Numeric

Class

Numeric is the class from which all higher-level numeric classes should inherit.

Numeric allows instantiation of heap-allocated objects. Other core numeric classes such as Integer are implemented as immediates, which means that each Integer is a single immutable object which is always passed by value.

a = 1
1.object_id == a.object_id   #=> true

There can only ever be one instance of the integer 1, for example. Ruby ensures this by preventing instantiation. If duplication is attempted, the same instance is returned.

Integer.new(1)                   #=> NoMethodError: undefined method `new' for Integer:Class
1.dup                            #=> 1
1.object_id == 1.dup.object_id   #=> true

For this reason, Numeric should be used when defining other numeric classes.

Classes which inherit from Numeric must implement coerce, which returns a two-member Array containing an object that has been coerced into an instance of the new class and self (see coerce).

Inheriting classes should also implement arithmetic operator methods (+, -, * and /) and the <=> operator (see Comparable). These methods may rely on coerce to ensure interoperability with instances of other numeric classes.

class Tally < Numeric
  def initialize(string)
    @string = string
  end

  def to_s
    @string
  end

  def to_i
    @string.size
  end

  def coerce(other)
    [self.class.new('|' * other.to_i), self]
  end

  def <=>(other)
    to_i <=> other.to_i
  end

  def +(other)
    self.class.new('|' * (to_i + other.to_i))
  end

  def -(other)
    self.class.new('|' * (to_i - other.to_i))
  end

  def *(other)
    self.class.new('|' * (to_i * other.to_i))
  end

  def /(other)
    self.class.new('|' * (to_i / other.to_i))
  end
end

tally = Tally.new('||')
puts tally * 2            #=> "||||"
puts tally > 1            #=> true

What’s Here

First, what’s elsewhere. Class Numeric:

Inherits from class Object.
Includes module Comparable.

Here, class Numeric provides methods for:

Querying

finite?: Returns true unless self is infinite or not a number.
infinite?: Returns -1, nil or +1, depending on whether self is -Infinity<tt>, finite, or <tt>+Infinity.
integer?: Returns whether self is an integer.
negative?: Returns whether self is negative.
nonzero?: Returns whether self is not zero.
positive?: Returns whether self is positive.
real?: Returns whether self is a real value.
zero?: Returns whether self is zero.

Comparing

<=>: Returns:
- -1 if self is less than the given value.
- 0 if self is equal to the given value.
- 1 if self is greater than the given value.
- nil if self and the given value are not comparable.
eql?: Returns whether self and the given value have the same value and type.

Converting

% (aliased as modulo): Returns the remainder of self divided by the given value.
-@: Returns the value of self, negated.
abs (aliased as magnitude): Returns the absolute value of self.
abs2: Returns the square of self.
angle (aliased as arg and phase): Returns 0 if self is positive, Math::PI otherwise.
ceil: Returns the smallest number greater than or equal to self, to a given precision.
coerce: Returns array [coerced_self, coerced_other] for the given other value.
conj (aliased as conjugate): Returns the complex conjugate of self.
denominator: Returns the denominator (always positive) of the Rational representation of self.
div: Returns the value of self divided by the given value and converted to an integer.
divmod: Returns array [quotient, modulus] resulting from dividing self the given divisor.
fdiv: Returns the Float result of dividing self by the given divisor.
floor: Returns the largest number less than or equal to self, to a given precision.
i: Returns the Complex object Complex(0, self). the given value.
imaginary (aliased as imag): Returns the imaginary part of the self.
numerator: Returns the numerator of the Rational representation of self; has the same sign as self.
polar: Returns the array [self.abs, self.arg].
quo: Returns the value of self divided by the given value.
real: Returns the real part of self.
rect (aliased as rectangular): Returns the array [self, 0].
remainder: Returns self-arg*(self/arg).truncate for the given arg.
round: Returns the value of self rounded to the nearest value for the given a precision.
to_c: Returns the Complex representation of self.
to_int: Returns the Integer representation of self, truncating if necessary.
truncate: Returns self truncated (toward zero) to a given precision.

Other

clone: Returns self; does not allow freezing.
dup (aliased as +@): Returns self.
step: Invokes the given block with the sequence of specified numbers.

Instance Methods

self % other → real_numeric

numeric.c View on GitHub

          
            static VALUE
num_modulo(VALUE x, VALUE y)
{
    VALUE q = num_funcall1(x, id_div, y);
    return rb_funcall(x, '-', 1,
                      rb_funcall(y, '*', 1, q));
}

Returns self modulo other as a real number.

