diff --git a/numeric.c b/numeric.c
index b4eb525c14..12d1fe5cd7 100644
--- a/numeric.c
+++ b/numeric.c
@@ -82,14 +82,14 @@ rb_num_zerodiv(void)
/*
* call-seq:
* num.coerce(numeric) => array
- *
+ *
* If aNumeric is the same type as num, returns an array
* containing aNumeric and num. Otherwise, returns an
* array with both aNumeric and num represented as
* Float
objects. This coercion mechanism is used by
* Ruby to handle mixed-type numeric operations: it is intended to
* find a compatible common type between the two operands of the operator.
- *
+ *
* 1.coerce(2.5) #=> [2.5, 1.0]
* 1.2.coerce(3) #=> [3.0, 1.2]
* 1.coerce(2) #=> [2, 1]
@@ -153,7 +153,7 @@ rb_num_coerce_bin(VALUE x, VALUE y)
VALUE
rb_num_coerce_cmp(VALUE x, VALUE y)
{
- if (do_coerce(&x, &y, Qfalse))
+ if (do_coerce(&x, &y, Qfalse))
return rb_funcall(x, rb_frame_this_func(), 1, y);
return Qnil;
}
@@ -184,7 +184,7 @@ num_sadded(VALUE x, VALUE name)
rb_raise(rb_eTypeError,
"can't define singleton method \"%s\" for %s",
rb_id2name(rb_to_id(name)),
- rb_obj_classname(x));
+ rb_obj_classname(x));
return Qnil; /* not reached */
}
@@ -200,7 +200,7 @@ num_init_copy(VALUE x, VALUE y)
/*
* call-seq:
* +num => num
- *
+ *
* Unary Plus---Returns the receiver's value.
*/
@@ -213,7 +213,7 @@ num_uplus(VALUE num)
/*
* call-seq:
* -num => numeric
- *
+ *
* Unary Minus---Returns the receiver's value, negated.
*/
@@ -232,7 +232,7 @@ num_uminus(VALUE num)
* call-seq:
* num.quo(numeric) => result
* num.fdiv(numeric) => result
- *
+ *
* Equivalent to Numeric#/
, but overridden in subclasses.
*/
@@ -248,7 +248,7 @@ static VALUE num_floor(VALUE num);
/*
* call-seq:
* num.div(numeric) => integer
- *
+ *
* Uses /
to perform division, then converts the result to
* an integer. Numeric
does not define the /
* operator; this is left to subclasses.
@@ -264,16 +264,16 @@ num_div(VALUE x, VALUE y)
/*
* call-seq:
* num.divmod( aNumeric ) -> anArray
- *
+ *
* Returns an array containing the quotient and modulus obtained by
* dividing num by aNumeric. If q, r =
* x.divmod(y)
, then
*
* q = floor(float(x)/float(y))
* x = q*y + r
- *
+ *
* The quotient is rounded toward -infinity, as shown in the following table:
- *
+ *
* a | b | a.divmod(b) | a/b | a.modulo(b) | a.remainder(b)
* ------+-----+---------------+---------+-------------+---------------
* 13 | 4 | 3, 1 | 3 | 1 | 1
@@ -310,7 +310,7 @@ num_divmod(VALUE x, VALUE y)
/*
* call-seq:
* num.modulo(numeric) => result
- *
+ *
* Equivalent to
* num.divmod(
aNumeric)[1]
.
*/
@@ -324,7 +324,7 @@ num_modulo(VALUE x, VALUE y)
/*
* call-seq:
* num.remainder(numeric) => result
- *
+ *
* If num and numeric have different signs, returns
* mod-numeric; otherwise, returns mod. In
* both cases mod is the value
@@ -351,7 +351,7 @@ num_remainder(VALUE x, VALUE y)
/*
* call-seq:
* num.scalar? -> true or false
- *
+ *
* Returns true
if num is an Scalar
* (i.e. non Complex
).
