mightymandel is Mandelbrot set explorer made by Claude Heiland-Allen. Here one can find unofficial docs about it

Features edit

  • draws parameter plane of complex quadratic polynomial with boundary of Mandelbrot set
  • License GPL3+ [1]
  • perturbation technique[2] with series approximation.
  • GPGPU[3] based on OpenGL 4 ( "my GPU is much faster than my CPU ")
  • writen in C ( C99) with full src code available[4]
  • multiprecision

Plane description edit

Claude Heiland-Allen[4] uses center and radius for the description of parameter plane.

Radius is defined as "the difference in imaginary coordinate between the center and the top of the axis-aligned view rectangle".

So plane is described by 3 numbers:

  • center_re
  • center_im
  • radius

where center = center_re + center_im * i

Installation edit

Requirements edit

  • opengl for GPGPU
    • version 4.1 (supports 3.3 as fallback without perturbation, limiting zoom depth dramatically)
    • libraries : gl, glew,[5] glfw3,[6]
  • multiprecision ( library MPFR[7])
  • rt [8]
  • programs:
    • gcc
    • make
    • bash
    • sed
    • git
    • pkg-config
    • ts ( for test suite, see /src/ ) Use in Ubunty : sudo apt-get install moreutils
    • doxygen ( for doc)
    • for video :
      • AVConv - Automatic video converter
      • FFmpeg

One can check it with ldd :

 ldd -d -v ./src/mightymandel

or look at /src/Makefile :

-lGLEW -lGL -lrt -lmpfr -lm

Debian packages edit

On Debian Jessie, this suffices to install everything you need to compile:[9]

sudo aptitude install \
        build-essential \
        git \
        libglew-dev \
        libglfw3-dev \
        libmpfr-dev \

Getting the source edit

First time :

 git clone

To update src run ( from program directory):

git pull

Then one can build the program.

Remote repository edit

 git remote show origin

the result :

* remote origin
  Fetch URL:
  Push  URL:
  HEAD branch: master
  Remote branch:
    master tracked
  Local branch configured for 'git pull':
    master merges with remote master
  Local ref configured for 'git push':
    master pushes to master (fast-forwardable)

Version edit

 git describe

Example output :


Building edit

Got to the mightymandel directory :

cd ~/mightymandel

and make :

make -C src clean
make -C src

or, in case of problems :[10]

make -C src EXTRA_LINK_FLAGS="-lGL -lGLU -lglfw3 -lX11 -lXxf86vm -lXrandr -lpthread -lXi"

or edit Makefile and add extra flags, but then you will have problems after updating source.

One can also build and run test suite

Errors edit

glfw edit

Package glfw3 was not found in the pkg-config search path.

Download and install glfw:[11]

cd glfw-3.0.4
hash -r
cmake -G "Unix Makefiles"
sudo make install

Ubuntu 14.10 ( utopic ) has packages for glfw3[12] ( but CUDA packages are only for LTS version of Ubuntu , it is now 13.04)

Next error :

LINK    mightymandel
/usr/bin/ld: /usr/local/lib/libglfw3.a(x11_clipboard.c.o): undefined reference to symbol 'XConvertSelection'
/usr/lib/x86_64-linux-gnu/ error adding symbols: DSO missing from command line

add to makefile ( on Ubuntu 13.10 64-bit) :

	-lGL -lGLU -lglfw3 -lX11 -lXxf86vm -lXrandr -lpthread -lXi \

check edit

file  ./mightymandel
./mightymandel: ELF 64-bit LSB executable, x86-64, version 1 (SYSV), dynamically linked (uses shared libs), for GNU/Linux 2.6.24, BuildID[sha1]=0x2a424b6dcad8de5e29e3f0b17524dbf34de18aaa, not stripped

Running edit

Go to the program directory and :


Version edit


example result :


Examples edit

mm edit

One can run ( from program directory) example parameter file using :

./src/mightymandel ./examples/mm/

par edit

Now mightymandel does not load native fractint par files. They need to be transformed to ppar files.

How to preprocess Fractint par file ?

  • Split txt file ( with parameters for many images ) into single image files ( with 7 lines of original file)
  • splite line with many parameters into lines with one parameter per line ( replace space into newline)
  • add ppar extension :[13]
  • remove all par files without :
    • "type=mandel" ( mightymandel can draw only mandelbrot set )
    • "corners=" or "center-mag="
#!/usr/bin/env bash
# chmod +x
# ./
for f in *.txt; 
 echo " found "$f " file ";
 #split -l 7 $f; 
 awk '/{/{n++}{print > n".p" }' $f
 echo $f "- split when { is found  and add p extension " ;
 rm $f;
 echo " input file " $f " is removed " ;

for f in *.p; 	
 echo " in "$f " file replace space with newline and add ppar extension"
 # tr '{}' '()' < infile > outfile
 tr ' ' '\n' < $f >$f"par"
 rm $f;

for f in *.ppar; 	
 echo "remove blank= empty lines"
 sed -i '/^$/d' $f

Comment : "pre-processing script removes the input without asking, which is a bit rude! And it doesn't support merging lines ending in \ " Claude

