Пример #1
0
long double
__sinhl (long double x)
{
	long double z = __ieee754_sinhl (x);
	if (__builtin_expect (!__finitel (z), 0) && __finitel (x)
	    && _LIB_VERSION != _IEEE_)
	    return __kernel_standard_l (x, x, 225); /* sinh overflow */

	return z;
}
Пример #2
0
/* wrapper expl */
long double
__expl (long double x)
{
  long double z = __ieee754_expl (x);
  if (__builtin_expect (!__finitel (z) || z == 0, 0)
      && __finitel (x) && _LIB_VERSION != _IEEE_)
    return __kernel_standard_l (x, x, 206 + !!__signbitl (x));

  return z;
}
Пример #3
0
long double
__exp10l (long double x)
{
  long double z = __ieee754_exp10l (x);
  if (__builtin_expect (!__finitel (z), 0)
      && __finitel (x) && _LIB_VERSION != _IEEE_)
    /* exp10l overflow (246) if x > 0, underflow (247) if x < 0.  */
    return __kernel_standard_l (x, x, 246 + !!__signbitl (x));

  return z;
}
Пример #4
0
long double
__hypotl(long double x, long double y)
{
	long double z;
	z = __ieee754_hypotl(x,y);
	if(__builtin_expect(!__finitel(z), 0)
	   && __finitel(x) && __finitel(y) && _LIB_VERSION != _IEEE_)
	    return __kernel_standard(x, y, 204); /* hypot overflow */

	return z;
}
Пример #5
0
/* wrapper powl */
long double
__powl (long double x, long double y)
{
  long double z = __ieee754_powl (x, y);
  if (__builtin_expect (!__finitel (z), 0))
    {
      if (_LIB_VERSION != _IEEE_)
	{
	  if (__isnanl (x))
	    {
	      if (y == 0.0L)
		/* pow(NaN,0.0) */
		return __kernel_standard_l (x, y, 242);
	    }
	  else if (__finitel (x) && __finitel (y))
	    {
	      if (__isnanl (z))
		/* pow neg**non-int */
		return __kernel_standard_l (x, y, 224);
	      else if (x == 0.0L && y < 0.0L)
		{
		  if (signbit (x) && signbit (z))
		    /* pow(-0.0,negative) */
		    return __kernel_standard_l (x, y, 223);
		  else
		    /* pow(+0.0,negative) */
		    return __kernel_standard_l (x, y, 243);
		}
	      else
		/* pow overflow */
		return __kernel_standard_l (x, y, 221);
	    }
	}
    }
  else if (__builtin_expect (z == 0.0L, 0) && __finitel (x) && __finitel (y)
	   && _LIB_VERSION != _IEEE_)
    {
      if (x == 0.0L)
	{
	  if (y == 0.0L)
	    /* pow(0.0,0.0) */
	    return __kernel_standard_l (x, y, 220);
	}
      else
	/* pow underflow */
	return __kernel_standard_l (x, y, 222);
    }

  return z;
}
Пример #6
0
/* Wrapper scalbl */
long double
__scalbl (long double x, long double fn)
{
  if (__glibc_unlikely (_LIB_VERSION == _SVID_))
    return sysv_scalbl (x, fn);
  else
    {
      long double z = __ieee754_scalbl (x, fn);

      if (__glibc_unlikely (!__finitel (z) || z == 0.0L))
	{
	  if (__isnanl (z))
	    {
	      if (!__isnanl (x) && !__isnanl (fn))
		__set_errno (EDOM);
	    }
	  else if (__isinf_nsl (z))
	    {
	      if (!__isinf_nsl (x) && !__isinf_nsl (fn))
		__set_errno (ERANGE);
	    }
	  else
	    {
	      /* z == 0.  */
	      if (x != 0.0L && !__isinf_nsl (fn))
		__set_errno (ERANGE);
	    }
	}
      return z;
    }
}
Пример #7
0
long double
__lgammal(long double x)
{
	int local_signgam = 0;
	long double y = __ieee754_lgammal_r(x,
					    _LIB_VERSION != _ISOC_
					    /* ISO C99 does not define the
					       global variable.  */
					    ? &signgam
					    : &local_signgam);
	if(__builtin_expect(!__finitel(y), 0)
	   && __finitel(x) && _LIB_VERSION != _IEEE_)
		return __kernel_standard_l(x, x,
					   __floorl(x)==x&&x<=0.0L
					   ? 215 /* lgamma pole */
					   : 214); /* lgamma overflow */

