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[Emacs-diffs] trunk r116806: * numbers.texi: Improve and clarify a bit,
From: |
Paul Eggert |
Subject: |
[Emacs-diffs] trunk r116806: * numbers.texi: Improve and clarify a bit, and fix some minor bugs. |
Date: |
Wed, 19 Mar 2014 21:21:05 +0000 |
User-agent: |
Bazaar (2.6b2) |
------------------------------------------------------------
revno: 116806
revision-id: address@hidden
parent: address@hidden
author: Paul Eggert <address@hidden>
committer: Paul Eggert <address@hidden>
branch nick: trunk
timestamp: Wed 2014-03-19 14:21:01 -0700
message:
* numbers.texi: Improve and clarify a bit, and fix some minor bugs.
Remove now-obsolete hypothetical note about negative division,
as the C standard has changed.
modified:
doc/lispref/ChangeLog changelog-20091113204419-o5vbwnq5f7feedwu-6155
doc/lispref/numbers.texi
numbers.texi-20091113204419-o5vbwnq5f7feedwu-6203
=== modified file 'doc/lispref/ChangeLog'
--- a/doc/lispref/ChangeLog 2014-03-19 21:09:08 +0000
+++ b/doc/lispref/ChangeLog 2014-03-19 21:21:01 +0000
@@ -1,5 +1,9 @@
2014-03-19 Paul Eggert <address@hidden>
+ * numbers.texi: Improve and clarify a bit, and fix some minor bugs.
+ Remove now-obsolete hypothetical note about negative division,
+ as the C standard has changed.
+
Fix porting inconsistency about rounding to even.
* numbers.texi (Numeric Conversions, Rounding Operations):
Document that 'round' and 'fround' round to even.
=== modified file 'doc/lispref/numbers.texi'
--- a/doc/lispref/numbers.texi 2014-03-19 21:09:08 +0000
+++ b/doc/lispref/numbers.texi 2014-03-19 21:21:01 +0000
@@ -116,8 +116,8 @@
@minus{}1 is represented as 30 ones. (This is called @dfn{two's
complement} notation.)
- The negative integer, @minus{}5, is creating by subtracting 4 from
address@hidden In binary, the decimal integer 4 is 100. Consequently,
+ Subtracting 4 from @minus{}1 returns the negative integer @minus{}5.
+In binary, the decimal integer 4 is 100. Consequently,
@minus{}5 looks like this:
@example
@@ -190,8 +190,8 @@
@end defvar
In Emacs Lisp, text characters are represented by integers. Any
-integer between zero and the value of @code{max-char}, inclusive, is
-considered to be valid as a character. @xref{String Basics}.
+integer between zero and the value of @code{(max-char)}, inclusive, is
+considered to be valid as a character. @xref{Character Codes}.
@node Float Basics
@section Floating-Point Basics
@@ -252,7 +252,7 @@
where @var{s} and @var{e} are respectively the significand and
exponent of the floating-point number @var{x}.
-If @var{x} is finite, @var{s} is a floating-point number between 0.5
+If @var{x} is finite, then @var{s} is a floating-point number between 0.5
(inclusive) and 1.0 (exclusive), @var{e} is an integer, and
@ifnottex
@var{x} = @var{s} * address@hidden
@@ -260,9 +260,9 @@
@tex
@math{x = s 2^e}.
@end tex
-If @var{x} is zero or infinity, @var{s} is the same as @var{x}.
-If @var{x} is a NaN, @var{s} is also a NaN.
-If @var{x} is zero, @var{e} is 0.
+If @var{x} is zero or infinity, then @var{s} is the same as @var{x}.
+If @var{x} is a NaN, then @var{s} is also a NaN.
+If @var{x} is zero, then @var{e} is 0.
@end defun
@defun ldexp sig &optional exp
@@ -275,9 +275,9 @@
and returns the result. @var{x1} and @var{x2} must be floating point.
@end defun
address@hidden logb number
-This function returns the binary exponent of @var{number}. More
-precisely, the value is the logarithm of |@var{number}| base 2, rounded
address@hidden logb x
+This function returns the binary exponent of @var{x}. More
+precisely, the value is the logarithm base 2 of @math{|x|}, rounded
down to an integer.
@example
@@ -367,7 +367,7 @@
@example
(defvar fuzz-factor 1.0e-6)
(defun approx-equal (x y)
- (or (and (= x 0) (= y 0))
+ (or (= x y)
(< (/ (abs (- x y))
(max (abs x) (abs y)))
fuzz-factor)))
@@ -648,10 +648,6 @@
If all the arguments are integers, the result is an integer, obtained
by rounding the quotient towards zero after each division.
-(Hypothetically, some machines may have different rounding behavior
-for negative arguments, because @code{/} is implemented using the C
-division operator, which permits machine-dependent rounding; but this
-does not happen in practice.)
@example
@group
@@ -706,8 +702,7 @@
@end example
@noindent
-always equals @var{dividend}. If @var{divisor} is zero, Emacs signals
-an @code{arith-error} error.
+always equals @var{dividend} if @var{divisor} is nonzero.
@example
(% 9 4)
@@ -769,7 +764,8 @@
@noindent
always equals @var{dividend}, subject to rounding error if either
-argument is floating point. For @code{floor}, see @ref{Numeric
+argument is floating point and to an @code{arith-error} if @var{dividend} is an
+integer and @var{divisor} is 0. For @code{floor}, see @ref{Numeric
Conversions}.
@end defun
@@ -1194,8 +1190,8 @@
@end defun
@defun sqrt arg
-This returns the square root of @var{arg}. If @var{arg} is negative,
address@hidden returns a NaN.
+This returns the square root of @var{arg}. If @var{arg} is finite
+and less than zero, @code{sqrt} returns a NaN.
@end defun
In addition, Emacs defines the following common mathematical
@@ -1244,8 +1240,8 @@
@code{most-negative-fixnum} and @code{most-positive-fixnum}
(@pxref{Integer Basics}).
-If @var{limit} is @code{t}, it means to choose a new seed based on the
-current time of day and on Emacs's process @acronym{ID} number.
+If @var{limit} is @code{t}, it means to choose a new seed as if Emacs
+were restarting.
If @var{limit} is a string, it means to choose a new seed based on the
string's contents.
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