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@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 
test_0d()18 static void test_0d()
19 {
20   TensorFixedSize<float, Sizes<> > scalar1;
21   TensorFixedSize<float, Sizes<>, RowMajor> scalar2;
22   VERIFY_IS_EQUAL(scalar1.rank(), 0);
23   VERIFY_IS_EQUAL(scalar1.size(), 1);
24   VERIFY_IS_EQUAL(array_prod(scalar1.dimensions()), 1);
25 
26   scalar1() = 7.0;
27   scalar2() = 13.0;
28 
29   // Test against shallow copy.
30   TensorFixedSize<float, Sizes<> > copy = scalar1;
31   VERIFY_IS_NOT_EQUAL(scalar1.data(), copy.data());
32   VERIFY_IS_APPROX(scalar1(), copy());
33   copy = scalar1;
34   VERIFY_IS_NOT_EQUAL(scalar1.data(), copy.data());
35   VERIFY_IS_APPROX(scalar1(), copy());
36 
37   TensorFixedSize<float, Sizes<> > scalar3 = scalar1.sqrt();
38   TensorFixedSize<float, Sizes<>, RowMajor> scalar4 = scalar2.sqrt();
39   VERIFY_IS_EQUAL(scalar3.rank(), 0);
40   VERIFY_IS_APPROX(scalar3(), sqrtf(7.0));
41   VERIFY_IS_APPROX(scalar4(), sqrtf(13.0));
42 
43   scalar3 = scalar1 + scalar2;
44   VERIFY_IS_APPROX(scalar3(), 7.0f + 13.0f);
45 }
46 
test_1d()47 static void test_1d()
48 {
49   TensorFixedSize<float, Sizes<6> > vec1;
50   TensorFixedSize<float, Sizes<6>, RowMajor> vec2;
51 
52   VERIFY_IS_EQUAL((vec1.size()), 6);
53   //  VERIFY_IS_EQUAL((vec1.dimensions()[0]), 6);
54   //  VERIFY_IS_EQUAL((vec1.dimension(0)), 6);
55 
56   vec1(0) = 4.0;  vec2(0) = 0.0;
57   vec1(1) = 8.0;  vec2(1) = 1.0;
58   vec1(2) = 15.0; vec2(2) = 2.0;
59   vec1(3) = 16.0; vec2(3) = 3.0;
60   vec1(4) = 23.0; vec2(4) = 4.0;
61   vec1(5) = 42.0; vec2(5) = 5.0;
62 
63   // Test against shallow copy.
64   TensorFixedSize<float, Sizes<6> > copy = vec1;
65   VERIFY_IS_NOT_EQUAL(vec1.data(), copy.data());
66   for (int i = 0; i < 6; ++i) {
67     VERIFY_IS_APPROX(vec1(i), copy(i));
68   }
69   copy = vec1;
70   VERIFY_IS_NOT_EQUAL(vec1.data(), copy.data());
71   for (int i = 0; i < 6; ++i) {
72     VERIFY_IS_APPROX(vec1(i), copy(i));
73   }
74 
75   TensorFixedSize<float, Sizes<6> > vec3 = vec1.sqrt();
76   TensorFixedSize<float, Sizes<6>, RowMajor> vec4 = vec2.sqrt();
77 
78   VERIFY_IS_EQUAL((vec3.size()), 6);
79   VERIFY_IS_EQUAL(vec3.rank(), 1);
80   //  VERIFY_IS_EQUAL((vec3.dimensions()[0]), 6);
81   //  VERIFY_IS_EQUAL((vec3.dimension(0)), 6);
82 
83   VERIFY_IS_APPROX(vec3(0), sqrtf(4.0));
84   VERIFY_IS_APPROX(vec3(1), sqrtf(8.0));
85   VERIFY_IS_APPROX(vec3(2), sqrtf(15.0));
86   VERIFY_IS_APPROX(vec3(3), sqrtf(16.0));
87   VERIFY_IS_APPROX(vec3(4), sqrtf(23.0));
88   VERIFY_IS_APPROX(vec3(5), sqrtf(42.0));
89 
90   VERIFY_IS_APPROX(vec4(0), sqrtf(0.0));
