Correct flips for magnetic part. Some tests.
Former-commit-id: 998f4b8fa5b94447ae75220fbb43c0143d4083a5
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Marek Nečada
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4badc3f6cf
commit
8fb938961f
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@ -915,7 +915,19 @@ def xflip_yy(lmax):
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elems[b_in:e_in,b_in:e_in] = np.eye(2*l+1)[::-1,:]
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b_in = e_in
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return elems
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def xflip_tyy(lmax):
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fl_yy = xflip_yy(lmax)
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return np.array([fl_yy,-fl_yy])
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def xflip_tyty(lmax):
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fl_yy = xflip_yy(lmax)
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nelem = fl_yy.shape[0]
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fl_tyty = np.zeros((2,nelem,2,nelem),dtype=int)
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fl_tyty[0,:,0,:] = fl_yy
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fl_tyty[1,:,1,:] = -fl_yy
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return fl_tyty
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def yflip_yy(lmax):
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"""
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TODO doc
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@ -927,6 +939,18 @@ def yflip_yy(lmax):
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elems[(my % 2)==1] = elems[(my % 2)==1] * -1 # Obvious sign of tiredness (this is correct but ugly; FIXME)
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return elems
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def yflip_tyy(lmax):
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fl_yy = yflip_yy(lmax)
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return np.array([fl_yy,-fl_yy])
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def yflip_tyty(lmax):
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fl_yy = yflip_yy(lmax)
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nelem = fl_yy.shape[0]
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fl_tyty = np.zeros((2,nelem,2,nelem),dtype=int)
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fl_tyty[0,:,0,:] = fl_yy
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fl_tyty[1,:,1,:] = -fl_yy
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return fl_tyty
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def zflip_yy(lmax):
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"""
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TODO doc
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@ -942,6 +966,18 @@ def zflip_yy(lmax):
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b_in = e_in
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return elems
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def zflip_tyy(lmax):
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fl_yy = zflip_yy(lmax)
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return np.array([fl_yy,-fl_yy])
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def zflip_tyty(lmax):
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fl_yy = zflip_yy(lmax)
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nelem = fl_yy.shape[0]
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fl_tyty = np.zeros((2,nelem,2,nelem),dtype=int)
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fl_tyty[0,:,0,:] = fl_yy
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fl_tyty[1,:,1,:] = -fl_yy
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return fl_tyty
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def parity_yy(lmax):
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"""
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Parity operator (flip in x,y,z)
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@ -1294,6 +1330,7 @@ def scatter_plane_wave_rectarray(omega, epsilon_b, xN, yN, xd, yd, TMatrices, k_
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return ab
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returnlist = [ab]
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if (return_pq_0):
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pq_0_arr.shape = ab.shape
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returnlist.append(pq_0_arr)
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if (return_pq):
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warnings.warn("return_pq not implemented, ignoring")
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@ -19,26 +19,26 @@ from numpy import newaxis as ň
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import warnings
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# Some constants go here.
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# The "maximum" argument of the Bessel's functions, i.e. maximum wave number times the distance,
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# for the "locally strongly varying fields"
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maxx = 3
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# The "maximum" argument of the Bessel's function for reexpansion of the waves into regular waves
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# in another center
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maxxd = 2000
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lMax = 50 # To which order we decompose the waves
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lengthOrdersOfMagnitude = [2.**i for i in range(-15,10)]
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nsamples = 4 # (frequency, direction, polarisation) samples per order of magnitude and test
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npoints = 40 # points to evaluate per sample
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rtol = 1e-7 # relative required precision
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atol = 1. # absolute tolerance, does not really play a role
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lengthOrdersOfMagnitude = [2.**i for i in range(-15,10,2)]
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class PlaneWaveDecompositionTests(unittest.TestCase):
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"""
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covers plane_pq_y and vswf_yr1
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"""
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def testRandomInc(self):
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# The "maximum" argument of the Bessel's functions, i.e. maximum wave number times the distance,
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# for the "locally strongly varying fields"
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maxx = 10
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rfailtol = 0.01 # how much of the randomized test will be tolerated
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lMax = 80 # To which order we decompose the waves
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rtol = 1e-5 # relative required precision
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atol = 1. # absolute tolerance, does not really play a role
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nsamples = 4 # (frequency, direction, polarisation) samples per order of magnitude and test
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npoints = 15 # points to evaluate per sample
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failcounter = 0
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passcounter = 0
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for oom in lengthOrdersOfMagnitude:
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k = np.random.randn(nsamples, 3) / oom
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ksiz = np.linalg.norm(k, axis=-1)
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@ -52,27 +52,102 @@ class PlaneWaveDecompositionTests(unittest.TestCase):
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sph = qpms.cart2sph(ksiz[s]*testpoints[i])
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M̃_y, Ñ_y = qpms.vswf_yr1(sph, lMax, 1)
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planewave_2_p = -1j*qpms.sph_loccart2cart(np.dot(p,Ñ_y)+np.dot(q,M̃_y),sph)
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self.assertTrue(np.allclose(planewave_2_p, planewave_1[i], rtol=rtol, atol=atol))
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# if not np.allclose(planewave_2_p, planewave_1[i], rtol=rtol, atol=atol):
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# warnings.warn('Planewave expansion test not passed; r = '
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# +str(testpoints[i])+', k = '+str(k[s])
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# +', E_0 = '+str(E_0[s])+', (original) E = '
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# +str(planewave_1[i])+', (reexpanded) E = '
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# +str(planewave_2_p)
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# +', x = '+str(np.dot(testpoints[i],k[s]))
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# +'; distance = '
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# +str(np.linalg.norm(planewave_1[i]-planewave_2_p))
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# +', required relative precision = '
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# +str(relprecision)+'.')
