78 lines
3.1 KiB
Python
78 lines
3.1 KiB
Python
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from sympy.core.symbol import symbols, Symbol
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from sympy.functions import Max
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from sympy.plotting.experimental_lambdify import experimental_lambdify
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from sympy.plotting.intervalmath.interval_arithmetic import \
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interval, intervalMembership
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# Tests for exception handling in experimental_lambdify
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def test_experimental_lambify():
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x = Symbol('x')
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f = experimental_lambdify([x], Max(x, 5))
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# XXX should f be tested? If f(2) is attempted, an
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# error is raised because a complex produced during wrapping of the arg
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# is being compared with an int.
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assert Max(2, 5) == 5
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assert Max(5, 7) == 7
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x = Symbol('x-3')
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f = experimental_lambdify([x], x + 1)
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assert f(1) == 2
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def test_composite_boolean_region():
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x, y = symbols('x y')
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r1 = (x - 1)**2 + y**2 < 2
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r2 = (x + 1)**2 + y**2 < 2
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f = experimental_lambdify((x, y), r1 & r2)
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a = (interval(-0.1, 0.1), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(True, True)
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a = (interval(-1.1, -0.9), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(False, True)
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a = (interval(0.9, 1.1), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(False, True)
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a = (interval(-0.1, 0.1), interval(1.9, 2.1))
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assert f(*a) == intervalMembership(False, True)
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f = experimental_lambdify((x, y), r1 | r2)
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a = (interval(-0.1, 0.1), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(True, True)
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a = (interval(-1.1, -0.9), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(True, True)
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a = (interval(0.9, 1.1), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(True, True)
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a = (interval(-0.1, 0.1), interval(1.9, 2.1))
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assert f(*a) == intervalMembership(False, True)
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f = experimental_lambdify((x, y), r1 & ~r2)
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a = (interval(-0.1, 0.1), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(False, True)
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a = (interval(-1.1, -0.9), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(False, True)
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a = (interval(0.9, 1.1), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(True, True)
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a = (interval(-0.1, 0.1), interval(1.9, 2.1))
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assert f(*a) == intervalMembership(False, True)
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f = experimental_lambdify((x, y), ~r1 & r2)
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a = (interval(-0.1, 0.1), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(False, True)
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a = (interval(-1.1, -0.9), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(True, True)
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a = (interval(0.9, 1.1), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(False, True)
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a = (interval(-0.1, 0.1), interval(1.9, 2.1))
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assert f(*a) == intervalMembership(False, True)
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f = experimental_lambdify((x, y), ~r1 & ~r2)
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a = (interval(-0.1, 0.1), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(False, True)
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a = (interval(-1.1, -0.9), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(False, True)
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a = (interval(0.9, 1.1), interval(-0.1, 0.1))
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assert f(*a) == intervalMembership(False, True)
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a = (interval(-0.1, 0.1), interval(1.9, 2.1))
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assert f(*a) == intervalMembership(True, True)
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