\documentclass{article} \usepackage{axiom} \begin{document} \title{\$SPAD/src/interp nag-d01.boot} \author{The Axiom Team} \maketitle \begin{abstract} \end{abstract} \eject \tableofcontents \eject \section{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. @ <<*>>= <> d01ajf() == htInitPage('"D01AJF - 1-D quadrature, adaptive, finite interval, allowing for badly-behaved integrands", nil) htMakePage '( (domainConditions (isDomain EM $EmptyMode) (isDomain PI (PositiveInteger)) (isDomain F (Float))) (text . "\windowlink{Manual Page}{manpageXXd01ajf} for this routine ") (text . "\newline ") (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|d01ajf| '|NagIntegrationPackage|)} for this routine") (text . "\newline \horizontalline ") (text . "Evaluates the integral ") (text . "\inputbitmap{\htbmdir{}/integral.bitmap} f(x) dx ") (text . "using an adaptive method. ") (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Enter the {\em function} f to be integrated in terms of X: ") (text . "\newline \tab{2} ") (bcStrings (55 "X*sin(30*X)/(sqrt(1-(X/(2*\%pi))**2))" expression EM)) (text . "\blankline ") (text . "\newline \menuitemstyle{}\tab{2} ") (text . "\newline {\em Lower} bound of the interval: ") (text . "\tab{32} \menuitemstyle{}\tab{34} ") (text . "{\em Upper} bound:") (text . "\newline\tab{2} ") (bcStrings (20 "0.0" a F)) (text . "\tab{34} ") (bcStrings (20 "\%pi*2" b EM)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "\newline Absolute accuracy required:") (text . "\tab{32} \menuitemstyle{}\tab{34}") (text . "Relative accuracy:") (text . "\newline\tab{2} ") (bcStrings (10 "0.0" epsabs F)) (text . "\tab{34} ") (bcStrings (10 "1.0e-4" epsrel F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Dimension of workspace array: ") (text . "\newline\tab{2} ") (bcStrings (10 800 lw PI)) (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", 'd01ajfGen) htShowPage() d01ajfGen htPage == lw := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lw) objValUnwrap htpLabelSpadValue(htPage, 'lw) a := htpLabelInputString(htPage,'a) b := htpLabelInputString(htPage,'b) epsabs := htpLabelInputString(htPage,'epsabs) epsrel := htpLabelInputString(htPage,'epsrel) error := htpButtonValue(htPage,'ifail) ifail := error = 'one => 1 -1 express := htpLabelInputString(htPage,'expression) liw := lw/4 prefix := STRCONC("d01ajf(",a," ,",b," ,",epsabs," ,",epsrel," ,",STRINGIMAGE lw) middle := STRCONC(" ,",STRINGIMAGE liw," ,",STRINGIMAGE ifail," ,") end := STRCONC("(",express,"::Expression Float) :: ASP1(F))") linkGen STRCONC(prefix,middle,end) d01akf() == htInitPage('"D01AKF - 1-D quadrature, adaptive, finite interval, method suitable for oscillating functions", nil) htMakePage '( (domainConditions (isDomain EM $EmptyMode) (isDomain PI (PositiveInteger)) (isDomain F (Float))) (text . "\windowlink{Manual Page}{manpageXXd01akf} for this routine ") (text . "\newline ") (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|d01akf| '|NagIntegrationPackage|)} for this routine") (text . "\newline \horizontalline ") (text . "Computes \space{1} \inputbitmap{\htbmdir{}/integral.bitmap} ") (text . "f(x) dx using an adaptive method, ") (text . "especially suited to oscillating, non-singular integrands. ") (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Enter the {\em function} f to be integrated in terms of X: ") (text . "\newline \tab{2} ") (bcStrings (55 "X*sin(30*X)*cos(X)" expression EM)) (text . "\blankline ") (text . "\newline \menuitemstyle{}\tab{2} ") (text . "\newline {\em Lower} bound of the interval: ") (text . "\tab{32} \menuitemstyle{}\tab{34} ") (text . "{\em Upper} bound:") (text . "\newline\tab{2} ") (bcStrings (20 "0.0" a F)) (text . "\tab{34} ") (bcStrings (20 "\%pi*2" b EM)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "\newline Absolute accuracy required:") (text . "\tab{32} \menuitemstyle{}\tab{34}") (text . "Relative accuracy:") (text . "\newline\tab{2} ") (bcStrings (10 "0.0" epsabs F)) (text . "\tab{34} ") (bcStrings (10 "1.0e-4" epsrel F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Dimension of workspace array: ") (text . "\newline\tab{2} ") (bcStrings (10 800 lw PI)) (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", 'd01akfGen) htShowPage() d01akfGen htPage == lw := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lw) objValUnwrap htpLabelSpadValue(htPage, 'lw) a := htpLabelInputString(htPage,'a) b := htpLabelInputString(htPage,'b) epsabs := htpLabelInputString(htPage,'epsabs) epsrel := htpLabelInputString(htPage,'epsrel) error := htpButtonValue(htPage,'ifail) ifail := error = 'one => 1 -1 express := htpLabelInputString(htPage,'expression) liw := lw/4 prefix := STRCONC("d01akf(",a," ,",b," ,",epsabs," ,",epsrel," ,",STRINGIMAGE lw) middle := STRCONC(" ,",STRINGIMAGE liw," ,",STRINGIMAGE ifail," ,") end := STRCONC("(",express,"::Expression Float) :: ASP1(F))") linkGen STRCONC(prefix,middle,end) d01alf() == htInitPage('"D01ALF - 1-D quadrature, adaptive, finite interval, allowing for singularities at user-specified break-points ", nil) htMakePage '( (domainConditions (isDomain EM $EmptyMode) (isDomain PI (PositiveInteger)) (isDomain F (Float))) (text . "\windowlink{Manual Page}{manpageXXd01alf} for