def stepFuntion():
getModulo( psi_d, psiMod_d )
maxVal = (gpuarray.max(psiMod_d)).get()
multiplyByScalarReal( cudaPre(0.95/(maxVal)), psiMod_d )
sendModuloToUCHAR( psiMod_d, plotData_d)
copyToScreenArray()
if volumeRender.nTextures == 2:
if not realDynamics:
cuda.memset_d8(activity_d.ptr, 0, nBlocks3D )
findActivityKernel( cudaPre(0.001), psi_d, activity_d, grid=grid3D, block=block3D )
if plotVar == 1: getActivityKernel( psiOther_d, activity_d, grid=grid3D, block=block3D )
if plotVar == 0:
if realTEXTURE:
tex_psiReal.set_array( psiK2Real_array )
tex_psiImag.set_array( psiK2Imag_array )
getVelocity_texKernel( dx, dy, dz, psi_d, activity_d, psiOther_d, grid=grid3D, block=block3D )
else: getVelocityKernel( np.int32(neighbors), dx, dy, dz, psi_d, activity_d, psiOther_d, grid=grid3D, block=block3D )
maxVal = (gpuarray.max(psiOther_d)).get()
if maxVal > 0: multiplyByScalarReal( cudaPre(1./maxVal), psiOther_d )
sendModuloToUCHAR( psiOther_d, plotData_d_1)
copyToScreenArray_1()
if applyTransition: timeTransition()
if realDynamics: realStep()
else: imaginaryStep()
def minmax_pycuda(Dx_gpu, Dy_gpu):
"""
Given two GPUArrays, finds and returns their mins and maxes.
This is all done in the GPU; only the mins/maxes are sent back to the host.
"""
return (gpuarray.min(Dx_gpu).get(), gpuarray.max(Dx_gpu).get(),
gpuarray.min(Dy_gpu).get(), gpuarray.max(Dy_gpu).get())
def gpu_getmax(map): """ Use pycuda to get the maximum absolute deviation of the residual map, with the correct sign """ imax=gpu.max(cumath.fabs(map)).get() if gpu.max(map).get()!=imax: imax*=-1 return np.float32(imax)
def gpu_getmax(map):
"""
Use pycuda to get the maximum absolute deviation of the residual map,
with the correct sign
"""
imax = gpu.max(cumath.fabs(map)).get()
if gpu.max(map).get() != imax: imax *= -1
return np.float32(imax)
def maximum_cuda(a, b=None):
"""Maximum values of two GPUArrays.
Parameters
----------
a : gpuarray
First GPUArray.
b : gpuarray
Second GPUArray.
Returns
-------
gpuarray
Maximum values from both GPArrays, or single value if one GPUarray.
Examples
--------
>>> a = maximum_cuda(give_cuda([1, 2, 3]), give_cuda([3, 2, 1]))
[3, 2, 3]
>>> type(a)
<class 'pycuda.gpuarray.GPUArray'>
"""
if b is not None:
return cuda_array.maximum(a, b)
return cuda_array.max(a)
def stepFunction():
global animIter
if showActivity:
cuda.memset_d8(activeBlocks_d.ptr, 0, nBlocks)
findActivityKernel(cudaPre(1.e-10),
concentrationIn_d,
activeBlocks_d,
grid=grid2D,
block=block2D)
getActivityKernel(activeBlocks_d,
activeThreads_d,
grid=grid2D,
block=block2D)
cuda.memcpy_dtod(plotData_d.ptr, concentrationOut_d.ptr,
concentrationOut_d.nbytes)
maxVal = gpuarray.max(plotData_d).get()
scalePlotData(100. / maxVal, plotData_d, np.uint8(showActivity),
activeThreads_d)
if cudaP == "float":
[oneIteration_tex() for i in range(nIterationsPerPlot)]
else:
[oneIteration_sh() for i in range(nIterationsPerPlot // 2)]
if plotting and animIter % 25 == 0:
maxVals.append(maxVal)
sumConc.append(gpuarray.sum(concentrationIn_d).get())
plotData(maxVals, sumConc)
animIter += 1
def _minmax_impl(a_gpu, axis, min_or_max, stream=None):
''' Returns both max and argmax (min/argmin) along an axis.'''
assert len(a_gpu.shape) < 3
if iscomplextype(a_gpu.dtype):
raise ValueError("Cannot compute min/max of complex values")
if axis is None: ## Note: PyCUDA doesn't have an overall argmax/argmin!
if min_or_max == 'max':
return gpuarray.max(a_gpu).get()
else:
return gpuarray.min(a_gpu).get()
else:
if axis < 0:
axis += 2
assert axis in (0, 1)
global _global_cublas_allocator
alloc = _global_cublas_allocator
n, m = a_gpu.shape if a_gpu.flags.c_contiguous else (a_gpu.shape[1], a_gpu.shape[0])
col_kernel, row_kernel = _get_minmax_kernel(a_gpu.dtype, min_or_max)
if (axis == 0 and a_gpu.flags.c_contiguous) or (axis == 1 and a_gpu.flags.f_contiguous):
target = gpuarray.empty(m, dtype=a_gpu.dtype, allocator=alloc)
idx = gpuarray.empty(m, dtype=np.uint32, allocator=alloc)
col_kernel(a_gpu, target, idx, np.uint32(m), np.uint32(n),
block=(32, 1, 1), grid=(m, 1, 1), stream=stream)
else:
target = gpuarray.empty(n, dtype=a_gpu, allocator=alloc)
idx = gpuarray.empty(n, dtype=np.uint32, allocator=alloc)
row_kernel(a_gpu, target, idx, np.uint32(m), np.uint32(n),
block=(32, 1, 1), grid=(n, 1, 1), stream=stream)
return target, idx
def pixel_similarity_cuda(self, image):
N = image.shape[0]
nd = self.pairwise_difference(image, N)
diff = gpuarray.max(nd) - gpuarray.min(nd)
norm = self.gdivide(nd, diff)
C = 1 - norm
return C
def stepFuntion(): maxVal = ( gpuarray.max( cnsv1_d ) ).get() convertToUCHAR( cudaPre( 0.95/maxVal ), cnsv1_d, plotData_d) copyToScreenArray() timeStepHydro() if usingGravity: getGravForce()
def _minmax_impl(a_gpu, axis, min_or_max, out, idxout, stream=None):
''' Returns both max and argmax (min/argmin) along an axis.
Hacked together from scikits.cuda code, since that doesn't have an "out"
argument'''
assert len(a_gpu.shape) < 3
if axis is None: ## Note: PyCUDA doesn't have an overall argmax/argmin!
if min_or_max == 'max':
return gpuarray.max(a_gpu).get()
else:
return gpuarray.min(a_gpu).get()
else:
if axis < 0:
axis += 2
assert axis in (0, 1)
n, m = a_gpu.shape if a_gpu.flags.c_contiguous else (a_gpu.shape[1], a_gpu.shape[0])
col_kernel, row_kernel = scm._get_minmax_kernel(a_gpu.dtype, min_or_max)
target = out
idx = idxout
if (axis == 0 and a_gpu.flags.c_contiguous) or (axis == 1 and a_gpu.flags.f_contiguous):
col_kernel(a_gpu, target, idx, np.uint32(m), np.uint32(n),
block=(32, 1, 1), grid=(m, 1, 1), stream=stream)
else:
row_kernel(a_gpu, target, idx, np.uint32(m), np.uint32(n),
block=(32, 1, 1), grid=(n, 1, 1), stream=stream)
def integrate(self, t, dt, nacptsteps, d_ucoeff):
sm, explicit = self._sm, self._explicit
moment, updateMoment = sm.moment, sm.updateMomentBDF
updateDist, consMaxwellian = sm.updateDistBDF, sm.constructMaxwellian
L0, M = self.scratch
U0, LU0, U = self.scratch_moms
a1, a2, g1, b = [*self.A, *self.G, self.B]
pex = lambda *v: print(*v) + exit(-1)
psum = lambda v: pex(gpuarray.sum(v))
pMom = lambda v: pex(v.get().reshape(-1,5))
pmin = lambda v: pex(gpuarray.min(v))
pmax = lambda v: pex(gpuarray.max(v))
# Compute the moment of the initial distribution
moment(t, d_ucoeff, U0)
# Compute the explicit part; L0 = -∇·f(d_ucoeff);
explicit(t, d_ucoeff, L0)
# Compute the moment of the explicit part
moment(t, L0, LU0)
# update the moments
updateMoment(dt, a1, U0, -g1, LU0, a2, U, b)
#pex(U.get().reshape(-1,5))
# implictly construct the Maxwellian (or Gaussian, etc.) given moments
consMaxwellian(t, U, M)
#pex(gpuarray.sum(L0))
if nacptsteps==-1:
#pex(LU0.get().reshape(-1,5))
#pex(gpuarray.sum(d_ucoeff))
pass
# update the distribution
updateDist(dt, a1, d_ucoeff, -g1, L0, b, M, a2, U, d_ucoeff)
#pex(gpuarray.sum(d_ucoeff))
if(nacptsteps==-1):
#print("\n>> BDF-111\n")
#pMom(U0)
#psum(U0)
#psum(L0)
#pmax(L0)
#psum(LU0)
#pMom(LU0)
#psum(U)
#psum(M)
#psum(d_ucoeff)
#pmin(d_ucoeff)
#exit(-1)
pass
def _minmax_impl(a_gpu, axis, min_or_max, stream=None, keepdims=False):
''' Returns both max and argmax (min/argmin) along an axis.'''
assert len(a_gpu.shape) < 3
if iscomplextype(a_gpu.dtype):
raise ValueError("Cannot compute min/max of complex values")
if axis is None or len(
a_gpu.shape
) <= 1: ## Note: PyCUDA doesn't have an overall argmax/argmin!
out_shape = (1, ) * len(a_gpu.shape)
if min_or_max == 'max':
return gpuarray.max(a_gpu).reshape(out_shape), None
else:
return gpuarray.min(a_gpu).reshape(out_shape), None
else:
if axis < 0:
axis += 2
assert axis in (0, 1)
global _global_cublas_allocator
alloc = _global_cublas_allocator
n, m = a_gpu.shape if a_gpu.flags.c_contiguous else (a_gpu.shape[1],
a_gpu.shape[0])
col_kernel, row_kernel = _get_minmax_kernel(a_gpu.dtype, min_or_max)
if (axis == 0
and a_gpu.flags.c_contiguous) or (axis == 1
and a_gpu.flags.f_contiguous):
if keepdims:
out_shape = (1, m) if axis == 0 else (m, 1)
else:
out_shape = (m, )
target = gpuarray.empty(out_shape, dtype=a_gpu.dtype, allocator=alloc)
idx = gpuarray.empty(out_shape, dtype=np.uint32, allocator=alloc)
col_kernel(a_gpu,
target,
idx,
np.uint32(m),
np.uint32(n),
block=(32, 1, 1),
grid=(m, 1, 1),
stream=stream)
else:
if keepdims:
out_shape = (1, n) if axis == 0 else (n, 1)
else:
out_shape = (n, )
target = gpuarray.empty(out_shape, dtype=a_gpu, allocator=alloc)
idx = gpuarray.empty(out_shape, dtype=np.uint32, allocator=alloc)
row_kernel(a_gpu,
target,
idx,
np.uint32(m),
np.uint32(n),
block=(32, 1, 1),
grid=(n, 1, 1),
stream=stream)
return target, idx
def check_termination(self):
"""
Check various termination criteria
"""
# First check if we are doing termination based on running time
if (self.options.time_limit):
self.time = time.clock - self.time_start
if (self.time >= self.options.maxtime):
self.term_reason = 'Exceeded time limit'
return
# Now check if we are doing break by tolx
if (self.options.use_tolx):
if (np.sqrt(cua.dot(self.dx, self.dx).get()) /
np.sqrt(cua.dot(self.oldx, self.oldx).get()) <
self.options.tolx):
self.term_reason = 'Relative change in x small enough'
return
# Are we doing break by tolo (tol obj val)
if (self.options.use_tolo and self.iter > 2):
delta = abs(self.obj - self.oldobj)
if (delta < self.options.tolo):
self.term_reason = 'Relative change in objvalue small enough'
return
# Check if change in x and gradient are small enough
# we don't want that for now
# if (np.sqrt((cua.dot(self.dx,self.dx).get())) < self.options.tolx) \
# or (np.sqrt(cua.dot(self.dg,self.dg).get()) < self.options.tolg):
# self.term_reason = '|x_t+1 - x_t|=0 or |grad_t+1 - grad_t| < 1e-9'
# return
# Finally the plain old check if max iter has been achieved
if (self.iter >= self.options.maxiter):
self.term_reason = 'Maximum number of iterations reached'
return
# KKT violation
if (self.options.use_kkt):
if np.abs(np.sqrt(cua.dot(self.x,
self.grad).get())) <= options.tolk:
self.term_reason = '|x^T * grad| < opt.pbb_gradient_norm'
return
# Gradient check
if (self.options.use_tolg):
nr = cua.max(cua.fabs(self.grad)).get()
if (nr < self.options.tolg):
self.term_reason = '|| grad ||_inf < opt.tolg'
return
# No condition met, so return false
self.term_reason = 0
def check_termination(self):
"""
Check various termination criteria
"""
# First check if we are doing termination based on running time
if (self.options.time_limit):
self.time = time.clock - self.time_start
if (self.time >= self.options.maxtime):
self.term_reason = 'Exceeded time limit'
return
# Now check if we are doing break by tolx
if (self.options.use_tolx):
if (np.sqrt(cua.dot(self.dx,self.dx).get())/
np.sqrt(cua.dot(self.oldx,self.oldx).get()) < self.options.tolx):
self.term_reason = 'Relative change in x small enough'
return
# Are we doing break by tolo (tol obj val)
if (self.options.use_tolo and self.iter > 2):
delta = abs(self.obj-self.oldobj)
if (delta < self.options.tolo):
self.term_reason ='Relative change in objvalue small enough'
return
# Check if change in x and gradient are small enough
# we don't want that for now
# if (np.sqrt((cua.dot(self.dx,self.dx).get())) < self.options.tolx) \
# or (np.sqrt(cua.dot(self.dg,self.dg).get()) < self.options.tolg):
# self.term_reason = '|x_t+1 - x_t|=0 or |grad_t+1 - grad_t| < 1e-9'
# return
# Finally the plain old check if max iter has been achieved
if (self.iter >= self.options.maxiter):
self.term_reason = 'Maximum number of iterations reached'
return
# KKT violation
if (self.options.use_kkt):
if np.abs(np.sqrt(cua.dot(self.x,self.grad).get())) <= options.tolk:
self.term_reason = '|x^T * grad| < opt.pbb_gradient_norm'
return
# Gradient check
if (self.options.use_tolg):
nr = cua.max(cua.fabs(self.grad)).get();
if (nr < self.options.tolg):
self.term_reason = '|| grad ||_inf < opt.tolg'
return
# No condition met, so return false
self.term_reason = 0;
def propagate(self, gpu_geometry, rng_states, nthreads_per_block=64,
max_blocks=1024, max_steps=10, use_weights=False,
scatter_first=0):
"""Propagate photons on GPU to termination or max_steps, whichever
comes first.
