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Diffstat (limited to 'src/interp/nag-f07.boot.pamphlet')
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diff --git a/src/interp/nag-f07.boot.pamphlet b/src/interp/nag-f07.boot.pamphlet new file mode 100644 index 00000000..3de2bb32 --- /dev/null +++ b/src/interp/nag-f07.boot.pamphlet @@ -0,0 +1,726 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/interp nag-f07.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>> + +f07adf() == + htInitPage('"F07ADF - {\it LU} factorization of real {\it m} by {\it n} matrix",nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXf07adf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f07adf| '|NagLapack|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\newline ") + (text . "F07ADF computes the {\it LU} factorization of a real {\it m}") + (text . " by {\it n} matrix ") + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Number of rows {\it m}:") + (text . "\newline\tab{2} ") + (bcStrings (5 4 m PI)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Number of columns {\it n}:") + (text . "\newline\tab{2} ") + (bcStrings (5 4 n PI)) + ) +-- (text . "\blankline ") +-- (text . "\menuitemstyle{}\tab{2}") +-- (text . "First dimension of array A, {\it lda}:") +-- (text . "\newline\tab{2} ") +-- (bcStrings (5 4 lda PI)) + htMakeDoneButton('"Continue", 'f07adfSolve) + htShowPage() + +f07adfSolve 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 + (n = '4 and m = '4) => f07adfDefaultSolve(htPage,lda) + aList := + "append"/[fa(i,n) for i in 1..m] where fa(i,n) == + labelList := + "append"/[fb(i,j) for j in 1..n] where fb(i,j) == + anam := INTERN STRCONC ('"a",STRINGIMAGE i,STRINGIMAGE j) + [['bcStrings,[6, 0, anam, 'F]]] + prefix := ('"\newline ") + labelList := [['text,:prefix],:labelList] + equationPart := [ + '(domainConditions + (isDomain EM $EmptyMode) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain I (Integer))), + :aList] + page := htInitPage('"F07ADF - {\it LU} factorization of real {\it m} by {\it n} matrix",nil) + htSay '"\menuitemstyle{}\tab{2} " + htSay '"Enter the array {\it A}:" + htSay '"\newline " + htMakePage equationPart + htMakeDoneButton('"Continue",'f07adfGen) + htpSetProperty(page,'n,n) + htpSetProperty(page,'m,m) +-- htpSetProperty(page,'lda,lda) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +f07adfDefaultSolve (htPage,lda) == + n := '4 + m := '4 + page := htInitPage('"F07ADF - {\it LU} factorization of real {\it m} by {\it n} matrix",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain F (Float)) + (isDomain I (Integer))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the array {\it A}:") + (text . "\newline ") + (bcStrings (5 "1.8" a11 F)) + (bcStrings (5 "2.88" a12 F)) + (bcStrings (5 "2.05" a13 F)) + (bcStrings (5 "-0.89" a14 F)) + (text . "\newline ") + (bcStrings (5 "5.25" a21 F)) + (bcStrings (5 "-2.95" a22 F)) + (bcStrings (5 "-0.95" a23 F)) + (bcStrings (5 "-3.8" a24 F)) + (text . "\newline ") + (bcStrings (5 "1.58" a31 F)) + (bcStrings (5 "-2.69" a32 F)) + (bcStrings (5 "-2.9" a33 F)) + (bcStrings (5 "-1.04" a34 F)) + (text . "\newline ") + (bcStrings (5 "-1.11" a41 F)) + (bcStrings (5 "-0.66" a42 F)) + (bcStrings (5 "-0.59" a43 F)) + (bcStrings (5 "0.8" a44 F))) + htpSetProperty(page,'n,n) + htpSetProperty(page,'m,m) +-- htpSetProperty(page,'lda,lda) + htMakeDoneButton('"Continue",'f07adfGen) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +f07adfGen htPage == + n := htpProperty(htPage, 'n) + m := htpProperty(htPage, 'm) + lda := m + alist := htpInputAreaAlist htPage + y := alist + for i in 1..n repeat + for j in 1..m repeat + a := STRCONC((first