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      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2014 Benoit Steiner <benoit.steiner.goog (at) 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 #include <Eigen/CXX11/Tensor>
     13 
     14 using Eigen::Tensor;
     15 using Eigen::RowMajor;
     16 
     17 static void test_1d()
     18 {
     19   Tensor<int, 1> vec1(6);
     20   Tensor<int, 1, RowMajor> vec2(6);
     21   vec1(0) = 4;  vec2(0) = 0;
     22   vec1(1) = 8;  vec2(1) = 1;
     23   vec1(2) = 15; vec2(2) = 2;
     24   vec1(3) = 16; vec2(3) = 3;
     25   vec1(4) = 23; vec2(4) = 4;
     26   vec1(5) = 42; vec2(5) = 5;
     27 
     28   int col_major[6];
     29   int row_major[6];
     30   memset(col_major, 0, 6*sizeof(int));
     31   memset(row_major, 0, 6*sizeof(int));
     32   TensorMap<Tensor<int, 1> > vec3(col_major, 6);
     33   TensorMap<Tensor<int, 1, RowMajor> > vec4(row_major, 6);
     34 
     35   vec3 = vec1;
     36   vec4 = vec2;
     37 
     38   VERIFY_IS_EQUAL(vec3(0), 4);
     39   VERIFY_IS_EQUAL(vec3(1), 8);
     40   VERIFY_IS_EQUAL(vec3(2), 15);
     41   VERIFY_IS_EQUAL(vec3(3), 16);
     42   VERIFY_IS_EQUAL(vec3(4), 23);
     43   VERIFY_IS_EQUAL(vec3(5), 42);
     44 
     45   VERIFY_IS_EQUAL(vec4(0), 0);
     46   VERIFY_IS_EQUAL(vec4(1), 1);
     47   VERIFY_IS_EQUAL(vec4(2), 2);
     48   VERIFY_IS_EQUAL(vec4(3), 3);
     49   VERIFY_IS_EQUAL(vec4(4), 4);
     50   VERIFY_IS_EQUAL(vec4(5), 5);
     51 
     52   vec1.setZero();
     53   vec2.setZero();
     54   vec1 = vec3;
     55   vec2 = vec4;
     56 
     57   VERIFY_IS_EQUAL(vec1(0), 4);
     58   VERIFY_IS_EQUAL(vec1(1), 8);
     59   VERIFY_IS_EQUAL(vec1(2), 15);
     60   VERIFY_IS_EQUAL(vec1(3), 16);
     61   VERIFY_IS_EQUAL(vec1(4), 23);
     62   VERIFY_IS_EQUAL(vec1(5), 42);
     63 
     64   VERIFY_IS_EQUAL(vec2(0), 0);
     65   VERIFY_IS_EQUAL(vec2(1), 1);
     66   VERIFY_IS_EQUAL(vec2(2), 2);
     67   VERIFY_IS_EQUAL(vec2(3), 3);
     68   VERIFY_IS_EQUAL(vec2(4), 4);
     69   VERIFY_IS_EQUAL(vec2(5), 5);
     70 }
     71 
     72 static void test_2d()
     73 {
     74   Tensor<int, 2> mat1(2,3);
     75   Tensor<int, 2, RowMajor> mat2(2,3);
     76 
     77   mat1(0,0) = 0;
     78   mat1(0,1) = 1;
     79   mat1(0,2) = 2;
     80   mat1(1,0) = 3;
     81   mat1(1,1) = 4;
     82   mat1(1,2) = 5;
     83 
     84   mat2(0,0) = 0;
     85   mat2(0,1) = 1;
     86   mat2(0,2) = 2;
     87   mat2(1,0) = 3;
     88   mat2(1,1) = 4;
     89   mat2(1,2) = 5;
     90 
     91   int col_major[6];
     92   int row_major[6];
     93   memset(col_major, 0, 6*sizeof(int));
     94   memset(row_major, 0, 6*sizeof(int));
     95   TensorMap<Tensor<int, 2> > mat3(row_major, 2, 3);
     96   TensorMap<Tensor<int, 2, RowMajor> > mat4(col_major, 2, 3);
     97 
     98   mat3 = mat1;
     99   mat4 = mat2;
    100 
    101   VERIFY_IS_EQUAL(mat3(0,0), 0);
    102   VERIFY_IS_EQUAL(mat3(0,1), 1);
    103   VERIFY_IS_EQUAL(mat3(0,2), 2);
    104   VERIFY_IS_EQUAL(mat3(1,0), 3);
    105   VERIFY_IS_EQUAL(mat3(1,1), 4);
    106   VERIFY_IS_EQUAL(mat3(1,2), 5);
    107 
    108   VERIFY_IS_EQUAL(mat4(0,0), 0);
    109   VERIFY_IS_EQUAL(mat4(0,1), 1);
