diff options
Diffstat (limited to 'src/interp/nag-f01.boot.pamphlet')
| -rw-r--r-- | src/interp/nag-f01.boot.pamphlet | 2254 |
1 files changed, 0 insertions, 2254 deletions
diff --git a/src/interp/nag-f01.boot.pamphlet b/src/interp/nag-f01.boot.pamphlet deleted file mode 100644 index 43c8b303..00000000 --- a/src/interp/nag-f01.boot.pamphlet +++ /dev/null @@ -1,2254 +0,0 @@ -\documentclass{article} -\usepackage{axiom} -\begin{document} -\title{\$SPAD/src/interp nag-f01.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" - -f01brf() == - htInitPage("F01BRF - LU factorization of real sparse matrix",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\windowlink{Manual Page}{manpageXXf01brf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f01brf| '|NagMatrixOperationsPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Factorizes a real sparse matrix A of order n. The routine forms ") - (text . "the {\it LU} factorization of the entire matrix, or ,") - (text . "optionally, first permutes the matrix to block lower ") - (text . "triangular form and then only factorizes the diagonal block. ") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the order {\em n} of the matrix A ") - (text . "\htbitmap{great=} 1:") - (text . "\newline\tab{2} ") - (bcStrings (8 6 n PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Number of non-zero elements {\it nz}:") - (text . "\tab{32} \menuitemstyle{}\tab{34}") - (text . "{\it pivot}:") - (text . "\newline \tab{2} ") - (bcStrings (8 15 nz PI)) - (text . "\tab{34} ") - (bcStrings (8 "0.1" pivot PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Dimension of A & ICN {\it licn}:") - (text . "\tab{32} \menuitemstyle{}\tab{34}") - (text . "Dimension of IRN {\it lirn}:") - (text . "\newline \tab{2} ") - (bcStrings (6 150 licn PI)) - (text . "\tab{34} ") - (bcStrings (6 75 lirn PI)) - (text . "\blankline") - (text . "\menuitemstyle{}\tab{2} Grow value:") - (radioButtons grow - ("" " True" gr_true) - ("" " False" gr_false)) - (text . "\blankline") - (text . "\menuitemstyle{}\tab{2} Lblock value:") - (radioButtons lblock - ("" " True" lb_true) - ("" " False" lb_false)) - (text . "\blankline ") - (text . "\newline \tab{2} ") - (text . "Ifail is input in three components: ") - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "{\it a} ") - (radioButtons afail - ("" " 0, hard failure" azero) - ("" " 1, soft failure" aone)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "{\it b} ") - (radioButtons bfail - ("" " 1, print error messages" bone) - ("" " 0, suppress error messages" bzero)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "{\it c} ") - (radioButtons cfail - ("" " 1, print warning messages" cone) - ("" " 0, suppress warning messages" czero))) - htMakeDoneButton('"Continue", 'f01brfSolve) - htShowPage() - -f01brfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - nz := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nz) - objValUnwrap htpLabelSpadValue(htPage, 'nz) - licn := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'licn) - objValUnwrap htpLabelSpadValue(htPage, 'licn) - lirn := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lirn) - objValUnwrap htpLabelSpadValue(htPage, 'lirn) - pivot := htpLabelInputString(htPage, 'pivot) - gr := htpButtonValue(htPage,'grow) - grow := - gr = 'gr_true => '"true" - '"false" - lb := htpButtonValue(htPage,'lblock) - lblock := - lb = 'lb_true => '"true" - '"false" - aerror := htpButtonValue(htPage,'afail) - afail := - aerror = 'azero => '0 - '1 - berror := htpButtonValue(htPage,'bfail) - bfail := - berror = 'bone => '1 - '0 - cerror := htpButtonValue(htPage,'cfail) - cfail := - cerror = 'cone => '1 - '0 - ifail := 100*cfail + 10*bfail + afail - ((n = '6 and nz = '15) and (licn = '150 and lirn = '75)) - => f01brfDefaultSolve(htPage,pivot,grow,lblock,ifail) - labelList := - "append"/[f(i) for i in 1..nz] where f(i) == - prefix := ('"\newline \tab{2} ") - anam := INTERN STRCONC ('"a",STRINGIMAGE i) - mid := ('"\tab{32} ") - rnam := INTERN STRCONC ('"irn",STRINGIMAGE i) - end := ('"\tab{42} ") - cnam := INTERN STRCONC ('"icn",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[8, 0.0, anam, 'F]], - ['text,:mid],['bcStrings,[4, 0, rnam, 'PI]], - ['text,:end],['bcStrings,[4, 0, cnam, 'PI]]] - abortList := - [['bcStrings,[6, '"true", 'abortone, 'EM]], - ['bcStrings,[6, '"true", 'aborttwo, 'EM]], - ['bcStrings,[6, '"false", 'abortthree, 'EM]], - ['bcStrings,[6, '"true", 'abortfour, 'EM]]] - prefix := ('"\blankline \menuitemstyle{}\tab{2} Abort: ") - abortList := [['text,:prefix],:abortList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain EM ($EmptyMode)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :labelList,:abortList] - page := htInitPage("F01BRF - LU factorization of real sparse matrix",nil) - htSay '"\menuitemstyle{}\tab{2} Non-zero elements of A: " - htSay '"\tab{30} \menuitemstyle{}\tab{32} Row: " - htSay '"\tab{40} \menuitemstyle{}\tab{42} Column: " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f01brfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'nz,nz) - htpSetProperty(page,'licn,licn) - htpSetProperty(page,'lirn,lirn) - htpSetProperty(page,'pivot,pivot) - htpSetProperty(page,'grow,grow) - htpSetProperty(page,'lblock,lblock) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -f01brfDefaultSolve(htPage,pivot,grow,lblock,ifail) == - n := '6 - nz := '15 - licn := '150 - lirn := '75 - page := htInitPage("F01BRF - LU factorization of real sparse matrix",nil) - htMakePage '( - (domainConditions - (isDomain PI (Positive Integer)) - (isDomain EM $EmptyMode) - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Non-zero elements of A: ") - (text . "\tab{30} \menuitemstyle{}\tab{32} Row: ") - (text . "\tab{40} \menuitemstyle{}\tab{42} Column: ") - (text . "\newline \tab{2}") - (bcStrings (8 "5.0" a1 F)) - (text . "\tab{32} ") - (bcStrings (4 1 irn1 PI)) - (text . "\tab{42} ") - (bcStrings (4 1 icn1 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "2.0" a2 F)) - (text . "\tab{32} ") - (bcStrings (4 2 irn2 PI)) - (text . "\tab{42} ") - (bcStrings (4 2 icn2 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-1.0" a3 F)) - (text . "\tab{32} ") - (bcStrings (4 2 irn3 PI)) - (text . "\tab{42} ") - (bcStrings (4 3 icn3 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "2.0" a4 F)) - (text . "\tab{32} ") - (bcStrings (4 2 irn4 PI)) - (text . "\tab{42} ") - (bcStrings (4 4 icn4 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "3.0" a5 F)) - (text . "\tab{32} ") - (bcStrings (4 3 irn5 PI)) - (text . "\tab{42} ") - (bcStrings (4 3 icn5 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-2.0" a6 F)) - (text . "\tab{32} ") - (bcStrings (4 4 irn6 PI)) - (text . "\tab{42} ") - (bcStrings (4 1 icn6 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a7 F)) - (text . "\tab{32} ") - (bcStrings (4 4 irn7 PI)) - (text . "\tab{42} ") - (bcStrings (4 4 icn7 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a8 F)) - (text . "\tab{32} ") - (bcStrings (4 4 irn8 PI)) - (text . "\tab{42} ") - (bcStrings (4 5 icn8 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-1.0" a9 F)) - (text . "\tab{32} ") - (bcStrings (4 5 irn9 PI)) - (text . "\tab{42} ") - (bcStrings (4 1 icn9 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-1.0" a10 F)) - (text . "\tab{32} ") - (bcStrings (4 5 irn10 PI)) - (text . "\tab{42} ") - (bcStrings (4 4 icn10 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "2.0" a11 F)) - (text . "\tab{32} ") - (bcStrings (4 5 irn11 PI)) - (text . "\tab{42} ") - (bcStrings (4 5 icn11 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-3.0" a12 F)) - (text . "\tab{32} ") - (bcStrings (4 5 irn12 PI)) - (text . "\tab{42} ") - (bcStrings (4 6 icn12 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-1.0" a13 F)) - (text . "\tab{32} ") - (bcStrings (4 6 irn13 PI)) - (text . "\tab{42} ") - (bcStrings (4 1 icn13 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-1.0" a14 F)) - (text . "\tab{32} ") - (bcStrings (4 6 irn14 PI)) - (text . "\tab{42} ") - (bcStrings (4 2 icn14 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "6.0" a15 F)) - (text . "\tab{32} ") - (bcStrings (4 6 irn15 PI)) - (text . "\tab{42} ") - (bcStrings (4 6 