y).1," ") + rowList := [a,:rowList] + y := rest y + aList := [rowList,:aList] + rowList := [] + astring := bcwords2liststring [bcwords2liststring x for x in aList] + prefix := STRCONC("f07adf(",STRINGIMAGE m,", ",STRINGIMAGE n,", ") + prefix := STRCONC(prefix,STRINGIMAGE lda,", ",astring,")") + linkGen prefix + + +f07aef() == + htInitPage('"F07AEF - Solution of a real system of linear equations with multiple right-hand sides after factorization by F07ADF",nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXf07aef} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f07aef| '|NagLapack|)} for this routine") + (text . "\newline \horizontalline ") + (text . "F07AEF solves a real system of linear equations with multiple right-hand sides, {\it AX=B} or ") + (text . "\htbitmap{aTx=b} , where {\it a} has been factorized by F07ADF ") + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Form of the equations:") + (text . "\blankline ") + (radioButtons trans + ("" " N, the equations are {\it AX=B}" norm) + ("" " T, the equations are \htbitmap{aTx=b}" transp)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "The order {\it n} of {\it A}: ") + (text . "\newline ") + (bcStrings (5 4 n PI)) +-- (text . "\blankline ") +-- (text . "\menuitemstyle{}\tab{2}") +-- (text . "The order {\it m} of {\it A} used by F07AEF: ") +-- (text . "\newline ") +-- (bcStrings (5 4 m PI)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "The number of right-hand sides, {\it nrhs}: ") + (text . "\newline ") + (bcStrings (5 2 nrhs PI)) +-- (text . "\blankline ") +-- (text . "\menuitemstyle{}\tab{2}") +-- (text . "First dimension of {\it A}, {\it lda}: ") +-- (text . "\newline ") +-- (bcStrings (5 4 lda PI)) +-- (text . "\blankline ") +-- (text . "\menuitemstyle{}\tab{2}") +-- (text . "First dimension of {\it B}, {\it ldb}: ") +-- (text . "\newline ") +-- (bcStrings (5 4 ldb PI)) + ) + htMakeDoneButton('"Continue", 'f07aefSolve) + htShowPage() + +f07aefSolve htPage == + n := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) + objValUnwrap htpLabelSpadValue(htPage, 'n) +-- m := +-- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) +-- objValUnwrap htpLabelSpadValue(htPage, 'm) + nrhs := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nrhs) + objValUnwrap htpLabelSpadValue(htPage, 'nrhs) + lda := n +-- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lda) +-- objValUnwrap htpLabelSpadValue(htPage, 'lda) + ldb := n +-- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ldb) +-- objValUnwrap htpLabelSpadValue(htPage, 'ldb) + equa := htpButtonValue(htPage, 'trans) + trans := + equa = 'norm => '"N" + '"T" + (n = '4 and nrhs = '2 ) => f07aefDefaultSolve (htPage,trans) + aList := + "append"/[fa(i,n) for i in 1..lda] where fa(i,n) == + labelList := + "append"/[faa(i,j) for j in 1..n] where faa(i,j) == + anam := INTERN STRCONC ('"a",STRINGIMAGE i,STRINGIMAGE j) + [['bcStrings, [6, 0, anam, 'F]]] + prefix := ('"\newline ") + labelList := [['text,:prefix],:labelList] + ipList := + [fp(i) for i in 1..n] where fp(i) == + ipnam := INTERN STRCONC ('"ip",STRINGIMAGE i) + ['bcStrings,[5, 0, ipnam, 'I]] + middle := ('"\blankline \menuitemstyle{}\tab{2} Enter the pivot ") + middle := STRCONC(middle,'"indices {\it IPIV} from F07ADF: ") + middle := STRCONC(middle,'"\newline ") + ipList := [['text,:middle],:ipList] + bList := + "append"/[fb(i,nrhs) for i in 1..n] where fb(i,nrhs) == + labelList := + "append"/[fbb(i,j) for j in 1..nrhs] where fbb(i,j) == + bnam := INTERN STRCONC ('"b",STRINGIMAGE i,STRINGIMAGE j) + [['bcStrings, [6, 0, bnam, 'F]]] + prefix := ('"\newline ") + labelList := [['text,:prefix],:labelList] + prefix := ("\blankline \menuitemstyle{}\tab{2} Enter the matrix {\it B}: ") + bList := [['text,:prefix],:bList] + equationPart := [ + '(domainConditions + (isDomain EM $EmptyMode) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain I (Integer))) + ,:aList,:ipList,:bList] + page := htInitPage('"F07AEF - Solution of a real system of linear equations with multiple right-hand sides after factorization by F07ADF",nil) + htSay '"\menuitemstyle{}\tab{2} " + htSay '"Enter the matrix {\it A}:" + htSay '"\newline " + htMakePage equationPart + htMakeDoneButton('"Continue",'f07aefGen) + htpSetProperty(page,'n,n) +-- htpSetProperty(page,'m,m) + htpSetProperty(page,'nrhs,nrhs) +-- htpSetProperty(page,'lda,lda) +-- htpSetProperty(page,'ldb,ldb) + htpSetProperty(page,'trans,trans) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +f07aefDefaultSolve (htPage,trans) == + n := '4 + nrhs := '2 + lda := '4 + ldb := '4 + length := '4 + page := htInitPage('"F07AEF - Solution of a real system of linear equations with multiple right-hand sides after factorization by F07ADF",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain F (Float)) + (isDomain I (Integer))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the matrix {\it A}:") + (text . "\newline ") + (bcStrings (5 "5.25" a11 F)) + (bcStrings (5 "-2.95" a12 F)) + (bcStrings (5 "-0.95" a13 F)) + (bcStrings (5 "-3.8" a14 F)) + (text . "\newline ") + (bcStrings (5 "0.34" a21 F)) + (bcStrings (5 "3.89" a22 F)) + (bcStrings (5 "2.38" a23 F)) + (bcStrings (5 "0.41" a24 F)) + (text . "\newline ") + (bcStrings (5 "0.3" a31 F)) + (bcStrings (5 "-0.46" a32 F)) + (bcStrings (5 "-1.51" a33 F)) + (bcStrings (5 "0.29" a34 F)) + (text . "\newline ") + (bcStrings (5 "-0.21" a41 F)) + (bcStrings (5 "-0.33" a42 F)) + (bcStrings (5 "0.00" a43 F)) + (bcStrings (5 "0.13" a44 F)) + (text . "\newline ") + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the pivot indices {\it IPIV} from F07ADF: ") + (text . "\newline ") + (bcStrings (5 2 ip1 PI)) + (bcStrings (5 2 ip2 PI)) + (bcStrings (5 3 ip3 PI)) + (bcStrings (5 4 ip4 PI)) + (text . "\newline ") + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the matrix {\it B}:") + (text . "\newline ") + (bcStrings (5 "9.52" b11 F)) + (bcStrings (5 "18.47" b12 F)) + (text . "\newline ") + (bcStrings (5 "24.35" b21 F)) + (bcStrings (5 "2.25" b22 F)) + (text . "\newline ") + (bcStrings (5 "0.77" b31 F)) + (bcStrings (5 "-13.28" b32 F)) + (text . "\newline ") + (bcStrings (5 "-6.22" b41 F)) + (bcStrings (5 "-6.21" b42 F))) + htpSetProperty(page,'trans,trans) + htpSetProperty(page,'n,n) + htpSetProperty(page,'nrhs,nrhs) +-- htpSetProperty(page,'lda,lda) +-- htpSetProperty(page,'ldb,ldb) + htpSetProperty(page,'length,length) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htMakeDoneButton('"Continue",'f07aefGen) + htShowPage() + +f07aefGen htPage == + n := htpProperty(htPage, 'n) + nrhs := htpProperty(htPage, 'nrhs) +-- lda := htpProperty(htPage, 'lda) +-- ldb := htpProperty(htPage, 'ldb) + lda := n + ldb := n + length := htpProperty(htPage, 'length) + trans := htpProperty(htPage,'trans) + aplist := htpInputAreaAlist htPage + y := aplist + for i in 1..n repeat + for j in 1..nrhs repeat + b := STRCONC((first y).1," ") + rowList := [b,:rowList] + y := rest y + bList := [rowList,:bList] + rowList := [] + bstring := bcwords2liststring [bcwords2liststring x for x in bList] + for i in 1..length repeat + ip := STRCONC((first y).1," ") + ipList := [ip,:ipList] + y := rest y + ipstring := bcwords2liststring ipList + for i in 1..lda repeat + for j in 1..n repeat + a := STRCONC((first y).1," ") + rowList := [a,:rowList] + y := rest y + aList := [rowList,:aList] + rowList := [] + astring := bcwords2liststring [bcwords2liststring x for x in aList] + prefix := STRCONC("f07aef(_"", trans,"_", ",STRINGIMAGE n,", ") + prefix := STRCONC(prefix,STRINGIMAGE nrhs,", ",astring,"::Matrix DoubleFloat, ") + prefix := STRCONC(prefix,STRINGIMAGE lda,", [",ipstring,"]::Matrix INT, ") + prefix := STRCONC(prefix,STRINGIMAGE ldb,", ",bstring,"::Matrix DoubleFloat)") + linkGen prefix + +f07fdf() == + htInitPage('"F07FDF - Cholesky factorization of a real symmmetric positive-definite matrix {\it A}",nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXf07fdf} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f07fdf| '|NagLapack|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\newline ") + (text . "F07FDF computes the Cholesky factorization of a real symmetric positive-definite ") + (text . "matrix {\it A} ") + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Method of factorization of {\it A}, {\it UPLO}:") + (text . "\blankline ") + (radioButtons uplo + ("" " L, {\it A} factorized as lower triangular" lower) + ("" " U, {\it A} factorized as upper triangular" upper)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "The order {\it n} of {\it A}: ") + (text . "\newline ") + (bcStrings (5 4 n PI)) +-- (text . "\blankline ") +-- (text . "\menuitemstyle{}\tab{2}") +-- (text . "First dimension of {\it A}, {\it lda}:") +-- (text . "\newline ") +-- (bcStrings (5 4 lda PI))) + ) + htMakeDoneButton('"Continue", 'f07fdfSolve) + htShowPage() + +f07fdfSolve htPage == + n := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) + objValUnwrap htpLabelSpadValue(htPage, 'n) + lda := n +-- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lda) +-- objValUnwrap htpLabelSpadValue(htPage, 'lda) + upl := htpButtonValue(htPage, 'uplo) + uplo:= + upl = 'lower => '"L" + '"U" + (n = '4 ) => f07fdfDefaultSolve(htPage,uplo) + aList := + "append"/[fa(i,n) for i in 1..lda] where fa(i,n) == + labelList := + "append"/[fb(i,j) for j in 1..n] where fb(i,j) == + anam := INTERN STRCONC ('"a",STRINGIMAGE i,STRINGIMAGE j) + [['bcStrings, [6, 0, anam, 'F]]] + prefix := ('"\newline ") + labelList := [['text,:prefix],:labelList] + equationPart := [ + '(domainConditions + (isDomain EM $EmptyMode) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain I (Integer))), + :aList] + page := htInitPage('"F07FDF - Cholesky factorization of a real symmmetric positive-definite matrix {\it A}",nil) + htSay '"\menuitemstyle{}\tab{2} " + htSay '"Enter the matrix {\it A}:" + htSay '"\newline " + htMakePage equationPart + htMakeDoneButton('"Continue",'f07fdfGen) + htpSetProperty(page,'uplo,uplo) + htpSetProperty(page,'n,n) +-- htpSetProperty(page,'lda,lda) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +f07fdfDefaultSolve (htPage,uplo) == + n := '4 + lda := '4 + page := htInitPage('"F07FDF - Cholesky factorization of a real symmmetric positive-definite matrix {\it A}",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain F (Float)) + (isDomain I (Integer))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the matrix {\it A}:") + (text . "\newline ") + (bcStrings (5 "4.16" a11 F)) + (bcStrings (5 "0.0" a12 F)) + (bcStrings (5 "0.0" a13 F)) + (bcStrings (5 "0.0" a14 F)) + (text . "\newline ") + (bcStrings (5 "-3.12" a21 F)) + (bcStrings (5 "5.03" a22 F)) + (bcStrings (5 "0.0" a23 F)) + (bcStrings (5 "0.0" a24 F)) + (text . "\newline ") + (bcStrings (5 "0.56" a31 F)) + (bcStrings (5 "-0.83" a32 F)) + (bcStrings (5 "0.76" a33 F)) + (bcStrings (5 "0.0" a34 F)) + (text . "\newline ") + (bcStrings (5 "-0.1" a41 F)) + (bcStrings (5 "1.18" a42 F)) + (bcStrings (5 "0.34" a43 F)) + (bcStrings (5 "1.18" a44 