File:Menger 4D Mod1 gleichwinklig 25072019 8K.jpg
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DescriptionMenger 4D Mod1 gleichwinklig 25072019 8K.jpg |
Deutsch: Formel:
}void Menger4dMod1Iteration(CVector4 &z, const sFractal *fractal, sExtendedAux &aux) { double paraAddP0 = 0.0; if (fractal->Cpara.enabledParabFalse) { // parabolic = paraOffset + iter *slope + (iter *iter *scale) paraAddP0 = fractal->Cpara.parabOffset0 + (aux.i * fractal->Cpara.parabSlope) + (aux.i * aux.i * 0.001 * fractal->Cpara.parabScale); z.w += paraAddP0; } if (aux.i >= fractal->transformCommon.startIterationsC && aux.i < fractal->transformCommon.stopIterationsC) { z += fractal->transformCommon.additionConstant0000; // offset } z = fabs(z); if (z.x - z.y < 0.0) swap(z.y, z.x); if (z.x - z.z < 0.0) swap(z.z, z.x); if (z.y - z.z < 0.0) swap(z.z, z.y); if (z.x - z.w < 0.0) swap(z.w, z.x); if (z.y - z.w < 0.0) swap(z.w, z.y); if (z.z - z.w < 0.0) swap(z.w, z.z); // 6 plane rotation if (fractal->transformCommon.functionEnabledRFalse && aux.i >= fractal->transformCommon.startIterationsR && aux.i < fractal->transformCommon.stopIterationsR) { CVector4 tp; if (fractal->transformCommon.rotation44a.x != 0) { tp = z; double alpha = fractal->transformCommon.rotation44a.x * M_PI_180; z.x = tp.x * cos(alpha) + tp.y * sin(alpha); z.y = tp.x * -sin(alpha) + tp.y * cos(alpha); } if (fractal->transformCommon.rotation44a.y != 0) { tp = z; double beta = fractal->transformCommon.rotation44a.y * M_PI_180; z.y = tp.y * cos(beta) + tp.z * sin(beta); z.z = tp.y * -sin(beta) + tp.z * cos(beta); } if (fractal->transformCommon.rotation44a.z != 0) { tp = z; double gamma = fractal->transformCommon.rotation44a.z * M_PI_180; z.x = tp.x * cos(gamma) + tp.z * sin(gamma); z.z = tp.x * -sin(gamma) + tp.z * cos(gamma); } if (fractal->transformCommon.rotation44b.x != 0) { tp = z; double delta = fractal->transformCommon.rotation44b.x * M_PI_180; z.x = tp.x * cos(delta) + tp.w * sin(delta); z.w = tp.x * -sin(delta) + tp.w * cos(delta); } if (fractal->transformCommon.rotation44b.y != 0) { tp = z; double epsilon = fractal->transformCommon.rotation44b.y * M_PI_180; z.y = tp.y * cos(epsilon) + tp.w * sin(epsilon); z.w = tp.y * -sin(epsilon) + tp.w * cos(epsilon); } if (fractal->transformCommon.rotation44b.z != 0) { tp = z; double zeta = fractal->transformCommon.rotation44b.z * M_PI_180; z.z = tp.z * cos(zeta) + tp.w * sin(zeta); z.w = tp.z * -sin(zeta) + tp.w * cos(zeta); } } double scaleM = fractal->transformCommon.scale3; CVector4 offsetM = fractal->transformCommon.additionConstant111d5; z.x = scaleM * z.x - offsetM.x; z.y = scaleM * z.y - offsetM.y; z.w = scaleM * z.w - offsetM.w; if (fractal->transformCommon.functionEnabledz && aux.i >= fractal->transformCommon.startIterationsM && aux.i < fractal->transformCommon.stopIterationsM) { z.z -= 0.5 * offsetM.z / scaleM; z.z = -fabs(-z.z); z.z += 0.5 * offsetM.z / scaleM; } else { z.w = scaleM * z.w - offsetM.w; } z.z *= scaleM; aux.DE *= scaleM; if (fractal->transformCommon.functionEnabledSFalse && aux.i >= fractal->transformCommon.startIterationsS && aux.i < fractal->transformCommon.stopIterationsS) { double r2 = 0.; if (fractal->transformCommon.functionEnabledBxFalse) { r2 = z.x * z.x + z.y * z.y; } if (fractal->transformCommon.functionEnabledByFalse) { r2 = z.x * z.x + z.y * z.y + z.z * z.z; } if (fractal->transformCommon.functionEnabledBz) //{ r2 = z.Dot(z) ;} { r2 = z.x * z.x + z.y * z.y + z.z * z.z + z.w * z.w; } // if (r2 < 1e-21 && r2 > -1e-21) r2 = (r2 > 0) ? 1e-21 : -1e-21; if (r2 < fractal->transformCommon.minR2p25) { z *= fractal->transformCommon.maxMinR2factor; aux.DE *= fractal->transformCommon.maxMinR2factor; aux.color += fractal->mandelbox.color.factorSp1; } else if (r2 < fractal->transformCommon.maxR2d1) { double tglad_factor2 = fractal->transformCommon.maxR2d1 / r2; z *= tglad_factor2; aux.DE *= tglad_factor2; aux.color += fractal->mandelbox.color.factorSp2; } } if (fractal->transformCommon.functionEnabledFalse) { CVector4 zA4 = (aux.i == fractal->transformCommon.intA) ? z : CVector4(); CVector4 zB4 = (aux.i == fractal->transformCommon.intB) ? z : CVector4(); z = (z * fractal->transformCommon.scale) + (zA4 * fractal->transformCommon.offset) + (zB4 * fractal->transformCommon.offset0); aux.DE *= fractal->transformCommon.scale1; }aux.DE *= fractal->analyticDE.scale1; |
Date | |
Source | Own work |
Author | PantheraLeo1359531 |
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