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author | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
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committer | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
commit | ab8cc85adde879fb963c94d15675783f2cf4b183 (patch) | |
tree | c202482327f474583b750b2c45dedfc4e4312b1d /src/algebra/fortcat.spad.pamphlet | |
download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz |
Initial population.
Diffstat (limited to 'src/algebra/fortcat.spad.pamphlet')
-rw-r--r-- | src/algebra/fortcat.spad.pamphlet | 345 |
1 files changed, 345 insertions, 0 deletions
diff --git a/src/algebra/fortcat.spad.pamphlet b/src/algebra/fortcat.spad.pamphlet new file mode 100644 index 00000000..16daa51d --- /dev/null +++ b/src/algebra/fortcat.spad.pamphlet @@ -0,0 +1,345 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/algebra fortcat.spad} +\author{Mike Dewar} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{category FORTFN FortranFunctionCategory} +<<category FORTFN FortranFunctionCategory>>= +)abbrev category FORTFN FortranFunctionCategory +++ Author: Mike Dewar +++ Date Created: 13 January 1994 +++ Date Last Updated: 18 March 1994 +++ Related Constructors: FortranProgramCategory. +++ Description: +++ \axiomType{FortranFunctionCategory} is the category of arguments to +++ NAG Library routines which return (sets of) function values. +FortranFunctionCategory():Category == FortranProgramCategory with + coerce : List FortranCode -> $ + ++ coerce(e) takes an object from \spadtype{List FortranCode} and + ++ uses it as the body of an ASP. + coerce : FortranCode -> $ + ++ coerce(e) takes an object from \spadtype{FortranCode} and + ++ uses it as the body of an ASP. + coerce : Record(localSymbols:SymbolTable,code:List(FortranCode)) -> $ + ++ coerce(e) takes the component of \spad{e} from + ++ \spadtype{List FortranCode} and uses it as the body of the ASP, + ++ making the declarations in the \spadtype{SymbolTable} component. + retract : Expression Float -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Expression Float -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Expression Integer -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Expression Integer -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Polynomial Float -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Polynomial Float -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Polynomial Integer -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Polynomial Integer -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Fraction Polynomial Float -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Fraction Polynomial Float -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Fraction Polynomial Integer -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Fraction Polynomial Integer -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + + -- NB: These ASPs also have a coerce from an appropriate instantiation + -- of FortranExpression. + + +@ +\section{category FMC FortranMatrixCategory} +<<category FMC FortranMatrixCategory>>= +)abbrev category FMC FortranMatrixCategory +++ Author: Mike Dewar +++ Date Created: 21 March 1994 +++ Date Last Updated: +++ Related Constructors: FortranProgramCategory. +++ Description: +++ \axiomType{FortranMatrixCategory} provides support for +++ producing Functions and Subroutines when the input to these +++ is an AXIOM object of type \axiomType{Matrix} or in domains +++ involving \axiomType{FortranCode}. +FortranMatrixCategory():Category == FortranProgramCategory with + coerce : Matrix MachineFloat -> $ + ++ coerce(v) produces an ASP which returns the value of \spad{v}. + coerce : List FortranCode -> $ + ++ coerce(e) takes an object from \spadtype{List FortranCode} and + ++ uses it as the body of an ASP. + coerce : FortranCode -> $ + ++ coerce(e) takes an object from \spadtype{FortranCode} and + ++ uses it as the body of an ASP. + coerce : Record(localSymbols:SymbolTable,code:List(FortranCode)) -> $ + ++ coerce(e) takes the component of \spad{e} from + ++ \spadtype{List FortranCode} and uses it as the body of the ASP, + ++ making the declarations in the \spadtype{SymbolTable} component. + +@ +\section{category FORTCAT FortranProgramCategory} +<<category FORTCAT FortranProgramCategory>>= +)abbrev category FORTCAT FortranProgramCategory +++ Author: Mike Dewar +++ Date Created: November 1992 +++ Date Last Updated: +++ Basic Operations: +++ Related Constructors: FortranType, FortranCode, Switch +++ Also See: +++ AMS Classifications: +++ Keywords: +++ References: +++ Description: +++ \axiomType{FortranProgramCategory} provides various models of +++ FORTRAN subprograms. These can be transformed into actual FORTRAN +++ code. +FortranProgramCategory():Category == Join(Type,CoercibleTo OutputForm) with + outputAsFortran : $ -> Void + ++ \axiom{outputAsFortran(u)} translates \axiom{u} into a legal FORTRAN + ++ subprogram. + +@ +\section{category FVC FortranVectorCategory} +<<category FVC FortranVectorCategory>>= +)abbrev category FVC FortranVectorCategory +++ Author: Mike Dewar +++ Date Created: October 1993 +++ Date Last Updated: 18 March 1994 +++ Related Constructors: FortranProgramCategory. +++ Description: +++ \axiomType{FortranVectorCategory} provides support for +++ producing Functions and Subroutines when the input to these +++ is an AXIOM object of type \axiomType{Vector} or in domains +++ involving \axiomType{FortranCode}. +FortranVectorCategory():Category == FortranProgramCategory with + coerce : Vector MachineFloat -> $ + ++ coerce(v) produces an ASP which returns the value of \spad{v}. + coerce : List FortranCode -> $ + ++ coerce(e) takes an object from \spadtype{List FortranCode} and + ++ uses it as the body of an ASP. + coerce : FortranCode -> $ + ++ coerce(e) takes an object from \spadtype{FortranCode} and + ++ uses it as the body of an ASP. + coerce : Record(localSymbols:SymbolTable,code:List(FortranCode)) -> $ + ++ coerce(e) takes the component of \spad{e} from + ++ \spadtype{List FortranCode} and uses it as the body of the ASP, + ++ making the declarations in the \spadtype{SymbolTable} component. + +@ +\section{category FMTC FortranMachineTypeCategory} +<<category FMTC FortranMachineTypeCategory>>= +)abbrev category FMTC FortranMachineTypeCategory +++ Author: Mike Dewar +++ Date Created: December 1993 +++ Date Last Updated: +++ Basic Operations: +++ Related Domains: +++ Also See: FortranExpression, MachineInteger, MachineFloat, MachineComplex +++ AMS Classifications: +++ Keywords: +++ Examples: +++ References: +++ Description: A category of domains which model machine arithmetic +++ used by machines in the AXIOM-NAG link. +FortranMachineTypeCategory():Category == Join(IntegralDomain,OrderedSet, + RetractableTo(Integer) ) + +@ +\section{category FMFUN FortranMatrixFunctionCategory} +<<category FMFUN FortranMatrixFunctionCategory>>= +)abbrev category FMFUN FortranMatrixFunctionCategory +++ Author: Mike Dewar +++ Date Created: March 18 1994 +++ Date Last Updated: +++ Related Constructors: FortranProgramCategory. +++ Description: +++ \axiomType{FortranMatrixFunctionCategory} provides support for +++ producing Functions and Subroutines representing matrices of +++ expressions. + +FortranMatrixFunctionCategory():Category == FortranProgramCategory with + coerce : List FortranCode -> $ + ++ coerce(e) takes an object from \spadtype{List FortranCode} and + ++ uses it as the body of an ASP. + coerce : FortranCode -> $ + ++ coerce(e) takes an object from \spadtype{FortranCode} and + ++ uses it as the body of an ASP. + coerce : Record(localSymbols:SymbolTable,code:List(FortranCode)) -> $ + ++ coerce(e) takes the component of \spad{e} from + ++ \spadtype{List FortranCode} and uses it as the body of the ASP, + ++ making the declarations in the \spadtype{SymbolTable} component. + retract : Matrix Expression Float -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Matrix Expression Float -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Matrix Expression Integer -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Matrix Expression Integer -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Matrix Polynomial Float -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Matrix Polynomial Float -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Matrix Polynomial Integer -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Matrix Polynomial Integer -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Matrix Fraction Polynomial Float -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Matrix Fraction Polynomial Float -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Matrix Fraction Polynomial Integer -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Matrix Fraction Polynomial Integer -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + + -- NB: These ASPs also have a coerce from an appropriate instantiation + -- of Matrix FortranExpression. + +@ +\section{category FVFUN FortranVectorFunctionCategory} +<<category FVFUN FortranVectorFunctionCategory>>= +)abbrev category FVFUN FortranVectorFunctionCategory +++ Author: Mike Dewar +++ Date Created: 11 March 1994 +++ Date Last Updated: 18 March 1994 +++ Related Constructors: FortranProgramCategory. +++ Description: +++ \axiomType{FortranVectorFunctionCategory} is the catagory of arguments +++ to NAG Library routines which return the values of vectors of functions. +FortranVectorFunctionCategory():Category == FortranProgramCategory with + coerce : List FortranCode -> $ + ++ coerce(e) takes an object from \spadtype{List FortranCode} and + ++ uses it as the body of an ASP. + coerce : FortranCode -> $ + ++ coerce(e) takes an object from \spadtype{FortranCode} and + ++ uses it as the body of an ASP. + coerce : Record(localSymbols:SymbolTable,code:List(FortranCode)) -> $ + ++ coerce(e) takes the component of \spad{e} from + ++ \spadtype{List FortranCode} and uses it as the body of the ASP, + ++ making the declarations in the \spadtype{SymbolTable} component. + retract : Vector Expression Float -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Vector Expression Float -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Vector Expression Integer -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Vector Expression Integer -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Vector Polynomial Float -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Vector Polynomial Float -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Vector Polynomial Integer -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Vector Polynomial Integer -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Vector Fraction Polynomial Float -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Vector Fraction Polynomial Float -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retract : Vector Fraction Polynomial Integer -> $ + ++ retract(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + retractIfCan : Vector Fraction Polynomial Integer -> Union($,"failed") + ++ retractIfCan(e) tries to convert \spad{e} into an ASP, checking that + ++ legal Fortran-77 is produced. + + -- NB: These ASPs also have a coerce from an appropriate instantiation + -- of Vector FortranExpression. + +@ +\section{License} +<<license>>= +--Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd. +--All rights reserved. +-- +--Redistribution and use in source and binary forms, with or without +--modification, are permitted provided that the following conditions are +--met: +-- +-- - Redistributions of source code must retain the above copyright +-- notice, this list of conditions and the following disclaimer. +-- +-- - Redistributions in binary form must reproduce the above copyright +-- notice, this list of conditions and the following disclaimer in +-- the documentation and/or other materials provided with the +-- distribution. +-- +-- - Neither the name of The Numerical ALgorithms Group Ltd. nor the +-- names of its contributors may be used to endorse or promote products +-- derived from this software without specific prior written permission. +-- +--THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS +--IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +--TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A +--PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER +--OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, +--EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +--PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR +--PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF +--LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING +--NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +--SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +@ +<<*>>= +<<license>> + +<<category FORTFN FortranFunctionCategory>> +<<category FMC FortranMatrixCategory>> +<<category FORTCAT FortranProgramCategory>> +<<category FVC FortranVectorCategory>> +<<category FMTC FortranMachineTypeCategory>> +<<category FMFUN FortranMatrixFunctionCategory>> +<<category FVFUN FortranVectorFunctionCategory>> + +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |