• numeric.c

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Numeric

Public Instance Methods

+num => num click to toggle source

```
static VALUE
num_uplus(num)
VALUE num;
{
return num;
}
```
-num => numeric click to toggle source

Unary Minusâ€”Returns the receiver's value, negated.

```
static VALUE
num_uminus(num)
VALUE num;
{
VALUE zero;

zero = INT2FIX(0);
do_coerce(&zero, &num, Qtrue);

return rb_funcall(zero, '-', 1, num);
}
```
num <=> other → 0 or nil click to toggle source

Returns zero if num equals other, `nil` otherwise.

```
static VALUE
num_cmp(x, y)
VALUE x, y;
{
if (x == y) return INT2FIX(0);
return Qnil;
}
```
abs => num or numeric click to toggle source

Returns the absolute value of num.

```12.abs         #=> 12
(-34.56).abs   #=> 34.56
-34.56.abs     #=> 34.56
```
```
static VALUE
num_abs(num)
VALUE num;
{
if (RTEST(rb_funcall(num, '<', 1, INT2FIX(0)))) {
return rb_funcall(num, rb_intern("-@"), 0);
}
return num;
}
```
ceil => integer click to toggle source

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
(-1.0).ceil   #=> -1
```
```
static VALUE
num_ceil(num)
VALUE num;
{
return flo_ceil(rb_Float(num));
}
```
coerce(numeric) => array click to toggle source

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]
```
```
static VALUE
num_coerce(x, y)
VALUE x, y;
{
if (CLASS_OF(x) == CLASS_OF(y))
return rb_assoc_new(y, x);
x = rb_Float(x);
y = rb_Float(y);
return rb_assoc_new(y, x);
}
```
div(numeric) => integer click to toggle source

Uses `/` to perform division, then converts the result to an integer. `Numeric` does not define the `/` operator; this is left to subclasses.

```
static VALUE
num_div(x, y)
VALUE x, y;
{
return num_floor(rb_funcall(x, '/', 1, y));
}
```
divmod( aNumeric ) → anArray click to toggle source

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
------+-----+---------------+---------+-------------+---------------
13   | -4  |  -4,   -3     |  -3     |   -3        |     1
------+-----+---------------+---------+-------------+---------------
-13   |  4  |  -4,    3     |  -4     |    3        |    -1
------+-----+---------------+---------+-------------+---------------
-13   | -4  |   3,   -1     |   3     |   -1        |    -1
------+-----+---------------+---------+-------------+---------------
11.5 |  4  |   2,    3.5   |   2.875 |    3.5      |     3.5
------+-----+---------------+---------+-------------+---------------
11.5 | -4  |  -3,   -0.5   |  -2.875 |   -0.5      |     3.5
------+-----+---------------+---------+-------------+---------------
-11.5 |  4  |  -3,    0.5   |  -2.875 |    0.5      |    -3.5
------+-----+---------------+---------+-------------+---------------
-11.5 | -4  |   2    -3.5   |   2.875 |   -3.5      |    -3.5```

Examples

```11.divmod(3)         #=> [3, 2]
11.divmod(-3)        #=> [-4, -1]
11.divmod(3.5)       #=> [3, 0.5]
(-11).divmod(3.5)    #=> [-4, 3.0]
(11.5).divmod(3.5)   #=> [3, 1.0]
```
```
static VALUE
num_divmod(x, y)
VALUE x, y;
{
return rb_assoc_new(num_div(x, y), rb_funcall(x, '%', 1, y));
}
```
eql?(numeric) => true or false click to toggle source

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
```
```
static VALUE
num_eql(x, y)
VALUE x, y;
{
if (TYPE(x) != TYPE(y)) return Qfalse;

return rb_equal(x, y);
}
```
floor => integer click to toggle source

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
```
```
static VALUE
num_floor(num)
VALUE num;
{
return flo_floor(rb_Float(num));
}
```
integer? → true or false click to toggle source

Returns `true` if num is an `Integer` (including `Fixnum` and `Bignum`).

```
static VALUE
num_int_p(num)
VALUE num;
{
return Qfalse;
}
```
modulo(numeric) => result click to toggle source

Equivalent to num.divmod(aNumeric).

```
static VALUE
num_modulo(x, y)
VALUE x, y;
{
return rb_funcall(x, '%', 1, y);
}
```
nonzero? => num or nil click to toggle source

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"]
```
```
static VALUE
num_nonzero_p(num)
VALUE num;
{
if (RTEST(rb_funcall(num, rb_intern("zero?"), 0, 0))) {
return Qnil;
}
return num;
}
```
quo(numeric) => result click to toggle source

Equivalent to `Numeric#/`, but overridden in subclasses.

