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authordos-reis <gdr@axiomatics.org>2011-09-20 06:29:26 +0000
committerdos-reis <gdr@axiomatics.org>2011-09-20 06:29:26 +0000
commit255be06767355e3b41acd75990c6b90270b8f2bd (patch)
tree0a032d40d7cb2213e206d70beb23dc74ccf4a230 /src/algebra/e02.spad.pamphlet
parent12c856f9901ef3d6d82fb99855ecdf3e0b91484b (diff)
downloadopen-axiom-255be06767355e3b41acd75990c6b90270b8f2bd.tar.gz
* algebra/asp.spad.pamphlet: Remove.
* algebra/c02.spad.pamphlet: Likewise. * algebra/c05.spad.pamphlet: Likewise. * algebra/c06.spad.pamphlet: Likewise. * algebra/d01.spad.pamphlet: Likewise. * algebra/d02.spad.pamphlet: Likewise. * algebra/d03.spad.pamphlet: Likewise. * algebra/e01.spad.pamphlet: Likewise. * algebra/e02.spad.pamphlet: Likewise. * algebra/e04.spad.pamphlet: Likewise. * algebra/f01.spad.pamphlet: Likewise. * algebra/f02.spad.pamphlet: Likewise. * algebra/f04.spad.pamphlet: Likewise. * algebra/f07.spad.pamphlet: Likewise. * algebra/s.spad.pamphlet: Likewise. * algebra/d01Package.spad.pamphlet: Likewise. * algebra/d02Package.spad.pamphlet: Likewise. * algebra/d03Package.spad.pamphlet: Likewise. * algebra/e04Package.spad.pamphlet: Likewise. * algebra/d01agents.spad.pamphlet: Likewise. * algebra/d01routine.spad.pamphlet: Likewise. * algebra/d01transform.spad.pamphlet: Likewise. * algebra/d01weights.spad.pamphlet: Likewise. * algebra/d02agents.spad.pamphlet: Likewise. * algebra/d02routine.spad.pamphlet: Likewise. * algebra/d03agents.spad.pamphlet: Likewise. * algebra/d03routine.spad.pamphlet: Likewise. * algebra/e04agents.spad.pamphlet: Likewise. * algebra/e04routine.spad.pamphlet: Likewise.
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-\documentclass{article}
-\usepackage{open-axiom}
-\begin{document}
-\title{\$SPAD/src/algebra e02.spad}
-\author{Godfrey Nolan, Mike Dewar}
-\maketitle
-\begin{abstract}
-\end{abstract}
-\eject
-\tableofcontents
-\eject
-\section{package NAGE02 NagFittingPackage}
-<<package NAGE02 NagFittingPackage>>=
-)abbrev package NAGE02 NagFittingPackage
-++ Author: Godfrey Nolan and Mike Dewar
-++ Date Created: Jan 1994
-++ Date Last Updated: Thu May 12 17:44:59 1994
-++Description:
-++This package uses the NAG Library to find a
-++function which approximates a set of data points. Typically the
-++data contain random errors, as of experimental measurement, which
-++need to be smoothed out. To seek an approximation to the data, it
-++is first necessary to specify for the approximating function a
-++mathematical form (a polynomial, for example) which contains a
-++number of unspecified coefficients: the appropriate fitting
-++routine then derives for the coefficients the values which
-++provide the best fit of that particular form. The package deals
-++mainly with curve and surface fitting (i.e., fitting with
-++functions of one and of two variables) when a polynomial or a
-++cubic spline is used as the fitting function, since these cover
-++the most common needs. However, fitting with other functions
-++and/or more variables can be undertaken by means of general
-++linear or nonlinear routines (some of which are contained in
-++other packages) depending on whether the coefficients in the
-++function occur linearly or nonlinearly. Cases where a graph
-++rather than a set of data points is given can be treated simply
-++by first reading a suitable set of points from the graph.
-++The package also contains routines for evaluating,
-++differentiating and integrating polynomial and spline curves and
-++surfaces, once the numerical values of their coefficients have
-++been determined.
-++See \downlink{Manual Page}{manpageXXe02}.
-
-
-NagFittingPackage(): Exports == Implementation where
- S ==> Symbol
- FOP ==> FortranOutputStackPackage
-
- Exports ==> with
- e02adf : (Integer,Integer,Integer,Matrix DoubleFloat,_
- Matrix DoubleFloat,Matrix DoubleFloat,Integer) -> Result
- ++ e02adf(m,kplus1,nrows,x,y,w,ifail)
- ++ computes weighted least-squares polynomial approximations
- ++ to an arbitrary set of data points.
- ++ See \downlink{Manual Page}{manpageXXe02adf}.
- e02aef : (Integer,Matrix DoubleFloat,DoubleFloat,Integer) -> Result
- ++ e02aef(nplus1,a,xcap,ifail)
- ++ evaluates a polynomial from its Chebyshev-series
- ++ representation.
- ++ See \downlink{Manual Page}{manpageXXe02aef}.