*/
@@ -365,7 +365,7 @@ num_scalar_p(VALUE num)
/*
* call-seq:
* num.integer? -> true or false
- *
+ *
* Returns true
if num is an Integer
* (including Fixnum
and Bignum
).
*/
@@ -379,9 +379,9 @@ num_int_p(VALUE num)
/*
* call-seq:
* num.abs => num or numeric
- *
+ *
* Returns the absolute value of num.
- *
+ *
* 12.abs #=> 12
* (-34.56).abs #=> 34.56
* -34.56.abs #=> 34.56
@@ -400,7 +400,7 @@ num_abs(VALUE num)
/*
* call-seq:
* num.zero? => true or false
- *
+ *
* Returns true
if num has a zero value.
*/
@@ -417,10 +417,10 @@ num_zero_p(VALUE num)
/*
* call-seq:
* num.nonzero? => num or nil
- *
+ *
* Returns num if num is not zero, nil
* otherwise. This behavior is useful when chaining comparisons:
- *
+ *
* a = %w( z Bb bB bb BB a aA Aa AA A )
* b = a.sort {|a,b| (a.downcase <=> b.downcase).nonzero? || a <=> b }
* b #=> ["A", "a", "AA", "Aa", "aA", "BB", "Bb", "bB", "bb", "z"]
@@ -438,7 +438,7 @@ num_nonzero_p(VALUE num)
/*
* call-seq:
* num.to_int => integer
- *
+ *
* Invokes the child class's to_i
method to convert
* num to an integer.
*/
@@ -451,7 +451,7 @@ num_to_int(VALUE num)
/********************************************************************
- *
+ *
* Document-class: Float
*
* Float
objects represent real numbers using the native
@@ -471,7 +471,7 @@ rb_float_new(double d)
/*
* call-seq:
* flt.to_s => string
- *
+ *
* Returns a string containing a representation of self. As well as a
* fixed or exponential form of the number, the call may return
* ``NaN
'', ``Infinity
'', and
@@ -657,9 +657,9 @@ flodivmod(double x, double y, double *divp, double *modp)
* call-seq:
* flt % other => float
* flt.modulo(other) => float
- *
+ *
* Return the modulo after division of flt
by other
.
- *
+ *
* 6543.21.modulo(137) #=> 104.21
* 6543.21.modulo(137.24) #=> 92.9299999999996
*/
@@ -689,7 +689,7 @@ flo_mod(VALUE x, VALUE y)
/*
* call-seq:
* flt.divmod(numeric) => array
- *
+ *
* See Numeric#divmod
.
*/
@@ -731,7 +731,7 @@ flo_divmod(VALUE x, VALUE y)
*
* Raises float
the other
power.
*/
-
+
static VALUE
flo_pow(VALUE x, VALUE y)
{
@@ -750,10 +750,10 @@ flo_pow(VALUE x, VALUE y)
/*
* call-seq:
* num.eql?(numeric) => true or false
- *
+ *
* Returns true
if num and numeric are the
* same type and have equal values.
- *
+ *
* 1 == 1.0 #=> true
* 1.eql?(1.0) #=> false
* (1.0).eql?(1.0) #=> true
@@ -770,7 +770,7 @@ num_eql(VALUE x, VALUE y)
/*
* call-seq:
* num <=> other -> 0 or nil
- *
+ *
* Returns zero if num equals other, nil
* otherwise.
*/
@@ -792,13 +792,13 @@ num_equal(VALUE x, VALUE y)
/*
* call-seq:
* flt == obj => true or false
- *
+ *
* Returns true
only if obj has the same value
* as flt. Contrast this with Float#eql?
, which
* requires obj to be a Float
.
