1/**
2 * Mandelbulber v2, a 3D fractal generator  _%}}i*<.        ____                _______
3 * Copyright (C) 2021 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 * DifsSphereIteration  fragmentarium code, mdifs by knighty (jan 2012)
10 * and http://www.iquilezles.org/www/articles/distfunctions/distfunctions.htm
11
12 * This file has been autogenerated by tools/populateUiInformation.php
13 * from the file "fractal_difs_sphere.cpp" in the folder formula/definition
14 * D O    N O T    E D I T    T H I S    F I L E !
15 */
16
17REAL4 DIFSSphereIteration(REAL4 z, __constant sFractalCl *fractal, sExtendedAuxCl *aux)
18{
19	REAL colorAdd = 0.0f;
20	REAL4 oldZ = z;
21	REAL4 boxFold = fractal->transformCommon.additionConstantA111;
22
23	// abs z
24	if (fractal->transformCommon.functionEnabledAx
25			&& aux->i >= fractal->transformCommon.startIterationsX
26			&& aux->i < fractal->transformCommon.stopIterationsX)
27		z.x = fabs(z.x);
28
29	if (fractal->transformCommon.functionEnabledAy
30			&& aux->i >= fractal->transformCommon.startIterationsY
31			&& aux->i < fractal->transformCommon.stopIterationsY)
32		z.y = fabs(z.y);
33
34	if (fractal->transformCommon.functionEnabledAzFalse
35			&& aux->i >= fractal->transformCommon.startIterationsZ
36			&& aux->i < fractal->transformCommon.stopIterationsZ)
37		z.z = fabs(z.z);
38
39	if (fractal->transformCommon.functionEnabledFalse)
40	{
41		// xy box fold
42		if (fractal->transformCommon.functionEnabledAFalse
43				&& aux->i >= fractal->transformCommon.startIterationsA
44				&& aux->i < fractal->transformCommon.stopIterationsA)
45		{
46			z.x -= boxFold.x;
47			z.y -= boxFold.y;
48		}
49		// xyz box fold
50		if (fractal->transformCommon.functionEnabledBFalse
51				&& aux->i >= fractal->transformCommon.startIterationsB
52				&& aux->i < fractal->transformCommon.stopIterationsB)
53			z -= boxFold;
54
55		// polyfold
56		if (fractal->transformCommon.functionEnabledPFalse
57				&& aux->i >= fractal->transformCommon.startIterationsP
58				&& aux->i < fractal->transformCommon.stopIterationsP)
59		{
60			z.x = fabs(z.x);
61			REAL psi = M_PI_F / fractal->transformCommon.int6;
62			psi = fabs(fmod(atan2(z.y, z.x) + psi, 2.0f * psi) - psi);
63			REAL len = native_sqrt(z.x * z.x + z.y * z.y);
64			z.x = native_cos(psi) * len;
65			z.y = native_sin(psi) * len;
66		}
67		// diag fold1
68		if (fractal->transformCommon.functionEnabledCxFalse
69				&& aux->i >= fractal->transformCommon.startIterationsCx
70				&& aux->i < fractal->transformCommon.stopIterationsCx)
71			if (z.x > z.y)
72			{
73				REAL temp = z.x;
74				z.x = z.y;
75				z.y = temp;
76			}
77		// abs offsets
78		if (fractal->transformCommon.functionEnabledCFalse
79				&& aux->i >= fractal->transformCommon.startIterationsC
80				&& aux->i < fractal->transformCommon.stopIterationsC)
81		{
82			REAL xOffset = fractal->transformCommon.offsetC0;
83			if (z.x < xOffset) z.x = fabs(z.x - xOffset) + xOffset;
84		}
85		if (fractal->transformCommon.functionEnabledDFalse
86				&& aux->i >= fractal->transformCommon.startIterationsD
87				&& aux->i < fractal->transformCommon.stopIterationsD)
88		{
89			REAL yOffset = fractal->transformCommon.offsetD0;
90			if (z.y < yOffset) z.y = fabs(z.y - yOffset) + yOffset;
91		}
92		// diag fold2
93		if (fractal->transformCommon.functionEnabledCyFalse
94				&& aux->i >= fractal->transformCommon.startIterationsCy
95				&& aux->i < fractal->transformCommon.stopIterationsCy)
96			if (z.x > z.y)
97			{
98				REAL temp = z.x;
