本文整理汇总了Python中pychebfun.Chebfun类的典型用法代码示例。如果您正苦于以下问题:Python Chebfun类的具体用法?Python Chebfun怎么用?Python Chebfun使用的例子?那么, 这里精选的类代码示例或许可以为您提供帮助。
在下文中一共展示了Chebfun类的15个代码示例,这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞,您的评价将有助于系统推荐出更棒的Python代码示例。
示例1: test_interp_values
def test_interp_values(self):
"""
Instanciate Chebfun from interpolation values.
"""
p2 = Chebfun(self.p.values())
npt.assert_almost_equal(self.p.coefficients(), p2.coefficients())
tools.assert_close(self.p, p2)
示例2: test_prune
def test_prune(self):
N = 10
coeffs = np.array([1.]+N*[0])
c0 = Chebfun.from_coeff(coeffs)
npt.assert_allclose(c0.coefficients(), [1.])
c1 = Chebfun.from_coeff(coeffs, prune=False)
npt.assert_allclose(c1.coefficients(), coeffs)
示例3: test_add
def test_add(self):
s = Chebfun.from_function(np.sin)
c = Chebfun.from_function(np.cos)
r = c + s
def expected(x):
return np.sin(x) + np.cos(x)
tools.assert_close(r, expected)
示例4: test_diff_one
def test_diff_one(self):
"""
Derivative of Chebfun(1) close to zero
"""
one = Chebfun(1.)
zero = one.differentiate()
npt.assert_allclose(tools.Zero(tools.xs), 0.)
示例5: test_truncate
def test_truncate(self, N=17):
"""
Check that the Chebyshev coefficients are properly truncated.
"""
small = Chebfun.from_function(tools.f, N=N)
new = Chebfun.from_function(small)
self.assertEqual(new.size(), small.size(),)
示例6: test_real_imag
def test_real_imag(self):
datar = np.random.rand(10)
datai = np.random.rand(10)
cc = Chebfun.from_data(datar + 1j*datai)
cr = Chebfun.from_data(datar)
ci = Chebfun.from_data(datai)
tools.assert_close(np.real(cc), cr)
tools.assert_close(np.imag(cc), ci)
示例7: test_runge
def test_runge(self):
"""
Test some of the capabilities of operator overloading.
"""
r = Chebfun.from_function(runge)
x = Chebfun.basis(1)
rr = 1./(1+25*x**2)
tools.assert_close(r, rr, rtol=1e-13)
示例8: test_scalarvectormult
def test_scalarvectormult(self):
"""
Possible to multiply scalar with vector chebfun.
"""
v = Chebfun.from_function(segment)
s = np.sin(Chebfun.identity())
m = s * v
tools.assert_close(m[0], s*v[0])
示例9: test_slice
def test_slice(self):
"""
Test slicing: f[0] should return the first component.
"""
s = Chebfun.from_function(segment)
tools.assert_close(s[0], Chebfun.identity())
tools.assert_close(s[1], Chebfun(0.))
tools.assert_close(s[:], s)
示例10: a
def a(p, order):
if p > 0:
return Chebfun.from_function(lambda x: sqrt(2)* np.sin(p*x)/p,[0,pi])\
.differentiate(order)
else:
if order == 1:
return Chebfun.from_function(lambda x: np.ones_like(x), [0, pi])
else:
return Chebfun.from_function(lambda x: np.zeros_like(x), [0, pi])
示例11: test_sum
def test_sum(self):
"""
Integral of chebfun of x**2 on [-1,1] is 2/3
"""
p = Chebfun.from_function(Quad)
i = p.sum()
npt.assert_array_almost_equal(i,2/3)
示例12: test_highdiff
def test_highdiff(self):
"""
Higher order derivatives of exp(x)
"""
e = Chebfun.from_function(lambda x:np.exp(x))
e4 = e.differentiate(4)
tools.assert_close(e4, e)
示例13: test_diffquad
def test_diffquad(self):
"""
Derivative of Chebfun(x**2/2) is close to identity function
"""
self.p = .5*Chebfun.from_function(Quad)
X = self.p.differentiate()
tools.assert_close(X, lambda x:x)
示例14: test_nonzero
def test_nonzero(self):
"""
nonzero is True for Chebfun(f) and False for Chebfun(0)
"""
self.assertTrue(self.p)
mp = Chebfun.from_function(tools.Zero)
self.assertFalse(mp)
示例15: test_basis
def test_basis(self, n=4):
"""
Tn(cos(t)) = cos(nt)
"""
Tn = Chebfun.basis(n)
ts = np.linspace(0, 2*np.pi, 100)
npt.assert_allclose(Tn(np.cos(ts)), np.cos(n*ts))