	return y;
}
Пример #8
0
long double
__ieee754_exp10l (long double arg)
{
  if (__finitel (arg) && arg < LDBL_MIN_10_EXP - LDBL_DIG - 10)
    return LDBL_MIN * LDBL_MIN;
  else
    /* This is a very stupid and inprecise implementation.  It'll get
       replaced sometime (soon?).  */
    return __ieee754_expl (M_LN10l * arg);
}
Пример #9
0
sysv_scalbl (long double x, long double fn)
{
  long double z = __ieee754_scalbl (x, fn);

  if (__glibc_unlikely (__isinfl (z)))
    {
      if (__finitel (x))
	return __kernel_standard_l (x, fn, 232); /* scalb overflow */
      else
	__set_errno (ERANGE);
    }
  else if (__builtin_expect (z == 0.0L, 0) && z != x)
    return __kernel_standard_l (x, fn, 233); /* scalb underflow */

  return z;
}
Пример #10
0
long double
__ieee754_scalbl (long double x, long double fn)
{
  if (__builtin_expect (__isnanl (x), 0))
    return x * fn;
  if (__builtin_expect (!__finitel (fn), 0))
    {
      if (__isnanl (fn) || fn > 0.0L)
	return x * fn;
      if (x == 0.0L)
	return x;
      return x / -fn;
    }
  if (__builtin_expect ((long double) (int) fn != fn, 0))
    return invalid_fn (x, fn);

  return __scalbnl (x, (int) fn);
}
Пример #11
0
long double
__exp2l (long double x)			/* wrapper exp2l */
{
#ifdef _IEEE_LIBM
  return __ieee754_exp2l (x);
#else
  long double z;
  z = __ieee754_exp2l (x);
  if (_LIB_VERSION != _IEEE_ && __finitel (x))
    {
      if (x > o_threshold)
	return __kernel_standard (x, x, 244); /* exp2l overflow */
      else if (x <= u_threshold)
	return __kernel_standard (x, x, 245); /* exp2l underflow */
    }
  return z;
#endif
}
Пример #12
0
long double
__ieee754_scalbl (long double x, long double fn)
{
  if (__glibc_unlikely (__isnanl (x)))
    return x * fn;
  if (__glibc_unlikely (!__finitel (fn)))
    {
      if (__isnanl (fn) || fn > 0.0L)
	return x * fn;
      if (x == 0.0L)
	return x;
      return x / -fn;
    }
  if (__glibc_unlikely ((long double) (int) fn != fn))
    return invalid_fn (x, fn);

  return __scalbnl (x, (int) fn);
}
Пример #13
0
long double
__ieee754_exp10l (long double arg)
{
  union ibm_extended_long_double u;
  long double arg_high, arg_low;
  long double exp_high, exp_low;

  if (!__finitel (arg))
    return __ieee754_expl (arg);
  if (arg < LDBL_MIN_10_EXP - LDBL_DIG - 10)
    return LDBL_MIN * LDBL_MIN;
  else if (arg > LDBL_MAX_10_EXP + 1)
    return LDBL_MAX * LDBL_MAX;
  else if (fabsl (arg) < 0x1p-109L)
    return 1.0L;

  u.ld = arg;
  arg_high = u.d[0].d;
  arg_low = u.d[1].d;
  exp_high = arg_high * log10_high;
  exp_low = arg_high * log10_low + arg_low * M_LN10l;
  return __ieee754_expl (exp_high) * __ieee754_expl (exp_low);
}
Пример #14
0
long double
__ieee754_j0l (long double x)
{
  long double xx, xinv, z, p, q, c, s, cc, ss;

  if (! __finitel (x))
    {
      if (x != x)
	return x;
      else
	return 0.0L;
    }
  if (x == 0.0L)
    return 1.0L;

