/* Original version of this file copyright 1999 by Michael Wester,
 * and retrieved from http://www.math.unm.edu/~wester/demos/MathvsCS/match.macsyma
 * circa 2006-10-23.
 *
 * Released under the terms of the GNU General Public License, version 2,
 * per message dated 2007-06-03 from Michael Wester to Robert Dodier
 * (contained in the file wester-gpl-permission-message.txt).
 *
 * See: "A Critique of the Mathematical Abilities of CA Systems"
 * by Michael Wester, pp 25--60 in
 * "Computer Algebra Systems: A Practical Guide", edited by Michael J. Wester
 * and published by John Wiley and Sons, Chichester, United Kingdom, 1999.
 */
/* ----------[ M a c s y m a ]---------- */
/* ---------- Initialization ---------- */
showtime: all$
prederror: false$
/* ---------- Mathematics vs Computer Science ---------- */
/* Just how well are pattern matches between mathematically equivalent forms
   performed? */
matchdeclare(x, true)$
defmatch(match, exp(x), x)$
match(exp(y), y);
match(%e^y,   y);
defmatch(match, %e^x, x)$
match(exp(y), y);
match(%e^y,   y);
defmatch(match, sqrt(x), x)$
match(sqrt(y), y);
match(y^(1/2), y);
defmatch(match, x^(1/2), x)$
match(sqrt(y), y);
match(y^(1/2), y);
defmatch(match, %i*x, x)$
match(%i*y,         y);
match(sqrt(-1)*y,   y);
match((-1)^(1/2)*y, y);
defmatch(match, sqrt(-1)*x, x)$
match(%i*y,         y);
match(sqrt(-1)*y,   y);
match((-1)^(1/2)*y, y);
defmatch(match, (-1)^(1/2)*x, x)$
match(%i*y,         y);
match(sqrt(-1)*y,   y);
match((-1)^(1/2)*y, y);
kill(x)$