99				z.x = z.y;
100				z.y = temp;
101			}
102	}
103
104	// reverse offset part 1
105	if (aux->i >= fractal->transformCommon.startIterationsE
106			&& aux->i < fractal->transformCommon.stopIterationsE)
107		z.x -= fractal->transformCommon.offsetE2;
108
109	if (aux->i >= fractal->transformCommon.startIterationsF
110			&& aux->i < fractal->transformCommon.stopIterationsF)
111		z.y -= fractal->transformCommon.offsetF2;
112
113	// scale
114	REAL useScale = 1.0f;
115	if (aux->i >= fractal->transformCommon.startIterationsS
116			&& aux->i < fractal->transformCommon.stopIterationsS)
117	{
118		useScale = aux->actualScaleA + fractal->transformCommon.scale2;
119		z *= useScale;
120		aux->DE = aux->DE * fabs(useScale) + 1.0f;
121		// scale vary
122		if (fractal->transformCommon.functionEnabledKFalse
123				&& aux->i >= fractal->transformCommon.startIterationsK
124				&& aux->i < fractal->transformCommon.stopIterationsK)
125		{
126			// update actualScaleA for next iteration
127			REAL vary = fractal->transformCommon.scaleVary0
128									* (fabs(aux->actualScaleA) - fractal->transformCommon.scaleC1);
129			aux->actualScaleA -= vary;
130		}
131	}
132
133	// reverse offset part 2
134	if (aux->i >= fractal->transformCommon.startIterationsE
135			&& aux->i < fractal->transformCommon.stopIterationsE)
136		z.x += fractal->transformCommon.offsetE2;
137
138	if (aux->i >= fractal->transformCommon.startIterationsF
139			&& aux->i < fractal->transformCommon.stopIterationsF)
140		z.y += fractal->transformCommon.offsetF2;
141
142	// offset
143	z += fractal->transformCommon.offset001;
144
145	// rotation
146	if (fractal->transformCommon.functionEnabledRFalse
147			&& aux->i >= fractal->transformCommon.startIterationsR
148			&& aux->i < fractal->transformCommon.stopIterationsR)
149	{
150		z = Matrix33MulFloat4(fractal->transformCommon.rotationMatrix, z);
151	}
152
153	// DE
154	REAL colorDist = aux->dist;
155	REAL4 zc = oldZ;
156
157	// sphere
158	if (aux->i >= fractal->transformCommon.startIterations
159			&& aux->i < fractal->transformCommon.stopIterations)
160	{
161		REAL vecLen;
162		if (!fractal->transformCommon.functionEnabled4dFalse)
163		{
164			REAL3 vec3 = (REAL3){zc.x, zc.y, zc.z};
165			vecLen = length(vec3);
166		}
167		else
168			vecLen = length(zc);
169
170		REAL spD = vecLen - fractal->transformCommon.offsetR1;
171		aux->dist = min(aux->dist, spD / aux->DE);
172	}
173	// torus
174	if (fractal->transformCommon.functionEnabledTFalse
175			&& aux->i >= fractal->transformCommon.startIterationsT
176			&& aux->i < fractal->transformCommon.stopIterationsT)
177	{
178		REAL torD;
179
180		// swap axis
181		if (fractal->transformCommon.functionEnabledSwFalse)
182		{
183			REAL temp = zc.x;
184			zc.x = zc.z;
185			zc.z = temp;
186		}
187
188		REAL T1 = native_sqrt(zc.y * zc.y + zc.x * zc.x) - fractal->transformCommon.offsetT1;
189		torD = native_sqrt(T1 * T1 + zc.z * zc.z) - fractal->transformCommon.offset05;
190
191		aux->dist = min(aux->dist, torD / aux->DE);
192	}
193
194	// aux->color
195	if (fractal->foldColor.auxColorEnabled)
196	{
197		if (fractal->foldColor.auxColorEnabledFalse)
198		{
199			colorAdd += fractal->foldColor.difs0000.x * fabs(z.x * z.y);
200			colorAdd += fractal->foldColor.difs0000.y * max(z.x, z.y);
201		}
202		colorAdd += fractal->foldColor.difs1;
203		if (fractal->foldColor.auxColorEnabledA)
204		{
205			if (colorDist != aux->dist) aux->color += colorAdd;
206		}
207		else
208			aux->color += colorAdd;
209	}
210	return z;
211}