  xx = fabsl (x);
  if (xx <= 2.0L)
    {
      /* 0 <= x <= 2 */
      z = xx * xx;
      p = z * z * neval (z, J0_2N, NJ0_2N) / deval (z, J0_2D, NJ0_2D);
      p -= 0.25L * z;
      p += 1.0L;
      return p;
    }

  xinv = 1.0L / xx;
  z = xinv * xinv;
  if (xinv <= 0.25)
    {
      if (xinv <= 0.125)
	{
	  if (xinv <= 0.0625)
	    {
	      p = neval (z, P16_IN, NP16_IN) / deval (z, P16_ID, NP16_ID);
	      q = neval (z, Q16_IN, NQ16_IN) / deval (z, Q16_ID, NQ16_ID);
	    }
	  else
	    {
	      p = neval (z, P8_16N, NP8_16N) / deval (z, P8_16D, NP8_16D);
	      q = neval (z, Q8_16N, NQ8_16N) / deval (z, Q8_16D, NQ8_16D);
	    }
	}
      else if (xinv <= 0.1875)
	{
	  p = neval (z, P5_8N, NP5_8N) / deval (z, P5_8D, NP5_8D);
	  q = neval (z, Q5_8N, NQ5_8N) / deval (z, Q5_8D, NQ5_8D);
	}
      else
	{
	  p = neval (z, P4_5N, NP4_5N) / deval (z, P4_5D, NP4_5D);
	  q = neval (z, Q4_5N, NQ4_5N) / deval (z, Q4_5D, NQ4_5D);
	}
    }				/* .25 */
  else /* if (xinv <= 0.5) */
    {
      if (xinv <= 0.375)
	{
	  if (xinv <= 0.3125)
	    {
	      p = neval (z, P3r2_4N, NP3r2_4N) / deval (z, P3r2_4D, NP3r2_4D);
	      q = neval (z, Q3r2_4N, NQ3r2_4N) / deval (z, Q3r2_4D, NQ3r2_4D);
	    }
	  else
	    {
	      p = neval (z, P2r7_3r2N, NP2r7_3r2N)
		  / deval (z, P2r7_3r2D, NP2r7_3r2D);
	      q = neval (z, Q2r7_3r2N, NQ2r7_3r2N)
		  / deval (z, Q2r7_3r2D, NQ2r7_3r2D);
	    }
	}
      else if (xinv <= 0.4375)
	{
	  p = neval (z, P2r3_2r7N, NP2r3_2r7N)
	      / deval (z, P2r3_2r7D, NP2r3_2r7D);
	  q = neval (z, Q2r3_2r7N, NQ2r3_2r7N)
	      / deval (z, Q2r3_2r7D, NQ2r3_2r7D);
	}
      else
	{
	  p = neval (z, P2_2r3N, NP2_2r3N) / deval (z, P2_2r3D, NP2_2r3D);
	  q = neval (z, Q2_2r3N, NQ2_2r3N) / deval (z, Q2_2r3D, NQ2_2r3D);
	}
    }
  p = 1.0L + z * p;
  q = z * xinv * q;
  q = q - 0.125L * xinv;
  /* X = x - pi/4
     cos(X) = cos(x) cos(pi/4) + sin(x) sin(pi/4)
     = 1/sqrt(2) * (cos(x) + sin(x))
     sin(X) = sin(x) cos(pi/4) - cos(x) sin(pi/4)
     = 1/sqrt(2) * (sin(x) - cos(x))
     sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
     cf. Fdlibm.  */
  __sincosl (xx, &s, &c);
  ss = s - c;
  cc = s + c;
  z = -__cosl (xx + xx);
  if ((s * c) < 0)
    cc = z / ss;
  else
    ss = z / cc;
  z = ONEOSQPI * (p * cc - q * ss) / __ieee754_sqrtl (xx);
  return z;
}
Пример #15
0
Файл: e_j1l.c Проект: dreal/tai
long double
__ieee754_y1l (long double x)
{
  long double xx, xinv, z, p, q, c, s, cc, ss;