May be called repeatedly without reloading photon information if
single-stepping through photon history.
..warning::
`rng_states` must have at least `nthreads_per_block`*`max_blocks`
number of curandStates.
"""
nphotons = self.pos.size
step = 0
input_queue = np.empty(shape=nphotons+1, dtype=np.uint32)
input_queue[0] = 0
# Order photons initially in the queue to put the clones next to each other
for copy in xrange(self.ncopies):
input_queue[1+copy::self.ncopies] = np.arange(self.true_nphotons, dtype=np.uint32) + copy * self.true_nphotons
input_queue_gpu = ga.to_gpu(input_queue)
output_queue = np.zeros(shape=nphotons+1, dtype=np.uint32)
output_queue[0] = 1
output_queue_gpu = ga.to_gpu(output_queue)
while step < max_steps:
# Just finish the rest of the steps if the # of photons is low
if nphotons < nthreads_per_block * 16 * 8 or use_weights:
nsteps = max_steps - step
else:
nsteps = 1
for first_photon, photons_this_round, blocks in \
chunk_iterator(nphotons, nthreads_per_block, max_blocks):
self.gpu_funcs.propagate(np.int32(first_photon), np.int32(photons_this_round), input_queue_gpu[1:], output_queue_gpu, rng_states, self.pos, self.dir, self.wavelengths, self.pol, self.t, self.flags, self.last_hit_triangles, self.weights, np.int32(nsteps), np.int32(use_weights), np.int32(scatter_first), gpu_geometry.gpudata, block=(nthreads_per_block,1,1), grid=(blocks, 1))
step += nsteps
scatter_first = 0 # Only allow non-zero in first pass
if step < max_steps:
temp = input_queue_gpu
input_queue_gpu = output_queue_gpu
output_queue_gpu = temp
# Assign with a numpy array of length 1 to silence
# warning from PyCUDA about setting array with different strides/storage orders.
output_queue_gpu[:1].set(np.ones(shape=1, dtype=np.uint32))
nphotons = input_queue_gpu[:1].get()[0] - 1
if ga.max(self.flags).get() & (1 << 31):
print >>sys.stderr, "WARNING: ABORTED PHOTONS"
cuda.Context.get_current().synchronize()
def stepFunction():
global animIter
cuda.memcpy_dtod( plotDataFloat_d.ptr, concentrationOut_d.ptr, concentrationOut_d.nbytes )
maxVal = (gpuarray.max(plotDataFloat_d)).get()
multiplyByScalarReal( cudaPre(0.5/(maxVal)), plotDataFloat_d )
floatToUchar( plotDataFloat_d, plotDataChars_d)
copyToScreenArray()
if cudaP == "float": [ oneIteration_tex() for i in range(nIterationsPerPlot) ]
#else: [ oneIteration_sh() for i in range(nIterationsPerPlot//2) ]
if plotting and animIter%25 == 0:
maxVals.append( maxVal )
sumConc.append( gpuarray.sum(concentrationIn_d).get() )
plotData( maxVals, sumConc )
animIter += 1
def stepFunction():
global animIter
if showActivity:
cuda.memset_d8(activeBlocks_d.ptr, 0, nBlocks )
findActivityKernel( cudaPre(1.e-10), concentrationIn_d, activeBlocks_d, grid=grid2D, block=block2D )
getActivityKernel( activeBlocks_d, activeThreads_d, grid=grid2D, block=block2D )
cuda.memcpy_dtod( plotData_d.ptr, concentrationOut_d.ptr, concentrationOut_d.nbytes )
maxVal = gpuarray.max( plotData_d ).get()
scalePlotData(100./maxVal, plotData_d, np.uint8(showActivity), activeThreads_d )
if cudaP == "float": [ oneIteration_tex() for i in range(nIterationsPerPlot) ]
else: [ oneIteration_sh() for i in range(nIterationsPerPlot//2) ]
if plotting and animIter%25 == 0:
maxVals.append( maxVal )
sumConc.append( gpuarray.sum(concentrationIn_d).get() )
plotData( maxVals, sumConc )
animIter += 1
def timeTransition():
global realDynamics, alpha, applyTransition
realDynamics = not realDynamics
applyTransition = False
if realDynamics:
cuda.memcpy_dtod(psiK2_d.ptr, psi_d.ptr, psi_d.nbytes)
cuda.memcpy_dtod(psiRunge_d.ptr, psi_d.ptr, psi_d.nbytes)
if realTEXTURE:
copy3DpsiK1Real()
copy3DpsiK1Imag()
copy3DpsiK2Real()
copy3DpsiK2Imag()
print "Real Dynamics"
else:
#GetAlphas
getAlphas( dx, dy, dz, xMin, yMin, zMin, gammaX, gammaY, gammaZ, psi_d, alphas_d, block = block3D, grid=grid3D)
alpha= cudaPre( ( 0.5*(gpuarray.max(alphas_d) + gpuarray.min(alphas_d)) ).get() ) #OPTIMIZACION
print "Imaginary Dynamics"
def implicit_iteration( ): global alpha #Make FFT fftPlan.execute( psi_d, psiFFT_d ) #get Derivatives getPartialsXY( Lx, Ly, psiFFT_d, partialX_d, fftKx_d, partialY_d, fftKy_d, block=block3D, grid=grid3D) fftPlan.execute( partialX_d, inverse=True ) fftPlan.execute( partialY_d, inverse=True ) implicitStep1( xMin, yMin, zMin, dx, dy, dz, alpha, omega, gammaX, gammaY, gammaZ, partialX_d, partialY_d, psi_d, G_d, x0, y0, grid=grid3D, block=block3D) fftPlan.execute( G_d ) implicitStep2( dtImag, fftKx_d , fftKy_d, fftKz_d, alpha, psiFFT_d, G_d, block=block3D, grid=grid3D) fftPlan.execute( psiFFT_d, psi_d, inverse=True) #setBoundryConditionsKernel( np.int32(nWidth), np.int32(nHeight), np.int32(nDepth), psi_d, block=block3D, grid=grid3D) normalize(dx, dy, dz, psi_d) #GetAlphas getAlphas( dx, dy, dz, xMin, yMin, zMin, gammaX, gammaY, gammaZ, psi_d, alphas_d, block = block3D, grid=grid3D) alpha= cudaPre( ( 0.5*(gpuarray.max(alphas_d) + gpuarray.min(alphas_d)) ).get() ) #OPTIMIZACION
def _minmax_impl(a_gpu, axis, min_or_max, out, idxout, stream=None):
''' Returns both max and argmax (min/argmin) along an axis.
Hacked together from scikits.cuda code, since that doesn't have an "out"
argument'''
assert len(a_gpu.shape) < 3
if axis is None: ## Note: PyCUDA doesn't have an overall argmax/argmin!
if min_or_max == 'max':
return gpuarray.max(a_gpu).get()
else:
return gpuarray.min(a_gpu).get()
else:
if axis < 0:
axis += 2
assert axis in (0, 1)
n, m = a_gpu.shape if a_gpu.flags.c_contiguous else (a_gpu.shape[1],
a_gpu.shape[0])
col_kernel, row_kernel = scm._get_minmax_kernel(a_gpu.dtype, min_or_max)
target = out
idx = idxout
if (axis == 0
and a_gpu.flags.c_contiguous) or (axis == 1
and a_gpu.flags.f_contiguous):
col_kernel(a_gpu,
target,
idx,
np.uint32(m),
np.uint32(n),
block=(32, 1, 1),
grid=(m, 1, 1),
stream=stream)
else:
row_kernel(a_gpu,
target,
idx,
np.uint32(m),
np.uint32(n),
block=(32, 1, 1),
grid=(n, 1, 1),
stream=stream)
def _minmax_impl(a_gpu, axis, min_or_max, stream=None, keepdims=False):
""" Returns both max and argmax (min/argmin) along an axis."""
assert len(a_gpu.shape) < 3
if iscomplextype(a_gpu.dtype):
raise ValueError("Cannot compute min/max of complex values")
if axis is None or len(a_gpu.shape) <= 1: ## Note: PyCUDA doesn't have an overall argmax/argmin!
out_shape = (1,) * len(a_gpu.shape)
if min_or_max == "max":
return gpuarray.max(a_gpu).reshape(out_shape), None
else:
return gpuarray.min(a_gpu).reshape(out_shape), None
else:
if axis < 0:
axis += 2
assert axis in (0, 1)
global _global_cublas_allocator
alloc = _global_cublas_allocator
n, m = a_gpu.shape if a_gpu.flags.c_contiguous else (a_gpu.shape[1], a_gpu.shape[0])
col_kernel, row_kernel = _get_minmax_kernel(a_gpu.dtype, min_or_max)
if (axis == 0 and a_gpu.flags.c_contiguous) or (axis == 1 and a_gpu.flags.f_contiguous):
if keepdims:
out_shape = (1, m) if axis == 0 else (m, 1)
else:
out_shape = (m,)
target = gpuarray.empty(out_shape, dtype=a_gpu.dtype, allocator=alloc)
idx = gpuarray.empty(out_shape, dtype=np.uint32, allocator=alloc)
col_kernel(a_gpu, target, idx, np.uint32(m), np.uint32(n), block=(32, 1, 1), grid=(m, 1, 1), stream=stream)
else:
if keepdims:
out_shape = (1, n) if axis == 0 else (n, 1)
else:
out_shape = (n,)
target = gpuarray.empty(out_shape, dtype=a_gpu, allocator=alloc)
idx = gpuarray.empty(out_shape, dtype=np.uint32, allocator=alloc)
row_kernel(a_gpu, target, idx, np.uint32(m), np.uint32(n), block=(32, 1, 1), grid=(n, 1, 1), stream=stream)
return target, idx
def pinv(a_gpu, dev, rcond=1e-15):
"""
Moore-Penrose pseudoinverse.
Compute the Moore-Penrose pseudoinverse of the specified matrix.
Parameters
----------
a_gpu : pycuda.gpuarray.GPUArray
Input matrix of shape `(m, n)`.
dev : pycuda.driver.Device
Device object to be used.
rcond : float
Singular values smaller than `rcond`*max(singular_values)`
are set to zero.
Returns
-------
a_inv_gpu : pycuda.gpuarray.GPUArray
Pseudoinverse of input matrix.
