def Get_Linear_Equation_Gpu(x,
weight,
bin_data_num,
bin_data_y,
r,
dtype='f4'):
n, p = x.shape
d = p - 1
if dtype is 'f4':
dtype = af.Dtype.f32
elif dtype is 'f8':
dtype = af.Dtype.f64
xw = af.constant(0, n, p, dtype=dtype)
for ii in af.ParallelRange(p):
xw[:, ii] = x[:, ii] * weight
s = af.constant(0, p, p, np.prod(bin_data_num.shape), dtype=dtype)
t = af.constant(0, p, np.prod(bin_data_num.shape), dtype=dtype)
ker_d = np.ones(4, dtype='int')
ker_d[:d] = 2 * r + 1
if d is 4:
for i in range(p):
for j in range(i, p):
if i is 0:
kernel = af.moddims(xw[:, j], ker_d[0], ker_d[1], ker_d[2],
ker_d[3])
t[j] = af.flat(
af.reorder(Convolve4(bin_data_y, kernel), 3, 2, 1, 0))
else:
kernel = af.moddims(xw[:, i] * x[:, j], ker_d[0], ker_d[1],
ker_d[2], ker_d[3])
s[i, j] = af.flat(
af.reorder(Convolve4(bin_data_num, kernel), 3, 2, 1, 0))
s[j, i] = s[i, j]
elif d < 4:
for i in range(p):
for j in range(i, p):
if i is 0:
kernel = af.moddims(xw[:, j], ker_d[0], ker_d[1], ker_d[2],
ker_d[3])
if kernel.elements() is 1:
t[j] = af.flat((bin_data_y * kernel.to_list()[0]).T)
else:
t[j] = af.flat(af.fft_convolve(bin_data_y, kernel).T)
else:
kernel = af.moddims(xw[:, i] * x[:, j], ker_d[0], ker_d[1],
ker_d[2], ker_d[3])
if kernel.elements() is 1:
s[i, j] = af.flat((bin_data_num * kernel.to_list()[0]).T)
else:
s[i, j] = af.flat(af.fft_convolve(bin_data_num, kernel).T)
s[j, i] = s[i, j]
for i in range(1, p):
s[i, i] += 1e-12
return ([
np.array(s).reshape(p**2, -1).T.reshape(-1, p, p),
np.array(af.flat(t))
])
af.display(af.real(af.idft(af.dft(a)))) a = af.randu(4, 4, 2) af.display(a) af.display(af.fft3(a)) af.display(af.dft(a)) af.display(af.real(af.ifft3(af.fft3(a)))) af.display(af.real(af.idft(af.dft(a)))) a = af.randu(10, 1) b = af.randu(3, 1) af.display(af.convolve1(a, b)) af.display(af.fft_convolve1(a, b)) af.display(af.convolve(a, b)) af.display(af.fft_convolve(a, b)) a = af.randu(5, 5) b = af.randu(3, 3) af.display(af.convolve2(a, b)) af.display(af.fft_convolve2(a, b)) af.display(af.convolve(a, b)) af.display(af.fft_convolve(a, b)) a = af.randu(5, 5, 3) b = af.randu(3, 3, 2) af.display(af.convolve3(a, b)) af.display(af.fft_convolve3(a, b)) af.display(af.convolve(a, b)) af.display(af.fft_convolve(a, b))
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))))
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))))
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))))
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)
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))))
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))))
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))))
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))
af.display(af.real(af.idft(af.dft(a)))) a = af.randu(4, 4, 2) af.display(a) af.display(af.fft3(a)) af.display(af.dft(a)) af.display(af.real(af.ifft3(af.fft3(a)))) af.display(af.real(af.idft(af.dft(a)))) a = af.randu(10, 1) b = af.randu(3, 1) af.display(af.convolve1(a, b)) af.display(af.fft_convolve1(a, b)) af.display(af.convolve(a, b)) af.display(af.fft_convolve(a, b)) a = af.randu(5, 5) b = af.randu(3, 3) af.display(af.convolve2(a, b)) af.display(af.fft_convolve2(a, b)) af.display(af.convolve(a, b)) af.display(af.fft_convolve(a, b)) a = af.randu(5, 5, 3) b = af.randu(3, 3, 2) af.display(af.convolve3(a, b)) af.display(af.fft_convolve3(a, b)) af.display(af.convolve(a, b)) af.display(af.fft_convolve(a, b))
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 fftconvolve(arr1, arr2):
return af.fft_convolve(arr1, arr2)
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))