  if (! __finitel (x))
    {
      if (x != x)
	return x;
      else
	return 0.0L;
    }
  if (x <= 0.0L)
    {
      if (x < 0.0L)
	return (zero / (zero * x));
      return -HUGE_VALL + x;
    }
  xx = fabsl (x);
  if (xx <= 2.0L)
    {
      /* 0 <= x <= 2 */
      z = xx * xx;
      p = xx * neval (z, Y0_2N, NY0_2N) / deval (z, Y0_2D, NY0_2D);
      p = -TWOOPI / xx + p;
      p = TWOOPI * __ieee754_logl (x) * __ieee754_j1l (x) + p;
      return p;
    }

  xinv = 1.0L / xx;
  z = xinv * xinv;
  if (xinv <= 0.25)
    {
      if (xinv <= 0.125)
	{
	  if (xinv <= 0.0625)
	    {
	      p = neval (z, P16_IN, NP16_IN) / deval (z, P16_ID, NP16_ID);
	      q = neval (z, Q16_IN, NQ16_IN) / deval (z, Q16_ID, NQ16_ID);
	    }
	  else
	    {
	      p = neval (z, P8_16N, NP8_16N) / deval (z, P8_16D, NP8_16D);
	      q = neval (z, Q8_16N, NQ8_16N) / deval (z, Q8_16D, NQ8_16D);
	    }
	}
      else if (xinv <= 0.1875)
	{
	  p = neval (z, P5_8N, NP5_8N) / deval (z, P5_8D, NP5_8D);
	  q = neval (z, Q5_8N, NQ5_8N) / deval (z, Q5_8D, NQ5_8D);
	}
      else
	{
	  p = neval (z, P4_5N, NP4_5N) / deval (z, P4_5D, NP4_5D);
	  q = neval (z, Q4_5N, NQ4_5N) / deval (z, Q4_5D, NQ4_5D);
	}
    }				/* .25 */
  else /* if (xinv <= 0.5) */
    {
      if (xinv <= 0.375)
	{
	  if (xinv <= 0.3125)
	    {
	      p = neval (z, P3r2_4N, NP3r2_4N) / deval (z, P3r2_4D, NP3r2_4D);
	      q = neval (z, Q3r2_4N, NQ3r2_4N) / deval (z, Q3r2_4D, NQ3r2_4D);
	    }
	  else
	    {
	      p = neval (z, P2r7_3r2N, NP2r7_3r2N)
		  / deval (z, P2r7_3r2D, NP2r7_3r2D);
	      q = neval (z, Q2r7_3r2N, NQ2r7_3r2N)
		  / deval (z, Q2r7_3r2D, NQ2r7_3r2D);
	    }
	}
      else if (xinv <= 0.4375)
	{
	  p = neval (z, P2r3_2r7N, NP2r3_2r7N)
	      / deval (z, P2r3_2r7D, NP2r3_2r7D);
	  q = neval (z, Q2r3_2r7N, NQ2r3_2r7N)
	      / deval (z, Q2r3_2r7D, NQ2r3_2r7D);
	}
      else
	{
	  p = neval (z, P2_2r3N, NP2_2r3N) / deval (z, P2_2r3D, NP2_2r3D);
	  q = neval (z, Q2_2r3N, NQ2_2r3N) / deval (z, Q2_2r3D, NQ2_2r3D);
	}
    }
  p = 1.0L + z * p;
  q = z * q;
  q = q * xinv + 0.375L * xinv;
  /* X = x - 3 pi/4
     cos(X) = cos(x) cos(3 pi/4) + sin(x) sin(3 pi/4)
     = 1/sqrt(2) * (-cos(x) + sin(x))
     sin(X) = sin(x) cos(3 pi/4) - cos(x) sin(3 pi/4)
     = -1/sqrt(2) * (sin(x) + cos(x))
     cf. Fdlibm.  */
  __sincosl (xx, &s, &c);
  ss = -s - c;
  cc = s - c;
  z = __cosl (xx + xx);
  if ((s * c) > 0)
    cc = z / ss;
  else
    ss = z / cc;
  z = ONEOSQPI * (p * ss + q * cc) / __ieee754_sqrtl (xx);
  return z;
}
Пример #16
0
long double
__cbrtl (long double x)
{
  int e, rem, sign;
  long double z;

  if (!__finitel (x))
    return x + x;

  if (x == 0)
    return (x);

  if (x > 0)
    sign = 1;
  else
    {
      sign = -1;
      x = -x;
    }

  z = x;
 /* extract power of 2, leaving mantissa between 0.5 and 1  */
  x = __frexpl (x, &e);

  /* Approximate cube root of number between .5 and 1,
     peak relative error = 1.2e-6  */
  x = ((((1.3584464340920900529734e-1L * x
	  - 6.3986917220457538402318e-1L) * x
	 + 1.2875551670318751538055e0L) * x
	- 1.4897083391357284957891e0L) * x
       + 1.3304961236013647092521e0L) * x + 3.7568280825958912391243e-1L;

  /* exponent divided by 3 */
  if (e >= 0)
    {
      rem = e;
      e /= 3;
      rem -= 3 * e;
      if (rem == 1)
	x *= CBRT2;
      else if (rem == 2)
	x *= CBRT4;
    }
  else
    {				/* argument less than 1 */
      e = -e;
      rem = e;
      e /= 3;
      rem -= 3 * e;
      if (rem == 1)
	x *= CBRT2I;
      else if (rem == 2)
	x *= CBRT4I;
      e = -e;
    }

  /* multiply by power of 2 */
  x = __ldexpl (x, e);

  /* Newton iteration */
  x -= (x - (z / (x * x))) * 0.3333333333333333333333333333333333333333L;
  x -= (x - (z / (x * x))) * 0.3333333333333333333333333333333333333333L;
  x -= (x - (z / (x * x))) * 0.3333333333333333333333333333333333333333L;

  if (sign < 0)
    x = -x;
  return (x);
}
Пример #17
0
long double
__ieee754_j1l (long double x)
{
  long double xx, xinv, z, p, q, c, s, cc, ss;

  if (! __finitel (x))
    {
      if (x != x)
	return x;
      else
	return 0.0L;
    }
  if (x == 0.0L)
    return x;
  xx = fabsl (x);
  if (xx <= 2.0L)
    {
      /* 0 <= x <= 2 */
      z = xx * xx;
      p = xx * z * neval (z, J0_2N, NJ0_2N) / deval (z, J0_2D, NJ0_2D);
      p += 0.5L * xx;
      if (x < 0)
	p = -p;
      return p;
    }

  /* X = x - 3 pi/4
     cos(X) = cos(x) cos(3 pi/4) + sin(x) sin(3 pi/4)
     = 1/sqrt(2) * (-cos(x) + sin(x))
     sin(X) = sin(x) cos(3 pi/4) - cos(x) sin(3 pi/4)
     = -1/sqrt(2) * (sin(x) + cos(x))
     cf. Fdlibm.  */
  __sincosl (xx, &s, &c);
  ss = -s - c;
  cc = s - c;
  if (xx <= LDBL_MAX / 2.0L)
    {
      z = __cosl (xx + xx);
      if ((s * c) > 0)
	cc = z / ss;
      else
	ss = z / cc;
    }

  if (xx > 0x1p256L)
    {
      z = ONEOSQPI * cc / __ieee754_sqrtl (xx);
      if (x < 0)
	z = -z;
      return z;
    }

