/**
 * 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%+++
 *
 * reference: eiifie paxis2 https://www.shadertoy.com/view/XlSGDc
 * paxis idea from dila originally at https://www.shadertoy.com/view/Xlj3DK
 */

#include "all_fractal_definitions.h"

cFractalOctahedron::cFractalOctahedron() : cAbstractFractal()
{
	nameInComboBox = "Octahedron";
	internalName = "octahedron";
	internalID = fractal::octahedron;
	DEType = analyticDEType;
	DEFunctionType = customDEFunction;
	cpixelAddition = cpixelDisabledByDefault;
	defaultBailout = 10.0;
	DEAnalyticFunction = analyticFunctionCustomDE;
	coloringFunction = coloringFunctionDefault;
}

void cFractalOctahedron::FormulaCode(CVector4 &z, const sFractal *fractal, sExtendedAux &aux)
{
	if (aux.i >= fractal->transformCommon.startIterationsD
			&& aux.i < fractal->transformCommon.stopIterationsD1)
	{
		CVector4 a;
		double colorAdd = 0.0;
		double b = 1.0;
		double d;
		double limitA = fractal->transformCommon.offset0;
		double limitB = fractal->transformCommon.offsetA0;

		for (int i = 0; i < fractal->transformCommon.int3X; i++)
		{
			double sizer1 = fractal->transformCommon.scale1 * b;
			a = fabs(z);
			z.x -= sign(z.x) * max(1.0 * sign(a.x - max(a.y, a.z)), limitA) * sizer1;
			z.y -= sign(z.y) * max(1.0 * sign(a.y - max(a.z, a.x)), limitA) * sizer1;
			z.z -= sign(z.z) * max(1.0 * sign(a.z - max(a.x, a.y)), limitA) * sizer1;
			b *= fractal->transformCommon.scale05;
		}

		d = z.Length() - fractal->transformCommon.minR2p25;
		for (int i = 0; i < fractal->transformCommon.int3Y; i++)
		{
			double sizer2 = fractal->transformCommon.scaleA1 * b;
			a = fabs(z);
			z.x -= sign(z.x) * max(1.0 * sign(a.x - min(a.y, a.z)), limitB) * sizer2;
			z.y -= sign(z.y) * max(1.0 * sign(a.y - min(a.z, a.x)), limitB) * sizer2;
			z.z -= sign(z.z) * max(1.0 * sign(a.z - min(a.x, a.y)), limitB) * sizer2;
			b *= fractal->transformCommon.minR05;
			colorAdd += z.Dot(z);
		}
		z *= fractal->transformCommon.scaleC1;
		aux.DE *= fractal->transformCommon.scaleC1;
		a = fabs(z);

		double d2;

		if (!fractal->transformCommon.functionEnabledFalse)
			d2 = max(a.x, max(a.y, a.z)) - b * fractal->transformCommon.scaleD1;
		else
			d2 = a.Length() - b * fractal->transformCommon.scaleD1;

		d2 = max(d2, -d) / fabs(aux.DE);

		if (!fractal->transformCommon.functionEnabledAFalse)
			aux.dist = d2;
		else
			aux.dist = min(aux.dist, d2);

		// aux.color
		if (fractal->foldColor.auxColorEnabledFalse)
		{
			colorAdd = fractal->foldColor.difs0000.x * colorAdd;
			colorAdd += fractal->foldColor.difs0000.y * max(a.x, max(a.y, a.z));
			colorAdd += fractal->foldColor.difs0000.z * a.Length();
			colorAdd += fractal->foldColor.difs0000.w * d;
			aux.color += colorAdd * 100.0;
		}
	}
}