--- /dev/null
+/* Round towards zero.
+ Copyright (C) 2007 Free Software Foundation, Inc.
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2, or (at your option)
+ any later version.
+
+ This program 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 General Public License for more details.
+
+ You should have received a copy of the GNU General Public License along
+ with this program; if not, write to the Free Software Foundation,
+ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. */
+
+/* Written by Bruno Haible <bruno@clisp.org>, 2007. */
+
+#include <config.h>
+
+/* Specification. */
+#include <math.h>
+
+#include <float.h>
+
+/* 2^(DBL_MANT_DIG-1). */
+static const double TWO_MANT_DIG =
+ /* Assume DBL_MANT_DIG <= 4 * 31.
+ Use the identity
+ n = floor(n/4) + floor((n+1)/4) + floor((n+2)/4) + floor((n+3)/4). */
+ (double) (1U << ((DBL_MANT_DIG - 1) / 4))
+ * (double) (1U << ((DBL_MANT_DIG - 1 + 1) / 4))
+ * (double) (1U << ((DBL_MANT_DIG - 1 + 2) / 4))
+ * (double) (1U << ((DBL_MANT_DIG - 1 + 3) / 4));
+
+double
+trunc (double x)
+{
+ /* The use of 'volatile' guarantees that excess precision bits are dropped
+ at each addition step and before the following comparison at the caller's
+ site. It is necessary on x86 systems where double-floats are not IEEE
+ compliant by default, to avoid that the results become platform and compiler
+ option dependent. 'volatile' is a portable alternative to gcc's
+ -ffloat-store option. */
+ volatile double y = x;
+ volatile double z = y;
+
+ if (z > 0)
+ {
+ /* Round to the next integer (nearest or up or down, doesn't matter). */
+ z += TWO_MANT_DIG;
+ z -= TWO_MANT_DIG;
+ /* Enforce rounding down. */
+ if (z > y)
+ z -= 1.0;
+ }
+ else if (z < 0)
+ {
+ /* Round to the next integer (nearest or up or down, doesn't matter). */
+ z -= TWO_MANT_DIG;
+ z += TWO_MANT_DIG;
+ /* Enforce rounding up. */
+ if (z < y)
+ z += 1.0;
+ }
+ return z;
+}