- e02agf : (Integer,Integer,Integer,DoubleFloat,_
- DoubleFloat,Matrix DoubleFloat,Matrix DoubleFloat,Matrix DoubleFloat,Integer,Matrix DoubleFloat,Matrix DoubleFloat,Integer,Matrix Integer,Integer,Integer,Integer) -> Result
- ++ e02agf(m,kplus1,nrows,xmin,xmax,x,y,w,mf,xf,yf,lyf,ip,lwrk,liwrk,ifail)
- ++ computes constrained weighted least-squares polynomial
- ++ approximations in Chebyshev-series form to an arbitrary set of
- ++ data points. The values of the approximations and any number of
- ++ their derivatives can be specified at selected points.
- ++ See \downlink{Manual Page}{manpageXXe02agf}.
- e02ahf : (Integer,DoubleFloat,DoubleFloat,Matrix DoubleFloat,_
- Integer,Integer,Integer,Integer,Integer) -> Result
- ++ e02ahf(np1,xmin,xmax,a,ia1,la,iadif1,ladif,ifail)
- ++ determines the coefficients in the Chebyshev-series
- ++ representation of the derivative of a polynomial given in
- ++ Chebyshev-series form.
- ++ See \downlink{Manual Page}{manpageXXe02ahf}.
- e02ajf : (Integer,DoubleFloat,DoubleFloat,Matrix DoubleFloat,_
- Integer,Integer,DoubleFloat,Integer,Integer,Integer) -> Result
- ++ e02ajf(np1,xmin,xmax,a,ia1,la,qatm1,iaint1,laint,ifail)
- ++ determines the coefficients in the Chebyshev-series
- ++ representation of the indefinite integral of a polynomial given
- ++ in Chebyshev-series form.
- ++ See \downlink{Manual Page}{manpageXXe02ajf}.
- e02akf : (Integer,DoubleFloat,DoubleFloat,Matrix DoubleFloat,_
- Integer,Integer,DoubleFloat,Integer) -> Result
- ++ e02akf(np1,xmin,xmax,a,ia1,la,x,ifail)
- ++ evaluates a polynomial from its Chebyshev-series
- ++ representation, allowing an arbitrary index increment for
- ++ accessing the array of coefficients.
- ++ See \downlink{Manual Page}{manpageXXe02akf}.
- e02baf : (Integer,Integer,Matrix DoubleFloat,Matrix DoubleFloat,_
- Matrix DoubleFloat,Matrix DoubleFloat,Integer) -> Result
- ++ e02baf(m,ncap7,x,y,w,lamda,ifail)
- ++ computes a weighted least-squares approximation to an
- ++ arbitrary set of data points by a cubic splines
- ++ prescribed by the user. Cubic spline can also be
- ++ carried out.
- ++ See \downlink{Manual Page}{manpageXXe02baf}.
- e02bbf : (Integer,Matrix DoubleFloat,Matrix DoubleFloat,DoubleFloat,_
- Integer) -> Result
- ++ e02bbf(ncap7,lamda,c,x,ifail)
- ++ evaluates a cubic spline representation.
- ++ See \downlink{Manual Page}{manpageXXe02bbf}.
- e02bcf : (Integer,Matrix DoubleFloat,Matrix DoubleFloat,DoubleFloat,_
- Integer,Integer) -> Result
- ++ e02bcf(ncap7,lamda,c,x,left,ifail)
- ++ evaluates a cubic spline and its first three derivatives
- ++ from its B-spline representation.
- ++ See \downlink{Manual Page}{manpageXXe02bcf}.
- e02bdf : (Integer,Matrix DoubleFloat,Matrix DoubleFloat,Integer) -> Result
- ++ e02bdf(ncap7,lamda,c,ifail)
- ++ computes the definite integral from its
- ++ B-spline representation.
- ++ See \downlink{Manual Page}{manpageXXe02bdf}.
- e02bef : (String,Integer,Matrix DoubleFloat,Matrix DoubleFloat,_
- Matrix DoubleFloat,DoubleFloat,Integer,Integer,Integer,Matrix DoubleFloat,Integer,Matrix DoubleFloat,Matrix Integer) -> Result
- ++ e02bef(start,m,x,y,w,s,nest,lwrk,n,lamda,ifail,wrk,iwrk)
- ++ computes a cubic spline approximation to an arbitrary set
- ++ of data points. The knot are located
- ++ automatically, but a single parameter must be specified to
- ++ control the trade-off between closeness of fit and smoothness of
- ++ fit.
- ++ See \downlink{Manual Page}{manpageXXe02bef}.
- e02daf : (Integer,Integer,Integer,Matrix DoubleFloat,_
- Matrix DoubleFloat,Matrix DoubleFloat,Matrix DoubleFloat,Matrix DoubleFloat,Matrix Integer,Integer,Integer,Integer,DoubleFloat,Matrix DoubleFloat,Integer) -> Result
- ++ e02daf(m,px,py,x,y,f,w,mu,point,npoint,nc,nws,eps,lamda,ifail)
- ++ forms a minimal, weighted least-squares bicubic spline
- ++ surface fit with prescribed knots to a given set of data points.
- ++ See \downlink{Manual Page}{manpageXXe02daf}.
- e02dcf : (String,Integer,Matrix DoubleFloat,Integer,_
- Matrix DoubleFloat,Matrix DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Integer,Matrix DoubleFloat,Integer,Matrix DoubleFloat,Matrix DoubleFloat,Matrix Integer,Integer) -> Result
- ++ e02dcf(start,mx,x,my,y,f,s,nxest,nyest,lwrk,liwrk,nx,lamda,ny,mu,wrk,iwrk,ifail)
- ++ computes a bicubic spline approximation to a set of data
- ++ values, given on a rectangular grid in the x-y plane. The knots
- ++ of the spline are located automatically, but a single parameter
- ++ must be specified to control the trade-off between closeness of
- ++ fit and smoothness of fit.
- ++ See \downlink{Manual Page}{manpageXXe02dcf}.
- e02ddf : (String,Integer,Matrix DoubleFloat,Matrix DoubleFloat,_
- Matrix DoubleFloat,Matrix DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Integer,Matrix DoubleFloat,Integer,Matrix DoubleFloat,Matrix DoubleFloat,Integer) -> Result
- ++ e02ddf(start,m,x,y,f,w,s,nxest,nyest,lwrk,liwrk,nx,lamda,ny,mu,wrk,ifail)
- ++ computes a bicubic spline approximation to a set of
- ++ scattered data are located
- ++ automatically, but a single parameter must be specified to
- ++ control the trade-off between closeness of fit and smoothness of
- ++ fit.
- ++ See \downlink{Manual Page}{manpageXXe02ddf}.
- e02def : (Integer,Integer,Integer,Matrix DoubleFloat,_
- Matrix DoubleFloat,Matrix DoubleFloat,Matrix DoubleFloat,Matrix DoubleFloat,Integer) -> Result
- ++ e02def(m,px,py,x,y,lamda,mu,c,ifail)
- ++ calculates values of a bicubic spline
- ++ representation.
- ++ See \downlink{Manual Page}{manpageXXe02def}.
- e02dff : (Integer,Integer,Integer,Integer,_
- Matrix DoubleFloat,Matrix DoubleFloat,Matrix DoubleFloat,Matrix DoubleFloat,Matrix DoubleFloat,Integer,Integer,Integer) -> Result
- ++ e02dff(mx,my,px,py,x,y,lamda,mu,c,lwrk,liwrk,ifail)
- ++ calculates values of a bicubic spline
- ++ representation. The spline is evaluated at all points on a
- ++ rectangular grid.
- ++ See \downlink{Manual Page}{manpageXXe02dff}.
- e02gaf : (Integer,Integer,Integer,DoubleFloat,_
- Matrix DoubleFloat,Matrix DoubleFloat,Integer) -> Result
- ++ e02gaf(m,la,nplus2,toler,a,b,ifail)
- ++ calculates an l solution to an over-determined system of
- ++ 1
- ++ linear equations.
- ++ See \downlink{Manual Page}{manpageXXe02gaf}.
- e02zaf : (Integer,Integer,Matrix DoubleFloat,Matrix DoubleFloat,_
- Integer,Matrix DoubleFloat,Matrix DoubleFloat,Integer,Integer,Integer) -> Result
- ++ e02zaf(px,py,lamda,mu,m,x,y,npoint,nadres,ifail)
- ++ sorts two-dimensional data into rectangular panels.
- ++ See \downlink{Manual Page}{manpageXXe02zaf}.
- Implementation ==> add
-
- import Lisp
- import DoubleFloat
- import Any
- import Record
- import Integer
- import Matrix DoubleFloat
- import Boolean
- import NAGLinkSupportPackage
- import AnyFunctions1(Integer)
- import AnyFunctions1(Matrix DoubleFloat)
- import AnyFunctions1(DoubleFloat)
- import AnyFunctions1(Matrix Integer)
- import AnyFunctions1(String)
-
-
- e02adf(mArg:Integer,kplus1Arg:Integer,nrowsArg:Integer,_
- xArg:Matrix DoubleFloat,yArg:Matrix DoubleFloat,wArg:Matrix DoubleFloat,_
- ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02adf",_
- ["m"::S,"kplus1"::S,"nrows"::S,"ifail"::S,"x"::S,"y"::S,"w"::S,"a"::S,"s"::S_
- ,"work1"::S,"work2"::S]$Lisp,_
- ["a"::S,"s"::S,"work1"::S,"work2"::S]$Lisp,_
- [["double"::S,["x"::S,"m"::S]$Lisp,["y"::S,"m"::S]$Lisp_
- ,["w"::S,"m"::S]$Lisp,["a"::S,"nrows"::S,"kplus1"::S]$Lisp,["s"::S,"kplus1"::S]$Lisp,["work1"::S,["*"::S,3$Lisp,"m"::S]$Lisp]$Lisp_
- ,["work2"::S,["*"::S,2$Lisp,"kplus1"::S]$Lisp]$Lisp]$Lisp_
- ,["integer"::S,"m"::S,"kplus1"::S,"nrows"::S_
- ,"ifail"::S]$Lisp_
- ]$Lisp,_
- ["a"::S,"s"::S,"ifail"::S]$Lisp,_
- [([mArg::Any,kplus1Arg::Any,nrowsArg::Any,ifailArg::Any,xArg::Any,yArg::Any,wArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02aef(nplus1Arg:Integer,aArg:Matrix DoubleFloat,xcapArg:DoubleFloat,_
- ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02aef",_
- ["nplus1"::S,"xcap"::S,"p"::S,"ifail"::S,"a"::S]$Lisp,_
- ["p"::S]$Lisp,_
- [["double"::S,["a"::S,"nplus1"::S]$Lisp,"xcap"::S_
- ,"p"::S]$Lisp_
- ,["integer"::S,"nplus1"::S,"ifail"::S]$Lisp_
- ]$Lisp,_
- ["p"::S,"ifail"::S]$Lisp,_
- [([nplus1Arg::Any,xcapArg::Any,ifailArg::Any,aArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02agf(mArg:Integer,kplus1Arg:Integer,nrowsArg:Integer,_
- xminArg:DoubleFloat,xmaxArg:DoubleFloat,xArg:Matrix DoubleFloat,_
- yArg:Matrix DoubleFloat,wArg:Matrix DoubleFloat,mfArg:Integer,_
- xfArg:Matrix DoubleFloat,yfArg:Matrix DoubleFloat,lyfArg:Integer,_
- ipArg:Matrix Integer,lwrkArg:Integer,liwrkArg:Integer,_
- ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02agf",_
- ["m"::S,"kplus1"::S,"nrows"::S,"xmin"::S,"xmax"::S_
- ,"mf"::S,"lyf"::S,"lwrk"::S,"liwrk"::S,"np1"::S_
- ,"ifail"::S,"x"::S,"y"::S,"w"::S,"xf"::S,"yf"::S_
- ,"ip"::S,"a"::S,"s"::S,"wrk"::S,"iwrk"::S_
- ]$Lisp,_
- ["a"::S,"s"::S,"np1"::S,"wrk"::S,"iwrk"::S]$Lisp,_
- [["double"::S,"xmin"::S,"xmax"::S,["x"::S,"m"::S]$Lisp_
- ,["y"::S,"m"::S]$Lisp,["w"::S,"m"::S]$Lisp,["xf"::S,"mf"::S]$Lisp,["yf"::S,"lyf"::S]$Lisp,["a"::S,"nrows"::S,"kplus1"::S]$Lisp_
- ,["s"::S,"kplus1"::S]$Lisp,["wrk"::S,"lwrk"::S]$Lisp]$Lisp_
- ,["integer"::S,"m"::S,"kplus1"::S,"nrows"::S_
- ,"mf"::S,"lyf"::S,["ip"::S,"mf"::S]$Lisp,"lwrk"::S,"liwrk"::S,"np1"::S,"ifail"::S,["iwrk"::S,"liwrk"::S]$Lisp]$Lisp_
- ]$Lisp,_
- ["a"::S,"s"::S,"np1"::S,"wrk"::S,"ifail"::S]$Lisp,_
- [([mArg::Any,kplus1Arg::Any,nrowsArg::Any,xminArg::Any,xmaxArg::Any,mfArg::Any,lyfArg::Any,lwrkArg::Any,liwrkArg::Any,ifailArg::Any,xArg::Any,yArg::Any,wArg::Any,xfArg::Any,yfArg::Any,ipArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02ahf(np1Arg:Integer,xminArg:DoubleFloat,xmaxArg:DoubleFloat,_
- aArg:Matrix DoubleFloat,ia1Arg:Integer,laArg:Integer,_
- iadif1Arg:Integer,ladifArg:Integer,ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02ahf",_
- ["np1"::S,"xmin"::S,"xmax"::S,"ia1"::S,"la"::S_
- ,"iadif1"::S,"ladif"::S,"patm1"::S,"ifail"::S,"a"::S,"adif"::S]$Lisp,_
- ["patm1"::S,"adif"::S]$Lisp,_
- [["double"::S,"xmin"::S,"xmax"::S,["a"::S,"la"::S]$Lisp_
- ,"patm1"::S,["adif"::S,"ladif"::S]$Lisp]$Lisp_
- ,["integer"::S,"np1"::S,"ia1"::S,"la"::S,"iadif1"::S_
- ,"ladif"::S,"ifail"::S]$Lisp_
- ]$Lisp,_
- ["patm1"::S,"adif"::S,"ifail"::S]$Lisp,_
- [([np1Arg::Any,xminArg::Any,xmaxArg::Any,ia1Arg::Any,laArg::Any,iadif1Arg::Any,ladifArg::Any,ifailArg::Any,aArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02ajf(np1Arg:Integer,xminArg:DoubleFloat,xmaxArg:DoubleFloat,_
- aArg:Matrix DoubleFloat,ia1Arg:Integer,laArg:Integer,_
- qatm1Arg:DoubleFloat,iaint1Arg:Integer,laintArg:Integer,_
- ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02ajf",_
- ["np1"::S,"xmin"::S,"xmax"::S,"ia1"::S,"la"::S_
- ,"qatm1"::S,"iaint1"::S,"laint"::S,"ifail"::S,"a"::S,"aint"::S]$Lisp,_
- ["aint"::S]$Lisp,_
- [["double"::S,"xmin"::S,"xmax"::S,["a"::S,"la"::S]$Lisp_
- ,"qatm1"::S,["aint"::S,"laint"::S]$Lisp]$Lisp_
- ,["integer"::S,"np1"::S,"ia1"::S,"la"::S,"iaint1"::S_
- ,"laint"::S,"ifail"::S]$Lisp_
