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
223
224
225
226
227
228
229
230
231
232
233
|
/*
* Copyright 2005 Sandia Corporation.
* Under the terms of Contract DE-AC04-94AL85000, there is a non-exclusive
* license for use of this work by or on behalf of the
* U.S. Government. Redistribution and use in source and binary forms, with
* or without modification, are permitted provided that this Notice and any
* statement of authorship are reproduced on all copies.
*/
#include "vtkMath.h"
#ifndef ABS
#define ABS(x) ((x) < 0 ? -(x) : (x))
#endif
//=============================================================================
// Helpful class for storing and using color triples.
class Triple {
public:
Triple() {};
Triple(double a, double b, double c) {
data[0] = a; data[1] = b; data[2] = c;
}
const double *operator()() const { return data; }
double *operator()() { return data; }
const double &operator[](int i) const { return data[i]; }
double &operator[](int i) { return data[i]; }
bool operator==(const Triple &triple) const {
return *this == triple.data;
}
bool operator==(const double *triple) const {
return ( (this->data[0] - triple[0] <= 0.01*ABS(data[0])+0.02)
&& (this->data[0] - triple[0] >= -0.01*ABS(data[0])-0.02)
&& (this->data[1] - triple[1] <= 0.01*ABS(data[1])+0.02)
&& (this->data[1] - triple[1] >= -0.01*ABS(data[1])-0.02)
&& (this->data[2] - triple[2] <= 0.01*ABS(data[2])+0.02)
&& (this->data[2] - triple[2] >= -0.01*ABS(data[2])-0.02) );
}
bool operator!=(const Triple &triple) const {
return *this != triple.data;
}
bool operator!=(const double *triple) const {
return !(*this == triple);
}
private:
double data[3];
};
static ostream &operator<<(ostream &os, const Triple t)
{
os << t[0] << ", " << t[1] << ", " << t[2];
return os;
}
//=============================================================================
// Function for comparing colors. Each value should be equivalent in the
// respective color space.
static int TestColorConvert(const Triple &rgb, const Triple &hsv,
const Triple &xyz, const Triple &lab);
int TestMath(int,char *[])
{
int testIntValue;
testIntValue = vtkMath::Factorial(5);
if ( testIntValue != 120 )
{
vtkGenericWarningMacro("Factorial(5) = "<<testIntValue<<" != 120");
return 1;
}
testIntValue = vtkMath::Binomial(8,3);
if ( testIntValue != 56 )
{
vtkGenericWarningMacro("Binomial(8,3) = "<<testIntValue<<" != 56");
return 1;
}
testIntValue = vtkMath::Binomial(5,3);
if ( testIntValue != 10 )
{
vtkGenericWarningMacro("Binomial(5,3) = "<<testIntValue<<" != 10");
return 1;
}
// Solving x(x - 10^-4)^2 = 0 illustrates how the Tartaglia-Cardan solver
// filters some numerical noise by noticing there is a double root (that
// SolveCubic does not notice).
double c[] = { 1., -2.e-4, 1.e-8, 0.};
#if 0
double r1, r2, r3;
int nr;
testIntValue = vtkMath::SolveCubic( c[0], c[1], c[2], c[3], &r1, &r2, &r3, &nr );
if ( testIntValue != 3 )
{
vtkGenericWarningMacro("SolveCubic returned "<<testIntValue<<" != 3");
return 1;
}
#endif // 0
double r[3];
int m[3];
testIntValue = vtkMath::TartagliaCardanSolve( c, r, m );
if ( testIntValue != 2 )
{
vtkGenericWarningMacro("TartagliaCardanSolve returned "<<testIntValue<<" != 2");
return 1;
}
// Test color conversion.