Of the Core and Standard Library classes, only Rational uses this implementation.

For Rational r and real number n, these expressions are equivalent:

r % n
r-n*(r/n).floor
r.divmod(n)[1]

See Numeric#divmod.

Examples:

r = Rational(1, 2)    # => (1/2)
r2 = Rational(2, 3)   # => (2/3)
r % r2                # => (1/2)
r % 2                 # => (1/2)
r % 2.0               # => 0.5

r = Rational(301,100) # => (301/100)
r2 = Rational(7,5)    # => (7/5)
r % r2                # => (21/100)
r % -r2               # => (-119/100)
(-r) % r2             # => (119/100)
(-r) %-r2             # => (-21/100)

+self → self

numeric.c View on GitHub

          
            static VALUE
num_uplus(VALUE num)
{
    return num;
}

Returns self.

-self → numeric

numeric.c View on GitHub

          
            static VALUE
num_uminus(VALUE num)
{
    VALUE zero;

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

    return num_funcall1(zero, '-', num);
}

Unary Minus—Returns the receiver, negated.

self <=> other → zero or nil

numeric.c View on GitHub

          
            static VALUE
num_cmp(VALUE x, VALUE y)
{
    if (x == y) return INT2FIX(0);
    return Qnil;
}

Returns zero if self is the same as other, nil otherwise.

No subclass in the Ruby Core or Standard Library uses this implementation.

abs → numeric

numeric.c View on GitHub

          
            static VALUE
num_abs(VALUE num)
{
    if (rb_num_negative_int_p(num)) {
        return num_funcall0(num, idUMinus);
    }
    return num;
}

Returns the absolute value of self.

12.abs        #=> 12
(-34.56).abs  #=> 34.56
-34.56.abs    #=> 34.56

abs2 → real

complex.c View on GitHub

          
            static VALUE
numeric_abs2(VALUE self)
{
    return f_mul(self, self);
}

Returns the square of self.

angle

complex.c View on GitHub

An alias for arg

arg → 0 or Math::PI

complex.c View on GitHub

          
            static VALUE
numeric_arg(VALUE self)
{
    if (f_positive_p(self))
        return INT2FIX(0);
    return DBL2NUM(M_PI);
}

Returns zero if self is positive, Math::PI otherwise.

ceil(digits = 0) → integer or float

numeric.c View on GitHub

          
            static VALUE
num_ceil(int argc, VALUE *argv, VALUE num)
{
    return flo_ceil(argc, argv, rb_Float(num));
}

Returns the smallest number that is greater than or equal to self with a precision of digits decimal digits.

Numeric implements this by converting self to a Float and invoking Float#ceil.

clone(freeze: true) → self

numeric.c View on GitHub

          
            static VALUE
num_clone(int argc, VALUE *argv, VALUE x)
{
    return rb_immutable_obj_clone(argc, argv, x);
}

Returns self.

Raises an exception if the value for freeze is neither true nor nil.

Related: Numeric#dup.

coerce(other) → array

numeric.c View on GitHub

          
            static VALUE
num_coerce(VALUE x, VALUE 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);
}

Returns a 2-element array containing two numeric elements, formed from the two operands self and other, of a common compatible type.

Of the Core and Standard Library classes, Integer, Rational, and Complex use this implementation.

Examples:

i = 2                    # => 2
i.coerce(3)              # => [3, 2]
i.coerce(3.0)            # => [3.0, 2.0]
i.coerce(Rational(1, 2)) # => [0.5, 2.0]
i.coerce(Complex(3, 4))  # Raises RangeError.

r = Rational(5, 2)       # => (5/2)
r.coerce(2)              # => [(2/1), (5/2)]
r.coerce(2.0)            # => [2.0, 2.5]
r.coerce(Rational(2, 3)) # => [(2/3), (5/2)]
r.coerce(Complex(3, 4))  # => [(3+4i), ((5/2)+0i)]

c = Complex(2, 3)        # => (2+3i)
c.coerce(2)              # => [(2+0i), (2+3i)]
c.coerce(2.0)            # => [(2.0+0i), (2+3i)]
c.coerce(Rational(1, 2)) # => [((1/2)+0i), (2+3i)]
c.coerce(Complex(3, 4))  # => [(3+4i), (2+3i)]

Raises an exception if any type conversion fails.

