--- /dev/null
+/* mpfr_ui_pow_ui -- compute the power beetween two machine integer
+
+Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
+Contributed by the Arenaire and Cacao projects, INRIA.
+
+This file is part of the GNU MPFR Library.
+
+The GNU MPFR Library is free software; you can redistribute it and/or modify
+it under the terms of the GNU Lesser General Public License as published by
+the Free Software Foundation; either version 2.1 of the License, or (at your
+option) any later version.
+
+The GNU MPFR Library is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
+License for more details.
+
+You should have received a copy of the GNU Lesser General Public License
+along with the GNU MPFR Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
+MA 02110-1301, USA. */
+
+#include "mpfr-impl.h"
+
+int
+mpfr_ui_pow_ui (mpfr_ptr x, unsigned long int y, unsigned long int n,
+ mp_rnd_t rnd)
+{
+ mp_exp_t err;
+ unsigned long m;
+ mpfr_t res;
+ mp_prec_t prec;
+ int size_n;
+ int inexact;
+ MPFR_ZIV_DECL (loop);
+ MPFR_SAVE_EXPO_DECL (expo);
+
+ if (MPFR_UNLIKELY (n <= 1))
+ {
+ if (n == 1)
+ return mpfr_set_ui (x, y, rnd); /* y^1 = y */
+ else
+ return mpfr_set_ui (x, 1, rnd); /* y^0 = 1 for any y */
+ }
+ else if (MPFR_UNLIKELY (y <= 1))
+ {
+ if (y == 1)
+ return mpfr_set_ui (x, 1, rnd); /* 1^n = 1 for any n > 0 */
+ else
+ return mpfr_set_ui (x, 0, rnd); /* 0^n = 0 for any n > 0 */
+ }
+
+ for (size_n = 0, m = n; m; size_n++, m >>= 1);
+
+ MPFR_SAVE_EXPO_MARK (expo);
+ prec = MPFR_PREC (x) + 3 + size_n;
+ mpfr_init2 (res, prec);
+
+ MPFR_ZIV_INIT (loop, prec);
+ for (;;)
+ {
+ int i = size_n;
+
+ inexact = mpfr_set_ui (res, y, GMP_RNDU);
+ err = 1;
+ /* now 2^(i-1) <= n < 2^i: i=1+floor(log2(n)) */
+ for (i -= 2; i >= 0; i--)
+ {
+ inexact |= mpfr_mul (res, res, res, GMP_RNDU);
+ err++;
+ if (n & (1UL << i))
+ inexact |= mpfr_mul_ui (res, res, y, GMP_RNDU);
+ }
+ /* since the loop is executed floor(log2(n)) times,
+ we have err = 1+floor(log2(n)).
+ Since prec >= MPFR_PREC(x) + 4 + floor(log2(n)), prec > err */
+ err = prec - err;
+
+ if (MPFR_LIKELY (inexact == 0
+ || MPFR_CAN_ROUND (res, err, MPFR_PREC (x), rnd)))
+ break;
+
+ /* Actualisation of the precision */
+ MPFR_ZIV_NEXT (loop, prec);
+ mpfr_set_prec (res, prec);
+ }
+ MPFR_ZIV_FREE (loop);
+
+ inexact = mpfr_set (x, res, rnd);
+
+ mpfr_clear (res);
+
+ MPFR_SAVE_EXPO_FREE (expo);
+ return mpfr_check_range (x, inexact, rnd);
+}