cart-elc

Source code for CART-ELC
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mapstride.cpp (11369B)


      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2010 Benoit Jacob <jacob.benoit.1@gmail.com>
      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 #include "main.h"
     11 
     12 template<int Alignment,typename VectorType> void map_class_vector(const VectorType& m)
     13 {
     14   typedef typename VectorType::Scalar Scalar;
     15 
     16   Index size = m.size();
     17 
     18   VectorType v = VectorType::Random(size);
     19 
     20   Index arraysize = 3*size;
     21   
     22   Scalar* a_array = internal::aligned_new<Scalar>(arraysize+1);
     23   Scalar* array = a_array;
     24   if(Alignment!=Aligned)
     25     array = (Scalar*)(internal::IntPtr(a_array) + (internal::packet_traits<Scalar>::AlignedOnScalar?sizeof(Scalar):sizeof(typename NumTraits<Scalar>::Real)));
     26 
     27   {
     28     Map<VectorType, Alignment, InnerStride<3> > map(array, size);
     29     map = v;
     30     for(int i = 0; i < size; ++i)
     31     {
     32       VERIFY(array[3*i] == v[i]);
     33       VERIFY(map[i] == v[i]);
     34     }
     35   }
     36 
     37   {
     38     Map<VectorType, Unaligned, InnerStride<Dynamic> > map(array, size, InnerStride<Dynamic>(2));
     39     map = v;
     40     for(int i = 0; i < size; ++i)
     41     {
     42       VERIFY(array[2*i] == v[i]);
     43       VERIFY(map[i] == v[i]);
     44     }
     45   }
     46 
     47   internal::aligned_delete(a_array, arraysize+1);
     48 }
     49 
     50 template<int Alignment,typename MatrixType> void map_class_matrix(const MatrixType& _m)
     51 {
     52   typedef typename MatrixType::Scalar Scalar;
     53 
     54   Index rows = _m.rows(), cols = _m.cols();
     55 
     56   MatrixType m = MatrixType::Random(rows,cols);
     57   Scalar s1 = internal::random<Scalar>();
     58 
     59   Index arraysize = 4*(rows+4)*(cols+4);
     60 
     61   Scalar* a_array1 = internal::aligned_new<Scalar>(arraysize+1);
     62   Scalar* array1 = a_array1;
     63   if(Alignment!=Aligned)
     64     array1 = (Scalar*)(internal::IntPtr(a_array1) + (internal::packet_traits<Scalar>::AlignedOnScalar?sizeof(Scalar):sizeof(typename NumTraits<Scalar>::Real)));
     65 
     66   Scalar a_array2[256];
     67   Scalar* array2 = a_array2;
     68   if(Alignment!=Aligned)
     69     array2 = (Scalar*)(internal::IntPtr(a_array2) + (internal::packet_traits<Scalar>::AlignedOnScalar?sizeof(Scalar):sizeof(typename NumTraits<Scalar>::Real)));
     70   else
     71     array2 = (Scalar*)(((internal::UIntPtr(a_array2)+EIGEN_MAX_ALIGN_BYTES-1)/EIGEN_MAX_ALIGN_BYTES)*EIGEN_MAX_ALIGN_BYTES);
     72   Index maxsize2 = a_array2 - array2 + 256;
     73   
     74   // test no inner stride and some dynamic outer stride
     75   for(int k=0; k<2; ++k)
     76   {
     77     if(k==1 && (m.innerSize()+1)*m.outerSize() > maxsize2)
     78       break;
     79     Scalar* array = (k==0 ? array1 : array2);
     80     
     81     Map<MatrixType, Alignment, OuterStride<Dynamic> > map(array, rows, cols, OuterStride<Dynamic>(m.innerSize()+1));
     82     map = m;
     83     VERIFY(map.outerStride() == map.innerSize()+1);
     84     for(int i = 0; i < m.outerSize(); ++i)
     85       for(int j = 0; j < m.innerSize(); ++j)
     86       {
     87         VERIFY(array[map.outerStride()*i+j] == m.coeffByOuterInner(i,j));
     88         VERIFY(map.coeffByOuterInner(i,j) == m.coeffByOuterInner(i,j));
     89       }
     90     VERIFY_IS_APPROX(s1*map,s1*m);
     91     map *= s1;
     92     VERIFY_IS_APPROX(map,s1*m);
     93   }
     94 
     95   // test no inner stride and an outer stride of +4. This is quite important as for fixed-size matrices,
     96   // this allows to hit the special case where it's vectorizable.
