539 lines
18 KiB
Diff
539 lines
18 KiB
Diff
Upstream-Status: Pending
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2011-03-22 Joseph Myers <joseph@codesourcery.com>
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Merge from SG++ 2.11:
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2010-10-05 Nathan Froyd <froydnj@codesourcery.com>
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Issue #9382
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* sysdeps/powerpc/powerpc32/603e/: New directory.
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* sysdeps/unix/sysv/linux/powerpc/powerpc32/e500mc/: New directory.
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* sysdeps/unix/sysv/linux/powerpc/powerpc32/603e/: New directory.
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* sysdeps/unix/sysv/linux/powerpc/powerpc32/7400/: New directory.
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* sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c: Update.
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* sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c: Update.
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* sysdeps/powerpc/powerpc64/e5500/fpu/Implies: New file.
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Index: libc/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c
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===================================================================
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--- /dev/null
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+++ libc/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c
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@@ -0,0 +1,134 @@
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+/* Double-precision floating point square root.
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+ Copyright (C) 2010 Free Software Foundation, Inc.
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+ This file is part of the GNU C Library.
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+
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+ The GNU C Library is free software; you can redistribute it and/or
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+ modify it under the terms of the GNU Lesser General Public
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+ License as published by the Free Software Foundation; either
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+ version 2.1 of the License, or (at your option) any later version.
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+
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+ The GNU C Library is distributed in the hope that it will be useful,
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+ but WITHOUT ANY WARRANTY; without even the implied warranty of
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+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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+ Lesser General Public License for more details.
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+
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+ You should have received a copy of the GNU Lesser General Public
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+ License along with the GNU C Library; if not, write to the Free
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+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
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+ 02111-1307 USA. */
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+
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+#include <math.h>
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+#include <math_private.h>
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+#include <fenv_libc.h>
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+#include <inttypes.h>
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+
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+#include <sysdep.h>
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+#include <ldsodefs.h>
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+
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+static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 };
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+static const ieee_float_shape_type a_inf = {.word = 0x7f800000 };
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+static const float two108 = 3.245185536584267269e+32;
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+static const float twom54 = 5.551115123125782702e-17;
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+static const float half = 0.5;
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+
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+/* The method is based on the descriptions in:
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+
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+ _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5;
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+ _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9
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+
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+ We find the actual square root and half of its reciprocal
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+ simultaneously. */
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+
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+#ifdef __STDC__
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+double
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+__ieee754_sqrt (double b)
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+#else
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+double
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+__ieee754_sqrt (b)
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+ double b;
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+#endif
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+{
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+ if (__builtin_expect (b > 0, 1))
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+ {
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+ double y, g, h, d, r;
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+ ieee_double_shape_type u;
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+
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+ if (__builtin_expect (b != a_inf.value, 1))
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+ {
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+ fenv_t fe;
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+
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+ fe = fegetenv_register ();
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+
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+ u.value = b;
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+
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+ relax_fenv_state ();
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+
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+ __asm__ ("frsqrte %[estimate], %[x]\n"
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+ : [estimate] "=f" (y) : [x] "f" (b));
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+
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+ /* Following Muller et al, page 168, equation 5.20.
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+
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+ h goes to 1/(2*sqrt(b))
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+ g goes to sqrt(b).