Examples
--------
>>> import pycuda.driver as drv
>>> import pycuda.gpuarray as gpuarray
>>> import pycuda.autoinit
>>> import numpy as np
>>> import linalg
>>> linalg.init()
>>> a = np.asarray(np.random.rand(8, 4), np.float32)
>>> a_gpu = gpuarray.to_gpu(a)
>>> a_inv_gpu = pinv(a_gpu, pycuda.autoinit.device)
>>> np.allclose(np.linalg.pinv(a), a_inv_gpu.get(), 1e-4)
True
>>> b = np.asarray(np.random.rand(8, 4)+1j*np.random.rand(8, 4), np.complex64)
>>> b_gpu = gpuarray.to_gpu(b)
>>> b_inv_gpu = pinv(b_gpu, pycuda.autoinit.device)
>>> np.allclose(np.linalg.pinv(b), b_inv_gpu.get(), 1e-4)
True
"""
# Check input dtype because the SVD can only be computed in single
# precision:
if a_gpu.dtype not in [np.float32, np.complex64]:
raise ValueError('unsupported type')
# Compute SVD:
u_gpu, s_gpu, vh_gpu = svd(a_gpu, 0)
uh_gpu = transpose(u_gpu, dev)
# Get block/grid sizes:
max_threads_per_block, max_block_dim, max_grid_dim = get_dev_attrs(dev)
block_dim, grid_dim = select_block_grid_sizes(dev, s_gpu.shape)
max_blocks_per_grid = max(max_grid_dim)
# Suppress very small singular values:
cutoff_invert_s_mod = \
SourceModule(cutoff_invert_s_mod_template.substitute(
max_threads_per_block=max_threads_per_block,
max_blocks_per_grid=max_blocks_per_grid))
cutoff_invert_s = \
cutoff_invert_s_mod.get_function('cutoff_invert_s')
cutoff_gpu = gpuarray.max(s_gpu)*rcond
cutoff_invert_s(s_gpu.gpudata, cutoff_gpu.gpudata,
np.uint32(s_gpu.size),
block=block_dim, grid=grid_dim)
# The singular values must data type is in uh_gpu:
if s_gpu.dtype == uh_gpu.dtype:
s_diag_gpu = diag(s_gpu, dev)
else:
s_diag_gpu = diag(s_gpu.astype(uh_gpu.dtype), dev)
# Finish pinv computation:
v_gpu = transpose(vh_gpu, dev)
suh_gpu = dot(s_diag_gpu, uh_gpu)
return dot(v_gpu, suh_gpu)
def L1Norm(X):
return gpuarray.max(X * (gpuarray.zeros((X.shape[1],), dtype=int) + 1)).get()
fftKx_h[i] = i*2*np.pi/Lx for i in range(nWidth/2, nWidth): fftKx_h[i] = (i-nWidth)*2*np.pi/Lx for i in range(nHeight/2): fftKy_h[i] = i*2*np.pi/Ly for i in range(nHeight/2, nHeight): fftKy_h[i] = (i-nHeight)*2*np.pi/Ly for i in range(nDepth/2): fftKz_h[i] = i*2*np.pi/Lz for i in range(nDepth/2, nDepth): fftKz_h[i] = (i-nDepth)*2*np.pi/Lz psi_d = gpuarray.to_gpu(psi_h) alphas_d = gpuarray.to_gpu( np.zeros_like(psi_h.real) ) normalize( dx, dy, dz, psi_d ) getAlphas( dx, dy, dz, xMin, yMin, zMin, gammaX, gammaY, gammaZ, psi_d, alphas_d, block = block3D, grid=grid3D) alpha=( 0.5*(gpuarray.max(alphas_d) + gpuarray.min(alphas_d)) ).get() psiMod_d = gpuarray.to_gpu( np.zeros_like(psi_h.real) ) psiFFT_d = gpuarray.to_gpu( np.zeros_like(psi_h) ) partialX_d = gpuarray.to_gpu( np.zeros_like(psi_h) ) partialY_d = gpuarray.to_gpu( np.zeros_like(psi_h) ) G_d = gpuarray.to_gpu( np.zeros_like(psi_h) ) fftKx_d = gpuarray.to_gpu( fftKx_h ) #OPTIMIZATION fftKy_d = gpuarray.to_gpu( fftKy_h ) fftKz_d = gpuarray.to_gpu( fftKz_h ) activity_d = gpuarray.to_gpu( np.ones( nBlocks3D, dtype=np.uint8 ) ) psiOther_d = gpuarray.to_gpu( np.zeros_like(psi_h.real) ) psiK1_d = gpuarray.to_gpu( psi_h ) psiK2_d = gpuarray.to_gpu( psi_h ) psiRunge_d = gpuarray.to_gpu( psi_h ) #For FFT version laplacian_d = gpuarray.to_gpu( np.zeros_like(psi_h) )
d_seed_threshold,
block=blocksize,
grid=gridsize)
# reset the queue for queue calculation
d_queue.fill(0)
cu.memcpy_dtod(d_scan.gpudata, d_nextFront.gpudata, d_nextFront.nbytes)
scan_kernel(d_scan) # scan the front for queue index determination
# call queue kernel in order to generate queue
queue_kernel(d_nextFront,
d_scan,
d_queue,
width,
height,
block=blocksize,
grid=gridsize) # generate queue
qLen = np.int32(gpu.max(
d_scan).get()) # max value in scan must be the largest index of queue
end_gpu_time.record()
end_gpu_time.synchronize()
gpu_comp_time += start_gpu_time.time_till(end_gpu_time) * 1e-3
contComp = True
if (qLen == 0):
contComp = False
steps = 0
# While the next front has pixels we need to process
while contComp:
# Region Growing
# Run the CUDA kernel with the appropriate inputs
start_gpu_time.record()
d_nextFront.fill(0) # set nextFront to zero
def _max_CUDA(a, stream=None):
return cu_array.max(a=a, stream=stream)
r_space_gpu = buffer_r_space - beta * r_space_gpu
sample = gpuif((sample.real < 0).astype(np.bool), r_space_gpu, sample)
r_space_gpu = gpuif(MaskBoolean, sample, r_space_gpu)
#### OSS ####
if (HIOfirst == 0 or iter > np.ceil(iterations/filtercount)) and iter < np.ceil(iterations-iterations/filtercount):
newsigma = sigma[(iter-1)]
if lastUsedSigma != newsigma:
print(str(iter) + ' changing filter to ' + str(newsigma))
kfilter = np.exp(-(((np.sqrt((yy)**2+(xx)**2)**2))/(2*(newsigma)**2))).astype(np.complex64)
kfilter_gpu.set(kfilter)
temp_gpu = kfilter_gpu + 0.0
cu_fft.fft(kfilter_gpu,temp_gpu,plan_forward)
temp_gpu = temp_gpu/gpuarray.max(temp_gpu.real).get().astype(np.float32).astype(np.complex64)
#CuFFTShift(kfilter_gpu,temp_gpu) # Desnecessauro
lastUsedSigma = newsigma
cu_fft.fft(r_space_gpu, ktemp_gpu, plan_forward)
ktemp_gpu = ktemp_gpu*kfilter_gpu
cu_fft.ifft(ktemp_gpu, r_space_gpu, plan_inverse,True)
if np.mod(iterations,iter//filtercount)==0:
r_space_gpu = R2D[filtnum-1] + 0.0
else:
r_space_gpu = gpuif(MaskBoolean,sample,r_space_gpu)
##### ### ####
def pinv(a_gpu, rcond=1e-15):
"""
Moore-Penrose pseudoinverse.
Compute the Moore-Penrose pseudoinverse of the specified matrix.
Parameters
----------
a_gpu : pycuda.gpuarray.GPUArray
Input matrix of shape `(m, n)`.
rcond : float
Singular values smaller than `rcond`*max(singular_values)`
are set to zero.
Returns
-------
a_inv_gpu : pycuda.gpuarray.GPUArray
Pseudoinverse of input matrix.
Notes
-----
Double precision is only supported if the standard version of the
CULA Dense toolkit is installed.
This function destroys the contents of the input matrix.
If the input matrix is square, the pseudoinverse uses less memory.
Examples
--------
>>> import pycuda.driver as drv
>>> import pycuda.gpuarray as gpuarray
>>> import pycuda.autoinit
>>> import numpy as np
>>> import linalg
>>> linalg.init()
>>> a = np.asarray(np.random.rand(8, 4), np.float32)
>>> a_gpu = gpuarray.to_gpu(a)
>>> a_inv_gpu = linalg.pinv(a_gpu)
>>> np.allclose(np.linalg.pinv(a), a_inv_gpu.get(), 1e-4)
True
>>> b = np.asarray(np.random.rand(8, 4)+1j*np.random.rand(8, 4), np.complex64)
>>> b_gpu = gpuarray.to_gpu(b)
>>> b_inv_gpu = linalg.pinv(b_gpu)
>>> np.allclose(np.linalg.pinv(b), b_inv_gpu.get(), 1e-4)
True
"""
if not _has_cula:
raise NotImplementedError('CULA not installed')
# Perform in-place SVD if the matrix is square to save memory:
if a_gpu.shape[0] == a_gpu.shape[1]:
u_gpu, s_gpu, vh_gpu = svd(a_gpu, 's', 'o')
else:
u_gpu, s_gpu, vh_gpu = svd(a_gpu, 's', 's')
# Suppress very small singular values:
cutoff_gpu = gpuarray.max(s_gpu)*rcond
ctype = tools.dtype_to_ctype(s_gpu.dtype)
cutoff_func = el.ElementwiseKernel("{ctype} *s, {ctype} *cutoff".format(ctype=ctype),
"if (s[i] > cutoff[0]) {s[i] = 1/s[i];} else {s[i] = 0;}")
cutoff_func(s_gpu, cutoff_gpu)
# Compute the pseudoinverse without allocating a new diagonal matrix:
return dot(vh_gpu, dot_diag(s_gpu, u_gpu, 't'), 'c', 'c')
def propagate(self,
gpu_geometry,
rng_states,
nthreads_per_block=64,
max_blocks=1024,
max_steps=10,
use_weights=False,
scatter_first=0,
track=False):
"""Propagate photons on GPU to termination or max_steps, whichever
comes first.
May be called repeatedly without reloading photon information if
single-stepping through photon history.
..warning::
`rng_states` must have at least `nthreads_per_block`*`max_blocks`
number of curandStates.
"""
nphotons = self.pos.size
step = 0
input_queue = np.empty(shape=nphotons + 1, dtype=np.uint32)
input_queue[0] = 0
# Order photons initially in the queue to put the clones next to each other
for copy in range(self.ncopies):
input_queue[1 + copy::self.ncopies] = np.arange(
self.true_nphotons,
dtype=np.uint32) + copy * self.true_nphotons
input_queue_gpu = ga.to_gpu(input_queue)
output_queue = np.zeros(shape=nphotons + 1, dtype=np.uint32)
output_queue[0] = 1
output_queue_gpu = ga.to_gpu(output_queue)
if track:
step_photon_ids = []
step_photons = []
#save the first step for all photons in the input queue
step_photon_ids.append(input_queue_gpu[1:nphotons + 1].get())
step_photons.append(
self.copy_queue(input_queue_gpu[1:], nphotons).get())
while step < max_steps:
# Just finish the rest of the steps if the # of photons is low and not tracking
if not track and (nphotons < nthreads_per_block * 16 * 8
or use_weights):
nsteps = max_steps - step
else:
nsteps = 1
for first_photon, photons_this_round, blocks in \
chunk_iterator(nphotons, nthreads_per_block, max_blocks):
self.gpu_funcs.propagate(np.int32(first_photon),
np.int32(photons_this_round),
input_queue_gpu[1:],
output_queue_gpu,
rng_states,
self.pos,
self.dir,
self.wavelengths,
self.pol,
self.t,
self.flags,
self.last_hit_triangles,
self.weights,
self.evidx,
np.int32(nsteps),
np.int32(use_weights),
np.int32(scatter_first),
gpu_geometry.gpudata,
block=(nthreads_per_block, 1, 1),
grid=(blocks, 1))
if track: #save the next step for all photons in the input queue
step_photon_ids.append(input_queue_gpu[1:nphotons + 1].get())
step_photons.append(
self.copy_queue(input_queue_gpu[1:], nphotons).get())
step += nsteps
scatter_first = 0 # Only allow non-zero in first pass
if step < max_steps:
temp = input_queue_gpu
input_queue_gpu = output_queue_gpu
output_queue_gpu = temp
# Assign with a numpy array of length 1 to silence
# warning from PyCUDA about setting array with different strides/storage orders.
output_queue_gpu[:1].set(np.ones(shape=1, dtype=np.uint32))
nphotons = input_queue_gpu[:1].get()[0] - 1
if nphotons == 0:
break
if ga.max(self.flags).get() & (1 << 31):
print("WARNING: ABORTED PHOTONS", file=sys.stderr)
cuda.Context.get_current().synchronize()
if track:
return step_photon_ids, step_photons
gpuSum = reduct.ReductionKernel(numpy.int32, neutral="0", reduce_expr="a+b",map_expr="1 << x[i]", arguments="long* x")
a_gpu = gpuarray.to_gpu(numpy.asarray(range(n), dtype = numpy.int64))
t0 = time.time()
krnl = reduct.ReductionKernel(numpy.int64, neutral="0",
reduce_expr="x[i] + x[i+1]", map_expr="x[i]",
arguments="long *x")
t1 = time.time()
#res = krnl(a_gpu).get()
t5 = time.time()
print gpuarray.max(a_gpu).get()
t6 = time.time()
print '%0.6f' % ((t6 - t5)*1000)
print '%0.6f' % ((t1 - t0)*1000)
t2 = time.time()
sum = sum(range(n))
#maxcpu = max(range(n))
def propagate_hit(self, gpu_geometry, rng_states, parameters):
"""Propagate photons on GPU to termination or max_steps, whichever
comes first.
