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mpfr-4.0.1-p13.patch
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mpfr-4.0.1-p13.patch
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diff -Naurd mpfr-4.0.1-a/PATCHES mpfr-4.0.1-b/PATCHES
--- mpfr-4.0.1-a/PATCHES 2018-04-27 12:40:46.838268769 +0000
+++ mpfr-4.0.1-b/PATCHES 2018-04-27 12:40:46.870268475 +0000
@@ -0,0 +1 @@
+sub1sp1n-reuse
diff -Naurd mpfr-4.0.1-a/VERSION mpfr-4.0.1-b/VERSION
--- mpfr-4.0.1-a/VERSION 2018-02-07 12:50:31.000000000 +0000
+++ mpfr-4.0.1-b/VERSION 2018-04-27 12:40:46.870268475 +0000
@@ -1 +1 @@
-4.0.1
+4.0.1-p1
diff -Naurd mpfr-4.0.1-a/src/mpfr.h mpfr-4.0.1-b/src/mpfr.h
--- mpfr-4.0.1-a/src/mpfr.h 2018-02-07 12:50:31.000000000 +0000
+++ mpfr-4.0.1-b/src/mpfr.h 2018-04-27 12:40:46.870268475 +0000
@@ -27,7 +27,7 @@
#define MPFR_VERSION_MAJOR 4
#define MPFR_VERSION_MINOR 0
#define MPFR_VERSION_PATCHLEVEL 1
-#define MPFR_VERSION_STRING "4.0.1"
+#define MPFR_VERSION_STRING "4.0.1-p1"
/* User macros:
MPFR_USE_FILE: Define it to make MPFR define functions dealing
diff -Naurd mpfr-4.0.1-a/src/sub1sp.c mpfr-4.0.1-b/src/sub1sp.c
--- mpfr-4.0.1-a/src/sub1sp.c 2018-01-09 12:30:58.000000000 +0000
+++ mpfr-4.0.1-b/src/sub1sp.c 2018-04-27 12:40:46.858268585 +0000
@@ -375,13 +375,15 @@
}
else /* cases (a), (c), (d) and (e) */
{
- ap[0] = -MPFR_LIMB_ONE;
/* rb=1 in case (e) and case (c) */
rb = d > GMP_NUMB_BITS + 1
|| (d == GMP_NUMB_BITS + 1 && cp[0] == MPFR_LIMB_HIGHBIT);
/* sb = 1 in case (d) and (e) */
sb = d > GMP_NUMB_BITS + 1
|| (d == GMP_NUMB_BITS + 1 && cp[0] > MPFR_LIMB_HIGHBIT);
+ /* Warning: only set ap[0] last, otherwise in case ap=cp,
+ the above comparisons involving cp[0] would be wrong */
+ ap[0] = -MPFR_LIMB_ONE;
}
}
}
diff -Naurd mpfr-4.0.1-a/src/version.c mpfr-4.0.1-b/src/version.c
--- mpfr-4.0.1-a/src/version.c 2018-02-07 12:50:31.000000000 +0000
+++ mpfr-4.0.1-b/src/version.c 2018-04-27 12:40:46.870268475 +0000
@@ -25,5 +25,5 @@
const char *
mpfr_get_version (void)
{
- return "4.0.1";
+ return "4.0.1-p1";
}
diff -Naurd mpfr-4.0.1-a/tests/tsub.c mpfr-4.0.1-b/tests/tsub.c
--- mpfr-4.0.1-a/tests/tsub.c 2018-01-09 12:30:58.000000000 +0000
+++ mpfr-4.0.1-b/tests/tsub.c 2018-04-27 12:40:46.858268585 +0000
@@ -22,12 +22,13 @@
#include "mpfr-test.h"
-#ifdef CHECK_EXTERNAL
static int
test_sub (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mpfr_rnd_t rnd_mode)
{
+#ifdef CHECK_EXTERNAL
int res;
int ok = rnd_mode == MPFR_RNDN && mpfr_number_p (b) && mpfr_number_p (c);
+
if (ok)
{
mpfr_print_raw (b);
@@ -42,10 +43,69 @@
printf ("\n");
}
return res;
-}
-#else
-#define test_sub mpfr_sub
+#else /* reuse test */
+ int inex;
+
+ inex = mpfr_sub (a, b, c, rnd_mode);
+
+ if (a != b && a != c && ! MPFR_IS_NAN (a))
+ {
+ mpfr_t t;
+ int reuse_b, reuse_c, inex_r;
+
+ reuse_b = MPFR_PREC (a) == MPFR_PREC (b);
+ reuse_c = MPFR_PREC (a) == MPFR_PREC (c);
+
+ if (reuse_b || reuse_c)
+ mpfr_init2 (t, MPFR_PREC (a));
+
+ if (reuse_b)
+ {
+ mpfr_set (t, b, MPFR_RNDN);
+ inex_r = mpfr_sub (t, t, c, rnd_mode);
+ if (!(mpfr_equal_p (t, a) && SAME_SIGN (inex_r, inex)))
+ {
+ printf ("reuse of b error in b - c in %s for\n",
+ mpfr_print_rnd_mode (rnd_mode));
+ printf ("b = ");
