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										 |  |  | #!/usr/bin/env python | 
					
						
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							|  |  |  | # | 
					
						
							|  |  |  | # Copyright (C) 2001-2012 Python Software Foundation. All Rights Reserved. | 
					
						
							|  |  |  | # Modified and extended by Stefan Krah. | 
					
						
							|  |  |  | # | 
					
						
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							|  |  |  | # Usage: ../../../python bench.py | 
					
						
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							|  |  |  | import time | 
					
						
							|  |  |  | from math import log, ceil | 
					
						
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										 |  |  | try: | 
					
						
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										 |  |  |     from test.support import import_fresh_module | 
					
						
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										 |  |  | except ImportError: | 
					
						
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										 |  |  |     from test.test_support import import_fresh_module | 
					
						
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							|  |  |  | C = import_fresh_module('decimal', fresh=['_decimal']) | 
					
						
							|  |  |  | P = import_fresh_module('decimal', blocked=['_decimal']) | 
					
						
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										 |  |  | # | 
					
						
							|  |  |  | # NOTE: This is the pi function from the decimal documentation, modified | 
					
						
							|  |  |  | # for benchmarking purposes. Since floats do not have a context, the higher | 
					
						
							|  |  |  | # intermediate precision from the original is NOT used, so the modified | 
					
						
							|  |  |  | # algorithm only gives an approximation to the correctly rounded result. | 
					
						
							|  |  |  | # For serious use, refer to the documentation or the appropriate literature. | 
					
						
							|  |  |  | # | 
					
						
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										 |  |  | def pi_float(): | 
					
						
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										 |  |  |     """native float""" | 
					
						
							|  |  |  |     lasts, t, s, n, na, d, da = 0, 3.0, 3, 1, 0, 0, 24 | 
					
						
							|  |  |  |     while s != lasts: | 
					
						
							|  |  |  |         lasts = s | 
					
						
							|  |  |  |         n, na = n+na, na+8 | 
					
						
							|  |  |  |         d, da = d+da, da+32 | 
					
						
							|  |  |  |         t = (t * n) / d | 
					
						
							|  |  |  |         s += t | 
					
						
							|  |  |  |     return s | 
					
						
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										 |  |  | def pi_cdecimal(): | 
					
						
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										 |  |  |     """cdecimal""" | 
					
						
							|  |  |  |     D = C.Decimal | 
					
						
							|  |  |  |     lasts, t, s, n, na, d, da = D(0), D(3), D(3), D(1), D(0), D(0), D(24) | 
					
						
							|  |  |  |     while s != lasts: | 
					
						
							|  |  |  |         lasts = s | 
					
						
							|  |  |  |         n, na = n+na, na+8 | 
					
						
							|  |  |  |         d, da = d+da, da+32 | 
					
						
							|  |  |  |         t = (t * n) / d | 
					
						
							|  |  |  |         s += t | 
					
						
							|  |  |  |     return s | 
					
						
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										 |  |  | def pi_decimal(): | 
					
						
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										 |  |  |     """decimal""" | 
					
						
							|  |  |  |     D = P.Decimal | 
					
						
							|  |  |  |     lasts, t, s, n, na, d, da = D(0), D(3), D(3), D(1), D(0), D(0), D(24) | 
					
						
							|  |  |  |     while s != lasts: | 
					
						
							|  |  |  |         lasts = s | 
					
						
							|  |  |  |         n, na = n+na, na+8 | 
					
						
							|  |  |  |         d, da = d+da, da+32 | 
					
						
							|  |  |  |         t = (t * n) / d | 
					
						
							|  |  |  |         s += t | 
					
						
							|  |  |  |     return s | 
					
						
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							|  |  |  | def factorial(n, m): | 
					
						
							|  |  |  |     if (n > m): | 
					
						
							|  |  |  |         return factorial(m, n) | 
					
						
							|  |  |  |     elif m == 0: | 
					
						
							|  |  |  |         return 1 | 
					
						
							|  |  |  |     elif n == m: | 
					
						
							|  |  |  |         return n | 
					
						
							|  |  |  |     else: | 
					
						
							|  |  |  |         return factorial(n, (n+m)//2) * factorial((n+m)//2 + 1, m) | 
					
						
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							|  |  |  | print("\n# ======================================================================") | 
					
						
							|  |  |  | print("#                   Calculating pi, 10000 iterations") | 
					
						
							|  |  |  | print("# ======================================================================\n") | 
					
