static void
check3 (const char *as, mpfr_rnd_t rnd_mode, const char *qs)
{
mpfr_t q;
mpfr_init2 (q, 53);
mpfr_set_str1 (q, as);
test_sqrt (q, q, rnd_mode);
if (mpfr_cmp_str1 (q, qs) )
{
printf ("mpfr_sqrt failed for a=%s, rnd_mode=%s\n",
as, mpfr_print_rnd_mode (rnd_mode));
printf ("expected sqrt is %s, got ",qs);
mpfr_out_str (stdout, 10, 0, q, MPFR_RNDN);
putchar ('\n');
exit (1);
}
mpfr_clear (q);
}
static void
check53cos (const char *xs, const char *cos_xs, mpfr_rnd_t rnd_mode)
{
mpfr_t xx, c, s;
mpfr_inits2 (53, xx, s, c, (mpfr_ptr) 0);
mpfr_set_str1 (xx, xs); /* should be exact */
mpfr_sin_cos (s, c, xx, rnd_mode);
if (mpfr_cmp_str1 (c, cos_xs))
{
printf ("mpfr_sin_cos failed for x=%s, rnd=%s\n",
xs, mpfr_print_rnd_mode (rnd_mode));
printf ("mpfr_sin_cos gives cos(x)=");
mpfr_out_str(stdout, 10, 0, c, MPFR_RNDN);
printf(", expected %s\n", cos_xs);
exit (1);
}
mpfr_clears (xx, s, c, (mpfr_ptr) 0);
}
static void
check_diverse (const char *as, mpfr_prec_t p, const char *qs)
{
mpfr_t q;
mpfr_init2 (q, p);
mpfr_set_str1 (q, as);
test_sqrt (q, q, MPFR_RNDN);
if (mpfr_cmp_str1 (q, qs))
{
printf ("mpfr_sqrt failed for a=%s, prec=%lu, rnd_mode=%s\n",
as, (unsigned long) p, mpfr_print_rnd_mode (MPFR_RNDN));
printf ("expected sqrt is %s, got ", qs);
mpfr_out_str (stdout, 10, 0, q, MPFR_RNDN);
printf ("\n");
exit (1);
}
mpfr_clear (q);
}
/* check sign of result */
static void
check_sign (void)
{
mpfr_t a, b;
mpfr_init2 (a, 53);
mpfr_init2 (b, 53);
mpfr_set_si (a, -1, MPFR_RNDN);
mpfr_set_ui (b, 2, MPFR_RNDN);
test_mul(a, b, b, MPFR_RNDN);
if (mpfr_cmp_ui (a, 4) )
{
printf ("2.0*2.0 gives \n");
mpfr_out_str(stdout, 10, 0, a, MPFR_RNDN);
putchar('\n');
exit (1);
}
mpfr_clear(a); mpfr_clear(b);
}
static void
check_uj (uintmax_t u, mpfr_ptr x)
{
mpfr_t y;
int i;
mpfr_init2 (y, MPFR_PREC (x));
for (i = -1; i <= 1; i++)
{
int rnd;
mpfr_set_si_2exp (y, i, -2, MPFR_RNDN);
mpfr_add (y, y, x, MPFR_RNDN);
for (rnd = 0; rnd < MPFR_RND_MAX; rnd++)
{
uintmax_t r;
if (rnd == MPFR_RNDZ && i < 0)
continue;
if (rnd == MPFR_RNDD && i < 0)
continue;
if (rnd == MPFR_RNDU && i > 0)
continue;
if (rnd == MPFR_RNDA && ((MPFR_IS_POS(y) && i > 0) ||
(MPFR_IS_NEG(y) && i < 0)))
continue;
/* rint (y) == x == u */
r = mpfr_get_uj (y, (mpfr_rnd_t) rnd);
if (r != u)
{
printf ("Error in check_uj for y = ");
mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
printf (" in %s\n", mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
printf ("Got %ju instead of %ju.\n", r, u);
exit (1);
}
}
}
mpfr_clear (y);
}
SEXP print_mpfr1(SEXP x, SEXP digits)
{
mpfr_t r;
Rboolean use_x_digits = INTEGER(digits)[0] == NA_INTEGER;
mpfr_init2(r, R_mpfr_prec(x));
R_asMPFR(x, r);
/* Rprintf(" * [dbg] after R_asMPFR() ..\n"); */
mpfr_out_str (R_Outputfile, 10,
use_x_digits ? 0 : asInteger(digits),
r, MPFR_RNDD);
/* prints the value of s in base 10, rounded towards -Inf, where the third
argument 0 means that the number of printed digits is automatically
chosen from the precision of s; */
Rprintf("\n");
mpfr_clear (r);
mpfr_free_cache(); /* <- Manual 4.8 "Memory Handling" strongly advises ...*/
return x;
}
static void
check4 (const char *as, mpfr_rnd_t rnd_mode, const char *Qs)
{
mpfr_t q;
mpfr_init2 (q, 53);
mpfr_set_str1 (q, as);
test_sqrt (q, q, rnd_mode);
if (mpfr_cmp_str (q, Qs, 16, MPFR_RNDN))
{
printf ("mpfr_sqrt failed for a=%s, rnd_mode=%s\n",
as, mpfr_print_rnd_mode(rnd_mode));
printf ("expected ");
mpfr_out_str (stdout, 16, 0, q, MPFR_RNDN);
printf ("\ngot %s\n", Qs);
mpfr_clear (q);
exit (1);
}
mpfr_clear (q);
}
static void
check24 (const char *Ns, const char *Ds, mpfr_rnd_t rnd_mode, const char *Qs)
{
mpfr_t q, n, d;
mpfr_inits2 (24, q, n, d, (mpfr_ptr) 0);
mpfr_set_str1 (n, Ns);
mpfr_set_str1 (d, Ds);
test_div(q, n, d, rnd_mode);
if (mpfr_cmp_str1 (q, Qs) )
{
printf ("mpfr_div failed for n=%s, d=%s, prec=24, rnd_mode=%s\n",
Ns, Ds, mpfr_print_rnd_mode(rnd_mode));
printf ("expected quotient is %s, got ", Qs);
mpfr_out_str(stdout,10,0,q, MPFR_RNDN); putchar('\n');
exit (1);
}
mpfr_clears (q, n, d, (mpfr_ptr) 0);
}
/* checks that x*y gives the right result with 24 bits of precision */
static void
check24 (const char *xs, const char *ys, mpfr_rnd_t rnd_mode, const char *zs)
{
mpfr_t xx, yy, zz;
mpfr_inits2 (24, xx, yy, zz, (mpfr_ptr) 0);
mpfr_set_str1 (xx, xs);
mpfr_set_str1 (yy, ys);
test_mul (zz, xx, yy, rnd_mode);
if (mpfr_cmp_str1 (zz, zs) )
{
printf ("(3) mpfr_mul failed for x=%s y=%s with "
"rnd=%s\n", xs, ys, mpfr_print_rnd_mode(rnd_mode));
printf ("correct result is gives %s, mpfr_mul gives ", zs);
mpfr_out_str(stdout, 10, 0, zz, MPFR_RNDN);
putchar('\n');
exit (1);
}
mpfr_clears (xx, yy, zz, (mpfr_ptr) 0);
}
static void
check2 (const char *as, mp_rnd_t rnd_mode, const char *res1s)
{
mpfr_t ta, tres;
mpfr_inits2 (53, ta, tres, (mpfr_ptr) 0);
mpfr_set_str1 (ta, as);
test_log (tres, ta, rnd_mode);
if (mpfr_cmp_str1 (tres, res1s))
{
printf ("mpfr_log failed for a=%s, rnd_mode=%s\n",
as, mpfr_print_rnd_mode (rnd_mode));
printf ("correct result is %s\n mpfr_log gives ",
res1s);
mpfr_out_str(stdout, 10, 0, tres, GMP_RNDN);
exit (1);
}
mpfr_clears (ta, tres, (mpfr_ptr) 0);
}
static void
check (const char *ds, unsigned long u, mpfr_rnd_t rnd, const char *es)
{
mpfr_t x, y;
mpfr_init2 (x, 53);
mpfr_init2 (y, 53);
mpfr_set_str1 (x, ds);
mpfr_div_ui (y, x, u, rnd);
if (mpfr_cmp_str1 (y, es))
{
printf ("mpfr_div_ui failed for x=%s, u=%lu, rnd=%s\n", ds, u,
mpfr_print_rnd_mode (rnd));
printf ("expected result is %s, got", es);
mpfr_out_str(stdout, 10, 0, y, MPFR_RNDN);
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
check53b (const char *xs, const char *sin_xs, mpfr_rnd_t rnd_mode)
{
mpfr_t xx, s;
mpfr_init2 (xx, 53);
mpfr_init2 (s, 53);
mpfr_set_str (xx, xs, 2, MPFR_RNDN); /* should be exact */
test_sin (s, xx, rnd_mode);
if (mpfr_cmp_str (s, sin_xs, 2, MPFR_RNDN))
{
printf ("mpfr_sin failed in rounding mode %s for\n x = %s\n",
mpfr_print_rnd_mode (rnd_mode), xs);
printf (" got ");
mpfr_out_str (stdout, 2, 0, s, MPFR_RNDN);
printf ("\nexpected %s\n", sin_xs);
exit (1);
