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Diffstat (limited to 'src/interp/nag-c06.boot.pamphlet')
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diff --git a/src/interp/nag-c06.boot.pamphlet b/src/interp/nag-c06.boot.pamphlet deleted file mode 100644 index 6ea240c3..00000000 --- a/src/interp/nag-c06.boot.pamphlet +++ /dev/null @@ -1,1856 +0,0 @@ -\documentclass{article} -\usepackage{axiom} -\begin{document} -\title{\$SPAD/src/interp nag-c06.boot} -\author{The Axiom Team} -\maketitle -\begin{abstract} -\end{abstract} -\eject -\tableofcontents -\eject -\section{License} -<<license>>= --- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd. --- All rights reserved. --- --- Redistribution and use in source and binary forms, with or without --- modification, are permitted provided that the following conditions are --- met: --- --- - Redistributions of source code must retain the above copyright --- notice, this list of conditions and the following disclaimer. --- --- - Redistributions in binary form must reproduce the above copyright --- notice, this list of conditions and the following disclaimer in --- the documentation and/or other materials provided with the --- distribution. --- --- - Neither the name of The Numerical ALgorithms Group Ltd. nor the --- names of its contributors may be used to endorse or promote products --- derived from this software without specific prior written permission. --- --- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS --- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED --- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A --- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER --- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, --- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, --- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR --- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF --- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING --- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS --- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. - -@ -<<*>>= -<<license>> - -)package "BOOT" - -c06eaf() == - htInitPage('"C06EAF - Single 1-D real discrete Fourier transform ",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc06eaf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c06eaf| '|NagSeriesSummationPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Calculates the discrete Fourier transform of the sequence ") - (text . "of real data values \space{1} \inputbitmap{\htbmdir{}/xj.bitmap}, for ") - (text . "j = 0,1,...,n-1. ") - (text . "\newline ") - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of data values: ") - (text . "\newline\tab{2} ") - (bcStrings (5 7 n PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c06eafSolve) - htShowPage() - -c06eafSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - n = '7 => c06eafDefaultSolve(htPage,ifail) - labelList := - "append"/[f(i) for i in 1..n] where f(i) == - prefix := ('"\newline \tab{15} ") - rnam := INTERN STRCONC ('"r",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[10, 0.0, rnam, 'F]]] - equationPart := [ - '(domainConditions - (isDomain F (Float))), - :labelList] - page := htInitPage("C06EAF - Single 1-D real discrete Fourier transform ", htpPropertyList htPage) - htSay '"\menuitemstyle{} \tab{2} " - htSay '"Enter the sequence to be transformed: " - htMakePage equationPart - htSay '"\blankline " - htSay '"Note : On exit, the transformed sequence is stored " - htSay '"in Hermitian form " - htSay '"\blankline " - htMakeDoneButton('"Continue",'c06eafGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06eafDefaultSolve (htPage, ifail) == - n := '7 - page := htInitPage('"C06EAF - Single 1-D real discrete Fourier transform ",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the sequence to be transformed: ") - (text . "\newline \tab{15} ") - (bcStrings (10 "0.34907" r1 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "0.54890" r2 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "0.74776" r3 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "0.94459" r4 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "1.13850" r5 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "1.32850" r6 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "1.51370" r7 F)) - (text . "\blankline ") - (text . "Note : On exit, the transformed sequence is stored ") - (text . "in Hermitian form ") - (text . "\blankline ")) - htMakeDoneButton('"Continue",'c06eafGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06eafGen htPage == - n := htpProperty(htPage,'n) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - while y repeat - left := STRCONC((first y).1," ") - y := rest y - reallist := [left,:reallist] - realstring := bcwords2liststring reallist - linkGen STRCONC ('"c06eaf(",STRINGIMAGE n,",[",realstring,"],",STRINGIMAGE ifail,")") - -c06ebf() == - htInitPage('"C06EBF - Single 1-D Hermitian discrete Fourier transform ",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc06ebf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c06ebf| '|NagSeriesSummationPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Calculates the discrete Fourier transform of a Hermitian ") - (text . "sequence of complex data values. ") - (text . "\newline ") - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of data values: ") - (text . "\newline \tab{2}") - (bcStrings (5 7 n PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Ifail value: ") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c06ebfSolve) - htShowPage() - -c06ebfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - n = '7 => c06ebfDefaultSolve(htPage,ifail) - labelList := - "append"/[f(i) for i in 1..n] where f(i) == - prefix := ('"\newline \tab{15} ") - rnam := INTERN STRCONC ('"r",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[10, 0.0, rnam, 'F]]] - equationPart := [ - '(domainConditions - (isDomain F (Float))), - :labelList] - page := htInitPage("C06EBF - Single 1-D real discrete Fourier transform ", htpPropertyList htPage) - htSay '"\menuitemstyle{} \tab{2} " - htSay '"Enter the sequence to be transformed, stored in Hermitian form: " - htMakePage equationPart - htSay '"\blankline " - htSay '"Note : On exit, the components of the discrete Fourier transform " - htSay '"\blankline " - htMakeDoneButton('"Continue",'c06ebfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06ebfDefaultSolve (htPage, ifail) == - n := '7 - page := htInitPage('"C06EBF - Single 1-D Hermitian discrete Fourier transform ",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the sequence to be transformed, stored in Hermitian form: ") - (text . "\newline \tab{15} ") - (bcStrings (10 "0.34907" r1 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "0.54890" r2 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "0.74776" r3 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "0.94459" r4 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "1.13850" r5 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "1.32850" r6 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "1.51370" r7 F)) - (text . "\blankline ") - (text . "Note : On exit, the components of the discrete Fourier transform") - (text . "\blankline ")) - htMakeDoneButton('"Continue",'c06ebfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06ebfGen htPage == - n := htpProperty(htPage,'n) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - while y repeat - left := STRCONC((first y).1," ") - y := rest y - reallist := [left,:reallist] - realstring := bcwords2liststring reallist - linkGen STRCONC ('"c06ebf(",STRINGIMAGE n,",[",realstring,"],",STRINGIMAGE ifail,")") - - -c06ecf() == - htInitPage('"C06ECF - Single 1-D complex discrete Fourier transform ",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc06ecf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c06ecf| '|NagSeriesSummationPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Calculates the discrete Fourier transform of a complex sequence.") - (text . "\newline ") - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of data values: ") - (text . "\newline\tab{2} ") - (bcStrings (5 7 n PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c06ecfSolve) - htShowPage() - - -c06ecfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - n = '7 => c06ecfDefaultSolve(htPage,ifail) - labelList := - "append"/[f(i) for i in 1..n] where f(i) == - prefix := ('"\newline \tab{2} ") - post := ('"\tab{32} ") - 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("C06ECF - Single 1-D complex discrete Fourier transform ",htpPropertyList htPage) - htSay '"\menuitemstyle{}\tab{2} Real parts of sequence: \tab{30} " - htSay '"\menuitemstyle{}\tab{32} Imaginary parts: " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'c06ecfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -c06ecfDefaultSolve (htPage, ifail) == - n := '7 - page := htInitPage('"C06ECF - Single 1-D complex discrete Fourier transform ",htpPropertyList htPage) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Real parts of sequence: \tab{30} ") - (text . "\menuitemstyle{}\tab{32} Imaginary parts: ") - (text . "\newline \tab{2}") - (bcStrings (10 "0.34907" x1 F)) - (text . "\tab{32} ") - (bcStrings (10 "-0.37168" y1 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "0.54890" x2 F)) - (text . "\tab{32} ") - (bcStrings (10 "-0.35669" y2 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "0.74776" x3 F)) - (text . "\tab{32} ") - (bcStrings (10 "-0.31175" y3 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "0.94459" x4 F)) - (text . "\tab{32} ") - (bcStrings (10 "-0.23702" y4 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "1.13850" x5 F)) - (text . "\tab{32} ") - (bcStrings (10 "-0.13274" y5 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "1.32850" x6 F)) - (text . "\tab{32} ") - (bcStrings (10 "0.00074" y6 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "1.51370" x7 F)) - (text . "\tab{32} ") - (bcStrings (10 "0.16298" y7 F)) - (text . "\blankline")) - htMakeDoneButton('"Continue",'c06ecfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06ecfGen 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 ('"c06ecf(",STRINGIMAGE n,",[",realstring,"],[",imagstring,"],", STRINGIMAGE ifail,")") - - -c06ekf() == - htInitPage('"C06EKF - Circular convolution or correlation of two real vectors",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc06ekf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c06ekf| '|NagSeriesSummationPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Calculates the circular convolution or correlation of two real ") - (text . "vectors of period {\em n} ") - (text . "\newline ") - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of data values: ") - (text . "\newline\tab{2} ") - (bcStrings (5 9 n PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Choose the computation to be performed:") - (radioButtons job - ("" " Convolution" conv) - ("" " Correlation" corr)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c06ekfSolve) - htShowPage() - - -c06ekfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - type := htpButtonValue(htPage,'job) - job := - type = 'conv => '1 - '2 - n = '9 => c06ekfDefaultSolve(htPage,job,ifail) - labelList := - "append"/[f(i) for i in 1..n] where f(i) == - prefix := ('"\newline \tab{2} ") - post := ('"\tab{34} ") - 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("C06EKF - Single 1-D complex discrete Fourier transform ",htpPropertyList htPage) - htSay '"\menuitemstyle{}\tab{2} Elements of period of vector {\em x}: " - htSay '"\tab{31} " - htSay '"\menuitemstyle{}\tab{34} Elements of period of vector {\em y}:" - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'c06ekfGen) - htpSetProperty(page,'job,job) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -c06ekfDefaultSolve (htPage, job, ifail) == - n := '9 - page := htInitPage('"C06EKF - Circular convolution or correlation of two real vectors ",htpPropertyList htPage) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Elements of period of vector {\em x}: \tab{32} ") - (text . "\menuitemstyle{}\tab{34} Elements of period of vector {\em y}: ") - (text . "\newline \tab{2}") - (bcStrings (10 "1.00" x1 F)) - (text . "\tab{34} ") - (bcStrings (10 "0.50" y1 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "1.00" x2 F)) - (text . "\tab{34} ") - (bcStrings (10 "0.50" y2 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "1.00" x3 F)) - (text . "\tab{34} ") - (bcStrings (10 "0.50" y3 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "1.00" x4 F)) - (text . "\tab{34} ") - (bcStrings (10 "0.50" y4 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "1.00" x5 