Fixed database typo and removed unnecessary class identifier.

venv/Lib/site-packages/scipy/special/tests/test_sph_harm.py

@@ -0,0 +1,37 @@
+import numpy as np
+from numpy.testing import assert_allclose
+import scipy.special as sc
+
+
+def test_first_harmonics():
+    # Test against explicit representations of the first four
+    # spherical harmonics which use `theta` as the azimuthal angle,
+    # `phi` as the polar angle, and include the Condon-Shortley
+    # phase.
+
+    # Notation is Ymn
+    def Y00(theta, phi):
+        return 0.5*np.sqrt(1/np.pi)
+
+    def Yn11(theta, phi):
+        return 0.5*np.sqrt(3/(2*np.pi))*np.exp(-1j*theta)*np.sin(phi)
+
+    def Y01(theta, phi):
+        return 0.5*np.sqrt(3/np.pi)*np.cos(phi)
+
+    def Y11(theta, phi):
+        return -0.5*np.sqrt(3/(2*np.pi))*np.exp(1j*theta)*np.sin(phi)
+
+    harms = [Y00, Yn11, Y01, Y11]
+    m = [0, -1, 0, 1]
+    n = [0, 1, 1, 1]
+
+    theta = np.linspace(0, 2*np.pi)
+    phi = np.linspace(0, np.pi)
+    theta, phi = np.meshgrid(theta, phi)
+
+    for harm, m, n in zip(harms, m, n):
+        assert_allclose(sc.sph_harm(m, n, theta, phi),
+                        harm(theta, phi),
+                        rtol=1e-15, atol=1e-15,
+                        err_msg="Y^{}_{} incorrect".format(m, n))