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-rw-r--r--patches/mpfr/3.1.3/220-root.patch621
1 files changed, 621 insertions, 0 deletions
diff --git a/patches/mpfr/3.1.3/220-root.patch b/patches/mpfr/3.1.3/220-root.patch
new file mode 100644
index 0000000..9cd62a7
--- /dev/null
+++ b/patches/mpfr/3.1.3/220-root.patch
@@ -0,0 +1,621 @@
+diff -Naurd mpfr-3.1.3-a/PATCHES mpfr-3.1.3-b/PATCHES
+--- mpfr-3.1.3-a/PATCHES 2016-02-15 15:20:51.242696408 +0000
++++ mpfr-3.1.3-b/PATCHES 2016-02-15 15:20:51.306696441 +0000
+@@ -0,0 +1 @@
++root
+diff -Naurd mpfr-3.1.3-a/VERSION mpfr-3.1.3-b/VERSION
+--- mpfr-3.1.3-a/VERSION 2016-02-15 15:20:16.922677881 +0000
++++ mpfr-3.1.3-b/VERSION 2016-02-15 15:20:51.306696441 +0000
+@@ -1 +1 @@
+-3.1.3-p11
++3.1.3-p12
+diff -Naurd mpfr-3.1.3-a/src/mpfr.h mpfr-3.1.3-b/src/mpfr.h
+--- mpfr-3.1.3-a/src/mpfr.h 2016-02-15 15:20:16.922677881 +0000
++++ mpfr-3.1.3-b/src/mpfr.h 2016-02-15 15:20:51.302696439 +0000
+@@ -27,7 +27,7 @@
+ #define MPFR_VERSION_MAJOR 3
+ #define MPFR_VERSION_MINOR 1
+ #define MPFR_VERSION_PATCHLEVEL 3
+-#define MPFR_VERSION_STRING "3.1.3-p11"
++#define MPFR_VERSION_STRING "3.1.3-p12"
+
+ /* Macros dealing with MPFR VERSION */
+ #define MPFR_VERSION_NUM(a,b,c) (((a) << 16L) | ((b) << 8) | (c))
+diff -Naurd mpfr-3.1.3-a/src/root.c mpfr-3.1.3-b/src/root.c
+--- mpfr-3.1.3-a/src/root.c 2015-06-19 19:55:10.000000000 +0000
++++ mpfr-3.1.3-b/src/root.c 2016-02-15 15:20:51.282696429 +0000
+@@ -23,13 +23,15 @@
+ #define MPFR_NEED_LONGLONG_H
+ #include "mpfr-impl.h"
+
+- /* The computation of y = x^(1/k) is done as follows:
++ /* The computation of y = x^(1/k) is done as follows, except for large
++ values of k, for which this would be inefficient or yield internal
++ integer overflows:
+
+ Let x = sign * m * 2^(k*e) where m is an integer
+
+ with 2^(k*(n-1)) <= m < 2^(k*n) where n = PREC(y)
+
+- and m = s^k + r where 0 <= r and m < (s+1)^k
++ and m = s^k + t where 0 <= t and m < (s+1)^k
+
+ we want that s has n bits i.e. s >= 2^(n-1), or m >= 2^(k*(n-1))
+ i.e. m must have at least k*(n-1)+1 bits
+@@ -38,11 +40,15 @@
+ x^(1/k) = s * 2^e or (s+1) * 2^e according to the rounding mode.
+ */
+
++static int
++mpfr_root_aux (mpfr_ptr y, mpfr_srcptr x, unsigned long k,
++ mpfr_rnd_t rnd_mode);
++
+ int
+ mpfr_root (mpfr_ptr y, mpfr_srcptr x, unsigned long k, mpfr_rnd_t rnd_mode)
+ {
+ mpz_t m;
+- mpfr_exp_t e, r, sh;
++ mpfr_exp_t e, r, sh, f;
+ mpfr_prec_t n, size_m, tmp;
+ int inexact, negative;
+ MPFR_SAVE_EXPO_DECL (expo);
+@@ -55,50 +61,27 @@
+
+ if (MPFR_UNLIKELY (k <= 1))
+ {
+- if (k < 1) /* k==0 => y=x^(1/0)=x^(+Inf) */
+-#if 0
+- /* For 0 <= x < 1 => +0.
