/usr/lib/python2.7/dist-packages/brian/neurongroup.py is in python-brian 1.4.3-1.
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# Copyright ENS, INRIA, CNRS
# Contributors: Romain Brette (brette@di.ens.fr) and Dan Goodman (goodman@di.ens.fr)
#
# Brian is a computer program whose purpose is to simulate models
# of biological neural networks.
#
# This software is governed by the CeCILL license under French law and
# abiding by the rules of distribution of free software. You can use,
# modify and/ or redistribute the software under the terms of the CeCILL
# license as circulated by CEA, CNRS and INRIA at the following URL
# "http://www.cecill.info".
#
# As a counterpart to the access to the source code and rights to copy,
# modify and redistribute granted by the license, users are provided only
# with a limited warranty and the software's author, the holder of the
# economic rights, and the successive licensors have only limited
# liability.
#
# In this respect, the user's attention is drawn to the risks associated
# with loading, using, modifying and/or developing or reproducing the
# software by the user in light of its specific status of free software,
# that may mean that it is complicated to manipulate, and that also
# therefore means that it is reserved for developers and experienced
# professionals having in-depth computer knowledge. Users are therefore
# encouraged to load and test the software's suitability as regards their
# requirements in conditions enabling the security of their systems and/or
# data to be ensured and, more generally, to use and operate it in the
# same conditions as regards security.
#
# The fact that you are presently reading this means that you have had
# knowledge of the CeCILL license and that you accept its terms.
# ----------------------------------------------------------------------------------
#
from brian.stateupdater import LazyStateUpdater
'''
Neuron groups
'''
__all__ = ['NeuronGroup', 'linked_var']
from numpy import *
try:
import weave
except ImportError:
from scipy import weave
from scipy import rand, linalg, random
from numpy.random import exponential, randint
import copy
from units import *
from threshold import *
import bisect
from reset import *
from clock import *
from stateupdater import *
from inspection import *
from operator import isSequenceType
import types
from utils.circular import *
import magic
from itertools import count
from equations import *
from globalprefs import *
import sys
from brian_unit_prefs import bup
import numpy
from base import *
from group import *
from threshold import select_threshold
from collections import defaultdict
from log import log_info
timedarray = None # ugly hack: import this module when it is needed, can't do it here because of order of imports
network = None # ugly hack: import this module when it is needed, can't do it here because of order of imports
class TArray(numpy.ndarray):
'''
This internal class is just used for when Brian sends an array t
to an object. All the elements will be the same in this case, and
you can check for isinstance(arr, TArray) to do optimisations based
on this. This behaviour may change in the future.
'''
def __new__(subtype, arr):
# All numpy.ndarray subclasses need something like this, see
# http://www.scipy.org/Subclasses
return numpy.array(arr, copy=False).view(subtype)
class LinkedVar(object):
def __init__(self, source, var=0, func=None, when='start', clock=None):
self.source = source
self.var = var
self.func = func
self.when = when
self.clock = clock
def linked_var(source, var=0, func=None, when='start', clock=None):
"""
Used for linking one :class:`NeuronGroup` variable to another.
Sample usage::
G = NeuronGroup(...)
H = NeuronGroup(...)
G.V = linked_var(H, 'W')
In this scenario, the variable V in group G will always be updated with
the values from variable W in group H. The groups G and H must be the
same size (although subgroups can be used if they are not the same size).
Arguments:
``source``
The group from which values will be taken.
``var``
The state variable of the source group to take values from.
``func``
An additional function of one argument to pass the source variable
values through, e.g. ``func=lambda x:clip(x,0,Inf)`` to half rectify the
values.
``when``
The time in the main Brian loop at which the copy operation is performed,
as explained in :class:`Network`.
``clock``
The update clock for the copy operation, by default it will use the clock
of the target group.
"""
return LinkedVar(source, var, func, when, clock)
class NeuronGroup(magic.InstanceTracker, ObjectContainer, Group):
"""Group of neurons
Initialised with arguments:
``N``
The number of neurons in the group.
