summaryrefslogtreecommitdiff
path: root/patches/mpfr/3.1.3/220-root.patch
diff options
context:
space:
mode:
Diffstat (limited to 'patches/mpfr/3.1.3/220-root.patch')
-rw-r--r--patches/mpfr/3.1.3/220-root.patch621
1 files changed, 0 insertions, 621 deletions
diff --git a/patches/mpfr/3.1.3/220-root.patch b/patches/mpfr/3.1.3/220-root.patch
deleted file mode 100644
index 9cd62a7..0000000
--- a/patches/mpfr/3.1.3/220-root.patch
+++ /dev/null
@@ -1,621 +0,0 @@
-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;
- }