README file for demos 
Core Library: $Id: README,v 1.3 2004/10/04 03:29:19 exact Exp $
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These are simple programs to demo the basic capabilities
	of the Core Library.  I use some of these as demos
	in my talks.  Chee 

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To make and test all the test program, do

	% make test
	% make moretest

The default CORE_LEVEL is 3, but
you can compile and test the same programs at CORE_LEVEL 1 by doing

	% make veryclean
	% make all LEV=1
	% make test

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PROGRAMS:

1. simple.cpp
	-- to show CORE comparison of the expressions
		sqrt(x)+sqrt(y) : sqrt(x+y + 2*sqrt(xy))
	   for various values of x and y.
	-- in Level 3, they are all equal, and in Level 1, they
		are mostly unequal.
	
2. pointOnPlane.cpp
	-- if you compute the intersection of a line and
		a plane, and test if the intersection is
		on the plane, what is the probability that
		you get the correct response?  -- about 66%

3. scheinerman.cpp
	-- an imaginary conversation between a student and teacher
		in which the teacher convinces the student that
		you cannot prove algebraic identities by numerical
		approximation  (Adapted from a paper by Ed Scheinerman)

4. golden.cpp
	-- some simple tests with the golden ratio

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