     97   for(int k=0; k<2; ++k)
     98   {
     99     if(k==1 && (m.innerSize()+4)*m.outerSize() > maxsize2)
    100       break;
    101     Scalar* array = (k==0 ? array1 : array2);
    102     
    103     enum {
    104       InnerSize = MatrixType::InnerSizeAtCompileTime,
    105       OuterStrideAtCompileTime = InnerSize==Dynamic ? Dynamic : InnerSize+4
    106     };
    107     Map<MatrixType, Alignment, OuterStride<OuterStrideAtCompileTime> >
    108       map(array, rows, cols, OuterStride<OuterStrideAtCompileTime>(m.innerSize()+4));
    109     map = m;
    110     VERIFY(map.outerStride() == map.innerSize()+4);
    111     for(int i = 0; i < m.outerSize(); ++i)
    112       for(int j = 0; j < m.innerSize(); ++j)
    113       {
    114         VERIFY(array[map.outerStride()*i+j] == m.coeffByOuterInner(i,j));
    115         VERIFY(map.coeffByOuterInner(i,j) == m.coeffByOuterInner(i,j));
    116       }
    117     VERIFY_IS_APPROX(s1*map,s1*m);
    118     map *= s1;
    119     VERIFY_IS_APPROX(map,s1*m);
    120   }
    121 
    122   // test both inner stride and outer stride
    123   for(int k=0; k<2; ++k)
    124   {
    125     if(k==1 && (2*m.innerSize()+1)*(m.outerSize()*2) > maxsize2)
    126       break;
    127     Scalar* array = (k==0 ? array1 : array2);
    128     
    129     Map<MatrixType, Alignment, Stride<Dynamic,Dynamic> > map(array, rows, cols, Stride<Dynamic,Dynamic>(2*m.innerSize()+1, 2));
    130     map = m;
    131     VERIFY(map.outerStride() == 2*map.innerSize()+1);
    132     VERIFY(map.innerStride() == 2);
    133     for(int i = 0; i < m.outerSize(); ++i)
    134       for(int j = 0; j < m.innerSize(); ++j)
    135       {
    136         VERIFY(array[map.outerStride()*i+map.innerStride()*j] == m.coeffByOuterInner(i,j));
    137         VERIFY(map.coeffByOuterInner(i,j) == m.coeffByOuterInner(i,j));
    138       }
    139     VERIFY_IS_APPROX(s1*map,s1*m);
    140     map *= s1;
    141     VERIFY_IS_APPROX(map,s1*m);
    142   }
    143 
    144   // test inner stride and no outer stride
    145   for(int k=0; k<2; ++k)
    146   {
    147     if(k==1 && (m.innerSize()*2)*m.outerSize() > maxsize2)
    148       break;
    149     Scalar* array = (k==0 ? array1 : array2);
    150 
    151     Map<MatrixType, Alignment, InnerStride<Dynamic> > map(array, rows, cols, InnerStride<Dynamic>(2));
    152     map = m;
    153     VERIFY(map.outerStride() == map.innerSize()*2);
    154     for(int i = 0; i < m.outerSize(); ++i)
    155       for(int j = 0; j < m.innerSize(); ++j)
    156       {
    157         VERIFY(array[map.innerSize()*i*2+j*2] == m.coeffByOuterInner(i,j));
    158         VERIFY(map.coeffByOuterInner(i,j) == m.coeffByOuterInner(i,j));
    159       }
    160     VERIFY_IS_APPROX(s1*map,s1*m);
    161     map *= s1;
    162     VERIFY_IS_APPROX(map,s1*m);
    163   }
    164 
    165   // test negative strides
    166   {
    167     Matrix<Scalar,Dynamic,1>::Map(a_array1, arraysize+1).setRandom();
    168     Index outerstride = m.innerSize()+4;
    169     Scalar* array = array1;
    170 
    171     {
