forked from tsai/mathnet-numerics
Christoph Ruegg
13 years ago
25 changed files with 965 additions and 633 deletions
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// <copyright file="Precision.Comparison.cs" company="Math.NET">
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// Math.NET Numerics, part of the Math.NET Project
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// http://numerics.mathdotnet.com
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// http://github.com/mathnet/mathnet-numerics
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// http://mathnetnumerics.codeplex.com
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//
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// Copyright (c) 2009-2013 Math.NET
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//
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// Permission is hereby granted, free of charge, to any person
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// obtaining a copy of this software and associated documentation
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// files (the "Software"), to deal in the Software without
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// restriction, including without limitation the rights to use,
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// copy, modify, merge, publish, distribute, sublicense, and/or sell
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// copies of the Software, and to permit persons to whom the
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// Software is furnished to do so, subject to the following
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// conditions:
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//
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// The above copyright notice and this permission notice shall be
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// included in all copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
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// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
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// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
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// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
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// OTHER DEALINGS IN THE SOFTWARE.
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// </copyright>
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namespace MathNet.Numerics |
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{ |
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public static partial class Precision |
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{ |
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/// <summary>
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/// Compares two doubles and determines which double is bigger.
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/// a < b -> -1; a ~= b (almost equal according to parameter) -> 0; a > b -> +1.
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/// </summary>
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
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/// <param name="maximumAbsoluteError">The absolute accuracy required for being almost equal.</param>
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public static int CompareTo(this double a, double b, double maximumAbsoluteError) |
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{ |
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// NANs are equal to nothing,
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// not even themselves, and thus they're not bigger or
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// smaller than anything either
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if (double.IsNaN(a) || double.IsNaN(b)) |
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{ |
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return a.CompareTo(b); |
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} |
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// If A or B are infinity (positive or negative) then
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// only return true if first is smaller
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if (double.IsInfinity(a) || double.IsInfinity(b)) |
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{ |
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return a.CompareTo(b); |
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} |
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// If the numbers are equal to within the number of decimal places
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// then there's technically no difference
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if (AlmostEqual(a, b, maximumAbsoluteError)) |
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{ |
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return 0; |
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} |
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// The numbers differ by more than the decimal places, so
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// we can check the normal way to see if the first is
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// larger than the second.
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return a.CompareTo(b); |
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} |
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/// <summary>
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/// Compares two doubles and determines which double is bigger.
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/// a < b -> -1; a ~= b (almost equal according to parameter) -> 0; a > b -> +1.
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/// </summary>
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
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/// <param name="decimalPlaces">The number of decimal places on which the values must be compared. Must be 1 or larger.</param>
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public static int CompareTo(this double a, double b, int decimalPlaces) |
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{ |
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// NANs are equal to nothing,
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// not even themselves, and thus they're not bigger or
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// smaller than anything either
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if (double.IsNaN(a) || double.IsNaN(b)) |
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{ |
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return a.CompareTo(b); |
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} |
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// If A or B are infinity (positive or negative) then
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// only return true if first is smaller
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if (double.IsInfinity(a) || double.IsInfinity(b)) |
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{ |
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return a.CompareTo(b); |
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} |
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// If the numbers are equal to within the number of decimal places
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// then there's technically no difference
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if (AlmostEqual(a, b, decimalPlaces)) |
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{ |
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return 0; |
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} |
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// The numbers differ by more than the decimal places, so
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// we can check the normal way to see if the first is
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// larger than the second.
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return a.CompareTo(b); |
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} |
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/// <summary>
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/// Compares two doubles and determines which double is bigger.
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/// a < b -> -1; a ~= b (almost equal according to parameter) -> 0; a > b -> +1.