- ]$Lisp,_
- ["aint"::S,"ifail"::S]$Lisp,_
- [([np1Arg::Any,xminArg::Any,xmaxArg::Any,ia1Arg::Any,laArg::Any,qatm1Arg::Any,iaint1Arg::Any,laintArg::Any,ifailArg::Any,aArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02akf(np1Arg:Integer,xminArg:DoubleFloat,xmaxArg:DoubleFloat,_
- aArg:Matrix DoubleFloat,ia1Arg:Integer,laArg:Integer,_
- xArg:DoubleFloat,ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02akf",_
- ["np1"::S,"xmin"::S,"xmax"::S,"ia1"::S,"la"::S_
- ,"x"::S,"result"::S,"ifail"::S,"a"::S]$Lisp,_
- ["result"::S]$Lisp,_
- [["double"::S,"xmin"::S,"xmax"::S,["a"::S,"la"::S]$Lisp_
- ,"x"::S,"result"::S]$Lisp_
- ,["integer"::S,"np1"::S,"ia1"::S,"la"::S,"ifail"::S_
- ]$Lisp_
- ]$Lisp,_
- ["result"::S,"ifail"::S]$Lisp,_
- [([np1Arg::Any,xminArg::Any,xmaxArg::Any,ia1Arg::Any,laArg::Any,xArg::Any,ifailArg::Any,aArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02baf(mArg:Integer,ncap7Arg:Integer,xArg:Matrix DoubleFloat,_
- yArg:Matrix DoubleFloat,wArg:Matrix DoubleFloat,lamdaArg:Matrix DoubleFloat,_
- ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02baf",_
- ["m"::S,"ncap7"::S,"ss"::S,"ifail"::S,"x"::S,"y"::S,"w"::S,"c"::S,"lamda"::S_
- ,"work1"::S,"work2"::S]$Lisp,_
- ["c"::S,"ss"::S,"work1"::S,"work2"::S]$Lisp,_
- [["double"::S,["x"::S,"m"::S]$Lisp,["y"::S,"m"::S]$Lisp_
- ,["w"::S,"m"::S]$Lisp,["c"::S,"ncap7"::S]$Lisp,"ss"::S,["lamda"::S,"ncap7"::S]$Lisp,["work1"::S,"m"::S]$Lisp_
- ,["work2"::S,["*"::S,4$Lisp,"ncap7"::S]$Lisp]$Lisp]$Lisp_
- ,["integer"::S,"m"::S,"ncap7"::S,"ifail"::S_
- ]$Lisp_
- ]$Lisp,_
- ["c"::S,"ss"::S,"lamda"::S,"ifail"::S]$Lisp,_
- [([mArg::Any,ncap7Arg::Any,ifailArg::Any,xArg::Any,yArg::Any,wArg::Any,lamdaArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02bbf(ncap7Arg:Integer,lamdaArg:Matrix DoubleFloat,cArg:Matrix DoubleFloat,_
- xArg:DoubleFloat,ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02bbf",_
- ["ncap7"::S,"x"::S,"s"::S,"ifail"::S,"lamda"::S,"c"::S]$Lisp,_
- ["s"::S]$Lisp,_
- [["double"::S,["lamda"::S,"ncap7"::S]$Lisp_
- ,["c"::S,"ncap7"::S]$Lisp,"x"::S,"s"::S]$Lisp_
- ,["integer"::S,"ncap7"::S,"ifail"::S]$Lisp_
- ]$Lisp,_
- ["s"::S,"ifail"::S]$Lisp,_
- [([ncap7Arg::Any,xArg::Any,ifailArg::Any,lamdaArg::Any,cArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02bcf(ncap7Arg:Integer,lamdaArg:Matrix DoubleFloat,cArg:Matrix DoubleFloat,_
- xArg:DoubleFloat,leftArg:Integer,ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02bcf",_
- ["ncap7"::S,"x"::S,"left"::S,"ifail"::S,"lamda"::S,"c"::S,"s"::S]$Lisp,_
- ["s"::S]$Lisp,_
- [["double"::S,["lamda"::S,"ncap7"::S]$Lisp_
- ,["c"::S,"ncap7"::S]$Lisp,"x"::S,["s"::S,4$Lisp]$Lisp]$Lisp_
- ,["integer"::S,"ncap7"::S,"left"::S,"ifail"::S_
- ]$Lisp_
- ]$Lisp,_
- ["s"::S,"ifail"::S]$Lisp,_
- [([ncap7Arg::Any,xArg::Any,leftArg::Any,ifailArg::Any,lamdaArg::Any,cArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02bdf(ncap7Arg:Integer,lamdaArg:Matrix DoubleFloat,cArg:Matrix DoubleFloat,_
- ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02bdf",_
- ["ncap7"::S,"defint"::S,"ifail"::S,"lamda"::S,"c"::S]$Lisp,_
- ["defint"::S]$Lisp,_
- [["double"::S,["lamda"::S,"ncap7"::S]$Lisp_
- ,["c"::S,"ncap7"::S]$Lisp,"defint"::S]$Lisp_
- ,["integer"::S,"ncap7"::S,"ifail"::S]$Lisp_