}
mpfr_clear (xx);
mpfr_clear (s);
}
static void
check53 (const char *xs, const char *sin_xs, mpfr_rnd_t rnd_mode)
{
mpfr_t xx, s;
mpfr_init2 (xx, 53);
mpfr_init2 (s, 53);
mpfr_set_str1 (xx, xs); /* should be exact */
test_sin (s, xx, rnd_mode);
if (mpfr_cmp_str1 (s, sin_xs))
{
printf ("mpfr_sin failed for x=%s, rnd=%s\n",
xs, mpfr_print_rnd_mode (rnd_mode));
printf ("mpfr_sin gives sin(x)=");
mpfr_out_str (stdout, 10, 0, s, MPFR_RNDN);
printf (", expected %s\n", sin_xs);
exit (1);
}
mpfr_clear (xx);
mpfr_clear (s);
}
/* returns the number of ulp of error */
static void
check3 (const char *op, mpfr_rnd_t rnd, const char *res)
{
mpfr_t x, y;
mpfr_inits2 (53, x, y, (mpfr_ptr) 0);
/* y negative. If we forget to set the sign in mpfr_exp, we'll see it. */
mpfr_set_si (y, -1, MPFR_RNDN);
mpfr_set_str1 (x, op);
test_exp (y, x, rnd);
if (mpfr_cmp_str1 (y, res) )
{
printf ("mpfr_exp failed for x=%s, rnd=%s\n",
op, mpfr_print_rnd_mode (rnd));
printf ("expected result is %s, got ", res);
mpfr_out_str (stdout, 10, 0, y, MPFR_RNDN);
putchar('\n');
exit (1);
}
mpfr_clears (x, y, (mpfr_ptr) 0);
}
int main (int argc, char **argv)
{
mpfr_t a, b, p;
mpfr_init2(a, 32);
mpfr_init2(b, 32);
mpfr_init2(p, 32);
// test 1
mpfr_set_str(a, "12345", 10, GMP_RNDN);
mpfr_set_str(b, "67890", 10, GMP_RNDN);
mpfr_mul (p, a, b, GMP_RNDN);
mpfr_out_str( stdout, 10, 0, a, GMP_RNDN);
fputs (" * ", stdout);
mpfr_out_str( stdout, 10, 0, b, GMP_RNDN);
fputs (" = ", stdout);
mpfr_out_str( stdout, 10, 0, p, GMP_RNDN);
fputc ('\n', stdout);
// test 2 (pi)
mpfr_set_str(a, "355", 10, GMP_RNDN);
mpfr_set_str(b, "113", 10, GMP_RNDN);
mpfr_div (p, a, b, GMP_RNDN);
mpfr_out_str( stdout, 10, 0, a, GMP_RNDN);
fputs (" / ", stdout);
mpfr_out_str( stdout, 10, 0, b, GMP_RNDN);
fputs (" = ", stdout);
mpfr_out_str( stdout, 10, 0, p, GMP_RNDN);
fputc ('\n', stdout);
fputs (">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>\n", stdout);
fputs (">>> If the first answer on your screen is 8.3810205000e8\n",
stdout);
fputs (">>> and the second answer on your screen is 3.1415929208\n",
stdout);
fputs ("\n>>> you have passed the mpfr test\n", stdout);
fputs (">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>\n", stdout);
mpfr_clear (a);
mpfr_clear (b);
mpfr_clear (p);
return 0;
}
static int
mpfr_printf_mpfr_print (FILE *stream, const struct printf_info *info,
const void * const *arg)
{
int length;
int org_type_logging;
/* TODO: Use much more flag from info */
mpfr_srcptr w = *((mpfr_srcptr *) (arg[0]));
mpfr_prec_t prec = mpfr_log_prec != 0 ? mpfr_log_prec
: info->width == -1 ? 0 : (mpfr_prec_t) info->width;
org_type_logging = mpfr_log_type;
mpfr_log_type = 0; /* We disable the logging during this print! */
if (info->alt)
length = fprintf (stream, "%lu", (unsigned long) MPFR_PREC (w));
else
length = mpfr_out_str (stream, mpfr_log_base, prec, w, MPFR_RNDN);
mpfr_log_type = org_type_logging;
return length;
}
static void
exp_range (void)
{
mpfr_t x;
mpfr_exp_t emin;
emin = mpfr_get_emin ();
set_emin (3);
mpfr_init2 (x, 8);
mpfr_set_ui (x, 5, MPFR_RNDN);
mpfr_exp2 (x, x, MPFR_RNDN);
set_emin (emin);
if (mpfr_nan_p (x) || mpfr_cmp_ui (x, 32) != 0)
{
printf ("Error in mpfr_exp2 for x = 5, with emin = 3\n");
printf ("Expected 32, got ");
mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
printf ("\n");
exit (1);
}
mpfr_clear (x);
}
static void
check4 (const char *as, const char *bs, mpfr_rnd_t rnd_mode, const char *res)
{
mpfr_t ta, tb, tres;
mpfr_inits2 (53, ta, tb, tres, (mpfr_ptr) 0);
mpfr_set_str1 (ta, as);
mpfr_set_str1 (tb, bs);
mpfr_agm(tres, ta, tb, rnd_mode);
if (mpfr_cmp_str1 (tres, res))
{
printf ("mpfr_agm failed for a=%s, b=%s, rnd_mode=%d\n",as,bs,rnd_mode);
printf ("expected result is %s, got ",res);
mpfr_out_str(stdout, 10, 0, tres, MPFR_RNDN);
putchar('\n');
exit (1);
}
mpfr_clears (ta, tb, tres, (mpfr_ptr) 0);
}
/* checks that xs+ys gives the expected result zs */
static void
check (const char *xs, const char *ys, mpfr_rnd_t rnd_mode,
unsigned int px, unsigned int py, unsigned int pz, const char *zs)
{
mpfr_t xx,yy,zz;
mpfr_init2 (xx, px);
mpfr_init2 (yy, py);
mpfr_init2 (zz, pz);
mpfr_set_str1 (xx, xs);
mpfr_set_str1 (yy, ys);
test_add (zz, xx, yy, rnd_mode);
if (mpfr_cmp_str1 (zz, zs) )
{
printf ("expected sum is %s, got ", zs);
mpfr_out_str(stdout, 10, 0, zz, MPFR_RNDN);
printf ("mpfr_add failed for x=%s y=%s with rnd_mode=%s\n",
xs, ys, mpfr_print_rnd_mode (rnd_mode));
exit (1);
}
mpfr_clears (xx, yy, zz, (mpfr_ptr) 0);
}
static void
overflows (void)
{
mpfr_t a, b;
/* bug found by Ming J. Tsai <*****@*****.**>, 4 Oct 2003 */
mpfr_init_set_str (a, "5.1e32", 10, GMP_RNDN);
mpfr_init (b);
test_pow (b, a, a, GMP_RNDN);
if (!(mpfr_inf_p (b) && mpfr_sgn (b) > 0))
{
printf ("Error for a^a for a=5.1e32\n");
printf ("Expected +Inf, got ");
mpfr_out_str (stdout, 10, 0, b, GMP_RNDN);
printf ("\n");
exit (1);
}
mpfr_clear(a);
mpfr_clear(b);
}
/* check sign of inexact flag */
static void
check_inexact (void)
{
mpfr_t x, y;
int inexact;
mpfr_init2 (x, 53);
mpfr_init2 (y, 53);
mpfr_set_str_binary (x,
"1.0000000000001001000110100100101000001101101011100101e2");
inexact = mpfr_exp (y, x, GMP_RNDN);
if (inexact <= 0)
{
printf ("Wrong inexact flag\n");
exit (1);
}
/* Bug due to wrong approximation of (x)/log2 */
mpfr_set_prec (x, 163);
mpfr_set_str (x, "-4.28ac8fceeadcda06bb56359017b1c81b85b392e7", 16,
GMP_RNDN);
mpfr_exp (x, x, GMP_RNDN);
if (mpfr_cmp_str (x, "3.fffffffffffffffffffffffffffffffffffffffe8@-2",
16, GMP_RNDN))
{
printf ("Error for x= -4.28ac8fceeadcda06bb56359017b1c81b85b392e7");
printf ("expected 3.fffffffffffffffffffffffffffffffffffffffe8@-2");
printf ("Got ");
mpfr_out_str (stdout, 16, 0, x, GMP_RNDN); putchar ('\n');
}
mpfr_clear (x);
mpfr_clear (y);
}
int
main (int argc, char *argv[])
{
mpfr_t x, y, r;
long q[1];
if (argc == 3) /* usage: tremquo x y (rnd=MPFR_RNDN implicit) */
{
mpfr_init2 (x, GMP_NUMB_BITS);
mpfr_init2 (y, GMP_NUMB_BITS);
mpfr_init2 (r, GMP_NUMB_BITS);
mpfr_set_str (x, argv[1], 10, MPFR_RNDN);
mpfr_set_str (y, argv[2], 10, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