``model``
An object defining the neuron model. It can be
an :class:`Equations` object, a string defining an :class:`Equations` object,
a :class:`StateUpdater` object, or a list or tuple of :class:`Equations` and
strings.
``threshold=None``
A :class:`Threshold` object, a function, a scalar quantity or a string.
If ``threshold`` is a function with one argument, it will be
converted to a :class:`SimpleFunThreshold`, otherwise it will be a
:class:`FunThreshold`. If ``threshold`` is a scalar, then a constant
single valued threshold with that value will be used. In this case,
the variable to apply the threshold to will be guessed. If there is
only one variable, or if you have a variable named one of
``V``, ``Vm``, ``v`` or ``vm`` it will be used. If ``threshold`` is a
string then the appropriate threshold type will be chosen, for example
you could do ``threshold='V>10*mV'``. The string must be a one line
string.
``reset=None``
A :class:`Reset` object, a function, a scalar quantity or a string. If it's a
function, it will be converted to a :class:`FunReset` object. If it's
a scalar, then a constant single valued reset with that value will
be used. In this case,
the variable to apply the reset to will be guessed. If there is
only one variable, or if you have a variable named one of
``V``, ``Vm``, ``v`` or ``vm`` it will be used. If ``reset`` is a
string it should be a series of expressions which are evaluated for
each neuron that is resetting. The series of expressions can be
multiline or separated by a semicolon. For example,
``reset=`Vt+=5*mV; V=Vt'``. Statements involving ``if`` constructions
will often not work because the code is automatically vectorised.
For such constructions, use a function instead of a string.
``refractory=0*ms``, ``min_refractory``, ``max_refractory``
A refractory period, used in combination with the ``reset`` value
if it is a scalar. For constant resets only, you can specify refractory
as an array of length the number of elements in the group, or as a
string, giving the name of a state variable in the group. In the case
of these variable refractory periods, you should specify
``min_refractory`` (optional) and ``max_refractory`` (required).
``level=0``
See :class:`Equations` for details.
``clock``
A clock to use for scheduling this :class:`NeuronGroup`, if omitted the
default clock will be used.
``order=1``
The order to use for nonlinear differential equation solvers.
TODO: more details.
``implicit=False``
Whether to use an implicit method for solving the differential
equations. TODO: more details.
``max_delay=0*ms``
The maximum allowable delay (larger values use more memory).
This doesn't usually need to be specified because Connections will update it.
``compile=False``
Whether or not to attempt to compile the differential equation
solvers (into Python code). Typically, for best performance, both ``compile``
and ``freeze`` should be set to ``True`` for nonlinear differential equations.
``freeze=False``
If True, parameters are replaced by their values at the time
of initialization.
``method=None``
If not None, the integration method is forced. Possible values are
linear, nonlinear, Euler, exponential_Euler (overrides implicit and order
keywords).
``unit_checking=True``
Set to ``False`` to bypass unit-checking.
**Methods**
.. method:: subgroup(N)
Returns the next sequential subgroup of ``N`` neurons. See
the section on subgroups below.
.. method:: state(var)
Returns the array of values for state
variable ``var``, with length the number of neurons in the
group.
.. method:: rest()
Sets the neuron state values at rest for their differential
equations.
The following usages are also possible for a group ``G``:
``G[i:j]``
Returns the subgroup of neurons from ``i`` to ``j``.
``len(G)``
Returns the number of neurons in ``G``.
``G.x``
For any valid Python variable name ``x`` corresponding to
a state variable of the the :class:`NeuronGroup`, this
returns the array of values for the state
variable ``x``, as for the :meth:`state` method
above. Writing ``G.x = arr`` for ``arr`` a :class:`TimedArray`
will set the values of variable x to be ``arr(t)`` at time t.
See :class:`TimedArraySetter` for details.
**Subgroups**
A subgroup is a view on a group. It isn't a new group, it's just
a convenient way of referring to a subset of the neurons in an
already defined group. The subset has to be a continguous set of
neurons. They can be overlapping if defined with the slice
notation, or consecutive if defined with the :meth:`subgroup` method.
