def __init__(self, args, infer=False):

self.args = args

if infer:

args.batch_size = 1

args.seq_length = 1

if args.model == 'rnn':

cell_fn = rnn_cell.BasicRNNCell

elif args.model == 'gru':

cell_fn = rnn_cell.GRUCell

elif args.model == 'lstm':

cell_fn = rnn_cell.BasicLSTMCell

else:

raise Exception("model type not supported: {}".format(args.model))

cell = cell_fn(args.rnn_size)

cell = rnn_cell.MultiRNNCell([cell] * args.num_layers)

if (infer == False and args.keep_prob < 1): # training mode

cell = rnn_cell.DropoutWrapper(cell, output_keep_prob = args.keep_prob)

self.cell = cell

self.input_data = tf.placeholder(dtype=tf.float32, shape=[None, args.seq_length, 3])

self.target_data = tf.placeholder(dtype=tf.float32, shape=[None, args.seq_length, 3])

self.initial_state = cell.zero_state(batch_size=args.batch_size, dtype=tf.float32)

self.num_mixture = args.num_mixture

NOUT = 1 + self.num_mixture * 6 # end_of_stroke + prob + 2*(mu + sig) + corr

with tf.variable_scope('rnnlm'):

output_w = tf.get_variable("output_w", [args.rnn_size, NOUT])

output_b = tf.get_variable("output_b", [NOUT])

inputs = tf.split(1, args.seq_length, self.input_data)

inputs = [tf.squeeze(input_, [1]) for input_ in inputs]

outputs, last_state = seq2seq.rnn_decoder(inputs, self.initial_state, cell, loop_function=None, scope='rnnlm')

output = tf.reshape(tf.concat(1, outputs), [-1, args.rnn_size])

output = tf.nn.xw_plus_b(output, output_w, output_b)

self.final_state = last_state

# reshape target data so that it is compatible with prediction shape

flat_target_data = tf.reshape(self.target_data,[-1, 3])

[x1_data, x2_data, eos_data] = tf.split(1, 3, flat_target_data)

# long method:

#flat_target_data = tf.split(1, args.seq_length, self.target_data)

#flat_target_data = [tf.squeeze(flat_target_data_, [1]) for flat_target_data_ in flat_target_data]

#flat_target_data = tf.reshape(tf.concat(1, flat_target_data), [-1, 3])

def tf_2d_normal(x1, x2, mu1, mu2, s1, s2, rho):

# eq # 24 and 25 of http://arxiv.org/abs/1308.0850

norm1 = tf.sub(x1, mu1)

norm2 = tf.sub(x2, mu2)

s1s2 = tf.mul(s1, s2)

z = tf.square(tf.div(norm1, s1))+tf.square(tf.div(norm2, s2))-2*tf.div(tf.mul(rho, tf.mul(norm1, norm2)), s1s2)

negRho = 1-tf.square(rho)

result = tf.exp(tf.div(-z,2*negRho))

denom = 2*np.pi*tf.mul(s1s2, tf.sqrt(negRho))

result = tf.div(result, denom)

return result

def get_lossfunc(z_pi, z_mu1, z_mu2, z_sigma1, z_sigma2, z_corr, z_eos, x1_data, x2_data, eos_data):

result0 = tf_2d_normal(x1_data, x2_data, z_mu1, z_mu2, z_sigma1, z_sigma2, z_corr)

# implementing eq # 26 of http://arxiv.org/abs/1308.0850

epsilon = 1e-20

result1 = tf.mul(result0, z_pi)

result1 = tf.reduce_sum(result1, 1, keep_dims=True)

result1 = -tf.log(tf.maximum(result1, 1e-20)) # at the beginning, some errors are exactly zero.

result2 = tf.mul(z_eos, eos_data) + tf.mul(1-z_eos, 1-eos_data)

result2 = -tf.log(result2)

result = result1 + result2

return tf.reduce_sum(result)

# below is where we need to do MDN splitting of distribution params

def get_mixture_coef(output):

# returns the tf slices containing mdn dist params

# ie, eq 18 -> 23 of http://arxiv.org/abs/1308.0850

z = output

z_eos = z[:, 0:1]

z_pi, z_mu1, z_mu2, z_sigma1, z_sigma2, z_corr = tf.split(1, 6, z[:, 1:])

# process output z's into MDN paramters

# end of stroke signal

z_eos = tf.sigmoid(z_eos) # should be negated, but doesn't matter.

