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poizan42/Mandelbrot16x16-fixed.pdf

Last active August 29, 2015 14:25
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16x16 Mandelbrot set rendered by a tint transform (it's not technically a valid pdf because it lacks lengths and the xref table which is hard to write by hand, but every reader can reconstruct them anyways). The Mandelbrot16x16-fixed.pdf file has been opened and saved with Adobe Reader which repairs the file (but makes it human unreadable).
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Mandelbrot16x16.pdf.txt
%PDF-1.4
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/Contents 5 0 R
/Resources <<
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/Width 16
/Height 16
/ColorSpace [/Separation /Mandelbrot /DeviceGray 8 0 R]
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100 0 0 100 0 0 cm % Translate to (0,0) and scale by 100
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{
255 mul % scale input
round
dup % make a copy of the input
% get upper nibble
-4 bitshift % >> 4
7.5 sub % -7.5 .. 7.5
5 div % -1.5 .. 1.5
exch % original (scaled) input to top of stack
% get lower nibble
16 mod % "and" is broken in sumatra...
7.5 sub % -7.5 .. 7.5
5 div % -1.5 .. 1.5
% Stack: Re, Im
2 copy % c: (Re, Im), z:(Re, Im)
0 1 eq
% ITERATION START
% stack : stop, Re, Im, Re(c), Im(c)
{1 1 eq} {
% Calculate: z^2 + c: (Re(z)^2 - Im(z)^2 + Re(c), 2*Re*Im + Im(c))
dup dup mul % stack : Re^2, Re, Im, ...
2 index % stack: Im, Re^2, Re, Im, ...
dup mul % stack: Im^2, Re^2, Re, Im, ...
sub %stack: Re^2 - Im^2, Re, Im, Re(c), Im(c)
3 index % stack: Re(c), Re^2 - Im^2, Re, Im, Re(c), Im(c)
add % stack: Re^2 - Im^2 + Re(c), Re, Im, Re(c), Im(c)
3 1 roll % stack: Re, Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
mul % stack: Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
2 mul % stack: 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
3 index % stack: Im(c), 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
add % stack: 2*Re*Im + Im(c), Re^2 - Im^2 + Re(c), Re(c), Im(c)
exch % stack: Re^2 - Im^2 + Re(c), 2*Re*Im + Im(c), Re(c), Im(c)
% stack: Re, Im, Re(c), Im(c)
% Check |z| >= 2: sqrt(Re^2 + Im^2) >= 2
dup dup mul % stack: Re^2, Re, Im, Re(c), Im(c)
2 index % stack: Im, Re^2, Re, Im, Re(c), Im(c)
dup mul % stack: Im^2, Re^2, Re, Im, Re(c), Im(c)
add % stack: Im^2 + Re^2, Re, Im, Re(c), Im(c)
sqrt % stack: sqrt(Im^2 + Re^2), Re, Im, Re(c), Im(c)
2 ge % stack: stop, Re, Im, Re(c), Im(c)
} ifelse
{1 1 eq} {
% Calculate: z^2 + c: (Re(z)^2 - Im(z)^2 + Re(c), 2*Re*Im + Im(c))
dup dup mul % stack : Re^2, Re, Im, ...
2 index % stack: Im, Re^2, Re, Im, ...
dup mul % stack: Im^2, Re^2, Re, Im, ...
sub %stack: Re^2 - Im^2, Re, Im, Re(c), Im(c)
3 index % stack: Re(c), Re^2 - Im^2, Re, Im, Re(c), Im(c)
add % stack: Re^2 - Im^2 + Re(c), Re, Im, Re(c), Im(c)
3 1 roll % stack: Re, Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
mul % stack: Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
2 mul % stack: 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
3 index % stack: Im(c), 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
add % stack: 2*Re*Im + Im(c), Re^2 - Im^2 + Re(c), Re(c), Im(c)
exch % stack: Re^2 - Im^2 + Re(c), 2*Re*Im + Im(c), Re(c), Im(c)
% stack: Re, Im, Re(c), Im(c)
% Check |z| >= 2: sqrt(Re^2 + Im^2) >= 2
dup dup mul % stack: Re^2, Re, Im, Re(c), Im(c)
2 index % stack: Im, Re^2, Re, Im, Re(c), Im(c)
dup mul % stack: Im^2, Re^2, Re, Im, Re(c), Im(c)
add % stack: Im^2 + Re^2, Re, Im, Re(c), Im(c)
sqrt % stack: sqrt(Im^2 + Re^2), Re, Im, Re(c), Im(c)
2 ge % stack: stop, Re, Im, Re(c), Im(c)
} ifelse
{1 1 eq} {
% Calculate: z^2 + c: (Re(z)^2 - Im(z)^2 + Re(c), 2*Re*Im + Im(c))
dup dup mul % stack : Re^2, Re, Im, ...