F)) - (text . "\tab{34} ") - (bcStrings (10 "0.00" y5 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "0.00" x6 F)) - (text . "\tab{34} ") - (bcStrings (10 "0.00" y6 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "0.00" x7 F)) - (text . "\tab{34} ") - (bcStrings (10 "0.00" y7 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "0.00" x8 F)) - (text . "\tab{34} ") - (bcStrings (10 "0.00" y8 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "0.00" x9 F)) - (text . "\tab{34} ") - (bcStrings (10 "0.00" y9 F)) - (text . "\blankline")) - htMakeDoneButton('"Continue",'c06ekfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'job,job) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06ekfGen htPage == - n := htpProperty(htPage,'n) - ifail := htpProperty(htPage,'ifail) - job := htpProperty(htPage,'job) - 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 ('"c06ekf(",STRINGIMAGE job,",",STRINGIMAGE n,",[",realstring,"],[",imagstring,"],", STRINGIMAGE ifail,")") - -c06fpf() == - htInitPage('"C06FPF - Multiple 1-D real discrete Fourier transform ",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc06fpf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c06fpf| '|NagSeriesSummationPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Computes the discrete Fourier transforms of {\it m} real ") - (text . "sequences, each containing {\it n} data values.") - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of sequences to be transformed {\it m}: ") - (text . "\newline \tab{2} ") - (bcStrings (5 3 m PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of data values {\it n}: ") - (text . "\newline\tab{2} ") - (bcStrings (5 6 n PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Type of call:") - (radioButtons init - ("" " Initial" i) - ("" " Subsequent" s) - ("" " Restart" r)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c06fpfSolve) - htShowPage() - -c06fpfSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - call := htpButtonValue(htPage,'init) - init := - call = 'i => '"i" - call = 's => '"s" - '"r" - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (n = '6 and m = '3) => c06fpfDefaultSolve(htPage,init,ifail) - matList := - "append"/[f(i,m) for i in 1..n] where f(i,n) == - labelList := - "append"/[g(i,j) for j in 1..n] where g(i,j) == - xnam := INTERN STRCONC ('"r",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, 0.0, xnam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - trigList := - "append"/[h(k) for k in 1..(2*n)] where h(k) == - prefix := ('"\newline \tab{2} ") - trignam := INTERN STRCONC ('"t",STRINGIMAGE k) - [['text,:prefix],['bcStrings,[6, "0.0", trignam, 'F]]] - prefix := ('"\blankline \menuitemstyle{} \tab{2} Trigonometric coefficients ") - prefix := STRCONC(prefix,"(not required if initial call) {\it TRIG}: ") - prefix := STRCONC(prefix,"\newline \tab{2} ") - trigList := [['text,:prefix],:trigList] - equationPart := [ - '(domainConditions - (isDomain F (Float))), - :matList,:trigList] - page := htInitPage("C06FPF - Multiple 1-D real discrete Fourier transform ", htpPropertyList htPage) - htSay '"\menuitemstyle{} \tab{2} " - htSay '"Enter each sequence to be transformed, {\it x}. " - htSay '"(Each column to contain a sequence.) " - htMakePage equationPart - htMakeDoneButton('"Continue",'c06fpfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) - htpSetProperty(page,'init,init) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06fpfDefaultSolve (htPage, init,ifail) == - n := '6 - m := '3 - page := htInitPage('"C06FPF - Multiple 1-D real discrete Fourier transform ",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter each sequence to be transformed, {\it x}. ") - (text . "(Each column to contain a sequence.) ") - (text . "\newline \tab{2} ") - (bcStrings (6 "0.3854" x11 F)) - (bcStrings (6 "0.5417" x21 F)) - (bcStrings (6 "0.9172" x31 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6772" x12 F)) - (bcStrings (6 "0.2983" x22 F)) - (bcStrings (6 "0.0644" x32 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.1138" x13 F)) - (bcStrings (6 "0.1181" x23 F)) - (bcStrings (6 "0.6037" x33 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6751" x14 F)) - (bcStrings (6 "0.7255" x24 F)) - (bcStrings (6 "0.6430" x34 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6362" x15 F)) - (bcStrings (6 "0.8638" x25 F)) - (bcStrings (6 "0.0428" x35 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.1424" x16 F)) - (bcStrings (6 "0.8723" x26 F)) - (bcStrings (6 "0.4815" x36 F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Trignometric coefficients (not required if initial call) ") - (text . "{\it TRIG}: \newline \tab{2} ") - (bcStrings (6 "0.0" t1 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t2 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t3 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t4 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t5 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t6 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t7 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t8 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t9 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t10 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t11 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t12 F)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'c06fpfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) - htpSetProperty(page,'init,init) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06fpfGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) - init := htpProperty(htPage,'init) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..