- *
+ *
* 1.0 == 1 #=> true
- *
+ *
*/
static VALUE
@@ -856,7 +856,7 @@ rb_dbl_cmp(double a, double b)
/*
* call-seq:
* flt <=> numeric => -1, 0, +1
- *
+ *
* Returns -1, 0, or +1 depending on whether flt is less than,
* equal to, or greater than numeric. This is the basis for the
* tests in Comparable
.
@@ -925,7 +925,7 @@ flo_gt(VALUE x, VALUE y)
* call-seq:
* flt >= other => true or false
*
- * true
if flt
is greater than
+ * true
if flt
is greater than
* or equal to other
.
*/
@@ -1028,11 +1028,11 @@ flo_le(VALUE x, VALUE y)
/*
* call-seq:
* flt.eql?(obj) => true or false
- *
+ *
* Returns true
only if obj is a
* Float
with the same value as flt. Contrast this
* with Float#==
, which performs type conversions.
- *
+ *
* 1.0.eql?(1) #=> false
*/
@@ -1065,12 +1065,12 @@ flo_to_f(VALUE num)
/*
* call-seq:
* flt.abs => float
- *
+ *
* Returns the absolute value of flt.
- *
+ *
* (-34.56).abs #=> 34.56
* -34.56.abs #=> 34.56
- *
+ *
*/
static VALUE
@@ -1083,9 +1083,9 @@ flo_abs(VALUE flt)
/*
* call-seq:
* flt.zero? -> true or false
- *
+ *
* Returns true
if flt is 0.0.
- *
+ *
*/
static VALUE
@@ -1100,10 +1100,10 @@ flo_zero_p(VALUE num)
/*
* call-seq:
* flt.nan? -> true or false
- *
+ *
* Returns true
if flt is an invalid IEEE floating
* point number.
- *
+ *
* a = -1.0 #=> -1.0
* a.nan? #=> false
* a = 0.0/0.0 #=> NaN
@@ -1112,7 +1112,7 @@ flo_zero_p(VALUE num)
static VALUE
flo_is_nan_p(VALUE num)
-{
+{
double value = RFLOAT(num)->value;
return isnan(value) ? Qtrue : Qfalse;
@@ -1121,10 +1121,10 @@ flo_is_nan_p(VALUE num)
/*
* call-seq:
* flt.infinite? -> nil, -1, +1
- *
+ *
* Returns nil
, -1, or +1 depending on whether flt
* is finite, -infinity, or +infinity.
- *
+ *
* (0.0).infinite? #=> nil
* (-1.0/0.0).infinite? #=> -1
* (+1.0/0.0).infinite? #=> 1
@@ -1132,7 +1132,7 @@ flo_is_nan_p(VALUE num)
static VALUE
flo_is_infinite_p(VALUE num)
-{
+{
double value = RFLOAT(num)->value;
if (isinf(value)) {
@@ -1145,16 +1145,16 @@ flo_is_infinite_p(VALUE num)
/*
* call-seq:
* flt.finite? -> true or false
- *
+ *
* Returns true
if flt is a valid IEEE floating
* point number (it is not infinite, and nan?
is
* false
).
- *
+ *
*/
static VALUE
flo_is_finite_p(VALUE num)
-{
+{
double value = RFLOAT(num)->value;
#if HAVE_FINITE
@@ -1171,9 +1171,9 @@ flo_is_finite_p(VALUE num)
/*
* call-seq:
* flt.floor => integer
- *
+ *
* Returns the largest integer less than or equal to flt.
- *
+ *
* 1.2.floor #=> 1
* 2.0.floor #=> 2
* (-1.2).floor #=> -2
@@ -1196,10 +1196,10 @@ flo_floor(VALUE num)
/*
* call-seq:
* flt.ceil => integer
- *
+ *
* Returns the smallest Integer
greater than or equal to
* flt.
