# HG changeset patch
# User Bruno Haible <bruno@clisp.org>
# Date 1331402460 -3600
# Node ID 6c0da1a4068dbe77d479f1bea9518d4b6f76f247
# Parent  8ad751eaba318e30a5766507010e84d5f8acd2dc
Fix some comments.

* lib/expl.c: Fix an ambiguous comment.
* lib/expm1.c: Likewise.
* lib/expm1l.c: Likewise.
* lib/exp2.c: Likewise.
* lib/exp2l.c: Likewise.

diff --git a/ChangeLog b/ChangeLog
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,12 @@
+2012-03-10  Bruno Haible  <bruno@clisp.org>
+
+	Fix some comments.
+	* lib/expl.c: Fix an ambiguous comment.
+	* lib/expm1.c: Likewise.
+	* lib/expm1l.c: Likewise.
+	* lib/exp2.c: Likewise.
+	* lib/exp2l.c: Likewise.
+
 2012-03-10  Paul Eggert  <eggert@cs.ucla.edu>
 
 	regex: allow inclusion of <regex.h> before <limits.h>
diff --git a/lib/exp2.c b/lib/exp2.c
--- a/lib/exp2.c
+++ b/lib/exp2.c
@@ -83,9 +83,9 @@
                    + 21844/6081075 * z^13
                    - 929569/638512875 * z^15
                    + ...
-       Since |z| <= log(2)/1024 < 0.0007, the relative error of the z^7 term
-       is < 0.0007^6 < 2^-60 <= 2^-DBL_MANT_DIG, therefore we can truncate
-       the series after the z^5 term.  */
+       Since |z| <= log(2)/1024 < 0.0007, the relative contribution of the
+       z^7 term is < 0.0007^6 < 2^-60 <= 2^-DBL_MANT_DIG, therefore we can
+       truncate the series after the z^5 term.  */
 
   {
     double nm = round (x * 256.0); /* = 256 * n + m */
diff --git a/lib/exp2l.c b/lib/exp2l.c
--- a/lib/exp2l.c
+++ b/lib/exp2l.c
@@ -96,9 +96,9 @@
                    + 21844/6081075 * z^13
                    - 929569/638512875 * z^15
                    + ...
-       Since |z| <= log(2)/1024 < 0.0007, the relative error of the z^13 term
-       is < 0.0007^12 < 2^-120 <= 2^-LDBL_MANT_DIG, therefore we can truncate
-       the series after the z^11 term.  */
+       Since |z| <= log(2)/1024 < 0.0007, the relative contribution of the
+       z^13 term is < 0.0007^12 < 2^-120 <= 2^-LDBL_MANT_DIG, therefore we
+       can truncate the series after the z^11 term.  */
 
   {
     long double nm = roundl (x * 256.0L); /* = 256 * n + m */
diff --git a/lib/expl.c b/lib/expl.c
--- a/lib/expl.c
+++ b/lib/expl.c
@@ -99,9 +99,9 @@
                    + 21844/6081075 * z^13
                    - 929569/638512875 * z^15
                    + ...
-       Since |z| <= log(2)/1024 < 0.0007, the relative error of the z^13 term
-       is < 0.0007^12 < 2^-120 <= 2^-LDBL_MANT_DIG, therefore we can truncate
-       the series after the z^11 term.
+       Since |z| <= log(2)/1024 < 0.0007, the relative contribution of the
+       z^13 term is < 0.0007^12 < 2^-120 <= 2^-LDBL_MANT_DIG, therefore we
+       can truncate the series after the z^11 term.
 
      Given the usual bounds LDBL_MAX_EXP <= 16384, LDBL_MIN_EXP >= -16381,
      LDBL_MANT_DIG <= 120, we can estimate x:  -11440 <= x <= 11357.
diff --git a/lib/expm1.c b/lib/expm1.c
--- a/lib/expm1.c
+++ b/lib/expm1.c
@@ -99,9 +99,9 @@
                    + 21844/6081075 * z^13
                    - 929569/638512875 * z^15
                    + ...
-       Since |z| <= log(2)/1024 < 0.0007, the relative error of the z^7 term
-       is < 0.0007^6 < 2^-60 <= 2^-DBL_MANT_DIG, therefore we can truncate
-       the series after the z^5 term.
+       Since |z| <= log(2)/1024 < 0.0007, the relative contribution of the
+       z^7 term is < 0.0007^6 < 2^-60 <= 2^-DBL_MANT_DIG, therefore we can
+       truncate the series after the z^5 term.
 
      Given the usual bounds DBL_MAX_EXP <= 16384, DBL_MANT_DIG <= 120, we
      can estimate x:  -84 <= x <= 11357.
diff --git a/lib/expm1l.c b/lib/expm1l.c
--- a/lib/expm1l.c
+++ b/lib/expm1l.c
@@ -109,9 +109,9 @@
                    + 21844/6081075 * z^13
                    - 929569/638512875 * z^15
                    + ...
-       Since |z| <= log(2)/1024 < 0.0007, the relative error of the z^13 term
-       is < 0.0007^12 < 2^-120 <= 2^-LDBL_MANT_DIG, therefore we can truncate
-       the series after the z^11 term.
+       Since |z| <= log(2)/1024 < 0.0007, the relative contribution of the
+       z^13 term is < 0.0007^12 < 2^-120 <= 2^-LDBL_MANT_DIG, therefore we
+       can truncate the series after the z^11 term.
 
      Given the usual bounds LDBL_MAX_EXP <= 16384, LDBL_MANT_DIG <= 120, we
      can estimate x:  -84 <= x <= 11357.