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/// </summary>
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
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/// <param name="maximumError">The relative accuracy required for being almost equal.</param>
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public static int CompareToRelative(this double a, double b, double maximumError) |
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{ |
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// NANs are equal to nothing,
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// not even themselves, and thus they're not bigger or
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// smaller than anything either
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if (double.IsNaN(a) || double.IsNaN(b)) |
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{ |
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return a.CompareTo(b); |
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} |
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// If A or B are infinity (positive or negative) then
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// only return true if first is smaller
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if (double.IsInfinity(a) || double.IsInfinity(b)) |
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{ |
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return a.CompareTo(b); |
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} |
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// If the numbers are equal to within the number of decimal places
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// then there's technically no difference
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if (AlmostEqualRelative(a, b, maximumError)) |
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{ |
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return 0; |
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} |
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// The numbers differ by more than the decimal places, so
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// we can check the normal way to see if the first is
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// larger than the second.
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return a.CompareTo(b); |
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} |
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/// <summary>
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/// Compares two doubles and determines which double is bigger.
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/// a < b -> -1; a ~= b (almost equal according to parameter) -> 0; a > b -> +1.
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/// </summary>
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
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/// <param name="decimalPlaces">The number of decimal places on which the values must be compared. Must be 1 or larger.</param>
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public static int CompareToRelative(this double a, double b, int decimalPlaces) |
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{ |
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// NANs are equal to nothing,
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// not even themselves, and thus they're not bigger or
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// smaller than anything either
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if (double.IsNaN(a) || double.IsNaN(b)) |
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{ |
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return a.CompareTo(b); |
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} |
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// If A or B are infinity (positive or negative) then
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// only return true if first is smaller
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if (double.IsInfinity(a) || double.IsInfinity(b)) |
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{ |
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return a.CompareTo(b); |
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} |
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// If the numbers are equal to within the number of decimal places
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// then there's technically no difference
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if (AlmostEqualRelative(a, b, decimalPlaces)) |
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{ |
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return 0; |
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} |
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// The numbers differ by more than the decimal places, so
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// we can check the normal way to see if the first is
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// larger than the second.
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return a.CompareTo(b); |
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} |
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/// <summary>
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/// Compares two doubles and determines which double is bigger.
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/// a < b -> -1; a ~= b (almost equal according to parameter) -> 0; a > b -> +1.
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/// </summary>
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
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/// <param name="maxNumbersBetween">The maximum error in terms of Units in Last Place (<c>ulps</c>), i.e. the maximum number of decimals that may be different. Must be 1 or larger.</param>
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public static int CompareToNumbersBetween(this double a, double b, long maxNumbersBetween) |
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{ |
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// NANs are equal to nothing,
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// not even themselves, and thus they're not bigger or
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// smaller than anything either
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if (double.IsNaN(a) || double.IsNaN(b)) |
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{ |
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return a.CompareTo(b); |
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} |
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// If A or B are infinity (positive or negative) then
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// only return true if first is smaller
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if (double.IsInfinity(a) || double.IsInfinity(b)) |
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{ |
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return a.CompareTo(b); |
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} |
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// If the numbers are equal to within the tolerance then
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// there's technically no difference
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if (AlmostEqualNumbersBetween(a, b, maxNumbersBetween)) |
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{ |
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return 0; |
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} |
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return a.CompareTo(b); |
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} |
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/// <summary>
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/// Compares two doubles and determines if the <c>first</c> value is larger than the <c>second</c>
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/// value to within the specified number of decimal places or not.
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/// </summary>
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/// <remarks>
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/// <para>
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/// The values are equal if the difference between the two numbers is smaller than 10^(-numberOfDecimalPlaces). We divide by
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/// two so that we have half the range on each side of the numbers, e.g. if <paramref name="decimalPlaces"/> == 2, then 0.01 will equal between
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/// 0.005 and 0.015, but not 0.02 and not 0.00
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/// </para>
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/// </remarks>
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
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/// <param name="decimalPlaces">The number of decimal places.</param>
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/// <returns><c>true</c> if the first value is larger than the second value; otherwise <c>false</c>.</returns>
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public static bool IsLarger(this double a, double b, int decimalPlaces) |
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{ |
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// If A or B are a NAN, return false. NANs are equal to nothing,
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// not even themselves, and thus they're not bigger or
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// smaller than anything either
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if (double.IsNaN(a) || double.IsNaN(b)) |
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{ |
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return false; |
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} |
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return CompareTo(a, b, decimalPlaces) > 0; |
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} |
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/// <summary>
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/// Compares two doubles and determines if the <c>first</c> value is larger than the <c>second</c>
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/// value to within the specified number of decimal places or not.
