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
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
|
// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2014 Jianwei Cui <thucjw@gmail.com>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
#include "main.h"
#include <complex>
#include <cmath>
#include <Eigen/CXX11/Tensor>
using Eigen::Tensor;
template <int DataLayout>
static void test_1D_fft_ifft_invariant(int sequence_length) {
Tensor<double, 1, DataLayout> tensor(sequence_length);
tensor.setRandom();
array<int, 1> fft;
fft[0] = 0;
Tensor<std::complex<double>, 1, DataLayout> tensor_after_fft;
Tensor<std::complex<double>, 1, DataLayout> tensor_after_fft_ifft;
tensor_after_fft = tensor.template fft<Eigen::BothParts, Eigen::FFT_FORWARD>(fft);
tensor_after_fft_ifft = tensor_after_fft.template fft<Eigen::BothParts, Eigen::FFT_REVERSE>(fft);
VERIFY_IS_EQUAL(tensor_after_fft.dimension(0), sequence_length);
VERIFY_IS_EQUAL(tensor_after_fft_ifft.dimension(0), sequence_length);
for (int i = 0; i < sequence_length; ++i) {
VERIFY_IS_APPROX(static_cast<float>(tensor(i)), static_cast<float>(std::real(tensor_after_fft_ifft(i))));
}
}
template <int DataLayout>
static void test_2D_fft_ifft_invariant(int dim0, int dim1) {
Tensor<double, 2, DataLayout> tensor(dim0, dim1);
tensor.setRandom();
array<int, 2> fft;
fft[0] = 0;
fft[1] = 1;
Tensor<std::complex<double>, 2, DataLayout> tensor_after_fft;
Tensor<std::complex<double>, 2, DataLayout> tensor_after_fft_ifft;
tensor_after_fft = tensor.template fft<Eigen::BothParts, Eigen::FFT_FORWARD>(fft);
tensor_after_fft_ifft = tensor_after_fft.template fft<Eigen::BothParts, Eigen::FFT_REVERSE>(fft);
VERIFY_IS_EQUAL(tensor_after_fft.dimension(0), dim0);
VERIFY_IS_EQUAL(tensor_after_fft.dimension(1), dim1);
VERIFY_IS_EQUAL(tensor_after_fft_ifft.dimension(0), dim0);
VERIFY_IS_EQUAL(tensor_after_fft_ifft.dimension(1), dim1);
for (int i = 0; i < dim0; ++i) {
for (int j = 0; j < dim1; ++j) {
//std::cout << "[" << i << "][" << j << "]" << " Original data: " << tensor(i,j) << " Transformed data:" << tensor_after_fft_ifft(i,j) << std::endl;
VERIFY_IS_APPROX(static_cast<float>(tensor(i,j)), static_cast<float>(std::real(tensor_after_fft_ifft(i,j))));
}
}
}
template <int DataLayout>
static void test_3D_fft_ifft_invariant(int dim0, int dim1, int dim2) {
Tensor<double, 3, DataLayout> tensor(dim0, dim1, dim2);
tensor.setRandom();
array<int, 3> fft;
fft[0] = 0;
fft[1] = 1;
fft[2] = 2;
Tensor<std::complex<double>, 3, DataLayout> tensor_after_fft;
Tensor<std::complex<double>, 3, DataLayout> tensor_after_fft_ifft;
tensor_after_fft = tensor.template fft<Eigen::BothParts, Eigen::FFT_FORWARD>(fft);
tensor_after_fft_ifft = tensor_after_fft.template fft<Eigen::BothParts, Eigen::FFT_REVERSE>(fft);
