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-rw-r--r--sysdeps/ieee754/ldbl-128/e_gammal_r.c125
1 files changed, 63 insertions, 62 deletions
diff --git a/sysdeps/ieee754/ldbl-128/e_gammal_r.c b/sysdeps/ieee754/ldbl-128/e_gammal_r.c
index d0286e31eb..e2730b8fc2 100644
--- a/sysdeps/ieee754/ldbl-128/e_gammal_r.c
+++ b/sysdeps/ieee754/ldbl-128/e_gammal_r.c
@@ -1,5 +1,5 @@
/* Implementation of gamma function according to ISO C.
- Copyright (C) 1997-2016 Free Software Foundation, Inc.
+ Copyright (C) 1997-2018 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
Jakub Jelinek <jj@ultra.linux.cz, 1999.
@@ -20,27 +20,28 @@
#include <math.h>
#include <math_private.h>
+#include <math-underflow.h>
#include <float.h>
/* Coefficients B_2k / 2k(2k-1) of x^-(2k-1) inside exp in Stirling's
approximation to gamma function. */
-static const long double gamma_coeff[] =
+static const _Float128 gamma_coeff[] =
{
- 0x1.5555555555555555555555555555p-4L,
- -0xb.60b60b60b60b60b60b60b60b60b8p-12L,
- 0x3.4034034034034034034034034034p-12L,
- -0x2.7027027027027027027027027028p-12L,
- 0x3.72a3c5631fe46ae1d4e700dca8f2p-12L,
- -0x7.daac36664f1f207daac36664f1f4p-12L,
- 0x1.a41a41a41a41a41a41a41a41a41ap-8L,
- -0x7.90a1b2c3d4e5f708192a3b4c5d7p-8L,
- 0x2.dfd2c703c0cfff430edfd2c703cp-4L,
- -0x1.6476701181f39edbdb9ce625987dp+0L,
- 0xd.672219167002d3a7a9c886459cp+0L,
- -0x9.cd9292e6660d55b3f712eb9e07c8p+4L,
- 0x8.911a740da740da740da740da741p+8L,
- -0x8.d0cc570e255bf59ff6eec24b49p+12L,
+ L(0x1.5555555555555555555555555555p-4),
+ L(-0xb.60b60b60b60b60b60b60b60b60b8p-12),
+ L(0x3.4034034034034034034034034034p-12),
+ L(-0x2.7027027027027027027027027028p-12),
+ L(0x3.72a3c5631fe46ae1d4e700dca8f2p-12),
+ L(-0x7.daac36664f1f207daac36664f1f4p-12),
+ L(0x1.a41a41a41a41a41a41a41a41a41ap-8),
+ L(-0x7.90a1b2c3d4e5f708192a3b4c5d7p-8),
+ L(0x2.dfd2c703c0cfff430edfd2c703cp-4),
+ L(-0x1.6476701181f39edbdb9ce625987dp+0),
+ L(0xd.672219167002d3a7a9c886459cp+0),
+ L(-0x9.cd9292e6660d55b3f712eb9e07c8p+4),
+ L(0x8.911a740da740da740da740da741p+8),
+ L(-0x8.d0cc570e255bf59ff6eec24b49p+12),
};
#define NCOEFF (sizeof (gamma_coeff) / sizeof (gamma_coeff[0]))
@@ -49,42 +50,42 @@ static const long double gamma_coeff[] =
2^(*EXP2_ADJ), where R is the return value and *EXP2_ADJ is set to
avoid overflow or underflow in intermediate calculations. */
-static long double
-gammal_positive (long double x, int *exp2_adj)
+static _Float128
+gammal_positive (_Float128 x, int *exp2_adj)
{
int local_signgam;
- if (x < 0.5L)
+ if (x < L(0.5))
{
*exp2_adj = 0;
return __ieee754_expl (__ieee754_lgammal_r (x + 1, &local_signgam)) / x;
}
- else if (x <= 1.5L)
+ else if (x <= L(1.5))
{
*exp2_adj = 0;
return __ieee754_expl (__ieee754_lgammal_r (x, &local_signgam));
}
- else if (x < 12.5L)
+ else if (x < L(12.5))
{
/* Adjust into the range for using exp (lgamma). */
*exp2_adj = 0;
- long double n = __ceill (x - 1.5L);
- long double x_adj = x - n;
- long double eps;
- long double prod = __gamma_productl (x_adj, 0, n, &eps);
+ _Float128 n = __ceill (x - L(1.5));
+ _Float128 x_adj = x - n;
+ _Float128 eps;
+ _Float128 prod = __gamma_productl (x_adj, 0, n, &eps);
return (__ieee754_expl (__ieee754_lgammal_r (x_adj, &local_signgam))
- * prod * (1.0L + eps));
+ * prod * (1 + eps));
}
else
{
- long double eps = 0;
- long double x_eps = 0;
- long double x_adj = x;
- long double prod = 1;
- if (x < 24.0L)
+ _Float128 eps = 0;
+ _Float128 x_eps = 0;
+ _Float128 x_adj = x;
+ _Float128 prod = 1;
+ if (x < 24)
{
/* Adjust into the range for applying Stirling's