+- For x = 1 => 1.
+- For x > 1, => +Inf.
+- For x < 0 => NaN.
+- */
++ if (k == 0)
+ {
+- if (MPFR_IS_NEG (x) && !MPFR_IS_ZERO (x))
+- {
+- MPFR_SET_NAN (y);
+- MPFR_RET_NAN;
+- }
+- inexact = mpfr_cmp (x, __gmpfr_one);
+- if (inexact == 0)
+- return mpfr_set_ui (y, 1, rnd_mode); /* 1 may be Out of Range */
+- else if (inexact < 0)
+- return mpfr_set_ui (y, 0, rnd_mode); /* 0+ */
+- else
+- {
+- mpfr_set_inf (y, 1);
+- return 0;
+- }
++ MPFR_SET_NAN (y);
++ MPFR_RET_NAN;
+ }
+-#endif
+- {
+- MPFR_SET_NAN (y);
+- MPFR_RET_NAN;
+- }
+- else /* y =x^(1/1)=x */
++ else /* y = x^(1/1) = x */
+ return mpfr_set (y, x, rnd_mode);
+ }
+
+ /* Singular values */
+- else if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x)))
++ if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x)))
+ {
+ if (MPFR_IS_NAN (x))
+ {
+ MPFR_SET_NAN (y); /* NaN^(1/k) = NaN */
+ MPFR_RET_NAN;
+ }
+- else if (MPFR_IS_INF (x)) /* +Inf^(1/k) = +Inf
+- -Inf^(1/k) = -Inf if k odd
+- -Inf^(1/k) = NaN if k even */
++
++ if (MPFR_IS_INF (x)) /* +Inf^(1/k) = +Inf
++ -Inf^(1/k) = -Inf if k odd
++ -Inf^(1/k) = NaN if k even */
+ {
+ if (MPFR_IS_NEG(x) && (k % 2 == 0))
+ {
+@@ -106,27 +89,31 @@
+ MPFR_RET_NAN;
+ }
+ MPFR_SET_INF (y);
+- MPFR_SET_SAME_SIGN (y, x);
+- MPFR_RET (0);
+ }
+ else /* x is necessarily 0: (+0)^(1/k) = +0
+ (-0)^(1/k) = -0 */
+ {
+ MPFR_ASSERTD (MPFR_IS_ZERO (x));
+ MPFR_SET_ZERO (y);
+- MPFR_SET_SAME_SIGN (y, x);
+- MPFR_RET (0);
+ }
++ MPFR_SET_SAME_SIGN (y, x);
++ MPFR_RET (0);
+ }
+
+ /* Returns NAN for x < 0 and k even */
+- else if (MPFR_IS_NEG (x) && (k % 2 == 0))
++ if (MPFR_UNLIKELY (MPFR_IS_NEG (x) && (k % 2 == 0)))
+ {
+ MPFR_SET_NAN (y);
+ MPFR_RET_NAN;
+ }
+
+ /* General case */
++
++ /* For large k, use exp(log(x)/k). The threshold of 100 seems to be quite
++ good when the precision goes to infinity. */
++ if (k > 100)
++ return mpfr_root_aux (y, x, k, rnd_mode);
++
+ MPFR_SAVE_EXPO_MARK (expo);
+ mpz_init (m);
+
+@@ -135,31 +122,24 @@
+ mpz_neg (m, m);
+ r = e % (mpfr_exp_t) k;
+ if (r < 0)
+- r += k; /* now r = e (mod k) with 0 <= e < r */
++ r += k; /* now r = e (mod k) with 0 <= r < k */
++ MPFR_ASSERTD (0 <= r && r < k);
+ /* x = (m*2^r) * 2^(e-r) where e-r is a multiple of k */
+
+ MPFR_MPZ_SIZEINBASE2 (size_m, m);
+ /* for rounding to nearest, we want the round bit to be in the root */
+ n = MPFR_PREC (y) + (rnd_mode == MPFR_RNDN);
+
+- /* we now multiply m by 2^(r+k*sh) so that root(m,k) will give
