aboutsummaryrefslogtreecommitdiff
path: root/src/algebra
diff options
context:
space:
mode:
Diffstat (limited to 'src/algebra')
-rw-r--r--src/algebra/Makefile.am2
-rw-r--r--src/algebra/Makefile.in2
-rw-r--r--src/algebra/exposed.lsp.pamphlet2
-rw-r--r--src/algebra/xlpoly.spad.pamphlet36
4 files changed, 21 insertions, 21 deletions
diff --git a/src/algebra/Makefile.am b/src/algebra/Makefile.am
index 6d182dab..88c3a9fc 100644
--- a/src/algebra/Makefile.am
+++ b/src/algebra/Makefile.am
@@ -2375,7 +2375,7 @@ $(OUT)/POLY.$(FASLEXT): strap-2/INDE.$(FASLEXT)
$(OUT)/FR2.$(FASLEXT): strap-2/COMPLEX.$(FASLEXT)
oa_algebra_layer_9 = \
- DLP EAB IPADIC MAGMA QUEUE MATLIN \
+ DLP EAB IPADIC FMAGMA QUEUE MATLIN \
FAMONOID CONTFRAC WP PERM PERMGRP DDFACT \
FSERIES FT IDPAG INFINITY LA \
OMLO ORTHPOL PRODUCT POLTOPOL SQMATRIX \
diff --git a/src/algebra/Makefile.in b/src/algebra/Makefile.in
index 67e6a05f..25cd01a2 100644
--- a/src/algebra/Makefile.in
+++ b/src/algebra/Makefile.in
@@ -929,7 +929,7 @@ oa_algebra_layer_8_objects = \
$(addsuffix .$(FASLEXT),$(oa_algebra_layer_8)))
oa_algebra_layer_9 = \
- DLP EAB IPADIC MAGMA QUEUE MATLIN \
+ DLP EAB IPADIC FMAGMA QUEUE MATLIN \
FAMONOID CONTFRAC WP PERM PERMGRP DDFACT \
FSERIES FT IDPAG INFINITY LA \
OMLO ORTHPOL PRODUCT POLTOPOL SQMATRIX \
diff --git a/src/algebra/exposed.lsp.pamphlet b/src/algebra/exposed.lsp.pamphlet
index 011793db..d3362bdf 100644
--- a/src/algebra/exposed.lsp.pamphlet
+++ b/src/algebra/exposed.lsp.pamphlet
@@ -882,7 +882,7 @@
(|LocalAlgebra| . LA)
(|Localize| . LO)
(|LyndonWord| . LWORD)
- (|Magma| . MAGMA)
+ (|FreeMagma| . FMAGMA)
(|MakeBinaryCompiledFunction| . MKBCFUNC)
(|MakeUnaryCompiledFunction| . MKUCFUNC)
(|MappingPackageInternalHacks1| . MAPHACK1)
diff --git a/src/algebra/xlpoly.spad.pamphlet b/src/algebra/xlpoly.spad.pamphlet
index 0ce1f1b0..8a153e51 100644
--- a/src/algebra/xlpoly.spad.pamphlet
+++ b/src/algebra/xlpoly.spad.pamphlet
@@ -10,12 +10,12 @@
\tableofcontents
\eject
-\section{domain MAGMA Magma}
+\section{domain FMAGMA FreeMagma}
-<<domain MAGMA Magma>>=
+<<domain FMAGMA FreeMagma>>=
import OrderedSet
import RetractableTo
-)abbrev domain MAGMA Magma
+)abbrev domain FMAGMA FreeMagma
++ Author: Michel Petitot (petitot@lifl.fr).
++ Date Created: 91
++ Date Last Updated: 7 Juillet 92
@@ -31,7 +31,7 @@ import RetractableTo
++ parenthesized words (binary trees over arbitrary symbols)
++ useful in \spadtype{LiePolynomial}. \newline Author: Michel Petitot (petitot@lifl.fr).
-Magma(VarSet:OrderedSet):Public == Private where
+FreeMagma(VarSet:OrderedSet):Public == Private where
WORD ==> OrderedFreeMonoid(VarSet)
EX ==> OutputForm
@@ -42,7 +42,7 @@ Magma(VarSet:OrderedSet):Public == Private where
++ \axiom{first(x)} returns the first entry of the tree \axiom{x}.
left : $ -> $
++ \axiom{left(x)} returns left subtree of \axiom{x} or
- ++ error if \axiomOpFrom{retractable?}{Magma}(\axiom{x}) is true.
+ ++ error if \axiomOpFrom{retractable?}{FreeMagma}(\axiom{x}) is true.
length : $ -> PositiveInteger
++ \axiom{length(x)} returns the number of entries in \axiom{x}.
lexico : ($,$) -> Boolean
@@ -52,16 +52,16 @@ Magma(VarSet:OrderedSet):Public == Private where
++ its arguments. Thus this is not a total ordering.
mirror : $ -> $
++ \axiom{mirror(x)} returns the reversed word of \axiom{x}.