May be called repeatedly without reloading photon information if
single-stepping through photon history.
..warning::
`rng_states` must have at least `nthreads_per_block`*`max_blocks`
number of curandStates.
got one abort::
In [1]: a = ph("hhMOCK")
In [9]: f = a[:,3,2].view(np.uint32)
In [12]: np.where( f & 1<<31 )
Out[12]: (array([279]),)
failed to just mock that one::
RANGE=279:280 MockNuWa MOCK
"""
nphotons = self.pos.size
nwork = nphotons
nthreads_per_block = parameters['threads_per_block']
max_blocks = parameters['max_blocks']
max_steps = parameters['max_steps']
use_weights = False
scatter_first = 0
self.upload_queues(nwork)
solid_id_map_gpu = gpu_geometry.solid_id_map
solid_id_to_channel_id_gpu = gpu_geometry.solid_id_to_channel_id_gpu
small_remainder = nthreads_per_block * 16 * 8
block = (nthreads_per_block, 1, 1)
results = {}
results['name'] = "propagate_hit"
results['nphotons'] = nphotons
results['nwork'] = nwork
results['nsmall'] = small_remainder
results['COLUMNS'] = "name:s,nphotons:i,nwork:i,nsmall:i"
step = 0
times = []
npass = 0
nabort = 0
while step < max_steps:
npass += 1
if nwork < small_remainder or use_weights:
nsteps = max_steps - step # Just finish the rest of the steps if the # of photons is low
log.debug(
"increase nsteps for stragglers: small_remainder %s nwork %s nsteps %s max_steps %s "
% (small_remainder, nwork, nsteps, max_steps))
else:
nsteps = 1
pass
log.info("nphotons %s nwork %s step %s max_steps %s nsteps %s " %
(nphotons, nwork, step, max_steps, nsteps))
abort = False
for first_photon, photons_this_round, blocks in chunk_iterator(
nwork, nthreads_per_block, max_blocks):
if abort:
nabort += 1
else:
grid = (blocks, 1)
args = (
np.int32(first_photon),
np.int32(photons_this_round),
self.input_queue_gpu[1:].gpudata,
self.output_queue_gpu.gpudata,
rng_states,
self.pos.gpudata,
self.dir.gpudata,
self.wavelengths.gpudata,
self.pol.gpudata,
self.t.gpudata,
self.flags.gpudata,
self.last_hit_triangles.gpudata,
self.weights.gpudata,
np.int32(nsteps),
np.int32(use_weights),
np.int32(scatter_first),
gpu_geometry.gpudata,
solid_id_map_gpu.gpudata,
solid_id_to_channel_id_gpu.gpudata,
)
log.info(
"propagate_hit_kernel.prepared_timed_call grid %s block %s first_photon %s photons_this_round %s "
% (repr(grid), repr(block), first_photon,
photons_this_round))
get_time = self.propagate_hit_kernel.prepared_timed_call(
grid, block, *args)
t = get_time()
times.append(t)
if t > self.max_time:
abort = True
log.warn(
"kernel launch time %s > max_time %s : ABORTING " %
(t, self.max_time))
pass
pass
pass
log.info("step %s propagate_hit_kernel times %s " %
(step, repr(times)))
pass
step += nsteps
scatter_first = 0 # Only allow non-zero in first pass
if step < max_steps:
nwork = self.swap_queues()
pass
pass
log.info("calling max ")
if ga.max(self.flags).get() & (1 << 31):
log.warn("ABORTED PHOTONS")
log.info("done calling max ")
cuda.Context.get_current().synchronize()
results['npass'] = npass
results['nabort'] = nabort
results['nlaunch'] = len(times)
results['tottime'] = sum(times)
results['maxtime'] = max(times)
results['mintime'] = min(times)
results[
'COLUMNS'] += ",npass:i,nabort:i,nlaunch:i,tottime:f,maxtime:f,mintime:f"
return results
c = gpuarray.empty((100, 100), dtype=dtype)
print('c:\n{0}\nshape={1}\n'.format(c, c.shape))
d = gpuarray.zeros((100, 100), dtype=dtype)
print('d:\n{0}\nshape={1}\n'.format(d, d.shape))
e = gpuarray.arange(0.0, 100.0, 1.0, dtype=dtype)
print('e:\n{0}\nshape={1}\n'.format(e, e.shape))
f = gpuarray.if_positive(e < 50, e - 100, e + 100)
print('f:\n{0}\nshape={1}\n'.format(f, f.shape))
g = gpuarray.if_positive(e < 50, gpuarray.ones_like(e), gpuarray.zeros_like(e))
print('g:\n{0}\nshape={1}\n'.format(g, g.shape))
h = gpuarray.maximum(e, f)
print('h:\n{0}\nshape={1}\n'.format(h, h.shape))
i = gpuarray.minimum(e, f)
print('i:\n{0}\nshape={1}\n'.format(i, i.shape))
g = gpuarray.sum(a)
print(g, type(g))
k = gpuarray.max(a)
print(k, type(k))
l = gpuarray.min(a)
print(l, type(l))
def pinv(a_gpu, rcond=1e-15):
"""
Moore-Penrose pseudoinverse.
Compute the Moore-Penrose pseudoinverse of the specified matrix.
Parameters
----------
a_gpu : pycuda.gpuarray.GPUArray
Input matrix of shape `(m, n)`.
rcond : float
Singular values smaller than `rcond`*max(singular_values)`
are set to zero.
Returns
-------
a_inv_gpu : pycuda.gpuarray.GPUArray
Pseudoinverse of input matrix.
Notes
-----
Double precision is only supported if the standard version of the
CULA Dense toolkit is installed.
This function destroys the contents of the input matrix.
If the input matrix is square, the pseudoinverse uses less memory.
Examples
--------
>>> import pycuda.driver as drv
>>> import pycuda.gpuarray as gpuarray
>>> import pycuda.autoinit
>>> import numpy as np
>>> import linalg
>>> linalg.init()
>>> a = np.asarray(np.random.rand(8, 4), np.float32)
>>> a_gpu = gpuarray.to_gpu(a)
>>> a_inv_gpu = linalg.pinv(a_gpu)
>>> np.allclose(np.linalg.pinv(a), a_inv_gpu.get(), 1e-4)
True
>>> b = np.asarray(np.random.rand(8, 4)+1j*np.random.rand(8, 4), np.complex64)
>>> b_gpu = gpuarray.to_gpu(b)
>>> b_inv_gpu = linalg.pinv(b_gpu)
>>> np.allclose(np.linalg.pinv(b), b_inv_gpu.get(), 1e-4)
True
"""
if not _has_cula:
raise NotImplementedError('CULA not installed')
# Perform in-place SVD if the matrix is square to save memory:
if a_gpu.shape[0] == a_gpu.shape[1]:
u_gpu, s_gpu, vh_gpu = svd(a_gpu, 's', 'o')
else:
u_gpu, s_gpu, vh_gpu = svd(a_gpu, 's', 's')
# Get block/grid sizes; the number of threads per block is limited
# to 512 because the cutoff_invert_s kernel defined above uses too
# many registers to be invoked in 1024 threads per block (i.e., on
# GPUs with compute capability >= 2.x):
dev = misc.get_current_device()
max_threads_per_block = 512
block_dim, grid_dim = misc.select_block_grid_sizes(dev, s_gpu.shape, max_threads_per_block)
# Suppress very small singular values:
use_double = 1 if s_gpu.dtype == np.float64 else 0
cutoff_invert_s_mod = \
SourceModule(cutoff_invert_s_template.substitute(use_double=use_double))
cutoff_invert_s = \
cutoff_invert_s_mod.get_function('cutoff_invert_s')
cutoff_gpu = gpuarray.max(s_gpu)*rcond
cutoff_invert_s(s_gpu, cutoff_gpu,
np.uint32(s_gpu.size),
block=block_dim, grid=grid_dim)
# Compute the pseudoinverse without allocating a new diagonal matrix:
return dot(vh_gpu, dot_diag(s_gpu, u_gpu, 't'), 'c', 'c')
def calculateTimestep(meshPropSpeedsGPU, cellDim):
maxPropSpeed = gpuarray.max(cumath.fabs(meshPropSpeedsGPU)).get()
return cellDim / (4.0 * maxPropSpeed)
def cuda_gridvis(csrh_sun, csrh_satellite, settings, plan, chan):
"""
Grid the visibilities parallelized by pixel.
References:
- Chapter 10 in "Interferometry and Synthesis in Radio Astronomy"
by Thompson, Moran, & Swenson
- Daniel Brigg's PhD Thesis: http://www.aoc.nrao.edu/dissertations/dbriggs/
"""
print "Gridding the visibilities"
t_start = time.time()
#f = pyfits.open(settings['vfile'])
# unpack parameters
vfile = settings['vfile']
briggs = settings['briggs']
imsize = settings['imsize']
cell = settings['cell']
nx = np.int32(2 * imsize)
noff = np.int32((nx - imsize) / 2)
## constants
arc2rad = np.float32(np.pi / 180. / 3600.)
du = np.float32(1. / (arc2rad * cell * nx))
## grab data
#f = pyfits.open(settings['vfile'])
Data = np.ndarray(shape=(44, 44, 16), dtype=complex)
UVW = np.ndarray(shape=(780, 1), dtype='float64')
Data, UVW = visibility(csrh_sun, csrh_satellite, chan)
print "UVW*****\n", UVW
# determin the file type (uvfits or fitsidi)
h_uu = np.ndarray(shape=(780), dtype='float64')
h_vv = np.ndarray(shape=(780), dtype='float64')
h_rere = np.ndarray(shape=(780), dtype='float32')
h_imim = np.ndarray(shape=(780), dtype='float32')
freq = 1702500000.
