diff options
Diffstat (limited to 'external/poky/meta/recipes-core/glibc/glibc/0008-fsl-e500-e5500-e6500-603e-fsqrt-implementation.patch')
-rw-r--r-- | external/poky/meta/recipes-core/glibc/glibc/0008-fsl-e500-e5500-e6500-603e-fsqrt-implementation.patch | 1581 |
1 files changed, 1581 insertions, 0 deletions
diff --git a/external/poky/meta/recipes-core/glibc/glibc/0008-fsl-e500-e5500-e6500-603e-fsqrt-implementation.patch b/external/poky/meta/recipes-core/glibc/glibc/0008-fsl-e500-e5500-e6500-603e-fsqrt-implementation.patch new file mode 100644 index 00000000..3dac3253 --- /dev/null +++ b/external/poky/meta/recipes-core/glibc/glibc/0008-fsl-e500-e5500-e6500-603e-fsqrt-implementation.patch @@ -0,0 +1,1581 @@ +From 61b6c9737897c5828ef4b40699ee0a74c570034a Mon Sep 17 00:00:00 2001 +From: Khem Raj <raj.khem@gmail.com> +Date: Wed, 18 Mar 2015 00:01:50 +0000 +Subject: [PATCH] fsl e500/e5500/e6500/603e fsqrt implementation + +Upstream-Status: Pending +Signed-off-by: Edmar Wienskoski <edmar@freescale.com> +Signed-off-by: Khem Raj <raj.khem@gmail.com> +--- + sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c | 134 ++++++++++++++++++ + sysdeps/powerpc/powerpc32/603e/fpu/e_sqrtf.c | 101 +++++++++++++ + sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrt.c | 134 ++++++++++++++++++ + .../powerpc/powerpc32/e500mc/fpu/e_sqrtf.c | 101 +++++++++++++ + sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrt.c | 134 ++++++++++++++++++ + sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrtf.c | 101 +++++++++++++ + sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrt.c | 134 ++++++++++++++++++ + sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrtf.c | 101 +++++++++++++ + sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c | 134 ++++++++++++++++++ + sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c | 101 +++++++++++++ + sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrt.c | 134 ++++++++++++++++++ + sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrtf.c | 101 +++++++++++++ + .../linux/powerpc/powerpc32/603e/fpu/Implies | 1 + + .../powerpc/powerpc32/e300c3/fpu/Implies | 2 + + .../powerpc/powerpc32/e500mc/fpu/Implies | 1 + + .../linux/powerpc/powerpc32/e5500/fpu/Implies | 1 + + .../linux/powerpc/powerpc32/e6500/fpu/Implies | 1 + + .../linux/powerpc/powerpc64/e5500/fpu/Implies | 1 + + .../linux/powerpc/powerpc64/e6500/fpu/Implies | 1 + + 19 files changed, 1418 insertions(+) + create mode 100644 sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c + create mode 100644 sysdeps/powerpc/powerpc32/603e/fpu/e_sqrtf.c + create mode 100644 sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrt.c + create mode 100644 sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrtf.c + create mode 100644 sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrt.c + create mode 100644 sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrtf.c + create mode 100644 sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrt.c + create mode 100644 sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrtf.c + create mode 100644 sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c + create mode 100644 sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c + create mode 100644 sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrt.c + create mode 100644 sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrtf.c + create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc32/603e/fpu/Implies + create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc32/e300c3/fpu/Implies + create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc32/e500mc/fpu/Implies + create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc32/e5500/fpu/Implies + create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc32/e6500/fpu/Implies + create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc64/e5500/fpu/Implies + create mode 100644 sysdeps/unix/sysv/linux/powerpc/powerpc64/e6500/fpu/Implies + +diff --git a/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c b/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrt.c +new file mode 100644 +index 0000000000..71e516d1c8 +--- /dev/null ++++ b/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 & FE_INVALID) == 0) ++#endif ++ feraiseexcept (FE_INVALID); ++ b = a_nan.value; ++ } ++ return f_wash (b); ++} +diff --git a/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrtf.c b/sysdeps/powerpc/powerpc32/603e/fpu/e_sqrtf.c +new file mode 100644 +index 0000000000..26fa067abf +--- /dev/null ++++ b/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 & FE_INVALID) == 0) ++#endif ++ feraiseexcept (FE_INVALID); ++ b = a_nan.value; ++ } ++ return f_washf (b); ++} +diff --git a/sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrt.c b/sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrt.c +new file mode 100644 +index 0000000000..71e516d1c8 +--- /dev/null ++++ b/sysdeps/powerpc/powerpc32/e500mc/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 & FE_INVALID) == 0) ++#endif ++ feraiseexcept (FE_INVALID); ++ b = a_nan.value; ++ } ++ return f_wash (b); ++} +diff --git a/sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrtf.c b/sysdeps/powerpc/powerpc32/e500mc/fpu/e_sqrtf.c +new file mode 100644 +index 0000000000..26fa067abf +--- /dev/null ++++ b/sysdeps/powerpc/powerpc32/e500mc/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 & FE_INVALID) == 0) ++#endif ++ feraiseexcept (FE_INVALID); ++ b = a_nan.value; ++ } ++ return