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- from sympy.parsing.maxima import parse_maxima
- from sympy.core.numbers import (E, Rational, oo)
- from sympy.core.symbol import Symbol
- from sympy.functions.combinatorial.factorials import factorial
- from sympy.functions.elementary.complexes import Abs
- from sympy.functions.elementary.exponential import log
- from sympy.functions.elementary.trigonometric import (cos, sin)
- from sympy.abc import x
- n = Symbol('n', integer=True)
- def test_parser():
- assert Abs(parse_maxima('float(1/3)') - 0.333333333) < 10**(-5)
- assert parse_maxima('13^26') == 91733330193268616658399616009
- assert parse_maxima('sin(%pi/2) + cos(%pi/3)') == Rational(3, 2)
- assert parse_maxima('log(%e)') == 1
- def test_injection():
- parse_maxima('c: x+1', globals=globals())
- # c created by parse_maxima
- assert c == x + 1 # noqa:F821
- parse_maxima('g: sqrt(81)', globals=globals())
- # g created by parse_maxima
- assert g == 9 # noqa:F821
- def test_maxima_functions():
- assert parse_maxima('expand( (x+1)^2)') == x**2 + 2*x + 1
- assert parse_maxima('factor( x**2 + 2*x + 1)') == (x + 1)**2
- assert parse_maxima('2*cos(x)^2 + sin(x)^2') == 2*cos(x)**2 + sin(x)**2
- assert parse_maxima('trigexpand(sin(2*x)+cos(2*x))') == \
- -1 + 2*cos(x)**2 + 2*cos(x)*sin(x)
- assert parse_maxima('solve(x^2-4,x)') == [-2, 2]
- assert parse_maxima('limit((1+1/x)^x,x,inf)') == E
- assert parse_maxima('limit(sqrt(-x)/x,x,0,minus)') is -oo
- assert parse_maxima('diff(x^x, x)') == x**x*(1 + log(x))
- assert parse_maxima('sum(k, k, 1, n)', name_dict={
- "n": Symbol('n', integer=True),
- "k": Symbol('k', integer=True)
- }) == (n**2 + n)/2
- assert parse_maxima('product(k, k, 1, n)', name_dict={
- "n": Symbol('n', integer=True),
- "k": Symbol('k', integer=True)
- }) == factorial(n)
- assert parse_maxima('ratsimp((x^2-1)/(x+1))') == x - 1
- assert Abs( parse_maxima(
- 'float(sec(%pi/3) + csc(%pi/3))') - 3.154700538379252) < 10**(-5)
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