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author | Julian T <julian@jtle.dk> | 2020-04-01 17:56:56 +0200 |
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committer | Julian T <julian@jtle.dk> | 2020-04-01 17:56:56 +0200 |
commit | a2e57f7df5aed74991002b4940c7f1152d83235b (patch) | |
tree | 843081fa369f9c47f4ae98fe7c35a56e52d658b0 /sem4/hpp/miniproject/naive.py | |
parent | a76d25f222615a7a211f737d32c0b6d79992a8a2 (diff) |
Added first to working mangelbrot implementations for hpp
Diffstat (limited to 'sem4/hpp/miniproject/naive.py')
-rw-r--r-- | sem4/hpp/miniproject/naive.py | 70 |
1 files changed, 70 insertions, 0 deletions
diff --git a/sem4/hpp/miniproject/naive.py b/sem4/hpp/miniproject/naive.py new file mode 100644 index 0000000..765878a --- /dev/null +++ b/sem4/hpp/miniproject/naive.py @@ -0,0 +1,70 @@ +#!/usr/bin/env python3 +import numpy as np +import matplotlib.pyplot as plt +import time + +# c-mesh limits +limitre = ( -2, 1 ) +limitim = ( -1.5, 1.5 ) + +def lota(c, T, l): + """ + Implement the ι function used in mangelbrot + + :param c: Complex number from the c-mesh + :param T: Mangelbrot threshold + :param l: Iterations + """ + + z = 0 + for i in range(l): + z = z*z + c + + # Check if we found or z + if np.abs(z) > T: + return i + + # If we did not find z, use l + return l + +def mangel(pre, pim, T, l): + """ + Calculate the mangelbrot image + (pre, pim) discribes the image size. Use T and l to tune the mangelbrot + This function uses the global variables limitre and limitim to determine + the c-mesh range. + + :param pre: Number of real numbers used + :param pim: Number of imaginary numbers + :param T: Mangelbrot threshold + :param l: Iterations + """ + + # Preallocate result array + rs = np.zeros((pre, pim)) + + # Calculate scaling variables + sre = ( limitre[1] - limitre[0] ) / (pre-1) + sim = ( limitim[1] - limitim[0] ) / (pim-1) + + # Loop all pixels + for re in range(pre): + for im in range(pim): + # Calculate the complex number using the scalers + c = limitre[0] + limitim[0] * 1j + sre * re + 1j * sim * im + + # Calculate the ι + rs[re,im] = lota(c, T, l) / l + + return rs + + +start = time.time() +arr = mangel(500, 500, 2, 100) +end = time.time() + +plt.imshow(arr, cmap=plt.cm.hot, vmin=0, vmax=1) +plt.savefig("test.png") +plt.savefig("test.pdf") + +print(f"Took {end - start} seconds") |