printf ("r=");
mpfr_out_str (stdout, 10, 0, r, MPFR_RNDN);
printf (" q=%ld\n", q[0]);
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (r);
return 0;
}
tests_start_mpfr ();
bug20090227 ();
mpfr_init (x);
mpfr_init (y);
mpfr_init (r);
/* special values */
mpfr_set_nan (x);
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (r));
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_set_nan (y);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (r));
mpfr_set_inf (x, 1); /* +Inf */
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (r));
mpfr_set_inf (x, 1); /* +Inf */
mpfr_set_ui (y, 0, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (r));
mpfr_set_inf (x, 1); /* +Inf */
mpfr_set_inf (y, 1);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (r));
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_set_inf (y, 1);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_ui (r, 0) == 0 && MPFR_IS_POS (r));
MPFR_ASSERTN (q[0] == (long) 0);
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN); /* -0 */
mpfr_set_inf (y, 1);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_ui (r, 0) == 0 && MPFR_IS_NEG (r));
MPFR_ASSERTN (q[0] == (long) 0);
mpfr_set_ui (x, 17, MPFR_RNDN);
mpfr_set_inf (y, 1);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp (r, x) == 0);
MPFR_ASSERTN (q[0] == (long) 0);
mpfr_set_ui (x, 17, MPFR_RNDN);
mpfr_set_ui (y, 0, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_nan_p (r));
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_set_ui (y, 17, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_ui (r, 0) == 0 && MPFR_IS_POS (r));
MPFR_ASSERTN (q[0] == (long) 0);
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN);
mpfr_set_ui (y, 17, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_ui (r, 0) == 0 && MPFR_IS_NEG (r));
MPFR_ASSERTN (q[0] == (long) 0);
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
/* check four possible sign combinations */
mpfr_set_ui (x, 42, MPFR_RNDN);
mpfr_set_ui (y, 17, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_ui (r, 8) == 0);
MPFR_ASSERTN (q[0] == (long) 2);
mpfr_set_si (x, -42, MPFR_RNDN);
mpfr_set_ui (y, 17, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_si (r, -8) == 0);
MPFR_ASSERTN (q[0] == (long) -2);
mpfr_set_si (x, -42, MPFR_RNDN);
mpfr_set_si (y, -17, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_si (r, -8) == 0);
MPFR_ASSERTN (q[0] == (long) 2);
mpfr_set_ui (x, 42, MPFR_RNDN);
mpfr_set_si (y, -17, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_ui (r, 8) == 0);
MPFR_ASSERTN (q[0] == (long) -2);
mpfr_set_prec (x, 100);
mpfr_set_prec (y, 50);
mpfr_set_ui (x, 42, MPFR_RNDN);
mpfr_nextabove (x); /* 42 + 2^(-94) */
mpfr_set_ui (y, 21, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_ui_2exp (r, 1, -94) == 0);
MPFR_ASSERTN (q[0] == (long) 2);
mpfr_set_prec (x, 50);
mpfr_set_prec (y, 100);
mpfr_set_ui (x, 42, MPFR_RNDN);
mpfr_nextabove (x); /* 42 + 2^(-44) */
mpfr_set_ui (y, 21, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_ui_2exp (r, 1, -44) == 0);
MPFR_ASSERTN (q[0] == (long) 2);
mpfr_set_prec (x, 100);
mpfr_set_prec (y, 50);
mpfr_set_ui (x, 42, MPFR_RNDN);
mpfr_set_ui (y, 21, MPFR_RNDN);
mpfr_nextabove (y); /* 21 + 2^(-45) */
mpfr_remquo (r, q, x, y, MPFR_RNDN);
/* r should be 42 - 2*(21 + 2^(-45)) = -2^(-44) */
MPFR_ASSERTN (mpfr_cmp_si_2exp (r, -1, -44) == 0);
MPFR_ASSERTN (q[0] == (long) 2);
mpfr_set_prec (x, 50);
mpfr_set_prec (y, 100);
mpfr_set_ui (x, 42, MPFR_RNDN);
mpfr_set_ui (y, 21, MPFR_RNDN);
mpfr_nextabove (y); /* 21 + 2^(-95) */
mpfr_remquo (r, q, x, y, MPFR_RNDN);
/* r should be 42 - 2*(21 + 2^(-95)) = -2^(-94) */
MPFR_ASSERTN (mpfr_cmp_si_2exp (r, -1, -94) == 0);
MPFR_ASSERTN (q[0] == (long) 2);
/* exercise large quotient */
mpfr_set_ui_2exp (x, 1, 65, MPFR_RNDN);
mpfr_set_ui (y, 1, MPFR_RNDN);
/* quotient is 2^65 */
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_si (r, 0) == 0);
MPFR_ASSERTN (q[0] % 1073741824L == 0L);
/* another large quotient */
mpfr_set_prec (x, 65);
mpfr_set_prec (y, 65);
mpfr_const_pi (x, MPFR_RNDN);
mpfr_mul_2exp (x, x, 63, MPFR_RNDN);
mpfr_const_log2 (y, MPFR_RNDN);
mpfr_set_prec (r, 10);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
/* q should be 41803643793084085130, r should be 605/2048 */
MPFR_ASSERTN (mpfr_cmp_ui_2exp (r, 605, -11) == 0);
MPFR_ASSERTN ((q[0] > 0) && ((q[0] % 1073741824L) == 733836170L));
/* check cases where quotient is 1.5 +/- eps */
mpfr_set_prec (x, 65);
mpfr_set_prec (y, 65);
mpfr_set_prec (r, 63);
mpfr_set_ui (x, 3, MPFR_RNDN);
mpfr_set_ui (y, 2, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
/* x/y = 1.5, quotient should be 2 (even rule), remainder should be -1 */
MPFR_ASSERTN (mpfr_cmp_si (r, -1) == 0);
MPFR_ASSERTN (q[0] == 2L);
mpfr_set_ui (x, 3, MPFR_RNDN);
mpfr_nextabove (x); /* 3 + 2^(-63) */
mpfr_set_ui (y, 2, MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
/* x/y = 1.5 + 2^(-64), quo should be 2, r should be -1 + 2^(-63) */
MPFR_ASSERTN (mpfr_add_ui (r, r, 1, MPFR_RNDN) == 0);
MPFR_ASSERTN (mpfr_cmp_ui_2exp (r, 1, -63) == 0);
MPFR_ASSERTN (q[0] == 2L);
mpfr_set_ui (x, 3, MPFR_RNDN);
mpfr_set_ui (y, 2, MPFR_RNDN);
mpfr_nextabove (y); /* 2 + 2^(-63) */
mpfr_remquo (r, q, x, y, MPFR_RNDN);
/* x/y = 1.5 - eps, quo should be 1, r should be 1 - 2^(-63) */
MPFR_ASSERTN (mpfr_sub_ui (r, r, 1, MPFR_RNDN) == 0);
MPFR_ASSERTN (mpfr_cmp_si_2exp (r, -1, -63) == 0);
MPFR_ASSERTN (q[0] == 1L);
/* bug founds by Kaveh Ghazi, 3 May 2007 */
mpfr_set_ui (x, 2, MPFR_RNDN);
mpfr_set_ui (y, 3, MPFR_RNDN);
mpfr_remainder (r, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_si (r, -1) == 0);
mpfr_set_si (x, -1, MPFR_RNDN);
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_remainder (r, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_si (r, 0) == 0 && MPFR_SIGN (r) < 0);
/* check argument reuse */
mpfr_set_si (x, -1, MPFR_RNDN);
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_remainder (x, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_cmp_si (x, 0) == 0 && MPFR_SIGN (x) < 0);
