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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/d03routine.spad.pamphlet | |
download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz |
Initial population.
Diffstat (limited to 'src/algebra/d03routine.spad.pamphlet')
-rw-r--r-- | src/algebra/d03routine.spad.pamphlet | 164 |
1 files changed, 164 insertions, 0 deletions
diff --git a/src/algebra/d03routine.spad.pamphlet b/src/algebra/d03routine.spad.pamphlet new file mode 100644 index 00000000..cd7a10c8 --- /dev/null +++ b/src/algebra/d03routine.spad.pamphlet @@ -0,0 +1,164 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/algebra d03routine.spad} +\author{Brian Dupee} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{domain D03EEFA d03eefAnnaType} +<<domain D03EEFA d03eefAnnaType>>= +)abbrev domain D03EEFA d03eefAnnaType +++ Author: Brian Dupee +++ Date Created: June 1996 +++ Date Last Updated: June 1996 +++ Basic Operations: +++ Description: +++ \axiomType{d03eefAnnaType} is a domain of +++ \axiomType{PartialDifferentialEquationsSolverCategory} +++ for the NAG routines D03EEF/D03EDF. +d03eefAnnaType():PartialDifferentialEquationsSolverCategory == Result add -- 2D Elliptic PDE + LEDF ==> List Expression DoubleFloat + EDF ==> Expression DoubleFloat + LDF ==> List DoubleFloat + MDF ==> Matrix DoubleFloat + DF ==> DoubleFloat + F ==> Float + FI ==> Fraction Integer + VEF ==> Vector Expression Float + EF ==> Expression Float + MEF ==> Matrix Expression Float + NNI ==> NonNegativeInteger + INT ==> Integer + PDEC ==> Record(start:DF, finish:DF, grid:NNI, boundaryType:INT, + dStart:MDF, dFinish:MDF) + PDEB ==> Record(pde:LEDF, constraints:List PDEC, + f:List LEDF, st:String, tol:DF) + + import d03AgentsPackage, NagPartialDifferentialEquationsPackage + import ExpertSystemToolsPackage + + measure(R:RoutinesTable,args:PDEB) == + (# (args.constraints) > 2)@Boolean => + [0$F,"d03eef/d03edf is unsuitable for PDEs of order more than 2"] + elliptic?(args) => + m := getMeasure(R,d03eef :: Symbol)$RoutinesTable + [m,"d03eef/d03edf is suitable"] + [0$F,"d03eef/d03edf is unsuitable for hyperbolic or parabolic PDEs"] + + PDESolve(args:PDEB) == + xcon := first(args.constraints) + ycon := second(args.constraints) + nx := xcon.grid + ny := ycon.grid + p := args.pde + x1 := xcon.start + x2 := xcon.finish + y1 := ycon.start + y2 := ycon.finish + lda := ((4*(nx+1)*(ny+1)+2) quo 3)$INT + scheme:String := + central?((x2-x1)/2,(y2-y1)/2,args.pde) => "C" + "U" + asp73:Union(fn:FileName,fp:Asp73(PDEF)) := + [retract(vector([edf2ef u for u in p])$VEF)$Asp73(PDEF)] + asp74:Union(fn:FileName,fp:Asp74(BNDY)) := + [retract(matrix([[edf2ef v for v in w] for w in args.f])$MEF)$Asp74(BNDY)] + fde := d03eef(x1,x2,y1,y2,nx,ny,lda,scheme,-1,asp73,asp74) + ub := new(1,nx*ny,0$DF)$MDF + A := search(a::Symbol,fde)$Result + A case "failed" => empty()$Result + AA := A::Any + fdea := retract(AA)$AnyFunctions1(MDF) + r := search(rhs::Symbol,fde)$Result + r case "failed" => empty()$Result + rh := r::Any + fderhs := retract(rh)$AnyFunctions1(MDF) + d03edf(nx,ny,lda,15,args.tol,0,fdea,fderhs,ub,-1) + +@ +\section{domain D03FAFA d03fafAnnaType} +<<domain D03FAFA d03fafAnnaType>>= +)abbrev domain D03FAFA d03fafAnnaType +++ Author: Brian Dupee +++ Date Created: July 1996 +++ Date Last Updated: July 1996 +++ Basic Operations: +++ Description: +++ \axiomType{d03fafAnnaType} is a domain of +++ \axiomType{PartialDifferentialEquationsSolverCategory} +++ for the NAG routine D03FAF. +d03fafAnnaType():PartialDifferentialEquationsSolverCategory == Result add -- 3D Helmholtz PDE + LEDF ==> List Expression DoubleFloat + EDF ==> Expression DoubleFloat + LDF ==> List DoubleFloat + MDF ==> Matrix DoubleFloat + DF ==> DoubleFloat + F ==> Float + FI ==> Fraction Integer + VEF ==> Vector Expression Float + EF ==> Expression Float + MEF ==> Matrix Expression Float + NNI ==> NonNegativeInteger + INT ==> Integer + PDEC ==> Record(start:DF, finish:DF, grid:NNI, boundaryType:INT, + dStart:MDF, dFinish:MDF) + PDEB ==> Record(pde:LEDF, constraints:List PDEC, + f:List LEDF, st:String, tol:DF) + + import d03AgentsPackage, NagPartialDifferentialEquationsPackage + import ExpertSystemToolsPackage + + measure(R:RoutinesTable,args:PDEB) == + (# (args.constraints) < 3)@Boolean => + [0$F,"d03faf is unsuitable for PDEs of order other than 3"] + [0$F,"d03faf isn't finished"] + +@ +\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>> + +<<domain D03EEFA d03eefAnnaType>> +<<domain D03FAFA d03fafAnnaType>> +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |