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Diffstat (limited to 'src/interp/nag-s.boot.pamphlet')
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diff --git a/src/interp/nag-s.boot.pamphlet b/src/interp/nag-s.boot.pamphlet new file mode 100644 index 00000000..1e2d0486 --- /dev/null +++ b/src/interp/nag-s.boot.pamphlet @@ -0,0 +1,1604 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/interp nag-s.boot} +\author{The Axiom Team} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{License} +<<license>>= +-- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd. +-- All rights reserved. +-- +-- Redistribution and use in source and binary forms, with or without +-- modification, are permitted provided that the following conditions are +-- met: +-- +-- - Redistributions of source code must retain the above copyright +-- notice, this list of conditions and the following disclaimer. +-- +-- - Redistributions in binary form must reproduce the above copyright +-- notice, this list of conditions and the following disclaimer in +-- the documentation and/or other materials provided with the +-- distribution. +-- +-- - Neither the name of The Numerical ALgorithms Group Ltd. nor the +-- names of its contributors may be used to endorse or promote products +-- derived from this software without specific prior written permission. +-- +-- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS +-- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +-- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A +-- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER +-- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, +-- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +-- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR +-- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF +-- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING +-- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +-- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +@ +<<*>>= +<<license>> + +s01eaf() == + page := htInitPage("S01EAF - Complex exponential {\em exp(z)} ",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs01eaf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s01eaf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\newline ") + (text . "Evaluates the exponential function, exp(z), for complex z. ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Real part of {\it z}:") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Imaginary part of {\it z}:") + (text . "\newline \tab{2} ") + (bcStrings (10 "-0.5" x F)) + (text . "\tab{34} ") + (bcStrings (10 "2.0" y F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 's01eafGen) + htShowPage() + +s01eafGen htPage == + x := htpLabelInputString(htPage,'x) + y := htpLabelInputString(htPage,'y) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + linkGen STRCONC('"s01eaf(complex(",x,",",y,"),",STRINGIMAGE ifail,")") + + + +s13aaf() == + page := htInitPage("S13AAF - Exponential integral \htbitmap{s13aaf2}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs13aaf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s13aaf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the exponential integral \vspace{-32} ") + (text . "\htbitmap{s13aaf1} ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x > 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "2.0" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s13aaf") + htShowPage() + +s13acf() == + page := htInitPage("S13ACF - Cosine integral {\em Ci(x)} ",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs13acf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s13acf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the cosine integral \space{1} ") + (text . "\htbitmap{s13acf} ") + (text . ", where \gamma denotes Euler's constant. ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x > 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.2" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s13acf") + htShowPage() + +s13adf() == + page := htInitPage("S13ADF - Sine integral Si(x) ",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs13adf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s13adf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the sine integral \space{1} \vspace{-32} ") + (text . "\inputbitmap{\htbmdir{}/s13adf.bitmap} \vspace{-37}. ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.2" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s13adf") + htShowPage() + +s14aaf() == + page := htInitPage("S14AAF - Gamma Function \Gamma(x) ",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs14aaf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s14aaf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the gamma function, {\em Gamma(x)}. ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x > 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "1.25" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s14aaf") + htShowPage() + +s14abf() == + page := htInitPage("S14ABF - Log Gamma Function \Gamma(x) ",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs14abf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s14abf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the logarithm of the gamma function, ") + (text . "{\em ln Gamma(x)}. ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x > 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "1.25" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s14abf") + htShowPage() + +s14baf() == + htInitPage("S14BAF - Incomplete Gamma Functions P(a,x) & Q(a,x)",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs14baf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s14baf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the incomplete gamma functions, \space{1} ") + (text . "\vspace{-32} \inputbitmap{\htbmdir{}/s14baf.bitmap} \vspace{-37}, ") + (text . "which are normalised such that P(a,x) + Q(a,x) = 1. ") + (text . "\blankline ") + (text . "\newline ") + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} ") + (text . "Enter the value of {\em a}: > 0.0") + (text . "\tab{32} \menuitemstyle{}\tab{34} ") + (text . "Enter the value of {\em x}: >= 0.0 ") + (text . "\newline\tab{2} ") + (bcStrings (10 "2.0" a F)) + (text . "\tab{34} ") + (bcStrings (10 "3.0" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the tolerance:") + (text . "\newline\tab{2} ") + (bcStrings (30 "1.1102230246251600E-16" tol F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 's14bafGen) + htShowPage() + +s14bafGen htPage == + a := htpLabelInputString(htPage,'a) + x := htpLabelInputString(htPage,'x) + tol := htpLabelInputString(htPage,'tol) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + linkGen STRCONC('"s14baf(",a,",",x,",",tol,",",STRINGIMAGE ifail,")") + +s15adf() == + page := htInitPage("S15ADF - Complement of error function erfc x",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs15adf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s15adf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the complementary gamma functions, erfc x = ") + (text . "\space{1} \vspace{-32} \inputbitmap{\htbmdir{}/s15adf.bitmap} ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "-10.0" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s15adf") + htShowPage() + +s15aef() == + page := htInitPage("S15AEF - Error Function erf x", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs15aef} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s15aef| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the error function, erf x = \space{1} ") + (text . "\vspace{-32} \inputbitmap{\htbmdir{}/s15aef.bitmap} ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "-6.0" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s15aef") + htShowPage() + +s17acf() == + page := htInitPage("S17ACF - Bessel Function \space{1} \htbitmap{s17acf}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs17acf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s17acf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the Bessel function \space{1} \htbitmap{s17acf}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x > 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.5" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s17acf") + htShowPage() + +s17adf() == + page := htInitPage("S17ADF - Bessel Function \space{1} \htbitmap{s17adf}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs17adf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s17adf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the Bessel function \space{1} \htbitmap{s17adf}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x > 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.5" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s17adf") + htShowPage() + +s17aef() == + page := htInitPage("S17AEF - Bessel Function \space{1} \htbitmap{s17aef}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs17aef} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s17aef| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the Bessel function \space{1}") + (text . "\htbitmap{s17aef}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x > 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.5" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s17aef") + htShowPage() + +s17aff() == + page := htInitPage("S17AFF - Bessel Function \space{1} \htbitmap{s17aff}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs17aff} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s17aff| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the Bessel function \space{1} \htbitmap{s17aff}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.5" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s17aff") + htShowPage() + +s17agf() == + page := htInitPage("S17AGF - Airy Function {\em Ai(x)}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs17agf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s17agf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the Airy function {\em Ai(x)} ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "-10.0" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s17agf") + htShowPage() + +s17ahf() == + page := htInitPage("S17AHF - Airy Function {\em Bi(x)}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs17ahf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s17ahf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the Airy function {\em Bi(x)} ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "-10.0" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s17ahf") + htShowPage() + +s17ajf() == + page := htInitPage("S17AJF - Airy Function {\em Ai'(x)}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs17ajf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s17ajf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates {\em Ai'(x)}, ") + (text . "the derivative of the Airy function Ai(x) ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "-10.0" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s17ajf") + htShowPage() + +s17akf() == + page := htInitPage("S17AKF - Airy Function {\em Bi'(x)}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs17akf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s17akf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates {\em Bi'(x)}, ") + (text . "the derivative of the Airy function Bi(x) ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "-10.0" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s17akf") + htShowPage() + +s17dcf() == + htInitPage('"S17DCF - Bessel function \htbitmap{s17dcf}, real a \space{1} \htbitmap{great=} 0, complex z, v = 0,1,2,...",nil) + htMakePage '( + (domainConditions + (isDomain F (Float)) + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXs17dcf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s17dcf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\newline ") + (text . "Returns a sequence of values for the Bessel functions ") + (text . "\htbitmap{s17dcf}, for complex z, non-negative v ") + (text . "and n = 0,1,...,N-1, with an option for exponential scaling.") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Order v of the first member of the sequence of functions ") + (text . "{\it FNU} \htbitmap{great=} 0:") + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" fnu F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Real part of {\it z}:") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Imaginary part of {\it z}:") + (text . "\newline \tab{2} ") + (bcStrings (10 "0.3" x F)) + (text . "\tab{34} ") + (bcStrings (10 "0.4" y F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Number of members required in sequence {\it N} ") + (text . "\htbitmap{great=} 1:") + (text . "\newline \tab{2} ") + (bcStrings (10 2 n PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Scaling option: ") + (radioButtons scale + ("" " Unscaled" u) + ("" " Scaled" s)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Ifail value: ") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 's17dcfGen) + htShowPage() + + +s17dcfGen htPage == + n := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) + objValUnwrap htpLabelSpadValue(htPage, 'n) + fnu := htpLabelInputString(htPage,'fnu) + x := htpLabelInputString(htPage,'x) + y := htpLabelInputString(htPage,'y) + uors := htpButtonValue(htPage,'scale) + scale := + uors = 'u => '"u" + '"s" + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + prefix := STRCONC('"s17dcf(",fnu,",complex(",x,",",y,"),",STRINGIMAGE n) + prefix := STRCONC(prefix,",_"",scale,"_", ",STRINGIMAGE ifail,")") + linkGen prefix + +s17def() == + htInitPage('"S17DEF - Bessel function \htbitmap{s17def}, real a \space{1} \htbitmap{great=} 0, complex z, v = 0,1,2,...",nil) + htMakePage '( + (domainConditions + (isDomain F (Float)) + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXs17def} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s17def| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\newline ") + (text . "Returns a sequence of values for the Bessel functions ") + (text . "\htbitmap{s17def}, for complex z, non-negative v ") + (text . "and n = 0,1,...,N-1, with an option for exponential scaling.") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Order v of the first member of the sequence of functions ") + (text . "{\it FNU} \htbitmap{great=} 0:") + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" fnu F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Real part of {\it z}:") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Imaginary part of {\it z}:") + (text . "\newline \tab{2} ") + (bcStrings (10 "0.3" x F)) + (text . "\tab{34} ") + (bcStrings (10 "0.4" y F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Number of members required in sequence {\it N} ") + (text . "\htbitmap{great=} 1:") + (text . "\newline \tab{2} ") + (bcStrings (10 2 n PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Scaling option: ") + (radioButtons scale + ("" " Unscaled" u) + ("" " Scaled" s)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Ifail value: ") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 's17defGen) + htShowPage() + + +s17defGen htPage == + n := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) + objValUnwrap htpLabelSpadValue(htPage, 'n) + fnu := htpLabelInputString(htPage,'fnu) + x := htpLabelInputString(htPage,'x) + y := htpLabelInputString(htPage,'y) + uors := htpButtonValue(htPage,'scale) + scale := + uors = 'u => '"u" + '"s" + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + prefix := STRCONC('"s17def(",fnu,",complex(",x,",",y,"),",STRINGIMAGE n) + prefix := STRCONC(prefix,",_"",scale,"_", ",STRINGIMAGE ifail,")") + linkGen prefix + + +s17dgf() == + htInitPage('"S17DGF - Airy functions {\em Ai(z)} and {\em Ai'(z)} ",nil) + htMakePage '( + (domainConditions + (isDomain F (Float)) + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXs17dgf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s17dgf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\newline ") + (text . "Evaluates the Airy function Ai(z) or its derivative Ai'(z), ") + (text . "for complex z, with an option for exponential scaling. ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Real part of {\it z}:") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Imaginary part of {\it z}:") + (text . "\newline \tab{2} ") + (bcStrings (10 "0.3" x F)) + (text . "\tab{34} ") + (bcStrings (10 "0.4" y F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Function or derivative required: ") + (radioButtons deriv + ("" " Function" f) + ("" " Derivative" d)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Scaling option: ") + (radioButtons scale + ("" " Unscaled" u) + ("" " Scaled" s)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Ifail value: ") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 's17dgfGen) + htShowPage() + + +s17dgfGen htPage == + x := htpLabelInputString(htPage,'x) + y := htpLabelInputString(htPage,'y) + ford := htpButtonValue(htPage,'deriv) + deriv := + ford = 'f => '"f" + '"d" + uors := htpButtonValue(htPage,'scale) + scale := + uors = 'u => '"u" + '"s" + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + prefix := STRCONC('"s17dgf(_"",deriv,"_",complex(",x,",",y,"),_"") + prefix := STRCONC(prefix,scale,"_", ",STRINGIMAGE ifail,")") + linkGen prefix + +s17dhf() == + htInitPage('"S17DHF - Airy functions {\em Bi(z)} and {\em Bi'(z)} ",nil) + htMakePage '( + (domainConditions + (isDomain F (Float)) + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXs17dhf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s17dhf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\newline ") + (text . "Evaluates the Airy function Bi(z) or its derivative Bi'(z), ") + (text . "for complex z, with an option for exponential scaling. ") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Real part of {\it z}:") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Imaginary part of {\it z}:") + (text . "\newline \tab{2} ") + (bcStrings (10 "0.3" x F)) + (text . "\tab{34} ") + (bcStrings (10 "0.4" y F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Function or derivative required: ") + (radioButtons deriv + ("" " Function" f) + ("" " Derivative" d)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Scaling option: ") + (radioButtons scale + ("" " Unscaled" u) + ("" " Scaled" s)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Ifail value: ") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 's17dhfGen) + htShowPage() + + +s17dhfGen htPage == + x := htpLabelInputString(htPage,'x) + y := htpLabelInputString(htPage,'y) + ford := htpButtonValue(htPage,'deriv) + deriv := + ford = 'f => '"f" + '"d" + uors := htpButtonValue(htPage,'scale) + scale := + uors = 'u => '"u" + '"s" + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + prefix := STRCONC('"s17dhf(_"",deriv,"_",complex(",x,",",y,"),_"") + prefix := STRCONC(prefix,scale,"_", ",STRINGIMAGE ifail,")") + linkGen prefix + + +s17dlf() == + htInitPage('"S17DLF - Hankel function \vspace{-28} \htbitmap{s17dlf} \vspace{-37}, j = 1,2, real a \space{1} \htbitmap{great=} 0, complex z, v = 0,1,2,...",nil) + htMakePage '( + (domainConditions + (isDomain F (Float)) + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXs17dlf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s17dlf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\newline ") + (text . "Returns a sequence of values for the Hankel functions ") + (text . "\htbitmap{s17dlf}, j = 1,2, for complex z, ") + (text . "non-negative v ") + (text . "and n = 0,1,...,N-1, with an option for exponential scaling.") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Order v of the first member of the sequence of functions ") + (text . "{\it FNU} \htbitmap{great=} 0:") + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" fnu F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Real part of {\it z}:") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Imaginary part of {\it z}:") + (text . "\newline \tab{2} ") + (bcStrings (10 "0.3" x F)) + (text . "\tab{34} ") + (bcStrings (10 "0.4" y F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Number of members required in sequence {\it N} ") + (text . "\htbitmap{great=} 1:") + (text . "\newline \tab{2} ") + (bcStrings (10 2 n PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Hankel function {\it m}: ") + (radioButtons hankel + ("" " \htbitmap{s17dlf1}" mone) + ("" " \htbitmap{s17dlf2}" mtwo)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Scaling option: ") + (radioButtons scale + ("" " Unscaled" u) + ("" " Scaled" s)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Ifail value: ") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 's17dlfGen) + htShowPage() + + +s17dlfGen htPage == + n := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) + objValUnwrap htpLabelSpadValue(htPage, 'n) + fnu := htpLabelInputString(htPage,'fnu) + x := htpLabelInputString(htPage,'x) + y := htpLabelInputString(htPage,'y) + hankel := htpButtonValue(htPage,'hankel) + m := + hankel = 'mone => '1 + '2 + uors := htpButtonValue(htPage,'scale) + scale := + uors = 'u => '"u" + '"s" + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + prefix := STRCONC('"s17dlf(",STRINGIMAGE m,", ",fnu,",complex(") + prefix := STRCONC(prefix,x,",",y,"),",STRINGIMAGE n) + prefix := STRCONC(prefix,",_"",scale,"_", ",STRINGIMAGE ifail,")") + linkGen prefix + + +s18acf() == + page := htInitPage("S18ACF - Modified Bessel Function \space{1} \vspace{-28} \inputbitmap{\htbmdir{}/s18acf1.bitmap}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs18acf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s18acf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the modified Bessel function \space{1} \vspace{-28}") + (text . "\inputbitmap{\htbmdir{}/s18acf.bitmap} \vspace{-40}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x > 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.4" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s18acf") + htShowPage() + +s18adf() == + page := htInitPage("S18ADF - Modified Bessel Function \space{1} \vspace{-28} \inputbitmap{\htbmdir{}/s18adf1.bitmap}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs18adf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s18adf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the modified Bessel function \space{1} \vspace{-28}") + (text . "\inputbitmap{\htbmdir{}/s18adf.bitmap} \vspace{-40}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x > 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.4" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s18adf") + htShowPage() + +s18aef() == + page := htInitPage("S18AeF - Modified Bessel Function \space{1} \vspace{-28} \inputbitmap{\htbmdir{}/s18aef1.bitmap}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs18aef} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s18aef| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the modified Bessel function \space{1} \vspace{-28}") + (text . "\inputbitmap{\htbmdir{}/s18aef.bitmap} \vspace{-40}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.5" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s18aef") + htShowPage() + +s18aff() == + page := htInitPage("S18AFF - Modified Bessel Function \space{1} \vspace{-28} \inputbitmap{\htbmdir{}/s18aff1.bitmap}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs18aff} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s18aff| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the modified Bessel function \space{1} \vspace{-28}") + (text . "\inputbitmap{\htbmdir{}/s18aff.bitmap} \vspace{-40}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.5" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s18aff") + htShowPage() + +s18dcf() == + htInitPage('"S18DCF - Bessel function \htbitmap{s18dcf}, real a \space{1} \htbitmap{great=} 0, complex z, v = 0,1,2,...",nil) + htMakePage '( + (domainConditions + (isDomain F (Float)) + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXs18dcf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s18dcf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\newline ") + (text . "Returns a sequence of values for the modified Bessel functions ") + (text . "\htbitmap{s18dcf}, for complex z, non-negative v ") + (text . "and n = 0,1,...,N-1, with an option for exponential scaling.") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Order v of the first member of the sequence of functions ") + (text . "{\it FNU} \htbitmap{great=} 0:") + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" fnu F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Real part of {\it z}:") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Imaginary part of {\it z}:") + (text . "\newline \tab{2} ") + (bcStrings (10 "0.3" x F)) + (text . "\tab{34} ") + (bcStrings (10 "0.4" y F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Number of members required in sequence {\it N} ") + (text . "\htbitmap{great=} 1:") + (text . "\newline \tab{2} ") + (bcStrings (10 2 n PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Scaling option: ") + (radioButtons scale + ("" " Unscaled" u) + ("" " Scaled" s)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Ifail value: ") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 's18dcfGen) + htShowPage() + + +s18dcfGen htPage == + n := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) + objValUnwrap htpLabelSpadValue(htPage, 'n) + fnu := htpLabelInputString(htPage,'fnu) + x := htpLabelInputString(htPage,'x) + y := htpLabelInputString(htPage,'y) + uors := htpButtonValue(htPage,'scale) + scale := + uors = 'u => '"u" + '"s" + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + prefix := STRCONC('"s18dcf(",fnu,",complex(",x,",",y,"),",STRINGIMAGE n) + prefix := STRCONC(prefix,",_"",scale,"_", ",STRINGIMAGE ifail,")") + linkGen prefix + +s18def() == + htInitPage('"S18DEF - Modified bessel function \htbitmap{s18def}, real a \space{1} \htbitmap{great=} 0, complex z, v = 0,1,2,...",nil) + htMakePage '( + (domainConditions + (isDomain F (Float)) + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXs18def} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s18def| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\newline ") + (text . "Returns a sequence of values for the modified Bessel functions ") + (text . "\htbitmap{s18def}, for complex z, non-negative v ") + (text . "and n = 0,1,...,N-1, with an option for exponential scaling.") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Order v of the first member of the sequence of functions ") + (text . "{\it FNU} \htbitmap{great=} 0:") + (text . "\newline \tab{2} ") + (bcStrings (10 "0.0" fnu F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Real part of {\it z}:") + (text . "\tab{32} \menuitemstyle{}\tab{34}") + (text . "Imaginary part of {\it z}:") + (text . "\newline \tab{2} ") + (bcStrings (10 "0.3" x F)) + (text . "\tab{34} ") + (bcStrings (10 "-0.4" y F)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Number of members required in sequence {\it N} ") + (text . "\htbitmap{great=} 1:") + (text . "\newline \tab{2} ") + (bcStrings (10 2 n PI)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Scaling option: ") + (radioButtons scale + ("" " Unscaled" u) + ("" " Scaled" s)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{} \tab{2} ") + (text . "\newline \tab{2} ") + (text . "Ifail value: ") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 's18defGen) + htShowPage() + + +s18defGen htPage == + n := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) + objValUnwrap htpLabelSpadValue(htPage, 'n) + fnu := htpLabelInputString(htPage,'fnu) + x := htpLabelInputString(htPage,'x) + y := htpLabelInputString(htPage,'y) + uors := htpButtonValue(htPage,'scale) + scale := + uors = 'u => '"u" + '"s" + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + prefix := STRCONC('"s18def(",fnu,",complex(",x,",",y,"),",STRINGIMAGE n) + prefix := STRCONC(prefix,",_"",scale,"_", ",STRINGIMAGE ifail,")") + linkGen prefix + + +s19aaf() == + page := htInitPage("S19AAF - Kelvin Function {\em ber x}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs19aaf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s19aaf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the Kelvin function {\em ber x}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "1.0" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s19aaf") + htShowPage() + +s19abf() == + page := htInitPage("S19ABF - Kelvin Function {\em bei x}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs19abf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s19abf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the Kelvin function {\em bei x}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.1" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s19abf") + htShowPage() + +s19acf() == + page := htInitPage("S19ACF - Kelvin Function {\em ker x}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs19acf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s19acf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the Kelvin function {\em ker x}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x > 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.1" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s19acf") + htShowPage() + +s19adf() == + page := htInitPage("S19AAF - Kelvin Function {\em kei x}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs19adf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s19adf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the Kelvin function {\em kei x}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x \inputbitmap{\htbmdir{}/great=.bitmap} 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.0" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s19adf") + htShowPage() + +s20acf() == + page := htInitPage("S20ACF - Fresnel Integral {\em S(x)}",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs20acf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s20acf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the Fresnel Integral {\em S(x)}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.5" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s20acf") + htShowPage() + +s20adf() == + page := htInitPage("S20ADF - Fresnel Integral {\em C(x)}",nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs20adf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s20adf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the Fresnel Integral {\em C(x)}") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument x: ") + (text . "\newline\tab{2} ") + (bcStrings (9 "0.5" x F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 'sGen) + htpSetProperty(page,'routine,"s20adf") + htShowPage() + +s21baf() == + htInitPage("S21BAF - Degenerate Symmetrised Elliptic Integral of 1st Kind \vspace{-28} \inputbitmap{\htbmdir{}/s21baf1.bitmap}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs21baf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s21baf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the elementary (degenerate symmetrised elliptic) ") + (text . " integral \space{1} \vspace{-28} \inputbitmap{\htbmdir{}/s21baf.bitmap} ") + (text . "\blankline ") + (text . "\newline ") + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} ") + (text . "Enter the argument x \space{1}\inputbitmap{\htbmdir{}/great=.bitmap} 0.0: ") + (text . "\tab{32} \menuitemstyle{}\tab{34} ") + (text . "Enter the argument y \notequal 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (10 "0.5" x F)) + (text . "\tab{34} ") + (bcStrings (10 "1.0" y