mpfr_set_ui_2exp (x, 1, mpfr_get_emax () - 1, MPFR_RNDN);
mpfr_set_ui_2exp (y, 1, mpfr_get_emin (), MPFR_RNDN);
mpfr_remquo (r, q, x, y, MPFR_RNDN);
MPFR_ASSERTN (mpfr_zero_p (r) && MPFR_SIGN (r) > 0);
MPFR_ASSERTN (q[0] == 0);
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (r);
tests_end_mpfr ();
return 0;
}
int
main (int argc, char *argv[])
{
mpfr_t x, y;
long n;
mpfr_prec_t prec = 53;
tests_start_mpfr ();
mpfr_init (x);
mpfr_init (y);
if (argc != 1)
{
if (argc != 4)
{
printf ("Usage: tyn n x prec\n");
exit (1);
}
n = atoi (argv[1]);
prec = atoi (argv[3]);
mpfr_set_prec (x, prec);
mpfr_set_prec (y, prec);
mpfr_set_str (x, argv[2], 10, MPFR_RNDN);
mpfr_yn (y, n, x, MPFR_RNDN);
printf ("Y(%ld,", n);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
printf (")=");
mpfr_out_str (stdout, 10, 0, y, MPFR_RNDN);
printf ("\n");
goto end;
}
/* special values */
mpfr_set_nan (x);
mpfr_yn (y, 17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (y));
mpfr_set_inf (x, 1); /* +Inf */
mpfr_yn (y, 17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
mpfr_set_inf (x, -1); /* -Inf */
mpfr_yn (y, 17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_nan_p (y));
mpfr_set_ui (x, 0, MPFR_RNDN); /* +0 */
mpfr_yn (y, 0, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y0(+0)=-Inf */
mpfr_yn (y, 17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y17(+0)=-Inf */
mpfr_yn (y, -17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_POS (y)); /* y(-17,+0)=+Inf */
mpfr_yn (y, -42, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y(-42,+0)=-Inf */
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_neg (x, x, MPFR_RNDN); /* -0 */
mpfr_yn (y, 0, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y0(-0)=-Inf */
mpfr_yn (y, 17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y17(-0)=-Inf */
mpfr_yn (y, -17, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_POS (y)); /* y(-17,-0)=+Inf */
mpfr_yn (y, -42, x, MPFR_RNDN);
MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y(-42,-0)=-Inf */
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_yn (y, 0, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.00010110100110000000001000100110111100110101100011011111");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_yn for n=0, x=1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_yn (y, 1, x, MPFR_RNDN);
mpfr_set_str_binary (x, "-0.110001111111110110010000001111101011001101011100101");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_yn for n=1, x=1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_yn (y, -1, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.110001111111110110010000001111101011001101011100101");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_yn for n=-1, x=1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_yn (y, 2, x, MPFR_RNDN);
mpfr_set_str_binary (x, "-1.101001101001001100100010101001000101101000010010001");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_yn for n=2, x=1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_yn (y, -2, x, MPFR_RNDN);
mpfr_set_str_binary (x, "-1.101001101001001100100010101001000101101000010010001");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_yn for n=-2, x=1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_yn (y, 17, x, MPFR_RNDN);
mpfr_set_str_binary (x, "-0.11000100111000100010101101011000110011001101100001011E60");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_yn for n=17, x=1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_yn (y, -17, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.11000100111000100010101101011000110011001101100001011E60");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_yn for n=-17, x=1, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
mpfr_set_ui (x, 17, MPFR_RNDN);
mpfr_yn (y, 1, x, MPFR_RNDN);
mpfr_set_str_binary (x, "0.00101010110011011111001100000001101011011001111111");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_yn for n=1, x=17, rnd=MPFR_RNDN\n");
printf ("Expected "); mpfr_dump (x);
printf ("Got "); mpfr_dump (y);
exit (1);
}
end:
mpfr_clear (x);
mpfr_clear (y);
tests_end_mpfr ();
return 0;
}
static void
check_special (void)
{
mpfr_t x, y;
int res;
char *s;
mpfr_init (x);
mpfr_init (y);
/* Check dummy case */
res = mpfr_strtofr (x, "1234567.89E1", NULL, 10, MPFR_RNDN);
mpfr_set_str (y, "1234567.89E1", 10, MPFR_RNDN);
if (mpfr_cmp (x, y))
{
printf ("Results differ between strtofr and set_str.\n"
" set_str gives: ");
mpfr_dump (y);
printf (" strtofr gives: ");
mpfr_dump (x);
exit (1);
}
/* Check NAN */
mpfr_set_ui (x, 0, MPFR_RNDN); /* make sure that x is modified */
res = mpfr_strtofr (x, "NaN", &s, 10, MPFR_RNDN);
if (res != 0 || !mpfr_nan_p (x) || *s != 0)
{
printf ("Error for setting NAN (1)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN); /* make sure that x is modified */
res = mpfr_strtofr (x, "+NaN", &s, 10, MPFR_RNDN);
if (res != 0 || !mpfr_nan_p (x) || *s != 0)
{
printf ("Error for setting +NAN (1)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN); /* make sure that x is modified */
res = mpfr_strtofr (x, " -NaN", &s, 10, MPFR_RNDN);
if (res != 0 || !mpfr_nan_p (x) || *s != 0)
{
printf ("Error for setting -NAN (1)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN); /* make sure that x is modified */
res = mpfr_strtofr (x, "@nAn@xx", &s, 16, MPFR_RNDN);
if (res != 0 || !mpfr_nan_p (x) || strcmp(s, "xx") )
{
printf ("Error for setting NAN (2)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN); /* make sure that x is modified */
res = mpfr_strtofr (x, "NAN(abcdEDF__1256)Hello", &s, 10, MPFR_RNDN);
if (res != 0 || !mpfr_nan_p (x) || strcmp(s, "Hello") )
{
printf ("Error for setting NAN (3)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN); /* make sure that x is modified */
res = mpfr_strtofr (x, "NAN(abcdEDF)__1256)Hello", &s, 10, MPFR_RNDN);
if (res != 0 || !mpfr_nan_p (x) || strcmp(s, "__1256)Hello") )
{
printf ("Error for setting NAN (4)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN); /* make sure that x is modified */