+- exactly n bits: we want k*(n-1)+1 <= size_m + k*sh + r <= k*n
+- i.e. sh = floor ((kn-size_m-r)/k) */
+- if ((mpfr_exp_t) size_m + r > k * (mpfr_exp_t) n)
+- sh = 0; /* we already have too many bits */
++ /* we now multiply m by 2^sh so that root(m,k) will give
++ exactly n bits: we want k*(n-1)+1 <= size_m + sh <= k*n
++ i.e. sh = k*f + r with f = max(floor((k*n-size_m-r)/k),0) */
++ if ((mpfr_exp_t) size_m + r >= k * (mpfr_exp_t) n)
++ f = 0; /* we already have too many bits */
+ else
+- sh = (k * (mpfr_exp_t) n - (mpfr_exp_t) size_m - r) / k;
+- sh = k * sh + r;
+- if (sh >= 0)
+- {
+- mpz_mul_2exp (m, m, sh);
+- e = e - sh;
+- }
+- else if (r > 0)
+- {
+- mpz_mul_2exp (m, m, r);
+- e = e - r;
+- }
++ f = (k * (mpfr_exp_t) n - (mpfr_exp_t) size_m - r) / k;
++ sh = k * f + r;
++ mpz_mul_2exp (m, m, sh);
++ e = e - sh;
+
+ /* invariant: x = m*2^e, with e divisible by k */
+
+@@ -203,3 +183,97 @@
+ MPFR_SAVE_EXPO_FREE (expo);
+ return mpfr_check_range (y, inexact, rnd_mode);
+ }
++
++/* Compute y <- x^(1/k) using exp(log(x)/k).
++ Assume all special cases have been eliminated before.
++ In the extended exponent range, overflows/underflows are not possible.
++ Assume x > 0, or x < 0 and k odd.
++*/
++static int
++mpfr_root_aux (mpfr_ptr y, mpfr_srcptr x, unsigned long k, mpfr_rnd_t rnd_mode)
++{
++ int inexact, exact_root = 0;
++ mpfr_prec_t w; /* working precision */
++ mpfr_t absx, t;
++ MPFR_GROUP_DECL(group);
++ MPFR_TMP_DECL(marker);
++ MPFR_ZIV_DECL(loop);
++ MPFR_SAVE_EXPO_DECL (expo);
++
++ MPFR_TMP_INIT_ABS (absx, x);
++
++ MPFR_TMP_MARK(marker);
++ w = MPFR_PREC(y) + 10;
++ /* Take some guard bits to prepare for the 'expt' lost bits below.
++ If |x| < 2^k, then log|x| < k, thus taking log2(k) bits should be fine. */
++ if (MPFR_GET_EXP(x) > 0)
++ w += MPFR_INT_CEIL_LOG2 (MPFR_GET_EXP(x));
++ MPFR_GROUP_INIT_1(group, w, t);
++ MPFR_SAVE_EXPO_MARK (expo);
++ MPFR_ZIV_INIT (loop, w);
++ for (;;)
++ {
++ mpfr_exp_t expt;
++ unsigned int err;
++
++ mpfr_log (t, absx, MPFR_RNDN);
++ /* t = log|x| * (1 + theta) with |theta| <= 2^(-w) */
++ mpfr_div_ui (t, t, k, MPFR_RNDN);
++ expt = MPFR_GET_EXP (t);
++ /* t = log|x|/k * (1 + theta) + eps with |theta| <= 2^(-w)
++ and |eps| <= 1/2 ulp(t), thus the total error is bounded
++ by 1.5 * 2^(expt - w) */
++ mpfr_exp (t, t, MPFR_RNDN);
++ /* t = |x|^(1/k) * exp(tau) * (1 + theta1) with
++ |tau| <= 1.5 * 2^(expt - w) and |theta1| <= 2^(-w).
