2.5-18.1

1 files changed, 181 insertions, 0 deletions

diff --git a/sysdeps/ieee754/ldbl-128ibm/math_ldbl.h b/sysdeps/ieee754/ldbl-128ibm/math_ldbl.h
new file mode 100644
index 0000000..d055d65
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128ibm/math_ldbl.h
@@ -0,0 +1,181 @@
+#ifndef _MATH_PRIVATE_H_
+#error "Never use <math_ldbl.h> directly; include <math_private.h> instead."
+#endif
+
+#include <sysdeps/ieee754/ldbl-128/math_ldbl.h>
+#include <ieee754.h>
+  
+static inline void
+ldbl_extract_mantissa (int64_t *hi64, u_int64_t *lo64, int *exp, long double x)
+{
+  /* We have 105 bits of mantissa plus one implicit digit.  Since
+     106 bits are representable we use the first implicit digit for
+     the number before the decimal point and the second implicit bit
+     as bit 53 of the mantissa.  */
+  unsigned long long hi, lo;
+  int ediff;
+  union ibm_extended_long_double eldbl;
+  eldbl.d = x;
+  *exp = eldbl.ieee.exponent - IBM_EXTENDED_LONG_DOUBLE_BIAS;
+
+  lo = ((long long)eldbl.ieee.mantissa2 << 32) | eldbl.ieee.mantissa3;
+  hi = ((long long)eldbl.ieee.mantissa0 << 32) | eldbl.ieee.mantissa1;
+  /* If the lower double is not a denomal or zero then set the hidden
+     53rd bit.  */
+  if (eldbl.ieee.exponent2 > 0x001)
+    {
+      lo |= (1ULL << 52);
+      lo = lo << 7; /* pre-shift lo to match ieee854.  */
+      /* The lower double is normalized separately from the upper.  We
+	 may need to adjust the lower manitissa to reflect this.  */
+      ediff = eldbl.ieee.exponent - eldbl.ieee.exponent2;
+      if (ediff > 53)
+	lo = lo >> (ediff-53);
+    }
+  hi |= (1ULL << 52);
+  
+  if ((eldbl.ieee.negative != eldbl.ieee.negative2)
+      && ((eldbl.ieee.exponent2 != 0) && (lo != 0LL)))
+    {
+      hi--;
+      lo = (1ULL << 60) - lo;
+      if (hi < (1ULL << 52))
+	{
+	  /* we have a borrow from the hidden bit, so shift left 1.  */
+	  hi = (hi << 1) | (lo >> 59);
+	  lo = 0xfffffffffffffffLL & (lo << 1);
+	  *exp = *exp - 1;
+	}
+    }
+  *lo64 = (hi << 60) | lo;
+  *hi64 = hi >> 4;
+}
+
+static inline long double
+ldbl_insert_mantissa (int sign, int exp, int64_t hi64, u_int64_t lo64)
+{
+  union ibm_extended_long_double u;
+  unsigned long hidden2, lzcount;
+  unsigned long long hi, lo;
+
+  u.ieee.negative = sign;
+  u.ieee.negative2 = sign;
+  u.ieee.exponent = exp + IBM_EXTENDED_LONG_DOUBLE_BIAS;
+  u.ieee.exponent2 = exp-53 + IBM_EXTENDED_LONG_DOUBLE_BIAS;
+  /* Expect 113 bits (112 bits + hidden) right justified in two longs.
+     The low order 53 bits (52 + hidden) go into the lower double */ 
+  lo = (lo64 >> 7)& ((1ULL << 53) - 1);
+  hidden2 = (lo64 >> 59) &  1ULL;
+  /* The high order 53 bits (52 + hidden) go into the upper double */
+  hi = (lo64 >> 60) & ((1ULL << 11) - 1);
+  hi |= (hi64 << 4);
+
+  if (lo != 0LL)
+    {
+      /* hidden2 bit of low double controls rounding of the high double.
+	 If hidden2 is '1' then round up hi and adjust lo (2nd mantissa)
+	 plus change the sign of the low double to compensate.  */
+      if (hidden2)
+	{
+	  hi++;
+	  u.ieee.negative2 = !sign;
+	  lo = (1ULL << 53) - lo;
+	}
+      /* The hidden bit of the lo mantissa is zero so we need to
+	 normalize the it for the low double.  Shift it left until the
+	 hidden bit is '1' then adjust the 2nd exponent accordingly.  */ 
+
+      if (sizeof (lo) == sizeof (long))
+	lzcount = __builtin_clzl (lo);
+      else if ((lo >> 32) != 0)
+	lzcount = __builtin_clzl ((long) (lo >> 32));
+      else
+	lzcount = __builtin_clzl ((long) lo) + 32;
+      lzcount = lzcount - 11;
+      if (lzcount > 0)
+	{
+	  int expnt2 = u.ieee.exponent2 - lzcount;
+	  if (expnt2 >= 1)
+	    {
+	      /* Not denormal.  Normalize and set low exponent.  */
+	      lo = lo << lzcount;
+	      u.ieee.exponent2 = expnt2;
+	    }
+	  else
+	    {
+	      /* Is denormal.  */
+	      lo = lo << (lzcount + expnt2);
+	      u.ieee.exponent2 = 0;
+	    }
+	}
+    }
+  else
+    {
+      u.ieee.negative2 = 0;
+      u.ieee.exponent2 = 0;
+    }
+
+  u.ieee.mantissa3 = lo & ((1ULL << 32) - 1);
+  u.ieee.mantissa2 = (lo >> 32) & ((1ULL << 20) - 1);
+  u.ieee.mantissa1 = hi & ((1ULL << 32) - 1);
+  u.ieee.mantissa0 = (hi >> 32) & ((1ULL << 20) - 1);
+  return u.d;
+}
+  
+/* Handy utility functions to pack/unpack/cononicalize and find the nearbyint
+   of long double implemented as double double.  */
+static inline long double
+ldbl_pack (double a, double aa)
+{
+  union ibm_extended_long_double u;
+  u.dd[0] = a;
+  u.dd[1] = aa;
+  return u.d;
+}
+
+static inline void
+ldbl_unpack (long double l, double *a, double *aa)
+{
+  union ibm_extended_long_double u;
+  u.d = l;
+  *a = u.dd[0];
+  *aa = u.dd[1];
+}
+
+
+/* Convert a finite long double to canonical form.
+   Does not handle +/-Inf properly.  */
+static inline void
+ldbl_canonicalize (double *a, double *aa)
+{
+  double xh, xl;
+
+  xh = *a + *aa;
+  xl = (*a - xh) + *aa;
+  *a = xh;
+  *aa = xl;
+}
+
+/* Simple inline nearbyint (double) function .
+   Only works in the default rounding mode
+   but is useful in long double rounding functions.  */
+static inline double
+ldbl_nearbyint (double a)
+{
+  double two52 = 0x10000000000000LL;
+
+  if (__builtin_expect ((__builtin_fabs (a) < two52), 1))
+    {
+      if (__builtin_expect ((a > 0.0), 1))
+	{
+	  a += two52;
+	  a -= two52;
+	}
+      else if (__builtin_expect ((a < 0.0), 1))
+	{
+	  a = two52 - a;
+	  a = -(a - two52);
+	}
+    }
+  return a;
+}