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diff --git a/src/interp/nag-e02.boot.pamphlet b/src/interp/nag-e02.boot.pamphlet new file mode 100644 index 00000000..3d738dd1 --- /dev/null +++ b/src/interp/nag-e02.boot.pamphlet @@ -0,0 +1,4693 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/interp nag-e02.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>> + +e02adf() == + htInitPage('"E02ADF - Least-squares curve fit, by polynomials, arbitrary data points", nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02adf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02adf| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "Determines weighted least-squares polynomial approximations of ") + (text . "degrees 0,1,...,k to the set of points {\it (} ") + (text . "\htbitmap{xr}, \htbitmap{yr}{\it )} ") + (text . "with weights \htbitmap{wr}, for r = 1,2,...,m. ") + (text . "The polynomials are in the Chebyshev series form, the ") + (text . "approximation of degree {\it i} being represented as ") + (text . "\newline \center{\htbitmap{e02adf}} , where ") + (text . "\htbitmap{xbar} is the normalised argument, which is ") + (text . "related to the original variable {\it x} by the transformation ") + (text . "\blankline \center{\htbitmap{e02adf1}} ") + (text . ",\htbitmap{xmin} and \htbitmap{xmax} being ") + (text . "the values of \htbitmap{xr} respectively ") + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Number of data points {\it m}:") + (text . "\newline \tab{2} ") + (bcStrings (6 11 m PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Maximum degree required {\it k}:") + (text . "\newline \tab{2} ") + (bcStrings (6 3 k PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2} \newline ") + (text . "First dimension of A, {\it nrows} \htbitmap{great=} {\it k+1}: ") + (text . "\newline \tab{2} ") + (bcStrings (6 50 nrows I)) + (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", 'e02adfSolve) + htShowPage() + +e02adfSolve htPage == + m := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) + objValUnwrap htpLabelSpadValue(htPage, 'm) + k := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'k) + objValUnwrap htpLabelSpadValue(htPage, 'k) + nrows := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nrows) + objValUnwrap htpLabelSpadValue(htPage, 'nrows) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + (m = '11 and k ='3) => e02adfDefaultSolve(htPage,k,nrows,ifail) + labelList := + "append"/[f(i) for i in 1..m] where f(i) == + prefix := ('"\newline \tab{2} ") + middle := ('"\tab{22} ") + post := ('" \tab{42} ") + xnam := INTERN STRCONC ('"x",STRINGIMAGE i) + ynam := INTERN STRCONC ('"y",STRINGIMAGE i) + znam := INTERN STRCONC ('"z",STRINGIMAGE i) + num := INTERN STRCONC (STRINGIMAGE (QUOTIENT(i,10)),".",STRINGIMAGE (REM(i,10))) + [['text,:prefix],['bcStrings,[10, num, xnam, 'F]], + ['text,:middle],['bcStrings,[10, 0.0, ynam, 'F]], + ['text,:post],['bcStrings,[10, 0.0, znam, 'F]]] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :labelList] + page := htInitPage("E02ADF - Least-squares curve fit, by polynomials, arbitrary data points", htpPropertyList htPage) + htSay '"\menuitemstyle{}\tab{2} Values of \space{1} " + htSay '"\htbitmap{xr}: \tab{20} \menuitemstyle{}\tab{22} " + htSay '"Values of \space{1} \htbitmap{fr}: \tab{40}" + htSay '"\menuitemstyle{}\tab{42} Values of \space{1} " + htSay '"\htbitmap{dr}: " + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02adfGen) + htpSetProperty(page,'m,m) + htpSetProperty(page,'k,k) + htpSetProperty(page,'nrows,nrows) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02adfDefaultSolve (htPage,k,nrows,ifail) == + m := '11 + page := htInitPage('"E02ADF - Least-squares curve fit, by polynomials, arbitrary data points", htpPropertyList htPage) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2} Values of \space{1} ") + (text . "\htbitmap{xr}: \tab{20} \menuitemstyle{}\tab{22} ") + (text . "Values of \space{1} \htbitmap{yr}: \tab{40} ") + (text . "\menuitemstyle{}\tab{42} Values of \space{1} ") + (text . "\htbitmap{wr}: ") + (text . "\newline \tab{2}") + (bcStrings (10 "1.00" x1 F)) + (text . "\tab{22} ") + (bcStrings (10 "10.40" y1 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z1 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "2.10" x2 F)) + (text . "\tab{22} ") + (bcStrings (10 "7.90" y2 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z2 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "3.10" x3 F)) + (text . "\tab{22} ") + (bcStrings (10 "4.70" y3 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z3 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "3.90" x4 F)) + (text . "\tab{22} ") + (bcStrings (10 "2.50" y4 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z4 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "4.90" x5 F)) + (text . "\tab{22} ") + (bcStrings (10 "1.20" y5 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z5 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "5.80" x6 F)) + (text . "\tab{22} ") + (bcStrings (10 "2.20" y6 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.80" z6 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "6.50" x7 F)) + (text . "\tab{22} ") + (bcStrings (10 "5.10" y7 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.80" z7 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "7.10" x8 F)) + (text . "\tab{22} ") + (bcStrings (10 "9.20" y8 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.70" z8 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "7.80" x9 F)) + (text . "\tab{22} ") + (bcStrings (10 "16.10" y9 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.50" z9 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "8.40" x10 F)) + (text . "\tab{22} ") + (bcStrings (10 "24.50" y10 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.30" z10 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "9.00" x11 F)) + (text . "\tab{22} ") + (bcStrings (10 "35.30" y11 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.20" z11 F)) + (text . "\blankline")) + htMakeDoneButton('"Continue",'e02adfGen) + htpSetProperty(page,'m,m) + htpSetProperty(page,'k,k) + htpSetProperty(page,'nrows,nrows) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02adfGen htPage == + m := htpProperty(htPage,'m) + k := htpProperty(htPage,'k) + nrows := htpProperty(htPage,'nrows) + ifail := htpProperty(htPage,'ifail) + alist := htpInputAreaAlist htPage + kplus1 := k + 1 + y := alist + while y repeat + 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] + wlist := [right,:wlist] + xstring := bcwords2liststring xlist + ystring := bcwords2liststring ylist + wstring := bcwords2liststring wlist + prefix := STRCONC('"e02adf(",STRINGIMAGE m,", ",STRINGIMAGE kplus1,", ") + prefix := STRCONC(prefix,STRINGIMAGE nrows,", [",xstring,"],[",ystring,"],[") + prefix := STRCONC(prefix,wstring,"],",STRINGIMAGE ifail,")") + linkGen prefix + +e02aef() == + htInitPage('"E02AEF - Evaluation of fitted polynomial in one variable from Chebyshev series form", nil) + htMakePage '( + (domainConditions + (isDomain F (Float)) + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02aef} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02aef| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "Evaluates a polynomial in Chabyshev series representation ") + (text . "\newline \center{\htbitmap{e02aef}} ") + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Number of terms in the series {\it n}:") + (text . "\newline \tab{2} ") + (bcStrings (6 4 n PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\htbitmap{xbar}: ") + (text . " \newline \tab{2} ") + (bcStrings (6 "-1.0" xcap F)) + (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", 'e02aefSolve) + htShowPage() + +e02aefSolve htPage == + n := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) + objValUnwrap htpLabelSpadValue(htPage, 'n) + xcap := htpLabelInputString(htPage,'xcap) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + n = '4 => e02aefDefaultSolve(htPage,xcap,ifail) + labelList := + "append"/[f(i) for i in 1..(n+1)] where f(i) == + prefix := ('"\newline \tab{15} ") + anam := INTERN STRCONC ('"a",STRINGIMAGE i) + [['text,:prefix],['bcStrings,[10, 0.0, anam, 'F]]] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :labelList] + page := htInitPage("E02AEF - Evaluation of fitted polynomial in one variable from Chebyshev series from", nil) + htSay '"\menuitemstyle{}\tab{2} Enter the coefficients of {\it a(n+1)}:" + htSay '"\blankline " + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02aefGen) + htpSetProperty(page,'n,n) + htpSetProperty(page,'xcap,xcap) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02aefDefaultSolve (htPage,xcap,ifail) == + n := '4 + page := htInitPage('"E02AEF - Evaluation of fitted polynomial in one variable from Chebyshev series form", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2} ") + (text . "Enter the coeffients of {\it a(n+1)}: ") + (text . "\blankline ") + (text . "\newline \tab{15} ") + (bcStrings (10 "2.0000" a1 F)) + (text . "\newline \tab{15} ") + (bcStrings (10 "0.5000" a2 F)) + (text . "\newline \tab{15} ") + (bcStrings (10 "0.2500" a3 F)) + (text . "\newline \tab{15} ") + (bcStrings (10 "0.1250" a4 F)) + (text . "\newline \tab{15} ") + (bcStrings (10 "0.0625" a5 F)) + (text . "\blankline ")) + htMakeDoneButton('"Continue",'e02aefGen) + htpSetProperty(page,'n,n) + htpSetProperty(page,'xcap,xcap) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02aefGen htPage == + n := htpProperty(htPage,'n) + xcap := htpProperty(htPage,'xcap) + ifail := htpProperty(htPage,'ifail) + alist := htpInputAreaAlist htPage + nplus1 := n + 1 + y := alist + while y repeat + right := STRCONC ((first y).1," ") + y := rest y + arrayList := [right,:arrayList] + astring := bcwords2liststring arrayList + prefix := STRCONC('"e02aef(",STRINGIMAGE nplus1,", [",astring ,"], ") + prefix := STRCONC(prefix,STRINGIMAGE xcap,", ",STRINGIMAGE ifail,")") + linkGen prefix + +e02agf() == + htInitPage('"E02AGF - Least-squares polynomial fit, values and derivatives may be constrained, arbitrary data values",nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02agf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02agf| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "Determines constrained least-squares polynomial approximations ") + (text . "to the set of points {\it (\htbitmap{xr},\htbitmap{yr})} with ") + (text . "weights \htbitmap{wr}, for r = 1,2,...,m. The values of the ") + (text . "approximations and any number of their derivatives must be ") + (text . "specified at a further set of points \htbitmap{xii}, ") + (text . "for i = 1,2,...,{\it mf}. The total number of interpolating ") + (text . "conditions is given by \center{\htbitmap{e02agf}} where ") + (text . "\htbitmap{pi} is the highest order derivative ") + (text . "specified at point \htbitmap{xii}. The values ") + (text . "\htbitmap{xr} and \htbitmap{xii} all lie ") + (text . "in the interval [\htbitmap{xmin},") + (text . "\htbitmap{xmax}]. The polynomials are given in ") + (text . "Chebyshev series form, the approximation of degree {\it i} being") + (text . " represented as\blankline \center{\htbitmap{e02agf1}}") + (text . "\newline, where \htbitmap{xbar} is the normalised ") + (text . "argument, related to the original variable {\it x} by the ") + (text . "transformation \newline \center{\htbitmap{e02adf1}} ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\newline Number of data points {\it m}:") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Maximum degree required {\it k}:") + (text . "\newline\tab{2} ") + (bcStrings (6 5 m PI)) + (text . "\tab{34} ") + (bcStrings (6 4 k PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2} \newline ") + (text . "First dimension of A, {\it nrows \htbitmap{great=} k+1}: ") + (text . "\newline \tab{2} ") + (bcStrings (6 6 nrows I)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\newline \htbitmap{xmin}: ") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "\htbitmap{xmax}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 "0.0" xmin F)) + (text . "\tab{34} ") + (bcStrings (6 "4.0" xmax F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\newline Dimension of {\it xf} & {\it ip}, {\it mf}: ") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Dimension of {\it yf}, {\it lyf}:") + (text . "\newline\tab{2} ") + (bcStrings (6 2 mf PI)) + (text . "\tab{34} ") + (bcStrings (6 15 lyf 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", 'e02agfSolve) + htShowPage() + +e02agfSolve htPage == + m := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) + objValUnwrap htpLabelSpadValue(htPage, 'm) + k := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'k) + objValUnwrap htpLabelSpadValue(htPage, 'kplus1) + nrows := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nrows) + objValUnwrap htpLabelSpadValue(htPage, 'nrows) + xmin := htpLabelInputString(htPage,'xmin) + xmax := htpLabelInputString(htPage,'xmax) + mf := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'mf) + objValUnwrap htpLabelSpadValue(htPage, 'mf) + lyf := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lyf) + objValUnwrap htpLabelSpadValue(htPage, 'lyf) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + (m = '5 and k ='4 and mf = '2 and lyf = '15) => e02agfDefaultSolve(htPage,nrows,xmin,xmax,ifail) + labelList := + "append"/[f(i) for i in 1..m] where f(i) == + prefix := ('"\newline \tab{2} ") + middle := ('"\tab{22} ") + post := ('" \tab{42} ") + xnam := INTERN STRCONC ('"x",STRINGIMAGE i) + ynam := INTERN STRCONC ('"y",STRINGIMAGE i) + znam := INTERN STRCONC ('"z",STRINGIMAGE i) + num := INTERN STRCONC (STRINGIMAGE (QUOTIENT(i,10)),".",STRINGIMAGE (REM(i,10))) + [['text,:prefix],['bcStrings,[10, num, xnam, 'F]], + ['text,:middle],['bcStrings,[10, 0.0, ynam, 'F]], + ['text,:post],['bcStrings,[10, 0.0, znam, 'F]]] + xfList := + "append"/[g(j) for j in 1..mf] where g(j) == + xfnam := INTERN STRCONC ('"xf",STRINGIMAGE j) + [['bcStrings,[6, 0.0, xfnam, 'F]]] + prefix := ('"\blankline \newline \menuitemstyle{}\tab{2} Values of ") + prefix := STRCONC(prefix,"{\it xf}: \newline \tab{2} ") + xfList := [['text,:prefix],:xfList] + ipList := + "append"/[h(k) for k in 1..mf] where h(k) == + ipnam := INTERN STRCONC ('"ip",STRINGIMAGE k) + [['bcStrings,[6, 0, ipnam, 'PI]]] + prefix := ('"\blankline \newline \menuitemstyle{}\tab{2} Values of ") + prefix := STRCONC(prefix,"{\it ip}: \newline \tab{2} ") + ipList := [['text,:prefix],:ipList] + yfList := + "append"/[i(l) for l in 1..lyf] where i(l) == + prefix := ('"\newline \tab{2} ") + yfnam := INTERN STRCONC ('"lyf",STRINGIMAGE l) + [['text,:prefix],['bcStrings,[10, 0.0, yfnam, 'F]]] + prefix := ('"\blankline \newline \menuitemstyle{}\tab{2} Values of ") + prefix := STRCONC(prefix,"{\it yf}: \newline \tab{2} ") + yfList := [['text,:prefix],:yfList] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :labelList,:xfList,:ipList,:yfList] + page := htInitPage("E02AGF - Least-squares polynomial fit, values and derivatives may be constrained, arbitrary data values",nil) + htSay '"\menuitemstyle{}\tab{2} Values of \space{1} " + htSay '"\htbitmap{xr}: \tab{20} \menuitemstyle{}\tab{22} " + htSay '"Values of \space{1} \htbitmap{yr}: \tab{40}" + htSay '"\menuitemstyle{}\tab{42} Values of \space{1} " + htSay '"\htbitmap{wr}: " + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02agfGen) + htpSetProperty(page,'m,m) + htpSetProperty(page,'k,k) + htpSetProperty(page,'nrows,nrows) + htpSetProperty(page,'nrows,nrows) + htpSetProperty(page,'xmin,xmin) + htpSetProperty(page,'xmax,xmax) + htpSetProperty(page,'mf,mf) + htpSetProperty(page,'lyf,lyf) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02agfDefaultSolve (htPage,nrows,xmin,xmax,ifail) == + m := '5 + k := '4 + mf := '2 + lyf := '15 + page := htInitPage('"E02AGF - Least-squares polynomial fit, values and derivativesby polynomials, arbitrary data points", htpPropertyList htPage) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\menuitemstyle{}\tab{2} Values of \space{1} ") + (text . "\htbitmap{xr}: \tab{20} \menuitemstyle{}\tab{22} ") + (text . "Values of \space{1} \htbitmap{yr}: \tab{40} ") + (text . "\menuitemstyle{}\tab{42} Values of \space{1} ") + (text . "\htbitmap{wr}: ") + (text . "\newline \tab{2}") + (bcStrings (10 "0.5" x1 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.03" y1 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.0" z1 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "1.0" x2 F)) + (text . "\tab{22} ") + (bcStrings (10 "-0.75" y2 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.0" z2 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "2.0" x3 F)) + (text . "\tab{22} ") + (bcStrings (10 "-1.0" y3 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.0" z3 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "2.5" x4 F)) + (text . "\tab{22} ") + (bcStrings (10 "-0.1" y4 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.0" z4 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "3.0" x5 F)) + (text . "\tab{22} ") + (bcStrings (10 "1.75" y5 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.0" z5 F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2} Values of {\it xf}: ") + (text . "\newline \tab{2} ") + (bcStrings (6 "0.0" xf1 F)) + (bcStrings (6 "4.0" xf2 F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2} Values of {\it ip}: ") + (text . "\newline \tab{2} ") + (bcStrings (6 1 ip1 PI)) + (bcStrings (6 0 ip2 PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2} Values of {\it yf}: ") + (text . "\newline \tab{2} ") + (bcStrings (10 "1.0" lyf1 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "-2.0" lyf2 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "9.0" lyf3 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" lyf4 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" lyf5 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" lyf6 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" lyf7 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" lyf8 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" lyf9 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" lyf10 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" lyf11 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" lyf12 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" lyf13 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" lyf14 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" lyf15 F))) + htMakeDoneButton('"Continue",'e02agfGen) + htpSetProperty(page,'m,m) + htpSetProperty(page,'k,k) + htpSetProperty(page,'nrows,nrows) + htpSetProperty(page,'xmin,xmin) + htpSetProperty(page,'xmax,xmax) + htpSetProperty(page,'mf,mf) + htpSetProperty(page,'lyf,lyf) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02agfGen htPage == + m := htpProperty(htPage,'m) + k := htpProperty(htPage,'k) + nrows := htpProperty(htPage,'nrows) + xmin := htpProperty(htPage,'xmin) + xmax := htpProperty(htPage,'xmax) + mf := htpProperty(htPage,'mf) + lyf := htpProperty(htPage,'lyf) + ifail := htpProperty(htPage,'ifail) + alist := htpInputAreaAlist htPage + kplus1 := k + 1 + ipsum := 0 + y := alist + for i in 1..lyf repeat + yf := STRCONC((first y).1," ") + yfList := [yf,:yfList] + y := rest y + yfstring := bcwords2liststring yfList + for i in 1..mf repeat + iptest := (first y).1 + iptestval := READ_-FROM_-STRING(iptest) + ipsum := ipsum + iptestval + ip := STRCONC(iptest," ") + iptestList := [iptestval,:iptestList] + ipList := [ip,:ipList] + y := rest y + ipstring := bcwords2liststring ipList + ipmax := APPLY ('MAX, iptestList) + n := mf + ipsum + for i in 1..mf repeat + xf := STRCONC((first y).1," ") + xfList := [xf,:xfList] + y := rest y + xfstring := bcwords2liststring xfList + while y repeat + 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] + wlist := [right,:wlist] + xstring := bcwords2liststring xlist + ystring := bcwords2liststring ylist + wstring := bcwords2liststring wlist + wrktest1 := 4*m + 3*kplus1 + wrktest2 := 8*n + 5*ipmax + mf +10 + wrktestlist := [wrktest1,wrktest2] + wrkmax := APPLY ('MAX, wrktestlist) + lwrk := wrkmax + 2*n + 2 + liwrk := 2*mf + 2 + prefix := STRCONC('"e02agf(",STRINGIMAGE m,", ",STRINGIMAGE kplus1,", ") + prefix := STRCONC(prefix,STRINGIMAGE nrows,", ",xmin,", ",xmax,", [",xstring) + prefix := STRCONC(prefix,"],[",ystring,"],[",wstring,"],",STRINGIMAGE mf) + prefix := STRCONC(prefix,", [",xfstring,"],[",yfstring,"],") + prefix := STRCONC(prefix,STRINGIMAGE lyf,", [",ipstring,"]::Matrix Integer,") + prefix := STRCONC(prefix,STRINGIMAGE lwrk,", ",STRINGIMAGE liwrk,", ") + prefix := STRCONC(prefix,STRINGIMAGE ifail,")") + linkGen prefix + +e02ahf() == + htInitPage('"E02AHF - Derivative of fitted polynomial in Chebyshev series",nil) + htMakePage '( + (domainConditions + (isDomain F (Float)) + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02ahf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02ahf| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "Determines the indefinite integral of the Chebyshev series ") + (text . "representation \newline \center{\htbitmap{e02ahf1}} ") + (text . "of a polynomial, where \htbitmap{xbar} is the ") + (text . "normalised argument, related to the original variable x by the ") + (text . "transformation \blankline \center{\htbitmap{e02adf1}}") + (text . ",\htbitmap{xmin} and \htbitmap{xmax} being ") + (text . "minimum and maximum values of {\it x} respectively. The integral") + (text . " polynomial has the form ") + (text . "\blankline \center{\htbitmap{e02ahf}}") + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Degree of the polynomial {\it n}:") + (text . "\newline \tab{2} ") + (bcStrings (6 6 n PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\newline \htbitmap{xmin}: ") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "\htbitmap{xmax}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 "-0.5" xmin F)) + (text . "\tab{34} ") + (bcStrings (6 "2.5" xmax F)) +-- (text . "\blankline ") +-- (text . "\newline ") +-- (text . "\menuitemstyle{}\tab{2}") +-- (text . "\newline Dimension of array {\it a}, {\it la}: ") +-- (text . "\tab{32} \menuitemstyle{}\tab{34}") +-- (text . "Dimension of {\it adif}, {\it ladif}: ") +-- (text . "\newline\tab{2} ") +-- (bcStrings (6 7 la PI)) +-- (text . "\tab{34} ") +-- (bcStrings (6 7 ladif PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\newline Increment of array {\it a}, {\it ia1}: ") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "\newline Increment of array {\it adif}, {\it ladif1}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 1 iaone PI)) + (text . "\tab{34} ") + (bcStrings (6 1 ladifone PI)) + (text . "\blankline") + (text . "\newline \menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Ifail value: ") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'e02ahfSolve) + htShowPage() + +e02ahfSolve htPage == + n := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) + objValUnwrap htpLabelSpadValue(htPage, 'n) + xmin := htpLabelInputString(htPage,'xmin) + xmax := htpLabelInputString(htPage,'xmax) + iaone := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'iaone) + objValUnwrap htpLabelSpadValue(htPage, 'iaone) + ladifone := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ladifone) + objValUnwrap htpLabelSpadValue(htPage, 'ladifone) + la := 1+n*iaone +-- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'la) +-- objValUnwrap htpLabelSpadValue(htPage, 'la) + ladif :=1+n*ladifone +-- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ladif) +-- objValUnwrap htpLabelSpadValue(htPage, 'ladif) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + (n = '6 and (la ='7 and ladif = '7)) => + e02ahfDefaultSolve(htPage,xmin,xmax,iaone,ladifone,ifail) + labelList := + "append"/[f(i) for i in 1..la] where f(i) == + prefix := ('"\newline \tab{15} ") + anam := INTERN STRCONC ('"a",STRINGIMAGE i) + [['text,:prefix],['bcStrings,[10, "0.0000", anam, 'F]]] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :labelList] + page := htInitPage("E02AHF - Derivative of fitted polynomial in Chebyshev series",nil) + htSay '"\menuitemstyle{}\tab{2} Coefficients of {\it a(la)}:" + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02ahfGen) + htpSetProperty(page,'n,n) + htpSetProperty(page,'la,la) + htpSetProperty(page,'ladif,ladif) + htpSetProperty(page,'xmin,xmin) + htpSetProperty(page,'xmax,xmax) + htpSetProperty(page,'iaone,iaone) + htpSetProperty(page,'ladifone,ladifone) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02ahfDefaultSolve (htPage,xmin,xmax,iaone,ladifone,ifail) == + n := '6 + la := '7 + ladif := '7 + page := htInitPage('"E02AHF - Derivative of fitted polynomial in Chebyshev series",nil) + htMakePage '( + (domainConditions + (isDomain PI (Positive Integer)) + (isDomain F (Float))) + (text . "\menuitemstyle{}\tab{2} ") + (text . "Coefficients of {\it a(la)}: ") + (text . "\newline \tab{15}") + (bcStrings (10 "2.53213" a1 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "1.13032" a2 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.27150" a3 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.04434" a4 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.00547" a5 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.00054" a6 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.00004" a7 F)) + (text . "\blankline")) + htMakeDoneButton('"Continue",'e02ahfGen) + htpSetProperty(page,'n,n) + htpSetProperty(page,'la,la) + htpSetProperty(page,'ladif,ladif) + htpSetProperty(page,'xmin,xmin) + htpSetProperty(page,'xmax,xmax) + htpSetProperty(page,'iaone,iaone) + htpSetProperty(page,'ladifone,ladifone) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02ahfGen htPage == + n := htpProperty(htPage,'n) + la := htpProperty(htPage,'la) + ladif := htpProperty(htPage,'ladif) + xmin := htpProperty(htPage,'xmin) + xmax := htpProperty(htPage,'xmax) + iaone := htpProperty(htPage,'iaone) + ladifone := htpProperty(htPage,'ladifone) + ifail := htpProperty(htPage,'ifail) + alist := htpInputAreaAlist htPage + np1 := n + 1 + y := alist + while y repeat + right := STRCONC ((first y).1," ") + y := rest y + arrayList := [right,:arrayList] + astring := bcwords2liststring arrayList + prefix := STRCONC('"e02ahf(",STRINGIMAGE np1,", ",xmin,", ",xmax,", [") + prefix := STRCONC(prefix,astring,"], ",STRINGIMAGE iaone,", ") + prefix := STRCONC(prefix,STRINGIMAGE la,", ",STRINGIMAGE ladifone,", ") + prefix := STRCONC(prefix,STRINGIMAGE ladif,", ",STRINGIMAGE ifail,")") + linkGen prefix + +e02ajf() == + htInitPage('"E02AJF - Integral of fitted polynomial in Chebyshev series form",nil) + htMakePage '( + (domainConditions + (isDomain F (Float)) + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02ajf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02ajf| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "Determines the indefinite integral of the Chebyshev series ") + (text . "representation \newline \center{\htbitmap{e02ahf1}} ") + (text . "of a polynomial, where \htbitmap{xbar} is the normalis") + (text . "ed argument, related to the original variable {\it x} by the ") + (text . "transformation \blankline \center{\htbitmap{e02adf1}}") + (text . ",\htbitmap{xmin} and \htbitmap{xmax} being ") + (text . "minimum and maximum values of {\it x} respectively. The integral") + (text . " polynomial has the form ") + (text . "\blankline \center{\htbitmap{e02ajf}}") + (text . "and the integration is with respect to the original variable ") + (text . "{\it x} \blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Degree of the polynomial {\it n}:") + (text . "\newline \tab{2} ") + (bcStrings (6 6 n PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\newline \htbitmap{xmin}: ") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "\htbitmap{xmax}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 "-0.5" xmin F)) + (text . "\tab{34} ") + (bcStrings (6 "2.5" xmax F)) +-- (text . "\blankline ") +-- (text . "\newline ") +-- (text . "\menuitemstyle{}\tab{2}") +-- (text . "\newline Dimension of array {\it a}, {\it la}: ") +-- (text . "\tab{32} \menuitemstyle{}\tab{34}") +-- (text . "Dimension of {\it aint}, {\it laint}: ") +-- (text . "\newline\tab{2} ") +-- (bcStrings (6 7 la PI)) +-- (text . "\tab{34} ") +-- (bcStrings (6 8 laint PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\newline Index increment of {\it a}, {\it ia1}: ") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Increment of {\it aint}, {\it iaint1}: ") + (text . "\newline \tab{2} ") + (bcStrings (6 1 iaone PI)) + (text . "\tab{34} ") + (bcStrings (6 1 iaintone PI)) + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Constant of integration {\it qatm1}: ") + (text . "\newline \tab{2} ") + (bcStrings (6 "0.0" qatmone F)) + (text . "\blankline") + (text . "\newline \menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Ifail value: ") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'e02ajfSolve) + htShowPage() + +e02ajfSolve htPage == + n := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) + objValUnwrap htpLabelSpadValue(htPage, 'n) + xmin := htpLabelInputString(htPage,'xmin) + xmax := htpLabelInputString(htPage,'xmax) + iaone := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'iaone) + objValUnwrap htpLabelSpadValue(htPage, 'iaone) + iaintone := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'iaintone) + objValUnwrap htpLabelSpadValue(htPage, 'iaintone) + la := 1+n*iaone +-- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'la) +-- objValUnwrap htpLabelSpadValue(htPage, 'la) + laint := n*iaintone + 1 + qatmone := htpLabelInputString(htPage,'qatmone) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + (n = '6 and (la ='7 and laint = '7)) => + e02ajfDefaultSolve(htPage,xmin,xmax,iaone,iaintone,qatmone,ifail) + labelList := + "append"/[f(i) for i in 1..la] where f(i) == + prefix := ('"\newline \tab{15} ") + anam := INTERN STRCONC ('"a",STRINGIMAGE i) + [['text,:prefix],['bcStrings,[10, "0.0000", anam, 'F]]] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :labelList] + page := htInitPage("E02AJF - Integral of fitted polynomial in Chebyshev series form",nil) + htSay '"\menuitemstyle{}\tab{2} Coefficients of {\it a(la)}: " + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02ajfGen) + htpSetProperty(page,'n,n) + htpSetProperty(page,'la,la) + htpSetProperty(page,'laint,laint) + htpSetProperty(page,'xmin,xmin) + htpSetProperty(page,'xmax,xmax) + htpSetProperty(page,'iaone,iaone) + htpSetProperty(page,'iaintone,iaintone) + htpSetProperty(page,'qatmone,qatmone) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02ajfDefaultSolve (htPage,xmin,xmax,iaone,iaintone,qatmone,ifail) == + n := '6 + la := '7 + laint := '8 + page := htInitPage('"E02AJF - Integral of fitted polynomial in Chebyshev series form",nil) + htMakePage '( + (domainConditions + (isDomain PI (Positive Integer)) + (isDomain F (Float))) + (text . "\menuitemstyle{}\tab{2} ") + (text . "Coefficients of {\it a(la)}: ") + (text . "\newline \tab{15}") + (bcStrings (10 "2.53213" a1 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "1.13032" a2 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.27150" a3 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.04434" a4 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.00547" a5 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.00054" a6 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.00004" a7 F)) + (text . "\blankline")) + htMakeDoneButton('"Continue",'e02ajfGen) + htpSetProperty(page,'n,n) + htpSetProperty(page,'la,la) + htpSetProperty(page,'laint,laint) + htpSetProperty(page,'xmin,xmin) + htpSetProperty(page,'xmax,xmax) + htpSetProperty(page,'iaone,iaone) + htpSetProperty(page,'iaintone,iaintone) + htpSetProperty(page,'qatmone,qatmone) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02ajfGen htPage == + n := htpProperty(htPage,'n) + la := htpProperty(htPage,'la) + laint := htpProperty(htPage,'laint) + xmin := htpProperty(htPage,'xmin) + xmax := htpProperty(htPage,'xmax) + iaone := htpProperty(htPage,'iaone) + iaintone := htpProperty(htPage,'iaintone) + qatmone := htpProperty(htPage,'qatmone) + ifail := htpProperty(htPage,'ifail) + alist := htpInputAreaAlist htPage + np1 := n + 1 + y := alist + while y repeat + right := STRCONC ((first y).1," ") + y := rest y + arrayList := [right,:arrayList] + astring := bcwords2liststring arrayList + prefix := STRCONC('"e02ajf(",STRINGIMAGE np1,", ",xmin,", ",xmax,", [") + prefix := STRCONC(prefix,astring,"], ",STRINGIMAGE iaone,", ") + prefix := STRCONC(prefix,STRINGIMAGE la,", ",qatmone,", ") + prefix := STRCONC(prefix,STRINGIMAGE iaintone) + prefix := STRCONC(prefix,", ",STRINGIMAGE laint,", ",STRINGIMAGE ifail,")") + linkGen prefix + +e02akf() == + htInitPage('"E02AKF - Evaluation of fitted polynomial in one variable, from Chebyshev series form",nil) + htMakePage '( + (domainConditions + (isDomain F (Float)) + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02akf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02akf| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "Evaluates at the point x the Chebyshev series representation ") + (text . "representation \newline \center{\htbitmap{e02ahf1}} ") + (text . "of a polynomial, where \htbitmap{xbar} is the normalis") + (text . "ed argument, related to the original variable {\it x} by the ") + (text . "transformation \blankline \center{\htbitmap{e02adf1}}") + (text . ",\htbitmap{xmin} and \htbitmap{xmax} being ") + (text . "minimum and maximum values of {\it x} respectively. ") + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Degree of the polynomial {\it n}:") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Evaluation point {\it x}: ") + (text . "\newline \tab{2} ") + (bcStrings (6 6 n PI)) + (text . "\tab{34} ") + (bcStrings (6 "-0.5" x F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\newline \htbitmap{xmin}: ") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "\htbitmap{xmax}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 "-0.5" xmin F)) + (text . "\tab{34} ") + (bcStrings (6 "2.5" xmax F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") +-- (text . "\newline Dimension of array {\it a}, {\it la} : ") +-- (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Index increment of {\it a}, {\it ia1}: ") + (text . "\newline\tab{2} ") +-- (bcStrings (6 7 la PI)) +-- (text . "\tab{34} ") + (bcStrings (6 1 iaone PI)) + (text . "\blankline") + (text . "\newline \menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Ifail value: ") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'e02akfSolve) + htShowPage() + +e02akfSolve htPage == + n := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) + objValUnwrap htpLabelSpadValue(htPage, 'n) + x := htpLabelInputString(htPage,'x) + xmin := htpLabelInputString(htPage,'xmin) + xmax := htpLabelInputString(htPage,'xmax) + iaone := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'iaone) + objValUnwrap htpLabelSpadValue(htPage, 'iaone) + la := 1+n*iaone +-- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'la) +-- objValUnwrap htpLabelSpadValue(htPage, 'la) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + (n = '6 and la ='7) => e02akfDefaultSolve(htPage,xmin,xmax,x,iaone,ifail) + labelList := + "append"/[f(i) for i in 1..la] where f(i) == + prefix := ('"\newline \tab{15} ") + anam := INTERN STRCONC ('"a",STRINGIMAGE i) + [['text,:prefix],['bcStrings,[10, "0.0000", anam, 'F]]] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :labelList] + page := htInitPage("E02AKF - Evaluation of fitted polynomial in one variable, from Chebyshev series form",nil) + htSay '"\menuitemstyle{}\tab{2} Coefficients of {\it a(la)}:" + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02akfGen) + htpSetProperty(page,'n,n) + htpSetProperty(page,'x,x) + htpSetProperty(page,'la,la) + htpSetProperty(page,'xmin,xmin) + htpSetProperty(page,'xmax,xmax) + htpSetProperty(page,'iaone,iaone) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02akfDefaultSolve (htPage,xmin,xmax,x,iaone,ifail) == + n := '6 + la := '7 + page := htInitPage('"E02AKF - Evaluation of fitted polynomial in one variable, from Chebyshev series form",nil) + htMakePage '( + (domainConditions + (isDomain PI (Positive Integer)) + (isDomain F (Float))) + (text . "\menuitemstyle{}\tab{2} ") + (text . "Coefficients of {\it a(la)}: ") + (text . "\newline \tab{15}") + (bcStrings (10 "2.53213" a1 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "1.13032" a2 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.27150" a3 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.04434" a4 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.00547" a5 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.00054" a6 F)) + (text . "\newline \tab{15}") + (bcStrings (10 "0.00004" a7 F)) + (text . "\blankline")) + htMakeDoneButton('"Continue",'e02akfGen) + htpSetProperty(page,'n,n) + htpSetProperty(page,'la,la) + htpSetProperty(page,'x,x) + htpSetProperty(page,'xmin,xmin) + htpSetProperty(page,'xmax,xmax) + htpSetProperty(page,'iaone,iaone) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02akfGen htPage == + n := htpProperty(htPage,'n) + x := htpProperty(htPage,'x) + la := htpProperty(htPage,'la) + xmin := htpProperty(htPage,'xmin) + xmax := htpProperty(htPage,'xmax) + iaone := htpProperty(htPage,'iaone) + ifail := htpProperty(htPage,'ifail) + alist := htpInputAreaAlist htPage + np1 := n + 1 + y := alist + while y repeat + right := STRCONC ((first y).1," ") + y := rest y + arrayList := [right,:arrayList] + astring := bcwords2liststring arrayList + prefix := STRCONC('"e02akf(",STRINGIMAGE np1,", ",xmin,", ",xmax,", [") + prefix := STRCONC(prefix,astring,"], ",STRINGIMAGE iaone,", ") + prefix := STRCONC(prefix,STRINGIMAGE la,", ",x,", ",STRINGIMAGE ifail,")") + linkGen prefix + + +e02baf() == + htInitPage('"E02BAF - Least-squares curve cubic spine fit",nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02baf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02baf| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "Determines a least-squares cubic spline approximation to the ") + (text . "set of points {\it (}\htbitmap{xr},") + (text . "\htbitmap{yr}{\it )} with weights ") + (text . "\htbitmap{wr}, for r = 1,2,...,m. ") + (text . "The knots \htbitmap{lamdai}, for i = 1,2,...,") + (text . "\htbitmap{ncap}+7, are prescribed by the user. The ") + (text . "spline is given by the B-spline representation \blankline ") + (text . "\center{\htbitmap{e02baf}} where ") + (text . "\htbitmap{ncap} is the number of intervals of the ") + (text . "spline. \blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Number of data points {\it m}:") + (text . "\newline \tab{2} ") + (bcStrings (6 14 m PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Number of intervals in the spline \htbitmap{ncap}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 5 ncap 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", 'e02bafSolve) + htShowPage() + +e02bafSolve htPage == + m := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) + objValUnwrap htpLabelSpadValue(htPage, 'm) + ncap := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ncap) + objValUnwrap htpLabelSpadValue(htPage, 'ncap) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + (m = '14 and ncap ='5) => e02bafDefaultSolve(htPage,ifail) + labelList := + "append"/[f(i) for i in 1..m] where f(i) == + prefix := ('"\newline \tab{2} ") + middle := ('"\tab{22} ") + post := ('" \tab{42} ") + xnam := INTERN STRCONC ('"x",STRINGIMAGE i) + ynam := INTERN STRCONC ('"y",STRINGIMAGE i) + znam := INTERN STRCONC ('"z",STRINGIMAGE i) + num := INTERN STRCONC (STRINGIMAGE (QUOTIENT(i,10)),".",STRINGIMAGE (REM(i,10))) + [['text,:prefix],['bcStrings,[10, num, xnam, 'F]], + ['text,:middle],['bcStrings,[10, 0.0, ynam, 'F]], + ['text,:post],['bcStrings,[10, 0.0, znam, 'F]]] + lamdaList := + "append"/[g(j) for j in 5..(ncap+3)] where g(j) == + anam := INTERN STRCONC ('"a",STRINGIMAGE j) + [['bcStrings,[6, 0.0, anam, 'F]]] + prefix := ('"\blankline \menuitemstyle{}\tab{2} Interior knots ") + prefix := STRCONC(prefix,"\htbitmap{lamdai}, for i = 5,6,...,") + prefix := STRCONC(prefix,"\htbitmap{ncap} + 3: \newline \tab{2}" ) + lamdaList := [['text,:prefix],:lamdaList] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :labelList,:lamdaList] + page := htInitPage("E02BAF - Least-squares curve cubic spline fit",nil) + htSay '"\menuitemstyle{}\tab{2} Values of \space{1} " + htSay '"\htbitmap{xr}: \tab{20} \menuitemstyle{}\tab{22} " + htSay '"Values of \space{1} \htbitmap{fr}: \tab{40}" + htSay '"\menuitemstyle{}\tab{42} Values of \space{1} " + htSay '"\htbitmap{dr}: " + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02bafGen) + htpSetProperty(page,'m,m) + htpSetProperty(page,'ncap,ncap) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02bafDefaultSolve (htPage,ifail) == + m := '14 + ncap := '5 + page := htInitPage('"E02BAF - Least-squares curve cubic spline fit",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\menuitemstyle{}\tab{2} Values of \space{1} ") + (text . "\htbitmap{xr}: \tab{20} \menuitemstyle{}\tab{22} ") + (text . "Values of \space{1} \htbitmap{yr}: \tab{40} ") + (text . "\menuitemstyle{}\tab{42} Values of \space{1} ") + (text . "\htbitmap{wr}: ") + (text . "\newline \tab{2}") + (bcStrings (10 "0.20" x1 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.00" y1 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.20" z1 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.47" x2 F)) + (text . "\tab{22} ") + (bcStrings (10 "2.00" y2 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.20" z2 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.74" x3 F)) + (text . "\tab{22} ") + (bcStrings (10 "4.00" y3 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.30" z3 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "1.09" x4 F)) + (text . "\tab{22} ") + (bcStrings (10 "6.00" y4 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.70" z4 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "1.60" x5 F)) + (text . "\tab{22} ") + (bcStrings (10 "8.00" y5 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.90" z5 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "1.90" x6 F)) + (text . "\tab{22} ") + (bcStrings (10 "8.62" y6 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z6 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "2.60" x7 F)) + (text . "\tab{22} ") + (bcStrings (10 "9.10" y7 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z7 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "3.10" x8 F)) + (text . "\tab{22} ") + (bcStrings (10 "8.90" y8 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z8 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "4.00" x9 F)) + (text . "\tab{22} ") + (bcStrings (10 "8.15" y9 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.80" z9 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "5.15" x10 F)) + (text . "\tab{22} ") + (bcStrings (10 "7.00" y10 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.50" z10 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "6.17" x11 F)) + (text . "\tab{22} ") + (bcStrings (10 "6.00" y11 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.70" z11 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "8.00" x12 F)) + (text . "\tab{22} ") + (bcStrings (10 "4.54" y12 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z12 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "10.00" x13 F)) + (text . "\tab{22} ") + (bcStrings (10 "3.39" y13 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z13 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "12.00" x14 F)) + (text . "\tab{22} ") + (bcStrings (10 "2.56" y14 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z14 F)) + (text . "\blankline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "Interior knots \htbitmap{lamdai}, for i = 5,6,...") + (text . "\htbitmap{ncap} + 3: \newline \tab{2}") + (bcStrings (6 "1.50" l1 F)) + (bcStrings (6 "2.60" l2 F)) + (bcStrings (6 "4.00" l3 F)) + (bcStrings (6 "8.00" l4 F)) + (text . "\blankline")) + htMakeDoneButton('"Continue",'e02bafGen) + htpSetProperty(page,'m,m) + htpSetProperty(page,'ncap,ncap) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02bafGen htPage == + m := htpProperty(htPage,'m) + ncap := htpProperty(htPage,'ncap) + ifail := htpProperty(htPage,'ifail) + alist := htpInputAreaAlist htPage + ncap7 := ncap + 7 + y := alist + for i in (ncap+4)..(ncap+7) repeat + lambda := STRCONC( "0.0"," ") + lambdaList := [lambda,:lambdaList] + for i in 5..(ncap+3) repeat + lambda := STRCONC ((first y).1," ") + y := rest y + lambdaList := [lambda,:lambdaList] + for i in 1..4 repeat + lambda := STRCONC( "0.0"," ") + lambdaList := [lambda,:lambdaList] + lambdaString := bcwords2liststring lambdaList + while y repeat + 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] + wlist := [right,:wlist] + xstring := bcwords2liststring xlist + ystring := bcwords2liststring ylist + wstring := bcwords2liststring wlist + prefix := STRCONC('"e02baf(",STRINGIMAGE m,", ",STRINGIMAGE ncap7,", [") + prefix := STRCONC(prefix,xstring,"],[",ystring,"],[",wstring,"], [") + prefix := STRCONC(prefix,lambdaString,"], ",STRINGIMAGE ifail,")") + linkGen prefix + + +e02bbf() == + htInitPage('"E02BBF - Evaluation of fitted cubic spline, function only",nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02bbf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02bbf| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "Evaluates at the point {\it x} a cubic spline from its B-spline ") + (text . "B-spline representation ") + (text . "\center{\htbitmap{e02baf}} where ") + (text . "\htbitmap{ncap} is the number of intervals of the ") + (text . "spline. The spline has knots \htbitmap{lamdai}, for ") + (text . "i = 1,2,...,\htbitmap{ncap} + 7. \blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Number of intervals in the spline \htbitmap{ncap}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 4 ncap PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Evaluation point {\it x}:") + (text . "\newline \tab{2} ") + (bcStrings (6 "2.0" x F)) + (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", 'e02bbfSolve) + htShowPage() + +e02bbfSolve htPage == + ncap := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ncap) + objValUnwrap htpLabelSpadValue(htPage, 'ncap) + x := htpLabelInputString(htPage,'x) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + ncap = '4 => e02bbfDefaultSolve(htPage,x,ifail) + labelList := + "append"/[f(i) for i in 1..(ncap+7)] where f(i) == + prefix := ('"\newline \tab{2} ") + middle := ('"\tab{22} ") + lnam := INTERN STRCONC ('"l",STRINGIMAGE i) + cnam := INTERN STRCONC ('"c",STRINGIMAGE i) + num := INTERN STRCONC (STRINGIMAGE (QUOTIENT(i,10)),".",STRINGIMAGE (REM(i,10))) + [['text,:prefix],['bcStrings,[10, num, lnam, 'F]], + ['text,:middle],['bcStrings,[10, 0.0, cnam, 'F]]] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :labelList] + page := htInitPage("E02BBF - Evaluation of fitted cubic spline, function only",nil) + htSay '"\menuitemstyle{}\tab{2} Knots \htbitmap{lamdai}: " + htSay '"\tab{20} \menuitemstyle{}\tab{22} " + htSay '"Coefficients \space{1} \htbitmap{ci}: " + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02bbfGen) + htpSetProperty(page,'ncap,ncap) + htpSetProperty(page,'x,x) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02bbfDefaultSolve (htPage,x,ifail) == + ncap := '4 + page := htInitPage('"E02BBF - Evaluation of fitted cubic spline, function only",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2} Knots \space{1}") + (text . "\htbitmap{lamdai}: \tab{20} \menuitemstyle{}\tab{22} ") + (text . "Coefficients \space{1} \htbitmap{ci}: ") + (text . "\newline \tab{2}") + (bcStrings (10 "1.00" l1 F)) + (text . "\tab{22} ") + (bcStrings (10 "1.00" c1 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "1.00" l2 F)) + (text . "\tab{22} ") + (bcStrings (10 "2.00" c2 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "1.00" l3 F)) + (text . "\tab{22} ") + (bcStrings (10 "4.00" c3 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "1.00" l4 F)) + (text . "\tab{22} ") + (bcStrings (10 "7.00" c4 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "3.00" l5 F)) + (text . "\tab{22} ") + (bcStrings (10 "6.00" c5 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "6.00" l6 F)) + (text . "\tab{22} ") + (bcStrings (10 "4.00" c6 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "8.00" l7 F)) + (text . "\tab{22} ") + (bcStrings (10 "3.00" c7 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "9.00" l8 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.00" c8 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "9.00" l9 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.00" c9 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "9.00" l10 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.00" c10 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "9.00" l11 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.00" c11 F)) + (text . "\blankline")) + htMakeDoneButton('"Continue",'e02bbfGen) + htpSetProperty(page,'ncap,ncap) + htpSetProperty(page,'x,x) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02bbfGen htPage == + ncap := htpProperty(htPage,'ncap) + x := htpProperty(htPage,'x) + ifail := htpProperty(htPage,'ifail) + alist := htpInputAreaAlist htPage + ncap7 := ncap + 7 + y := alist + while y repeat + right := STRCONC ((first y).1," ") + y := rest y + left := STRCONC ((first y).1," ") + y := rest y + lamlist := [left,:lamlist] + clist := [right,:clist] + lamstring := bcwords2liststring lamlist + cstring := bcwords2liststring clist + prefix := STRCONC('"e02bbf(",STRINGIMAGE ncap7,", [",lamstring,"],[") + prefix := STRCONC(prefix,cstring,"], ",x,", ",STRINGIMAGE ifail,")") + linkGen prefix + + +e02bcf() == + htInitPage('"E02BCF - Evaluation of fitted cubic spline, function and derivatives",nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02bcf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02bcf| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "Evaluates at the point {\it x} a cubic spline and its first ") + (text . "three derivatives from its B-spline representation ") + (text . "\center{\htbitmap{e02baf}} where ") + (text . "\htbitmap{ncap} is the number of intervals of the ") + (text . "spline. The spline has knots \htbitmap{lamdai}, for ") + (text . "i = 1,2,...,\htbitmap{ncap} + 7. \blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Number of intervals in the spline \htbitmap{ncap}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 7 ncap PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Evaluation point {\it x}:") + (text . "\newline \tab{2} ") + (bcStrings (6 "2.0" x F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "{\it LEFT} specifies whether LH or RH derivatives are required: ") + (radioButtons deriv + ("" " Left-hand derivative" left) + ("" " Right-hand derivative" right)) + (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", 'e02bcfSolve) + htShowPage() + +e02bcfSolve htPage == + ncap := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ncap) + objValUnwrap htpLabelSpadValue(htPage, 'ncap) + x := htpLabelInputString(htPage,'x) + temp := htpButtonValue(htPage,'deriv) + deriv := + temp = 'left => '1 + '2 + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + ncap = '7 => e02bcfDefaultSolve(htPage,x,deriv,ifail) + labelList := + "append"/[f(i) for i in 1..(ncap+7)] where f(i) == + prefix := ('"\newline \tab{2} ") + middle := ('"\tab{22} ") + lnam := INTERN STRCONC ('"l",STRINGIMAGE i) + cnam := INTERN STRCONC ('"c",STRINGIMAGE i) + num := INTERN STRCONC (STRINGIMAGE (QUOTIENT(i,10)),".",STRINGIMAGE (REM(i,10))) + [['text,:prefix],['bcStrings,[10, num, lnam, 'F]], + ['text,:middle],['bcStrings,[10, 0.0, cnam, 'F]]] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :labelList] + page := htInitPage("E02BCF - Evaluation of fitted cubic spline, function and derivatives",nil) + htSay '"\menuitemstyle{}\tab{2} Knots \htbitmap{lamdai}: " + htSay '"\tab{20} \menuitemstyle{}\tab{22} " + htSay '"Coefficients \space{1} \htbitmap{ci}: " + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02bcfGen) + htpSetProperty(page,'ncap,ncap) + htpSetProperty(page,'x,x) + htpSetProperty(page,'deriv,deriv) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02bcfDefaultSolve (htPage,x,deriv,ifail) == + ncap := '7 + page := htInitPage('"E02BCF - Evaluation of fitted cubic spline, function and derivatives",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\menuitemstyle{}\tab{2} Knots \space{1}") + (text . "\htbitmap{lamdai}: \tab{20} \menuitemstyle{}\tab{22} ") + (text . "Coefficients \space{1} \htbitmap{ci}: ") + (text . "\newline \tab{2}") + (bcStrings (10 "0.0" l1 F)) + (text . "\tab{22} ") + (bcStrings (10 "10.00" c1 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.00" l2 F)) + (text . "\tab{22} ") + (bcStrings (10 "12.00" c2 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.00" l3 F)) + (text . "\tab{22} ") + (bcStrings (10 "13.00" c3 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.00" l4 F)) + (text . "\tab{22} ") + (bcStrings (10 "15.00" c4 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "1.00" l5 F)) + (text . "\tab{22} ") + (bcStrings (10 "22.00" c5 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "3.00" l6 F)) + (text . "\tab{22} ") + (bcStrings (10 "26.00" c6 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "3.00" l7 F)) + (text . "\tab{22} ") + (bcStrings (10 "24.00" c7 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "3.00" l8 F)) + (text . "\tab{22} ") + (bcStrings (10 "18.00" c8 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "4.00" l9 F)) + (text . "\tab{22} ") + (bcStrings (10 "14.00" c9 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "4.00" l10 F)) + (text . "\tab{22} ") + (bcStrings (10 "12.00" c10 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "6.00" l11 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.00" c11 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "6.00" l12 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.00" c12 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "6.00" l13 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.00" c13 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "6.00" l14 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.00" c14 F)) + (text . "\blankline")) + htMakeDoneButton('"Continue",'e02bcfGen) + htpSetProperty(page,'ncap,ncap) + htpSetProperty(page,'x,x) + htpSetProperty(page,'deriv,deriv) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02bcfGen htPage == + ncap := htpProperty(htPage,'ncap) + x := htpProperty(htPage,'x) + deriv := htpProperty(htPage,'deriv) + ifail := htpProperty(htPage,'ifail) + alist := htpInputAreaAlist htPage + ncap7 := ncap + 7 + y := alist + while y repeat + right := STRCONC ((first y).1," ") + y := rest y + left := STRCONC ((first y).1," ") + y := rest y + lamlist := [left,:lamlist] + clist := [right,:clist] + lamstring := bcwords2liststring lamlist + cstring := bcwords2liststring clist + prefix := STRCONC('"e02bcf(",STRINGIMAGE ncap7,", [",lamstring,"],[") + prefix := STRCONC(prefix,cstring,"], ",x,", ",STRINGIMAGE deriv) + prefix := STRCONC(prefix,", ",STRINGIMAGE ifail,")") + linkGen prefix + + + +e02bdf() == + htInitPage('"E02BDF - Evaluation of fitted cubic spline, definite integral",nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02bdf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02bdf| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "Evaluates the definite integral of a cubic spline from its ") + (text . "B-spline representation \center{\htbitmap{e02baf}} ") + (text . "where \htbitmap{ncap} is the number of intervals of ") + (text . "the spline. The spline has knots \htbitmap{lamdai}, ") + (text . "for i = 1,2,...,\htbitmap{ncap} + 7, and the integral ") + (text . "is evaluated over the range \htbitmap{e02bdf} ") + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Number of intervals in the spline \htbitmap{ncap}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 7 ncap 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", 'e02bdfSolve) + htShowPage() + +e02bdfSolve htPage == + ncap := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ncap) + objValUnwrap htpLabelSpadValue(htPage, 'ncap) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + ncap = '7 => e02bdfDefaultSolve(htPage,ifail) + labelList := + "append"/[f(i) for i in 1..(ncap+7)] where f(i) == + prefix := ('"\newline \tab{2} ") + middle := ('"\tab{22} ") + lnam := INTERN STRCONC ('"l",STRINGIMAGE i) + cnam := INTERN STRCONC ('"c",STRINGIMAGE i) + num := INTERN STRCONC (STRINGIMAGE (QUOTIENT(i,10)),".",STRINGIMAGE (REM(i,10))) + [['text,:prefix],['bcStrings,[10, num, lnam, 'F]], + ['text,:middle],['bcStrings,[10, 0.0, cnam, 'F]]] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :labelList] + page := htInitPage("E02BDF - Evaluation of fitted cubic spline, definite integral",nil) + htSay '"\menuitemstyle{}\tab{2} Knots \htbitmap{lamdai}: " + htSay '"\tab{20} \menuitemstyle{}\tab{22} " + htSay '"Coefficients \space{1} \htbitmap{ci}: " + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02bdfGen) + htpSetProperty(page,'ncap,ncap) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02bdfDefaultSolve(htPage,ifail) == + ncap := '7 + page := htInitPage('"E02BDF - Evaluation of fitted cubic spline, definite integral",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain F (Float)) + (isDomain I (Integer))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2} Knots \space{1}") + (text . "\htbitmap{lamdai}: \tab{20} \menuitemstyle{}\tab{22} ") + (text . "Coefficients \space{1} \htbitmap{ci}: ") + (text . "\newline \tab{2}") + (bcStrings (10 "0.0" l1 F)) + (text . "\tab{22} ") + (bcStrings (10 "10.00" c1 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.00" l2 F)) + (text . "\tab{22} ") + (bcStrings (10 "12.00" c2 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.00" l3 F)) + (text . "\tab{22} ") + (bcStrings (10 "13.00" c3 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.00" l4 F)) + (text . "\tab{22} ") + (bcStrings (10 "15.00" c4 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "1.00" l5 F)) + (text . "\tab{22} ") + (bcStrings (10 "22.00" c5 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "3.00" l6 F)) + (text . "\tab{22} ") + (bcStrings (10 "26.00" c6 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "3.00" l7 F)) + (text . "\tab{22} ") + (bcStrings (10 "24.00" c7 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "3.00" l8 F)) + (text . "\tab{22} ") + (bcStrings (10 "18.00" c8 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "4.00" l9 F)) + (text . "\tab{22} ") + (bcStrings (10 "14.00" c9 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "4.00" l10 F)) + (text . "\tab{22} ") + (bcStrings (10 "12.00" c10 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "6.00" l11 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.00" c11 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "6.00" l12 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.00" c12 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "6.00" l13 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.00" c13 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "6.00" l14 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.00" c14 F))) + htpSetProperty(page,'ncap,ncap) + htpSetProperty(page,'ifail,ifail) + htMakeDoneButton('"Continue",'e02bdfGen) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02bdfGen htPage == + ncap := htpProperty(htPage,'ncap) + ifail := htpProperty(htPage,'ifail) + alist := htpInputAreaAlist htPage + ncap7 := ncap + 7 + y := alist + while y repeat + right := STRCONC ((first y).1," ") + y := rest y + left := STRCONC ((first y).1," ") + y := rest y + lamlist := [left,:lamlist] + clist := [right,:clist] + lamstring := bcwords2liststring lamlist + cstring := bcwords2liststring clist + prefix := STRCONC('"e02bdf(",STRINGIMAGE ncap7,", [",lamstring,"],[") + prefix := STRCONC(prefix,cstring,"], ",STRINGIMAGE ifail,")") + linkGen prefix + + + +e02bef() == + htInitPage('"E02BEF - Least-squares curve cubic spline fit, automatic knot placement",nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02bef} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02bef| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\newline ") + (text . "Determines a cubic spline approximation to the set of points ") + (text . "{\it ( \htbitmap{xr},\htbitmap{yr}) } ") + (text . "with weights \htbitmap{wr}, for r = 1,2,...,m. ") + (text . "The knots \htbitmap{lamdai}, for i = 1,2,...,n, ") + (text . "are chosen by the routine, but a single parameter S must be ") + (text . "specified to control the trade-off between closeness of fit and ") + (text . "smoothness of fit. This affects the number of knots required ") + (text . "by the spline, which is given in the B-spline representation ") + (text . "\center{\htbitmap{e02bef}}, where n-1 is the number of") + (text . " intervals of the spline. ") + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Number of data points {\it m}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 15 m PI)) + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Smoothing factor {\it s}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 "1.0" s F)) + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} ") + (text . "Over-estimate of number n of knots {\it nest}:\newline\tab{2} ") + (bcStrings (6 54 nest PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Start value: ") + (radioButtons start + ("" " Cold Start - no values needed for {\it n,lamda,wrk} 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", 'e02befSolve) + htShowPage() + +e02befSolve htPage == + m := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) + objValUnwrap htpLabelSpadValue(htPage, 'm) + nest := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nest) + objValUnwrap htpLabelSpadValue(htPage, 'nest) + lwrk := 4*m +16*nest + 41 + s := htpLabelInputString(htPage,'s) + initial := htpButtonValue(htPage,'start) + start := + initial = 'cold => '1 + '2 + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + (m = 15 and start = 1) => e02befDefaultSolve (htPage,nest,lwrk,s,ifail) + start = 1 => e02befColdSolve (htPage,m,nest,lwrk,s,ifail) + -- warm start not really possible from hyperdoc + -- as inputing a workspace array of dimension 1105 is asking too much + -- user should use the command line, using the previous calculated + -- parameters + htInitPage('"E02BEF - Least-squares curve cubic spline fit, automatic knot placement",nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\blankline ") + (text . "{\center{\it Hyperdoc interface not available for warm starts.}}") + (text . "\newline ") + (text . "{\center{\it Please use the command line.}}")) + htMakeDoneButton('"Continue",'e02bef) + htShowPage() + + + +e02befColdSolve(htPage,m,nest,lwrk,s,ifail) == + labelList := + "append"/[f(i) for i in 1..m] where f(i) == + prefix := ('"\newline \tab{2} ") + middle := ('"\tab{22} ") + post := ('" \tab{42} ") + xnam := INTERN STRCONC ('"x",STRINGIMAGE i) + ynam := INTERN STRCONC ('"y",STRINGIMAGE i) + znam := INTERN STRCONC ('"z",STRINGIMAGE i) + num := INTERN STRCONC (STRINGIMAGE (QUOTIENT(i,10)),".",STRINGIMAGE (REM(i,10))) + [['text,:prefix],['bcStrings,[10, num, xnam, 'F]], + ['text,:middle],['bcStrings,[10, 0.0, ynam, 'F]], + ['text,:post],['bcStrings,[10, 0.0, znam, 'F]]] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :labelList] + page := htInitPage('"E02BEF - Least-squares curve cubic spline fit, automatic knot placement",nil) + htSay '"\menuitemstyle{}\tab{2} Values of \space{1} " + htSay '"\htbitmap{xr}: \tab{20} \menuitemstyle{}\tab{22} " + htSay '"Values of \space{1} \htbitmap{yr}: \tab{40}" + htSay '"\menuitemstyle{}\tab{42} Values of \space{1} " + htSay '"\htbitmap{wr}: " + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02befColdGen) + htpSetProperty(page,'m,m) + htpSetProperty(page,'nest,nest) + htpSetProperty(page,'lwrk,lwrk) + htpSetProperty(page,'s,s) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02befDefaultSolve (htPage,nest,lwrk,s,ifail) == + m := 15 + page := htInitPage('"E02BEF - Least-squares curve cubic spline fit, automatic knot placement",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2} Values of \space{1} ") + (text . "\htbitmap{xr}: \tab{20} \menuitemstyle{}\tab{22} ") + (text . "Values of \space{1} \htbitmap{yr}: \tab{40} ") + (text . "\menuitemstyle{}\tab{42} Values of \space{1} ") + (text . "\htbitmap{wr}: ") + (text . "\newline \tab{2}") + (bcStrings (10 "0.00" x1 F)) + (text . "\tab{22} ") + (bcStrings (10 "-1.1" y1 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z1 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "0.50" x2 F)) + (text . "\tab{22} ") + (bcStrings (10 "-0.372" y2 F)) + (text . "\tab{42} ") + (bcStrings (10 "2.00" z2 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "1.00" x3 F)) + (text . "\tab{22} ") + (bcStrings (10 "0.431" y3 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.50" z3 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "1.50" x4 F)) + (text . "\tab{22} ") + (bcStrings (10 "1.69" y4 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z4 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "2.00" x5 F)) + (text . "\tab{22} ") + (bcStrings (10 "2.11" y5 F)) + (text . "\tab{42} ") + (bcStrings (10 "3.00" z5 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "2.50" x6 F)) + (text . "\tab{22} ") + (bcStrings (10 "3.10" y6 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z6 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "3.00" x7 F)) + (text . "\tab{22} ") + (bcStrings (10 "4.23" y7 F)) + (text . "\tab{42} ") + (bcStrings (10 "0.50" z7 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "4.00" x8 F)) + (text . "\tab{22} ") + (bcStrings (10 "4.35" y8 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z8 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "4.50" x9 F)) + (text . "\tab{22} ") + (bcStrings (10 "4.81" y9 F)) + (text . "\tab{42} ") + (bcStrings (10 "2.00" z9 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "5.00" x10 F)) + (text . "\tab{22} ") + (bcStrings (10 "4.61" y10 F)) + (text . "\tab{42} ") + (bcStrings (10 "2.50" z10 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "5.50" x11 F)) + (text . "\tab{22} ") + (bcStrings (10 "4.79" y11 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z11 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "6.00" x12 F)) + (text . "\tab{22} ") + (bcStrings (10 "5.23" y12 F)) + (text . "\tab{42} ") + (bcStrings (10 "3.00" z12 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "7.00" x13 F)) + (text . "\tab{22} ") + (bcStrings (10 "6.35" y13 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z13 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "7.50" x14 F)) + (text . "\tab{22} ") + (bcStrings (10 "7.19" y14 F)) + (text . "\tab{42} ") + (bcStrings (10 "2.00" z14 F)) + (text . "\newline \tab{2} ") + (bcStrings (10 "8.00" x15 F)) + (text . "\tab{22} ") + (bcStrings (10 "7.97" y15 F)) + (text . "\tab{42} ") + (bcStrings (10 "1.00" z15 F)) + (text . "\blankline")) + htMakeDoneButton('"Continue",'e02befColdGen) + htpSetProperty(page,'m,m) + htpSetProperty(page,'nest,nest) + htpSetProperty(page,'lwrk,lwrk) + htpSetProperty(page,'s,s) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02befColdGen htPage == + m := htpProperty(htPage,'m) + nest := htpProperty(htPage,'nest) + lwrk := htpProperty(htPage,'lwrk) + s := htpProperty(htPage,'s) + cold := '"c" + ifail := htpProperty(htPage,'ifail) + alist := htpInputAreaAlist htPage + y := alist + while y repeat + 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] + wlist := [right,:wlist] + xstring := bcwords2liststring xlist + ystring := bcwords2liststring ylist + wstring := bcwords2liststring wlist + -- additional entries needed to get it running + -- but as Start = c they are not used + -- mmax := 50 + -- nest := mmax + 4 (54) + -- lwrk := 4*mmax + 16*nest+41 (1105) + prefix := STRCONC('"e02bef(_"",cold,"_",",STRINGIMAGE m,", [",xstring,"],[") + prefix := STRCONC(prefix,ystring,"],[",wstring,"], ",STRINGIMAGE s,", ") + prefix := STRCONC(prefix,STRINGIMAGE nest,", ",STRINGIMAGE lwrk) +-- prefix := STRCONC(prefix,",0, [[0.0 for i in 1..",STRINGIMAGE nest,"]],") +-- prefix := STRCONC(prefix,STRINGIMAGE ifail,", [[0.0 for i in 1..") +-- prefix := STRCONC(prefix,STRINGIMAGE lwrk,"]], [[0 for i in 1..") +-- prefix := STRCONC(prefix,STRINGIMAGE nest,"]] :: Matrix Integer)") + prefix := STRCONC(prefix,",0, new(1,",STRINGIMAGE nest,",0.0)$Matrix DoubleFloat,") + prefix := STRCONC(prefix,STRINGIMAGE ifail,", new(1,",STRINGIMAGE lwrk,",0.0)$Matrix DoubleFloat, ") + prefix := STRCONC(prefix," new(1,",STRINGIMAGE nest,",0)$Matrix Integer)") + linkGen prefix + +e02def() == + htInitPage('"E02DEF - Evaluation of a fitted bicubic spline at a vector of points",nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02def} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02def| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "Evaluates a bicubic spline at the (\htbitmap{xr},") + (text . "\htbitmap{yr}), for r = 1,2,...,m, from its B-spline ") + (text . "representation \htbitmap{e02daf} ") + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Number of evaluation points, {\it m}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 7 m PI)) + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Number of (interior & exterior) knots ") + (text . "\lambda, \htbitmap{px} \htbitmap{great=} 8: \newline\tab{2} ") + (bcStrings (6 11 px PI)) + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} \newline ") + (text . "Number of (interior & exterior) knots ") + (text . "\mu, \htbitmap{py} \htbitmap{great=} 8: \newline\tab{2} ") + (bcStrings (6 10 py 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", 'e02defSolve) + htShowPage() + +e02defSolve 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) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + ((m = '7 and px = '11) and py = '10) => e02defDefaultSolve(htPage,ifail) + labelList := + "append"/[fxy(i) for i in 1..m] where fxy(i) == + prefix := ('"\newline \tab{2} ") + middle := ('"\tab{22} ") + xnam := INTERN STRCONC ('"x",STRINGIMAGE i) + ynam := INTERN STRCONC ('"y",STRINGIMAGE i) + [['text,:prefix],['bcStrings,[8, 0.0, xnam, 'F]], + ['text,:middle],['bcStrings,[8, 0.0, ynam, 'F]]] + lamList := + "append"/[flam(i) for i in 1..px] where flam(i) == + lnam := INTERN STRCONC ('"l",STRINGIMAGE i) + [['bcStrings,[8, 0.0, lnam, 'F]]] + prefix := ('"\blankline \menuitemstyle{} \tab{2} {\it \lambda(nxest)}: \newline") + lamList := [['text,:prefix],:lamList] + muList := + "append"/[fmu(i) for i in 1..(py)] where fmu(i) == + mnam := INTERN STRCONC ('"m",STRINGIMAGE i) + [['bcStrings,[8, 0.0, mnam, 'F]]] + prefix := ('"\blankline \menuitemstyle{} \tab{2} {\it \mu(nyest)}:") + prefix := STRCONC(prefix,"\newline ") + muList := [['text,:prefix],:muList] + cList := + "append"/[fp(i) for i in 1..