def test_plane_wave(self,do_plot=do_plot):
#
# plane wave
#
print("# ")
print("# Tests for a 2D plane wave ")
print("# ")
wavelength = 1.24e-10
wavefront_length_x = 400e-6
wavefront_length_y = wavefront_length_x
npixels_x = 1024
npixels_y = npixels_x
x = numpy.linspace(-0.5*wavefront_length_x,0.5*wavefront_length_x,npixels_x)
y = numpy.linspace(-0.5*wavefront_length_y,0.5*wavefront_length_y,npixels_y)
wavefront = Wavefront2D.initialize_wavefront_from_steps(
x_start=x[0],x_step=numpy.abs(x[1]-x[0]),
y_start=y[0],y_step=numpy.abs(y[1]-y[0]),
number_of_points=(npixels_x,npixels_y),wavelength=wavelength)
# possible modifications
wavefront.set_plane_wave_from_amplitude_and_phase(5.0,numpy.pi/2)
numpy.testing.assert_almost_equal(wavefront.get_intensity(),25,5)
wavefront.set_plane_wave_from_complex_amplitude(2.0+3j)
numpy.testing.assert_almost_equal(wavefront.get_intensity(),13,5)
phase_before = wavefront.get_phase()
wavefront.add_phase_shift(numpy.pi/2)
phase_after = wavefront.get_phase()
numpy.testing.assert_almost_equal(phase_before+numpy.pi/2,phase_after,5)
intensity_before = wavefront.get_intensity()
wavefront.rescale_amplitude(10.0)
intensity_after = wavefront.get_intensity()
numpy.testing.assert_almost_equal(intensity_before*100,intensity_after,5)
# interpolation
wavefront.set_plane_wave_from_complex_amplitude(2.0+3j)
test_value1 = wavefront.get_interpolated_complex_amplitude(0.01,1.3)
self.assertAlmostEqual( (2.0+3j).real, test_value1.real, 5)
self.assertAlmostEqual( (2.0+3j).imag, test_value1.imag, 5)
if do_plot:
from srxraylib.plot.gol import plot_image
plot_image(wavefront.get_intensity(),wavefront.get_coordinate_x(),wavefront.get_coordinate_y(),
title="Intensity (plane wave)",show=0)
plot_image(wavefront.get_phase(),wavefront.get_coordinate_x(),wavefront.get_coordinate_y(),
title="Phase (plane wave)",show=1)
def test_initializers(self,do_plot=do_plot):
print("# ")
print("# Tests for initializars (2D) ")
print("# ")
x = numpy.linspace(-100,100,50)
y = numpy.linspace(-50,50,200)
XY = numpy.meshgrid(x,y)
X = XY[0].T
Y = XY[1].T
sigma = 10
Z = numpy.exp(- (X**2 + Y**2)/2/sigma**2) * 1j
print("Shapes x,y,z: ",x.shape,y.shape,Z.shape)
wf0 = Wavefront2D.initialize_wavefront_from_steps(x[0],numpy.abs(x[1]-x[0]),y[0],numpy.abs(y[1]-y[0]),number_of_points=Z.shape)
wf0.set_complex_amplitude(Z)
wf1 = Wavefront2D.initialize_wavefront_from_range(x[0],x[-1],y[0],y[-1],number_of_points=Z.shape)
wf1.set_complex_amplitude(Z)
wf2 = Wavefront2D.initialize_wavefront_from_arrays(x,y,Z)
if do_plot:
from srxraylib.plot.gol import plot_image
plot_image(wf0.get_intensity(),wf0.get_coordinate_x(),wf0.get_coordinate_y(),
title="initialize_wavefront_from_steps",show=0)
plot_image(wf1.get_intensity(),wf1.get_coordinate_x(),wf1.get_coordinate_y(),
title="initialize_wavefront_from_range",show=0)
plot_image(wf2.get_intensity(),wf2.get_coordinate_x(),wf2.get_coordinate_y(),
title="initialize_wavefront_from_arrays",show=1)
numpy.testing.assert_almost_equal(numpy.abs(Z)**2,wf0.get_intensity(),11)
numpy.testing.assert_almost_equal(numpy.abs(Z)**2,wf1.get_intensity(),11)
numpy.testing.assert_almost_equal(numpy.abs(Z)**2,wf2.get_intensity(),11)