approximation. */
- long double n = __ceill (24.0L - x);
+ _Float128 n = __ceill (24 - x);
x_adj = x + n;
x_eps = (x - (x_adj - n));
prod = __gamma_productl (x_adj - n, x_eps, n, &eps);
@@ -93,25 +94,25 @@ gammal_positive (long double x, int *exp2_adj)
Compute gamma (X_ADJ + X_EPS) using Stirling's approximation,
starting by computing pow (X_ADJ, X_ADJ) with a power of 2
factored out. */
- long double exp_adj = -eps;
- long double x_adj_int = __roundl (x_adj);
- long double x_adj_frac = x_adj - x_adj_int;
+ _Float128 exp_adj = -eps;
+ _Float128 x_adj_int = __roundl (x_adj);
+ _Float128 x_adj_frac = x_adj - x_adj_int;
int x_adj_log2;
- long double x_adj_mant = __frexpl (x_adj, &x_adj_log2);
+ _Float128 x_adj_mant = __frexpl (x_adj, &x_adj_log2);
if (x_adj_mant < M_SQRT1_2l)
{
x_adj_log2--;
- x_adj_mant *= 2.0L;
+ x_adj_mant *= 2;
}
*exp2_adj = x_adj_log2 * (int) x_adj_int;
- long double ret = (__ieee754_powl (x_adj_mant, x_adj)
- * __ieee754_exp2l (x_adj_log2 * x_adj_frac)
- * __ieee754_expl (-x_adj)
- * __ieee754_sqrtl (2 * M_PIl / x_adj)
- / prod);
+ _Float128 ret = (__ieee754_powl (x_adj_mant, x_adj)
+ * __ieee754_exp2l (x_adj_log2 * x_adj_frac)
+ * __ieee754_expl (-x_adj)
+ * sqrtl (2 * M_PIl / x_adj)
+ / prod);
exp_adj += x_eps * __ieee754_logl (x_adj);
- long double bsum = gamma_coeff[NCOEFF - 1];
- long double x_adj2 = x_adj * x_adj;
+ _Float128 bsum = gamma_coeff[NCOEFF - 1];
+ _Float128 x_adj2 = x_adj * x_adj;
for (size_t i = 1; i <= NCOEFF - 1; i++)
bsum = bsum / x_adj2 + gamma_coeff[NCOEFF - 1 - i];
exp_adj += bsum / x_adj;
@@ -119,12 +120,12 @@ gammal_positive (long double x, int *exp2_adj)
}
}
-long double
-__ieee754_gammal_r (long double x, int *signgamp)
+_Float128
+__ieee754_gammal_r (_Float128 x, int *signgamp)
{
int64_t hx;
- u_int64_t lx;
- long double ret;
+ uint64_t lx;
+ _Float128 ret;
GET_LDOUBLE_WORDS64 (hx, lx, x);
@@ -134,7 +135,7 @@ __ieee754_gammal_r (long double x, int *signgamp)
*signgamp = 0;
return 1.0 / x;
}
- if (hx < 0 && (u_int64_t) hx < 0xffff000000000000ULL && __rintl (x) == x)
+ if (hx < 0 && (uint64_t) hx < 0xffff000000000000ULL && __rintl (x) == x)
{
/* Return value for integer x < 0 is NaN with invalid exception. */
*signgamp = 0;
@@ -154,7 +155,7 @@ __ieee754_gammal_r (long double x, int *signgamp)
return x + x;
}
- if (x >= 1756.0L)
+ if (x >= 1756)
{
/* Overflow. */
*signgamp = 0;
@@ -163,33 +164,33 @@ __ieee754_gammal_r (long double x, int *signgamp)
else
{
SET_RESTORE_ROUNDL (FE_TONEAREST);
- if (x > 0.0L)
+ if (x > 0)
{
*signgamp = 0;
int exp2_adj;
ret = gammal_positive (x, &exp2_adj);
ret = __scalbnl (ret, exp2_adj);
}
- else if (x >= -LDBL_EPSILON / 4.0L)
+ else if (x >= -LDBL_EPSILON / 4)
{
*signgamp = 0;
- ret = 1.0L / x;
+ ret = 1 / x;
}
else
{
- long double tx = __truncl (x);
- *signgamp = (tx == 2.0L * __truncl (tx / 2.0L)) ? -1 : 1;
- if (x <= -1775.0L)
+ _Float128 tx = __truncl (x);
+ *signgamp = (tx == 2 * __truncl (tx / 2)) ? -1 : 1;
+ if (x <= -1775)
/* Underflow. */
ret = LDBL_MIN * LDBL_MIN;
else
{
- long double frac = tx - x;
- if (frac > 0.5L)
- frac = 1.0L - frac;
- long double sinpix = (frac <= 0.25L
- ? __sinl (M_PIl * frac)
- : __cosl (M_PIl * (0.5L - frac)));
+ _Float128 frac = tx - x;
+ if (frac > L(0.5))
+ frac = 1 - frac;
+ _Float128 sinpix = (frac <= L(0.25)
+ ? __sinl (M_PIl * frac)
+ : __cosl (M_PIl * (L(0.5) - frac)));
int exp2_adj;
ret = M_PIl / (-x * sinpix
* gammal_positive (-x, &exp2_adj));
generated by cgit v1.2.3 (git 2.39.1) at 2024-04-30 12:10:08 +0000