f_washf (b); ++} +diff --git a/sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrt.c b/sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrt.c +new file mode 100644 +index 0000000000..71e516d1c8 +--- /dev/null ++++ b/sysdeps/powerpc/powerpc32/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 & FE_INVALID) == 0) ++#endif ++ feraiseexcept (FE_INVALID); ++ b = a_nan.value; ++ } ++ return f_wash (b); ++} +diff --git a/sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrtf.c b/sysdeps/powerpc/powerpc32/e5500/fpu/e_sqrtf.c +new file mode 100644 +index 0000000000..26fa067abf +--- /dev/null ++++ b/sysdeps/powerpc/powerpc32/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 & FE_INVALID) == 0) ++#endif ++ feraiseexcept (FE_INVALID); ++ b = a_nan.value; ++ } ++ return f_washf (b); ++} +diff --git a/sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrt.c b/sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrt.c +new file mode 100644 +index 0000000000..71e516d1c8 +--- /dev/null ++++ b/sysdeps/powerpc/powerpc32/e6500/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 & FE_INVALID) == 0) ++#endif ++ feraiseexcept (FE_INVALID); ++ b = a_nan.value; ++ } ++ return f_wash (b); ++} +diff --git a/sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrtf.c b/sysdeps/powerpc/powerpc32/e6500/fpu/e_sqrtf.c +new file mode 100644 +index 0000000000..26fa067abf +--- /dev/null ++++ b/sysdeps/powerpc/powerpc32/e6500/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 & FE_INVALID) == 0) ++#endif ++ feraiseexcept (FE_INVALID); ++ b = a_nan.value; ++ } ++ return f_washf (b); ++} +diff --git a/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c b/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrt.c +new file mode 100644 +index 0000000000..71e516d1c8 +--- /dev/null ++++ b/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 & FE_INVALID) == 0) ++#endif ++ feraiseexcept (FE_INVALID); ++ b = a_nan.value; ++ } ++ return f_wash (b); ++} +diff --git a/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c b/sysdeps/powerpc/powerpc64/e5500/fpu/e_sqrtf.c +new file mode 100644 +index 0000000000..26fa067abf +--- /dev/null ++++ b/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 & FE_INVALID) == 0) ++#endif ++ feraiseexcept (FE_INVALID); ++ b = a_nan.value; ++ } ++ return f_washf (b); ++} +diff --git a/sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrt.c b/sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrt.c +new file mode 100644 +index 0000000000..71e516d1c8 +--- /dev/null ++++ b/sysdeps/powerpc/powerpc64/e6500/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 & FE_INVALID) == 0) ++#endif ++ feraiseexcept (FE_INVALID); ++ b = a_nan.value; ++ } ++ return f_wash (b); ++} +diff --git a/sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrtf.c b/sysdeps/powerpc/powerpc64/e6500/fpu/e_sqrtf.c +new file mode 100644 +index 0000000000..26fa067abf +--- /dev/null ++++ b/sysdeps/powerpc/powerpc64/e6500/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 & FE_INVALID) == 0) ++#endif ++ feraiseexcept (FE_INVALID); ++ b = a_nan.value; ++ } ++ return f_washf (b); ++} +diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/603e/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc32/603e/fpu/Implies +new file mode 100644 +index 0000000000..b103b4dea5 +--- /dev/null ++++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/603e/fpu/Implies +@@ -0,0 +1 @@ ++powerpc/powerpc32/603e/fpu +diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/e300c3/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e300c3/fpu/Implies +new file mode 100644 +index 0000000000..64db17fada +--- /dev/null ++++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e300c3/fpu/Implies +@@ -0,0 +1,2 @@ ++# e300c3 is a variant of 603e so use the same optimizations for sqrt ++powerpc/powerpc32/603e/fpu +diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/e500mc/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e500mc/fpu/Implies +new file mode 100644 +index 0000000000..7eac5fcf02 +--- /dev/null ++++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e500mc/fpu/Implies +@@ -0,0 +1 @@ ++powerpc/powerpc32/e500mc/fpu +diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/e5500/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e5500/fpu/Implies +new file mode 100644 +index 0000000000..264b2a7700 +--- /dev/null ++++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e5500/fpu/Implies +@@ -0,0 +1 @@ ++powerpc/powerpc32/e5500/fpu +diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/e6500/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e6500/fpu/Implies +new file mode 100644 +index 0000000000..a25934467b +--- /dev/null ++++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/e6500/fpu/Implies +@@ -0,0 +1 @@ ++powerpc/powerpc32/e6500/fpu +diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/e5500/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc64/e5500/fpu/Implies +new file mode 100644 +index 0000000000..a7bc854be8 +--- /dev/null ++++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/e5500/fpu/Implies +@@ -0,0 +1 @@ ++powerpc/powerpc64/e5500/fpu +diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/e6500/fpu/Implies b/sysdeps/unix/sysv/linux/powerpc/powerpc64/e6500/fpu/Implies +new file mode 100644 +index 0000000000..04ff8cc181 +--- /dev/null ++++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/e6500/fpu/Implies +@@ -0,0 +1 @@ ++powerpc/powerpc64/e6500/fpu |