res = mpfr_strtofr (x, "NAN(abc%dEDF)__1256)Hello", &s, 10, MPFR_RNDN);
if (res != 0 || !mpfr_nan_p (x) || strcmp(s, "(abc%dEDF)__1256)Hello") )
{
printf ("Error for setting NAN (5)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN); /* make sure that x is modified */
res = mpfr_strtofr (x, "NAN((abc))", &s, 10, MPFR_RNDN);
if (res != 0 || !mpfr_nan_p (x) || strcmp(s, "((abc))") )
{
printf ("Error for setting NAN (6)\n");
exit (1);
}
mpfr_set_ui (x, 0, MPFR_RNDN); /* make sure that x is modified */
res = mpfr_strtofr (x, "NAN()foo", &s, 10, MPFR_RNDN);
if (res != 0 || !mpfr_nan_p (x) || strcmp(s, "foo") )
{
printf ("Error for setting NAN (7)\n");
exit (1);
}
/* Check INF */
res = mpfr_strtofr (x, "INFINITY", &s, 8, MPFR_RNDN);
if (res != 0 || !mpfr_inf_p (x) || *s != 0)
{
printf ("Error for setting INFINITY (1)\n s=%s\n x=", s);
mpfr_dump (x);
exit (1);
}
res = mpfr_strtofr (x, "INFANITY", &s, 8, MPFR_RNDN);
if (res != 0 || !mpfr_inf_p (x) || strcmp(s, "ANITY"))
{
printf ("Error for setting INFINITY (2)\n s=%s\n x=", s);
mpfr_dump (x);
exit (1);
}
res = mpfr_strtofr (x, "@INF@*2", &s, 11, MPFR_RNDN);
if (res != 0 || !mpfr_inf_p (x) || strcmp(s, "*2"))
{
printf ("Error for setting INFINITY (3)\n s=%s\n x=", s);
mpfr_dump (x);
exit (1);
}
/* Check Zero */
res = mpfr_strtofr (x, " 00000", &s, 11, MPFR_RNDN);
if (res != 0 || !mpfr_zero_p (x) || s[0] != 0)
{
printf ("Error for setting ZERO (1)\n s=%s\n x=", s);
mpfr_dump (x);
exit (1);
}
/* Check base 62 */
res = mpfr_strtofr (x, "A", NULL, 62, MPFR_RNDN);
if (res != 0 || mpfr_cmp_ui (x, 10))
{
printf ("Error for setting 'A' in base 62\n x=");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
putchar ('\n');
exit (1);
}
res = mpfr_strtofr (x, "a", NULL, 62, MPFR_RNDN);
if (res != 0 || mpfr_cmp_ui (x, 36))
{
printf ("Error for setting 'a' in base 62\n x=");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
putchar ('\n');
exit (1);
}
res = mpfr_strtofr (x, "Z", NULL, 62, MPFR_RNDN);
if (res != 0 || mpfr_cmp_ui (x, 35))
{
printf ("Error for setting 'Z' in base 62\n x=");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
putchar ('\n');
exit (1);
}
res = mpfr_strtofr (x, "z", NULL, 62, MPFR_RNDN);
if (res != 0 || mpfr_cmp_ui (x, 61))
{
printf ("Error for setting 'z' in base 62\n x=");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
putchar ('\n');
exit (1);
}
res = mpfr_strtofr (x, "ZA", NULL, 62, MPFR_RNDN);
if (res != 0 || mpfr_cmp_ui (x, 2180))
{
printf ("Error for setting 'ZA' in base 62\n x=");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
putchar ('\n');
exit (1);
}
res = mpfr_strtofr (x, "za", NULL, 62, MPFR_RNDN);
if (res != 0 || mpfr_cmp_ui (x, 3818))
{
printf ("Error for setting 'za' in base 62\n x=");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
putchar ('\n');
exit (1);
}
res = mpfr_strtofr (x, "aZ", NULL, 62, MPFR_RNDN);
if (res != 0 || mpfr_cmp_ui (x, 2267))
{
printf ("Error for setting 'aZ' in base 62\n x=");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
putchar ('\n');
exit (1);
}
res = mpfr_strtofr (x, "Az", NULL, 62, MPFR_RNDN);
if (res != 0 || mpfr_cmp_ui (x, 681))
{
printf ("Error for setting 'Az' in base 62\n x=");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
putchar ('\n');
exit (1);
}
/* Check base 60 */
res = mpfr_strtofr (x, "Aa", NULL, 60, MPFR_RNDN);
if (res != 0 || mpfr_cmp_ui (x, 636))
{
printf ("Error for setting 'Aa' in base 60\n x=");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
putchar ('\n');
exit (1);
}
res = mpfr_strtofr (x, "Zz", &s, 60, MPFR_RNDN);
if (res != 0 || mpfr_cmp_ui (x, 35) || strcmp(s, "z") )
{
printf ("Error for setting 'Zz' in base 60\n x=");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
putchar ('\n');
exit (1);
}
/* Check base 61 */
res = mpfr_strtofr (x, "z", &s, 61, MPFR_RNDN);
if (res != 0 || mpfr_cmp_ui (x, 0) || strcmp(s, "z") )
{
printf ("Error for setting 'z' in base 61\n x=");
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
putchar ('\n');
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
check_parse (void)
{
mpfr_t x;
char *s;
int res;
mpfr_init (x);
/* Invalid data */
mpfr_set_si (x, -1, MPFR_RNDN);
res = mpfr_strtofr (x, " invalid", NULL, 10, MPFR_RNDN);
if (MPFR_NOTZERO (x) || MPFR_IS_NEG (x))
{
printf ("Failed parsing ' invalid' (1)\n X=");
mpfr_dump (x);
exit (1);
}
MPFR_ASSERTN (res == 0);
mpfr_set_si (x, -1, MPFR_RNDN);
res = mpfr_strtofr (x, " invalid", &s, 0, MPFR_RNDN);
if (MPFR_NOTZERO (x) || MPFR_IS_NEG (x) || strcmp (s, " invalid"))
{
printf ("Failed parsing ' invalid' (2)\n S=%s\n X=", s);
mpfr_dump (x);
exit (1);
}
MPFR_ASSERTN (res == 0);
/* Check if it stops correctly */
mpfr_strtofr (x, "15*x", &s, 10, MPFR_RNDN);
if (mpfr_cmp_ui (x, 15) || strcmp (s, "*x"))
{
printf ("Failed parsing '15*x'\n S=%s\n X=", s);
mpfr_dump (x);
exit (1);
}
/* Check for leading spaces */
mpfr_strtofr (x, " 1.5E-10 *x^2", &s, 10, MPFR_RNDN);
if (mpfr_cmp_str1 (x, "1.5E-10") || strcmp (s, " *x^2"))
{
printf ("Failed parsing '1.5E-10*x^2'\n S=%s\n X=", s);
mpfr_dump (x);
exit (1);
}
/* Check for leading sign */
mpfr_strtofr (x, " +17.5E-42E ", &s, 10, MPFR_RNDN);
if (mpfr_cmp_str1 (x, "17.5E-42") || strcmp (s, "E "))
{
printf ("Failed parsing '+17.5E-42E '\n S=%s\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, "-17.5E+42E\n", &s, 10, MPFR_RNDN);
if (mpfr_cmp_str1 (x, "-17.5E42") || strcmp (s, "E\n"))
{
printf ("Failed parsing '-17.5E+42\\n'\n S=%s\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
/* P form */
mpfr_strtofr (x, "0x42P17", &s, 16, MPFR_RNDN);
if (mpfr_cmp_str (x, "8650752", 10, MPFR_RNDN) || *s != 0)
{
printf ("Failed parsing '0x42P17' (base = 16)\n S='%s'\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, "-0X42p17", &s, 16, MPFR_RNDN);
if (mpfr_cmp_str (x, "-8650752", 10, MPFR_RNDN) || *s != 0)
{
printf ("Failed parsing '-0x42p17' (base = 16)\n S='%s'\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, "42p17", &s, 16, MPFR_RNDN);
if (mpfr_cmp_str (x, "8650752", 10, MPFR_RNDN) || *s != 0)
{