- *
+ *
* 1.2.ceil #=> 2
* 2.0.ceil #=> 2
* (-1.2).ceil #=> -1
@@ -1222,18 +1222,18 @@ flo_ceil(VALUE num)
/*
* call-seq:
* flt.round => integer
- *
+ *
* Rounds flt to the nearest integer. Equivalent to:
- *
+ *
* def round
* return floor(self+0.5) if self > 0.0
* return ceil(self-0.5) if self < 0.0
* return 0.0
* end
- *
+ *
* 1.5.round #=> 2
* (-1.5).round #=> -2
- *
+ *
*/
static VALUE
@@ -1257,7 +1257,7 @@ flo_round(VALUE num)
* flt.to_i => integer
* flt.to_int => integer
* flt.truncate => integer
- *
+ *
* Returns flt truncated to an Integer
.
*/
@@ -1281,11 +1281,11 @@ flo_truncate(VALUE num)
/*
* call-seq:
* num.floor => integer
- *
+ *
* Returns the largest integer less than or equal to num.
* Numeric
implements this by converting anInteger
* to a Float
and invoking Float#floor
.
- *
+ *
* 1.floor #=> 1
* (-1).floor #=> -1
*/
@@ -1300,12 +1300,12 @@ num_floor(VALUE num)
/*
* call-seq:
* num.ceil => integer
- *
+ *
* Returns the smallest Integer
greater than or equal to
* num. Class Numeric
achieves this by converting
* itself to a Float
then invoking
* Float#ceil
.
- *
+ *
* 1.ceil #=> 1
* 1.2.ceil #=> 2
* (-1.2).ceil #=> -1
@@ -1321,7 +1321,7 @@ num_ceil(VALUE num)
/*
* call-seq:
* num.round => integer
- *
+ *
* Rounds num to the nearest integer. Numeric
* implements this by converting itself to a
* Float
and invoking Float#round
.
@@ -1336,7 +1336,7 @@ num_round(VALUE num)
/*
* call-seq:
* num.truncate => integer
- *
+ *
* Returns num truncated to an integer. Numeric
* implements this by converting its value to a float and invoking
* Float#truncate
.
@@ -1352,7 +1352,7 @@ num_truncate(VALUE num)
/*
* call-seq:
* num.step(limit, step ) {|i| block } => num
- *
+ *
* Invokes block with the sequence of numbers starting at
* num, incremented by step on each call. The loop
* finishes when the value to be passed to the block is greater than
@@ -1366,12 +1366,12 @@ num_truncate(VALUE num)
* >
operator to compare the counter against
* limit, and increments itself using the +
* operator.
- *
+ *
* 1.step(10, 2) { |i| print i, " " }
* Math::E.step(Math::PI, 0.2) { |f| print f, " " }
- *
+ *
* produces:
- *
+ *
* 1 3 5 7 9
* 2.71828182845905 2.91828182845905 3.11828182845905
*/
@@ -1660,7 +1660,7 @@ rb_num2ull(VALUE val)
*
* Integer
is the basis for the two concrete classes that
* hold whole numbers, Bignum
and Fixnum
.
- *
+ *
*/
@@ -1686,7 +1686,7 @@ int_to_i(VALUE num)
/*
* call-seq:
* int.integer? -> true
- *
+ *
* Always returns true
.
*/
@@ -1732,9 +1732,9 @@ int_even_p(VALUE num)
* call-seq:
* fixnum.next => integer
* fixnum.succ => integer
- *
+ *
* Returns the Integer
equal to int + 1.
- *
+ *
* 1.next #=> 2
* (-1).next #=> 0
*/
@@ -1750,9 +1750,9 @@ fix_succ(VALUE num)
* call-seq:
* int.next => integer
* int.succ => integer
- *
+ *
* Returns the Integer
equal to int + 1.
- *
+ *
* 1.next #=> 2
* (-1).next #=> 0
*/
@@ -1770,9 +1770,9 @@ int_succ(VALUE num)
/*
* call-seq:
* int.pred => integer
- *
+ *
* Returns the Integer
equal to int - 1.