light_speed = 299792458. # Speed of light
## quickly figure out what data is not flagged
#np.float32(f[7].header['CRVAL3']) 299792458vvvv
#good = np.where(f[0].data.data[:,0,0,0,0,0,0] != 0)
#h_u = np.float32(freq*f[0].data.par('uu')[good])
#h_v = np.float32(freq*f[0].data.par('vv')[good])
blen = 0
for antenna1 in range(0, 39):
for antenna2 in range(antenna1 + 1, 40):
h_rere[blen] = Data[antenna1][antenna2][chan].real
h_imim[blen] = Data[antenna1][antenna2][chan].imag
h_uu[blen] = freq * UVW[blen][0]
h_vv[blen] = freq * UVW[blen][1]
blen += 1
print "h_u", h_uu
#h_u = np.float32(h_u.ravel())
#h_v = np.float32(h_v.ravel())
gcount = np.int32(np.size(h_uu))
#gcount = len(gcount.ravel())
#h_re = np.float32(h_re.ravel())
#h_im = np.float32(h_im.ravel())
#freq = 3.45E11 #np.float32(f[0].header['CRVAL4'])
blen = 0
bl_order = np.ndarray(shape=(780, 2), dtype=int)
good = []
for border1 in range(0, 39):
for border2 in range(border1 + 1, 40):
bl_order[blen][0] = border1
bl_order[blen][1] = border2
blen = blen + 1
blen = 0
h_u = []
h_v = []
h_re = []
h_im = []
Flag_Ant = [
0, 4, 8, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26,
28, 29, 37, 38, 39
]
for blen in range(0, 780):
if (bl_order[blen][0] not in Flag_Ant) and (bl_order[blen][1]
not in Flag_Ant):
good.append(blen)
h_u.append(h_uu[blen])
h_v.append(h_vv[blen])
h_re.append(h_rere[blen])
h_im.append(h_imim[blen])
#print "Good:",good
gcount = np.int32(np.size(h_u))
## assume data is unpolarized
#print chan
print 'GCOUNT', gcount
#print "H_U", h_u
#print "H_V", h_v
#print h_re
#print h_im
# h_ : host, d_ : device
h_grd = np.zeros((nx, nx), dtype=np.complex64)
h_cnt = np.zeros((nx, nx), dtype=np.int32)
d_u = gpu.to_gpu(np.array(h_uu, dtype='float32'))
d_v = gpu.to_gpu(np.array(h_vv, dtype='float32'))
d_re = gpu.to_gpu(np.array(h_rere, dtype='float32'))
d_im = gpu.to_gpu(np.array(h_imim, dtype='float32'))
d_cnt = gpu.zeros((np.int(nx), np.int(nx)), np.int32)
d_grd = gpu.zeros((np.int(nx), np.int(nx)), np.complex64)
d_ngrd = gpu.zeros_like(d_grd)
d_bm = gpu.zeros_like(d_grd)
d_nbm = gpu.zeros_like(d_grd)
d_fim = gpu.zeros((np.int(imsize), np.int(imsize)), np.float32)
## define kernel parameters
if imsize == 1024:
blocksize2D = (8, 16, 1)
gridsize2D = (np.int(np.ceil(1. * nx / blocksize2D[0])),
np.int(np.ceil(1. * nx / blocksize2D[1])))
blocksizeF2D = (16, 16, 1)
gridsizeF2D = (np.int(np.ceil(1. * imsize / blocksizeF2D[0])),
np.int(np.ceil(1. * imsize / blocksizeF2D[1])))
blocksize1D = (256, 1, 1)
else:
blocksize2D = (16, 32, 1)
gridsize2D = (np.int(np.ceil(1. * nx / blocksize2D[0])),
np.int(np.ceil(1. * nx / blocksize2D[1])))
blocksizeF2D = (32, 32, 1)
gridsizeF2D = (np.int(np.ceil(1. * imsize / blocksizeF2D[0])),
np.int(np.ceil(1. * imsize / blocksizeF2D[1])))
blocksize1D = (512, 1, 1)
gridsize1D = (np.int(np.ceil(1. * gcount / blocksize1D[0])), 1)
# ------------------------
# make gridding kernels
# ------------------------
## make spheroidal convolution kernel (don't mess with these!)
width = 6.
ngcf = 24.
h_cgf = gcf(ngcf, width)
## make grid correction
h_corr = corrfun(nx, width)
d_cgf = module.get_global('cgf')[0]
d_corr = gpu.to_gpu(h_corr)
cu.memcpy_htod(d_cgf, h_cgf)
# ------------------------
# grid it up
# ------------------------
d_umax = gpu.max(cumath.fabs(d_u))
d_vmax = gpu.max(cumath.fabs(d_v))
umax = np.int32(np.ceil(d_umax.get() / du))
vmax = np.int32(np.ceil(d_vmax.get() / du))
## grid ($$)
# This should be improvable via:
# - shared memory solution? I tried...
# - better coalesced memory access? I tried...
# - reorganzing and indexing UV data beforehand?
# (i.e. http://www.nvidia.com/docs/IO/47905/ECE757_Project_Report_Gregerson.pdf)
# - storing V(u,v) in texture memory?
gridVis_wBM_kernel(d_grd, d_bm, d_cnt, d_u, d_v, d_re, d_im, nx, du, gcount, umax, vmax, \
block=blocksize2D, grid=gridsize2D)
## apply weights
wgtGrid_kernel(d_bm, d_cnt, briggs, nx, block=blocksize2D, grid=gridsize2D)
hfac = np.int32(1)
dblGrid_kernel(d_bm, nx, hfac, block=blocksize2D, grid=gridsize2D)
shiftGrid_kernel(d_bm, d_nbm, nx, block=blocksize2D, grid=gridsize2D)
## normalize
wgtGrid_kernel(d_grd,
d_cnt,
briggs,
nx,
block=blocksize2D,
grid=gridsize2D)
## Reflect grid about v axis
hfac = np.int32(-1)
dblGrid_kernel(d_grd, nx, hfac, block=blocksize2D, grid=gridsize2D)
## Shift both
shiftGrid_kernel(d_grd, d_ngrd, nx, block=blocksize2D, grid=gridsize2D)
# ------------------------
# Make the beam
# ------------------------
## Transform to image plane
fft.fft(d_nbm, d_bm, plan)
## Shift
shiftGrid_kernel(d_bm, d_nbm, nx, block=blocksize2D, grid=gridsize2D)
## Correct for C
corrGrid_kernel(d_nbm, d_corr, nx, block=blocksize2D, grid=gridsize2D)
# Trim
trimIm_kernel(d_nbm,
d_fim,
noff,
nx,
imsize,
block=blocksizeF2D,
grid=gridsizeF2D)
## Normalize
d_bmax = gpu.max(d_fim)
bmax = d_bmax.get()
bmax = np.float32(1. / bmax)
nrmBeam_kernel(d_fim, bmax, imsize, block=blocksizeF2D, grid=gridsizeF2D)
## Pull onto CPU
dpsf = d_fim.get()
# ------------------------
# Make the map
# ------------------------
## Transform to image plane
fft.fft(d_ngrd, d_grd, plan)
## Shift
shiftGrid_kernel(d_grd, d_ngrd, nx, block=blocksize2D, grid=gridsize2D)
## Correct for C
corrGrid_kernel(d_ngrd, d_corr, nx, block=blocksize2D, grid=gridsize2D)
## Trim
trimIm_kernel(d_ngrd,
d_fim,
noff,
nx,
imsize,
block=blocksizeF2D,
grid=gridsizeF2D)
## Normalize (Jy/beam)
nrmGrid_kernel(d_fim, bmax, imsize, block=blocksizeF2D, grid=gridsizeF2D)
## Finish timers
t_end = time.time()
t_full = t_end - t_start
print "Gridding execution time %0.5f" % t_full + ' s'
print "\t%0.5f" % (t_full / gcount) + ' s per visibility'
## Return dirty psf (CPU) and dirty image (GPU)
return dpsf, d_fim
def bicgstabMemory(cublasHandle, x_gpu, b_gpu, Xprime_gpu, X_gpu, XX_gpu,
Yprime_gpu, Y_gpu, YY_gpu, Zprime_gpu, zzero, freq,
FREQ_gpu, c, Deltaxprime, Deltayprime, Deltazprime,
sizePartitionr, sizePartitionc, M, max_it, tol):
# --- flag: 0 = solution found to tolerance
# 1 = no convergence given max_it
# -1 = breakdown: rho = 0
# -2 = breakdown: omega = 0
N = xcg_gpu.size
# --- Initializations
iter = np.float32(0)
flag = np.float32(0)
alpha = np.float32(0)
rho_1 = np.float32(0)
v_gpu = gpuarray.zeros(N, dtype=np.float32)
p_gpu = gpuarray.zeros(N, dtype=np.float32)
# d_p_hat = gpuarray.zeros(N, dtype = np.float32)
# d_s_hat = gpuarray.zeros(N, dtype = np.float32)
# d_t = gpuarray.zeros(N, dtype = np.float32)
#bnrm2 = np.sqrt((culinalg.dot(b_gpu, b_gpu.conj(), 'T', 'N').real).get())
bnrm2 = cublas.cublasScnrm2(cublasHandle, N, b_gpu.gpudata, 1)
if bnrm2 == np.float32(0.0):
bnrm2 = np.float32(1.0)
yprime_gpu = computeAx(x_gpu, Xprime_gpu, X_gpu, XX_gpu, Yprime_gpu, Y_gpu,
YY_gpu, Zprime_gpu, zzero, freq, FREQ_gpu, c,
Deltaxprime, Deltayprime, Deltazprime,
sizePartitionc, XX_gpu.size)
xprime_gpu = computeAdy(cublasHandle, yprime_gpu, Xprime_gpu, XX_gpu,
Yprime_gpu, YY_gpu, Zprime_gpu, zzero, FREQ_gpu, c,
Deltaxprime * Deltayprime * Deltazprime,
sizePartitionr, b_gpu.size)
r_gpu = b_gpu - xprime_gpu
error = cublas.cublasScnrm2(cublasHandle, N, r_gpu.gpudata, 1) / bnrm2
if (error < tol):
return x_gpu, error, iter, flag
omega = np.float32(1.0)
r_tld_gpu = r_gpu.copy()
for iter in range(max_it):
rho = cublas.cublasCdotc(cublasHandle, N, r_tld_gpu.gpudata, 1,
r_gpu.gpudata, 1) # direction vector
if (rho == np.float32(0.0)):
break
if (iter > 0):
beta = (rho / rho_1) * (alpha / omega)
cublas.cublasCaxpy(cublasHandle, N, -omega, v_gpu.gpudata, 1,
p_gpu.gpudata, 1)
cublas.cublasCscal(cublasHandle, N, beta, p_gpu.gpudata, 1)
cublas.cublasCaxpy(cublasHandle, N, np.float32(1.0), r_gpu.gpudata,
1, p_gpu.gpudata, 1)
else:
p_gpu = r_gpu.copy()
p_hat_gpu = p_gpu.copy()
yprime_gpu = computeAx(p_hat_gpu, Xprime_gpu, X_gpu, XX_gpu,
Yprime_gpu, Y_gpu, YY_gpu, Zprime_gpu, zzero,
freq, FREQ_gpu, c, Deltaxprime, Deltayprime,
Deltazprime, sizePartitionc, XX_gpu.size)
v_gpu = computeAdy(cublasHandle, yprime_gpu, Xprime_gpu, XX_gpu,
Yprime_gpu, YY_gpu, Zprime_gpu, zzero, FREQ_gpu, c,
Deltaxprime * Deltayprime * Deltazprime,
sizePartitionr, b_gpu.size)
alpha = rho / cublas.cublasCdotc(cublasHandle, N, r_tld_gpu.gpudata, 1,
v_gpu.gpudata, 1)
s_gpu = r_gpu.copy()
cublas.cublasCaxpy(cublasHandle, N, -alpha, v_gpu.gpudata, 1,
s_gpu.gpudata, 1)
norms = cublas.cublasScnrm2(cublasHandle, N, s_gpu.gpudata, 1)
if (norms < tol): # --- early convergence check
cublas.cublasCaxpy(cublasHandle, N, np.float32(alpha),
p_hat_gpu.gpudata, 1, x_gpu.gpudata, 1)
break
# --- stabilizer
s_hat_gpu = s_gpu.copy()
yprime_gpu = computeAx(s_hat_gpu, Xprime_gpu, X_gpu, XX_gpu,
Yprime_gpu, Y_gpu, YY_gpu, Zprime_gpu, zzero,
freq, FREQ_gpu, c, Deltaxprime, Deltayprime,
Deltazprime, sizePartitionc, XX_gpu.size)
t_gpu = computeAdy(cublasHandle, yprime_gpu, Xprime_gpu, XX_gpu,
Yprime_gpu, YY_gpu, Zprime_gpu, zzero, FREQ_gpu, c,
Deltaxprime * Deltayprime * Deltazprime,
sizePartitionr, b_gpu.size)
omega = cublas.cublasCdotc(cublasHandle, N, t_gpu.gpudata, 1,
s_gpu.gpudata, 1) / cublas.cublasCdotc(
cublasHandle, N, t_gpu.gpudata, 1,
t_gpu.gpudata, 1)
# --- update approximation
cublas.cublasCaxpy(cublasHandle, N, alpha, p_hat_gpu.gpudata, 1,
x_gpu.gpudata, 1)
cublas.cublasCaxpy(cublasHandle, N, omega, s_hat_gpu.gpudata, 1,
x_gpu.gpudata, 1)
r_gpu = s_gpu.copy()
cublas.cublasCaxpy(cublasHandle, N, -omega, t_gpu.gpudata, 1,
r_gpu.gpudata, 1)
error = cublas.cublasScnrm2(cublasHandle, N, r_gpu.gpudata, 1) / bnrm2
# --- check convergence
if (error <= tol):
break
if (omega == np.float32(0.0)):
break
rho_1 = rho
print("iteration")
temp = np.sqrt(
gpuarray.max(s_gpu.real * s_gpu.real + s_gpu.imag * s_gpu.imag).get())
if ((error <= np.float32(tol)) or temp <= tol): # --- converged
if (temp <= tol):
error = cublas.cublasScnrm2(cublasHandle, N, s_gpu.gpudata,
1) / bnrm2
flag = 0
elif (omega == np.float32(0.0)): # --- breakdown
flag = -2
elif (rho == np.float32(0.0)):
flag = -1
else: # --- no convergence
flag = 1
p_hat_gpu.gpudata.free()
s_hat_gpu.gpudata.free()
v_gpu.gpudata.free()
t_gpu.gpudata.free()
return xcg_gpu, 0, 0, 0
Theil(nps,
indices,
data_gpu,
pt_ax_gpu,
pts_gpu,
Nevts,
block=(BLOCKSIZE, 1, 1),
grid=(nps / BLOCKSIZE, 1, 1))
theils = indices.get()
pion = pion_gpu.get()
kaon = kaon_gpu.get()
all_shit = []
best_th = gpuarray.max(indices).get()
mask = indices == best_th
S = gpuarray.sum(mask).get()
mpi = gpuarray.sum(pion_gpu * mask) / S
mk = gpuarray.sum(kaon_gpu * mask) / S
if S > 1:
print "interesting, ", S, " points out of ", len(
mask), "have all the maximum Theil index, will average them"
print "Best Theil:", best_th, "Mpi: ", mpi, "MK: ", mk, "Scale: ", scale
print "##############################################"
result = [best_th, mpi.get(), mk.get()]
#ploteo o resultado neste espazo:
def toy(x, Mt, mt, M=MPDG, m=mPDG):
a = np.sqrt(M**2 - 4. * m**2) / M
def cuda_gridvis(sub_array, f, settings, plan, chan):
"""
Grid the visibilities parallelized by pixel.