printf ("Failed parsing '42p17' (base = 16)\n S='%s'\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, "-42P17", &s, 16, MPFR_RNDN);
if (mpfr_cmp_str (x, "-8650752", 10, MPFR_RNDN) || *s != 0)
{
printf ("Failed parsing '-42P17' (base = 16)\n S='%s'\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, "0b1001P17", &s, 2, MPFR_RNDN);
if (mpfr_cmp_str (x, "1179648", 10, MPFR_RNDN) || *s != 0)
{
printf ("Failed parsing '0b1001P17' (base = 2)\n S='%s'\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, "-0B1001p17", &s, 2, MPFR_RNDN);
if (mpfr_cmp_str (x, "-1179648", 10, MPFR_RNDN) || *s != 0)
{
printf ("Failed parsing '-0B1001p17' (base = 2)\n S='%s'\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, "1001p17", &s, 2, MPFR_RNDN);
if (mpfr_cmp_str (x, "1179648", 10, MPFR_RNDN) || *s != 0)
{
printf ("Failed parsing '1001p17' (base = 2)\n S='%s'\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, "-1001P17", &s, 2, MPFR_RNDN);
if (mpfr_cmp_str (x, "-1179648", 10, MPFR_RNDN) || *s != 0)
{
printf ("Failed parsing '-1001P17' (base = 2)\n S='%s'\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
/* Check for auto-detection of the base */
mpfr_strtofr (x, "+0x42P17", &s, 0, MPFR_RNDN);
if (mpfr_cmp_str (x, "42P17", 16, MPFR_RNDN) || *s != 0)
{
printf ("Failed parsing '+0x42P17'\n S=%s\n X=", s);
mpfr_out_str (stdout, 16, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, "-42E17", &s, 0, MPFR_RNDN);
if (mpfr_cmp_str (x, "-42E17", 10, MPFR_RNDN) || *s != 0)
{
printf ("Failed parsing '-42E17'\n S=%s\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, "-42P17", &s, 0, MPFR_RNDN);
if (mpfr_cmp_str (x, "-42", 10, MPFR_RNDN) || strcmp (s, "P17"))
{
printf ("Failed parsing '-42P17' (base = 0)\n S='%s'\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, " 0b0101.011@42", &s, 0, MPFR_RNDN);
if (mpfr_cmp_str (x, "0101.011@42", 2, MPFR_RNDN) || *s != 0)
{
printf ("Failed parsing '0101.011@42'\n S=%s\n X=", s);
mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, " 0b0101.011P42", &s, 0, MPFR_RNDN);
if (mpfr_cmp_str (x, "0101.011@42", 2, MPFR_RNDN) || *s != 0)
{
printf ("Failed parsing '0101.011@42'\n S=%s\n X=", s);
mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, "+0x42@17", &s, 0, MPFR_RNDN);
if (mpfr_cmp_str (x, "4.2@18", 16, MPFR_RNDN) || *s != 0)
{
printf ("Failed parsing '+0x42P17'\n S=%s\n X=", s);
mpfr_out_str (stdout, 16, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
/* Check for space inside the mantissa */
mpfr_strtofr (x, "+0x4 2@17", &s, 0, MPFR_RNDN);
if (mpfr_cmp_ui (x, 4) || strcmp(s," 2@17"))
{
printf ("Failed parsing '+0x4 2@17'\n S=%s\n X=", s);
mpfr_out_str (stdout, 16, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, "+0x42 P17", &s, 0, MPFR_RNDN);
if (mpfr_cmp_ui (x, 0x42) || strcmp(s," P17"))
{
printf ("Failed parsing '+0x42 P17'\n S=%s\n X=", s);
mpfr_out_str (stdout, 16, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
/* Space between mantissa and exponent */
mpfr_strtofr (x, " -0b0101P 17", &s, 0, MPFR_RNDN);
if (mpfr_cmp_si (x, -5) || strcmp(s,"P 17"))
{
printf ("Failed parsing '-0b0101P 17'\n S=%s\n X=", s);
mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
/* Check for Invalid exponent. */
mpfr_strtofr (x, " -0b0101PF17", &s, 0, MPFR_RNDN);
if (mpfr_cmp_si (x, -5) || strcmp(s,"PF17"))
{
printf ("Failed parsing '-0b0101PF17'\n S=%s\n X=", s);
mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
/* At least one digit in the mantissa. */
mpfr_strtofr (x, " .E10", &s, 0, MPFR_RNDN);
if (strcmp(s," .E10"))
{
printf ("Failed parsing ' .E10'\n S=%s\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
/* Check 2 '.': 2.3.4 */
mpfr_strtofr (x, "-1.2.3E4", &s, 0, MPFR_RNDN);
if (mpfr_cmp_str1 (x, "-1.2") || strcmp(s,".3E4"))
{
printf ("Failed parsing '-1.2.3E4'\n S=%s\n X=", s);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
/* Check for 0x and 0b */
mpfr_strtofr (x, " 0xG", &s, 0, MPFR_RNDN);
if (mpfr_cmp_ui (x, 0) || strcmp(s,"xG"))
{
printf ("Failed parsing ' 0xG'\n S=%s\n X=", s);
mpfr_out_str (stdout, 16, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, " 0b2", &s, 0, MPFR_RNDN);
if (mpfr_cmp_ui (x, 0) || strcmp(s,"b2"))
{
printf ("Failed parsing ' 0b2'\n S=%s\n X=", s);
mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, "-0x.23@2Z33", &s, 0, MPFR_RNDN);
if (mpfr_cmp_si (x, -0x23) || strcmp(s,"Z33"))
{
printf ("Failed parsing '-0x.23@2Z33'\n S=%s\n X=", s);
mpfr_out_str (stdout, 16, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_strtofr (x, " 0x", &s, 0, MPFR_RNDN);
if (mpfr_cmp_ui (x, 0) || strcmp(s,"x"))
{
printf ("Failed parsing ' 0x'\n S=%s\n X=", s);
mpfr_out_str (stdout, 16, 0, x, MPFR_RNDN); putchar ('\n');
exit (1);
}
mpfr_clear (x);
}
int
main (int argc, char *argv[])
{
mpfr_t x, y, z, s;
tests_start_mpfr ();
mpfr_init (x);
mpfr_init (s);
mpfr_init (y);
mpfr_init (z);
/* check special cases */
mpfr_set_prec (x, 2);
mpfr_set_prec (y, 2);
mpfr_set_prec (z, 2);
mpfr_set_prec (s, 2);
mpfr_set_str (x, "-0.75", 10, GMP_RNDN);
mpfr_set_str (y, "0.5", 10, GMP_RNDN);
mpfr_set_str (z, "0.375", 10, GMP_RNDN);
mpfr_fma (s, x, y, z, GMP_RNDU); /* result is 0 */
if (mpfr_cmp_ui(s, 0))
{
printf("Error: -0.75 * 0.5 + 0.375 should be equal to 0 for prec=2\n");
exit(1);
}
mpfr_set_prec (x, 27);
mpfr_set_prec (y, 27);
mpfr_set_prec (z, 27);
mpfr_set_prec (s, 27);
mpfr_set_str_binary (x, "1.11111111111111111111111111e-1");
mpfr_set (y, x, GMP_RNDN);
mpfr_set_str_binary (z, "-1.00011110100011001011001001e-1");
if (mpfr_fma (s, x, y, z, GMP_RNDN) >= 0)
{
printf ("Wrong inexact flag for x=y=1-2^(-27)\n");
exit (1);
}
mpfr_set_nan (x);
mpfr_random (y);
mpfr_random (z);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_nan_p (s))
{
printf ("evaluation of function in x=NAN does not return NAN");
exit (1);
}
mpfr_set_nan (y);
mpfr_random (x);
mpfr_random (z);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_nan_p(s))
{
printf ("evaluation of function in y=NAN does not return NAN");
exit (1);
}
mpfr_set_nan (z);
mpfr_random (y);
