/**
 * Mandelbulber v2, a 3D fractal generator  _%}}i*<.        ____                _______
 * Copyright (C) 2021 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%+++
 *
 * Menger Sponge Polynomial Hybrid modified by Mclarekin

 * This file has been autogenerated by tools/populateUiInformation.php
 * from the file "fractal_menger_pwr2_poly.cpp" in the folder formula/definition
 * D O    N O T    E D I T    T H I S    F I L E !
 */

REAL4 MengerPwr2PolyIteration(REAL4 z, __constant sFractalCl *fractal, sExtendedAuxCl *aux)
{
	REAL4 c = aux->const_c;

	if (aux->i >= fractal->transformCommon.startIterations
			&& aux->i < fractal->transformCommon.stopIterations1)
	{
		REAL4 partA = z;
		if (fractal->transformCommon.functionEnabledFalse) // fabs
			partA = fabs(z);
		if (fractal->transformCommon.functionEnabledxFalse) // pwr3 or z * fabs(z^2)
			partA *= z;
		partA =
			partA * fractal->transformCommon.scale2 + fractal->transformCommon.constantMultiplier111;

		REAL4 fnZ1 = z;

		if (fractal->transformCommon.functionEnabledBxFalse) // native_cos(z*Pi)
		{
			REAL scalePi = M_PI_F * fractal->transformCommon.scaleC1;
			fnZ1.x = native_cos(z.x * scalePi);
			fnZ1.y = native_cos(z.y * scalePi);
			fnZ1.z = native_cos(z.z * scalePi);
		}

		if (fractal->transformCommon.functionEnabledyFalse) // pi rotation
			fnZ1 = RotateAroundVectorByAngle4(fnZ1, fractal->transformCommon.constantMultiplier111.xyz,
				M_PI_F * fractal->transformCommon.scaleB1);

		if (fractal->transformCommon.functionEnabledzFalse) // box offset
		{
			fnZ1.x = (sign(fnZ1.x) * fractal->transformCommon.additionConstant000.x) + fnZ1.x;
			fnZ1.y = (sign(fnZ1.y) * fractal->transformCommon.additionConstant000.y) + fnZ1.y;
			fnZ1.z = (sign(fnZ1.z) * fractal->transformCommon.additionConstant000.z) + fnZ1.z;
		}

		if (fractal->transformCommon.functionEnabledAxFalse) // fabs(fnZ1)
			fnZ1 = fabs(fnZ1);
		REAL4 partB = z;
		if (fractal->transformCommon.functionEnabledAzFalse) partB = fabs(z);
		partB *= fractal->transformCommon.scale4;
		REAL4 constantMult = (REAL4){fractal->transformCommon.constantMultiplierB111.x,
			fractal->transformCommon.constantMultiplierB111.y,
			fractal->transformCommon.constantMultiplierB111.z, 0.0f};
		z = constantMult + partB - partA * fnZ1;
		z *= fractal->transformCommon.scale025;
		aux->DE = aux->DE * 4.0f * fractal->analyticDE.scale1 + fractal->analyticDE.offset1;
	}
	if (fractal->transformCommon.addCpixelEnabledFalse)
	{
		REAL4 tempC = c;
		if (fractal->transformCommon.alternateEnabledFalse) // alternate
		{
			tempC = aux->c;
			switch (fractal->mandelbulbMulti.orderOfXYZC)
			{
				case multi_OrderOfXYZCl_xyz:
				default: tempC = (REAL4){tempC.x, tempC.y, tempC.z, tempC.w}; break;
				case multi_OrderOfXYZCl_xzy: tempC = (REAL4){tempC.x, tempC.z, tempC.y, tempC.w}; break;
				case multi_OrderOfXYZCl_yxz: tempC = (REAL4){tempC.y, tempC.x, tempC.z, tempC.w}; break;
				case multi_OrderOfXYZCl_yzx: tempC = (REAL4){tempC.y, tempC.z, tempC.x, tempC.w}; break;
				case multi_OrderOfXYZCl_zxy: tempC = (REAL4){tempC.z, tempC.x, tempC.y, tempC.w}; break;
				case multi_OrderOfXYZCl_zyx: tempC = (REAL4){tempC.z, tempC.y, tempC.x, tempC.w}; break;
			}
			aux->c = tempC;
		}
		else
		{
			switch (fractal->mandelbulbMulti.orderOfXYZC)
			{
				case multi_OrderOfXYZCl_xyz:
				default: tempC = (REAL4){c.x, c.y, c.z, c.w}; break;
				case multi_OrderOfXYZCl_xzy: tempC = (REAL4){c.x, c.z, c.y, c.w}; break;
				case multi_OrderOfXYZCl_yxz: tempC = (REAL4){c.y, c.x, c.z, c.w}; break;
				case multi_OrderOfXYZCl_yzx: tempC = (REAL4){c.y, c.z, c.x, c.w}; break;
				case multi_OrderOfXYZCl_zxy: tempC = (REAL4){c.z, c.x, c.y, c.w}; break;
				case multi_OrderOfXYZCl_zyx: tempC = (REAL4){c.z, c.y, c.x, c.w}; break;
			}
		}
		z += tempC * fractal->transformCommon.constantMultiplierC111;
	}

	int count = fractal->transformCommon.int1; // Menger Sponge
	int k;
	for (k = 0; k < count; k++)
	{
		z = fabs(z);
		if (z.x < z.y)
		{
			REAL temp = z.y;
			z.y = z.x;
			z.x = temp;
		}
		if (z.x < z.z)
		{
			REAL temp = z.z;
			z.z = z.x;
			z.x = temp;
		}
		if (z.y < z.z)
		{
			REAL temp = z.z;
			z.z = z.y;
			z.y = temp;
		}
		z *= fractal->transformCommon.scale3;
		z.x -= 2.0f * fractal->transformCommon.constantMultiplierA111.x;
		z.y -= 2.0f * fractal->transformCommon.constantMultiplierA111.y;
		if (z.z > 1.0f) z.z -= 2.0f * fractal->transformCommon.constantMultiplierA111.z;

		aux->DE *= fractal->transformCommon.scale3;

		if (fractal->transformCommon.rotationEnabled
				&& aux->i >= fractal->transformCommon.startIterationsA
				&& aux->i < fractal->transformCommon.stopIterationsA) // rotation
		{
			z = Matrix33MulFloat4(fractal->transformCommon.rotationMatrix, z);
		}
		z += fractal->transformCommon.additionConstantA000;
	}
	return z;
}