++ For |tau| <= 0.5 we have |exp(tau)-1| < 4/3*tau, thus
++ for w >= expt + 2 we have:
++ t = |x|^(1/k) * (1 + 2^(expt+2)*theta2) * (1 + theta1) with
++ |theta1|, |theta2| <= 2^(-w).
++ If expt+2 > 0, as long as w >= 1, we have:
++ t = |x|^(1/k) * (1 + 2^(expt+3)*theta3) with |theta3| < 2^(-w).
++ For expt+2 = 0, we have:
++ t = |x|^(1/k) * (1 + 2^2*theta3) with |theta3| < 2^(-w).
++ Finally for expt+2 < 0 we have:
++ t = |x|^(1/k) * (1 + 2*theta3) with |theta3| < 2^(-w).
++ */
++ err = (expt + 2 > 0) ? expt + 3
++ : (expt + 2 == 0) ? 2 : 1;
++ /* now t = |x|^(1/k) * (1 + 2^(err-w)) thus the error is at most
++ 2^(EXP(t) - w + err) */
++ if (MPFR_LIKELY (MPFR_CAN_ROUND(t, w - err, MPFR_PREC(y), rnd_mode)))
++ break;
++
++ /* If we fail to round correctly, check for an exact result or a
++ midpoint result with MPFR_RNDN (regarded as hard-to-round in
++ all precisions in order to determine the ternary value). */
++ {
++ mpfr_t z, zk;
++
++ mpfr_init2 (z, MPFR_PREC(y) + (rnd_mode == MPFR_RNDN));
++ mpfr_init2 (zk, MPFR_PREC(x));
++ mpfr_set (z, t, MPFR_RNDN);
++ inexact = mpfr_pow_ui (zk, z, k, MPFR_RNDN);
++ exact_root = !inexact && mpfr_equal_p (zk, absx);
++ if (exact_root) /* z is the exact root, thus round z directly */
++ inexact = mpfr_set4 (y, z, rnd_mode, MPFR_SIGN (x));
++ mpfr_clear (zk);
++ mpfr_clear (z);
++ if (exact_root)
++ break;
++ }
++
++ MPFR_ZIV_NEXT (loop, w);
++ MPFR_GROUP_REPREC_1(group, w, t);
++ }
++ MPFR_ZIV_FREE (loop);
++
++ if (!exact_root)
++ inexact = mpfr_set4 (y, t, rnd_mode, MPFR_SIGN (x));
++
++ MPFR_GROUP_CLEAR(group);
++ MPFR_TMP_FREE(marker);
++ MPFR_SAVE_EXPO_FREE (expo);
++
++ return mpfr_check_range (y, inexact, rnd_mode);
++}
+diff -Naurd mpfr-3.1.3-a/src/version.c mpfr-3.1.3-b/src/version.c
+--- mpfr-3.1.3-a/src/version.c 2016-02-15 15:20:16.922677881 +0000
++++ mpfr-3.1.3-b/src/version.c 2016-02-15 15:20:51.306696441 +0000
+@@ -25,5 +25,5 @@
+ const char *
+ mpfr_get_version (void)
+ {
+- return "3.1.3-p11";
++ return "3.1.3-p12";
+ }
+diff -Naurd mpfr-3.1.3-a/tests/troot.c mpfr-3.1.3-b/tests/troot.c
+--- mpfr-3.1.3-a/tests/troot.c 2015-06-19 19:55:10.000000000 +0000
++++ mpfr-3.1.3-b/tests/troot.c 2016-02-15 15:20:51.282696429 +0000
+@@ -25,6 +25,19 @@
+
+ #include "mpfr-test.h"
+
++#define DEFN(N) \
++ static int root##N (mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t rnd) \
++ { return mpfr_root (y, x, N, rnd); } \
++ static int pow##N (mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t rnd) \
++ { return mpfr_pow_ui (y, x, N, rnd); }
++
++DEFN(2)
++DEFN(3)
++DEFN(4)
++DEFN(5)
++DEFN(17)
++DEFN(120)
++
+ static void
+ special (void)
+ {
+@@ -52,7 +65,7 @@
+ exit (1);
