*TODO* Freshen up this old documentation
io - defines aesara.function [TODO]¶
inputs argument to
aesara.function is a list, containing the
Variable instances for which values will be specified at the time of the function call. But inputs can be more than just Variables.
In instances let us attach properties to
Variables to tell function more about how to use them.
__init__(variable, name=None, value=None, update=None, mutable=False, strict=False, autoname=True, implicit=None)¶
variable: a Variable instance. This will be assigned a value before running the function, not computed from its owner.
name: Any type. (If
autoname_input==True, defaults to
nameis a valid Python identifier, this input can be set by
kwarg, and its value can be accessed by
self.<name>. The default value is
value: literal or
Container. The initial/default value for this
- input. If update is`` None``, this input acts just like
an argument with a default value in Python. If update is not
None, changes to this value will “stick around”, whether due to an update or a user’s explicit action.
update: Variable instance. This expression Variable will replace
valueafter each function call. The default value is
None, indicating that no update is to be done.
mutable: Bool (requires value). If
True, permit the compiled function to modify the Python object being used as the default value. The default value is
strict: Bool (default:
Truemeans that the value you pass for this input must have exactly the right type. Otherwise, it may be cast automatically to the proper type.
autoname: Bool. If set to
Noneand the Variable has a name, it will be taken as the input’s name. If autoname is set to
False, the name is the exact value passed as the name parameter (possibly
implicit: Bool or
True: This input is implicit in the sense that the user is not allowed to provide a value for it. Requires
valueto be set.
False: The user can provide a value for this input. Be careful when
valueis a container, because providing an input value will overwrite the content of this container.
None: Automatically choose between
Falsedepending on the situation. It will be set to
Falsein all cases except if
valueis a container (so that there is less risk of accidentally overwriting its content without being aware of it).
Value: initial and default values¶
value argument makes an In() instance an optional parameter
of the compiled function. For example, in the following code we are
defining an arity-2 function
>>> import aesara.tensor as at >>> from aesara import function >>> from aesara.compile.io import In >>> u, x, s = at.scalars('u', 'x', 's') >>> inc = function([u, In(x, value=3), In(s, update=(s+x*u), value=10.0)], )
Since we provided a
x, we can call it with just a value for
u like this:
>>> inc(5) # update s with 10+3*5  >>> print(inc[s]) 25.0
The effect of this call is to increment the storage associated to
inc by 15.
If we pass two arguments to
inc, then we override the value associated to
x, but only for this one function call.
>>> inc(3, 4) # update s with 25 + 3*4  >>> print(inc[s]) 37.0 >>> print(inc[x]) # the override value of 4 was only temporary 3.0
If we pass three arguments to
inc, then we override the value associated
s’s value is updated on every call, the old value of
s will be ignored and then replaced.
>>> inc(3, 4, 7) # update s with 7 + 3*4  >>> print(inc[s]) 19.0
We can also assign to
>>> inc[s] = 10 >>> inc[s] array(10.0)
Input Argument Restrictions¶
The following restrictions apply to the inputs to
- Every input list element must be a valid
Ininstance, or must be upgradable to a valid
Ininstance. See the shortcut rules below.
- The same restrictions apply as in Python function definitions: default arguments and keyword arguments must come at the end of the list. Un-named mandatory arguments must come at the beginning of the list.
- Names have to be unique within an input list. If multiple inputs have the same name, then the function will raise an exception. [*Which exception?]
Ininstances may not name the same Variable. I.e. you cannot give the same parameter multiple times.
If no name is specified explicitly for an In instance, then its name
will be taken from the Variable’s name. Note that this feature can cause
harmless-looking input lists to not satisfy the two conditions above.
In such cases, Inputs should be named explicitly to avoid problems
such as duplicate names, and named arguments preceding unnamed ones.
This automatic naming feature can be disabled by instantiating an In
instance explicitly with the
autoname flag set to False.
Access to function values and containers¶
For each input,
aesara.function will create a
value was not already a
Container (or if
False). At the time of a function call,
each of these containers must be filled with a value. Each input (but
especially ones with a default value or an update expression) may have a
value between calls. The function interface defines a way to get at
both the current value associated with an input, as well as the container
which will contain all future values:
valueproperty accesses the current values. It is both readable and writable, but assignments (writes) may be implemented by an internal copy and/or casts.
containerproperty accesses the corresponding container. This property accesses is a read-only dictionary-like interface. It is useful for fetching the container associated with a particular input to share containers between functions, or to have a sort of pointer to an always up-to-date value.
container properties provide dictionary-like access based on three types of keys:
- integer keys: you can look up a value/container by its position in the input list;
- name keys: you can look up a value/container by its name;
- Variable keys: you can look up a value/container by the Variable it corresponds to.
