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| author | dos-reis <gdr@axiomatics.org> | 2008-09-01 16:23:42 +0000 |
|---|---|---|
| committer | dos-reis <gdr@axiomatics.org> | 2008-09-01 16:23:42 +0000 |
| commit | 00796f7b8bc97b964a01d647487214579f91775a (patch) | |
| tree | a8ff76fd793331b7810dc0bbcdba472680c51697 /src/algebra/catdef.spad.pamphlet | |
| parent | 25f1c7c591229dcd84d651542e33a24fc13f837c (diff) | |
| download | open-axiom-00796f7b8bc97b964a01d647487214579f91775a.tar.gz | |
2008-09-01 Martin Rubey <martin.rubey@univie.ac.at>
Gabriel Dos Reis <gdr@cs.tamu.edu>
Fix AW/431
* algebra/ore.spad.pamphlet (SpareUnivariateSkewPolynomial):
Implement **.
2008-09-01 Gabriel Dos Reis <gdr@cs.tamu.edu>
Make ^ an alias for **.
* interp/postpar.boot (postAtom): Replace "^" with "**".
* interp/format.boot (reportOpSymbol): Announce that "^" is an
alias for "**".
* interp/nrungo.boot (compiledLookup): Be sure to look for "**"
when operation is "^".
* interp/define.boot (noteCapsuleFunctionDefinition): New.
(clearCapsuleFunctionTable): Likewise.
(noteExport): Likewise.
(clearExportsTable): Likewise.
(compDefineCapsuleFunction): Rename "^" to "**". Take a note
of the capsule function being compiled.
(compCapsule): Clear previous capsule functions table.
(doItIf): Keep track of predicate validity.
(compCategory): Clear previous exports table.
(compCategoryItem): Take notes of declared attributes and signatures.
* algebra/catdef.spad.pamphlet (DivisionRing): Remove duplicate
definition for "^".
(Group): Likewise.
(Monoid): Likewise.
(SemiGroup): Likewise.
* algebra/poly.spad.pamphlet (PolynomialRing): Remove duplicate
definitins of "^".
(SparseUnivariatePolynomial): Likewise.
* algebra/multpoly.spad.pamphlet (SparseMultivariatePolynomial):
Remove duplicate definitions for "^".
* algebra/interval.spad.pamphlet (Interval): Remove duplicate
definition for "^".
* algebra/curve.spad.pamphlet (FunctionFieldCategory): Remove
duplicate declaration for represents.
* algebra/strap/: Update cached Lisp translations.
* share/algebra: Update databases.
Diffstat (limited to 'src/algebra/catdef.spad.pamphlet')
| -rw-r--r-- | src/algebra/catdef.spad.pamphlet | 11 |
1 files changed, 0 insertions, 11 deletions
diff --git a/src/algebra/catdef.spad.pamphlet b/src/algebra/catdef.spad.pamphlet index b2d2c42e..56860d9f 100644 --- a/src/algebra/catdef.spad.pamphlet +++ b/src/algebra/catdef.spad.pamphlet @@ -408,8 +408,6 @@ DivisionRing(): Category == Join(EntireRing, Algebra Fraction Integer) with "**": (%,Integer) -> % ++ x**n returns x raised to the integer power n. - "^" : (%,Integer) -> % - ++ x^n returns x raised to the integer power n. inv : % -> % ++ inv x returns the multiplicative inverse of x. ++ Error: if x is 0. @@ -419,7 +417,6 @@ DivisionRing(): Category == add n: Integer x: % - _^(x:%, n:Integer):% == x ** n import RepeatedSquaring(%) x ** n: Integer == zero? n => 1 @@ -824,7 +821,6 @@ Group(): Category == Monoid with inv: % -> % ++ inv(x) returns the inverse of x. "/": (%,%) -> % ++ x/y is the same as x times the inverse of y. "**": (%,Integer) -> % ++ x**n returns x raised to the integer power n. - "^": (%,Integer) -> % ++ x^n returns x raised to the integer power n. unitsKnown ++ unitsKnown asserts that recip only returns ++ "failed" for non-units. conjugate: (%,%) -> % @@ -836,7 +832,6 @@ Group(): Category == Monoid with import RepeatedSquaring(%) x:% / y:% == x*inv(y) recip(x:%) == inv(x) - _^(x:%, n:Integer):% == x ** n x:% ** n:Integer == zero? n => 1 n<0 => expt(inv(x),(-n) pretend PositiveInteger) @@ -1014,14 +1009,11 @@ Monoid(): Category == SemiGroup with one?: % -> Boolean ++ one?(x) tests if x is equal to 1. "**": (%,NonNegativeInteger) -> % ++ x**n returns the repeated product ++ of x n times, i.e. exponentiation. - "^" : (%,NonNegativeInteger) -> % ++ x^n returns the repeated product - ++ of x n times, i.e. exponentiation. recip: % -> Union(%,"failed") ++ recip(x) tries to compute the multiplicative inverse for x ++ or "failed" if it cannot find the inverse (see unitsKnown). add import RepeatedSquaring(%) - _^(x:%, n:NonNegativeInteger):% == x ** n one? x == x = 1 sample() == 1 recip x == @@ -1614,12 +1606,9 @@ SemiGroup(): Category == SetCategory with "*": (%,%) -> % ++ x*y returns the product of x and y. "**": (%,PositiveInteger) -> % ++ x**n returns the repeated product ++ of x n times, i.e. exponentiation. - "^": (%,PositiveInteger) -> % ++ x^n returns the repeated product - ++ of x n times, i.e. exponentiation. add import RepeatedSquaring(%) x:% ** n:PositiveInteger == expt(x,n) - _^(x:%, n:PositiveInteger):% == x ** n @ \section{category SETCAT SetCategory} |