- ]$Lisp,_
- ["defint"::S,"ifail"::S]$Lisp,_
- [([ncap7Arg::Any,ifailArg::Any,lamdaArg::Any,cArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02bef(startArg:String,mArg:Integer,xArg:Matrix DoubleFloat,_
- yArg:Matrix DoubleFloat,wArg:Matrix DoubleFloat,sArg:DoubleFloat,_
- nestArg:Integer,lwrkArg:Integer,nArg:Integer,_
- lamdaArg:Matrix DoubleFloat,ifailArg:Integer,wrkArg:Matrix DoubleFloat,_
- iwrkArg:Matrix Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02bef",_
- ["start"::S,"m"::S,"s"::S,"nest"::S,"lwrk"::S_
- ,"fp"::S,"n"::S,"ifail"::S,"x"::S,"y"::S,"w"::S,"c"::S,"lamda"::S_
- ,"wrk"::S,"iwrk"::S]$Lisp,_
- ["c"::S,"fp"::S]$Lisp,_
- [["double"::S,["x"::S,"m"::S]$Lisp,["y"::S,"m"::S]$Lisp_
- ,["w"::S,"m"::S]$Lisp,"s"::S,["c"::S,"nest"::S]$Lisp,"fp"::S,["lamda"::S,"nest"::S]$Lisp,["wrk"::S,"lwrk"::S]$Lisp_
- ]$Lisp_
- ,["integer"::S,"m"::S,"nest"::S,"lwrk"::S,"n"::S_
- ,"ifail"::S,["iwrk"::S,"nest"::S]$Lisp]$Lisp_
- ,["character"::S,"start"::S]$Lisp_
- ]$Lisp,_
- ["c"::S,"fp"::S,"n"::S,"lamda"::S,"ifail"::S,"wrk"::S,"iwrk"::S]$Lisp,_
- [([startArg::Any,mArg::Any,sArg::Any,nestArg::Any,lwrkArg::Any,nArg::Any,ifailArg::Any,xArg::Any,yArg::Any,wArg::Any,lamdaArg::Any,wrkArg::Any,iwrkArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02daf(mArg:Integer,pxArg:Integer,pyArg:Integer,_
- xArg:Matrix DoubleFloat,yArg:Matrix DoubleFloat,fArg:Matrix DoubleFloat,_
- wArg:Matrix DoubleFloat,muArg:Matrix DoubleFloat,pointArg:Matrix Integer,_
- npointArg:Integer,ncArg:Integer,nwsArg:Integer,_
- epsArg:DoubleFloat,lamdaArg:Matrix DoubleFloat,ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02daf",_
- ["m"::S,"px"::S,"py"::S,"npoint"::S,"nc"::S_
- ,"nws"::S,"eps"::S,"sigma"::S,"rank"::S,"ifail"::S_
- ,"x"::S,"y"::S,"f"::S,"w"::S,"mu"::S_
- ,"point"::S,"dl"::S,"c"::S,"lamda"::S,"ws"::S_
- ]$Lisp,_
- ["dl"::S,"c"::S,"sigma"::S,"rank"::S,"ws"::S]$Lisp,_
- [["double"::S,["x"::S,"m"::S]$Lisp,["y"::S,"m"::S]$Lisp_
- ,["f"::S,"m"::S]$Lisp,["w"::S,"m"::S]$Lisp,["mu"::S,"py"::S]$Lisp,"eps"::S,["dl"::S,"nc"::S]$Lisp,["c"::S,"nc"::S]$Lisp_
- ,"sigma"::S,["lamda"::S,"px"::S]$Lisp,["ws"::S,"nws"::S]$Lisp]$Lisp_
- ,["integer"::S,"m"::S,"px"::S,"py"::S,["point"::S,"npoint"::S]$Lisp_
- ,"npoint"::S,"nc"::S,"nws"::S,"rank"::S,"ifail"::S]$Lisp_
- ]$Lisp,_
- ["dl"::S,"c"::S,"sigma"::S,"rank"::S,"lamda"::S,"ifail"::S]$Lisp,_
- [([mArg::Any,pxArg::Any,pyArg::Any,npointArg::Any,ncArg::Any,nwsArg::Any,epsArg::Any,ifailArg::Any,xArg::Any,yArg::Any,fArg::Any,wArg::Any,muArg::Any,pointArg::Any,lamdaArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02dcf(startArg:String,mxArg:Integer,xArg:Matrix DoubleFloat,_
- myArg:Integer,yArg:Matrix DoubleFloat,fArg:Matrix DoubleFloat,_
- sArg:DoubleFloat,nxestArg:Integer,nyestArg:Integer,_
- lwrkArg:Integer,liwrkArg:Integer,nxArg:Integer,_
- lamdaArg:Matrix DoubleFloat,nyArg:Integer,muArg:Matrix DoubleFloat,_
- wrkArg:Matrix DoubleFloat,iwrkArg:Matrix Integer,ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02dcf",_
- ["start"::S,"mx"::S,"my"::S,"s"::S,"nxest"::S_
- ,"nyest"::S,"lwrk"::S,"liwrk"::S,"fp"::S,"nx"::S_
- ,"ny"::S,"ifail"::S,"x"::S,"y"::S,"f"::S,"c"::S,"lamda"::S_
- ,"mu"::S,"wrk"::S,"iwrk"::S]$Lisp,_
