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--- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
--- All rights reserved.
--- Copyright (C) 2007, Gabriel Dos Reis.
--- All rights reserved.
---
--- Redistribution and use in source and binary forms, with or without
--- modification, are permitted provided that the following conditions are
--- met:
---
--- - Redistributions of source code must retain the above copyright
--- notice, this list of conditions and the following disclaimer.
---
--- - Redistributions in binary form must reproduce the above copyright
--- notice, this list of conditions and the following disclaimer in
--- the documentation and/or other materials provided with the
--- distribution.
---
--- - Neither the name of The Numerical ALgorithms Group Ltd. nor the
--- names of its contributors may be used to endorse or promote products
--- derived from this software without specific prior written permission.
---
--- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
--- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
--- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
--- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
--- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
--- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
--- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
--- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
--- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
--- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
--- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-
-
-import '"macros"
-)package "BOOT"
-
-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
-