+ mpfr_dump (b);
+ printf ("c = ");
+ mpfr_dump (c);
+ printf ("Expected "); mpfr_dump (a);
+ printf (" with inex = %d\n", inex);
+ printf ("Got "); mpfr_dump (t);
+ printf (" with inex = %d\n", inex_r);
+ exit (1);
+ }
+ }
+
+ if (reuse_c)
+ {
+ mpfr_set (t, c, MPFR_RNDN);
+ inex_r = mpfr_sub (t, b, t, rnd_mode);
+ if (!(mpfr_equal_p (t, a) && SAME_SIGN (inex_r, inex)))
+ {
+ printf ("reuse of c error in b - c in %s for\n",
+ mpfr_print_rnd_mode (rnd_mode));
+ printf ("b = ");
+ mpfr_dump (b);
+ printf ("c = ");
+ mpfr_dump (c);
+ printf ("Expected "); mpfr_dump (a);
+ printf (" with inex = %d\n", inex);
+ printf ("Got "); mpfr_dump (t);
+ printf (" with inex = %d\n", inex_r);
+ exit (1);
+ }
+ }
+
+ if (reuse_b || reuse_c)
+ mpfr_clear (t);
+ }
+
+ return inex;
#endif
+}
static void
check_diverse (void)
@@ -940,6 +1000,80 @@
}
}
+/* Fails with r12281: "reuse of c error in b - c in MPFR_RNDN". */
+static void
+bug20180217 (void)
+{
+ mpfr_t x, y, z1, z2;
+ int r, p, d, i, inex1, inex2;
+
+ for (p = 3; p <= 3 + 4 * GMP_NUMB_BITS; p++)
+ {
+ mpfr_inits2 (p, x, y, z1, z2, (mpfr_ptr) 0);
+ for (d = p; d <= p+4; d++)
+ {
+ mpfr_set_ui (x, 1, MPFR_RNDN);
+ mpfr_set_ui_2exp (y, 1, -d, MPFR_RNDN);
+ for (i = 0; i < 3; i++)
+ {
+ RND_LOOP_NO_RNDF (r)
+ {
+ mpfr_set (z1, x, MPFR_RNDN);
+ if (d == p)
+ {
+ mpfr_nextbelow (z1);
+ if (i == 0)
+ inex1 = 0;
+ else if (r == MPFR_RNDD || r == MPFR_RNDZ ||
+ (r == MPFR_RNDN && i > 1))
+ {
+ mpfr_nextbelow (z1);
+ inex1 = -1;
+ }
+ else
+ inex1 = 1;
+ }
+ else if (r == MPFR_RNDD || r == MPFR_RNDZ ||
+ (r == MPFR_RNDN && d == p+1 && i > 0))
+ {
+ mpfr_nextbelow (z1);
+ inex1 = -1;
+ }
+ else
+ inex1 = 1;
+ inex2 = test_sub (z2, x, y, (mpfr_rnd_t) r);
+ if (!(mpfr_equal_p (z1, z2) && SAME_SIGN (inex1, inex2)))
+ {
+ printf ("Error in bug20180217 with "
+ "p=%d, d=%d, i=%d, %s\n", p, d, i,
+ mpfr_print_rnd_mode ((mpfr_rnd_t) r));
+ printf ("x = ");
+ mpfr_dump (x);
+ printf ("y = ");
+ mpfr_dump (y);
+ printf ("Expected "); mpfr_dump (z1);
+ printf (" with inex = %d\n", inex1);
+ printf ("Got "); mpfr_dump (z2);
+ printf (" with inex = %d\n", inex2);
+ exit (1);
+ }
+ }
+ if (i == 0)
+ mpfr_nextabove (y);
+ else
+ {
+ if (p < 6)
+ break;
+ mpfr_nextbelow (y);
+ mpfr_mul_ui (y, y, 25, MPFR_RNDD);
+ mpfr_div_2ui (y, y, 4, MPFR_RNDN);
+ }
+ }
+ }
+ mpfr_clears (x, y, z1, z2, (mpfr_ptr) 0);
+ }
+}
+
#define TEST_FUNCTION test_sub
#define TWO_ARGS
#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), randlimb () % 100, RANDS)
@@ -962,6 +1096,7 @@
check_inexact ();
check_max_almosteven ();
bug_ddefour ();
+ bug20180217 ();
for (p=2; p<200; p++)
for (i=0; i<50; i++)
check_two_sum (p);
diff -Naurd mpfr-4.0.1-a/tests/tsub1sp.c mpfr-4.0.1-b/tests/tsub1sp.c
--- mpfr-4.0.1-a/tests/tsub1sp.c 2018-01-09 12:30:58.000000000 +0000
+++ mpfr-4.0.1-b/tests/tsub1sp.c 2018-04-27 12:40:46.858268585 +0000
@@ -284,6 +284,91 @@
}
}
+static void
+coverage (void)
+{
+ mpfr_t a, b, c, d, u;
+ int inex;
+
+ /* coverage test in mpfr_sub1sp: case d=1, limb > MPFR_LIMB_HIGHBIT, RNDF
+ and also RNDZ */
+ mpfr_init2 (a, 3 * GMP_NUMB_BITS);
+ mpfr_init2 (b, 3 * GMP_NUMB_BITS);
+ mpfr_init2 (c, 3 * GMP_NUMB_BITS);
+ mpfr_init2 (d, 3 * GMP_NUMB_BITS);