icn15 PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} Abort :") - (bcStrings (8 "true" abort_one EM)) - (bcStrings (8 "true" abort_two EM)) - (bcStrings (8 "false" abort_three EM)) - (bcStrings (8 "true" abort_four EM))) - htMakeDoneButton('"Continue",'f01brfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'nz,nz) - htpSetProperty(page,'licn,licn) - htpSetProperty(page,'lirn,lirn) - htpSetProperty(page,'pivot,pivot) - htpSetProperty(page,'grow,grow) - htpSetProperty(page,'lblock,lblock) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f01brfGen htPage == - n := htpProperty(htPage,'n) - nz := htpProperty(htPage,'nz) - licn := htpProperty(htPage,'licn) - lirn := htpProperty(htPage,'lirn) - pivot := htpProperty(htPage,'pivot) - grow := htpProperty(htPage,'grow) - lblock := htpProperty(htPage,'lblock) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..4 repeat - abort := STRCONC((first y).1," ") - y := rest y - abortList := [abort,:abortList] - astring := bcwords2liststring abortList - while y repeat - end := STRCONC ((first y).1," ") - y := rest y - mid := STRCONC ((first y).1," ") - y := rest y - top := STRCONC ((first y).1," ") - y := rest y - cList := [end,:cList] - rList := [mid,:rList] - matList := [top,:matList] - for i in 1..(licn-nz) repeat - cList := [:cList,'"0 "] - matList := [:matList,'"0 "] - for i in 1..(lirn-nz) repeat - rList := [:rList,'"0 "] - cstring := bcwords2liststring cList - rstring := bcwords2liststring rList - matstring := bcwords2liststring matList - prefix := STRCONC('"f01brf(",STRINGIMAGE n,", ",STRINGIMAGE nz,", ") - prefix := STRCONC(prefix,STRINGIMAGE licn,", ",STRINGIMAGE lirn,", ",pivot) - prefix := STRCONC(prefix,", ",lblock,", ",grow,", ",astring,",[",matstring) - prefix := STRCONC(prefix,"],[",rstring,"],[",cstring,"], ") - linkGen STRCONC(prefix,STRINGIMAGE ifail,")") - -f01bsf() == - htInitPage("F01BSF - LU factorization of real sparse matrix with known sparsity pattern",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\windowlink{Manual Page}{manpageXXf01bsf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f01bsf| '|NagMatrixOperationsPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Factorizes a real sparse matrix A of order n using the pivotal ") - (text . "sequence previously obtained by F01BRF when a matrix of the ") - (text . "same sparsity pattern was factorized. ") - (text . "\blankline ") - (text . "Read the input file to see the example program. ") - (text . "\spadpaste{)read f01bsf \bound{s0}} ") - (text . "\blankline") - (text . "\newline ")) - htShowPage() - -f01maf() == - htInitPage("F01MAF - \htbitmap{llt} factorization of real sparse symmetric positive-definite matrix",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\windowlink{Manual Page}{manpageXXf01maf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f01maf| '|NagMatrixOperationsPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Computes an incomplete Cholesky factorization of a real ") - (text . "sparse symmetric positive-definite matrix A of order n. ") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the order {\em n} of the matrix A ") - (text . "\htbitmap{great=} 1:") - (text . "\newline\tab{2} ") - (bcStrings (8 16 n PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Number of non-zero elements {\it nz}:") - (text . "\newline \tab{2} ") - (bcStrings (8 40 nz PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Dimension of A & ICN {\it licn}:") - (text . "\tab{32} \menuitemstyle{}\tab{34}") - (text . "Dimension of IRN {\it lirn}:") - (text . "\newline \tab{2} ") - (bcStrings (6 90 licn PI)) - (text . "\tab{34} ") - (bcStrings (6 50 lirn PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Tolerance {\it droptl}: ") - (text . "\tab{32} \menuitemstyle{}\tab{34}") - (text . "{\it densw}:") - (text . "\newline \tab{2} ") - (bcStrings (6 "0.1" droptl F)) - (text . "\tab{34} ") - (bcStrings (6 "0.8" densw F)) - (text . "\blankline ") - (text . "\newline \tab{2} ") - (text . "Ifail is input in three components: ") - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "{\it a} ") - (radioButtons afail - ("" " 0, hard failure" azero) - ("" " 1, soft failure" aone)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "{\it b} ") - (radioButtons bfail - ("" " 1, print error messages" bone) - ("" " 0, suppress error messages" bzero)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "{\it c} ") - (radioButtons cfail - ("" " 1, print warning messages" cone) - ("" " 0, suppress warning messages" czero))) - htMakeDoneButton('"Continue", 'f01mafSolve) - htShowPage() - -f01mafSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - nz := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nz) - objValUnwrap htpLabelSpadValue(htPage, 'nz) - licn := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'licn) - objValUnwrap htpLabelSpadValue(htPage, 'licn) - lirn := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lirn) - objValUnwrap htpLabelSpadValue(htPage, 'lirn) - aerror := htpButtonValue(htPage,'afail) - afail := - aerror = 'azero => '0 - '1 - berror := htpButtonValue(htPage,'bfail) - bfail := - berror = 'bone => '1 - '0 - cerror := htpButtonValue(htPage,'cfail) - cfail := - cerror = 'cone => '1 - '0 - ifail := 100*cfail + 10*bfail + afail - droptl := htpLabelInputString(htPage, 'droptl) - densw := htpLabelInputString(htPage, 'densw) - ((n = '16 and nz = '40) and (licn = '90 and lirn = '50)) - => f01mafDefaultSolve(htPage,droptl,densw,ifail) - labelList := - "append"/[f(i) for i in 1..nz] where f(i) == - prefix := ('"\newline \tab{2} ") - anam := INTERN STRCONC ('"a",STRINGIMAGE i) - mid := ('"\tab{32} ") - rnam := INTERN STRCONC ('"irn",STRINGIMAGE i) - end := ('"\tab{42} ") - cnam := INTERN STRCONC ('"icn",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[8, 0.0, anam, 'F]], - ['text,:mid],['bcStrings,[4, 0, rnam, 'PI]], - ['text,:end],['bcStrings,[4, 0, cnam, 'PI]]] - abortList := - [['bcStrings,[6, '"true", 'abortone, 'EM]], - ['bcStrings,[6, '"true", 'aborttwo, 'EM]], - ['bcStrings,[6, '"true", 'abortthree, 'EM]]] - prefix := ('"\blankline \menuitemstyle{}\tab{2} Abort: ") - abortList := [['text,:prefix],:abortList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain EM ($EmptyMode)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :labelList,:abortList] - page := htInitPage("F01MAF - \htbitmap{llt} factorization of real sparse symmetric positive-definite matrix",nil) - htSay '"\menuitemstyle{}\tab{2} Non-zero elements of A: " - htSay '"\tab{30} \menuitemstyle{}\tab{32} Row: " - htSay '"\tab{40} \menuitemstyle{}\tab{42} Column: " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f01mafGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'nz,nz) - htpSetProperty(page,'licn,licn) - htpSetProperty(page,'lirn,lirn) - htpSetProperty(page,'droptl,droptl) - htpSetProperty(page,'densw,densw) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -f01mafDefaultSolve(htPage,droptl,densw,ifail) == - n := '16 - nz := '40 - licn := '90 - lirn := '50 - page := htInitPage("F01MAF - \htbitmap{llt} factorization of real sparse symmetric positive-definite matrix",nil) - htMakePage '( - (domainConditions - (isDomain PI (Positive Integer)) - (isDomain EM $EmptyMode) - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Non-zero elements of A: ") - (text . "\tab{30} \menuitemstyle{}\tab{32} Row: ") - (text . "\tab{40} \menuitemstyle{}\tab{42} Column: ") - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a1 F)) - (text . "\tab{32} ") - (bcStrings (4 1 irn1 PI)) - (text . "\tab{42} ") - (bcStrings (4 1 icn1 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a2 F)) - (text . "\tab{32} ") - (bcStrings (4 2 irn2 PI)) - (text . "\tab{42} ") - (bcStrings (4 2 icn2 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a3 F)) - (text . "\tab{32} ") - (bcStrings (4 3 irn3 PI)) - (text . "\tab{42} ") - (bcStrings (4 3 icn3 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a4 F)) - (text . "\tab{32} ") - (bcStrings (4 4 irn4 PI)) - (text . "\tab{42} ") - (bcStrings (4 4 icn4 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a5 F)) - (text . "\tab{32} ") - (bcStrings (4 5 irn5 PI)) - (text . "\tab{42} ") - (bcStrings (4 5 icn5 