(2*n) repeat - left := STRCONC((first y).1," ") - y := rest y - triglist := [left,:triglist] - trigstring := bcwords2liststring triglist - while y repeat - left := STRCONC((first y).1," ") - y := rest y - xlist := [left,:xlist] - xstring := bcwords2liststring xlist - prefix := STRCONC ('"c06fpf(",STRINGIMAGE m,", ",STRINGIMAGE n,", _"") - prefix := STRCONC(prefix,init,"_",[",xstring,"],[",trigstring,"],") - linkGen STRCONC(prefix,STRINGIMAGE ifail,")") - - -c06fqf() == - htInitPage('"C06FQF - Multiple 1-D Hermitian discrete Fourier transform ",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc06fqf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c06fqf| '|NagSeriesSummationPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Computes the discrete Fourier transforms of {\it m} real ") - (text . "sequences, each containing {\it n} data values.") - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of sequences to be transformed {\it m}: ") - (text . "\newline \tab{2} ") - (bcStrings (5 3 m PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of data values {\it n}: ") - (text . "\newline\tab{2} ") - (bcStrings (5 6 n PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Type of call:") - (radioButtons init - ("" " Initial" i) - ("" " Subsequent" s) - ("" " Restart" r)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c06fqfSolve) - htShowPage() - -c06fqfSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - call := htpButtonValue(htPage,'init) - init := - call = 'i => '"i" - call = 's => '"s" - '"r" - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (n = '6 and m = '3) => c06fqfDefaultSolve(htPage,init,ifail) - matList := - "append"/[f(i,m) for i in 1..n] where f(i,n) == - labelList := - "append"/[g(i,j) for j in 1..n] where g(i,j) == - xnam := INTERN STRCONC ('"r",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, 0.0, xnam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - trigList := - "append"/[h(k) for k in 1..(2*n)] where h(k) == - prefix := ("\newline \tab{2} ") - trignam := INTERN STRCONC ('"t",STRINGIMAGE k) - [['text,:prefix],['bcStrings,[6, "0.0", trignam, 'F]]] - prefix := ('"\blankline \menuitemstyle{} \tab{2} Trignometric coefficients ") - prefix := STRCONC(prefix,"(not required if initial call) {\it TRIG}: ") - prefix := STRCONC(prefix,"\newline \tab{2} ") - trigList := [['text,:prefix],:trigList] - equationPart := [ - '(domainConditions - (isDomain F (Float))), - :matList,:trigList] - page := htInitPage("C06FQF - Multiple 1-D Hermitian discrete Fourier transform ", htpPropertyList htPage) - htSay '"\menuitemstyle{} \tab{2} " - htSay '"Enter each sequence to be transformed, {\it x}. " - htSay '"(Each column to contain a sequence.) " - htMakePage equationPart - htMakeDoneButton('"Continue",'c06fqfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) - htpSetProperty(page,'init,init) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06fqfDefaultSolve (htPage, init,ifail) == - n := '6 - m := '3 - page := htInitPage('"C06FQF - Multiple 1-D Hermitian discrete Fourier transform ",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter each sequence to be transformed, {\it x}. ") - (text . "(Each column to contain a sequence.) ") - (text . "\newline \tab{2} ") - (bcStrings (6 "0.3854" x11 F)) - (bcStrings (6 "0.5417" x21 F)) - (bcStrings (6 "0.9172" x31 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6772" x12 F)) - (bcStrings (6 "0.2983" x22 F)) - (bcStrings (6 "0.0644" x32 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.1138" x13 F)) - (bcStrings (6 "0.1181" x23 F)) - (bcStrings (6 "0.6037" x33 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6751" x14 F)) - (bcStrings (6 "0.7255" x24 F)) - (bcStrings (6 "0.6430" x34 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6362" x15 F)) - (bcStrings (6 "0.8638" x25 F)) - (bcStrings (6 "0.0428" x35 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.1424" x16 F)) - (bcStrings (6 "0.8723" x26 F)) - (bcStrings (6 "0.4815" x36 F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Trignometric coefficients (not required if initial call) ") - (text . "{\it TRIG}: \newline \tab{2} ") - (bcStrings (6 "0.0" t1 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t2 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t3 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t4 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t5 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t6 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t7 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t8 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t9 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t10 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t11 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t12 F)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'c06fqfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) - htpSetProperty(page,'init,init) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06fqfGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) - init := htpProperty(htPage,'init) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..(2*n) repeat - left := STRCONC((first y).1," ") - y := rest y - triglist := [left,:triglist] - trigstring := bcwords2liststring triglist - while y repeat - left := STRCONC((first y).1," ") - y := rest y - xlist := [left,:xlist] - xstring := bcwords2liststring xlist - prefix := STRCONC ('"c06fqf(",STRINGIMAGE m,", ",STRINGIMAGE n,", _"") - prefix := STRCONC(prefix,init,"_",[",xstring,"],[",trigstring,"],") - linkGen STRCONC(prefix,STRINGIMAGE ifail,")") - - -c06frf() == - htInitPage('"C06FRF - Multiple 1-D complex discrete Fourier transform ",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc06frf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c06frf| '|NagSeriesSummationPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Computes the discrete Fourier transforms of {\it m} complex ") - (text . "sequences, each containing {\it n} data values.") - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of sequences to be transformed {\it m}: ") - (text . "\newline \tab{2} ") - (bcStrings (5 3 m PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of data values {\it n}: ") - (text . "\newline\tab{2} ") - (bcStrings (5 6 n PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Type of call:") - (radioButtons init - ("" " Initial" i) - ("" " Subsequent" s) - ("" " Restart" r)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c06frfSolve) - htShowPage() - -c06frfSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - call := htpButtonValue(htPage,'init) - init := - call = 'i => '"i" - call = 's => '"s" - '"r" - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (n = '6 and m = '3) => c06frfDefaultSolve(htPage,init,ifail) - xList := - "append"/[fx(i,m) for i in 1..n] where fx(i,n) == - labelList := - "append"/[gx(i,j) for j in 1..n] where gx(i,j) == - xnam := INTERN STRCONC ('"x",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, 0.0, xnam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - yList := - "append"/[fy(i,m) for i in 1..n] where fy(i,n) == - labelList := - "append"/[gy(i,j) for j in 1..n] where gy(i,j) == - ynam := INTERN STRCONC ('"y",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, 0.0, ynam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - prefix := ('"\blankline \menuitemstyle{} \tab{2} Enter the imaginary parts ") - prefix := STRCONC(prefix,"of each sequence to be transformed, {\it y}. ") - prefix := STRCONC(prefix,"(Each column to contain the imaginary parts ") - prefix := STRCONC(prefix,"of a sequence.) \newline \tab{2} ") - yList := [['text,:prefix],:yList] - trigList := - "append"/[h(k) for k in 1..