osprey/libm/vlog10f.c

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/*
 * Copyright 2003, 2004, 2005, 2006 PathScale, Inc.  All Rights Reserved.
 */

/*

  Copyright (C) 2000, 2001 Silicon Graphics, Inc.  All Rights Reserved.

  This program is free software; you can redistribute it and/or modify it
  under the terms of version 2.1 of the GNU Lesser General Public License 
  as published by the Free Software Foundation.

  This program is distributed in the hope that it would be useful, but
  WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  

  Further, this software is distributed without any warranty that it is
  free of the rightful claim of any third person regarding infringement 
  or the like.  Any license provided herein, whether implied or 
  otherwise, applies only to this software file.  Patent licenses, if
  any, provided herein do not apply to combinations of this program with 
  other software, or any other product whatsoever.  

  You should have received a copy of the GNU Lesser General Public 
  License along with this program; if not, write the Free Software 
  Foundation, Inc., 59 Temple Place - Suite 330, Boston MA 02111-1307, 
  USA.

  Contact information:  Silicon Graphics, Inc., 1600 Amphitheatre Pky,
  Mountain View, CA 94043, or:

  http://www.sgi.com

  For further information regarding this notice, see:

  http://oss.sgi.com/projects/GenInfo/NoticeExplan

*/


/* ====================================================================
 * ====================================================================
 *
 * Module: vlog10f.c
 * $Revision: 1.5 $
 * $Date: 04/12/21 14:58:20-08:00 $
 * $Author: bos@eng-25.internal.keyresearch.com $
 * $Source: /home/bos/bk/kpro64-pending/libm/SCCS/s.vlog10f.c $
 *
 * Revision history:
 *  05-Feb-96 - Original Version
 *
 * Description: source code for vector common log function
 *
 * ====================================================================
 * ====================================================================
 */

static char *rcs_id = "$Source: /home/bos/bk/kpro64-pending/libm/SCCS/s.vlog10f.c $ $Revision: 1.5 $";

#include "libm.h"

extern  const du        __log_ru[];
extern  const du        _logtab[];

#if defined(mips) && !defined(__GNUC__)
extern  void  vflog10(float *, float *, long, long, long);
extern  void  vlog10f(float *, float *, long, long, long);

#pragma weak vflog10 = __vlog10f
#pragma weak vlog10f = __vlog10f
#endif

#if defined(BUILD_OS_DARWIN) /* Mach-O doesn't support aliases */
extern void __vlog10f( float *x, float *y, long count, long stridex,
  long stridey );
#pragma weak vlog10f
void vlog10f( float *x, float *y, long count, long stridex, long stridey ) {
  __vlog10f(x, y, count, stridex, stridey);
}
#elif defined(__GNUC__)
extern  void  __vlog10f(float *, float *, long, long, long);
void    vlog10f() __attribute__ ((weak, alias ("__vlog10f")));
#endif

static const du log2 =
{D(0x3fe62e42, 0xfefa39ef)};

static const du Loge =
{D(0x3fdbcb7b, 0x1526e50e)};

/* coefficients for polynomial approximation of log(1 + t) on +/- 1/256   */

static const du P[] =
{
{D(0x3fefffff, 0xffff6666)},
{D(0xbfe00006, 0x000349d2)},
{D(0x3fd55561, 0x555d346b)},
};

static const int twop7 = {0x43000000};

static const fu twopm7 = {0x3c000000};

static const fu Scaleup = {0x4b000000};

static const  fu  Qnan = {QNANF};

static const fu Inf = {0x7f800000};

static const fu Neginf = {0xff800000};

#define MAXEXP  0xffu

#define MINEXP  0x01u


/* ====================================================================
 *
 * FunctionName   vlog10f
 *
 * Description    computes vector common logarithm of arg
 *
 * ====================================================================
 */

#ifdef _SW_PIPELINE

/* If compiler supports software pipelining, use this algorithm; note that
 * denormal args are not supported.
 */

void
__vlog10f( float *x, float *y, long count, long stridex, long stridey )
{
long  i;
unsigned int j;
unsigned int ix;
int m;
int k;
float u;
double  t;
double  xmu;
double  q;
double  l_lead;
float w;
float result;