F))) + htpSetProperty(page,'uplo,uplo) + htpSetProperty(page,'n,n) +-- htpSetProperty(page,'lda,lda) + htMakeDoneButton('"Continue",'f07fdfGen) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +f07fdfGen htPage == + n := htpProperty(htPage, 'n) +-- lda := htpProperty(htPage, 'lda) + lda := n + uplo := htpProperty(htPage,'uplo) + alist := htpInputAreaAlist htPage + y := alist + for i in 1..n repeat + for j in 1..n repeat + a := STRCONC((first y).1," ") + rowList := [a,:rowList] + y := rest y + aList := [rowList,:aList] + rowList := [] + astring := bcwords2liststring [bcwords2liststring x for x in aList] + prefix := STRCONC("f07fdf(_"", uplo,"_", ",STRINGIMAGE n,", ") + prefix := STRCONC(prefix,STRINGIMAGE lda,", ",astring,")") + linkGen prefix + + +f07fef() == + htInitPage('"F07FEF - Solution of a real symmetric positive-definite system of linear equations with multiple right-hand sides after factorization by F07FDF",nil) + htMakePage '( + (domainConditions + (isDomain PI (PositiveInteger))) + (text . "\windowlink{Manual Page}{manpageXXf07fef} for this routine ") + (text . "\newline ") + (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f07fef| '|NagLapack|)} for this routine") + (text . "\newline \horizontalline ") + (text . "\newline ") + (text . "F07FEF solves a real symmetric positive-definite system of linear ") + (text . "equations with multiple right-hand sides, {\it AX=B}, where ") + (text . "{\it A} has been factorized by F07FDF ") + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Method of factorization of {\it A}, {\it UPLO}:") + (text . "\blankline ") + (radioButtons uplo + ("" " L, {\it A} factorized as lower triangular" lower) + ("" " U, {\it A} factorized as upper triangular" upper)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "The order {\it n} of {\it A}: ") + (text . "\newline ") + (bcStrings (5 4 n PI)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "The number of right-hand sides, {\it nrhs}: ") + (text . "\newline ") + (bcStrings (5 2 nrhs PI)) +-- (text . "\blankline ") +-- (text . "\menuitemstyle{}\tab{2}") +-- (text . "First dimension of {\it A}, {\it lda}: ") +-- (text . "\newline ") +-- (bcStrings (5 4 lda PI)) +-- (text . "\blankline ") +-- (text . "\menuitemstyle{}\tab{2}") +-- (text . "First dimension of {\it B}, {\it ldb}: ") +-- (text . "\newline ") +-- (bcStrings (5 4 ldb PI))) + ) + htMakeDoneButton('"Continue", 'f07fefSolve) + htShowPage() + +f07fefSolve htPage == + n := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) + objValUnwrap htpLabelSpadValue(htPage, 'n) + nrhs := + $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nrhs) + objValUnwrap htpLabelSpadValue(htPage, 'nrhs) + lda := n +-- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lda) +-- objValUnwrap htpLabelSpadValue(htPage, 'lda) + ldb := n +-- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ldb) +-- objValUnwrap htpLabelSpadValue(htPage, 'ldb) + upl := htpButtonValue(htPage, 'uplo) + uplo:= + upl = 'lower => '"L" + '"U" + (n = '4 and nrhs = '2) => f07fefDefaultSolve(htPage,uplo) + aList := + "append"/[fa(i,n) for i in 1..lda] where fa(i,n) == + labelList := + "append"/[faa(i,j) for j in 1..n] where faa(i,j) == + anam := INTERN STRCONC ('"a",STRINGIMAGE i,STRINGIMAGE j) + [['bcStrings, [8, 0, anam, 'F]]] + prefix := ('"\newline ") + labelList := [['text,:prefix],:labelList] + bList := + "append"/[fb(i,nrhs) for i in 1..n] where fb(i,nrhs) == + labelList := + "append"/[fbb(i,j) for j in 1..nrhs] where fbb(i,j) == + bnam := INTERN STRCONC ('"b",STRINGIMAGE i,STRINGIMAGE j) + [['bcStrings, [8, 0, bnam, 'F]]] + prefix := ('"\newline ") + labelList := [['text,:prefix],:labelList] + prefix := ("\blankline \menuitemstyle{}\tab{2} Enter the matrix {\it B}: ") + bList := [['text,:prefix],:bList] + equationPart := [ + '(domainConditions + (isDomain EM $EmptyMode) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain I (Integer))) + ,:aList,:bList] + page := htInitPage('"F07FEF - Solution of a real symmetric positive-definite system of linear equations with multiple right-hand sides after factorization by F07FDF",nil) + htSay '"\menuitemstyle{}\tab{2} " + htSay '"Enter the matrix {\it A}:" + htSay '"\newline " + htMakePage equationPart + htMakeDoneButton('"Continue",'f07fefGen) + htpSetProperty(page,'uplo,uplo) + htpSetProperty(page,'n,n) + htpSetProperty(page,'nrhs,nrhs) +-- htpSetProperty(page,'lda,lda) +-- htpSetProperty(page,'ldb,ldb) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htShowPage() + +f07fefDefaultSolve (htPage,uplo) == + n := '4 + nrhs := '2 + lda := '4 + ldb := '4 + page := htInitPage('"F07FEF - Solution of a real symmetric positive-definite system of linear equations with multiple right-hand sides after factorization by F07FDF",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain F (Float)) + (isDomain I (Integer))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the matrix {\it A}:") + (text . "\newline ") + (bcStrings (8 "2.04" a11 F)) + (bcStrings (8 "0.0" a12 F)) + (bcStrings (8 "0.0" a13 F)) + (bcStrings (8 "0.0" a14 F)) + (text . "\newline ") + (bcStrings (8 "-1.53" a21 F)) + (bcStrings (8 "1.64" a22 F)) + (bcStrings (8 "0.0" a23 F)) + (bcStrings (8 "0.0" a24 F)) + (text . "\newline ") + (bcStrings (8 "0.28" a31 F)) + (bcStrings (8 "-0.25" a32 F)) + (bcStrings (8 "0.79" a33 F)) + (bcStrings (8 "0.0" a34 F)) + (text . "\newline ") + (bcStrings (8 "-0.05" a41 F)) + (bcStrings (8 "0.67" a42 F)) + (bcStrings (8 "0.66" a43 F)) + (bcStrings (8 "0.54" a44 F)) + (text . "\newline ") + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the matrix {\it B}:") + (text . "\newline ") + (bcStrings (8 "8.7" b11 F)) + (bcStrings (8 "8.3" b12 F)) + (text . "\newline ") + (bcStrings (8 "-13.35" b21 F)) + (bcStrings (8 "2.13" b22 F)) + (text . "\newline ") + (bcStrings (8 "1.89" b31 F)) + (bcStrings (8 "1.61" b32 F)) + (text . "\newline ") + (bcStrings (8 "-4.14" b41 F)) + (bcStrings (8 "5" b42 F))) + htpSetProperty(page,'uplo,uplo) + htpSetProperty(page,'n,n) + htpSetProperty(page,'nrhs,nrhs) +-- htpSetProperty(page,'lda,lda) +-- htpSetProperty(page,'ldb,ldb) + htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) + htMakeDoneButton('"Continue",'f07fefGen) + htShowPage() + +f07fefGen htPage == + n := htpProperty(htPage, 'n) + nrhs := htpProperty(htPage, 'nrhs) +-- lda := htpProperty(htPage, 'lda) +-- ldb := htpProperty(htPage, 'ldb) + lda := n + ldb := n + uplo := htpProperty(htPage,'uplo) + aplist := htpInputAreaAlist htPage + y := aplist + for i in 1..n repeat + for j in 1..nrhs repeat + b := STRCONC((first y).1," ") + rowList := [b,:rowList] + y := rest y + bList := [rowList,:bList] + rowList := [] + bstring := bcwords2liststring [bcwords2liststring x for x in bList] + for i in 1..lda repeat + for j in 1..n repeat + a := STRCONC((first y).1," ") + rowList := [a,:rowList] + y := rest y + aList := [rowList,:aList] + rowList := [] + astring := bcwords2liststring [bcwords2liststring x for x in aList] + prefix := STRCONC("f07fef(_"", uplo,"_", ",STRINGIMAGE n,", ") + prefix := STRCONC(prefix,STRINGIMAGE nrhs,", ",astring,"::Matrix DoubleFloat, ") + prefix := STRCONC(prefix,STRINGIMAGE lda,", ") + prefix := STRCONC(prefix,STRINGIMAGE ldb,", ",bstring,"::Matrix DoubleFloat)") + linkGen prefix + +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |