def check_sub(Poly):
# This checks commutation, not numerical correctness
c1 = list(random((4, )) + .5)
c2 = list(random((3, )) + .5)
p1 = Poly(c1)
p2 = Poly(c2)
p3 = p1 - p2
assert_poly_almost_equal(p2 - p1, -p3)
assert_poly_almost_equal(p1 - c2, p3)
assert_poly_almost_equal(c2 - p1, -p3)
assert_poly_almost_equal(p1 - tuple(c2), p3)
assert_poly_almost_equal(tuple(c2) - p1, -p3)
assert_poly_almost_equal(p1 - np.array(c2), p3)
assert_poly_almost_equal(np.array(c2) - p1, -p3)
assert_raises(TypeError, p1.__sub__, Poly([0], domain=Poly.domain + 1))
assert_raises(TypeError, p1.__sub__, Poly([0], window=Poly.window + 1))
if Poly is Polynomial:
assert_raises(TypeError, p1.__sub__, Chebyshev([0]))
else:
assert_raises(TypeError, p1.__sub__, Polynomial([0]))
def check_add(Poly):
# This checks commutation, not numerical correctness
c1 = list(random((4,)) + .5)
c2 = list(random((3,)) + .5)
p1 = Poly(c1)
p2 = Poly(c2)
p3 = p1 + p2
assert_poly_almost_equal(p2 + p1, p3)
assert_poly_almost_equal(p1 + c2, p3)
assert_poly_almost_equal(c2 + p1, p3)
assert_poly_almost_equal(p1 + tuple(c2), p3)
assert_poly_almost_equal(tuple(c2) + p1, p3)
assert_poly_almost_equal(p1 + np.array(c2), p3)
assert_poly_almost_equal(np.array(c2) + p1, p3)
assert_raises(TypeError, op.add, p1, Poly([0], domain=Poly.domain + 1))
assert_raises(TypeError, op.add, p1, Poly([0], window=Poly.window + 1))
if Poly is Polynomial:
assert_raises(TypeError, op.add, p1, Chebyshev([0]))
else:
assert_raises(TypeError, op.add, p1, Polynomial([0]))
def test_mul(Poly):
c1 = list(random((4, )) + .5)
c2 = list(random((3, )) + .5)
p1 = Poly(c1)
p2 = Poly(c2)
p3 = p1 * p2
assert_poly_almost_equal(p2 * p1, p3)
assert_poly_almost_equal(p1 * c2, p3)
assert_poly_almost_equal(c2 * p1, p3)
assert_poly_almost_equal(p1 * tuple(c2), p3)
assert_poly_almost_equal(tuple(c2) * p1, p3)
assert_poly_almost_equal(p1 * np.array(c2), p3)
assert_poly_almost_equal(np.array(c2) * p1, p3)
assert_poly_almost_equal(p1 * 2, p1 * Poly([2]))
assert_poly_almost_equal(2 * p1, p1 * Poly([2]))
assert_raises(TypeError, op.mul, p1, Poly([0], domain=Poly.domain + 1))
assert_raises(TypeError, op.mul, p1, Poly([0], window=Poly.window + 1))
if Poly is Polynomial:
assert_raises(TypeError, op.mul, p1, Chebyshev([0]))
else:
assert_raises(TypeError, op.mul, p1, Polynomial([0]))
def check_floordiv(Poly) :
c1 = list(random((4,)) + .5)
c2 = list(random((3,)) + .5)
c3 = list(random((2,)) + .5)
p1 = Poly(c1)
p2 = Poly(c2)
p3 = Poly(c3)
p4 = p1 * p2 + p3
c4 = list(p4.coef)
assert_poly_almost_equal(p4 // p2, p1)
assert_poly_almost_equal(p4 // c2, p1)
assert_poly_almost_equal(c4 // p2, p1)
assert_poly_almost_equal(p4 // tuple(c2), p1)
assert_poly_almost_equal(tuple(c4) // p2, p1)
assert_poly_almost_equal(p4 // np.array(c2), p1)
assert_poly_almost_equal(np.array(c4) // p2, p1)
assert_poly_almost_equal(2 // p2, Poly([0]))
assert_poly_almost_equal(p2 // 2, 0.5*p2)
assert_raises(TypeError, p1.__floordiv__, Poly([0], domain=Poly.domain + 1))
assert_raises(TypeError, p1.__floordiv__, Poly([0], window=Poly.window + 1))
if Poly is Polynomial:
assert_raises(TypeError, p1.__floordiv__, Chebyshev([0]))
else:
assert_raises(TypeError, p1.__floordiv__, Polynomial([0]))
def T(n_):
return Chebyshev(np.append(np.zeros(n_), 1))
def chebyshev_basis(k):
for i in range(len(CHEBYSHEV_BASIS), k + 1):
coeffs = np.zeros(i + 1)
coeffs[-1] = (1. + np.sign(i)) / np.pi
CHEBYSHEV_BASIS.append(Chebyshev(coeffs))
return CHEBYSHEV_BASIS[k]
