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      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 20013 Gael Guennebaud <gael.guennebaud (at) inria.fr>
      5 //
      6 // This Source Code Form is subject to the terms of the Mozilla
      7 // Public License v. 2.0. If a copy of the MPL was not distributed
      8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
      9 
     10 // This unit test cannot be easily written to work with EIGEN_DEFAULT_TO_ROW_MAJOR
     11 #ifdef EIGEN_DEFAULT_TO_ROW_MAJOR
     12 #undef EIGEN_DEFAULT_TO_ROW_MAJOR
     13 #endif
     14 
     15 static int nb_temporaries;
     16 
     17 inline void on_temporary_creation(int) {
     18   // here's a great place to set a breakpoint when debugging failures in this test!
     19   nb_temporaries++;
     20 }
     21 
     22 
     23 #define EIGEN_DENSE_STORAGE_CTOR_PLUGIN { on_temporary_creation(size); }
     24 
     25 #include "main.h"
     26 
     27 #define VERIFY_EVALUATION_COUNT(XPR,N) {\
     28     nb_temporaries = 0; \
     29     XPR; \
     30     if(nb_temporaries!=N) std::cerr << "nb_temporaries == " << nb_temporaries << "\n"; \
     31     VERIFY( (#XPR) && nb_temporaries==N ); \
     32   }
     33 
     34 
     35 // test Ref.h
     36 
     37 template<typename MatrixType> void ref_matrix(const MatrixType& m)
     38 {
     39   typedef typename MatrixType::Index Index;
     40   typedef typename MatrixType::Scalar Scalar;
     41   typedef typename MatrixType::RealScalar RealScalar;
     42   typedef Matrix<Scalar,Dynamic,Dynamic,MatrixType::Options> DynMatrixType;
     43   typedef Matrix<RealScalar,Dynamic,Dynamic,MatrixType::Options> RealDynMatrixType;
     44 
     45   typedef Ref<MatrixType> RefMat;
     46   typedef Ref<DynMatrixType> RefDynMat;
     47   typedef Ref<const DynMatrixType> ConstRefDynMat;
     48   typedef Ref<RealDynMatrixType , 0, Stride<Dynamic,Dynamic> > RefRealMatWithStride;
     49 
     50   Index rows = m.rows(), cols = m.cols();
     51 
     52   MatrixType  m1 = MatrixType::Random(rows, cols),
     53               m2 = m1;
     54 
     55   Index i = internal::random<Index>(0,rows-1);
     56   Index j = internal::random<Index>(0,cols-1);
     57   Index brows = internal::random<Index>(1,rows-i);
     58   Index bcols = internal::random<Index>(1,cols-j);
     59 
     60   RefMat rm0 = m1;
     61   VERIFY_IS_EQUAL(rm0, m1);
     62   RefDynMat rm1 = m1;
     63   VERIFY_IS_EQUAL(rm1, m1);
     64   RefDynMat rm2 = m1.block(i,j,brows,bcols);
     65   VERIFY_IS_EQUAL(rm2, m1.block(i,j,brows,bcols));
     66   rm2.setOnes();
     67   m2.block(i,j,brows,bcols).setOnes();
     68   VERIFY_IS_EQUAL(m1, m2);
     69 
     70   m2.block(i,j,brows,bcols).setRandom();
     71   rm2 = m2.block(i,j,brows,bcols);
     72   VERIFY_IS_EQUAL(m1, m2);
     73 
     74 
     75   ConstRefDynMat rm3 = m1.block(i,j,brows,bcols);
     76   m1.block(i,j,brows,bcols) *= 2;
     77   m2.block(i,j,brows,bcols) *= 2;
     78   VERIFY_IS_EQUAL(rm3, m2.block(i,j,brows,bcols));
     79   RefRealMatWithStride rm4 = m1.real();
     80   VERIFY_IS_EQUAL(rm4, m2.real());
     81   rm4.array() += 1;
     82   m2.real().array() += 1;
     83   VERIFY_IS_EQUAL(m1, m2);
     84 }
     85 
     86 template<typename VectorType> void ref_vector(const VectorType& m)
     87 {
     88   typedef typename VectorType::Index Index;
     89   typedef typename VectorType::Scalar Scalar;
     90   typedef typename VectorType::RealScalar RealScalar;
     91   typedef Matrix<Scalar,Dynamic,1,VectorType::Options> DynMatrixType;
     92   typedef Matrix<Scalar,Dynamic,Dynamic,ColMajor> MatrixType;
     93   typedef Matrix<RealScalar,Dynamic,1,VectorType::Options> RealDynMatrixType;
     94 
     95   typedef Ref<VectorType> RefMat;
     96   typedef Ref<DynMatrixType> RefDynMat;
     97   typedef Ref<const DynMatrixType> ConstRefDynMat;
     98   typedef Ref<RealDynMatrixType , 0, InnerStride<> > RefRealMatWithStride;
