📄 ieetst.c
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/* Test printf-scanf identity */
if( ecmp( print, scan ) != 0 )
{
pvec( print, NE );
printf( " ->printf-> %s ->scanf->\n", string );
pvec( scan, NE );
printf( " is not an identity.\n" );
++identerr;
}
}
/* Check scanf result
*/
void chkscan( ref, tst, string )
unsigned short ref[], tst[];
char *string;
{
/* Test scanf() */
if( ecmp( ref, tst ) != 0 )
{
printf( "scanf(%s) -> ", string );
pvec( tst, NE );
printf( "\n should be " );
pvec( ref, NE );
printf( ".\n" );
++errscan;
++errtot;
}
}
/* Test printf() result
*/
void chkprint( ref, tst, string )
unsigned short ref[], tst[];
char *string;
{
if( ecmp(ref, tst) != 0 )
{
printf( "printf( ");
pvec( ref, NE );
printf( ") -> %s\n", string );
printf( " = " );
pvec( tst, NE );
printf( ".\n" );
++errprint;
++errtot;
}
}
/* Print array of n 16-bit shorts
*/
void pvec( x, n )
unsigned short x[];
int n;
{
int i;
for( i=0; i<n; i++ )
{
printf( "%04x ", x[i] );
}
}
/* Measure worst case printf rounding error
*/
void cmpprint( ref, tst )
unsigned short ref[], tst[];
{
unsigned short e[NE];
if( ecmp( ref, ezero ) != 0 )
{
esub( ref, tst, e );
ediv( ref, e, e );
eabs( e );
if( ecmp( e, rprint ) > 0 )
emov( e, rprint );
}
}
/* Measure worst case scanf rounding error
*/
void cmpscan( ref, tst )
unsigned short ref[], tst[];
{
unsigned short er[NE];
if( ecmp( ref, ezero ) != 0 )
{
esub( ref, tst, er );
ediv( ref, er, er );
eabs( er );
if( ecmp( er, rscan ) > 0 )
emov( er, rscan );
if( ecmp( er, ehalf ) > 0 )
{
etoasc( tst, str1, 21 );
printf( "Bad error: scanf(%s) = %s !\n", str0, str1 );
}
}
}
/* Check rounded-down decimal string output of printf
*/
void cmptrunc( ref, tst )
unsigned short ref[], tst[];
{
if( ecmp( ref, tst ) != 0 )
{
printf( "printf(%s%s%s, %s) -> %s\n", quo, tformat, quo, str1, str2 );
printf( "should be %s .\n", str3 );
errprint += 1;
}
}
void shownoncrit()
{
etoasc( rprint, str0, 3 );
printf( "Maximum relative printf error found = %s .\n", str0 );
etoasc( rscan, str0, 3 );
printf( "Maximum relative scanf error found = %s .\n", str0 );
}
/* Produce arguments and call comparison subroutines.