numpy.testing.assert_almost_equal(x,wf0.get_coordinate_x(),11)
numpy.testing.assert_almost_equal(x,wf1.get_coordinate_x(),11)
numpy.testing.assert_almost_equal(x,wf2.get_coordinate_x(),11)
numpy.testing.assert_almost_equal(y,wf0.get_coordinate_y(),11)
numpy.testing.assert_almost_equal(y,wf1.get_coordinate_y(),11)
numpy.testing.assert_almost_equal(y,wf2.get_coordinate_y(),11)
def test_interpolator(self,do_plot=do_plot):
#
# interpolator
#
print("# ")
print("# Tests for 2D interpolator ")
print("# ")
x = numpy.linspace(-10,10,100)
y = numpy.linspace(-20,20,50)
xy = numpy.meshgrid(x,y)
X = xy[0].T
Y = xy[1].T
sigma = 3.0
Z = 3*numpy.exp(- (X**2+Y**2)/2/sigma**2) +4j
print("shape of Z",Z.shape)
wf = Wavefront2D.initialize_wavefront_from_steps(x[0],x[1]-x[0],y[0],y[1]-y[0],number_of_points=(100,50))
print("wf shape: ",wf.size())
wf.set_complex_amplitude( Z )
x1 = 3.2
y1 = -2.5
z1 = 3*numpy.exp(- (x1**2+y1**2)/2/sigma**2) + 4j
print("complex ampl at (%g,%g): %g+%gi (exact=%g+%gi)"%(x1,y1,
wf.get_interpolated_complex_amplitude(x1,y1).real,
wf.get_interpolated_complex_amplitude(x1,y1).imag,
z1.real,z1.imag))
self.assertAlmostEqual(wf.get_interpolated_complex_amplitude(x1,y1).real,z1.real,4)
self.assertAlmostEqual(wf.get_interpolated_complex_amplitude(x1,y1).imag,z1.imag,4)
#
print("intensity at (%g,%g): %g (exact=%g)"%(x1,y1,wf.get_interpolated_intensity(x1,y1),numpy.abs(z1)**2))
self.assertAlmostEqual(wf.get_interpolated_intensity(x1,y1),numpy.abs(z1)**2,4)
# interpolate on same grid
interpolated_complex_amplitude_on_same_grid = wf.get_interpolated_complex_amplitudes(X,Y)
print("Shape interpolated at same grid: ",interpolated_complex_amplitude_on_same_grid.shape)
numpy.testing.assert_array_almost_equal(wf.get_complex_amplitude(),interpolated_complex_amplitude_on_same_grid,4)
print("Total intensity original wavefront: %g, interpolated on the same grid: %g"%
(wf.get_intensity().sum(), (numpy.abs(interpolated_complex_amplitude_on_same_grid)**2).sum()))
if do_plot:
from srxraylib.plot.gol import plot_image
plot_image(wf.get_intensity(),wf.get_coordinate_x(),wf.get_coordinate_y(),title="Original",show=0)
plot_image(wf.get_interpolated_intensity(X,Y),wf.get_coordinate_x(),wf.get_coordinate_y(),
title="interpolated on same grid",show=1)
# rebin wavefront
# wf.set_plane_wave_from_complex_amplitude(3+4j)
wf_rebin = wf.rebin(2.0,5.0,0.5,0.8,keep_the_same_intensity=1,set_extrapolation_to_zero=1)
print("Shape before rebinning: ",wf.size())
print("Shape after rebinning: ",wf_rebin.size())
print("Total intensity original wavefront: %g, rebinned: %g"%
(wf.get_intensity().sum(), wf_rebin.get_intensity().sum() ))
if do_plot:
from srxraylib.plot.gol import plot_image
plot_image(wf.get_intensity(),wf.get_coordinate_x(),wf.get_coordinate_y(),title="BEFORE REBINNING",show=0)
plot_image(wf_rebin.get_intensity(),wf_rebin.get_coordinate_x(),wf_rebin.get_coordinate_y(),
title="REBINNED",show=1)
def test_spherical_wave(self,do_plot=do_plot):
#
# plane wave
#
print("# ")
print("# Tests for a 2D spherical wave ")
print("# ")
wavelength = 1.24e-10
wavefront_length_x = 400e-6
wavefront_length_y = wavefront_length_x
npixels_x = 1024