+ mpfr_init2 (u, 3 * GMP_NUMB_BITS);
+ mpfr_set_ui (b, 1, MPFR_RNDN);
+ mpfr_nextbelow (b); /* b = 1 - 2^(-p) */
+ mpfr_set_prec (c, GMP_NUMB_BITS);
+ mpfr_set_ui_2exp (c, 1, -1, MPFR_RNDN);
+ mpfr_nextbelow (c);
+ mpfr_nextbelow (c); /* c = 1/2 - 2*2^(-GMP_NUMB_BITS-1) */
+ mpfr_prec_round (c, 3 * GMP_NUMB_BITS, MPFR_RNDN);
+ mpfr_nextbelow (c); /* c = 1/2 - 2*2^(-GMP_NUMB_BITS-1) - 2^(-p-1) */
+ /* b-c = c */
+ mpfr_sub (a, b, c, MPFR_RNDF);
+ mpfr_sub (d, b, c, MPFR_RNDD);
+ mpfr_sub (u, b, c, MPFR_RNDU);
+ /* check a = d or u */
+ MPFR_ASSERTN(mpfr_equal_p (a, d) || mpfr_equal_p (a, u));
+
+ /* coverage test in mpfr_sub1sp: case d=p, RNDN, sb = 0, significand of b
+ is even but b<>2^e, (case 1e) */
+ mpfr_set_prec (a, 3 * GMP_NUMB_BITS);
+ mpfr_set_prec (b, 3 * GMP_NUMB_BITS);
+ mpfr_set_prec (c, 3 * GMP_NUMB_BITS);
+ mpfr_set_ui (b, 1, MPFR_RNDN);
+ mpfr_nextabove (b);
+ mpfr_nextabove (b);
+ mpfr_set_ui_2exp (c, 1, -3 * GMP_NUMB_BITS, MPFR_RNDN);
+ inex = mpfr_sub (a, b, c, MPFR_RNDN);
+ MPFR_ASSERTN(inex > 0);
+ MPFR_ASSERTN(mpfr_equal_p (a, b));
+
+ mpfr_clear (a);
+ mpfr_clear (b);
+ mpfr_clear (c);
+ mpfr_clear (d);
+ mpfr_clear (u);
+}
+
+/* bug in mpfr_sub1sp1n, made generic */
+static void
+bug20180217 (mpfr_prec_t pmax)
+{
+ mpfr_t a, b, c;
+ int inex;
+ mpfr_prec_t p;
+
+ for (p = MPFR_PREC_MIN; p <= pmax; p++)
+ {
+ mpfr_init2 (a, p);
+ mpfr_init2 (b, p);
+ mpfr_init2 (c, p);
+ mpfr_set_ui (b, 1, MPFR_RNDN); /* b = 1 */
+ mpfr_set_ui_2exp (c, 1, -p-1, MPFR_RNDN); /* c = 2^(-p-1) */
+ /* a - b = 1 - 2^(-p-1) and should be rounded to 1 (case 2f of
+ mpfr_sub1sp) */
+ inex = mpfr_sub (a, b, c, MPFR_RNDN);
+ MPFR_ASSERTN(inex > 0);
+ MPFR_ASSERTN(mpfr_cmp_ui (a, 1) == 0);
+ /* check also when a=b */
+ mpfr_set_ui (a, 1, MPFR_RNDN);
+ inex = mpfr_sub (a, a, c, MPFR_RNDN);
+ MPFR_ASSERTN(inex > 0);
+ MPFR_ASSERTN(mpfr_cmp_ui (a, 1) == 0);
+ /* and when a=c */
+ mpfr_set_ui (b, 1, MPFR_RNDN); /* b = 1 */
+ mpfr_set_ui_2exp (a, 1, -p-1, MPFR_RNDN);
+ inex = mpfr_sub (a, b, a, MPFR_RNDN);
+ MPFR_ASSERTN(inex > 0);
+ MPFR_ASSERTN(mpfr_cmp_ui (a, 1) == 0);
+ mpfr_clear (a);
+ mpfr_clear (b);
+ mpfr_clear (c);
+ }
+}
+
int
main (void)
{
@@ -291,6 +376,8 @@
tests_start_mpfr ();
+ bug20180217 (1024);
+ coverage ();
compare_sub_sub1sp ();
test20170208 ();
bug20170109 ();
diff -Naurd mpfr-4.0.1-a/PATCHES mpfr-4.0.1-b/PATCHES
--- mpfr-4.0.1-a/PATCHES 2018-04-27 12:45:53.139452673 +0000
+++ mpfr-4.0.1-b/PATCHES 2018-04-27 12:45:53.171452379 +0000
@@ -0,0 +1 @@
+fma
diff -Naurd mpfr-4.0.1-a/VERSION mpfr-4.0.1-b/VERSION
--- mpfr-4.0.1-a/VERSION 2018-04-27 12:40:46.870268475 +0000
+++ mpfr-4.0.1-b/VERSION 2018-04-27 12:45:53.171452379 +0000
@@ -1 +1 @@
-4.0.1-p1
+4.0.1-p2
diff -Naurd mpfr-4.0.1-a/src/fma.c mpfr-4.0.1-b/src/fma.c
--- mpfr-4.0.1-a/src/fma.c 2018-01-09 12:30:58.000000000 +0000
+++ mpfr-4.0.1-b/src/fma.c 2018-04-27 12:45:53.159452489 +0000
@@ -225,194 +225,73 @@
if (MPFR_IS_INF (u)) /* overflow */
{
+ int sign_u = MPFR_SIGN (u);
+
MPFR_LOG_MSG (("Overflow on x*y\n", 0));
+ MPFR_GROUP_CLEAR (group); /* we no longer need u */
/* Let's eliminate the obvious case where x*y and z have the
same sign. No possible cancellation -> real overflow.
