diff options
Diffstat (limited to 'source/l/mpfr/patches/patch08')
-rw-r--r-- | source/l/mpfr/patches/patch08 | 636 |
1 files changed, 0 insertions, 636 deletions
diff --git a/source/l/mpfr/patches/patch08 b/source/l/mpfr/patches/patch08 deleted file mode 100644 index aaa90303e..000000000 --- a/source/l/mpfr/patches/patch08 +++ /dev/null @@ -1,636 +0,0 @@ -diff -Naurd mpfr-4.2.0-a/PATCHES mpfr-4.2.0-b/PATCHES ---- mpfr-4.2.0-a/PATCHES 2023-05-17 17:17:28.512360351 +0000 -+++ mpfr-4.2.0-b/PATCHES 2023-05-17 17:17:28.600360192 +0000 -@@ -0,0 +1 @@ -+compound -diff -Naurd mpfr-4.2.0-a/VERSION mpfr-4.2.0-b/VERSION ---- mpfr-4.2.0-a/VERSION 2023-05-12 15:08:39.325546612 +0000 -+++ mpfr-4.2.0-b/VERSION 2023-05-17 17:17:28.600360192 +0000 -@@ -1 +1 @@ --4.2.0-p7 -+4.2.0-p8 -diff -Naurd mpfr-4.2.0-a/src/compound.c mpfr-4.2.0-b/src/compound.c ---- mpfr-4.2.0-a/src/compound.c 2023-01-05 17:09:48.000000000 +0000 -+++ mpfr-4.2.0-b/src/compound.c 2023-05-17 17:17:28.588360213 +0000 -@@ -55,9 +55,9 @@ - mpfr_compound_si (mpfr_ptr y, mpfr_srcptr x, long n, mpfr_rnd_t rnd_mode) - { - int inexact, compared, k, nloop; -- mpfr_t t; -- mpfr_exp_t e; -- mpfr_prec_t prec; -+ mpfr_t t, u; -+ mpfr_prec_t py, prec, extra; -+ mpfr_rnd_t rnd1; - MPFR_ZIV_DECL (loop); - MPFR_SAVE_EXPO_DECL (expo); - -@@ -136,64 +136,185 @@ - - MPFR_SAVE_EXPO_MARK (expo); - -- prec = MPFR_PREC(y); -- prec += MPFR_INT_CEIL_LOG2 (prec) + 6; -+ py = MPFR_GET_PREC (y); -+ prec = py + MPFR_INT_CEIL_LOG2 (py) + 6; - - mpfr_init2 (t, prec); -+ mpfr_init2 (u, prec); - - k = MPFR_INT_CEIL_LOG2(SAFE_ABS (unsigned long, n)); /* thus |n| <= 2^k */ - -+ /* We compute u=log2p1(x) with prec+extra bits, since we lose some bits -+ in 2^u. */ -+ extra = 0; -+ rnd1 = VSIGN (n) == MPFR_SIGN (x) ? MPFR_RNDD : MPFR_RNDU; -+ - MPFR_ZIV_INIT (loop, prec); - for (nloop = 0; ; nloop++) - { -- /* we compute (1+x)^n as 2^(n*log2p1(x)) */ -- inexact = mpfr_log2p1 (t, x, MPFR_RNDN) != 0; -- e = MPFR_GET_EXP(t); -- /* |t - log2(1+x)| <= 1/2*ulp(t) = 2^(e-prec-1) */ -- inexact |= mpfr_mul_si (t, t, n, MPFR_RNDN) != 0; -- /* |t - n*log2(1+x)| <= 2^(e2-prec-1) + |n|*2^(e-prec-1) -- <= 2^(e2-prec-1) + 2^(e+k-prec-1) <= 2^(e+k-prec) -- where |n| <= 2^k, and e2 is the new exponent of t. */ -- MPFR_ASSERTD(MPFR_GET_EXP(t) <= e + k); -- e += k; -- /* |t - n*log2(1+x)| <= 2^(e-prec) */ -- /* detect overflow */ -- if (nloop == 0 && mpfr_cmp_si (t, __gmpfr_emax) >= 0) -+ unsigned int inex; -+ mpfr_exp_t e, e2, ex; -+ mpfr_prec_t precu = MPFR_ADD_PREC (prec, extra); -+ mpfr_prec_t new_extra; -+ mpfr_rnd_t rnd2; -+ -+ /* We compute (1+x)^n as 2^(n*log2p1(x)), -+ and we round toward 1, thus we round n*log2p1(x) toward 0, -+ thus for