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authorZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
committerZack Weinberg <zackw@panix.com>2017-06-08 15:39:03 -0400
commit5046dbb4a7eba5eccfd258f92f4735c9ffc8d069 (patch)
tree4470480d904b65cf14ca524f96f79eca818c3eaf /sysdeps/powerpc/fpu/e_sqrtf.c
parent199fc19d3aaaf57944ef036e15904febe877fc93 (diff)
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Prepare for radical source tree reorganization.zack/build-layout-experiment
All top-level files and directories are moved into a temporary storage directory, REORG.TODO, except for files that will certainly still exist in their current form at top level when we're done (COPYING, COPYING.LIB, LICENSES, NEWS, README), all old ChangeLog files (which are moved to the new directory OldChangeLogs, instead), and the generated file INSTALL (which is just deleted; in the new order, there will be no generated files checked into version control).
Diffstat (limited to 'sysdeps/powerpc/fpu/e_sqrtf.c')
-rw-r--r--sysdeps/powerpc/fpu/e_sqrtf.c150
1 files changed, 0 insertions, 150 deletions
diff --git a/sysdeps/powerpc/fpu/e_sqrtf.c b/sysdeps/powerpc/fpu/e_sqrtf.c
deleted file mode 100644
index 65d27b4d42..0000000000
--- a/sysdeps/powerpc/fpu/e_sqrtf.c
+++ /dev/null
@@ -1,150 +0,0 @@
-/* Single-precision floating point square root.
- Copyright (C) 1997-2017 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, see
- <http://www.gnu.org/licenses/>. */
-
-#include <math.h>
-#include <math_private.h>
-#include <fenv_libc.h>
-#include <inttypes.h>
-#include <stdint.h>
-#include <sysdep.h>
-#include <ldsodefs.h>
-
-#ifndef _ARCH_PPCSQ
-static const float almost_half = 0.50000006; /* 0.5 + 2^-24 */
-static const ieee_float_shape_type a_nan = {.word = 0x7fc00000 };
-static const ieee_float_shape_type a_inf = {.word = 0x7f800000 };
-static const float two48 = 281474976710656.0;
-static const float twom24 = 5.9604644775390625e-8;
-extern const float __t_sqrt[1024];
-
-/* The method is based on a description in
- Computation of elementary functions on the IBM RISC System/6000 processor,
- P. W. Markstein, IBM J. Res. Develop, 34(1) 1990.
- Basically, it consists of two interleaved Newton-Raphson approximations,
- one to find the actual square root, and one to find its reciprocal
- without the expense of a division operation. The tricky bit here
- is the use of the POWER/PowerPC multiply-add operation to get the
- required accuracy with high speed.
-
- The argument reduction works by a combination of table lookup to
- obtain the initial guesses, and some careful modification of the
- generated guesses (which mostly runs on the integer unit, while the
- Newton-Raphson is running on the FPU). */
-
-float
-__slow_ieee754_sqrtf (float x)
-{
- const float inf = a_inf.value;
-
- if (x > 0)
- {
- if (x != inf)
- {
- /* Variables named starting with 's' exist in the
- argument-reduced space, so that 2 > sx >= 0.5,
- 1.41... > sg >= 0.70.., 0.70.. >= sy > 0.35... .
- Variables named ending with 'i' are integer versions of
- floating-point values. */
- float sx; /* The value of which we're trying to find the square
- root. */
- float sg, g; /* Guess of the square root of x. */
- float sd, d; /* Difference between the square of the guess and x. */
- float sy; /* Estimate of 1/2g (overestimated by 1ulp). */
- float sy2; /* 2*sy */
- float e; /* Difference between y*g and 1/2 (note that e==se). */
- float shx; /* == sx * fsg */
- float fsg; /* sg*fsg == g. */
- fenv_t fe; /* Saved floating-point environment (stores rounding
- mode and whether the inexact exception is
- enabled). */
- uint32_t xi, sxi, fsgi;
- const float *t_sqrt;
-
- GET_FLOAT_WORD (xi, x);
- fe = fegetenv_register ();
- relax_fenv_state ();
- sxi = (xi & 0x3fffffff) | 0x3f000000;
- SET_FLOAT_WORD (sx, sxi);
- t_sqrt = __t_sqrt + (xi >> (23 - 8 - 1) & 0x3fe);
- sg = t_sqrt[0];
- sy = t_sqrt[1];
-
- /* Here we have three Newton-Raphson iterations each of a
- division and a square root and the remainder of the
- argument reduction, all interleaved. */
- sd = -__builtin_fmaf (sg, sg, -sx);
- fsgi = (xi + 0x40000000) >> 1 & 0x7f800000;
- sy2 = sy + sy;
- sg = __builtin_fmaf (sy, sd, sg); /* 16-bit approximation to
- sqrt(sx). */
- e = -__builtin_fmaf (sy, sg, -almost_half);
- SET_FLOAT_WORD (fsg, fsgi);
- sd = -__builtin_fmaf (sg, sg, -sx);
- sy = __builtin_fmaf (e, sy2, sy);
- if ((xi & 0x7f800000) == 0)
- goto denorm;
- shx = sx * fsg;
- sg = __builtin_fmaf (sy, sd, sg); /* 32-bit approximation to
- sqrt(sx), but perhaps
- rounded incorrectly. */
- sy2 = sy + sy;
- g = sg * fsg;
- e = -__builtin_fmaf (sy, sg, -almost_half);
- d = -__builtin_fmaf (g, sg, -shx);
- sy = __builtin_fmaf (e, sy2, sy);
- fesetenv_register (fe);
- return __builtin_fmaf (sy, d, g);
- denorm:
- /* For denormalised numbers, we normalise, calculate the
- square root, and return an adjusted result. */
- fesetenv_register (fe);
- return __slow_ieee754_sqrtf (x * two48) * twom24;
- }
- }
- else if (x < 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);
- x = a_nan.value;
- }
- return f_washf (x);
-}
-#endif /* _ARCH_PPCSQ */
-
-#undef __ieee754_sqrtf
-float
-__ieee754_sqrtf (float x)
-{
- double z;
-
-#ifdef _ARCH_PPCSQ
- asm ("fsqrts %0,%1\n" :"=f" (z):"f" (x));
-#else
- z = __slow_ieee754_sqrtf (x);
-#endif
-
- return z;
-}
-strong_alias (__ieee754_sqrtf, __sqrtf_finite)