+ }
+
+- /* root(-Inf, 17) = -Inf */
++ /* root(-Inf, 17) = -Inf */
+ mpfr_set_inf (x, -1);
+ mpfr_root (y, x, 17, MPFR_RNDN);
+ if (!mpfr_inf_p (y) || mpfr_sgn (y) > 0)
+@@ -69,7 +82,7 @@
+ exit (1);
+ }
+
+- /* root(+/-0) = +/-0 */
++ /* root(+/-0, k) = +/-0 for k > 0 */
+ mpfr_set_ui (x, 0, MPFR_RNDN);
+ mpfr_root (y, x, 17, MPFR_RNDN);
+ if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
+@@ -190,64 +203,39 @@
+ i = mpfr_root (y, x, 1, MPFR_RNDN);
+ if (mpfr_cmp_ui (x, 17) || i != 0)
+ {
+- printf ("Error in root (17^(1/1))\n");
++ printf ("Error in root for 17^(1/1)\n");
+ exit (1);
+ }
+
+-#if 0
+- /* Check for k == 0:
+- For 0 <= x < 1 => +0.
+- For x = 1 => 1.
+- For x > 1, => +Inf.
+- For x < 0 => NaN. */
+- i = mpfr_root (y, x, 0, MPFR_RNDN);
+- if (!MPFR_IS_INF (y) || !MPFR_IS_POS (y) || i != 0)
+- {
+- printf ("Error in root 17^(1/0)\n");
+- exit (1);
+- }
+- mpfr_set_ui (x, 1, MPFR_RNDN);
+- i = mpfr_root (y, x, 0, MPFR_RNDN);
+- if (mpfr_cmp_ui (y, 1) || i != 0)
+- {
+- printf ("Error in root 1^(1/0)\n");
+- exit (1);
+- }
+ mpfr_set_ui (x, 0, MPFR_RNDN);
+ i = mpfr_root (y, x, 0, MPFR_RNDN);
+- if (!MPFR_IS_ZERO (y) || !MPFR_IS_POS (y) || i != 0)
+- {
+- printf ("Error in root 0+^(1/0)\n");
+- exit (1);
+- }
+- MPFR_CHANGE_SIGN (x);
+- i = mpfr_root (y, x, 0, MPFR_RNDN);
+- if (!MPFR_IS_ZERO (y) || !MPFR_IS_POS (y) || i != 0)
++ if (!MPFR_IS_NAN (y) || i != 0)
+ {
+- printf ("Error in root 0-^(1/0)\n");
++ printf ("Error in root for (+0)^(1/0)\n");
+ exit (1);
+ }
+- mpfr_set_ui_2exp (x, 17, -5, MPFR_RNDD);
++ mpfr_neg (x, x, MPFR_RNDN);
+ i = mpfr_root (y, x, 0, MPFR_RNDN);
+- if (!MPFR_IS_ZERO (y) || !MPFR_IS_POS (y) || i != 0)
++ if (!MPFR_IS_NAN (y) || i != 0)
+ {
+- printf ("Error in root (17/2^5)^(1/0)\n");
++ printf ("Error in root for (-0)^(1/0)\n");
+ exit (1);
+ }
+-#endif
+- mpfr_set_ui (x, 0, MPFR_RNDN);
++
++ mpfr_set_ui (x, 1, MPFR_RNDN);
+ i = mpfr_root (y, x, 0, MPFR_RNDN);
+ if (!MPFR_IS_NAN (y) || i != 0)
+ {
+- printf ("Error in root 0+^(1/0)\n");
++ printf ("Error in root for 1^(1/0)\n");
+ exit (1);
+ }
++
+ /* Check for k==2 */
+ mpfr_set_si (x, -17, MPFR_RNDD);
+ i = mpfr_root (y, x, 2, MPFR_RNDN);
+ if (!MPFR_IS_NAN (y) || i != 0)
+ {
+- printf ("Error in root (-17)^(1/2)\n");
++ printf ("Error in root for (-17)^(1/2)\n");
+ exit (1);
+ }
+
+@@ -255,11 +243,168 @@
+ mpfr_clear (y);
+ }
+
++/* https://bugs.debian.org/cgi-bin/bugreport.cgi?bug=812779
++ * https://bugzilla.gnome.org/show_bug.cgi?id=756960
++ * is a GNOME Calculator bug (mpfr_root applied on a negative integer,
++ * which is converted to an unsigned integer), but the strange result
++ * is also due to a bug in MPFR.
