Opened 7 months ago
Last modified 6 weeks ago
#23720 needs_work enhancement
Plotting Mandelbrot Set for General Polynomials
Reported by:  bbarros  Owned by:  

Priority:  minor  Milestone:  sage8.1 
Component:  dynamics  Keywords:  complexdynamics, gsoc2017 
Cc:  bhutz, atowsley  Merged in:  
Authors:  Ben Barros  Reviewers:  Ben Hutz 
Report Upstream:  N/A  Work issues:  
Branch:  u/bbarros/23720 (Commits)  Commit:  afbc43853d508da64b588be17df828d5d2106775 
Dependencies:  Stopgaps: 
Description
This ticket is the part of a series of tickets that I have opened this summer in an effort to improve the functionality for complex dynamics in Sage. I have enhanced the mandelbrot_plot() function to support general polynomial functions. The map z^2 + c
is still hardcoded so the function will not lose any speed for the z^2 + c
case. For more information on my Google Summer of Code Project you can visit the following link: [https://benbarros.wordpress.com/]
Change History (6)
comment:1 Changed 7 months ago by
 Branch set to u/bbarros/23720
comment:2 Changed 7 months ago by
 Commit set to 6443ab7fe3f5649992e90c0e9a7a34b4c5514a73
 Status changed from new to needs_review
comment:3 Changed 7 months ago by
 Commit changed from 6443ab7fe3f5649992e90c0e9a7a34b4c5514a73 to c141f070ac00807dd11e098f3c4a8f2e9c8bd028
Branch pushed to git repo; I updated commit sha1. New commits:
c141f07  23720: Fixed bug in external_ray function

comment:4 Changed 7 months ago by
Patchbot says the external_ray
and mandelbrot_plot
methods give "WARNING: Bullet list ends without a blank line; unexpected unindent." when building the documentation.
comment:5 Changed 7 months ago by
 Reviewers set to Ben Hutz
 Status changed from needs_review to needs_work
In addition to the docbuild error here are a couple more:
 You should have a doctest that utilizes the symbolic critical point code
There is some trouble with the initial parsing. When you say P.base() do you P.base_ring()? Will you allow function fields or rational functions in the parameter? Whatever you decide it needs to be documented in mandelbrot_plot().
f = z^2 +1/c
 weird error
 the following does not work and I think it should.
R.<c> = CC[] S.<z> = R[] f = z^2 +c mandelbrot_plot(f)
 raise ValueError? needs an error message
 The following has a uninformative error
R.<z,x,c> = CC[] f = z^2 + c
comment:6 Changed 6 weeks ago by
 Commit changed from c141f070ac00807dd11e098f3c4a8f2e9c8bd028 to afbc43853d508da64b588be17df828d5d2106775
New commits:
23720: Added mandelbrot_plot support for general polynomials
Merge branch 'master' into 23720