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 * boxFold4dBulb. 10 * This formula contains aux.color and aux.actualScaleA 11 12 * This file has been autogenerated by tools/populateUiInformation.php 13 * from the file "fractal_box_fold4d_bulb_pow2.cpp" in the folder formula/definition 14 * D O N O T E D I T T H I S F I L E ! 15 */ 16 17REAL4 BoxFold4dBulbPow2Iteration(REAL4 z, __constant sFractalCl *fractal, sExtendedAuxCl *aux) 18{ 19 REAL colorAdd = 0.0f; 20 REAL rrCol = 0.0f; 21 REAL4 zCol = z; 22 REAL4 oldZ = z; 23 24 // parabolic.w = paraOffset + iter *slope + (iter *iter *scale) 25 REAL paraAddP0 = 0.0f; 26 if (fractal->Cpara.enabledParabFalse) 27 { 28 REAL parabScale = 0.0f; 29 if (fractal->Cpara.parabScale != 0.0f) 30 parabScale = aux->i * aux->i * 0.001f * fractal->Cpara.parabScale; 31 paraAddP0 = fractal->Cpara.parabOffset0 + (aux->i * fractal->Cpara.parabSlope) + (parabScale); 32 z.w += paraAddP0; 33 } 34 35 // sinusoidal w 36 REAL sinAdd = 0.0f; 37 if (fractal->transformCommon.functionEnabledDFalse) 38 { 39 sinAdd = 40 native_sin((aux->i + fractal->transformCommon.offset0) / fractal->transformCommon.scaleA1) 41 * fractal->transformCommon.scaleC1; 42 z.w += sinAdd; 43 } 44 45 if (aux->i >= fractal->transformCommon.startIterationsB 46 && aux->i < fractal->transformCommon.stopIterationsB) 47 { 48 oldZ = z; 49 z.x = fabs(z.x + fractal->transformCommon.offset1111.x) 50 - fabs(z.x - fractal->transformCommon.offset1111.x) - z.x; 51 z.y = fabs(z.y + fractal->transformCommon.offset1111.y) 52 - fabs(z.y - fractal->transformCommon.offset1111.y) - z.y; 53 z.z = fabs(z.z + fractal->transformCommon.offset1111.z) 54 - fabs(z.z - fractal->transformCommon.offset1111.z) - z.z; 55 z.w = fabs(z.w + fractal->transformCommon.offset1111.w) 56 - fabs(z.w - fractal->transformCommon.offset1111.w) - z.w; 57 zCol = z; 58 } 59 60 // sph fold 61 if (aux->i >= fractal->transformCommon.startIterationsS 62 && aux->i < fractal->transformCommon.stopIterationsS) 63 { 64 REAL rr = dot(z, z); 65 66 // r power 67 if (fractal->mandelboxVary4D.rPower != 1.0f) 68 rr = native_powr(rr, fractal->mandelboxVary4D.rPower); 69 rrCol = rr; 70 // spherical fold 71 z += fractal->transformCommon.offset0000; 72 if (rr < fractal->transformCommon.minR2p25) 73 { 74 z *= fractal->transformCommon.maxMinR2factor; 75 aux->DE *= fractal->transformCommon.maxMinR2factor; 76 } 77 else if (rr < fractal->transformCommon.maxR2d1) 78 { 79 z *= fractal->transformCommon.maxR2d1 / rr; 80 aux->DE *= fractal->transformCommon.maxR2d1 / rr; 81 } 82 83 z -= fractal->transformCommon.offset0000; 84 } 85 86 // scale 87 REAL useScale = 1.0f; 88 if (aux->i >= fractal->transformCommon.startIterationsC 89 && aux->i < fractal->transformCommon.stopIterationsC) 90 { 91 92 useScale = aux->actualScaleA + fractal->transformCommon.scale; 93 94 z *= useScale; 95 aux->DE = aux->DE * fabs(useScale); 96 97 if (fractal->transformCommon.functionEnabledSFalse 98 && aux->i >= fractal->transformCommon.startIterationsX 99 && aux->i < fractal->transformCommon.stopIterationsX) 100 { 101 // update actualScale for next iteration 102 REAL vary = fractal->transformCommon.scaleVary0 103 * (fabs(aux->actualScaleA) - fractal->transformCommon.scaleB1); 104 if (fractal->transformCommon.functionEnabledMFalse) 105 aux->actualScaleA = -vary; 106 else 107 aux->actualScaleA = aux->actualScaleA - vary; 108 } 109 } 110 111 // 6 plane rotation 112 if (fractal->transformCommon.functionEnabledRFalse 113 && aux->i >= fractal->transformCommon.startIterationsR 114 && aux->i < fractal->transformCommon.stopIterationsR) 115 { 116 REAL4 tp; 117 if (fractal->transformCommon.rotation44a.x != 0) 118 { 119 tp = z; 120 REAL alpha = fractal->transformCommon.rotation44a.x * M_PI_180_F; 121 z.x = tp.x * native_cos(alpha) + tp.y * native_sin(alpha); 122 z.y = tp.x * -native_sin(alpha) + tp.y * native_cos(alpha); 123 } 124 if (fractal->transformCommon.rotation44a.y != 0) 125 { 126 tp = z; 127 REAL beta = fractal->transformCommon.rotation44a.y * M_PI_180_F; 128 z.y = tp.y * native_cos(beta) + tp.z * native_sin(beta); 129 z.z = tp.y * -native_sin(beta) + tp.z * native_cos(beta); 130 } 131 if (fractal->transformCommon.rotation44a.z != 0) 132 { 133 tp = z; 134 REAL gamma = fractal->transformCommon.rotation44a.z * M_PI_180_F; 135 z.x = tp.x * native_cos(gamma) + tp.z * native_sin(gamma); 136 z.z = tp.x * -native_sin(gamma) + tp.z * native_cos(gamma); 137 } 138 if (fractal->transformCommon.rotation44b.x != 0) 139 { 140 tp = z; 141 REAL delta = fractal->transformCommon.rotation44b.x * M_PI_180_F; 142 z.x = tp.x * native_cos(delta) + tp.w * native_sin(delta); 143 z.w = tp.x * -native_sin(delta) + tp.w * native_cos(delta); 144 } 145 if (fractal->transformCommon.rotation44b.y != 0) 146 { 147 tp = z; 148 REAL epsilon = fractal->transformCommon.rotation44b.y * M_PI_180_F; 149 z.y = tp.y * native_cos(epsilon) + tp.w * native_sin(epsilon); 150 z.w = tp.y * -native_sin(epsilon) + tp.w * native_cos(epsilon); 151 } 152 if (fractal->transformCommon.rotation44b.z != 0) 153 { 154 tp = z; 155 REAL zeta = fractal->transformCommon.rotation44b.z * M_PI_180_F; 156 z.z = tp.z * native_cos(zeta) + tp.w * native_sin(zeta); 157 z.w = tp.z * -native_sin(zeta) + tp.w * native_cos(zeta); 158 } 159 } 160 // offset 161 z += fractal->transformCommon.additionConstant0000; 162 163 // bulb pow2 164 if (aux->i >= fractal->transformCommon.startIterationsA 165 && aux->i < fractal->transformCommon.stopIterationsA) 166 { 167 aux->r = length(z); 168 aux->DE = aux->r * aux->DE * 16.0f * fractal->analyticDE.scale1 169 * native_sqrt(fractal->foldingIntPow.zFactor * fractal->foldingIntPow.zFactor + 2.0f 170 + fractal->analyticDE.offset2) 171 / SQRT_3_F 172 + fractal->analyticDE.offset1; 173 174 z = z * 2.0f; 175 REAL x2 = z.x * z.x; 176 REAL y2 = z.y * z.y; 177 REAL z2 = z.z * z.z; 178 REAL temp = 1.0f - z2 / (x2 + y2); 179 REAL4 zTemp; 180 zTemp.x = (x2 - y2) * temp; 181 zTemp.y = 2.0f * z.x * z.y * temp; 182 zTemp.z = -2.0f * z.z * native_sqrt(x2 + y2); 183 zTemp.w = z.w; 184 z = zTemp; 185 z.z *= fractal->foldingIntPow.zFactor; 186 } 187 188 // color 189 if (fractal->foldColor.auxColorEnabledFalse) 190 { 191 if (fractal->transformCommon.functionEnabledCxFalse) 192 { 193 if (zCol.x != oldZ.x) 194 colorAdd += 195 fractal->mandelbox.color.factor.x * (fabs(zCol.x) - fractal->mandelbox.color.factor4D.x); 196 if (zCol.y != oldZ.y) 197 colorAdd += 198 fractal->mandelbox.color.factor.y * (fabs(zCol.y) - fractal->mandelbox.color.factor4D.y); 199 if (zCol.z != oldZ.z) 200 colorAdd += 201 fractal->mandelbox.color.factor.z * (fabs(zCol.z) - fractal->mandelbox.color.factor4D.z); 202 if (zCol.w != oldZ.w) 203 colorAdd += 204 fractal->mandelbox.color.factor.z * (fabs(zCol.w) - fractal->mandelbox.color.factor4D.w); 205 if (rrCol < fractal->transformCommon.maxR2d1) 206 { 207 if (rrCol < fractal->transformCommon.minR2p25) 208 colorAdd += 209 fractal->mandelbox.color.factorSp1 * (fractal->transformCommon.minR2p25 - rrCol) 210 + fractal->mandelbox.color.factorSp2 211 * (fractal->transformCommon.maxR2d1 - fractal->transformCommon.minR2p25); 212 else 213 colorAdd += 214 fractal->mandelbox.color.factorSp2 * (fractal->transformCommon.maxR2d1 - rrCol); 215 } 216 } 217 else 218 { 219 if (zCol.x != oldZ.x) colorAdd += fractal->mandelbox.color.factor4D.x; 220 if (zCol.y != oldZ.y) colorAdd += fractal->mandelbox.color.factor4D.y; 221 if (zCol.z != oldZ.z) colorAdd += fractal->mandelbox.color.factor4D.z; 222 if (zCol.w != oldZ.w) colorAdd += fractal->mandelbox.color.factor4D.w; 223 if (rrCol < fractal->transformCommon.minR2p25) 224 colorAdd += fractal->mandelbox.color.factorSp1; 225 else if (rrCol < fractal->transformCommon.maxR2d1) 226 colorAdd += fractal->mandelbox.color.factorSp2; 227 } 228 aux->color += colorAdd; 229 } 230 return z; 231}