def test_zernikes_rms(nterms=10, size=500):
"""Verify RMS(Zernike[n,m]) == 1."""
assert np.nanstd(zernike.zernike1(1)) == 0.0, "Zernike(j=0) has nonzero RMS"
for j in range(2, nterms):
n, m = zernike.noll_indices(j)
z = zernike.zernike(n, m, npix=size)
rms = np.nanstd(z) # exclude masked pixels
assert abs(1.0 - rms) < 0.001, "Zernike(j={}) has RMS value of {}".format(j, rms)
def test_ones_zernikes(nterms=10):
"""Verify the radial scaling function is correctly normalized"""
rho = np.ones(3)
for j in np.arange(nterms) + 1:
n, m = zernike.noll_indices(j)
rs = zernike.R(n, m, rho)
print("j=%d\tZ_(%d,%d) [1] = \t %s" % (j, n, m, str(rs)))
assert rs[0] == rs[1] == rs[2], "Radial polynomial is not radially symmetric"
def test_zernikes_rms(nterms=10, size=500):
"""Verify RMS(Zernike[n,m]) == 1."""
assert np.nanstd(zernike.zernike1(1)) == 0.0, "Zernike(j=0) has nonzero RMS"
for j in range(2, nterms):
n, m = zernike.noll_indices(j)
Z = zernike.zernike(n, m, npix=size)
rms = np.nanstd(Z) # exclude masked pixels
assert 1.0 - rms < 0.001, "Zernike(j={}) has RMS value of {}".format(j, rms)
def test_ones_zernikes(nterms=10):
"""Verify the radial scaling function is correctly normalized"""
rho = np.ones(3)
for j in np.arange(nterms) + 1:
n, m = zernike.noll_indices(j)
rs = zernike.R(n, m, rho)
print("j=%d\tZ_(%d,%d) [1] = \t %s" % (j, n, m, str(rs)))
assert rs[0] == rs[1] == rs[2], "Radial polynomial is not radially symmetric"
def test_ones_zernikes(nterms=10):
"""Verify the radial scaling function is correctly normalized"""
rho = np.ones(3)
theta = np.array([0, 1, 2])
for j in np.arange(nterms)+1:
n, m = zernike.noll_indices(j)
Z = zernike.zernike1(j, rho=rho, theta=theta)
Rs = zernike.R(n, m, rho)
print "j=%d\tZ_(%d,%d) [1] = \t %s" % (j, n, m, str(Rs))
assert Rs[0] == Rs[1] == Rs[2], "Radial polynomial is not radially symmetric"
def test_ones_zernikes(nterms=10):
"""Verify the radial scaling function is correctly normalized"""
rho = np.ones(3)
theta = np.array([0, 1, 2])
for j in np.arange(nterms)+1:
n, m = zernike.noll_indices(j)
Z = zernike.zernike1(j, rho=rho, theta=theta)
Rs = zernike.R(n, m, rho)
print "j=%d\tZ_(%d,%d) [1] = \t %s" % (j, n, m, str(Rs))
assert Rs[0] == Rs[1] == Rs[2], "Radial polynomial is not radially symmetric"