Updated doc of the theano.function on the web site

doc/library/compile/function.txt

@@ -81,7 +81,7 @@ Reference
         Initialize object attributes.
 
 
-.. function:: function(inputs, outputs, mode=None, updates=None, givens=None, accept_inplace=False, name=None)
+.. function:: function(inputs, outputs, mode=None, updates=None, givens=None, no_default_updates=False, accept_inplace=False, name=None, rebuild_strict=True, allow_input_downcast=None, profile=None, on_unused_input='raise')
 
     Return a callable object that will calculate `outputs` from `inputs`.
 
@@ -121,6 +121,30 @@ Reference
     :param name: an optional name for this function.
       The profile mode will print the time spent in this function.
 
+    :param rebuild_strict: True (Default) is the safer and better tested setting, in which case
+    `givens` must substitute new variables with the same Type as the variables they replace.
+    False is a you-better-know-what-you-are-doing setting, that permits `givens` to replace
+    variables with new variables of any Type.  The consequence of changing a Type is that all
+    results depending on that variable may have a different Type too (the graph is rebuilt from
+    inputs to outputs).  If one of the new types does not make sense for one of the Ops in the
+    graph, an Exception will be raised.
+
+    :type allow_input_downcast: Boolean or None
+    :param allow_input_downcast: True means that the values passed as
+    inputs when calling the function can be silently downcasted to fit
+    the dtype of the corresponding Variable, which may lose precision.
+    False means that it will only be cast to a more general, or
+    precise, type. None (default) is almost like False, but allows
+    downcasting of Python float scalars to floatX.
+
+    :type profile: None, True, or ProfileStats instance
+    :param profile: accumulate profiling information into a given ProfileStats
+    instance. If argument is `True` then a new ProfileStats instance will be
+    used.  This profiling object will be available via self.profile.
+
+    :param on_unused_input: What to do if a variable in the 'inputs' list is
+    not used in the graph. Possible values are 'raise', 'warn', and 'ignore'.
+
     :rtype: Function instance
 
     :returns: a callable object that will compute the outputs (given the inputs)

theano/compile/function.py

@@ -44,10 +44,6 @@ def function(inputs, outputs=None, mode=None, updates=None, givens=None,
 
     :param name: an optional name for this function. The profile mode will print the time spent in this function.
 
-    :rtype: Function instance
-    :returns: a callable object that will compute the outputs (given the inputs)
-    and update the implicit function arguments according to the `updates`.
-
     :param rebuild_strict: True (Default) is the safer and better tested setting, in which case
     `givens` must substitute new variables with the same Type as the variables they replace.
     False is a you-better-know-what-you-are-doing setting, that permits `givens` to replace
@@ -72,6 +68,10 @@ def function(inputs, outputs=None, mode=None, updates=None, givens=None,
     :param on_unused_input: What to do if a variable in the 'inputs' list is
     not used in the graph. Possible values are 'raise', 'warn', and 'ignore'.
 
+    :rtype: Function instance
+    :returns: a callable object that will compute the outputs (given the inputs)
+    and update the implicit function arguments according to the `updates`.
+
     :note: Regarding givens: Be careful to make sure that these substitutions are
     independent--behaviour when Var1 of one pair appears in the graph leading to Var2 in
     another expression is undefined.  Replacements specified with givens are different from