x*n > 0 we round log2p1(x) toward -Inf, and for x*n < 0 -+ we round log2p1(x) toward +Inf. */ -+ inex = mpfr_log2p1 (u, x, rnd1) != 0; -+ e = MPFR_GET_EXP (u); -+ /* |u - log2(1+x)| <= ulp(t) = 2^(e-precu) */ -+ inex |= mpfr_mul_si (u, u, n, MPFR_RNDZ) != 0; -+ e2 = MPFR_GET_EXP (u); -+ /* |u - n*log2(1+x)| <= 2^(e2-precu) + |n|*2^(e-precu) -+ <= 2^(e2-precu) + 2^(e+k-precu) <= 2^(e+k+1-precu) -+ where |n| <= 2^k, and e2 is the new exponent of u. */ -+ MPFR_ASSERTD (e2 <= e + k); -+ e += k + 1; -+ MPFR_ASSERTN (e2 <= MPFR_PREC_MAX); -+ new_extra = e2 > 0 ? e2 : 0; -+ /* |u - n*log2(1+x)| <= 2^(e-precu) */ -+ /* detect overflow: since we rounded n*log2p1(x) toward 0, -+ if n*log2p1(x) >= __gmpfr_emax, we are sure there is overflow. */ -+ if (mpfr_cmp_si (u, __gmpfr_emax) >= 0) - { - MPFR_ZIV_FREE (loop); - mpfr_clear (t); -+ mpfr_clear (u); - MPFR_SAVE_EXPO_FREE (expo); - return mpfr_overflow (y, rnd_mode, 1); - } -- /* detect underflow */ -- if (nloop == 0 && mpfr_cmp_si (t, __gmpfr_emin - 1) <= 0) -+ /* detect underflow: similarly, since we rounded n*log2p1(x) toward 0, -+ if n*log2p1(x) < __gmpfr_emin-1, we are sure there is underflow. */ -+ if (mpfr_cmp_si (u, __gmpfr_emin - 1) < 0) - { - MPFR_ZIV_FREE (loop); - mpfr_clear (t); -+ mpfr_clear (u); - MPFR_SAVE_EXPO_FREE (expo); - return mpfr_underflow (y, -- (rnd_mode == MPFR_RNDN) ? MPFR_RNDZ : rnd_mode, 1); -+ rnd_mode == MPFR_RNDN ? MPFR_RNDZ : rnd_mode, 1); - } - /* Detect cases where result is 1 or 1+ulp(1) or 1-1/2*ulp(1): -- |2^t - 1| = |exp(t*log(2)) - 1| <= |t|*log(2) < |t| */ -- if (nloop == 0 && MPFR_GET_EXP(t) < - (mpfr_exp_t) MPFR_PREC(y)) -+ |2^u - 1| = |exp(u*log(2)) - 1| <= |u|*log(2) < |u| */ -+ if (nloop == 0 && MPFR_GET_EXP(u) < - py) - { -- /* since ulp(1) = 2^(1-PREC(y)), we have |t| < 1/4*ulp(1) */ -+ /* since ulp(1) = 2^(1-py), we have |u| < 1/4*ulp(1) */ - /* mpfr_compound_near_one must be called in the extended - exponent range, so that 1 is representable. */ -- inexact = mpfr_compound_near_one (y, MPFR_SIGN (t), rnd_mode); -+ inexact = mpfr_compound_near_one (y, MPFR_SIGN (u), rnd_mode); - goto end; - } -- inexact |= mpfr_exp2 (t, t, MPFR_RNDA) != 0; -- /* |t - (1+x)^n| <= ulp(t) + |t|*log(2)*2^(e-prec) -- < 2^(EXP(t)-prec) + 2^(EXP(t)+e-prec) */ -- e = (e >= 0) ? e + 1 : 1; -+ /* FIXME: mpfr_exp2 could underflow to the smallest positive number -+ since MPFR_RNDA is used, and this case will not be detected by -+ MPFR_CAN_ROUND (see BUGS). Either fix that, or do early underflow -+ detection (which may be necessary). */ -+ /* round 2^u toward 1 */ -+ rnd2 = MPFR_IS_POS (u) ? MPFR_RNDD : MPFR_RNDU; -+ inex |= mpfr_exp2 (t, u, rnd2) != 0; -+ /* we had |u - n*log2(1+x)| < 2^(e-precu) -+ thus u = n*log2(1+x) + delta with |delta| < 2^(e-precu) -+ then 2^u = (1+x)^n * 2^delta with |delta| < 2^(e-precu). -+ For |delta| < 0.5, |2^delta - 1| <= |delta| thus -+ |t - (1+x)^n| <= ulp(t) + |t|*2^(e-precu) -+ < 2^(EXP(t)-prec) + 2^(EXP(t)+e-precu) */ -+ e = (precu - prec >= e) ? 