Files
calc/cal/test3500.cal
Landon Curt Noll a31078bbec Remove all RCS @(#) lines and RCS strings
Some folks might think: “you still use RCS”?!?  And we will say,
hey, at least we switched from SCCS to RCS back in … I think it was
around 1994 ... at least we are keeping up! :-) :-) :-)

Logs say that SCCS version 18 became RCS version 19 on 1994 March 18.

RCS served us well.  But now it is time to move on.   And so we are
switching to git.

Calc releases produce a lot of file changes.  In the 125 releases
of calc since 1996, when I started managing calc releases, there
have been 15473 file mods!
2017-05-23 01:33:23 -07:00

292 lines
6.1 KiB
Plaintext

/*
* test3500 - 3500 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.
*
* Under source code control: 1995/12/18 22:50:46
* File existed as early as: 1995
*
* Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
*/
/*
* Stringent tests of the functions frem, fcnt, gcdrem.
*
* testf(n) gives n tests of frem(x,y) and fcnt(x,y) with randomly
* integers x and y generated so that x = f * y^k where f, y and
* k are randomly generated.
*
* testg(n) gives n tests of gcdrem(x,y) with x and y generated as for
* testf(n).
*
* testh(n,N) gives n tests of g = gcdrem(x,y) where x and y are products of
* powers of small primes some of which are common to both x and y.
* This test uses f = abs(x) and iteratively f = frem(f,p) where
* p varies over the prime divisors of y; the final value for f
* should equal g. For both x and y the primes are raised to the
* power rand(N); N defaults to 10.
*
* If verbose is > 1, the numbers x, y and values for some of the
* functions will be displayed. Numbers used in testf()
* and testg() occasionally have thousands of digits.
*
*/
defaultverbose = 1; /* default verbose value */
define testfrem(x,y,verbose)
{
local f, n;
if (isnull(verbose)) verbose = defaultverbose;
f = frem(x,y);
n = fcnt(x,y);
if (verbose > 1)
printf("frem = %d, fcnt = %d\n\n", f, n);
if (abs(x) != f * abs(y)^n)
return 1;
if (!ismult(x,y) || abs(y) <= 1) {
if (f != abs(x))
return 2;
if (n != 0)
return 3;
return 0;
}
if (x == 0) {
if (f != 0 || n != 0)
return 4;
return 0;
}
if (f < 0 || !isint(f) || n <= 0)
return 5;
if (ismult(f, y))
return 6;
if (!ismult(x, y^n))
return 7;
if (ismult(x, y^(n+1)))
return 8;
return 0;
}
define testgcdrem(x,y,verbose)
{
local d, q;
if (isnull(verbose)) verbose = defaultverbose;
d = gcdrem(x,y);
if (verbose > 1)
printf("gcdrem = %d\n\n", d);
if (y == 0) {
if (d != 1)
return 1;
return 0;
}
if (x == 0) {
if (d != 0)
return 2;
return 0;
}
if (d <= 0)
return 3;
q = x/d;
if (!isint(q))
return 4;
if (!isrel(d, y))
return 5;
if (!isrel(d, q))
return 6;
return 0;
}
define testf(str,n,verbose)
{
local m, x, y, i, k, y1, f1, f, fail;
if (isnull(verbose))
verbose = defaultverbose;
if (verbose > 0) {
print str:":",:;
}
m = 0;
for (i = 0; i < n; i++) {
y1 = rand(2^rand(1,6));
y = rand(-(2^y1), 1 + 2^y1);
f1 = rand(2^rand(1,11));
f = rand(-(2^f1), 1+2^f1);
k = rand(1,1+2^10);
x = f * y^k;
if (verbose > 1) {
printf("x = %d\n", x);
printf("y = %d\n", y);
}
fail = testfrem(x,y,verbose);
if (fail != 0) {
printf("*** Failure %d on loop %d\n", fail, i);
if (verbose > 1) {
printf(" x = %d\n", x);
printf(" y = %d\n", y);
}
m++;
}
}
if (verbose > 0) {
if (m) {
printf("*** %d error(s)\n", m);
} else {
printf("no errors\n");
}
}
return m;
}
define testg(str,n,verbose)
{
local m, x, y, i, k, y1, f1, f, fail;
if (isnull(verbose))
verbose = defaultverbose;
if (verbose > 0) {
print str:":",:;
}
m = 0;
for (i = 0; i < n; i++) {
y1 = rand(2^rand(1,6));
y = rand(-(2^y1), 1 + 2^y1);
f1 = rand(2^rand(1,11));
f = rand(-(2^f1), 1+2^f1);
k = rand(1,1+2^10);
x = f * y^k;
if (verbose > 1) {
printf("x = %d\n", x);
printf("y = %d\n", y);
}
fail = testgcdrem(x,y,verbose);
if (fail != 0) {
printf("*** Failure %d on loop %d\n", fail, i);
if (verbose > 1) {
printf(" x = %d\n", x);
printf(" y = %d\n", y);
}
m++;
}
}
if (verbose > 0) {
if (m) {
printf("*** %d error(s)\n", m);
} else {
printf("no errors\n");
}
}
return m;
}
define testh(str,n,N,verbose)
{
local m, i, x, y, f, g;
if (isnull(verbose))
verbose = defaultverbose;
if (verbose > 0) {
print str:":",:;
}
m = 0;
if (isnull(N))
N = 61;
for (i = 0; i < n; i ++) {
x = 2^rand(N)*3^rand(N) * 7^rand(N) * 11^rand(N) * 101^rand(N);
y = 2^rand(N) * 3^rand(N) * 5^rand(N) * 11^rand(N) * 53^rand(N);
if (rand(2)) x = -x;
if (rand(2)) y = -y;
if (verbose > 1) {
printf("x = %d\n", x);
printf("y = %d\n", y);
}
f = abs(x);
g = gcdrem(x,y);
if (ismult(y,2)) f = frem(f,2);
if (ismult(y,3)) f = frem(f,3);
if (ismult(y,5)) f = frem(f,5);
if (ismult(y,11)) f = frem(f,11);
if (ismult(y,53)) f = frem(f,53);
if (f != g) {
printf("*** Failure on loop %d\n", i);
if (verbose > 1) {
printf(" x = %d\n", x);
printf(" y = %d\n", y);
printf(" f = %d\n", f);
printf(" g = %d\n", g);
}
m++;
}
}
if (verbose > 0) {
if (m) {
printf("*** %d error(s)\n", m);
} else {
printf("no errors\n");
}
}
return m;
}
/*
* test3500 - perform all of the above tests a bunch of times
*/
define test3500(verbose, tnum, n, N)
{
/* set test parameters */
if (isnull(verbose)) {
verbose = defaultverbose;
}
if (isnull(tnum)) {
tnum = 3501; /* default test number */
}
if (isnull(n)) {
n = 200;
}
if (isnull(N)) {
N = 61;
}
/*
* test a lot of stuff
*/
srand(3500e3500);
err += testf(strcat(str(tnum++), ": frem/fcnt"), n, verbose);
err += testg(strcat(str(tnum++), ": gcdrem"), n, verbose);
err += testh(strcat(str(tnum++),": gcdrem #2"), n, N, verbose);
if (verbose > 1) {
if (err) {
print "***", err, "error(s) found in testall";
} else {
print "no errors in testall";
}
}
return tnum;
}