mpfr_random (x);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_nan_p (s))
{
printf ("evaluation of function in z=NAN does not return NAN");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_set_inf (y, 1);
mpfr_set_inf (z, 1);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) < 0)
{
printf ("Error for (+inf) * (+inf) + (+inf)\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_set_inf (y, -1);
mpfr_set_inf (z, 1);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) < 0)
{
printf ("Error for (-inf) * (-inf) + (+inf)\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_set_inf (y, -1);
mpfr_set_inf (z, -1);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) > 0)
{
printf ("Error for (+inf) * (-inf) + (-inf)\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_set_inf (y, 1);
mpfr_set_inf (z, -1);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) > 0)
{
printf ("Error for (-inf) * (+inf) + (-inf)\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_set_ui (y, 0, GMP_RNDN);
mpfr_random (z);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_nan_p (s))
{
printf ("evaluation of function in x=INF y=0 does not return NAN");
exit (1);
}
mpfr_set_inf (y, 1);
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_random (z);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_nan_p (s))
{
printf ("evaluation of function in x=0 y=INF does not return NAN");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_random (y); /* always positive */
mpfr_set_inf (z, -1);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_nan_p (s))
{
printf ("evaluation of function in x=INF y>0 z=-INF does not return NAN");
exit (1);
}
mpfr_set_inf (y, 1);
mpfr_random (x);
mpfr_set_inf (z, -1);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_nan_p (s))
{
printf ("evaluation of function in x>0 y=INF z=-INF does not return NAN");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_random (y);
mpfr_random (z);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) < 0)
{
printf ("evaluation of function in x=INF does not return INF");
exit (1);
}
mpfr_set_inf (y, 1);
mpfr_random (x);
mpfr_random (z);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) < 0)
{
printf ("evaluation of function in y=INF does not return INF");
exit (1);
}
mpfr_set_inf (z, 1);
mpfr_random (x);
mpfr_random (y);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (!mpfr_inf_p (s) || mpfr_sgn (s) < 0)
{
printf ("evaluation of function in z=INF does not return INF");
exit (1);
}
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_random (y);
mpfr_random (z);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (mpfr_cmp (s, z))
{
printf ("evaluation of function in x=0 does not return z\n");
exit (1);
}
mpfr_set_ui (y, 0, GMP_RNDN);
mpfr_random (x);
mpfr_random (z);
mpfr_fma (s, x, y, z, GMP_RNDN);
if (mpfr_cmp (s, z))
{
printf ("evaluation of function in y=0 does not return z\n");
exit (1);
}
{
mp_prec_t prec;
mpfr_t t, slong;
mp_rnd_t rnd;
int inexact, compare;
unsigned int n;
mp_prec_t p0=2, p1=200;
unsigned int N=200;
mpfr_init (t);
mpfr_init (slong);
/* generic test */
for (prec = p0; prec <= p1; prec++)
{
mpfr_set_prec (x, prec);
mpfr_set_prec (y, prec);
mpfr_set_prec (z, prec);
mpfr_set_prec (s, prec);
mpfr_set_prec (t, prec);
for (n=0; n<N; n++)
{
mpfr_random (x);
mpfr_random (y);
mpfr_random (z);
if (randlimb () % 2)
mpfr_neg (x, x, GMP_RNDN);
if (randlimb () % 2)
mpfr_neg (y, y, GMP_RNDN);
if (randlimb () % 2)
mpfr_neg (z, z, GMP_RNDN);
rnd = (mp_rnd_t) RND_RAND ();
mpfr_set_prec (slong, 2 * prec);
if (mpfr_mul (slong, x, y, rnd))
{
printf ("x*y should be exact\n");
exit (1);
}
compare = mpfr_add (t, slong, z, rnd);
inexact = mpfr_fma (s, x, y, z, rnd);
if (mpfr_cmp (s, t))
{
printf ("results differ for x=");
mpfr_out_str (stdout, 2, prec, x, GMP_RNDN);
printf (" y=");
mpfr_out_str (stdout, 2, prec, y, GMP_RNDN);
printf (" z=");
mpfr_out_str (stdout, 2, prec, z, GMP_RNDN);
printf (" prec=%u rnd_mode=%s\n", (unsigned int) prec,
mpfr_print_rnd_mode (rnd));
printf ("got ");
mpfr_out_str (stdout, 2, prec, s, GMP_RNDN);
puts ("");
printf ("expected ");
mpfr_out_str (stdout, 2, prec, t, GMP_RNDN);
puts ("");
printf ("approx ");
mpfr_print_binary (slong);
puts ("");
exit (1);
}
if (((inexact == 0) && (compare != 0)) ||
((inexact < 0) && (compare >= 0)) ||
((inexact > 0) && (compare <= 0)))
{
printf ("Wrong inexact flag for rnd=%s: expected %d, got %d\n",
mpfr_print_rnd_mode (rnd), compare, inexact);
printf (" x="); mpfr_out_str (stdout, 2, 0, x, GMP_RNDN);
printf (" y="); mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
printf (" z="); mpfr_out_str (stdout, 2, 0, z, GMP_RNDN);
printf (" s="); mpfr_out_str (stdout, 2, 0, s, GMP_RNDN);
printf ("\n");
exit (1);
}
}
}
mpfr_clear (t);
mpfr_clear (slong);
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (s);
test_exact ();
test_overflow1 ();
test_overflow2 ();
test_underflow1 ();
test_underflow2 ();
tests_end_mpfr ();
return 0;
}
int
main (int argc, char *argv[])
{
mpfr_t gamma, y, z, t;
unsigned int err, prec, yprec, p0 = 2, p1 = 200;
int rnd;
tests_start_mpfr ();
prec = (argc < 2) ? 53 : atoi(argv[1]);
if (argc > 1)
{
mpfr_init2 (gamma, prec);
mpfr_const_euler (gamma, GMP_RNDN);
printf("gamma="); mpfr_out_str (stdout, 10, 0, gamma, GMP_RNDD);
puts ("");
mpfr_clear (gamma);
return 0;
}
mpfr_init (y);
mpfr_init (z);
mpfr_init (t);
mpfr_set_prec (y, 32);
mpfr_set_prec (z, 32);
mpfr_const_euler (y, GMP_RNDN);
mpfr_set_str_binary (z, "0.10010011110001000110011111100011");
if (mpfr_cmp (y, z))
{
printf ("Error for prec=32\n");
exit (1);
}
for (prec = p0; prec <= p1; prec++)
{
mpfr_set_prec (z, prec);
mpfr_set_prec (t, prec);
yprec = prec + 10;
for (rnd = 0; rnd < GMP_RND_MAX; rnd++)
{
mpfr_set_prec (y, yprec);
mpfr_const_euler (y, (mp_rnd_t) rnd);
err = (rnd == GMP_RNDN) ? yprec + 1 : yprec;
if (mpfr_can_round (y, err, (mp_rnd_t) rnd, (mp_rnd_t) rnd, prec))
{
mpfr_set (t, y, (mp_rnd_t) rnd);
mpfr_const_euler (z, (mp_rnd_t) rnd);
if (mpfr_cmp (t, z))
{
printf ("results differ for prec=%u rnd_mode=%s\n", prec,
mpfr_print_rnd_mode ((mp_rnd_t) rnd));
