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|
###########################################################################
##
#W omput.gd OpenMath Package Andrew Solomon
#W Marco Costantini
#W Alexander Konovalov
##
#Y Copyright (C) 1999, 2000, 2001, 2006
#Y School Math and Comp. Sci., University of St. Andrews, Scotland
#Y Copyright (C) 2004, 2005, 2006 Marco Costantini
##
## Writes a GAP object to an output stream, as an OpenMath object
##
###########################################################################
DeclareGlobalVariable("OpenMathRealRandomSource");
###########################################################################
##
## Declarations for OpenMathWriter
##
## <#GAPDoc Label="IsOpenMathWriter">
## <ManSection>
## <Filt Name="IsOpenMathWriter" Type="Category" />
## <Filt Name="IsOpenMathXMLWriter" Type="Category" />
## <Filt Name="IsOpenMathBinaryWriter" Type="Category" />
## <Description>
## <Ref Filt="IsOpenMathWriter"/>is a category for &OpenMath; writers.
## It has two subcategories: <Ref Filt="IsOpenMathXMLWriter"/> and
## <Ref Filt="IsOpenMathBinaryWriter"/>.
## </Description>
## </ManSection>
## <#/GAPDoc>
DeclareCategory( "IsOpenMathWriter", IsObject );
DeclareCategory( "IsOpenMathXMLWriter", IsOpenMathWriter );
DeclareCategory( "IsOpenMathBinaryWriter", IsOpenMathWriter );
OpenMathWritersFamily := NewFamily( "OpenMathWritersFamily" );
###########################################################################
##
## <#GAPDoc Label="OpenMathBinaryWriter">
## <ManSection>
## <Func Name="OpenMathBinaryWriter" Arg="s" />
## <Description>
## for a stream <A>s</A>, returns an object in the category
## <Ref Filt="OpenMathBinaryWriter"/>.
## </Description>
## </ManSection>
## <#/GAPDoc>
DeclareGlobalFunction ( "OpenMathBinaryWriter" );
###########################################################################
##
## <#GAPDoc Label="OpenMathXMLWriter">
## <ManSection>
## <Func Name="OpenMathXMLWriter" Arg="s" />
## <Description>
## for a stream <A>s</A>, returns an object in the category
## <Ref Filt="IsOpenMathXMLWriter"/>.
## </Description>
## </ManSection>
## <#/GAPDoc>
DeclareGlobalFunction ( "OpenMathXMLWriter" );
DeclareRepresentation( "IsOpenMathWriterRep", IsPositionalObjectRep, [ ] );
OpenMathBinaryWriterType := NewType( OpenMathWritersFamily,
IsOpenMathWriterRep and IsOpenMathBinaryWriter );
OpenMathXMLWriterType := NewType( OpenMathWritersFamily,
IsOpenMathWriterRep and IsOpenMathXMLWriter );
###########################################################################
##
#F OMPutObject( <stream>, <obj> )
#F OMPutObjectNoOMOBJtags( <stream>, <obj> )
