\documentclass{article}
\usepackage{open-axiom}
\begin{document}
\title{\$SPAD/src/algebra pcurve.spad}
\author{Clifton J. Williamson}
\maketitle
\begin{abstract}
\end{abstract}
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\tableofcontents
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\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>>
@
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\bibitem{1} nothing
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