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Diffstat (limited to 'src/interp/nag-c05.boot.pamphlet')
| -rw-r--r-- | src/interp/nag-c05.boot.pamphlet | 426 |
1 files changed, 0 insertions, 426 deletions
diff --git a/src/interp/nag-c05.boot.pamphlet b/src/interp/nag-c05.boot.pamphlet deleted file mode 100644 index 5e072489..00000000 --- a/src/interp/nag-c05.boot.pamphlet +++ /dev/null @@ -1,426 +0,0 @@ -\documentclass{article} -\usepackage{axiom} -\begin{document} -\title{\$SPAD/src/interp nag-c05.boot} -\author{The Axiom Team} -\maketitle -\begin{abstract} -\end{abstract} -\eject -\tableofcontents -\eject -\section{License} -<<license>>= --- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd. --- All rights reserved. --- --- Redistribution and use in source and binary forms, with or without --- modification, are permitted provided that the following conditions are --- met: --- --- - Redistributions of source code must retain the above copyright --- notice, this list of conditions and the following disclaimer. --- --- - Redistributions in binary form must reproduce the above copyright --- notice, this list of conditions and the following disclaimer in --- the documentation and/or other materials provided with the --- distribution. --- --- - Neither the name of The Numerical ALgorithms Group Ltd. nor the --- names of its contributors may be used to endorse or promote products --- derived from this software without specific prior written permission. --- --- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS --- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED --- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A --- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER --- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, --- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, --- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR --- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF --- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING --- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS --- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. - -@ -<<*>>= -<<license>> - -)package "BOOT" - -c05adf() == - htInitPage('"C05ADF - Zero of continuous function in given interval, Bus and Dekker algorithm",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain F (Float))) - (text . "\windowlink{Manual Page}{manpageXXc05adf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c05adf| '|NagRootFindingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "C05ADF locates a zero of a continuous function in a ") - (text . "interval by a combination of the methods of linear ") - (text . "interpolation, extrapolation and bisection. ") - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the function whose zero is to be determined ") - (text . "as a function of X, {\it f}: ") - (text . "\newline\tab{2} ") - (bcStrings (55 "exp(-X)-X" expression EM)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\newline Lower bound of the interval {\it a}:") - (text . "\tab{32} \menuitemstyle{}\tab{34}") - (text . "Upper bound {\it b}: ") - (text . "\newline\tab{2} ") - (bcStrings (10 "0.0" a F)) - (text . "\tab{34} ") - (bcStrings (10 "1.0" b F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\newline Absolute tolerance {\it eps}:") - (text . "\tab{32} \menuitemstyle{}\tab{34}") - (text . "Value tolerance {\it eta}:") - (text . "\newline\tab{2} ") - (bcStrings (10 "1.0e-5" eps F)) - (text . "\tab{34} ") - (bcStrings (10 "0.0" eta F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\newline Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c05adfGen) - htShowPage() - -c05adfGen htPage == - a := htpLabelInputString(htPage,'a) - b := htpLabelInputString(htPage,'b) - eps := htpLabelInputString(htPage,'eps) - eta := htpLabelInputString(htPage,'eta) - temp := READ_-FROM_-STRING(eps) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => 1 - -1 - temp1 := - temp > 0.0 => eps - '"1.0e-5" - expression := htpLabelInputString(htPage, 'expression) - prefix := STRCONC('"c05adf(",a,",",b,",",temp1,",",eta,",",STRINGIMAGE ifail) - linkGen STRCONC (prefix,",(",expression,")::ASP1(F))") - - -c05nbf() == - htInitPage('"C05NBF - Solution of system of nonlinear equations using function values only",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc05nbf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c05nbf| '|NagRootFindingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "C05NBF finds a solution of a system of nonlinear equations ") - (text . "by a modification of the Powell hybrid method. ") - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the number of equations in the system {\it n}:") - (text . "\newline\tab{2} ") - (bcStrings (5 9 n PI)) - (text . "\newline ") - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Accuracy required {\it xtol}:") - (text . "\newline\tab{2} ") - -- should be sqrt(machine precision) - (bcStrings (10 "1.0e-9" xtol F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c05nbfSolve) - htShowPage() - -c05nbfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - xtol := htpLabelInputString(htPage,'xtol) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - n = '9 => c05nbfDefaultSolve(htPage,ifail,xtol) - funcList := - "append"/[fa(i) for i in 1..n] where fa(i) == - prefix := ('"\newline {\em Function ") - prefix := STRCONC(prefix,STRINGIMAGE i,'":} \space{1}") - funct := STRCONC ('"X[",STRINGIMAGE i ,"] + 1") - nam := INTERN STRCONC ('"n",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[42, funct, nam, 'EM]]] - middle := ('"\blankline \menuitemstyle{}\tab{2} Enter initial guess ") - middle := STRCONC(middle,'"of the solution vector {\it x}: \newline ") - middle := cons('text,middle) - vecList := - [fb(i) for i in 1..n] where fb(i) == - xnam := INTERN STRCONC ('"x",STRINGIMAGE i) - ['bcStrings,[4, -1.0, xnam, 'F]] - funcList := [:funcList,middle,:vecList] - equationPart := [ - '(domainConditions - (isDomain EM $EmptyMode) - (isDomain F (Float)) - (isDomain I (Integer))), - :funcList] - page := htInitPage("C05NBF - Solution of system of nonlinear equations using function values only", htpPropertyList htPage) - htSay '"\menuitemstyle{}\tab{2} " - htSay '"Enter the functions \htbitmap{fi} below in terms of X[1]...X[n]: " - htSay '"\newline " - htMakePage equationPart - htMakeDoneButton('"Continue",'c05nbfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'xtol,xtol) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c05nbfDefaultSolve (htPage,ifail,xtol) == - n := '9 - page := htInitPage("C05NBF - Solution of system of nonlinear equations using function values only", nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain F (Float)) - (isDomain I (Integer))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the functions \htbitmap{fi} below in terms of X[1]...X[n]; ") - (text . " \newline ") - (text . "\newline {\em Function 1:} \space{1}") - (bcStrings (42 "3*X[1] - 2*X[1]**2 - 2*X[2] + 1" n1 EM)) - (text . "\newline {\em Function 2:} \space{1}") - (bcStrings (42 "-X[1] + 3*X[2] - 2*X[2]**2 - 2*X[3] + 1" n2 EM)) - (text . "\newline {\em Function 3:} \space{1}") - (bcStrings (42 "-X[2] + 3*X[3] - 2*X[3]**2 - 2*X[4] + 1" n3 EM)) - (text . "\newline {\em Function 4:} \space{1}") - (bcStrings (42 "-X[3] + 3*X[4] - 2*X[4]**2 - 2*X[5] + 1" n4 EM)) - (text . "\newline {\em Function 5:} \space{1}") - (bcStrings (42 "-X[4] + 3*X[5] - 2*X[5]**2 - 2*X[6] + 1" n5 EM)) - (text . "\newline {\em Function 6:} \space{1}") - (bcStrings (42 "-X[5] + 3*X[6] - 2*X[6]**2 - 2*X[7] + 1" n6 EM)) - (text . "\newline {\em Function 7:} \space{1}") - (bcStrings (42 "-X[6] + 3*X[7] - 2*X[7]**2 - 2*X[8] + 1" n7 EM)) - (text . "\newline {\em Function 8:} \space{1}") - (bcStrings (42 "-X[7] + 3*X[8] - 2*X[8]**2 - 2*X[9] + 1" n8 EM)) - (text . "\newline {\em Function 9:} \space{1}") - (bcStrings (42 "-X[8] + 3*X[9] - 2*X[9]**2 + 1" n9 EM)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter initial guess of the solution vector {\it x}: \newline ") - (bcStrings (4 "-1.0" x1 F)) - (bcStrings (4 "-1.0" x2 F)) - (bcStrings (4 "-1.0" x3 F)) - (bcStrings (4 "-1.0" x4 F)) - (bcStrings (4 "-1.0" x5 F)) - (bcStrings (4 "-1.0" x6 F)) - (bcStrings (4 "-1.0" x7 F)) - (bcStrings (4 "-1.0" x8 F)) - (bcStrings (4 "-1.0" x9 F))) - htMakeDoneButton('"Continue",'c05nbfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'xtol,xtol) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -c05nbfGen htPage == - n := htpProperty(htPage, 'n) - ifail := htpProperty(htPage,'ifail) - xtol := htpProperty(htPage,'xtol) - alist := htpInputAreaAlist htPage - y := alist - i := 1 - while y repeat - if i < (n+1) then - temp1 := STRCONC ((first y).1," ") - temp1list := [temp1,:temp1list] - else - temp2 := (first y).1 - temp2list := [temp2,:temp2list] - y := rest y - i := i + 1 - string1 := bcwords2liststring temp1list - string2 := bcwords2liststring temp2list - lwa := n*(3*n+13)/2 - prefix := STRCONC ("c05nbf(",STRINGIMAGE n,",",STRINGIMAGE lwa,",[",string1,"],") - middle := STRCONC (xtol,",",STRINGIMAGE ifail,",") - linkGen STRCONC (prefix,middle,"(",string2,"::Vector Expression(Float))::ASP6(FCN))") - -c05pbf() == - htInitPage('"C05PBF - Solution of system of nonlinear equations using first derivatives",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc05pbf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c05pbf| '|NagRootFindingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "C05PBF finds a solution of a system of nonlinear equations ") - (text . "by a modification of the Powell hybrid method. ") - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the number of equations in the system {\it n}:") - (text . "\newline\tab{2} ") - (bcStrings (5 9 n PI)) - (text . "\newline ") - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Accuracy required {\it xtol}:") - (text . "\newline\tab{2} ") - -- should be sqrt(machine precision) - (bcStrings (10 "1.0e-9" xtol F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c05pbfSolve) - htShowPage() - -c05pbfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - xtol := htpLabelInputString(htPage,'xtol) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - n = '9 => c05pbfDefaultSolve(htPage,ifail,xtol) - funcList := - "append"/[fa(i) for i in 1..n] where fa(i) == - prefix := ('"\newline {\em Function ") - prefix := STRCONC(prefix,STRINGIMAGE i,'":} \space{1}") - funct := STRCONC ('"X[",STRINGIMAGE i ,"] + 1") - nam := INTERN STRCONC ('"n",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[42, funct, nam, 'EM]]] - middle := ('"\blankline \menuitemstyle{}\tab{2} Enter initial guess ") - middle := STRCONC(middle,'"of the solution vector {\it x}: \newline ") - middle := cons('text,middle) - vecList := - [fb(i) for i in 1..n] where fb(i) == - xnam := INTERN STRCONC ('"x",STRINGIMAGE i) - ['bcStrings,[4, -1.0, xnam, 'F]] - funcList := [:funcList,middle,:vecList] - equationPart := [ - '(domainConditions - (isDomain EM $EmptyMode) - (isDomain F (Float)) - (isDomain I (Integer))), - :funcList] - page := htInitPage('"C05PBF - Solution of system of nonlinear equations using first derivatives",htpPropertyList htPage) - htSay '"\menuitemstyle{}\tab{2} " - htSay '"Enter the functions \htbitmap{fi} below in terms of X[1]...X[n]: " - htSay '"\newline " - htMakePage equationPart - htMakeDoneButton('"Continue",'c05pbfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'xtol,xtol) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c05pbfDefaultSolve (htPage,ifail,xtol) == - n := '9 - page := htInitPage('"C05PBF - Solution of system of nonlinear equations using first derivatives",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain F (Float)) - (isDomain I (Integer))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the functions \htbitmap{fi} below in terms of X[1]...X[n]: ") - (text . "\newline ") - (text . "\newline {\em Function 1:} \space{1}") - (bcStrings (42 "3*X[1] - 2*X[1]**2 - 2*X[2] + 1" n1 EM)) - (text . "\newline {\em Function 2:} \space{1}") - (bcStrings (42 "-X[1] + 3*X[2] - 2*X[2]**2 - 2*X[3] + 1" n2 EM)) - (text . "\newline {\em Function 3:} \space{1}") - (bcStrings (42 "-X[2] + 3*X[3] - 2*X[3]**2 - 2*X[4] + 1" n3 EM)) - (text . "\newline {\em Function 4:} \space{1}") - (bcStrings (42 "-X[3] + 3*X[4] - 2*X[4]**2 - 2*X[5] + 1" n4 EM)) - (text . "\newline {\em Function 5:} \space{1}") - (bcStrings (42 "-X[4] + 3*X[5] - 2*X[5]**2 - 2*X[6] + 1" n5 EM)) - (text . "\newline {\em Function 6:} \space{1}") - (bcStrings (42 "-X[5] + 3*X[6] - 2*X[6]**2 - 2*X[7] + 1" n6 EM)) - (text . "\newline {\em Function 7:} \space{1}") - (bcStrings (42 "-X[6] + 3*X[7] - 2*X[7]**2 - 2*X[8] + 1" n7 EM)) - (text . "\newline {\em Function 8:} \space{1}") - (bcStrings (42 "-X[7] + 3*X[8] - 2*X[8]**2 - 2*X[9] + 1" n8 EM)) - (text . "\newline {\em Function 9:} \space{1}") - (bcStrings (42 "-X[8] + 3*X[9] - 2*X[9]**2 + 1" n9 EM)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter initial guess of the solution vector {\it x}: \newline ") - (bcStrings (4 "-1.0" x1 F)) - (bcStrings (4 "-1.0" x2 F)) - (bcStrings (4 "-1.0" x3 F)) - (bcStrings (4 "-1.0" x4 F)) - (bcStrings (4 "-1.0" x5 F)) - (bcStrings (4 "-1.0" x6 F)) - (bcStrings (4 "-1.0" x7 F)) - (bcStrings (4 "-1.0" x8 F)) - (bcStrings (4 "-1.0" x9 F))) - htMakeDoneButton('"Continue",'c05pbfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'xtol,xtol) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -c05pbfGen htPage == - n := htpProperty(htPage, 'n) - ifail := htpProperty(htPage,'ifail) - xtol := htpProperty(htPage,'xtol) - alist := htpInputAreaAlist htPage - y := alist - i := 1 - while y repeat - if i < (n+1) then - temp1 := STRCONC ((first y).1," ") - temp1list := [temp1,:temp1list] - else - temp2 := (first y).1 - temp2list := [temp2,:temp2list] - y := rest y - i := i + 1 - string1 := bcwords2liststring temp1list - string2 := bcwords2liststring temp2list - lwa := n*(n+13)/2 - prefix := STRCONC("c05pbf(",STRINGIMAGE n,",",STRINGIMAGE n) - middle := STRCONC(",",STRINGIMAGE lwa,",[",string1,"],") - middle := STRCONC (middle,xtol,",",STRINGIMAGE ifail,",") - linkGen STRCONC (prefix,middle,"(",string2,"::Vector Expression(Float))::ASP35(FCN))") - -@ -\eject -\begin{thebibliography}{99} -\bibitem{1} nothing -\end{thebibliography} -\end{document} |