# softmax all the pi's:

max_pi = tf.reduce_max(z_pi, 1, keep_dims=True)

z_pi = tf.sub(z_pi, max_pi)

z_pi = tf.exp(z_pi)

normalize_pi = tf.inv(tf.reduce_sum(z_pi, 1, keep_dims=True))

z_pi = tf.mul(normalize_pi, z_pi)

# exponentiate the sigmas and also make corr between -1 and 1.

z_sigma1 = tf.exp(z_sigma1)

z_sigma2 = tf.exp(z_sigma2)

z_corr = tf.tanh(z_corr)

return [z_pi, z_mu1, z_mu2, z_sigma1, z_sigma2, z_corr, z_eos]

[o_pi, o_mu1, o_mu2, o_sigma1, o_sigma2, o_corr, o_eos] = get_mixture_coef(output)

self.pi = o_pi

self.mu1 = o_mu1

self.mu2 = o_mu2

self.sigma1 = o_sigma1

self.sigma2 = o_sigma2

self.corr = o_corr

self.eos = o_eos

lossfunc = get_lossfunc(o_pi, o_mu1, o_mu2, o_sigma1, o_sigma2, o_corr, o_eos, x1_data, x2_data, eos_data)

self.cost = lossfunc / (args.batch_size * args.seq_length)

self.lr = tf.Variable(0.0, trainable=False)

tvars = tf.trainable_variables()

grads, _ = tf.clip_by_global_norm(tf.gradients(self.cost, tvars), args.grad_clip)

optimizer = tf.train.AdamOptimizer(self.lr)

self.train_op = optimizer.apply_gradients(zip(grads, tvars))

def sample(self, sess, num=1200):

def get_pi_idx(x, pdf):

N = pdf.size

accumulate = 0

for i in range(0, N):

accumulate += pdf[i]

if (accumulate >= x):

return i

print 'error with sampling ensemble'

return -1

def sample_gaussian_2d(mu1, mu2, s1, s2, rho):

mean = [mu1, mu2]

cov = [[s1*s1, rho*s1*s2], [rho*s1*s2, s2*s2]]

x = np.random.multivariate_normal(mean, cov, 1)

return x[0][0], x[0][1]

prev_x = np.zeros((1, 1, 3), dtype=np.float32)

prev_x[0, 0, 2] = 1 # initially, we want to see beginning of new stroke

prev_state = sess.run(self.cell.zero_state(1, tf.float32))

strokes = np.zeros((num, 3), dtype=np.float32)

mixture_params = []

for i in xrange(num):

feed = {self.input_data: prev_x, self.initial_state:prev_state}

[o_pi, o_mu1, o_mu2, o_sigma1, o_sigma2, o_corr, o_eos, next_state] = sess.run([self.pi, self.mu1, self.mu2, self.sigma1, self.sigma2, self.corr, self.eos, self.final_state],feed)

idx = get_pi_idx(random.random(), o_pi[0])

eos = 1 if random.random() < o_eos[0][0] else 0

next_x1, next_x2 = sample_gaussian_2d(o_mu1[0][idx], o_mu2[0][idx], o_sigma1[0][idx], o_sigma2[0][idx], o_corr[0][idx])

strokes[i,:] = [next_x1, next_x2, eos]

params = [o_pi[0], o_mu1[0], o_mu2[0], o_sigma1[0], o_sigma2[0], o_corr[0], o_eos[0]]

mixture_params.append(params)

prev_x = np.zeros((1, 1, 3), dtype=np.float32)

prev_x[0][0] = np.array([next_x1, next_x2, eos], dtype=np.float32)

prev_state = next_state

strokes[:,0:2] *= self.args.data_scale