Also, we know that |z| < 2^emax. If E(x) + E(y) >= emax+3,
- then |x*y| >= 2^(emax+1), and |x*y + z| >= 2^emax. This case
+ then |x*y| >= 2^(emax+1), and |x*y + z| > 2^emax. This case
is also an overflow. */
- if (MPFR_SIGN (u) == MPFR_SIGN (z) || e >= __gmpfr_emax + 3)
+ if (sign_u == MPFR_SIGN (z) || e >= __gmpfr_emax + 3)
{
- MPFR_GROUP_CLEAR (group);
MPFR_SAVE_EXPO_FREE (expo);
- return mpfr_overflow (s, rnd_mode, MPFR_SIGN (z));
+ return mpfr_overflow (s, rnd_mode, sign_u);
}
-
- /* E(x) + E(y) <= emax+2, therefore |x*y| < 2^(emax+2), and
- (x/4)*y does not overflow (let's recall that the result
- is exact with an unbounded exponent range). It does not
- underflow either, because x*y overflows and the exponent
- range is large enough. */
- inexact = mpfr_div_2ui (u, x, 2, MPFR_RNDN);
- MPFR_ASSERTN (inexact == 0);
- inexact = mpfr_mul (u, u, y, MPFR_RNDN);
- MPFR_ASSERTN (inexact == 0);
-
- /* Now, we need to add z/4... But it may underflow! */
- {
- mpfr_t zo4;
- mpfr_srcptr zz;
- MPFR_BLOCK_DECL (flags);
-
- if (MPFR_GET_EXP (u) > MPFR_GET_EXP (z) &&
- MPFR_GET_EXP (u) - MPFR_GET_EXP (z) > MPFR_PREC (u))
- {
- /* |z| < ulp(u)/2, therefore one can use z instead of z/4. */
- zz = z;
- }
- else
- {
- mpfr_init2 (zo4, MPFR_PREC (z));
- if (mpfr_div_2ui (zo4, z, 2, MPFR_RNDZ))
- {
- /* The division by 4 underflowed! */
- MPFR_ASSERTN (0); /* TODO... */
- }
- zz = zo4;
- }
-
- /* Let's recall that u = x*y/4 and zz = z/4 (or z if the
- following addition would give the same result). */
- MPFR_BLOCK (flags, inexact = mpfr_add (s, u, zz, rnd_mode));
- /* u and zz have different signs, so that an overflow
- is not possible. But an underflow is theoretically
- possible! */
- if (MPFR_UNDERFLOW (flags))
- {
- MPFR_ASSERTN (zz != z);
- MPFR_ASSERTN (0); /* TODO... */
- mpfr_clears (zo4, u, (mpfr_ptr) 0);
- }
- else
- {
- int inex2;
-
- if (zz != z)
- mpfr_clear (zo4);
- MPFR_GROUP_CLEAR (group);
- MPFR_ASSERTN (! MPFR_OVERFLOW (flags));
- inex2 = mpfr_mul_2ui (s, s, 2, rnd_mode);
- if (inex2) /* overflow */
- {
- inexact = inex2;
- MPFR_SAVE_EXPO_UPDATE_FLAGS (expo, __gmpfr_flags);
- }
- goto end;
- }
- }
}
- else /* underflow: one has |xy| < 2^(emin-1). */
+ else /* underflow: one has |x*y| < 2^(emin-1). */
{
- unsigned long scale = 0;
- mpfr_t scaled_z;
- mpfr_srcptr new_z;
- mpfr_exp_t diffexp;
- mpfr_prec_t pzs;
- int xy_underflows;
-
MPFR_LOG_MSG (("Underflow on x*y\n", 0));
- /* Let's scale z so that ulp(z) > 2^emin and ulp(s) > 2^emin
- (the + 1 on MPFR_PREC (s) is necessary because the exponent
- of the result can be EXP(z) - 1). */
- diffexp = MPFR_GET_EXP (z) - __gmpfr_emin;
- pzs = MAX (MPFR_PREC (z), MPFR_PREC (s) + 1);
- MPFR_LOG_MSG (("diffexp=%" MPFR_EXP_FSPEC "d pzs=%Pd\n",
- diffexp, pzs));
- if (diffexp <= pzs)
- {
- mpfr_uexp_t uscale;
- mpfr_t scaled_v;
- MPFR_BLOCK_DECL (flags);
-
- uscale = (mpfr_uexp_t) pzs - diffexp + 1;
- MPFR_ASSERTN (uscale > 0);
- MPFR_ASSERTN (uscale <= ULONG_MAX);
- scale = uscale;
- mpfr_init2 (scaled_z, MPFR_PREC (z));
- inexact = mpfr_mul_2ui (scaled_z, z, scale, MPFR_RNDN);
- MPFR_ASSERTN (inexact == 0); /* TODO: overflow case */
- new_z = scaled_z;
- /* Now we need to recompute u = xy * 2^scale. */
- MPFR_BLOCK (flags,
- if (MPFR_GET_EXP (x) < MPFR_GET_EXP (y))
- {
- mpfr_init2 (scaled_v, precx);
- mpfr_mul_2ui (scaled_v, x, scale, MPFR_RNDN);
- mpfr_mul (u, scaled_v, y, MPFR_RNDN);
- }
- else
- {
- mpfr_init2 (scaled_v, precy);
- mpfr_mul_2ui (scaled_v, y, scale, MPFR_RNDN);
- mpfr_mul (u, x, scaled_v, MPFR_RNDN);
- });
- mpfr_clear (scaled_v);
- MPFR_ASSERTN (! MPFR_OVERFLOW (flags));
- xy_underflows = MPFR_UNDERFLOW (flags);
- }
- else
- {
- new_z = z;
- xy_underflows = 1;
- }
-
- MPFR_LOG_MSG (("scale=%lu xy_underflows=%d\n",
- scale, xy_underflows));
-
- if (xy_underflows)
+ /* Easy cases: when 2^(emin-1) <= 1/2 * min(ulp(z),ulp(s)),
+ one can replace x*y by sign(x*y) * 2^(emin-1). Note that
+ this is even true in case of equality for MPFR_RNDN thanks
+ to the even-rounding rule.
