/**
 * Mandelbulber v2, a 3D fractal generator  _%}}i*<.        ____                _______
 * Copyright (C) 2020 Mandelbulber Team   _>]|=||i=i<,     / __ \___  ___ ___  / ___/ /
 *                                        \><||i|=>>%)    / /_/ / _ \/ -_) _ \/ /__/ /__
 * This file is part of Mandelbulber.     )<=i=]=|=i<>    \____/ .__/\__/_//_/\___/____/
 * The project is licensed under GPLv3,   -<>>=|><|||`        /_/
 * see also COPYING file in this folder.    ~+{i%+++
 *
 * MsltoeSym4Mod  Based on the formula from Mandelbulb3D
 * @reference http://www.fractalforums.com/theory/choosing-the-squaring-formula-by-location/15/
 * This formula contains aux.color

 * This file has been autogenerated by tools/populateUiInformation.php
 * from the file "fractal_msltoe_sym4_mod.cpp" in the folder formula/definition
 * D O    N O T    E D I T    T H I S    F I L E !
 */

REAL4 MsltoeSym4ModIteration(REAL4 z, __constant sFractalCl *fractal, sExtendedAuxCl *aux)
{
	REAL4 c = aux->const_c;
	REAL4 oldZ = z;
	aux->DE = aux->DE * 2.0f * aux->r;

	if (fabs(z.x) < fabs(z.z) * fractal->transformCommon.constantMultiplier111.x)
	{
		REAL temp = z.x;
		z.x = z.z;
		z.z = temp;
	}
	if (fabs(z.x) < fabs(z.y) * fractal->transformCommon.constantMultiplier111.y)
	{
		REAL temp = z.x;
		z.x = z.y;
		z.y = temp;
	}
	if (fabs(z.y) < fabs(z.z) * fractal->transformCommon.constantMultiplier111.z)
	{
		REAL temp = z.y;
		z.y = z.z;
		z.z = temp;
	}

	if (fractal->foldColor.auxColorEnabledFalse)
	{
		if (z.x != oldZ.x) aux->color += fractal->mandelbox.color.factor.x;
		if (z.y != oldZ.y) aux->color += fractal->mandelbox.color.factor.y;
		if (z.z != oldZ.z) aux->color += fractal->mandelbox.color.factor.z;
	}
	if (z.x * z.z < 0.0f) z.z = -z.z;
	if (z.x * z.y < 0.0f) z.y = -z.y;

	z *= fractal->transformCommon.scale3D111;
	aux->DE *= length(z) / aux->r;

	REAL4 temp = z;
	temp.x = z.x * z.x - z.y * z.y - z.z * z.z;
	temp.y = 2.0f * z.x * z.y;
	temp.z = 2.0f * z.x * z.z;

	z = temp + fractal->transformCommon.additionConstant000;

	if (fractal->transformCommon.rotationEnabled)
	{
		z = Matrix33MulFloat4(fractal->transformCommon.rotationMatrix, z);
	}

	REAL lengthTempZ = -length(z);
	// if (lengthTempZ > -1e-21f)
	//	lengthTempZ = -1e-21f;   //  z is neg.)
	z *= 1.0f + fractal->transformCommon.offset / lengthTempZ;
	z *= fractal->transformCommon.scale1;
	aux->DE *= fabs(fractal->transformCommon.scale1);

	if (fractal->transformCommon.addCpixelEnabledFalse)
	{
		REAL4 tempFAB = c;
		if (fractal->transformCommon.functionEnabledx) tempFAB.x = fabs(tempFAB.x);
		if (fractal->transformCommon.functionEnabledy) tempFAB.y = fabs(tempFAB.y);
		if (fractal->transformCommon.functionEnabledz) tempFAB.z = fabs(tempFAB.z);

		tempFAB *= fractal->transformCommon.constantMultiplier000;
		z.x += sign(z.x) * tempFAB.x;
		z.y += sign(z.y) * tempFAB.y;
		z.z += sign(z.z) * tempFAB.z;
	}
	return z;
}