diff --git a/books/bookvol10.3.pamphlet b/books/bookvol10.3.pamphlet index 5366e0d..a1d04e8 100644 --- a/books/bookvol10.3.pamphlet +++ b/books/bookvol10.3.pamphlet @@ -310,6 +310,187 @@ in the bootstrap set. Thus, %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Chapter A} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\section{domain AFFSP AffineSpace} +<>= +)set break resume +)sys rm -f AffineSpace.output +)spool AffineSpace.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +)show AffineSpace +--R AffineSpace(dim: NonNegativeInteger,K: Field) is a domain constructor +--R Abbreviation for AffineSpace is AFFSP +--R This constructor is exposed in this frame. +--R Issue )edit bookvol10.3.pamphlet to see algebra source code for AFFSP +--R +--R------------------------------- Operations -------------------------------- +--R ?=? : (%,%) -> Boolean affinePoint : List K -> % +--R coerce : List K -> % coerce : % -> List K +--R coerce : % -> OutputForm conjugate : % -> % +--R definingField : % -> K degree : % -> PositiveInteger +--R ?.? : (%,Integer) -> K hash : % -> SingleInteger +--R latex : % -> String list : % -> List K +--R orbit : % -> List % origin : () -> % +--R pointValue : % -> List K rational? : % -> Boolean +--R setelt : (%,Integer,K) -> K ?~=? : (%,%) -> Boolean +--R conjugate : (%,NonNegativeInteger) -> % +--R orbit : (%,NonNegativeInteger) -> List % +--R rational? : (%,NonNegativeInteger) -> Boolean +--R removeConjugate : List % -> List % +--R removeConjugate : (List %,NonNegativeInteger) -> List % +--R +--E 1 + +)spool +)lisp (bye) +@ +<>= +==================================================================== +AffineSpace examples +==================================================================== + +See Also: +o )show AffineSpace + +@ +\pagehead{AffineSpace}{AFFSP} +\pagepic{ps/v103affinespace.ps}{AFFSP}{1.00} + +{\bf Exports:}\\ +\begin{tabular}{lllll} +\cross{AFFSP}{?.?} & +\cross{AFFSP}{?=?} & +\cross{AFFSP}{?\~{}=?} & +\cross{AFFSP}{affinePoint} & +\cross{AFFSP}{coerce} \\ +\cross{AFFSP}{conjugate} & +\cross{AFFSP}{definingField} & +\cross{AFFSP}{degree} & +\cross{AFFSP}{hash} & +\cross{AFFSP}{latex} \\ +\cross{AFFSP}{list} & +\cross{AFFSP}{orbit} & +\cross{AFFSP}{origin} & +\cross{AFFSP}{pointValue} & +\cross{AFFSP}{rational?} \\ +\cross{AFFSP}{removeConjugate} & +\cross{AFFSP}{setelt} &&& +\end{tabular} + +<>= +)abbrev domain AFFSP AffineSpace +++ 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 +AffineSpace(dim,K):Exports == Implementation where + dim:NonNegativeInteger + K:Field + + LIST ==> List + NNI ==> NonNegativeInteger + + Exports ==> AffineSpaceCategory(K) + + Implementation ==> List(K) add + + Rep:= List(K) + + origin== new(dim,0$K)$List(K) + + coerce(pt:%):OutputForm == + dd:OutputForm:= ":" :: OutputForm + llout:List(OutputForm):=[ hconcat(dd, a::OutputForm) for a in rest pt] + lout:= cons( (first pt)::OutputForm , llout) + out:= hconcat lout + oo:=paren(out) + ee:OutputForm:= degree(pt) :: OutputForm + oo**ee + + definingField(pt)== + K has PseudoAlgebraicClosureOfPerfectFieldCategory => _ + maxTower(pt pretend Rep) + 1$K + + degree(pt)== + K has PseudoAlgebraicClosureOfPerfectFieldCategory => _ + extDegree definingField pt + 1 + + coerce(pt:%):List(K) == pt pretend Rep + + affinePoint(pt:LIST(K))== + pt :: % + + list(ptt)== + ptt pretend Rep + + pointValue(ptt)== + ptt pretend Rep + + conjugate(p,e)== + lp:Rep:=p + pc:List(K):=[c**e for c in lp] + affinePoint(pc) + + rational?