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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 new file mode 100644 index 00000000..d9874717 --- /dev/null +++ b/src/interp/nag-e02b.boot.pamphlet @@ -0,0 +1,1757 @@ +\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>> + +-- 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 . "\newline \tab{2} ") + (bcStrings (8 "0.09" x4 F)) + (text . "\tab{17}") + (bcStrings (8 "0.84" y4 F)) + (text . "\tab{32}") + (bcStrings (8 "0.52" f4 F)) + (text . "\tab{47}") + (bcStrings (8 "10" w4 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "0.88" x5 F)) + (text . "\tab{17}") + (bcStrings (8 "0.17" y5 F)) + (text . "\tab{32}") + (bcStrings (8 "0.49" f5 F)) + (text . "\tab{47}") + (bcStrings (8 "10" w5 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.70" x6 F)) + (text . "\tab{17}") + (bcStrings (8 "-0.87" y6 F)) + (text . "\tab{32}") + (bcStrings (8 "-1.76" f6 F)) + (text . "\tab{47}") + (bcStrings (8 "10" w6 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "1" x7 F)) + (text . "\tab{17}") + (bcStrings (8 "1" y7 F)) + (text . "\tab{32}") + (bcStrings (8 "0.33" f7 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w7 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "1" x8 F)) + (text . "\tab{17}") + (bcStrings (8 "0.1" y8 F)) + (text . 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"\menuitemstyle{}\tab{2} mu(5) to mu(py-4):") + (text . "\newline \tab{2}") + (bcStrings (8 "-0.50" mu5 F)) + (bcStrings (8 "0.00" mu6 F)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2} Enter values for point:") + (text . "\newline \tab{2}") + (bcStrings (6 3 p1 PI)) + (text . "\newline \tab{2}") + (bcStrings (6 6 p2 PI)) + (text . "\newline \tab{2}") + (bcStrings (6 4 p3 PI)) + (text . "\newline \tab{2}") + (bcStrings (6 5 p4 PI)) + (text . "\newline \tab{2}") + (bcStrings (6 7 p5 PI)) + (text . "\newline \tab{2}") + (bcStrings (6 10 p6 PI)) + (text . "\newline \tab{2}") + (bcStrings (6 8 p7 PI)) + (text . "\newline \tab{2}") + (bcStrings (6 9 p8 PI)) + (text . "\newline \tab{2}") + (bcStrings (6 11 p9 PI)) + (text . "\newline \tab{2}") + (bcStrings (6 13 p10 PI)) + (text . "\newline \tab{2}") + (bcStrings (6 12 p11 PI)) + (text . "\newline \tab{2}") + (bcStrings (6 15 p12 PI)) + (text . "\newline \tab{2}") + (bcStrings (6 14 p13 PI)) + (text . "\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} |