def forward(nn_np, data):
"""
Given a dictionary representing a feed forward neural net and an input data matrix compute the network's output and store it within the dictionary
:param nn: neural network dictionary
:param data: a numpy n by m matrix where m in the number of input units in nn
:return: the output layer activations
"""
nn = nn_np
nn['activations'] = []
afData = data.ctypes.data, data.shape, data.dtype.char
for i in range(data.shape[0]):
nn['activations'].append(
af.Array(data[i].ctypes.data, data[i].shape, data[i].dtype.char))
nn['zs'] = []
for w, s, b in map(None, nn['weights'], nn['nonlin'], nn['biases']):
#print af.transpose(nn['activations'][-1])
print nn['activations'][-1]
print ""
print w
z = af.dot(nn['activations'][-1], w)
nn['zs'].append(af.transpose(z))
nn['activations'].append(s[0](af.transpose(z)))
return nn['activations'][-1]
def calc_arrayfire(A, b, x0, maxiter=10):
x = af.constant(0, b.dims()[0], dtype=af.Dtype.f32)
r = b - af.matmul(A, x)
p = r
for i in range(maxiter):
Ap = af.matmul(A, p)
alpha_num = af.dot(r, r)
alpha_den = af.dot(p, Ap)
alpha = alpha_num / alpha_den
r -= af.tile(alpha, Ap.dims()[0]) * Ap
x += af.tile(alpha, Ap.dims()[0]) * p
beta_num = af.dot(r, r)
beta = beta_num / alpha_num
p = r + af.tile(beta, p.dims()[0]) * p
res = x0 - x
return x, af.dot(res, res)
def calc_arrayfire(A, b, x0, maxiter=10):
x = af.constant(0, b.dims()[0], dtype=af.Dtype.f32)
r = b - af.matmul(A, x)
p = r
for i in range(maxiter):
Ap = af.matmul(A, p)
alpha_num = af.dot(r, r)
alpha_den = af.dot(p, Ap)
alpha = alpha_num/alpha_den
r -= af.tile(alpha, Ap.dims()[0]) * Ap
x += af.tile(alpha, Ap.dims()[0]) * p
beta_num = af.dot(r, r)
beta = beta_num/alpha_num
p = r + af.tile(beta, p.dims()[0]) * p
af.eval(x)
res = x0 - x
return x, af.dot(res, res)
def simple_blas(verbose=False):
display_func = _util.display_func(verbose)
a = af.randu(5, 5)
b = af.randu(5, 5)
display_func(af.matmul(a, b))
display_func(af.matmul(a, b, af.MATPROP.TRANS))
display_func(af.matmul(a, b, af.MATPROP.NONE, af.MATPROP.TRANS))
b = af.randu(5, 1)
display_func(af.dot(b, b))
def dot(a, b):
# Arrayfire requires that the types match for dot and matmul
res_dtype = numpy.result_type(a, b)
a = a.astype(res_dtype, copy=False)
b = b.astype(res_dtype, copy=False)
if a.ndim == 1 and b.ndim == 1:
s = arrayfire.dot(a.d_array, b.d_array)
return afnumpy.ndarray((), dtype=a.dtype, af_array=s)[()]
a_shape = a.shape
b_shape = b.shape
if a.ndim == 1:
a = a.reshape((a.shape[0], 1))
if b.ndim == 1:
b = b.reshape((b.shape[0], 1))
if a.ndim == 2 and b.ndim == 2:
# Notice the order of the arguments to matmul. It's not a bug!
s = arrayfire.matmul(b.d_array, a.d_array)
return afnumpy.ndarray(pu.af_shape(s),
dtype=pu.typemap(s.dtype()),
af_array=s)
# Multidimensional dot is done with loops
# Calculate the shape of the result array
a_shape = list(a_shape)
a_shape.pop(-1)
b_shape = list(b_shape)
b_shape.pop(-2)
res_shape = a_shape + b_shape
# Make sure the arrays are at least 3D
if a.ndim < 3:
a = a.reshape((1, ) + a.shape)
if b.ndim < 3:
b = b.reshape((1, ) + b.shape)
# We're going to flatten the regions over which we're going to loop over
# to make our life easier and reduce the amount of indexing code
a = a.reshape((-1, a.shape[-2], a.shape[-1]))
b = b.reshape((-1, b.shape[-2], b.shape[-1]))
# Initialize the output array. The shape matches the reshape a and b.
res = afnumpy.empty((a.shape[0], a.shape[-2], b.shape[0], b.shape[-1]),
dtype=a.dtype)
# Loop through the flattened indices and calculate the matmuls
for i in range(0, a.shape[0]):
for j in range(0, b.shape[0]):
res[i, :, j, :] = afnumpy.dot(a[i], b[j])
# Finally appropriately reshape the result array
return res.reshape(res_shape)
def dot(a, b):
# Arrayfire requires that the types match for dot and matmul
res_dtype = numpy.result_type(a,b)
a = a.astype(res_dtype, copy=False)
b = b.astype(res_dtype, copy=False)
if a.ndim == 1 and b.ndim == 1:
s = arrayfire.dot(a.d_array, b.d_array)
return afnumpy.ndarray((), dtype=a.dtype, af_array=s)[()]
a_shape = a.shape
b_shape = b.shape
if a.ndim == 1:
a = a.reshape((a.shape[0],1))
if b.ndim == 1:
b = b.reshape((b.shape[0],1))
if a.ndim == 2 and b.ndim == 2:
