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"""
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Tests related to the ``symbol`` attribute of the ABCPolyBase class.
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"""
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import pytest
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import numpy.polynomial as poly
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from numpy._core import array
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from numpy.testing import assert_, assert_equal, assert_raises
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class TestInit:
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"""
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Test polynomial creation with symbol kwarg.
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"""
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c = [1, 2, 3]
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def test_default_symbol(self):
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p = poly.Polynomial(self.c)
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assert_equal(p.symbol, 'x')
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@pytest.mark.parametrize(('bad_input', 'exception'), (
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('', ValueError),
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('3', ValueError),
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(None, TypeError),
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(1, TypeError),
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))
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def test_symbol_bad_input(self, bad_input, exception):
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with pytest.raises(exception):
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p = poly.Polynomial(self.c, symbol=bad_input)
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@pytest.mark.parametrize('symbol', (
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'x',
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'x_1',
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'A',
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'xyz',
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'β',
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))
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def test_valid_symbols(self, symbol):
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"""
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Values for symbol that should pass input validation.
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"""
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p = poly.Polynomial(self.c, symbol=symbol)
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assert_equal(p.symbol, symbol)
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def test_property(self):
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"""
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'symbol' attribute is read only.
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"""
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p = poly.Polynomial(self.c, symbol='x')
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with pytest.raises(AttributeError):
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p.symbol = 'z'
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def test_change_symbol(self):
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p = poly.Polynomial(self.c, symbol='y')
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# Create new polynomial from p with different symbol
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pt = poly.Polynomial(p.coef, symbol='t')
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assert_equal(pt.symbol, 't')
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class TestUnaryOperators:
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p = poly.Polynomial([1, 2, 3], symbol='z')
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def test_neg(self):
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n = -self.p
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assert_equal(n.symbol, 'z')
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def test_scalarmul(self):
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out = self.p * 10
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assert_equal(out.symbol, 'z')
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def test_rscalarmul(self):
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out = 10 * self.p
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assert_equal(out.symbol, 'z')
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def test_pow(self):
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out = self.p ** 3
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assert_equal(out.symbol, 'z')
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@pytest.mark.parametrize(
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'rhs',
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(
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poly.Polynomial([4, 5, 6], symbol='z'),
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array([4, 5, 6]),
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),
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)
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class TestBinaryOperatorsSameSymbol:
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"""
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Ensure symbol is preserved for numeric operations on polynomials with
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the same symbol
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"""
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p = poly.Polynomial([1, 2, 3], symbol='z')
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def test_add(self, rhs):
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out = self.p + rhs
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assert_equal(out.symbol, 'z')
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def test_sub(self, rhs):
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out = self.p - rhs
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assert_equal(out.symbol, 'z')
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def test_polymul(self, rhs):
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out = self.p * rhs
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assert_equal(out.symbol, 'z')
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def test_divmod(self, rhs):
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for out in divmod(self.p, rhs):
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assert_equal(out.symbol, 'z')
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def test_radd(self, rhs):
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out = rhs + self.p
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assert_equal(out.symbol, 'z')
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def test_rsub(self, rhs):
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out = rhs - self.p
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assert_equal(out.symbol, 'z')
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def test_rmul(self, rhs):
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out = rhs * self.p
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assert_equal(out.symbol, 'z')
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def test_rdivmod(self, rhs):
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for out in divmod(rhs, self.p):
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assert_equal(out.symbol, 'z')
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class TestBinaryOperatorsDifferentSymbol:
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p = poly.Polynomial([1, 2, 3], symbol='x')
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other = poly.Polynomial([4, 5, 6], symbol='y')
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ops = (p.__add__, p.__sub__, p.__mul__, p.__floordiv__, p.__mod__)
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@pytest.mark.parametrize('f', ops)
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def test_binops_fails(self, f):
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assert_raises(ValueError, f, self.other)
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class TestEquality:
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p = poly.Polynomial([1, 2, 3], symbol='x')
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def test_eq(self):
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other = poly.Polynomial([1, 2, 3], symbol='x')
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assert_(self.p == other)
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def test_neq(self):
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other = poly.Polynomial([1, 2, 3], symbol='y')
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assert_(not self.p == other)
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class TestExtraMethods:
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"""
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Test other methods for manipulating/creating polynomial objects.
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"""
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p = poly.Polynomial([1, 2, 3, 0], symbol='z')
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def test_copy(self):
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other = self.p.copy()
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assert_equal(other.symbol, 'z')
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def test_trim(self):
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other = self.p.trim()
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assert_equal(other.symbol, 'z')
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def test_truncate(self):
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other = self.p.truncate(2)
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assert_equal(other.symbol, 'z')
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@pytest.mark.parametrize('kwarg', (
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{'domain': [-10, 10]},
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{'window': [-10, 10]},
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{'kind': poly.Chebyshev},
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))
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def test_convert(self, kwarg):
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other = self.p.convert(**kwarg)
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assert_equal(other.symbol, 'z')
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def test_integ(self):
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other = self.p.integ()
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assert_equal(other.symbol, 'z')
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def test_deriv(self):
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other = self.p.deriv()
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assert_equal(other.symbol, 'z')
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def test_composition():
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p = poly.Polynomial([3, 2, 1], symbol="t")
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q = poly.Polynomial([5, 1, 0, -1], symbol="λ_1")
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r = p(q)
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assert r.symbol == "λ_1"
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#
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# Class methods that result in new polynomial class instances
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#
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def test_fit():
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x, y = (range(10),) * 2
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p = poly.Polynomial.fit(x, y, deg=1, symbol='z')
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assert_equal(p.symbol, 'z')
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def test_froomroots():
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roots = [-2, 2]
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p = poly.Polynomial.fromroots(roots, symbol='z')
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assert_equal(p.symbol, 'z')
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def test_identity():
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p = poly.Polynomial.identity(domain=[-1, 1], window=[5, 20], symbol='z')
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assert_equal(p.symbol, 'z')
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def test_basis():
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p = poly.Polynomial.basis(3, symbol='z')
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assert_equal(p.symbol, 'z')
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