本文整理汇总了Python中numdifftools.multicomplex.bicomplex函数的典型用法代码示例。如果您正苦于以下问题：Python bicomplex函数的具体用法？Python bicomplex怎么用？Python bicomplex使用的例子？那么恭喜您, 这里精选的函数代码示例或许可以为您提供帮助。
在下文中一共展示了bicomplex函数的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_der_abs
def test_der_abs():
x = np.linspace(-0.98, 0.98, 5)
h = 1e-8
der1 = abs(bicomplex(x + h * 1j, 0)).imag1 / h
np.testing.assert_allclose(der1, np.where(x < 0, -1, 1))
der2 = abs(bicomplex(x + h * 1j, h)).imag12 / h**2
np.testing.assert_allclose(der2, 0, atol=1e-6)示例2: test_der_log
def test_der_log():
x = np.linspace(0.001, 5, 6)
h = 1e-15
der1 = np.log(bicomplex(x + h * 1j, 0)).imag1 / h
np.testing.assert_allclose(der1, 1./x)
der2 = np.log(bicomplex(x + h * 1j, h)).imag12 / h**2
np.testing.assert_allclose(der2, -1./x**2)示例3: test_division
def test_division():
z1 = bicomplex(1, 2)
z2 = bicomplex(3, 4)
z3 = z1 / z2
z4 = z1 * (z2**-1)
np.testing.assert_allclose(z3.z1, z4.z1)
np.testing.assert_allclose(z3.z2, z4.z2)示例4: test_dot
def test_dot():
z1 = bicomplex(1, 2)
z2 = bicomplex(3, 4)
z3 = z1.dot(z2)
z4 = z1 * z2
np.testing.assert_array_equal(z3.z1, z4.z1)
np.testing.assert_array_equal(z3.z2, z4.z2)示例5: test_arg_c
def test_arg_c():
z1 = bicomplex(np.linspace(0, np.pi, 5), 0)
z2 = z1.arg_c()
np.testing.assert_array_equal(z2, np.arctan2(z1.z2.real, z1.z1.real))
z3 = bicomplex(0.1, np.linspace(0, np.pi, 5))
z4 = z3.arg_c()
np.testing.assert_allclose(z4.real, np.arctan2(z3.z2.real, z3.z1.real))示例6: test_der_cos
def test_der_cos():
x = np.linspace(-0.99, 0.99, 5)
h = 1e-9
der1 = np.cos(bicomplex(x + h * 1j, 0)).imag1 / h
np.testing.assert_allclose(der1, - np.sin(x))
h *= 100
der2 = np.cos(bicomplex(x + h * 1j, h)).imag12 / h**2
np.testing.assert_allclose(der2, -np.cos(x))示例7: test_sub
def test_sub():
shape = (3, 3)
z0 = bicomplex(np.ones(shape), 2 * np.ones(shape))
z1 = bicomplex(3 * np.ones(shape), 4 * np.ones(shape))
z2 = z0 - z1
np.testing.assert_array_equal(z2.z1, z0.z1 - z1.z1)
np.testing.assert_array_equal(z2.z2, z0.z2 - z1.z2)示例8: test_shape
def test_shape(self):
shape = (3, 3)
t = np.arange(9).reshape(shape)
z = bicomplex(t, 2 * t)
self.assertEqual(z.shape, shape)
z = bicomplex(1, 2)
self.assertEqual(z.shape, ())示例9: test_der_arctan
def test_der_arctan():
x = np.linspace(0, 2, 5)
h = 1e-8
der1 = np.arctan(bicomplex(x + h * 1j, 0)).imag1 / h
np.testing.assert_allclose(der1, 1. / (1 + x**2))
der2 = bicomplex(x+h*1j, h).arctan().imag12/h**2
np.testing.assert_allclose(der2, -2*x/(1+x**2)**2)示例10: test_norm
def test_norm(self):
shape = (3, 3)
t = np.arange(9).reshape(shape)
z = bicomplex(t, 2 * t)
np.testing.assert_array_equal(z.norm(), np.sqrt(5*t**2))
z = bicomplex(1, 2)
self.assertEqual(z.norm(), np.sqrt(5))示例11: test_gt
def test_gt():
shape = (3, 3)
t = np.arange(9).reshape(shape)
z = bicomplex(t, 2 * t)
z2 = bicomplex(1, 2)
val = z > z2
truth = np.array([[False, False, True],
[ True, True, True],
[ True, True, True]], dtype=bool)
np.testing.assert_array_equal(val, truth)示例12: test_der_arccosh
def test_der_arccosh():
x = np.linspace(1.2, 5, 5)
h = 1e-8
der1 = np.arccosh(bicomplex(x + h * 1j, 0)).imag1 / h
np.testing.assert_allclose(der1, 1. / np.sqrt(x**2 - 1))
h = (_default_base_step(x, scale=2.5) + 1) - 1
der2 = np.arccosh(bicomplex(x + h * 1j, h)).imag12 / h**2
true_der2 = -x / (x**2-1)**(3. / 2)
np.testing.assert_allclose(der2, true_der2, atol=1e-5)示例13: test_der_arccos
def test_der_arccos(self):
x = np.linspace(-0.98, 0.98, 5)
h = 1e-8
der1 = np.arccos(bicomplex(x + h * 1j, 0)).imag1 / h
np.testing.assert_allclose(der1, -1. / np.sqrt(1 - x**2))
h = (_default_base_step(x, scale=2.5) + 1) - 1
der2 = np.arccos(bicomplex(x + h * 1j, h)).imag12 / h**2
true_der2 = -x / (1 - x**2)**(3. / 2)
np.testing.assert_allclose(der2, true_der2, atol=1e-5)示例14: test_add
def test_add():
shape = (3, 3)
z0 = bicomplex(np.ones(shape), 2 * np.ones(shape))
z1 = bicomplex(3 * np.ones(shape), 4 * np.ones(shape))
z2 = z0 + z1
np.testing.assert_array_equal(z2.z1, z0.z1 + z1.z1)
np.testing.assert_array_equal(z2.z2, z0.z2 + z1.z2)
z3 = z0 + 1
np.testing.assert_array_equal(z3.z1, z0.z1 + 1)
np.testing.assert_array_equal(z3.z2, z0.z2)示例15: test_pow
def test_pow():
z1 = bicomplex(1, 2)
z2 = z1 ** 2
z3 = z1 * z1
np.testing.assert_allclose(z2.z1, z1.z1 * z1.z1 - z1.z2 * z1.z2)
np.testing.assert_allclose(z2.z2, z1.z1 * z1.z2 + z1.z2 * z1.z1)
np.testing.assert_allclose(z3.z1, z1.z1 * z1.z1 - z1.z2 * z1.z2)
np.testing.assert_allclose(z3.z2, z1.z1 * z1.z2 + z1.z2 * z1.z1)
z1 = bicomplex(z1=(-1j), z2=(-1-0j))
z2 = z1 * z1
z3 = z1 ** 2
np.testing.assert_allclose(z2.z1, z1.z1 * z1.z1 - z1.z2 * z1.z2)
np.testing.assert_allclose(z2.z2, z1.z1 * z1.z2 + z1.z2 * z1.z1)
np.testing.assert_allclose(z3.z1, z1.z1 * z1.z1 - z1.z2 * z1.z2)
np.testing.assert_allclose(z3.z2, z1.z1 * z1.z2 + z1.z2 * z1.z1)