def simulate_step(bodies, dt_min, G, epsilon, dt_output, alpha):
current_t = 0
current_step = 0
n_bodies = bodies.r.shape[0]
delta_v = np.zeros_like(bodies.v)
for i in range(n_bodies):
coord_diff = bodies.r - bodies.r[i, :]
r_ik3 = (gpu.sum(coord_diff**2, axis=1) + epsilon**2)**1.5 #+ 1e-16
delta_v[i,:] = G*gpu.sum(bodies.m[:, np.newaxis] * coord_diff / r_ik3[:, np.newaxis], axis=0)
dt = max(calculate_dt(bodies.v, delta_v, n_bodies, alpha), dt_min)
bodies.v += 0.5 * dt * delta_v
while True:
bodies.r += dt * bodies.v
for i in range(n_bodies):
coord_diff = bodies.r - bodies.r[i, :]
r_ik3 = (gpu.sum(coord_diff**2, axis=1) + epsilon**2)**1.5 #+ 1e-16
delta_v[i,:] = G*gpu.sum(bodies.m[:, np.newaxis] * coord_diff / r_ik3[:, np.newaxis], axis=0)
dt = max(calculate_dt(bodies.v, delta_v, n_bodies, alpha), dt_min)
bodies.v += dt * delta_v
if current_step * dt_output <= current_t:
current_step += 1
yield current_t
gpu.status()
current_t += dt
def simulate_step(bodies, dt_min, epsilon, dt_output, alpha):
current_t = 0
current_step = 0
n_bodies = bodies.r.shape[0]
delta_v = np.zeros_like(bodies.v)
for i in range(n_bodies):
coord_diff = bodies.r - bodies.r[i, :]
r_ik3 = (gpu.sum(coord_diff**2, axis=1) + epsilon**2)**1.5 #+ 1e-16
delta_v[i, :] = gpu.sum(bodies.m[:, np.newaxis] * coord_diff /
r_ik3[:, np.newaxis],
axis=0)
dt = max(calculate_dt(bodies.v, delta_v, n_bodies, alpha), dt_min)
bodies.v += 0.5 * dt * delta_v
while True:
bodies.r += dt * bodies.v
for i in range(n_bodies):
coord_diff = bodies.r - bodies.r[i, :]
r_ik3 = (gpu.sum(coord_diff**2, axis=1) +
epsilon**2)**1.5 #+ 1e-16
delta_v[i, :] = gpu.sum(bodies.m[:, np.newaxis] * coord_diff /
r_ik3[:, np.newaxis],
axis=0)
dt = max(calculate_dt(bodies.v, delta_v, n_bodies, alpha), dt_min)
bodies.v += dt * delta_v
if current_step * dt_output <= current_t:
current_step += 1
yield current_t
gpu.status()
current_t += dt
def JointBayesian_Train(trainingset, label, fold="./"):
if fold[-1] != '/':
fold += '/'
print trainingset.shape
print trainingset[0]
# the total num of image
n_image = len(label)
# the dim of features
n_dim = trainingset.shape[1]
# filter the complicate label,for count the total people num
classes, labels = np.unique(label, return_inverse=True)
# the total people num
n_class = len(classes)
# print classes
# print labels
# save each people items
cur = {}
withinCount = 0
# record the count of each people
numberBuff = np.zeros(n_image, np.float32)
maxNumberInOneClass = 0
for i in range(n_class):
# get the item of i
cur[i] = trainingset[labels == i] # 00x
# cur_gpu = shared(cur[i])
# get the number of the same label persons
n_same_label = cur[i].shape[0]
if n_same_label > 1:
withinCount += n_same_label
if numberBuff[n_same_label] == 0:
numberBuff[n_same_label] = 1
maxNumberInOneClass = max(maxNumberInOneClass, n_same_label)
utils.print_info("prepare done, maxNumberInOneClass=" +
str(maxNumberInOneClass))
u = np.zeros([n_dim, n_class], np.float32)
u_gpu = gpu.garray(u)
