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Diffstat (limited to 'src/interp/nag-e02b.boot.pamphlet')
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diff --git a/src/interp/nag-e02b.boot.pamphlet b/src/interp/nag-e02b.boot.pamphlet deleted file mode 100644 index 85f29cfb..00000000 --- a/src/interp/nag-e02b.boot.pamphlet +++ /dev/null @@ -1,1759 +0,0 @@ -\documentclass{article} -\usepackage{axiom} -\begin{document} -\title{\$SPAD/src/interp nag-e02b.boot} -\author{The Axiom Team} -\maketitle -\begin{abstract} -\end{abstract} -\eject -\tableofcontents -\eject -\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 "BOOT" - --- READ THIS NOW! --- --- The automatic make fails to compile this file properly, leaving a --- truncated clisp file in int/interp. So if you change this file it --- must be compiled by hand in the interpreter (which works fine). --- MCD. --- - -e02daf() == - htInitPage('"E02DAF - Least-squares surface fit, bicubic splines",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXe02daf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02daf| '|NagFittingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Determines a minimal, least squares bicubic B-spline surface fit") - (text . "\htbitmap{e02daf} to the set of points ") - (text . "{\em (\htbitmap{xr},\htbitmap{yr},\htbitmap{fr})} with weights ") - (text . "\htbitmap{wr}, for r = 1,2,...,m. The user must supply internal ") - (text . "knot sets {\lambda},in the x-direction and {\mu} in the ") - (text . "y-direction, ") - (text . "which can be thought of as dividing the data region into panels;") - (text . "s(x,y) consists of a seperate bicubic polynomial in each panel, ") - (text . "the polynomial joining together with second derivative ") - (text . "continuity. Eight additional (external) knots are added to each ") - (text . "of the knot sets by this routine. The routine minimizes \Sigma, ") - (text . "the sum of squares of the weighted residuals ") - (text . "\htbitmap{e02daf1}, for r = 1,2,...,m, subject to the ") - (text . "given knot sets. \newline ") - (text . "A call of this routine should be preceded by a call of E02ZAF ") - (text . "to provide indexing information. ") - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} \newline ") - (text . "Number of data points {\it m}: ") - (text . "\newline\tab{2} ") - (bcStrings (6 30 m PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\newline Knots in x direction {\em px}") - (text . "\htbitmap{great=} 8: \tab{32} \menuitemstyle{}\tab{34}") - (text . "Knots in y direction {\em py}:") - (text . "\newline\tab{2} ") - (bcStrings (6 8 px PI)) - (text . "\tab{34} ") - (bcStrings (6 10 py PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\newline Rank threshold {\em eps}:") - (text . "\newline\tab{2} ") - (bcStrings (10 "0.000001" eps F)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} \newline ") - (text . "Dimension of point {\it npoint}: ") - (text . "\newline\tab{2} ") - (bcStrings (6 43 npoint PI)) - -- include a radio button later to allow switching of - -- x & y if px <= py - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Ifail value: ") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'e02dafSolve) - htShowPage() - -e02dafSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - px := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'px) - objValUnwrap htpLabelSpadValue(htPage, 'px) - py := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'py) - objValUnwrap htpLabelSpadValue(htPage, 'py) - npoint := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'npoint) - objValUnwrap htpLabelSpadValue(htPage, 'npoint) - nc := (px - 4)*(py - 4) - nws := (2*nc + 1)*(3*py - 6) -2 - eps := htpLabelInputString(htPage,'eps) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - ((m = '30 and px = '8) and py = '10) => e02dafDefaultSolve(htPage,eps,nws,npoint,ifail) - labelList := - "append"/[fxy(i) for i in 1..m] where fxy(i) == - prefix := ('"\newline \tab{2} ") - middle := ('"\tab{17} ") - next := ('"\tab{32} ") - end := ('"\tab{47} ") - xnam := INTERN STRCONC ('"x",STRINGIMAGE i) - ynam := INTERN STRCONC ('"y",STRINGIMAGE i) - fnam := INTERN STRCONC ('"f",STRINGIMAGE i) - wnam := INTERN STRCONC ('"w",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[8, 0.0, xnam, 'F]], - ['text,:middle],['bcStrings,[8, 0.0, ynam, 'F]], - ['text,:next],['bcStrings,[8, 0.0, fnam, 'F]], - ['text,:end],['bcStrings,[8, 0.0, wnam, 'F]]] - lamList := - "append"/[flam(i) for i in 5..(px-4)] where flam(i) == - lnam := INTERN STRCONC ('"l",STRINGIMAGE i) - [['bcStrings,[8, 0.0, lnam, 'F]]] - prefix := ('"\blankline \menuitemstyle{} \tab{2} lamda(5) to lamda(px-4): ") - prefix := STRCONC(prefix,"\newline \tab{2} ") - postfix := ('"\newline \blankline ") - lamList := [['text,:prefix],:lamList,['text,:postfix]] - muList := - "append"/[fmu(i) for i in 5..(py-4)] where fmu(i) == - mnam := INTERN STRCONC ('"m",STRINGIMAGE i) - [['bcStrings,[8, 0.0, mnam, 'F]]] - prefix := ('"\menuitemstyle{} \tab{2} mu(5) to mu(py-4):") - prefix := STRCONC(prefix,"\newline \tab{2} ") - muList := [['text,:prefix],:muList] - pList := - "append"/[fp(i) for i in 1..npoint] where fp(i) == - prefix := ('"\newline \tab{2} ") - pnam := INTERN STRCONC ('"p",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[8, 0.0, pnam, 'F]]] - prefix := ('"\blankline \menuitemstyle{} \tab{2} Enter values of Point: ") - pList := [['text,:prefix],:pList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :labelList,:lamList,:muList,:pList] - page := htInitPage('"E02DAF - Least-squares surface fit, bicubic splines",nil) - htSay '"\menuitemstyle{}\tab{2} Values of \htbitmap{xr}: " - htSay '"\tab{15} \menuitemstyle{}\tab{17} Values of \htbitmap{yr}:" - htSay '"\tab{30} \menuitemstyle{}\tab{32} Values of \htbitmap{fr}:" - htSay '"\tab{44} \menuitemstyle{}\tab{46} Values of \htbitmap{wr}:" - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'e02dafGen) - htpSetProperty(page,'m,m) - htpSetProperty(page,'px,px) - htpSetProperty(page,'py,py) - htpSetProperty(page,'nws,nws) - htpSetProperty(page,'eps,eps) - htpSetProperty(page,'npoint,npoint) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -e02dafDefaultSolve (htPage,eps,nws,npoint,ifail) == - m := '30 - px := '8 - py := '10 - page := htInitPage('"E02DAF - Least-squares surface fit, bicubic splines",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Values of \htbitmap{xr}:") - (text . "\tab{15} \menuitemstyle{} \tab{17} Values of ") - (text . "\htbitmap{yr}: \tab{30} \menuitemstyle{} \tab{32} ") - (text . "Values of \htbitmap{fr}: \tab{44} \menuitemstyle{} ") - (text . "\tab{46} Values of \htbitmap{wr}:") - (text . "\newline \tab{2} ") - (bcStrings (8 "-0.52" x1 F)) - (text . "\tab{17}") - (bcStrings (8 "0.60" y1 F)) - (text . "\tab{32}") - (bcStrings (8 "0.93" f1 F)) - (text . "\tab{47}") - (bcStrings (8 "10" w1 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "-0.61" x2 F)) - (text . "\tab{17}") - (bcStrings (8 "-0.95" y2 F)) - (text . "\tab{32}") - (bcStrings (8 "-1.79" f2 F)) - (text . "\tab{47}") - (bcStrings (8 "10" w2 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "0.93" x3 F)) - (text . "\tab{17}") - (bcStrings (8 "0.87" y3 F)) - (text . "\tab{32}") - (bcStrings (8 "0.36" f3 F)) - (text . "\tab{47}") - (bcStrings (8 "10" w3 F)) - (text . 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"\newline \tab{2}") - (bcStrings (6 18 p14 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 16 p15 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 17 p16 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 19 p17 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 20 p18 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 21 p19 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 30 p20 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 23 p21 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 26 p22 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 24 p23 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 25 p24 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 27 p25 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 28 p26 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 0 p27 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 29 p28 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 0 p29 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 0 p30 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 2 p31 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 22 p32 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 1 p33 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 0 p34 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 0 p35 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 0 p36 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 0 p37 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 0 p38 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 0 p39 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 0 p40 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 0 p41 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 0 p42 PI)) - (text . "\newline \tab{2}") - (bcStrings (6 0 p43 PI)) - (text . "\blankline")) - htMakeDoneButton('"Continue",'e02dafGen) - htpSetProperty(page,'m,m) - htpSetProperty(page,'px,px) - htpSetProperty(page,'py,py) - htpSetProperty(page,'nws,nws) - htpSetProperty(page,'eps,eps) - htpSetProperty(page,'npoint,npoint) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -e02dafGen htPage == - m := htpProperty(htPage,'m) - px := htpProperty(htPage,'px) - py := htpProperty(htPage,'py) - nws := htpProperty(htPage,'nws) - eps := htpProperty(htPage,'eps) - npoint := htpProperty(htPage,'npoint) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - nadres := (px-7)*(py-7) - -- point - for i in 1..npoint repeat - right := STRCONC ((first y).1," ") - y := rest y - pointList := [right,:pointList] - pstring := bcwords2liststring pointList - -- mu - for i in 1..4 repeat - muList := ['"0 ",:muList] - for i in 5..(py-4) repeat - right := STRCONC ((first y).1," ") - y := rest y - muList := [right,:muList] - for i in (py-3)..py repeat - muList := ['"0 ",:muList] - mustring := bcwords2liststring muList - -- lamda - for i in 1..4 repeat - lamList := ['"0 ",:lamList] - for i in 5..(px-4) repeat - right := STRCONC ((first y).1," ") - y := rest y - lamList := [right,:lamList] - for i in (px-3)..px repeat - lamList := ['"0 ",:lamList] - lamstring := bcwords2liststring lamList - -- x & y - while y repeat - one := STRCONC((first y).1," ") - y := rest y - two := STRCONC((first y).1," ") - y := rest y - three := STRCONC ((first y).1," ") - y := rest y - four := STRCONC ((first y).1," ") - y := rest y - xlist := [four,:xlist] - ylist := [three,:ylist] - flist := [two,:flist] - wlist := [one,:wlist] - xstring := bcwords2liststring xlist - ystring := bcwords2liststring ylist - fstring := bcwords2liststring flist - wstring := bcwords2liststring wlist - nc := (px-4)*(py-4) - prefix := STRCONC('"e02daf(",STRINGIMAGE m,", ",STRINGIMAGE px,", ") - prefix := STRCONC(prefix,STRINGIMAGE py,",[",xstring,"],[",ystring,"],[") - prefix := STRCONC(prefix,fstring,"],[",wstring,"],[",mustring,"],[") - prefix := STRCONC(prefix,pstring,"], ",STRINGIMAGE npoint,", ") - prefix := STRCONC(prefix,STRINGIMAGE nc,", ",STRINGIMAGE nws,", ",eps,", [") - prefix := STRCONC(prefix,lamstring,"], ",STRINGIMAGE ifail,")") - linkGen prefix - - -e02dcf() == - htInitPage('"E02DCF - Least-squares curve by bicubic splines with automatic knot placement, data on a rectangular grid",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXe02dcf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02dcf| '|NagFittingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "Determines a bicubic spline approximation to a set of points ") - (text . "given on a rectangular grid defined by \htbitmap{mx} ") - (text . "points \htbitmap{xq} on the x-axis and ") - (text . "\htbitmap{my} points \htbitmap{yr} on the ") - (text . "y-axix. The knots \htbitmap{lamdai}, for i = 1,2,...,") - (text . "\htbitmap{nx} and \htbitmap{mui}, for ") - (text . "i = 1,2,...,\htbitmap{ny} are chosen for this routine ") - (text . ", but a single parameter S must be specified to control the ") - (text . "trade-off between closeness of fit and smoothness of fit. This ") - (text . "affects the number of knots required by the spline, which is ") - (text . "given in the B-spline representation \htbitmap{e02daf}") - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} \newline ") - (text . "Grid points on x-axis \htbitmap{mx}: ") - (text . "\tab{30} \menuitemstyle{}\tab{32} Grid points on y-axis ") - (text . "\htbitmap{my}: ") - (text . "\newline\tab{2} ") - (bcStrings (6 11 mx PI)) - (text . "\tab{32} ") - (bcStrings (6 9 my PI)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} ") - (text . "Over-estimate of \htbitmap{nx} of knots \lambda of the ") - (text . "computed spline, {\it nxest}: \newline\tab{2} ") - (bcStrings (6 15 nxest PI)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} ") - (text . "Over-estimate of \htbitmap{ny} of knots \mu of the computed ") - (text . "spline, {\it nyest}: \newline\tab{2} ") - (bcStrings (6 13 nyest PI)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} \newline ") - (text . "Smoothing factor {\it s}: ") - (text . "\newline\tab{2} ") - (bcStrings (6 "0.1" s F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Start value: ") - (radioButtons start - ("" " Cold Start - no values needed for {\it nx,ny,lamda,mu} or {\it iwrk}" cold) - ("" " Warm Start - uses knots found in a previous call" warm)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Ifail value: ") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'e02dcfSolve) - htShowPage() - -e02dcfSolve htPage == - mx := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'mx) - objValUnwrap htpLabelSpadValue(htPage, 'mx) - my := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'my) - objValUnwrap htpLabelSpadValue(htPage, 'my) - nxest := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nxest) - objValUnwrap htpLabelSpadValue(htPage, 'nxest) - nyest := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nyest) - objValUnwrap htpLabelSpadValue(htPage, 'nyest) - wrklist := [my,nxest] - wrkmax := APPLY ('MAX, wrklist) - lwrk := 4*(mx + my) +11*(nxest + nyest) + nxest*my + wrkmax +54 - liwrk := 3 + mx + my + nxest + nyest - s := htpLabelInputString(htPage,'s) - initial := htpButtonValue(htPage,'start) - start := - initial = 'cold => '1 - '2 - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - ((mx = 11 and my = 9) and start = 1) => - e02dcfDefaultSolve (htPage,nxest,nyest,lwrk,liwrk,s,ifail) - start = 1 => e02dcfColdSolve (htPage,mx,my,nxest,nyest,lwrk,liwrk,s,ifail) - -- warm start not really possible from hyperdoc - -- as inputing a workspace array of dimension 592 is asking too much - -- user should use the command line, using the previous calculated - -- parameters - htInitPage('"E02DCF - Least-squares curve by bicubic splines with automatic knot placement, data on a rectangular grid",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\blankline ") - (text . "{\center{\em Hyperdoc interface not available for warm starts.}}") - (text . "\newline ") - (text . "{\center{\em Please use the command line.}}")) - htMakeDoneButton('"Continue",'e02dcf) - htShowPage() - - - -e02dcfColdSolve(htPage,mx,my,nxest,nyest,lwrk,liwrk,s,ifail) == - xList := - "append"/[f(i) for i in 1..mx] where f(i) == - xnam := INTERN STRCONC ('"x",STRINGIMAGE i) - [['bcStrings,[8, 0.0, xnam, 'F]]] - yList := - "append"/[g(i) for i in 1..my] where g(i) == - ynam := INTERN STRCONC ('"g",STRINGIMAGE i) - [['bcStrings,[8, 0.0, ynam, 'F]]] - prefix:= ('"\blankline \menuitemstyle{}\tab{2} Values of {\it y(my)}: \newline ") - yList := [['text,:prefix],:yList] - fList := - "append"/[h(i) for i in 1..(mx*my)] where h(i) == - fnam := INTERN STRCONC ('"g",STRINGIMAGE i) - [['bcStrings,[8, 0.0, fnam, 'F]]] - prefix:=('"\blankline \menuitemstyle{} \tab{2} Values of {\it f(mx*my)}: \newline ") - fList := [['text,:prefix],:fList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :xList,:yList,:fList] - page := htInitPage('"E02DCF - Least-squares curve by bicubic splines with automatic knot placement, data on a rectangular grid",nil) - htSay '"\menuitemstyle{}\tab{2} Values of {\it x(mx)}: \newline " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'e02dcfColdGen) - htpSetProperty(page,'mx,mx) - htpSetProperty(page,'my,my) - htpSetProperty(page,'nxest,nxest) - htpSetProperty(page,'nyest,nyest) - htpSetProperty(page,'lwrk,lwrk) - htpSetProperty(page,'liwrk,liwrk) - htpSetProperty(page,'s,s) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -e02dcfDefaultSolve (htPage,nxest,nyest,lwrk,liwrk,s,ifail) == - mx := 11 - my := 9 - page := htInitPage('"E02DCF - Least-squares curve by bicubic splines with automatic knot placement, data on a rectangular grid",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Values of {\it x(mx)}:") - (text . "\newline ") - (bcStrings (8 "0" x1 F)) - (bcStrings (8 "0.5" x2 F)) - (bcStrings (8 "1" x3 F)) - (bcStrings (8 "1.5" x4 F)) - (bcStrings (8 "2" x5 F)) - (bcStrings (8 "2.5" x6 F)) - (bcStrings (8 "3" x7 F)) - (bcStrings (8 "3.5" x8 F)) - (bcStrings (8 "4" x9 F)) - (bcStrings (8 "4.5" x10 F)) - (bcStrings (8 "5" x11 F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2} Values of {\it y(my)}:") - (text . "\newline ") - (bcStrings (8 "0" y1 F)) - (bcStrings (8 "0.5" y2 F)) - (bcStrings (8 "1" y3 F)) - (bcStrings (8 "1.5" y4 F)) - (bcStrings (8 "2" y5 F)) - (bcStrings (8 "2.5" y6 F)) - (bcStrings (8 "3" y7 F)) - (bcStrings (8 "3.5" y8 F)) - (bcStrings (8 "4" y9 F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2} Values of {\it f(mx*my)}:") - (text . "\newline ") - (bcStrings (8 "1" f1 F)) - (bcStrings (8 "0.88758" f2 F)) - (bcStrings (8 "0.5403" f3 F)) - (bcStrings (8 "0.070737" f4 F)) - (bcStrings (8 "-0.41515" f5 F)) - (bcStrings (8 "-0.80114" f6 F)) - (bcStrings (8 "-0.97999" f7 