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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 #define TEST_ENABLE_TEMPORARY_TRACKING
     16 
     17 #include "main.h"
     18 
     19 // test Ref.h
     20 
     21 // Deal with i387 extended precision
     22 #if EIGEN_ARCH_i386 && !(EIGEN_ARCH_x86_64)
     23 
     24 #if EIGEN_COMP_GNUC_STRICT && EIGEN_GNUC_AT_LEAST(4,4)
     25 #pragma GCC optimize ("-ffloat-store")
     26 #else
     27 #undef VERIFY_IS_EQUAL
     28 #define VERIFY_IS_EQUAL(X,Y) VERIFY_IS_APPROX(X,Y)
     29 #endif
     30 
     31 #endif
     32 
     33 template<typename MatrixType> void ref_matrix(const MatrixType& m)
     34 {
     35   typedef typename MatrixType::Index Index;
     36   typedef typename MatrixType::Scalar Scalar;
     37   typedef typename MatrixType::RealScalar RealScalar;
     38   typedef Matrix<Scalar,Dynamic,Dynamic,MatrixType::Options> DynMatrixType;
     39   typedef Matrix<RealScalar,Dynamic,Dynamic,MatrixType::Options> RealDynMatrixType;
     40 
     41   typedef Ref<MatrixType> RefMat;
     42   typedef Ref<DynMatrixType> RefDynMat;
     43   typedef Ref<const DynMatrixType> ConstRefDynMat;
     44   typedef Ref<RealDynMatrixType , 0, Stride<Dynamic,Dynamic> > RefRealMatWithStride;
     45 
     46   Index rows = m.rows(), cols = m.cols();
     47 
     48   MatrixType  m1 = MatrixType::Random(rows, cols),
     49               m2 = m1;
     50 
     51   Index i = internal::random<Index>(0,rows-1);
     52   Index j = internal::random<Index>(0,cols-1);
     53   Index brows = internal::random<Index>(1,rows-i);
     54   Index bcols = internal::random<Index>(1,cols-j);
     55 
     56   RefMat rm0 = m1;
     57   VERIFY_IS_EQUAL(rm0, m1);
     58   RefDynMat rm1 = m1;
     59   VERIFY_IS_EQUAL(rm1, m1);
     60   RefDynMat rm2 = m1.block(i,j,brows,bcols);
     61   VERIFY_IS_EQUAL(rm2, m1.block(i,j,brows,bcols));
     62   rm2.setOnes();
     63   m2.block(i,j,brows,bcols).setOnes();
     64   VERIFY_IS_EQUAL(m1, m2);
     65 
     66   m2.block(i,j,brows,bcols).setRandom();
     67   rm2 = m2.block(i,j,brows,bcols);
     68   VERIFY_IS_EQUAL(m1, m2);
     69 
     70   ConstRefDynMat rm3 = m1.block(i,j,brows,bcols);
     71   m1.block(i,j,brows,bcols) *= 2;
     72   m2.block(i,j,brows,bcols) *= 2;
     73   VERIFY_IS_EQUAL(rm3, m2.block(i,j,brows,bcols));
     74   RefRealMatWithStride rm4 = m1.real();
     75   VERIFY_IS_EQUAL(rm4, m2.real());
     76   rm4.array() += 1;
     77   m2.real().array() += 1;
     78   VERIFY_IS_EQUAL(m1, m2);
     79 }
     80 
     81 template<typename VectorType> void ref_vector(const VectorType& m)
     82 {
     83   typedef typename VectorType::Index Index;
     84   typedef typename VectorType::Scalar Scalar;
     85   typedef typename VectorType::RealScalar RealScalar;
     86   typedef Matrix<Scalar,Dynamic,1,VectorType::Options> DynMatrixType;
     87   typedef Matrix<Scalar,Dynamic,Dynamic,ColMajor> MatrixType;
     88   typedef Matrix<RealScalar,Dynamic,1,VectorType::Options> RealDynMatrixType;
     89 
     90   typedef Ref<VectorType> RefMat;
