cerr << " Expected Unrolling == " << demangle_unrolling(unrolling)
<< " got " << demangle_unrolling(traits::Unrolling) << "\n";
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}
return res;
}
template<typename Xpr>
bool test_redux(const Xpr&, int traversal, int unrolling)
{
typedef internal::redux_traits<internal::scalar_sum_op<typename Xpr::Scalar>,internal::redux_evaluator<Xpr> > traits;
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bool res = traits::Traversal==traversal && traits::Unrolling==unrolling;
if(!res)
{
std::cerr << demangle_flags(Xpr::Flags) << std::endl;
std::cerr << demangle_flags(internal::evaluator<Xpr>::Flags) << std::endl;
traits::debug();
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std::cerr << " Expected Traversal == " << demangle_traversal(traversal)
<< " got " << demangle_traversal(traits::Traversal) << "\n";
std::cerr << " Expected Unrolling == " << demangle_unrolling(unrolling)
<< " got " << demangle_unrolling(traits::Unrolling) << "\n";
}
return res;
}
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template<typename Scalar, bool Enable = internal::packet_traits<Scalar>::Vectorizable>
struct vectorization_logic
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{
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typedef internal::packet_traits<Scalar> PacketTraits;
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typedef typename internal::packet_traits<Scalar>::type PacketType;
typedef typename internal::unpacket_traits<PacketType>::half HalfPacketType;
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enum {
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PacketSize = internal::unpacket_traits<PacketType>::size,
HalfPacketSize = internal::unpacket_traits<HalfPacketType>::size
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};
static void run()
{
typedef Matrix<Scalar,PacketSize,1> Vector1;
typedef Matrix<Scalar,Dynamic,1> VectorX;
typedef Matrix<Scalar,Dynamic,Dynamic> MatrixXX;
typedef Matrix<Scalar,PacketSize,PacketSize> Matrix11;
typedef Matrix<Scalar,2*PacketSize,2*PacketSize> Matrix22;
typedef Matrix<Scalar,(Matrix11::Flags&RowMajorBit)?16:4*PacketSize,(Matrix11::Flags&RowMajorBit)?4*PacketSize:16> Matrix44;
typedef Matrix<Scalar,(Matrix11::Flags&RowMajorBit)?16:4*PacketSize,(Matrix11::Flags&RowMajorBit)?4*PacketSize:16,DontAlign|EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION> Matrix44u;
typedef Matrix<Scalar,4*PacketSize,4*PacketSize,ColMajor> Matrix44c;
typedef Matrix<Scalar,4*PacketSize,4*PacketSize,RowMajor> Matrix44r;
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typedef Matrix<Scalar,
(PacketSize==8 ? 4 : PacketSize==4 ? 2 : PacketSize==2 ? 1 : /*PacketSize==1 ?*/ 1),
(PacketSize==8 ? 2 : PacketSize==4 ? 2 : PacketSize==2 ? 2 : /*PacketSize==1 ?*/ 1)
> Matrix1;
typedef Matrix<Scalar,
(PacketSize==8 ? 4 : PacketSize==4 ? 2 : PacketSize==2 ? 1 : /*PacketSize==1 ?*/ 1),
(PacketSize==8 ? 2 : PacketSize==4 ? 2 : PacketSize==2 ? 2 : /*PacketSize==1 ?*/ 1),
DontAlign|((Matrix1::Flags&RowMajorBit)?RowMajor:ColMajor)> Matrix1u;
// this type is made such that it can only be vectorized when viewed as a linear 1D vector
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typedef Matrix<Scalar,
(PacketSize==8 ? 4 : PacketSize==4 ? 6 : PacketSize==2 ? ((Matrix11::Flags&RowMajorBit)?2:3) : /*PacketSize==1 ?*/ 1),
(PacketSize==8 ? 6 : PacketSize==4 ? 2 : PacketSize==2 ? ((Matrix11::Flags&RowMajorBit)?3:2) : /*PacketSize==1 ?*/ 3)
