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Diffstat (limited to 'src/interp/nag-d01.boot')
| -rw-r--r-- | src/interp/nag-d01.boot | 1342 |
1 files changed, 0 insertions, 1342 deletions
diff --git a/src/interp/nag-d01.boot b/src/interp/nag-d01.boot deleted file mode 100644 index 57a60063..00000000 --- a/src/interp/nag-d01.boot +++ /dev/null @@ -1,1342 +0,0 @@ --- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd. --- All rights reserved. --- Copyright (C) 2007, Gabriel Dos Reis. --- 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. - - -import '"macros" -)package "BOOT" - -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) |