##
## <#GAPDoc Label="OMPutObject">
##
## <ManSection>
## <Func Name="OMPutObject" Arg="stream obj" />
## <Func Name="OMPutObjectNoOMOBJtags" Arg="stream obj" />
## <Description>
## <Ref Func="OMPutObject" /> writes (appends) the XML &OpenMath;
## encoding of the &GAP; object <A>obj</A> to output stream <A>stream</A>
## (see <Ref BookName="ref" Oper="InputTextFile" />,
## <Ref BookName="ref" Oper="OutputTextUser" />,
## <Ref BookName="ref" Oper="OutputTextString" />,
## <Ref BookName="scscp" Oper="InputOutputTCPStream" Label="for client" />,
## <Ref BookName="scscp" Oper="InputOutputTCPStream" Label="for server" />).
## <P/>
## The second version does the same but without <OMOBJ>
## tags, what may be useful for assembling complex &OpenMath; objects.
## <Example>
## <![CDATA[
## gap> g := [[1,2],[1,0]];;
## gap> t := "";
## ""
## gap> s := OutputTextString(t, true);;
## gap> w:=OpenMathXMLWriter( s );
## <OpenMath XML writer to OutputTextString(0)>
## gap> OMPutObject(w, g);
## gap> CloseStream(s);
## gap> Print(t);
## <OMOBJ>
## <OMA>
## <OMS cd="linalg2" name="matrix"/>
## <OMA>
## <OMS cd="linalg2" name="matrixrow"/>
## <OMI>1</OMI>
## <OMI>2</OMI>
## </OMA>
## <OMA>
## <OMS cd="linalg2" name="matrixrow"/>
## <OMI>1</OMI>
## <OMI>0</OMI>
## </OMA>
## </OMA>
## </OMOBJ>
## ]]>
## </Example>
##
## </Description>
## </ManSection>
## <#/GAPDoc>
##
DeclareGlobalFunction("OMPutObject");
DeclareGlobalFunction("OMPutObjectNoOMOBJtags");
DeclareOperation("OMPutOMOBJ", [ IsOpenMathWriter ] );
DeclareOperation("OMPutEndOMOBJ", [ IsOpenMathWriter ] );
###########################################################################
##
#O OMPut(<stream>,<obj> )
##
##
DeclareOperation("OMPut", [IsOpenMathWriter, IsObject ]);
###########################################################################
##
#F OMPrint( <obj> ) ................. Print <obj> as OpenMath object
##
## <#GAPDoc Label="OMPrint">
## <ManSection>
## <Func Name="OMPrint" Arg="obj" />
## <Description>
## OMPrint writes the default XML &OpenMath; encoding of &GAP;
## object <A>obj</A> to the standard output.
## <P/>
## One can try it with different &GAP; objects to see if they
## can be converted to &OpenMath; and learn how their &OpenMath;
## representation looks like. Here we show the encoding for lists
## of integers and rationals:
## <Example>
## <![CDATA[
## gap> OMPrint( [ 1, 1/2 ] );
## <OMOBJ>
## <OMA>
## <OMS cd="list1" name="list"/>
## <OMI>1</OMI>
## <OMA>
## <OMS cd="nums1" name="rational"/>
## <OMI>1</OMI>
## <OMI>2</OMI>
## </OMA>
## </OMA>
## </OMOBJ>
## ]]>
## </Example>
## Strings are encoded using <C><OMSTR></C> tags:
## <Example>
## <![CDATA[
## gap> OMPrint( "This is a string" );
## <OMOBJ>
## <OMSTR>This is a string</OMSTR>
## </OMOBJ>
## ]]>
## </Example>
## Cyclotomics may be encoded in different ways dependently on their properties:
## <Example>
## <![CDATA[
## gap> OMPrint( 1-2*E(4) );
## <OMOBJ>
## <OMA>
## <OMS cd="complex1" name="complex_cartesian"/>
## <OMI>1</OMI>
## <OMI>-2</OMI>
## </OMA>
## </OMOBJ>
## gap> OMPrint(E(3));
## <OMOBJ>
## <OMA>
## <OMS cd="arith1" name="plus"/>
## <OMA>
## <OMS cd="arith1" name="times"/>
## <OMI>1</OMI>
## <OMA>
## <OMS cd="algnums" name="NthRootOfUnity"/>
## <OMI>3</OMI>
## <OMI>1</OMI>
## </OMA>
## </OMA>
## </OMA>
## </OMOBJ>
## ]]>
## </Example>
## Various encodings may be used for various types of groups:
## <Example>
## <![CDATA[
## gap> OMPrint( Group( (1,2) ) );
## <OMOBJ>
## <OMA>
## <OMS cd="permgp1" name="group"/>
## <OMS cd="permutation1" name="right_compose"/>
## <OMA>
## <OMS cd="permut1" name="permutation"/>
## <OMI>2</OMI>
## <OMI>1</OMI>
## </OMA>
## </OMA>
## </OMOBJ>
## gap> OMPrint( Group( [ [ [ 1, 2 ],[ 0, 1 ] ] ] ) );
## <OMOBJ>
## <OMA>
## <OMS cd="group1" name="group_by_generators"/>
## <OMA>
## <OMS cd="linalg2" name="matrix"/>
## <OMA>
## <OMS cd="linalg2" name="matrixrow"/>
## <OMI>1</OMI>
## <OMI>2</OMI>
## </OMA>
## <OMA>
## <OMS cd="linalg2" name="matrixrow"/>
## <OMI>0</OMI>
## <OMI>1</OMI>
## </OMA>
## </OMA>
## </OMA>
## </OMOBJ>
## gap> OMPrint( FreeGroup( 2 ) );
## <OMOBJ>
## <OMA>
## <OMS cd="fpgroup1" name="free_groupn"/>
## <OMI>2</OMI>
## </OMA>
## </OMOBJ>
## ]]>
## </Example>
## </Description>
## </ManSection>
## <#/GAPDoc>
##
DeclareGlobalFunction("OMPrint");
###########################################################################
##
## OMString( <obj> ) ........ returns string with <obj> as OpenMath object
##
## <#GAPDoc Label="OMString">
## <ManSection>
## <Func Name="OMString" Arg="obj" />
## <Description>
## OMString returns a string with the default XML &OpenMath;
## encoding of &GAP; object <A>obj</A>.
## If used with the <K>noomobj</K> option, then initial and
## final <OMOBJ> tags will be omitted.
## <Example>
## <![CDATA[
## gap> OMString(42);
## "<OMOBJ> <OMI>42</OMI> </OMOBJ>"
## gap> OMString([1,2]:noomobj);
## "<OMA> <OMS cd=\"list1\" name=\"list\"/> <OMI>1</OMI> <OMI>2</OMI> </OMA>"
## ]]>
## </Example>
## </Description>
## </ManSection>
## <#/GAPDoc>
##
DeclareGlobalFunction("OMString");
###########################################################################
##
#F OMWriteLine( <stream>, <list> )
##
## Auxiliary function for OMPut functions.
## Takes a list of string arguments and outputs them
## to a single line with the correct indentation.
##
## Input : List of arguments to print
## Output: \t ^ OMIndent, arguments
##
DeclareGlobalFunction("OMWriteLine");
###########################################################################
##
#F OMPutSymbol( <stream>, <cd>, <name> )
##
## Input : cd, name as strings
## Output: <OMS cd="<cd>" name="<name>" />
##
DeclareOperation("OMPutSymbol", [ IsOpenMathWriter, IsString, IsString ] );
###########################################################################
##
#F OMPutForeign( <stream>, <encoding>, <string> )
##
## Input : encoding and string representing the foreighn object
##
DeclareOperation("OMPutForeign", [ IsOpenMathWriter, IsString, IsString ] );
###########################################################################
##
#F OMPutVar( <stream>, <name> )
##
## Input : name as string
## Output: <OMV name="<name>" />
##
DeclareOperation("OMPutVar", [ IsOpenMathWriter, IsObject ] );
###########################################################################
##
#M OMPutApplication( <stream>, <cd>, <name>, <list> )
##
## Input : cd, name as strings, list as a list
## Output:
## <OMA>
## <OMS cd=<cd> name=<name>/>
## OMPut(<list>[1])
## OMPut(<list>[2])
## ...
## </OMA>
##
DeclareGlobalFunction("OMPutApplication");
DeclareOperation("OMPutOMA", [ IsOpenMathWriter ] );
DeclareOperation("OMPutOMAWithId", [ IsOpenMathWriter , IsString ] );
DeclareOperation("OMPutEndOMA", [ IsOpenMathWriter ] );
###########################################################################
##
## Tags for attributions and attribution pairs
##
DeclareOperation("OMPutOMATTR", [ IsOpenMathWriter ] );
DeclareOperation("OMPutEndOMATTR", [ IsOpenMathWriter ] );
DeclareOperation("OMPutOMATP", [ IsOpenMathWriter ] );
DeclareOperation("OMPutEndOMATP", [ IsOpenMathWriter ] );
###########################################################################
##
#M OMPutBinding( <stream>, <cd>, <name>, <listbvars>, <object> )
