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from decimal import Decimal, getcontext def pi_archimedes(n): """ Calculate n iterations of Archimedes PI recurrence relation """ polygon_edge_length_squared = Decimal(2) polygon_sides = 2 for i in range(n): polygon_edge_length_squared = 2  2 * (1  polygon_edge_length_squared / 4).sqrt() polygon_sides *= 2 return polygon_sides * polygon_edge_length_squared.sqrt() def main(): """ Try the series """ places = 50 old_result = None for n in range(10*places): # Do calculations with double precision getcontext().prec = 2*places result = pi_archimedes(n) # Print the result with single precision getcontext().prec = places result = +result # do the rounding on result print("%3d: %s" % (n, result)) if result == old_result: break old_result = result main()
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