*/
void chkit( testno )
int testno;
{
unsigned short t[NE], u[NE], v[NE];
int j;
switch( mprec )
{
#if LDOUBLE
case 64:
etoe64( fullp, &prec64 );
e64toe( &prec64, rounded );
#if CHKINTERNAL
e64toasc( &prec64, str1, SPREC );
asctoe64( str1, &xprec64 );
e64toe( &xprec64, t );
chkinternal( rounded, t, str1 );
#endif
/* check printf and scanf */
sprintf( str2, format, prec64 );
sscanf( str2, fformat, &sprec64 );
e64toe( &sprec64, u );
chkid( rounded, u, str2 );
asctoe64( str2, &ssprec64 );
e64toe( &ssprec64, v );
chkscan( v, u, str2 );
chkprint( rounded, v, str2 );
if( testno < 8 )
break;
/* rounding error measurement */
etoasc( fullp, str0, 24 );
etoe64( fullp, &ssprec64 );
e64toe( &ssprec64, u );
sprintf( str2, format, ssprec64 );
asctoe( str2, t );
cmpprint( u, t );
sscanf( str0, fformat, &sprec64 );
e64toe( &sprec64, t );
cmpscan( fullp, t );
if( testno < 8 )
break;
/* strings rounded to less than maximum precision */
e64toasc( &ssprec64, str1, 24 );
for( j=SPREC-1; j>0; j-- )
{
e64toasc( &ssprec64, str3, j );
asctoe( str3, v );
sprintf( tformat, "%s.%dLe", pct, j );
sprintf( str2, tformat, ssprec64 );
asctoe( str2, t );
cmptrunc( v, t );
}
break;
#endif
#ifdef DEC
case 56:
#endif
case 53:
etoe53( fullp, &prec53 );
e53toe( &prec53, rounded );
#if CHKINTERNAL
e53toasc( &prec53, str1, SPREC );
asctoe53( str1, &xprec53 );
e53toe( &xprec53, t );
chkinternal( rounded, t, str1 );
#endif
sprintf( str2, format, prec53 );
sscanf( str2, fformat, &sprec53 );
e53toe( &sprec53, u );
chkid( rounded, u, str2 );
asctoe53( str2, &ssprec53 );
e53toe( &ssprec53, v );
chkscan( v, u, str2 );
chkprint( rounded, v, str2 );
if( testno < 8 )
break;
/* rounding error measurement */
etoasc( fullp, str0, 24 );
etoe53( fullp, &ssprec53 );
e53toe( &ssprec53, u );
sprintf( str2, format, ssprec53 );
asctoe( str2, t );
cmpprint( u, t );
sscanf( str0, fformat, &sprec53 );
e53toe( &sprec53, t );
cmpscan( fullp, t );
if( testno < 8 )
break;
e53toasc( &ssprec53, str1, 24 );
for( j=SPREC-1; j>0; j-- )
{
e53toasc( &ssprec53, str3, j );
asctoe( str3, v );
sprintf( tformat, "%s.%de", pct, j );
sprintf( str2, tformat, ssprec53 );
asctoe( str2, t );
cmptrunc( v, t );
}
break;
case 24:
etoe24( fullp, &prec24 );
e24toe( &prec24, rounded );
#if CHKINTERNAL
e24toasc( &prec24, str1, SPREC );
asctoe24( str1, &xprec24 );
e24toe( &xprec24, t );
chkinternal( rounded, t, str1 );
#endif
sprintf( str2, format, prec24 );
sscanf( str2, fformat, &sprec24 );
e24toe( &sprec24, u );
chkid( rounded, u, str2 );
asctoe24( str2, &ssprec24 );
e24toe( &ssprec24, v );
chkscan( v, u, str2 );
chkprint( rounded, v, str2 );
if( testno < 8 )
break;
/* rounding error measurement */
etoasc( fullp, str0, 24 );
etoe24( fullp, &ssprec24 );
e24toe( &ssprec24, u );
sprintf( str2, format, ssprec24 );
asctoe( str2, t );
cmpprint( u, t );
sscanf( str0, fformat, &sprec24 );
e24toe( &sprec24, t );
cmpscan( fullp, t );
/*
if( testno < 8 )
break;
*/
e24toasc( &ssprec24, str1, 24 );
for( j=SPREC-1; j>0; j-- )
{
e24toasc( &ssprec24, str3, j );
asctoe( str3, v );
sprintf( tformat, "%s.%de", pct, j );
sprintf( str2, tformat, ssprec24 );
asctoe( str2, t );
cmptrunc( v, t );
}
break;
}
}
void printerr()
{
if( (errscan == 0) && (identerr == 0) && (errprint == 0) )
printf( "No errors found.\n" );
else
{
printf( "%d binary -> decimal errors found.\n", errprint );
printf( "%d decimal -> binary errors found.\n", errscan );
}
errscan = 0; /* reset for next test */
identerr = 0;
errprint = 0;
errtot = 0;
}
/* Random number generator
* in the range M * 10^N, where 1 <= M <= 10^17 - 1
* and -27 <= N <= +27. Test values of M are logarithmically distributed
* random integers; test values of N are uniformly distributed random integers.