(2*n)] where h(k) == - prefix := ("\newline \tab{2} ") - trignam := INTERN STRCONC ('"t",STRINGIMAGE k) - [['text,:prefix],['bcStrings,[6, "0.0", trignam, 'F]]] - prefix := ('"\blankline \menuitemstyle{} \tab{2} Trignometric coefficients ") - prefix := STRCONC(prefix,"(not required if initial call) {\it TRIG}: ") - prefix := STRCONC(prefix,"\newline \tab{2} ") - trigList := [['text,:prefix],:trigList] - equationPart := [ - '(domainConditions - (isDomain F (Float))), - :xList,:yList,:trigList] - page := htInitPage("C06FRF - Multiple 1-D real discrete Fourier transform ", htpPropertyList htPage) - htSay '"\menuitemstyle{} \tab{2} " - htSay '"Enter the real parts of each sequence to be transformed, {\it x}. " - htSay '"(Each column to contain the real parts of a sequence.) " - htMakePage equationPart - htMakeDoneButton('"Continue",'c06frfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) - htpSetProperty(page,'init,init) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06frfDefaultSolve (htPage, init,ifail) == - n := '6 - m := '3 - page := htInitPage('"C06FRF - Multiple 1-D real discrete Fourier transform ",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the real parts of each sequence to be transformed, ") - (text . "{\it x}. (Each column to contain the real parts of a sequence.) ") - (text . "\newline \tab{2} ") - (bcStrings (6 "0.3854" x11 F)) - (bcStrings (6 "0.9172" x21 F)) - (bcStrings (6 "0.1156" x31 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6772" x12 F)) - (bcStrings (6 "0.0644" x22 F)) - (bcStrings (6 "0.0685" x32 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.1138" x13 F)) - (bcStrings (6 "0.6037" x23 F)) - (bcStrings (6 "0.2060" x33 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6751" x14 F)) - (bcStrings (6 "0.6430" x24 F)) - (bcStrings (6 "0.8630" x34 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6362" x15 F)) - (bcStrings (6 "0.0428" x25 F)) - (bcStrings (6 "0.6967" x35 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.1424" x16 F)) - (bcStrings (6 "0.4815" x26 F)) - (bcStrings (6 "0.2792" x36 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter the imaginary parts of each ") - (text . "sequence to be transformed, {\it y}. ") - (text . "(Each column to contain the imaginary parts of a sequence.) ") - (text . "\newline \tab{2} ") - (bcStrings (6 "0.5417" y11 F)) - (bcStrings (6 "0.9089" y21 F)) - (bcStrings (6 "0.6214" y31 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.2983" y12 F)) - (bcStrings (6 "0.3118" y22 F)) - (bcStrings (6 "0.8681" y32 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.1181" y13 F)) - (bcStrings (6 "0.3465" y23 F)) - (bcStrings (6 "0.7060" y33 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.7255" y14 F)) - (bcStrings (6 "0.6198" y24 F)) - (bcStrings (6 "0.8652" y34 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.8638" y15 F)) - (bcStrings (6 "0.2668" y25 F)) - (bcStrings (6 "0.9190" y35 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.8723" y16 F)) - (bcStrings (6 "0.1614" y26 F)) - (bcStrings (6 "0.3355" y36 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Trignometric coefficients (not required if initial call) ") - (text . "{\it TRIG}: \newline \tab{2} ") - (bcStrings (6 "0.0" t1 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t2 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t3 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t4 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t5 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t6 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t7 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t8 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t9 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t10 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t11 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" t12 F)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'c06frfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) - htpSetProperty(page,'init,init) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06frfGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) - init := htpProperty(htPage,'init) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..(2*n) repeat - left := STRCONC((first y).1," ") - y := rest y - triglist := [left,:triglist] - trigstring := bcwords2liststring triglist - for i in 1..(m*n) repeat - left := STRCONC((first y).1," ") - y := rest y - ylist := [left,:ylist] - ystring := bcwords2liststring ylist - while y repeat - left := STRCONC((first y).1," ") - y := rest y - xlist := [left,:xlist] - xstring := bcwords2liststring xlist - prefix := STRCONC ('"c06frf(",STRINGIMAGE m,", ",STRINGIMAGE n,", _"") - prefix := STRCONC(prefix,init,"_",[",xstring,"],[",ystring,"],[") - linkGen STRCONC(prefix,trigstring,"],",STRINGIMAGE ifail,")") - - -c06fuf() == - htInitPage('"C06FUF - 2-D complex discrete Fourier transform ",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc06fuf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c06fuf| '|NagSeriesSummationPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Computes the two-dimensional discrete Fourier transform of ") - (text . "a bivaraite sequence of complex data values; likely to be ") - (text . "efficient on vector processors. ") - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of {\it m} of rows of X and Y; ") - (text . "\htbitmap{great=} 1 \newline \tab{2} ") - (bcStrings (5 3 m PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of {\it n} of columns of X and Y; ") - (text . "\htbitmap{great=} 1 \newline \tab{2} ") - (bcStrings (5 5 n PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Type of call:") - (radioButtons init - ("" " Initial" i) - ("" " Subsequent" s) - ("" " Restart" r)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c06fufSolve) - htShowPage() - -c06fufSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - call := htpButtonValue(htPage,'init) - init := - call = 'i => '"i" - call = 's => '"s" - '"r" - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (n = '5 and m = '3) => c06fufDefaultSolve(htPage,init,ifail) - xList := - "append"/[fx(i,m) for i in 1..n] where fx(i,n) == - labelList := - "append"/[gx(i,j) for j in 1..n] where gx(i,j) == - xnam := INTERN STRCONC ('"x",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, 0.0, xnam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - yList := - "append"/[fy(i,m) for i in 1..n] where fy(i,n) == - labelList := - "append"/[gy(i,j) for j in 1..n] where gy(i,j) == - ynam := INTERN STRCONC ('"y",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, 0.0, ynam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - prefix := ('"\blankline \menuitemstyle{} \tab{2} Enter the imaginary parts ") - prefix := STRCONC(prefix,"of each sequence to be transformed, {\it y}. ") - prefix := STRCONC(prefix,"(Each column to contain the imaginary parts ") - prefix := STRCONC(prefix,"of a sequence.) \newline \tab{2} ") - yList := [['text,:prefix],:yList] - trigmList := - "append"/[hm(k) for k in 1..(2*m)] where hm(k) == - prefix := ("\newline \tab{2} ") - trignam := INTERN STRCONC ('"tm",STRINGIMAGE k) - [['text,:prefix],['bcStrings,[6, "0.0", trignam, 'F]]] - prefix := ('"\blankline \menuitemstyle{} \tab{2} Trignometric coefficients ") - prefix := STRCONC(prefix,"(not required if initial call) {\it TRIGM}: ") - prefix := STRCONC(prefix,"\newline \tab{2} ") - trigmList := [['text,:prefix],:trigmList] - trignList := - "append"/[hn(k) for k in 1..(2*n)] where hn(k) == - prefix := ("\newline \tab{2} ") - trignam := INTERN STRCONC ('"tn",STRINGIMAGE k) - [['text,:prefix],['bcStrings,[6, "0.0", trignam, 'F]]] - prefix := ('"\blankline \menuitemstyle{} \tab{2} {\it TRIGN}: ") - prefix := STRCONC(prefix,"\newline \tab{2} ") - trignList := [['text,:prefix],:trignList] - equationPart := [ - '(domainConditions - (isDomain F (Float))), - :xList,:yList,:trigmList,:trignList] - page := htInitPage("C06FUF - 2-D complex discrete Fourier transform ", htpPropertyList htPage) - htSay '"\menuitemstyle{} \tab{2} " - htSay '"Enter the real part of each sequence to be transformed, {\it x}. " - htSay '"(Each column to contain the real parts of a sequence.) " - htMakePage equationPart - htMakeDoneButton('"Continue",'c06fufGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) - htpSetProperty(page,'init,init) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06fufDefaultSolve (htPage, init,ifail) == - n := '5 - m := '3 - page := htInitPage('"C06FUF - 2-D real discrete Fourier transform ",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the real parts of each sequence to be transformed, ") - (text . "{\it x}. (Each column to contain the real parts of a sequence.) ") - (text . "\newline \tab{2} ") - (bcStrings (6 "1.000" x11 F)) - (bcStrings (6 "0.994" x21 F)) - (bcStrings (6 "0.903" x31 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.999" x12 F)) - (bcStrings (6 "0.989" x22 F)) - (bcStrings (6 "0.885" x32 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.987" x13 F)) - (bcStrings (6 "0.963" x23 F)) - (bcStrings (6 "0.823" x33 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.936" x14 F)) - (bcStrings (6 "0.891" x24 F)) - (bcStrings (6 "0.694" x34 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.802" x15 F)) - (bcStrings (6 "0.731" x25 F)) - (bcStrings (6 "0.467" x35 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter the imaginary parts of each ") - (text . "sequence to be transformed, {\it y}. (Each column to contain ") - (text . "the imaginary parts of a sequence.) ") - (text . "\newline \tab{2} ") - (bcStrings (6 "0.000" y11 F)) - (bcStrings (6 "-0.111" y21 F)) - (bcStrings (6 "-0.430" y31 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "-0.040" y12 F)) - (bcStrings (6 "-0.151" y22 F)) - (bcStrings (6 "-0.466" y32 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "-0.159" y13 F)) - (bcStrings (6 "-0.268" y23 F)) - (bcStrings (6 "-0.568" y33 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "-0.352" y14 F)) - (bcStrings (6 "-0.454" y24 F)) - (bcStrings (6 "-0.720" y34 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "-0.597" y15 F)) - (bcStrings (6 "-0.682" y25 F)) - (bcStrings (6 "-0.884" y35 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Trignometric coefficients (not required if initial call) ") - (text . "{\it TRIGM}: \newline \tab{2} ") - (bcStrings (6 "0.0" tm1 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tm2 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tm3 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tm4 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tm5 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tm6 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "{\it TRIGN}: \newline \tab{2} ") - (bcStrings (6 "0.0" tn1 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tn2 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tn3 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tn4 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tn5 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tn6 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tn7 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tn8 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tn9 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" tn10 F)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'c06fufGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) - htpSetProperty(page,'init,init) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06fufGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) - init := htpProperty(htPage,'init) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..(2*n) repeat - left := STRCONC((first y).1," ") - y := rest y - trignlist := [left,:trignlist] - trignstring := bcwords2liststring trignlist - for i in 1..(2*m) repeat - left := STRCONC((first y).1," ") - y := rest y - trigmlist := [left,:trigmlist] - trigmstring := bcwords2liststring trigmlist - for i in 1..