1 /**
2 * Mandelbulber v2, a 3D fractal generator _%}}i*<. ______
3 * Copyright (C) 2020 Mandelbulber Team _>]|=||i=i<, / ____/ __ __
4 * \><||i|=>>%) / / __/ /___/ /_
5 * This file is part of Mandelbulber. )<=i=]=|=i<> / /__ /_ __/_ __/
6 * The project is licensed under GPLv3, -<>>=|><|||` \____/ /_/ /_/
7 * see also COPYING file in this folder. ~+{i%+++
8 *
9 * amazing surf based on Mandelbulber3D. Formula proposed by Kali, with features added by
10 * DarkBeam
11 * @reference
12 * http://www.fractalforums.com/mandelbulb-3d/custom-formulas-and-transforms-release-t17106/
13 */
14
15 #include "all_fractal_definitions.h"
16
cFractalAmazingSurfKleinV2()17 cFractalAmazingSurfKleinV2::cFractalAmazingSurfKleinV2() : cAbstractFractal()
18 {
19 nameInComboBox = "Amazing Surf - Klein V2";
20 internalName = "amazing_surf_klein_v2";
21 internalID = fractal::amazingSurfKleinV2;
22 DEType = analyticDEType;
23 DEFunctionType = linearDEFunction;
24 cpixelAddition = cpixelDisabledByDefault;
25 defaultBailout = 100.0;
26 DEAnalyticFunction = analyticFunctionLinear;
27 coloringFunction = coloringFunctionDefault;
28 }
29
FormulaCode(CVector4 & z,const sFractal * fractal,sExtendedAux & aux)30 void cFractalAmazingSurfKleinV2::FormulaCode(CVector4 &z, const sFractal *fractal, sExtendedAux &aux)
31 {
32 // polyfold
33 if (fractal->transformCommon.functionEnabledPFalse
34 && aux.i >= fractal->transformCommon.startIterationsP
35 && aux.i < fractal->transformCommon.stopIterationsP1)
36 {
37 z.x = fabs(z.x);
38 if (fractal->transformCommon.functionEnabledCy) z.y = fabs(z.y);
39 double psi = M_PI / fractal->transformCommon.int8Y;
40 psi = fabs(fmod(atan2(z.y, z.x) + psi, 2.0 * psi) - psi);
41 double len = sqrt(z.x * z.x + z.y * z.y);
42 z.x = cos(psi) * len;
43 z.y = sin(psi) * len;
44 z += fractal->transformCommon.offsetF000;
45 }
46
47 // sphere inversion
48 if (fractal->transformCommon.sphereInversionEnabledFalse
49 && aux.i >= fractal->transformCommon.startIterationsX
50 && aux.i < fractal->transformCommon.stopIterations1)
51 {
52 z += fractal->transformCommon.offset000;
53 double rr = z.Dot(z);
54 z *= fractal->transformCommon.scaleG1 / rr;
55 aux.DE *= (fractal->transformCommon.scaleG1 / rr);
56 z += fractal->transformCommon.additionConstant000 - fractal->transformCommon.offset000;
57 z *= fractal->transformCommon.scaleA1;
58 aux.DE *= fractal->transformCommon.scaleA1;
59 }
60
61 if (aux.i < fractal->transformCommon.int8X)
62 {
63 CVector4 oldZ = z;
64 z.x = fabs(z.x + fractal->transformCommon.additionConstant111.x)
65 - fabs(z.x - fractal->transformCommon.additionConstant111.x) - z.x;
66 z.y = fabs(z.y + fractal->transformCommon.additionConstant111.y)
67 - fabs(z.y - fractal->transformCommon.additionConstant111.y) - z.y;
68
69 if (fractal->transformCommon.functionEnabledIFalse
70 && aux.i >= fractal->transformCommon.startIterationsI
71 && aux.i < fractal->transformCommon.stopIterationsI)
72 {
73 double tt = z.x;
74 z.x = z.y;
75 z.y = tt;
76 }
77
78 if (fractal->transformCommon.functionEnabledJFalse
79 && aux.i >= fractal->transformCommon.startIterationsJ
80 && aux.i < fractal->transformCommon.stopIterationsJ)
81 {
82 z.z = fabs(z.z + fractal->transformCommon.additionConstant111.z)
83 - fabs(z.z - fractal->transformCommon.additionConstant111.z) - z.z;
84 }
85 else
86 {
87 double tt = z.y;
88 z.y = z.z;
89 z.z = tt;
90 }
91 if (fractal->transformCommon.functionEnabledSwFalse
92 && aux.i >= fractal->transformCommon.startIterationsH
93 && aux.i < fractal->transformCommon.stopIterationsH)
94 {
95 double tt = z.x;
96 z.x = z.y;
97 z.y = tt;
98 }
99 CVector4 zCol = z;
100
101 double rr = z.Dot(z);
102 double MinRR = fractal->transformCommon.minR0;
103 double dividend = rr < MinRR ? MinRR : min(rr, 1.0);
104
105 // scale
106 double useScale = 1.0;
107 useScale = (aux.actualScaleA + fractal->transformCommon.scale1) / dividend;
108 z *= useScale;
109 aux.DE = aux.DE * fabs(useScale) + fractal->analyticDE.offset1;
110 if (fractal->transformCommon.functionEnabledKFalse
111 && aux.i >= fractal->transformCommon.startIterationsK
112 && aux.i < fractal->transformCommon.stopIterationsK)
113 {
114 // update actualScaleA for next iteration
115 double vary = fractal->transformCommon.scaleVary0
116 * (fabs(aux.actualScaleA) - fractal->transformCommon.scaleC1);
117 aux.actualScaleA -= vary;
118 }
119
120 if (fractal->transformCommon.rotation2EnabledFalse)
121 {
122 z = fractal->transformCommon.rotationMatrix.RotateVector(z);
123 }
124 if (aux.i >= fractal->transformCommon.startIterationsO
125 && aux.i < fractal->transformCommon.stopIterationsO)
126 z += fractal->transformCommon.additionConstantA000;
127
128 if (fractal->foldColor.auxColorEnabledFalse)
129 {
130 double colorAdd = 0.0;
131 if (zCol.x != oldZ.x)
132 colorAdd += fractal->foldColor.difs0000.x
133 * (fabs(zCol.x) - fractal->transformCommon.additionConstant111.x);
134 if (zCol.y != oldZ.y)
135 colorAdd += fractal->foldColor.difs0000.y
136 * (fabs(zCol.y) - fractal->transformCommon.additionConstant111.y);
137 if (zCol.z != oldZ.z)
138 colorAdd += fractal->foldColor.difs0000.z
139 * (fabs(zCol.z) - fractal->transformCommon.additionConstant111.z);
140 colorAdd += fractal->foldColor.difs0000.w * useScale;
141 aux.color += colorAdd;
142 }
143 }
144 else
145 {
146 if (fractal->transformCommon.functionEnabled)
147 {
148 z = fabs(z + fractal->transformCommon.offset110)
149 - fabs(z - fractal->transformCommon.offset110) - z;
150
151 z *= fractal->transformCommon.scale2;
152 aux.DE *= fractal->transformCommon.scale2;
153
154 z += fractal->transformCommon.offsetA000;
155 }
156 }
157 }
158