1 files changed, 82 insertions, 0 deletions
diff --git a/sysdeps/ieee754/ldbl-96/lgamma_productl.c b/sysdeps/ieee754/ldbl-96/lgamma_productl.c
new file mode 100644
index 0000000000..cf0c778d93
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/lgamma_productl.c
@@ -0,0 +1,82 @@
+/* Compute a product of 1 + (T/X), 1 + (T/(X+1)), ....
+   Copyright (C) 2015 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include <math.h>
+#include <math_private.h>
+#include <float.h>
+
+/* Calculate X * Y exactly and store the result in *HI + *LO.  It is
+   given that the values are small enough that no overflow occurs and
+   large enough (or zero) that no underflow occurs.  */
+
+static void
+mul_split (long double *hi, long double *lo, long double x, long double y)
+{
+#ifdef __FP_FAST_FMAL
+  /* Fast built-in fused multiply-add.  */
+  *hi = x * y;
+  *lo = __builtin_fmal (x, y, -*hi);
+#elif defined FP_FAST_FMAL
+  /* Fast library fused multiply-add, compiler before GCC 4.6.  */
+  *hi = x * y;
+  *lo = __fmal (x, y, -*hi);
+#else
+  /* Apply Dekker's algorithm.  */
+  *hi = x * y;
+# define C ((1LL << (LDBL_MANT_DIG + 1) / 2) + 1)
+  long double x1 = x * C;
+  long double y1 = y * C;
+# undef C
+  x1 = (x - x1) + x1;
+  y1 = (y - y1) + y1;
+  long double x2 = x - x1;
+  long double y2 = y - y1;
+  *lo = (((x1 * y1 - *hi) + x1 * y2) + x2 * y1) + x2 * y2;
+#endif
+}
+
+/* Compute the product of 1 + (T / (X + X_EPS)), 1 + (T / (X + X_EPS +
+   1)), ..., 1 + (T / (X + X_EPS + N - 1)), minus 1.  X is such that
+   all the values X + 1, ..., X + N - 1 are exactly representable, and
+   X_EPS / X is small enough that factors quadratic in it can be
+   neglected.  */
+
+long double
+__lgamma_productl (long double t, long double x, long double x_eps, int n)
+{
+  long double ret = 0, ret_eps = 0;
+  for (int i = 0; i < n; i++)
+    {
+      long double xi = x + i;
+      long double quot = t / xi;
+      long double mhi, mlo;
+      mul_split (&mhi, &mlo, quot, xi);
+      long double quot_lo = (t - mhi - mlo) / xi - t * x_eps / (xi * xi);
+      /* We want (1 + RET + RET_EPS) * (1 + QUOT + QUOT_LO) - 1.  */
+      long double rhi, rlo;
+      mul_split (&rhi, &rlo, ret, quot);
+      long double rpq = ret + quot;
+      long double rpq_eps = (ret - rpq) + quot;
+      long double nret = rpq + rhi;
+      long double nret_eps = (rpq - nret) + rhi;
+      ret_eps += (rpq_eps + nret_eps + rlo + ret_eps * quot
+		  + quot_lo + quot_lo * (ret + ret_eps));
+      ret = nret;
+    }
+  return ret + ret_eps;
+}