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+
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+ We need three iterations to get within 1ulp. */
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+
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+ /* Indicate that these can be performed prior to the branch. GCC
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+ insists on sinking them below the branch, however; it seems like
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+ they'd be better before the branch so that we can cover any latency
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+ from storing the argument and loading its high word. Oh well. */
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+
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+ g = b * y;
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+ h = 0.5 * y;
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+
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+ /* Handle small numbers by scaling. */
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+ if (__builtin_expect ((u.parts.msw & 0x7ff00000) <= 0x02000000, 0))
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+ return __ieee754_sqrt (b * two108) * twom54;
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+
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+#define FMADD(a_, c_, b_) \
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+ ({ double __r; \
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+ __asm__ ("fmadd %[r], %[a], %[c], %[b]\n" \
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+ : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \
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+ __r;})
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+#define FNMSUB(a_, c_, b_) \
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+ ({ double __r; \
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+ __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \
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+ : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \
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+ __r;})
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+
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+ r = FNMSUB (g, h, half);
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+ g = FMADD (g, r, g);
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+ h = FMADD (h, r, h);
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+
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+ r = FNMSUB (g, h, half);
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+ g = FMADD (g, r, g);
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+ h = FMADD (h, r, h);
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+
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+ r = FNMSUB (g, h, half);
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+ g = FMADD (g, r, g);
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+ h = FMADD (h, r, h);
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+
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+ /* g is now +/- 1ulp, or exactly equal to, the square root of b. */
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+
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+ /* Final refinement. */
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+ d = FNMSUB (g, g, b);
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+
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+ fesetenv_register (fe);
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+ return FMADD (d, h, g);
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+ }
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+ }
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+ else if (b < 0)
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+ {
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+ /* For some reason, some PowerPC32 processors don't implement
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+ FE_INVALID_SQRT. */
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+#ifdef FE_INVALID_SQRT
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+ feraiseexcept (FE_INVALID_SQRT);
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+
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+ fenv_union_t u = { .fenv = fegetenv_register () };
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+ if ((u.l[1] & FE_INVALID) == 0)
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+#endif
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+ feraiseexcept (FE_INVALID);
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+ b = a_nan.value;
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+ }
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+ return f_wash (b);
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+}
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Index: libc/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrtf.c
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===================================================================
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--- /dev/null
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+++ libc/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrtf.c
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@@ -0,0 +1,101 @@
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+/* Single-precision floating point square root.
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+ Copyright (C) 2010 Free Software Foundation, Inc.
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+ This file is part of the GNU C Library.
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+
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+ The GNU C Library is free software; you can redistribute it and/or
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+ modify it under the terms of the GNU Lesser General Public
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+ License as published by the Free Software Foundation; either
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+ version 2.1 of the License, or (at your option) any later version.
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+
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+ The GNU C Library is distributed in the hope that it will be useful,
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+ but WITHOUT ANY WARRANTY; without even the implied warranty of
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+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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+ Lesser General Public License for more details.
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+
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+ You should have received a copy of the GNU Lesser General Public
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|
+ License along with the GNU C Library; if not, write to the Free
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+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
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+ 02111-1307 USA. */
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+
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+#include <math.h>
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+#include <math_private.h>
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+#include <fenv_libc.h>
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+#include <inttypes.h>
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+
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+#include <sysdep.h>
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+#include <ldsodefs.h>
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+
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+static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 };
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+static const ieee_float_shape_type a_inf = {.word = 0x7f800000 };
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+static const float threehalf = 1.5;
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+
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+/* The method is based on the descriptions in:
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+
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+ _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5;
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+ _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9
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+
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+ We find the reciprocal square root and use that to compute the actual
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+ square root. */
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+
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+#ifdef __STDC__
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+float
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+__ieee754_sqrtf (float b)
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+#else
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+float
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+__ieee754_sqrtf (b)
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+ float b;
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+#endif
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+{
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+ if (__builtin_expect (b > 0, 1))
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+ {
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+#define FMSUB(a_, c_, b_) \
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+ ({ double __r; \
