From 5b4252cfb1f63fca65b7fde7acda8deb0010a899 Mon Sep 17 00:00:00 2001 From: josch Date: Fri, 28 Jun 2013 16:51:23 +0200 Subject: [PATCH] fix markdown syntax --- README.md | 52 +++++++++++++++++++++++++++++++--------------------- 1 file changed, 31 insertions(+), 21 deletions(-) diff --git a/README.md b/README.md index 357528d..2ed85ce 100644 --- a/README.md +++ b/README.md @@ -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 + - 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 + - mandelbrot using the arbitrary precision mpfr library + mandel_quad: - mandelbrot using gcc libquad + - mandelbrot using gcc libquad + mandel_dd: - mandelbrot using custom double double math - this is the fastest implementation given double double precision + - 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) + - with antialiasing + - it is more than three times faster than the Zom-B version (see below) + -= How to compile = +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