*/
static char *fwidth = "1.036163291797320557783096e1"; /* log(sqrt(10^9-1)) */
static char *dwidth = "1.957197329044938830915E1"; /* log(sqrt(10^17-1)) */
static char *ldwidth = "2.302585092994045684017491e1"; /* log(sqrt(10^20-1)) */
static char *a13 = "13.0";
static char *a27 = "27.0";
static char *a34 = "34.0";
static char *a10m13 = "1.0e-13";
static unsigned short LOW[ NE ], WIDTH[NE], e27[NE], e10m13[NE];
void mnrand( erand )
unsigned short erand[];
{
unsigned short ea[NE], em[NE], en[NE], ex[NE];
double x, a;
if( mnrflag )
{
if( mnrflag == 3 )
{
asctoe( ldwidth, WIDTH );
asctoe( a34, e27 );
}
if( mnrflag == 2 )
{
asctoe( dwidth, WIDTH );
asctoe( a27, e27 );
}
if( mnrflag == 1 )
{
asctoe( fwidth, WIDTH );
asctoe( a13, e27 );
}
asctoe( a10m13, e10m13 );
mnrflag = 0;
}
drand( &x );
e53toe( &x, ex ); /* x = WIDTH * ( x - 1.0 ) + LOW; */
esub( eone, ex, ex );
emul( WIDTH, ex, ex );
eexp( ex, ex ); /* x = exp(x); */
drand( &a );
e53toe( &a, ea );
emul( ea, ex, ea ); /* a = 1.0e-13 * x * a; */
emul( e10m13, ea, ea );
eabs( ea );
eadd( ea, ex, ex ); /* add fuzz */
emul( ex, ex, ex ); /* square it, to get range to 10^17 - 1 */
efloor( ex, em ); /* this is M */
/* Random power of 10 */
drand( &a );
e53toe( &a, ex );
esub( eone, ex, ex ); /* y3 = 54.0 * ( y3 - 1.0 ) + 0.5; */
emul( e27, ex, ex );
eadd( ex, ex, ex );
eadd( ehalf, ex, ex );
efloor( ex, ex ); /* y3 = floor( y3 ) - 27.0; */
esub( e27, ex, en ); /* this is N */
epow( eten, en, ex );
emul( ex, em, erand );
}
/* -ln 2^16382 */
char *ldemin = "-1.1355137111933024058873097E4";
char *ldewid = "2.2710274223866048117746193E4";
/* -ln 2^1022 */
char *demin = "-7.0839641853226410622441123E2";
char *dewid = "1.4167928370645282124488225E3";
/* -ln 2^125 */
char *femin = "-8.6643397569993163677154015E1";
char *fewid = "1.7328679513998632735430803E2";
void etrand( erand )
unsigned short erand[];
{
unsigned short ea[NE], ex[NE];
double x, a;
if( etrflag )
{
if( etrflag == 3 )
{
asctoe( ldemin, LOW );
asctoe( ldewid, WIDTH );
asctoe( a34, e27 );
}
if( etrflag == 2 )
{
asctoe( demin, LOW );
asctoe( dewid, WIDTH );
asctoe( a27, e27 );
}
if( etrflag == 1 )
{
asctoe( femin, LOW );
asctoe( fewid, WIDTH );
asctoe( a13, e27 );
}
asctoe( a10m13, e10m13 );
etrflag = 0;
}
drand( &x );
e53toe( &x, ex ); /* x = WIDTH * ( x - 1.0 ) + LOW; */
esub( eone, ex, ex );
emul( WIDTH, ex, ex );
eadd( LOW, ex, ex );
eexp( ex, ex ); /* x = exp(x); */
/* add fuzz
*/
drand( &a );
e53toe( &a, ea );
emul( ea, ex, ea ); /* a = 1.0e-13 * x * a; */
emul( e10m13, ea, ea );
if( ecmp( ex, ezero ) > 0 )
eneg( ea );
eadd( ea, ex, erand );
}
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