Create an active copy of a frozen function
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unfreeze(object
)
unfreeze(object)
reactivates all inactive
functions occurring in object
, proceeding recursively
along the structure of object
, and then evaluates
the result.
unfreeze
uses misc::maprec
to proceed recursively along
the structure of object
. This means that for basic domains such
as arrays, tables, lists, or polynomials,
the function unfreeze
is applied to each operand
of object
.
If object
is an element of a library domain,
then the behavior of unfreeze
is specified by the
method maprec
that overloads the function misc::maprec
.
If this method does not exist, then unfreeze
has
no effect on object
. See Example 2.
unfreeze
does not operate on the body of
procedures. Therefore, it is recommended not to embed inactive functions
inside procedures.
Create an inactive form of the function environment int
:
_int := freeze(int): F := _int(x*exp(x^2), x = 0..1)
The inactive form of int
keeps every information
that is known about the function int
, for example,
the output, the type, and the "float"
slot for
floatingpoint evaluation:
F, type(F), float(F)
The original function environment int
is not modified by freeze
:
int(x*exp(x^2), x = 0..1)
Use unfreeze
to reactivate the inactive function _int
and
evaluate the result:
unfreeze(F), unfreeze(F + 1/2)
The function unfreeze
uses misc::maprec
to operate
recursively along the structure of object
. For
example, if object
is an array containing inactive
functions, such as:
a := array(1..2, [freeze(int)(sin(x), x = 0..2*PI), freeze(sum)(k^2, k = 1..n)] )
then unfreeze(a)
operates on the operands
of a
:
unfreeze(a)
This means that for library domains, the effect of unfreeze
is
specified by the method maprec
. If the domain does
not implement this method, then unfreeze
does not
operate on the objects of this domain. For example, create a domain
and an object containing an inactive function as its operand:
dummy := newDomain("dummy"): o := new(dummy, freeze(int)(sin(x), x = 0..2*PI))
The function unfreeze
applied to the object o
has
no effect:
unfreeze(o)
If you overload the function misc::maprec
in
order to operate on the first operand of objects of the domain dummy
,
then unfreeze
operates on o
as
expected:
dummy::maprec := x > extsubsop(x, 1 = misc::maprec(extop(x,1), args(2..args(0))) ): unfreeze(o)

Any MuPAD^{®} object 
Evaluated version of object
after reactivating
all inactive functions in it.