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
|
/****************************************************************************
**
** Copyright (C) 2009 Nokia Corporation and/or its subsidiary(-ies).
** All rights reserved.
** Contact: Nokia Corporation (qt-info@nokia.com)
**
** This file is part of the QtCore module of the Qt Toolkit.
**
** $QT_BEGIN_LICENSE:LGPL$
** No Commercial Usage
** This file contains pre-release code and may not be distributed.
** You may use this file in accordance with the terms and conditions
** contained in the Technology Preview License Agreement accompanying
** this package.
**
** GNU Lesser General Public License Usage
** Alternatively, this file may be used under the terms of the GNU Lesser
** General Public License version 2.1 as published by the Free Software
** Foundation and appearing in the file LICENSE.LGPL included in the
** packaging of this file. Please review the following information to
** ensure the GNU Lesser General Public License version 2.1 requirements
** will be met: http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html.
**
** In addition, as a special exception, Nokia gives you certain additional
** rights. These rights are described in the Nokia Qt LGPL Exception
** version 1.1, included in the file LGPL_EXCEPTION.txt in this package.
**
** If you have questions regarding the use of this file, please contact
** Nokia at qt-info@nokia.com.
**
**
**
**
**
**
**
**
** $QT_END_LICENSE$
**
****************************************************************************/
#ifndef QMATH_H
#define QMATH_H
#include <math.h>
#include <QtCore/qglobal.h>
QT_BEGIN_HEADER
QT_BEGIN_NAMESPACE
QT_MODULE(Core)
#define QT_SINE_TABLE_SIZE 256
extern Q_CORE_EXPORT const qreal qt_sine_table[QT_SINE_TABLE_SIZE];
inline int qCeil(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
if (sizeof(qreal) == sizeof(float))
return int(ceilf(float(v)));
else
#endif
return int(ceil(v));
}
inline int qFloor(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
if (sizeof(qreal) == sizeof(float))
return int(floorf(float(v)));
else
#endif
return int(floor(v));
}
inline qreal qFabs(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
if(sizeof(qreal) == sizeof(float))
return fabsf(float(v));
else
#endif
return fabs(v);
}
inline qreal qSin(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
if (sizeof(qreal) == sizeof(float))
return sinf(float(v));
else
#endif
return sin(v);
}
inline qreal qCos(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
if (sizeof(qreal) == sizeof(float))
return cosf(float(v));
else
#endif
return cos(v);
}
inline qreal qTan(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
if (sizeof(qreal) == sizeof(float))
return tanf(float(v));
else
#endif
return tan(v);
}
inline qreal qAcos(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
if (sizeof(qreal) == sizeof(float))
return acosf(float(v));
else
#endif
return acos(v);
}
inline qreal qAsin(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
if (sizeof(qreal) == sizeof(float))
return asinf(float(v));
else
#endif
return asin(v);
}
inline qreal qAtan(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
if(sizeof(qreal) == sizeof(float))
return atanf(float(v));
else
#endif
return atan(v);
}
inline qreal qAtan2(qreal x, qreal y)
{
#ifdef QT_USE_MATH_H_FLOATS
if(sizeof(qreal) == sizeof(float))
return atan2f(float(x), float(y));
else
#endif
return atan2(x, y);
}
inline qreal qSqrt(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
if (sizeof(qreal) == sizeof(float))
return sqrtf(float(v));
else
#endif
return sqrt(v);
}
inline qreal qLn(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
if (sizeof(qreal) == sizeof(float))
return logf(float(v));
else
#endif
return log(v);
}
inline qreal qExp(qreal v)
{
// only one signature
// exists, exp(double)
return exp(v);
}
inline qreal qPow(qreal x, qreal y)
{
#ifdef QT_USE_MATH_H_FLOATS
if (sizeof(qreal) == sizeof(float))
return powf(float(x), float(y));
else
#endif
return pow(x, y);
}
#ifndef M_PI
#define M_PI (3.14159265358979323846)
#endif
inline qreal qFastSin(qreal x)
{
int si = int(x * (0.5 * QT_SINE_TABLE_SIZE / M_PI)); // Would be more accurate with qRound, but slower.
qreal d = x - si * (2.0 * M_PI / QT_SINE_TABLE_SIZE);
int ci = si + QT_SINE_TABLE_SIZE / 4;
si &= QT_SINE_TABLE_SIZE - 1;
ci &= QT_SINE_TABLE_SIZE - 1;
return qt_sine_table[si] + (qt_sine_table[ci] - 0.5 * qt_sine_table[si] * d) * d;
}
inline qreal qFastCos(qreal x)
{
int ci = int(x * (0.5 * QT_SINE_TABLE_SIZE / M_PI)); // Would be more accurate with qRound, but slower.
qreal d = x - ci * (2.0 * M_PI / QT_SINE_TABLE_SIZE);
int si = ci + QT_SINE_TABLE_SIZE / 4;
si &= QT_SINE_TABLE_SIZE - 1;
ci &= QT_SINE_TABLE_SIZE - 1;
return qt_sine_table[si] - (qt_sine_table[ci] + 0.5 * qt_sine_table[si] * d) * d;
}
QT_END_NAMESPACE
QT_END_HEADER
#endif // QMATH_H
|