- ["c"::S,"fp"::S]$Lisp,_
- [["double"::S,["x"::S,"mx"::S]$Lisp,["y"::S,"my"::S]$Lisp_
- ,["f"::S,["*"::S,"mx"::S,"my"::S]$Lisp]$Lisp,"s"::S,["c"::S,["*"::S,["-"::S,"nxest"::S,4$Lisp]$Lisp,["-"::S,"nyest"::S,4$Lisp]$Lisp]$Lisp]$Lisp_
- ,"fp"::S,["lamda"::S,"nxest"::S]$Lisp,["mu"::S,"nyest"::S]$Lisp,["wrk"::S,"lwrk"::S]$Lisp_
- ]$Lisp_
- ,["integer"::S,"mx"::S,"my"::S,"nxest"::S,"nyest"::S_
- ,"lwrk"::S,"liwrk"::S,"nx"::S,"ny"::S,["iwrk"::S,"liwrk"::S]$Lisp,"ifail"::S]$Lisp_
- ,["character"::S,"start"::S]$Lisp_
- ]$Lisp,_
- ["c"::S,"fp"::S,"nx"::S,"lamda"::S,"ny"::S,"mu"::S,"wrk"::S,"iwrk"::S,"ifail"::S]$Lisp,_
- [([startArg::Any,mxArg::Any,myArg::Any,sArg::Any,nxestArg::Any,nyestArg::Any,lwrkArg::Any,liwrkArg::Any,nxArg::Any,nyArg::Any,ifailArg::Any,xArg::Any,yArg::Any,fArg::Any,lamdaArg::Any,muArg::Any,wrkArg::Any,iwrkArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02ddf(startArg:String,mArg:Integer,xArg:Matrix DoubleFloat,_
- yArg:Matrix DoubleFloat,fArg:Matrix DoubleFloat,wArg:Matrix DoubleFloat,_
- sArg:DoubleFloat,nxestArg:Integer,nyestArg:Integer,_
- lwrkArg:Integer,liwrkArg:Integer,nxArg:Integer,_
- lamdaArg:Matrix DoubleFloat,nyArg:Integer,muArg:Matrix DoubleFloat,_
- wrkArg:Matrix DoubleFloat,ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02ddf",_
- ["start"::S,"m"::S,"s"::S,"nxest"::S,"nyest"::S_
- ,"lwrk"::S,"liwrk"::S,"fp"::S,"rank"::S,"nx"::S_
- ,"ny"::S,"ifail"::S,"x"::S,"y"::S,"f"::S,"w"::S,"c"::S_
- ,"iwrk"::S,"lamda"::S,"mu"::S,"wrk"::S]$Lisp,_
- ["c"::S,"fp"::S,"rank"::S,"iwrk"::S]$Lisp,_
- [["double"::S,["x"::S,"m"::S]$Lisp,["y"::S,"m"::S]$Lisp_
- ,["f"::S,"m"::S]$Lisp,["w"::S,"m"::S]$Lisp,"s"::S,["c"::S,["*"::S,["-"::S,"nxest"::S,4$Lisp]$Lisp,["-"::S,"nyest"::S,4$Lisp]$Lisp]$Lisp]$Lisp_
- ,"fp"::S,["lamda"::S,"nxest"::S]$Lisp,["mu"::S,"nyest"::S]$Lisp,["wrk"::S,"lwrk"::S]$Lisp_
- ]$Lisp_
- ,["integer"::S,"m"::S,"nxest"::S,"nyest"::S_
- ,"lwrk"::S,"liwrk"::S,"rank"::S,["iwrk"::S,"liwrk"::S]$Lisp,"nx"::S,"ny"::S,"ifail"::S]$Lisp_
- ,["character"::S,"start"::S]$Lisp_
- ]$Lisp,_
- ["c"::S,"fp"::S,"rank"::S,"iwrk"::S,"nx"::S,"lamda"::S,"ny"::S,"mu"::S,"wrk"::S,"ifail"::S]$Lisp,_
- [([startArg::Any,mArg::Any,sArg::Any,nxestArg::Any,nyestArg::Any,lwrkArg::Any,liwrkArg::Any,nxArg::Any,nyArg::Any,ifailArg::Any,xArg::Any,yArg::Any,fArg::Any,wArg::Any,lamdaArg::Any,muArg::Any,wrkArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02def(mArg:Integer,pxArg:Integer,pyArg:Integer,_
- xArg:Matrix DoubleFloat,yArg:Matrix DoubleFloat,lamdaArg:Matrix DoubleFloat,_
- muArg:Matrix DoubleFloat,cArg:Matrix DoubleFloat,ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02def",_
- ["m"::S,"px"::S,"py"::S,"ifail"::S,"x"::S,"y"::S,"lamda"::S,"mu"::S,"c"::S_
- ,"ff"::S,"wrk"::S,"iwrk"::S]$Lisp,_
- ["ff"::S,"wrk"::S,"iwrk"::S]$Lisp,_
- [["double"::S,["x"::S,"m"::S]$Lisp,["y"::S,"m"::S]$Lisp_
- ,["lamda"::S,"px"::S]$Lisp,["mu"::S,"py"::S]$Lisp,["c"::S,["*"::S,["-"::S,"px"::S,4$Lisp]$Lisp,["-"::S,"py"::S,4$Lisp]$Lisp]$Lisp]$Lisp_
- ,["ff"::S,"m"::S]$Lisp,["wrk"::S,["-"::S,"py"::S,4$Lisp]$Lisp]$Lisp]$Lisp_
- ,["integer"::S,"m"::S,"px"::S,"py"::S,"ifail"::S_
- ,["iwrk"::S,["-"::S,"py"::S,4$Lisp]$Lisp]$Lisp]$Lisp_
- ]$Lisp,_
- ["ff"::S,"ifail"::S]$Lisp,_
