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annotate CustomMath/IBBMath.cs @ 100:fa8378a30ed2

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* Add some Stream handling utilities no-open-ticket
author IBBoard <dev@ibboard.co.uk>
date Sun, 06 Mar 2011 14:51:05 +0000
parents 972cc51adeeb
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
46
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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1 // This file (IBBMath.cs) is a part of the IBBoard project and is copyright 2009 IBBoard
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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2 //
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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3 // The file and the library/program it is in are licensed under the GNU LGPL license, either version 3 of the License or (at your option) any later version. Please see COPYING.LGPL for more information and the full license.
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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4 //
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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5
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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6 using System;
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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7
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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8 namespace IBBoard.CustomMath
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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9 {
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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10 /// <summary>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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11 /// RoundType defines how a number should be rounded. "Up" always rounds up (Ceiling), "Down" always rounds down (Floor), "Banker" rounds
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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12 /// up or down as appropriate with a balanced bias (rounding towards even). Each rounding method also has a "ToHalf" version that performs
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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13 /// the same type of rounding, but to the closes half number instead of the closest whole number.
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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14 /// </summary>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
15 public enum RoundType
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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16 {
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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17 Up,
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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18 Down,
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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19 Banker,
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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20 UpToHalf,
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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21 DownToHalf,
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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22 BankerToHalf
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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23 }
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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24
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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25 /// <summary>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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26 /// IBBMath provides a number of custom Maths functions based on the core Math classes.
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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27 /// </summary>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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28 public class IBBMath
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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29 {
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
30 /// <summary>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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diff changeset
31 /// Rounds a number to the closest half, with a bias towards whole numbers. This is equivalent to 'round-to-even' in that
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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32 /// 0.25 is rounded down to 0.0 and 0.75 is rounded up to 1.0 so that a bias isn't introduced by rounding.
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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33 /// </summary>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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34 /// <param name="number">
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
35 /// The <see cref="System.Double"/> to round to the nearest 0.5
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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36 /// </param>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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37 /// <returns>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
38 /// <code>param</code> rounded to the nearest 0.5
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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39 /// </returns>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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40 public static double RoundToHalf(double number)
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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41 {
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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42 return Math.Round(number * 2) / 2;
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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43 }
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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44
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
45 /// <summary>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
46 /// Returns the largest whole or half number that is less than or equal to the specified number.
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
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47 /// </summary>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
48 /// <param name="number">
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
49 /// The <see cref="System.Double"/> to round to the nearest 0.5
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
50 /// </param>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
51 /// <returns>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
52 /// <code>param</code> rounded to the nearest 0.5 that is less than or equal to <code>param</code>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
53 /// </returns>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
54 public static double FloorToHalf(double number)
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
55 {
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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56 return Math.Floor(number * 2) / 2;
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
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57 }
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
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58
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
59 /// <summary>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
60 /// Returns the smallest whole or half number that is greater than or equal to the specified number.
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
61 /// </summary>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
62 /// <param name="number">
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
63 /// The <see cref="System.Double"/> to round to the nearest 0.5
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
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64 /// </param>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
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65 /// <returns>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
66 /// <code>param</code> rounded to the nearest 0.5 that is greater than or equal to <code>param</code>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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67 /// </returns>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
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68 public static double CeilToHalf(double number)
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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69 {
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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70 return Math.Ceiling(number * 2) / 2;
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71 }
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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72
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
73 /// <summary>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
74 /// Returns the number rounded as defined by the <code>roundType</code>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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75 /// </summary>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
76 /// <param name="number">
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
77 /// The <see cref="System.Double"/> to round
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
78 /// </param>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
79 /// <param name="roundType">
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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parents:
diff changeset
80 /// The way in which <code>number</code> should be rounded
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
81 /// </param>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
82 /// <returns>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
83 /// The rounded <see cref="System.Double"/>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
84 /// </returns>
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
85 public static double Round(double number, RoundType roundType)
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
86 {
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
87 double val;
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
88
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
89 switch (roundType)
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
90 {
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
91 case RoundType.Up:
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
92 val = Math.Ceiling(number);
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
93 break;
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
94 case RoundType.Down:
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
95 val = Math.Floor(number);
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
96 break;
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
97 case RoundType.Banker:
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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98 val = Math.Round(number);
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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parents:
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99 break;
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
100 case RoundType.UpToHalf:
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
101 val = CeilToHalf(number);
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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102 break;
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
103 case RoundType.DownToHalf:
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
104 val = FloorToHalf(number);
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
105 break;
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
parents:
diff changeset
106 case RoundType.BankerToHalf:
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
IBBoard <dev@ibboard.co.uk>
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diff changeset
107 val = RoundToHalf(number);
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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108 break;
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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109 default:
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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diff changeset
110 throw new InvalidOperationException("Unhandled round type: "+roundType);
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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111 }
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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112
298b2ff956bb * Move IBBMath to a more sensible package - we're not in Java, so "lang" isn't the catch-all package
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113 return val;
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114 }
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115
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116 /// <summary>
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117 /// Returns the number rounded up or down to the closest whole number.
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118 /// </summary>
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119 /// <param name="number">
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120 /// The <see cref="System.Double"/> to round
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121 /// </param>
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122 /// <param name="roundUp">
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123 /// <code>true</code> to round up, else rounds down
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124 /// </param>
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125 /// <returns>
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126 /// The rounded <see cref="System.Double"/>
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127 /// </returns>
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128 public static double Round(double number, bool roundUp)
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129 {
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130 return (roundUp ? Math.Ceiling(number) : Math.Floor(number));
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131 }
61
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132
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133 /// <summary>
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134 /// Takes two integers and gets the percentage of the latter that the former represents. If the numerator is less than
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135 /// or equal to the denominator then this will be a number between 0.0 and 100.0.
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136 /// </summary>
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137 /// <param name="numerator">
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138 /// The numerator of the percentage (the top number)
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139 /// </param>
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140 /// <param name="denominator">
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141 /// The denominator of the percentage (the bottom number - the divisor)
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142 /// </param>
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143 /// <returns>
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144 /// The percentage, where 100% is the double value 100.0, or positive/negative infinity where numerator is non-zero and denominator is zero, or NaN where numerator and denominator are zero
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145 /// </returns>
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146 public static double Percentage(int numerator, int denominator)
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147 {
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148 return (numerator / (double) denominator) * 100;
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149 }
46
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150 }
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151 }