+ The + 1 on MPFR_PREC (s) is necessary because the exponent
+ of the result can be EXP(z) - 1. */
+ if (MPFR_GET_EXP (z) - __gmpfr_emin >=
+ MAX (MPFR_PREC (z), MPFR_PREC (s) + 1))
{
- /* Let's replace xy by sign(xy) * 2^(emin-1). */
MPFR_PREC (u) = MPFR_PREC_MIN;
mpfr_setmin (u, __gmpfr_emin);
MPFR_SET_SIGN (u, MPFR_MULT_SIGN (MPFR_SIGN (x),
MPFR_SIGN (y)));
+ mpfr_clear_flags ();
+ goto add;
}
- {
- MPFR_BLOCK_DECL (flags);
+ MPFR_GROUP_CLEAR (group); /* we no longer need u */
+ }
- MPFR_BLOCK (flags, inexact = mpfr_add (s, u, new_z, rnd_mode));
- MPFR_LOG_MSG (("inexact=%d\n", inexact));
- MPFR_GROUP_CLEAR (group);
- if (scale != 0)
- {
- int inex2;
+ /* Let's use UBF to resolve the overflow/underflow issues. */
+ {
+ mpfr_ubf_t uu;
+ mp_size_t un;
+ mpfr_limb_ptr up;
+ MPFR_TMP_DECL(marker);
- mpfr_clear (scaled_z);
- /* Here an overflow is theoretically possible, in which case
- the result may be wrong, hence the assert. An underflow
- is not possible, but let's check that anyway. */
- MPFR_ASSERTN (! MPFR_OVERFLOW (flags)); /* TODO... */
- MPFR_ASSERTN (! MPFR_UNDERFLOW (flags)); /* not possible */
- if (rnd_mode == MPFR_RNDN &&
- MPFR_GET_EXP (s) == __gmpfr_emin - 1 + scale &&
- mpfr_powerof2_raw (s))
- {
- MPFR_LOG_MSG (("Double rounding\n", 0));
- rnd_mode = (MPFR_IS_NEG (s) ? inexact <= 0 : inexact >= 0)
- ? MPFR_RNDZ : MPFR_RNDA;
- }
- inex2 = mpfr_div_2ui (s, s, scale, rnd_mode);
- MPFR_LOG_MSG (("inex2=%d\n", inex2));
- if (inex2) /* underflow */
- inexact = inex2;
- }
- }
+ MPFR_LOG_MSG (("Use UBF\n", 0));
- /* FIXME/TODO: I'm not sure that the following is correct.
- Check for possible spurious exceptions due to intermediate
- computations. */
- MPFR_SAVE_EXPO_UPDATE_FLAGS (expo, __gmpfr_flags);
- goto end;
- }
+ MPFR_TMP_MARK (marker);
+ un = MPFR_LIMB_SIZE (x) + MPFR_LIMB_SIZE (y);
+ MPFR_TMP_INIT (up, uu, (mpfr_prec_t) un * GMP_NUMB_BITS, un);
+ mpfr_ubf_mul_exact (uu, x, y);
+ mpfr_clear_flags ();
+ inexact = mpfr_add (s, (mpfr_srcptr) uu, z, rnd_mode);
+ MPFR_UBF_CLEAR_EXP (uu);
+ MPFR_TMP_FREE (marker);
+ }
+ }
+ else
+ {
+ add:
+ inexact = mpfr_add (s, u, z, rnd_mode);
+ MPFR_GROUP_CLEAR (group);
}
- inexact = mpfr_add (s, u, z, rnd_mode);
- MPFR_GROUP_CLEAR (group);
MPFR_SAVE_EXPO_UPDATE_FLAGS (expo, __gmpfr_flags);
- end:
MPFR_SAVE_EXPO_FREE (expo);
return mpfr_check_range (s, inexact, rnd_mode);
}
diff -Naurd mpfr-4.0.1-a/src/mpfr.h mpfr-4.0.1-b/src/mpfr.h
--- mpfr-4.0.1-a/src/mpfr.h 2018-04-27 12:40:46.870268475 +0000
+++ mpfr-4.0.1-b/src/mpfr.h 2018-04-27 12:45:53.171452379 +0000
@@ -27,7 +27,7 @@
#define MPFR_VERSION_MAJOR 4
#define MPFR_VERSION_MINOR 0
#define MPFR_VERSION_PATCHLEVEL 1
-#define MPFR_VERSION_STRING "4.0.1-p1"
+#define MPFR_VERSION_STRING "4.0.1-p2"
/* User macros:
MPFR_USE_FILE: Define it to make MPFR define functions dealing
diff -Naurd mpfr-4.0.1-a/src/version.c mpfr-4.0.1-b/src/version.c
--- mpfr-4.0.1-a/src/version.c 2018-04-27 12:40:46.870268475 +0000
+++ mpfr-4.0.1-b/src/version.c 2018-04-27 12:45:53.171452379 +0000
