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authordos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
committerdos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
commitab8cc85adde879fb963c94d15675783f2cf4b183 (patch)
treec202482327f474583b750b2c45dedfc4e4312b1d /src/algebra/pcurve.spad.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/algebra pcurve.spad}
+\author{Clifton J. Williamson}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{category PPCURVE PlottablePlaneCurveCategory}
+<<category PPCURVE PlottablePlaneCurveCategory>>=
+)abbrev category PPCURVE PlottablePlaneCurveCategory
+++ Author: Clifton J. Williamson
+++ Date Created: 11 January 1990
+++ Date Last Updated: 15 June 1990
+++ Basic Operations: listBranches, xRange, yRange
+++ Related Constructors:
+++ Also See:
+++ AMS Classifications:
+++ Keywords: plot, graphics
+++ References:
+++ Description: PlottablePlaneCurveCategory is the category of curves in the
+++ plane which may be plotted via the graphics facilities. Functions are
+++ provided for obtaining lists of lists of points, representing the
+++ branches of the curve, and for determining the ranges of the
+++ x-coordinates and y-coordinates of the points on the curve.
+
+PlottablePlaneCurveCategory(): Category == Definition where
+ L ==> List
+ SEG ==> Segment
+ SF ==> DoubleFloat
+ POINT ==> Point DoubleFloat
+
+ Definition ==> CoercibleTo OutputForm with
+
+ listBranches: % -> L L POINT
+ ++ listBranches(c) returns a list of lists of points, representing the
+ ++ branches of the curve c.
+ xRange: % -> SEG SF
+ ++ xRange(c) returns the range of the x-coordinates of the points
+ ++ on the curve c.
+ yRange: % -> SEG SF
+ ++ yRange(c) returns the range of the y-coordinates of the points
+ ++ on the curve c.
+
+@
+\section{category PSCURVE PlottableSpaceCurveCategory}
+<<category PSCURVE PlottableSpaceCurveCategory>>=
+)abbrev category PSCURVE PlottableSpaceCurveCategory
+++ Author: Clifton J. Williamson
+++ Date Created: 11 January 1990
+++ Date Last Updated: 15 June 1990
+++ Basic Operations: listBranches, xRange, yRange, zRange
+++ Related Constructors:
+++ Also See:
+++ AMS Classifications:
+++ Keywords: plot, graphics
+++ References:
+++ Description: PlottableSpaceCurveCategory is the category of curves in
+++ 3-space which may be plotted via the graphics facilities. Functions are
+++ provided for obtaining lists of lists of points, representing the
+++ branches of the curve, and for determining the ranges of the
+++ x-, y-, and z-coordinates of the points on the curve.
+
+PlottableSpaceCurveCategory(): Category == Definition where
+ L ==> List
+ SEG ==> Segment
+ SF ==> DoubleFloat
+ POINT ==> Point DoubleFloat
+
+ Definition ==> CoercibleTo OutputForm with
+
+ listBranches: % -> L L POINT
+ ++ listBranches(c) returns a list of lists of points, representing the
+ ++ branches of the curve c.
+ xRange: % -> SEG SF
+ ++ xRange(c) returns the range of the x-coordinates of the points
+ ++ on the curve c.
+ yRange: % -> SEG SF
+ ++ yRange(c) returns the range of the y-coordinates of the points
+ ++ on the curve c.
+ zRange: % -> SEG SF
+ ++ zRange(c) returns the range of the z-coordinates of the points
+ ++ on the curve c.
+
+@
+\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>>
+
+<<category PPCURVE PlottablePlaneCurveCategory>>
+<<category PSCURVE PlottableSpaceCurveCategory>>
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}