Subgroups can themselves be subgrouped. Subgroups can be used in
almost all situations exactly as if they were groups, except that
they cannot be passed to the :class:`Network` object.
**Details**
TODO: details of other methods and properties for people
wanting to write extensions?
"""
@check_units(max_delay=second)
def __init__(self, N, model=None, threshold=None, reset=NoReset(),
init=None, refractory=0 * msecond, level=0,
clock=None, order=1, implicit=False, unit_checking=True,
max_delay=0 * msecond, compile=False, freeze=False, method=None,
max_refractory=None,
):#**args): # any reason why **args was included here?
'''
Initializes the group.
'''
self._useweave = get_global_preference('useweave')
if self._useweave:
self._cpp_compiler = get_global_preference('weavecompiler')
self._extra_compile_args = ['-O3']
if self._cpp_compiler == 'gcc':
self._extra_compile_args += get_global_preference('gcc_options')
self._spiking = True # by default, produces spikes
if bup.use_units: # one additional frame level induced by the decorator
level += 1
# If it is a string, convert to Equations object
if isinstance(model, (str, list, tuple)):
model = Equations(model, level=level + 1)
if isinstance(threshold, str):
if isinstance(model, Equations):
threshold = select_threshold(threshold, model, level=level + 1)
else:
threshold = StringThreshold(threshold, level=level + 1)
if isinstance(reset, str):
if isinstance(model, Equations):
reset = select_reset(reset, model, level=level + 1)
else:
reset = StringReset(reset, level=level + 1)
# Clock
clock = guess_clock(clock)#not needed with protocol checking
self.clock = clock
# Initial state
self._S0 = init
self.staticvars = []
# StateUpdater
if isinstance(model, StateUpdater):
self._state_updater = model # Update mechanism
self._all_units = defaultdict()
elif isinstance(model, Equations):
if len(model) == 0:
self._eqs = model
self._state_updater = LazyStateUpdater(0)
self._all_units = defaultdict()
else:
self._eqs = model
if (init == None) and (model._units == {}):
raise AttributeError, "The group must be initialized."
self._state_updater, var_names = magic_state_updater(model, clock=clock, order=order,
check_units=unit_checking, implicit=implicit,
compile=compile, freeze=freeze,
method=method)
Group.__init__(self, model, N, unit_checking=unit_checking)
self._all_units = model._units
# Converts S0 from dictionary to tuple
if self._S0 == None: # No initialization: 0 with units
S0 = {}
else:
S0 = self._S0.copy()
# Fill missing units
for key, value in model._units.iteritems():
if not key in S0:
S0[key] = 0 * value
self._S0 = [0] * len(var_names)
for var, i in zip(var_names, count()):
self._S0[i] = S0[var]
else:
raise TypeError, "StateUpdater must be specified at initialization."
# TODO: remove temporary unit hack, this makes all state variables dimensionless if no units are specified
# What is this??
if self._S0 is None:
self._S0 = dict((i, 1.) for i in range(len(self._state_updater)))
# Threshold
if isinstance(threshold, Threshold):
self._threshold = threshold
elif type(threshold) == types.FunctionType:
if threshold.func_code.co_argcount == 1:
self._threshold = SimpleFunThreshold(threshold)
else:
self._threshold = FunThreshold(threshold)
elif is_scalar_type(threshold):
# Check unit
if self._S0 != None:
try:
threshold + self._S0[0]
except DimensionMismatchError, inst:
raise DimensionMismatchError("The threshold does not have correct units.", *inst._dims)
self._threshold = Threshold(threshold=threshold)
else: # maybe raise an error?
