incubator-nuttx/libc/math/lib_libexpif.c

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/****************************************************************************
* libc/math/lib_libexpif.c
*
* This file is a part of NuttX:
*
* Copyright (C) 2016 Gregory Nutt. All rights reserved.
* Ported by: Darcy Gong/Gregory Nutt
*
* It derives from the Rhombus OS math library by Nick Johnson which has
* a compatibile, MIT-style license:
*
* Copyright (C) 2009-2011 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 <nuttx/config.h>
#include <nuttx/compiler.h>
#include <sys/types.h>
#include <math.h>
/****************************************************************************
* Public Functions
****************************************************************************/
/****************************************************************************
* Pre-processor Definitions
****************************************************************************/
#define M_E2 (M_E * M_E)
#define M_E4 (M_E2 * M_E2)
#define M_E8 (M_E4 * M_E4)
#define M_E16 (M_E8 * M_E8)
#define M_E32 (M_E16 * M_E16)
#define M_E64 (M_E32 * M_E32)
/****************************************************************************
* Private Data
****************************************************************************/
/* Values above M_E64 will never be used since its larger than FLT_MAX
*(3.402823e+38).
*/
static const float g_expif_square_tbl[] =
{
(float)M_E, /* e^1 */
(float)M_E2, /* e^2 */
(float)M_E4, /* e^4 */
(float)M_E8, /* e^8 */
(float)M_E16, /* e^16 */
(float)M_E32, /* e^32 */
(float)M_E64 /* e^64 */
};
/****************************************************************************
* Public Functions
****************************************************************************/
float lib_expif(size_t n)
{
size_t i;
float val;
/* The largest calculable value for n is floor(ln(FLT_MAX)) */
if (n > 88)
{
return INFINITY_F;
}
val = 1.0F;
for (i = 0; n != 0; i++)
{
if ((n & (1 << i)) != 0)
{
n &= ~(1 << i);
val *= g_expif_square_tbl[i];
}
}
return val;
}