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/*
 * test3300 - 3300 series of the regress.cal test suite
 *
 * Copyright (C) 1999  Ernest Bowen and Landon Curt Noll
 *
 * Primary author:  Ernest Bowen
 *
 * Calc is open software; you can redistribute it and/or modify it under
 * the terms of the version 2.1 of the GNU Lesser General Public License
 * as published by the Free Software Foundation.
 *
 * Calc is distributed in the hope that it will be useful, but WITHOUT
 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
 * or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
 * Public License for more details.
 *
 * A copy of version 2.1 of the GNU Lesser General Public License is
 * distributed with calc under the filename COPYING-LGPL.  You should have
 * received a copy with calc; if not, write to Free Software Foundation, Inc.
 * 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
 *
 * @(#) $Revision: 30.1 $
 * @(#) $Id: test3300.cal,v 30.1 2007/03/16 11:09:54 chongo Exp $
 * @(#) $Source: /usr/local/src/bin/calc/cal/RCS/test3300.cal,v $
 *
 * Under source code control:	1995/12/02 04:27:41
 * File existed as early as:	1995
 *
 * Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
 */


defaultverbose = 1;	/* default verbose value */

define testi(str, n, N, verbose)
{
	local A, t, i, j, d1, d2;
	local m;

	if (isnull(verbose)) verbose = defaultverbose;
	if (verbose > 0) {
		print str:":",:;
	}
	if (isnull(N))
		N = 1e6;
	mat A[n,n];
	for (i = 0; i < n; i++)
		for (j = 0; j < n; j++)
			A[i,j] = rand(-N, N);
	t = runtime();
	d1 = det(A);
	t = runtime() - t;
	d2 = det(A^2);
	if (d2 != d1^2) {
		if (verbose > 0) {
			printf("*** Failure for n=%d, N=%d, d1=%d\n", n, N, d1);
		}
		return 1;	/* error */
	} else {
		if (verbose > 0) {
			printf("no errors\n");
		}
		if (verbose > 1) {
			printf("ok: n=%d, N=%d, d1=%d, t=%d\n", n, N, d1, t);
		}
	}
	return 0;	/* ok */
}

define testr(str, n, N, verbose)
{
	local A, t, i, j, d1, d2;

	if (isnull(verbose)) verbose = defaultverbose;
	if (verbose > 0) {
		print str:":",:;
	}
	if (isnull(N))
		N = 1e6;
	mat A[n,n];
	for (i = 0; i < n; i++)
		for (j = 0; j < n; j++)
			A[i,j] = rand(-(N^2), N^2)/rand(1, N);
	t = usertime();
	d1 = det(A);
	t = usertime() - t;
	d2 = det(A^2);
	if (d2 != d1^2) {
		if (verbose > 0) {
			printf("*** Failure for n=%d, N=%d, d1=%d\n", n, N, d1);
		}
		return 1;	/* error */
	} else {
		if (verbose > 0) {
			printf("no errors\n");
		}
		if (verbose > 1) {
			printf("ok: n=%d, N=%d, d1=%d, t=%d\n", n, N, d1, t);
		}
	}
	return 0;	/* ok */
}

/*
 * test3300 - perform all of the above tests a bunch of times
 */
define test3300(verbose, tnum)
{
	local N;	/* test parameter */
	local i;

	/*
	 * set test parameters
	 */
	if (isnull(verbose)) {
		verbose = defaultverbose;
	}
	N = 1e6;
	srand(3300e3300);

	/*
	 * test a lot of stuff
	 */
	for (i=0; i < 19; ++i) {
		err += testi(strcat(str(tnum++), ": testi(", str(i), ")"), \
			     i, N, verbose);
	}
	for (i=0; i < 9; ++i) {
		err += testr(strcat(str(tnum++), ": testr(", str(i), ")"), \
			     i, N, verbose);
	}

	/*
	 * test results
	 */
	if (verbose > 1) {
		if (err) {
			print "***", err, "error(s) found in testall";
		} else {
			print "no errors in testall";
		}
	}
	return tnum;
}