    172       Map<MatrixType, Alignment, OuterStride<> > map1(array, rows, cols, OuterStride<>( outerstride));
    173       Map<MatrixType, Unaligned, OuterStride<> > map2(array+(m.outerSize()-1)*outerstride, rows, cols, OuterStride<>(-outerstride));
    174       if(MatrixType::IsRowMajor)  VERIFY_IS_APPROX(map1.colwise().reverse(), map2);
    175       else                        VERIFY_IS_APPROX(map1.rowwise().reverse(), map2);
    176     }
    177 
    178     {
    179       Map<MatrixType, Alignment, OuterStride<> > map1(array, rows, cols, OuterStride<>( outerstride));
    180       Map<MatrixType, Unaligned, Stride<Dynamic,Dynamic> > map2(array+(m.outerSize()-1)*outerstride+m.innerSize()-1, rows, cols, Stride<Dynamic,Dynamic>(-outerstride,-1));
    181       VERIFY_IS_APPROX(map1.reverse(), map2);
    182     }
    183 
    184     {
    185       Map<MatrixType, Alignment, OuterStride<> > map1(array, rows, cols, OuterStride<>( outerstride));
    186       Map<MatrixType, Unaligned, Stride<Dynamic,-1> > map2(array+(m.outerSize()-1)*outerstride+m.innerSize()-1, rows, cols, Stride<Dynamic,-1>(-outerstride,-1));
    187       VERIFY_IS_APPROX(map1.reverse(), map2);
    188     }
    189   }
    190 
    191   internal::aligned_delete(a_array1, arraysize+1);
    192 }
    193 
    194 // Additional tests for inner-stride but no outer-stride
    195 template<int>
    196 void bug1453()
    197 {
    198   const int data[] = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31};
    199   typedef Matrix<int,Dynamic,Dynamic,RowMajor> RowMatrixXi;
    200   typedef Matrix<int,2,3,ColMajor> ColMatrix23i;
    201   typedef Matrix<int,3,2,ColMajor> ColMatrix32i;
    202   typedef Matrix<int,2,3,RowMajor> RowMatrix23i;
    203   typedef Matrix<int,3,2,RowMajor> RowMatrix32i;
    204 
    205   VERIFY_IS_APPROX(MatrixXi::Map(data, 2, 3, InnerStride<2>()), MatrixXi::Map(data, 2, 3, Stride<4,2>()));
    206   VERIFY_IS_APPROX(MatrixXi::Map(data, 2, 3, InnerStride<>(2)), MatrixXi::Map(data, 2, 3, Stride<4,2>()));
    207   VERIFY_IS_APPROX(MatrixXi::Map(data, 3, 2, InnerStride<2>()), MatrixXi::Map(data, 3, 2, Stride<6,2>()));
    208   VERIFY_IS_APPROX(MatrixXi::Map(data, 3, 2, InnerStride<>(2)), MatrixXi::Map(data, 3, 2, Stride<6,2>()));
    209 
    210   VERIFY_IS_APPROX(RowMatrixXi::Map(data, 2, 3, InnerStride<2>()), RowMatrixXi::Map(data, 2, 3, Stride<6,2>()));
    211   VERIFY_IS_APPROX(RowMatrixXi::Map(data, 2, 3, InnerStride<>(2)), RowMatrixXi::Map(data, 2, 3, Stride<6,2>()));
    212   VERIFY_IS_APPROX(RowMatrixXi::Map(data, 3, 2, InnerStride<2>()), RowMatrixXi::Map(data, 3, 2, Stride<4,2>()));
    213   VERIFY_IS_APPROX(RowMatrixXi::Map(data, 3, 2, InnerStride<>(2)), RowMatrixXi::Map(data, 3, 2, Stride<4,2>()));
    214 
    215   VERIFY_IS_APPROX(ColMatrix23i::Map(data, InnerStride<2>()), MatrixXi::Map(data, 2, 3, Stride<4,2>()));
    216   VERIFY_IS_APPROX(ColMatrix23i::Map(data, InnerStride<>(2)), MatrixXi::Map(data, 2, 3, Stride<4,2>()));
    217   VERIFY_IS_APPROX(ColMatrix32i::Map(data, InnerStride<2>()), MatrixXi::Map(data, 3, 2, Stride<6,2>()));
    218   VERIFY_IS_APPROX(ColMatrix32i::Map(data, InnerStride<>(2)), MatrixXi::Map(data, 3, 2, Stride<6,2>()));
    219 
    220   VERIFY_IS_APPROX(RowMatrix23i::Map(data, InnerStride<2>()), RowMatrixXi::Map(data, 2, 3, Stride<6,2>()));
    221   VERIFY_IS_APPROX(RowMatrix23i::Map(data, InnerStride<>(2)), RowMatrixXi::Map(data, 2, 3, Stride<6,2>()));
    222   VERIFY_IS_APPROX(RowMatrix32i::Map(data, InnerStride<2>()), RowMatrixXi::Map(data, 3, 2, Stride<4,2>()));
    223   VERIFY_IS_APPROX(RowMatrix32i::Map(data, InnerStride<>(2)), RowMatrixXi::Map(data, 3, 2, Stride<4,2>()));
    224 }
    225 
    226 EIGEN_DECLARE_TEST(mapstride)
    227 {
    228   for(int i = 0; i < g_repeat; i++) {
    229     int maxn = 3;
    230     CALL_SUBTEST_1( map_class_vector<Aligned>(Matrix<float, 1, 1>()) );
    231     CALL_SUBTEST_1( map_class_vector<Unaligned>(Matrix<float, 1, 1>()) );
    232     CALL_SUBTEST_2( map_class_vector<Aligned>(Vector4d()) );
    233     CALL_SUBTEST_2( map_class_vector<Unaligned>(Vector4d()) );
    234     CALL_SUBTEST_3( map_class_vector<Aligned>(RowVector4f()) );
    235     CALL_SUBTEST_3( map_class_vector<Unaligned>(RowVector4f()) );
    236     CALL_SUBTEST_4( map_class_vector<Aligned>(VectorXcf(internal::random<int>(1,maxn))) );
    237     CALL_SUBTEST_4( map_class_vector<Unaligned>(VectorXcf(internal::random<int>(1,maxn))) );
    238     CALL_SUBTEST_5( map_class_vector<Aligned>(VectorXi(internal::random<int>(1,maxn))) );
    239     CALL_SUBTEST_5( map_class_vector<Unaligned>(VectorXi(internal::random<int>(1,maxn))) );
    240 
    241     CALL_SUBTEST_1( map_class_matrix<Aligned>(Matrix<float, 1, 1>()) );
    242     CALL_SUBTEST_1( map_class_matrix<Unaligned>(Matrix<float, 1, 1>()) );
    243     CALL_SUBTEST_2( map_class_matrix<Aligned>(Matrix4d()) );
    244     CALL_SUBTEST_2( map_class_matrix<Unaligned>(Matrix4d()) );
    245     CALL_SUBTEST_3( map_class_matrix<Aligned>(Matrix<float,3,5>()) );
    246     CALL_SUBTEST_3( map_class_matrix<Unaligned>(Matrix<float,3,5>()) );
    247     CALL_SUBTEST_3( map_class_matrix<Aligned>(Matrix<float,4,8>()) );
    248     CALL_SUBTEST_3( map_class_matrix<Unaligned>(Matrix<float,4,8>()) );
    249     CALL_SUBTEST_4( map_class_matrix<Aligned>(MatrixXcf(internal::random<int>(1,maxn),internal::random<int>(1,maxn))) );
    250     CALL_SUBTEST_4( map_class_matrix<Unaligned>(MatrixXcf(internal::random<int>(1,maxn),internal::random<int>(1,maxn))) );
    251     CALL_SUBTEST_5( map_class_matrix<Aligned>(MatrixXi(internal::random<int>(1,maxn),internal::random<int>(1,maxn))) );
    252     CALL_SUBTEST_5( map_class_matrix<Unaligned>(MatrixXi(internal::random<int>(1,maxn),internal::random<int>(1,maxn))) );
    253     CALL_SUBTEST_6( map_class_matrix<Aligned>(MatrixXcd(internal::random<int>(1,maxn),internal::random<int>(1,maxn))) );
    254     CALL_SUBTEST_6( map_class_matrix<Unaligned>(MatrixXcd(internal::random<int>(1,maxn),internal::random<int>(1,maxn))) );
    255 
    256     CALL_SUBTEST_5( bug1453<0>() );
    257     
    258     TEST_SET_BUT_UNUSED_VARIABLE(maxn);
    259   }
    260 }