Here is by Claude

tmp="$(mktemp -d --tmpdir=. split2ppar.XXXXXXXX)"
for file in "${@}"
  name="$(basename "${file}")"
  file="$(readlink -e "${file}")"
  pushd "${tmp}"
  awk "/{/{n++}{print > \"${name}_\"n\".par\" }" "${file}"
pushd "${tmp}"
for file in *.par
  ident="$(head -n 1 "${file}" | sed 's/ .*$//')"
  mv "${file}" "${ident}.par"       # rename input
  cat < "${ident}.par" |            # read input
  sed 's/;.*$//' |                  # delete ; comments
  tr '\n' ' ' |                     # join on one line with spaces
  sed 's/\\ *//g' |                 # merge lines ended with '\'
  tr -s ' ' |                       # compress multiple ' ' to single ' '
  sed 's/^.*{\([^}]*\)}.*$/\1/' |   # extract the part between { }
  tr ' ' '\n' |                     # split into separate lines
  cat > "${ident}.ppar"             # write output
ls "${tmp}/"*

ppar edit

Preprocessed par files are in /examples/ppar directory. Use :

./src/mightymandel ./examples/ppar/1_02.ppar

test edit

One can run test suite :

 make -C src test EXTRA_LINK_FLAGS="-lGL -lGLU -lglfw3 -lX11 -lXxf86vm -lXrandr -lpthread -lXi"

Example output :

real	56m25.351s
user	33m50.995s
sys	21m38.976s

See also :

  • content of csv file int test directory
  • images in test directory

Benchmark edit

See file BENCHMARKS in program directory for more details

Check hardware edit

  • type and version of the Central processing unit ( CPU ) [14]
  • type and version of the graphics processing unit ( GPU )[15]
  • version of the video card[16] device driver[17] ( DRV ) and which version of OpenGl[18] it supports

Example output :

cat /proc/cpuinfo | grep model\ name

model name	: Intel(R) Core(TM) i7-4770 CPU @ 3.40GHz
model name	: Intel(R) Core(TM) i7-4770 CPU @ 3.40GHz
model name	: Intel(R) Core(TM) i7-4770 CPU @ 3.40GHz
model name	: Intel(R) Core(TM) i7-4770 CPU @ 3.40GHz
model name	: Intel(R) Core(TM) i7-4770 CPU @ 3.40GHz
model name	: Intel(R) Core(TM) i7-4770 CPU @ 3.40GHz
model name	: Intel(R) Core(TM) i7-4770 CPU @ 3.40GHz
model name	: Intel(R) Core(TM) i7-4770 CPU @ 3.40GHz

lspci | grep VGA

01:00.0 VGA compatible controller: NVIDIA Corporation GK104 [GeForce GTX 770] (rev a1)

 glxinfo | grep OpenGL\ version

OpenGL version string: 4.3.0 NVIDIA 319.32

Run benchmark edit

 time ./src/mightymandel --verbose warn --one-shot --de --weight -1.5 --glitch --size "1280x720" examples/mm/,ok,fp32,322.402263,85.265842,14.734158,,

real	0m0.643s
user	0m0.188s
sys	0m0.236s

Images edit

Galleries :

comment edit

To extract comment from ppm file :[20]

 identify -format "%c" 1.ppm


 head -n 2 1.ppm | tail -n 1

example output :

mightymandel -1.8605739600158748e+00 + -9.3437424499999996e-07 i @ 3.5884749956982262e-09

and from png file :

extract k2000.png

colors edit

  • white = exterior of Mandelbrot set
  • black = boundary of Mandebot set ( using DEM )
  • red = glitches
  • yellow = RGB(255,178,0) = known interior of Mandelbrot set
  • blue = uncalculated

Documentation edit

How to make offline doc with doxygen ? edit

How to contribute ? edit

git checkout master
git pull                         # get up to date
git checkout -b new-feature-42   # create a branch for your new feature
# make your changes, check that they compile and run ok
git add your-changed-files
git commit                       # write a description of your changes
git format-patch master          # save your changes to file(s)

If path file was not created try :

git format-patch origin/master #

then email the .patch files to Claude

References edit

  1. License GPL3+
  2. Perturbation glitches
  3. General-purpose computing on graphics processing units in wikipedia
  4. Git repository
  5. The OpenGL Extension Wrangler Library
  6. OpenGl in C
  7. The GNU MPFR Library
  8. librt library
  9. README for mightymandel
  10. Fractal Forum - mightymandel
  11. and Ubuntu
  12. Package: glfw3 (3.0.4-1) [universe]
  13. how-to-add-an-extension-to-all-files-via-terminal
  14. CPU in wikipedia)
  15. GPU in wiki[edia
  16. Video card in wiki
  17. Device driver in wikipedia
  18. OpenGl in wikipedia
  19. online official doc gallery
  20. stackexchange question : How to extract comment from ppm file?
  21. official online doc