def ctc_update_log_p(skip_idxs, zeros, active, log_p_curr, log_p_prev):
active_skip_idxs = skip_idxs[(skip_idxs < active).nonzero()]
active_next = T.cast(T.minimum(
T.maximum(
active + 1,
T.max(T.concatenate([active_skip_idxs, [-1]])) + 2 + 1
), log_p_curr.shape[0]), 'int32')
common_factor = T.max(log_p_prev[:active])
p_prev = T.exp(log_p_prev[:active] - common_factor)
_p_prev = zeros[:active_next]
# copy over
_p_prev = T.set_subtensor(_p_prev[:active], p_prev)
# previous transitions
_p_prev = T.inc_subtensor(_p_prev[1:], _p_prev[:-1])
# skip transitions
_p_prev = T.inc_subtensor(_p_prev[active_skip_idxs + 2], p_prev[active_skip_idxs])
updated_log_p_prev = T.log(_p_prev) + common_factor
log_p_next = T.set_subtensor(
zeros[:active_next],
log_p_curr[:active_next] + updated_log_p_prev
)
return active_next, log_p_next
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