#ifndef FASTLOG_INCLUDED
#define FASTLOG_INCLUDED

/*=====================================================================*
 *                   Copyright (C) 2012 Paul Mineiro                   *
 * All rights reserved.                                                *
 *                                                                     *
 * Redistribution and use in source and binary forms, with             *
 * or without modification, are permitted provided that the            *
 * following conditions are met:                                       *
 *                                                                     *
 *     * Redistributions of source code must retain the                *
 *     above copyright notice, this list of conditions and             *
 *     the following disclaimer.                                       *
 *                                                                     *
 *     * Redistributions in binary form must reproduce the             *
 *     above copyright notice, this list of conditions and             *
 *     the following disclaimer in the documentation and/or            *
 *     other materials provided with the distribution.                 *
 *                                                                     *
 *     * Neither the name of Paul Mineiro nor the names                *
 *     of other contributors may be used to endorse or promote         *
 *     products derived from this software without specific            *
 *     prior written permission.                                       *
 *                                                                     *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND              *
 * CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,         *
 * INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES               *
 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE             *
 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER               *
 * OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,                 *
 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES            *
 * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE           *
 * GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR                *
 * BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF          *
 * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT           *
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY              *
 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE             *
 * POSSIBILITY OF SUCH DAMAGE.                                         *
 *                                                                     *
 * Contact: Paul Mineiro <paul@mineiro.com>                            *
 *=====================================================================*/


#include <stdint.h>
#define cast_uint32_t (uint32_t)

/* Underflow of exponential is common practice in numerical routines,
   so handle it here. */

static inline float
fastpow2 (float p)
{
  float offset = (p < 0) ? 1.0f : 0.0f;
  float clipp = (p < -126) ? -126.0f : p;
  int w = clipp;
  float z = clipp - w + offset;
  union { uint32_t i; float f; } v = { cast_uint32_t ( (1 << 23) * (clipp + 121.2740575f + 27.7280233f / (4.84252568f - z) - 1.49012907f * z) ) };

  return v.f;
}

static inline float
fastexp (float p)
{
  return fastpow2 (1.442695040f * p);
}

static inline float
fasterpow2 (float p)
{
  float clipp = (p < -126) ? -126.0f : p;
  union { uint32_t i; float f; } v = { cast_uint32_t ( (1 << 23) * (clipp + 126.94269504f) ) };
  return v.f;
}

static inline float
fasterexp (float p)
{
  return fasterpow2 (1.442695040f * p);
}



static inline float 
fastlog2 (float x)
{
  union { float f; uint32_t i; } vx = { x };
  union { uint32_t i; float f; } mx = { (vx.i & 0x007FFFFF) | 0x3f000000 };
  float y = vx.i;
  y *= 1.1920928955078125e-7f;

  return y - 124.22551499f
           - 1.498030302f * mx.f 
           - 1.72587999f / (0.3520887068f + mx.f);
}

static inline float
fastlog (float x)
{
  return 0.69314718f * fastlog2 (x);
}

static inline float 
fasterlog2 (float x)
{
  union { float f; uint32_t i; } vx = { x };
  float y = vx.i;
  y *= 1.1920928955078125e-7f;
  return y - 126.94269504f;
}

static inline float
fasterlog (float x)
{
  /* return 0.69314718f * fasterlog2 (x); */

  union { float f; uint32_t i; } vx = { x };
  float y = vx.i;
  y *= 8.2629582881927490e-8f;
  return y - 87.989971088f;
}

#endif