References:
- Chapter 10 in "Interferometry and Synthesis in Radio Astronomy"
by Thompson, Moran, & Swenson
- Daniel Brigg's PhD Thesis: http://www.aoc.nrao.edu/dissertations/dbriggs/
"""
print "Gridding the visibilities"
t_start = time.time()
if sub_array==1:
Antennas = 40
else:
Antennas = 60
# unpack parameters
vfile = settings['vfile']
briggs = settings['briggs']
imsize = settings['imsize']
cell = settings['cell']
nx = np.int32(2 * imsize)
noff = np.int32((nx - imsize) / 2)
## constants
arc2rad = np.float32(np.pi / 180. / 3600.)
du = np.float32(1. / (arc2rad * cell * nx))
# determin the file type (uvfits or fitsidi)
h_u = np.ndarray(shape=(Antennas*(Antennas-1)//2, 1), dtype='float64')
h_v = np.ndarray(shape=(Antennas*(Antennas-1)//2, 1), dtype='float64')
h_re = np.ndarray(shape=(Antennas*(Antennas-1)//2, 1), dtype='float32')
h_im = np.ndarray(shape=(Antennas*(Antennas-1)//2, 1), dtype='float32')
#Get Visibility Data and values of UVW
if settings['vfile'].find('.uvfits') != -1:
freq = 3.45E11 #np.float32(f[0].header['CRVAL4'])
light_speed = 299792458.
good = np.where(f[0].data.data[:, 0, 0, chan, 0, 0] != 0)
h_u = np.float32(light_speed * f[0].data.par('uu')[good])
print "h_u", h_u.shape
h_v = np.float32(light_speed * f[0].data.par('vv')[good])
gcount = np.int32(np.size(h_u))
## assume data is unpolarized
h_re = np.float32(f[0].data.data[good, 0, 0, chan, 0, 0])
h_im = np.float32(f[0].data.data[good, 0, 0, chan, 0, 1])
freq = 1702500000.
light_speed = 299792458. # Speed of light
## assume data is unpolarized
#print chan
print 'GCOUNT', gcount
# h_ : host, d_ : device
h_grd = np.zeros((nx, nx), dtype=np.complex64)
h_cnt = np.zeros((nx, nx), dtype=np.int32)
d_u = gpu.to_gpu(np.array(h_u,dtype='float32'))
d_v = gpu.to_gpu(np.array(h_v,dtype='float32'))
d_re = gpu.to_gpu(np.array(h_re,dtype='float32'))
d_im = gpu.to_gpu(np.array(h_im,dtype='float32'))
d_cnt = gpu.zeros((np.int(nx), np.int(nx)), np.int32)
d_grd = gpu.zeros((np.int(nx), np.int(nx)), np.complex64)
d_ngrd = gpu.zeros_like(d_grd)
d_bm = gpu.zeros_like(d_grd)
d_nbm = gpu.zeros_like(d_grd)
d_fim = gpu.zeros((np.int(imsize), np.int(imsize)), np.float32)
## define kernel parameters
if imsize == 1024:
blocksize2D = (8, 16, 1)
gridsize2D = (np.int(np.ceil(1. * nx / blocksize2D[0])), np.int(np.ceil(1. * nx / blocksize2D[1])))
blocksizeF2D = (16, 16, 1)
gridsizeF2D = (np.int(np.ceil(1. * imsize / blocksizeF2D[0])), np.int(np.ceil(1. * imsize / blocksizeF2D[1])))
blocksize1D = (256, 1, 1)
else:
blocksize2D = (16, 32, 1)
gridsize2D = (np.int(np.ceil(1. * nx / blocksize2D[0])), np.int(np.ceil(1. * nx / blocksize2D[1])))
blocksizeF2D = (32, 32, 1)
gridsizeF2D = (np.int(np.ceil(1. * imsize / blocksizeF2D[0])), np.int(np.ceil(1. * imsize / blocksizeF2D[1])))
blocksize1D = (512, 1, 1)
gridsize1D = (np.int(np.ceil(1. * gcount / blocksize1D[0])), 1)
# ------------------------
# make gridding kernels
# ------------------------
## make spheroidal convolution kernel (don't mess with these!)
width = 6.
ngcf = 24.
h_cgf = gcf(ngcf, width)
## make grid correction
h_corr = corrfun(nx, width)
d_cgf = module.get_global('cgf')[0]
d_corr = gpu.to_gpu(h_corr)
cu.memcpy_htod(d_cgf, h_cgf)
# ------------------------
# grid it up
# ------------------------
d_umax = gpu.max(cumath.fabs(d_u))
d_vmax = gpu.max(cumath.fabs(d_v))
umax = np.int32(np.ceil(d_umax.get() / du))
vmax = np.int32(np.ceil(d_vmax.get() / du))
## grid ($$)
# This should be improvable via:
# - shared memory solution? I tried...
# - better coalesced memory access? I tried...
# - reorganzing and indexing UV data beforehand?
# (i.e. http://www.nvidia.com/docs/IO/47905/ECE757_Project_Report_Gregerson.pdf)
# - storing V(u,v) in texture memory?
# Each pixel in the uv plane goes through the data and check to see whether the pixel is included in the convolution.
# This kernel also calculates the point spread function and the local sampling
# from the data (for applying the weights later).
gridVis_wBM_kernel(d_grd, d_bm, d_cnt, d_u, d_v, d_re, d_im, nx, du, gcount, umax, vmax, \
block=blocksize2D, grid=gridsize2D)
## apply weights
wgtGrid_kernel(d_bm, d_cnt, briggs, nx, block=blocksize2D, grid=gridsize2D)
hfac = np.int32(1)
dblGrid_kernel(d_bm, nx, hfac, block=blocksize2D, grid=gridsize2D)
shiftGrid_kernel(d_bm, d_nbm, nx, block=blocksize2D, grid=gridsize2D)
## normalize
wgtGrid_kernel(d_grd, d_cnt, briggs, nx, block=blocksize2D, grid=gridsize2D)
## Reflect grid about v axis
hfac = np.int32(-1)
dblGrid_kernel(d_grd, nx, hfac, block=blocksize2D, grid=gridsize2D)
## Shift both
shiftGrid_kernel(d_grd, d_ngrd, nx, block=blocksize2D, grid=gridsize2D)
# ------------------------
# Make the beam
# ------------------------
## Transform to image plane
fft.fft(d_nbm, d_bm, plan)
## Shift
shiftGrid_kernel(d_bm, d_nbm, nx, block=blocksize2D, grid=gridsize2D)
## Correct for C
corrGrid_kernel(d_nbm, d_corr, nx, block=blocksize2D, grid=gridsize2D)
# Trim
trimIm_kernel(d_nbm, d_fim, noff, nx, imsize, block=blocksizeF2D, grid=gridsizeF2D)
## Normalize
d_bmax = gpu.max(d_fim)
bmax = d_bmax.get()
bmax = np.float32(1. / bmax)
nrmBeam_kernel(d_fim, bmax, imsize, block=blocksizeF2D, grid=gridsizeF2D)
## Pull onto CPU
dpsf = d_fim.get()
# ------------------------
# Make the map
# ------------------------
## Transform to image plane
fft.fft(d_ngrd, d_grd, plan)
## Shift
shiftGrid_kernel(d_grd, d_ngrd, nx, block=blocksize2D, grid=gridsize2D)
## Correct for C
corrGrid_kernel(d_ngrd, d_corr, nx, block=blocksize2D, grid=gridsize2D)
## Trim
trimIm_kernel(d_ngrd, d_fim, noff, nx, imsize, block=blocksizeF2D, grid=gridsizeF2D)
## Normalize (Jy/beam)
nrmGrid_kernel(d_fim, bmax, imsize, block=blocksizeF2D, grid=gridsizeF2D)
## Finish timers
t_end = time.time()
t_full = t_end - t_start
print "Gridding execution time %0.5f" % t_full + ' s'
print "\t%0.5f" % (t_full / gcount) + ' s per visibility'
## Return dirty psf (CPU) and dirty image (GPU)
return dpsf, d_fim
d_thisFront, d_nextFront = d_nextFront, d_thisFront
d_nextFront.fill(0)
#d_nextFront = gpu.zeros_like(d_thisFront)
# Run the CUDA kernel with the appropriate inputs
start_gpu_time.record()
regionGrow_kernel(d_image,
d_region,
d_thisFront,
d_nextFront,
width,
height,
d_threshold,
block=blocksize,
grid=gridsize)
# nextFront should have all zeroes if there are no more fronts
moreFronts = gpu.max(d_nextFront).get()
end_gpu_time.record()
end_gpu_time.synchronize()
gpu_comp_time += start_gpu_time.time_till(end_gpu_time) * 1e-3
# check if the max element in nextFront is a zero
if (moreFronts == 0):
contComp = False # terminate loop
# Increment counter
i += 1
# Copy from device to host
start_gpu_time.record()
h_region = d_region.get()
h_region = h_region.reshape([height, width])
end_gpu_time.record()
def cuda_gridvis(settings,plan):
"""
Grid the visibilities parallelized by pixel.
References:
- Chapter 10 in "Interferometry and Synthesis in Radio Astronomy"
by Thompson, Moran, & Swenson
- Daniel Brigg's PhD Thesis: http://www.aoc.nrao.edu/dissertations/dbriggs/
"""
print "Gridding the visibilities"
t_start=time.time()
# unpack parameters
vfile = settings['vfile']
briggs = settings['briggs']
imsize = settings['imsize']
cell = settings['cell']
nx = np.int32(2*imsize)
noff = np.int32((nx-imsize)/2)
## constants
arc2rad = np.float32(np.pi/180/3600.)
du = np.float32(1./(arc2rad*cell*nx))
## grab data
f = pyfits.open(settings['vfile'])
## quickly figure out what data is not flagged
freq = np.float32(f[0].header['CRVAL4'])
good = np.where(f[0].data.data[:,0,0,0,0,0,0] != 0)
h_u = np.float32(freq*f[0].data.par('uu')[good])
h_v = np.float32(freq*f[0].data.par('vv')[good])
gcount = np.int32(np.size(h_u))
## assume data is unpolarized
h_re = np.float32(0.5*(f[0].data.data[good,0,0,0,0,0,0]+f[0].data.data[good,0,0,0,0,1,0]))
h_im = np.float32(0.5*(f[0].data.data[good,0,0,0,0,0,1]+f[0].data.data[good,0,0,0,0,1,1]))
## make GPU arrays
h_grd = np.zeros((nx,nx),dtype=np.complex64)
h_cnt = np.zeros((nx,nx),dtype=np.int32)
d_u = gpu.to_gpu(h_u)
d_v = gpu.to_gpu(h_v)
d_re = gpu.to_gpu(h_re)
d_im = gpu.to_gpu(h_im)
d_cnt = gpu.zeros((np.int(nx),np.int(nx)),np.int32)
d_grd = gpu.zeros((np.int(nx),np.int(nx)),np.complex64)
d_ngrd = gpu.zeros_like(d_grd)
d_bm = gpu.zeros_like(d_grd)
d_nbm = gpu.zeros_like(d_grd)
d_fim = gpu.zeros((np.int(imsize),np.int(imsize)),np.float32)
## define kernel parameters
blocksize2D = (8,16,1)
gridsize2D = (np.int(np.ceil(1.*nx/blocksize2D[0])),np.int(np.ceil(1.*nx/blocksize2D[1])))
blocksizeF2D = (16,16,1)
gridsizeF2D = (np.int(np.ceil(1.*imsize/blocksizeF2D[0])),np.int(np.ceil(1.*imsize/blocksizeF2D[1])))
blocksize1D = (256,1,1)
gridsize1D = (np.int(np.ceil(1.*gcount/blocksize1D[0])),1)
# ------------------------
# make gridding kernels
# ------------------------
## make spheroidal convolution kernel (don't mess with these!)
width = 6.
