fix markdown syntax

This commit is contained in:
josch 2013-06-28 16:51:23 +02:00
parent 2276fa1e1f
commit 5b4252cfb1

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@ -1,4 +1,5 @@
= Introduction =
Introduction
============
Calculating Mandelbrot using different ways. It tries to imitate the Mandelbrot
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
= Overview =
Overview
========
mandel:
straight forward "long double" based mandelbrot
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)
- straight forward "long double" based mandelbrot
- this is obviously the fastest implementation but has limited precision
= 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`.
= How to execute =
How to execute
==============
Each of the tools takes as arguments the width, height, coordinates and
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 =
The shell script (with a small python helper) run.sh will generate and execute a
list of commands to create a zooming sequence of images.
The shell script (with a small python helper) `run.sh` will generate and
execute a list of commands to create a zooming sequence of images.
You can create a video of the resulting sequence using:
$ avconv -i %05d.png out.mp4
= Benchmark =
Benchmark
=========
Benchmark against mandelbrot computation by Zom-B:
at zoom coordinates:
x = -0.743643887037158704752191506114774
y = 0.131825904205311970493132056385139
- x = -0.743643887037158704752191506114774
- y = 0.131825904205311970493132056385139
1 to 1e32 in 100 steps at 320x240 and no AA took
mandel_dd 1:28 h
mandel_zomb 2:45 h
- mandel_dd 1:28 h
- mandel_zomb 2:45 h
1.0e17 at 1920x1080 with 5xAA took
mandel_dd_aa 2:38 h
mandel_zomb 8:40 h
- mandel_dd_aa 2:38 h
- mandel_zomb 8:40 h