conj → self

numeric.rb View on GitHub

An alias for conjugate

conj -> self

numeric.rb View on GitHub

          
            # File tmp/rubies/ruby-3.4.0-preview1/numeric.rb, line 68
def conjugate
  self
end

Returns self.

num.denominator → integer

rational.c View on GitHub

          
            static VALUE
numeric_denominator(VALUE self)
{
    return f_denominator(f_to_r(self));
}

Returns the denominator (always positive).

div(other) → integer

numeric.c View on GitHub

          
            static VALUE
num_div(VALUE x, VALUE y)
{
    if (rb_equal(INT2FIX(0), y)) rb_num_zerodiv();
    return rb_funcall(num_funcall1(x, '/', y), rb_intern("floor"), 0);
}

Returns the quotient self/other as an integer (via floor), using method / in the derived class of self. (Numeric itself does not define method /.)

Of the Core and Standard Library classes, Only Float and Rational use this implementation.

divmod(other) → array

numeric.c View on GitHub

          
            static VALUE
num_divmod(VALUE x, VALUE y)
{
    return rb_assoc_new(num_div(x, y), num_modulo(x, y));
}

Returns a 2-element array [q, r], where

q = (self/other).floor                  # Quotient
r = self % other                        # Remainder

Of the Core and Standard Library classes, only Rational uses this implementation.

Examples:

Rational(11, 1).divmod(4)               # => [2, (3/1)]
Rational(11, 1).divmod(-4)              # => [-3, (-1/1)]
Rational(-11, 1).divmod(4)              # => [-3, (1/1)]
Rational(-11, 1).divmod(-4)             # => [2, (-3/1)]

Rational(12, 1).divmod(4)               # => [3, (0/1)]
Rational(12, 1).divmod(-4)              # => [-3, (0/1)]
Rational(-12, 1).divmod(4)              # => [-3, (0/1)]
Rational(-12, 1).divmod(-4)             # => [3, (0/1)]

Rational(13, 1).divmod(4.0)             # => [3, 1.0]
Rational(13, 1).divmod(Rational(4, 11)) # => [35, (3/11)]

dup → self

numeric.c View on GitHub

          
            static VALUE
num_dup(VALUE x)
{
    return x;
}

Returns self.

Related: Numeric#clone.

eql?(other) → true or false

numeric.c View on GitHub

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

    if (RB_BIGNUM_TYPE_P(x)) {
        return rb_big_eql(x, y);
    }

    return rb_equal(x, y);
}

Returns true if self and other are the same type and have equal values.

Of the Core and Standard Library classes, only Integer, Rational, and Complex use this implementation.

Examples:

1.eql?(1)              # => true
1.eql?(1.0)            # => false
1.eql?(Rational(1, 1)) # => false
1.eql?(Complex(1, 0))  # => false

Method eql? is different from == in that eql? requires matching types, while == does not.

fdiv(other) → float

numeric.c View on GitHub

          
            static VALUE
num_fdiv(VALUE x, VALUE y)
{
    return rb_funcall(rb_Float(x), '/', 1, y);
}

Returns the quotient self/other as a float, using method / in the derived class of self. (Numeric itself does not define method /.)

Of the Core and Standard Library classes, only BigDecimal uses this implementation.

finite? → true or false

numeric.rb View on GitHub

          
            # File tmp/rubies/ruby-3.4.0-preview1/numeric.rb, line 38
def finite?
  true
end

Returns true if self is a finite number, false otherwise.

floor(digits = 0) → integer or float

numeric.c View on GitHub

          
            static VALUE
num_floor(int argc, VALUE *argv, VALUE num)
{
    return flo_floor(argc, argv, rb_Float(num));
}

Returns the largest number that is less than or equal to self with a precision of digits decimal digits.

Numeric implements this by converting self to a Float and invoking Float#floor.

i → complex

numeric.c View on GitHub

          
            static VALUE
num_imaginary(VALUE num)
{
    return rb_complex_new(INT2FIX(0), num);
}

Returns Complex(0, self):

2.i              # => (0+2i)
-2.i             # => (0-2i)
2.0.i            # => (0+2.0i)
Rational(1, 2).i # => (0+(1/2)*i)
Complex(3, 4).i  # Raises NoMethodError.

imag → 0

numeric.rb View on GitHub

An alias for imaginary

imag -> 0

numeric.rb View on GitHub

          
            # File tmp/rubies/ruby-3.4.0-preview1/numeric.rb, line 57
def imaginary
  0
end

Returns zero.

infinite? → -1, 1, or nil

numeric.rb View on GitHub

          
            # File tmp/rubies/ruby-3.4.0-preview1/numeric.rb, line 48
def infinite?
  nil
end

Returns nil, -1, or 1 depending on whether self is finite, -Infinity, or +Infinity.

integer? → true or false

numeric.rb View on GitHub

          
            # File tmp/rubies/ruby-3.4.0-preview1/numeric.rb, line 29
def integer?
  false
end

Returns true if self is an Integer.