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> Matrix3;
#if !EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT
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VERIFY(test_assign(Vector1(),Vector1(),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Vector1(),Vector1()+Vector1(),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Vector1(),Vector1().cwiseProduct(Vector1()),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Vector1(),Vector1().template cast<Scalar>(),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Vector1(),Vector1(),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Vector1(),Vector1()+Vector1(),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Vector1(),Vector1().cwiseProduct(Vector1()),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Matrix44(),Matrix44()+Matrix44(),
InnerVectorizedTraversal,InnerUnrolling));
VERIFY(test_assign(Matrix44u(),Matrix44()+Matrix44(),
LinearTraversal,NoUnrolling));
VERIFY(test_assign(Matrix1u(),Matrix1()+Matrix1(),
LinearTraversal,CompleteUnrolling));
VERIFY(test_assign(Matrix44c().col(1),Matrix44c().col(2)+Matrix44c().col(3),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Matrix44r().row(2),Matrix44r().row(1)+Matrix44r().row(1),
InnerVectorizedTraversal,CompleteUnrolling));
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if(PacketSize>1)
{
typedef Matrix<Scalar,3,3,ColMajor> Matrix33c;
VERIFY(test_assign(Matrix33c().row(2),Matrix33c().row(1)+Matrix33c().row(1),
LinearTraversal,CompleteUnrolling));
VERIFY(test_assign(Matrix33c().col(0),Matrix33c().col(1)+Matrix33c().col(1),
LinearTraversal,CompleteUnrolling));
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VERIFY(test_assign(Matrix3(),Matrix3().cwiseQuotient(Matrix3()),
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PacketTraits::HasDiv ? LinearVectorizedTraversal : LinearTraversal,CompleteUnrolling));
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VERIFY(test_assign(Matrix<Scalar,17,17>(),Matrix<Scalar,17,17>()+Matrix<Scalar,17,17>(),
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HalfPacketSize==1 ? InnerVectorizedTraversal : LinearTraversal,NoUnrolling));
VERIFY(test_assign(Matrix11(),Matrix<Scalar,17,17>().template block<PacketSize,PacketSize>(2,3)+Matrix<Scalar,17,17>().template block<PacketSize,PacketSize>(8,4),
DefaultTraversal,PacketSize>4?InnerUnrolling:CompleteUnrolling));
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}
VERIFY(test_redux(Matrix3(),
LinearVectorizedTraversal,CompleteUnrolling));
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VERIFY(test_redux(Matrix44(),
LinearVectorizedTraversal,NoUnrolling));
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VERIFY(test_redux(Matrix44().template block<(Matrix1::Flags&RowMajorBit)?4:PacketSize,(Matrix1::Flags&RowMajorBit)?PacketSize:4>(1,2),
DefaultTraversal,CompleteUnrolling));
VERIFY(test_redux(Matrix44c().template block<2*PacketSize,1>(1,2),
LinearVectorizedTraversal,CompleteUnrolling));
VERIFY(test_redux(Matrix44r().template block<1,2*PacketSize>(2,1),
LinearVectorizedTraversal,CompleteUnrolling));
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VERIFY((test_assign<
Map<Matrix22, AlignedMax, OuterStride<3*PacketSize> >,
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Matrix22
>(InnerVectorizedTraversal,CompleteUnrolling)));
VERIFY((test_assign<
Map<Matrix<Scalar,EIGEN_PLAIN_ENUM_MAX(2,PacketSize),EIGEN_PLAIN_ENUM_MAX(2,PacketSize)>, AlignedMax, InnerStride<3*PacketSize> >,
Matrix<Scalar,EIGEN_PLAIN_ENUM_MAX(2,PacketSize),EIGEN_PLAIN_ENUM_MAX(2,PacketSize)>
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>(DefaultTraversal,CompleteUnrolling)));
VERIFY((test_assign(Matrix11(), Matrix<Scalar,PacketSize,EIGEN_PLAIN_ENUM_MIN(2,PacketSize)>()*Matrix<Scalar,EIGEN_PLAIN_ENUM_MIN(2,PacketSize),PacketSize>(),
InnerVectorizedTraversal, CompleteUnrolling)));
#endif
VERIFY(test_assign(MatrixXX(10,10),MatrixXX(20,20).block(10,10,2,3),
SliceVectorizedTraversal,NoUnrolling));
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VERIFY(test_redux(VectorX(10),
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LinearVectorizedTraversal,NoUnrolling));
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}
};
template<typename Scalar> struct vectorization_logic<Scalar,false>
{
static void run() {}
};
template<typename Scalar, bool Enable = !internal::is_same<typename internal::unpacket_traits<typename internal::packet_traits<Scalar>::type>::half,
typename internal::packet_traits<Scalar>::type>::value >
struct vectorization_logic_half
{
typedef internal::packet_traits<Scalar> PacketTraits;
typedef typename internal::unpacket_traits<typename internal::packet_traits<Scalar>::type>::half PacketType;
enum {
PacketSize = internal::unpacket_traits<PacketType>::size
};
static void run()
{
typedef Matrix<Scalar,PacketSize,1> Vector1;
typedef Matrix<Scalar,PacketSize,PacketSize> Matrix11;
typedef Matrix<Scalar,5*PacketSize,7,ColMajor> Matrix57;
typedef Matrix<Scalar,5*PacketSize,7,DontAlign|ColMajor> Matrix57u;
// typedef Matrix<Scalar,(Matrix11::Flags&RowMajorBit)?16:4*PacketSize,(Matrix11::Flags&RowMajorBit)?4*PacketSize:16> Matrix44;
// typedef Matrix<Scalar,(Matrix11::Flags&RowMajorBit)?16:4*PacketSize,(Matrix11::Flags&RowMajorBit)?4*PacketSize:16,DontAlign|EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION> Matrix44u;
// typedef Matrix<Scalar,4*PacketSize,4*PacketSize,ColMajor> Matrix44c;
// typedef Matrix<Scalar,4*PacketSize,4*PacketSize,RowMajor> Matrix44r;
typedef Matrix<Scalar,
(PacketSize==8 ? 4 : PacketSize==4 ? 2 : PacketSize==2 ? 1 : /*PacketSize==1 ?*/ 1),
(PacketSize==8 ? 2 : PacketSize==4 ? 2 : PacketSize==2 ? 2 : /*PacketSize==1 ?*/ 1)
> Matrix1;
typedef Matrix<Scalar,
(PacketSize==8 ? 4 : PacketSize==4 ? 2 : PacketSize==2 ? 1 : /*PacketSize==1 ?*/ 1),
(PacketSize==8 ? 2 : PacketSize==4 ? 2 : PacketSize==2 ? 2 : /*PacketSize==1 ?*/ 1),
DontAlign|((Matrix1::Flags&RowMajorBit)?RowMajor:ColMajor)> Matrix1u;
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// this type is made such that it can only be vectorized when viewed as a linear 1D vector
typedef Matrix<Scalar,
(PacketSize==8 ? 4 : PacketSize==4 ? 6 : PacketSize==2 ? ((Matrix11::Flags&RowMajorBit)?2:3) : /*PacketSize==1 ?*/ 1),
(PacketSize==8 ? 6 : PacketSize==4 ? 2 : PacketSize==2 ? ((Matrix11::Flags&RowMajorBit)?3:2) : /*PacketSize==1 ?*/ 3)
> Matrix3;
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#if !EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT
VERIFY(test_assign(Vector1(),Vector1(),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Vector1(),Vector1()+Vector1(),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Vector1(),Vector1().cwiseProduct(Vector1()),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Vector1(),Vector1().template cast<Scalar>(),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Vector1(),Vector1(),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Vector1(),Vector1()+Vector1(),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Vector1(),Vector1().cwiseProduct(Vector1()),