1 : e + 1 - (precu - prec); - /* now |t - (1+x)^n| < 2^(EXP(t)+e-prec) */ - -- if (MPFR_LIKELY (inexact == 0 || -- MPFR_CAN_ROUND (t, prec - e, MPFR_PREC(y), rnd_mode))) -+ if (MPFR_LIKELY (!inex || MPFR_CAN_ROUND (t, prec - e, py, rnd_mode))) - break; - -+ /* If t fits in the target precision (or with 1 more bit), then we can -+ round, assuming the working precision is large enough, but the above -+ MPFR_CAN_ROUND() will fail because we cannot determine the ternary -+ value. However since we rounded t toward 1, we can determine it. -+ Since the error in the approximation t is at most 2^e ulp(t), -+ this error should be less than 1/2 ulp(y), thus we should have -+ prec - py >= e + 1. */ -+ if (mpfr_min_prec (t) <= py + 1 && prec - py >= e + 1) -+ { -+ /* we add/subtract one ulp to get the correct rounding */ -+ if (rnd2 == MPFR_RNDD) /* t was rounded downwards */ -+ mpfr_nextabove (t); -+ else -+ mpfr_nextbelow (t); -+ break; -+ } -+ -+ /* Detect particular cases where Ziv's strategy may take too much -+ memory and be too long, i.e. when x^n fits in the target precision -+ (+ 1 additional bit for rounding to nearest) and the exact result -+ (1+x)^n is very close to x^n. -+ Necessarily, x is a large even integer and n > 0 (thus n > 1). -+ Since this does not depend on the working precision, we only -+ check this at the first iteration (nloop == 0). -+ Hence the first "if" below and the kx < ex test of the second "if" -+ (x is an even integer iff its least bit 1 has exponent >= 1). -+ The second test of the second "if" corresponds to another simple -+ condition that implies that x^n fits in the target precision. -+ Here are the details: -+ Let k be the minimum length of the significand of x, and x' the odd -+ (integer) significand of x. This means that 2^(k-1) <= x' < 2^k. -+ Thus 2^(n*(k-1)) <= (x')^n < 2^(k*n), and x^n has between n*(k-1)+1 -+ and k*n bits. So x^n can fit into p bits only if p >= n*(k-1)+1, -+ i.e. n*(k-1) <= p-1. -+ Note that x >= 2^k, so that x^n >= 2^(k*n). Since raw overflow -+ has already been detected, k*n cannot overflow if computed with -+ the mpfr_exp_t type. Hence the second test of the second "if", -+ which cannot overflow. */ -+ MPFR_ASSERTD (n < 0 || n > 1); -+ if (nloop == 0 && n > 1 && (ex = MPFR_GET_EXP (x)) >= 17) -+ { -+ mpfr_prec_t kx = mpfr_min_prec (x); -+ mpfr_prec_t p = py + (rnd_mode == MPFR_RNDN); -+ -+ MPFR_LOG_MSG (("Check if x^n fits... n=%ld kx=%Pd p=%Pd\n", -+ n, kx, p)); -+ if (kx < ex && n * (mpfr_exp_t) (kx - 1) <= p - 1) -+ { -+ mpfr_t v; -+ -+ /* Check whether x^n really fits into p bits. */ -+ mpfr_init2 (v, p); -+ inexact = mpfr_pow_ui (v, x, n, MPFR_RNDZ); -+ if (inexact == 0) -+ { -+ MPFR_LOG_MSG (("x^n fits into p bits\n", 0)); -+ /* (x+1)^n = x^n * (1 + 1/x)^n -+ For directed rounding, we can round when (1 + 1/x)^n -+ < 1 + 2^-p, and then the result is x^n, -+ except for rounding up. Indeed, if (1 + 1/x)^n < 1 + 2^-p, -+ 1 <= (x+1)^n < x^n * (1 + 2^-p) = x^n + x^n/2^p -+ < x^n + ulp(x^n). -+ For rounding to nearest, we can round when (1 + 1/x)^n -+ < 1 + 2^-p, and then the result is x^n when x^n fits -+ into p-1 bits, and nextabove(x^n) otherwise. */ -+ mpfr_ui_div (t, 1, x, MPFR_RNDU); -+ mpfr_add_ui (t, t, 1, MPFR_RNDU); -+ mpfr_pow_ui (t, t, n, MPFR_RNDU); -+ mpfr_sub_ui (t, t, 1, MPFR_RNDU); -+ /* t cannot be zero */ -+ if (MPFR_GET_EXP(t) < - py) -+ { -+ mpfr_set (y, v, MPFR_RNDZ); -+ if ((rnd_mode == MPFR_RNDN && mpfr_min_prec (v) == p) -+ || rnd_mode == MPFR_RNDU || rnd_mode == MPFR_RNDA) -+ { -+ /* round up */ -+ mpfr_nextabove (y); -+ inexact = 1; -+ } -+ else -+ inexact = -1; -+ mpfr_clear (v); -+ goto end; -+ } -+ } -+ mpfr_clear (v); -+ } -+ } -+ - /* Exact cases like compound(0.5,2) = 9/4 must be detected, since - except for 1+x power of 2, the log2p1 above will be inexact, - so that in the Ziv test, inexact != 0 and MPFR_CAN_ROUND will -@@ -211,6 +332,8 @@ - - MPFR_ZIV_NEXT (loop, prec); - mpfr_set_prec (t, prec); -+ extra = new_extra; -+ mpfr_set_prec (u, MPFR_ADD_PREC (prec, extra)); - } - - inexact = mpfr_set (y, t, rnd_mode); -@@ -218,6 +341,7 @@ - end: - MPFR_ZIV_FREE (loop); - mpfr_clear (t); -+ mpfr_clear (u); - - MPFR_SAVE_EXPO_FREE (expo); - return mpfr_check_range (y, inexact, rnd_mode); -diff -Naurd mpfr-4.2.0-a/src/mpfr.h mpfr-4.2.0-b/src/mpfr.h ---- mpfr-4.2.0-a/src/mpfr.h 2023-05-12 15:08:39.321546616 +0000 -+++ mpfr-4.2.0-b/src/mpfr.h 2023-05-17 17:17:28.596360199 +0000 -@@ -27,7 +27,7 @@ - #define MPFR_VERSION_MAJOR 4 - #define MPFR_VERSION_MINOR 2 - #define MPFR_VERSION_PATCHLEVEL 0 --#define MPFR_VERSION_STRING "4.2.0-p7" -+#define MPFR_VERSION_STRING "4.2.0-p8" - - /* User macros: - MPFR_USE_FILE: Define it to make MPFR define functions dealing -diff -Naurd mpfr-4.2.0-a/src/version.c mpfr-4.2.0-b/src/version.c ---- mpfr-4.2.0-a/src/version.c 2023-05-12 15:08:39.325546612 +0000 -+++ mpfr-4.2.0-b/src/version.c 2023-05-17 17:17:28.600360192 +0000 -@@ -25,5 +25,5 @@ - const char * - mpfr_get_version (void) - { -- return "4.2.0-p7"; -+ return "4.2.0-p8"; - } -diff -Naurd mpfr-4.2.0-a/tests/tcompound.c