- ++ That is \axiom{x} itself if \axiomOpFrom{retractable?}{Magma}(\axiom{x}) is true and
+ ++ That is \axiom{x} itself if \axiomOpFrom{retractable?}{FreeMagma}(\axiom{x}) is true and
++ \axiom{mirror(z) * mirror(y)} if \axiom{x} is \axiom{y*z}.
rest : $ -> $
++ \axiom{rest(x)} return \axiom{x} without the first entry or
- ++ error if \axiomOpFrom{retractable?}{Magma}(\axiom{x}) is true.
+ ++ error if \axiomOpFrom{retractable?}{FreeMagma}(\axiom{x}) is true.
retractable? : $ -> Boolean
++ \axiom{retractable?(x)} tests if \axiom{x} is a tree with only one entry.
right : $ -> $
++ \axiom{right(x)} returns right subtree of \axiom{x} or
- ++ error if \axiomOpFrom{retractable?}{Magma}(\axiom{x}) is true.
+ ++ error if \axiomOpFrom{retractable?}{FreeMagma}(\axiom{x}) is true.
varList : $ -> List VarSet
++ \axiom{varList(x)} returns the list of distinct entries of \axiom{x}.
@@ -120,7 +120,7 @@ Magma(VarSet:OrderedSet):Public == Private where
first x.left
rest x ==
- x case VarSet => error "rest$Magma: inexistant rest"
+ x case VarSet => error "rest$FreeMagma: inexistant rest"
lx:$ := x.left
lx case VarSet => x.right
[rest lx , x.right]$VWORD
@@ -166,7 +166,7 @@ as well, and we call $C(f)$ an acyclic orbit.
import OrderedSet
import RetractableTo
import Boolean
-import Magma
+import FreeMagma
)abbrev domain LWORD LyndonWord
++ Author: Michel Petitot (petitot@lifl.fr).
++ Date Created: 91
@@ -188,7 +188,7 @@ import Magma
++ Parenthesized Lyndon words can be generated from symbols by using the following
++ rule: \axiom{[[a,b],c]} is a Lyndon word iff \axiom{a*b < c <= b} holds.
++ Lyndon words are internally represented by binary trees using the
-++ \spadtype{Magma} domain constructor.
+++ \spadtype{FreeMagma} domain constructor.
++ Two ordering are provided: lexicographic and
++ length-lexicographic. \newline
++ Author : Michel Petitot (petitot@lifl.fr).
@@ -201,7 +201,7 @@ LyndonWord(VarSet:OrderedSet):Public == Private where
OF ==> OutputForm
ARRAY1==> OneDimensionalArray
- Public == Join(OrderedSet,RetractableTo VarSet,CoercibleTo OFMON,CoercibleTo Magma VarSet) with
+ Public == Join(OrderedSet,RetractableTo VarSet,CoercibleTo OFMON,CoercibleTo FreeMagma VarSet) with
retractable? : $ -> Boolean
++ \axiom{retractable?(x)} tests if \axiom{x} is a tree with only one entry.
left : $ -> $
@@ -233,9 +233,9 @@ LyndonWord(VarSet:OrderedSet):Public == Private where
++ \axiom{LyndonWordsList(vl, n)} returns the list of Lyndon
++ words over the alphabet \axiom{vl}, up to order \axiom{n}.
- Private == Magma(VarSet) add
+ Private == FreeMagma(VarSet) add
-- Representation
- Rep:= Magma(VarSet)
+ Rep:= FreeMagma(VarSet)
-- Fonctions locales
LetterList : OFMON -> List VarSet
@@ -290,7 +290,7 @@ LyndonWord(VarSet:OrderedSet):Public == Private where
lx < ly
coerce(x:$):OF == bracket(x::OFMON::OF)
- coerce(x:$):Magma VarSet == x::Rep
+ coerce(x:$):FreeMagma VarSet == x::Rep
LyndonWordsList1 (vl,n) == -- a ameliorer !!!!!!!!!!!
null vl => error "empty list"
@@ -520,7 +520,7 @@ import LyndonWord
++ (Oxford science publications). \newline Author: Michel Petitot (petitot@lifl.fr).
LiePolynomial(VarSet:OrderedSet, R:CommutativeRing) : Public == Private where
- MAGMA ==> Magma(VarSet)
+ FMAGMA ==> FreeMagma(VarSet)
LWORD ==> LyndonWord(VarSet)
WORD ==> OrderedFreeMonoid(VarSet)
XDPOLY ==> XDistributedPolynomial(VarSet,R)
@@ -618,7 +618,7 @@ LiePolynomial(VarSet:OrderedSet, R:CommutativeRing) : Public == Private where
r
--definitions locales
- makeLyndon(u,v) == (u::MAGMA * v::MAGMA) pretend LWORD
+ makeLyndon(u,v) == (u::FMAGMA * v::FMAGMA) pretend LWORD
crw(u,v) == -- u et v sont des mots de Lyndon
u = v => 0
@@ -1217,7 +1217,7 @@ LieExponentials(VarSet, R, Order): XDPcat == XDPdef where
<<*>>=
<<license>>
-<<domain MAGMA Magma>>
+<<domain FMAGMA FreeMagma>>
<<domain LWORD LyndonWord>>
<<category LIECAT LieAlgebra>>
<<category FLALG FreeLieAlgebra>>
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-05 04:33:38 +0000