Improve handling and doc of compl().

6 files changed, 342 insertions, 307 deletions

diff --git a/ChangeLog b/ChangeLog
index 8d623ac0..da14af06 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,13 @@
+2015-05-26  Paul Eggert  <eggert@Penguin.CS.UCLA.EDU>
+
+	* floatcomp.c (count_trailing_zeros): New function.
+	This compiles to a single TZCNT instruction on the x86-64.
+	(adjust_uint): Use it to keep more high-order bits when
+	some of the lowest-order bits are zero.  This implements
+	the documented behavior: "If the result cannot be represented
+	exactly as a C 'double', leading nonzero bits are removed one by
+	one until it can be represented exactly."
+
 2015-05-26         Arnold D. Robbins     <arnold@skeeve.com>
 
 	* regcomp.c: Fix offsets so error messages come out correct
diff --git a/doc/ChangeLog b/doc/ChangeLog
index f554d30a..1c9420d9 100644
--- a/doc/ChangeLog
+++ b/doc/ChangeLog
@@ -1,3 +1,7 @@
+2015-05-30         Arnold D. Robbins     <arnold@skeeve.com>
+
+	* gawktexi.in (Bitwise Functions): Update results of testbits.awk.
+
 2015-05-19         Arnold D. Robbins     <arnold@skeeve.com>
 
 	* 4.1.3: Release tar ball made.
diff --git a/doc/gawk.info b/doc/gawk.info
index 1991a3b7..8d328901 100644
--- a/doc/gawk.info
+++ b/doc/gawk.info
@@ -13258,7 +13258,7 @@ This program produces the following output when run:
      -| 123 = 01111011
      -| 0123 = 01010011
      -| 0x99 = 10011001
-     -| compl(0x99) = 0xffffff66 = 11111111111111111111111101100110
+     -| compl(0x99) = 0x3fffffffffff66 = 00111111111111111111111111111111111111111111111101100110
      -| lshift(0x99, 2) = 0x264 = 0000001001100100
      -| rshift(0x99, 2) = 0x26 = 00100110
 
@@ -34767,307 +34767,307 @@ Ref: Time Functions-Footnote-5557525
 Ref: Time Functions-Footnote-6557752
 Node: Bitwise Functions558018
 Ref: table-bitwise-ops558612
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 End Tag Table
diff --git a/doc/gawk.texi b/doc/gawk.texi
index 18ef080b..57a2f893 100644
--- a/doc/gawk.texi
+++ b/doc/gawk.texi
@@ -19175,7 +19175,7 @@ $ @kbd{gawk -f testbits.awk}
 @print{} 123 = 01111011
 @print{} 0123 = 01010011
 @print{} 0x99 = 10011001
-@print{} compl(0x99) = 0xffffff66 = 11111111111111111111111101100110
+@print{} compl(0x99) = 0x3fffffffffff66 = 00111111111111111111111111111111111111111111111101100110
 @print{} lshift(0x99, 2) = 0x264 = 0000001001100100
 @print{} rshift(0x99, 2) = 0x26 = 00100110
 @end example
diff --git a/doc/gawktexi.in b/doc/gawktexi.in
index 0066593f..03857f1e 100644
--- a/doc/gawktexi.in
+++ b/doc/gawktexi.in
@@ -18296,7 +18296,7 @@ $ @kbd{gawk -f testbits.awk}
 @print{} 123 = 01111011
 @print{} 0123 = 01010011
 @print{} 0x99 = 10011001
-@print{} compl(0x99) = 0xffffff66 = 11111111111111111111111101100110
+@print{} compl(0x99) = 0x3fffffffffff66 = 00111111111111111111111111111111111111111111111101100110
 @print{} lshift(0x99, 2) = 0x264 = 0000001001100100
 @print{} rshift(0x99, 2) = 0x26 = 00100110
 @end example
diff --git a/floatcomp.c b/floatcomp.c
index 16a6d88e..d8d35694 100644
--- a/floatcomp.c
+++ b/floatcomp.c
@@ -71,6 +71,20 @@ Please port the following code to your weird host;
 #define AWKNUM_FRACTION_BITS (AWKNUM_MANT_DIG * (FLT_RADIX == 2 ? 1 : 4))
 #define DBL_FRACTION_BITS (DBL_MANT_DIG * (FLT_RADIX == 2 ? 1 : 4))
 
+/* Return the number of trailing zeros in N.  N must be nonzero.  */
+static int
+count_trailing_zeros(uintmax_t n)
+{
+#if 3 < (__GNUC__ + (4 <= __GNUC_MINOR__)) && UINTMAX_MAX <= ULLONG_MAX
+	return __builtin_ctzll(n);
+#else
+	int i = 0;
+	for (; (n & 3) == 0; n >>= 2)
+		i += 2;
+	return i + (1 & ~n);
+#endif
+}
+
 /* adjust_uint --- fiddle with values, ask Paul Eggert to explain */
 
 uintmax_t
@@ -84,8 +98,15 @@ adjust_uint(uintmax_t n)
 	 * This is more desirable in practice, since it means the user sees
 	 * integers that are the same width as the AWKNUM fractions.
 	 */
-	if (AWKNUM_FRACTION_BITS < CHAR_BIT * sizeof n)
-		n &= ((uintmax_t) 1 << AWKNUM_FRACTION_BITS) - 1;
+	int wordbits = CHAR_BIT * sizeof n;
+	if (AWKNUM_FRACTION_BITS < wordbits) {
+		uintmax_t one = 1;
+		uintmax_t sentinel = one << (wordbits - AWKNUM_FRACTION_BITS);
+		int shift = count_trailing_zeros(n | sentinel);
+		uintmax_t mask = (one << AWKNUM_FRACTION_BITS) - 1;
+
+		n &= mask << shift;
+	}
 
 	return n;
 }