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a6 F)) - (text . "\tab{32} ") - (bcStrings (4 6 irn6 PI)) - (text . "\tab{42} ") - (bcStrings (4 6 icn6 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a7 F)) - (text . "\tab{32} ") - (bcStrings (4 7 irn7 PI)) - (text . "\tab{42} ") - (bcStrings (4 7 icn7 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a8 F)) - (text . "\tab{32} ") - (bcStrings (4 8 irn8 PI)) - (text . "\tab{42} ") - (bcStrings (4 8 icn8 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a9 F)) - (text . "\tab{32} ") - (bcStrings (4 9 irn9 PI)) - (text . "\tab{42} ") - (bcStrings (4 9 icn9 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a10 F)) - (text . "\tab{32} ") - (bcStrings (4 10 irn10 PI)) - (text . "\tab{42} ") - (bcStrings (4 10 icn10 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a11 F)) - (text . "\tab{32} ") - (bcStrings (4 11 irn11 PI)) - (text . "\tab{42} ") - (bcStrings (4 11 icn11 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a12 F)) - (text . "\tab{32} ") - (bcStrings (4 12 irn12 PI)) - (text . "\tab{42} ") - (bcStrings (4 12 icn12 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a13 F)) - (text . "\tab{32} ") - (bcStrings (4 13 irn13 PI)) - (text . "\tab{42} ") - (bcStrings (4 13 icn13 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a14 F)) - (text . "\tab{32} ") - (bcStrings (4 14 irn14 PI)) - (text . "\tab{42} ") - (bcStrings (4 14 icn14 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a15 F)) - (text . "\tab{32} ") - (bcStrings (4 15 irn15 PI)) - (text . "\tab{42} ") - (bcStrings (4 15 icn15 PI)) - (text . "\blankline ") - (text . "\newline \tab{2}") - (bcStrings (8 "1.0" a16 F)) - (text . "\tab{32} ") - (bcStrings (4 16 irn16 PI)) - (text . "\tab{42} ") - (bcStrings (4 16 icn16 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a17 F)) - (text . "\tab{32} ") - (bcStrings (4 1 irn17 PI)) - (text . "\tab{42} ") - (bcStrings (4 2 icn17 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a18 F)) - (text . "\tab{32} ") - (bcStrings (4 2 irn18 PI)) - (text . "\tab{42} ") - (bcStrings (4 3 icn18 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a19 F)) - (text . "\tab{32} ") - (bcStrings (4 3 irn19 PI)) - (text . "\tab{42} ") - (bcStrings (4 4 icn19 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a20 F)) - (text . "\tab{32} ") - (bcStrings (4 5 irn20 PI)) - (text . "\tab{42} ") - (bcStrings (4 6 icn20 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a21 F)) - (text . "\tab{32} ") - (bcStrings (4 6 irn21 PI)) - (text . "\tab{42} ") - (bcStrings (4 7 icn21 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a22 F)) - (text . "\tab{32} ") - (bcStrings (4 7 irn22 PI)) - (text . "\tab{42} ") - (bcStrings (4 8 icn22 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a23 F)) - (text . "\tab{32} ") - (bcStrings (4 9 irn23 PI)) - (text . "\tab{42} ") - (bcStrings (4 10 icn23 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a24 F)) - (text . "\tab{32} ") - (bcStrings (4 10 irn24 PI)) - (text . "\tab{42} ") - (bcStrings (4 11 icn24 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a25 F)) - (text . "\tab{32} ") - (bcStrings (4 11 irn25 PI)) - (text . "\tab{42} ") - (bcStrings (4 12 icn25 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a26 F)) - (text . "\tab{32} ") - (bcStrings (4 13 irn26 PI)) - (text . "\tab{42} ") - (bcStrings (4 14 icn26 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a27 F)) - (text . "\tab{32} ") - (bcStrings (4 14 irn27 PI)) - (text . "\tab{42} ") - (bcStrings (4 15 icn27 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a28 F)) - (text . "\tab{32} ") - (bcStrings (4 15 irn28 PI)) - (text . "\tab{42} ") - (bcStrings (4 16 icn28 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a29 F)) - (text . "\tab{32} ") - (bcStrings (4 1 irn29 PI)) - (text . "\tab{42} ") - (bcStrings (4 5 icn29 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a30 F)) - (text . "\tab{32} ") - (bcStrings (4 2 irn30 PI)) - (text . "\tab{42} ") - (bcStrings (4 6 icn30 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a31 F)) - (text . "\tab{32} ") - (bcStrings (4 3 irn31 PI)) - (text . "\tab{42} ") - (bcStrings (4 7 icn31 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a32 F)) - (text . "\tab{32} ") - (bcStrings (4 4 irn32 PI)) - (text . "\tab{42} ") - (bcStrings (4 8 icn32 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a33 F)) - (text . "\tab{32} ") - (bcStrings (4 5 irn33 PI)) - (text . "\tab{42} ") - (bcStrings (4 9 icn33 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a34 F)) - (text . "\tab{32} ") - (bcStrings (4 6 irn34 PI)) - (text . "\tab{42} ") - (bcStrings (4 10 icn34 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a35 F)) - (text . "\tab{32} ") - (bcStrings (4 7 irn35 PI)) - (text . "\tab{42} ") - (bcStrings (4 11 icn35 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a36 F)) - (text . "\tab{32} ") - (bcStrings (4 8 irn36 PI)) - (text . "\tab{42} ") - (bcStrings (4 12 icn36 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a37 F)) - (text . "\tab{32} ") - (bcStrings (4 9 irn37 PI)) - (text . "\tab{42} ") - (bcStrings (4 13 icn37 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a38 F)) - (text . "\tab{32} ") - (bcStrings (4 10 irn38 PI)) - (text . "\tab{42} ") - (bcStrings (4 14 icn38 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a39 F)) - (text . "\tab{32} ") - (bcStrings (4 11 irn39 PI)) - (text . "\tab{42} ") - (bcStrings (4 15 icn39 PI)) - (text . "\newline \tab{2}") - (bcStrings (8 "-0.25" a40 F)) - (text . "\tab{32} ") - (bcStrings (4 12 irn40 PI)) - (text . "\tab{42} ") - (bcStrings (4 16 icn40 PI)) - (text . "\blankline ") - (text . "\menuitemstyle{} \tab{2} Abort :") - (bcStrings (8 "true" abort_one EM)) - (bcStrings (8 "true" abort_two EM)) - (bcStrings (8 "true" abort_three EM))) - htMakeDoneButton('"Continue",'f01mafGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'nz,nz) - htpSetProperty(page,'licn,licn) - htpSetProperty(page,'lirn,lirn) - htpSetProperty(page,'droptl,droptl) - htpSetProperty(page,'densw,densw) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f01mafGen htPage == - n := htpProperty(htPage,'n) - nz := htpProperty(htPage,'nz) - licn := htpProperty(htPage,'licn) - lirn := htpProperty(htPage,'lirn) - droptl := htpProperty(htPage,'droptl) - densw := htpProperty(htPage,'densw) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..3 repeat - abort := STRCONC((first y).1," ") - y := rest y - abortList := [abort,:abortList] - astring := bcwords2liststring abortList - while y repeat - end := STRCONC ((first y).1," ") - y := rest y - mid := STRCONC ((first y).1," ") - y := rest y - top := STRCONC ((first y).1," ") - y := rest y - cList := [end,:cList] - rList := [mid,:rList] - matList := [top,:matList] - for i in 1..(licn-nz) repeat - cList := [:cList,'"0 "] - matList := [:matList,'"0 "] - for i in 1..(lirn-nz) repeat - rList := [:rList,'"0 "] - cstring := bcwords2liststring cList - rstring := bcwords2liststring rList - matstring := bcwords2liststring matList - prefix := STRCONC('"f01maf(",STRINGIMAGE n,", ",STRINGIMAGE nz,", ") - prefix := STRCONC(prefix,STRINGIMAGE licn,", ",STRINGIMAGE lirn,", ") - prefix := STRCONC(prefix,astring,",[",matstring) - prefix := STRCONC(prefix,"],[",rstring,"],[",cstring,"], ",droptl,", ",densw) - linkGen STRCONC(prefix,", ",STRINGIMAGE ifail,")") - - - - -f01mcf() == - htInitPage("F01MCF - \htbitmap{ldlt} factorization of real symmetric positive-definite variable-bandwidth matrix",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\windowlink{Manual Page}{manpageXXf01mcf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f01mcf| '|NagMatrixOperationsPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Computes the Cholesky factorization of a real symmetric positive") - (text . "-definite variable-bandwidth matrix {\it A} or order {\it n}. ") - (text . "That is, {\it A = }\htbitmap{ldlt}, where {\it L} is ") - (text . "a unit lower triangular matrix and {\it D} is a diagonal matrix.") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the order {\em n} of the matrix A ") - (text . "\htbitmap{great=} 1:") - (text . "\newline\tab{2} ") - (bcStrings (9 6 n PI)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\newline Enter the number of elements: ") - (text . "\newline\tab{2} ") - (bcStrings (9 14 lal PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'f01mcfSolve) - htShowPage() - -f01mcfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - lal := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lal) - objValUnwrap htpLabelSpadValue(htPage, 'lal) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (n = '6 and lal = '14) => f01mcfDefaultSolve(htPage,ifail) - labelList := - "append"/[f(i) for i in 1..lal] where f(i) == - xnam := INTERN STRCONC ('"x",STRINGIMAGE i) - [['bcStrings,[6, 0.0, xnam, 'F]]] - nrowList := - "append"/[g(j) for j in 1..n] where g(j) == - nam := INTERN STRCONC ('"n",STRINGIMAGE j) - [['bcStrings,[6, 0, nam, 'PI]]] - prefix := ('"\blankline \menuitemstyle{}\tab{2} {\it NROW(n)} the width ") - prefix := STRCONC(prefix,"of the ith row of A: \newline \tab{2} ") - nrowList := [['text,:prefix],:nrowList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :labelList,:nrowList] - page := htInitPage("F01MCF - \htbitmap{ldlt} factorization of real symmetric positive-definite variable-bandwidth matrix",nil) - htSay '"\menuitemstyle{}\tab{2} Elements of matrix {\it A} in row by row " - htSay '"order: \newline \tab{2} " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f01mcfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'lal,lal) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -f01mcfDefaultSolve (htPage,ifail) == - n := '6 - lal := '14 - page := htInitPage("F01MCF - \htbitmap{ldlt} factorization of real symmetric positive-definite variable-bandwidth matrix",nil) - htMakePage '( - (domainConditions - (isDomain PI (Positive Integer)) - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Elements of matrix {\it A} in row by ") - (text . "row order: ") - (text . "\newline ") - (bcStrings (6 "1.0" x1 F)) - (bcStrings (6 "2.0" x2 F)) - (bcStrings (6 "5.0" x3 F)) - (bcStrings (6 "3.0" x4 F)) - (bcStrings (6 "13.0" x5 F)) - (bcStrings (6 "16.0" x6 F)) - (bcStrings (6 "5.0" x7 F)) - (bcStrings (6 "14.0" x8 F)) - (bcStrings (6 "18.0" x9 F)) - (bcStrings (6 "8.0" x10 F)) - (bcStrings (6 "55.0" x11 F)) - (bcStrings (6 "24.0" x12 F)) - (bcStrings (6 "17.0" x13 F)) - (bcStrings (6 "77.0" x14 F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2} {\it NROW(n)} the width of the ith row ") - (text . "of A: ") - (text . "\newline ") - (bcStrings (6 1 n1 PI)) - (bcStrings (6 2 n2 PI)) - (bcStrings (6 2 n3 PI)) - (bcStrings (6 1 n4 PI)) - (bcStrings (6 5 n5 PI)) - (bcStrings (6 3 n6 PI)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'f01mcfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'lal,lal) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f01mcfGen htPage == - n := htpProperty(htPage,'n) - lal := htpProperty(htPage,'lal) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..n repeat - right := STRCONC ((first y).1," ") - y := rest y - nrowList := [right,:nrowList] - nrowstring := bcwords2liststring nrowList - while y repeat - right := STRCONC ((first y).1," ") - y := rest y - matList := [right,:matList] - matstring := bcwords2liststring matList - prefix := STRCONC('"f01mcf(",STRINGIMAGE n,", [",matstring,"], ") - prefix := STRCONC(prefix,STRINGIMAGE lal,", [",nrowstring,"], ") - linkGen STRCONC(prefix,STRINGIMAGE ifail,")") - - -f01qcf() == - htInitPage('"F01QCF - QR factorization or real m by n matrix (m \htbitmap{great=} n)",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXf01qcf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f01qcf| '|NagMatrixOperationsPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "Finds the QR factorization of a real {\it m} by {it n} ({\it m ") - (text . "\htbitmap{great=} n}) matrix {\it A}, which ") - (text . "is factorized as \htbitmap{f01qcf}, ") - (text . "where {\it m > n} and {\it A = QR } when {\it m = n }, where ") - (text . "{\it Q} is an {\it m} by {\it m } orthogonal matrix and {\it R} ") - (text . "is an {\it n} by {\it n} upper triangular matrix. The {\it k}th ") - (text . "transformation matrix,{\it Qk}, ") - (text . "which is used to introduce zeros into the {\it k}th column of ") - (text . "{\it A}, is given in the form ") - (text . "\htbitmap{f01qcf1}, ") - (text . "where \htbitmap{f01qcf2}, ") - (text . "\htbitmap{f01qcf3}, ") - (text . "\htbitmap{zetak} is a scalar and ") - (text . "\htbitmap{zk} is an (m-k) element vector. ") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline Rows of matrix A, {\it m}: ") - (text . "\tab{32} \menuitemstyle{} \tab{34} ") - (text . "Columns of matrix A, {\it n}: \newline \tab{2} ") - (bcStrings (6 5 m PI)) - (text . "\tab{34} ") - (bcStrings (6 3 n PI)) --- (text . "\blankline ") --- (text . "\newline ") --- (text . "\menuitemstyle{} \tab{2} ") --- (text . "\newline First dimension of A, {\it lda} ") --- (text . "\htbitmap{great=} m: ") --- (text . "\newline \tab{2} ") --- (bcStrings (6 5 lda PI)) - (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", 'f01qcfSolve) - htShowPage() - -f01qcfSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - lda := m --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lda) --- objValUnwrap htpLabelSpadValue(htPage, 'lda) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (m = '5 and n = '3) => f01qcfDefaultSolve(htPage,lda,ifail) - matList := - "append"/[f(i,n) for i in 1..lda] where f(i,n) == - labelList := - "append"/[g(i,j) for j in 1..n] where g(i,j) == - anam := INTERN STRCONC ('"a",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, "0.0", anam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :matList] - page := htInitPage("F01QCF - QR factorization or real m by n matrix (m \htbitmap{great=} n)",nil) - htSay '"\newline \menuitemstyle{}\tab{2} Enter values of {\it A}: " - htSay '"\newline \tab{2} " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f01qcfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'lda,lda) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -f01qcfDefaultSolve (htPage,lda,ifail) == - n := '3 - m := '5 - page := htInitPage('"F01QCF - QR factorization or real m by n matrix (m \htbitmap{great=} n)",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain I (Integer))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it A}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 "2.0" a11 F)) - (bcStrings (6 "2.5" a12 F)) - (bcStrings (6 "2.5" a13 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "2.0" a21 F)) - (bcStrings (6 "2.5" a22 F)) - (bcStrings (6 "2.5" a23 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "1.6" a31 F)) - (bcStrings (6 "-0.4" a32 F)) - (bcStrings (6 "2.8" a33 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "2.0" a41 F)) - (bcStrings (6 "-0.5" a42 F)) - (bcStrings (6 "0.5" a43 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "1.2" a51 F)) - (bcStrings (6 "-0.3" a52 F)) - (bcStrings (6 "-2.9" a53 F))) - htMakeDoneButton('"Continue",'f01qcfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'lda,lda) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f01qcfGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) --- lda := htpProperty(htPage,'lda) - lda := m - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - y := REVERSE y - for i in 1..lda repeat - for j in 1..n repeat - elm := STRCONC((first y).1," ") - rowList := [:rowList,elm] - y := rest y - matform := [:matform,rowList] - rowList := [] - matstring := bcwords2liststring [bcwords2liststring x for x in matform] - prefix := STRCONC('"f01qcf(",STRINGIMAGE m,", ",STRINGIMAGE n,", ") - prefix := STRCONC(prefix,STRINGIMAGE lda,", ",matstring,", ") - prefix := STRCONC(prefix,STRINGIMAGE ifail,")") - linkGen prefix - -f01qdf() == - htInitPage('"F01QDF - Operations with orthogonal matrices, compute {\it QB} or \htbitmap{f01qdf} after factorization by F01QCF or F01QDF",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXf01qdf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f01qdf| '|NagMatrixOperationsPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "Performs one of the transformations {\it B = QB or B = }") - (text . "\htbitmap{f01qdf}, where {\it B} is a real {\it m} ") - (text . "by {\it