  /* i = 0, 1, ..., count-1; y[i*stridey] = log10f(x[i*stridex])  */

  for ( i=0; i<count; i++ )
  {
#ifdef _PREFETCH
#pragma prefetch_ref=*(x+8)
#pragma prefetch_ref=*(y+8)
#endif

    /* extract exponent and sign of x for some quick screening */

    ix = *(unsigned int *)x;  /* copy arg to an int */

    m = (ix >> MANTWIDTH);    /* shift off mantissa */
    j = m - MINEXP;

    m -= EXPBIAS;

    /* normalize x and compute the nearest 1/128th to x */
  
    ix &= (SIGNMASK & EXPMASK); /* mask off sign and exponent
             * bits of x
             */
    ix |= twop7;  /* set exponent of x to 0x430 */

    INT2FLT(ix, w); /* copy scaled arg to a float */
  
    k = ROUNDF(w);
  
    u = k;
  
    k -= 128;
  
    xmu = twopm7.f*(w - u);
  
    t = __log_ru[k].d*xmu;
  
    /* avoid loss of significance for values of x near two
       by adjusting index; effectively u is divided by two.
       The logtable has been adjusted for this.
    */
  
    if ( k > 64 )
      m++;
  
    q = ((P[2].d*t + P[1].d)*t + P[0].d);
  
    l_lead = _logtab[k].d;
  
    l_lead += m*log2.d;
  
    result = (l_lead + q*t)*Loge.d;

    /* take care of negative args, NaNs, and Infinities     */

    if ( j >= (MAXEXP - MINEXP) )
      result = Qnan.f;

    if ( *x == 0.0f )
      result = Neginf.f;

    if ( *x == Inf.f )
      result = Inf.f;

    *y = result;

    x += stridex;
    y += stridey;
  }
}

#else

void
__vlog10f( float *x, float *y, long count, long stridex, long stridey )
{
long  i;
unsigned int j;
unsigned int ix;
int m;
int k;
float u;
double  t;
double  xmu;
double  q;
double  l_lead;
float w, z;
float result;

  /* i = 0, 1, ..., count-1; y[i*stridey] = log10f(x[i*stridex])  */

  for ( i=0; i<count; i++ )
  {
    /* extract exponent and sign of x for some quick screening */

    w = z = *x;

    FLT2INT(w, ix);

    m = (ix >> MANTWIDTH);    /* shift off mantissa */
    j = m;

    if ( m == 0 )
    {
      z *= Scaleup.f;
      w = z;

      FLT2INT(w, ix); /* copy scaled arg to an int   */
      m = (ix >> MANTWIDTH); /* shift off mantissa  */
      m -= 23;  /* adjust for scaling */
    }

    m -= EXPBIAS;

    /* normalize x and compute the nearest 1/128th to x */
  
    ix &= (SIGNMASK & EXPMASK); /* mask off sign and exponent
             * bits of x
             */
    ix |= twop7;  /* set exponent of x to 0x430 */

    INT2FLT(ix, w); /* copy scaled arg to a float */
  
    k = ROUNDF(w);
  
    u = k;
  
    k -= 128;
  
    xmu = twopm7.f*(w - u);
  
    t = __log_ru[k].d*xmu;
  
    /* avoid loss of significance for values of x near two
       by adjusting index; effectively u is divided by two.
       The logtable has been adjusted for this.
    */
  
    if ( k > 64 )
      m++;
  
    q = ((P[2].d*t + P[1].d)*t + P[0].d);
  
    l_lead = _logtab[k].d;
  
    l_lead += m*log2.d;
  
    result = (l_lead + q*t)*Loge.d;

    /* take care of negative args, NaNs, and Infinities     */

    if ( j >= MAXEXP )
      result = Qnan.f;

    if ( z == 0.0f )
      result = Neginf.f;

    if ( z == Inf.f )
      result = Inf.f;

    *y = result;

    x += stridex;
    y += stridey;
  }
}
#endif

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