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author | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
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committer | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
commit | ab8cc85adde879fb963c94d15675783f2cf4b183 (patch) | |
tree | c202482327f474583b750b2c45dedfc4e4312b1d /src/algebra/pcurve.spad.pamphlet | |
download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz |
Initial population.
Diffstat (limited to 'src/algebra/pcurve.spad.pamphlet')
-rw-r--r-- | src/algebra/pcurve.spad.pamphlet | 132 |
1 files changed, 132 insertions, 0 deletions
diff --git a/src/algebra/pcurve.spad.pamphlet b/src/algebra/pcurve.spad.pamphlet new file mode 100644 index 00000000..9fa07574 --- /dev/null +++ b/src/algebra/pcurve.spad.pamphlet @@ -0,0 +1,132 @@ +\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} |