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authorUlrich Drepper <drepper@redhat.com>1999-07-14 00:54:57 +0000
committerUlrich Drepper <drepper@redhat.com>1999-07-14 00:54:57 +0000
commitabfbdde177c3a7155070dda1b2cdc8292054cc26 (patch)
treee021306b596381fbf8311d2b7eb294e918ff17c8 /sysdeps/libm-ieee754/s_exp2f.c
parent86421aa57ecfd70963ae66848bd6a6dd3b8e0fe6 (diff)
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Update.
Diffstat (limited to 'sysdeps/libm-ieee754/s_exp2f.c')
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diff --git a/sysdeps/libm-ieee754/s_exp2f.c b/sysdeps/libm-ieee754/s_exp2f.c
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@@ -1,127 +0,0 @@
-/* Single-precision floating point 2^x.
-   Copyright (C) 1997, 1998 Free Software Foundation, Inc.
-   This file is part of the GNU C Library.
-   Contributed by Geoffrey Keating <geoffk@ozemail.com.au>
-
-   The GNU C Library is free software; you can redistribute it and/or
-   modify it under the terms of the GNU Library General Public License as
-   published by the Free Software Foundation; either version 2 of the
-   License, or (at your option) any later version.
-
-   The GNU C Library is distributed in the hope that it will be useful,
-   but WITHOUT ANY WARRANTY; without even the implied warranty of
-   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
-   Library General Public License for more details.
-
-   You should have received a copy of the GNU Library General Public
-   License along with the GNU C Library; see the file COPYING.LIB.  If not,
-   write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
-   Boston, MA 02111-1307, USA.  */
-
-/* The basic design here is from
-   Shmuel Gal and Boris Bachelis, "An Accurate Elementary Mathematical
-   Library for the IEEE Floating Point Standard", ACM Trans. Math. Soft.,
-   17 (1), March 1991, pp. 26-45.
-   It has been slightly modified to compute 2^x instead of e^x, and for
-   single-precision.
-   */
-#ifndef _GNU_SOURCE
-# define _GNU_SOURCE
-#endif
-#include <float.h>
-#include <ieee754.h>
-#include <math.h>
-#include <fenv.h>
-#include <inttypes.h>
-#include <math_private.h>
-
-#include "t_exp2f.h"
-
-static const volatile float TWOM100 = 7.88860905e-31;
-static const volatile float TWO127 = 1.7014118346e+38;
-
-float
-__ieee754_exp2f (float x)
-{
-  static const float himark = (float) FLT_MAX_EXP;
-  static const float lomark = (float) (FLT_MIN_EXP - FLT_MANT_DIG - 1) - 1.0;
-
-  /* Check for usual case.  */
-  if (isless (x, himark) && isgreater (x, lomark))
-    {
-      static const float THREEp14 = 49152.0;
-      int tval, unsafe;
-      float rx, x22, result;
-      union ieee754_float ex2_u, scale_u;
-      fenv_t oldenv;
-
-      feholdexcept (&oldenv);
-#ifdef FE_TONEAREST
-      /* If we don't have this, it's too bad.  */
-      fesetround (FE_TONEAREST);
-#endif
-
-      /* 1. Argument reduction.
-	 Choose integers ex, -128 <= t < 128, and some real
-	 -1/512 <= x1 <= 1/512 so that
-	 x = ex + t/512 + x1.
-
-	 First, calculate rx = ex + t/256.  */
-      rx = x + THREEp14;
-      rx -= THREEp14;
-      x -= rx;  /* Compute x=x1. */
-      /* Compute tval = (ex*256 + t)+128.
-	 Now, t = (tval mod 256)-128 and ex=tval/256  [that's mod, NOT %; and
-	 /-round-to-nearest not the usual c integer /].  */
-      tval = (int) (rx * 256.0f + 128.0f);
-
-      /* 2. Adjust for accurate table entry.
-	 Find e so that
-	 x = ex + t/256 + e + x2
-	 where -7e-4 < e < 7e-4, and
-	 (float)(2^(t/256+e))
-	 is accurate to one part in 2^-64.  */
-
-      /* 'tval & 255' is the same as 'tval%256' except that it's always
-	 positive.
-	 Compute x = x2.  */
-      x -= __exp2f_deltatable[tval & 255];
-
-      /* 3. Compute ex2 = 2^(t/255+e+ex).  */
-      ex2_u.f = __exp2f_atable[tval & 255];
-      tval >>= 8;
-      unsafe = abs(tval) >= -FLT_MIN_EXP - 1;
-      ex2_u.ieee.exponent += tval >> unsafe;
-      scale_u.f = 1.0;
-      scale_u.ieee.exponent += tval - (tval >> unsafe);
-
-      /* 4. Approximate 2^x2 - 1, using a second-degree polynomial,
-	 with maximum error in [-2^-9 - 2^-14, 2^-9 + 2^-14]
-	 less than 1.3e-10.  */
-
-      x22 = (.24022656679f * x + .69314736128f) * ex2_u.f;
-
-      /* 5. Return (2^x2-1) * 2^(t/512+e+ex) + 2^(t/512+e+ex).  */
-      fesetenv (&oldenv);
-
-      result = x22 * x + ex2_u.f;
-
-      if (!unsafe)
-	return result;
-      else
-	return result * scale_u.f;
-    }
-  /* Exceptional cases:  */
-  else if (isless (x, himark))
-    {
-      if (__isinff (x))
-	/* e^-inf == 0, with no error.  */
-	return 0;
-      else
-	/* Underflow */
-	return TWOM100 * TWOM100;
-    }
-  else
-    /* Return x, if x is a NaN or Inf; or overflow, otherwise.  */
-    return TWO127*x;
-}