VERIFY_IS_EQUAL(tensor_after_fft.dimension(0), dim0);
VERIFY_IS_EQUAL(tensor_after_fft.dimension(1), dim1);
VERIFY_IS_EQUAL(tensor_after_fft.dimension(2), dim2);
VERIFY_IS_EQUAL(tensor_after_fft_ifft.dimension(0), dim0);
VERIFY_IS_EQUAL(tensor_after_fft_ifft.dimension(1), dim1);
VERIFY_IS_EQUAL(tensor_after_fft_ifft.dimension(2), dim2);
for (int i = 0; i < dim0; ++i) {
for (int j = 0; j < dim1; ++j) {
for (int k = 0; k < dim2; ++k) {
VERIFY_IS_APPROX(static_cast<float>(tensor(i,j,k)), static_cast<float>(std::real(tensor_after_fft_ifft(i,j,k))));
}
}
}
}
template <int DataLayout>
static void test_sub_fft_ifft_invariant(int dim0, int dim1, int dim2, int dim3) {
Tensor<double, 4, DataLayout> tensor(dim0, dim1, dim2, dim3);
tensor.setRandom();
array<int, 2> fft;
fft[0] = 2;
fft[1] = 0;
Tensor<std::complex<double>, 4, DataLayout> tensor_after_fft;
Tensor<double, 4, DataLayout> tensor_after_fft_ifft;
tensor_after_fft = tensor.template fft<Eigen::BothParts, Eigen::FFT_FORWARD>(fft);
tensor_after_fft_ifft = tensor_after_fft.template fft<Eigen::RealPart, Eigen::FFT_REVERSE>(fft);
VERIFY_IS_EQUAL(tensor_after_fft.dimension(0), dim0);
VERIFY_IS_EQUAL(tensor_after_fft.dimension(1), dim1);
VERIFY_IS_EQUAL(tensor_after_fft.dimension(2), dim2);
VERIFY_IS_EQUAL(tensor_after_fft.dimension(3), dim3);
VERIFY_IS_EQUAL(tensor_after_fft_ifft.dimension(0), dim0);
VERIFY_IS_EQUAL(tensor_after_fft_ifft.dimension(1), dim1);
VERIFY_IS_EQUAL(tensor_after_fft_ifft.dimension(2), dim2);
VERIFY_IS_EQUAL(tensor_after_fft_ifft.dimension(3), dim3);
for (int i = 0; i < dim0; ++i) {
for (int j = 0; j < dim1; ++j) {
for (int k = 0; k < dim2; ++k) {
for (int l = 0; l < dim3; ++l) {
VERIFY_IS_APPROX(static_cast<float>(tensor(i,j,k,l)), static_cast<float>(tensor_after_fft_ifft(i,j,k,l)));
}
}
}
}
}
void test_cxx11_tensor_ifft() {
CALL_SUBTEST(test_1D_fft_ifft_invariant<ColMajor>(4));
CALL_SUBTEST(test_1D_fft_ifft_invariant<ColMajor>(16));
CALL_SUBTEST(test_1D_fft_ifft_invariant<ColMajor>(32));
CALL_SUBTEST(test_1D_fft_ifft_invariant<ColMajor>(1024*1024));
CALL_SUBTEST(test_2D_fft_ifft_invariant<ColMajor>(4,4));
CALL_SUBTEST(test_2D_fft_ifft_invariant<ColMajor>(8,16));
CALL_SUBTEST(test_2D_fft_ifft_invariant<ColMajor>(16,32));
CALL_SUBTEST(test_2D_fft_ifft_invariant<ColMajor>(1024,1024));
CALL_SUBTEST(test_3D_fft_ifft_invariant<ColMajor>(4,4,4));
CALL_SUBTEST(test_3D_fft_ifft_invariant<ColMajor>(8,16,32));
CALL_SUBTEST(test_3D_fft_ifft_invariant<ColMajor>(16,4,8));
CALL_SUBTEST(test_3D_fft_ifft_invariant<ColMajor>(256,256,256));
CALL_SUBTEST(test_sub_fft_ifft_invariant<ColMajor>(4,4,4,4));
CALL_SUBTEST(test_sub_fft_ifft_invariant<ColMajor>(8,16,32,64));
CALL_SUBTEST(test_sub_fft_ifft_invariant<ColMajor>(16,4,8,12));
CALL_SUBTEST(test_sub_fft_ifft_invariant<ColMajor>(64,64,64,64));
}
|