ncolb} matrix and {\it Q} is an {\it m} by {\it m} ") - (text . "orthogonal matrix assumed to be given by {\it Q = }") - (text . "\htbitmap{f01qdf1}, \htbitmap{f01qdf2} ") - (text . "being given in the form ") - (text . "\htbitmap{f01qcf1}, ") - (text . "where \htbitmap{f01qcf2}, ") - (text . "\htbitmap{f01qcf3}, ") - (text . "\htbitmap{zetak} is a scalar and ") - (text . "\htbitmap{zk} is an (m-k) element vector. ") - (text . "The routine is intended for use following F01QCF or F01QFF. ") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline Rows of matrix A, {\it m}: ") - (text . "\tab{32} \menuitemstyle{} \tab{34} ") - (text . "Columns of matrix A, {\it n}: \newline \tab{2} ") - (bcStrings (6 5 m PI)) - (text . "\tab{34} ") - (bcStrings (6 3 n PI)) --- (text . "\blankline ") --- (text . "\newline ") --- (text . "\menuitemstyle{} \tab{2} ") --- (text . "\newline First dimension of A, {\it lda} ") --- (text . "\htbitmap{great=} m: ") --- (text . "\tab{32} \menuitemstyle{} \tab{34} ") --- (text . "First dimension of B, {\it ldb} ") --- (text . "\htbitmap{great=} m: ") --- (text . "\newline \tab{2} ") --- (bcStrings (6 5 lda PI)) --- (text . "\tab{34} ") --- (bcStrings (6 5 ldb PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Number of columns of matrix B {\it ncolb}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 2 ncolb PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Transformation to be performed: ") - (radioButtons trans - (" " " {\it B = QB}" no_trans) - (" " " {\it B =} \htbitmap{f01qdf}" trans)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Where the elements can be found: ") - (radioButtons wheret - (" " " the elements of \zeta are in A" in_a) - (" " " the elements of \zeta are in ZETA, returned by F01QCF/F01QFF" seperate)) - (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", 'f01qdfSolve) - htShowPage() - -f01qdfSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - lda := m --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lda) --- objValUnwrap htpLabelSpadValue(htPage, 'lda) - ldb := m --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ldb) --- objValUnwrap htpLabelSpadValue(htPage, 'ldb) - ncolb := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ncolb) - objValUnwrap htpLabelSpadValue(htPage, 'ncolb) - operation := htpButtonValue(htPage,'trans) - trans := - operation = 'no_trans => '"n" - '"t" - elements := htpButtonValue(htPage,'wheret) - wheret := - elements = 'in_a => '"i" - '"s" - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - ((m = '5 and n = '3) and ncolb = '2) => f01qdfDefaultSolve(htPage,lda,ldb,trans,wheret,ifail) - matList := - "append"/[fa(i,n) for i in 1..lda] where fa(i,n) == - labelList := - "append"/[ga(i,j) for j in 1..n] where ga(i,j) == - anam := INTERN STRCONC ('"a",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, "0.0", anam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - bList := - "append"/[fb(i,ncolb) for i in 1..ldb] where fb(i,ncolb) == - labelList := - "append"/[gb(i,j) for j in 1..ncolb] where gb(i,j) == - bnam := INTERN STRCONC ('"b",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, "0.0", bnam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - prefix := ("\blankline \menuitemstyle{}\tab{2} Enter values of {\it B}: ") - bList := [['text,:prefix],:bList] - zList := - "append"/[fz(i) for i in 1..n] where fz(i) == - znam := INTERN STRCONC ('"z",STRINGIMAGE i) - [['bcStrings,[6, "0.0", znam, 'F]]] - prefix := ("\blankline \menuitemstyle{}\tab{2} Enter values of \zeta ") - prefix := STRCONC(prefix,"(if required): \newline \tab{2}") - zList := [['text,:prefix],:zList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :matList,:bList,:zList] - page := htInitPage('"F01QDF - Operations with orthogonal matrices, compute {\it QB} or \htbitmap{f01qdf} after factorization by F01QCF or F01QDF",nil) - htSay '"\newline \menuitemstyle{}\tab{2} Enter values of {\it A}: " - htSay '"\newline \tab{2} " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f01qdfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'lda,lda) --- htpSetProperty(page,'ldb,ldb) - htpSetProperty(page,'ncolb,ncolb) - htpSetProperty(page,'trans,trans) - htpSetProperty(page,'wheret,wheret) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -f01qdfDefaultSolve (htPage,lda,ldb,trans,wheret,ifail) == - n := '3 - m := '5 - ncolb := '2 - page := htInitPage('"F01QDF - Operations with orthogonal matrices, compute {\it QB} or \htbitmap{f01qdf} after factorization by F01QCF or F01QDF",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain I (Integer))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it A}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 "2.0" a11 F)) - (bcStrings (6 "2.5" a12 F)) - (bcStrings (6 "2.5" a13 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "2.0" a21 F)) - (bcStrings (6 "2.5" a22 F)) - (bcStrings (6 "2.5" a23 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "1.6" a31 F)) - (bcStrings (6 "-0.4" a32 F)) - (bcStrings (6 "2.8" a33 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "2.0" a41 F)) - (bcStrings (6 "-0.5" a42 F)) - (bcStrings (6 "0.5" a43 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "1.2" a51 F)) - (bcStrings (6 "-0.3" a52 F)) - (bcStrings (6 "-2.9" a53 F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it B}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 "1.1" b11 F)) - (bcStrings (6 "0.0" b12 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.9" b21 F)) - (bcStrings (6 "0.0" b22 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.6" b31 F)) - (bcStrings (6 "1.32" b32 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" b41 F)) - (bcStrings (6 "1.1" b42 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "-0.8" b51 F)) - (bcStrings (6 "-0.26" b52 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of \zeta (if required): ") - (text . "\newline \tab{2} ") - (bcStrings (10 "0.0" z1 F)) - (bcStrings (10 "0.0" z2 F)) - (bcStrings (10 "0.0" z3 F)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'f01qdfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'lda,lda) --- htpSetProperty(page,'ldb,ldb) - htpSetProperty(page,'ncolb,ncolb) - htpSetProperty(page,'trans,trans) - htpSetProperty(page,'wheret,wheret) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f01qdfGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) --- lda := htpProperty(htPage,'lda) --- ldb := htpProperty(htPage,'ldb) - lda := m - ldb := m - ncolb := htpProperty(htPage,'ncolb) - trans := htpProperty(htPage,'trans) - wheret := htpProperty(htPage,'wheret) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..n repeat - left := STRCONC((first y).1," ") - y := rest y - zetalist := [left,:zetalist] - zetastring := bcwords2liststring zetalist - y := REVERSE y - for i in 1..lda repeat - for j in 1..n repeat - elm := STRCONC((first y).1," ") - rowList := [:rowList,elm] - y := rest y - matform := [:matform,rowList] - rowList := [] - matstring := bcwords2liststring [bcwords2liststring x for x in matform] - for i in 1..ldb repeat - for j in 1..ncolb repeat - elm := STRCONC((first y).1," ") - rowList := [:rowList,elm] - y := rest y - bform := [:bform,rowList] - rowList := [] - bstring := bcwords2liststring [bcwords2liststring x for x in bform] - prefix := STRCONC('"f01qdf(_"",trans,"_",_"",wheret,"_",",STRINGIMAGE m,", ") - prefix := STRCONC(prefix,STRINGIMAGE n,", ",matstring,", ",STRINGIMAGE lda) - prefix := STRCONC(prefix,",[",zetastring,"],",STRINGIMAGE ncolb,", ") - prefix := STRCONC(prefix,STRINGIMAGE ldb,", ",bstring,", ",STRINGIMAGE ifail,")") - linkGen prefix - - -f01qef() == - htInitPage('"F01QEF - Operations with orthogonal matrices, form columns of {\it Q} after factorization by F01QCF or F01QFF",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXf01qef} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f01qef| '|NagMatrixOperationsPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "Returns the first {\it ncolq} columns of the real {\it m} by ") - (text . "{\it n} orthogonal matrix {\it Q}, where {\it Q} is assumed ") - (text . "to be given by {\it Q = }\htbitmap{f01qdf1}, ") - (text . "\htbitmap{f01qdf2} being given in the form ") - (text . "\htbitmap{f01qcf1}, ") - (text . "where \htbitmap{f01qcf2}, ") - (text . "\htbitmap{f01qcf3}, ") - (text . "\htbitmap{zetak} is a scalar and ") - (text . "\htbitmap{zk} is an (m-k) element vector. ") - (text . "The routine is intended for use following F01QCF or F01QFF. ") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline Rows of matrix A, {\it m}: ") - (text . "\tab{32} \menuitemstyle{} \tab{34} ") - (text . "Columns of matrix A, {\it n}: \newline \tab{2} ") - (bcStrings (6 5 m PI)) - (text . "\tab{34} ") - (bcStrings (6 3 n PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") --- (text . "\newline First dimension of A, {\it lda} ") --- (text . "\htbitmap{great=} m: ") --- (text . "\tab{32} \menuitemstyle{} \tab{34} ") - (text . "Number columns of matrix Q {\it ncolq}: ") - (text . "\newline \tab{2} ") --- (bcStrings (6 5 lda PI)) --- (text . "\tab{34} ") - (bcStrings (6 5 ncolq PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Where the elements can be found: ") - (radioButtons wheret - (" " " the elements of \zeta are in ZETA, returned by F01QCF/F01QFF" subsequent) - (" " " the elements of \zeta are in A" initial)) - (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", 'f01qefSolve) - htShowPage() - -f01qefSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - lda := m --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lda) --- objValUnwrap htpLabelSpadValue(htPage, 'lda) - ncolq := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ncolq) - objValUnwrap htpLabelSpadValue(htPage, 'ncolq) - elements := htpButtonValue(htPage,'wheret) - wheret := - elements = 'initial => '"i" - '"s" - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - ((m = '5 and n = '3) and ncolq = '5) => f01qefDefaultSolve(htPage,lda,wheret,ifail) - matList := - "append"/[fa(i,ncolq) for i in 1..lda] where fa(i,ncolq) == - labelList := - "append"/[ga(i,j) for j in 1..ncolq] where ga(i,j) == - anam := INTERN STRCONC ('"a",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[7, "0.0", anam, 'F]]] - prefix := ('"\newline ") - labelList := [['text,:prefix],:labelList] - zList := - "append"/[fz(i) for i in 1..n] where fz(i) == - znam := INTERN STRCONC ('"z",STRINGIMAGE i) - [['bcStrings,[7, "0.0", znam, 'F]]] - prefix := ("\blankline \menuitemstyle{}\tab{2} Enter values of \zeta ") - prefix := STRCONC(prefix,"(if required): \newline ") - zList := [['text,:prefix],:zList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :matList,:zList] - page := htInitPage('"F01QEF - Operations with orthogonal matrices, form columns of {\it Q} after factorization by F01QCF or F01QFF",nil) - htSay '"\newline \menuitemstyle{}\tab{2} Enter values of {\it Q}: " - htSay '"\newline " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f01qefGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'lda,lda) - htpSetProperty(page,'ncolq,ncolq) - htpSetProperty(page,'wheret,wheret) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -f01qefDefaultSolve (htPage,lda,wheret,ifail) == - n := '3 - m := '5 - ncolq := '5 - page := htInitPage('"F01QEF - Operations with orthogonal matrices, form columns of {\it Q} after factorization by F01QCF or F01QFF",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain I (Integer))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it Q}") - (text . "(in this case returned by the default entries of F01QCF) : ") - (text . "\newline ") - (bcStrings (7 "-4.0" a11 F)) - (bcStrings (7 "-2.0" a12 F)) - (bcStrings (7 "-3.0" a13 F)) - (bcStrings (7 "0.0" a14 F)) - (bcStrings (7 "0.0" a15 F)) - (text . "\newline ") - (bcStrings (7 "0.4085" a21 F)) - (bcStrings (7 "-3.0" a22 F)) - (bcStrings (7 "-2.0" a23 F)) - (bcStrings (7 "0.0" a24 F)) - (bcStrings (7 "0.0" a25 F)) - (text . "\newline ") - (bcStrings (7 "0.3266" a31 F)) - (bcStrings (7 "-0.4619" a32 F)) - (bcStrings (7 "-4.0" a33 F)) - (bcStrings (7 "0.0" a34 F)) - (bcStrings (7 "0.0" a35 F)) - (text . "\newline ") - (bcStrings (7 "0.4082" a41 F)) - (bcStrings (7 "-0.5774" a42 F)) - (bcStrings (7 "0.0" a43 F)) - (bcStrings (7 "0.0" a44 F)) - (bcStrings (7 "0.0" a45 F)) - (text . "\newline ") - (bcStrings (7 "0.2449" a51 F)) - (bcStrings (7 "-0.3464" a52 F)) - (bcStrings (7 "-0.6326" a53 F)) - (bcStrings (7 "0.0" a54 F)) - (bcStrings (7 "0.0" a55 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of \zeta: ") - (text . "\newline ") - (bcStrings (10 "1.2247" z1 F)) - (bcStrings (10 "1.1547" z2 F)) - (bcStrings (10 "1.2649" z3 F)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'f01qefGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'lda,lda) - htpSetProperty(page,'ncolq,ncolq) - htpSetProperty(page,'wheret,wheret) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f01qefGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) --- lda := htpProperty(htPage,'lda) - lda := m - ncolq := htpProperty(htPage,'ncolq) - wheret := htpProperty(htPage,'wheret) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..n repeat - left := STRCONC((first y).1," ") - y := rest y - zetalist := [left,:zetalist] - zetastring := bcwords2liststring zetalist - y := REVERSE y - for i in 1..lda repeat - for j in 1..ncolq repeat - elm := STRCONC((first y).1," ") - rowList := [:rowList,elm] - y := rest y - matform := [:matform,rowList] - rowList := [] - matstring := bcwords2liststring [bcwords2liststring x for x in matform] - prefix := STRCONC('"f01qef(_"",wheret,"_",",STRINGIMAGE m,", ") - prefix := STRCONC(prefix,STRINGIMAGE n,", ",STRINGIMAGE lda,", ") - prefix := STRCONC(prefix,STRINGIMAGE ncolq,",[",zetastring,"],") - prefix := STRCONC(prefix,matstring,", ",STRINGIMAGE ifail,")") - linkGen prefix - -f01rcf() == - htInitPage('"F01RCF - {\it QR} factorization of complex {\it m} by {\it n} matrix (m \htbitmap{great=} n)",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXf01rcf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f01rcf| '|NagMatrixOperationsPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "Finds the QR factorization of the complex m by n matrix {\it A},") - (text . " which is factorized as \htbitmap{f01qcf}, where m > n") - (text . " and A = QR when m = n , where Q is an m by m unitary matrix ") - (text . "and R is an n by n upper triangular matrix with real diagonal ") - (text . "elements. The {\it k}th transformation matrix,{\it Qk}, ") - (text . "which is used to introduce zeros into the {\it k}th column of ") - (text . "{\it A}, is given in the form ") - (text . "\htbitmap{f01qcf1}, ") - (text . "where \htbitmap{f01rdf2}, ") - (text . "\htbitmap{f01qcf3}, ") - (text . "\htbitmap{gammak} is a scalar for which Re ") - (text . "\htbitmap{gammak} = 1.0, \htbitmap{zetak} ") - (text . "is a real scalar and \htbitmap{zk} is an ") - (text . "(m-k) element vector. ") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline Rows of matrix A, {\it m}: ") - (text . "\tab{32} \menuitemstyle{} \tab{34} ") - (text . "Columns of matrix A, {\it n}: \newline \tab{2} ") - (bcStrings (6 5 m PI)) - (text . "\tab{34} ") - (bcStrings (6 3 n PI)) --- (text . "\blankline ") --- (text . "\newline ") --- (text . "\menuitemstyle{} \tab{2} ") --- (text . "\newline First dimension of A, {\it lda} ") --- (text . "\htbitmap{great=} m: ") --- (text . "\newline \tab{2} ") --- (bcStrings (6 5 lda PI)) - (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", 'f01rcfSolve) - htShowPage() - -f01rcfSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - lda := m --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lda) --- objValUnwrap htpLabelSpadValue(htPage, 'lda) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (m = '5 and n = '3) => f01rcfDefaultSolve(htPage,ifail) - matList := - "append"/[fa(i,n) for i in 1..lda] where fa(i,n) == - labelList := - "append"/[ga(i,j) for j in 1..n] where ga(i,j) == - anam := INTERN STRCONC ('"a",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[16, "0.0 + 0.0*%i", anam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :matList] - page := htInitPage('"F01RCF - {\it QR} factorization of complex {\it m} by {\it n} matrix (m \htbitmap{great=} n)",nil) - htSay '"\newline \menuitemstyle{}\tab{2} Enter values of {\it A}: " - htSay '"\newline \tab{2} " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f01rcfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'lda,lda) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -f01rcfDefaultSolve (htPage,ifail) == - n := '3 - m := '5 - lda := '5 - page := htInitPage('"F01RCF - {\it QR} factorization of complex {\it m} by {\it n} matrix (m \htbitmap{great=} n)",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain I (Integer))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it A}: ") - (text . "\newline \tab{2} ") - (bcStrings (15 "0.5*%i" a11 F)) - (bcStrings (15 "-0.5 + 1.5*%i" a12 F)) - (bcStrings (15 "-1.0 + 1.0*%i" a13 F)) - (text . "\newline \tab{2} ") - (bcStrings (15 "0.4 + 0.3*%i" a21 F)) - (bcStrings (15 "0.9 + 1.3*%i" a22 F)) - (bcStrings (15 "0.2 + 1.4*%i" a23 F)) - (text . "\newline \tab{2} ") - (bcStrings (15 "0.4" a31 F)) - (bcStrings (15 "-0.4 + 0.4*%i" a32 F)) - (bcStrings (15 "1.8" a33 F)) - (text . "\newline \tab{2} ") - (bcStrings (15 "0.3 - 0.4*%i" a41 F)) - (bcStrings (15 "0.1 + 0.7*%i" a42 F)) - (bcStrings (15 "0.0" a43 F)) - (text . "\newline \tab{2} ") - (bcStrings (15 "-0.3*%i" a51 F)) - (bcStrings (15 "0.3 + 0.3*%i" a52 F)) - (bcStrings (15 "2.4*%i" a53 F)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'f01rcfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'lda,lda) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f01rcfGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) --- lda := htpProperty(htPage,'lda) - lda := m - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - y := REVERSE y - for i in 1..lda repeat - for j in 1..n repeat - elm := STRCONC((first y).1," ") - rowList := [:rowList,elm] - y := rest y - matform := [:matform,rowList] - rowList := [] - matstring := bcwords2liststring [bcwords2liststring x for x in matform] - prefix := STRCONC('"f01rcf(",STRINGIMAGE m,", ",STRINGIMAGE n,", ") - prefix := STRCONC(prefix,STRINGIMAGE lda,", ",matstring) - linkGen STRCONC(prefix,", ",STRINGIMAGE ifail,")") - -f01rdf() == - htInitPage('"F01RDF - Operations with unitary matrices, compute {\it QB} or \htbitmap{f01rdf} after factorization by F01QCF",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXf01rdf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f01rdf| '|NagMatrixOperationsPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "Performs one of the transformations B = QB or B = ") - (text . "\htbitmap{f01rdf}, where B is an m ") - (text . "by ncolb matrix and Q is an m by m ") - (text . "unitary matrix assumed to be given by Q = ") - (text . "\htbitmap{f01rdf1}, \htbitmap{f01qdf2} ") - (text . "being given in the form \htbitmap{f01qcf1}, ") - (text . "where \htbitmap{f01rdf2}, \htbitmap{f01qcf3}") - (text . ", \htbitmap{gammak} is a scalar for which Re ") - (text . "\htbitmap{gammak} = 1.0, \htbitmap{zetak} ") - (text . "is a real scalar and \htbitmap{zk} is an ") - (text . "(m-k) element vector. ") - (text . "The routine is intended for use following F01QCF or F01QFF. ") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline Rows of matrix A, {\it m}: ") - (text . "\tab{32} \menuitemstyle{} \tab{34} ") - (text . "Columns of matrix A, {\it n}: \newline \tab{2} ") - (bcStrings (6 5 m PI)) - (text . "\tab{34} ") - (bcStrings (6 3 n PI)) --- (text . "\blankline ") --- (text . "\newline ") --- (text . "\menuitemstyle{} \tab{2} ") --- (text . "\newline First dimension of A, {\it lda} ") --- (text . "\htbitmap{great=} m: ") --- (text . "\tab{32} \menuitemstyle{} \tab{34} ") --- (text . "First dimension of B, {\it ldb} ") --- (text . "\htbitmap{great=} m: ") --- (text . "\newline \tab{2} ") --- (bcStrings (6 5 lda PI)) --- (text . "\tab{34} ") --- (bcStrings (6 5 ldb PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Number of columns of matrix B {\it ncolb}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 2 ncolb PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Transformation to be performed: ") - (radioButtons trans - (" " " {\it B = QB}" no_trans) - (" " " {\it B =} \htbitmap{f01rdf} (Conjugate Transpose)" trans)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Where the elements can be found: ") - (radioButtons wheret - (" " " the elements of \theta are in A" in_a) - (" " " the elements of \theta are in THETA" seperate)) - (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", 'f01rdfSolve) - htShowPage() - -f01rdfSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - lda := m --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lda) --- objValUnwrap htpLabelSpadValue(htPage, 'lda) - ldb := m --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ldb) --- objValUnwrap htpLabelSpadValue(htPage, 'ldb) - ncolb := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ncolb) - objValUnwrap htpLabelSpadValue(htPage, 'ncolb) - operation := htpButtonValue(htPage,'trans) - trans := - operation = 'no_trans => '"n" - '"c" - elements := htpButtonValue(htPage,'wheret) - wheret := - elements = 'in_a => '"i" - '"c" - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - ((m = '5 and n = '3) and ncolb = '2) => f01rdfDefaultSolve(htPage,lda,ldb,trans,wheret,ifail) - matList := - "append"/[fa(i,n) for i in 1..lda] where fa(i,n) == - labelList := - "append"/[ga(i,j) for j in 1..n] where ga(i,j) == - anam := INTERN STRCONC ('"a",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[16, "0.0 + 0.0*%i", anam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - bList := - "append"/[fb(i,ncolb) for i in 1..ldb] where fb(i,ncolb) == - labelList := - "append"/[gb(i,j) for j in 1..ncolb] where gb(i,j) == - bnam := INTERN STRCONC ('"b",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[16, "0.0 + 0.0*%i", bnam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - prefix := ("\blankline \menuitemstyle{}\tab{2} Enter values of {\it B}: ") - bList := [['text,:prefix],:bList] - zList := - "append"/[fz(i) for i in 1..n] where fz(i) == - znam := INTERN STRCONC ('"z",STRINGIMAGE i) - [['bcStrings,[16, "0.0", znam, 'F]]] - prefix := ("\blankline \menuitemstyle{}\tab{2} Enter values of \theta ") - prefix := STRCONC(prefix,"(if required): \newline \tab{2}") - zList := [['text,:prefix],:zList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :matList,:bList,:zList] - page := htInitPage('"F01RDF - Operations with orthogonal matrices, compute {\it QB} or \htbitmap{f01rdf} after factorization by F01QCF or F01RDF",nil) - htSay '"\newline \menuitemstyle{}\tab{2} Enter values of {\it A}: " - htSay '"\newline \tab{2} " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f01rdfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'lda,lda) --- htpSetProperty(page,'ldb,ldb) - htpSetProperty(page,'ncolb,ncolb) - htpSetProperty(page,'trans,trans) - htpSetProperty(page,'wheret,wheret) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -f01rdfDefaultSolve (htPage,lda,ldb,trans,wheret,ifail) == - n := '3 - m := '5 - ncolb := '2 - page := htInitPage('"F01RDF - Operations with orthogonal matrices, compute {\it QB} or \htbitmap{f01rdf} after factorization by F01QCF or F01RDF",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain I (Integer))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it A}: ") - (text . "\newline \tab{2} ") - (bcStrings (15 "0.5*%i" a11 F)) - (bcStrings (15 "-0.5 + 1.5*%i" a12 F)) - (bcStrings (15 "-1.0 + 1.0*%i" a13 F)) - (text . "\newline \tab{2} ") - (bcStrings (15 "0.4 + 0.3*%i" a21 F)) - (bcStrings (15 "0.9 + 1.3*%i" a22 F)) - (bcStrings (15 "0.2 + 1.4*%i" a23 F)) - (text . "\newline \tab{2} ") - (bcStrings (15 "0.4" a31 F)) - (bcStrings (15 "-0.4 + 0.4*%i" a32 F)) - (bcStrings (15 "1.8" a33 F)) - (text . "\newline \tab{2} ") - (bcStrings (15 "0.3 - 0.4*%i" a41 F)) - (bcStrings (15 "0.1 + 0.7*%i" a42 F)) - (bcStrings (15 "0.0" a43 F)) - (text . "\newline \tab{2} ") - (bcStrings (15 "-0.3*%i" a51 F)) - (bcStrings (15 "0.3 + 0.3*%i" a52 F)) - (bcStrings (15 "2.4" a53 F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it B}: ") - (text . "\newline \tab{2} ") - (bcStrings (15 "-0.55 + 1.05*%i" b11 F)) - (bcStrings (15 "0.45 + 1.05*%i" b12 F)) - (text . "\newline \tab{2} ") - (bcStrings (15 "0.49 + 0.93*%i" b21 F)) - (bcStrings (15 "1.09 + 0.13*%i" b22 F)) - (text . "\newline \tab{2} ") - (bcStrings (15 "0.56 - 0.16*%i" b31 F)) - (bcStrings (15 "0.64 + 0.16*%i" b32 