2 index % stack: Im, Re^2, Re, Im, ...
dup mul % stack: Im^2, Re^2, Re, Im, ...
sub %stack: Re^2 - Im^2, Re, Im, Re(c), Im(c)
3 index % stack: Re(c), Re^2 - Im^2, Re, Im, Re(c), Im(c)
add % stack: Re^2 - Im^2 + Re(c), Re, Im, Re(c), Im(c)
3 1 roll % stack: Re, Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
mul % stack: Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
2 mul % stack: 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
3 index % stack: Im(c), 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
add % stack: 2*Re*Im + Im(c), Re^2 - Im^2 + Re(c), Re(c), Im(c)
exch % stack: Re^2 - Im^2 + Re(c), 2*Re*Im + Im(c), Re(c), Im(c)
% stack: Re, Im, Re(c), Im(c)
% Check |z| >= 2: sqrt(Re^2 + Im^2) >= 2
dup dup mul % stack: Re^2, Re, Im, Re(c), Im(c)
2 index % stack: Im, Re^2, Re, Im, Re(c), Im(c)
dup mul % stack: Im^2, Re^2, Re, Im, Re(c), Im(c)
add % stack: Im^2 + Re^2, Re, Im, Re(c), Im(c)
sqrt % stack: sqrt(Im^2 + Re^2), Re, Im, Re(c), Im(c)
2 ge % stack: stop, Re, Im, Re(c), Im(c)
} ifelse
{1 1 eq} {
% Calculate: z^2 + c: (Re(z)^2 - Im(z)^2 + Re(c), 2*Re*Im + Im(c))
dup dup mul % stack : Re^2, Re, Im, ...
2 index % stack: Im, Re^2, Re, Im, ...
dup mul % stack: Im^2, Re^2, Re, Im, ...
sub %stack: Re^2 - Im^2, Re, Im, Re(c), Im(c)
3 index % stack: Re(c), Re^2 - Im^2, Re, Im, Re(c), Im(c)
add % stack: Re^2 - Im^2 + Re(c), Re, Im, Re(c), Im(c)
3 1 roll % stack: Re, Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
mul % stack: Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
2 mul % stack: 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
3 index % stack: Im(c), 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
add % stack: 2*Re*Im + Im(c), Re^2 - Im^2 + Re(c), Re(c), Im(c)
exch % stack: Re^2 - Im^2 + Re(c), 2*Re*Im + Im(c), Re(c), Im(c)
% stack: Re, Im, Re(c), Im(c)
% Check |z| >= 2: sqrt(Re^2 + Im^2) >= 2
dup dup mul % stack: Re^2, Re, Im, Re(c), Im(c)
2 index % stack: Im, Re^2, Re, Im, Re(c), Im(c)
dup mul % stack: Im^2, Re^2, Re, Im, Re(c), Im(c)
add % stack: Im^2 + Re^2, Re, Im, Re(c), Im(c)
sqrt % stack: sqrt(Im^2 + Re^2), Re, Im, Re(c), Im(c)
2 ge % stack: stop, Re, Im, Re(c), Im(c)
} ifelse
{1 1 eq} {
% Calculate: z^2 + c: (Re(z)^2 - Im(z)^2 + Re(c), 2*Re*Im + Im(c))
dup dup mul % stack : Re^2, Re, Im, ...
2 index % stack: Im, Re^2, Re, Im, ...
dup mul % stack: Im^2, Re^2, Re, Im, ...
sub %stack: Re^2 - Im^2, Re, Im, Re(c), Im(c)
3 index % stack: Re(c), Re^2 - Im^2, Re, Im, Re(c), Im(c)
add % stack: Re^2 - Im^2 + Re(c), Re, Im, Re(c), Im(c)
3 1 roll % stack: Re, Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
mul % stack: Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
2 mul % stack: 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
3 index % stack: Im(c), 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
add % stack: 2*Re*Im + Im(c), Re^2 - Im^2 + Re(c), Re(c), Im(c)
exch % stack: Re^2 - Im^2 + Re(c), 2*Re*Im + Im(c), Re(c), Im(c)
% stack: Re, Im, Re(c), Im(c)
% Check |z| >= 2: sqrt(Re^2 + Im^2) >= 2
dup dup mul % stack: Re^2, Re, Im, Re(c), Im(c)
2 index % stack: Im, Re^2, Re, Im, Re(c), Im(c)
dup mul % stack: Im^2, Re^2, Re, Im, Re(c), Im(c)
add % stack: Im^2 + Re^2, Re, Im, Re(c), Im(c)
sqrt % stack: sqrt(Im^2 + Re^2), Re, Im, Re(c), Im(c)
2 ge % stack: stop, Re, Im, Re(c), Im(c)
} ifelse
{1 1 eq} {
% Calculate: z^2 + c: (Re(z)^2 - Im(z)^2 + Re(c), 2*Re*Im + Im(c))
dup dup mul % stack : Re^2, Re, Im, ...