91   VERIFY_IS_APPROX(vec4(1), sqrtf(1.0));
92   VERIFY_IS_APPROX(vec4(2), sqrtf(2.0));
93   VERIFY_IS_APPROX(vec4(3), sqrtf(3.0));
94   VERIFY_IS_APPROX(vec4(4), sqrtf(4.0));
95   VERIFY_IS_APPROX(vec4(5), sqrtf(5.0));
96 
97   vec3 = vec1 + vec2;
98   VERIFY_IS_APPROX(vec3(0), 4.0f + 0.0f);
99   VERIFY_IS_APPROX(vec3(1), 8.0f + 1.0f);
100   VERIFY_IS_APPROX(vec3(2), 15.0f + 2.0f);
101   VERIFY_IS_APPROX(vec3(3), 16.0f + 3.0f);
102   VERIFY_IS_APPROX(vec3(4), 23.0f + 4.0f);
103   VERIFY_IS_APPROX(vec3(5), 42.0f + 5.0f);
104 }
105 
test_tensor_map()106 static void test_tensor_map()
107 {
108   TensorFixedSize<float, Sizes<6> > vec1;
109   TensorFixedSize<float, Sizes<6>, RowMajor> vec2;
110 
111   vec1(0) = 4.0;  vec2(0) = 0.0;
112   vec1(1) = 8.0;  vec2(1) = 1.0;
113   vec1(2) = 15.0; vec2(2) = 2.0;
114   vec1(3) = 16.0; vec2(3) = 3.0;
115   vec1(4) = 23.0; vec2(4) = 4.0;
116   vec1(5) = 42.0; vec2(5) = 5.0;
117 
118   float data3[6];
119   TensorMap<TensorFixedSize<float, Sizes<6> > > vec3(data3, 6);
120   vec3 = vec1.sqrt() + vec2;
121 
122   VERIFY_IS_APPROX(vec3(0), sqrtf(4.0));
123   VERIFY_IS_APPROX(vec3(1), sqrtf(8.0) + 1.0f);
124   VERIFY_IS_APPROX(vec3(2), sqrtf(15.0) + 2.0f);
125   VERIFY_IS_APPROX(vec3(3), sqrtf(16.0) + 3.0f);
126   VERIFY_IS_APPROX(vec3(4), sqrtf(23.0) + 4.0f);
127   VERIFY_IS_APPROX(vec3(5), sqrtf(42.0) + 5.0f);
128 }
129 
test_2d()130 static void test_2d()
131 {
132   float data1[6];
133   TensorMap<TensorFixedSize<float, Sizes<2, 3> > > mat1(data1,2,3);
134   float data2[6];
135   TensorMap<TensorFixedSize<float, Sizes<2, 3>, RowMajor> > mat2(data2,2,3);
136 
137   VERIFY_IS_EQUAL((mat1.size()), 2*3);
138   VERIFY_IS_EQUAL(mat1.rank(), 2);
139   //  VERIFY_IS_EQUAL((mat1.dimension(0)), 2);
140   //  VERIFY_IS_EQUAL((mat1.dimension(1)), 3);
141 
142   mat1(0,0) = 0.0;
143   mat1(0,1) = 1.0;
144   mat1(0,2) = 2.0;
145   mat1(1,0) = 3.0;
146   mat1(1,1) = 4.0;
147   mat1(1,2) = 5.0;
148 
149   mat2(0,0) = -0.0;
150   mat2(0,1) = -1.0;
151   mat2(0,2) = -2.0;
152   mat2(1,0) = -3.0;
153   mat2(1,1) = -4.0;
154   mat2(1,2) = -5.0;
155 
156   TensorFixedSize<float, Sizes<2, 3> > mat3;
157   TensorFixedSize<float, Sizes<2, 3>, RowMajor> mat4;
158   mat3 = mat1.abs();
159   mat4 = mat2.abs();
160 
161   VERIFY_IS_EQUAL((mat3.size()), 2*3);
162     //  VERIFY_IS_EQUAL((mat3.dimension(0)), 2);
163     //  VERIFY_IS_EQUAL((mat3.dimension(1)), 3);
164 
165   VERIFY_IS_APPROX(mat3(0,0), 0.0f);
166   VERIFY_IS_APPROX(mat3(0,1), 1.0f);
167   VERIFY_IS_APPROX(mat3(0,2), 2.0f);
168   VERIFY_IS_APPROX(mat3(1,0), 3.0f);
169   VERIFY_IS_APPROX(mat3(1,1), 4.0f);