@@ -25,5 +25,5 @@
const char *
mpfr_get_version (void)
{
- return "4.0.1-p1";
+ return "4.0.1-p2";
}
diff -Naurd mpfr-4.0.1-a/tests/tfma.c mpfr-4.0.1-b/tests/tfma.c
--- mpfr-4.0.1-a/tests/tfma.c 2018-01-09 12:30:58.000000000 +0000
+++ mpfr-4.0.1-b/tests/tfma.c 2018-04-27 12:45:53.163452452 +0000
@@ -196,6 +196,238 @@
}
static void
+test_overflow3 (void)
+{
+ mpfr_t x, y, z, r;
+ int inex;
+ mpfr_prec_t p = 8;
+ mpfr_flags_t ex_flags = MPFR_FLAGS_OVERFLOW | MPFR_FLAGS_INEXACT, flags;
+ int i, j, k;
+ unsigned int neg;
+
+ mpfr_inits2 (p, x, y, z, (mpfr_ptr) 0);
+ for (i = 0; i < 2; i++)
+ {
+ mpfr_init2 (r, 2 * p + i);
+ mpfr_set_ui_2exp (x, 1, mpfr_get_emax () - 1, MPFR_RNDN);
+ mpfr_set_ui (y, 2, MPFR_RNDN); /* y = 2 */
+ for (j = 1; j <= 2; j++)
+ for (k = 0; k <= 1; k++)
+ {
+ mpfr_set_si_2exp (z, -1, mpfr_get_emax () - mpfr_get_prec (r) - j,
+ MPFR_RNDN);
+ if (k)
+ mpfr_nextabove (z);
+ for (neg = 0; neg <= 3; neg++)
+ {
+ mpfr_clear_flags ();
+ /* (The following applies for neg = 0 or 2, all the signs
+ need to be reversed for neg = 1 or 3.)
+ We have x*y = 2^emax and
+ z = - 2^(emax-2p-i-j) * (1-k*2^(-p)), thus
+ x*y+z = 2^emax - 2^(emax-2p-i-j) + k*2^(emax-3p-i-j)
+ should overflow. Indeed it is >= the midpoint of
+ 2^emax - 2^(emax-2p-i) and 2^emax, the midpoint
+ being obtained for j = 1 and k = 0. */
+ inex = mpfr_fma (r, x, y, z, MPFR_RNDN);
+ flags = __gmpfr_flags;
+ if (! mpfr_inf_p (r) || flags != ex_flags ||
+ ((neg & 1) == 0 ?
+ (inex <= 0 || MPFR_IS_NEG (r)) :
+ (inex >= 0 || MPFR_IS_POS (r))))
+ {
+ printf ("Error in test_overflow3 for "
+ "i=%d j=%d k=%d neg=%u\n", i, j, k, neg);
+ printf ("Expected %c@Inf@\n with inex %c 0 and flags:",
+ (neg & 1) == 0 ? '+' : '-',
+ (neg & 1) == 0 ? '>' : '<');
+ flags_out (ex_flags);
+ printf ("Got ");
+ mpfr_dump (r);
+ printf (" with inex = %d and flags:", inex);
+ flags_out (flags);
+ exit (1);
+ }
+ if (neg == 0 || neg == 2)
+ mpfr_neg (x, x, MPFR_RNDN);
+ if (neg == 1 || neg == 3)
+ mpfr_neg (y, y, MPFR_RNDN);
+ mpfr_neg (z, z, MPFR_RNDN);
+ } /* neg */
+ } /* k */
+ mpfr_clear (r);
+ } /* i */
+ mpfr_clears (x, y, z, (mpfr_ptr) 0);
+}
+
+static void
+test_overflow4 (void)
+{
+ mpfr_t x, y, z, r1, r2;
+ mpfr_exp_t emax, e;
+ mpfr_prec_t px;
+ mpfr_flags_t flags1, flags2;
+ int inex1, inex2;
+ int ei, i, j;
+ int below;
+ unsigned int neg;
+
+ emax = mpfr_get_emax ();
+
+ mpfr_init2 (y, MPFR_PREC_MIN);
+ mpfr_set_ui (y, 2, MPFR_RNDN); /* y = 2 */
+
+ mpfr_init2 (z, 8);
+
+ for (px = 17; px < 256; px *= 2)
+ {
+ mpfr_init2 (x, px);
+ mpfr_inits2 (px - 8, r1, r2, (mpfr_ptr) 0);
+ for (ei = 0; ei <= 1; ei++)
+ {
+ e = ei ? emax : 0;
+ mpfr_set_ui_2exp (x, 1, e - 1, MPFR_RNDN);
+ mpfr_nextabove (x); /* x = 2^(e - 1) + 2^(e - px) */
+ /* x*y = 2^e + 2^(e - px + 1), which internally overflows
+ when e = emax. */
+ for (i = -4; i <= 4; i++)
+ for (j = 2; j <= 3; j++)
+ {
+ mpfr_set_si_2exp (z, -j, e - px + i, MPFR_RNDN);
+ /* If |z| <= 2^(e - px + 1), then x*y + z >= 2^e and
+ RZ(x*y + z) = 2^e with an unbounded exponent range.
