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%%
%% This file is featured twice in the movie "The Martian". For details, see:
%% http://shemesh.larc.nasa.gov/people/cam/TheMartian/
%% Authors: Cesar Munoz and Anthony Narkawicz
%% NASA Langley Research Center
%%
MPoly : THEORY
BEGIN
IMPORTING util,
multi_polynomial
mpoly : VAR MultiPolynomial
mdeg : VAR DegreeMono
mcoeff : VAR Coeff
nvars,terms : VAR posnat
rel : VAR RealOrder
Avars,Bvars : VAR Vars
boundedpts,
intendpts : VAR IntervalEndpoints
MPoly : TYPE = [#
mpoly : MultiPolynomial,
mdeg : DegreeMono,
terms : posnat,
mcoeff : Coeff
#]
mk_mpoly(mpoly,mdeg,terms,mcoeff) : MACRO MPoly = (#
mpoly := mpoly,
mdeg := mdeg,
terms := terms,
mcoeff := mcoeff
#)
MPolyRel : TYPE = MPoly WITH [# rel:RealOrder #]
mk_mpoly(mpoly,mdeg,terms,mcoeff,rel) : MACRO MPolyRel = (#
mpoly := mpoly,
mdeg := mdeg,
terms := terms,
mcoeff := mcoeff,
rel := rel
#)
mpolyrel2mpoly(mpr:MPolyRel): MACRO MPoly = (#
mpoly := mpr`mpoly,
mdeg := mpr`mdeg,
terms := mpr`terms,
mcoeff := mpr`mcoeff
#)
CONVERSION mpolyrel2mpoly
MVars : TYPE = [#
numvars : posnat,
vars_lb,
vars_ub : Vars,
iepts,
bdpts : IntervalEndpoints
#]
mk_mvars(nvars,Avars,Bvars,intendpts,boundedpts) : MACRO MVars = (#
numvars := nvars,
vars_lb := Avars,
vars_ub := Bvars,
iepts := intendpts,
bdpts := boundedpts
#)
mvars_between?(mv:MVars) : MACRO [Vars->bool] =
boxbetween?(mv`numvars)(mv`vars_lb,mv`vars_ub,mv`iepts,mv`bdpts)
mpoly_eval(mp:MPoly,nvars) : MACRO [Vars->real] =
multipoly_eval(mp`mpoly,mp`mdeg,mp`mcoeff,nvars,mp`terms)
END MPoly