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tanhl.c

/**
 * This file has no copyright assigned and is placed in the Public Domain.
 * This file is part of the w64 mingw-runtime package.
 * No warranty is given; refer to the file DISCLAIMER.PD within this package.
 */
#include "cephes_mconf.h"
#ifndef _SET_ERRNO
#define _SET_ERRNO(x)
#endif

#ifdef UNK
static uLD P[] = {
  { { -6.8473739392677100872869E-5L } },
  { { -9.5658283111794641589011E-1L } },
  { { -8.4053568599672284488465E1L } },
  { { -1.3080425704712825945553E3L } }
};
static uLD Q[] = {
  { { 9.6259501838840336946872E1L } },
  { { 1.8218117903645559060232E3L } },
  { { 3.9241277114138477845780E3L } }
};
#endif

#ifdef IBMPC
static uLD P[] = {
  { { 0xd2a4,0x1b0c,0x8f15,0x8f99,0xbff1, 0, 0, 0 } },
  { { 0x5959,0x9111,0x9cc7,0xf4e2,0xbffe, 0, 0, 0 } },
  { { 0xb576,0xef5e,0x6d57,0xa81b,0xc005, 0, 0, 0 } },
  { { 0xe3be,0xbfbd,0x5cbc,0xa381,0xc009, 0, 0, 0 } }
};
static uLD Q[] = {
  { { 0x687f,0xce24,0xdd6c,0xc084,0x4005, 0, 0, 0 } },
  { { 0x3793,0xc95f,0xfa2f,0xe3b9,0x4009, 0, 0, 0 } },
  { { 0xd5a2,0x1f9c,0x0b1b,0xf542,0x400a, 0, 0, 0 } }
};
#endif

#ifdef MIEEE
static uLD P[] = {
  { { 0xbff10000,0x8f998f15,0x1b0cd2a4, 0 } },
  { { 0xbffe0000,0xf4e29cc7,0x91115959, 0 } },
  { { 0xc0050000,0xa81b6d57,0xef5eb576, 0 } },
  { { 0xc0090000,0xa3815cbc,0xbfbde3be, 0 } }
};
static uLD Q[] = {
  { { 0x40050000,0xc084dd6c,0xce24687f, 0 } },
  { { 0x40090000,0xe3b9fa2f,0xc95f3793, 0 } },
  { { 0x400a0000,0xf5420b1b,0x1f9cd5a2, 0 } }
};
#endif

long double tanhl(long double x)
{
  long double s, z;

#ifdef MINUSZERO
  if (x == 0.0L)
    return (x);
#endif
  if (isnanl(x))
  {
    _SET_ERRNO (EDOM);
    return x;
  }

  z = fabsl(x);
  if (z > 0.5L * MAXLOGL)
  {
    _SET_ERRNO (ERANGE);
    if (x > 0)
      return (1.0L);
    else
      return (-1.0L);
  }
  if (z >= 0.625L)
  {
    s = expl(2.0*z);
    z =  1.0L  - 2.0/(s + 1.0L);
    if (x < 0)
      z = -z;
  }
  else
  {
    s = x * x;
    z = polevll( s, P, 3 )/p1evll(s, Q, 3);
    z = x * s * z;
    z = x + z;
  }
  return (z);
}


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