ep = np.zeros([n_dim, withinCount], np.float32)
ep_gpu = gpu.garray(ep)
nowp = 0
for i in range(n_class):
# the mean of cur[i]
cur_gpu = gpu.garray(cur[i])
u_gpu[:, i] = gpu.mean(cur_gpu, 0)
b = u_gpu[:, i].reshape(n_dim, 1)
n_same_label = cur[i].shape[0]
if n_same_label > 1:
ep_gpu[:, nowp:nowp + n_same_label] = cur_gpu.T - b
nowp += n_same_label
utils.print_info("stage1 done")
Su = cov(u_gpu)
gpu.status()
Sw = cov(ep_gpu)
oldSw = Sw
SuFG = {}
SwG = {}
convergence = 1
min_convergence = 1
for l in range(500):
F = np.linalg.pinv(Sw.as_numpy_array())
F_gpu = gpu.garray(F)
u = np.zeros([n_dim, n_class], np.float32)
u_gpu = gpu.garray(u)
ep = np.zeros([n_dim, n_image], np.float32)
ep_gpu = gpu.garray(ep)
nowp = 0
for mi in range(maxNumberInOneClass + 1):
if numberBuff[mi] == 1:
# G = −(mS μ + S ε )−1*Su*Sw−1
temp = np.linalg.pinv(mi * Su.as_numpy_array() +
Sw.as_numpy_array())
temp2 = gpu.dot(gpu.garray(temp), Su)
G = -gpu.dot(temp2, F_gpu)
# Su*(F+mi*G) for u
SuFG[mi] = gpu.dot(Su, (F_gpu + mi * G))
# Sw*G for e
SwG[mi] = gpu.dot(Sw, G)
utils.print_info('stage2 done')
# print SuFG
for i in range(n_class):
# print l, i
nn_class = cur[i].shape[0]
# print nn_class
cur_gpu = gpu.garray(cur[i])
# formula 7 in suppl_760
temp = gpu.dot(SuFG[nn_class], cur_gpu.T)
u_gpu[:, i] = gpu.sum(temp, 1)
# formula 8 in suppl_760
ep_gpu[:, nowp:nowp + nn_class] = cur_gpu.T + \
gpu.sum(gpu.dot(SwG[nn_class], cur_gpu.T), 1).reshape(n_dim, 1)
nowp = nowp + nn_class
print 'stage2 done'
Su = cov(u_gpu)
Sw = cov(ep_gpu)
convergence = np.linalg.norm(
(Sw - oldSw).as_numpy_array()) / np.linalg.norm(
Sw.as_numpy_array())
utils.print_info("Iterations-" + str(l) + ": " + str(convergence))
if convergence < 1e-6:
print "Convergence: ", l, convergence
break
oldSw = Sw
if convergence < min_convergence:
min_convergence = convergence
F = np.linalg.pinv(Sw.as_numpy_array())
F_gpu = gpu.garray(F)
G = -gpu.dot(
gpu.dot(np.linalg.pinv((2 * Su + Sw).as_numpy_array()),
Su.as_numpy_array()), F_gpu)
A = np.linalg.pinv((Su + Sw).as_numpy_array()) - \
(F + G.as_numpy_array())
utils.data_to_pkl(G, fold + "G.pkl")
utils.data_to_pkl(A, fold + "A.pkl")
F = np.linalg.pinv(Sw.as_numpy_array())
F_gpu = gpu.garray(F)
temp = gpu.garray(np.linalg.pinv((2 * Su + Sw).as_numpy_array()))
G = -gpu.dot(gpu.dot(temp, Su), F_gpu).as_numpy_array()
A = np.linalg.pinv((Su + Sw).as_numpy_array()) - (F + G)
utils.data_to_pkl(G, fold + "G_con.pkl")
utils.data_to_pkl(A, fold + "A_con.pkl")
return A, G
"""Test to check if Python can compute on GPU""" import numpy as np import gnumpy as gpu import time n = 4096 A = np.random.uniform(0, 1, (n, n)) B = np.random.uniform(0, 1, (n, n)) gA = gpu.garray(A) gB = gpu.garray(B) gpu_time_0 = time.time() gA_dot_gB = gpu.dot(gA, gB) gpu_time_1 = time.time() print 'gnumpy took: ', gpu_time_1 - gpu_time_0, 's' cpu_time_0 = time.time() A_dot_B = np.dot(A, B) cpu_time_1 = time.time() print 'numpy took: ', cpu_time_1 - cpu_time_0, 's' gpu.status()