- *
+ *
* 1.pred #=> 0
* (-1).pred #=> -2
*/
@@ -1790,10 +1790,10 @@ int_pred(VALUE num)
/*
* call-seq:
* int.chr => string
- *
+ *
* Returns a string containing the ASCII character represented by the
* receiver's value.
- *
+ *
* 65.chr #=> "A"
* 230.chr #=> "\346"
*/
@@ -1811,14 +1811,14 @@ int_chr(VALUE num)
}
/********************************************************************
- *
+ *
* Document-class: Fixnum
*
* A Fixnum
holds Integer
values that can be
* represented in a native machine word (minus 1 bit). If any operation
* on a Fixnum
exceeds this range, the value is
* automatically converted to a Bignum
.
- *
+ *
* Fixnum
objects have immediate value. This means that
* when they are assigned or passed as parameters, the actual object is
* passed, rather than a reference to that object. Assignment does not
@@ -1932,10 +1932,10 @@ rb_fix2str(VALUE x, int base)
/*
* call-seq:
* fix.to_s( base=10 ) -> aString
- *
+ *
* Returns a string containing the representation of fix radix
* base (between 2 and 36).
- *
+ *
* 12345.to_s #=> "12345"
* 12345.to_s(2) #=> "11000000111001"
* 12345.to_s(8) #=> "30071"
@@ -1962,7 +1962,7 @@ fix_to_s(int argc, VALUE *argv, VALUE x)
* fix + numeric => numeric_result
*
* Performs addition: the class of the resulting object depends on
- * the class of numeric
and on the magnitude of the
+ * the class of numeric
and on the magnitude of the
* result.
*/
@@ -1995,7 +1995,7 @@ fix_plus(VALUE x, VALUE y)
* fix - numeric => numeric_result
*
* Performs subtraction: the class of the resulting object depends on
- * the class of numeric
and on the magnitude of the
+ * the class of numeric
and on the magnitude of the
* result.
*/
@@ -2029,7 +2029,7 @@ fix_minus(VALUE x, VALUE y)
* fix * numeric => numeric_result
*
* Performs multiplication: the class of the resulting object depends on
- * the class of numeric
and on the magnitude of the
+ * the class of numeric
and on the magnitude of the
* result.
*/
@@ -2113,13 +2113,13 @@ fixdivmod(long x, long y, long *divp, long *modp)
* call-seq:
* fix.quo(numeric) => float
* fix.fdiv(numeric) => float
- *
+ *
* Returns the floating point result of dividing fix by
* numeric.
- *
+ *
* 654321.quo(13731) #=> 47.6528293642124
* 654321.quo(13731.24) #=> 47.6519964693647
- *
+ *
*/
static VALUE
@@ -2169,7 +2169,7 @@ fix_divide(VALUE x, VALUE y, int flo)
* fix / numeric => numeric_result
*
* Performs division: the class of the resulting object depends on
- * the class of numeric
and on the magnitude of the
+ * the class of numeric
and on the magnitude of the
* result.
*/
@@ -2229,7 +2229,7 @@ fix_mod(VALUE x, VALUE y)
/*
* call-seq:
* fix.divmod(numeric) => array
- *
+ *
* See Numeric#divmod
.
*/
static VALUE
@@ -2362,7 +2362,7 @@ fix_equal(VALUE x, VALUE y)
/*
* call-seq:
* fix <=> numeric => -1, 0, +1
- *
+ *
* Comparison---Returns -1, 0, or +1 depending on whether fix is
* less than, equal to, or greater than numeric. This is the
* basis for the tests in Comparable
.
@@ -2613,16 +2613,16 @@ fix_rshift(VALUE x, VALUE y)
/*
* call-seq:
* fix[n] => 0, 1
- *
+ *
* Bit Reference---Returns the nth bit in the binary
* representation of fix, where fix[0] is the least
* significant bit.
- *
+ *
* a = 0b11001100101010
* 30.downto(0) do |n| print a[n] end
- *
+ *
* produces:
- *
+ *
* 0000000000000000011001100101010
*/
@@ -2655,9 +2655,9 @@ fix_aref(VALUE fix, VALUE idx)
/*
* call-seq:
* fix.to_f -> float
- *
+ *
* Converts fix to a Float
.
- *
+ *
*/
static VALUE
@@ -2673,12 +2673,12 @@ fix_to_f(VALUE num)
/*
* call-seq:
* fix.abs -> aFixnum
- *
+ *
* Returns the absolute value of fix.
- *
+ *
* -12345.abs #=> 12345
* 12345.abs #=> 12345
- *
+ *
*/
static VALUE
@@ -2694,13 +2694,13 @@ fix_abs(VALUE fix)
/*
* call-seq:
* fix.id2name -> string or nil
- *
+ *
* Returns the name of the object whose symbol id is fix. If
* there is no symbol in the symbol table with this value, returns
* nil
. id2name
has nothing to do with the
* Object.id
method. See also Fixnum#to_sym
,
* String#intern
, and class Symbol
.
- *
+ *
* symbol = :@inst_var #=> :@inst_var
* id = symbol.to_i #=> 9818
* id.id2name #=> "@inst_var"
@@ -2718,10 +2718,10 @@ fix_id2name(VALUE fix)
/*
* call-seq:
* fix.to_sym -> aSymbol
- *
+ *
* Returns the symbol whose integer value is fix. See also
* Fixnum#id2name
.
- *
+ *
* fred = :fred.to_i
* fred.id2name #=> "fred"
* fred.to_sym #=> :fred
@@ -2742,10 +2742,10 @@ fix_to_sym(VALUE fix)
/*
* call-seq:
* fix.size -> fixnum
- *
+ *
* Returns the number of bytes in the machine representation
* of a Fixnum
.
- *
+ *
* 1.size #=> 4
* -1.size #=> 4
* 2147483647.size #=> 4
@@ -2760,14 +2760,14 @@ fix_size(VALUE fix)
/*
* call-seq:
* int.upto(limit) {|i| block } => int
- *
+ *
* Iterates block, passing in integer values from int
* up to and including limit.
- *
+ *
* 5.upto(10) { |i| print i, " " }
- *
+ *
* produces:
- *
+ *
* 5 6 7 8 9 10
*/
@@ -2798,15 +2798,15 @@ int_upto(VALUE from, VALUE to)
/*
* call-seq:
* int.downto(limit) {|i| block } => int
- *
+ *
* Iterates block, passing decreasing values from int
* down to and including limit.
- *
+ *
* 5.downto(1) { |n| print n, ".. " }
* print " Liftoff!\n"
- *
+ *
* produces:
- *
+ *
* 5.. 4.. 3.. 2.. 1.. Liftoff!
*/
@@ -2837,16 +2837,16 @@ int_downto(VALUE from, VALUE to)
/*
* call-seq:
* int.times {|i| block } => int
- *
+ *
* Iterates block int times, passing in values from zero to
* int - 1.
- *
+ *
* 5.times do |i|
* print i, " "
* end
- *
+ *
* produces:
- *
+ *
* 0 1 2 3 4
*/
@@ -2885,9 +2885,9 @@ int_dotimes(VALUE num)
/*
* call-seq:
* fix.zero? => true or false
- *
+ *
* Returns true
if fix is zero.
- *
+ *
*/
static VALUE
@@ -2902,7 +2902,7 @@ fix_zero_p(VALUE num)
/*
* call-seq:
* fix.odd? -> true or false
- *
+ *
* Returns true
if fix is an odd number.
*/
@@ -2918,7 +2918,7 @@ fix_odd_p(VALUE num)
/*
* call-seq:
* fix.even? -> true or false
- *
+ *
* Returns true
if fix is an even number.
*/