This is a file from the Wikimedia Commons

File:Mandelbox front 17072019.jpg

From Wikibooks, open books for an open world
Jump to navigation Jump to search

Original file ‎(7,000 × 7,000 pixels, file size: 45.43 MB, MIME type: image/jpeg)

Summary

Description
Deutsch: Die Standard-Mandelbox von vorne. Werte können in den Metadaten eingesehen werden. Skalierungswert beträgt 2.

Formel:

void MandelboxIteration(CVector4 &z, const sFractal *fractal, sExtendedAux &aux) { 

 if (fractal->mandelbox.rotationsEnabled)
 {
   CVector4 zRot;
   // cast vector to array pointer for address taking of components in opencl
   double *zRotP = reinterpret_cast<double *>(&zRot);
   const double *colP = reinterpret_cast<const double *>(&fractal->mandelbox.color.factor);
   for (int dim = 0; dim < 3; dim++)
   {
     // handle each dimension x, y and z sequentially in pointer var dim
     double *rotDim = (dim == 0) ? &zRotP[0] : ((dim == 1) ? &zRotP[1] : &zRotP[2]);
     const double *colorFactor = (dim == 0) ? &colP[0] : ((dim == 1) ? &colP[1] : &colP[2]);

     zRot = fractal->mandelbox.rot[0][dim].RotateVector(z);
     if (*rotDim > fractal->mandelbox.foldingLimit)
     {
       *rotDim = fractal->mandelbox.foldingValue - *rotDim;
       z = fractal->mandelbox.rotinv[0][dim].RotateVector(zRot);
       aux.color += *colorFactor;
     }
     else
     {
       zRot = fractal->mandelbox.rot[1][dim].RotateVector(z);
       if (*rotDim < -fractal->mandelbox.foldingLimit)
       {
         *rotDim = -fractal->mandelbox.foldingValue - *rotDim;
         z = fractal->mandelbox.rotinv[1][dim].RotateVector(zRot);
         aux.color += *colorFactor;
       }
     }
   }
 }
 else
 {
   if (fabs(z.x) > fractal->mandelbox.foldingLimit)
   {
     z.x = sign(z.x) * fractal->mandelbox.foldingValue - z.x;
     aux.color += fractal->mandelbox.color.factor.x;
   }
   if (fabs(z.y) > fractal->mandelbox.foldingLimit)
   {
     z.y = sign(z.y) * fractal->mandelbox.foldingValue - z.y;
     aux.color += fractal->mandelbox.color.factor.y;
   }
   if (fabs(z.z) > fractal->mandelbox.foldingLimit)
   {
     z.z = sign(z.z) * fractal->mandelbox.foldingValue - z.z;
     aux.color += fractal->mandelbox.color.factor.z;
   }
 }

 const double r2 = z.Dot(z);

 z += fractal->mandelbox.offset;

 if (r2 < fractal->mandelbox.mR2)
 {
   z *= fractal->mandelbox.mboxFactor1;
   aux.DE *= fractal->mandelbox.mboxFactor1;
   aux.color += fractal->mandelbox.color.factorSp1;
 }
 else if (r2 < fractal->mandelbox.fR2)
 {
   const double tglad_factor2 = fractal->mandelbox.fR2 / r2;
   z *= tglad_factor2;
   aux.DE *= tglad_factor2;
   aux.color += fractal->mandelbox.color.factorSp2;
 }

 z -= fractal->mandelbox.offset;

 if (fractal->mandelbox.mainRotationEnabled) z = fractal->mandelbox.mainRot.RotateVector(z);

 z = z * fractal->mandelbox.scale;
aux.DE = aux.DE * fabs(fractal->mandelbox.scale) + 1.0;
}
English: The standard Mandelbox seen from the front. Values can be found in the Meta. Scale of Mandelbox is 2. Formula:

void MandelboxIteration(CVector4 &z, const sFractal *fractal, sExtendedAux &aux) { 

 if (fractal->mandelbox.rotationsEnabled)
 {
   CVector4 zRot;
   // cast vector to array pointer for address taking of components in opencl
   double *zRotP = reinterpret_cast<double *>(&zRot);
   const double *colP = reinterpret_cast<const double *>(&fractal->mandelbox.color.factor);
   for (int dim = 0; dim < 3; dim++)
   {
     // handle each dimension x, y and z sequentially in pointer var dim
     double *rotDim = (dim == 0) ? &zRotP[0] : ((dim == 1) ? &zRotP[1] : &zRotP[2]);
     const double *colorFactor = (dim == 0) ? &colP[0] : ((dim == 1) ? &colP[1] : &colP[2]);

