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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/input/drawcurv.input.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input drawcurv.input}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{License}
+<<license>>=
+--Copyright The Numerical Algorithms Group Limited 1991.
+@
+<<*>>=
+<<license>>
+
+)clear all
+-- a circle
+
+seg1 : SEG FRAC INT := -3/2..3/2
+range1 : LIST SEG FRAC INT := [seg1,seg1]
+
+draw(x**2 + y**2 = 1,x,y,range == range1,title == "Unit Circle")
+
+-- ditto
+
+seg2 : SEG FLOAT := -1.1..1.1
+range2 : LIST SEG FLOAT := [seg2,seg2]
+
+draw(x**2 + y**2 = 1,x,y,range == range2,title == "Unit Circle, 2nd Graph")
+
+-- an ellipse
+
+seg3 : SEG FRAC INT := -4..4
+range3 : LIST SEG FRAC INT := [seg3,seg3]
+
+draw(x**2/9 + y**2/4 = 1,x,y,range == range3,_
+ toScale == true,title == "Ellipse")
+
+-- another ellipse
+
+seg4 : SEG FRAC INT := -5..5
+range4 : LIST SEG FRAC INT := [seg4,seg4]
+
+draw(5*x**2 - 8*x*y + 5*y**2 = 9,x,y,range == range4)
+
+-- a parabola
+
+seg5a : SEG FRAC INT := -3..14
+seg5b : SEG FRAC INT := -3..10
+range5 : LIST SEG FRAC INT := [seg5a,seg5b]
+draw(x**2 - 2*x*y + y**2 - x - 2 = 0,x,y,range == range5)
+
+-- a hyperbola
+
+draw(x**2/4 - y**2 = 1,x,y,range == range4)
+
+-- an elliptic curve
+
+seg6a : SEG FRAC INT := -2..2
+seg6b : SEG FRAC INT := -2..1
+range6 : LIST SEG FRAC INT := [seg6a,seg6b]
+
+draw(y**2 + y = x**3 - x,x,y,range == range6)
+
+-- ovals
+
+seg7a : SEG FRAC INT := -8..8
+seg7b : SEG FRAC INT := -4..4
+range7 : LIST SEG FRAC INT := [seg7a,seg7b]
+
+eq1 := (x**2 + y**2 + 5**2)**2 - (6**4 + 4*5**2*x**2) = 0
+draw(eq1,x,y,range == range7,title == "Cassinian oval with one loop")
+
+seg8a : SEG FRAC INT := -10..10
+range8 : LIST SEG FRAC INT := [seg8a,seg7b]
+
+eq2 := (x**2 + y**2 + 7**2)**2 - (6**4 + 4*7**2*x**2) = 0
+draw(eq2,x,y,range == range8,title == "Cassinian oval with two loops")
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}