📄 ieetst.c
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/* Floating point to ASCII input and output string test program.
*
* Numbers in the native machine data structure are converted
* to e type, then to and from decimal ASCII strings. Native
* printf() and scanf() functions are also used to produce
* and read strings. The resulting e type binary values
* are compared, with diagnostic printouts of any discrepancies.
*
* Steve Moshier, 16 Dec 88
* last revision: 16 May 92
*/
#include "ehead.h"
#include "mconf.h"
/* Include tests of 80-bit long double precision: */
#define LDOUBLE 0
/* Abort subtest after getting this many errors: */
#define MAXERR 5
/* Number of random arguments to try (set as large as you have
* patience for): */
#define NRAND 100
/* Perform internal consistency test: */
#define CHKINTERNAL 0
static unsigned short fullp[NE], rounded[NE];
float prec24, sprec24, ssprec24;
double prec53, sprec53, ssprec53;
#if LDOUBLE
long double prec64, sprec64, ssprec64;
#endif
static unsigned short rprint[NE], rscan[NE];
static unsigned short q1[NE], q2[NE], q5[NE];
static unsigned short e1[NE], e2[NE], e3[NE];
static double d1, d2;
static int errprint = 0;
static int errscan = 0;
static int identerr = 0;
static int errtot = 0;
static int count = 0;
static char str0[80], str1[80], str2[80], str3[80];
static unsigned short eten[NE], maxm[NE];
int m, n, k2, mprec, SPREC;
char *Ten = "10.0";
char tformat[10];
char *format24 = "%.8e";
#ifdef DEC
char *format53 = "%.17e";
#else
char *format53 = "%.16e";
#endif
char *fformat24 = "%e";
char *fformat53 = "%le";
char *pct = "%";
char *quo = "\042";
#if LDOUBLE
char *format64 = "%.20Le";
char *fformat64 = "%Le";
#endif
char *format;
char *fformat;
char *toomany = "Too many errors; aborting this test.\n";
static int mnrflag;
static int etrflag;
void chkit(), printerr(), mnrand(), etrand(), shownoncrit();
void chkid(), pvec();
main()
{
int i, iprec;
printf( "Steve Moshier's printf/scanf tester, version 0.2.\n\n" );
#ifdef DEC
/* DEC PDP-11/VAX single precision not yet implemented */
for( iprec = 1; iprec<2; iprec++ )
#else
for( iprec = 0; iprec<3; iprec++ )
#endif
{
errscan = 0;
identerr = 0;
errprint = 0;
eclear( rprint );
eclear( rscan );
switch( iprec )
{
case 0:
SPREC = 8; /* # digits after the decimal point */
mprec = 24; /* # bits in the significand */
m = 9; /* max # decimal digits for correct rounding */
n = 13; /* max power of ten for correct rounding */
k2 = -125; /* underflow beyond 2^-k2 */
format = format24; /* printf format string */
fformat = fformat24; /* scanf format string */
mnrflag = 1; /* sets interval for random numbers */
etrflag = 1;
printf( "Testing FLOAT precision.\n" );
break;
case 1:
#ifdef DEC
SPREC = 17;
mprec = 56;
m = 17;
n = 27;
k2 = -125;
format = format53;
fformat = fformat53;
mnrflag = 2;
etrflag = 1;
printf( "Testing DEC DOUBLE precision.\n" );
break;
#else
SPREC = 16;
mprec = 53;
m = 17;
n = 27;
k2 = -1021;
format = format53;
fformat = fformat53;
mnrflag = 2;
etrflag = 2;
printf( "Testing DOUBLE precision.\n" );
break;
#endif
case 2:
#if LDOUBLE
SPREC = 20;
mprec = 64;
m = 20;
n = 34;
k2 = -16382;
format = format64;
fformat = fformat64;
mnrflag = 3;
etrflag = 3;
printf( "Testing LONG DOUBLE precision.\n" );
break;
#else
goto nodenorm;
#endif
}
asctoe( Ten, eten );
/* 10^m - 1 */
d2 = m;
e53toe( &d2, e1 );
epow( eten, e1, maxm );
esub( eone, maxm, maxm );
/* test 1 */
printf( "1. Checking 10^n - 1 for n = %d to %d.\n", -m, m );
emov( eone, q5 );
for( count=0; count<=m; count++ )
{
esub( eone, q5, fullp );
chkit( 1 );
ediv( q5, eone, q2 );
esub( eone, q2, fullp );
chkit( 1 );
emul( eten, q5, q5 );
if( errtot >= MAXERR )
{
printf( "%s", toomany );
goto end1;
}
}
end1:
printerr();
/* test 2 */
printf( "2. Checking powers of 10 from 10^-%d to 10^%d.\n", n, n );
emov( eone, q5 );
for( count=0; count<=n; count++ )
{
emov( q5, fullp );