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return
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#self.assertTrue(np.allclose(planewave_2_p, planewave_1[i], rtol=rtol, atol=atol))
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if not np.allclose(planewave_2_p, planewave_1[i], rtol=rtol, atol=atol):
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False and warnings.warn('Planewave expansion test not passed; r = '
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+str(testpoints[i])+', k = '+str(k[s])
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+', E_0 = '+str(E_0[s])+', (original) E = '
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+str(planewave_1[i])+', (reexpanded) E = '
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+str(planewave_2_p)
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+', x = '+str(np.dot(testpoints[i],k[s]))
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+'; distance = '
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+str(np.linalg.norm(planewave_1[i]-planewave_2_p))
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+', required relative precision = '
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+str(rtol)+'.')
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failcounter += 1
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else:
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passcounter += 1
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self.assertLess(failcounter / (failcounter + passcounter), rfailtol,
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'%d / %d (%.2e) randomized numerical tests failed (tolerance %.2e)'
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% (failcounter, failcounter + passcounter,
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failcounter / (failcounter + passcounter), rfailtol))
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return
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def testCornerCases(self):
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pass
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class SphericalWaveTranslationTests(unittest.TestCase):
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def testRandom1to1(self):
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# The "maximum" argument of the Bessel's functions, i.e. maximum wave number times the distance,
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# for the "locally strongly varying fields"
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maxx = 10
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rfailtol = 0.01 # how much of the randomized test fail proportion will be tolerated
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lMax = 50 # To which order we decompose the waves
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lMax_outgoing = 4 # To which order we try the outgoing waves
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rtol = 1e-5 # relative required precision
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atol = 1. # absolute tolerance, does not really play a role
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nsamples = 4 # frequency samples per order of magnitude and test
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npoints = 15 # points to evaluate per frequency and center
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ncentres = 3 # number of spherical coordinate centres between which the translations are to be made
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maxxd = 2000 # the center position standard deviation
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def sometest(self):
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failcounter = 0
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passcounter = 0
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my, ny = qpms.get_mn_y(lMax)
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nelem_full = len(my)
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nelem_out = lMax_outgoing * (lMax_outgoing + 2)
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for oom in lengthOrdersOfMagnitude:
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centres = oom * maxxd * np.random.randn(ncentres, 3)
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ksizs = np.random.randn(nsamples)
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for ksiz in ksizs:
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for i in range(ncentres): # "source"
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Rs = centres[i]
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testr = oom * maxx * np.random.randn(npoints, 3)
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for j in range(ncentres): # "destination"
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if j == i:
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continue
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Rd = centres[j]
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shift = Rd - Rs
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shift_sph = qpms.cart2sph(shift)
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shift_kr = ksiz * shift_sph[0]
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shift_theta = shift_sph[1]
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shift_phi = shift_sph[2]
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A_yd_ys = np.empty((nelem_full,nelem_out), dtype = np.complex_)
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B_yd_ys = np.empty((nelem_full,nelem_out), dtype = np.complex_)
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for yd in range(nelem_full):
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for ys in range(nelem_out):
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A_yd_ys[yd, ys] = qpms.Ã(my[yd],ny[yd],my[ys],ny[ys],shift_kr, shift_theta, shift_phi, True, 1)
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B_yd_ys[yd, ys] = qpms.B̃(my[yd],ny[yd],my[ys],ny[ys],shift_kr, shift_phi, shift_phi, True, 1)
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for r in testr:
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sph_ssys = qpms.cart2sph(r+Rd-Rs)
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M_ssys, N_ssys = qpms.vswf_yr1(np.array([ksiz * sph_ssys[0], sph_ssys[1], sph_ssys[2]]), lMax_outgoing, J=1)
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sph_dsys = qpms.cart2sph(r)
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M_dsys, N_dsys = qpms.vswf_yr1(np.array([ksiz * sph_dsys[0], sph_dsys[1], sph_dsys[2]]), lMax, J=1)
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for ys in range(nelem_out):
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# Electrical waves
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E_1 = -1j*qpms.sph_loccart2cart(N_ssys[ys], sph_ssys)
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E_2 = -1j*qpms.sph_loccart2cart(np.dot(A_yd_ys[:,ys],N_dsys)+np.dot(B_yd_ys[:,ys],M_dsys),sph_dsys)
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if not np.allclose(E_1, E_2, rtol=rtol, atol=atol):
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failcounter += 1
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else:
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passcounter += 1
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# Magnetic waves
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E_1 = -1j*qpms.sph_loccart2cart(M_ssys[ys], sph_ssys)
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E_2 = -1j*qpms.sph_loccart2cart(np.dot(A_yd_ys[:,ys],M_dsys)+np.dot(B_yd_ys[:,ys],N_dsys),sph_dsys)
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if not np.allclose(E_1, E_2, rtol=rtol, atol=atol):
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failcounter += 1
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else:
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passcounter += 1
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self.assertLess(failcounter / (failcounter + passcounter), rfailtol,
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'%d / %d (%.2e) randomized numerical tests failed (tolerance %.2e)'
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% (failcounter, failcounter + passcounter,
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failcounter / (failcounter + passcounter), rfailtol))
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return
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def testRandom3to1(self):
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pass
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def main():
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