  xinv = 1.0L / xx;
  z = xinv * xinv;
  if (xinv <= 0.25)
    {
      if (xinv <= 0.125)
	{
	  if (xinv <= 0.0625)
	    {
	      p = neval (z, P16_IN, NP16_IN) / deval (z, P16_ID, NP16_ID);
	      q = neval (z, Q16_IN, NQ16_IN) / deval (z, Q16_ID, NQ16_ID);
	    }
	  else
	    {
	      p = neval (z, P8_16N, NP8_16N) / deval (z, P8_16D, NP8_16D);
	      q = neval (z, Q8_16N, NQ8_16N) / deval (z, Q8_16D, NQ8_16D);
	    }
	}
      else if (xinv <= 0.1875)
	{
	  p = neval (z, P5_8N, NP5_8N) / deval (z, P5_8D, NP5_8D);
	  q = neval (z, Q5_8N, NQ5_8N) / deval (z, Q5_8D, NQ5_8D);
	}
      else
	{
	  p = neval (z, P4_5N, NP4_5N) / deval (z, P4_5D, NP4_5D);
	  q = neval (z, Q4_5N, NQ4_5N) / deval (z, Q4_5D, NQ4_5D);
	}
    }				/* .25 */
  else /* if (xinv <= 0.5) */
    {
      if (xinv <= 0.375)
	{
	  if (xinv <= 0.3125)
	    {
	      p = neval (z, P3r2_4N, NP3r2_4N) / deval (z, P3r2_4D, NP3r2_4D);
	      q = neval (z, Q3r2_4N, NQ3r2_4N) / deval (z, Q3r2_4D, NQ3r2_4D);
	    }
	  else
	    {
	      p = neval (z, P2r7_3r2N, NP2r7_3r2N)
		  / deval (z, P2r7_3r2D, NP2r7_3r2D);
	      q = neval (z, Q2r7_3r2N, NQ2r7_3r2N)
		  / deval (z, Q2r7_3r2D, NQ2r7_3r2D);
	    }
	}
      else if (xinv <= 0.4375)
	{
	  p = neval (z, P2r3_2r7N, NP2r3_2r7N)
	      / deval (z, P2r3_2r7D, NP2r3_2r7D);
	  q = neval (z, Q2r3_2r7N, NQ2r3_2r7N)
	      / deval (z, Q2r3_2r7D, NQ2r3_2r7D);
	}
      else
	{
	  p = neval (z, P2_2r3N, NP2_2r3N) / deval (z, P2_2r3D, NP2_2r3D);
	  q = neval (z, Q2_2r3N, NQ2_2r3N) / deval (z, Q2_2r3D, NQ2_2r3D);
	}
    }
  p = 1.0L + z * p;
  q = z * q;
  q = q * xinv + 0.375L * xinv;
  z = ONEOSQPI * (p * cc - q * ss) / __ieee754_sqrtl (xx);
  if (x < 0)
    z = -z;
  return z;
}
Пример #18
0
long double
__ieee754_lgammal_r (long double x, int *signgamp)
{
  long double p, q, w, z, nx;
  int i, nn;

  *signgamp = 1;

  if (! __finitel (x))
    return x * x;

  if (x == 0.0L)
    {
      if (__signbitl (x))
	*signgamp = -1;
    }

  if (x < 0.0L)
    {
      q = -x;
      p = __floorl (q);
      if (p == q)
	return (one / (p - p));
      i = p;
      if ((i & 1) == 0)
	*signgamp = -1;
      else
	*signgamp = 1;
      if (q < 0x1p-120L)
	return -__logl (q);
      z = q - p;
      if (z > 0.5L)
	{
	  p += 1.0L;
	  z = p - q;
	}
      z = q * __sinl (PIL * z);
      w = __ieee754_lgammal_r (q, &i);
      z = __logl (PIL / z) - w;
      return (z);
    }

  if (x < 13.5L)
    {
      p = 0.0L;
      nx = __floorl (x + 0.5L);
      nn = nx;
      switch (nn)
	{
	case 0:
	  /* log gamma (x + 1) = log(x) + log gamma(x) */
	  if (x < 0x1p-120L)
	    return -__logl (x);
	  else if (x <= 0.125)
	    {
	      p = x * neval (x, RN1, NRN1) / deval (x, RD1, NRD1);
	    }
	  else if (x <= 0.375)
	    {
	      z = x - 0.25L;
	      p = z * neval (z, RN1r25, NRN1r25) / deval (z, RD1r25, NRD1r25);
	      p += lgam1r25b;
	      p += lgam1r25a;
	    }
	  else if (x <= 0.625)
	    {
	      z = x + (1.0L - x0a);
	      z = z - x0b;
	      p = neval (z, RN1r5, NRN1r5) / deval (z, RD1r5, NRD1r5);
	      p = p * z * z;
	      p = p + y0b;
	      p = p + y0a;
	    }
	  else if (x <= 0.875)
	    {
	      z = x - 0.75L;
	      p = z * neval (z, RN1r75, NRN1r75) / deval (z, RD1r75, NRD1r75);
	      p += lgam1r75b;
	      p += lgam1r75a;
	    }
	  else
	    {
	      z = x - 1.0L;
	      p = z * neval (z, RN2, NRN2) / deval (z, RD2, NRD2);
	    }
	  p = p - __logl (x);
	  break;

