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
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
|
/*=========================================================================
*
* Copyright NumFOCUS
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* https://www.apache.org/licenses/LICENSE-2.0.txt
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
*=========================================================================*/
#include "itkBSplineDerivativeKernelFunction.h"
#include "itkTestingMacros.h"
int
itkBSplineKernelFunctionTest(int, char *[])
{
// Externally generated results
constexpr unsigned int npoints = 49;
const double x[npoints] = { -3, -2.875, -2.75, -2.625, -2.5, -2.375, -2.25, -2.125, -2, -1.875,
-1.75, -1.625, -1.5, -1.375, -1.25, -1.125, -1, -0.875, -0.75, -0.625,
-0.5, -0.375, -0.25, -0.125, 0, 0.125, 0.25, 0.375, 0.5, 0.625,
0.75, 0.875, 1, 1.125, 1.25, 1.375, 1.5, 1.625, 1.75, 1.875,
2, 2.125, 2.25, 2.375, 2.5, 2.625, 2.75, 2.875, 3 };
const double b0[npoints] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5, 1, 1, 1, 1,
1, 1, 1, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 };
const double b1[npoints] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0.125, 0.25, 0.375, 0.5, 0.625, 0.75, 0.875, 1, 0.875,
0.75, 0.625, 0.5, 0.375, 0.25, 0.125, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0 };
const double b2[npoints] = { 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0.0078125,
0.03125, 0.0703125, 0.125, 0.195313, 0.28125, 0.382813, 0.5,
0.609375, 0.6875, 0.734375, 0.75, 0.734375, 0.6875, 0.609375,
0.5, 0.382813, 0.28125, 0.195313, 0.125, 0.0703125, 0.03125,
0.0078125, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0 };
const double b3[npoints] = { 0, 0, 0, 0, 0, 0, 0,
0, 0, 0.000325521, 0.00260417, 0.00878906, 0.0208333, 0.0406901,
0.0703125, 0.111654, 0.166667, 0.236003, 0.315104, 0.398112, 0.479167,
0.552409, 0.611979, 0.652018, 0.666667, 0.652018, 0.611979, 0.552409,
0.479167, 0.398112, 0.315104, 0.236003, 0.166667, 0.111654, 0.0703125,
0.0406901, 0.0208333, 0.00878906, 0.00260417, 0.000325521, 0, 0,
0, 0, 0, 0, 0, 0, 0 };
// Testing the output of BSplineKernelFunction
#define TEST_BSPLINE_KERNEL(ORDERNUM) \
{ \
using FunctionType = itk::BSplineKernelFunction<ORDERNUM>; \
auto function = FunctionType::New(); \
\
function->Print(std::cout); \
const double epsilon = 1e-6; \
for (unsigned int j = 0; j < npoints; ++j) \
{ \
double results = function->Evaluate(x[j]); \
/* compare with external results */ \
if (itk::Math::abs(results - b##ORDERNUM[j]) > epsilon) \
{ \
std::cerr.precision(static_cast<int>(itk::Math::abs(std::log10(epsilon)))); \
std::cerr << "Test failed!" << std::endl; \
std::cerr << "Error with " << ORDERNUM << " order BSplineKernelFunction "; \
std::cerr << "at index [" << j << "] " << std::endl; \
std::cerr << "Expected value " << b##ORDERNUM[j] << std::endl; \
std::cerr << " differs from " << results; \
std::cerr << " by more than " << epsilon << std::endl; \
return EXIT_FAILURE; \
} \
} \
} \
ITK_MACROEND_NOOP_STATEMENT
TEST_BSPLINE_KERNEL(0);
TEST_BSPLINE_KERNEL(1);
TEST_BSPLINE_KERNEL(2);
TEST_BSPLINE_KERNEL(3);
// Testing derivative spline order = 0
{
constexpr unsigned int SplineOrder = 0;
using DerivativeFunctionType = itk::BSplineDerivativeKernelFunction<SplineOrder>;
auto derivFunction = DerivativeFunctionType::New();
derivFunction->Print(std::cout);
double xx = -0.25;
double expectedValue = 0.0;
double results = derivFunction->Evaluate(xx);
const double epsilon = 1e-6;
if (itk::Math::abs(results - expectedValue) > epsilon)
{
std::cerr.precision(static_cast<int>(itk::Math::abs(std::log10(epsilon))));
std::cerr << "Test failed!" << std::endl;