InnerVectorizedTraversal,CompleteUnrolling));
VERIFY(test_assign(Matrix57(),Matrix57()+Matrix57(),
InnerVectorizedTraversal,InnerUnrolling));
VERIFY(test_assign(Matrix57u(),Matrix57()+Matrix57(),
LinearTraversal,NoUnrolling));
VERIFY(test_assign(Matrix1u(),Matrix1()+Matrix1(),
LinearTraversal,CompleteUnrolling));
if(PacketSize>1)
{
typedef Matrix<Scalar,3,3,ColMajor> Matrix33c;
VERIFY(test_assign(Matrix33c().row(2),Matrix33c().row(1)+Matrix33c().row(1),
LinearTraversal,CompleteUnrolling));
VERIFY(test_assign(Matrix33c().col(0),Matrix33c().col(1)+Matrix33c().col(1),
LinearTraversal,CompleteUnrolling));
VERIFY(test_assign(Matrix3(),Matrix3().cwiseQuotient(Matrix3()),
PacketTraits::HasDiv ? LinearVectorizedTraversal : LinearTraversal,CompleteUnrolling));
VERIFY(test_assign(Matrix<Scalar,17,17>(),Matrix<Scalar,17,17>()+Matrix<Scalar,17,17>(),
LinearTraversal,NoUnrolling));
VERIFY(test_assign(Matrix11(),Matrix<Scalar,17,17>().template block<PacketSize,PacketSize>(2,3)+Matrix<Scalar,17,17>().template block<PacketSize,PacketSize>(8,4),
DefaultTraversal,PacketSize>4?InnerUnrolling:CompleteUnrolling));
}
VERIFY(test_redux(Matrix3(),
LinearVectorizedTraversal,CompleteUnrolling));
VERIFY(test_redux(Matrix57(),
LinearVectorizedTraversal,CompleteUnrolling));
VERIFY(test_redux(Matrix57().template block<PacketSize,3>(1,0),
DefaultTraversal,CompleteUnrolling));
VERIFY((test_assign<
Map<Matrix<Scalar,EIGEN_PLAIN_ENUM_MAX(2,PacketSize),EIGEN_PLAIN_ENUM_MAX(2,PacketSize)>, AlignedMax, InnerStride<3*PacketSize> >,
Matrix<Scalar,EIGEN_PLAIN_ENUM_MAX(2,PacketSize),EIGEN_PLAIN_ENUM_MAX(2,PacketSize)>
>(DefaultTraversal,CompleteUnrolling)));
VERIFY((test_assign(Matrix57(), Matrix<Scalar,5*PacketSize,3>()*Matrix<Scalar,3,7>(),
InnerVectorizedTraversal, CompleteUnrolling)));
#endif
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}
};
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template<typename Scalar> struct vectorization_logic_half<Scalar,false>
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{
static void run() {}
};
void test_vectorization_logic()
{
#ifdef EIGEN_VECTORIZE
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CALL_SUBTEST( vectorization_logic<int>::run() );
CALL_SUBTEST( vectorization_logic<float>::run() );
CALL_SUBTEST( vectorization_logic<double>::run() );
CALL_SUBTEST( vectorization_logic<std::complex<float> >::run() );
CALL_SUBTEST( vectorization_logic<std::complex<double> >::run() );
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CALL_SUBTEST( vectorization_logic_half<int>::run() );
CALL_SUBTEST( vectorization_logic_half<float>::run() );
CALL_SUBTEST( vectorization_logic_half<double>::run() );
CALL_SUBTEST( vectorization_logic_half<std::complex<float> >::run() );
CALL_SUBTEST( vectorization_logic_half<std::complex<double> >::run() );
if(internal::packet_traits<float>::Vectorizable)
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{
VERIFY(test_assign(Matrix<float,3,3>(),Matrix<float,3,3>()+Matrix<float,3,3>(),
LinearTraversal,CompleteUnrolling));
VERIFY(test_redux(Matrix<float,5,2>(),
DefaultTraversal,CompleteUnrolling));
}
if(internal::packet_traits<double>::Vectorizable)
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{
VERIFY(test_assign(Matrix<double,3,3>(),Matrix<double,3,3>()+Matrix<double,3,3>(),
LinearTraversal,CompleteUnrolling));
VERIFY(test_redux(Matrix<double,7,3>(),
DefaultTraversal,CompleteUnrolling));
}
#endif // EIGEN_VECTORIZE
}