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 * from Syntopia & DarkBeam's Menger4 code from M3D 10 * @reference 11 * http://www.fractalforums.com/mandelbulb-3d/custom-formulas-and-transforms-release-t17106/ 12 13 * This file has been autogenerated by tools/populateUiInformation.php 14 * from the file "fractal_menger4d.cpp" in the folder formula/definition 15 * D O N O T E D I T T H I S F I L E ! 16 */ 17 18REAL4 Menger4dIteration(REAL4 z, __constant sFractalCl *fractal, sExtendedAuxCl *aux) 19{ 20 if (aux->i >= fractal->transformCommon.startIterationsC 21 && aux->i < fractal->transformCommon.stopIterationsC) 22 { 23 z += fractal->transformCommon.additionConstant0000; // offset 24 } 25 26 z = fabs(z); 27 if (z.x - z.y < 0.0f) 28 { 29 REAL temp = z.y; 30 z.y = z.x; 31 z.x = temp; 32 } 33 if (z.x - z.z < 0.0f) 34 { 35 REAL temp = z.z; 36 z.z = z.x; 37 z.x = temp; 38 } 39 if (z.y - z.z < 0.0f) 40 { 41 REAL temp = z.z; 42 z.z = z.y; 43 z.y = temp; 44 } 45 if (z.x - z.w < 0.0f) 46 { 47 REAL temp = z.w; 48 z.w = z.x; 49 z.x = temp; 50 } 51 if (z.y - z.w < 0.0f) 52 { 53 REAL temp = z.w; 54 z.w = z.y; 55 z.y = temp; 56 } 57 if (z.z - z.w < 0.0f) 58 { 59 REAL temp = z.w; 60 z.w = z.z; 61 z.z = temp; 62 } 63 64 // 6 plane rotation 65 if (fractal->transformCommon.functionEnabledRFalse 66 && aux->i >= fractal->transformCommon.startIterationsR 67 && aux->i < fractal->transformCommon.stopIterationsR) 68 { 69 REAL4 tp; 70 if (fractal->transformCommon.rotation44a.x != 0) 71 { 72 tp = z; 73 REAL alpha = fractal->transformCommon.rotation44a.x * M_PI_180_F; 74 z.x = tp.x * native_cos(alpha) + tp.y * native_sin(alpha); 75 z.y = tp.x * -native_sin(alpha) + tp.y * native_cos(alpha); 76 } 77 if (fractal->transformCommon.rotation44a.y != 0) 78 { 79 tp = z; 80 REAL beta = fractal->transformCommon.rotation44a.y * M_PI_180_F; 81 z.y = tp.y * native_cos(beta) + tp.z * native_sin(beta); 82 z.z = tp.y * -native_sin(beta) + tp.z * native_cos(beta); 83 } 84 if (fractal->transformCommon.rotation44a.z != 0) 85 { 86 tp = z; 87 REAL gamma = fractal->transformCommon.rotation44a.z * M_PI_180_F; 88 z.x = tp.x * native_cos(gamma) + tp.z * native_sin(gamma); 89 z.z = tp.x * -native_sin(gamma) + tp.z * native_cos(gamma); 90 } 91 if (fractal->transformCommon.rotation44b.x != 0) 92 { 93 tp = z; 94 REAL delta = fractal->transformCommon.rotation44b.x * M_PI_180_F; 95 z.x = tp.x * native_cos(delta) + tp.w * native_sin(delta); 96 z.w = tp.x * -native_sin(delta) + tp.w * native_cos(delta); 97 } 98 if (fractal->transformCommon.rotation44b.y != 0) 99 { 100 tp = z; 101 REAL epsilon = fractal->transformCommon.rotation44b.y * M_PI_180_F; 102 z.y = tp.y * native_cos(epsilon) + tp.w * native_sin(epsilon); 103 z.w = tp.y * -native_sin(epsilon) + tp.w * native_cos(epsilon); 104 } 105 if (fractal->transformCommon.rotation44b.z != 0) 106 { 107 tp = z; 108 REAL zeta = fractal->transformCommon.rotation44b.z * M_PI_180_F; 109 z.z = tp.z * native_cos(zeta) + tp.w * native_sin(zeta); 110 z.w = tp.z * -native_sin(zeta) + tp.w * native_cos(zeta); 111 } 112 } 113 114 REAL scaleM = fractal->transformCommon.scale3; 115 REAL4 offsetM = fractal->transformCommon.additionConstant111d5; 116 z.x = scaleM * z.x - offsetM.x; 117 z.y = scaleM * z.y - offsetM.y; 118 z.w = scaleM * z.w - offsetM.w; 119 z.z -= 0.5f * offsetM.z / scaleM; 120 z.z = -fabs(-z.z); 121 z.z += 0.5f * offsetM.z / scaleM; 122 z.z *= scaleM; 123 aux->DE *= scaleM; 124 125 if (fractal->transformCommon.functionEnabledSFalse 126 && aux->i >= fractal->transformCommon.startIterationsS 127 && aux->i < fractal->transformCommon.stopIterationsS) 128 { 129 REAL r2 = dot(z, z); 130 // if (r2 < 1e-21f && r2 > -1e-21f) r2 = (r2 > 0) ? 1e-21f : -1e-21f; 131 132 if (r2 < fractal->transformCommon.minR2p25) 133 { 134 z *= fractal->transformCommon.maxMinR2factor; 135 aux->DE *= fractal->transformCommon.maxMinR2factor; 136 aux->color += fractal->mandelbox.color.factorSp1; 137 } 138 else if (r2 < fractal->transformCommon.maxR2d1) 139 { 140 REAL tglad_factor2 = fractal->transformCommon.maxR2d1 / r2; 141 z *= tglad_factor2; 142 aux->DE *= tglad_factor2; 143 aux->color += fractal->mandelbox.color.factorSp2; 144 } 145 } 146 147 if (fractal->transformCommon.functionEnabledFalse) 148 { 149 REAL4 zA4 = (aux->i == fractal->transformCommon.intA) ? z : (REAL4){0, 0, 0, 0}; 150 REAL4 zB4 = (aux->i == fractal->transformCommon.intB) ? z : (REAL4){0, 0, 0, 0}; 151 152 z = (z * fractal->transformCommon.scale) + (zA4 * fractal->transformCommon.offset) 153 + (zB4 * fractal->transformCommon.offset0); 154 aux->DE *= fractal->transformCommon.scale1; 155 } 156 157 aux->DE *= fractal->analyticDE.scale1; 158 return z; 159}