2 index % stack: Im, Re^2, Re, Im, ...
dup mul % stack: Im^2, Re^2, Re, Im, ...
sub %stack: Re^2 - Im^2, Re, Im, Re(c), Im(c)
3 index % stack: Re(c), Re^2 - Im^2, Re, Im, Re(c), Im(c)
add % stack: Re^2 - Im^2 + Re(c), Re, Im, Re(c), Im(c)
3 1 roll % stack: Re, Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
mul % stack: Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
2 mul % stack: 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
3 index % stack: Im(c), 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
add % stack: 2*Re*Im + Im(c), Re^2 - Im^2 + Re(c), Re(c), Im(c)
exch % stack: Re^2 - Im^2 + Re(c), 2*Re*Im + Im(c), Re(c), Im(c)
% stack: Re, Im, Re(c), Im(c)
% Check |z| >= 2: sqrt(Re^2 + Im^2) >= 2
dup dup mul % stack: Re^2, Re, Im, Re(c), Im(c)
2 index % stack: Im, Re^2, Re, Im, Re(c), Im(c)
dup mul % stack: Im^2, Re^2, Re, Im, Re(c), Im(c)
add % stack: Im^2 + Re^2, Re, Im, Re(c), Im(c)
sqrt % stack: sqrt(Im^2 + Re^2), Re, Im, Re(c), Im(c)
2 ge % stack: stop, Re, Im, Re(c), Im(c)
} ifelse
{1 1 eq} {
% Calculate: z^2 + c: (Re(z)^2 - Im(z)^2 + Re(c), 2*Re*Im + Im(c))
dup dup mul % stack : Re^2, Re, Im, ...
2 index % stack: Im, Re^2, Re, Im, ...
dup mul % stack: Im^2, Re^2, Re, Im, ...
sub %stack: Re^2 - Im^2, Re, Im, Re(c), Im(c)
3 index % stack: Re(c), Re^2 - Im^2, Re, Im, Re(c), Im(c)
add % stack: Re^2 - Im^2 + Re(c), Re, Im, Re(c), Im(c)
3 1 roll % stack: Re, Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
mul % stack: Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
2 mul % stack: 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
3 index % stack: Im(c), 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
add % stack: 2*Re*Im + Im(c), Re^2 - Im^2 + Re(c), Re(c), Im(c)
exch % stack: Re^2 - Im^2 + Re(c), 2*Re*Im + Im(c), Re(c), Im(c)
% stack: Re, Im, Re(c), Im(c)
% Check |z| >= 2: sqrt(Re^2 + Im^2) >= 2
dup dup mul % stack: Re^2, Re, Im, Re(c), Im(c)
2 index % stack: Im, Re^2, Re, Im, Re(c), Im(c)
dup mul % stack: Im^2, Re^2, Re, Im, Re(c), Im(c)
add % stack: Im^2 + Re^2, Re, Im, Re(c), Im(c)
sqrt % stack: sqrt(Im^2 + Re^2), Re, Im, Re(c), Im(c)
2 ge % stack: stop, Re, Im, Re(c), Im(c)
} ifelse
{1 1 eq} {
% Calculate: z^2 + c: (Re(z)^2 - Im(z)^2 + Re(c), 2*Re*Im + Im(c))
dup dup mul % stack : Re^2, Re, Im, ...
