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/* fltest.c
* Test program for floor(), frexp(), ldexp()
*/
/*
Cephes Math Library Release 2.1: December, 1988
Copyright 1984, 1987, 1988 by Stephen L. Moshier (moshier@world.std.com)
*/
/*#include <math.h>*/
#define MACHEPL 5.42101086242752217003726400434970855712890625E-20L
#define N 16300
void flierr();
int printf();
void exit();
int
main()
{
long double x, y, y0, z, f, x00, y00;
int i, j, e, e0;
int errfr, errld, errfl, underexp, err, errth, e00;
long double frexpl(), ldexpl(), floorl();
/*
if( 1 )
goto flrtst;
*/
printf( "Testing frexpl() and ldexpl().\n" );
errth = 0.0L;
errfr = 0;
errld = 0;
underexp = 0;
f = 1.0L;
x00 = 2.0L;
y00 = 0.5L;
e00 = 2;
for( j=0; j<20; j++ )
{
if( j == 10 )
{
f = 1.0L;
x00 = 2.0L;
e00 = 1;
/* Find 2**(2**14) / 2 */
for( i=0; i<13; i++ )
{
x00 *= x00;
e00 += e00;
}
y00 = x00/2.0L;
x00 = x00 * y00;
e00 += e00;
y00 = 0.5L;
}
x = x00 * f;
y0 = y00 * f;
e0 = e00;
#if 1
/* If ldexp, frexp support denormal numbers, this should work. */
for( i=0; i<16448; i++ )
#else
for( i=0; i<16383; i++ )
#endif
{
x /= 2.0L;
e0 -= 1;
if( x == 0.0L )
{
if( f == 1.0L )
underexp = e0;
y0 = 0.0L;
e0 = 0;
}
y = frexpl( x, &e );
if( (e0 < -16383) && (e != e0) )
{
if( e == (e0 - 1) )
{
e += 1;
y /= 2.0L;
}
if( e == (e0 + 1) )
{
e -= 1;
y *= 2.0L;
}
}
err = y - y0;
if( y0 != 0.0L )
err /= y0;
if( err < 0.0L )
err = -err;
if( e0 > -1023 )
errth = 0.0L;
else
{/* Denormal numbers may have rounding errors */
if( e0 == -16383 )
{
errth = 2.0L * MACHEPL;
}
else
{
errth *= 2.0L;
}
}
if( (x != 0.0L) && ((err > errth) || (e != e0)) )
{
printf( "Test %d: ", j+1 );
printf( " frexpl( %.20Le) =?= %.20Le * 2**%d;", x, y, e );
printf( " should be %.20Le * 2**%d\n", y0, e0 );
errfr += 1;
}
y = ldexpl( x, 1-e0 );
err = y - 1.0L;
if( err < 0.0L )
err = -err;
if( (err > errth) && ((x == 0.0L) && (y != 0.0L)) )
{
printf( "Test %d: ", j+1 );
printf( "ldexpl( %.15Le, %d ) =?= %.15Le;", x, 1-e0, y );
if( x != 0.0L )
printf( " should be %.15Le\n", f );
else
printf( " should be %.15Le\n", 0.0L );
errld += 1;
}
if( x == 0.0L )
{
break;
}
}
f = f * 1.08005973889L;
}
if( (errld == 0) && (errfr == 0) )
{
printf( "No errors found.\n" );
}
/*flrtst:*/
printf( "Testing floorl().\n" );
errfl = 0;
f = 1.0L/MACHEPL;
x00 = 1.0L;
for( j=0; j<57; j++ )
{
x = x00 - 1.0L;
for( i=0; i<128; i++ )
{
y = floorl(x);
if( y != x )
{
flierr( x, y, j );
errfl += 1;
}
/* Warning! the if() statement is compiler dependent,
* since x-0.49 may be held in extra precision accumulator
* so would never compare equal to x! The subroutine call
* y = floor() forces z to be stored as a double and reloaded
* for the if() statement.
*/
z = x - 0.49L;
y = floorl(z);
if( z == x )
break;
if( y != (x - 1.0L) )
{
flierr( z, y, j );
errfl += 1;
}
z = x + 0.49L;
y = floorl(z);
if( z != x )
{
if( y != x )
{
flierr( z, y, j );
errfl += 1;
}
}
x = -x;
y = floorl(x);
if( z != x )
{
if( y != x )
{
flierr( x, y, j );
errfl += 1;
}
}
z = x + 0.49L;
y = floorl(z);
if( z != x )
{
if( y != x )
{
flierr( z, y, j );
errfl += 1;
}
}
z = x - 0.49L;
y = floorl(z);
if( z != x )
{
if( y != (x - 1.0L) )
{
flierr( z, y, j );
errfl += 1;
}
}
x = -x;
x += 1.0L;
}
x00 = x00 + x00;
}
y = floorl(0.0L);
if( y != 0.0L )
{
flierr( 0.0L, y, 57 );
errfl += 1;
}
y = floorl(-0.0L);
if( y != 0.0L )
{
flierr( -0.0L, y, 58 );
errfl += 1;
}
y = floorl(-1.0L);
if( y != -1.0L )
{
flierr( -1.0L, y, 59 );
errfl += 1;
}
y = floorl(-0.1L);
if( y != -1.0l )
{
flierr( -0.1L, y, 60 );
errfl += 1;
}
if( errfl == 0 )
printf( "No errors found in floorl().\n" );
exit(0);
return 0;
}
void flierr( x, y, k )
long double x, y;
int k;
{
printf( "Test %d: ", k+1 );
printf( "floorl(%.15Le) =?= %.15Le\n", x, y );
}
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