this routine ") (text . "\newline ") (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|d01alf| '|NagIntegrationPackage|)} for this routine") (text . "\newline \horizontalline ") (text . "Evaluates the integral \space{1} ") (text . "\inputbitmap{\htbmdir{}/integral.bitmap} f(x) dx; ") (text . "the integrand may have local singular behaviour at a ") (text . "finite number of points within [a,b]. ") (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Enter the {\em function} f to be integrated in terms of X: ") (text . "\newline \tab{2} ") (bcStrings (55 "1/sqrt(abs(X-1/7))" expression EM)) (text . "\blankline ") (text . "\newline \menuitemstyle{}\tab{2} ") (text . "\newline {\em Lower} bound of the interval: ") (text . "\tab{32} \menuitemstyle{}\tab{34} ") (text . "{\em Upper} bound:") (text . "\newline\tab{2} ") (bcStrings (20 "0.0" a F)) (text . "\tab{34} ") (bcStrings (20 "1.0" b EM)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "\newline Number of user supplied break-points: \tab{38}") (bcStrings (10 "1" npts PI)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "\newline User supplied break-points (separated by commas): ") (text . "\newline \tab{2} ") (bcStrings (40 "1/7" points EM)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "\newline Absolute accuracy required:") (text . "\tab{32} \menuitemstyle{}\tab{34}") (text . "Relative accuracy:") (text . "\newline\tab{2} ") (bcStrings (10 "0.0" epsabs F)) (text . "\tab{34} ") (bcStrings (10 "1.0e-4" epsrel F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Dimension of workspace array: ") (text . "\newline\tab{2} ") (bcStrings (10 800 lw PI)) (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", 'd01alfGen) htShowPage() d01alfGen htPage == lw := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lw) objValUnwrap htpLabelSpadValue(htPage, 'lw) a := htpLabelInputString(htPage,'a) b := htpLabelInputString(htPage,'b) npts := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'npts) objValUnwrap htpLabelSpadValue(htPage, 'npts) points := htpLabelInputString(htPage, 'points) points := STRCONC ('"[[",points,"]]") epsabs := htpLabelInputString(htPage,'epsabs) epsrel := htpLabelInputString(htPage,'epsrel) error := htpButtonValue(htPage,'ifail) ifail := error = 'one => 1 -1 express := htpLabelInputString(htPage,'expression) liw := lw/2 prefix := STRCONC('"d01alf(",a," ,",b," ,",STRINGIMAGE npts,",",points,",") prefix := STRCONC(prefix,epsabs," ,",epsrel," ,",STRINGIMAGE lw) middle := STRCONC('" ,",STRINGIMAGE liw," ,",STRINGIMAGE ifail," ,") end := STRCONC('"(",express,"::Expression Float) :: ASP1(F))") linkGen STRCONC(prefix,middle,end) d01amf() == htInitPage('"D01AMF 1-D quadrature, adaptive, infinite or semi-infinite interval",nil) htMakePage '( (domainConditions (isDomain EM $EmptyMode) (isDomain PI (PositiveInteger)) (isDomain F (Float))) (text . "\windowlink{Manual Page}{manpageXXd01amf} for this routine ") (text . "\newline ") (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|d01amf| '|NagIntegrationPackage|)} for this routine") (text . "\newline \horizontalline ") (text . "\newline ") (text . "Evaluates the integral \space{1} ") (text . "\inputbitmap{\htbmdir{}/integral.bitmap} f(x) dx, ") (text . "where (a,b) can be an infinite or semi-infinite interval.") (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Enter the {\em function} f to be integrated in terms of X: ") (text . "\newline \tab{2} ") (bcStrings (55 "1/((X+1)*sqrt(X))" expression EM)) (text . "\blankline ") (text . "\newline \menuitemstyle{}\tab{2} ") (text . "\newline {\em Bound} the finite limit of the integration range: ") (text . "\newline\tab{2} ") (bcStrings (10 "0.0" a F)) (text . "\blankline ") (text . "\newline \menuitemstyle{}\tab{2} ") (text . "\newline Choose the kind of integration range: ") (radioButtons inf (" 1" "\tab{2} Range is [Bound, +infinity] " plus) ("-1" "\tab{2} Range is [-infinity, Bound] " minus) ("2" "\tab{2} Range is [-infinity, +infinity] (Bound is not used) " minusPlus)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "\newline Absolute accuracy required:") (text . "\tab{32} \menuitemstyle{}\tab{34}") (text . "Relative accuracy:") (text . "\newline\tab{2} ") (bcStrings (10 "0.0" epsabs F)) (text . "\tab{34} ") (bcStrings (10 "1.0e-4" epsrel F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Dimension of workspace array: ") (text . "\newline\tab{2} ") (bcStrings (10 800 lw PI)) (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", 'd01amfGen) htShowPage() d01amfGen htPage == lw := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lw) objValUnwrap htpLabelSpadValue(htPage, 'lw) a := htpLabelInputString(htPage,'a) b := htpLabelInputString(htPage,'b) infinity := htpButtonValue(htPage,'inf) inf := infinity = 'plus => 1 infinity = 'minus => -1 2 epsabs := htpLabelInputString(htPage,'epsabs) epsrel := htpLabelInputString(htPage,'epsrel) error := htpButtonValue(htPage,'ifail) ifail := error = 'one => 1 -1 express := htpLabelInputString(htPage,'expression) liw := lw/4 prefix := STRCONC('"d01amf(",a," ,",STRINGIMAGE inf," ,") prefix := STRCONC(prefix,epsabs," ,",epsrel," ,",STRINGIMAGE lw) middle := STRCONC('" ,",STRINGIMAGE liw," ,",STRINGIMAGE