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+ __asm__ ("fmsub %[r], %[a], %[c], %[b]\n" \
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+ : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \
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+ __r;})
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+#define FNMSUB(a_, c_, b_) \
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+ ({ double __r; \
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+ __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \
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+ : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \
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+ __r;})
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+
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+ if (__builtin_expect (b != a_inf.value, 1))
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+ {
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+ double y, x;
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+ fenv_t fe;
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+
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+ fe = fegetenv_register ();
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+
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+ relax_fenv_state ();
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+
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+ /* Compute y = 1.5 * b - b. Uses fewer constants than y = 0.5 * b. */
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+ y = FMSUB (threehalf, b, b);
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+
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+ /* Initial estimate. */
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+ __asm__ ("frsqrte %[x], %[b]\n" : [x] "=f" (x) : [b] "f" (b));
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+
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+ /* Iterate. x_{n+1} = x_n * (1.5 - y * (x_n * x_n)). */
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+ x = x * FNMSUB (y, x * x, threehalf);
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+ x = x * FNMSUB (y, x * x, threehalf);
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+ x = x * FNMSUB (y, x * x, threehalf);
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+
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+ /* All done. */
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+ fesetenv_register (fe);
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+ return x * b;
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+ }
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+ }
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+ else if (b < 0)
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+ {
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+ /* For some reason, some PowerPC32 processors don't implement
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+ FE_INVALID_SQRT. */
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+#ifdef FE_INVALID_SQRT
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+ feraiseexcept (FE_INVALID_SQRT);
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+
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+ fenv_union_t u = { .fenv = fegetenv_register () };
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+ if ((u.l[1] & FE_INVALID) == 0)
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+#endif
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+ feraiseexcept (FE_INVALID);
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+ b = a_nan.value;
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+ }
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+ return f_washf (b);
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+}
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Index: libc/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c
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===================================================================
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--- /dev/null
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+++ libc/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c
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@@ -0,0 +1,134 @@
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+/* Double-precision floating point square root.
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+ Copyright (C) 2010 Free Software Foundation, Inc.
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+ This file is part of the GNU C Library.
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+
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+ The GNU C Library is free software; you can redistribute it and/or
|
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+ modify it under the terms of the GNU Lesser General Public
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|
+ License as published by the Free Software Foundation; either
|
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+ version 2.1 of the License, or (at your option) any later version.
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+
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+ 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
|
|
+ Lesser General Public License for more details.
|
|
+
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+ You should have received a copy of the GNU Lesser General Public
|
|
+ License along with the GNU C Library; if not, write to the Free
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+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
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+ 02111-1307 USA. */
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+
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+#include <math.h>
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+#include <math_private.h>
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+#include <fenv_libc.h>
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+#include <inttypes.h>
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+
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+#include <sysdep.h>
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+#include <ldsodefs.h>
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+
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+static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 };
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+static const ieee_float_shape_type a_inf = {.word = 0x7f800000 };
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+static const float two108 = 3.245185536584267269e+32;
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+static const float twom54 = 5.551115123125782702e-17;
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+static const float half = 0.5;
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+
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+/* The method is based on the descriptions in:
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+
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+ _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5;
|
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+ _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9
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+
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+ We find the actual square root and half of its reciprocal
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+ simultaneously. */
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+
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+#ifdef __STDC__
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+double
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+__ieee754_sqrt (double b)
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+#else
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+double
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+__ieee754_sqrt (b)
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+ double b;
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+#endif
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+{
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+ if (__builtin_expect (b > 0, 1))
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+ {
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+ double y, g, h, d, r;
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+ ieee_double_shape_type u;
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+
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+ if (__builtin_expect (b != a_inf.value, 1))
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+ {
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+ fenv_t fe;
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+
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+ fe = fegetenv_register ();
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+
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+ u.value = b;
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+
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+ relax_fenv_state ();
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+
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+ __asm__ ("frsqrte %[estimate], %[x]\n"
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+ : [estimate] "=f" (y) : [x] "f" (b));
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+
|
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+ /* Following Muller et al, page 168, equation 5.20.
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+
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+ h goes to 1/(2*sqrt(b))
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+ g goes to sqrt(b).
