File:Mandelbrot Set Image 02 by Aokoroko.jpg
Original file (3,840 × 3,840 pixels, file size: 15.93 MB, MIME type: image/jpeg)
Captions
Summary
[edit]DescriptionMandelbrot Set Image 02 by Aokoroko.jpg |
Русский: Участок множества Мандельброта. Координаты центра:-1.7433419053321, 0.0000907687489, ширина 0.00000000374
English: The piece of Mandelbrot set. Coordinates:-1.7433419053321, 0.0000907687489, width 0.00000000374 |
Date | |
Source | Own work |
Author | Aokoroko |
Source code
[edit]Practically I use the application written by me in FASM language because of the speed advantages. But for your better understanding I have rewrote it in Pascal language. This code can be compiled with Delphi or with Free Pascal. The application produces the image of any reasonable given width and height.
P.S. I apologize for so many values in q:array[0..255]of byte
but they are necessary for my palette design.
{$APPTYPE CONSOLE}
{$N+}
{Author: https://commons.wikimedia.org/wiki/User:Aokoroko}
const
absc=-1.7433419053321; ordi=0.0000907687489; size=0.00000000374;
q:array[0..255]of byte=(117,172,209,145,64,95,149,223,155,65,178,142,224,92,93,
159,199,116,52,178,214,192,230,47,198,68,75,179,0,8,220,51,69,171,81,41,95,108,
20,121,18,215,15,75,234,94,198,83,178,216,183,78,41,84,119,63,211,71,123,38,
223,73,197,249,126,227,211,5,36,36,128,5,151,2,198,166,197,181,142,52,174,151,
244,164,255,62,173,75,21,197,126,225,130,146,244,175,86,1,180,253,198,191,50,36,
233,200,150,221,176,73,23,161,71,224,41,69,139,245,44,40,68,45,147,127,73,39,
156,189,191,20,19,15,27,203,206,97,156,111,189,126,87,209,209,36,23,17,15,49,
172,58,146,65,93,214,80,80,168,177,231,81,122,75,196,189,141,185,105,138,152,
225,171,28,120,103,29,13,140,172,20,235,214,174,237,70,179,188,127,169,40,58,
242,93,32,252,78,13,26,221,141,178,25,171,4,79,231,137,83,113,230,88,90,124,18,
217,194,46,236,126,32,228,103,53,206,150,28,159,237,138,83,114,58,47,176,254,
161,177,138,24,191,38,59,225,182,112,250,39,10,47,2,96,101,93,21,116,129,255);
var
f:file;
horiz,vert,a,b,t,i,j,l:longint;
c,d,cc,dd,m,n,mm,nn,step,absc2,ordi2:extended;
s:array[0..30000]of array[0..2]of byte;
z:array[0..2]of longint;
pal:array[0..255]of array[0..2]of byte;
h:array[0..13]of longint=($4D42,0,0,54,40,0,0,$180001,0,0,2834,2834,0,0);
begin
write('Width: '); readln(horiz); write('Height: '); readln(vert);
h[5]:=horiz; h[6]:=vert;
a:=horiz*3; if (a and 3<>0) then a:=(a+4) and $FFFFFFFC; h[9]:=a*vert; h[1]:=h[9]+54;
assign(f,'Mandelbrot02.bmp'); rewrite(f,1);
blockwrite(f,h,2); blockwrite(f,h[1],52);
for a:=0 to 254 do
begin
pal[a][0]:=round(127+127*cos(2*pi*(a+227)/255)); pal[a][1]:=round(127+127*sin(2*pi*(a+227)/255)); pal[a][2]:=q[a]
end;
for a:=0 to 2 do pal[255][a]:=255;
step:=size/(horiz shl 3);
absc2:=absc-step*(horiz shl 3-1)/2; ordi2:=ordi-step*(vert shl 3-1)/2;
for b:=0 to vert-1 do
begin
nn:=b shl 3;
for a:=0 to horiz-1 do
begin
mm:=a shl 3;
for l:=0 to 2 do z[l]:=0;
for j:=0 to 7 do
begin
n:=ordi2+(nn+j)*step;
for i:=0 to 7 do
begin
m:=absc2+(mm+i)*step;
c:=m; d:=n; t:=4081;
repeat cc:=c*c; dd:=d*d; d:=(c+c)*d+n; c:=cc-dd+m; dec(t) until (t=0) or (cc+dd>1000000.0);
if (t=0) then t:=255 else t:=t mod 255;
for l:=0 to 2 do z[l]:=z[l]+pal[t][l]
end
end;
for l:=0 to 2 do s[a][l]:=z[l] shr 6
end;
blockwrite(f,s,h[9] div vert);
write('Done: ',b+1,chr(13))
end;
close(f)
end.
Licensing
[edit]- 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.
This image has been assessed using the Quality image guidelines and is considered a Quality image.
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File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 06:49, 25 April 2017 | 3,840 × 3,840 (15.93 MB) | Aokoroko (talk | contribs) | Improve resolution and quality | |
01:14, 1 February 2017 | 2,000 × 2,000 (5.55 MB) | Aokoroko (talk | contribs) | User created page with UploadWizard |
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Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Orientation | Normal |
---|---|
Horizontal resolution | 72.009 dpi |
Vertical resolution | 72.009 dpi |
Software used | Adobe Photoshop CS3 Windows |
File change date and time | 09:48, 25 April 2017 |
Color space | Uncalibrated |
Image width | 3,840 px |
Image height | 3,840 px |
Date and time of digitizing | 12:48, 25 April 2017 |
Date metadata was last modified | 12:48, 25 April 2017 |