ifail," ,") end := STRCONC('"(",express,"::Expression Float) :: ASP1(F))") linkGen STRCONC(prefix,middle,end) d01anf() == htInitPage('"D01ANF - 1-D quadrature, adaptive, finite interval, weight function cos(\omega x) or sin(\omega x)", nil) htMakePage '( (domainConditions (isDomain EM $EmptyMode) (isDomain PI (PositiveInteger)) (isDomain F (Float))) (text . "\windowlink{Manual Page}{manpageXXd01anf} for this routine ") (text . "\newline ") (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|d01anf| '|NagIntegrationPackage|)} for this routine") (text . "\newline \horizontalline ") (text . "Evaluates \inputbitmap{\htbmdir{}/integral.bitmap} g(x)sin(\omega x) dx ") (text . "or \inputbitmap{\htbmdir{}/integral.bitmap} g(x)cos(\omega x) dx, ") (text . "the sine and cosine transform respectively. ") (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Enter the {\em function} f to be integrated in terms of X: ") (text . "\newline \tab{2} ") (bcStrings (55 "log(X)" expression EM)) (text . "\blankline ") (text . "\newline \menuitemstyle{}\tab{2} ") (text . "\newline {\em Lower} bound of the interval: ") (text . "\tab{32} \menuitemstyle{}\tab{34} ") (text . "{\em Upper} bound:") (text . "\newline\tab{2} ") (bcStrings (20 "1.0e-6" a F)) (text . "\tab{34} ") (bcStrings (20 "1.0" b EM)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "\newline Absolute accuracy required:") (text . "\tab{32} \menuitemstyle{}\tab{34}") (text . "Relative accuracy:") (text . "\newline\tab{2} ") (bcStrings (10 "0.0" epsabs F)) (text . "\tab{34} ") (bcStrings (10 "1.0e-4" epsrel F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Dimension of workspace: ") (text . "\tab{32} \menuitemstyle{}\tab{34}") (text . "\omega the weight function:") (text . "\newline\tab{2} ") (bcStrings (10 800 lw PI)) (text . "\tab{34} ") (bcStrings (20 "10*\%pi" omega F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Key value, indicates which integral is to be computed:") (radioButtons key ("" " sin" sin) ("" " cos" cos)) (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", 'd01anfGen) htShowPage() d01anfGen htPage == lw := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lw) objValUnwrap htpLabelSpadValue(htPage, 'lw) a := htpLabelInputString(htPage,'a) b := htpLabelInputString(htPage,'b) epsabs := htpLabelInputString(htPage,'epsabs) epsrel := htpLabelInputString(htPage,'epsrel) omega := htpLabelInputString(htPage,'omega) type := htpButtonValue(htPage,'key) key := type = 'cos => 1 2 error := htpButtonValue(htPage,'ifail) ifail := error = 'one => 1 -1 express := htpLabelInputString(htPage,'expression) liw := lw/4 prefix := STRCONC("d01anf(",a," ,",b," ,",omega," ,",STRINGIMAGE key," ,",epsabs," ,",epsrel," ,",STRINGIMAGE lw) middle := STRCONC(" ,",STRINGIMAGE liw," ,",STRINGIMAGE ifail," ,") end := STRCONC("(",express,"::Expression Float) :: ASP1(G))") linkGen STRCONC(prefix,middle,end) d01apf() == htInitPage('"D01APF - 1-D quadrature, adaptive, finite interval, weight function with end point singularities of algebraico-logarithmic type", nil) htMakePage '( (domainConditions (isDomain EM $EmptyMode) (isDomain PI (PositiveInteger)) (isDomain F (Float))) (text . "\windowlink{Manual Page}{manpageXXd01apf} for this routine ") (text . "\newline ") (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|d01apf| '|NagIntegrationPackage|)} for this routine") (text . "\newline \horizontalline ") (text . "Evaluates \inputbitmap{\htbmdir{}/integral.bitmap} g(x)w(x) dx, where w(x) ") (text . "has end-point singularities of algebraico-logarithmic type. ") (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Enter the {\em function} g(x) in terms of X: ") (text . "\newline \tab{2} ") (bcStrings (55 "sin(10*X)" expression EM)) (text . "\blankline ") (text . "\newline \menuitemstyle{}\tab{2} ") (text . "\newline {\em Lower} bound of the interval: ") (text . "\tab{32} \menuitemstyle{}\tab{34} ") (text . "{\em Upper} bound:") (text . "\newline\tab{2} ") (bcStrings (20 "1.0e-6" a F)) (text . "\tab{34} ") (bcStrings (20 "1.0" b EM)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "\newline \alpha in the weight function:") (text . "\tab{32} \menuitemstyle{}\tab{34}") (text . "\beta in the weight function:") (text . "\newline\tab{2} ") (bcStrings (10 "-0.5" alpha F)) (text . "\tab{34} ") (bcStrings (10 "-0.5" beta F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "\newline Absolute accuracy required:") (text . "\tab{32} \menuitemstyle{}\tab{34}") (text . "Relative accuracy:") (text . "\newline\tab{2} ") (bcStrings (10 "0.0" epsabs F)) (text . "\tab{34} ") (bcStrings (10 "1.0e-4" epsrel F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Dimension of workspace: ") (text . "\newline\tab{2} ") (bcStrings (10 800 lw PI)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Key value, indicates which weight function is to be used: ") (radioButtons key ("" "\space{1}w(x) = (x-a)**\alpha\space{1}* (b-x)**\beta" kone) ("" "\space{1}w(x) = (x-a)**\alpha\space{1}* (b-x)**\beta * ln(x-a)" ktwo) ("" "\space{1}w(x) = (x-a)**\alpha\space{1}* (b-x)**\beta * ln(b-x)" kthree) ("" "\space{1}w(x) = (x-a)**\alpha\space{1}* (b-x)**\beta * ln(x-a) * ln(b-x) " kfour)) (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", 