1.0.integer? # => false
1.integer?   # => true

magnitude

numeric.c View on GitHub

An alias for abs

modulo(p1)

numeric.c View on GitHub

An alias for %

negative? → true or false

numeric.c View on GitHub

          
            static VALUE
num_negative_p(VALUE num)
{
    return RBOOL(rb_num_negative_int_p(num));
}

Returns true if self is less than 0, false otherwise.

nonzero? → self or nil

numeric.c View on GitHub

          
            static VALUE
num_nonzero_p(VALUE num)
{
    if (RTEST(num_funcall0(num, rb_intern("zero?")))) {
        return Qnil;
    }
    return num;
}

Returns +self+ if +self+ is not a zero value, +nil+ otherwise;
uses method <tt>zero?</tt> for the evaluation.

The returned +self+ allows the method to be chained:

  a = %w[z Bb bB bb BB a aA Aa AA A]
  a.sort {|a, b| (a.downcase <=> b.downcase).nonzero? || a <=> b }
  # => ["A", "a", "AA", "Aa", "aA", "BB", "Bb", "bB", "bb", "z"]

Of the Core and Standard Library classes,
Integer, Float, Rational, and Complex use this implementation.

Related: zero?

num.numerator → integer

rational.c View on GitHub

          
            static VALUE
numeric_numerator(VALUE self)
{
    return f_numerator(f_to_r(self));
}

Returns the numerator.

phase

complex.c View on GitHub

An alias for arg

polar → array

complex.c View on GitHub

          
            static VALUE
numeric_polar(VALUE self)
{
    VALUE abs, arg;

    if (RB_INTEGER_TYPE_P(self)) {
        abs = rb_int_abs(self);
        arg = numeric_arg(self);
    }
    else if (RB_FLOAT_TYPE_P(self)) {
        abs = rb_float_abs(self);
        arg = float_arg(self);
    }
    else if (RB_TYPE_P(self, T_RATIONAL)) {
        abs = rb_rational_abs(self);
        arg = numeric_arg(self);
    }
    else {
        abs = f_abs(self);
        arg = f_arg(self);
    }
    return rb_assoc_new(abs, arg);
}

Returns array [self.abs, self.arg].

positive? → true or false

numeric.c View on GitHub

          
            static VALUE
num_positive_p(VALUE num)
{
    const ID mid = '>';

    if (FIXNUM_P(num)) {
        if (method_basic_p(rb_cInteger))
            return RBOOL((SIGNED_VALUE)num > (SIGNED_VALUE)INT2FIX(0));
    }
    else if (RB_BIGNUM_TYPE_P(num)) {
        if (method_basic_p(rb_cInteger))
            return RBOOL(BIGNUM_POSITIVE_P(num) && !rb_bigzero_p(num));
    }
    return rb_num_compare_with_zero(num, mid);
}

Returns true if self is greater than 0, false otherwise.

num.quo(int_or_rat) → rat

num.quo(flo) → flo

rational.c View on GitHub

          
            VALUE
rb_numeric_quo(VALUE x, VALUE y)
{
    if (RB_TYPE_P(x, T_COMPLEX)) {
        return rb_complex_div(x, y);
    }

    if (RB_FLOAT_TYPE_P(y)) {
        return rb_funcallv(x, idFdiv, 1, &y);
    }

    x = rb_convert_type(x, T_RATIONAL, "Rational", "to_r");
    return rb_rational_div(x, y);
}

Returns the most exact division (rational for integers, float for floats).

real → self

numeric.rb View on GitHub

          
            # File tmp/rubies/ruby-3.4.0-preview1/numeric.rb, line 17
def real
  self
end

Returns self.

real? → true or false

numeric.rb View on GitHub

          
            # File tmp/rubies/ruby-3.4.0-preview1/numeric.rb, line 8
def real?
  true
end

Returns true if self is a real number (i.e. not Complex).

rect → array

complex.c View on GitHub

An alias for rectangular

rect -> array

complex.c View on GitHub

          
            static VALUE
numeric_rect(VALUE self)
{
    return rb_assoc_new(self, INT2FIX(0));
}