printf (" got ");
mpfr_out_str (stdout, 2, prec, z, GMP_RNDN);
puts ("");
printf (" expected ");
mpfr_out_str (stdout, 2, prec, t, GMP_RNDN);
puts ("");
printf (" approximation was ");
mpfr_print_binary (y);
puts ("");
exit (1);
}
}
}
}
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (t);
tests_end_mpfr ();
return 0;
}
int
main (int argc, char *argv[])
{
unsigned int prec, err, yprec, n, k, zeros;
int rnd;
mpfr_t x, y, z, t;
int inexact;
tests_start_mpfr ();
special ();
test_int ();
mpfr_init (x);
mpfr_init (y);
mpfr_init (z);
mpfr_init (t);
mpfr_fac_ui (y, 0, GMP_RNDN);
if (mpfr_cmp_ui (y, 1))
{
printf ("mpfr_fac_ui(0) does not give 1\n");
exit (1);
}
for (prec = 2; prec <= 100; prec++)
{
mpfr_set_prec (x, prec);
mpfr_set_prec (z, prec);
mpfr_set_prec (t, prec);
yprec = prec + 10;
mpfr_set_prec (y, yprec);
for (n = 0; n < 50; n++)
for (rnd = 0; rnd < GMP_RND_MAX; rnd++)
{
inexact = mpfr_fac_ui (y, n, (mp_rnd_t) rnd);
err = (rnd == GMP_RNDN) ? yprec + 1 : yprec;
if (mpfr_can_round (y, err, (mp_rnd_t) rnd, (mp_rnd_t) rnd, prec))
{
mpfr_set (t, y, (mp_rnd_t) rnd);
inexact = mpfr_fac_ui (z, n, (mp_rnd_t) rnd);
/* fact(n) ends with floor(n/2)+floor(n/4)+... zeros */
for (k=n/2, zeros=0; k; k >>= 1)
zeros += k;
if (MPFR_EXP(y) <= (mp_exp_t) (prec + zeros))
/* result should be exact */
{
if (inexact)
{
printf ("Wrong inexact flag: expected exact\n");
exit (1);
}
}
else /* result is inexact */
{
if (!inexact)
{
printf ("Wrong inexact flag: expected inexact\n");
printf ("n=%u prec=%u\n", n, prec);
mpfr_print_binary(z); puts ("");
exit (1);
}
}
if (mpfr_cmp (t, z))
{
printf ("results differ for x=");
mpfr_out_str (stdout, 2, prec, x, GMP_RNDN);
printf (" prec=%u rnd_mode=%s\n", prec,
mpfr_print_rnd_mode ((mp_rnd_t) rnd));
printf (" got ");
mpfr_out_str (stdout, 2, prec, z, GMP_RNDN);
puts ("");
printf (" expected ");
mpfr_out_str (stdout, 2, prec, t, GMP_RNDN);
puts ("");
printf (" approximation was ");
mpfr_print_binary (y);
puts ("");
exit (1);
}
}
}
}
static void
check1 (mpfr_ptr x, mpfr_prec_t prec, unsigned long nt, mpfr_rnd_t rnd)
{
mpfr_t y, z, t;
int inexact, compare, compare2;
mpfr_prec_t yprec;
mpfr_exp_t err;
yprec = prec + 10;
mpfr_init (y);
mpfr_init (z);
mpfr_init (t);
mpfr_set_prec (y, yprec);
mpfr_set_prec (z, prec);
mpfr_set_prec (t, prec);
compare = mpfr_ui_pow (y, nt, x, rnd);
err = (rnd == MPFR_RNDN) ? yprec + 1 : yprec;
if (mpfr_can_round (y, err, rnd, rnd, prec))
{
mpfr_set (t, y, rnd);
inexact = mpfr_ui_pow (z, nt, x, rnd);
if (mpfr_cmp (t, z))
{
printf ("results differ for x=");
mpfr_out_str (stdout, 2, prec, x, MPFR_RNDN);
printf (" n=%lu", nt);
printf (" prec=%u rnd_mode=%s\n", (unsigned) prec,
mpfr_print_rnd_mode (rnd));
printf ("got ");
mpfr_out_str (stdout, 2, prec, z, MPFR_RNDN);
puts ("");
printf ("expected ");
mpfr_out_str (stdout, 2, prec, t, MPFR_RNDN);
puts ("");
printf ("approx ");
mpfr_print_binary (y);
puts ("");
exit (1);
}
compare2 = mpfr_cmp (t, y);
/* if rounding to nearest, cannot know the sign of t - f(x)
because of composed rounding: y = o(f(x)) and t = o(y) */
if ((rnd != MPFR_RNDN) && (compare * compare2 >= 0))
compare = compare + compare2;
else
compare = inexact; /* cannot determine sign(t-f(x)) */
if (((inexact == 0) && (compare != 0)) ||
((inexact > 0) && (compare <= 0)) ||
((inexact < 0) && (compare >= 0)))
{
printf ("Wrong inexact flag for rnd=%s: expected %d, got %d\n",
mpfr_print_rnd_mode (rnd), compare, inexact);
printf ("x="); mpfr_print_binary (x); puts ("");
printf ("y="); mpfr_print_binary (y); puts ("");
printf ("t="); mpfr_print_binary (t); puts ("");
exit (1);
}
}
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (t);
}
static void
special (void)
{
mpfr_t x, y;
unsigned xprec, yprec;
mpfr_init (x);
mpfr_init (y);
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 32);
mpfr_set_ui (x, 1, MPFR_RNDN);
mpfr_div_ui (y, x, 3, MPFR_RNDN);
mpfr_set_prec (x, 100);
mpfr_set_prec (y, 100);
mpfr_urandomb (x, RANDS);
mpfr_div_ui (y, x, 123456, MPFR_RNDN);
mpfr_set_ui (x, 0, MPFR_RNDN);
mpfr_div_ui (y, x, 123456789, MPFR_RNDN);
if (mpfr_cmp_ui (y, 0))
{
printf ("mpfr_div_ui gives non-zero for 0/ui\n");
exit (1);
}
/* bug found by Norbert Mueller, 21 Aug 2001 */
mpfr_set_prec (x, 110);
mpfr_set_prec (y, 60);
mpfr_set_str_binary (x, "0.110101110011111110011111001110011001110111000000111110001000111011000011E-44");
mpfr_div_ui (y, x, 17, MPFR_RNDN);
mpfr_set_str_binary (x, "0.11001010100101100011101110000001100001010110101001010011011E-48");
if (mpfr_cmp (x, y))
{
printf ("Error in x/17 for x=1/16!\n");
printf ("Expected ");
mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
printf ("\nGot ");
mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
printf ("\n");
exit (1);
}
/* corner case */
mpfr_set_prec (x, 2 * mp_bits_per_limb);
mpfr_set_prec (y, 2);
mpfr_set_ui (x, 4, MPFR_RNDN);
mpfr_nextabove (x);
mpfr_div_ui (y, x, 2, MPFR_RNDN); /* exactly in the middle */
MPFR_ASSERTN(mpfr_cmp_ui (y, 2) == 0);
mpfr_set_prec (x, 3 * mp_bits_per_limb);
mpfr_set_prec (y, 2);
mpfr_set_ui (x, 2, MPFR_RNDN);
mpfr_nextabove (x);
mpfr_div_ui (y, x, 2, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0);
mpfr_set_prec (x, 3 * mp_bits_per_limb);
mpfr_set_prec (y, 2);
mpfr_set_si (x, -4, MPFR_RNDN);
mpfr_nextbelow (x);
mpfr_div_ui (y, x, 2, MPFR_RNDD);
MPFR_ASSERTN(mpfr_cmp_si (y, -3) == 0);
for (xprec = 53; xprec <= 128; xprec++)
{
mpfr_set_prec (x, xprec);
mpfr_set_str_binary (x, "0.1100100100001111110011111000000011011100001100110111E2");
for (yprec = 53; yprec <= 128; yprec++)
{
mpfr_set_prec (y, yprec);
mpfr_div_ui (y, x, 1, MPFR_RNDN);
if (mpfr_cmp(x,y))
{
printf ("division by 1.0 fails for xprec=%u, yprec=%u\n", xprec, yprec);
printf ("expected "); mpfr_print_binary (x); puts ("");
printf ("got "); mpfr_print_binary (y); puts ("");
exit (1);
}
}
}
/* Bug reported by Mark Dickinson, 6 Nov 2007 */
mpfr_set_si (x, 0, MPFR_RNDN);
mpfr_set_si (y, -1, MPFR_RNDN);
mpfr_div_ui (y, x, 4, MPFR_RNDN);
MPFR_ASSERTN(MPFR_IS_ZERO(y) && MPFR_IS_POS(y));
mpfr_clear (x);
mpfr_clear (y);
}