+ If |z| > 2^(e - px + 1), then RZ(x*y + z) is the
+ predecessor of 2^e (since |z| < ulp(r)/2); this
+ occurs when i > 0 and when i = 0 and j > 2 */
+ mpfr_set_ui_2exp (r1, 1, e - 1, MPFR_RNDN);
+ below = i > 0 || (i == 0 && j > 2);
+ if (below)
+ mpfr_nextbelow (r1);
+ mpfr_clear_flags ();
+ inex1 = mpfr_mul_2ui (r1, r1, 1, MPFR_RNDZ);
+ if (below || e < emax)
+ {
+ inex1 = i == 0 && j == 2 ? 0 : -1;
+ flags1 = inex1 ? MPFR_FLAGS_INEXACT : 0;
+ }
+ else
+ {
+ MPFR_ASSERTN (inex1 < 0);
+ flags1 = MPFR_FLAGS_INEXACT | MPFR_FLAGS_OVERFLOW;
+ MPFR_ASSERTN (flags1 == __gmpfr_flags);
+ }
+ for (neg = 0; neg <= 3; neg++)
+ {
+ mpfr_clear_flags ();
+ inex2 = mpfr_fma (r2, x, y, z, MPFR_RNDZ);
+ flags2 = __gmpfr_flags;
+ if (! (mpfr_equal_p (r1, r2) &&
+ SAME_SIGN (inex1, inex2) &&
+ flags1 == flags2))
+ {
+ printf ("Error in test_overflow4 for "
+ "px=%d ei=%d i=%d j=%d neg=%u\n",
+ (int) px, ei, i, j, neg);
+ printf ("Expected ");
+ mpfr_dump (r1);
+ printf ("with inex = %d and flags:", inex1);
+ flags_out (flags1);
+ printf ("Got ");
+ mpfr_dump (r2);
+ printf ("with inex = %d and flags:", inex2);
+ flags_out (flags2);
+ exit (1);
+ }
+ if (neg == 0 || neg == 2)
+ mpfr_neg (x, x, MPFR_RNDN);
+ if (neg == 1 || neg == 3)
+ mpfr_neg (y, y, MPFR_RNDN);
+ mpfr_neg (z, z, MPFR_RNDN);
+ mpfr_neg (r1, r1, MPFR_RNDN);
+ inex1 = - inex1;
+ }
+ }
+ }
+ mpfr_clears (x, r1, r2, (mpfr_ptr) 0);
+ }
+
+ mpfr_clears (y, z, (mpfr_ptr) 0);
+}
+
+static void
+test_overflow5 (void)
+{
+ mpfr_t x, y, z, r1, r2;
+ mpfr_exp_t emax;
+ int inex1, inex2;
+ int i, rnd;
+ unsigned int neg, negr;
+
+ emax = mpfr_get_emax ();
+
+ mpfr_init2 (x, 123);
+ mpfr_init2 (y, 45);
+ mpfr_init2 (z, 67);
+ mpfr_inits2 (89, r1, r2, (mpfr_ptr) 0);
+
+ mpfr_set_ui_2exp (x, 1, emax - 1, MPFR_RNDN);
+
+ for (i = 3; i <= 17; i++)
+ {
+ mpfr_set_ui (y, i, MPFR_RNDN);
+ mpfr_set_ui_2exp (z, 1, emax - 1, MPFR_RNDN);
+ for (neg = 0; neg < 8; neg++)
+ {
+ mpfr_setsign (x, x, neg & 1, MPFR_RNDN);
+ mpfr_setsign (y, y, neg & 2, MPFR_RNDN);
+ mpfr_setsign (z, z, neg & 4, MPFR_RNDN);
+
+ /* |x*y + z| = (i +/- 1) * 2^(emax - 1) >= 2^emax (overflow)
+ and x*y + z has the same sign as x*y. */
+ negr = (neg ^ (neg >> 1)) & 1;
+
+ RND_LOOP (rnd)
+ {
+ mpfr_set_inf (r1, 1);
+ if (MPFR_IS_LIKE_RNDZ ((mpfr_rnd_t) rnd, negr))
+ {
+ mpfr_nextbelow (r1);
+ inex1 = -1;
+ }
+ else
+ inex1 = 1;
+
+ if (negr)
+ {
+ mpfr_neg (r1, r1, MPFR_RNDN);
+ inex1 = - inex1;
+ }
+
+ mpfr_clear_flags ();
+ inex2 = mpfr_fma (r2, x, y, z, (mpfr_rnd_t) rnd);
+ MPFR_ASSERTN (__gmpfr_flags ==
+ (MPFR_FLAGS_INEXACT | MPFR_FLAGS_OVERFLOW));
+
+ if (! (mpfr_equal_p (r1, r2) && SAME_SIGN (inex1, inex2)))
+ {
+ printf ("Error in test_overflow5 for i=%d neg=%u %s\n",
+ i, neg, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
+ printf ("Expected ");
+ mpfr_dump (r1);
+ printf ("with inex = %d\n", inex1);
+ printf ("Got ");
+ mpfr_dump (r2);
+ printf ("with inex = %d\n", inex2);
+ exit (1);
+ }
+ } /* rnd */
+ } /* neg */
+ } /* i */
+
+ mpfr_clears (x, y, z, r1, r2, (mpfr_ptr) 0);
+}
+
+static void
test_underflow1 (void)
{
mpfr_t x, y, z, r;
@@ -281,59 +513,128 @@
static void
test_underflow2 (void)
{
- mpfr_t x, y, z, r;
- int b, i, inex, same, err = 0;
+ mpfr_t x, y, z, r1, r2;
+ int e, b, i, prec = 32, pz, inex;
+ unsigned int neg;
- mpfr_inits2 (32, x, y, z, r, (mpfr_ptr) 0);
+ mpfr_init2 (x, MPFR_PREC_MIN);
+ mpfr_inits2 (prec, y, z, r1, r2, (mpfr_ptr) 0);