     91   typedef Ref<DynMatrixType> RefDynMat;
     92   typedef Ref<const DynMatrixType> ConstRefDynMat;
     93   typedef Ref<RealDynMatrixType , 0, InnerStride<> > RefRealMatWithStride;
     94   typedef Ref<DynMatrixType , 0, InnerStride<> > RefMatWithStride;
     95 
     96   Index size = m.size();
     97 
     98   VectorType  v1 = VectorType::Random(size),
     99               v2 = v1;
    100   MatrixType mat1 = MatrixType::Random(size,size),
    101              mat2 = mat1,
    102              mat3 = MatrixType::Random(size,size);
    103 
    104   Index i = internal::random<Index>(0,size-1);
    105   Index bsize = internal::random<Index>(1,size-i);
    106 
    107   RefMat rm0 = v1;
    108   VERIFY_IS_EQUAL(rm0, v1);
    109   RefDynMat rv1 = v1;
    110   VERIFY_IS_EQUAL(rv1, v1);
    111   RefDynMat rv2 = v1.segment(i,bsize);
    112   VERIFY_IS_EQUAL(rv2, v1.segment(i,bsize));
    113   rv2.setOnes();
    114   v2.segment(i,bsize).setOnes();
    115   VERIFY_IS_EQUAL(v1, v2);
    116 
    117   v2.segment(i,bsize).setRandom();
    118   rv2 = v2.segment(i,bsize);
    119   VERIFY_IS_EQUAL(v1, v2);
    120 
    121   ConstRefDynMat rm3 = v1.segment(i,bsize);
    122   v1.segment(i,bsize) *= 2;
    123   v2.segment(i,bsize) *= 2;
    124   VERIFY_IS_EQUAL(rm3, v2.segment(i,bsize));
    125 
    126   RefRealMatWithStride rm4 = v1.real();
    127   VERIFY_IS_EQUAL(rm4, v2.real());
    128   rm4.array() += 1;
    129   v2.real().array() += 1;
    130   VERIFY_IS_EQUAL(v1, v2);
    131 
    132   RefMatWithStride rm5 = mat1.row(i).transpose();
    133   VERIFY_IS_EQUAL(rm5, mat1.row(i).transpose());
    134   rm5.array() += 1;
    135   mat2.row(i).array() += 1;
    136   VERIFY_IS_EQUAL(mat1, mat2);
    137   rm5.noalias() = rm4.transpose() * mat3;
    138   mat2.row(i) = v2.real().transpose() * mat3;
    139   VERIFY_IS_APPROX(mat1, mat2);
    140 }
    141 
    142 template<typename PlainObjectType> void check_const_correctness(const PlainObjectType&)
    143 {
    144   // verify that ref-to-const don't have LvalueBit
    145   typedef typename internal::add_const<PlainObjectType>::type ConstPlainObjectType;
    146   VERIFY( !(internal::traits<Ref<ConstPlainObjectType> >::Flags & LvalueBit) );
    147   VERIFY( !(internal::traits<Ref<ConstPlainObjectType, Aligned> >::Flags & LvalueBit) );
    148   VERIFY( !(Ref<ConstPlainObjectType>::Flags & LvalueBit) );
    149   VERIFY( !(Ref<ConstPlainObjectType, Aligned>::Flags & LvalueBit) );
    150 }
    151 
    152 template<typename B>
    153 EIGEN_DONT_INLINE void call_ref_1(Ref<VectorXf> a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    154 template<typename B>
    155 EIGEN_DONT_INLINE void call_ref_2(const Ref<const VectorXf>& a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    156 template<typename B>
    157 EIGEN_DONT_INLINE void call_ref_3(Ref<VectorXf,0,InnerStride<> > a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    158 template<typename B>
    159 EIGEN_DONT_INLINE void call_ref_4(const Ref<const VectorXf,0,InnerStride<> >& a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    160 template<typename B>