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/// </summary>
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/// <remarks>
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/// <para>
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/// The values are equal if the difference between the two numbers is smaller than 10^(-numberOfDecimalPlaces). We divide by
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/// two so that we have half the range on each side of the numbers, e.g. if <paramref name="decimalPlaces"/> == 2, then 0.01 will equal between
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/// 0.005 and 0.015, but not 0.02 and not 0.00
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/// </para>
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/// </remarks>
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
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/// <param name="decimalPlaces">The number of decimal places.</param>
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/// <returns><c>true</c> if the first value is larger than the second value; otherwise <c>false</c>.</returns>
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public static bool IsLarger(this float a, float b, int decimalPlaces) |
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{ |
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// If A or B are a NAN, return false. NANs are equal to nothing,
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// not even themselves, and thus they're not bigger or
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// smaller than anything either
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if (float.IsNaN(a) || float.IsNaN(b)) |
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{ |
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return false; |
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} |
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return CompareTo(a, b, decimalPlaces) > 0; |
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} |
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/// <summary>
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/// Compares two doubles and determines if the <c>first</c> value is larger than the <c>second</c>
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/// value to within the specified number of decimal places or not.
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/// </summary>
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
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/// <param name="maximumAbsoluteError">The absolute accuracy required for being almost equal.</param>
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/// <returns><c>true</c> if the first value is larger than the second value; otherwise <c>false</c>.</returns>
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public static bool IsLarger(this double a, double b, double maximumAbsoluteError) |
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{ |
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// If A or B are a NAN, return false. NANs are equal to nothing,
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// not even themselves, and thus they're not bigger or
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// smaller than anything either
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if (double.IsNaN(a) || double.IsNaN(b)) |
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{ |
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return false; |
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} |
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return CompareTo(a, b, maximumAbsoluteError) > 0; |
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} |
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/// <summary>
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/// Compares two doubles and determines if the <c>first</c> value is larger than the <c>second</c>
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/// value to within the specified number of decimal places or not.
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/// </summary>
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
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/// <param name="maximumAbsoluteError">The absolute accuracy required for being almost equal.</param>
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/// <returns><c>true</c> if the first value is larger than the second value; otherwise <c>false</c>.</returns>
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public static bool IsLarger(this float a, float b, double maximumAbsoluteError) |
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{ |
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// If A or B are a NAN, return false. NANs are equal to nothing,
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// not even themselves, and thus they're not bigger or
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// smaller than anything either
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if (float.IsNaN(a) || float.IsNaN(b)) |
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{ |
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return false; |
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} |
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return CompareTo(a, b, maximumAbsoluteError) > 0; |
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} |
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/// <summary>
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/// Compares two doubles and determines if the <c>first</c> value is larger than the <c>second</c>
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/// value to within the specified number of decimal places or not.
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/// </summary>
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/// <remarks>
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/// <para>
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/// The values are equal if the difference between the two numbers is smaller than 10^(-numberOfDecimalPlaces). We divide by
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/// two so that we have half the range on each side of the numbers, e.g. if <paramref name="decimalPlaces"/> == 2, then 0.01 will equal between
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/// 0.005 and 0.015, but not 0.02 and not 0.00
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/// </para>
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/// </remarks>
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
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/// <param name="decimalPlaces">The number of decimal places.</param>
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/// <returns><c>true</c> if the first value is larger than the second value; otherwise <c>false</c>.</returns>
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public static bool IsLargerRelative(this double a, double b, int decimalPlaces) |
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{ |
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// If A or B are a NAN, return false. NANs are equal to nothing,
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// not even themselves, and thus they're not bigger or
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// smaller than anything either
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if (double.IsNaN(a) || double.IsNaN(b)) |
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{ |
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return false; |
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} |
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return CompareToRelative(a, b, decimalPlaces) > 0; |
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} |
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/// <summary>
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/// Compares two doubles and determines if the <c>first</c> value is larger than the <c>second</c>
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/// value to within the specified number of decimal places or not.
