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