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 * MsltoeJuliaBulb Eiffie. Refer post by Eiffie    Reply #69 on: January 27, 2015
10 * @reference http://www.fractalforums.com/theory/choosing-the-squaring-formula-by-location/60/
11
12 * This file has been autogenerated by tools/populateUiInformation.php
13 * from the file "fractal_msltoe_sym3_mod5.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 MsltoeSym3Mod5Iteration(REAL4 z, __constant sFractalCl *fractal, sExtendedAuxCl *aux)
18{
19	REAL4 c = aux->const_c;
20	aux->DE = aux->DE * 2.0f * aux->r;
21
22	REAL psi = fractal->transformCommon.int8Y;
23	if (fractal->transformCommon.functionEnabledBFalse
24			&& aux->i >= fractal->transformCommon.startIterationsB
25			&& aux->i < fractal->transformCommon.stopIterationsB)
26	{
27		psi += fractal->transformCommon.int1;
28	}
29	psi = M_PI_F / psi;
30	psi = fabs(fmod(atan2(z.z, z.y) + M_PI_F + psi, 2.0f * psi) - psi);
31	REAL len = native_sqrt(z.y * z.y + z.z * z.z);
32	z.y = native_cos(psi) * len;
33	z.z = native_sin(psi) * len;
34
35	REAL4 z2 = z * z;
36	REAL rr = z2.x + z2.y + z2.z;
37	REAL m = 1.0f - z2.z / rr;
38	REAL4 temp;
39	temp.x = (z2.x - z2.y) * m * fractal->transformCommon.scaleB1;
40	temp.y = 2.0f * z.x * z.y * m * fractal->transformCommon.scale; // scaling y;
41	temp.z = 2.0f * z.z * native_sqrt(z2.x + z2.y);
42	temp.w = z.w;
43	z = temp + fractal->transformCommon.additionConstantNeg100;
44
45	if (fractal->transformCommon.addCpixelEnabledFalse
46			&& aux->i >= fractal->transformCommon.startIterationsC
47			&& aux->i < fractal->transformCommon.stopIterationsC)
48	{
49		REAL4 tempFAB = c;
50		if (fractal->transformCommon.functionEnabledx) tempFAB.x = fabs(tempFAB.x);
51		if (fractal->transformCommon.functionEnabledy) tempFAB.y = fabs(tempFAB.y);
52		if (fractal->transformCommon.functionEnabledz) tempFAB.z = fabs(tempFAB.z);
53
54		tempFAB *= fractal->transformCommon.constantMultiplier000;
55		z.x += sign(z.x) * tempFAB.x;
56		z.y += sign(z.y) * tempFAB.y;
57		z.z += sign(z.z) * tempFAB.z;
58	}
59	REAL lengthTempZ = -length(z);
60	// if (lengthTempZ > -1e-21f) lengthTempZ = -1e-21f;   //  z is neg.)
61	z *= 1.0f + fractal->transformCommon.offset / lengthTempZ;
62	z *= fractal->transformCommon.scale1;
63	aux->DE *= fabs(fractal->transformCommon.scale1);
64
65	if (fractal->transformCommon.functionEnabledFalse // quaternion fold
66			&& aux->i >= fractal->transformCommon.startIterationsA
67			&& aux->i < fractal->transformCommon.stopIterationsA)
68	{
69		aux->r = length(z);
70		aux->DE = aux->DE * 2.0f * aux->r;
71		z = (REAL4){z.x * z.x - z.y * z.y - z.z * z.z, z.x * z.y, z.x * z.z, z.w};
72		if (!fractal->transformCommon.functionEnabledTFalse)
73		{
74			z *= (REAL4){1.0f, 2.0f, 2.0f, 1.0f};
75		}
76		else
77		{
78			REAL4 temp = z;
79			REAL tempL = length(temp);
80			z *= (REAL4){1.0f, 2.0f, 2.0f, 1.0f};
81			// if (tempL < 1e-21f)
82			//	tempL = 1e-21f;
83			REAL avgScale = length(z) / tempL;
84			aux->DE *= avgScale;
85		}
86		z.z -= aux->const_c.z * fractal->transformCommon.scaleF1;
87		z.z -= fractal->transformCommon.offset0;
88	}
89	if (fractal->analyticDE.enabledFalse)
90		aux->DE = aux->DE * fractal->analyticDE.scale1 + fractal->analyticDE.offset0;
91	return z;
92}