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
|
#include "CubicIntersection_Tests.h"
#include "LineParameters.h"
// tests to verify that distance calculations are coded correctly
const Cubic tests[] = {
{{0, 0}, {1, 1}, {2, 2}, {0, 3}},
{{0, 0}, {1, 1}, {2, 2}, {3, 0}},
{{0, 0}, {5, 0}, {-2,4}, {3, 4}},
{{0, 2}, {1, 0}, {2, 0}, {3, 0}},
{{0, .2}, {1, 0}, {2, 0}, {3, 0}},
{{0, .02}, {1, 0}, {2, 0}, {3, 0}},
{{0, .002}, {1, 0}, {2, 0}, {3, 0}},
{{0, .0002}, {1, 0}, {2, 0}, {3, 0}},
{{0, .00002}, {1, 0}, {2, 0}, {3, 0}},
{{0, PointEpsilon * 2}, {1, 0}, {2, 0}, {3, 0}},
};
const double answers[][2] = {
{1, 2},
{1, 2},
{4, 4},
{1.1094003924, 0.5547001962},
{0.133038021, 0.06651901052},
{0.0133330370, 0.006666518523},
{0.001333333037, 0.0006666665185},
{0.000133333333, 6.666666652e-05},
{1.333333333e-05, 6.666666667e-06},
{1.333333333e-06, 6.666666667e-07},
};
const size_t tests_count = sizeof(tests) / sizeof(tests[0]);
static size_t firstLineParameterTest = 0;
void LineParameter_Test() {
for (size_t index = firstLineParameterTest; index < tests_count; ++index) {
LineParameters lineParameters;
const Cubic& cubic = tests[index];
lineParameters.cubicEndPoints(cubic);
double denormalizedDistance[2];
lineParameters.controlPtDistance(cubic, denormalizedDistance);
double normalSquared = lineParameters.normalSquared();
size_t inner;
for (inner = 0; inner < 2; ++inner) {
double distSq = denormalizedDistance[inner];
distSq *= distSq;
double answersSq = answers[index][inner];
answersSq *= answersSq;
if (approximately_equal(distSq, normalSquared * answersSq)) {
continue;
}
printf("%s [%d,%d] denormalizedDistance:%g != answer:%g"
" distSq:%g answerSq:%g normalSquared:%g\n",
__FUNCTION__, (int)index, (int)inner,
denormalizedDistance[inner], answers[index][inner],
distSq, answersSq, normalSquared);
}
lineParameters.normalize();
double normalizedDistance[2];
lineParameters.controlPtDistance(cubic, normalizedDistance);
for (inner = 0; inner < 2; ++inner) {
if (approximately_equal(fabs(normalizedDistance[inner]),
answers[index][inner])) {
continue;
}
printf("%s [%d,%d] normalizedDistance:%1.10g != answer:%g\n",
__FUNCTION__, (int)index, (int)inner,
normalizedDistance[inner], answers[index][inner]);
}
}
}
|
