def forward(self, field, propagation_distances):
"""defocus with angular spectrum"""
field_defocus = self.pupil_support * af.fft2(field)
field_defocus = af.tile(field_defocus, 1, 1,
len(propagation_distances))
for z_idx, propagation_distance in enumerate(propagation_distances):
propagation_kernel = af.exp(self.prop_kernel_phase *
propagation_distance)
field_defocus[:, :, z_idx] *= propagation_kernel
af.ifft2_inplace(field_defocus)
return field_defocus
def adjoint(self, residual, propagation_distances):
"""adjoint operator for defocus with angular spectrum"""
field_focus = af.constant(0.0,
self.shape[0],
self.shape[1],
dtype=af_complex_datatype)
for z_idx, propagation_distance in enumerate(propagation_distances):
propagation_kernel_conj = af.exp(-1.0 * self.prop_kernel_phase *
propagation_distances[z_idx])
field_focus[:, :] += propagation_kernel_conj * af.fft2(
residual[:, :, z_idx])
field_focus *= self.pupil_support
af.ifft2_inplace(field_focus)
return field_focus
def _propagationInplace(self,
field,
propagation_distance,
adjoint=False,
in_real=True):
"""
propagation operator that uses angular spectrum to propagate the wave
field: input field
propagation_distance: distance to propagate the wave
adjoint: boolean variable to perform adjoint operation (i.e. opposite direction)
"""
if in_real:
af.fft2_inplace(field)
if adjoint:
field[:, :] *= af.conjg(
af.exp(self.prop_kernel_phase * propagation_distance))
else:
field[:, :] *= af.exp(self.prop_kernel_phase *
propagation_distance)
if in_real:
af.ifft2_inplace(field)
return field
def simple_signal(verbose=False):
display_func = _util.display_func(verbose)
print_func = _util.print_func(verbose)
signal = af.randu(10)
x_new = af.randu(10)
x_orig = af.randu(10)
display_func(af.approx1(signal, x_new, xp = x_orig))
signal = af.randu(3, 3)
x_new = af.randu(3, 3)
x_orig = af.randu(3, 3)
y_new = af.randu(3, 3)
y_orig = af.randu(3, 3)
display_func(af.approx2(signal, x_new, y_new, xp = x_orig, yp = y_orig))
a = af.randu(8, 1)
display_func(a)
display_func(af.fft(a))
display_func(af.dft(a))
display_func(af.real(af.ifft(af.fft(a))))
display_func(af.real(af.idft(af.dft(a))))
b = af.fft(a)
af.ifft_inplace(b)
display_func(b)
af.fft_inplace(b)
display_func(b)
b = af.fft_r2c(a)
c = af.fft_c2r(b)
display_func(b)
display_func(c)
a = af.randu(4, 4)
display_func(a)
display_func(af.fft2(a))
display_func(af.dft(a))
display_func(af.real(af.ifft2(af.fft2(a))))
display_func(af.real(af.idft(af.dft(a))))
b = af.fft2(a)
af.ifft2_inplace(b)
display_func(b)
af.fft2_inplace(b)
display_func(b)
b = af.fft2_r2c(a)
c = af.fft2_c2r(b)
display_func(b)
display_func(c)
a = af.randu(4, 4, 2)
display_func(a)
display_func(af.fft3(a))
display_func(af.dft(a))
display_func(af.real(af.ifft3(af.fft3(a))))
display_func(af.real(af.idft(af.dft(a))))
b = af.fft3(a)
af.ifft3_inplace(b)
display_func(b)
af.fft3_inplace(b)
display_func(b)
b = af.fft3_r2c(a)
c = af.fft3_c2r(b)
display_func(b)
display_func(c)
a = af.randu(10, 1)
b = af.randu(3, 1)
display_func(af.convolve1(a, b))
display_func(af.fft_convolve1(a, b))
display_func(af.convolve(a, b))
display_func(af.fft_convolve(a, b))
a = af.randu(5, 5)
b = af.randu(3, 3)
display_func(af.convolve2(a, b))
display_func(af.fft_convolve2(a, b))
display_func(af.convolve(a, b))
display_func(af.fft_convolve(a, b))
a = af.randu(5, 5, 3)
b = af.randu(3, 3, 2)
display_func(af.convolve3(a, b))
display_func(af.fft_convolve3(a, b))
display_func(af.convolve(a, b))
display_func(af.fft_convolve(a, b))
b = af.randu(3, 1)
x = af.randu(10, 1)
a = af.randu(2, 1)
display_func(af.fir(b, x))
display_func(af.iir(b, a, x))
display_func(af.medfilt1(a))
display_func(af.medfilt2(a))
display_func(af.medfilt(a))
def simple_signal(verbose=False):
display_func = _util.display_func(verbose)
print_func = _util.print_func(verbose)
a = af.randu(10, 1)
pos0 = af.randu(10) * 10
display_func(af.approx1(a, pos0))
a = af.randu(3, 3)
pos0 = af.randu(3, 3) * 10
pos1 = af.randu(3, 3) * 10