'd01apfGen) htShowPage() d01apfGen htPage == express := htpLabelInputString(htPage,'expression) lw := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lw) objValUnwrap htpLabelSpadValue(htPage, 'lw) a := htpLabelInputString(htPage,'a) b := htpLabelInputString(htPage,'b) alpha := htpLabelInputString(htPage,'alpha) beta := htpLabelInputString(htPage,'beta) epsabs := htpLabelInputString(htPage,'epsabs) epsrel := htpLabelInputString(htPage,'epsrel) type := htpButtonValue(htPage,'key) key := type = 'kone => 1 type = 'ktwo => 2 type = 'kthree => 3 4 error := htpButtonValue(htPage,'ifail) ifail := error = 'one => 1 -1 liw := lw/4 prefix := STRCONC("d01apf(",a," ,",b," ,",alpha," ,",beta," ,") prefix := STRCONC(prefix,STRINGIMAGE key," ,",epsabs," ,",epsrel," ,") prefix := STRCONC(prefix,STRINGIMAGE lw," ,",STRINGIMAGE liw," ,") end := STRCONC("(",express,"::Expression Float) :: ASP1(G))") linkGen STRCONC(prefix,STRINGIMAGE ifail," ,",end) d01aqf() == htInitPage('"D01AQF - 1-D quadrature, adaptive, finite interval, weight function 1/(x-c), Cauchy principal value (Hilbert transform)",nil) htMakePage '( (domainConditions (isDomain EM $EmptyMode) (isDomain PI (PositiveInteger)) (isDomain F (Float))) (text . "\windowlink{Manual Page}{manpageXXd01aqf} for this routine ") (text . "\newline ") (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|d01aqf| '|NagIntegrationPackage|)} for this routine") (text . "\newline \horizontalline ") (text . "Evaluates the Hilbert transform \inputbitmap{\htbmdir{}/integral.bitmap}") (text . "g(x)/(x-c) dx.") (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Enter the function {\it g(x)} in terms of X: ") (text . "\newline \tab{2} ") (bcStrings (55 "(X**2+0.01**2)**-1" expression EM)) (text . "\blankline ") (text . "\newline \menuitemstyle{}\tab{2} ") (text . "\newline {\em Lower} bound of the interval {\it a}: ") (text . "\tab{32} \menuitemstyle{}\tab{34} ") (text . "{\em Upper} bound {\it b}:") (text . "\newline\tab{2} ") (bcStrings (20 "-1.0" a F)) (text . "\tab{34} ") (bcStrings (20 "1.0" b F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} \newline ") (text . "Parameter {\it c} \notequal {\it a} or {\it b}: ") (text . "\newline \tab{2} ") (bcStrings (10 "0.5" c F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "\newline Absolute accuracy required:") (text . "\tab{32} \menuitemstyle{}\tab{34}") (text . "Relative accuracy:") (text . "\newline\tab{2} ") (bcStrings (10 "0.0" epsabs F)) (text . "\tab{34} ") (bcStrings (10 "1.0e-4" epsrel F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Dimension of workspace: ") (text . "\newline\tab{2} ") (bcStrings (10 800 lw PI)) (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", 'd01aqfGen) htShowPage() d01aqfGen htPage == express := htpLabelInputString(htPage,'expression) lw := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lw) objValUnwrap htpLabelSpadValue(htPage, 'lw) a := htpLabelInputString(htPage,'a) b := htpLabelInputString(htPage,'b) c := htpLabelInputString(htPage,'c) epsabs := htpLabelInputString(htPage,'epsabs) epsrel := htpLabelInputString(htPage,'epsrel) error := htpButtonValue(htPage,'ifail) ifail := error = 'one => 1 -1 liw := lw/4 prefix := STRCONC("d01aqf(",a," ,",b," ,",c," ,",epsabs," ,",epsrel," ,") prefix := STRCONC(prefix,STRINGIMAGE lw," ,",STRINGIMAGE liw," ,") end := STRCONC("((",express,")::Expression Float) :: ASP1(G))") linkGen STRCONC(prefix,STRINGIMAGE ifail," ,",end) d01asf() == htInitPage('"D01ASF - 1-D quadrature, adaptive, semi-infinite interval, weight function cos(\omega x) or sin(\omega x)", nil) htMakePage '( (domainConditions (isDomain EM $EmptyMode) (isDomain PI (PositiveInteger)) (isDomain F (Float))) (text . "\windowlink{Manual Page}{manpageXXd01asf} for this routine ") (text . "\newline ") (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|d01asf| '|NagIntegrationPackage|)} for this routine") (text . "\newline \horizontalline ") (text . "Evaluates \inputbitmap{\htbmdir{}/si-integral.bitmap} ") (text . "g(x)sin(\omega x) dx ") (text . "or \inputbitmap{\htbmdir{}/si-integral.bitmap} ") (text . "g(x)cos(\omega x) dx, ") (text . "the sine and cosine transform respectively. ") (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Enter the function {\it g(x)} in terms of X: ") (text . "\newline \tab{2} ") (bcStrings (45 "1/sqrt(X)" expression EM)) (text . "\blankline ") (text . "\newline \menuitemstyle{}\tab{2} ") (text . "\newline {\em Lower} bound of the interval: ") (text . "\newline \tab{2} ") (bcStrings (10 "1.0e-12" a F)) (text . "\blankline ") (text . "\newline \menuitemstyle{}\tab{2} ") (text . "Parameter \omega in the weight function of the transform: ") (text . "\newline \tab{2} ") (bcStrings (10 "\%pi/2" omega F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "\newline Absolute accuracy required:") (text . "\newline\tab{2} ") (bcStrings (10 "1.0e-3" epsabs F)) (text . "\newline \menuitemstyle{}\tab{2}") (text . "Dimension of workspace array: ") (text . "\newline\tab{2} ") (bcStrings (10 800 lw PI)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "{\it LIMLST} upper bound on number of intervals:") (text . "\newline\tab{2} ") (bcStrings (10 50 limlst