diff --git a/books/bookvol10.2.pamphlet b/books/bookvol10.2.pamphlet index 7a9b286..0b3a87c 100644 --- a/books/bookvol10.2.pamphlet +++ b/books/bookvol10.2.pamphlet @@ -8509,6 +8509,232 @@ digraph pic { @ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\pagehead{AffineSpaceCategory}{AFSPCAT} +\pagepic{ps/v102affinespacecategory.ps}{AFSPCAT}{0.75} + +<>= +)set break resume +)sys rm -f AffineSpaceCategory.output +)spool AffineSpaceCategory.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +)show AffineSpaceCategory +--R AffineSpaceCategory K: Field is a category constructor +--R Abbreviation for AffineSpaceCategory is AFSPCAT +--R This constructor is exposed in this frame. +--R Issue )edit bookvol10.2.pamphlet to see algebra source code for AFSPCAT +--R +--R------------------------------- Operations -------------------------------- +--R ?=? : (%,%) -> Boolean affinePoint : List K -> % +--R coerce : List K -> % coerce : % -> List K +--R coerce : % -> OutputForm conjugate : % -> % +--R conjugate : (%,NNI) -> % definingField : % -> K +--R degree : % -> PositiveInteger ?.? : (%,Integer) -> K +--R hash : % -> SingleInteger latex : % -> String +--R list : % -> List K orbit : (%,NNI) -> List % +--R orbit : % -> List % origin : () -> % +--R pointValue : % -> List K rational? : % -> Boolean +--R rational? : (%,NNI) -> Boolean setelt : (%,Integer,K) -> K +--R ?~=? : (%,%) -> Boolean +--R removeConjugate : List % -> List % +--R removeConjugate : (List %,NNI) -> List % +--R +--E 1 + +)spool +)lisp (bye) +@ +<>= +==================================================================== +AffineSpaceCategory examples +==================================================================== + +See Also: +o )show AffineSpaceCategory + +@ + +{\bf See:} + +\pagefrom{SetCategoryWithDegree}{SETCATD} + +{\bf Exports:}\\ + +\begin{tabular}{llll} +\cross{AFSPCAT}{?.?} & +\cross{AFSPCAT}{?=?} & +\cross{AFSPCAT}{?\~{}=?} & +\cross{AFSPCAT}{affinePoint} & +\cross{AFSPCAT}{coerce} \\ +\cross{AFSPCAT}{conjugate} & +\cross{AFSPCAT}{definingField} & +\cross{AFSPCAT}{degree} & +\cross{AFSPCAT}{hash} & +\cross{AFSPCAT}{latex} \\ +\cross{AFSPCAT}{list} & +\cross{AFSPCAT}{orbit} & +\cross{AFSPCAT}{origin} & +\cross{AFSPCAT}{pointValue} & +\cross{AFSPCAT}{rational?} \\ +\cross{AFSPCAT}{removeConjugate} & +\cross{AFSPCAT}{setelt} &&& +\end{tabular} + +These are directly exported but not implemented +\begin{verbatim} + ?.? : (%,Integer) -> K + affinePoint : List K -> % + coerce : % -> List K + coerce : List K -> % + conjugate : % -> % + conjugate : (%,NNI) -> % + definingField : % -> K + list : % -> List K + orbit : % -> List % + orbit : (%,NNI) -> List % + origin : () -> % + pointValue : % -> List K + rational? : % -> Boolean + rational? : (%,NNI) -> Boolean + removeConjugate : (List %,NNI) -> List % + removeConjugate : List % -> List % + setelt : (%,Integer,K) -> K +\end{verbatim} + +These exports come from \refto{SetCategoryWithDegree} +\begin{verbatim} + ?=? : (%,%) -> Boolean + ?~=? : (%,%) -> Boolean + coerce : % -> OutputForm + degree : % -> PositiveInteger + hash : % -> SingleInteger + latex : % -> String +\end{verbatim} + +<>= +)abbrev category AFSPCAT AffineSpaceCategory +++ Author: Gaetan Hache +++ Date Created: 17 nov 1992 +++ Date Last Updated: May 2010 by Tim Daly +++ Description: +++ The following is all the categories and domains related to projective +++ space and part of the PAFF package +AffineSpaceCategory(K:Field):Category == Implementation where + + LIST ==> List + INT ==> Integer + + Implementation ==> + SetCategoryWithDegree with + + origin: () -> % + + affinePoint: LIST(K) -> % + ++ affinePoint creates a affine point from a list + + definingField: % -> K + + coerce: % -> List(K) + + coerce: LIST(K) -> % + ++ coerce a list of K to a affine point. + + orbit: % -> LIST % + ++ orbit(p) returns the orbit of the point p according to the + ++ characteristic of K, that is, for q= char K, + ++ orbit(p) = \{ p, p**q, p**(q**2), p**(q**3), ..... \} + + orbit: (%,NNI) -> LIST % + ++ orbit(p,n) returns the orbit of the point p according to n, that is + ++ orbit(p,n) = \{ p, p**n, p**(n**2), p**(n**3), ..... \} + + conjugate: (%,NNI) -> % + ++ conjugate(p,n) returns p**n, that is all the coordinates of p + ++ to the power of n + + conjugate: % -> % + ++ conjugate(p) returns conjugate(p,n) where n is the characteristic + ++ of the ground field. + + removeConjugate: (LIST(%),NNI) -> LIST(%) + ++ removeConjugate(lp,n) returns a list of points such that no points + ++ in the list is the conjugate (according to n) of another point. + + removeConjugate: LIST(%) -> LIST(%) + ++ removeConjugate(lp) returns removeConjugate(lp,n) + ++ where n is the characteristic of the ground field. + + rational?: (%,NNI) -> Boolean + ++ rational?(p,n) test if the point is rational according to n. + + rational?: % -> Boolean + ++ rational?(p) test if the point is rational according to the + ++ characteristic of the ground field. + + list : % -> LIST(K) + ++ list returns the list of the coordinates + + elt: (%,INT) -> K + ++ elt returns the value of a specified coordinates + + setelt: (%,INT,K) -> K + ++ setelt sets the value of a specified coordinates + + pointValue: % -> LIST(K) + ++ pointValue returns the coordinates of the point or of the point + ++ of origin that represent an infinitly close point + +@ +<>= +"AFSPCAT" + [color=lightblue,href="bookvol10.2.pdf#nameddest=AFSPCAT"]; +"AFSPCAT" -> "SETCATD" + +@ +<>= +"AffineSpaceCategory()" + [color=lightblue,href="bookvol10.2.pdf#nameddest=AFSPCAT"]; +"AffineSpaceCategory()" -> "SetCategoryWithDegree()" + +@ +<>= +digraph pic { + fontsize=10; + bgcolor="#FFFF66"; + node [shape=box, color=white, style=filled]; + +"AffineSpaceCategory()" [color=lightblue]; +"AffineSpaceCategory()" -> "SetCategoryWithDegree()" + +"SetCategoryWithDegree()" [color=lightblue]; +"SetCategoryWithDegree()" -> "BasicType()" +"SetCategoryWithDegree()" -> "CoercibleTo(OutputForm)" +"SetCategoryWithDegree()" -> "SetCategory()" + +"SetCategory()" [color=lightblue]; +"SetCategory()" -> "BasicType()" +"SetCategory()" -> "CoercibleTo(OutputForm)" + +"BasicType()" [color=lightblue]; +"BasicType()" -> "Category" + +"CoercibleTo(OutputForm)" [color=seagreen]; +"CoercibleTo(OutputForm)" -> "CoercibleTo(a:Type)" + +"CoercibleTo(a:Type)" [color=lightblue]; +"CoercibleTo(a:Type)" -> "Category" + +"Package" [color="#00EE00"]; + +"Category" [color=lightblue]; + +} + +@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \pagehead{BagAggregate}{BGAGG} \pagepic{ps/v102bagaggregate.ps}{BGAGG}{1.00} diff --git a/books/bookvol5.pamphlet b/books/bookvol5.pamphlet index 68ea53e..ebd30f9 100644 --- a/books/bookvol5.pamphlet +++ b/books/bookvol5.pamphlet @@ -24342,6 +24342,7 @@ otherwise the new algebra won't be loaded by the interpreter when needed. (|AbelianMonoid| . ABELMON) (|AbelianMonoidRing| . AMR) (|AbelianSemiGroup| . ABELSG) + (|AffineSpaceCategory| . AFSPCAT) (|Aggregate| . AGG) (|Algebra| . ALGEBRA) (|AlgebraicallyClosedField| . 