self._threshold = NoThreshold()
self._spiking = False
# Initialization of the state matrix
if not hasattr(self, '_S'):
self._S = zeros((len(self._state_updater), N))
if self._S0 != None:
for i in range(len(self._state_updater)):
self._S[i, :] = self._S0[i]
# Reset and refractory period
self._variable_refractory_time = False
period_max = 0
if is_scalar_type(reset) or reset.__class__ is Reset:
if reset.__class__ is Reset:
if isinstance(reset.state, str):
numstate = self.get_var_index(reset.state)
else:
numstate = reset.state
reset = reset.resetvalue
else:
numstate = 0
# Check unit
if self._S0 != None:
try:
reset + self._S0[numstate]
except DimensionMismatchError, inst:
raise DimensionMismatchError("The reset does not have correct units.", *inst._dims)
if isinstance(refractory, float):
max_refractory = refractory
else:
if isinstance(refractory, str):
if max_refractory is None:
raise ValueError('Must specify max_refractory if using variable refractoriness.')
self._refractory_variable = refractory
self._refractory_array = None
else:
max_refractory = amax(refractory) * second
self._refractory_variable = None
self._refractory_array = refractory
self._variable_refractory_time = True
# What is this 0.9 ?!! Answer: it's just to check that the refractory period is at least clock.dt otherwise don't bother
if max_refractory > 0.9 * clock.dt: # Refractory period - unit checking is done here
self._resetfun = Refractoriness(period=max_refractory, resetvalue=reset, state=numstate)
period_max = int(max_refractory / clock.dt) + 1
else: # Simple reset
self._resetfun = Reset(reset, state=numstate)
elif type(reset) == types.FunctionType:
self._resetfun = FunReset(reset)
if refractory > 0.9 * clock.dt:
raise ValueError('Refractoriness for custom reset functions not yet implemented, see http://groups.google.fr/group/briansupport/browse_thread/thread/182aaf1af3499a63?hl=en for some options.')
elif hasattr(reset, 'period'): # A reset with refractoriness
# TODO: check unit (in Reset())
self._resetfun = reset # reset function
period_max = int(reset.period / clock.dt) + 1
else: # No reset?
self._resetfun = reset
if hasattr(threshold, 'refractory'): # A threshold with refractoriness
period_max = max(period_max, threshold.refractory + 1)
if max_refractory is None:
max_refractory = refractory
if max_delay < period_max * clock.dt:
max_delay = period_max * clock.dt
self._max_delay = 0
self.set_max_delay(max_delay)
self._next_allowed_spiketime = -ones(N)
self._refractory_time = float(max_refractory) - 0.5 * clock._dt
if not self._variable_refractory_time and max_refractory < 0.9 * clock.dt:
self._use_next_allowed_spiketime_refractoriness = False
else:
self._use_next_allowed_spiketime_refractoriness = True
self._owner = self # owner (for subgroups)
self._subgroup_set = magic.WeakSet()
self._origin = 0 # start index from owner if subgroup
self._next_subgroup = 0 # start index of next subgroup
# ensure that var_index has all the 0,...,N-1 integers as names
if not hasattr(self, 'var_index'):
self.var_index = {}
for i in range(self.num_states()):
self.var_index[i] = i
# these are here for the weave accelerated version of the threshold
# call mechanism.
self._spikesarray = zeros(N, dtype=int)
# various things for optimising
self.__t = TArray(zeros(N))
self._var_array = {}
for i in range(self.num_states()):
self._var_array[i] = self._S[i]
for kk, i in self.var_index.iteritems():
sv = self.state_(i)
if sv.base is self._S:
self._var_array[kk] = sv
# todo: should we have a guarantee that var_index exists (even if it just
# consists of mappings i->i)?
def set_max_delay(self, max_delay):
if hasattr(self, '_owner') and self._owner is not self:
self._owner.set_max_delay(max_delay)
return
_max_delay = int(max_delay / self.clock.dt) + 2 # in time bins
if _max_delay > self._max_delay:
self._max_delay = _max_delay
self.LS = SpikeContainer(self._max_delay,
useweave=get_global_preference('useweave'),
compiler=get_global_preference('weavecompiler')) # Spike storage
# update all subgroups if any exist
if hasattr(self, '_subgroup_set'): # the first time set_max_delay is called this is false
for G in self._owner._subgroup_set.get():
G._max_delay = self._max_delay
G.LS = self.LS
def rest(self):
'''
Sets the variables at rest.
'''
self._state_updater.rest(self)
def reinit(self, states=True):
'''
Resets the variables.
'''
if self._owner is self:
if states:
if self._S0 is not None and self._state_updater is not None:
for i in range(len(self._state_updater)):
self._S[i, :] = self._S0[i]
else:
self._S[:] = 0 # State matrix
self._next_allowed_spiketime[:] = -1
self.LS.reinit()
def update(self):
'''
Updates the state variables.
'''
self._state_updater(self) # update the variables
if self._spiking:
spikes = self._threshold(self) # get spikes
if not isinstance(spikes, numpy.ndarray):
spikes = array(spikes, dtype=int)
if not spikes.flags.contiguous:
spikes = array(spikes)
if self._use_next_allowed_spiketime_refractoriness:
spikes = spikes[self._next_allowed_spiketime[spikes] <= self.clock._t]
if self._variable_refractory_time:
if self._refractory_variable is not None:
refractime = self.state_(self._refractory_variable)
else:
refractime = self._refractory_array
self._next_allowed_spiketime[spikes] = self.clock._t + refractime[spikes]
else:
self._next_allowed_spiketime[spikes] = self.clock._t + self._refractory_time
self.LS.push(spikes) # Store spikes
def get_refractory_indices(self):
return (self._next_allowed_spiketime > self.clock._t).nonzero()[0]
def get_spikes(self, delay=0):
'''
Returns indexes of neurons that spiked at time t-delay*dt.
'''
if self._owner == self:
# Group
# if delay==0:
# return self.LS.lastspikes()
#return self.LS[delay] # last spikes
return self.LS.get_spikes(delay, 0, len(self))
else:
# Subgroup
return self.LS.get_spikes(delay, self._origin, len(self))
# if delay==0:
# ls = self.LS.lastspikes()
# else:
# ls = self.LS[delay]
#ls = self.LS[delay]
# spikes = ls-self._origin
# return spikes[bisect.bisect_left(spikes,0):\
# bisect.bisect_left(spikes,len(self))]
# return ls[bisect.bisect_left(ls,self._origin):\
# bisect.bisect_left(ls,len(self)+self._origin)]-self._origin
def reset(self):
'''
Resets the neurons.
'''
self._resetfun(self)
def subgroup(self, N):
if self._next_subgroup + N > len(self):
raise IndexError, "Subgroup is too large."
P = self[self._next_subgroup:self._next_subgroup + N]
self._next_subgroup += N;
return P
def unit(self, name):
'''
Returns the unit of variable name
'''
if name in self._all_units:
return self._all_units[name]
elif name in self.staticvars:
f = self.staticvars[name]
print f.func_code.co_varnames
print [(var, self.unit(var)) for var in f.func_code.co_varnames]
return get_unit(f(*[1. * self.unit(var) for var in f.func_code.co_varnames]))
elif name == 't': # time
return second
else:
return get_unit(self._S0[self.get_var_index(name)])
def state_(self, name):
if name == 't':
self.__t[:] = self.clock._t
return self.__t
else:
return Group.state_(self, name)
state = state_
def __getitem__(self, i):
if i == -1:
return self[self._S.shape[1] - 1:]
else:
return self[i:i + 1]
def __getslice__(self, i, j):
'''
Creates subgroup (view).
TODO: views for all arrays.
'''
Q = copy.copy(self)
Q._S = self._S[:, i:j]
Q.N = Q._S.shape[1]
Q._origin = self._origin + i
Q._next_subgroup = 0
self._subgroup_set.add(Q)
return Q
def same(self, Q):
'''
Tests if the two groups (subgroups) are of the same kind,
i.e., if they can be added.
This is not used at the moment.
