nuttx/libc/math/lib_logf.c

80 lines
2.2 KiB
C

/****************************************************************************
* libc/math/lib_logf.c
*
* This file is a part of NuttX:
*
* Copyright (C) 2012 Gregory Nutt. All rights reserved.
* Ported by: Darcy Gong
*
* It derives from the Rhombs OS math library by Nick Johnson which has
* a compatibile, MIT-style license:
*
* Copyright (C) 2009, 2010 Nick Johnson <nickbjohnson4224 at gmail.com>
*
* Permission to use, copy, modify, and distribute this software for any
* purpose with or without fee is hereby granted, provided that the above
* copyright notice and this permission notice appear in all copies.
*
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
* ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
* ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
* OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*
****************************************************************************/
/****************************************************************************
* Included Files
****************************************************************************/
#include <math.h>
#include <float.h>
#define FLT_MAX_EXP_X 88.0F
/****************************************************************************
* Public Functions
****************************************************************************/
float logf(float x)
{
float y, y_old, ey, epsilon;
y = 0.0F;
y_old = 1.0F;
epsilon = FLT_EPSILON;
while (y > y_old + epsilon || y < y_old - epsilon)
{
y_old = y;
ey = exp(y);
y -= (ey - x) / ey;
if (y > FLT_MAX_EXP_X)
{
y = FLT_MAX_EXP_X;
}
if (y < -FLT_MAX_EXP_X)
{
y = -FLT_MAX_EXP_X;
}
epsilon = (fabsf(y) > 1.0F) ? fabsf(y) * FLT_EPSILON : FLT_EPSILON;
}
if (y == FLT_MAX_EXP_X)
{
return INFINITY;
}
if (y == -FLT_MAX_EXP_X)
{
return INFINITY;
}
return y;
}