2 index % stack: Im, Re^2, Re, Im, ...
dup mul % stack: Im^2, Re^2, Re, Im, ...
sub %stack: Re^2 - Im^2, Re, Im, Re(c), Im(c)
3 index % stack: Re(c), Re^2 - Im^2, Re, Im, Re(c), Im(c)
add % stack: Re^2 - Im^2 + Re(c), Re, Im, Re(c), Im(c)
3 1 roll % stack: Re, Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
mul % stack: Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
2 mul % stack: 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
3 index % stack: Im(c), 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
add % stack: 2*Re*Im + Im(c), Re^2 - Im^2 + Re(c), Re(c), Im(c)
exch % stack: Re^2 - Im^2 + Re(c), 2*Re*Im + Im(c), Re(c), Im(c)
% stack: Re, Im, Re(c), Im(c)
% Check |z| >= 2: sqrt(Re^2 + Im^2) >= 2
dup dup mul % stack: Re^2, Re, Im, Re(c), Im(c)
2 index % stack: Im, Re^2, Re, Im, Re(c), Im(c)
dup mul % stack: Im^2, Re^2, Re, Im, Re(c), Im(c)
add % stack: Im^2 + Re^2, Re, Im, Re(c), Im(c)
sqrt % stack: sqrt(Im^2 + Re^2), Re, Im, Re(c), Im(c)
2 ge % stack: stop, Re, Im, Re(c), Im(c)
} ifelse
{1 1 eq} {
% Calculate: z^2 + c: (Re(z)^2 - Im(z)^2 + Re(c), 2*Re*Im + Im(c))
dup dup mul % stack : Re^2, Re, Im, ...
2 index % stack: Im, Re^2, Re, Im, ...
dup mul % stack: Im^2, Re^2, Re, Im, ...
sub %stack: Re^2 - Im^2, Re, Im, Re(c), Im(c)
3 index % stack: Re(c), Re^2 - Im^2, Re, Im, Re(c), Im(c)
add % stack: Re^2 - Im^2 + Re(c), Re, Im, Re(c), Im(c)
3 1 roll % stack: Re, Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
mul % stack: Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
2 mul % stack: 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
3 index % stack: Im(c), 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
add % stack: 2*Re*Im + Im(c), Re^2 - Im^2 + Re(c), Re(c), Im(c)
exch % stack: Re^2 - Im^2 + Re(c), 2*Re*Im + Im(c), Re(c), Im(c)
% stack: Re, Im, Re(c), Im(c)
% Check |z| >= 2: sqrt(Re^2 + Im^2) >= 2
dup dup mul % stack: Re^2, Re, Im, Re(c), Im(c)
2 index % stack: Im, Re^2, Re, Im, Re(c), Im(c)
dup mul % stack: Im^2, Re^2, Re, Im, Re(c), Im(c)
add % stack: Im^2 + Re^2, Re, Im, Re(c), Im(c)
sqrt % stack: sqrt(Im^2 + Re^2), Re, Im, Re(c), Im(c)
2 ge % stack: stop, Re, Im, Re(c), Im(c)
} ifelse
{1 1 eq} {
% Calculate: z^2 + c: (Re(z)^2 - Im(z)^2 + Re(c), 2*Re*Im + Im(c))
dup dup mul % stack : Re^2, Re, Im, ...
2 index % stack: Im, Re^2, Re, Im, ...
dup mul % stack: Im^2, Re^2, Re, Im, ...
sub %stack: Re^2 - Im^2, Re, Im, Re(c), Im(c)
3 index % stack: Re(c), Re^2 - Im^2, Re, Im, Re(c), Im(c)
add % stack: Re^2 - Im^2 + Re(c), Re, Im, Re(c), Im(c)
3 1 roll % stack: Re, Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
mul % stack: Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
2 mul % stack: 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
3 index % stack: Im(c), 2*Re*Im, Re^2 - Im^2 + Re(c), Re(c), Im(c)
add % stack: 2*Re*Im + Im(c), Re^2 - Im^2 + Re(c), Re(c), Im(c)
exch % stack: Re^2 - Im^2 + Re(c), 2*Re*Im + Im(c), Re(c), Im(c)
% stack: Re, Im, Re(c), Im(c)
% Check |z| >= 2: sqrt(Re^2 + Im^2) >= 2
dup dup mul % stack: Re^2, Re, Im, Re(c), Im(c)
2 index % stack: Im, Re^2, Re, Im, Re(c), Im(c)
dup mul % stack: Im^2, Re^2, Re, Im, Re(c), Im(c)
add % stack: Im^2 + Re^2, Re, Im, Re(c), Im(c)
sqrt % stack: sqrt(Im^2 + Re^2), Re, Im, Re(c), Im(c)
2 ge % stack: stop, Re, Im, Re(c), Im(c)
} ifelse
{1} {0} ifelse
}
endstream
endobj
6 0 obj %procset
[ /PDF ]
endobj
trailer
<< /Size 7
/Root 1 0 R
>>
%%EOF
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