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+
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+ We need three iterations to get within 1ulp. */
|
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+
|
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+ /* Indicate that these can be performed prior to the branch. GCC
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|
+ insists on sinking them below the branch, however; it seems like
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|
+ they'd be better before the branch so that we can cover any latency
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|
+ from storing the argument and loading its high word. Oh well. */
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+
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+ g = b * y;
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+ h = 0.5 * y;
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+
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+ /* Handle small numbers by scaling. */
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+ if (__builtin_expect ((u.parts.msw & 0x7ff00000) <= 0x02000000, 0))
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+ return __ieee754_sqrt (b * two108) * twom54;
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+
|
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+#define FMADD(a_, c_, b_) \
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+ ({ double __r; \
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+ __asm__ ("fmadd %[r], %[a], %[c], %[b]\n" \
|
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+ : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \
|
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+ __r;})
|
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+#define FNMSUB(a_, c_, b_) \
|
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+ ({ double __r; \
|
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+ __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \
|
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+ : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \
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+ __r;})
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+
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+ r = FNMSUB (g, h, half);
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+ g = FMADD (g, r, g);
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+ h = FMADD (h, r, h);
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+
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+ r = FNMSUB (g, h, half);
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+ g = FMADD (g, r, g);
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+ h = FMADD (h, r, h);
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+
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+ r = FNMSUB (g, h, half);
|
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+ g = FMADD (g, r, g);
|
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+ h = FMADD (h, r, h);
|
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+
|
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+ /* g is now +/- 1ulp, or exactly equal to, the square root of b. */
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+
|
|
+ /* Final refinement. */
|
|
+ d = FNMSUB (g, g, b);
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+
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+ fesetenv_register (fe);
|
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+ return FMADD (d, h, g);
|
|
+ }
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|
+ }
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|
+ else if (b < 0)
|
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+ {
|
|
+ /* For some reason, some PowerPC32 processors don't implement
|
|
+ FE_INVALID_SQRT. */
|
|
+#ifdef FE_INVALID_SQRT
|
|
+ feraiseexcept (FE_INVALID_SQRT);
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|
+
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|
+ fenv_union_t u = { .fenv = fegetenv_register () };
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|
+ if ((u.l[1] & FE_INVALID) == 0)
|
|
+#endif
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+ feraiseexcept (FE_INVALID);
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|
+ b = a_nan.value;
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+ }
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+ return f_wash (b);
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+}
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Index: libc/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c