(p,n)== p=conjugate(p,n) + + rational?(p)==rational?(p,characteristic()$K) + + removeConjugate(l)==removeConjugate(l,characteristic()$K) + + removeConjugate(l:LIST(%),n:NNI):LIST(%)== + if K has FiniteFieldCategory then + allconj:LIST(%):=empty() + conjrem:LIST(%):=empty() + for p in l repeat + if ^member?(p,allconj) then + conjrem:=cons(p,conjrem) + allconj:=concat(allconj,orbit(p,n)) + conjrem + else + error "The field is not finite" + + conjugate(p)==conjugate(p,characteristic()$K) + + orbit(p)==orbit(p,characteristic()$K) + + orbit(p,e)== + if K has FiniteFieldCategory then + l:LIST(%):=[p] + np:%:=conjugate(p,e) + flag:=^(np=p)::Boolean + while flag repeat + l:=concat(np,l) + np:=conjugate(np,e) + flag:=not (np=p)::Boolean + l + else + error "Cannot compute the conjugate" + + aa:% = bb:% == + aa =$Rep bb + + coerce(pt:LIST(K))== + ^(dim=#pt) => error "Le point n'a pas la bonne dimension" + ptt:%:= pt + ptt + +@ +<>= +"AFFSP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=AFFSP"]; +"PACPERC" [color=lightblue,href="bookvol10.2.pdf#nameddest=PACPERC"]; +"FPC" [color=lightblue,href="bookvol10.2.pdf#nameddest=FPC"]; +"AFFSP" -> "FPC" +"AFFSP" -> "PACPERC" + +@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{domain ALGSC AlgebraGivenByStructuralConstants} \pagehead{AlgebraGivenByStructuralConstants}{ALGSC} \pagepic{ps/v103algebragivenbystructuralconstants.ps}{ALGSC}{1.00} @@ -64841,7 +65022,7 @@ o )show NeitherSparseOrDensePowerSeries \begin{tabular}{lll} \cross{NSDPS}{0} & \cross{NSDPS}{1} & -\cross{NSDPS}{#?} \\ +\cross{NSDPS}{\#{}?} \\ \cross{NSDPS}{-?} & \cross{NSDPS}{?**?} & \cross{NSDPS}{?*?} \\ @@ -124811,6 +124992,7 @@ Note that this code is not included in the generated catdef.spad file. \chapter{Chunk collections} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% <>= +<> <> <> <> diff --git a/books/bookvol5.pamphlet b/books/bookvol5.pamphlet index ebd30f9..49fa596 100644 --- a/books/bookvol5.pamphlet +++ b/books/bookvol5.pamphlet @@ -23829,6 +23829,7 @@ otherwise the new algebra won't be loaded by the interpreter when needed. '( ;;define the groups |basic| |naglink| |anna| |categories| |Hidden| |defaults| (|basic| + (|AffineSpace| . AFFSP) (|AlgebraicManipulations| . ALGMANIP) (|AlgebraicNumber| . AN) (|AlgFactor| . ALGFACT) diff --git a/books/ps/v103affinespace.ps b/books/ps/v103affinespace.ps new file mode 100644 index 0000000..b801a01 --- /dev/null +++ b/books/ps/v103affinespace.ps @@ -0,0 +1,313 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: Graphviz version 2.20.2 (Mon Mar 30 10:09:11 UTC 2009) +%%For: (root) root +%%Title: pic +%%Pages: (atend) +%%BoundingBox: (atend) +%%EndComments +save +%%BeginProlog +/DotDict 200 dict def +DotDict begin + +/setupLatin1 { +mark +/EncodingVector 256 array def + EncodingVector 0 + +ISOLatin1Encoding 0 255 getinterval putinterval +EncodingVector 45 /hyphen put + +% Set up ISO Latin 1 character encoding +/starnetISO { + dup dup findfont dup length dict begin + { 1 index /FID ne { def }{ pop pop } ifelse + } forall + /Encoding EncodingVector def + currentdict end definefont +} def +/Times-Roman starnetISO def +/Times-Italic