F)) - (text . "\newline \tab{2} ") - (bcStrings (15 "0.39 + 0.23*%i" b41 F)) - (bcStrings (15 "-0.39 - 0.23*%i" b42 F)) - (text . "\newline \tab{2} ") - (bcStrings (15 "1.13 + 0.83*%i" b51 F)) - (bcStrings (15 "-1.13 + 0.77*%i" b52 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of \theta (if required): ") - (text . "\newline \tab{2} ") - (bcStrings (15 "0.0" z1 F)) - (bcStrings (15 "0.0" z2 F)) - (bcStrings (15 "0.0" z3 F)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'f01rdfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'lda,lda) --- htpSetProperty(page,'ldb,ldb) - htpSetProperty(page,'ncolb,ncolb) - htpSetProperty(page,'trans,trans) - htpSetProperty(page,'wheret,wheret) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f01rdfGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) --- lda := htpProperty(htPage,'lda) --- ldb := htpProperty(htPage,'ldb) - lda := m - ldb := m - ncolb := htpProperty(htPage,'ncolb) - trans := htpProperty(htPage,'trans) - wheret := htpProperty(htPage,'wheret) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..n repeat - left := STRCONC((first y).1," ") - y := rest y - zetalist := [left,:zetalist] - zetastring := bcwords2liststring zetalist - y := REVERSE y - for i in 1..lda repeat - for j in 1..n repeat - elm := STRCONC((first y).1," ") - rowList := [:rowList,elm] - y := rest y - matform := [:matform,rowList] - rowList := [] - matstring := bcwords2liststring [bcwords2liststring x for x in matform] - for i in 1..ldb repeat - for j in 1..ncolb repeat - elm := STRCONC((first y).1," ") - rowList := [:rowList,elm] - y := rest y - bform := [:bform,rowList] - rowList := [] - bstring := bcwords2liststring [bcwords2liststring x for x in bform] - prefix := STRCONC('"f01rdf(_"",trans,"_",_"",wheret,"_",",STRINGIMAGE m,", ") - prefix := STRCONC(prefix,STRINGIMAGE n,", ",matstring,", ",STRINGIMAGE lda) - prefix := STRCONC(prefix,",[",zetastring,"],",STRINGIMAGE ncolb,", ") - prefix := STRCONC(prefix,STRINGIMAGE ldb,", ",bstring,", ",STRINGIMAGE ifail,")") - linkGen prefix - - -f01ref() == - htInitPage('"F01REF - Operations with unitary matrices, form columns of {\it Q} after factorization by F01RCF",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXf01ref} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f01ref| '|NagMatrixOperationsPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "Returns the first {\it ncolq} columns of the real {\it m} by ") - (text . "{\it m} unitary matrix {\it Q}, where {\it Q} is assumed ") - (text . "to be given by {\it Q = }\htbitmap{f01rdf1}, ") - (text . "\htbitmap{f01qdf2} being given in the form ") - (text . "\htbitmap{f01qcf1}, ") - (text . "where \htbitmap{f01rdf2}, ") - (text . "\htbitmap{f01qcf3}, ") - (text . "\htbitmap{gammak} is a scalar for which Re ") - (text . "\htbitmap{gammak} = 1.0, \htbitmap{zetak} ") - (text . "is a real scalar and \htbitmap{zk} is an ") - (text . "(m-k) element vector. ") - (text . "The routine is intended for use following F01RCF or F01RFF. ") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline Rows of matrix A, {\it m}: ") - (text . "\tab{32} \menuitemstyle{} \tab{34} ") - (text . "Columns of matrix A, {\it n}: \newline \tab{2} ") - (bcStrings (6 5 m PI)) - (text . "\tab{34} ") - (bcStrings (6 3 n PI)) --- (text . "\blankline ") --- (text . "\newline ") --- (text . "\menuitemstyle{} \tab{2} ") --- (text . "\newline First dimension of A, {\it lda} ") --- (text . "\htbitmap{great=} m: ") --- (text . "\newline \tab{2} ") --- (bcStrings (6 5 lda PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Required number of columns of matrix Q {\it ncolq}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 2 ncolq PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Where the elements can be found: ") - (radioButtons wheret - (" " " the elements of \theta are in THETA" seperate) - (" " " the elements of \theta are in A" in_a)) - (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", 'f01refSolve) - htShowPage() - -f01refSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - lda := m --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lda) --- objValUnwrap htpLabelSpadValue(htPage, 'lda) - ncolq := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ncolq) - objValUnwrap htpLabelSpadValue(htPage, 'ncolq) - elements := htpButtonValue(htPage,'wheret) - wheret := - elements = 'in_a => '"i" - '"s" - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - ((m = '5 and n = '3) and ncolq = '2) => f01refDefaultSolve(htPage,lda,wheret,ifail) - matList := - "append"/[fa(i,n) for i in 1..lda] where fa(i,n) == - labelList := - "append"/[ga(i,j) for j in 1..n] where ga(i,j) == - anam := INTERN STRCONC ('"a",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[20, "0.0 + 0.0*%i", anam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - zList := - "append"/[fz(i) for i in 1..n] where fz(i) == - znam := INTERN STRCONC ('"z",STRINGIMAGE i) - [['bcStrings,[20, "0.0", znam, 'F]]] - prefix := ("\blankline \menuitemstyle{}\tab{2} Enter values of \theta ") - prefix := STRCONC(prefix,"(if required): \newline \tab{2}") - zList := [['text,:prefix],:zList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :matList,:zList] - page := htInitPage('"F01REF - Operations with unitary matrices, form columns of {\it Q} after factorization by F01RCF",nil) - htSay '"\newline \menuitemstyle{}\tab{2} Enter values of {\it A}: " - htSay '"\newline \tab{2} " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f01refGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'lda,lda) - htpSetProperty(page,'ncolq,ncolq) - htpSetProperty(page,'wheret,wheret) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -f01refDefaultSolve (htPage,lda,wheret,ifail) == - n := '3 - m := '5 - ncolq := '2 - page := htInitPage('"F01REF - Operations with unitary matrices, form columns of {\it Q} after factorization by F01RCF",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain I (Integer))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it A}: ") - (text . "\newline \tab{2} ") - (bcStrings (16 "1" a11 F)) - (bcStrings (16 "1 + %i" a12 F)) - (bcStrings (16 "1 + %i" a13 F)) - (text . "\newline \tab{2} ") - (bcStrings (16 "-0.2-0.4*%i" a21 F)) - (bcStrings (16 "-2" a22 F)) - (bcStrings (16 "-1 - %i" a23 F)) - (text . "\newline \tab{2} ") - (bcStrings (16 "-0.32 - 0.16*%i" a31 F)) - (bcStrings (16 "-0.3505+0.263*%i" a32 F)) - (bcStrings (16 "-3" a33 F)) - (text . "\newline \tab{2} ") - (bcStrings (16 "-0.4 + 0.2*%i" a41 F)) - (bcStrings (16 "0.5477*%i" a42 F)) - (bcStrings (16 "0.0" a43 F)) - (text . "\newline \tab{2} ") - (bcStrings (16 "-0.12 + 0.24*%i" a51 F)) - (bcStrings (16 "0.1972+0.2629*%i" a52 F)) - (bcStrings (16 "0.6325" a53 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of \theta: ") - (text . "\newline \tab{2} ") - (bcStrings (16 "1 + 0.5*%i" z1 F)) - (bcStrings (16 "1.0954-0.3333*%i" z2 F)) - (bcStrings (16 "1.2649-1.1565*%i" z3 F)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'f01refGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'lda,lda) - htpSetProperty(page,'ncolq,ncolq) - htpSetProperty(page,'wheret,wheret) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f01refGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) --- lda := htpProperty(htPage,'lda) - lda := m - ncolq := htpProperty(htPage,'ncolq) - wheret := htpProperty(htPage,'wheret) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..n repeat - left := STRCONC((first y).1," ") - y := rest y - thetalist := [left,:thetalist] - thetastring := bcwords2liststring thetalist - y := REVERSE y - for i in 1..lda repeat - for j in 1..n repeat - elm := STRCONC((first y).1," ") - rowList := [:rowList,elm] - y := rest y - matform := [:matform,rowList] - rowList := [] - matstring := bcwords2liststring [bcwords2liststring x for x in matform] - prefix := STRCONC('"f01ref(_"",wheret,"_",",STRINGIMAGE m,", ") - prefix := STRCONC(prefix,STRINGIMAGE n,", ",STRINGIMAGE ncolq,", ") - prefix := STRCONC(prefix,STRINGIMAGE lda,",[",thetastring,"],") - prefix := STRCONC(prefix,matstring,", ",STRINGIMAGE ifail,")") - linkGen prefix - -@ -\eject -\begin{thebibliography}{99} -\bibitem{1} nothing -\end{thebibliography} -\end{document} |