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authordos-reis <gdr@axiomatics.org>2009-01-07 00:10:06 +0000
committerdos-reis <gdr@axiomatics.org>2009-01-07 00:10:06 +0000
commita85264fb5a5f7cc8a62153fa562808ef60a9330e (patch)
tree20d4ebebcf24ebaac152c6100e22286c86d26bf4 /src/algebra
parent258d6427280f1ee0cce0dcdf12c38ad65b5e36cc (diff)
downloadopen-axiom-a85264fb5a5f7cc8a62153fa562808ef60a9330e.tar.gz
* algebra/any.spad.pamphlet (Maybe): Rework.
Diffstat (limited to 'src/algebra')
-rw-r--r--src/algebra/any.spad.pamphlet41
1 files changed, 19 insertions, 22 deletions
diff --git a/src/algebra/any.spad.pamphlet b/src/algebra/any.spad.pamphlet
index 7bc2d368..b877b958 100644
--- a/src/algebra/any.spad.pamphlet
+++ b/src/algebra/any.spad.pamphlet
@@ -41,45 +41,42 @@ None():SetCategory == add
\section{The Maybe domain}
<<domain MAYBE Maybe>>=
-import UnionType
import CoercibleTo OutputForm
import Boolean
)abbrev domain MAYBE Maybe
++ Author: Gabriel Dos Reis
++ Date Created: August 20, 2008
-++ Also See: Union(T,"failed")
+++ Date Last Modified: January 06, 2009
++ Description:
-++ This domain implements the notion of optional vallue, where
+++ This domain implements the notion of optional value, where
++ a computation may fail to produce expected value.
-++ Note: Ideally, this domain definition should be a one-liner.
-++ That is currently impossible because of mismatch between
-++ the `old representation' and `new representation' for domains.
Maybe(T: CoercibleTo OutputForm): Public == Private where
- Public == Join(UnionType,CoercibleTo OutputForm) with
+ Public == Join(UnionType,RetractableTo T, CoercibleTo OutputForm) with
+ just: T -> %
+ ++ maybe(x) injects the value `x' into %.
_case: (%,[| T |]) -> Boolean
++ x case T returns true if x is actually a data of type T.
_case: (%,[| nothing |]) -> Boolean
++ x case nothing evaluates true if the value for x is missing.
- coerce: T -> %
- ++ x::T injects the value x into %.
- coerce: % -> T
- ++ x::T tries to extract the value of T from the computation x.
- ++ Produces a runtime error when the computation fails.
autoCoerce: % -> T
- ++ same as above but implicitly called by the compiler.
+ ++ autoCoerce is a courtesy coercion function used by the compiler
+ ++ in case it knows that `x' really is a T.
nothing: %
++ represents failure.
Private == add
- Rep == Union(T,"nothing")
- nothing == per("nothing"::Rep)
- coerce(x: T): % == per(x::Rep)
- coerce(x: %): T == rep(x)::T
- autoCoerce x == rep(x)::T
- x case T == rep x case T
- x case nothing == rep x case "nothing"
+ nothing == %nothing$Lisp
+ just x == x : %
+ x case nothing == EQ(x,%nothing$Lisp)$Lisp
+ x case T == not(x case nothing)
+ autoCoerce x == x : T
+ coerce(x: T): % == just x
+ retractIfCan x ==
+ x case T => x@T
+ "failed"
coerce(x: %): OutputForm ==
- x case T => x::T::OutputForm
- paren(empty()$OutputForm)$OutputForm
+ x case nothing => paren(empty()$OutputForm)$OutputForm
+ (x@T)::OutputForm
+
@