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b/src/algebra/Makefile.pamphlet index 8dfc699..a0a69b6 100644 --- a/src/algebra/Makefile.pamphlet +++ b/src/algebra/Makefile.pamphlet @@ -334,7 +334,6 @@ LAYER1=\ ${OUT}/TEX1.o ${OUT}/UDVO.o ${OUT}/YSTREAM.o \ layer1done - @ <>= /* layer 1 */ @@ -787,12 +786,13 @@ LAYER1=\ @ \subsection{Layer 2} Depends on: AGG ELTAGG FINITE FORTCAT IDPC IEVALAB LMODULE MONAD ORDSET -PATMAB RETRACT RMODULE SGROUP \\ +PATMAB RETRACT RMODULE SGROUP SETCATD \\ Used by next layer: BMODULE CACHSET ELEMFUN EVALAB GROUP IXAGG MONADWU NARNG OASGP PDRING <>= LAYER2=\ + ${OUT}/AFSPCAT.o \ ${OUT}/API.o ${OUT}/ASP29.o ${OUT}/ATRIG.o ${OUT}/ATRIG-.o \ ${OUT}/BEZIER.o ${OUT}/BLHN.o \ ${OUT}/BLQT.o ${OUT}/BMODULE.o ${OUT}/CACHSET.o \ @@ -819,6 +819,11 @@ LAYER2=\ /* AGG ELTAGG FINITE FORTCAT IDPC IEVALAB LMODULE MONAD ORDSET */ /* PATMAB RETRACT RMODULE SEGCAT SGROUP */ +"AFSPCAT" [color="#4488FF",href="bookvol10.2.pdf#nameddest=AFSPCAT", + shape=ellipse] +"AFSPCAT" -> "SETCATD" +/*"AFSPCAT" -> {"SETCAT"; "BASTYPE"; "KOERCE"}*/ + "ABELGRP" [color="#4488FF",href="bookvol10.2.pdf#nameddest=ABELGRP", shape=ellipse] /*"ABELGRP" -> {"CABMON"; "ABELMON"; "ABELSG"; "SETCAT"; "BASTYPE"}*/ @@ -16353,6 +16358,21 @@ ${MID}/PROJPLPS.nrlib/code.o: ${MID}/PROJPLPS.spad | ${INTERPSYS} >${TMP}/trace ; \ fi ) @ +<>= + +AFSPCATDEPS = SETCATD + +${MID}/AFSPCAT.nrlib/code.o: ${MID}/AFSPCAT.spad + @echo P3 making ${MID}/AFSPCAT.nrlib/code.o from ${MID}/AFSPCAT.spad + @ (cd ${MID} ; \ + if [ -z "${NOISE}" ] ; then \ + echo -e ")lib ${AFSPCATDEPS} \n )co AFSPCAT.spad" \ + | ${INTERPSYS} ; \ + else \ + echo -e ")lib ${AFSPCATDEPS} \n )co AFSPCAT.spad" \ + | ${INTERPSYS} >${TMP}/trace ; \ + fi ) +@ \section{Broken Files} These files are Aldor files @@ -17057,6 +17077,7 @@ This keeps the regression test list in the algebra Makefile. HELPFILE=${HELP}/help.help SPADHELP=\ + ${HELP}/AffineSpaceCategory.help \ ${HELP}/AlgebraicallyClosedField.help \ ${HELP}/Any.help \ ${HELP}/ApplicationProgramInterface.help \ @@ -17238,6 +17259,7 @@ is put into a int/Makefile.algebra and then executed by make. TESTSYS= ${OBJ}/${SYS}/bin/interpsys REGRESS= \ + AffineSpaceCategory.regress \ AlgebraicallyClosedField.regress \ Any.regress \ ApplicationProgramInterface.regress \ @@ -17418,8 +17440,20 @@ all: ${REGRESS} @echo algebra test cases complete. @ <>= +${HELP}/AffineSpaceCategory.help: ${BOOKS}/bookvol10.2.pamphlet + @echo 7000 create AffineSpaceCategory.help from \ + ${BOOKS}/bookvol10.2.pamphlet + @${TANGLE} -R"AffineSpaceCategory.help" \ + ${BOOKS}/bookvol10.2.pamphlet \ + >${HELP}/AffineSpaceCategory.help + @cp ${HELP}/AffineSpaceCategory.help ${HELP}/AFSPCAT.help + @${TANGLE} -R"AffineSpaceCategory.input" \ + ${BOOKS}/bookvol10.2.pamphlet \ + >${INPUT}/AffineSpaceCategory.input + @echo "AffineSpaceCategory (AFSPCAT)" >>${HELPFILE} + ${HELP}/AlgebraicallyClosedField.help: ${BOOKS}/bookvol10.2.pamphlet - @echo 7000 create AlgebraicallyClosedField.help from \ + @echo 7001 create AlgebraicallyClosedField.help from \ ${BOOKS}/bookvol10.2.pamphlet @${TANGLE} -R"AlgebraicallyClosedField.help" \ ${BOOKS}/bookvol10.2.pamphlet \ diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index e32492c..976ccad 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2725,5 +2725,7 @@ books/bookvol10.3 add ProjectivePlane
books/ps/v103pseudoalgebraicclosureoffinitefield.ps corrected
20100515.05.tpd.patch books/bookvol10.3 ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField
+20100516.01.tpd.patch +books/bookvol10.2 add AffineSpaceCategory