(m*n) repeat - left := STRCONC((first y).1," ") - y := rest y - ylist := [left,:ylist] - ystring := bcwords2liststring ylist - while y repeat - left := STRCONC((first y).1," ") - y := rest y - xlist := [left,:xlist] - xstring := bcwords2liststring xlist - prefix := STRCONC ('"c06fuf(",STRINGIMAGE m,", ",STRINGIMAGE n,", _"") - prefix := STRCONC(prefix,init,"_",[",xstring,"],[",ystring,"],[",trigmstring) - linkGen STRCONC(prefix,"],[",trignstring,"],",STRINGIMAGE ifail,")") - - - -c06gbf() == - htInitPage('"C06GBF - Complex conjugate of a Hermitian sequence ",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc06gbf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c06gbf| '|NagSeriesSummationPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Forms the complex conjugate of a Hermitian sequence of {\it n} data values") - (text . "\newline ") - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of data values {\it n} ") - (text . "\space{1} \inputbitmap{\htbmdir{}/great=.bitmap} 1 ") - (text . "\newline\tab{2} ") - (bcStrings (5 7 n PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c06gbfSolve) - htShowPage() - -c06gbfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - n = '7 => c06gbfDefaultSolve(htPage,ifail) - labelList := - "append"/[f(i) for i in 1..n] where f(i) == - prefix := ('"\newline \tab{15} ") - rnam := INTERN STRCONC ('"r",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[10, 0.0, rnam, 'F]]] - equationPart := [ - '(domainConditions - (isDomain F (Float))), - :labelList] - page := htInitPage("C06GBF - Complex conjugate of a Hermitian sequence ", htpPropertyList htPage) - htSay '"\menuitemstyle{} \tab{2} " - htSay '"Enter the Hermitian sequence to be transformed stored in Hermitian form: " - htMakePage equationPart - htSay '"\blankline " - htSay '"Note : On exit, the imaginary values are negated " - htSay '"\blankline " - htMakeDoneButton('"Continue",'c06gbfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06gbfDefaultSolve (htPage, ifail) == - n := '7 - page := htInitPage('"C06GBF - Complex conjugate of a Hermitian sequence ", nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the Hermitian sequence to be transformed ") - (text . "stored in Hermitian form: ") - (text . "\newline \tab{15} ") - (bcStrings (10 "0.34907" r1 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "0.54890" r2 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "0.74776" r3 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "0.94459" r4 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "1.13850" r5 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "1.32850" r6 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "1.51370" r7 F)) - (text . "\blankline ") - (text . "Note : On exit, the imaginary values are negated ") - (text . "\blankline ")) - htMakeDoneButton('"Continue",'c06gbfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06gbfGen htPage == - n := htpProperty(htPage,'n) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - while y repeat - left := STRCONC((first y).1," ") - y := rest y - reallist := [left,:reallist] - realstring := bcwords2liststring reallist - linkGen STRCONC ('"c06gbf(",STRINGIMAGE n,",[",realstring,"],",STRINGIMAGE ifail,")") - - -c06gcf() == - htInitPage('"C06GCF - Complex conjugate of complex sequence ",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc06gcf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c06gcf| '|NagSeriesSummationPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "Forms the complex conjugate of a sequence of {\it n} data values") - (text . "\newline ") - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number of data values {\it n} ") - (text . "\space{1} \inputbitmap{\htbmdir{}/great=.bitmap} 1 ") - (text . "\newline\tab{2} ") - (bcStrings (5 7 n PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c06gcfSolve) - htShowPage() - -c06gcfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - n = '7 => c06gcfDefaultSolve(htPage,ifail) - labelList := - "append"/[f(i) for i in 1..n] where f(i) == - prefix := ('"\newline \tab{15} ") - rnam := INTERN STRCONC ('"r",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[10, 0.0, rnam, 'F]]] - equationPart := [ - '(domainConditions - (isDomain F (Float))), - :labelList] - page := htInitPage("C06GCF - Complex conjugate of a Hermitian sequence ", htpPropertyList htPage) - htSay '"\menuitemstyle{} \tab{2} " - htSay '"Enter the imaginary parts of the sequence: " - htMakePage equationPart - htSay '"\blankline " - htSay '"Note : On exit, these values are negated " - htSay '"\blankline " - htMakeDoneButton('"Continue",'c06gcfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06gcfDefaultSolve (htPage, ifail) == - n := '7 - page := htInitPage('"C06GCF - Complex conjugate of complex sequence ", nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the imaginary parts of the sequence: ") - (text . "\newline \tab{15} ") - (bcStrings (10 "-0.37168" r1 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "-0.35669" r2 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "-0.31175" r3 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "-0.23702" r4 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "0.00074" r5 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "0.16298" r6 F)) - (text . "\newline \tab{15} ") - (bcStrings (10 "1.51370" r7 F)) - (text . "\blankline ") - (text . "Note : On exit, these values are negated ") - (text . "\blankline ")) - htMakeDoneButton('"Continue",'c06gcfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06gcfGen htPage == - n := htpProperty(htPage,'n) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - while y repeat - left := STRCONC((first y).1," ") - y := rest y - reallist := [left,:reallist] - realstring := bcwords2liststring reallist - linkGen STRCONC ('"c06gcf(",STRINGIMAGE n,",[",realstring,"],",STRINGIMAGE ifail,")") - -c06gqf() == - htInitPage('"C06GQF - Complex conjugate of multiple Hermitian sequences ",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc06gqf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c06gqf| '|NagSeriesSummationPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Forms the complex conjugates of {\it m} Hermitian sequences, ") - (text . "each containing {\it n} data values. ") - (text . "\newline ") - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number {\it m} \inputbitmap{\htbmdir{}/great=.bitmap} 1 ") - (text . "of sequences to be tranformed: ") - (text . "\newline\tab{2} ") - (bcStrings (5 3 m PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number {\it n} \inputbitmap{\htbmdir{}/great=.bitmap} 1 ") - (text . "of data values in each sequence: ") - (text . "\newline\tab{2} ") - (bcStrings (5 6 n PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c06gqfSolve) - htShowPage() - - -c06gqfSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (m = '3 and n = '6) => c06gqfDefaultSolve(htPage,ifail) - newList:= - "append"/[g(i,m) for i in 1..n] where g(i,n) == - labelList := - "append"/[f(i,j) for j in 1..n] where f(i,j) == - rnam := INTERN STRCONC ('"r",STRINGIMAGE i,STRINGIMAGE j) - [['bcStrings,[6, 0.0, rnam, 'P]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :newList] - page := htInitPage("C06GQF - Complex conjugate of multiple Hermitian sequences ",htpPropertyList htPage) - htSay '"\newline " - htSay '"\menuitemstyle{}\tab{2} Please enter each sequence to be " - htSay '"transformed in Hermitian format. (Each column to contain " - htSay '"a sequence.) " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'c06gqfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -c06gqfDefaultSolve (htPage, ifail) == - m := '3 - n := '6 - page := htInitPage('"C06GQF - Complex conjugate of multiple Hermitian sequences ",htpPropertyList htPage) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Please enter each sequence to be ") - (text . "transformed in Hermitian format. ") - (text . "(Each column to contain a sequence.) ") - (text . "\newline \tab{2} ") - (bcStrings (6 "0.3854" x11 F)) - (bcStrings (6 "0.5417" x21 F)) - (bcStrings (6 "0.9172" x31 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6772" x12 F)) - (bcStrings (6 "0.2983" x22 F)) - (bcStrings (6 "0.0644" x32 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.1138" x13 F)) - (bcStrings (6 "0.1181" x23 F)) - (bcStrings (6 "0.6037" x33 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6751" x14 F)) - (bcStrings (6 "0.7255" x24 F)) - (bcStrings (6 "0.6430" x34 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6362" x15 F)) - (bcStrings (6 "0.8638" x25 F)) - (bcStrings (6 "0.0428" x35 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.1424" x16 F)) - (bcStrings (6 "0.8723" y26 F)) - (bcStrings (6 "0.4815" y36 F)) - (text . "\blankline")) - htMakeDoneButton('"Continue",'c06gqfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06gqfGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - while y repeat - right := STRCONC ((first y).1," ") - y := rest y - reallist := [right,:reallist] - realstring := bcwords2liststring reallist - linkGen STRCONC ('"c06gqf(",STRINGIMAGE m,",",STRINGIMAGE n,",[",realstring,"],", STRINGIMAGE ifail,")") - - - -c06gsf() == - htInitPage('"C06GSF - Convert Hermitian sequences to general complex sequences", nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXc06gsf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c06gsf| '|NagSeriesSummationPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Takes {\it m} Hermitian sequences, each containing {\it n} data values, ") - (text . "and forms the real and imaginary parts of the {\it m} ") - (text . "corresponding complex sequences. \newline ") - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number {\it m} \inputbitmap{\htbmdir{}/great=.bitmap} 1 ") - (text . "of sequences to be transformed: ") - (text . "\newline\tab{2} ") - (bcStrings (5 3 m PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Enter the number {\it n} \inputbitmap{\htbmdir{}/great=.bitmap} 1 ") - (text . "of data values in each sequence: ") - (text . "\newline\tab{2} ") - (bcStrings (5 6 n PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'c06gsfSolve) - htShowPage() - - -c06gsfSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (m = '3 and n = '6) => c06gsfDefaultSolve(htPage,ifail) - newList:= - "append"/[g(i,m) for i in 1..n] where g(i,n) == - labelList := - "append"/[f(i,j) for j in 1..n] where f(i,j) == - rnam := INTERN STRCONC ('"r",STRINGIMAGE i,STRINGIMAGE j) - [['bcStrings,[6, 0.0, rnam, 'P]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :newList] - page := htInitPage("C06GSF - Convert Hermitian sequences to general complex sequences ",htpPropertyList htPage) - htSay '"\newline " - htSay '"\menuitemstyle{}\tab{2} Please enter each sequence to be " - htSay '"transformed in Hermitian format. (Each column to contain a " - htSay '"sequence.) " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'c06gsfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -c06gsfDefaultSolve (htPage, ifail) == - m := '3 - n := '6 - page := htInitPage('"C06GSF - Convert Hermitian sequences to general complex sequences ",htpPropertyList htPage) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Please enter each sequence to be ") - (text . "transformed in Hermitian format. (Each column to contain a ") - (text . "sequence.) ") - (text . "\newline \tab{2} ") - (bcStrings (6 "0.3854" x11 F)) - (bcStrings (6 "0.5417" x21 F)) - (bcStrings (6 "0.9172" x31 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6772" x12 F)) - (bcStrings (6 "0.2983" x22 F)) - (bcStrings (6 "0.0644" x32 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.1138" x13 F)) - (bcStrings (6 "0.1181" x23 F)) - (bcStrings (6 "0.6037" x33 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6751" x14 F)) - (bcStrings (6 "0.7255" x24 F)) - (bcStrings (6 "0.6430" x34 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6362" x15 F)) - (bcStrings (6 "0.8638" x25 F)) - (bcStrings (6 "0.0428" x35 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.1424" x16 F)) - (bcStrings (6 "0.8723" y26 F)) - (bcStrings (6 "0.4815" y36 F)) - (text . "\blankline")) - htMakeDoneButton('"Continue",'c06gsfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -c06gsfGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - while y repeat - right := STRCONC ((first y).1," ") - y := rest y - reallist := [right,:reallist] - realstring := bcwords2liststring reallist - linkGen STRCONC ('"c06gsf(",STRINGIMAGE m,",",STRINGIMAGE n,",[",realstring,"],", STRINGIMAGE ifail,")") - - -@ -\eject -\begin{thebibliography}{99} -\bibitem{1} nothing -\end{thebibliography} -\end{document} |