mpfr-4.2.0-b/tests/tcompound.c ---- mpfr-4.2.0-a/tests/tcompound.c 2023-01-05 17:09:48.000000000 +0000 -+++ mpfr-4.2.0-b/tests/tcompound.c 2023-05-17 17:17:28.588360213 +0000 -@@ -238,18 +238,263 @@ - mpfr_clear (y); - } - --static int --mpfr_compound2 (mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t rnd_mode) -+/* Failure with mpfr_compound_si from 2021-02-15 due to -+ incorrect underflow detection. */ -+static void -+bug_20230206 (void) - { -- return mpfr_compound_si (y, x, 2, rnd_mode); -+ if (MPFR_PREC_MIN == 1) -+ { -+ mpfr_t x, y1, y2; -+ int inex1, inex2; -+ mpfr_flags_t flags1, flags2; -+#if MPFR_PREC_BITS >= 64 -+ mpfr_exp_t emin; -+#endif -+ -+ mpfr_inits2 (1, x, y1, y2, (mpfr_ptr) 0); -+ mpfr_set_ui_2exp (x, 1, -1, MPFR_RNDN); /* x = 1/2 */ -+ -+ /* This first test is useful mainly for a 32-bit mpfr_exp_t type -+ (no failure with a 64-bit mpfr_exp_t type since the underflow -+ threshold in the extended exponent range is much lower). */ -+ -+ mpfr_set_ui_2exp (y1, 1, -1072124363, MPFR_RNDN); -+ inex1 = -1; -+ flags1 = MPFR_FLAGS_INEXACT; -+ mpfr_clear_flags (); -+ /* -1832808704 ~= -2^30 / log2(3/2) */ -+ inex2 = mpfr_compound_si (y2, x, -1832808704, MPFR_RNDN); -+ flags2 = __gmpfr_flags; -+ if (!(mpfr_equal_p (y1, y2) && -+ SAME_SIGN (inex1, inex2) && -+ flags1 == flags2)) -+ { -+ printf ("Error in bug_20230206 (1):\n"); -+ printf ("Expected "); -+ mpfr_dump (y1); -+ printf (" with inex = %d, flags =", inex1); -+ flags_out (flags1); -+ printf ("Got "); -+ mpfr_dump (y2); -+ printf (" with inex = %d, flags =", inex2); -+ flags_out (flags2); -+ exit (1); -+ } -+ -+ /* This second test is for a 64-bit mpfr_exp_t type -+ (it is disabled with a 32-bit mpfr_exp_t type). */ -+ -+ /* The "#if" makes sure that 64-bit constants are supported, avoiding -+ a compilation failure. The "if" makes sure that the constant is -+ representable in a long (this would not be the case with 32-bit -+ unsigned long and 64-bit limb). It also ensures that mpfr_exp_t -+ has at least 64 bits. */ -+#if MPFR_PREC_BITS >= 64 -+ emin = mpfr_get_emin (); -+ set_emin (MPFR_EMIN_MIN); -+ mpfr_set_ui_2exp (y1, 1, -4611686018427366846, MPFR_RNDN); -+ inex1 = 1; -+ flags1 = MPFR_FLAGS_INEXACT; -+ mpfr_clear_flags (); -+ /* -7883729320669216768 ~= -2^62 / log2(3/2) */ -+ inex2 = mpfr_compound_si (y2, x, -7883729320669216768, MPFR_RNDN); -+ flags2 = __gmpfr_flags; -+ if (!