diff options
Diffstat (limited to 'meta/recipes-core/eglibc')
-rw-r--r-- | meta/recipes-core/eglibc/eglibc-2.13/ppc-sqrt.patch | 1076 |
1 files changed, 538 insertions, 538 deletions
diff --git a/meta/recipes-core/eglibc/eglibc-2.13/ppc-sqrt.patch b/meta/recipes-core/eglibc/eglibc-2.13/ppc-sqrt.patch index 0c6f0cb1f..203040c15 100644 --- a/meta/recipes-core/eglibc/eglibc-2.13/ppc-sqrt.patch +++ b/meta/recipes-core/eglibc/eglibc-2.13/ppc-sqrt.patch @@ -1,538 +1,538 @@ -Upstream-Status: Pending
-
-2011-03-22 Joseph Myers <joseph@codesourcery.com>
-
- Merge from SG++ 2.11:
-
- 2010-10-05 Nathan Froyd <froydnj@codesourcery.com>
-
- Issue #9382
-
- * sysdeps/powerpc/powerpc32/603e/: New directory.
- * sysdeps/unix/sysv/linux/powerpc/powerpc32/e500mc/: New directory.
- * sysdeps/unix/sysv/linux/powerpc/powerpc32/603e/: New directory.
- * sysdeps/unix/sysv/linux/powerpc/powerpc32/7400/: New directory.
- * sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c: Update.
- * sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c: Update.
- * sysdeps/powerpc/powerpc64/e5500/fpu/Implies: New file.
-
-Index: libc/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c
-===================================================================
---- /dev/null
-+++ libc/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c
-@@ -0,0 +1,134 @@
-+/* Double-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 two108 = 3.245185536584267269e+32;
-+static const float twom54 = 5.551115123125782702e-17;
-+static const float half = 0.5;
-+
-+/* 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 actual square root and half of its reciprocal
-+ simultaneously. */
-+
-+#ifdef __STDC__
-+double
-+__ieee754_sqrt (double b)
-+#else
-+double
-+__ieee754_sqrt (b)
-+ double b;
-+#endif
-+{
-+ if (__builtin_expect (b > 0, 1))
-+ {
-+ double y, g, h, d, r;
-+ ieee_double_shape_type u;
-+
-+ if (__builtin_expect (b != a_inf.value, 1))
-+ {
-+ fenv_t fe;
-+
-+ fe = fegetenv_register ();
-+
-+ u.value = b;
-+
-+ relax_fenv_state ();
-+
-+ __asm__ ("frsqrte %[estimate], %[x]\n"
-+ : [estimate] "=f" (y) : [x] "f" (b));
-+
-+ /* Following Muller et al, page 168, equation 5.20.
-+
-+ h goes to 1/(2*sqrt(b))
-+ g goes to sqrt(b).
-+
-+ We need three iterations to get within 1ulp. */
-+
-+ /* Indicate that these can be performed prior to the branch. GCC
-+ insists on sinking them below the branch, however; it seems like
-+ they'd be better before the branch so that we can cover any latency
-+ from storing the argument and loading its high word. Oh well. */
-+
-+ g = b * y;
-+ h = 0.5 * y;
-+
-+ /* Handle small numbers by scaling. */
-+ if (__builtin_expect ((u.parts.msw & 0x7ff00000) <= 0x02000000, 0))
-+ return __ieee754_sqrt (b * two108) * twom54;
-+
-+#define FMADD(a_, c_, b_) \
-+ ({ double __r; \
-+ __asm__ ("fmadd %[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;})
-+
-+ r = FNMSUB (g, h, half);
-+ g = FMADD (g, r, g);
-+ h = FMADD (h, r, h);
-+
-+ r = FNMSUB (g, h, half);
-+ g = FMADD (g, r, g);
-+ h = FMADD (h, r, h);
-+
-+ r = FNMSUB (g, h, half);
-+ g = FMADD (g, r, g);
-+ h = FMADD (h, r, h);
-+
-+ /* g is now +/- 1ulp, or exactly equal to, the square root of b. */
-+
-+ /* Final refinement. */
-+ d = FNMSUB (g, g, b);
-+
-+ fesetenv_register (fe);
-+ return FMADD (d, h, g);
-+ }
-+ }
-+ 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_wash (b);
-+}
-Index: libc/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrtf.c
-===================================================================
---- /dev/null
-+++ libc/sysdeps/powerpc/powerpc32/603e/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/powerpc/powerpc64/e5500/fpu/e_sqrt.c
-===================================================================
---- /dev/null
-+++ libc/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c
-@@ -0,0 +1,134 @@
-+/* Double-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 two108 = 3.245185536584267269e+32;
-+static const float twom54 = 5.551115123125782702e-17;
-+static const float half = 0.5;
-+
-+/* 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 actual square root and half of its reciprocal
-+ simultaneously. */
-+
-+#ifdef __STDC__
-+double
-+__ieee754_sqrt (double b)
-+#else
-+double
-+__ieee754_sqrt (b)
-+ double b;
-+#endif
-+{
-+ if (__builtin_expect (b > 0, 1))
-+ {
-+ double y, g, h, d, r;
-+ ieee_double_shape_type u;
-+
-+ if (__builtin_expect (b != a_inf.value, 1))
-+ {
-+ fenv_t fe;
-+
-+ fe = fegetenv_register ();
-+
-+ u.value = b;
-+
-+ relax_fenv_state ();
-+
-+ __asm__ ("frsqrte %[estimate], %[x]\n"
-+ : [estimate] "=f" (y) : [x] "f" (b));
-+
-+ /* Following Muller et al, page 168, equation 5.20.
