/**
 * Mandelbulber v2, a 3D fractal generator  _%}}i*<.        ____                _______
 * Copyright (C) 2017 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%+++
 *
 * benesi mag forward
 * @reference
 * http://www.fractalforums.com/new-theories-and-research/do-m3d-formula-have-to-be-distance-estimation-formulas/

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

REAL4 TransfBenesiMagForwardIteration(REAL4 z, __constant sFractalCl *fractal, sExtendedAuxCl *aux)
{
	Q_UNUSED(fractal);
	Q_UNUSED(aux);

	REAL tempXZ = mad(z.x, SQRT_2_3, -z.z * SQRT_1_3);
	z = (REAL4){
		(tempXZ - z.y) * SQRT_1_2, (tempXZ + z.y) * SQRT_1_2, z.x * SQRT_1_3 + z.z * SQRT_2_3, z.w};
	return z;
}