     99   typedef Ref<DynMatrixType , 0, InnerStride<> > RefMatWithStride;
    100 
    101   Index size = m.size();
    102 
    103   VectorType  v1 = VectorType::Random(size),
    104               v2 = v1;
    105   MatrixType mat1 = MatrixType::Random(size,size),
    106              mat2 = mat1,
    107              mat3 = MatrixType::Random(size,size);
    108 
    109   Index i = internal::random<Index>(0,size-1);
    110   Index bsize = internal::random<Index>(1,size-i);
    111 
    112   RefMat rm0 = v1;
    113   VERIFY_IS_EQUAL(rm0, v1);
    114   RefDynMat rv1 = v1;
    115   VERIFY_IS_EQUAL(rv1, v1);
    116   RefDynMat rv2 = v1.segment(i,bsize);
    117   VERIFY_IS_EQUAL(rv2, v1.segment(i,bsize));
    118   rv2.setOnes();
    119   v2.segment(i,bsize).setOnes();
    120   VERIFY_IS_EQUAL(v1, v2);
    121 
    122   v2.segment(i,bsize).setRandom();
    123   rv2 = v2.segment(i,bsize);
    124   VERIFY_IS_EQUAL(v1, v2);
    125 
    126   ConstRefDynMat rm3 = v1.segment(i,bsize);
    127   v1.segment(i,bsize) *= 2;
    128   v2.segment(i,bsize) *= 2;
    129   VERIFY_IS_EQUAL(rm3, v2.segment(i,bsize));
    130 
    131   RefRealMatWithStride rm4 = v1.real();
    132   VERIFY_IS_EQUAL(rm4, v2.real());
    133   rm4.array() += 1;
    134   v2.real().array() += 1;
    135   VERIFY_IS_EQUAL(v1, v2);
    136 
    137   RefMatWithStride rm5 = mat1.row(i).transpose();
    138   VERIFY_IS_EQUAL(rm5, mat1.row(i).transpose());
    139   rm5.array() += 1;
    140   mat2.row(i).array() += 1;
    141   VERIFY_IS_EQUAL(mat1, mat2);
    142   rm5.noalias() = rm4.transpose() * mat3;
    143   mat2.row(i) = v2.real().transpose() * mat3;
    144   VERIFY_IS_APPROX(mat1, mat2);
    145 }
    146 
    147 template<typename PlainObjectType> void check_const_correctness(const PlainObjectType&)
    148 {
    149   // verify that ref-to-const don't have LvalueBit
    150   typedef typename internal::add_const<PlainObjectType>::type ConstPlainObjectType;
    151   VERIFY( !(internal::traits<Ref<ConstPlainObjectType> >::Flags & LvalueBit) );
    152   VERIFY( !(internal::traits<Ref<ConstPlainObjectType, Aligned> >::Flags & LvalueBit) );
    153   VERIFY( !(Ref<ConstPlainObjectType>::Flags & LvalueBit) );
    154   VERIFY( !(Ref<ConstPlainObjectType, Aligned>::Flags & LvalueBit) );
    155 }
    156 
    157 template<typename B>
    158 EIGEN_DONT_INLINE void call_ref_1(Ref<VectorXf> a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    159 template<typename B>
    160 EIGEN_DONT_INLINE void call_ref_2(const Ref<const VectorXf>& a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    161 template<typename B>
    162 EIGEN_DONT_INLINE void call_ref_3(Ref<VectorXf,0,InnerStride<> > a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    163 template<typename B>
    164 EIGEN_DONT_INLINE void call_ref_4(const Ref<const VectorXf,0,InnerStride<> >& a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    165 template<typename B>
    166 EIGEN_DONT_INLINE void call_ref_5(Ref<MatrixXf,0,OuterStride<> > a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    167 template<typename B>
    168 EIGEN_DONT_INLINE void call_ref_6(const Ref<const MatrixXf,0,OuterStride<> >& a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    169 template<typename B>
    170 EIGEN_DONT_INLINE void call_ref_7(Ref<Matrix<float,Dynamic,3> > a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    171 
    172 void call_ref()
    173 {
    174   VectorXcf ca  = VectorXcf::Random(10);
    175   VectorXf a    = VectorXf::Random(10);
    176   RowVectorXf b = RowVectorXf::Random(10);
    177   MatrixXf A    = MatrixXf::Random(10,10);
    178   RowVector3f c = RowVector3f::Random();
    179   const VectorXf& ac(a);
    180   VectorBlock<VectorXf> ab(a,0,3);
    181   const VectorBlock<VectorXf> abc(a,0,3);
    182 
    183 
    184   VERIFY_EVALUATION_COUNT( call_ref_1(a,a), 0);
    185   VERIFY_EVALUATION_COUNT( call_ref_1(b,b.transpose()), 0);
