josch/mandelbrot
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fix markdown syntax

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josch 2013-06-28 16:51:23 +02:00
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README.md
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@ -1,4 +1,5 @@
= Introduction = Introduction
============
Calculating Mandelbrot using different ways. It tries to imitate the Mandelbrot Calculating Mandelbrot using different ways. It tries to imitate the Mandelbrot
calculation by Zom-B but be faster in doing so. calculation by Zom-B but be faster in doing so.
@ -12,27 +13,35 @@ The generator used for this version is available here:
https://github.com/josch/mandelbrot_zomb https://github.com/josch/mandelbrot_zomb
= Overview = Overview
========
mandel: mandel:
straight forward "long double" based mandelbrot - straight forward "long double" based mandelbrot
this is obviously the fastest implementation but has limited precision - this is obviously the fastest implementation but has limited precision
mandel_mpfr:
mandelbrot using the arbitrary precision mpfr library
mandel_quad:
mandelbrot using gcc libquad
mandel_dd:
mandelbrot using custom double double math
this is the fastest implementation given double double precision
mandel_dd_aa:
with antialiasing
it is more than three times faster than the Zom-B version (see below)
= How to compile = mandel_mpfr:
- mandelbrot using the arbitrary precision mpfr library
mandel_quad:
- mandelbrot using gcc libquad
mandel_dd:
- mandelbrot using custom double double math
- this is the fastest implementation given double double precision
mandel_dd_aa:
- with antialiasing
- it is more than three times faster than the Zom-B version (see below)
How to compile
==============
Compile by running `make`. Compile by running `make`.
= How to execute = How to execute
==============
Each of the tools takes as arguments the width, height, coordinates and Each of the tools takes as arguments the width, height, coordinates and
magnification. Output is in PPM format on standard output. magnification. Output is in PPM format on standard output.
@ -50,25 +59,26 @@ And even compress it further by doing:
= How to generate zoom animation = = How to generate zoom animation =
The shell script (with a small python helper) run.sh will generate and execute a The shell script (with a small python helper) `run.sh` will generate and
list of commands to create a zooming sequence of images. execute a list of commands to create a zooming sequence of images.
You can create a video of the resulting sequence using: You can create a video of the resulting sequence using:
$ avconv -i %05d.png out.mp4 $ avconv -i %05d.png out.mp4
= Benchmark = Benchmark
=========
Benchmark against mandelbrot computation by Zom-B: Benchmark against mandelbrot computation by Zom-B:
at zoom coordinates: at zoom coordinates:
x = -0.743643887037158704752191506114774 - x = -0.743643887037158704752191506114774
y = 0.131825904205311970493132056385139 - y = 0.131825904205311970493132056385139
1 to 1e32 in 100 steps at 320x240 and no AA took 1 to 1e32 in 100 steps at 320x240 and no AA took
mandel_dd 1:28 h - mandel_dd 1:28 h
mandel_zomb 2:45 h - mandel_zomb 2:45 h
1.0e17 at 1920x1080 with 5xAA took 1.0e17 at 1920x1080 with 5xAA took
mandel_dd_aa 2:38 h - mandel_dd_aa 2:38 h
mandel_zomb 8:40 h - mandel_zomb 8:40 h