# Notice the order of the arguments to matmul. It's not a bug!
s = arrayfire.matmul(b.d_array, a.d_array)
return afnumpy.ndarray(pu.af_shape(s), dtype=pu.typemap(s.dtype()),
af_array=s)
# Multidimensional dot is done with loops
# Calculate the shape of the result array
a_shape = list(a_shape)
a_shape.pop(-1)
b_shape = list(b_shape)
b_shape.pop(-2)
res_shape = a_shape + b_shape
# Make sure the arrays are at least 3D
if a.ndim < 3:
a = a.reshape((1,)+a.shape)
if b.ndim < 3:
b = b.reshape((1,)+b.shape)
# We're going to flatten the regions over which we're going to loop over
# to make our life easier and reduce the amount of indexing code
a = a.reshape((-1,a.shape[-2],a.shape[-1]))
b = b.reshape((-1,b.shape[-2],b.shape[-1]))
# Initialize the output array. The shape matches the reshape a and b.
res = afnumpy.empty((a.shape[0], a.shape[-2], b.shape[0],
b.shape[-1]), dtype=a.dtype)
# Loop through the flattened indices and calculate the matmuls
for i in range(0,a.shape[0]):
for j in range(0,b.shape[0]):
res[i,:,j,:] = afnumpy.dot(a[i],b[j])
# Finally appropriately reshape the result array
return res.reshape(res_shape)
def simple_blas(verbose=False):
display_func = _util.display_func(verbose)
print_func = _util.print_func(verbose)
a = af.randu(5,5)
b = af.randu(5,5)
display_func(af.matmul(a,b))
display_func(af.matmul(a,b,af.MATPROP.TRANS))
display_func(af.matmul(a,b,af.MATPROP.NONE, af.MATPROP.TRANS))
b = af.randu(5,1)
display_func(af.dot(b,b))
def forward(nn_np, data):
"""
Given a dictionary representing a feed forward neural net and an input data matrix compute the network's output and store it within the dictionary
:param nn: neural network dictionary
:param data: a numpy n by m matrix where m in the number of input units in nn
:return: the output layer activations
"""
nn = af.array(nn_np.ctypes.data, nn_np.shape, nn_np.dtype.char)
nn['activations'] = [data]
nn['zs'] = []
for w, s, b in map(None, nn['weights'], nn['nonlin'], nn['biases']):
z = af.dot(w, af.transpose(nn['activations'][-1])) + b
nn['zs'].append(af.transpose(z))
nn['activations'].append(s[0](af.transpose(z)))
return nn['activations'][-1]
def forward(nn_np, data):
"""
Given a dictionary representing a feed forward neural net and an input data matrix compute the network's output and store it within the dictionary
:param nn: neural network dictionary
:param data: a numpy n by m matrix where m in the number of input units in nn
:return: the output layer activations
"""
nn = nn_np
nn['activations'] =[]
afData = data.ctypes.data, data.shape, data.dtype.char
for i in range(data.shape[0]):
nn['activations'].append(af.Array(data[i].ctypes.data,data[i].shape,data[i].dtype.char))
nn['zs'] = []
for w, s, b in map(None, nn['weights'], nn['nonlin'], nn['biases']):
#print af.transpose(nn['activations'][-1])
print nn['activations'][-1]
print ""
print w
z = af.dot(nn['activations'][-1],w)
nn['zs'].append(af.transpose(z))
nn['activations'].append(s[0](af.transpose(z)))
return nn['activations'][-1]
def vdot(a, b):
s = arrayfire.dot(arrayfire.conjg(a.flat.d_array), b.flat.d_array)
return afnumpy.ndarray((), dtype=a.dtype, af_array=s)[()]
def vdot(a, b):
s = arrayfire.dot(arrayfire.conjg(a.flat.d_array), b.flat.d_array)
return afnumpy.ndarray((), dtype=a.dtype, af_array=s)[()]
#!/usr/bin/python ####################################################### # Copyright (c) 2015, ArrayFire # All rights reserved. # # This file is distributed under 3-clause BSD license. # The complete license agreement can be obtained at: # http://arrayfire.com/licenses/BSD-3-Clause ######################################################## import arrayfire as af a = af.randu(5, 5) b = af.randu(5, 5) af.display(af.matmul(a, b)) af.display(af.matmul(a, b, af.AF_MAT_TRANS)) af.display(af.matmul(a, b, af.AF_MAT_NONE, af.AF_MAT_TRANS)) b = af.randu(5, 1) af.display(af.dot(b, b))
#!/usr/bin/python import arrayfire as arr a = arr.random.rand(4,3) b = arr.random.randn(3,5) c = arr.dot(a,b) d = arr.sum(c) d0 = arr.sum(c, 0) d1 = arr.sum(c, 1) print(a) print(b) print(c) print(d) print(d0) print(d1)