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matmul_v2.py
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import sys, array
# Writen by Attractive Chaos; distributed under the MIT license
# Modified by brentp: using array instead of list
# reference: http://www.syntagmatic.net/matrix-multiplication-in-python/
def matmul(a, b): # FIXME: no error checking
ra, rb, rb0 = list(range(len(a))), list(range(len(b))), list(range(len(b[0])))
c = [array.array('d', [b[j][i] for j in rb]) for i in rb0]
d = [array.array('d', [0 for j in rb0]) for i in ra] # transpose
for i in ra:
for j in rb0:
s, ai, cj = 0, a[i], c[j]
for k in rb: s += ai[k] * cj[k]
d[i][j] = s
return d
def main():
n = 100
if (len(sys.argv) > 1): n = int(sys.argv[1])
n = int(float(n)/2) * 2 # FIXME: I am sure there are better ways to do this...
tmp = 1. / n / n
a = [[tmp * (i - j) * (i + j) for j in range(n)] for i in range(n)]
b = [[tmp * (i - j) * (i + j) for j in range(n)] for i in range(n)]
d = matmul(a, b)
print(d[int(n/2)][int(n/2)])
if __name__ == '__main__': main()