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generating the values of pi to a known number of decimal places
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def compute_pi(n): | |
""" | |
This function calculates the value of pi to 'n' number of decimal places | |
Args: | |
n: precision(Decimal places) | |
Returns: | |
pi: the value of pi to n-decimal places | |
""" | |
decimal.getcontext().prec = n + 3 | |
decimal.getcontext().Emax = 999999999 | |
C = 426880 * decimal.Decimal(10005).sqrt() | |
K = decimal.Decimal(6) | |
M = decimal.Decimal(1) | |
X = decimal.Decimal(1) | |
L = decimal.Decimal(13591409) | |
S = L | |
# For better precision, we calculate to n+3 and truncate the last two digits | |
for i in range(1, n+3): | |
M = decimal.Decimal(M* ((1728*i*i*i)-(2592*i*i)+(1104*i)-120)/(i*i*i)) | |
L = decimal.Decimal(545140134+L) | |
X = decimal.Decimal(-262537412640768000*X) | |
S += decimal.Decimal((M*L) / X) | |
return str(C/S)[:-2] # Pi is C/S |
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