std::cerr << "Error with " << SplineOrder << " order BSplineDerivativeKernelFunction at " << xx << std::endl;
std::cerr << "Expected value " << expectedValue << std::endl;
std::cerr << " differs from " << results;
std::cerr << " by more than " << epsilon << std::endl;
return EXIT_FAILURE;
}
}
// Testing derivative spline order = 1
{
constexpr unsigned int SplineOrder = 1;
using DerivativeFunctionType = itk::BSplineDerivativeKernelFunction<SplineOrder>;
auto derivFunction = DerivativeFunctionType::New();
using FunctionType = itk::BSplineKernelFunction<SplineOrder - 1>;
auto function = FunctionType::New();
for (double xx = -3.0; xx <= 3.0; xx += 0.1)
{
double expectedValue = function->Evaluate(xx + 0.5) - function->Evaluate(xx - 0.5);
double results = derivFunction->Evaluate(xx);
const double epsilon = 1e-6;
if (itk::Math::abs(results - expectedValue) > epsilon)
{
std::cerr.precision(static_cast<int>(itk::Math::abs(std::log10(epsilon))));
std::cerr << "Test failed!" << std::endl;
std::cerr << "Error with " << SplineOrder << " order BSplineDerivativeKernelFunction at " << xx << std::endl;
std::cerr << "Expected value " << expectedValue << std::endl;
std::cerr << " differs from " << results;
std::cerr << " by more than " << epsilon << std::endl;
return EXIT_FAILURE;
}
}
}
// Testing derivative spline order = 2
{
constexpr unsigned int SplineOrder = 2;
using DerivativeFunctionType = itk::BSplineDerivativeKernelFunction<SplineOrder>;
auto derivFunction = DerivativeFunctionType::New();
derivFunction->Print(std::cout);
using FunctionType = itk::BSplineKernelFunction<SplineOrder - 1>;
auto function = FunctionType::New();
for (double xx = -3.0; xx <= 3.0; xx += 0.1)
{
double expectedValue = function->Evaluate(xx + 0.5) - function->Evaluate(xx - 0.5);
double results = derivFunction->Evaluate(xx);
const double epsilon = 1e-6;
if (itk::Math::abs(results - expectedValue) > epsilon)
{
std::cerr.precision(static_cast<int>(itk::Math::abs(std::log10(epsilon))));
std::cerr << "Test failed!" << std::endl;
std::cerr << "Error with " << SplineOrder << " order BSplineDerivativeKernelFunction at " << xx << std::endl;
std::cerr << "Expected value " << expectedValue << std::endl;
std::cerr << " differs from " << results;
std::cerr << " by more than " << epsilon << std::endl;
return EXIT_FAILURE;
}
}
}
// Testing derivative spline order = 3
{
constexpr unsigned int SplineOrder = 3;
using DerivativeFunctionType = itk::BSplineDerivativeKernelFunction<SplineOrder>;
auto derivFunction = DerivativeFunctionType::New();
derivFunction->Print(std::cout);
using FunctionType = itk::BSplineKernelFunction<SplineOrder - 1>;
auto function = FunctionType::New();
for (double xx = -3.0; xx <= 3.0; xx += 0.1)
{
double expectedValue = function->Evaluate(xx + 0.5) - function->Evaluate(xx - 0.5);
double results = derivFunction->Evaluate(xx);
const double epsilon = 1e-6;
if (itk::Math::abs(results - expectedValue) > epsilon)
{
std::cerr.precision(static_cast<int>(itk::Math::abs(std::log10(epsilon))));
std::cerr << "Test failed!" << std::endl;
std::cerr << "Error with " << SplineOrder << " order BSplineDerivativeKernelFunction at " << xx << std::endl;
std::cerr << "Expected value " << expectedValue << std::endl;
std::cerr << " differs from " << results;
std::cerr << " by more than " << epsilon << std::endl;
return EXIT_FAILURE;
}
}
}
// Testing case of unimplemented spline order
{
using FunctionType = itk::BSplineKernelFunction<7>;
auto function = FunctionType::New();
ITK_TRY_EXPECT_EXCEPTION(function->Evaluate(0.0));
}
// Testing case of unimplemented spline order
{
using FunctionType = itk::BSplineDerivativeKernelFunction<5>;
auto function = FunctionType::New();
ITK_TRY_EXPECT_EXCEPTION(function->Evaluate(0.0));
}
std::cout << "Test finished. " << std::endl;
return EXIT_SUCCESS;
}
|