-+
-+ h goes to 1/(2*sqrt(b))
-+ g goes to sqrt(b).
-+
-+ We need three iterations to get within 1ulp. */
-+
-+ /* Indicate that these can be performed prior to the branch. GCC
-+ insists on sinking them below the branch, however; it seems like
-+ they'd be better before the branch so that we can cover any latency
-+ from storing the argument and loading its high word. Oh well. */
-+
-+ g = b * y;
-+ h = 0.5 * y;
-+
-+ /* Handle small numbers by scaling. */
-+ if (__builtin_expect ((u.parts.msw & 0x7ff00000) <= 0x02000000, 0))
-+ return __ieee754_sqrt (b * two108) * twom54;
-+
-+#define FMADD(a_, c_, b_) \
-+ ({ double __r; \
-+ __asm__ ("fmadd %[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;})
-+
-+ r = FNMSUB (g, h, half);
-+ g = FMADD (g, r, g);
-+ h = FMADD (h, r, h);
-+
-+ r = FNMSUB (g, h, half);
-+ g = FMADD (g, r, g);
-+ h = FMADD (h, r, h);
-+
-+ r = FNMSUB (g, h, half);
-+ g = FMADD (g, r, g);
-+ h = FMADD (h, r, h);
-+
-+ /* g is now +/- 1ulp, or exactly equal to, the square root of b. */
-+
-+ /* Final refinement. */
-+ d = FNMSUB (g, g, b);
-+
-+ fesetenv_register (fe);
-+ return FMADD (d, h, g);
-+ }
-+ }
-+ 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_wash (b);
-+}
-Index: libc/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c
-===================================================================
---- /dev/null
-+++ 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
+Upstream-Status: Pending + +2011-03-22 Joseph Myers <joseph@codesourcery.com> + + Merge from SG++ 2.11: + + 2010-10-05 Nathan Froyd <froydnj@codesourcery.com> + + Issue #9382 + + * sysdeps/powerpc/powerpc32/603e/: New directory. + * sysdeps/unix/sysv/linux/powerpc/powerpc32/e500mc/: New directory. + * sysdeps/unix/sysv/linux/powerpc/powerpc32/603e/: New directory. + * sysdeps/unix/sysv/linux/powerpc/powerpc32/7400/: New directory. + * sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c: Update. + * sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c: Update. + * sysdeps/powerpc/powerpc64/e5500/fpu/Implies: New file. + +Index: libc/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c +=================================================================== +--- /dev/null ++++ libc/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c +@@ -0,0 +1,134 @@ ++/* Double-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 two108 = 3.245185536584267269e+32; ++static const float twom54 = 5.551115123125782702e-17; ++static const float half = 0.5; ++ ++/* 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 actual square root and half of its reciprocal ++ simultaneously. */ ++ ++#ifdef __STDC__ ++double ++__ieee754_sqrt (double b) ++#else ++double ++__ieee754_sqrt (b) ++ double b; ++#endif ++{ ++ if (__builtin_expect (b > 0, 1)) ++ { ++ double y, g, h, d, r; ++ ieee_double_shape_type u; ++ ++ if (__builtin_expect (b != a_inf.value, 1)) ++ { ++ fenv_t fe; ++ ++ fe = fegetenv_register (); ++ ++ u.value = b; ++ ++ relax_fenv_state (); ++ ++ __asm__ ("frsqrte %[estimate], %[x]\n" ++ : [estimate] "=f" (y) : [x] "f" (b)); ++ ++ /* Following Muller et al, page 168, equation 5.20. ++ ++ h goes to 1/(2*sqrt(b)) ++ g goes to sqrt(b). ++ ++ We need three iterations to get within 1ulp. */ ++ ++ /* Indicate that these can be performed prior to the branch. GCC ++ insists on sinking them below the branch, however; it seems like ++ they'd be better before the branch so that we can cover any latency ++ from storing the argument and loading its high word. Oh well. */ ++ ++ g = b * y; ++ h = 0.5 * y; ++ ++ /* Handle small numbers by scaling. */ ++ if (__builtin_expect ((u.parts.msw & 0x7ff00000) <= 0x02000000, 0)) ++ return __ieee754_sqrt (b * two108) * twom54; ++ ++#define FMADD(a_, c_, b_) \ ++ ({ double __r; \ ++ __asm__ ("fmadd %[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;}) ++ ++ r = FNMSUB (g, h, half); ++ g = FMADD (g, r, g); ++ h = FMADD (h, r, h); ++ ++ r = FNMSUB (g, h, half); ++ g = FMADD (g, r, g); ++ h = FMADD (h, r, h); ++ ++ r = FNMSUB (g, h, half); ++ g = FMADD (g, r, g); ++ h = FMADD (h, r, h); ++ ++ /* g is now +/- 1ulp, or exactly equal to, the square root of b. */ ++ ++ /* Final refinement. */ ++ d = FNMSUB (g, g, b); ++ ++ fesetenv_register (fe); ++ return FMADD (d, h, g); ++ } ++ } ++ 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_wash (b); ++} +Index: libc/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrtf.c +=================================================================== +--- /dev/null ++++ libc/sysdeps/powerpc/powerpc32/603e/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/powerpc/powerpc64/e5500/fpu/e_sqrt.c +=================================================================== +--- /dev/null ++++ libc/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c +@@ -0,0 +1,134 @@ ++/* Double-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 two108 = 3.245185536584267269e+32; ++static const float twom54 = 5.551115123125782702e-17; ++static const float half = 0.5; ++ ++/* 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 actual square root and half of its reciprocal ++ simultaneously. */ ++ ++#ifdef __STDC__ ++double ++__ieee754_sqrt (double b) ++#else ++double ++__ieee754_sqrt (b) ++ double b; ++#endif ++{ ++ if (__builtin_expect (b > 0, 1)) ++ { ++ double y, g, h, d, r; ++ ieee_double_shape_type u; ++ ++ if (__builtin_expect (b != a_inf.value, 1)) ++ { ++ fenv_t fe; ++ ++ fe = fegetenv_register (); ++ ++ u.value = b; ++ ++ relax_fenv_state (); ++ ++ __asm__ ("frsqrte %[estimate], %[x]\n" ++ : [estimate] "=f" (y) : [x] "f" (b)); ++ ++ /* Following Muller et al, page 168, equation 5.20. ++ ++ h goes to 1/(2*sqrt(b)) ++ g goes to sqrt(b). ++ ++ We need three iterations to get within 1ulp. */ ++ ++ /* Indicate that these can be performed prior to the branch. GCC ++ insists on sinking them below the branch, however; it seems like ++ they'd be better before the branch so that we can cover any latency ++ from storing the argument and loading its high word. Oh well. */ ++ ++ g = b * y; ++ h = 0.5 * y; ++ ++ /* Handle small numbers by scaling. */ ++ if (__builtin_expect ((u.parts.msw & 0x7ff00000) <= 0x02000000, 0)) ++ return __ieee754_sqrt (b * two108) * twom54; ++ ++#define FMADD(a_, c_, b_) \ ++ ({ double __r; \ ++ __asm__ ("fmadd %[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;}) ++ ++ r = FNMSUB (g, h, half); ++ g = FMADD (g, r, g); ++ h = FMADD (h, r, h); ++ ++ r = FNMSUB (g, h, half); ++ g = FMADD (g, r, g); ++ h = FMADD (h, r, h); ++ ++ r = FNMSUB (g, h, half); ++ g = FMADD (g, r, g); ++ h = FMADD (h, r, h); ++ ++ /* g is now +/- 1ulp, or exactly equal to, the square root of b. */ ++ ++ /* Final refinement. */ ++ d = FNMSUB (g, g, b); ++ ++ fesetenv_register (fe); ++ return FMADD (d, h, g); ++ } ++ } ++ 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_wash (b); ++} +Index: libc/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c +=================================================================== +--- /dev/null ++++ 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 |