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authordos-reis <gdr@axiomatics.org>2008-12-27 19:16:40 +0000
committerdos-reis <gdr@axiomatics.org>2008-12-27 19:16:40 +0000
commite51b2aa30afc0e65cca5bfc32d32dd9471fd65ea (patch)
tree4d2fd56347cc09adba11747665d1cddcbf7c8ce7 /src/algebra/si.spad.pamphlet
parentfdc64c2abcdf53d9afee4541503d1d17763ee92c (diff)
downloadopen-axiom-e51b2aa30afc0e65cca5bfc32d32dd9471fd65ea.tar.gz
* algebra/catdef.spad.pamphlet (OrderedFinite): Export `min' and
`max' values. * algebra/si.spad.pamphlet (SingleInteger): Now satisfies OrderedFinite. Tidy.
Diffstat (limited to 'src/algebra/si.spad.pamphlet')
-rw-r--r--src/algebra/si.spad.pamphlet23
1 files changed, 9 insertions, 14 deletions
diff --git a/src/algebra/si.spad.pamphlet b/src/algebra/si.spad.pamphlet
index e6991817..224976c8 100644
--- a/src/algebra/si.spad.pamphlet
+++ b/src/algebra/si.spad.pamphlet
@@ -162,9 +162,11 @@ IntegerNumberSystem(): Category ==
@
\section{domain SINT SingleInteger}
+
The definition of {\bf one?} has been rewritten
as it relies on calling {\bf ONEP} which is a function specific
to Codemist Common Lisp but is not defined in Common Lisp.
+
<<domain SINT SingleInteger>>=
)abbrev domain SINT SingleInteger
@@ -195,7 +197,7 @@ to Codemist Common Lisp but is not defined in Common Lisp.
-- QSOR, QSXOR, QSLEFTSHIFT, QSADDMOD, QSDIFMOD, QSMULTMOD
-SingleInteger(): Join(IntegerNumberSystem,Logic,OpenMath) with
+SingleInteger(): Join(IntegerNumberSystem,OrderedFinite,Logic,OpenMath) with
canonical
++ \spad{canonical} means that mathematical equality is implied by data structure equality.
canonicalsClosed
@@ -203,22 +205,9 @@ SingleInteger(): Join(IntegerNumberSystem,Logic,OpenMath) with
noetherian
++ \spad{noetherian} all ideals are finitely generated (in fact principal).
- max : () -> %
- ++ max() returns the largest single integer.
- min : () -> %
- ++ min() returns the smallest single integer.
-
-- bit operations
"not": % -> %
++ not(n) returns the bit-by-bit logical {\em not} of the single integer n.
- "~" : % -> %
- ++ ~ n returns the bit-by-bit logical {\em not } of the single integer n.
- "/\": (%, %) -> %
- ++ n /\ m returns the bit-by-bit logical {\em and} of
- ++ the single integers n and m.
- "\/" : (%, %) -> %
- ++ n \/ m returns the bit-by-bit logical {\em or} of
- ++ the single integers n and m.
"xor": (%, %) -> %
++ xor(n,m) returns the bit-by-bit logical {\em xor} of
++ the single integers n and m.
@@ -329,6 +318,12 @@ SingleInteger(): Join(IntegerNumberSystem,Logic,OpenMath) with
addmod(a,b,p) == QSADDMOD(a,b,p)$Lisp
submod(a,b,p) == QSDIFMOD(a,b,p)$Lisp
negative?(x) == QSMINUSP$Lisp x
+ size() == (MAXINT - MININT + 1$Lisp) pretend NonNegativeInteger
+ index i ==
+ i > size() => error ["index %1b out of range",i]
+ per(i + MININT - 1$Lisp)
+ lookup x ==
+ (x - MININT + 1$Lisp) pretend PositiveInteger
reducedSystem(m, v) ==