170   VERIFY_IS_APPROX(mat3(1,2), 5.0f);
171 
172   VERIFY_IS_APPROX(mat4(0,0), 0.0f);
173   VERIFY_IS_APPROX(mat4(0,1), 1.0f);
174   VERIFY_IS_APPROX(mat4(0,2), 2.0f);
175   VERIFY_IS_APPROX(mat4(1,0), 3.0f);
176   VERIFY_IS_APPROX(mat4(1,1), 4.0f);
177   VERIFY_IS_APPROX(mat4(1,2), 5.0f);
178 }
179 
test_3d()180 static void test_3d()
181 {
182   TensorFixedSize<float, Sizes<2, 3, 7> > mat1;
183   TensorFixedSize<float, Sizes<2, 3, 7>, RowMajor> mat2;
184 
185   VERIFY_IS_EQUAL((mat1.size()), 2*3*7);
186   VERIFY_IS_EQUAL(mat1.rank(), 3);
187   //  VERIFY_IS_EQUAL((mat1.dimension(0)), 2);
188   //  VERIFY_IS_EQUAL((mat1.dimension(1)), 3);
189   //  VERIFY_IS_EQUAL((mat1.dimension(2)), 7);
190 
191   float val = 0.0f;
192   for (int i = 0; i < 2; ++i) {
193     for (int j = 0; j < 3; ++j) {
194       for (int k = 0; k < 7; ++k) {
195         mat1(i,j,k) = val;
196         mat2(i,j,k) = val;
197         val += 1.0f;
198       }
199     }
200   }
201 
202   TensorFixedSize<float, Sizes<2, 3, 7> > mat3;
203   mat3 = mat1.sqrt();
204   TensorFixedSize<float, Sizes<2, 3, 7>, RowMajor> mat4;
205   mat4 = mat2.sqrt();
206 
207   VERIFY_IS_EQUAL((mat3.size()), 2*3*7);
208   //  VERIFY_IS_EQUAL((mat3.dimension(0)), 2);
209   //  VERIFY_IS_EQUAL((mat3.dimension(1)), 3);
210   //  VERIFY_IS_EQUAL((mat3.dimension(2)), 7);
211 
212 
213   val = 0.0f;
214   for (int i = 0; i < 2; ++i) {
215     for (int j = 0; j < 3; ++j) {
216       for (int k = 0; k < 7; ++k) {
217         VERIFY_IS_APPROX(mat3(i,j,k), sqrtf(val));
218         VERIFY_IS_APPROX(mat4(i,j,k), sqrtf(val));
219         val += 1.0f;
220       }
221     }
222   }
223 }
224 
225 
test_array()226 static void test_array()
227 {
228   TensorFixedSize<float, Sizes<2, 3, 7> > mat1;
229   float val = 0.0f;
230   for (int i = 0; i < 2; ++i) {
231     for (int j = 0; j < 3; ++j) {
232       for (int k = 0; k < 7; ++k) {
233         mat1(i,j,k) = val;
234         val += 1.0f;
235       }
236     }
237   }
238 
239   TensorFixedSize<float, Sizes<2, 3, 7> > mat3;
240   mat3 = mat1.pow(3.5f);
241 
242   val = 0.0f;
243   for (int i = 0; i < 2; ++i) {
244     for (int j = 0; j < 3; ++j) {
245       for (int k = 0; k < 7; ++k) {
246         VERIFY_IS_APPROX(mat3(i,j,k), powf(val, 3.5f));
247         val += 1.0f;
248       }
249     }
250   }
251 }
252 
test_cxx11_tensor_fixed_size()253 void test_cxx11_tensor_fixed_size()
254 {
255   CALL_SUBTEST(test_0d());
256   CALL_SUBTEST(test_1d());
257   CALL_SUBTEST(test_tensor_map());
258   CALL_SUBTEST(test_2d());
259   CALL_SUBTEST(test_3d());
260   CALL_SUBTEST(test_array());
261 }
262