In addition to these access mechanisms, there is an even more convenient
method to access values by indexing a Function directly by typing
fn[<name>], as in the examples above.
To show some examples of these access methods…
>>> from aesara import tensor as at, function >>> a, b, c = at.scalars('xys') # set the internal names of graph nodes >>> # Note that the name of c is 's', not 'c'! >>> fn = function([a, b, ((c, c+a+b), 10.0)], )
>>> # the value associated with c is accessible in 3 ways >>> fn['s'] is fn.value[c] True >>> fn['s'] is fn.container[c].value True
>>> fn['s'] array(10.0) >>> fn(1, 2)  >>> fn['s'] array(13.0) >>> fn['s'] = 99.0 >>> fn(1, 0)  >>> fn['s'] array(100.0) >>> fn.value[c] = 99.0 >>> fn(1,0)  >>> fn['s'] array(100.0) >>> fn['s'] == fn.value[c] True >>> fn['s'] == fn.container[c].value True
Every element of the inputs list will be upgraded to an In instance if necessary.
- a Variable instance
rwill be upgraded like
- a tuple
(name, r)will be
- a tuple
(r, val)will be
In(r, value=value, autoname=True)
- a tuple
((r,up), val)will be
In(r, value=value, update=up, autoname=True)
- a tuple
(name, r, val)will be
In(r, name=name, value=value)
- a tuple
(name, (r,up), val)will be
In(r, name=name, value=val, update=up, autoname=True)
>>> import aesara >>> from aesara import tensor as at >>> from aesara.compile.io import In >>> x = at.scalar() >>> y = at.scalar('y') >>> z = at.scalar('z') >>> w = at.scalar('w')
>>> fn = aesara.function(inputs=[x, y, In(z, value=42), ((w, w+x), 0)], ... outputs=x + y + z) >>> # the first two arguments are required and the last two are >>> # optional and initialized to 42 and 0, respectively. >>> # The last argument, w, is updated with w + x each time the >>> # function is called.
>>> fn(1) # illegal because there are two required arguments Traceback (most recent call last): ... TypeError: Missing required input: y >>> fn(1, 2) # legal, z is 42, w goes 0 -> 1 (because w <- w + x) array(45.0) >>> fn(1, y=2) # legal, z is 42, w goes 1 -> 2 array(45.0) >>> fn(x=1, y=2) # illegal because x was not named Traceback (most recent call last): ... TypeError: Unknown input or state: x. The function has 3 named inputs (y, z, w), and 1 unnamed input which thus cannot be accessed through keyword argument (use 'name=...' in a variable's constructor to give it a name). >>> fn(1, 2, 3) # legal, z is 3, w goes 2 -> 3 array(6.0) >>> fn(1, z=3, y=2) # legal, z is 3, w goes 3 -> 4 array(6.0) >>> fn(1, 2, w=400) # legal, z is 42 again, w goes 400 -> 401 array(45.0) >>> fn(1, 2) # legal, z is 42, w goes 401 -> 402 array(45.0)
In the example above,
z has value 42 when no value is explicitly given.
This default value is potentially used at every function invocation, because
z has no
update or storage associated with it.
outputs argument to function can be one of
- a Variable or
- a list of Variables or
Out instance is a structure that lets us attach options to individual output
similarly to how
In lets us attach options to individual input
Out(variable, borrow=False) returns an
True, a reference to function’s internal storage is OK. A value returned for this output might be clobbered by running the function again, but the function might be faster.
If a single
Out instance is given as argument, then the compiled function will return a single value.
If a list of
Out instances is given as argument, then the compiled function will return a list of their values.
>>> import numpy >>> from aesara.compile.io import Out >>> x, y, s = at.matrices('xys')
>>> # print a list of 2 ndarrays >>> fn1 = aesara.function([x], [x+x, Out((x+x).T, borrow=True)]) >>> fn1(numpy.asarray([[1,0],[0,1]])) [array([[ 2., 0.], [ 0., 2.]]), array([[ 2., 0.], [ 0., 2.]])]
>>> # print a list of 1 ndarray >>> fn2 = aesara.function([x], [x+x]) >>> fn2(numpy.asarray([[1,0],[0,1]])) [array([[ 2., 0.], [ 0., 2.]])]
>>> # print an ndarray >>> fn3 = aesara.function([x], outputs=x+x) >>> fn3(numpy.asarray([[1,0],[0,1]])) array([[ 2., 0.], [ 0., 2.]])