ngcf = 24.
h_cgf = gcf(ngcf,width)
## make grid correction
h_corr = corrfun(nx,width)
d_cgf = module.get_global('cgf')[0]
d_corr = gpu.to_gpu(h_corr)
cu.memcpy_htod(d_cgf,h_cgf)
# ------------------------
# grid it up
# ------------------------
d_umax = gpu.max(cumath.fabs(d_u))
d_vmax = gpu.max(cumath.fabs(d_v))
umax = np.int32(np.ceil(d_umax.get()/du))
vmax = np.int32(np.ceil(d_vmax.get()/du))
## grid ($$)
# This should be improvable via:
# - shared memory solution? I tried...
# - better coalesced memory access? I tried...
# - reorganzing and indexing UV data beforehand?
# (i.e. http://www.nvidia.com/docs/IO/47905/ECE757_Project_Report_Gregerson.pdf)
# - storing V(u,v) in texture memory?
gridVis_wBM_kernel(d_grd,d_bm,d_cnt,d_u,d_v,d_re,d_im,nx,du,gcount,umax,vmax,\
block=blocksize2D,grid=gridsize2D)
## apply weights
wgtGrid_kernel(d_bm,d_cnt,briggs,nx,block=blocksize2D,grid=gridsize2D)
hfac = np.int32(1)
dblGrid_kernel(d_bm,nx,hfac,block=blocksize2D,grid=gridsize2D)
shiftGrid_kernel(d_bm,d_nbm,nx,block=blocksize2D,grid=gridsize2D)
## normalize
wgtGrid_kernel(d_grd,d_cnt,briggs,nx,block=blocksize2D,grid=gridsize2D)
## Reflect grid about v axis
hfac = np.int32(-1)
dblGrid_kernel(d_grd,nx,hfac,block=blocksize2D,grid=gridsize2D)
## Shift both
shiftGrid_kernel(d_grd,d_ngrd,nx,block=blocksize2D,grid=gridsize2D)
# ------------------------
# Make the beam
# ------------------------
## Transform to image plane
fft.fft(d_nbm,d_bm,plan)
## Shift
shiftGrid_kernel(d_bm,d_nbm,nx,block=blocksize2D,grid=gridsize2D)
## Correct for C
corrGrid_kernel(d_nbm,d_corr,nx,block=blocksize2D,grid=gridsize2D)
# Trim
trimIm_kernel(d_nbm,d_fim,noff,nx,imsize,block=blocksizeF2D,grid=gridsizeF2D)
## Normalize
d_bmax = gpu.max(d_fim)
bmax = d_bmax.get()
bmax = np.float32(1./bmax)
nrmBeam_kernel(d_fim,bmax,imsize,block=blocksizeF2D,grid=gridsizeF2D)
## Pull onto CPU
dpsf = d_fim.get()
# ------------------------
# Make the map
# ------------------------
## Transform to image plane
fft.fft(d_ngrd,d_grd,plan)
## Shift
shiftGrid_kernel(d_grd,d_ngrd,nx,block=blocksize2D,grid=gridsize2D)
## Correct for C
corrGrid_kernel(d_ngrd,d_corr,nx,block=blocksize2D,grid=gridsize2D)
## Trim
trimIm_kernel(d_ngrd,d_fim,noff,nx,imsize,block=blocksizeF2D,grid=gridsizeF2D)
## Normalize (Jy/beam)
nrmGrid_kernel(d_fim,bmax,imsize,block=blocksizeF2D,grid=gridsizeF2D)
## Finish timers
t_end=time.time()
t_full=t_end-t_start
print "Gridding execution time %0.5f"%t_full+' s'
print "\t%0.5f"%(t_full/gcount)+' s per visibility'
## Return dirty psf (CPU) and dirty image (GPU)
return dpsf,d_fim
def cuda_gridvis(self, plan, x_offset, y_offset):
"""
Grid the visibilities parallelized by pixel.
References:
- Chapter 10 in "Interferometry and Synthesis in Radio Astronomy"
by Thompson, Moran, & Swenson
- Daniel Brigg's PhD Thesis: http://www.aoc.nrao.edu/dissertations/dbriggs/
If the size of the image is 1024x1024, the plan should be at least 1024*1.414 (about 25 degrees' rotation)
And to satisfy the requirements of CLEAN, the dirty image should be 1024* 2.828
"""
logger.debug("Gridding the visibilities")
t_start = time.time()
nx = np.int32(2 * self.imsize)
noff = np.int32((nx - self.imsize) / 2)
arc2rad = np.float32(np.pi / 180. / 3600.)
du = np.float32(1. / (arc2rad * self.cell)) / (self.imsize * 2.)
logger.debug("1 Pixel DU = %f" % du)
h_uu = np.float32(self.h_uu.ravel())
h_vv = np.float32(self.h_vv.ravel())
h_rere = np.float32(self.h_rere.ravel())
h_imim = np.float32(self.h_imim.ravel())
blen = 0
bl_order = np.ndarray(shape=(self.baseline_number, 2), dtype=int)
good = []
if self.baseline_number == 780: # MUSER-I
antennas = 40
else:
antennas = 60
# print antennas
for border1 in range(0, antennas - 1):
for border2 in range(border1 + 1, antennas):
bl_order[blen][0] = border1
bl_order[blen][1] = border2
blen = blen + 1
h_u = []
h_v = []
h_re = []
h_im = []
for blen in range(0, self.baseline_number):
if (bl_order[blen][0]
not in self.Flag_Ant) and (bl_order[blen][1]
not in self.Flag_Ant):
good.append(blen)
h_u.append(h_uu[blen])
h_v.append(h_vv[blen])
h_re.append(h_rere[blen])
h_im.append(h_imim[blen])
gcount = np.int32(np.size(h_u))
# h_ : host, d_ : device
# h_grd = np.zeros((nx, nx), dtype=np.complex64)
# h_cnt = np.zeros((nx, nx), dtype=np.int32)
d_u = gpu.to_gpu(np.array(h_u, dtype='float32'))
d_v = gpu.to_gpu(np.array(h_v, dtype='float32'))
d_re = gpu.to_gpu(np.array(h_re, dtype='float32'))
d_im = gpu.to_gpu(np.array(h_im, dtype='float32'))
d_cnt = gpu.zeros((np.int(nx), np.int(nx)), np.int32)
d_grd = gpu.zeros((np.int(nx), np.int(nx)), np.complex64)
d_ngrd = gpu.zeros_like(d_grd)
d_bm = gpu.zeros_like(d_grd)
d_nbm = gpu.zeros_like(d_grd)
d_cbm = gpu.zeros_like(d_grd)
d_fbm = gpu.zeros((np.int(nx), np.int(nx)), np.float32)
d_fim = gpu.zeros((np.int(self.imsize), np.int(self.imsize)),
np.float32)
d_dim = gpu.zeros((np.int(self.imsize), np.int(self.imsize)),
np.float32)
d_sun_disk = gpu.zeros_like(d_grd)
d_fdisk = gpu.zeros((np.int(self.imsize), np.int(self.imsize)),
np.float32)
## define kernel parameters
self.calc_gpu_thread(nx, self.imsize, gcount)
width = 6.
ngcf = 24.
h_cgf = self.gcf(ngcf, width)
## make grid correction
h_corr = self.corrfun(nx, width)
d_cgf = self.module.get_global('cgf')[0]
d_corr = gpu.to_gpu(h_corr)
cu.memcpy_htod(d_cgf, h_cgf)
# ------------------------
# grid it up
# ------------------------
d_umax = gpu.max(cumath.fabs(d_u))
d_vmax = gpu.max(cumath.fabs(d_v))
umax = np.int32(np.ceil(d_umax.get() / du))
vmax = np.int32(np.ceil(d_vmax.get() / du))
self.gridVis_wBM_kernel(d_grd,
d_bm,
d_cbm,
d_cnt,
d_u,
d_v,
d_re,
d_im,
np.int32(nx),
np.float32(du),
np.int32(gcount),
np.int32(umax),
np.int32(vmax),
np.int32(1 if self.correct_p_angle else 0),
block=self.blocksize_2D,
grid=self.gridsize_2D)
## apply weights
self.wgtGrid_kernel(d_bm,
d_cnt,
self.briggs,
nx,
0,
block=self.blocksize_2D,
grid=self.gridsize_2D)
hfac = np.int32(1)
self.dblGrid_kernel(d_bm,
nx,
hfac,
block=self.blocksize_2D,
grid=self.gridsize_2D)
self.dblGrid_kernel(d_cbm,
nx,
hfac,
block=self.blocksize_2D,
grid=self.gridsize_2D)
self.shiftGrid_kernel(d_bm,
d_nbm,
nx,
block=self.blocksize_2D,
grid=self.gridsize_2D)
self.shiftGrid_kernel(d_cbm,
d_bm,
nx,
block=self.blocksize_2D,
grid=self.gridsize_2D)
## normalize
self.wgtGrid_kernel(d_grd,
d_cnt,
self.briggs,
nx,
0,
block=self.blocksize_2D,
grid=self.gridsize_2D)
## Reflect grid about v axis
hfac = np.int32(-1)
self.dblGrid_kernel(d_grd,
nx,
hfac,
block=self.blocksize_2D,
grid=self.gridsize_2D)
## Shift both
self.shiftGrid_kernel(d_grd,
d_ngrd,
nx,
block=self.blocksize_2D,
grid=self.gridsize_2D)
fft.fft(d_ngrd, d_grd, plan)
## Shift
self.shiftGrid_kernel(d_grd,
d_ngrd,
nx,
block=self.blocksize_2D,
grid=self.gridsize_2D)
## Correct for C
self.corrGrid_kernel(d_ngrd,
d_corr,
nx,
block=self.blocksize_2D,
grid=self.gridsize_2D)
## Trim
self.trimIm_kernel(d_ngrd,
d_dim,
nx,
self.imsize,
block=self.blocksize_F2D,
grid=self.gridsize_F2D)
self.copyIm_kernel(d_ngrd,
d_fbm,
nx,
block=self.blocksize_2D,
grid=self.gridsize_2D)
## Normalize (Jy/beam)i
# self.nrmGrid_kernel(d_dim, bmax1, self.imsize, block=self.blocksize_F2D, grid=self.gridsize_F2D)
# self.nrmGrid_kernel(d_fbm, bmax2, nx, block=self.blocksize_2D, grid=self.gridsize_2D)
## Finish timers
t_end = time.time()
t_full = t_end - t_start
logger.debug("Gridding execution time %0.5f" % t_full + ' s')
logger.debug("\t%0.5f" % (t_full / gcount) + ' s per visibility')
# ----------------------
## Return dirty psf (CPU), dirty image (GPU) and sun disk
return d_dim
def normalize(array):
array = asgpuarray(array)
array -= gpuarray.min(array)
array /= gpuarray.max(array)
return array
def max(self):
t = gpuarray.max(self._dat[0:self.npart_local:, :])
return t.get()
def pinv(a_gpu, rcond=1e-15):
"""
Moore-Penrose pseudoinverse.
Compute the Moore-Penrose pseudoinverse of the specified matrix.
Parameters
----------
a_gpu : pycuda.gpuarray.GPUArray
Input matrix of shape `(m, n)`.
rcond : float
Singular values smaller than `rcond`*max(singular_values)`
are set to zero.
Returns
-------
a_inv_gpu : pycuda.gpuarray.GPUArray
Pseudoinverse of input matrix.
Notes
-----
Double precision is only supported if the standard version of the
CULA Dense toolkit is installed.
This function destroys the contents of the input matrix.
If the input matrix is square, the pseudoinverse uses less memory.
