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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.
)package "BOOT"
c02aff() ==
htInitPage('"C02AFF - All Zeros of a Complex Polynomial",nil)
htMakePage '(
(domainConditions
(isDomain PI (PositiveInteger)))
(text . "\windowlink{Manual Page}{manpageXXc02aff} for this routine ")
(text . "\newline ")
(text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c02aff| '|NagPolynomialRootsPackage|)} for this routine")
(text . "\newline \horizontalline ")
(text . "Finds all the roots of the complex polynomial equation ")
(text . "\htbitmap{c02aff}, using a variant of Laguerre's method. ")
(text . "\blankline ")
(text . "\newline \menuitemstyle{} ")
(text . "\tab{2} Enter the degree {\em n} of the polynomial:")
(text . "\newline\tab{2} ")
(bcStrings (5 5 n PI))
(text . "\blankline")
(text . "\newline")
(text . "\newline \menuitemstyle{} \tab{2} Scale value:")
(radioButtons scale
("" " True" true)
("" " False" false))
(text . "\blankline ")
(text . "\newline \menuitemstyle{} \tab{2} Ifail value:")
(radioButtons ifail
("" " -1, Print error messages" minusOne)
("" " 1, Suppress error messages" one)))
htMakeDoneButton('"Continue", 'c02affSolve)
htShowPage()
c02affSolve htPage ==
n :=
$bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n)
objValUnwrap htpLabelSpadValue(htPage, 'n)
logical := htpButtonValue(htPage,'scale)
scale :=
logical = 'true => '"true"
'"false"
error := htpButtonValue(htPage,'ifail)
ifail :=
error = 'one => '1
'-1
n = '5 => c02affDefaultSolve(htPage,scale,ifail)
labelList :=
"append"/[f(i,n) for i in 1..(n+1)] where f(i,n) ==
prefix := ('"\newline z**")
prefix := STRCONC(prefix,STRINGIMAGE (n-i+1),'"\space{1}")
post := ('"\tab{30} ")
post := STRCONC(post,'"\space{1}")
rnam := INTERN STRCONC ('"r",STRINGIMAGE i)
inam := INTERN STRCONC ('"i",STRINGIMAGE i)
[['text,:prefix],['bcStrings,[10, 0.0, rnam, 'P]],
['text,:post],['bcStrings,[10, 0.0, inam, 'P]]]
equationPart := [
'(domainConditions
(isDomain P (Polynomial $EmptyMode))
(isDomain S (String))
(isDomain PI (PositiveInteger))),
:labelList]
page := htInitPage("C02AFF - All Zeros of a Complex Polynomial", htpPropertyList htPage)
htSay '"\menuitemstyle{} \tab{2} Enter the coefficients of the polynomial: "
htSay '"\blankline "
htSay '"Real parts \tab{30} Imaginary parts "
htSay '"\newline "
htMakePage equationPart
htMakeDoneButton('"Continue",'c02affGen)
htpSetProperty(page,'n,n)
htpSetProperty(page,'scale,scale)
htpSetProperty(page,'ifail,ifail)
htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
htShowPage()
c02affDefaultSolve (htPage, scale, ifail) ==
n := '5
page := htInitPage('"C02AFF - All Zeros of a Complex Polynomial",nil)
htMakePage '(
(domainConditions
(isDomain F (Float)))
(text . "\newline \menuitemstyle{} \tab{2} ")
(text . "Enter the coefficients of the polynomial: ")
(text . "\blankline ")
(text . "Real parts \tab{30} Imaginary parts ")
(text . "\newline z**5 \space{1} ")
(bcStrings (10 "5.0" r1 F))
(text . "\tab{30} ")
(text . "\space{1} ")
(bcStrings (10 "6.0" i1 F))
(text . "\newline ")
(text . "z**4 \space{1} ")
(bcStrings (10 "30.0" r2 F))
(text . "\tab{30} ")
(text . "\space{1} ")
(bcStrings (10 "20.0" i2 F))
(text . "\newline ")
(text . "z**3 \space{1} ")
(bcStrings (10 "-0.2" r3 F))
(text . "\tab{30} ")
(text . "\space{1} ")
(bcStrings (10 "-6.0" i3 F))
(text . "\newline ")
(text . "z**2 \space{1} ")
(bcStrings (10 "50.0" r4 F))
(text . "\tab{30} ")
(text . "\space{1} ")
(bcStrings (10 "100000.0" i4 F))
(text . "\newline ")
(text . "z**1 \space{1} ")
(bcStrings (10 "-2.0" r5 F))
(text . "\tab{30} ")
(text . "\space{1} ")
(bcStrings (10 "40.0" i5 F))
(text . "\newline ")
(text . "z**0 \space{1} ")
(bcStrings (10 "10.0" r6 F))
(text . "\tab{30} ")
(text . "\space{1} ")
(bcStrings (10 "1.0" i6 F))
(text . "\newline ")
(text . "\blankline"))
htMakeDoneButton('"Continue",'c02affGen)
htpSetProperty(page,'n,n)
htpSetProperty(page,'scale,scale)
htpSetProperty(page,'ifail,ifail)
htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
htShowPage()
c02affGen htPage ==
n := htpProperty(htPage,'n)