F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 's21bafGen) + htShowPage() + +s21bafGen htPage == + x := htpLabelInputString(htPage,'x) + y := htpLabelInputString(htPage,'y) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + linkGen STRCONC("s21baf(",x,'",",y,",",STRINGIMAGE ifail,'")") + +s21bbf() == + htInitPage("S21BBF - Symmetrised Elliptic Integral of 1st Kind \space{1} \vspace{-28} \inputbitmap{\htbmdir{}/s21bbf1.bitmap}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs21bbf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s21bbf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the symmetrised elliptic integral of the first kind ") + (text . "\space{1} \vspace{-28} \inputbitmap{\htbmdir{}/s21bbf.bitmap} ") + (text . "\newline ") + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} ") + (text . "Enter the argument x \space{1}\inputbitmap{\htbmdir{}/great=.bitmap} 0.0: ") + (text . "\tab{32} \menuitemstyle{}\tab{34} ") + (text . "Enter the argument y \space{1}\inputbitmap{\htbmdir{}/great=.bitmap} 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (10 "0.5" x F)) + (text . "\tab{34} ") + (bcStrings (10 "1.0" y F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument z \space{1}\inputbitmap{\htbmdir{}/great=.bitmap} 0.0; ") + (text . "at most one of x,y and z may be equal to 0.0: \newline \tab{2}") + (bcStrings (10 "1.5" z F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 's21bbfGen) + htShowPage() + +s21bbfGen htPage == + x := htpLabelInputString(htPage,'x) + y := htpLabelInputString(htPage,'y) + z := htpLabelInputString(htPage,'z) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + linkGen STRCONC("s21bbf(",x,'",",y,",",z,",",STRINGIMAGE ifail,'")") + +s21bcf() == + htInitPage("S21BCF - Symmetrised Elliptic Integral of 2nd Kind \space{1} \vspace{-28} \inputbitmap{\htbmdir{}/s21bcf1.bitmap}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs21bcf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s21bcf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the symmetrised elliptic integral of the second kind ") + (text . "\space{1} \vspace{-28} \inputbitmap{\htbmdir{}/s21bcf.bitmap} ") + (text . "\newline ") + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} ") + (text . "Enter the argument x \space{1}\inputbitmap{\htbmdir{}/great=.bitmap} 0.0: ") + (text . "\tab{32} \menuitemstyle{}\tab{34} ") + (text . "Enter the argument y \space{1}\inputbitmap{\htbmdir{}/great=.bitmap} 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (10 "0.5" x F)) + (text . "\tab{34} ") + (bcStrings (10 "0.5" y F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument z > 0.0; ") + (text . "at most one of x, y and z may be equal to 0.0: \newline \tab{2}") + (bcStrings (10 "1.0" z F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 's21bcfGen) + htShowPage() + +s21bcfGen htPage == + x := htpLabelInputString(htPage,'x) + y := htpLabelInputString(htPage,'y) + z := htpLabelInputString(htPage,'z) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + linkGen STRCONC("s21bcf(",x,'",",y,",",z,",",STRINGIMAGE ifail,'")") + +s21bdf() == + htInitPage("S21BDF - Symmetrised Elliptic Integral of 3rd Kind \space{1} \vspace{-28} \inputbitmap{\htbmdir{}/s21bdf1.bitmap}", nil) + htMakePage '( + (domainConditions + (isDomain F (Float))) + (text . "\windowlink{Manual Page}{manpageXXs21bdf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|s21bdf| '|NagSpecialFunctionsPackage|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\blankline ") + (text . "Evaluates the symmetrised elliptic integral of the third kind ") + (text . "\space{1} \vspace{-28} \inputbitmap{\htbmdir{}/s21bdf.bitmap} ") + (text . "\newline ") + (text . "\blankline ") + (text . "\newline \menuitemstyle{}\tab{2} ") + (text . "Enter the argument x \space{1}\inputbitmap{\htbmdir{}/great=.bitmap} 0.0: ") + (text . "\tab{32} \menuitemstyle{}\tab{34} ") + (text . "Enter the argument y \space{1}\inputbitmap{\htbmdir{}/great=.bitmap} 0.0: ") + (text . "\newline\tab{2} ") + (bcStrings (10 "0.5" x F)) + (text . "\tab{34} ") + (bcStrings (10 "0.5" y F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument z \space{1}\inputbitmap{\htbmdir{}/great=.bitmap} 0.0; ") + (text . "at most one of x, y and z may be equal to 0.0: \newline \tab{2}") + (bcStrings (10 "0.5" z F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the argument \rho \notequal 0.0: \newline \tab{2} ") + (bcStrings (10 "2.0" r F)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Ifail value:") + (radioButtons ifail + ("" " -1, Print error messages" minusOne) + ("" " 1, Suppress error messages" one))) + htMakeDoneButton('"Continue", 's21bdfGen) + htShowPage() + +s21bdfGen htPage == + x := htpLabelInputString(htPage,'x) + y := htpLabelInputString(htPage,'y) + z := htpLabelInputString(htPage,'z) + r := htpLabelInputString(htPage,'r) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + linkGen STRCONC("s21bdf(",x,'",",y,",",z,",",r,",",STRINGIMAGE ifail,'")") + +sGen htPage == + routine := htpProperty(htPage,'routine) + x := htpLabelInputString(htPage,'x) + error := htpButtonValue(htPage,'ifail) + ifail := + error = 'one => 1 + -1 + linkGen STRCONC(routine,"(",x,'",",STRINGIMAGE ifail,'")") + +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |