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RoundingMode.php

108 lines

1	<?php
2
3	declare(strict_types=1);
4
5	namespace Brick\Math;
6
7	/**
8	* Specifies a rounding behavior for numerical operations capable of discarding precision.
9	*
10	* Each rounding mode indicates how the least significant returned digit of a rounded result
11	* is to be calculated. If fewer digits are returned than the digits needed to represent the
12	* exact numerical result, the discarded digits will be referred to as the discarded fraction
13	* regardless the digits' contribution to the value of the number. In other words, considered
14	* as a numerical value, the discarded fraction could have an absolute value greater than one.
15	*/
16	final class RoundingMode
17	{
18	/**
19	* Private constructor. This class is not instantiable.
20	*
21	* @codeCoverageIgnore
22	*/
23	private function __construct()
24	{
25	}
26
27	/**
28	* Asserts that the requested operation has an exact result, hence no rounding is necessary.
29	*
30	* If this rounding mode is specified on an operation that yields a result that
31	* cannot be represented at the requested scale, a RoundingNecessaryException is thrown.
32	*/
33	public const UNNECESSARY = 0;
34
35	/**
36	* Rounds away from zero.
37	*
38	* Always increments the digit prior to a nonzero discarded fraction.
39	* Note that this rounding mode never decreases the magnitude of the calculated value.
40	*/
41	public const UP = 1;
42
43	/**
44	* Rounds towards zero.
45	*
46	* Never increments the digit prior to a discarded fraction (i.e., truncates).
47	* Note that this rounding mode never increases the magnitude of the calculated value.
48	*/
49	public const DOWN = 2;
50
51	/**
52	* Rounds towards positive infinity.
53	*
54	* If the result is positive, behaves as for UP; if negative, behaves as for DOWN.
55	* Note that this rounding mode never decreases the calculated value.
56	*/
57	public const CEILING = 3;
58
59	/**
60	* Rounds towards negative infinity.
61	*
62	* If the result is positive, behave as for DOWN; if negative, behave as for UP.
63	* Note that this rounding mode never increases the calculated value.
64	*/
65	public const FLOOR = 4;
66
67	/**
68	* Rounds towards "nearest neighbor" unless both neighbors are equidistant, in which case round up.
69	*
70	* Behaves as for UP if the discarded fraction is >= 0.5; otherwise, behaves as for DOWN.
71	* Note that this is the rounding mode commonly taught at school.
72	*/
73	public const HALF_UP = 5;
74
75	/**
76	* Rounds towards "nearest neighbor" unless both neighbors are equidistant, in which case round down.
77	*
78	* Behaves as for UP if the discarded fraction is > 0.5; otherwise, behaves as for DOWN.
79	*/
80	public const HALF_DOWN = 6;
81
82	/**
83	* Rounds towards "nearest neighbor" unless both neighbors are equidistant, in which case round towards positive infinity.
84	*
85	* If the result is positive, behaves as for HALF_UP; if negative, behaves as for HALF_DOWN.
86	*/
87	public const HALF_CEILING = 7;
88
89	/**
90	* Rounds towards "nearest neighbor" unless both neighbors are equidistant, in which case round towards negative infinity.
91	*
92	* If the result is positive, behaves as for HALF_DOWN; if negative, behaves as for HALF_UP.
93	*/
94	public const HALF_FLOOR = 8;
95
96	/**
97	* Rounds towards the "nearest neighbor" unless both neighbors are equidistant, in which case rounds towards the even neighbor.
98	*
99	* Behaves as for HALF_UP if the digit to the left of the discarded fraction is odd;
100	* behaves as for HALF_DOWN if it's even.
101	*
102	* Note that this is the rounding mode that statistically minimizes
103	* cumulative error when applied repeatedly over a sequence of calculations.
104	* It is sometimes known as "Banker's rounding", and is chiefly used in the USA.
105	*/
106	public const HALF_EVEN = 9;
107	}
108