```
static VALUE
num_quo(x, y)
VALUE x, y;
{
return rb_funcall(x, '/', 1, y);
}
```
remainder(numeric) => result click to toggle source

If num and numeric have different signs, returns mod-numeric; otherwise, returns mod. In both cases mod is the value num.`modulo(`numeric`)`. The differences between `remainder` and modulo (`%`) are shown in the table under `Numeric#divmod`.

```
static VALUE
num_remainder(x, y)
VALUE x, y;
{
VALUE z = rb_funcall(x, '%', 1, y);

if ((!rb_equal(z, INT2FIX(0))) &&
((RTEST(rb_funcall(x, '<', 1, INT2FIX(0))) &&
RTEST(rb_funcall(y, '>', 1, INT2FIX(0)))) ||
(RTEST(rb_funcall(x, '>', 1, INT2FIX(0))) &&
RTEST(rb_funcall(y, '<', 1, INT2FIX(0)))))) {
return rb_funcall(z, '-', 1, y);
}
return z;
}
```
round => integer click to toggle source

Rounds num to the nearest integer. `Numeric` implements this by converting itself to a `Float` and invoking `Float#round`.

```
static VALUE
num_round(num)
VALUE num;
{
return flo_round(rb_Float(num));
}
```

Trap attempts to add methods to `Numeric` objects. Always raises a `TypeError`

```
static VALUE
VALUE x, name;
{
ruby_frame = ruby_frame->prev; /* pop frame for "singleton_method_added" */
/* Numerics should be values; singleton_methods should not be added to them */
rb_raise(rb_eTypeError,
"can't define singleton method \"%s\" for %s",
rb_id2name(rb_to_id(name)),
rb_obj_classname(x));
return Qnil;                /* not reached */
}
```
step(limit, step ) {|i| block } => num click to toggle source

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 limit (if step is positive) or less than limit (if step is negative). If all the arguments are integers, the loop operates using an integer counter. If any of the arguments are floating point numbers, all are converted to floats, and the loop is executed floor(n + n*epsilon)+ 1 times, where n = (limit - num)/step. Otherwise, the loop starts at num, uses either the `<` or `>` 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```
```
static VALUE
num_step(argc, argv, from)
int argc;
VALUE *argv;
VALUE from;
{
VALUE to, step;

if (argc == 1) {
to = argv[0];
step = INT2FIX(1);
}
else {
if (argc == 2) {
to = argv[0];
step = argv[1];
}
else {
rb_raise(rb_eArgError, "wrong number of arguments");
}
if (rb_equal(step, INT2FIX(0))) {
rb_raise(rb_eArgError, "step can't be 0");
}
}

if (FIXNUM_P(from) && FIXNUM_P(to) && FIXNUM_P(step)) {
long i, end, diff;

i = FIX2LONG(from);
end = FIX2LONG(to);
diff = FIX2LONG(step);

if (diff > 0) {
while (i <= end) {
rb_yield(LONG2FIX(i));
i += diff;
}
}
else {
while (i >= end) {
rb_yield(LONG2FIX(i));
i += diff;
}
}
}
else if (TYPE(from) == T_FLOAT || TYPE(to) == T_FLOAT || TYPE(step) == T_FLOAT) {
const double epsilon = DBL_EPSILON;
double beg = NUM2DBL(from);
double end = NUM2DBL(to);
double unit = NUM2DBL(step);
double n = (end - beg)/unit;
double err = (fabs(beg) + fabs(end) + fabs(end-beg)) / fabs(unit) * epsilon;
long i;

if (err>0.5) err=0.5;
n = floor(n + err) + 1;
for (i=0; i<n; i++) {
rb_yield(rb_float_new(i*unit+beg));
}
}
else {
VALUE i = from;
ID cmp;

if (RTEST(rb_funcall(step, '>', 1, INT2FIX(0)))) {
cmp = '>';
}
else {
cmp = '<';
}
for (;;) {
if (RTEST(rb_funcall(i, cmp, 1, to))) break;
rb_yield(i);
i = rb_funcall(i, '+', 1, step);
}
}
return from;
}
```
to_int => integer click to toggle source

Invokes the child class's `to_i` method to convert num to an integer.

```
static VALUE
num_to_int(num)
VALUE num;
{
return rb_funcall(num, id_to_i, 0, 0);
}
```
truncate => integer click to toggle source

Returns num truncated to an integer. `Numeric` implements this by converting its value to a float and invoking `Float#truncate`.

```
static VALUE
num_truncate(num)
VALUE num;
{
return flo_truncate(rb_Float(num));
}
```
zero? => true or false click to toggle source

Returns `true` if num has a zero value.

```
static VALUE
num_zero_p(num)
VALUE num;
{
if (rb_equal(num, INT2FIX(0))) {
return Qtrue;
}
return Qfalse;
}
```