    161 EIGEN_DONT_INLINE void call_ref_5(Ref<MatrixXf,0,OuterStride<> > a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    162 template<typename B>
    163 EIGEN_DONT_INLINE void call_ref_6(const Ref<const MatrixXf,0,OuterStride<> >& a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    164 template<typename B>
    165 EIGEN_DONT_INLINE void call_ref_7(Ref<Matrix<float,Dynamic,3> > a, const B &b) { VERIFY_IS_EQUAL(a,b); }
    166 
    167 void call_ref()
    168 {
    169   VectorXcf ca  = VectorXcf::Random(10);
    170   VectorXf a    = VectorXf::Random(10);
    171   RowVectorXf b = RowVectorXf::Random(10);
    172   MatrixXf A    = MatrixXf::Random(10,10);
    173   RowVector3f c = RowVector3f::Random();
    174   const VectorXf& ac(a);
    175   VectorBlock<VectorXf> ab(a,0,3);
    176   const VectorBlock<VectorXf> abc(a,0,3);
    177 
    178 
    179   VERIFY_EVALUATION_COUNT( call_ref_1(a,a), 0);
    180   VERIFY_EVALUATION_COUNT( call_ref_1(b,b.transpose()), 0);
    181 //   call_ref_1(ac,a<c);           // does not compile because ac is const
    182   VERIFY_EVALUATION_COUNT( call_ref_1(ab,ab), 0);
    183   VERIFY_EVALUATION_COUNT( call_ref_1(a.head(4),a.head(4)), 0);
    184   VERIFY_EVALUATION_COUNT( call_ref_1(abc,abc), 0);
    185   VERIFY_EVALUATION_COUNT( call_ref_1(A.col(3),A.col(3)), 0);
    186 //   call_ref_1(A.row(3),A.row(3));    // does not compile because innerstride!=1
    187   VERIFY_EVALUATION_COUNT( call_ref_3(A.row(3),A.row(3).transpose()), 0);
    188   VERIFY_EVALUATION_COUNT( call_ref_4(A.row(3),A.row(3).transpose()), 0);
    189 //   call_ref_1(a+a, a+a);          // does not compile for obvious reason
    190 
    191   MatrixXf tmp = A*A.col(1);
    192   VERIFY_EVALUATION_COUNT( call_ref_2(A*A.col(1), tmp), 1);     // evaluated into a temp
    193   VERIFY_EVALUATION_COUNT( call_ref_2(ac.head(5),ac.head(5)), 0);
    194   VERIFY_EVALUATION_COUNT( call_ref_2(ac,ac), 0);
    195   VERIFY_EVALUATION_COUNT( call_ref_2(a,a), 0);
    196   VERIFY_EVALUATION_COUNT( call_ref_2(ab,ab), 0);
    197   VERIFY_EVALUATION_COUNT( call_ref_2(a.head(4),a.head(4)), 0);
    198   tmp = a+a;
    199   VERIFY_EVALUATION_COUNT( call_ref_2(a+a,tmp), 1);            // evaluated into a temp
    200   VERIFY_EVALUATION_COUNT( call_ref_2(ca.imag(),ca.imag()), 1);      // evaluated into a temp
    201 
    202   VERIFY_EVALUATION_COUNT( call_ref_4(ac.head(5),ac.head(5)), 0);
    203   tmp = a+a;
    204   VERIFY_EVALUATION_COUNT( call_ref_4(a+a,tmp), 1);           // evaluated into a temp
    205   VERIFY_EVALUATION_COUNT( call_ref_4(ca.imag(),ca.imag()), 0);
    206 
    207   VERIFY_EVALUATION_COUNT( call_ref_5(a,a), 0);
    208   VERIFY_EVALUATION_COUNT( call_ref_5(a.head(3),a.head(3)), 0);
    209   VERIFY_EVALUATION_COUNT( call_ref_5(A,A), 0);
    210 //   call_ref_5(A.transpose(),A.transpose());   // does not compile because storage order does not match
    211   VERIFY_EVALUATION_COUNT( call_ref_5(A.block(1,1,2,2),A.block(1,1,2,2)), 0);
    212   VERIFY_EVALUATION_COUNT( call_ref_5(b,b), 0);             // storage order do not match, but this is a degenerate case that should work
    213   VERIFY_EVALUATION_COUNT( call_ref_5(a.row(3),a.row(3)), 0);
    214 
    215   VERIFY_EVALUATION_COUNT( call_ref_6(a,a), 0);
    216   VERIFY_EVALUATION_COUNT( call_ref_6(a.head(3),a.head(3)), 0);
    217   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
    218   tmp = A+A;
    219   VERIFY_EVALUATION_COUNT( call_ref_6(A+A,tmp), 1);                // evaluated into a temp
    220   VERIFY_EVALUATION_COUNT( call_ref_6(A,A), 0);
    221   VERIFY_EVALUATION_COUNT( call_ref_6(A.transpose(),A.transpose()), 1);      // evaluated into a temp because the storage orders do not match
    222   VERIFY_EVALUATION_COUNT( call_ref_6(A.block(1,1,2,2),A.block(1,1,2,2)), 0);
    223 
    224   VERIFY_EVALUATION_COUNT( call_ref_7(c,c), 0);
    225 }
    226 
    227 typedef Matrix<double,Dynamic,Dynamic,RowMajor> RowMatrixXd;
    228 int test_ref_overload_fun1(Ref<MatrixXd> )       { return 1; }
    229 int test_ref_overload_fun1(Ref<RowMatrixXd> )    { return 2; }
    230 int test_ref_overload_fun1(Ref<MatrixXf> )       { return 3; }
    231 
    232 int test_ref_overload_fun2(Ref<const MatrixXd> ) { return 4; }
    233 int test_ref_overload_fun2(Ref<const MatrixXf> ) { return 5; }
    234 
    235 void test_ref_ambiguous(const Ref<const ArrayXd> &A, Ref<ArrayXd> B)
    236 {
    237   B = A;
    238   B = A - A;
    239 }
    240 
    241 // See also bug 969
    242 void test_ref_overloads()
    243 {
    244   MatrixXd Ad, Bd;
    245   RowMatrixXd rAd, rBd;
    246   VERIFY( test_ref_overload_fun1(Ad)==1 );
    247   VERIFY( test_ref_overload_fun1(rAd)==2 );
    248 
    249   MatrixXf Af, Bf;
    250   VERIFY( test_ref_overload_fun2(Ad)==4 );
    251   VERIFY( test_ref_overload_fun2(Ad+Bd)==4 );
    252   VERIFY( test_ref_overload_fun2(Af+Bf)==5 );
    253 
    254   ArrayXd A, B;
    255   test_ref_ambiguous(A, B);
    256 }
    257 
    258 void test_ref()
    259 {
    260   for(int i = 0; i < g_repeat; i++) {
    261     CALL_SUBTEST_1( ref_vector(Matrix<float, 1, 1>()) );
    262     CALL_SUBTEST_1( check_const_correctness(Matrix<float, 1, 1>()) );
    263     CALL_SUBTEST_2( ref_vector(Vector4d()) );
    264     CALL_SUBTEST_2( check_const_correctness(Matrix4d()) );
    265     CALL_SUBTEST_3( ref_vector(Vector4cf()) );
    266     CALL_SUBTEST_4( ref_vector(VectorXcf(8)) );
    267     CALL_SUBTEST_5( ref_vector(VectorXi(12)) );
    268     CALL_SUBTEST_5( check_const_correctness(VectorXi(12)) );
    269 
    270     CALL_SUBTEST_1( ref_matrix(Matrix<float, 1, 1>()) );
    271     CALL_SUBTEST_2( ref_matrix(Matrix4d()) );
    272     CALL_SUBTEST_1( ref_matrix(Matrix<float,3,5>()) );
    273     CALL_SUBTEST_4( ref_matrix(MatrixXcf(internal::random<int>(1,10),internal::random<int>(1,10))) );
    274     CALL_SUBTEST_4( ref_matrix(Matrix<std::complex<double>,10,15>()) );
    275     CALL_SUBTEST_5( ref_matrix(MatrixXi(internal::random<int>(1,10),internal::random<int>(1,10))) );
    276     CALL_SUBTEST_6( call_ref() );
    277   }
    278 
    279   CALL_SUBTEST_7( test_ref_overloads() );
    280 }
    281