OBSOLETE
'''
# Same class?
if self.__class__ != Q.__class__:
return False
# Check all variables except arrays and a few ones
exceptvar = ['owner', 'nextsubgroup', 'origin']
for v, val in self.__dict__.iteritems():
if not(v in Q.__dict__):
return False
if (not(isinstance(val, ndarray)) and (not v in exceptvar) and (val != Q.__dict__[v])):
return False
for v in Q.__dict__.iterkeys():
if not(v in self.__dict__):
return False
return True
def __repr__(self):
if self._owner == self:
return '%s(%d, model=%s, threshold=%s, reset=%s)' % (self.__class__.__name__,
len(self),
repr(self._state_updater),
repr(self._threshold),
repr(self._resetfun))
else:
return '<Size %d subgroup of %s>' % (len(self), repr(self._owner))
def __str__(self):
if self._owner == self:
return '%s of %d neurons' % (self.__class__.__name__, len(self))
else:
return 'Size %d subgroup of %s' % (len(self), self.__class__.__name__)
def __setattr__(self, name, val):
global timedarray
if timedarray is None:
import timedarray
# make sure we are only handing resolved names
if hasattr(self, '_eqs') and name in self._eqs._alias:
self.__setattr__(self._eqs._alias[name], val)
return
if isinstance(val, timedarray.TimedArray):
self.set_var_by_array(name, val)
elif hasattr(self, 'staticvars') and name in self.staticvars:
raise ValueError("Cannot assign static variable "+name)
elif isinstance(val, LinkedVar):
self.link_var(name, val.source, val.var, val.func, val.when, val.clock)
elif hasattr(val,"synapses") and not isinstance(val,Equations): # a synaptic variable
# This above is a hack because we can't import SynapticVariable (infinite recursion)
S=val.synapses
if S.target!=self:
raise AttributeError,"Can only link a synaptic variable to the target group"
global network
if network is None:
import network
selfarr = self.state_(name)
s_name = val.name
#Faster version using weave
if self._useweave:
log_info('brian.neurongroup',
'Using weave for lumped variable.')
compiler = self._cpp_compiler
extra_args = self._extra_compile_args
@network.network_operation(clock=S.clock)
def update_link_var():
s_state = S.state_(s_name)
code = '''
for (int i=0; i<N; i++) {
summed[postsynaptic[i]] += s_state[i];
}
'''
summed = zeros_like(selfarr)
postsynaptic = S.postsynaptic.data
N = len(postsynaptic)
weave.inline(code, ['summed', 'N', 's_state',
'postsynaptic'],
compiler=compiler,
extra_compile_args=extra_args)
selfarr[:] = summed
else:
@network.network_operation(clock=S.clock)
def update_link_var():
s_state = S.state_(s_name)
selfarr[:] = array([sum(s_state[post_syns.data]) for
post_syns in S.synapses_post])
self._owner.contained_objects.append(update_link_var)
else:
Group.__setattr__(self, name, val)
def link_var(self, var, source, sourcevar, func=None, when='start', clock=None):
global network
if network is None:
import network
if clock is None:
clock = self.clock
# check that var is not an equation (it really should only be a parameter
# but not sure how to make this generic and still work with neurongroups
# that aren't defined by Equations objects)
if hasattr(self, 'staticvars') and var in self.staticvars:
raise ValueError("Cannot set a static variable (equation) with a linked variable.")
selfarr = self.state_(var)
if hasattr(source, 'staticvars') and sourcevar in source.staticvars:
if func is None: func = lambda x: x
@network.network_operation(when=when, clock=clock)
def update_link_var():
selfarr[:] = func(getattr(source, sourcevar))
else:
sourcearr = source.state_(sourcevar)
if func is None:
@network.network_operation(when=when, clock=clock)
def update_link_var():
selfarr[:] = sourcearr
else:
@network.network_operation(when=when, clock=clock)
def update_link_var():
selfarr[:] = func(sourcearr)
self._owner.contained_objects.append(update_link_var)
def set_var_by_array(self, var, arr, times=None, clock=None, start=None, dt=None):
# ugly hack, have to import this here because otherwise the order of imports
# is messed up.
import timedarray
timedarray.set_group_var_by_array(self, var, arr, times=times, clock=clock, start=start, dt=dt)
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