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authordos-reis <gdr@axiomatics.org>2007-09-20 03:58:10 +0000
committerdos-reis <gdr@axiomatics.org>2007-09-20 03:58:10 +0000
commit32d516cbb18276e5060749f85368c5a90346a0f4 (patch)
treeef3d9881bbdb62a623abc7af74384fd2aaa103f4 /src/interp/bc-matrix.boot.pamphlet
parent9b71e0a1f285fc207709cf8e90721160af299127 (diff)
downloadopen-axiom-32d516cbb18276e5060749f85368c5a90346a0f4.tar.gz
remove pamphlets - part 4
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-\documentclass{article}
-\usepackage{axiom}
-\begin{document}
-\title{\$SPAD/src/interp bc-matrix.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>>
-
--- Basic Command matrix entry
-
-bcMatrix() == bcReadMatrix nil
-
-bcReadMatrix exitFunctionOrNil ==
- page := htInitPage('"Matrix Basic Command", nil)
- htpSetProperty(page,'exitFunction,exitFunctionOrNil)
- htMakePage
- '((domainConditions
- (isDomain PI (PositiveInteger)))
- (text . "Enter the size of the matrix:")
- (inputStrings
- ("Number of {\em rows}:\space{3}" "" 5 2 rows PI)
- ("Number of {\em columns}: " "" 5 2 cols PI))
- (text . "\blankline ")
- (text . "How would you like to enter the matrix?")
- (text . "\beginmenu")
- (text . "\item ")
- (bcLinks ("\menuitemstyle{By entering individual entries}" "" bcInputExplicitMatrix explicit))
- (text . "\item ")
- (bcLinks ("\menuitemstyle{By formula}" "" bcInputMatrixByFormula formula))
- (text . "\endmenu"))
- htShowPage()
-
-bcInputMatrixByFormula(htPage,junk) ==
- page := htInitPage('"Basic Matrix Command", htpPropertyList htPage)
- htMakePage '(
- (domainConditions
- (isDomain S (Symbol))
- (isDomain FE (Expression (Integer))))
- (text . "\menuitemstyle{}\tab{2}")
- (text . "Enter the {\em row variable}: ")
- (text . "\tab{36}")
- (bcStrings (6 i rowVar S))
- (text . "\blankline ")
- (text . "\newline ")
- (text . "\menuitemstyle{}\tab{2}")
- (text . "Enter the {\em column variable}: ")
- (text . "\tab{36}")
- (bcStrings (6 j colVar S))
- (text . "\blankline ")
- (text . "\newline ")
- (text . "\menuitemstyle{}\tab{2}")
- (text . "Enter the general {\em formula} for the entries:")
- (text . "\newline\tab{2} ")
- (bcStrings (40 "1/(x - i - j - 1)" formula FE)))
- htMakeDoneButton('"Continue", 'bcInputMatrixByFormulaGen)
- nrows :=
- null $bcParseOnly => objValUnwrap htpLabelSpadValue(htPage,'rows)
- PARSE_-INTEGER htpLabelInputString(htPage,'rows)
- ncols :=
- null $bcParseOnly => objValUnwrap htpLabelSpadValue(htPage,'cols)
- PARSE_-INTEGER htpLabelInputString(htPage,'cols)
- htpSetProperty(page, 'nrows, nrows)
- htpSetProperty(page, 'ncols, ncols)
- htShowPage()
-
-bcInputMatrixByFormulaGen htPage ==
- fun := htpProperty(htPage,'exitFunction) => FUNCALL(fun, htPage)
- formula := htpLabelInputString(htPage,'formula)
- rowVar := htpLabelInputString(htPage,'rowVar)
- colVar := htpLabelInputString(htPage,'colVar)
- nrows := htpProperty(htPage,'nrows)
- ncols := htpProperty(htPage,'ncols)
- bcGen STRCONC('"matrix([[",formula,'" for ",colVar,'" in 1..",
- STRINGIMAGE ncols,'"] for ",rowVar,'" in 1..",STRINGIMAGE nrows,'"])")
-
-bcInputExplicitMatrix(htPage,junk) ==
- nrows :=
- null $bcParseOnly => objValUnwrap htpLabelSpadValue(htPage,'rows)
- PARSE_-INTEGER htpLabelInputString(htPage,'rows)
- ncols :=
- null $bcParseOnly => objValUnwrap htpLabelSpadValue(htPage,'cols)
- PARSE_-INTEGER htpLabelInputString(htPage,'cols)
- cond := nil
- k := 0
- wrows := # STRINGIMAGE nrows
- wcols := # STRINGIMAGE ncols
- labelList :=
- "append"/[[f for j in 1..ncols] for i in 1..nrows] where f ==
- rowpart := STRCONC('"{\em Row",htStringPad(i,wrows))
- colpart := STRCONC('", Column",htStringPad(j,wcols),'":}\space{2}")
- prefix := STRCONC(rowpart,colpart)
- -- name := INTERN STRCONC(htMkName('"row",i),htMkName('"col",j))
- name := INTERN STRINGIMAGE (k := k + 1)
- [prefix,'"",30, 0,name,'P]
- labelList :=
- [['domainConditions, '(isDomain P (Polynomial $EmptyMode)), cond],
- ['inputStrings, :labelList] ]
- page := htInitPage('"Solve Basic Command", htpPropertyList htPage)
- bcHt '"Enter the entries of the matrix:"
- htMakePage labelList
- htMakeDoneButton('"Continue", 'bcGenExplicitMatrix)
- htpSetProperty(page,'nrows,nrows)
- htpSetProperty(page,'ncols,ncols)
- htShowPage()
-
-bcGenExplicitMatrix htPage ==
- htpSetProperty(htPage,'matrix,htpInputAreaAlist htPage)
- fun := htpProperty(htPage,'exitFunction) => FUNCALL(fun, htPage)
- bcGen bcMatrixGen htPage
-
-bcMatrixGen htPage ==
- nrows := htpProperty(htPage,'nrows)
- ncols := htpProperty(htPage,'ncols)
- mat := htpProperty(htPage,'matrix)
- formula := LASSOC('formula,mat) =>
- formula := formula.0
- rowVar := LASSOC('rowVar,mat).0
- colVar := LASSOC('colVar,mat).0
- STRCONC('"matrix([[",formula,'" for ",colVar,'" in 1..",
- STRINGIMAGE ncols,'"] for ",rowVar,'" in 1..",STRINGIMAGE nrows,'"])")
- mat := htpProperty(htPage,'matrix) =>
- mat := REVERSE mat
- k := -1
- matform := [[mat.(k := k + 1).1
- for j in 0..(ncols-1)] for i in 0..(nrows-1)]
- matstring := bcwords2liststring [bcwords2liststring x for x in matform]
- STRCONC('"matrix(",matstring,'")")
- systemError nil
-
-@
-\eject
-\begin{thebibliography}{99}
-\bibitem{1} nothing
-\end{thebibliography}
-\end{document}