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Five Ways of Generating a Mandelbrot Set
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| Organization: | RMIT University |
| Department: | Department of Mathematics |
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0204-107
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1993-01-01
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Five different methods for calculating a particular part of the Mandelbrot set using Mathematica are demonstrated in this notebook.
The first method is to write a function in Mathematica and then execute that function -- this method is very slow and takes about half an hour to execute for a 128X128 resolution problem. The second and third methods are to compile the function with either the Mathematica or InterCall compilers. This speeds up execution time by a factor of 20 and 60, respectively. The fourth and fifth methods, are to either Import a C-program with InterCall, or to Install it with MathLink. In either case the speedup in execution time is a factor of 180, i.e., down to about 10 seconds.
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Programming, MathLink Examples, InterCall Examples, Programming Examples, Mandelbrot sets, interfacing, courseware, engineering, Graphics examples, life sciences, pure mathematics, applied mathematics
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| mandel.txt (17.6 KB) - Plain-text copy of the notebook | | mandel.nb (200 KB) - Mathematica Notebook |
Files specific to Mathematica 2.2 version:
| | mandel.ma (144.7 KB) - Mathematica Notebook 2.2 or older |
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