##
## Input : cd, name, list of bvars, object
## Output:
## <OMBIND>
## <OMS cd=<cd> name=<name>/>
## OMPut(<list>[1])
## OMPut(<object)
## ...
## </OMBIND>
##
#DeclareGlobalFunction("OMPutBinding");
DeclareOperation("OMPutOMBIND", [ IsOpenMathWriter ] );
DeclareOperation("OMPutOMBINDWithId", [ IsOpenMathWriter , IsString ] );
DeclareOperation("OMPutEndOMBIND", [ IsOpenMathWriter ] );
###########################################################################
##
## Tags for binding vars
##
DeclareOperation("OMPutOMBVAR", [ IsOpenMathWriter ] );
DeclareOperation("OMPutEndOMBVAR", [ IsOpenMathWriter ] );
###########################################################################
##
#M OMPutError( <stream>, <cd>, <name>, <list> )
##
## Input : cd, name as strings, list as a list
## Output:
## <OME>
## <OMS cd=<cd> name=<name>/>
## OMPut(<list>[1])
## OMPut(<list>[2])
## ...
## </OME>
##
DeclareGlobalFunction("OMPutError");
DeclareOperation("OMPutOME", [ IsOpenMathWriter ] );
DeclareOperation("OMPutEndOME", [ IsOpenMathWriter ] );
DeclareAttribute( "OMReference", IsObject );
DeclareOperation( "OMPutReference", [ IsOpenMathWriter, IsObject ] );
###########################################################################
##
#O OMPutByteArray( <stream>, <bitlist> )
##
## Put bitlists into byte arrays
##
DeclareGlobalFunction("OMPutByteArray");
###########################################################################
##
#O OMPutList(<stream>,<obj> )
##
## Tries to render this as an OpenMath list
##
DeclareOperation("OMPutList", [ IsOpenMathWriter, IsObject ]);
# Determines the indentation of the next line to be printed.
OMIndent := 0;
###########################################################################
#
# Declarations for OMPlainString objects
#
## <#GAPDoc Label="OMPlainString">
## <ManSection>
## <Func Name="OMPlainString" Arg="string" />
## <Description>
## <Ref Func="OMPlainString" /> wraps the string into a &GAP; object of a
## special kind called an &OpenMath; plain string. Internally such object is
## represented as a string, but <Ref Func="OMPutObject" /> threat it in a
## different way: instead of converting it into a <OMSTR> object, an
## &OpenMath; plain string will be plainly substituted into the output (this
## explains its name) without decorating it with <OMSTR> tags.
## <P/>
## It is assumed that &OpenMath; plain string contains valid &OpenMath; code;
## no actual validation is performed during its creation. Such functionality
## may be useful to compose some &OpenMath; code at the &GAP; level to
## communicate it to the other system, in particular, to send there symbols
## which are not supported by &GAP;, for example:
## <Example>
## <![CDATA[
## gap> s:=OMPlainString("<OMS cd=\"nums1\" name=\"pi\"/>");
## <OMS cd="nums1" name="pi"/>
## gap> OMPrint(s);
## <OMOBJ>
## <OMS cd="nums1" name="pi"/>
## </OMOBJ>
## ]]>
## </Example>
##
## </Description>
## </ManSection>
## <#/GAPDoc>
##
DeclareCategory( "IsOMPlainString", IsObject );
OMPlainStringsFamily := NewFamily( "OMPlainStringsFamily" );
DeclareGlobalFunction ( "OMPlainString" );
DeclareRepresentation( "IsOMPlainStringRep", IsPositionalObjectRep, [ ] );
OMPlainStringDefaultType := NewType( OMPlainStringsFamily,
IsOMPlainStringRep and IsOMPlainString );
###########################################################################
#E
|
