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+/* Pythagorean addition using doubles
+ Copyright (C) 2011 Free Software Foundation, Inc.
+ This file is part of the GNU C Library
+ Contributed by Adhemerval Zanella <azanella@br.ibm.com>, 2011
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C 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
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include "math.h"
+#include "math_private.h"
+
+static const double two60 = 1.152921504606847e+18;
+static const double two500 = 3.2733906078961419e+150;
+static const double two600 = 4.149515568880993e+180;
+static const double two1022 = 4.49423283715579e+307;
+static const double twoM500 = 3.054936363499605e-151;
+static const double twoM600 = 4.616489308892868e-128;
+static const double pdnum = 2.225073858507201e-308;
+
+/* __ieee754_hypot(x,y)
+ *
+ * This a FP only version without any FP->INT conversion.
+ * It is similar to default C version, making appropriates
+ * overflow and underflows checks as well scaling when it
+ * is needed.
+ */
+
+#ifdef _ARCH_PWR7
+/* POWER7 isinf and isnan optimization are fast. */
+# define TEST_INF_NAN(x, y) \
+ if (isinf(x) || isinf(y)) \
+ return INFINITY; \
+ if (isnan(x) || isnan(y)) \
+ return NAN;
+# else
+/* For POWER6 and below isinf/isnan triggers LHS and PLT calls are
+ * costly (especially for POWER6). */
+# define GET_TW0_HIGH_WORD(d1,d2,i1,i2) \
+ do { \
+ ieee_double_shape_type gh_u1; \
+ ieee_double_shape_type gh_u2; \
+ gh_u1.value = (d1); \
+ gh_u2.value = (d2); \
+ (i1) = gh_u1.parts.msw; \
+ (i2) = gh_u2.parts.msw; \
+ } while (0)
+
+# define TEST_INF_NAN(x, y) \
+ do { \
+ int32_t hx, hy; \
+ GET_TW0_HIGH_WORD(x, y, hx, hy); \
+ if (hy > hx) { \
+ uint32_t ht = hx; hx = hy; hy = ht; \
+ } \
+ if (hx >= 0x7ff00000) { \
+ if (hx == 0x7ff00000 || hy == 0x7ff00000) \
+ return INFINITY; \
+ return NAN; \
+ } \
+ } while (0)
+
+#endif
+
+
+double
+__ieee754_hypot (double x, double y)
+{
+ x = fabs (x);
+ y = fabs (y);
+
+ TEST_INF_NAN (x, y);
+
+ if (y > x)
+ {
+ double t = x;
+ x = y;
+ y = t;
+ }
+ if (y == 0.0 || (x / y) > two60)
+ {
+ return x + y;
+ }
+ if (x > two500)
+ {
+ x *= twoM600;
+ y *= twoM600;
+ return sqrt (x * x + y * y) / twoM600;
+ }
+ if (y < twoM500)
+ {
+ if (y <= pdnum)
+ {
+ x *= two1022;
+ y *= two1022;
+ return sqrt (x * x + y * y) / two1022;
+ }
+ else
+ {
+ x *= two600;
+ y *= two600;
+ return sqrt (x * x + y * y) / two600;
+ }
+ }
+ return sqrt (x * x + y * y);
+}