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 * MsltoeSym2Mod based on the formula from Mandelbulb3D
10 * @reference http://www.fractalforums.com/theory/choosing-the-squaring-formula-by-location/15/
11
12 * This file has been autogenerated by tools/populateUiInformation.php
13 * from the file "fractal_msltoe_sym2_mod.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 MsltoeSym2ModIteration(REAL4 z, __constant sFractalCl *fractal, sExtendedAuxCl *aux)
18{
19	REAL4 c = aux->const_c;
20
21	aux->DE = aux->DE * 2.0f * aux->r;
22	REAL4 temp = z;
23
24	if (fabs(z.y) < fabs(z.z)) // then swap
25	{
26		z.y = temp.z; // making z.y furthest away from axis
27		z.z = temp.y;
28	}
29	if (z.y > z.z) // then change sign of z.x and z.z
30	{
31		z.x = -z.x;
32	}
33
34	REAL4 z2 = z * z;								// squares
35	REAL v3 = (z2.x + z2.y + z2.z); // sum of squares
36	// if (v3 < 1e-21f && v3 > -1e-21f)
37	//	v3 = (v3 > 0) ? 1e-21f : -1e-21f;
38	REAL zr = 1.0f - z2.z / v3;
39	temp.x = (z2.x - z2.y) * zr;
40	temp.y = 2.0f * z.x * z.y * zr * fractal->transformCommon.scale; // scaling temp.y
41	temp.z = 2.0f * z.z * native_sqrt(z2.x + z2.y);
42	z = temp + fractal->transformCommon.additionConstant000;
43
44	if (fractal->transformCommon.addCpixelEnabledFalse)
45	{
46		REAL4 tempFAB = c;
47		if (fractal->transformCommon.functionEnabledx) tempFAB.x = fabs(tempFAB.x);
48		if (fractal->transformCommon.functionEnabledy) tempFAB.y = fabs(tempFAB.y);
49		if (fractal->transformCommon.functionEnabledz) tempFAB.z = fabs(tempFAB.z);
50
51		tempFAB *= fractal->transformCommon.constantMultiplier000;
52
53		z.x += sign(z.x) * tempFAB.x;
54		z.y += sign(z.y) * tempFAB.y;
55		z.z += sign(z.z) * tempFAB.z;
56	}
57
58	REAL lengthTempZ = -length(z);
59	// if (lengthTempZ > -1e-21f)
60	//	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	return z;
65}