# # Copyright (C) 2001 Python Software Foundation. All Rights Reserved. # Modified and extended by Stefan Krah. # # Usage: ../../../python bench.py import time import sys from functools import wraps from test.support.import_helper import import_fresh_module C = import_fresh_module('decimal', fresh=['_decimal']) P = import_fresh_module('decimal', blocked=['_decimal']) # # 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. # def pi_float(): """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 def pi_cdecimal(): """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 def pi_decimal(): """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 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) # Fix failed test cases caused by CVE-2020-10735 patch. # See gh-95778 for details. def increase_int_max_str_digits(maxdigits): def _increase_int_max_str_digits(func, maxdigits=maxdigits): @wraps(func) def wrapper(*args, **kwargs): previous_int_limit = sys.get_int_max_str_digits() sys.set_int_max_str_digits(maxdigits) ans = func(*args, **kwargs) sys.set_int_max_str_digits(previous_int_limit) return ans return wrapper return _increase_int_max_str_digits def test_calc_pi(): print("\n# ======================================================================") print("# Calculating pi, 10000 iterations") print("# ======================================================================\n") to_benchmark = [pi_float, pi_decimal] if C is not None: to_benchmark.insert(1, pi_cdecimal) for prec in [9, 19]: print("\nPrecision: %d decimal digits\n" % prec) for func in to_benchmark: start = time.time() if C is not None: C.getcontext().prec = prec P.getcontext().prec = prec for i in range(10000): x = func() print("%s:" % func.__name__.replace("pi_", "")) print("result: %s" % str(x)) print("time: %fs\n" % (time.time()-start)) @increase_int_max_str_digits(maxdigits=10000000) def test_factorial(): print("\n# ======================================================================") print("# Factorial") print("# ======================================================================\n") if C is not None: c = C.getcontext() c.prec = C.MAX_PREC c.Emax = C.MAX_EMAX c.Emin = C.MIN_EMIN for n in [100000, 1000000]: print("n = %d\n" % n) if C is not None: # 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)) # 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() print("int:") print("calculation time: %fs" % (end_calc-start_calc)) print("conversion time: %fs\n\n" % (end_conv-start_conv)) if C is not None: assert(sx == sy) if __name__ == "__main__": test_calc_pi() test_factorial()