starnetISO def +/Times-Bold starnetISO def +/Times-BoldItalic starnetISO def +/Helvetica starnetISO def +/Helvetica-Oblique starnetISO def 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+/layercolorseq + [ % layer color sequence - darkest to lightest + [0 0 0] + [.2 .8 .8] + [.4 .8 .8] + [.6 .8 .8] + [.8 .8 .8] + ] +def + +/layerlen layercolorseq length def + +/setlayer {/maxlayer exch def /curlayer exch def + layercolorseq curlayer 1 sub layerlen mod get + aload pop sethsbcolor + /nodecolor {nopcolor} def + /edgecolor {nopcolor} def + /graphcolor {nopcolor} def +} bind def + +/onlayer { curlayer ne {invis} if } def + +/onlayers { + /myupper exch def + /mylower exch def + curlayer mylower lt + curlayer myupper gt + or + {invis} if +} def + +/curlayer 0 def + +%%EndResource +%%EndProlog +%%BeginSetup +14 default-font-family set_font +1 setmiterlimit +% /arrowlength 10 def +% /arrowwidth 5 def + +% make sure pdfmark is harmless for PS-interpreters other than Distiller +/pdfmark where {pop} {userdict /pdfmark /cleartomark load put} ifelse +% make '<<' and '>>' safe on PS Level 1 devices +/languagelevel where {pop languagelevel}{1} ifelse +2 lt { + userdict (<<) cvn ([) 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AffineSpace +20100516 tpd books/ps/v103affinespace.ps added 20100516 tpd src/axiom-website/patches.html 20100516.02.tpd.patch 20100516 tpd books/bookvol10.2 fix NNI and export list typos 20100516 tpd src/axiom-website/patches.html 20100516.01.tpd.patch diff --git a/src/algebra/Makefile.pamphlet b/src/algebra/Makefile.pamphlet index a0a69b6..ccb04b3 100644 --- a/src/algebra/Makefile.pamphlet +++ b/src/algebra/Makefile.pamphlet @@ -3649,11 +3649,12 @@ LAYER7=\ @ \subsection{Layer8} Depends on: A1AGG A1AGG- ARR2CAT FAMR FPC LIECAT LZSTAGG OREPCAT PSCAT -TRANFUN VSPACE XPOLYC\\ +TRANFUN VSPACE XPOLYC PACPERC\\ Used by next layer: BTAGG FLALG MATCAT SRAGG VECTCAT <>= LAYER8=\ + ${OUT}/AFFSP.o \ ${OUT}/APPLYORE.o ${OUT}/ARRAY1.o ${OUT}/ARRAY12.o ${OUT}/ARRAY2.o \ ${OUT}/ASTACK.o ${OUT}/BTAGG.o ${OUT}/BTAGG-.o ${OUT}/COMBINAT.o \ ${OUT}/CSTTOOLS.o ${OUT}/D01FCFA.o ${OUT}/E04MBFA.o ${OUT}/FAMR2.o \ @@ -3676,7 +3677,24 @@ LAYER8=\ <>= /* layer 8 */ /* depends on: A1AGG A1AGG- ARR2CAT FAMR FPC LIECAT LZSTAGG OREPCAT PSCAT */ -/* TRANFUN VSPACE XPOLYC */ +/* TRANFUN VSPACE XPOLYC PACPREC */ + +"AFFSP" [color="#88FF44",href="bookvol10.3.pdf#nameddest=AFFSP"] +/*"AFFSP" -> {"AFSPCAT"; "SETCATD"; "SETCAT"; "BASTYPE"; "KOERCE"; "FIELD"}*/ +/*"AFFSP" -> {"EUCDOM"; "PID"; "GCDDOM"; "INTDOM"; "COMRING"; "RING"; "RNG"}*/ +/*"AFFSP" -> {"ABELGRP"; "CABMON"; "ABELMON"; "ABELSG"; "SGROUP"; "MONOID"}*/ +/*"AFFSP" -> {"LMODULE"; "BMODULE"; "RMODULE"; "ALGEBRA"; "MODULE"}*/ +/*"AFFSP" -> {"ENTIRER"; "UFD"; "DIVRING"; "INT"; "LIST"; "ILIST"; "LSAGG-"}*/ +/*"AFFSP" -> {"PI"; "NNI"; "FFIELDC"}*/ +"AFFSP" -> "FPC" +"AFFSP" -> "PACPERC" +/*"AFFSP" -> {"CHARNZ"; "FINITE"; "STEP"; "DIFRING"; "STAGG-"; "ELAGG-"}*/ +/*"AFFSP" -> {"FLAGG-"; "URAGG-"; "LNAGG-"; "RCAGG-"; "IXAGG-"; "CLAGG-"}*/ +/*"AFFSP" -> {"HOAGG-"; "ORDSET-"; "AGG-"; "ELTAGG-"; "SETCAT-"; "BASTYPE-"}*/ +/*"AFFSP" -> {"LSAGG"; "STAGG"; "URAGG"; "RCAGG"; "HOAGG"; "AGG"; "TYPE"}*/ +/*"AFFSP" -> {"EVALAB"; "IEVALAB"; "LNAGG"; "IXAGG"; "ELTAGG"; "ELTAB"}*/ +/*"AFFSP" -> {"CLAGG"; "KONVERT"; "FLAGG"; "ORDSET"; "ELAGG"; "OM"}*/ +/*"AFFSP" -> {"BOOLEAN"}*/ "APPLYORE" [color="#FF4488",href="bookvol10.4.pdf#nameddest=APPLYORE"] /*"APPLYORE" -> {"RING"; "RNG"; "ABELGRP"; "CABMON"; "ABELMON"; "ABELSG"}*/ @@ -16373,6 +16391,21 @@ ${MID}/AFSPCAT.nrlib/code.o: ${MID}/AFSPCAT.spad | ${INTERPSYS} >${TMP}/trace ; \ fi ) @ +<>= + +AFFSPDEPS = SETCATD AFSPCAT PACPERC + +${MID}/AFFSP.nrlib/code.o: ${MID}/AFFSP.spad + @echo P3 making ${MID}/AFFSP.nrlib/code.o from ${MID}/AFFSP.spad + @ (cd ${MID} ; \ + if [ -z "${NOISE}" ] ; then \ + echo -e ")lib ${AFFSPDEPS} \n )co AFFSP.spad" \ + | ${INTERPSYS} ; \ + else \ + echo -e ")lib ${AFFSPDEPS} \n )co AFFSP.spad" \ + | ${INTERPSYS} >${TMP}/trace ; \ + fi ) +@ \section{Broken Files} These files are Aldor files @@ -17077,6 +17110,7 @@ This keeps the regression test list in the algebra Makefile. HELPFILE=${HELP}/help.help SPADHELP=\ + ${HELP}/AffineSpace.help \ ${HELP}/AffineSpaceCategory.help \ ${HELP}/AlgebraicallyClosedField.help \ ${HELP}/Any.help \ @@ -17259,6 +17293,7 @@ is put into a int/Makefile.algebra and then executed by make. TESTSYS= ${OBJ}/${SYS}/bin/interpsys REGRESS= \ + AffineSpace.regress \ AffineSpaceCategory.regress \ AlgebraicallyClosedField.regress \ Any.regress \ @@ -17440,8 +17475,20 @@ all: ${REGRESS} @echo algebra test cases complete. @ <>= +${HELP}/AffineSpace.help: ${BOOKS}/bookvol10.3.pamphlet + @echo 7000 create AffineSpace.help from \ + ${BOOKS}/bookvol10.3.pamphlet + @${TANGLE} -R"AffineSpace.help" \ + ${BOOKS}/bookvol10.3.pamphlet \ + >${HELP}/AffineSpace.help + @cp ${HELP}/AffineSpace.help ${HELP}/AFFSP.help + @${TANGLE} -R"AffineSpace.input" \ + ${BOOKS}/bookvol10.3.pamphlet \ + >${INPUT}/AffineSpace.input + @echo "AffineSpace (AFFSP)" >>${HELPFILE} + ${HELP}/AffineSpaceCategory.help: ${BOOKS}/bookvol10.2.pamphlet - @echo 7000 create AffineSpaceCategory.help from \ + @echo 7001 create AffineSpaceCategory.help from \ ${BOOKS}/bookvol10.2.pamphlet @${TANGLE} -R"AffineSpaceCategory.help" \ ${BOOKS}/bookvol10.2.pamphlet \ @@ -17453,7 +17500,7 @@ ${HELP}/AffineSpaceCategory.help: ${BOOKS}/bookvol10.2.pamphlet @echo "AffineSpaceCategory (AFSPCAT)" >>${HELPFILE} ${HELP}/AlgebraicallyClosedField.help: ${BOOKS}/bookvol10.2.pamphlet - @echo 7001 create AlgebraicallyClosedField.help from \ + @echo 7002 create AlgebraicallyClosedField.help from \ ${BOOKS}/bookvol10.2.pamphlet @${TANGLE} -R"AlgebraicallyClosedField.help" \ ${BOOKS}/bookvol10.2.pamphlet \ @@ -17465,7 +17512,7 @@ ${HELP}/AlgebraicallyClosedField.help: ${BOOKS}/bookvol10.2.pamphlet @echo "AlgebraicallyClosedField (ACF)" >>${HELPFILE} ${HELP}/Any.help: ${BOOKS}/bookvol10.3.pamphlet - @echo 7002 create Any.help from ${BOOKS}/bookvol10.3.pamphlet + @echo 7003 create Any.help from ${BOOKS}/bookvol10.3.pamphlet @${TANGLE} -R"Any.help" ${BOOKS}/bookvol10.3.pamphlet >${HELP}/Any.help @cp ${HELP}/Any.help ${HELP}/ANY.help @${TANGLE} -R"Any.input" ${BOOKS}/bookvol10.3.pamphlet \ diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 5b529dd..41c163d 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2729,5 +2729,7 @@ books/bookvol10.3 ProjectivePlaneOverPseudoAlgebraicClosureOfFiniteField
books/bookvol10.2 add AffineSpaceCategory
20100516.02.tpd.patch books/bookvol10.2 fix NNI and export list typos
+20100516.03.tpd.patch +books/bookvol10.3 add AffineSpace