- [([mArg::Any,pxArg::Any,pyArg::Any,ifailArg::Any,xArg::Any,yArg::Any,lamdaArg::Any,muArg::Any,cArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02dff(mxArg:Integer,myArg:Integer,pxArg:Integer,_
- pyArg:Integer,xArg:Matrix DoubleFloat,yArg:Matrix DoubleFloat,_
- lamdaArg:Matrix DoubleFloat,muArg:Matrix DoubleFloat,cArg:Matrix DoubleFloat,_
- lwrkArg:Integer,liwrkArg:Integer,ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02dff",_
- ["mx"::S,"my"::S,"px"::S,"py"::S,"lwrk"::S_
- ,"liwrk"::S,"ifail"::S,"x"::S,"y"::S,"lamda"::S,"mu"::S,"c"::S_
- ,"ff"::S,"wrk"::S,"iwrk"::S]$Lisp,_
- ["ff"::S,"wrk"::S,"iwrk"::S]$Lisp,_
- [["double"::S,["x"::S,"mx"::S]$Lisp,["y"::S,"my"::S]$Lisp_
- ,["lamda"::S,"px"::S]$Lisp,["mu"::S,"py"::S]$Lisp,["c"::S,["*"::S,["-"::S,"px"::S,4$Lisp]$Lisp,["-"::S,"py"::S,4$Lisp]$Lisp]$Lisp]$Lisp_
- ,["ff"::S,["*"::S,"mx"::S,"my"::S]$Lisp]$Lisp,["wrk"::S,"lwrk"::S]$Lisp]$Lisp_
- ,["integer"::S,"mx"::S,"my"::S,"px"::S,"py"::S_
- ,"lwrk"::S,"liwrk"::S,"ifail"::S,["iwrk"::S,"liwrk"::S]$Lisp]$Lisp_
- ]$Lisp,_
- ["ff"::S,"ifail"::S]$Lisp,_
- [([mxArg::Any,myArg::Any,pxArg::Any,pyArg::Any,lwrkArg::Any,liwrkArg::Any,ifailArg::Any,xArg::Any,yArg::Any,lamdaArg::Any,muArg::Any,cArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02gaf(mArg:Integer,laArg:Integer,nplus2Arg:Integer,_
- tolerArg:DoubleFloat,aArg:Matrix DoubleFloat,bArg:Matrix DoubleFloat,_
- ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02gaf",_
- ["m"::S,"la"::S,"nplus2"::S,"toler"::S,"resid"::S_
- ,"irank"::S,"iter"::S,"ifail"::S,"x"::S,"a"::S,"b"::S,"iwork"::S]$Lisp,_
- ["x"::S,"resid"::S,"irank"::S,"iter"::S,"iwork"::S]$Lisp,_
- [["double"::S,"toler"::S,["x"::S,"nplus2"::S]$Lisp_
- ,"resid"::S,["a"::S,"la"::S,"nplus2"::S]$Lisp,["b"::S,"m"::S]$Lisp]$Lisp_
- ,["integer"::S,"m"::S,"la"::S,"nplus2"::S,"irank"::S_
- ,"iter"::S,"ifail"::S,["iwork"::S,"m"::S]$Lisp]$Lisp_
- ]$Lisp,_
- ["x"::S,"resid"::S,"irank"::S,"iter"::S,"a"::S,"b"::S,"ifail"::S]$Lisp,_
- [([mArg::Any,laArg::Any,nplus2Arg::Any,tolerArg::Any,ifailArg::Any,aArg::Any,bArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
- e02zaf(pxArg:Integer,pyArg:Integer,lamdaArg:Matrix DoubleFloat,_
- muArg:Matrix DoubleFloat,mArg:Integer,xArg:Matrix DoubleFloat,_
- yArg:Matrix DoubleFloat,npointArg:Integer,nadresArg:Integer,_
- ifailArg:Integer): Result ==
- [(invokeNagman(NIL$Lisp,_
- "e02zaf",_
- ["px"::S,"py"::S,"m"::S,"npoint"::S,"nadres"::S_
- ,"ifail"::S,"lamda"::S,"mu"::S,"x"::S,"y"::S,"point"::S_
- ,"adres"::S]$Lisp,_
- ["point"::S,"adres"::S]$Lisp,_
- [["double"::S,["lamda"::S,"px"::S]$Lisp,["mu"::S,"py"::S]$Lisp_
- ,["x"::S,"m"::S]$Lisp,["y"::S,"m"::S]$Lisp]$Lisp_
- ,["integer"::S,"px"::S,"py"::S,"m"::S,"npoint"::S_
- ,"nadres"::S,["point"::S,"npoint"::S]$Lisp,"ifail"::S,["adres"::S,"nadres"::S]$Lisp]$Lisp_
- ]$Lisp,_
- ["point"::S,"ifail"::S]$Lisp,_
- [([pxArg::Any,pyArg::Any,mArg::Any,npointArg::Any,nadresArg::Any,ifailArg::Any,lamdaArg::Any,muArg::Any,xArg::Any,yArg::Any ])_
- @List Any]$Lisp)$Lisp)_
- pretend List (Record(key:Symbol,entry:Any))]$Result
-
-@
-\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>>
-
-<<package NAGE02 NagFittingPackage>>
-@
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}