npixels_y = npixels_x
x = numpy.linspace(-0.5*wavefront_length_x,0.5*wavefront_length_x,npixels_x)
y = numpy.linspace(-0.5*wavefront_length_y,0.5*wavefront_length_y,npixels_y)
wf1 = Wavefront2D.initialize_wavefront_from_steps(
x_start=x[0],x_step=numpy.abs(x[1]-x[0]),
y_start=y[0],y_step=numpy.abs(y[1]-y[0]),
number_of_points=(npixels_x,npixels_y),wavelength=wavelength)
numpy.testing.assert_almost_equal(x,wf1.get_coordinate_x(),9)
numpy.testing.assert_almost_equal(y,wf1.get_coordinate_y(),9)
wf2 = Wavefront2D.initialize_wavefront_from_steps(
x_start=x[0],x_step=numpy.abs(x[1]-x[0]),
y_start=y[0],y_step=numpy.abs(y[1]-y[0]),
number_of_points=(npixels_x,npixels_y),wavelength=wavelength)
numpy.testing.assert_almost_equal(x,wf2.get_coordinate_x(),9)
numpy.testing.assert_almost_equal(y,wf2.get_coordinate_y(),9)
# an spherical wavefront is obtained 1) by creation, 2) focusing a planewave
wf1.set_spherical_wave(-5.0, 3+0j)
wf1.apply_slit(-50e-6,10e-6,-20e-6,40e-6)
wf2.set_plane_wave_from_complex_amplitude(3+0j)
wf2.apply_ideal_lens(5.0,5.0)
wf2.apply_slit(-50e-6,10e-6,-20e-6,40e-6)
if do_plot:
from srxraylib.plot.gol import plot_image
plot_image(wf1.get_phase(),wf2.get_coordinate_x(),wf2.get_coordinate_y(),
title="Phase of spherical wavefront",show=0)
plot_image(wf2.get_phase(),wf2.get_coordinate_x(),wf2.get_coordinate_y(),
title="Phase of focused plane wavefront",show=0)
plot_image(wf1.get_phase(from_minimum_intensity=0.1),wf2.get_coordinate_x(),wf2.get_coordinate_y(),
title="Phase of spherical wavefront (for intensity > 0.1)",show=0)
plot_image(wf2.get_phase(from_minimum_intensity=0.1),wf2.get_coordinate_x(),wf2.get_coordinate_y(),
title="Phase of focused plane wavefront (for intensity > 0.1)",show=1)
numpy.testing.assert_almost_equal(wf1.get_phase(),wf2.get_phase(),5)
def test_polarization(self, do_plot=0):
print("# ")
print("# Tests polarization ")
print("# ")
#
# from steps
#
x = numpy.linspace(-10, 10, 100)
y = numpy.linspace(-20, 20, 50)
# XY = numpy.meshgrid(y,x)
# sigma = 3.0
# Z = numpy.exp(- (XY[0]**2+XY[1]**2)/2/sigma**2)
xy = numpy.meshgrid(x, y)
X = xy[0].T
Y = xy[1].T
sigma = 3.0
Z = numpy.exp(-(X**2 + Y**2) / 2 / sigma**2)
Zp = 0.5 * numpy.exp(-(X**2 + Y**2) / 2 / sigma**2)
print("shape of Z", Z.shape)
wf = Wavefront2D.initialize_wavefront_from_steps(x[0],
x[1] - x[0],
y[0],
y[1] - y[0],
number_of_points=(100,
50))
print("wf shape: ", wf.size())
wf.set_complex_amplitude(Z, polarization=Polarization.SIGMA)
wf.set_complex_amplitude(Zp, polarization=Polarization.PI)
print("Total intensity: ",
wf.get_intensity(polarization=Polarization.TOTAL).sum())
print("Sigma intensity: ",
wf.get_intensity(polarization=Polarization.SIGMA).sum())
print("Pi intensity: ",
wf.get_intensity(polarization=Polarization.PI).sum())
self.assertAlmostEqual(wf.get_intensity(polarization=Polarization.TOTAL).sum(),
wf.get_intensity(polarization=Polarization.SIGMA).sum() +\
wf.get_intensity(polarization=Polarization.PI).sum())
#
# from range
#
x = numpy.linspace(-100, 100, 50)
y = numpy.linspace(-50, 50, 200)
X = numpy.outer(x, numpy.ones_like(y))
Y = numpy.outer(numpy.ones_like(x), y)
sigma = 10
Z = numpy.exp(-(X**2 + Y**2) / 2 / sigma**2) * 1j