++ */
++static void
++bigint (void)
++{
++ mpfr_t x, y;
++
++ mpfr_inits2 (64, x, y, (mpfr_ptr) 0);
++
++ mpfr_set_ui (x, 10, MPFR_RNDN);
++ if (sizeof (unsigned long) * CHAR_BIT == 64)
++ {
++ mpfr_root (x, x, ULONG_MAX, MPFR_RNDN);
++ mpfr_set_ui_2exp (y, 1, -63, MPFR_RNDN);
++ mpfr_add_ui (y, y, 1, MPFR_RNDN);
++ if (! mpfr_equal_p (x, y))
++ {
++ printf ("Error in bigint for ULONG_MAX\n");
++ printf ("Expected ");
++ mpfr_dump (y);
++ printf ("Got ");
++ mpfr_dump (x);
++ exit (1);
++ }
++ }
++
++ mpfr_set_ui (x, 10, MPFR_RNDN);
++ mpfr_root (x, x, 1234567890, MPFR_RNDN);
++ mpfr_set_str_binary (y,
++ "1.00000000000000000000000000001000000000101011000101000110010001");
++ if (! mpfr_equal_p (x, y))
++ {
++ printf ("Error in bigint for 1234567890\n");
++ printf ("Expected ");
++ mpfr_dump (y);
++ printf ("Got ");
++ mpfr_dump (x);
++ exit (1);
++ }
++
++ mpfr_clears (x, y, (mpfr_ptr) 0);
++}
++
+ #define TEST_FUNCTION mpfr_root
+ #define INTEGER_TYPE unsigned long
+-#define INT_RAND_FUNCTION() (INTEGER_TYPE) (randlimb () % 3 +2)
++#define INT_RAND_FUNCTION() \
++ (INTEGER_TYPE) (randlimb () & 1 ? randlimb () : randlimb () % 3 + 2)
+ #include "tgeneric_ui.c"
+
++static void
++exact_powers (unsigned long bmax, unsigned long kmax)
++{
++ long b, k;
++ mpz_t z;
++ mpfr_t x, y;
++ int inex, neg;
++
++ mpz_init (z);
++ for (b = 2; b <= bmax; b++)
++ for (k = 1; k <= kmax; k++)
++ {
++ mpz_ui_pow_ui (z, b, k);
++ mpfr_init2 (x, mpz_sizeinbase (z, 2));
++ mpfr_set_ui (x, b, MPFR_RNDN);
++ mpfr_pow_ui (x, x, k, MPFR_RNDN);
++ mpz_set_ui (z, b);
++ mpfr_init2 (y, mpz_sizeinbase (z, 2));
++ for (neg = 0; neg <= 1; neg++)
++ {
++ inex = mpfr_root (y, x, k, MPFR_RNDN);
++ if (inex != 0)
++ {
++ printf ("Error in exact_powers, b=%ld, k=%ld\n", b, k);
++ printf ("Expected inex=0, got %d\n", inex);
++ exit (1);
++ }
++ if (neg && (k & 1) == 0)
++ {
++ if (!MPFR_IS_NAN (y))
++ {
++ printf ("Error in exact_powers, b=%ld, k=%ld\n", b, k);
++ printf ("Expected y=NaN\n");
++ printf ("Got ");
++ mpfr_out_str (stdout, 10, 0, y, MPFR_RNDN);
++ printf ("\n");
++ exit (1);
++ }
++ }
++ else if (MPFR_IS_NAN (y) || mpfr_cmp_si (y, b) != 0)
++ {
++ printf ("Error in exact_powers, b=%ld, k=%ld\n", b, k);