display_func(af.approx2(a, pos0, pos1))
a = af.randu(8, 1)
display_func(a)
display_func(af.fft(a))
display_func(af.dft(a))
display_func(af.real(af.ifft(af.fft(a))))
display_func(af.real(af.idft(af.dft(a))))
b = af.fft(a)
af.ifft_inplace(b)
display_func(b)
af.fft_inplace(b)
display_func(b)
b = af.fft_r2c(a)
c = af.fft_c2r(b)
display_func(b)
display_func(c)
a = af.randu(4, 4)
display_func(a)
display_func(af.fft2(a))
display_func(af.dft(a))
display_func(af.real(af.ifft2(af.fft2(a))))
display_func(af.real(af.idft(af.dft(a))))
b = af.fft2(a)
af.ifft2_inplace(b)
display_func(b)
af.fft2_inplace(b)
display_func(b)
b = af.fft2_r2c(a)
c = af.fft2_c2r(b)
display_func(b)
display_func(c)
a = af.randu(4, 4, 2)
display_func(a)
display_func(af.fft3(a))
display_func(af.dft(a))
display_func(af.real(af.ifft3(af.fft3(a))))
display_func(af.real(af.idft(af.dft(a))))
b = af.fft3(a)
af.ifft3_inplace(b)
display_func(b)
af.fft3_inplace(b)
display_func(b)
b = af.fft3_r2c(a)
c = af.fft3_c2r(b)
display_func(b)
display_func(c)
a = af.randu(10, 1)
b = af.randu(3, 1)
display_func(af.convolve1(a, b))
display_func(af.fft_convolve1(a, b))
display_func(af.convolve(a, b))
display_func(af.fft_convolve(a, b))
a = af.randu(5, 5)
b = af.randu(3, 3)
display_func(af.convolve2(a, b))
display_func(af.fft_convolve2(a, b))
display_func(af.convolve(a, b))
display_func(af.fft_convolve(a, b))
a = af.randu(5, 5, 3)
b = af.randu(3, 3, 2)
display_func(af.convolve3(a, b))
display_func(af.fft_convolve3(a, b))
display_func(af.convolve(a, b))
display_func(af.fft_convolve(a, b))
b = af.randu(3, 1)
x = af.randu(10, 1)
a = af.randu(2, 1)
display_func(af.fir(b, x))
display_func(af.iir(b, a, x))
def simple_signal(verbose=False):
display_func = _util.display_func(verbose)
signal = af.randu(10)
x_new = af.randu(10)
x_orig = af.randu(10)
display_func(af.approx1(signal, x_new, xp=x_orig))
signal = af.randu(3, 3)
x_new = af.randu(3, 3)
x_orig = af.randu(3, 3)
y_new = af.randu(3, 3)
y_orig = af.randu(3, 3)
display_func(af.approx2(signal, x_new, y_new, xp=x_orig, yp=y_orig))
a = af.randu(8, 1)
display_func(a)
display_func(af.fft(a))
display_func(af.dft(a))
display_func(af.real(af.ifft(af.fft(a))))
display_func(af.real(af.idft(af.dft(a))))
b = af.fft(a)
af.ifft_inplace(b)
display_func(b)
af.fft_inplace(b)
display_func(b)
b = af.fft_r2c(a)
c = af.fft_c2r(b)
display_func(b)
display_func(c)
a = af.randu(4, 4)
display_func(a)
display_func(af.fft2(a))
display_func(af.dft(a))
display_func(af.real(af.ifft2(af.fft2(a))))
display_func(af.real(af.idft(af.dft(a))))
b = af.fft2(a)
af.ifft2_inplace(b)
display_func(b)
af.fft2_inplace(b)
display_func(b)
b = af.fft2_r2c(a)
c = af.fft2_c2r(b)
display_func(b)
display_func(c)
a = af.randu(4, 4, 2)
display_func(a)
display_func(af.fft3(a))
display_func(af.dft(a))
display_func(af.real(af.ifft3(af.fft3(a))))
display_func(af.real(af.idft(af.dft(a))))
b = af.fft3(a)
af.ifft3_inplace(b)
display_func(b)
af.fft3_inplace(b)
display_func(b)
b = af.fft3_r2c(a)
c = af.fft3_c2r(b)
display_func(b)
display_func(c)
a = af.randu(10, 1)
b = af.randu(3, 1)
display_func(af.convolve1(a, b))
display_func(af.fft_convolve1(a, b))
display_func(af.convolve(a, b))
display_func(af.fft_convolve(a, b))
a = af.randu(5, 5)
b = af.randu(3, 3)
display_func(af.convolve2(a, b))
display_func(af.fft_convolve2(a, b))
display_func(af.convolve(a, b))
display_func(af.fft_convolve(a, b))
c = af.convolve2NN(a, b)
display_func(c)
in_dims = c.dims()
incoming_grad = af.constant(1, in_dims[0], in_dims[1])
g = af.convolve2GradientNN(incoming_grad, a, b, c)
display_func(g)
a = af.randu(5, 5, 3)
b = af.randu(3, 3, 2)
display_func(af.convolve3(a, b))
display_func(af.fft_convolve3(a, b))
display_func(af.convolve(a, b))
display_func(af.fft_convolve(a, b))
b = af.randu(3, 1)
x = af.randu(10, 1)
a = af.randu(2, 1)
display_func(af.fir(b, x))
display_func(af.iir(b, a, x))
display_func(af.medfilt1(a))
display_func(af.medfilt2(a))
display_func(af.medfilt(a))