Zp = 0.3333 * numpy.exp(-(X**2 + Y**2) / 2 / sigma**2) * 1j
print("Shapes x,y,z: ", x.shape, y.shape, Z.shape)
wf1 = Wavefront2D.initialize_wavefront_from_range(
x[0],
x[-1],
y[0],
y[-1],
number_of_points=Z.shape,
polarization=Polarization.SIGMA)
wf1.set_complex_amplitude(Z, polarization=Polarization.SIGMA)
wf1.set_complex_amplitude(Zp, polarization=Polarization.PI)
print("Total intensity: ",
wf1.get_intensity(polarization=Polarization.TOTAL).sum())
print("Sigma intensity: ",
wf1.get_intensity(polarization=Polarization.SIGMA).sum())
print("Pi intensity: ",
wf1.get_intensity(polarization=Polarization.PI).sum())
self.assertAlmostEqual(wf1.get_intensity(polarization=Polarization.TOTAL).sum(),
wf1.get_intensity(polarization=Polarization.SIGMA).sum() +\
wf1.get_intensity(polarization=Polarization.PI).sum())
#
# from arrays
#
wf2 = Wavefront2D.initialize_wavefront_from_arrays(x, y, Z, Zp)
self.assertAlmostEqual(wf2.get_intensity(polarization=Polarization.TOTAL).sum(),
wf2.get_intensity(polarization=Polarization.SIGMA).sum() +\
wf2.get_intensity(polarization=Polarization.PI).sum())
def test_interpolator(self, do_plot=do_plot):
#
# interpolator
#
print("# ")
print("# Tests for 2D interpolator ")
print("# ")
x = numpy.linspace(-10, 10, 100)
y = numpy.linspace(-20, 20, 50)
xy = numpy.meshgrid(x, y)
X = xy[0].T
Y = xy[1].T
sigma = 3.0
Z = 3 * numpy.exp(-(X**2 + Y**2) / 2 / sigma**2) + 4j
print("shape of Z", Z.shape)
wf = Wavefront2D.initialize_wavefront_from_steps(x[0],
x[1] - x[0],
y[0],
y[1] - y[0],
number_of_points=(100,
50))
print("wf shape: ", wf.size())
wf.set_complex_amplitude(Z)
x1 = 3.2
y1 = -2.5
z1 = 3 * numpy.exp(-(x1**2 + y1**2) / 2 / sigma**2) + 4j
print("complex ampl at (%g,%g): %g+%gi (exact=%g+%gi)" %
(x1, y1, wf.get_interpolated_complex_amplitude(
x1, y1).real, wf.get_interpolated_complex_amplitude(
x1, y1).imag, z1.real, z1.imag))
self.assertAlmostEqual(
wf.get_interpolated_complex_amplitude(x1, y1).real, z1.real, 4)
self.assertAlmostEqual(
wf.get_interpolated_complex_amplitude(x1, y1).imag, z1.imag, 4)
#
print(
"intensity at (%g,%g): %g (exact=%g)" %
(x1, y1, wf.get_interpolated_intensity(x1, y1), numpy.abs(z1)**2))
self.assertAlmostEqual(wf.get_interpolated_intensity(x1, y1),
numpy.abs(z1)**2, 4)
# interpolate on same grid
interpolated_complex_amplitude_on_same_grid = wf.get_interpolated_complex_amplitudes(
X, Y)
print("Shape interpolated at same grid: ",
interpolated_complex_amplitude_on_same_grid.shape)
numpy.testing.assert_array_almost_equal(
wf.get_complex_amplitude(),
interpolated_complex_amplitude_on_same_grid, 4)
print(
"Total intensity original wavefront: %g, interpolated on the same grid: %g"
% (wf.get_intensity().sum(),
(numpy.abs(interpolated_complex_amplitude_on_same_grid)**
2).sum()))
if do_plot:
from srxraylib.plot.gol import plot_image
plot_image(wf.get_intensity(),
wf.get_coordinate_x(),
wf.get_coordinate_y(),
title="Original",
show=0)
plot_image(wf.get_interpolated_intensity(X, Y),
wf.get_coordinate_x(),
wf.get_coordinate_y(),
title="interpolated on same grid",
show=1)
# rebin wavefront
# wf.set_plane_wave_from_complex_amplitude(3+4j)
wf_rebin = wf.rebin(2.0,
5.0,