|
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===================================================================
|
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--- /dev/null
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+++ libc/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c
|
|
@@ -0,0 +1,101 @@
|
|
+/* Single-precision floating point square root.
|
|
+ Copyright (C) 2010 Free Software Foundation, Inc.
|
|
+ This file is part of the GNU C Library.
|
|
+
|
|
+ The GNU C 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 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
|
|
+ Lesser General Public License for more details.
|
|
+
|
|
+ You should have received a copy of the GNU Lesser General Public
|
|
+ License along with the GNU C Library; 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>
|
|
+#include <fenv_libc.h>
|
|
+#include <inttypes.h>
|
|
+
|
|
+#include <sysdep.h>
|
|
+#include <ldsodefs.h>
|
|
+
|
|
+static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 };
|
|
+static const ieee_float_shape_type a_inf = {.word = 0x7f800000 };
|
|
+static const float threehalf = 1.5;
|
|
+
|
|
+/* The method is based on the descriptions in:
|
|
+
|
|
+ _The Handbook of Floating-Pointer Arithmetic_ by Muller et al., chapter 5;
|
|
+ _IA-64 and Elementary Functions: Speed and Precision_ by Markstein, chapter 9
|
|
+
|
|
+ We find the reciprocal square root and use that to compute the actual
|
|
+ square root. */
|
|
+
|
|
+#ifdef __STDC__
|
|
+float
|
|
+__ieee754_sqrtf (float b)
|
|
+#else
|
|
+float
|
|
+__ieee754_sqrtf (b)
|
|
+ float b;
|
|
+#endif
|
|
+{
|
|
+ if (__builtin_expect (b > 0, 1))
|
|
+ {
|
|
+#define FMSUB(a_, c_, b_) \
|
|
+ ({ double __r; \
|
|
+ __asm__ ("fmsub %[r], %[a], %[c], %[b]\n" \
|
|
+ : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \
|
|
+ __r;})
|
|
+#define FNMSUB(a_, c_, b_) \
|
|
+ ({ double __r; \
|
|
+ __asm__ ("fnmsub %[r], %[a], %[c], %[b]\n" \
|
|
+ : [r] "=f" (__r) : [a] "f" (a_), [c] "f" (c_), [b] "f" (b_)); \
|
|
+ __r;})
|
|
+
|
|
+ if (__builtin_expect (b != a_inf.value, 1))
|
|
+ {
|
|
+ double y, x;
|
|
+ fenv_t fe;
|
|
+
|
|
+ fe = fegetenv_register ();
|
|
+
|
|
+ relax_fenv_state ();
|
|
+
|
|
+ /* Compute y = 1.5 * b - b. Uses fewer constants than y = 0.5 * b. */
|
|
+ y = FMSUB (threehalf, b, b);
|
|
+
|
|
+ /* Initial estimate. */
|
|
+ __asm__ ("frsqrte %[x], %[b]\n" : [x] "=f" (x) : [b] "f" (b));
|
|
+
|
|
+ /* Iterate. x_{n+1} = x_n * (1.5 - y * (x_n * x_n)). */
|
|
+ x = x * FNMSUB (y, x * x, threehalf);
|
|
+ x = x * FNMSUB (y, x * x, threehalf);
|
|
+ x = x * FNMSUB (y, x * x, threehalf);
|
|
+
|
|
+ /* All done. */
|
|
+ fesetenv_register (fe);
|
|
+ return x * b;
|
|
+ }
|
|
+ }
|
|
+ else if (b < 0)
|
|
+ {
|
|
+ /* For some reason, some PowerPC32 processors don't implement
|
|
+ FE_INVALID_SQRT. */
|
|
+#ifdef FE_INVALID_SQRT
|
|
+ feraiseexcept (FE_INVALID_SQRT);
|
|
+
|
|
+ fenv_union_t u = { .fenv = fegetenv_register () };
|
|
+ if ((u.l[1] & FE_INVALID) == 0)
|
|
+#endif
|
|
+ feraiseexcept (FE_INVALID);
|
|
+ b = a_nan.value;
|
|
+ }
|
|
+ return f_washf (b);
|
|
+}
|
|
Index: libc/sysdeps/unix/sysv/linux/powerpc/powerpc32/603e/fpu/Implies
|
|
===================================================================
|
|
--- /dev/null
|
|
+++ libc/sysdeps/unix/sysv/linux/powerpc/powerpc32/603e/fpu/Implies
|
|
@@ -0,0 +1 @@
|
|
+powerpc/powerpc32/603e/fpu
|
|
Index: libc/sysdeps/unix/sysv/linux/powerpc/powerpc32/7400/fpu/Implies
|
|
===================================================================
|
|
--- /dev/null
|
|
+++ libc/sysdeps/unix/sysv/linux/powerpc/powerpc32/7400/fpu/Implies
|
|
@@ -0,0 +1 @@
|
|
+powerpc/powerpc32/603e/fpu
|
|
Index: libc/sysdeps/unix/sysv/linux/powerpc/powerpc32/e500mc/fpu/Implies
|
|
===================================================================
|
|
--- /dev/null
|
|
+++ libc/sysdeps/unix/sysv/linux/powerpc/powerpc32/e500mc/fpu/Implies
|
|
@@ -0,0 +1 @@
|
|
+powerpc/powerpc32/603e/fpu
|
|
Index: libc/sysdeps/unix/sysv/linux/powerpc/powerpc64/e5500/fpu/Implies
|
|
===================================================================
|
|
--- /dev/null
|
|
+++ libc/sysdeps/unix/sysv/linux/powerpc/powerpc64/e5500/fpu/Implies
|
|
@@ -0,0 +1 @@
|
|
+powerpc/powerpc64/e5500/fpu
|
|
Index: libc/sysdeps/unix/sysv/linux/powerpc/powerpc32/e5500/fpu/Implies
|
|
===================================================================
|
|
--- /dev/null
|
|
+++ libc/sysdeps/unix/sysv/linux/powerpc/powerpc32/e5500/fpu/Implies
|
|
@@ -0,0 +1 @@
|
|
+powerpc/powerpc32/603e/fpu
|