135 lines
2.9 KiB
Python
135 lines
2.9 KiB
Python
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#!/usr/bin/env python
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from sympy.core.random import random
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from sympy.core.numbers import (I, Integer, pi)
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from sympy.core.symbol import Symbol
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from sympy.core.sympify import sympify
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from sympy.functions.elementary.miscellaneous import sqrt
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from sympy.functions.elementary.trigonometric import sin
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from sympy.polys.polytools import factor
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from sympy.simplify.simplify import simplify
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from sympy.abc import x, y, z
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from timeit import default_timer as clock
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def bench_R1():
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"real(f(f(f(f(f(f(f(f(f(f(i/2)))))))))))"
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def f(z):
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return sqrt(Integer(1)/3)*z**2 + I/3
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f(f(f(f(f(f(f(f(f(f(I/2)))))))))).as_real_imag()[0]
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def bench_R2():
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"Hermite polynomial hermite(15, y)"
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def hermite(n, y):
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if n == 1:
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return 2*y
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if n == 0:
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return 1
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return (2*y*hermite(n - 1, y) - 2*(n - 1)*hermite(n - 2, y)).expand()
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hermite(15, y)
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def bench_R3():
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"a = [bool(f==f) for _ in range(10)]"
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f = x + y + z
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[bool(f == f) for _ in range(10)]
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def bench_R4():
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# we don't have Tuples
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pass
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def bench_R5():
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"blowup(L, 8); L=uniq(L)"
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def blowup(L, n):
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for i in range(n):
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L.append( (L[i] + L[i + 1]) * L[i + 2] )
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def uniq(x):
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v = set(x)
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return v
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L = [x, y, z]
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blowup(L, 8)
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L = uniq(L)
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def bench_R6():
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"sum(simplify((x+sin(i))/x+(x-sin(i))/x) for i in range(100))"
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sum(simplify((x + sin(i))/x + (x - sin(i))/x) for i in range(100))
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def bench_R7():
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"[f.subs(x, random()) for _ in range(10**4)]"
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f = x**24 + 34*x**12 + 45*x**3 + 9*x**18 + 34*x**10 + 32*x**21
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[f.subs(x, random()) for _ in range(10**4)]
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def bench_R8():
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"right(x^2,0,5,10^4)"
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def right(f, a, b, n):
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a = sympify(a)
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b = sympify(b)
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n = sympify(n)
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x = f.atoms(Symbol).pop()
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Deltax = (b - a)/n
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c = a
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est = 0
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for i in range(n):
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c += Deltax
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est += f.subs(x, c)
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return est*Deltax
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right(x**2, 0, 5, 10**4)
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def _bench_R9():
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"factor(x^20 - pi^5*y^20)"
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factor(x**20 - pi**5*y**20)
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def bench_R10():
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"v = [-pi,-pi+1/10..,pi]"
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def srange(min, max, step):
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v = [min]
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while (max - v[-1]).evalf() > 0:
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v.append(v[-1] + step)
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return v[:-1]
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srange(-pi, pi, sympify(1)/10)
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def bench_R11():
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"a = [random() + random()*I for w in [0..1000]]"
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[random() + random()*I for w in range(1000)]
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def bench_S1():
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"e=(x+y+z+1)**7;f=e*(e+1);f.expand()"
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e = (x + y + z + 1)**7
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f = e*(e + 1)
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f.expand()
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if __name__ == '__main__':
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benchmarks = [
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bench_R1,
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bench_R2,
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bench_R3,
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bench_R5,
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bench_R6,
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bench_R7,
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bench_R8,
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#_bench_R9,
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bench_R10,
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bench_R11,
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#bench_S1,
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]
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report = []
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for b in benchmarks:
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t = clock()
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b()
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t = clock() - t
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print("%s%65s: %f" % (b.__name__, b.__doc__, t))
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