	case 1:
	  if (x < 0.875L)
	    {
	      if (x <= 0.625)
		{
		  z = x + (1.0L - x0a);
		  z = z - x0b;
		  p = neval (z, RN1r5, NRN1r5) / deval (z, RD1r5, NRD1r5);
		  p = p * z * z;
		  p = p + y0b;
		  p = p + y0a;
		}
	      else if (x <= 0.875)
		{
		  z = x - 0.75L;
		  p = z * neval (z, RN1r75, NRN1r75)
			/ deval (z, RD1r75, NRD1r75);
		  p += lgam1r75b;
		  p += lgam1r75a;
		}
	      else
		{
		  z = x - 1.0L;
		  p = z * neval (z, RN2, NRN2) / deval (z, RD2, NRD2);
		}
	      p = p - __logl (x);
	    }
	  else if (x < 1.0L)
	    {
	      z = x - 1.0L;
	      p = z * neval (z, RNr9, NRNr9) / deval (z, RDr9, NRDr9);
	    }
	  else if (x == 1.0L)
	    p = 0.0L;
	  else if (x <= 1.125L)
	    {
	      z = x - 1.0L;
	      p = z * neval (z, RN1, NRN1) / deval (z, RD1, NRD1);
	    }
	  else if (x <= 1.375)
	    {
	      z = x - 1.25L;
	      p = z * neval (z, RN1r25, NRN1r25) / deval (z, RD1r25, NRD1r25);
	      p += lgam1r25b;
	      p += lgam1r25a;
	    }
	  else
	    {
	      /* 1.375 <= x+x0 <= 1.625 */
	      z = x - x0a;
	      z = z - x0b;
	      p = neval (z, RN1r5, NRN1r5) / deval (z, RD1r5, NRD1r5);
	      p = p * z * z;
	      p = p + y0b;
	      p = p + y0a;
	    }
	  break;

	case 2:
	  if (x < 1.625L)
	    {
	      z = x - x0a;
	      z = z - x0b;
	      p = neval (z, RN1r5, NRN1r5) / deval (z, RD1r5, NRD1r5);
	      p = p * z * z;
	      p = p + y0b;
	      p = p + y0a;
	    }
	  else if (x < 1.875L)
	    {
	      z = x - 1.75L;
	      p = z * neval (z, RN1r75, NRN1r75) / deval (z, RD1r75, NRD1r75);
	      p += lgam1r75b;
	      p += lgam1r75a;
	    }
	  else if (x == 2.0L)
	    p = 0.0L;
	  else if (x < 2.375L)
	    {
	      z = x - 2.0L;
	      p = z * neval (z, RN2, NRN2) / deval (z, RD2, NRD2);
	    }
	  else
	    {
	      z = x - 2.5L;
	      p = z * neval (z, RN2r5, NRN2r5) / deval (z, RD2r5, NRD2r5);
	      p += lgam2r5b;
	      p += lgam2r5a;
	    }
	  break;

	case 3:
	  if (x < 2.75)
	    {
	      z = x - 2.5L;
	      p = z * neval (z, RN2r5, NRN2r5) / deval (z, RD2r5, NRD2r5);
	      p += lgam2r5b;
	      p += lgam2r5a;
	    }
	  else
	    {
	      z = x - 3.0L;
	      p = z * neval (z, RN3, NRN3) / deval (z, RD3, NRD3);
	      p += lgam3b;
	      p += lgam3a;
	    }
	  break;

	case 4:
	  z = x - 4.0L;
	  p = z * neval (z, RN4, NRN4) / deval (z, RD4, NRD4);
	  p += lgam4b;
	  p += lgam4a;
	  break;

	case 5:
	  z = x - 5.0L;
	  p = z * neval (z, RN5, NRN5) / deval (z, RD5, NRD5);
	  p += lgam5b;
	  p += lgam5a;
	  break;

	case 6:
	  z = x - 6.0L;
	  p = z * neval (z, RN6, NRN6) / deval (z, RD6, NRD6);
	  p += lgam6b;
	  p += lgam6a;
	  break;

	case 7:
	  z = x - 7.0L;
	  p = z * neval (z, RN7, NRN7) / deval (z, RD7, NRD7);
	  p += lgam7b;
	  p += lgam7a;
	  break;

	case 8:
	  z = x - 8.0L;
	  p = z * neval (z, RN8, NRN8) / deval (z, RD8, NRD8);
	  p += lgam8b;
	  p += lgam8a;
	  break;

	case 9:
	  z = x - 9.0L;
	  p = z * neval (z, RN9, NRN9) / deval (z, RD9, NRD9);
	  p += lgam9b;
	  p += lgam9a;
	  break;

	case 10:
	  z = x - 10.0L;
	  p = z * neval (z, RN10, NRN10) / deval (z, RD10, NRD10);
	  p += lgam10b;
	  p += lgam10a;
	  break;

	case 11:
	  z = x - 11.0L;
	  p = z * neval (z, RN11, NRN11) / deval (z, RD11, NRD11);
	  p += lgam11b;
	  p += lgam11a;
	  break;

	case 12:
	  z = x - 12.0L;
	  p = z * neval (z, RN12, NRN12) / deval (z, RD12, NRD12);
	  p += lgam12b;
	  p += lgam12a;
	  break;

	case 13:
	  z = x - 13.0L;
	  p = z * neval (z, RN13, NRN13) / deval (z, RD13, NRD13);
	  p += lgam13b;
	  p += lgam13a;
	  break;
	}
      return p;
    }

  if (x > MAXLGM)
    return (*signgamp * huge * huge);

  q = ls2pi - x;
  q = (x - 0.5L) * __logl (x) + q;
  if (x > 1.0e18L)
    return (q);

  p = 1.0L / (x * x);
  q += neval (p, RASY, NRASY) / x;
  return (q);
}
Пример #19
0
static int testl(long double long_double_x, int int_x, long long_x)
{
int r = 0;
r += __finitel(long_double_x);
r += __fpclassifyl(long_double_x);
r += __isinfl(long_double_x);
r += __isnanl(long_double_x);
r += __signbitl(long_double_x);
r += acoshl(long_double_x);
r += acosl(long_double_x);
r += asinhl(long_double_x);
r += asinl(long_double_x);
r += atan2l(long_double_x, long_double_x);
r += atanhl(long_double_x);
r += atanl(long_double_x);
r += cbrtl(long_double_x);
r += ceill(long_double_x);
r += copysignl(long_double_x, long_double_x);
r += coshl(long_double_x);
r += cosl(long_double_x);
r += erfcl(long_double_x);
r += erfl(long_double_x);
r += exp2l(long_double_x);
r += expl(long_double_x);
r += expm1l(long_double_x);
r += fabsl(long_double_x);
r += fdiml(long_double_x, long_double_x);
r += floorl(long_double_x);
r += fmal(long_double_x, long_double_x, long_double_x);
r += fmaxl(long_double_x, long_double_x);
r += fminl(long_double_x, long_double_x);
r += fmodl(long_double_x, long_double_x);
r += frexpl(long_double_x, &int_x);
r += hypotl(long_double_x, long_double_x);
r += ilogbl(long_double_x);
r += ldexpl(long_double_x, int_x);
r += lgammal(long_double_x);
r += llrintl(long_double_x);
r += llroundl(long_double_x);
r += log10l(long_double_x);
r += log1pl(long_double_x);
r += log2l(long_double_x);
r += logbl(long_double_x);
r += logl(long_double_x);
r += lrintl(long_double_x);
r += lroundl(long_double_x);
r += modfl(long_double_x, &long_double_x);
r += nearbyintl(long_double_x);
r += nextafterl(long_double_x, long_double_x);
r += nexttowardl(long_double_x, long_double_x);
r += powl(long_double_x, long_double_x);
r += remainderl(long_double_x, long_double_x);
r += remquol(long_double_x, long_double_x, &int_x);
r += rintl(long_double_x);
r += roundl(long_double_x);
r += scalblnl(long_double_x, long_x);
r += scalbnl(long_double_x, int_x);
r += sinhl(long_double_x);
r += sinl(long_double_x);
r += sqrtl(long_double_x);
r += tanhl(long_double_x);
r += tanl(long_double_x);
r += tgammal(long_double_x);
r += truncl(long_double_x);
return r;
}