Examples
--------
>>> import pycuda.driver as drv
>>> import pycuda.gpuarray as gpuarray
>>> import pycuda.autoinit
>>> import numpy as np
>>> import linalg
>>> linalg.init()
>>> a = np.asarray(np.random.rand(8, 4), np.float32)
>>> a_gpu = gpuarray.to_gpu(a)
>>> a_inv_gpu = linalg.pinv(a_gpu)
>>> np.allclose(np.linalg.pinv(a), a_inv_gpu.get(), 1e-4)
True
>>> b = np.asarray(np.random.rand(8, 4)+1j*np.random.rand(8, 4), np.complex64)
>>> b_gpu = gpuarray.to_gpu(b)
>>> b_inv_gpu = linalg.pinv(b_gpu)
>>> np.allclose(np.linalg.pinv(b), b_inv_gpu.get(), 1e-4)
True
"""
if not _has_cula:
raise NotImplementedError('CULA not installed')
# Perform in-place SVD if the matrix is square to save memory:
if a_gpu.shape[0] == a_gpu.shape[1]:
u_gpu, s_gpu, vh_gpu = svd(a_gpu, 's', 'o')
else:
u_gpu, s_gpu, vh_gpu = svd(a_gpu, 's', 's')
# Suppress very small singular values:
cutoff_gpu = gpuarray.max(s_gpu) * rcond
ctype = tools.dtype_to_ctype(s_gpu.dtype)
cutoff_func = el.ElementwiseKernel(
"{ctype} *s, {ctype} *cutoff".format(ctype=ctype),
"if (s[i] > cutoff[0]) {s[i] = 1/s[i];} else {s[i] = 0;}")
cutoff_func(s_gpu, cutoff_gpu)
# Compute the pseudoinverse without allocating a new diagonal matrix:
return dot(vh_gpu, dot_diag(s_gpu, u_gpu, 't'), 'c', 'c')
def normalize( data ): maxVal = gpuarray.max(data).get() linearDouble(1./maxVal, np.float64(0.), data, data )
def cuda_gridvis(settings, plan):
"""
Grid the visibilities parallelized by pixel.
References:
- Chapter 10 in "Interferometry and Synthesis in Radio Astronomy"
by Thompson, Moran, & Swenson
- Daniel Brigg's PhD Thesis: http://www.aoc.nrao.edu/dissertations/dbriggs/
"""
print "Gridding the visibilities"
t_start = time.time()
# unpack parameters
vfile = settings['vfile']
briggs = settings['briggs']
imsize = settings['imsize']
cell = settings['cell']
nx = np.int32(2 * imsize)
noff = np.int32((nx - imsize) / 2)
## constants
arc2rad = np.float32(np.pi / 180 / 3600.)
du = np.float32(1. / (arc2rad * cell * nx))
## grab data
f = pyfits.open(settings['vfile'])
# determin the file type (uvfits or fitsidi)
if settings['vfile'].find('.fitsidi') != -1:
## quickly figure out what data is not flagged
freq = 3.45E11 #np.float32(f[7].header['CRVAL3']) 299792458vvvv
#good = np.where(f[0].data.data[:,0,0,0,0,0,0] != 0)
#h_u = np.float32(freq*f[0].data.par('uu')[good])
#h_v = np.float32(freq*f[0].data.par('vv')[good])
light_speed = 299792458. # Speed of light
h_u = np.ndarray(shape=(780, 1),dtype='float64')
h_v = np.ndarray(shape=(780, 1),dtype='float64')
h_re = np.ndarray(shape=(780, 1),dtype='float32')
h_im = np.ndarray(shape=(780, 1),dtype='float32')
h_u = np.float64(light_speed * f[0].data[:].UU)
h_v = np.float64(light_speed * f[0].data[:].VV)
for bl in range(0, 780):
#gcount += np.int32(np.size(h_u[bl]))
## assume data is unpolarized
#h_re = np.float32(0.5*(f[0].data.data[good,0,0,0,0,0,0]+f[0].data.data[good,0,0,0,0,1,0]))
#h_im = np.float32(0.5*(f[0].data.data[good,0,0,0,0,0,1]+f[0].data.data[good,0,0,0,0,1,1]))
h_re[bl] = np.float32(f[0].data[:].data[bl][0][0][0][0][0][0])
h_im[bl] = np.float32(f[0].data[:].data[bl][0][0][0][0][0][1])
## make GPU arrays
h_u = np.float32(h_u.ravel())
h_v = np.float32(h_v.ravel())
gcount = np.int32(np.size(h_u))
#gcount = len(gcount.ravel())
h_re = np.float32(h_re.ravel())
h_im = np.float32(h_im.ravel())
print len(h_re),len(h_im)
elif settings['vfile'].find('.uvfits') != -1:
freq = 3.45E11 #np.float32(f[0].header['CRVAL4'])
light_speed = 299792458.
good = np.where(f[0].data.data[:, 0, 0, 0, 0, 0] != 0)
h_u = np.float32(light_speed * f[0].data.par('uu')[good])
h_v = np.float32(light_speed * f[0].data.par('vv')[good])
gcount = np.int32(np.size(h_u))
## assume data is unpolarized
h_re = np.float32(f[0].data.data[good, 0, 0, 0, 0, 0])
h_im = np.float32(f[0].data.data[good, 0, 0, 0, 0, 1])
print h_u
# h_ : host, d_ : device
h_grd = np.zeros((nx, nx), dtype=np.complex64)
h_cnt = np.zeros((nx, nx), dtype=np.int32)
d_u = gpu.to_gpu(h_u)
d_v = gpu.to_gpu(h_v)
d_re = gpu.to_gpu(h_re)
d_im = gpu.to_gpu(h_im)
d_cnt = gpu.zeros((np.int(nx), np.int(nx)), np.int32)
d_grd = gpu.zeros((np.int(nx), np.int(nx)), np.complex64)
d_ngrd = gpu.zeros_like(d_grd)
d_bm = gpu.zeros_like(d_grd)
d_nbm = gpu.zeros_like(d_grd)
d_fim = gpu.zeros((np.int(imsize), np.int(imsize)), np.float32)
## define kernel parameters
blocksize2D = (8, 16, 1)
gridsize2D = (np.int(np.ceil(1. * nx / blocksize2D[0])), np.int(np.ceil(1. * nx / blocksize2D[1])))
blocksizeF2D = (16, 16, 1)
gridsizeF2D = (np.int(np.ceil(1. * imsize / blocksizeF2D[0])), np.int(np.ceil(1. * imsize / blocksizeF2D[1])))
blocksize1D = (256, 1, 1)
gridsize1D = (np.int(np.ceil(1. * gcount / blocksize1D[0])), 1)
# ------------------------
# make gridding kernels
# ------------------------
## make spheroidal convolution kernel (don't mess with these!)
width = 6.
ngcf = 24.
h_cgf = gcf(ngcf, width)
## make grid correction
h_corr = corrfun(nx, width)
d_cgf = module.get_global('cgf')[0]
d_corr = gpu.to_gpu(h_corr)
cu.memcpy_htod(d_cgf, h_cgf)
# ------------------------
# grid it up
# ------------------------
d_umax = gpu.max(cumath.fabs(d_u))
d_vmax = gpu.max(cumath.fabs(d_v))
umax = np.int32(np.ceil(d_umax.get() / du))
vmax = np.int32(np.ceil(d_vmax.get() / du))
## grid ($$)
# This should be improvable via:
# - shared memory solution? I tried...
# - better coalesced memory access? I tried...
# - reorganzing and indexing UV data beforehand?
# (i.e. http://www.nvidia.com/docs/IO/47905/ECE757_Project_Report_Gregerson.pdf)
# - storing V(u,v) in texture memory?
gridVis_wBM_kernel(d_grd, d_bm, d_cnt, d_u, d_v, d_re, d_im, nx, du, gcount, umax, vmax, \
block=blocksize2D, grid=gridsize2D)
## apply weights
wgtGrid_kernel(d_bm, d_cnt, briggs, nx, block=blocksize2D, grid=gridsize2D)
hfac = np.int32(1)
dblGrid_kernel(d_bm, nx, hfac, block=blocksize2D, grid=gridsize2D)
shiftGrid_kernel(d_bm, d_nbm, nx, block=blocksize2D, grid=gridsize2D)
## normalize
wgtGrid_kernel(d_grd, d_cnt, briggs, nx, block=blocksize2D, grid=gridsize2D)
## Reflect grid about v axis
hfac = np.int32(-1)
dblGrid_kernel(d_grd, nx, hfac, block=blocksize2D, grid=gridsize2D)
## Shift both
shiftGrid_kernel(d_grd, d_ngrd, nx, block=blocksize2D, grid=gridsize2D)
# ------------------------
# Make the beam
# ------------------------
## Transform to image plane
fft.fft(d_nbm, d_bm, plan)
## Shift
shiftGrid_kernel(d_bm, d_nbm, nx, block=blocksize2D, grid=gridsize2D)
## Correct for C
corrGrid_kernel(d_nbm, d_corr, nx, block=blocksize2D, grid=gridsize2D)
# Trim
trimIm_kernel(d_nbm, d_fim, noff, nx, imsize, block=blocksizeF2D, grid=gridsizeF2D)
## Normalize
d_bmax = gpu.max(d_fim)
bmax = d_bmax.get()
bmax = np.float32(1. / bmax)
nrmBeam_kernel(d_fim, bmax, imsize, block=blocksizeF2D, grid=gridsizeF2D)
## Pull onto CPU
dpsf = d_fim.get()
# ------------------------
# Make the map
# ------------------------
## Transform to image plane
fft.fft(d_ngrd, d_grd, plan)
## Shift
shiftGrid_kernel(d_grd, d_ngrd, nx, block=blocksize2D, grid=gridsize2D)
## Correct for C
corrGrid_kernel(d_ngrd, d_corr, nx, block=blocksize2D, grid=gridsize2D)
## Trim
trimIm_kernel(d_ngrd, d_fim, noff, nx, imsize, block=blocksizeF2D, grid=gridsizeF2D)
## Normalize (Jy/beam)
nrmGrid_kernel(d_fim, bmax, imsize, block=blocksizeF2D, grid=gridsizeF2D)
## Finish timers
t_end = time.time()
t_full = t_end - t_start
print "Gridding execution time %0.5f" % t_full + ' s'
print "\t%0.5f" % (t_full / gcount) + ' s per visibility'
## Return dirty psf (CPU) and dirty image (GPU)
return dpsf, d_fim
def pinv(a_gpu, rcond=1e-15):
"""
Moore-Penrose pseudoinverse.
Compute the Moore-Penrose pseudoinverse of the specified matrix.
Parameters
----------
a_gpu : pycuda.gpuarray.GPUArray
Input matrix of shape `(m, n)`.
rcond : float
Singular values smaller than `rcond`*max(singular_values)`
are set to zero.
Returns
-------
a_inv_gpu : pycuda.gpuarray.GPUArray
Pseudoinverse of input matrix.
Notes
-----
Double precision is only supported if the standard version of the
CULA Dense toolkit is installed.
This function destroys the contents of the input matrix.
If the input matrix is square, the pseudoinverse uses less memory.
Examples
--------
>>> import pycuda.driver as drv
>>> import pycuda.gpuarray as gpuarray
>>> import pycuda.autoinit
>>> import numpy as np
>>> import linalg
>>> linalg.init()
>>> a = np.asarray(np.random.rand(8, 4), np.float32)
>>> a_gpu = gpuarray.to_gpu(a)
>>> a_inv_gpu = linalg.pinv(a_gpu)
>>> np.allclose(np.linalg.pinv(a), a_inv_gpu.get(), 1e-4)
True
>>> b = np.asarray(np.random.rand(8, 4)+1j*np.random.rand(8, 4), np.complex64)
>>> b_gpu = gpuarray.to_gpu(b)
>>> b_inv_gpu = linalg.pinv(b_gpu)
>>> np.allclose(np.linalg.pinv(b), b_inv_gpu.get(), 1e-4)
True
"""
if not _has_cula:
raise NotImplementedError('CULA not installed')
# Perform in-place SVD if the matrix is square to save memory:
if a_gpu.shape[0] == a_gpu.shape[1]:
u_gpu, s_gpu, vh_gpu = svd(a_gpu, 's', 'o')
else:
u_gpu, s_gpu, vh_gpu = svd(a_gpu, 's', 's')
# Get block/grid sizes; the number of threads per block is limited
# to 512 because the cutoff_invert_s kernel defined above uses too
# many registers to be invoked in 1024 threads per block (i.e., on
# GPUs with compute capability >= 2.x):
dev = misc.get_current_device()
max_threads_per_block = 512
block_dim, grid_dim = misc.select_block_grid_sizes(dev, s_gpu.shape,
max_threads_per_block)
# Suppress very small singular values:
use_double = 1 if s_gpu.dtype == np.float64 else 0
cutoff_invert_s_mod = \
SourceModule(cutoff_invert_s_template.substitute(use_double=use_double))
cutoff_invert_s = \
cutoff_invert_s_mod.get_function('cutoff_invert_s')
cutoff_gpu = gpuarray.max(s_gpu) * rcond
cutoff_invert_s(s_gpu,
cutoff_gpu,
np.uint32(s_gpu.size),
block=block_dim,
grid=grid_dim)
# Compute the pseudoinverse without allocating a new diagonal matrix:
return dot(vh_gpu, dot_diag(s_gpu, u_gpu, 't'), 'c', 'c')
def calculateTimestep(PropSpeedsGPU, cellDim):
maxPropSpeed = gpuarray.max(cumath.fabs(PropSpeedsGPU)).get()
return cellDim / (4.0 * maxPropSpeed), maxPropSpeed
def max(self):
return gpuarray.max(self.arr).get().max()