Cody

# Problem 81. Mandelbrot Numbers

Solution 320385

Submitted on 17 Sep 2013 by Kevin Hellemans
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### Test Suite

Test Status Code Input and Output
1   Pass
%% C = 0; lim = 5; N_correct = 5; assert(isequal(mandelbrot(C,lim),N_correct))

z = 0 0 stop = 0 z = 0 0 0 stop = 0 z = 0 0 0 0 stop = 0 z = 0 0 0 0 0 stop = 0 z = 0 0 0 0 0 0 stop = 1

2   Pass
%% C = [0 0.5; 1 4]; lim = 5; N_correct = [5 4; 2 1]; assert(isequal(mandelbrot(C,lim),N_correct))

z = 0 0 stop = 0 z = 0 0 0 stop = 0 z = 0 0 0 0 stop = 0 z = 0 0 0 0 0 stop = 0 z = 0 0 0 0 0 0 stop = 1 z = 0.5000 0.7500 0 0 0 stop = 0 z = 0.5000 0.7500 1.0625 0 0 stop = 0 z = 0.5000 0.7500 1.0625 1.6289 0 stop = 0 z = 0.5000 0.7500 1.0625 1.6289 3.1533 stop = 1 z = 1.0000 2.0000 1.0625 1.6289 stop = 0 z = 1.0000 2.0000 5.0000 1.6289 stop = 1 z = 4 20 5 stop = 1

3   Pass
%% i = sqrt(-1); C = [i 1 -2*i -2]; lim = 10; N_correct = [10 2 1 10]; assert(isequal(mandelbrot(C,lim),N_correct))

z = 0.0000 + 1.0000i -1.0000 + 1.0000i stop = 0 z = 0.0000 + 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i stop = 0 z = 0.0000 + 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i stop = 0 z = 0.0000 + 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i stop = 0 z = Columns 1 through 5 0.0000 + 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i Column 6 -1.0000 + 1.0000i stop = 0 z = Columns 1 through 5 0.0000 + 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i Columns 6 through 7 -1.0000 + 1.0000i 0.0000 - 1.0000i stop = 0 z = Columns 1 through 5 0.0000 + 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i Columns 6 through 8 -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i stop = 0 z = Columns 1 through 5 0.0000 + 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i Columns 6 through 9 -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i stop = 0 z = Columns 1 through 5 0.0000 + 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i Columns 6 through 10 -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i stop = 0 z = Columns 1 through 5 0.0000 + 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i Columns 6 through 10 -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i Column 11 0.0000 - 1.0000i stop = 1 z = Columns 1 through 5 1.0000 + 0.0000i 2.0000 + 0.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i Columns 6 through 10 -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i stop = 0 z = Columns 1 through 5 1.0000 + 0.0000i 2.0000 + 0.0000i 5.0000 + 0.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i Columns 6 through 10 -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i stop = 1 z = Columns 1 through 5 0.0000 - 2.0000i -4.0000 - 2.0000i 5.0000 + 0.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i Columns 6 through 9 -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i stop = 1 z = Columns 1 through 5 -2.0000 + 0.0000i 2.0000 + 0.0000i 5.0000 + 0.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i Columns 6 through 8 -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i stop = 0 z = Columns 1 through 5 -2.0000 + 0.0000i 2.0000 + 0.0000i 2.0000 + 0.0000i -1.0000 + 1.0000i 0.0000 - 1.0000i Columns 6 through 8 -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i stop = 0 z = Columns 1 through 5 -2.0000 + 0.0000i 2.0000 + 0.0000i 2.0000 + 0.0000i 2.0000 + 0.0000i 0.0000 - 1.0000i Columns 6 through 8 -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i stop = 0 z = Columns 1 through 5 -2.0000 + 0.0000i 2.0000 + 0.0000i 2.0000 + 0.0000i 2.0000 + 0.0000i 2.0000 + 0.0000i Columns 6 through 8 -1.0000 + 1.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i stop = 0 z = Columns 1 through 5 -2.0000 + 0.0000i 2.0000 + 0.0000i 2.0000 + 0.0000i 2.0000 + 0.0000i 2.0000 + 0.0000i Columns 6 through 8 2.0000 + 0.0000i 0.0000 - 1.0000i -1.0000 + 1.0000i stop = 0 z = Columns 1 through 5 -2.0000 + 0.0000i 2.0000 + 0.0000i 2.0000 + 0.0000i 2.0000 + 0.0000i 2.0000 + 0.0000i Columns 6 through 8 2.0000 + 0.0000i 2.0000 + 0.0000i -1.0000 + 1.0000i stop = 0 z = -2 2 2 2 2 2 2 2 stop = 0 z = -2 2 2 2 2 2 2 2 2 stop = 0 z = -2 2 2 2 2 2 2 2 2 2 stop = 0 z = -2 2 2 2 2 2 2 2 2 2 2 stop = 1