0.5,
0.8,
keep_the_same_intensity=1,
set_extrapolation_to_zero=1)
print("Shape before rebinning: ", wf.size())
print("Shape after rebinning: ", wf_rebin.size())
print("Total intensity original wavefront: %g, rebinned: %g" %
(wf.get_intensity().sum(), wf_rebin.get_intensity().sum()))
if do_plot:
from srxraylib.plot.gol import plot_image
plot_image(wf.get_intensity(),
wf.get_coordinate_x(),
wf.get_coordinate_y(),
title="BEFORE REBINNING",
show=0)
plot_image(wf_rebin.get_intensity(),
wf_rebin.get_coordinate_x(),
wf_rebin.get_coordinate_y(),
title="REBINNED",
show=1)
def test_spherical_wave(self, do_plot=do_plot):
#
# plane wave
#
print("# ")
print("# Tests for a 2D spherical wave ")
print("# ")
wavelength = 1.24e-10
wavefront_length_x = 400e-6
wavefront_length_y = wavefront_length_x
npixels_x = 1024
npixels_y = npixels_x
x = numpy.linspace(-0.5 * wavefront_length_x, 0.5 * wavefront_length_x,
npixels_x)
y = numpy.linspace(-0.5 * wavefront_length_y, 0.5 * wavefront_length_y,
npixels_y)
wf1 = Wavefront2D.initialize_wavefront_from_steps(
x_start=x[0],
x_step=numpy.abs(x[1] - x[0]),
y_start=y[0],
y_step=numpy.abs(y[1] - y[0]),
number_of_points=(npixels_x, npixels_y),
wavelength=wavelength)
numpy.testing.assert_almost_equal(x, wf1.get_coordinate_x(), 9)
numpy.testing.assert_almost_equal(y, wf1.get_coordinate_y(), 9)
wf2 = Wavefront2D.initialize_wavefront_from_steps(
x_start=x[0],
x_step=numpy.abs(x[1] - x[0]),
y_start=y[0],
y_step=numpy.abs(y[1] - y[0]),
number_of_points=(npixels_x, npixels_y),
wavelength=wavelength)
numpy.testing.assert_almost_equal(x, wf2.get_coordinate_x(), 9)
numpy.testing.assert_almost_equal(y, wf2.get_coordinate_y(), 9)
# an spherical wavefront is obtained 1) by creation, 2) focusing a planewave
wf1.set_spherical_wave(-5.0, 3 + 0j)
wf1.apply_slit(-50e-6, 10e-6, -20e-6, 40e-6)
wf2.set_plane_wave_from_complex_amplitude(3 + 0j)
wf2.apply_ideal_lens(5.0, 5.0)
wf2.apply_slit(-50e-6, 10e-6, -20e-6, 40e-6)
if do_plot:
from srxraylib.plot.gol import plot_image
plot_image(wf1.get_phase(),
wf2.get_coordinate_x(),
wf2.get_coordinate_y(),
title="Phase of spherical wavefront",
show=0)
plot_image(wf2.get_phase(),
wf2.get_coordinate_x(),
wf2.get_coordinate_y(),
title="Phase of focused plane wavefront",
show=0)
plot_image(
wf1.get_phase(from_minimum_intensity=0.1),
wf2.get_coordinate_x(),
wf2.get_coordinate_y(),
title="Phase of spherical wavefront (for intensity > 0.1)",
show=0)
plot_image(
wf2.get_phase(from_minimum_intensity=0.1),
wf2.get_coordinate_x(),
wf2.get_coordinate_y(),
title="Phase of focused plane wavefront (for intensity > 0.1)",
show=1)
numpy.testing.assert_almost_equal(wf1.get_phase(), wf2.get_phase(), 5)
def test_plane_wave(self, do_plot=do_plot):
#
# plane wave
#
print("# ")
print(
"# Tests for a 2D plane wave "
)
print("# ")
wavelength = 1.24e-10
wavefront_length_x = 400e-6
wavefront_length_y = wavefront_length_x
npixels_x = 1024
npixels_y = npixels_x
x = numpy.linspace(-0.5 * wavefront_length_x, 0.5 * wavefront_length_x,
npixels_x)
y = numpy.linspace(-0.5 * wavefront_length_y, 0.5 * wavefront_length_y,
npixels_y)
wavefront = Wavefront2D.initialize_wavefront_from_steps(
x_start=x[0],