scale := htpProperty(htPage,'scale)
ifail := htpProperty(htPage,'ifail)
alist := htpInputAreaAlist htPage
y := alist
while y repeat
right := STRCONC((first y).1," ")
y := rest y
left := STRCONC((first y).1," ")
y := rest y
reallist := [left,:reallist]
imaglist := [right,:imaglist]
realstring := bcwords2liststring reallist
imagstring := bcwords2liststring imaglist
linkGen STRCONC ('"c02aff([",realstring,",",imagstring,"],",STRINGIMAGE n,",",scale,",",STRINGIMAGE ifail,")")
c02agf() ==
htInitPage('"C02AGF - All Zeros of a Real Polynomial",nil)
htMakePage '(
(domainConditions
(isDomain PI (PositiveInteger)))
(text . "\windowlink{Manual Page}{manpageXXc02agf} for this routine ")
(text . "\newline ")
(text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c02agf| '|NagPolynomialRootsPackage|)} for this routine")
(text . "\newline \horizontalline ")
(text . "Finds all the roots of the real polynomial equation ")
(text . "\htbitmap{c02aff}, using a variant of Laguerre's method. ")
(text . "\blankline ")
(text . "\newline \menuitemstyle{} ")
(text . "\tab{2} Enter the degree {\em n} of the polynomial:")
(text . "\newline\tab{2} ")
(bcStrings (5 5 n PI))
(text . "\blankline")
(text . "\newline")
(text . "\newline \menuitemstyle{} \tab{2} Scale value:")
(radioButtons scale
("" " True" true)
("" " False" false))
(text . "\blankline ")
(text . "\newline \menuitemstyle{} \tab{2} Ifail value:")
(radioButtons ifail
("" " -1, Print error messages" minusOne)
("" " 1, Suppress error messages" one)))
htMakeDoneButton('"Continue", 'c02agfSolve)
htShowPage()
c02agfSolve htPage ==
n :=
$bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n)
objValUnwrap htpLabelSpadValue(htPage, 'n)
logical := htpButtonValue(htPage,'scale)
scale :=
logical = 'true => '"true"
'"false"
error := htpButtonValue(htPage,'ifail)
ifail :=
error = 'one => '1
'-1
n = '5 => c02agfDefaultSolve(htPage,scale,ifail)
labelList :=
"append"/[f(i,n) for i in 1..(n+1)] where f(i,n) ==
prefix := ('"\newline z**")
prefix := STRCONC(prefix,STRINGIMAGE (n-i+1),'"\space{1}")
rnam := INTERN STRCONC ('"r",STRINGIMAGE i)
[['text,:prefix],['bcStrings,[10, 0.0, rnam, 'P]]]
equationPart := [
'(domainConditions
(isDomain P (Polynomial $EmptyMode))
(isDomain S (String))
(isDomain PI (PositiveInteger))),
:labelList]
page := htInitPage("C02AGF - All Zeros of a Real Polynomial", htpPropertyList htPage)
htSay '"\menuitemstyle{} \tab{2} "
htSay '"Enter the coefficients of the polynomial: "
htSay '"\newline "
htMakePage equationPart
htMakeDoneButton('"Continue",'c02agfGen)
htpSetProperty(page,'n,n)
htpSetProperty(page,'scale,scale)
htpSetProperty(page,'ifail,ifail)
htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
htShowPage()
c02agfDefaultSolve (htPage, scale, ifail) ==
n := '5
page := htInitPage('"C02AGF - All Zeros of a Real Polynomial",nil)
htMakePage '(
(domainConditions
(isDomain F (Float)))
(text . "\newline \menuitemstyle{} \tab{2} ")
(text . "Enter the coefficients of the polynomial: ")
(text . "\newline ")
(text . "z**5 \space{1} ")
(bcStrings (10 "1.0" r1 F))
(text . "\newline ")
(text . "z**4 \space{1} ")
(bcStrings (10 "2.0" r2 F))
(text . "\newline ")
(text . "z**3 \space{1} ")
(bcStrings (10 "3.0" r3 F))
(text . "\newline ")
(text . "z**2 \space{1} ")
(bcStrings (10 "4.0" r4 F))
(text . "\newline ")
(text . "z**1 \space{1} ")
(bcStrings (10 "5.0" r5 F))
(text . "\newline ")
(text . "z**0 \space{1} ")
(bcStrings (10 "6.0" r6 F))
(text . "\newline ")
(text . "\blankline"))
htMakeDoneButton('"Continue",'c02agfGen)
htpSetProperty(page,'n,n)
htpSetProperty(page,'scale,scale)
htpSetProperty(page,'ifail,ifail)
htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
htShowPage()
c02agfGen htPage ==
n := htpProperty(htPage,'n)
scale := htpProperty(htPage,'scale)
ifail := htpProperty(htPage,'ifail)
alist := htpInputAreaAlist htPage
y := alist
while y repeat
left := STRCONC((first y).1," ")
y := rest y
reallist := [left,:reallist]
realstring := bcwords2liststring reallist
linkGen STRCONC ('"c02agf([",realstring,"],",STRINGIMAGE n,",",scale,",",STRINGIMAGE ifail,")")
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