    110   VERIFY_IS_EQUAL(mat4(0,2), 2);
    111   VERIFY_IS_EQUAL(mat4(1,0), 3);
    112   VERIFY_IS_EQUAL(mat4(1,1), 4);
    113   VERIFY_IS_EQUAL(mat4(1,2), 5);
    114 
    115   mat1.setZero();
    116   mat2.setZero();
    117   mat1 = mat3;
    118   mat2 = mat4;
    119 
    120   VERIFY_IS_EQUAL(mat1(0,0), 0);
    121   VERIFY_IS_EQUAL(mat1(0,1), 1);
    122   VERIFY_IS_EQUAL(mat1(0,2), 2);
    123   VERIFY_IS_EQUAL(mat1(1,0), 3);
    124   VERIFY_IS_EQUAL(mat1(1,1), 4);
    125   VERIFY_IS_EQUAL(mat1(1,2), 5);
    126 
    127   VERIFY_IS_EQUAL(mat2(0,0), 0);
    128   VERIFY_IS_EQUAL(mat2(0,1), 1);
    129   VERIFY_IS_EQUAL(mat2(0,2), 2);
    130   VERIFY_IS_EQUAL(mat2(1,0), 3);
    131   VERIFY_IS_EQUAL(mat2(1,1), 4);
    132   VERIFY_IS_EQUAL(mat2(1,2), 5);
    133 }
    134 
    135 static void test_3d()
    136 {
    137   Tensor<int, 3> mat1(2,3,7);
    138   Tensor<int, 3, RowMajor> mat2(2,3,7);
    139 
    140   int val = 0;
    141   for (int i = 0; i < 2; ++i) {
    142     for (int j = 0; j < 3; ++j) {
    143       for (int k = 0; k < 7; ++k) {
    144         mat1(i,j,k) = val;
    145         mat2(i,j,k) = val;
    146         val++;
    147       }
    148     }
    149   }
    150 
    151   int col_major[2*3*7];
    152   int row_major[2*3*7];
    153   memset(col_major, 0, 2*3*7*sizeof(int));
    154   memset(row_major, 0, 2*3*7*sizeof(int));
    155   TensorMap<Tensor<int, 3> > mat3(col_major, 2, 3, 7);
    156   TensorMap<Tensor<int, 3, RowMajor> > mat4(row_major, 2, 3, 7);
    157 
    158   mat3 = mat1;
    159   mat4 = mat2;
    160 
    161   val = 0;
    162   for (int i = 0; i < 2; ++i) {
    163     for (int j = 0; j < 3; ++j) {
    164       for (int k = 0; k < 7; ++k) {
    165         VERIFY_IS_EQUAL(mat3(i,j,k), val);
    166         VERIFY_IS_EQUAL(mat4(i,j,k), val);
    167         val++;
    168       }
    169     }
    170   }
    171 
    172   mat1.setZero();
    173   mat2.setZero();
    174   mat1 = mat3;
    175   mat2 = mat4;
    176 
    177   val = 0;
    178   for (int i = 0; i < 2; ++i) {
    179     for (int j = 0; j < 3; ++j) {
    180       for (int k = 0; k < 7; ++k) {
    181         VERIFY_IS_EQUAL(mat1(i,j,k), val);
    182         VERIFY_IS_EQUAL(mat2(i,j,k), val);
    183         val++;
    184       }
    185     }
    186   }
    187 }
    188 
    189 static void test_same_type()
    190 {
    191   Tensor<int, 1> orig_tensor(5);
    192   Tensor<int, 1> dest_tensor(5);
    193   orig_tensor.setRandom();
    194   dest_tensor.setRandom();
    195   int* orig_data = orig_tensor.data();
    196   int* dest_data = dest_tensor.data();
    197   dest_tensor = orig_tensor;
    198   VERIFY_IS_EQUAL(orig_tensor.data(), orig_data);
    199   VERIFY_IS_EQUAL(dest_tensor.data(), dest_data);
    200   for (int i = 0; i < 5; ++i) {
    201     VERIFY_IS_EQUAL(dest_tensor(i), orig_tensor(i));
    202   }
    203 
    204   TensorFixedSize<int, Sizes<5> > orig_array;
    205   TensorFixedSize<int, Sizes<5> > dest_array;
    206   orig_array.setRandom();
    207   dest_array.setRandom();
    208   orig_data = orig_array.data();
    209   dest_data = dest_array.data();
    210   dest_array = orig_array;
    211   VERIFY_IS_EQUAL(orig_array.data(), orig_data);
    212   VERIFY_IS_EQUAL(dest_array.data(), dest_data);
    213   for (int i = 0; i < 5; ++i) {
    214     VERIFY_IS_EQUAL(dest_array(i), orig_array(i));
    215   }
    216 
    217   int orig[5] = {1, 2, 3, 4, 5};
    218   int dest[5] = {6, 7, 8, 9, 10};
    219   TensorMap<Tensor<int, 1> > orig_map(orig, 5);
    220   TensorMap<Tensor<int, 1> > dest_map(dest, 5);
    221   orig_data = orig_map.data();
    222   dest_data = dest_map.data();
    223   dest_map = orig_map;
    224   VERIFY_IS_EQUAL(orig_map.data(), orig_data);
    225   VERIFY_IS_EQUAL(dest_map.data(), dest_data);
    226   for (int i = 0; i < 5; ++i) {
    227     VERIFY_IS_EQUAL(dest[i], i+1);
    228   }
    229 }
    230 
    231 static void test_auto_resize()
    232 {
    233   Tensor<int, 1> tensor1;
    234   Tensor<int, 1> tensor2(3);
    235   Tensor<int, 1> tensor3(5);
    236   Tensor<int, 1> tensor4(7);
    237 
    238   Tensor<int, 1> new_tensor(5);
    239   new_tensor.setRandom();
    240 
    241   tensor1 = tensor2 = tensor3 = tensor4 = new_tensor;
    242 
    243   VERIFY_IS_EQUAL(tensor1.dimension(0), new_tensor.dimension(0));
    244   VERIFY_IS_EQUAL(tensor2.dimension(0), new_tensor.dimension(0));
    245   VERIFY_IS_EQUAL(tensor3.dimension(0), new_tensor.dimension(0));
    246   VERIFY_IS_EQUAL(tensor4.dimension(0), new_tensor.dimension(0));
    247   for (int i = 0; i < new_tensor.dimension(0); ++i) {
    248     VERIFY_IS_EQUAL(tensor1(i), new_tensor(i));
    249     VERIFY_IS_EQUAL(tensor2(i), new_tensor(i));
    250     VERIFY_IS_EQUAL(tensor3(i), new_tensor(i));
    251     VERIFY_IS_EQUAL(tensor4(i), new_tensor(i));
    252   }
    253 }
    254 
    255 
    256 static void test_compound_assign()
    257 {
    258   Tensor<int, 1> start_tensor(10);
    259   Tensor<int, 1> offset_tensor(10);
    260   start_tensor.setRandom();
    261   offset_tensor.setRandom();
    262 
    263   Tensor<int, 1> tensor = start_tensor;
    264   tensor += offset_tensor;
    265   for (int i = 0; i < 10; ++i) {
    266     VERIFY_IS_EQUAL(tensor(i), start_tensor(i) + offset_tensor(i));
    267   }
    268 
    269   tensor = start_tensor;
    270   tensor -= offset_tensor;
    271   for (int i = 0; i < 10; ++i) {
    272     VERIFY_IS_EQUAL(tensor(i), start_tensor(i) - offset_tensor(i));
    273   }
    274 
    275   tensor = start_tensor;
    276   tensor *= offset_tensor;
    277   for (int i = 0; i < 10; ++i) {
    278     VERIFY_IS_EQUAL(tensor(i), start_tensor(i) * offset_tensor(i));
    279   }
    280 
    281   tensor = start_tensor;
    282   tensor /= offset_tensor;
    283   for (int i = 0; i < 10; ++i) {
    284     VERIFY_IS_EQUAL(tensor(i), start_tensor(i) / offset_tensor(i));
    285   }
    286 }
    287 
    288 static void test_std_initializers_tensor() {
    289 #if EIGEN_HAS_VARIADIC_TEMPLATES
    290   Tensor<int, 1> a(3);
    291   a.setValues({0, 1, 2});
    292   VERIFY_IS_EQUAL(a(0), 0);
    293   VERIFY_IS_EQUAL(a(1), 1);
    294   VERIFY_IS_EQUAL(a(2), 2);
    295 
    296   // It fills the top-left slice.
    297   a.setValues({10, 20});
    298   VERIFY_IS_EQUAL(a(0), 10);
    299   VERIFY_IS_EQUAL(a(1), 20);
    300   VERIFY_IS_EQUAL(a(2), 2);
    301 
    302   // Chaining.
