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+/* mpfr_scale2 -- multiply a double float by 2^exp
+
+Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc.
+Contributed by the AriC and Caramel 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 3 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.LESSER. If not, see
+http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
+51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
+
+#include <float.h> /* for DBL_EPSILON */
+#include "mpfr-impl.h"
+
+/* Note: we could use the ldexp function, but since we want not to depend on
+ math.h, we write our own implementation. */
+
+/* multiplies 1/2 <= d <= 1 by 2^exp */
+double
+mpfr_scale2 (double d, int exp)
+{
+#if _GMP_IEEE_FLOATS
+ {
+ union ieee_double_extract x;
+
+ if (MPFR_UNLIKELY (d == 1.0))
+ {
+ d = 0.5;
+ exp ++;
+ }
+
+ /* now 1/2 <= d < 1 */
+
+ /* infinities and zeroes have already been checked */
+ MPFR_ASSERTD (-1073 <= exp && exp <= 1025);
+
+ x.d = d;
+ if (MPFR_UNLIKELY (exp < -1021)) /* subnormal case */
+ {
+ x.s.exp += exp + 52;
+ x.d *= DBL_EPSILON;
+ }
+ else /* normalized case */
+ {
+ x.s.exp += exp;
+ }
+ return x.d;
+ }
+#else /* _GMP_IEEE_FLOATS */
+ {
+ double factor;
+
+ /* An overflow may occurs (example: 0.5*2^1024) */
+ if (d < 1.0)
+ {
+ d += d;
+ exp--;
+ }
+ /* Now 1.0 <= d < 2.0 */
+
+ if (exp < 0)
+ {
+ factor = 0.5;
+ exp = -exp;
+ }
+ else
+ {
+ factor = 2.0;
+ }
+ while (exp != 0)
+ {
+ if ((exp & 1) != 0)
+ d *= factor;
+ exp >>= 1;
+ factor *= factor;
+ }
+ return d;
+ }
+#endif
+}