						
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										 |  |  | to_benchmark = [pi_float, pi_decimal] | 
					
						
							|  |  |  | if C is not None: | 
					
						
							|  |  |  |     to_benchmark.insert(1, pi_cdecimal) | 
					
						
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										 |  |  | for prec in [9, 19]: | 
					
						
							|  |  |  |     print("\nPrecision: %d decimal digits\n" % prec) | 
					
						
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										 |  |  |     for func in to_benchmark: | 
					
						
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										 |  |  |         start = time.time() | 
					
						
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										 |  |  |         if C is not None: | 
					
						
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										 |  |  |             C.getcontext().prec = prec | 
					
						
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										 |  |  |         P.getcontext().prec = prec | 
					
						
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										 |  |  |         for i in range(10000): | 
					
						
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										 |  |  |             x = func() | 
					
						
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										 |  |  |         print("%s:" % func.__name__.replace("pi_", "")) | 
					
						
							|  |  |  |         print("result: %s" % str(x)) | 
					
						
							|  |  |  |         print("time: %fs\n" % (time.time()-start)) | 
					
						
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							|  |  |  | print("\n# ======================================================================") | 
					
						
							|  |  |  | print("#                               Factorial") | 
					
						
							|  |  |  | print("# ======================================================================\n") | 
					
						
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										 |  |  | if C is not None: | 
					
						
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										 |  |  |     c = C.getcontext() | 
					
						
							|  |  |  |     c.prec = C.MAX_PREC | 
					
						
							|  |  |  |     c.Emax = C.MAX_EMAX | 
					
						
							|  |  |  |     c.Emin = C.MIN_EMIN | 
					
						
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							|  |  |  | for n in [100000, 1000000]: | 
					
						
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							|  |  |  |     print("n = %d\n" % n) | 
					
						
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										 |  |  |     if C is not None: | 
					
						
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										 |  |  |         # C version of decimal | 
					
						
							|  |  |  |         start_calc = time.time() | 
					
						
							|  |  |  |         x = factorial(C.Decimal(n), 0) | 
					
						
							|  |  |  |         end_calc = time.time() | 
					
						
							|  |  |  |         start_conv = time.time() | 
					
						
							|  |  |  |         sx = str(x) | 
					
						
							|  |  |  |         end_conv = time.time() | 
					
						
							|  |  |  |         print("cdecimal:") | 
					
						
							|  |  |  |         print("calculation time: %fs" % (end_calc-start_calc)) | 
					
						
							|  |  |  |         print("conversion time: %fs\n" % (end_conv-start_conv)) | 
					
						
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							|  |  |  |     # Python integers | 
					
						
							|  |  |  |     start_calc = time.time() | 
					
						
							|  |  |  |     y = factorial(n, 0) | 
					
						
							|  |  |  |     end_calc = time.time() | 
					
						
							|  |  |  |     start_conv = time.time() | 
					
						
							|  |  |  |     sy = str(y) | 
					
						
							|  |  |  |     end_conv =  time.time() | 
					
						
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							|  |  |  |     print("int:") | 
					
						
							|  |  |  |     print("calculation time: %fs" % (end_calc-start_calc)) | 
					
						
							|  |  |  |     print("conversion time: %fs\n\n" % (end_conv-start_conv)) | 
					
						
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										 |  |  |     if C is not None: | 
					
						
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										 |  |  |         assert(sx == sy) |