Returns array [self, 0].

remainder(other) → real_number

numeric.c View on GitHub

          
            static VALUE
num_remainder(VALUE x, VALUE y)
{
    if (!rb_obj_is_kind_of(y, rb_cNumeric)) {
        do_coerce(&x, &y, TRUE);
    }
    VALUE z = num_funcall1(x, '%', y);

    if ((!rb_equal(z, INT2FIX(0))) &&
        ((rb_num_negative_int_p(x) &&
          rb_num_positive_int_p(y)) ||
         (rb_num_positive_int_p(x) &&
          rb_num_negative_int_p(y)))) {
        if (RB_FLOAT_TYPE_P(y)) {
            if (isinf(RFLOAT_VALUE(y))) {
                return x;
            }
        }
        return rb_funcall(z, '-', 1, y);
    }
    return z;
}

Returns the remainder after dividing self by other.

Of the Core and Standard Library classes, only Float and Rational use this implementation.

Examples:

11.0.remainder(4)              # => 3.0
11.0.remainder(-4)             # => 3.0
-11.0.remainder(4)             # => -3.0
-11.0.remainder(-4)            # => -3.0

12.0.remainder(4)              # => 0.0
12.0.remainder(-4)             # => 0.0
-12.0.remainder(4)             # => -0.0
-12.0.remainder(-4)            # => -0.0

13.0.remainder(4.0)            # => 1.0
13.0.remainder(Rational(4, 1)) # => 1.0

Rational(13, 1).remainder(4)   # => (1/1)
Rational(13, 1).remainder(-4)  # => (1/1)
Rational(-13, 1).remainder(4)  # => (-1/1)
Rational(-13, 1).remainder(-4) # => (-1/1)

round(digits = 0) → integer or float

numeric.c View on GitHub

          
            static VALUE
num_round(int argc, VALUE* argv, VALUE num)
{
    return flo_round(argc, argv, rb_Float(num));
}

Returns self rounded to the nearest value with a precision of digits decimal digits.

Numeric implements this by converting self to a Float and invoking Float#round.

step(to = nil, by = 1) {|n| ... } → self

step(to = nil, by = 1) → enumerator

step(to = nil, by: 1) {|n| ... } → self

step(to = nil, by: 1) → enumerator

step(by: 1, to: ) {|n| ... } → self

step(by: 1, to: ) → enumerator

step(by: , to: nil) {|n| ... } → self

step(by: , to: nil) → enumerator

numeric.c View on GitHub

          
            static VALUE
num_step(int argc, VALUE *argv, VALUE from)
{
    VALUE to, step;
    int desc, inf;

    if (!rb_block_given_p()) {
        VALUE by = Qundef;

        num_step_extract_args(argc, argv, &to, &step, &by);
        if (!UNDEF_P(by)) {
            step = by;
        }
        if (NIL_P(step)) {
            step = INT2FIX(1);
        }
        else if (rb_equal(step, INT2FIX(0))) {
            rb_raise(rb_eArgError, "step can't be 0");
        }
        if ((NIL_P(to) || rb_obj_is_kind_of(to, rb_cNumeric)) &&
            rb_obj_is_kind_of(step, rb_cNumeric)) {
            return rb_arith_seq_new(from, ID2SYM(rb_frame_this_func()), argc, argv,
                                    num_step_size, from, to, step, FALSE);
        }

        return SIZED_ENUMERATOR_KW(from, 2, ((VALUE [2]){to, step}), num_step_size, FALSE);
    }

    desc = num_step_scan_args(argc, argv, &to, &step, TRUE, FALSE);
    if (rb_equal(step, INT2FIX(0))) {
        inf = 1;
    }
    else if (RB_FLOAT_TYPE_P(to)) {
        double f = RFLOAT_VALUE(to);
        inf = isinf(f) && (signbit(f) ? desc : !desc);
    }
    else inf = 0;

    if (FIXNUM_P(from) && (inf || FIXNUM_P(to)) && FIXNUM_P(step)) {
        long i = FIX2LONG(from);
        long diff = FIX2LONG(step);

        if (inf) {
            for (;; i += diff)
                rb_yield(LONG2FIX(i));
        }
        else {
            long end = FIX2LONG(to);

            if (desc) {
                for (; i >= end; i += diff)
                    rb_yield(LONG2FIX(i));
            }
            else {
                for (; i <= end; i += diff)
                    rb_yield(LONG2FIX(i));
            }
        }
    }
    else if (!ruby_float_step(from, to, step, FALSE, FALSE)) {
        VALUE i = from;

        if (inf) {
            for (;; i = rb_funcall(i, '+', 1, step))
                rb_yield(i);
        }
        else {
            ID cmp = desc ? '<' : '>';

            for (; !RTEST(rb_funcall(i, cmp, 1, to)); i = rb_funcall(i, '+', 1, step))
                rb_yield(i);
        }
    }
    return from;
}

Generates a sequence of numbers; with a block given, traverses the sequence.

