From 0850ca5458cb09b2d04cec162558500e9a05cf4a Mon Sep 17 00:00:00 2001 From: dos-reis Date: Thu, 20 Sep 2007 14:50:49 +0000 Subject: Revert commits to the wrong tree. --- src/interp/nag-e02.boot | 4671 ----------------------------------------------- 1 file changed, 4671 deletions(-) delete mode 100644 src/interp/nag-e02.boot (limited to 'src/interp/nag-e02.boot') diff --git a/src/interp/nag-e02.boot b/src/interp/nag-e02.boot deleted file mode 100644 index 8c661a60..00000000 --- a/src/interp/nag-e02.boot +++ /dev/null @@ -1,4671 +0,0 @@ --- 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. - - -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 - - - -- cgit v1.2.3