    303   Tensor<int, 1> a2(3);
    304   a2 = a.setValues({100, 200, 300});
    305   VERIFY_IS_EQUAL(a(0), 100);
    306   VERIFY_IS_EQUAL(a(1), 200);
    307   VERIFY_IS_EQUAL(a(2), 300);
    308   VERIFY_IS_EQUAL(a2(0), 100);
    309   VERIFY_IS_EQUAL(a2(1), 200);
    310   VERIFY_IS_EQUAL(a2(2), 300);
    311 
    312   Tensor<int, 2> b(2, 3);
    313   b.setValues({{0, 1, 2}, {3, 4, 5}});
    314   VERIFY_IS_EQUAL(b(0, 0), 0);
    315   VERIFY_IS_EQUAL(b(0, 1), 1);
    316   VERIFY_IS_EQUAL(b(0, 2), 2);
    317   VERIFY_IS_EQUAL(b(1, 0), 3);
    318   VERIFY_IS_EQUAL(b(1, 1), 4);
    319   VERIFY_IS_EQUAL(b(1, 2), 5);
    320 
    321   // It fills the top-left slice.
    322   b.setValues({{10, 20}, {30}});
    323   VERIFY_IS_EQUAL(b(0, 0), 10);
    324   VERIFY_IS_EQUAL(b(0, 1), 20);
    325   VERIFY_IS_EQUAL(b(0, 2), 2);
    326   VERIFY_IS_EQUAL(b(1, 0), 30);
    327   VERIFY_IS_EQUAL(b(1, 1), 4);
    328   VERIFY_IS_EQUAL(b(1, 2), 5);
    329 
    330   Eigen::Tensor<int, 3> c(3, 2, 4);
    331   c.setValues({{{0, 1, 2, 3}, {4, 5, 6, 7}},
    332                {{10, 11, 12, 13}, {14, 15, 16, 17}},
    333                {{20, 21, 22, 23}, {24, 25, 26, 27}}});
    334   VERIFY_IS_EQUAL(c(0, 0, 0), 0);
    335   VERIFY_IS_EQUAL(c(0, 0, 1), 1);
    336   VERIFY_IS_EQUAL(c(0, 0, 2), 2);
    337   VERIFY_IS_EQUAL(c(0, 0, 3), 3);
    338   VERIFY_IS_EQUAL(c(0, 1, 0), 4);
    339   VERIFY_IS_EQUAL(c(0, 1, 1), 5);
    340   VERIFY_IS_EQUAL(c(0, 1, 2), 6);
    341   VERIFY_IS_EQUAL(c(0, 1, 3), 7);
    342   VERIFY_IS_EQUAL(c(1, 0, 0), 10);
    343   VERIFY_IS_EQUAL(c(1, 0, 1), 11);
    344   VERIFY_IS_EQUAL(c(1, 0, 2), 12);
    345   VERIFY_IS_EQUAL(c(1, 0, 3), 13);
    346   VERIFY_IS_EQUAL(c(1, 1, 0), 14);
    347   VERIFY_IS_EQUAL(c(1, 1, 1), 15);
    348   VERIFY_IS_EQUAL(c(1, 1, 2), 16);
    349   VERIFY_IS_EQUAL(c(1, 1, 3), 17);
    350   VERIFY_IS_EQUAL(c(2, 0, 0), 20);
    351   VERIFY_IS_EQUAL(c(2, 0, 1), 21);
    352   VERIFY_IS_EQUAL(c(2, 0, 2), 22);
    353   VERIFY_IS_EQUAL(c(2, 0, 3), 23);
    354   VERIFY_IS_EQUAL(c(2, 1, 0), 24);
    355   VERIFY_IS_EQUAL(c(2, 1, 1), 25);
    356   VERIFY_IS_EQUAL(c(2, 1, 2), 26);
    357   VERIFY_IS_EQUAL(c(2, 1, 3), 27);
    358 #endif  // EIGEN_HAS_VARIADIC_TEMPLATES
    359 }
    360 
    361 void test_cxx11_tensor_assign()
    362 {
    363   CALL_SUBTEST(test_1d());
    364   CALL_SUBTEST(test_2d());
    365   CALL_SUBTEST(test_3d());
    366   CALL_SUBTEST(test_same_type());
    367   CALL_SUBTEST(test_auto_resize());
    368   CALL_SUBTEST(test_compound_assign());
    369   CALL_SUBTEST(test_std_initializers_tensor());
    370 }
    371