Of the Core and Standard Library classes, Integer, Float, and Rational use this implementation.

A quick example:

squares = []
1.step(by: 2, to: 10) {|i| squares.push(i*i) }
squares # => [1, 9, 25, 49, 81]

The generated sequence:

Begins with self.
Continues at intervals of by (which may not be zero).
Ends with the last number that is within or equal to to; that is, less than or equal to to if by is positive, greater than or equal to to if by is negative. If to is nil, the sequence is of infinite length.

If a block is given, calls the block with each number in the sequence; returns self. If no block is given, returns an Enumerator::ArithmeticSequence.

Keyword Arguments

With keyword arguments by and to, their values (or defaults) determine the step and limit:

# Both keywords given.
squares = []
4.step(by: 2, to: 10) {|i| squares.push(i*i) }    # => 4
squares # => [16, 36, 64, 100]
cubes = []
3.step(by: -1.5, to: -3) {|i| cubes.push(i*i*i) } # => 3
cubes   # => [27.0, 3.375, 0.0, -3.375, -27.0]
squares = []
1.2.step(by: 0.2, to: 2.0) {|f| squares.push(f*f) }
squares # => [1.44, 1.9599999999999997, 2.5600000000000005, 3.24, 4.0]

squares = []
Rational(6/5).step(by: 0.2, to: 2.0) {|r| squares.push(r*r) }
squares # => [1.0, 1.44, 1.9599999999999997, 2.5600000000000005, 3.24, 4.0]

# Only keyword to given.
squares = []
4.step(to: 10) {|i| squares.push(i*i) }           # => 4
squares # => [16, 25, 36, 49, 64, 81, 100]
# Only by given.

# Only keyword by given
squares = []
4.step(by:2) {|i| squares.push(i*i); break if i > 10 }
squares # => [16, 36, 64, 100, 144]

# No block given.
e = 3.step(by: -1.5, to: -3) # => (3.step(by: -1.5, to: -3))
e.class                      # => Enumerator::ArithmeticSequence

Positional Arguments

With optional positional arguments to and by, their values (or defaults) determine the step and limit:

squares = []
4.step(10, 2) {|i| squares.push(i*i) }    # => 4
squares # => [16, 36, 64, 100]
squares = []
4.step(10) {|i| squares.push(i*i) }
squares # => [16, 25, 36, 49, 64, 81, 100]
squares = []
4.step {|i| squares.push(i*i); break if i > 10 }  # => nil
squares # => [16, 25, 36, 49, 64, 81, 100, 121]

Implementation Notes

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*Float::EPSILON) + 1 times, where n = (limit - self)/step.

to_c → complex

complex.c View on GitHub

          
            static VALUE
numeric_to_c(VALUE self)
{
    return rb_complex_new1(self);
}

Returns self as a Complex object.

to_int → integer

numeric.c View on GitHub

          
            static VALUE
num_to_int(VALUE num)
{
    return num_funcall0(num, id_to_i);
}

Returns self as an integer; converts using method to_i in the derived class.

Of the Core and Standard Library classes, only Rational and Complex use this implementation.

Examples:

Rational(1, 2).to_int # => 0
Rational(2, 1).to_int # => 2
Complex(2, 0).to_int  # => 2
Complex(2, 1)         # Raises RangeError (non-zero imaginary part)

truncate(digits = 0) → integer or float

numeric.c View on GitHub

          
            static VALUE
num_truncate(int argc, VALUE *argv, VALUE num)
{
    return flo_truncate(argc, argv, rb_Float(num));
}

Returns self truncated (toward zero) to a precision of digits decimal digits.

Numeric implements this by converting self to a Float and invoking Float#truncate.

zero? → true or false

numeric.c View on GitHub

          
            static VALUE
num_zero_p(VALUE num)
{
    return rb_equal(num, INT2FIX(0));
}

Returns true if zero has a zero value, false otherwise.

Of the Core and Standard Library classes, only Rational and Complex use this implementation.