(mpfr_equal_p (y1, y2) && -+ SAME_SIGN (inex1, inex2) && -+ flags1 == flags2)) -+ { -+ printf ("Error in bug_20230206 (2):\n"); -+ printf ("Expected "); -+ mpfr_dump (y1); -+ printf (" with inex = %d, flags =", inex1); -+ flags_out (flags1); -+ printf ("Got "); -+ mpfr_dump (y2); -+ printf (" with inex = %d, flags =", inex2); -+ flags_out (flags2); -+ exit (1); -+ } -+ set_emin (emin); -+#endif -+ -+ mpfr_clears (x, y1, y2, (mpfr_ptr) 0); -+ } - } - -+/* Reported by Patrick Pelissier on 2023-02-11 for the master branch -+ (tgeneric_ui.c with GMP_CHECK_RANDOMIZE=1412991715). -+ On a 32-bit host, one gets Inf (overflow) instead of 0.1E1071805703. -+*/ -+static void -+bug_20230211 (void) -+{ -+ mpfr_t x, y1, y2; -+ int inex1, inex2; -+ mpfr_flags_t flags1, flags2; -+ -+ mpfr_inits2 (1, x, y1, y2, (mpfr_ptr) 0); -+ mpfr_set_ui_2exp (x, 1, -1, MPFR_RNDN); /* x = 1/2 */ -+ mpfr_set_ui_2exp (y1, 1, 1071805702, MPFR_RNDN); -+ inex1 = 1; -+ flags1 = MPFR_FLAGS_INEXACT; -+ mpfr_clear_flags (); -+ inex2 = mpfr_compound_si (y2, x, 1832263949, MPFR_RNDN); -+ flags2 = __gmpfr_flags; -+ if (!(mpfr_equal_p (y1, y2) && -+ SAME_SIGN (inex1, inex2) && -+ flags1 == flags2)) -+ { -+ printf ("Error in bug_20230211:\n"); -+ printf ("Expected "); -+ mpfr_dump (y1); -+ printf (" with inex = %d, flags =", inex1); -+ flags_out (flags1); -+ printf ("Got "); -+ mpfr_dump (y2); -+ printf (" with inex = %d, flags =", inex2); -+ flags_out (flags2); -+ exit (1); -+ } -+ mpfr_clears (x, y1, y2, (mpfr_ptr) 0); -+} -+ -+/* Integer overflow with compound.c d04caeae04c6a83276916c4fbac1fe9b0cec3c8b -+ (2023-02-23) or 952fb0f5cc2df1fffde3eb54c462fdae5f123ea6 in the 4.2 branch -+ on "n * (kx - 1) + 1". Note: if the only effect is just a random value, -+ this probably doesn't affect the result (one might enter the "if" while -+ one shouldn't, but the real check is done inside the "if"). This test -+ fails if -fsanitize=undefined -fno-sanitize-recover is used or if the -+ processor emits a signal in case of integer overflow. -+ This test has been made obsolete by the "kx < ex" condition -+ in 2cb3123891dd46fe0258d4aec7f8655b8ec69aaf (master branch) -+ or f5cb40571bc3d1559f05b230cf4ffecaf0952852 (4.2 branch). */ -+static void -+bug_20230517 (void) -+{ -+ mpfr_exp_t old_emax; -+ mpfr_t x; -+ -+ old_emax = mpfr_get_emax (); -+ set_emax (MPFR_EMAX_MAX); -+ -+ mpfr_init2 (x, 123456); -+ mpfr_set_ui (x, 65536, MPFR_RNDN); -+ mpfr_nextabove (x); -+ mpfr_compound_si (x, x, LONG_MAX >> 16, MPFR_RNDN); -+ mpfr_clear (x); -+ -+ set_emax (old_emax); -+} -+ -+/* Inverse function on non-special cases... -+ One has x = (1+y)^n with y > -1 and x > 0. Thus y = x^(1/n) - 1. -+ The inverse function is useful -+ - to build and check hard-to-round cases (see bad_cases() in tests.c); -+ - to test the behavior close to the overflow and underflow thresholds. -+ The case x = 0 actually needs to be handled as it may occur with -+ bad_cases() due to rounding. -+*/ - static int --mpfr_compound3 (mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t rnd_mode) -+inv_compound (mpfr_ptr y, mpfr_srcptr x, long n, mpfr_rnd_t rnd_mode) - { -- return mpfr_compound_si (y, x, 3, rnd_mode); -+ mpfr_t t; -+ int inexact; -+ mpfr_prec_t precy, prect; -+ MPFR_ZIV_DECL (loop); -+ MPFR_SAVE_EXPO_DECL (expo); -+ -+ MPFR_ASSERTN (n != 0); -+ -+ if (MPFR_UNLIKELY (MPFR_IS_ZERO (x))) -+ { -+ if (n > 0) -+ return mpfr_set_si (y, -1, rnd_mode); -+ else -+ { -+ MPFR_SET_INF (y); -+ MPFR_SET_POS (y); -+ MPFR_RET (0); -+ } -+ } -+ -+ MPFR_SAVE_EXPO_MARK (expo); -+ -+ if (mpfr_equal_p (x, __gmpfr_one)) -+ { -+ MPFR_SAVE_EXPO_FREE (expo); -+ mpfr_set_zero (y, 1); -+ MPFR_RET (0); -+ } -+ -+ precy = MPFR_GET_PREC (y); -+ prect = precy + 20; -+ mpfr_init2 (t, prect); -+ -+ MPFR_ZIV_INIT (loop, prect); -+ for (;;) -+ { -+ mpfr_exp_t expt1, expt2, err; -+ unsigned int inext; -+ -+ if (mpfr_rootn_si (t, x, n, MPFR_RNDN) == 0) -+ { -+ /* With a huge t, this case would yield inext != 0 and a -+ MPFR_CAN_ROUND failure until a huge precision is reached -+ (as the result is very close to an exact point). Fortunately, -+ since t is exact, we can obtain the correctly rounded result -+ by doing the second operation to the target precision directly. -+ */ -+ inexact = mpfr_sub_ui (y, t, 1, rnd_mode); -+ goto end; -+ } -+ expt1 = MPFR_GET_EXP (t); -+ /* |error| <= 2^(expt1-prect-1) */ -+ inext = mpfr_sub_ui (t, t, 1, MPFR_RNDN); -+ if (MPFR_UNLIKELY (MPFR_IS_ZERO (t))) -+ goto cont; /* cannot round yet */ -+ expt2 = MPFR_GET_EXP (t); -+ err = 1; -+ if (expt2 < expt1) -+ err += expt1 - expt2; -+ /* |error(rootn)| <= 2^(err+expt2-prect-2) -+ and if mpfr_sub_ui is inexact: -+ |error| <= 2^(err+expt2-prect-2) + 2^(expt2-prect-1) -+ <= (2^(err-1) + 1) * 2^(expt2-prect-1) -+ <= 2^((err+1)+expt2-prect-2) */ -+ if (inext) -+ err++; -+ /* |error| <= 2^(err+expt2-prect-2) */ -+ if (MPFR_CAN_ROUND (t, prect + 2 - err, precy, rnd_mode)) -+ break; -+ -+ cont: -+ MPFR_ZIV_NEXT (loop, prect); -+ mpfr_set_prec (t, prect); -+ } -+ -+ inexact = mpfr_set (y, t, rnd_mode); -+ -+ end: -+ MPFR_ZIV_FREE (loop); -+ mpfr_clear (t); -+ MPFR_SAVE_EXPO_FREE (expo); -+ return mpfr_check_range (y, inexact, rnd_mode); - } - -+#define DEFN(N) \ -+ static int mpfr_compound##N (mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t r) \ -+ { return mpfr_compound_si (y, x, N, r); } \ -+ static int inv_compound##N (mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t r) \ -+ { return inv_compound (y, x, N, r); } -+ -+DEFN(2) -+DEFN(3) -+DEFN(4) -+DEFN(5) -+DEFN(17) -+DEFN(120) -+ - #define TEST_FUNCTION mpfr_compound2 - #define test_generic test_generic_compound2 - #include "tgeneric.c" -@@ -258,17 +503,55 @@ - #define test_generic test_generic_compound3 - #include "tgeneric.c" - -+#define TEST_FUNCTION mpfr_compound4 -+#define test_generic test_generic_compound4 -+#include "tgeneric.c" -+ -+#define TEST_FUNCTION mpfr_compound5 -+#define test_generic test_generic_compound5 -+#include "tgeneric.c" -+ -+#define TEST_FUNCTION mpfr_compound17 -+#define test_generic test_generic_compound17 -+#include "tgeneric.c" -+ -+#define TEST_FUNCTION mpfr_compound120 -+#define test_generic test_generic_compound120 -+#include "tgeneric.c" -+ - int - main (void) - { - tests_start_mpfr (); - - check_ieee754 (); -+ bug_20230206 (); -+ bug_20230211 (); -+ bug_20230517 (); - - test_generic_si (MPFR_PREC_MIN, 100, 100); - - test_generic_compound2 (MPFR_PREC_MIN, 100, 100); - test_generic_compound3 (MPFR_PREC_MIN, 100, 100); -+ test_generic_compound4 (MPFR_PREC_MIN, 100, 100); -+ test_generic_compound5 (MPFR_PREC_MIN, 100, 100); -+ test_generic_compound17 (MPFR_PREC_MIN, 100, 100); -+ test_generic_compound120 (MPFR_PREC_MIN, 100, 100); -+ -+ /* Note: For small n, we need a psup high enough to avoid too many -+ "f exact while f^(-1) inexact" occurrences in bad_cases(). */ -+ bad_cases (mpfr_compound2, inv_compound2, "mpfr_compound2", -+ 0, -256, 255, 4, 128, 240, 40); -+ bad_cases (mpfr_compound3, inv_compound3, "mpfr_compound3", -+ 0, -256, 255, 4, 128, 120, 40); -+ bad_cases (mpfr_compound4, inv_compound4, "mpfr_compound4", -+ 0, -256, 255, 4, 128, 80, 40); -+ bad_cases (mpfr_compound5, inv_compound5, "mpfr_compound5", -+ 0, -256, 255, 4, 128, 80, 40); -+ bad_cases (mpfr_compound17, inv_compound17, "mpfr_compound17", -+ 0, -256, 255, 4, 128, 80, 40); -+ bad_cases (mpfr_compound120, inv_compound120, "mpfr_compound120", -+ 0, -256, 255, 4, 128, 80, 40); - - tests_end_mpfr (); - return 0; -diff -Naurd mpfr-4.2.0-a/tests/tests.c mpfr-4.2.0-b/tests/tests.c ---- mpfr-4.2.0-a/tests/tests.c 2023-01-05 17:09:48.000000000 +0000 -+++ mpfr-4.2.0-b/tests/tests.c 2023-05-17 17:17:28.588360213 +0000 -@@ -1086,10 +1086,9 @@ - } - if (inex_inv) - { -- printf ("bad_cases: f exact while f^(-1) inexact,\n" -- "due to a poor choice of the parameters.\n"); -- exit (1); -- /* alternatively, goto next_i */ -+ if (dbg) -+ printf ("bad_cases: f exact while f^(-1) inexact\n"); -+ goto does_not_match; - } - inex = 0; - break; -@@ -1112,6 +1111,10 @@ - if (mpfr_nanflag_p () || mpfr_overflow_p () || mpfr_underflow_p () - || ! mpfr_equal_p (z, y)) - { -+ /* This may occur when psup is not large enough: evaluating -+ x = (f^(-1))(y) then z = f(x) may not give back y if the -+ precision of x is too small. */ -+ does_not_match: - if (dbg) - { - printf ("bad_cases: inverse doesn't match for %s\ny = ", |