((px-4)*(py-4))] where fp(i) == + pnam := INTERN STRCONC ('"p",STRINGIMAGE i) + [['bcStrings,[8, 0.0, pnam, 'F]]] + prefix := ('"\blankline \menuitemstyle{}\tab{2}Enter values of ") + prefix := STRCONC(prefix,"{\it c((nxest*4)-(nyest*4))}: \newline ") + cList := [['text,:prefix],:cList] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :labelList,:lamList,:muList,:cList] + page := htInitPage('"E02DEF - Evaluation of a fitted bicubic spline at a vector of points",nil) + htSay '"\menuitemstyle{}\tab{2} Values of \htbitmap{xr}: " + htSay '"\tab{20} \menuitemstyle{}\tab{22} Values of \htbitmap{yr}:" + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02defGen) + htpSetProperty(page,'m,m) + htpSetProperty(page,'px,px) + htpSetProperty(page,'py,py) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02defDefaultSolve (htPage,ifail) == + m := '7 + px := '11 + py := '10 + page := htInitPage('"E02DEF - Evaluation of a fitted bicubic spline at a vector of points",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2} Values of \htbitmap{xr}:") + (text . "\tab{20} \menuitemstyle{} \tab{22} Values of ") + (text . "\htbitmap{yr}: ") + (text . "\newline \tab{2} ") + (bcStrings (8 "1" x1 F)) + (text . "\tab{22}") + (bcStrings (8 "0" y1 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "1.1" x2 F)) + (text . "\tab{22}") + (bcStrings (8 "0.1" y2 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "1.5" x3 F)) + (text . "\tab{22}") + (bcStrings (8 "0.7" y3 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "1.6" x4 F)) + (text . "\tab{22}") + (bcStrings (8 "0.4" y4 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "1.9" x5 F)) + (text . "\tab{22}") + (bcStrings (8 "0.3" y5 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "1.9" x6 F)) + (text . "\tab{22}") + (bcStrings (8 "0.8" y6 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "2" x7 F)) + (text . "\tab{22}") + (bcStrings (8 "1" y7 F)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2} {\it \lambda(nxest)}:") + (text . "\newline ") + (bcStrings (8 "1.0" l1 F)) + (bcStrings (8 "1.0" l2 F)) + (bcStrings (8 "1.0" l3 F)) + (bcStrings (8 "1.0" l4 F)) + (bcStrings (8 "1.3" l5 F)) + (bcStrings (8 "1.5" l6 F)) + (bcStrings (8 "1.6" l7 F)) + (bcStrings (8 "2" l8 F)) + (bcStrings (8 "2" l9 F)) + (bcStrings (8 "2" l10 F)) + (bcStrings (8 "2" l11 F)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2} {\it \mu(nyest)}:") + (text . "\newline ") + (bcStrings (8 "0" mu1 F)) + (bcStrings (8 "0" mu2 F)) + (bcStrings (8 "0" mu3 F)) + (bcStrings (8 "0" mu4 F)) + (bcStrings (8 "0.4" mu5 F)) + (bcStrings (8 "0.7" mu6 F)) + (bcStrings (8 "1" mu7 F)) + (bcStrings (8 "1" mu8 F)) + (bcStrings (8 "1" mu9 F)) + (bcStrings (8 "1" mu10 F)) + (text . "\blankline \menuitemstyle{}\tab{2} ") + (text . "Enter values for {\it c((nxest-4)*(nyest-4))}:") + (text . "\newline ") + (bcStrings (8 "1" c1 F)) + (bcStrings (8 "1.1333" c2 F)) + (bcStrings (8 "1.3667" c3 F)) + (bcStrings (8 "1.7" c4 F)) + (bcStrings (8 "1.9" c5 F)) + (bcStrings (8 "2" c6 F)) + (bcStrings (8 "1.2" c7 F)) + (bcStrings (8 "1.3333" c8 F)) + (bcStrings (8 "1.5667" c9 F)) + (bcStrings (8 "1.9" c10 F)) + (bcStrings (8 "2.1" c11 F)) + (bcStrings (8 "2.2" c12 F)) + (bcStrings (8 "1.5833" c13 F)) + (bcStrings (8 "1.7167" c14 F)) + (bcStrings (8 "1.95" c15 F)) + (bcStrings (8 "2.2833" c16 F)) + (bcStrings (8 "2.4833" c17 F)) + (bcStrings (8 "2.5833" c18 F)) + (bcStrings (8 "2.1433" c19 F)) + (bcStrings (8 "2.2767" c20 F)) + (bcStrings (8 "2.51" c21 F)) + (bcStrings (8 "2.8433" c22 F)) + (bcStrings (8 "3.0433" c23 F)) + (bcStrings (8 "3.1433" c24 F)) + (bcStrings (8 "2.8667" c25 F)) + (bcStrings (8 "3" c26 F)) + (bcStrings (8 "3.2333" c27 F)) + (bcStrings (8 "3.5667" c28 F)) + (bcStrings (8 "3.7667" c29 F)) + (bcStrings (8 "3.8667" c30 F)) + (bcStrings (8 "3.4667" c31 F)) + (bcStrings (8 "3.6" c32 F)) + (bcStrings (8 "3.8333" c33 F)) + (bcStrings (8 "4.1667" c34 F)) + (bcStrings (8 "4.3667" c35 F)) + (bcStrings (8 "4.4667" c36 F)) + (bcStrings (8 "4" c37 F)) + (bcStrings (8 "4.1333" c38 F)) + (bcStrings (8 "4.3667" c39 F)) + (bcStrings (8 "4.7" c40 F)) + (bcStrings (8 "4.9" c41 F)) + (bcStrings (8 "5" c42 F)) + (text . "\blankline ")) + htMakeDoneButton('"Continue",'e02defGen) + htpSetProperty(page,'m,m) + htpSetProperty(page,'px,px) + htpSetProperty(page,'py,py) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02defGen htPage == + m := htpProperty(htPage,'m) + px := htpProperty(htPage,'px) + py := htpProperty(htPage,'py) + ifail := htpProperty(htPage,'ifail) + alist := htpInputAreaAlist htPage + y := alist + -- c + for i in 1..((px-4)*(py-4)) repeat + right := STRCONC ((first y).1," ") + y := rest y + cList := [right,:cList] + cstring := bcwords2liststring cList + -- mu + for i in 1..py repeat + right := STRCONC ((first y).1," ") + y := rest y + muList := [right,:muList] + mustring := bcwords2liststring muList + -- lamda + for i in 1..px repeat + right := STRCONC ((first y).1," ") + y := rest y + lamList := [right,: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 + xlist := [two,:xlist] + ylist := [one,:ylist] + xstring := bcwords2liststring xlist + ystring := bcwords2liststring ylist + prefix := STRCONC('"e02def(",STRINGIMAGE m,", ",STRINGIMAGE px,", ") + prefix := STRCONC(prefix,STRINGIMAGE py,",[",xstring,"],[",ystring,"],[") + prefix := STRCONC(prefix,lamstring,"],[",mustring,"],[",cstring,"],") + prefix := STRCONC(prefix,STRINGIMAGE ifail,")") + linkGen prefix + + +e02dff() == + htInitPage('"E02DFF - Evaluation of a fitted bicubic spline at a mesh of points",nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02dff} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02dff| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "Evaluates a bicubic spline at all the points on a rectangular ") + (text . "grid defined by \htbitmap{mx} points ") + (text . "\htbitmap{xq}on the x-axis and \htbitmap{my}") + (text . "points \htbitmap{yr} on the y-axis, from its B-spline ") + (text . "representation \center{\htbitmap{e02daf}} \newline with knot sets ") + (text . "\{\lambda\} and \{\mu\}. ") + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\newline Grid points on x-axis \htbitmap{mx}: ") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Grid points on y-axis \htbitmap{my}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 7 mx PI)) + (text . "\tab{34} ") + (bcStrings (6 6 my PI)) + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} ") + (text . "Number of (interior & exterior) knots \lambda, ") + (text . "\htbitmap{px} \htbitmap{great=} 8: \newline\tab{2} ") + (bcStrings (6 11 px PI)) + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} ") + (text . "Number of (interior & exterior) knots \mu, ") + (text . "\htbitmap{py} \htbitmap{great=} 8: \newline\tab{2} ") + (bcStrings (6 10 py 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", 'e02dffSolve) + htShowPage() + +e02dffSolve htPage == + mx := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'mx) + objValUnwrap htpLabelSpadValue(htPage, 'mx) + my := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'my) + objValUnwrap htpLabelSpadValue(htPage, 'my) + px := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'px) + objValUnwrap htpLabelSpadValue(htPage, 'px) + py := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'py) + objValUnwrap htpLabelSpadValue(htPage, 'py) + nwrk1 := 4*mx + px + nwrk2 := 4*my + py + nwrklist := [nwrk1,nwrk2] + nwrkmin := APPLY ('MIN, nwrklist) + lwrk := nwrkmin + liwrk := + nwrkmin = nwrk2 => my + py -4 + mx + px -4 + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + ((mx = '7 and my = '6) and (px = '11 and py = '10)) => + e02dffDefaultSolve(htPage,lwrk,liwrk,ifail) + xList := + "append"/[fx(i) for i in 1..mx] where fx(i) == + xnam := INTERN STRCONC ('"x",STRINGIMAGE i) + [['bcStrings,[8, 0.0, xnam, 'F]]] + yList := + "append"/[fy(i) for i in 1..my] where fy(i) == + ynam := INTERN STRCONC ('"y",STRINGIMAGE i) + [['bcStrings,[8, 0.0, ynam, 'F]]] + prefix := ('"\blankline \menuitemstyle{} \tab{2} Enter values of ") + prefix := STRCONC(prefix,"\htbitmap{yr} : \newline") + yList := [['text,:prefix],:yList] + lamList := + "append"/[flam(i) for i in 1..px] where flam(i) == + lnam := INTERN STRCONC ('"l",STRINGIMAGE i) + [['bcStrings,[8, 0.0, lnam, 'F]]] + prefix := ('"\blankline \menuitemstyle{}\tab{2} {\it \lambda(nxest)}:\newline") + lamList := [['text,:prefix],:lamList] + muList := + "append"/[fmu(i) for i in 1..(py)] where fmu(i) == + mnam := INTERN STRCONC ('"m",STRINGIMAGE i) + [['bcStrings,[8, 0.0, mnam, 'F]]] + prefix := ('"\blankline \menuitemstyle{} \tab{2} {\it mu(nyest)}:") + prefix := STRCONC(prefix,"\newline ") + muList := [['text,:prefix],:muList] + cList := + "append"/[fp(i) for i in 1..((px-4)*(py-4))] where fp(i) == + pnam := INTERN STRCONC ('"p",STRINGIMAGE i) + [['bcStrings,[8, 0.0, pnam, 'F]]] + prefix := ('"\blankline \menuitemstyle{}\tab{2} Enter values of ") + prefix := STRCONC(prefix,"{\it c((px-4)*(py-4))}: \newline") + cList := [['text,:prefix],:cList] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :xList,:yList,:lamList,:muList,:cList] + page := htInitPage('"E02DFF - Evaluation of a fitted bicubic spline at a mesh of points",nil) + htSay '"\menuitemstyle{}\tab{2} Values of \htbitmap{xr}:\newline " + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02dffGen) + htpSetProperty(page,'mx,mx) + htpSetProperty(page,'my,my) + htpSetProperty(page,'px,px) + htpSetProperty(page,'py,py) + htpSetProperty(page,'lwrk,lwrk) + htpSetProperty(page,'liwrk,liwrk) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02dffDefaultSolve (htPage,lwrk,liwrk,ifail) == + mx := '7 + my := '6 + px := '11 + py := '10 + page := htInitPage('"E02DFF - Evaluation of a fitted bicubic spline at a mesh of points",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2} Enter values of \htbitmap{xr}:") + (text . "\newline ") + (bcStrings (8 "1" x1 F)) + (bcStrings (8 "1.1" x2 F)) + (bcStrings (8 "1.3" x3 F)) + (bcStrings (8 "1.4" x4 F)) + (bcStrings (8 "1.5" x5 F)) + (bcStrings (8 "1.7" x6 F)) + (bcStrings (8 "2" x7 F)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2} Enter values of \htbitmap{yr}:") + (text . "\newline ") + (bcStrings (8 "0" y1 F)) + (bcStrings (8 "0.2" y2 F)) + (bcStrings (8 "0.4" y3 F)) + (bcStrings (8 "0.6" y4 F)) + (bcStrings (8 "0.8" y5 F)) + (bcStrings (8 "1" y6 F)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2} Enter values of {\it \lambda(nxest)}:") + (text . "\newline ") + (bcStrings (8 "1" l1 F)) + (bcStrings (8 "1" l2 F)) + (bcStrings (8 "1" l3 F)) + (bcStrings (8 "1" l4 F)) + (bcStrings (8 "1.3" l5 F)) + (bcStrings (8 "1.5" l6 F)) + (bcStrings (8 "1.6" l7 F)) + (bcStrings (8 "2" l8 F)) + (bcStrings (8 "2" l9 F)) + (bcStrings (8 "2" l10 F)) + (bcStrings (8 "2" l11 F)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2} Enter values of {\it \mu(nyest)}:") + (text . "\newline ") + (bcStrings (8 "0" mu1 F)) + (bcStrings (8 "0" mu2 F)) + (bcStrings (8 "0" mu3 F)) + (bcStrings (8 "0" mu4 F)) + (bcStrings (8 "0.4" mu5 F)) + (bcStrings (8 "0.7" mu6 F)) + (bcStrings (8 "1" mu7 F)) + (bcStrings (8 "1" mu8 F)) + (bcStrings (8 "1" mu9 F)) + (bcStrings (8 "1" mu10 F)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2} Enter values of {\it c((px-4)*(py-4))}:") + (text . "\newline ") + (bcStrings (8 "1" c1 F)) + (bcStrings (8 "1.1333" c2 F)) + (bcStrings (8 "1.3667" c3 F)) + (bcStrings (8 "1.7" c4 F)) + (bcStrings (8 "1.9" c5 F)) + (bcStrings (8 "2" c6 F)) + (bcStrings (8 "1.2" c7 F)) + (bcStrings (8 "1.3333" c8 F)) + (bcStrings (8 "1.5667" c9 F)) + (bcStrings (8 "1.9" c10 F)) + (bcStrings (8 "2.1" c11 F)) + (bcStrings (8 "2.2" c12 F)) + (bcStrings (8 "1.5833" c13 F)) + (bcStrings (8 "1.7167" c14 F)) + (bcStrings (8 "1.95" c15 F)) + (bcStrings (8 "2.2833" c16 F)) + (bcStrings (8 "2.4833" c17 F)) + (bcStrings (8 "2.5833" c18 F)) + (bcStrings (8 "2.1433" c19 F)) + (bcStrings (8 "2.2767" c20 F)) + (bcStrings (8 "2.51" c21 F)) + (bcStrings (8 "2.8433" c22 F)) + (bcStrings (8 "3.0433" c23 F)) + (bcStrings (8 "3.1433" c24 F)) + (bcStrings (8 "2.8667" c25 F)) + (bcStrings (8 "3" c26 F)) + (bcStrings (8 "3.2333" c27 F)) + (bcStrings (8 "3.5667" c28 F)) + (bcStrings (8 "3.7667" c29 F)) + (bcStrings (8 "3.8667" c30 F)) + (bcStrings (8 "3.4667" c31 F)) + (bcStrings (8 "3.6" c32 F)) + (bcStrings (8 "3.8333" c33 F)) + (bcStrings (8 "4.1667" c34 F)) + (bcStrings (8 "4.3667" c35 F)) + (bcStrings (8 "4.4667" c36 F)) + (bcStrings (8 "4" c37 F)) + (bcStrings (8 "4.1333" c38 F)) + (bcStrings (8 "4.3667" c39 F)) + (bcStrings (8 "4.7" c40 F)) + (bcStrings (8 "4.9" c41 F)) + (bcStrings (8 "5" c42 F)) + (text . "\blankline")) + htMakeDoneButton('"Continue",'e02dffGen) + htpSetProperty(page,'mx,mx) + htpSetProperty(page,'my,my) + htpSetProperty(page,'px,px) + htpSetProperty(page,'py,py) + htpSetProperty(page,'lwrk,lwrk) + htpSetProperty(page,'liwrk,liwrk) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02dffGen htPage == + mx := htpProperty(htPage,'mx) + my := htpProperty(htPage,'my) + px := htpProperty(htPage,'px) + py := htpProperty(htPage,'py) + lwrk := htpProperty(htPage,'lwrk) + liwrk := htpProperty(htPage,'liwrk) + ifail := htpProperty(htPage,'ifail) + alist := htpInputAreaAlist htPage + y := alist + -- c + for i in 1..