x_step=numpy.abs(x[1] - x[0]),
y_start=y[0],
y_step=numpy.abs(y[1] - y[0]),
number_of_points=(npixels_x, npixels_y),
wavelength=wavelength)
# possible modifications
wavefront.set_plane_wave_from_amplitude_and_phase(5.0, numpy.pi / 2)
numpy.testing.assert_almost_equal(wavefront.get_intensity(), 25, 5)
wavefront.set_plane_wave_from_complex_amplitude(2.0 + 3j)
numpy.testing.assert_almost_equal(wavefront.get_intensity(), 13, 5)
phase_before = wavefront.get_phase()
wavefront.add_phase_shift(numpy.pi / 2)
phase_after = wavefront.get_phase()
numpy.testing.assert_almost_equal(phase_before + numpy.pi / 2,
phase_after, 5)
intensity_before = wavefront.get_intensity()
wavefront.rescale_amplitude(10.0)
intensity_after = wavefront.get_intensity()
numpy.testing.assert_almost_equal(intensity_before * 100,
intensity_after, 5)
# interpolation
wavefront.set_plane_wave_from_complex_amplitude(2.0 + 3j)
test_value1 = wavefront.get_interpolated_complex_amplitude(0.01, 1.3)
self.assertAlmostEqual((2.0 + 3j).real, test_value1.real, 5)
self.assertAlmostEqual((2.0 + 3j).imag, test_value1.imag, 5)
if do_plot:
from srxraylib.plot.gol import plot_image
plot_image(wavefront.get_intensity(),
wavefront.get_coordinate_x(),
wavefront.get_coordinate_y(),
title="Intensity (plane wave)",
show=0)
plot_image(wavefront.get_phase(),
wavefront.get_coordinate_x(),
wavefront.get_coordinate_y(),
title="Phase (plane wave)",
show=1)
def test_initializers(self, do_plot=do_plot):
print("# ")
print("# Tests for initializars (2D) ")
print("# ")
x = numpy.linspace(-100, 100, 50)
y = numpy.linspace(-50, 50, 200)
XY = numpy.meshgrid(x, y)
X = XY[0].T
Y = XY[1].T
sigma = 10
Z = numpy.exp(-(X**2 + Y**2) / 2 / sigma**2) * 1j
print("Shapes x,y,z: ", x.shape, y.shape, Z.shape)
wf0 = Wavefront2D.initialize_wavefront_from_steps(
x[0],
numpy.abs(x[1] - x[0]),
y[0],
numpy.abs(y[1] - y[0]),
number_of_points=Z.shape)
wf0.set_complex_amplitude(Z)
wf1 = Wavefront2D.initialize_wavefront_from_range(
x[0], x[-1], y[0], y[-1], number_of_points=Z.shape)
wf1.set_complex_amplitude(Z)
wf2 = Wavefront2D.initialize_wavefront_from_arrays(x, y, Z)
if do_plot:
from srxraylib.plot.gol import plot_image
plot_image(wf0.get_intensity(),
wf0.get_coordinate_x(),
wf0.get_coordinate_y(),
title="initialize_wavefront_from_steps",
show=0)
plot_image(wf1.get_intensity(),
wf1.get_coordinate_x(),
wf1.get_coordinate_y(),
title="initialize_wavefront_from_range",
show=0)
plot_image(wf2.get_intensity(),
wf2.get_coordinate_x(),
wf2.get_coordinate_y(),
title="initialize_wavefront_from_arrays",
show=1)
numpy.testing.assert_almost_equal(
numpy.abs(Z)**2, wf0.get_intensity(), 11)
numpy.testing.assert_almost_equal(
numpy.abs(Z)**2, wf1.get_intensity(), 11)
numpy.testing.assert_almost_equal(
numpy.abs(Z)**2, wf2.get_intensity(), 11)
numpy.testing.assert_almost_equal(x, wf0.get_coordinate_x(), 11)
numpy.testing.assert_almost_equal(x, wf1.get_coordinate_x(), 11)
numpy.testing.assert_almost_equal(x, wf2.get_coordinate_x(), 11)
numpy.testing.assert_almost_equal(y, wf0.get_coordinate_y(), 11)
numpy.testing.assert_almost_equal(y, wf1.get_coordinate_y(), 11)
numpy.testing.assert_almost_equal(y, wf2.get_coordinate_y(), 11)