int colorsPassed = 1;
colorsPassed &= TestColorConvert(Triple(1.0, 1.0, 1.0), // RGB
Triple(0.0, 0.0, 1.0), // HSV (H ambiguous)
Triple(95.047, 100.0, 108.883), // XYZ
Triple(100.0, 0.0, 0.0)); // L*ab
colorsPassed &= TestColorConvert(Triple(0.5, 0.5, 0.0), // RGB
Triple(1.0/6.0, 1.0, 0.5), // HSV
Triple(16.48, 19.86, 2.96), // XYZ
Triple(51.68, -12.89, 56.52)); // L*ab
colorsPassed &= TestColorConvert(Triple(0.25, 0.25, 0.5), // RGB
Triple(2.0/3.0, 0.5, 0.5), // HSV
Triple(7.78, 6.27, 21.05), // XYZ
Triple(30.07, 18.51, -36.21)); // L*ab
colorsPassed &= TestColorConvert(Triple(0.0, 0.0, 0.0), // RGB
Triple(0.0, 0.0, 0.0), // HSV (H&S ambiguous)
Triple(0.0, 0.0, 0.0), // XYZ
Triple(0.0, 0.0, 0.0)); // L*ab
if (!colorsPassed)
{
return 1;
}
return 0;
}
static int TestColorConvert(const Triple &rgb, const Triple &hsv,
const Triple &xyz, const Triple &lab)
{
cout << "Ensuring the following colors are consistent: " << endl;
cout << " RGB: " << rgb << endl;
cout << " HSV: " << hsv << endl;
cout << " CIE XYZ: " << xyz << endl;
cout << " CIE-L*ab: " << lab << endl;
Triple result1;
double *result2;
#define COMPARE(testname, target, dest) \
if (target != dest) \
{ \
vtkGenericWarningMacro(<< "Incorrect " #testname " conversion. Got " \
<< dest << " expected " << target); \
return 0; \
}
// Test conversion between RGB and HSV.
vtkMath::RGBToHSV(rgb(), result1());
COMPARE(RGBToHSV, hsv, result1);
vtkMath::HSVToRGB(hsv(), result1());
COMPARE(HSVToRGB, rgb, result1);
result2 = vtkMath::RGBToHSV(rgb());
COMPARE(RGBToHSV, hsv, result2);
result2 = vtkMath::HSVToRGB(hsv());
COMPARE(HSVToRGB, rgb, result2);
vtkMath::RGBToHSV(rgb[0], rgb[1], rgb[2],
&result1[0], &result1[1], &result1[2]);
COMPARE(RGBToHSV, hsv, result1);
vtkMath::HSVToRGB(hsv[0], hsv[1], hsv[2],
&result1[0], &result1[1], &result1[2]);
COMPARE(HSVToRGB, rgb, result1);
// Test conversion between RGB and XYZ.
vtkMath::RGBToXYZ(rgb(), result1());
COMPARE(RGBToXYZ, xyz, result1);
vtkMath::XYZToRGB(xyz(), result1());
COMPARE(XYZToRGB, rgb, result1);
result2 = vtkMath::RGBToXYZ(rgb());
COMPARE(RGBToXYZ, xyz, result2);
result2 = vtkMath::XYZToRGB(xyz());
COMPARE(XYZToRGB, rgb, result2);
vtkMath::RGBToXYZ(rgb[0], rgb[1], rgb[2],
&result1[0], &result1[1], &result1[2]);
COMPARE(RGBToXYZ, xyz, result1);
vtkMath::XYZToRGB(xyz[0], xyz[1], xyz[2],
&result1[0], &result1[1], &result1[2]);
COMPARE(XYZToRGB, rgb, result1);
// Test conversion between Lab and XYZ.
vtkMath::LabToXYZ(lab(), result1());
COMPARE(LabToXYZ, xyz, result1);
vtkMath::XYZToLab(xyz(), result1());
COMPARE(XYZToLab, lab, result1);
result2 = vtkMath::LabToXYZ(lab());
COMPARE(LabToXYZ, xyz, result2);
result2 = vtkMath::XYZToLab(xyz());
COMPARE(XYZToLab, lab, result2);
vtkMath::LabToXYZ(lab[0], lab[1], lab[2],
&result1[0], &result1[1], &result1[2]);
COMPARE(LabToXYZ, xyz, result1);
vtkMath::XYZToLab(xyz[0], xyz[1], xyz[2],
&result1[0], &result1[1], &result1[2]);
COMPARE(XYZToLab, lab, result1);
// Test conversion between Lab and RGB.
vtkMath::LabToRGB(lab(), result1());
COMPARE(LabToRGB, rgb, result1);
vtkMath::RGBToLab(rgb(), result1());
COMPARE(RGBToLab, lab, result1);
result2 = vtkMath::LabToRGB(lab());
COMPARE(LabToRGB, rgb, result2);
result2 = vtkMath::RGBToLab(rgb());
COMPARE(RGBToLab, lab, result2);
vtkMath::LabToRGB(lab[0], lab[1], lab[2],
&result1[0], &result1[1], &result1[2]);
COMPARE(LabToRGB, rgb, result1);
vtkMath::RGBToLab(rgb[0], rgb[1], rgb[2],
&result1[0], &result1[1], &result1[2]);
COMPARE(RGBToLab, lab, result1);
return 1;
}
|