PI)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Key value, indicates which integral is to be computed:") (radioButtons key ("" " cos(\omega x)" cos) ("" " sin(\omega x)" sin)) (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", 'd01asfGen) htShowPage() d01asfGen htPage == lw := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lw) objValUnwrap htpLabelSpadValue(htPage, 'lw) limlst := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'limlst) objValUnwrap htpLabelSpadValue(htPage, 'limlst) a := htpLabelInputString(htPage,'a) epsabs := htpLabelInputString(htPage,'epsabs) omega := htpLabelInputString(htPage,'omega) type := htpButtonValue(htPage,'key) key := type = 'cos => 1 2 error := htpButtonValue(htPage,'ifail) ifail := error = 'one => 1 -1 express := htpLabelInputString(htPage,'expression) liw := lw/2 prefix := STRCONC("d01asf(",a," ,",omega," ,",STRINGIMAGE key," ,",epsabs) prefix := STRCONC(prefix," ,",STRINGIMAGE limlst," ,",STRINGIMAGE lw) middle := STRCONC(" ,",STRINGIMAGE liw," ,",STRINGIMAGE ifail," ,") end := STRCONC("(",express,"::Expression Float) :: ASP1(G))") linkGen STRCONC(prefix,middle,end) d01gaf() == htInitPage('"D01GAF - \space{1} 1-D quadrature, integration of function defined by data values, Gill-Miller method", nil) htMakePage '( (domainConditions (isDomain PI (PositiveInteger))) (text . "\windowlink{Manual Page}{manpageXXd01gaf} for this routine ") (text . "\newline ") (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|d01gaf| '|NagIntegrationPackage|)} for this routine") (text . "\newline \horizontalline ") (text . "Evaluates the integral ") (text . "\inputbitmap{\htbmdir{}/d01gaf1.bitmap} y(x)dx ") (text . "where the numerical value of the function {\em y} is ") (text . "specified at the n distinct points \vspace{-26} ") (text . "\inputbitmap{\htbmdir{}/d01gaf2.bitmap} ") (text . "\blankline ") (text . "Enter the number of points:") (text . "\newline\tab{2} ") (bcStrings (5 21 n PI)) (text . "\blankline ") (text . "\newline Ifail value:") (radioButtons ifail ("" " -1, Print error messages" minusOne) ("" " 1, Suppress error messages" one))) htMakeDoneButton('"Continue", 'd01gafSolve) htShowPage() d01gafSolve htPage == n := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) objValUnwrap htpLabelSpadValue(htPage, 'n) error := htpButtonValue(htPage,'ifail) ifail := error = 'one => '1 '-1 n = '21 => d01gafDefaultSolve(htPage,ifail) labelList := "append"/[f(i) for i in 1..n] where f(i) == prefix := ('"\newline \tab{2} ") post := ('"\tab{40} ") xnam := INTERN STRCONC ('"x",STRINGIMAGE i) ynam := INTERN STRCONC ('"y",STRINGIMAGE i) [['text,:prefix],['bcStrings,[10, 0.0, xnam, 'F]], ['text,:post],['bcStrings,[10, 0.0, ynam, 'F]]] equationPart := [ '(domainConditions (isDomain P (Polynomial $EmptyMode)) (isDomain S (String)) (isDomain F (Float)) (isDomain PI (PositiveInteger))), :labelList] page := htInitPage("D01GAF - 1-D quadrature, integration of function defined by data values", htpPropertyList htPage) htSay '"\menuitemstyle{}\tab{2} Enter values for {\em x}: \tab{38} " htSay '"\menuitemstyle{}\tab{40} Enter values for {\em y}: " htMakePage equationPart htSay '"\blankline " htSay '"Note:\space{1}{\em x} values in ascending or descending order only " htMakeDoneButton('"Continue",'d01gafGen) htpSetProperty(page,'n,n) htpSetProperty(page,'ifail,ifail) htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) htShowPage() d01gafDefaultSolve (htPage, ifail) == n := '21 page := htInitPage('"D01GAF - 1-D quadrature, integration of function defined by data values",htpPropertyList htPage) htMakePage '( (domainConditions (isDomain F (Float))) (text . "\newline ") (text . "\menuitemstyle{}\tab{2} Enter values for {\em x}: \tab{38} ") (text . "\menuitemstyle{}\tab{40} Enter values for {\em y}: ") (text . "\newline \tab{2}") (bcStrings (10 "0.00" x1 F)) (text . "\tab{40} ") (bcStrings (10 "4.0000" y1 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.04" x2 F)) (text . "\tab{40} ") (bcStrings (10 "3.9936" y2 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.08" x3 F)) (text . "\tab{40} ") (bcStrings (10 "3.9746" y3 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.12" x4 F)) (text . "\tab{40} ") (bcStrings (10 "3.9432" y4 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.22" x5 F)) (text . "\tab{40} ") (bcStrings (10 "3.8153" y5 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.26" x6 F)) (text . "\tab{40} ") (bcStrings (10 "3.7467" y6 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.30" x7 F)) (text . "\tab{40} ") (bcStrings (10 "3.6697" y7 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.38" x8 F)) (text . "\tab{40} ") (bcStrings (10 "3.4943" y8 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.39" x9 F)) (text . "\tab{40} ") (bcStrings (10 "3.4719" y9 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.42" x10 F)) (text . "\tab{40} ") (bcStrings (10 "3.4002" y10 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.45" x11 F)) (text . "\tab{40} ") (bcStrings (10 "3.3264" y11 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.46" x12 F)) (text . "\tab{40} ") (bcStrings (10 "3.3014" y12 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.60" x13 F)) (text . "\tab{40} ") (bcStrings (10 "2.9412" y13 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.68" x14 F)) (text . "\tab{40} ") (bcStrings (10 "2.7352" y14 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.72" x15 F)) (text . "\tab{40} ") (bcStrings (10 "2.6344" y15 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.73" x16 F)) (text . "\tab{40} ") (bcStrings (10 "2.6094" y16 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.83" x17 F)) (text . "\tab{40} ") (bcStrings (10 "2.3684" y17 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.85" x18 F)) (text . "\tab{40} ") (bcStrings (10 "2.3222" y18 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.88" x19 F)) (text . "\tab{40} ") (bcStrings (10 "2.2543" y19 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.90" x20 F)) (text . "\tab{40} ") (bcStrings (10 "2.2099" y20 F)) (text . "\newline \tab{2} ") (bcStrings (10 "1.00" x21 F)) (text . "\tab{40} ") (bcStrings (10 "2.0000" y21 F)) (text . "\newline \tab{2} ") (text . "\blankline ") (text . "Note:\space{1}{\em x} values in ascending or descending order only ") (text . "\blankline")) htMakeDoneButton('"Continue",'d01gafGen) htpSetProperty(page,'n,n) htpSetProperty(page,'ifail,ifail) htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) htShowPage() d01gafGen htPage == n := htpProperty(htPage,'n) ifail := htpProperty(htPage,'ifail) alist := htpInputAreaAlist htPage y := alist while y repeat right := STRCONC ((first y).1," ") y := rest y left := STRCONC ((first y).1," ") y := rest y reallist := [left,:reallist] imaglist := [right,:imaglist] realstring := bcwords2liststring reallist imagstring := bcwords2liststring imaglist linkGen STRCONC ('"d01gaf([",realstring,"],[",imagstring,"],",STRINGIMAGE n,",", STRINGIMAGE ifail,")") d01fcf() == htInitPage('"D01FCF - Multi-dimensional adaptive quadrature over hyper-rectangle",nil) htMakePage '( (domainConditions (isDomain EM $EmptyMode) (isDomain PI (PositiveInteger)) (isDomain F (Float))) (text . "\windowlink{Manual Page}{manpageXXd01fcf} for this routine ") (text . "\newline ") (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|d01fcf| '|NagIntegrationPackage|)} for this routine") (text . "\newline \horizontalline ") (text . "Evaluates the multi-dimensional integral ") (text . "\center{\htbitmap{d01fcf}}") (text . "with constant finite limits, using an adaptive subdivision ") (text . "strategy.") (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Number of dimensions n in the integral, 2 \htbitmap{less=} ") (text . "{\it NDIM} \htbitmap{less=} 15: ") (text . "\newline\tab{2} ") (bcStrings (6 4 ndim F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Enter the integrand {\it f} in terms of X[1]...X[n]: ") (text . "\newline ") (bcStrings (58 "4.0*X[1]*X[3]*X[3]*exp(2.0*X[1]*X[3])/((1.0+X[2]+X[4])**2)" expression EM)) (text . "\blankline ") (text . "\newline \menuitemstyle{}\tab{2} ") (text . "\newline Minimum number of evaluations: ") (text . "\tab{32} \menuitemstyle{}\tab{34} ") (text . "Maximum number of evaluations: ") (text . "\newline\tab{2} ") (bcStrings (10 1000 minpts PI)) (text . "\tab{34} ") (bcStrings (10 5700 maxpts PI)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Relative accuracy required:") (text . "\newline\tab{2} ") (bcStrings (10 "0.0001" eps F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Dimension of workspace array: ") (text . "\newline\tab{2} ") (bcStrings (10 606 lenwrk PI)) (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", 'd01fcfSolve) htShowPage() d01fcfSolve htPage == ndim := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ndim) objValUnwrap htpLabelSpadValue(htPage, 'ndim) expression := htpLabelInputString(htPage,'expression) minpts := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'minpts) objValUnwrap htpLabelSpadValue(htPage, 'minpts) maxpts := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'maxpts) objValUnwrap htpLabelSpadValue(htPage, 'maxpts) eps := htpLabelInputString(htPage,'eps) lenwrk := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lenwrk) objValUnwrap htpLabelSpadValue(htPage, 'lenwrk) error := htpButtonValue(htPage,'ifail) ifail := error = 'one => '1 '-1 ndim = '4 => d01fcfDefaultSolve(htPage,minpts,maxpts,eps,lenwrk,expression,ifail) labelList := "append"/[f(i) for i in 1..ndim] where f(i) == prefix := ('"\newline \tab{2} ") post := ('"\tab{32} ") rnam := INTERN STRCONC ('"a",STRINGIMAGE i) inam := INTERN STRCONC ('"b",STRINGIMAGE i) [['text,:prefix],['bcStrings,[10, 0.0, rnam, 'P]], ['text,:post],['bcStrings,[10, 1.0, inam, 'P]]] equationPart := [ '(domainConditions (isDomain P (Polynomial $EmptyMode)) (isDomain S (String)) (isDomain PI (PositiveInteger))), :labelList] page := htInitPage('"D01FCF - Multi-dimensional adaptive quadrature over hyper-rectangle",nil) htSay '"Please enter the limits of integration:- " htSay '"\blankline " htSay '"\menuitemstyle{}\tab{2} Lower limits: \tab{30} " htSay '"\menuitemstyle{}\tab{32} Upper limits: " htMakePage equationPart htMakeDoneButton('"Continue",'d01fcfGen) htpSetProperty(page,'ndim,ndim) htpSetProperty(page,'expression,expression) htpSetProperty(page,'minpts,minpts) htpSetProperty(page,'maxpts,maxpts) htpSetProperty(page,'eps,eps) htpSetProperty(page,'lenwrk,lenwrk) htpSetProperty(page,'ifail,ifail) htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) htShowPage() d01fcfDefaultSolve(htPage,minpts,maxpts,eps,lenwrk,expression,ifail) == ndim := '4 page := htInitPage('"D01FCF - Multi-dimensional adaptive quadrature over hyper-rectangle",nil) htMakePage '( (domainConditions (isDomain F (Float))) (text . "\newline ") (text . "Please enter the limits of integration:- ") (text . "\blankline ") (text . "\newline \menuitemstyle{} \tab{2} ") (text . "Lower limits: \tab{30} ") (text . "\menuitemstyle{} \tab{32} Upper limits: ") (text . "\newline \tab{2} ") (bcStrings (10 "0.0" a1 F)) (text . "\tab{32} ") (bcStrings (10 "1.0" b1 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.0" a2 F)) (text . "\tab{32} ") (bcStrings (10 "1.0" b2 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.0" a3 F)) (text . "\tab{32} ") (bcStrings (10 "1.0" b3 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.0" a4 F)) (text . "\tab{32} ") (bcStrings (10 "1.0" b4 F)) (text . "\newline ") (text . "\blankline")) htMakeDoneButton('"Continue",'d01fcfGen) htpSetProperty(page,'ndim,ndim) htpSetProperty(page,'expression,expression) htpSetProperty(page,'minpts,minpts) htpSetProperty(page,'maxpts,maxpts) htpSetProperty(page,'eps,eps) htpSetProperty(page,'lenwrk,lenwrk) htpSetProperty(page,'ifail,ifail) htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) htShowPage() d01fcfGen htPage == ndim := htpProperty(htPage,'ndim) minpts := htpProperty(htPage,'minpts) maxpts := htpProperty(htPage,'maxpts) eps := htpProperty(htPage,'eps) lenwrk := htpProperty(htPage,'lenwrk) expression := htpProperty(htPage,'expression) ifail := htpProperty(htPage,'ifail) alist := htpInputAreaAlist htPage y := alist while y repeat right := (first y).1 y := rest y left := (first y).1 y := rest y reallist := [left,:reallist] imaglist := [right,:imaglist] astring := bcwords2liststring reallist bstring := bcwords2liststring imaglist prefix := STRCONC("d01fcf(",STRINGIMAGE ndim,", [",astring,"],[",bstring,"], ") middle := STRCONC(STRINGIMAGE maxpts,", ",eps," ,",STRINGIMAGE lenwrk," ,") middle := STRCONC(middle,STRINGIMAGE minpts," ,",STRINGIMAGE ifail," ,") end := STRCONC("(",expression,"::Expression Float) :: ASP4(FUNCTN))") linkGen STRCONC(prefix,middle,end) d01gbf() == htInitPage('"D01GBF - Multi-dimensional quadrature over hyper-rectangle, Monte Carlo method",nil) htMakePage '( (domainConditions (isDomain EM $EmptyMode) (isDomain PI (PositiveInteger)) (isDomain F (Float))) (text . "\windowlink{Manual Page}{manpageXXd01gbf} for this routine ") (text . "\newline ") (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|d01gbf| '|NagIntegrationPackage|)} for this routine") (text . "\newline \horizontalline ") (text . "Evaluates the multidimensional integral ") (text . "\center{\htbitmap{d01fcf}} with constant finite limits, ") (text . "using an adaptive Monte-Carlo method;") (text . " the routine is suitable for low accuracy work. ") (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Number of dimensions n in the integral, {\it NDIM}:") (text . "\newline\tab{2} ") (bcStrings (6 4 ndim F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Enter the integrand {\it f} in terms of X[1]...X[n]: ") (text . "\newline ") (bcStrings (60 "4.0*X[1]*X[3]*X[3]*exp(2.0*X[1]*X[3])/((1.0+X[2]+X[4])**2)" expression EM)) (text . "\blankline ") (text . "\newline \menuitemstyle{}\tab{2} ") (text . "\newline Minimum number of FUNCTN calls: ") (text . "\tab{32} \menuitemstyle{}\tab{34} ") (text . "Maximum number of FUNCTN calls: ") (text . "\newline\tab{2} ") (bcStrings (10 1000 mincls PI)) (text . "\tab{34} ") (bcStrings (10 20000 maxcls PI)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Relative accuracy required:") (text . "\newline\tab{2} ") (bcStrings (10 "0.01" eps F)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "Dimension of workspace array: ") (text . "\newline\tab{2} ") (bcStrings (10 500 lenwrk PI)) (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", 'd01gbfSolve) htShowPage() d01gbfSolve htPage == ndim := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ndim) objValUnwrap htpLabelSpadValue(htPage, 'ndim) expression := htpLabelInputString(htPage,'expression) mincls := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'mincls) objValUnwrap htpLabelSpadValue(htPage, 'mincls) maxcls := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'maxcls) objValUnwrap htpLabelSpadValue(htPage, 'maxcls) eps := htpLabelInputString(htPage,'eps) lenwrk := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lenwrk) objValUnwrap htpLabelSpadValue(htPage, 'lenwrk) error := htpButtonValue(htPage,'ifail) ifail := error = 'one => '1 '-1 ndim = '4 => d01gbfDefaultSolve(htPage,mincls,maxcls,eps,lenwrk,expression,ifail) labelList := "append"/[f(i) for i in 1..ndim] where f(i) == prefix := ('"\newline \tab{2} ") post := ('"\tab{32} ") rnam := INTERN STRCONC ('"a",STRINGIMAGE i) inam := INTERN STRCONC ('"b",STRINGIMAGE i) [['text,:prefix],['bcStrings,[10, 0.0, rnam, 'P]], ['text,:post],['bcStrings,[10, 1.0, inam, 'P]]] equationPart := [ '(domainConditions (isDomain P (Polynomial $EmptyMode)) (isDomain S (String)) (isDomain PI (PositiveInteger))), :labelList] page := htInitPage('"D01GBF - Multi-dimensional quadrature over hyper-rectangle, Monte Carlo method",nil) htSay '"Please enter the limits of integration:- " htSay '"\blankline " htSay '"\menuitemstyle{}\tab{2} Lower limits: \tab{30} " htSay '"\menuitemstyle{}\tab{32} Upper limits: " htMakePage equationPart htMakeDoneButton('"Continue",'d01gbfGen) htpSetProperty(page,'ndim,ndim) htpSetProperty(page,'expression,expression) htpSetProperty(page,'mincls,mincls) htpSetProperty(page,'maxcls,maxcls) htpSetProperty(page,'eps,eps) htpSetProperty(page,'lenwrk,lenwrk) htpSetProperty(page,'ifail,ifail) htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) htShowPage() d01gbfDefaultSolve(htPage,mincls,maxcls,eps,lenwrk,expression,ifail) == ndim := '4 page := htInitPage('"D01GBF - Multi-dimensional quadrature over hyper-rectangle, Monte Carlo method",nil) htMakePage '( (domainConditions (isDomain F (Float))) (text . "\newline ") (text . "Please enter the limits of integration:- ") (text . "\blankline ") (text . "\newline \menuitemstyle{} \tab{2} ") (text . "Lower limits: \tab{30} ") (text . "\menuitemstyle{} \tab{32} Upper limits: ") (text . "\newline \tab{2} ") (bcStrings (10 "0.0" a1 F)) (text . "\tab{32} ") (bcStrings (10 "1.0" b1 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.0" a2 F)) (text . "\tab{32} ") (bcStrings (10 "1.0" b2 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.0" a3 F)) (text . "\tab{32} ") (bcStrings (10 "1.0" b3 F)) (text . "\newline \tab{2} ") (bcStrings (10 "0.0" a4 F)) (text . "\tab{32} ") (bcStrings (10 "1.0" b4 F)) (text . "\newline ") (text . "\blankline")) htMakeDoneButton('"Continue",'d01gbfGen) htpSetProperty(page,'ndim,ndim) htpSetProperty(page,'expression,expression) htpSetProperty(page,'mincls,mincls) htpSetProperty(page,'maxcls,maxcls) htpSetProperty(page,'eps,eps) htpSetProperty(page,'lenwrk,lenwrk) htpSetProperty(page,'ifail,ifail) htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) htShowPage() d01gbfGen htPage == ndim := htpProperty(htPage,'ndim) mincls := htpProperty(htPage,'mincls) maxcls := htpProperty(htPage,'maxcls) eps := htpProperty(htPage,'eps) lenwrk := htpProperty(htPage,'lenwrk) expression := htpProperty(htPage,'expression) ifail := htpProperty(htPage,'ifail) alist := htpInputAreaAlist htPage y := alist while y repeat right := (first y).1 y := rest y left := (first y).1 y := rest y reallist := [left,:reallist] imaglist := [right,:imaglist] astring := bcwords2liststring reallist bstring := bcwords2liststring imaglist prefix := STRCONC("d01gbf(",STRINGIMAGE ndim,", [",astring,"],[",bstring,"], ") middle := STRCONC(STRINGIMAGE maxcls,", ",eps," ,",STRINGIMAGE lenwrk," ,") middle := STRCONC(middle,STRINGIMAGE mincls," ,[[0.0 for i in 1..") middle := STRCONC(middle,STRINGIMAGE lenwrk,"]],",STRINGIMAGE ifail," ,") end := STRCONC("(",expression,"::Expression Float) :: ASP4(FUNCTN))") linkGen STRCONC(prefix,middle,end) d01bbf() == htInitPage('"D01BBF - Weights and abscissae for Gaussian quadrature rules",nil) htMakePage '( (domainConditions (isDomain EM $EmptyMode) (isDomain PI (PositiveInteger)) (isDomain F (Float))) (text . "\windowlink{Manual Page}{manpageXXd01bbf} for this routine ") (text . "\newline ") (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|d01bbf| '|NagIntegrationPackage|)} for this routine") (text . "\newline \horizontalline ") (text . "Returns the weights and abscissae appropriate to a Gaussian ") (text . "quadrature formula with a specified number of abscissae. ") (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Enter the D01XXX subroutine: ") (radioButtons gtype ("" " D01BAZ" gZero) ("" " D01BAY" gOne) ("" " D01BAX" gTwo) ("" " D01BAW" gThree)) (text . "\blankline ") (text . "\newline \menuitemstyle{}\tab{2} ") (text . "\newline {\em Lower} bound of the interval: ") (text . "\tab{32} \menuitemstyle{}\tab{34} ") (text . "{\em Upper} bound:") (text . "\newline\tab{2} ") (bcStrings (20 "0.0" a F)) (text . "\tab{34} ") (bcStrings (20 "1.0" b EM)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2} ") (text . "Type of weights for Gauss-Laguerre or Gauss-Hermite quadrature:") (radioButtons itype ("" " adjusted weights" iOne) ("" " normal weights" iZero)) (text . "\blankline ") (text . "\newline ") (text . "\menuitemstyle{}\tab{2}") (text . "\newline Number of weights & abscissae to be used {\em n}:") (text . "\newline\tab{2} ") (bcStrings (10 "6" n PI)) (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", 'd01bbfGen) htShowPage() d01bbfGen htPage == sub := htpButtonValue(htPage,'gtype) gtype := sub = 'gZero => 0 sub = 'gOne => 1 sub = 'gTwo => 2 3 a := htpLabelInputString(htPage,'a) b := htpLabelInputString(htPage,'b) n := $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) objValUnwrap htpLabelSpadValue(htPage, 'n) wgts := htpButtonValue(htPage,'itype) itype := wgts = 'iOne => 1 0 error := htpButtonValue(htPage,'ifail) ifail := error = 'one => 1 -1 prefix := STRCONC("d01bbf(",a," ,",b," ,",STRINGIMAGE itype," ,") end := STRCONC(STRINGIMAGE n," ,",STRINGIMAGE gtype," ,",STRINGIMAGE ifail,")") linkGen STRCONC(prefix,end) @ \eject \begin{thebibliography}{99} \bibitem{1} nothing \end{thebibliography} \end{document}