chkit( 2 );
ediv( q5, eone, fullp );
chkit( 2 );
emul( eten, q5, q5 );
if( errtot >= MAXERR )
{
printf( "%s", toomany );
goto end2;
}
}
end2:
printerr();
/* test 3 */
printf( "3. Checking (10^%d-1)*10^n from n = -%d to %d.\n", m, n, n );
emov( eone, q5 );
for( count= -n; count<=n; count++ )
{
emul( maxm, q5, fullp );
chkit( 3 );
emov( q5, fullp );
ediv( fullp, eone, fullp );
emul( maxm, fullp, fullp );
chkit( 3 );
emul( eten, q5, q5 );
if( errtot >= MAXERR )
{
printf( "%s", toomany );
goto end3;
}
}
end3:
printerr();
/* test 4 */
printf( "4. Checking powers of 2 from 2^-24 to 2^+56.\n" );
d1 = -24.0;
e53toe( &d1, q1 );
epow( etwo, q1, q5 );
for( count = -24; count <= 56; count++ )
{
emov( q5, fullp );
chkit( 4 );
emul( etwo, q5, q5 );
if( errtot >= MAXERR )
{
printf( "%s", toomany );
goto end4;
}
}
end4:
printerr();
/* test 5 */
printf( "5. Checking 2^n - 1 for n = 0 to %d.\n", mprec );
emov( eone, q5 );
for( count=0; count<=mprec; count++ )
{
esub( eone, q5, fullp );
chkit( 5 );
emul( etwo, q5, q5 );
if( errtot >= MAXERR )
{
printf( "%s", toomany );
goto end5;
}
}
end5:
printerr();
/* test 6 */
printf( "6. Checking 2^n + 1 for n = 0 to %d.\n", mprec );
emov( eone, q5 );
for( count=0; count<=mprec; count++ )
{
eadd( eone, q5, fullp );
chkit( 6 );
emul( etwo, q5, q5 );
if( errtot >= MAXERR )
{
printf( "%s", toomany );
goto end6;
}
}
end6:
printerr();
/* test 7 */
printf(
"7. Checking %d values M * 10^N with random integer M and N,\n",
NRAND );
printf(" 1 <= M <= 10^%d - 1 and -%d <= N <= +%d.\n", m, n, n );
for( i=0; i<NRAND; i++ )
{
mnrand( fullp );
chkit( 7 );
if( errtot >= MAXERR )
{
printf( "%s", toomany );
goto end7;
}
}
end7:
printerr();
/* test 8 */
printf("8. Checking critical rounding cases.\n" );
for( i=0; i<20; i++ )
{
mnrand( fullp );
eabs( fullp );
if( ecmp( fullp, eone ) < 0 )
ediv( fullp, eone, fullp );
efloor( fullp, fullp );
eadd( ehalf, fullp, fullp );
chkit( 8 );
if( errtot >= MAXERR )
{
printf( "%s", toomany );
goto end8;
}
}
end8:
printerr();
/* test 9 */
printf("9. Testing on %d random non-denormal values.\n", NRAND );
for( i=0; i<NRAND; i++ )
{
etrand( fullp );
chkit( 9 );
}
printerr();
shownoncrit();
/* test 10 */
printf(
"Do you want to check denormal numbers in this precision ? (y/n) " );
gets( str0 );
if( str0[0] != 'y' )
goto nodenorm;
printf( "10. Checking denormal numbers.\n" );
/* Form 2^-starting power */
d1 = k2;
e53toe( &d1, q1 );
epow( etwo, q1, e1 );
/* Find 2^-mprec less than starting power */
d1 = -mprec + 4;
e53toe( &d1, q1 );
epow( etwo, q1, e3 );
emul( e1, e3, e3 );
emov( e3, e2 );
ediv( etwo, e2, e2 );
while( ecmp(e1,e2) != 0 )
{
eadd( e1, e2, fullp );
switch( mprec )
{
#if LDOUBLE
case 64:
etoe64( e1, &sprec64 );
e64toe( &sprec64, q1 );
etoe64( fullp, &prec64 );
e64toe( &prec64, q2 );
break;
#endif
#ifdef DEC
case 56:
#endif
case 53:
etoe53( e1, &sprec53 );
e53toe( &sprec53, q1 );
etoe53( fullp, &prec53 );
e53toe( &prec53, q2 );
break;
case 24:
etoe24( e1, &sprec24 );
e24toe( &sprec24, q1 );
etoe24( fullp, &prec24 );
e24toe( &prec24, q2 );
break;
}
if( ecmp( q2, ezero ) == 0 )
goto maxden;
chkit(10);
if( ecmp(q1,q2) == 0 )
{
ediv( etwo, e1, e1 );
emov( e3, e2 );
}
if( errtot >= MAXERR )
{
printf( "%s", toomany );
goto maxden;
}
ediv( etwo, e2, e2 );
}
maxden:
printerr();
nodenorm:
printf( "\n" );
} /* loop on precision */
printf( "End of test.\n" );
}
#if CHKINTERNAL
long double xprec64;
double xprec53;
float xprec24;
/* Check binary -> printf -> scanf -> binary identity
* of internal routines
*/
void chkinternal( ref, tst, string )
unsigned short ref[], tst[];
char *string;
{
if( ecmp(ref,tst) != 0 )
{
printf( "internal identity compare error!\n" );
chkid( ref, tst, string );
}
}
#endif
/* Check binary -> printf -> scanf -> binary identity
*/
void chkid( print, scan, string )
unsigned short print[], scan[];
char *string;
{
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