((px-4)*(py-4)) repeat + right := STRCONC ((first y).1," ") + y := rest y + cList := [right,:cList] + cstring := bcwords2liststring cList + -- mu + for i in 1..py repeat + right := STRCONC ((first y).1," ") + y := rest y + muList := [right,:muList] + mustring := bcwords2liststring muList + -- lamda + for i in 1..px repeat + right := STRCONC ((first y).1," ") + y := rest y + lamList := [right,:lamList] + lamstring := bcwords2liststring lamList + -- y + for i in 1..my repeat + right := STRCONC ((first y).1," ") + y := rest y + yList := [right,:yList] + ystring := bcwords2liststring yList + -- x + for i in 1..mx repeat + right := STRCONC ((first y).1," ") + y := rest y + xList := [right,:xList] + xstring := bcwords2liststring xList + prefix := STRCONC('"e02dff(",STRINGIMAGE mx,", ",STRINGIMAGE my,", ") + prefix := STRCONC(prefix,STRINGIMAGE px,", ",STRINGIMAGE py,",[") + prefix := STRCONC(prefix,xstring,"],[",ystring,"],[",lamstring,"],[") + prefix := STRCONC(prefix,mustring,"],[",cstring,"],",STRINGIMAGE lwrk,", ") + prefix := STRCONC(prefix,STRINGIMAGE liwrk,", ",STRINGIMAGE ifail,")") + linkGen prefix + +e02gaf() == + htInitPage('"E02GAF - \htbitmap{l1}-approximation by general linear function",nil) + htMakePage '( + (domainConditions + (isDomain F (Float)) + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXe02gaf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|e02gaf| '|NagFittingPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "Calculates an \htbitmap{l1} solution to the over determined system") + (text . " of linear equations {\it Ax = b}, where A is an {\it m} by {\it n") + (text . "} matrix, {\it x} is an {\it n} element vector, and {\it b} is an ") + (text . "{\it m} element vector. The matrix {\it A} need not be of full ") + (text . "rank. \blankline ") + (text . "\menuitemstyle{}\tab{2} \newline ") + (text . "Number of rows of {\it A}, {\it m}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 5 m PI)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2} \newline ") + (text . "Number of columns of {\it A}, {\it n}: ") + (text . "\newline\tab{2} ") + (bcStrings (6 3 n PI)) +-- (text . "\blankline ") +-- (text . "\menuitemstyle{}\tab{2} \newline ") +-- (text . "First dimension of {\it A(la,n+2)}, {\it la}\htbitmap{great=}") +-- (text . " {\it m + 2}: \newline\tab{2} ") +-- (bcStrings (6 7 la PI)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2} \newline ") + (text . "Tolerance (default is zero), {\it toler}: ") + (text . "\newline\tab{2} ") + (bcStrings (10 "0.0" toler F)) + (text . "\blankline ") + (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", 'e02gafSolve) + htShowPage() + +e02gafSolve htPage == + m := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) + objValUnwrap htpLabelSpadValue(htPage, 'm) + n := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) + objValUnwrap htpLabelSpadValue(htPage, 'n) + la := m+2 +-- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'la) +-- objValUnwrap htpLabelSpadValue(htPage, 'la) + toler := htpLabelInputString(htPage,'toler) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => '1 + '-1 + ((m = 5 and n = 3) and la = 7) => e02gafDefaultSolve (htPage,toler,ifail) + labelList := + "append"/[fc(i,n) for i in 1..la] where fc(i,n) == + tempList := + "append"/[fr(i,j) for j in 1..(n+2)] where fr(i,j) == + fnam := INTERN STRCONC ('"f",STRINGIMAGE i, STRINGIMAGE j) + [['bcStrings,[9, 0.0, fnam, 'F]]] + prefix := ('"\newline ") + tempList := [['text,:prefix],:tempList] + bList := + "append"/[fb(i) for i in 1..m] where fb(i) == + lnam := INTERN STRCONC ('"l",STRINGIMAGE i) + [['bcStrings,[9, 0.0, lnam, 'F]]] + prefix := ('"\blankline \menuitemstyle{} \tab{2} Values of {\it B(m)}: \newline") + bList := [['text,:prefix],:bList] + equationPart := [ + '(domainConditions + (isDomain P (Polynomial $EmptyMode)) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain PI (PositiveInteger))), + :labelList,:bList] + page := htInitPage('"E02GAF - \htbitmap{l1}-approximation by general linear function",nil) + htSay '"\menuitemstyle{}\tab{2} Values of {\it A(la,n+2)}:" + htMakePage equationPart + htSay '"\blankline " + htMakeDoneButton('"Continue",'e02gafGen) + htpSetProperty(page,'m,m) + htpSetProperty(page,'n,n) + htpSetProperty(page,'la,la) + htpSetProperty(page,'toler,toler) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + + +e02gafDefaultSolve (htPage,toler,ifail) == + m := '5 + n := '3 + la := '7 + page := htInitPage('"E02GAF - \htbitmap{l1}-approximation by general linear function",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2} Values of {\it A(la,n+2)}:") + (text . "\newline ") + (bcStrings (9 "1.0" a11 F)) + (bcStrings (9 "1.0" a12 F)) + (bcStrings (9 "1.0" a13 F)) + (bcStrings (9 "0.0" a14 F)) + (bcStrings (9 "0.0" a15 F)) + (text . "\newline ") + (bcStrings (9 "exp(0.2)" a21 F)) + (bcStrings (9 "exp(-0.2)" a22 F)) + (bcStrings (9 "1.0" a23 F)) + (bcStrings (9 "0.0" a24 F)) + (bcStrings (9 "0.0" a25 F)) + (text . "\newline ") + (bcStrings (9 "exp(0.4)" a31 F)) + (bcStrings (9 "exp(-0.4)" a32 F)) + (bcStrings (9 "1.0" a33 F)) + (bcStrings (9 "0.0" a34 F)) + (bcStrings (9 "0.0" a35 F)) + (text . "\newline ") + (bcStrings (9 "exp(0.6)" a41 F)) + (bcStrings (9 "exp(-0.6)" a42 F)) + (bcStrings (9 "1.0" a43 F)) + (bcStrings (9 "0.0" a44 F)) + (bcStrings (9 "0.0" a45 F)) + (text . "\newline ") + (bcStrings (9 "exp(0.8)" a51 F)) + (bcStrings (9 "exp(-0.8)" a52 F)) + (bcStrings (9 "1.0" a53 F)) + (bcStrings (9 "0.0" a54 F)) + (bcStrings (9 "0.0" a55 F)) + (text . "\newline ") + (bcStrings (9 "0.0" a61 F)) + (bcStrings (9 "0.0" a62 F)) + (bcStrings (9 "0.0" a63 F)) + (bcStrings (9 "0.0" a64 F)) + (bcStrings (9 "0.0" a65 F)) + (text . "\newline ") + (bcStrings (9 "0.0" a71 F)) + (bcStrings (9 "0.0" a72 F)) + (bcStrings (9 "0.0" a73 F)) + (bcStrings (9 "0.0" a74 F)) + (bcStrings (9 "0.0" a75 F)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2} Values of {\it B(m)}:") + (text . "\newline ") + (bcStrings (9 "4.501" b1 F)) + (bcStrings (9 "4.36" b2 F)) + (bcStrings (9 "4.333" b3 F)) + (bcStrings (9 "4.418" b4 F)) + (bcStrings (9 "4.625" b5 F))) + htMakeDoneButton('"Continue",'e02gafGen) + htpSetProperty(page,'m,m) + htpSetProperty(page,'n,n) + htpSetProperty(page,'toler,toler) + htpSetProperty(page,'la,la) + htpSetProperty(page,'ifail,ifail) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +e02gafGen htPage == + m := htpProperty(htPage,'m) + n := htpProperty(htPage,'n) + la := htpProperty(htPage,'la) + toler := htpProperty(htPage,'toler) + ifail := htpProperty(htPage,'ifail) + nplustwo := n + 2 + alist := htpInputAreaAlist htPage + y := alist + for i in 1..m repeat + right := STRCONC ((first y).1," ") + y := rest y + blist := [right,:blist] + bstring := bcwords2liststring blist + y := REVERSE y + k := -1 + matform := [[y.(k := k + 1).1 for j in 0..(nplustwo-1)] for i in 0..(la-1)] + matstring := bcwords2liststring [bcwords2liststring x for x in matform] + prefix := STRCONC('"e02gaf(",STRINGIMAGE m,", ",STRINGIMAGE la,", ") + prefix := STRCONC(prefix,STRINGIMAGE nplustwo,", ",STRINGIMAGE toler,", ") + prefix := STRCONC(prefix,matstring,",[",bstring,"], ") + prefix := STRCONC(prefix,STRINGIMAGE ifail,")") + linkGen prefix + + +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 . "\tab{32}") + (bcStrings (8 "0.48" f8 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w8 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "0.3" x9 F)) + (text . "\tab{17}") + (bcStrings (8 "0.24" y9 F)) + (text . "\tab{32}") + (bcStrings (8 "0.65" f9 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w9 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.77" x10 F)) + (text . "\tab{17}") + (bcStrings (8 "-0.77" y10 F)) + (text . "\tab{32}") + (bcStrings (8 "-1.82" f10 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w10 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.23" x11 F)) + (text . "\tab{17}") + (bcStrings (8 "0.32" y11 F)) + (text . "\tab{32}") + (bcStrings (8 "0.92" f11 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w11 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-1" x12 F)) + (text . "\tab{17}") + (bcStrings (8 "1" y12 F)) + (text . "\tab{32}") + (bcStrings (8 "1" f12 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w12 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.26" x13 F)) + (text . "\tab{17}") + (bcStrings (8 "-0.63" y13 F)) + (text . "\tab{32}") + (bcStrings (8 "8.88" f13 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w13 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.83" x14 F)) + (text . "\tab{17}") + (bcStrings (8 "-0.66" y14 F)) + (text . "\tab{32}") + (bcStrings (8 "-2.01" f14 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w14 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "0.22" x15 F)) + (text . "\tab{17}") + (bcStrings (8 "0.93" y15 F)) + (text . "\tab{32}") + (bcStrings (8 "0.47" f15 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w15 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "0.89" x16 F)) + (text . "\tab{17}") + (bcStrings (8 "0.15" y16 F)) + (text . "\tab{32}") + (bcStrings (8 "0.49" f16 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w16 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.80" x17 F)) + (text . "\tab{17}") + (bcStrings (8 "0.99" y17 F)) + (text . "\tab{32}") + (bcStrings (8 "0.84" f17 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w17 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.88" x18 F)) + (text . "\tab{17}") + (bcStrings (8 "-0.54" y18 F)) + (text . "\tab{32}") + (bcStrings (8 "-2.42" f18 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w18 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "0.68" x19 F)) + (text . "\tab{17}") + (bcStrings (8 "0.44" y19 F)) + (text . "\tab{32}") + (bcStrings (8 "0.47" f19 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w19 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.14" x20 F)) + (text . "\tab{17}") + (bcStrings (8 "-0.72" y20 F)) + (text . "\tab{32}") + (bcStrings (8 "7.15" f20 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w20 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "0.67" x21 F)) + (text . "\tab{17}") + (bcStrings (8 "0.63" y21 F)) + (text . "\tab{32}") + (bcStrings (8 "0.44" f21 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w21 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.90" x22 F)) + (text . "\tab{17}") + (bcStrings (8 "-0.40" y22 F)) + (text . "\tab{32}") + (bcStrings (8 "-3.34" f22 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w22 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.84" x23 F)) + (text . "\tab{17}") + (bcStrings (8 "0.20" y23 F)) + (text . "\tab{32}") + (bcStrings (8 "2.78" f23 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w23 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "0.84" x24 F)) + (text . "\tab{17}") + (bcStrings (8 "0.43" y24 F)) + (text . "\tab{32}") + (bcStrings (8 "0.44" f24 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w24 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "0.15" x25 F)) + (text . "\tab{17}") + (bcStrings (8 "0.28" y25 F)) + (text . "\tab{32}") + (bcStrings (8 "0.70" f25 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w25 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.91" x26 F)) + (text . "\tab{17}") + (bcStrings (8 "-0.24" y26 F)) + (text . "\tab{32}") + (bcStrings (8 "-6.52" f26 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w26 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.35" x27 F)) + (text . "\tab{17}") + (bcStrings (8 "0.86" y27 F)) + (text . "\tab{32}") + (bcStrings (8 "0.66" f27 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w27 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.16" x28 F)) + (text . "\tab{17}") + (bcStrings (8 "-0.41" y28 F)) + (text . "\tab{32}") + (bcStrings (8 "2.32" f28 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w28 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-0.35" x29 F)) + (text . "\tab{17}") + (bcStrings (8 "-0.05" y29 F)) + (text . "\tab{32}") + (bcStrings (8 "1.66" f29 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w29 F)) + (text . "\newline \tab{2} ") + (bcStrings (8 "-1" x30 F)) + (text . "\tab{17}") + (bcStrings (8 "-1" y30 F)) + (text . "\tab{32}") + (bcStrings (8 "-1" f30 F)) + (text . "\tab{47}") + (bcStrings (8 "1" w30 F)) + (text . "\blankline ") + (text . "\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} |