++ printf ("Expected y=%ld\n", b);
++ printf ("Got ");
++ mpfr_out_str (stdout, 10, 0, y, MPFR_RNDN);
++ printf ("\n");
++ exit (1);
++ }
++ mpfr_neg (x, x, MPFR_RNDN);
++ b = -b;
++ }
++ mpfr_clear (x);
++ mpfr_clear (y);
++ }
++ mpz_clear (z);
++}
++
++/* Compare root(x,2^h) with pow(x,2^(-h)). */
++static void
++cmp_pow (void)
++{
++ mpfr_t x, y1, y2;
++ int h;
++
++ mpfr_inits2 (128, x, y1, y2, (mpfr_ptr) 0);
++
++ for (h = 1; h < sizeof (unsigned long) * CHAR_BIT; h++)
++ {
++ unsigned long k = (unsigned long) 1 << h;
++ int i;
++
++ for (i = 0; i < 10; i++)
++ {
++ mpfr_rnd_t rnd;
++ unsigned int flags1, flags2;
++ int inex1, inex2;
++
++ tests_default_random (x, 0, __gmpfr_emin, __gmpfr_emax, 1);
++ rnd = RND_RAND ();
++ mpfr_set_ui_2exp (y1, 1, -h, MPFR_RNDN);
++ mpfr_clear_flags ();
++ inex1 = mpfr_pow (y1, x, y1, rnd);
++ flags1 = __gmpfr_flags;
++ mpfr_clear_flags ();
++ inex2 = mpfr_root (y2, x, k, rnd);
++ flags2 = __gmpfr_flags;
++ if (!(mpfr_equal_p (y1, y2) && SAME_SIGN (inex1, inex2) &&
++ flags1 == flags2))
++ {
++ printf ("Error in cmp_pow on h=%d, i=%d, rnd=%s\n",
++ h, i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
++ printf ("x = ");
++ mpfr_dump (x);
++ printf ("pow = ");
++ mpfr_dump (y1);
++ printf ("with inex = %d, flags =", inex1);
++ flags_out (flags1);
++ printf ("root = ");
++ mpfr_dump (y2);
++ printf ("with inex = %d, flags =", inex2);
++ flags_out (flags2);
++ exit (1);
++ }
++ }
++ }
++
++ mpfr_clears (x, y1, y2, (mpfr_ptr) 0);
++}
++
+ int
+ main (void)
+ {
+@@ -270,7 +415,10 @@
+
+ tests_start_mpfr ();
+
++ exact_powers (3, 1000);
+ special ();
++ bigint ();
++ cmp_pow ();
+
+ mpfr_init (x);
+
+@@ -329,6 +477,13 @@
+
+ test_generic_ui (2, 200, 30);
+
++ bad_cases (root2, pow2, "mpfr_root[2]", 8, -256, 255, 4, 128, 800, 40);
++ bad_cases (root3, pow3, "mpfr_root[3]", 8, -256, 255, 4, 128, 800, 40);
++ bad_cases (root4, pow4, "mpfr_root[4]", 8, -256, 255, 4, 128, 800, 40);
++ bad_cases (root5, pow5, "mpfr_root[5]", 8, -256, 255, 4, 128, 800, 40);
++ bad_cases (root17, pow17, "mpfr_root[17]", 8, -256, 255, 4, 128, 800, 40);
++ bad_cases (root120, pow120, "mpfr_root[120]", 8, -256, 255, 4, 128, 800, 40);
++
+ tests_end_mpfr ();
+ return 0;
+ }