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diff --git a/src/algebra/e02.spad.pamphlet b/src/algebra/e02.spad.pamphlet deleted file mode 100644 index 3a06e977..00000000 --- a/src/algebra/e02.spad.pamphlet +++ /dev/null @@ -1,588 +0,0 @@ -\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} |