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
|
/**************************************************************************/
/* Copyright 2012 Tim Day */
/* */
/* This file is part of Evolvotron */
/* */
/* Evolvotron is free software: you can redistribute it and/or modify */
/* it under the terms of the GNU General Public License as published by */
/* the Free Software Foundation, either version 3 of the License, or */
/* (at your option) any later version. */
/* */
/* Evolvotron is distributed in the hope that it will be useful, */
/* but WITHOUT ANY WARRANTY; without even the implied warranty of */
/* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the */
/* GNU General Public License for more details. */
/* */
/* You should have received a copy of the GNU General Public License */
/* along with Evolvotron. If not, see <http://www.gnu.org/licenses/>. */
/**************************************************************************/
/*! \file
\brief Interfaces and implementation for specific Function classes.
As much as possible of the implementation should be pushed into the FunctionBoilerplate template.
*/
#ifndef _functions_kaleidoscope_h_
#define _functions_kaleidoscope_h_
#include "common.h"
#include "function_boilerplate.h"
//------------------------------------------------------------------------------------------
//! Implements reflection of sampling point about multiple planes
FUNCTION_BEGIN(FunctionKaleidoscope,1,1,false,FnStructure)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint n=2+static_cast<uint>(floor(8.0*fabs(param(0))));
const real a=atan2(p.x(),p.y());
const real r=sqrt(p.x()*p.x()+p.y()*p.y());
const real sa=trianglef(a,M_PI/n);
const XYZ s(r*sin(sa),r*cos(sa),p.z());
return arg(0)(s);
}
FUNCTION_END(FunctionKaleidoscope)
//------------------------------------------------------------------------------------------
//! Like FunctionKaleidoscope but Z drives rotation of underlying function
/*! Good for animation
*/
FUNCTION_BEGIN(FunctionKaleidoscopeZRotate,2,1,false,FnStructure)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint n=2+static_cast<uint>(floor(8.0*fabs(param(0))));
const real a=atan2(p.x(),p.y());
const real r=sqrt(p.x()*p.x()+p.y()*p.y());
const real sa=trianglef(a,M_PI/n)+param(1)*p.z();
const XYZ s(r*sin(sa),r*cos(sa),0.0);
return arg(0)(s);
}
FUNCTION_END(FunctionKaleidoscopeZRotate)
//------------------------------------------------------------------------------------------
//! Like FunctionKaleidoscope with a twist
FUNCTION_BEGIN(FunctionKaleidoscopeTwist,2,1,false,FnStructure)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint n=2+static_cast<uint>(floor(8.0*fabs(param(0))));
const real a=atan2(p.x(),p.y());
const real r=sqrt(p.x()*p.x()+p.y()*p.y());
const real sa=trianglef(a-r*param(1),M_PI/n);
const XYZ s(r*sin(sa),r*cos(sa),p.z());
return arg(0)(s);
}
FUNCTION_END(FunctionKaleidoscopeTwist)
//------------------------------------------------------------------------------------------
//! Implements reflection of sampling point about multiple planes
FUNCTION_BEGIN(FunctionWindmill,1,1,false,FnStructure)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint n=1+static_cast<uint>(floor(8.0*fabs(param(0))));
const real a=atan2(p.x(),p.y());
const real r=sqrt(p.x()*p.x()+p.y()*p.y());
const real sa=modulusf(a,M_PI/n);
const XYZ s(r*sin(sa),r*cos(sa),p.z());
return arg(0)(s);
}
FUNCTION_END(FunctionWindmill)
//------------------------------------------------------------------------------------------
//! Like FunctionWindmill but Z drives rotation of underlying function
/*! Good for animation
*/
FUNCTION_BEGIN(FunctionWindmillZRotate,2,1,false,FnStructure)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint n=1+static_cast<uint>(floor(8.0*fabs(param(0))));
const real a=atan2(p.x(),p.y());
const real r=sqrt(p.x()*p.x()+p.y()*p.y());
const real sa=modulusf(a,M_PI/n)+param(1)*p.z();
const XYZ s(r*sin(sa),r*cos(sa),0.0);
return arg(0)(s);
}
FUNCTION_END(FunctionWindmillZRotate)
//------------------------------------------------------------------------------------------
//! Like FunctionWindmill with twist
FUNCTION_BEGIN(FunctionWindmillTwist,2,1,false,FnStructure)
//! Evaluate function.
virtual const XYZ evaluate(const XYZ& p) const
{
const uint n=1+static_cast<uint>(floor(8.0*fabs(param(0))));
const real a=atan2(p.x(),p.y());
const real r=sqrt(p.x()*p.x()+p.y()*p.y());
const real sa=modulusf(a-r*param(1),M_PI/n);
const XYZ s(r*sin(sa),r*cos(sa),p.z());
return arg(0)(s);
}
FUNCTION_END(FunctionWindmillTwist)
//------------------------------------------------------------------------------------------
#endif
|
