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January 22, 2012 03:22
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Mandelbrot with NumPy and Fortran
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program Mandelbrot | |
use types, only: dp | |
use constants, only: I | |
use utils, only: savetxt, linspace, meshgrid | |
implicit none | |
integer, parameter :: ITERATIONS = 100 | |
integer, parameter :: DENSITY = 1000 | |
real(dp) :: x_min, x_max, y_min, y_max | |
real(dp), dimension(DENSITY, DENSITY) :: x, y | |
complex(dp), dimension(DENSITY, DENSITY) :: c, z | |
integer, dimension(DENSITY, DENSITY) :: fractal | |
integer :: n | |
x_min = -2.68_dp | |
x_max = 1.32_dp | |
y_min = -1.5_dp | |
y_max = 1.5_dp | |
call meshgrid(linspace(x_min, x_max, DENSITY), & | |
linspace(y_min, y_max, DENSITY), x, y) | |
c = x + I*y | |
z = c | |
fractal = 255 | |
do n = 1, ITERATIONS | |
print "('Iteration ', i0)", n | |
where (abs(z) <= 10) z = z**2 + c | |
where (fractal == 255 .and. abs(z) > 10) fractal = 254 * (n-1) / ITERATIONS | |
end do | |
print *, "Saving..." | |
call savetxt("fractal.dat", log(real(fractal, dp))) | |
call savetxt("coord.dat", reshape([x_min, x_max, y_min, y_max], [4, 1])) | |
end program |
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import numpy as np | |
ITERATIONS = 100 | |
DENSITY = 1000 | |
x_min, x_max = -2.68, 1.32 | |
y_min, y_max = -1.5, 1.5 | |
x, y = np.meshgrid(np.linspace(x_min, x_max, DENSITY), | |
np.linspace(y_min, y_max, DENSITY)) | |
c = x + 1j*y | |
z = c.copy() | |
fractal = np.zeros(z.shape, dtype=np.uint8) + 255 | |
for n in range(ITERATIONS): | |
print "Iteration %d" % n | |
mask = abs(z) <= 10 | |
z[mask] *= z[mask] | |
z[mask] += c[mask] | |
fractal[(fractal == 255) & (-mask)] = 254. * n / ITERATIONS | |
print "Saving..." | |
np.savetxt("fractal.dat", np.log(fractal)) | |
np.savetxt("coord.dat", [x_min, x_max, y_min, y_max]) |
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