    186 //   call_ref_1(ac);           // does not compile because ac is const
    187   VERIFY_EVALUATION_COUNT( call_ref_1(ab,ab), 0);
    188   VERIFY_EVALUATION_COUNT( call_ref_1(a.head(4),a.head(4)), 0);
    189   VERIFY_EVALUATION_COUNT( call_ref_1(abc,abc), 0);
    190   VERIFY_EVALUATION_COUNT( call_ref_1(A.col(3),A.col(3)), 0);
    191 //   call_ref_1(A.row(3));    // does not compile because innerstride!=1
    192   VERIFY_EVALUATION_COUNT( call_ref_3(A.row(3),A.row(3).transpose()), 0);
    193   VERIFY_EVALUATION_COUNT( call_ref_4(A.row(3),A.row(3).transpose()), 0);
    194 //   call_ref_1(a+a);          // does not compile for obvious reason
    195 
    196   MatrixXf tmp = A*A.col(1);
    197   VERIFY_EVALUATION_COUNT( call_ref_2(A*A.col(1), tmp), 1);     // evaluated into a temp
    198   VERIFY_EVALUATION_COUNT( call_ref_2(ac.head(5),ac.head(5)), 0);
    199   VERIFY_EVALUATION_COUNT( call_ref_2(ac,ac), 0);
    200   VERIFY_EVALUATION_COUNT( call_ref_2(a,a), 0);
    201   VERIFY_EVALUATION_COUNT( call_ref_2(ab,ab), 0);
    202   VERIFY_EVALUATION_COUNT( call_ref_2(a.head(4),a.head(4)), 0);
    203   tmp = a+a;
    204   VERIFY_EVALUATION_COUNT( call_ref_2(a+a,tmp), 1);            // evaluated into a temp
    205   VERIFY_EVALUATION_COUNT( call_ref_2(ca.imag(),ca.imag()), 1);      // evaluated into a temp
    206 
    207   VERIFY_EVALUATION_COUNT( call_ref_4(ac.head(5),ac.head(5)), 0);
    208   tmp = a+a;
    209   VERIFY_EVALUATION_COUNT( call_ref_4(a+a,tmp), 1);           // evaluated into a temp
    210   VERIFY_EVALUATION_COUNT( call_ref_4(ca.imag(),ca.imag()), 0);
    211 
    212   VERIFY_EVALUATION_COUNT( call_ref_5(a,a), 0);
    213   VERIFY_EVALUATION_COUNT( call_ref_5(a.head(3),a.head(3)), 0);
    214   VERIFY_EVALUATION_COUNT( call_ref_5(A,A), 0);
    215 //   call_ref_5(A.transpose());   // does not compile
    216   VERIFY_EVALUATION_COUNT( call_ref_5(A.block(1,1,2,2),A.block(1,1,2,2)), 0);
    217   VERIFY_EVALUATION_COUNT( call_ref_5(b,b), 0);             // storage order do not match, but this is a degenerate case that should work
    218   VERIFY_EVALUATION_COUNT( call_ref_5(a.row(3),a.row(3)), 0);
    219 
    220   VERIFY_EVALUATION_COUNT( call_ref_6(a,a), 0);
    221   VERIFY_EVALUATION_COUNT( call_ref_6(a.head(3),a.head(3)), 0);
    222   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
    223   tmp = A+A;
    224   VERIFY_EVALUATION_COUNT( call_ref_6(A+A,tmp), 1);                // evaluated into a temp
    225   VERIFY_EVALUATION_COUNT( call_ref_6(A,A), 0);
    226   VERIFY_EVALUATION_COUNT( call_ref_6(A.transpose(),A.transpose()), 1);      // evaluated into a temp because the storage orders do not match
    227   VERIFY_EVALUATION_COUNT( call_ref_6(A.block(1,1,2,2),A.block(1,1,2,2)), 0);
    228 
    229   VERIFY_EVALUATION_COUNT( call_ref_7(c,c), 0);
    230 }
    231 
    232 void test_ref()
    233 {
    234   for(int i = 0; i < g_repeat; i++) {
    235     CALL_SUBTEST_1( ref_vector(Matrix<float, 1, 1>()) );
    236     CALL_SUBTEST_1( check_const_correctness(Matrix<float, 1, 1>()) );
    237     CALL_SUBTEST_2( ref_vector(Vector4d()) );
    238     CALL_SUBTEST_2( check_const_correctness(Matrix4d()) );
    239     CALL_SUBTEST_3( ref_vector(Vector4cf()) );
    240     CALL_SUBTEST_4( ref_vector(VectorXcf(8)) );
    241     CALL_SUBTEST_5( ref_vector(VectorXi(12)) );
    242     CALL_SUBTEST_5( check_const_correctness(VectorXi(12)) );
    243 
    244     CALL_SUBTEST_1( ref_matrix(Matrix<float, 1, 1>()) );
    245     CALL_SUBTEST_2( ref_matrix(Matrix4d()) );
    246     CALL_SUBTEST_1( ref_matrix(Matrix<float,3,5>()) );
    247     CALL_SUBTEST_4( ref_matrix(MatrixXcf(internal::random<int>(1,10),internal::random<int>(1,10))) );
    248     CALL_SUBTEST_4( ref_matrix(Matrix<std::complex<double>,10,15>()) );
    249     CALL_SUBTEST_5( ref_matrix(MatrixXi(internal::random<int>(1,10),internal::random<int>(1,10))) );
    250     CALL_SUBTEST_6( call_ref() );
    251   }
    252 }
    253