     zRot = fractal->mandelbox.rot[0][dim].RotateVector(z);
     if (*rotDim > fractal->mandelbox.foldingLimit)
     {
       *rotDim = fractal->mandelbox.foldingValue - *rotDim;
       z = fractal->mandelbox.rotinv[0][dim].RotateVector(zRot);
       aux.color += *colorFactor;
     }
     else
     {
       zRot = fractal->mandelbox.rot[1][dim].RotateVector(z);
       if (*rotDim < -fractal->mandelbox.foldingLimit)
       {
         *rotDim = -fractal->mandelbox.foldingValue - *rotDim;
         z = fractal->mandelbox.rotinv[1][dim].RotateVector(zRot);
         aux.color += *colorFactor;
       }
     }
   }
 }
 else
 {
   if (fabs(z.x) > fractal->mandelbox.foldingLimit)
   {
     z.x = sign(z.x) * fractal->mandelbox.foldingValue - z.x;
     aux.color += fractal->mandelbox.color.factor.x;
   }
   if (fabs(z.y) > fractal->mandelbox.foldingLimit)
   {
     z.y = sign(z.y) * fractal->mandelbox.foldingValue - z.y;
     aux.color += fractal->mandelbox.color.factor.y;
   }
   if (fabs(z.z) > fractal->mandelbox.foldingLimit)
   {
     z.z = sign(z.z) * fractal->mandelbox.foldingValue - z.z;
     aux.color += fractal->mandelbox.color.factor.z;
   }
 }

 const double r2 = z.Dot(z);

 z += fractal->mandelbox.offset;

 if (r2 < fractal->mandelbox.mR2)
 {
   z *= fractal->mandelbox.mboxFactor1;
   aux.DE *= fractal->mandelbox.mboxFactor1;
   aux.color += fractal->mandelbox.color.factorSp1;
 }
 else if (r2 < fractal->mandelbox.fR2)
 {
   const double tglad_factor2 = fractal->mandelbox.fR2 / r2;
   z *= tglad_factor2;
   aux.DE *= tglad_factor2;
   aux.color += fractal->mandelbox.color.factorSp2;
 }

 z -= fractal->mandelbox.offset;

 if (fractal->mandelbox.mainRotationEnabled) z = fractal->mandelbox.mainRot.RotateVector(z);

 z = z * fractal->mandelbox.scale;
aux.DE = aux.DE * fabs(fractal->mandelbox.scale) + 1.0;
}
Date
Source Own work
Author PantheraLeo1359531

CGI.

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Quality image

This image has been assessed using the Quality image guidelines and is considered a Quality image.

العربية ∙ جازايرية ∙ беларуская ∙ беларуская (тарашкевіца) ∙ български ∙ বাংলা ∙ català ∙ čeština ∙ Cymraeg ∙ Deutsch ∙ Schweizer Hochdeutsch ∙ Zazaki ∙ Ελληνικά ∙ English ∙ Esperanto ∙ español ∙ eesti ∙ euskara ∙ فارسی ∙ suomi ∙ français ∙ galego ∙ עברית ∙ हिन्दी ∙ hrvatski ∙ magyar ∙ հայերեն ∙ Bahasa Indonesia ∙ italiano ∙ 日本語 ∙ Jawa ∙ ქართული ∙ 한국어 ∙ kurdî ∙ Lëtzebuergesch ∙ lietuvių ∙ македонски ∙ മലയാളം ∙ मराठी ∙ Bahasa Melayu ∙ Nederlands ∙ Norfuk / Pitkern ∙ polski ∙ português ∙ português do Brasil ∙ rumantsch ∙ română ∙ русский ∙ sicilianu ∙ slovenčina ∙ slovenščina ∙ shqip ∙ српски / srpski ∙ svenska ∙ தமிழ் ∙ తెలుగు ∙ ไทย ∙ Tagalog ∙ Türkçe ∙ toki pona ∙ українська ∙ vèneto ∙ Tiếng Việt ∙ 中文 ∙ 中文（简体） ∙ 中文（繁體） ∙ +/−

Captions

Created with mandelbulber2.

Items portrayed in this file

depicts

Mandelbox

rectangle

inception

17 July 2019

MIME type

image/jpeg

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current13:56, 24 July 2019Thumbnail for version as of 13:56, 24 July 20197,000 × 7,000 (45.43 MB)PantheraLeo1359531Downsized to 6000px (Mandelbox area) and added a new area around Mandelbox.
20:36, 17 July 2019Thumbnail for version as of 20:36, 17 July 201910,000 × 10,000 (80.77 MB)PantheraLeo1359531User created page with UploadWizard

The following page uses this file:

Metadata

This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.

If the file has been modified from its original state, some details may not fully reflect the modified file.

Retrieved from "https://en.wikibooks.org/wiki/File:Mandelbox_front_17072019.jpg"