- mpfr_set_si_2exp (z, 1, mpfr_get_emin (), MPFR_RNDN); /* z = 2^emin */
- mpfr_set_si_2exp (x, 1, mpfr_get_emin (), MPFR_RNDN); /* x = 2^emin */
+ mpfr_set_si_2exp (x, 1, mpfr_get_emin () - 1, MPFR_RNDN);
+ /* x = 2^(emin-1) */
- for (b = 0; b <= 1; b++)
+ for (e = -1; e <= prec + 2; e++)
{
- for (i = 15; i <= 17; i++)
+ mpfr_set (z, x, MPFR_RNDN);
+ /* z = x = 2^(emin+e) */
+ for (b = 0; b <= 1; b++)
{
- mpfr_set_si_2exp (y, i, -4 - MPFR_PREC (z), MPFR_RNDN);
- /* z = 1.000...00b
- * xy = 01111
- * or 10000
- * or 10001
- */
- mpfr_clear_flags ();
- inex = mpfr_fma (r, x, y, z, MPFR_RNDN);
-#define STRTU2 "Error in test_underflow2 (b = %d, i = %d)\n "
- if (__gmpfr_flags != MPFR_FLAGS_INEXACT)
- {
- printf (STRTU2 "flags = %u instead of %u\n", b, i,
- (unsigned int) __gmpfr_flags,
- (unsigned int) MPFR_FLAGS_INEXACT);
- err = 1;
- }
- same = i == 15 || (i == 16 && b == 0);
- if (same ? (inex >= 0) : (inex <= 0))
- {
- printf (STRTU2 "incorrect ternary value (%d instead of %c 0)\n",
- b, i, inex, same ? '<' : '>');
- err = 1;
- }
- mpfr_set (y, z, MPFR_RNDN);
- if (!same)
- mpfr_nextabove (y);
- if (! mpfr_equal_p (r, y))
+ for (pz = prec - 4 * (b == 0); pz <= prec + 4; pz++)
{
- printf (STRTU2 "expected ", b, i);
- mpfr_dump (y);
- printf (" got ");
- mpfr_dump (r);
- err = 1;
- }
- }
- mpfr_nextabove (z);
- }
+ inex = mpfr_prec_round (z, pz, MPFR_RNDZ);
+ MPFR_ASSERTN (inex == 0);
+ for (i = 15; i <= 17; i++)
+ {
+ mpfr_flags_t flags1, flags2;
+ int inex1, inex2;
- if (err)
- exit (1);
- mpfr_clears (x, y, z, r, (mpfr_ptr) 0);
+ mpfr_set_si_2exp (y, i, -4 - prec, MPFR_RNDN);
+
+ /* <--- r --->
+ * z = 1.000...00b with b = 0 or 1
+ * xy = 01111 (i = 15)
+ * or 10000 (i = 16)
+ * or 10001 (i = 17)
+ *
+ * x, y, and z will be modified to test the different sign
+ * combinations. In the case b = 0 (i.e. |z| is a power of
+ * 2) and x*y has a different sign from z, then y will be
+ * divided by 2, so that i = 16 corresponds to a midpoint.
+ */
+
+ for (neg = 0; neg < 8; neg++)
+ {
+ int xyneg, prev_binade;
+
+ mpfr_setsign (x, x, neg & 1, MPFR_RNDN);
+ mpfr_setsign (y, y, neg & 2, MPFR_RNDN);
+ mpfr_setsign (z, z, neg & 4, MPFR_RNDN);
+
+ xyneg = (neg ^ (neg >> 1)) & 1; /* true iff x*y < 0 */
+
+ /* If a change of binade occurs by adding x*y to z
+ exactly, then take into account the fact that the
+ midpoint has a different exponent. */
+ prev_binade = b == 0 && (xyneg ^ MPFR_IS_NEG (z));
+ if (prev_binade)
+ mpfr_div_2ui (y, y, 1, MPFR_RNDN);
+
+ mpfr_set (r1, z, MPFR_RNDN);
+ flags1 = MPFR_FLAGS_INEXACT;
+
+ if (e == -1 && i == 17 && b == 0 &&
+ (xyneg ^ (neg >> 2)) != 0)
+ {
+ /* Special underflow case. */
+ flags1 |= MPFR_FLAGS_UNDERFLOW;
+ inex1 = xyneg ? 1 : -1;
+ }
+ else if (i == 15 || (i == 16 && b == 0))
+ {
+ /* round toward z */
+ inex1 = xyneg ? 1 : -1;
+ }
+ else if (xyneg)
+ {
+ /* round away from z, with x*y < 0 */
+ mpfr_nextbelow (r1);
+ inex1 = -1;
+ }
+ else
+ {
+ /* round away from z, with x*y > 0 */
+ mpfr_nextabove (r1);
+ inex1 = 1;
+ }
+
+ mpfr_clear_flags ();
+ inex2 = mpfr_fma (r2, x, y, z, MPFR_RNDN);
+ flags2 = __gmpfr_flags;
+
+ if (! (mpfr_equal_p (r1, r2) &&
+ SAME_SIGN (inex1, inex2) &&
+ flags1 == flags2))
+ {
+ printf ("Error in test_underflow2 for "
+ "e=%d b=%d pz=%d i=%d neg=%u\n",
+ e, b, pz, i, neg);
+ printf ("Expected ");
+ mpfr_dump (r1);
+ printf ("with inex = %d and flags:", inex1);
+ flags_out (flags1);