# Programming Ruby

### The Pragmatic Programmer's Guide

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class Numeric
 Parent: Object Version: 1.6

### Index:

+@ --@ abs coerce divmod eql? integer? modulo nonzero? remainder zero?

Subclasses: Float, Integer

Numeric is the fundamental base type for the concrete number classes Float, Fixnum, and Bignum.
 mixins Comparable: <, <=, ==, >=, >, between?

Difference between modulo and remainder. The modulo operator (``%'') always has the sign of the divisor, whereas remainder has the sign of the dividend.

 a b a.divmod(b) a / b a.modulo(b) a.remainder(b) 13 4 3, 1 3 1 1 13 -4 -4, -3 -4 -3 1 -13 4 -4, 3 -4 3 -1 -13 -4 3, -1 3 -1 -1 11.5 4 2.0, 3.5 2.875 3.5 3.5 11.5 -4 -3.0, -0.5 -2.875 -0.5 3.5 -11.5 4 -3.0, 0.5 -2.875 0.5 -3.5 -11.5 -4 2.0, -3.5 2.875 -3.5 -3.5

instance methods
+@ +num -> num

--@ --num -> aNumeric

Unary Minus---Returns the receiver's value, negated.

abs num.abs -> aNumeric

Returns the absolute value of num.

 12.abs » 12 (-34.56).abs » 34.56 -34.56.abs » 34.56

coerce num.coerce( aNumeric ) -> anArray

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.

 1.coerce(2.5) » [2.5, 1.0] 1.2.coerce(3) » [3.0, 1.2] 1.coerce(2) » [2, 1]

divmod num.divmod( aNumeric ) -> anArray

Returns an array containing the quotient and modulus obtained by dividing num by aNumeric. If q, r = x.divmod(y),
 q = floor(float(x) / float(y)) x = q * y + r

The quotient is rounded toward -infinity. See Table 22.6 on page 350.

 11.divmod(3) » [3, 2] 11.divmod(-3) » [-4, -1] 11.divmod(3.5) » [3.0, 0.5] (-11).divmod(3.5) » [-4.0, 3.0] (11.5).divmod(3.5) » [3.0, 1.0]

eql? num.eql?( aNumeric ) -> true or false

Returns true if num and aNumeric are the same type and have equal values.

 1 == 1.0 » true 1.eql?(1.0) » false (1.0).eql?(1.0) » true

integer? num.integer? -> true or false

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

modulo num.modulo( aNumeric ) -> aNumeric

Equivalent to num.divmod( aNumeric )[1].

nonzero? 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"]

remainder num.remainder( aNumeric ) -> aNumeric

If num and aNumeric have different signs, returns mod-aNumeric; otherwise, returns mod. In both cases mod is the value num.modulo( aNumeric ). The differences between remainder and modulo (%) are shown in Table 22.6 on page 350.

zero? num.zero? -> true or false

Returns true if num has a zero value.

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Extracted from the book "Programming Ruby - The Pragmatic Programmer's Guide"
Copyright © 2001 by Addison Wesley Longman, Inc. This material may be distributed only subject to the terms and conditions set forth in the Open Publication License, v1.0 or later (the latest version is presently available at http://www.opencontent.org/openpub/)).

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