F)) - (bcStrings (8 "-0.93446" f8 F)) - (bcStrings (8 "-0.65664" f9 F)) - (bcStrings (8 "1.5" f10 F)) - (bcStrings (8 "1.3564" f11 F)) - (bcStrings (8 "0.82045" f12 F)) - (bcStrings (8 "0.10611" f13 F)) - (bcStrings (8 "-0.62422" f14 F)) - (bcStrings (8 "-1.2317" f15 F)) - (bcStrings (8 "-1.485" f16 F)) - (bcStrings (8 "-1.3047" f17 F)) - (bcStrings (8 "-0.98547" f18 F)) - (bcStrings (8 "2.06" f19 F)) - (bcStrings (8 "1.7552" f20 F)) - (bcStrings (8 "1.0806" f21 F)) - (bcStrings (8 "0.15147" f22 F)) - (bcStrings (8 "-0.83229" f23 F)) - (bcStrings (8 "-1.6023" f24 F)) - (bcStrings (8 "-1.97" f25 F)) - (bcStrings (8 "-1.8729" f26 F)) - (bcStrings (8 "-1.4073" f27 F)) - (bcStrings (8 "2.57" f28 F)) - (bcStrings (8 "2.124" f29 F)) - (bcStrings (8 "1.3508" f30 F)) - (bcStrings (8 "0.17684" f31 F)) - (bcStrings (8 "-1.0404" f32 F)) - (bcStrings (8 "-2.0029" f33 F)) - (bcStrings (8 "-2.475" f34 F)) - (bcStrings (8 "-2.3511" f35 F)) - (bcStrings (8 "-1.6741" f36 F)) - (bcStrings (8 "3" f37 F)) - (bcStrings (8 "2.6427" f38 F)) - (bcStrings (8 "1.6309" f39 F)) - (bcStrings (8 "0.21221" f40 F)) - (bcStrings (8 "-1.2484" f41 F)) - (bcStrings (8 "-2.2034" f42 F)) - (bcStrings (8 "-2.97" f43 F)) - (bcStrings (8 "-2.8094" f44 F)) - (bcStrings (8 "-1.9809" f45 F)) - (bcStrings (8 "3.5" f46 F)) - (bcStrings (8 "3.1715" f47 F)) - (bcStrings (8 "1.8611" f48 F)) - (bcStrings (8 "0.24458" f49 F)) - (bcStrings (8 "-1.4565" f50 F)) - (bcStrings (8 "-2.864" f51 F)) - (bcStrings (8 "-3.265" f52 F)) - (bcStrings (8 "-3.2776" f53 F)) - (bcStrings (8 "-2.2878" f54 F)) - (bcStrings (8 "4.04" f55 F)) - (bcStrings (8 "3.5103" f56 F)) - (bcStrings (8 "2.0612" f57 F)) - (bcStrings (8 "0.28595" f58 F)) - (bcStrings (8 "-1.6946" f59 F)) - (bcStrings (8 "-3.2046" f60 F)) - (bcStrings (8 "-3.96" f61 F)) - (bcStrings (8 "-3.7958" f62 F)) - (bcStrings (8 "-2.6146" f63 F)) - (bcStrings (8 "4.5" f64 F)) - (bcStrings (8 "3.9391" f65 F)) - (bcStrings (8 "2.4314" f66 F)) - (bcStrings (8 "0.31632" f67 F)) - (bcStrings (8 "-1.8627" f68 F)) - (bcStrings (8 "-3.6351" f69 F)) - (bcStrings (8 "-4.455" f70 F)) - (bcStrings (8 "-4.2141" f71 F)) - (bcStrings (8 "-2.9314" f72 F)) - (bcStrings (8 "5.04" f73 F)) - (bcStrings (8 "4.3879" f74 F)) - (bcStrings (8 "2.7515" f75 F)) - (bcStrings (8 "0.35369" f76 F)) - (bcStrings (8 "-2.0707" f77 F)) - (bcStrings (8 "-4.0057" f78 F)) - (bcStrings (8 "-4.97" f79 F)) - (bcStrings (8 "-4.6823" f80 F)) - (bcStrings (8 "-3.2382" f81 F)) - (bcStrings (8 "5.505" f82 F)) - (bcStrings (8 "4.8367" f83 F)) - (bcStrings (8 "2.9717" f84 F)) - (bcStrings (8 "0.38505" f85 F)) - (bcStrings (8 "-2.2888" f86 F)) - (bcStrings (8 "-4.4033" f87 F)) - (bcStrings (8 "-5.445" f88 F)) - (bcStrings (8 "-5.1405" f89 F)) - (bcStrings (8 "-3.595" f90 F)) - (bcStrings (8 "6" f91 F)) - (bcStrings (8 "5.2755" f92 F)) - (bcStrings (8 "3.2418" f93 F)) - (bcStrings (8 "0.42442" f94 F)) - (bcStrings (8 "-2.4769" f95 F)) - (bcStrings (8 "-4.8169" f96 F)) - (bcStrings (8 "-5.93" f97 F)) - (bcStrings (8 "-5.6387" f98 F)) - (bcStrings (8 "-3.9319" f99 F))) - htMakeDoneButton('"Continue",'e02dcfColdGen) - htpSetProperty(page,'mx,mx) - htpSetProperty(page,'my,my) - htpSetProperty(page,'nxest,nxest) - htpSetProperty(page,'nyest,nyest) - htpSetProperty(page,'lwrk,lwrk) - htpSetProperty(page,'liwrk,liwrk) - htpSetProperty(page,'s,s) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -e02dcfColdGen htPage == - mx := htpProperty(htPage,'mx) - my := htpProperty(htPage,'my) - nxest := htpProperty(htPage,'nxest) - nyest := htpProperty(htPage,'nyest) - lwrk := htpProperty(htPage,'lwrk) - liwrk := htpProperty(htPage,'liwrk) - s := htpProperty(htPage,'s) - cold := '"c" - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..(mx*my) repeat - end := STRCONC((first y).1," ") - y := rest y - fList := [end,:fList] - fstring := bcwords2liststring fList - for i in 1..my repeat - mid := STRCONC ((first y).1," ") - y := rest y - ylist := [mid,:ylist] - ystring := bcwords2liststring ylist - while y repeat - start := STRCONC ((first y).1," ") - y := rest y - xlist := [start,:xlist] - xstring := bcwords2liststring xlist - -- additional entries needed to get it running - -- but as Start = c they are not used - prefix := STRCONC('"e02dcf(_"",cold,"_",",STRINGIMAGE mx,", [",xstring,"],") - prefix := STRCONC(prefix,STRINGIMAGE my,",[",ystring,"],[",fstring,"], ") - prefix := STRCONC(prefix,STRINGIMAGE s,", ",STRINGIMAGE nxest,", ") - prefix := STRCONC(prefix,STRINGIMAGE nyest,", ",STRINGIMAGE lwrk,", ") - prefix := STRCONC(prefix,STRINGIMAGE liwrk,",0,new(1,", STRINGIMAGE nxest,",0.0)$MATRIX DFLOAT,") - prefix := STRCONC(prefix,"0,new(1,", STRINGIMAGE nyest,",0.0)$MATRIX DFLOAT,") - end := STRCONC("new(1,", STRINGIMAGE lwrk,",0.0)$MATRIX DFLOAT,[[0 for i in 1..") - end := STRCONC(end,STRINGIMAGE liwrk,"]]::Matrix Integer,",STRINGIMAGE ifail,")") - linkGen STRCONC(prefix,end) - - -e02ddf() == - htInitPage('"E02DDF - Least-squares surface fit by bicubic splines with automatic knot placement, scattered data",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXe02ddf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02ddf| '|NagFittingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "Determines a bicubic spline approximation to a set of scattered") - (text . " points ( \htbitmap{xr},\htbitmap{yr}, ") - (text . "\htbitmap{fr})") - (text . "with weights \htbitmap{wr}, for r = 1,2,...,m. ") - (text . "The knots \htbitmap{lamdai}, for i = 1,2,...,") - (text . "\htbitmap{nx} and \htbitmap{mui}, for ") - (text . "i = 1,2,...,\htbitmap{ny} are chosen by the routine ") - (text . ", but a single parameter S must be specified to control the ") - (text . "trade-off between closeness of fit and smoothness of fit. This ") - (text . "affects the number of knots required by the spline, which is ") - (text . "given in the B-spline representation \htbitmap{e02daf}") - (text . "\newline \menuitemstyle{}\tab{2} \newline ") - (text . "Number of data points {\it m}: ") - (text . "\newline\tab{2} ") - (bcStrings (6 30 m PI)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} ") - (text . "Over-estimate of \htbitmap{nx} of knots \lambda of the ") - (text . "computed spline, {\it nxest}: \newline\tab{2} ") - (bcStrings (6 14 nxest PI)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} ") - (text . "Over-estimate of \htbitmap{ny} of knots \mu of the computed ") - (text . "spline, {\it nyest}: \newline\tab{2} ") - (bcStrings (6 14 nyest PI)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} \newline ") - (text . "Smoothing factor {\it s}: ") - (text . "\newline\tab{2} ") - (bcStrings (6 "10" s F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Start value: ") - (radioButtons start - ("" " Cold Start - no values needed for {\it nx,ny,lamda,wrk,iwrk}" cold) - ("" " Warm Start - uses knots found in a previous call" warm)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Ifail value: ") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'e02ddfSolve) - htShowPage() - -e02ddfSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - nxest := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nxest) - objValUnwrap htpLabelSpadValue(htPage, 'nxest) - nyest := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nyest) - objValUnwrap htpLabelSpadValue(htPage, 'nyest) - u := nxest - 4 - v := nyest - 4 - wlist := [u,v] - w := APPLY ('MAX, wlist) - lwrk := (7*u*v + 25*w)*(w + 1) + 2*(u + v + 4*m) + 23*w + 56 - liwrk := m + 2*(nxest - 7)*(nyest - 7) - s := htpLabelInputString(htPage,'s) - initial := htpButtonValue(htPage,'start) - start := - initial = 'cold => '1 - '2 - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (m = 30 and start = 1) => e02ddfDefaultSolve (htPage,nxest,nyest,lwrk,liwrk,s,ifail) - start = 1 => e02ddfColdSolve (htPage,m,nxest,nyest,lwrk,liwrk,s,ifail) - -- need to change as only wrk(1) is required - labelList := - "append"/[f(i) for i in 1..m] where f(i) == - prefix := ('"\newline \tab{2} ") - middle := ('"\tab{17} ") - post := ('"\tab{32} ") - end := ('"\tab{47} ") - xnam := INTERN STRCONC ('"x",STRINGIMAGE i) - ynam := INTERN STRCONC ('"y",STRINGIMAGE i) - fnam := INTERN STRCONC ('"f",STRINGIMAGE i) - wnam := INTERN STRCONC ('"w",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[8, 0.0, xnam, 'F]], - ['text,:middle],['bcStrings,[8, 0.0, ynam, 'F]], - ['text,:post],['bcStrings,[8, 0.0, fnam, 'F]], - ['text,:end],['bcStrings,[8, 0.0, wnam, 'F]]] - lamdaList := - "append"/[g(i) for i in 1..nxest] where g(i) == - lnam := INTERN STRCONC ('"l",STRINGIMAGE i) - [['bcStrings,[8, 0.0, lnam, 'F]]] - prefix := ('"\blankline \menuitemstyle{} \tab{2} Values of Lamda: \newline") - lamdaList := [['text,:prefix],:lamdaList] - muList := - "append"/[h(i) for i in 1..nyest] where h(i) == - mnam := INTERN STRCONC ('"m",STRINGIMAGE i) - [['bcStrings,[8, 0.0, mnam, 'F]]] - prefix := ('"\blankline \menuitemstyle{} \tab{2} Values of Mu: \newline") - muList := [['text,:prefix],:muList] - prefix := ('"\blankline \menuitemstyle{} \tab{2} Value of nx: \newline \tab{2}") - nxList := [['text,:prefix],['bcStrings,[8, 10, 'nx, 'PI]]] - prefix := ('"\blankline \menuitemstyle{} \tab{2} Value of ny: \newline \tab{2}") - nyList := [['text,:prefix],['bcStrings,[8, 9, 'ny, 'PI]]] - prefix := ('"\blankline \menuitemstyle{} \tab{2} Value of WRK(1): \newline \tab{2}") - wList := [['text,:prefix],['bcStrings,[8, 0.0, 'wone, 'F]]] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :labelList,:lamdaList,:muList,:nxList,:nyList,:wList] - page := htInitPage('"E02DDF - Least-squares surface fit by bicubic splines with automatic knot placement, scattered data",nil) - htSay '"\menuitemstyle{}\tab{2} Values of \space{1} " - htSay '"\htbitmap{xr}: \tab{15} \menuitemstyle{}\tab{17} " - htSay '"Values of \space{1} \htbitmap{yr}: \tab{30}" - htSay '"\menuitemstyle{}\tab{32} Values of \space{1} " - htSay '"\htbitmap{fr}: \tab{45} \menuitemstyle{} " - htSay '"\tab{47} Values of \htbitmap{wr}:" - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'e02ddfWarmGen) - htpSetProperty(page,'m,m) - htpSetProperty(page,'nxest,nxest) - htpSetProperty(page,'nyest,nyest) - htpSetProperty(page,'lwrk,lwrk) - htpSetProperty(page,'liwrk,liwrk) - htpSetProperty(page,'s,s) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - - - -e02ddfColdSolve(htPage,m,nxest,nyest,lwrk,liwrk,s,ifail) == - labelList := - "append"/[f(i) for i in 1..m] where f(i) == - prefix := ('"\newline \tab{2} ") - middle := ('"\tab{17} ") - post := ('"\tab{32} ") - end := ('"\tab{47} ") - xnam := INTERN STRCONC ('"x",STRINGIMAGE i) - ynam := INTERN STRCONC ('"y",STRINGIMAGE i) - fnam := INTERN STRCONC ('"f",STRINGIMAGE i) - wnam := INTERN STRCONC ('"w",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[8, 0.0, xnam, 'F]], - ['text,:middle],['bcStrings,[8, 0.0, ynam, 'F]], - ['text,:post],['bcStrings,[8, 0.0, fnam, 'F]], - ['text,:end],['bcStrings,[8, 0.0, wnam, 'F]]] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :labelList] - page := htInitPage('"E02DDF - Least-squares surface fit by bicubic splines with automatic knot placement, scattered data",nil) - htSay '"\menuitemstyle{}\tab{2} Values of \space{1} " - htSay '"\htbitmap{xr}: \tab{15} \menuitemstyle{}\tab{17} " - htSay '"Values of \space{1} \htbitmap{yr}: \tab{30}" - htSay '"\menuitemstyle{}\tab{32} Values of \space{1} " - htSay '"\htbitmap{fr}: \tab{44} \menuitemstyle{} " - htSay '"\tab{46} Values of \htbitmap{wr}:" - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'e02ddfColdGen) - htpSetProperty(page,'m,m) - htpSetProperty(page,'nxest,nxest) - htpSetProperty(page,'nyest,nyest) - htpSetProperty(page,'lwrk,lwrk) - htpSetProperty(page,'liwrk,liwrk) - htpSetProperty(page,'s,s) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -e02ddfDefaultSolve (htPage,nxest,nyest,lwrk,liwrk,s,ifail) == - m := 30 - page := htInitPage('"E02DDF - Least-squares surface fit by bicubic splines with automatic knot placement, scattered data",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Values of \htbitmap{xr}:") - (text . "\tab{15} \menuitemstyle{} \tab{17} Values of ") - (text . "\htbitmap{yr}: \tab{30} \menuitemstyle{} \tab{32} ") - (text . "Values of \htbitmap{fr}: \tab{44} \menuitemstyle{} ") - (text . "\tab{46} Values of \htbitmap{wr}:") - (text . "\newline \tab{2} ") - (bcStrings (8 "11.16" x1 F)) - (text . "\tab{17}") - (bcStrings (8 "1.24" y1 F)) - (text . "\tab{32}") - (bcStrings (8 "22.15" f1 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w1 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "12.85" x2 F)) - (text . "\tab{17}") - (bcStrings (8 "3.06" y2 F)) - (text . "\tab{32}") - (bcStrings (8 "22.11" f2 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w2 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "19.85" x3 F)) - (text . "\tab{17}") - (bcStrings (8 "10.72" y3 F)) - (text . "\tab{32}") - (bcStrings (8 "7.97" f3 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w3 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "19.72" x4 F)) - (text . "\tab{17}") - (bcStrings (8 "1.39" y4 F)) - (text . "\tab{32}") - (bcStrings (8 "16.83" f4 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w4 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "15.91" x5 F)) - (text . "\tab{17}") - (bcStrings (8 "7.74" y5 F)) - (text . "\tab{32}") - (bcStrings (8 "15.30" f5 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w5 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "0" x6 F)) - (text . "\tab{17}") - (bcStrings (8 "20" y6 F)) - (text . "\tab{32}") - (bcStrings (8 "34.6" f6 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w6 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "20.87" x7 F)) - (text . "\tab{17}") - (bcStrings (8 "20" y7 F)) - (text . "\tab{32}") - (bcStrings (8 "5.74" f7 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w7 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "3.45" x8 F)) - (text . "\tab{17}") - (bcStrings (8 "12.78" y8 F)) - (text . "\tab{32}") - (bcStrings (8 "41.24" f8 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w8 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "14.26" x9 F)) - (text . "\tab{17}") - (bcStrings (8 "17.87" y9 F)) - (text . "\tab{32}") - (bcStrings (8 "10.74" f9 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w9 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "17.43" x10 F)) - (text . "\tab{17}") - (bcStrings (8 "3.46" y10 F)) - (text . "\tab{32}") - (bcStrings (8 "18.60" f10 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w10 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "22.8" x11 F)) - (text . "\tab{17}") - (bcStrings (8 "12.39" y11 F)) - (text . "\tab{32}") - (bcStrings (8 "5.47" f11 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w11 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "7.58" x12 F)) - (text . "\tab{17}") - (bcStrings (8 "1.98" y12 F)) - (text . "\tab{32}") - (bcStrings (8 "29.87" f12 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w12 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "25" x13 F)) - (text . "\tab{17}") - (bcStrings (8 "11.87" y13 F)) - (text . "\tab{32}") - (bcStrings (8 "4.4" f13 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w13 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "0" x14 F)) - (text . "\tab{17}") - (bcStrings (8 "0" y14 F)) - (text . "\tab{32}") - (bcStrings (8 "58.2" f14 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w14 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "9.66" x15 F)) - (text . "\tab{17}") - (bcStrings (8 "20" y15 F)) - (text . "\tab{32}") - (bcStrings (8 "4.73" f15 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w15 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "5.22" x16 F)) - (text . "\tab{17}") - (bcStrings (8 "14.66" y16 F)) - (text . "\tab{32}") - (bcStrings (8 "40.36" f16 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w16 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "17.25" x17 F)) - (text . "\tab{17}") - (bcStrings (8 "19.57" y17 F)) - (text . "\tab{32}") - (bcStrings (8 "6.43" f17 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w17 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "25" x18 F)) - (text . "\tab{17}") - (bcStrings (8 "3.87" y18 F)) - (text . "\tab{32}") - (bcStrings (8 "8.74" f18 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w18 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "12.13" x19 F)) - (text . "\tab{17}") - (bcStrings (8 "10.79" y19 F)) - (text . "\tab{32}") - (bcStrings (8 "13.71" f19 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w19 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "22.23" x20 F)) - (text . "\tab{17}") - (bcStrings (8 "6.21" y20 F)) - (text . "\tab{32}") - (bcStrings (8 "10.25" f20 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w20 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "11.52" x21 F)) - (text . "\tab{17}") - (bcStrings (8 "8.53" y21 F)) - (text . "\tab{32}") - (bcStrings (8 "15.74" f21 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w21 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "15.2" x22 F)) - (text . "\tab{17}") - (bcStrings (8 "0" y22 F)) - (text . "\tab{32}") - (bcStrings (8 "21.6" f22 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w22 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "7.54" x23 F)) - (text . "\tab{17}") - (bcStrings (8 "10.69" y23 F)) - (text . "\tab{32}") - (bcStrings (8 "19.31" f23 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w23 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "17.32" x24 F)) - (text . "\tab{17}") - (bcStrings (8 "13.78" y24 F)) - (text . "\tab{32}") - (bcStrings (8 "12.11" f24 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w24 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "2.14" x25 F)) - (text . "\tab{17}") - (bcStrings (8 "15.03" y25 F)) - (text . "\tab{32}") - (bcStrings (8 "53.1" f25 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w25 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "0.51" x26 F)) - (text . "\tab{17}") - (bcStrings (8 "8.37" y26 F)) - (text . "\tab{32}") - (bcStrings (8 "49.43" f26 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w26 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "22.69" x27 F)) - (text . "\tab{17}") - (bcStrings (8 "19.63" y27 F)) - (text . "\tab{32}") - (bcStrings (8 "3.25" f27 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w27 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "5.47" x28 F)) - (text . "\tab{17}") - (bcStrings (8 "17.13" y28 F)) - (text . "\tab{32}") - (bcStrings (8 "28.63" f28 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w28 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "21.67" x29 F)) - (text . "\tab{17}") - (bcStrings (8 "14.36" y29 F)) - (text . "\tab{32}") - (bcStrings (8 "5.52" f29 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w29 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "3.31" x30 F)) - (text . "\tab{17}") - (bcStrings (8 "0.33" y30 F)) - (text . "\tab{32}") - (bcStrings (8 "44.08" f30 F)) - (text . "\tab{47}") - (bcStrings (8 "1" w30 F)) - (text . "\blankline")) - htMakeDoneButton('"Continue",'e02ddfColdGen) - htpSetProperty(page,'m,m) - htpSetProperty(page,'nxest,nxest) - htpSetProperty(page,'nyest,nyest) - htpSetProperty(page,'lwrk,lwrk) - htpSetProperty(page,'liwrk,liwrk) - htpSetProperty(page,'s,s) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -e02ddfColdGen htPage == - m := htpProperty(htPage,'m) - nxest := htpProperty(htPage,'nxest) - nyest := htpProperty(htPage,'nyest) - lwrk := htpProperty(htPage,'lwrk) - liwrk := htpProperty(htPage,'liwrk) - s := htpProperty(htPage,'s) - cold := '"c" - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - while y repeat - end := STRCONC ((first y).1," ") - y := rest y - right := STRCONC ((first y).1," ") - y := rest y - mid := STRCONC ((first y).1," ") - y := rest y - left := STRCONC ((first y).1," ") - y := rest y - xlist := [left,:xlist] - ylist := [mid,:ylist] - flist := [right,:flist] - wlist := [end,:wlist] - xstring := bcwords2liststring xlist - ystring := bcwords2liststring ylist - fstring := bcwords2liststring flist - wstring := bcwords2liststring wlist - -- additional entries nx,ny,lamda,mu,wrk needed to get it running - -- but they are just set to 0.0 - prefix := STRCONC('"e02ddf(_"",cold,"_",",STRINGIMAGE m,", [",xstring,"],[") - prefix := STRCONC(prefix,ystring,"],[",fstring,"],[",wstring,"], ") - prefix := STRCONC(prefix,STRINGIMAGE s,", ",STRINGIMAGE nxest,", ") - prefix := STRCONC(prefix,STRINGIMAGE nyest,", ",STRINGIMAGE lwrk,", ") - prefix := STRCONC(prefix,STRINGIMAGE liwrk,", 0,") - prefix := STRCONC(prefix,"new(1,", STRINGIMAGE nxest,",0.0)$MATRIX DFLOAT,0,") - prefix := STRCONC(prefix,"new(1,", STRINGIMAGE nyest,",0.0)$MATRIX DFLOAT,") - prefix := STRCONC(prefix,"new(1,", STRINGIMAGE lwrk,",0.0)$MATRIX DFLOAT,") --- prefix := STRCONC(prefix,"[[0.0 for i in 1..", STRINGIMAGE nxest,"]],0,") --- prefix := STRCONC(prefix,"[[0.0 for i in 1..", STRINGIMAGE nyest,"]],") --- prefix := STRCONC(prefix,"[[0.0 for i in 1..", STRINGIMAGE lwrk,"]],") - prefix := STRCONC(prefix,STRINGIMAGE ifail,")") - linkGen prefix - -e02ddfWarmGen htPage == - m := htpProperty(htPage,'m) - nxest := htpProperty(htPage,'nxest) - nyest := htpProperty(htPage,'nyest) - lwrk := htpProperty(htPage,'lwrk) - liwrk := htpProperty(htPage,'liwrk) - s := htpProperty(htPage,'s) - warm := '"w" - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - wrk := (first y).1 - y := rest y - for i in 1..lwrk repeat - wrkList := ['"0.0 ",:wrkList] - wrkList := [wrk,:wrkList] - wrkstring := bcwords2liststring wrkList - ny := STRCONC((first y).1," ") - y := rest y - nx := STRCONC((first y).1," ") - y := rest y - for i in 1..nyest repeat - mu := STRCONC ((first y).1, " ") - y := rest y - muList := [mu,:muList] - mustring := bcwords2liststring muList - for i in 1..nxest repeat - lam := STRCONC ((first y).1, " ") - y := rest y - lamList := [lam,:lamList] - lamstring := bcwords2liststring lamList - while y repeat - end := STRCONC ((first y).1," ") - y := rest y - right := STRCONC ((first y).1," ") - y := rest y - mid := STRCONC ((first y).1," ") - y := rest y - left := STRCONC ((first y).1," ") - y := rest y - xlist := [left,:xlist] - ylist := [mid,:ylist] - flist := [right,:flist] - wlist := [end,:wlist] - xstring := bcwords2liststring xlist - ystring := bcwords2liststring ylist - fstring := bcwords2liststring flist - wstring := bcwords2liststring wlist - -- additional entries nx,ny,lamda,mu,wrk needed to get it running - -- but they are just set to 0.0 - prefix := STRCONC('"e02ddf(_"",warm,"_",",STRINGIMAGE m,", [",xstring,"],[") - prefix := STRCONC(prefix,ystring,"],[",fstring,"],[",wstring,"], ") - prefix := STRCONC(prefix,STRINGIMAGE s,", ",STRINGIMAGE nxest,", ") - prefix := STRCONC(prefix,STRINGIMAGE nyest,", ",STRINGIMAGE lwrk,", ") - prefix := STRCONC(prefix,STRINGIMAGE liwrk,", ",nx,",[",lamstring,"],",ny) - prefix := STRCONC(prefix,",[",mustring,"],[",wrkstring,"],") - prefix := STRCONC(prefix,STRINGIMAGE ifail,")") - linkGen prefix - -e02zaf() == - htInitPage('"E02ZAF - Sort 2-D sata into panels for fitting bicubic splines",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXe02zaf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02zaf| '|NagFittingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Sorts the set of points {\em (\htbitmap{xr},") - (text . "\htbitmap{yr})} into panels defined by \space{1}") - (text . "\htbitmap{px} -8 points \htbitmap{lamdai} ") - (text . "on the x-axis and \space{1}\htbitmap{py}-8 points ") - (text . "\htbitmap{muj} on the y axis. The points are ordered ") - (text . "so that all points in a panel occur before data in succeeding ") - (text . "panels. Within a panel, the points maintain their original ") - (text . "order. ") - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} \newline ") - (text . "Number of points to be sorted to be sorted {\it m}: ") - (text . "\newline\tab{2} ") - (bcStrings (6 10 m PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\newline Intercepts + 8 on x axis {\em px}:") - (text . "\tab{32} \menuitemstyle{}\tab{34}") - (text . "Intercepts + 8 on y axis {\em py}:") - (text . "\newline\tab{2} ") - (bcStrings (6 9 px PI)) - (text . "\tab{34} ") - (bcStrings (6 10 py PI)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} \newline ") - (text . "Dimension of point {\it npoint}: ") - (text . "\newline\tab{2} ") - (bcStrings (6 45 npoint PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Ifail value: ") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'e02zafSolve) - htShowPage() - -e02zafSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - px := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'px) - objValUnwrap htpLabelSpadValue(htPage, 'px) - py := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'py) - objValUnwrap htpLabelSpadValue(htPage, 'py) - npoint := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'npoint) - objValUnwrap htpLabelSpadValue(htPage, 'npoint) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - ((m = '10 and px = '9) and py = '10) => e02zafDefaultSolve(htPage,npoint,ifail) - labelList := - "append"/[fxy(i) for i in 1..m] where fxy(i) == - prefix := ('"\newline \tab{2} ") - middle := ('"\tab{32} ") - lnam := INTERN STRCONC ('"x",STRINGIMAGE i) - cnam := INTERN STRCONC ('"y",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[8, 0.0, lnam, 'F]], - ['text,:middle],['bcStrings,[8, 0.0, cnam, 'F]]] - lamList := - "append"/[flam(i) for i in 5..(px-4)] where flam(i) == - lnam := INTERN STRCONC ('"l",STRINGIMAGE i) - [['bcStrings,[8, 0.0, lnam, 'F]]] - prefix := ('"\blankline \menuitemstyle{} \tab{2} {\it \lambda(5) to ") - prefix := STRCONC(prefix,"\lambda(px-4)}: \newline \tab{2} ") - lamList := [['text,:prefix],:lamList] - muList := - "append"/[fmu(i) for i in 5..(py-4)] where fmu(i) == - mnam := INTERN STRCONC ('"m",STRINGIMAGE i) - [['bcStrings,[8, 0.0, mnam, 'F]]] - prefix := ('"\blankline \menuitemstyle{} \tab{2} {\it \mu(5) to \mu(py-4)}: ") - prefix := STRCONC(prefix,"\newline \tab{2} ") - muList := [['text,:prefix],:muList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :labelList,:lamList,:muList] - page := htInitPage('"E02ZAF - Sort 2-D sata into panels for fitting bicubic splines",nil) - htSay '"\menuitemstyle{}\tab{2} {\it x(m)}: " - htSay '"\tab{30} \menuitemstyle{}\tab{32} {\it y(m)}: " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'e02zafGen) - htpSetProperty(page,'m,m) - htpSetProperty(page,'px,px) - htpSetProperty(page,'py,py) - htpSetProperty(page,'npoint,npoint) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -e02zafDefaultSolve (htPage,npoint,ifail) == - m := '10 - px := '9 - py := '10 - page := htInitPage('"E02ZAF - Sort 2-D sata into panels for fitting bicubic splines",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} {\it x(m)}:") - (text . "\tab{30} \menuitemstyle{} \tab{32} {\it y(m)}:") - (text . "\newline \tab{2} ") - (bcStrings (8 "0.00" x1 F)) - (text . "\tab{32}") - (bcStrings (8 "0.77" y1 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "0.70" x2 F)) - (text . "\tab{32}") - (bcStrings (8 "1.06" y2 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "1.44" x3 F)) - (text . "\tab{32}") - (bcStrings (8 "0.33" y3 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "0.21" x4 F)) - (text . "\tab{32}") - (bcStrings (8 "0.44" y4 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "1.01" x5 F)) - (text . "\tab{32}") - (bcStrings (8 "0.50" y5 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "1.84" x6 F)) - (text . "\tab{32}") - (bcStrings (8 "0.02" y6 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "0.71" x7 F)) - (text . "\tab{32}") - (bcStrings (8 "1.95" y7 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "1.00" x8 F)) - (text . "\tab{32}") - (bcStrings (8 "1.20" y8 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "0.54" x9 F)) - (text . "\tab{32}") - (bcStrings (8 "0.04" y9 F)) - (text . "\newline \tab{2} ") - (bcStrings (8 "1.531" x10 F)) - (text . "\tab{32}") - (bcStrings (8 "0.18" y10 F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2} {\it \lambda(5) to \lambda(px-4)}:") - (text . "\newline \tab{2}") - (bcStrings (8 "1.00" l5 F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2} {\it \mu(5) to \mu(py-4)}:") - (text . "\newline \tab{2}") - (bcStrings (8 "0.80" mu5 F)) - (bcStrings (8 "1.20" mu6 F)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'e02zafGen) - htpSetProperty(page,'m,m) - htpSetProperty(page,'px,px) - htpSetProperty(page,'py,py) - htpSetProperty(page,'npoint,npoint) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -e02zafGen htPage == - m := htpProperty(htPage,'m) - px := htpProperty(htPage,'px) - py := htpProperty(htPage,'py) - npoint := htpProperty(htPage,'npoint) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - nadres := (px-7)*(py-7) - -- mu - for i in 1..4 repeat - muList := ['"0 ",:muList] - for i in 5..(py-4) repeat - right := STRCONC ((first y).1," ") - y := rest y - muList := [right,:muList] - for i in (py-3)..py repeat - muList := ['"0 ",:muList] - mustring := bcwords2liststring muList - -- lamda - for i in 1..4 repeat - lamList := ['"0 ",:lamList] - for i in 5..(px-4) repeat - right := STRCONC ((first y).1," ") - y := rest y - lamList := [right,:lamList] - for i in (px-3)..px repeat - lamList := ['"0 ",:lamList] - lamstring := bcwords2liststring lamList - -- x & y - while y repeat - right := STRCONC ((first y).1," ") - y := rest y - left := STRCONC ((first y).1," ") - y := rest y - xlist := [left,:xlist] - ylist := [right,:ylist] - xstring := bcwords2liststring xlist - ystring := bcwords2liststring ylist - prefix := STRCONC('"e02zaf(",STRINGIMAGE px,", ",STRINGIMAGE py,",[") - prefix := STRCONC(prefix,lamstring,"],[",mustring,"], ",STRINGIMAGE m,", [") - prefix := STRCONC(prefix,xstring,"],[",ystring,"], ",STRINGIMAGE npoint,", ") - prefix := STRCONC(prefix,STRINGIMAGE nadres,", ",STRINGIMAGE ifail,")") - linkGen prefix - - - -@ -\eject -\begin{thebibliography}{99} -\bibitem{1} nothing -\end{thebibliography} -\end{document} |