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Edit and run



In [2]:

    
%pylab inline
import math









    



Populating the interactive namespace from numpy and matplotlib

Test scaling of spectral values. We can directly scale .r and .i instead of calculating magnitude and phase. This avoids trouble with atan2() computations which are sensitive to float precission.



In [3]:

    
def scale(r,i,f):
    m = math.sqrt(r*r+i*i)
    p = math.atan2(i,r)
    print "%5.3f, %5.3f" % (f * m * math.cos(p), f * m * math.sin(p))
    print "%5.3f, %5.3f" % (f * r, f * i)



In [4]:

    
scale(1,1,2)









    



2.000, 2.000
2.000, 2.000



In [5]:

    
scale(1,0,2)









    



2.000, 0.000
2.000, 0.000



In [6]:

    
scale(1,-1,2)









    



2.000, -2.000
2.000, -2.000



In [7]:

    
scale(0,1,2)









    



0.000, 2.000
0.000, 2.000



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