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/// </summary>
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/// <remarks>
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/// <para>
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/// The values are equal if the difference between the two numbers is smaller than 10^(-numberOfDecimalPlaces). We divide by
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/// two so that we have half the range on each side of the numbers, e.g. if <paramref name="decimalPlaces"/> == 2, then 0.01 will equal between
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/// 0.005 and 0.015, but not 0.02 and not 0.00
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/// </para>
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/// </remarks>
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
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/// <param name="decimalPlaces">The number of decimal places.</param>
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/// <returns><c>true</c> if the first value is larger than the second value; otherwise <c>false</c>.</returns>
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public static bool IsLargerRelative(this float a, float b, int decimalPlaces) |
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{ |
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// If A or B are a NAN, return false. NANs are equal to nothing,
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// not even themselves, and thus they're not bigger or
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// smaller than anything either
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if (float.IsNaN(a) || float.IsNaN(b)) |
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{ |
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return false; |
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} |
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return CompareToRelative(a, b, decimalPlaces) > 0; |
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} |
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/// <summary>
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/// Compares two doubles and determines if the <c>first</c> value is larger than the <c>second</c>
|
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/// value to within the specified number of decimal places or not.
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/// </summary>
|
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
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/// <param name="maximumError">The relative accuracy required for being almost equal.</param>
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/// <returns><c>true</c> if the first value is larger than the second value; otherwise <c>false</c>.</returns>
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public static bool IsLargerRelative(this double a, double b, double maximumError) |
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{ |
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// If A or B are a NAN, return false. NANs are equal to nothing,
|
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// not even themselves, and thus they're not bigger or
|
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// smaller than anything either
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if (double.IsNaN(a) || double.IsNaN(b)) |
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{ |
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return false; |
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} |
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|
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return CompareToRelative(a, b, maximumError) > 0; |
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} |
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|
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/// <summary>
|
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/// Compares two doubles and determines if the <c>first</c> value is larger than the <c>second</c>
|
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/// value to within the specified number of decimal places or not.
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/// </summary>
|
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
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/// <param name="maximumError">The relative accuracy required for being almost equal.</param>
|
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/// <returns><c>true</c> if the first value is larger than the second value; otherwise <c>false</c>.</returns>
|
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public static bool IsLargerRelative(this float a, float b, double maximumError) |
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{ |
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// If A or B are a NAN, return false. NANs are equal to nothing,
|
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// not even themselves, and thus they're not bigger or
|
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// smaller than anything either
|
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if (float.IsNaN(a) || float.IsNaN(b)) |
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{ |
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return false; |
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} |
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|
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return CompareToRelative(a, b, maximumError) > 0; |
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} |
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|
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/// <summary>
|
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/// Compares two doubles and determines if the <c>first</c> value is larger than the <c>second</c>
|
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/// value to within the tolerance or not. Equality comparison is based on the binary representation.
|
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/// </summary>
|
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/// <param name="a">The first value.</param>
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/// <param name="b">The second value.</param>
|
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/// <param name="maxNumbersBetween">The maximum number of floating point values for which the two values are considered equal. Must be 1 or larger.</param>
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/// <returns><c>true</c> if the first value is larger than the second value; otherwise <c>false</c>.</returns>
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public static bool IsLargerNumbersBetween(this double a, double b, long maxNumbersBetween) |
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{ |
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// If A or B are a NAN, return false. NANs are equal to nothing,
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// not even themselves, and thus they're not bigger or
|
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// smaller than anything either
|
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if (double.IsNaN(a) || double.IsNaN(b)) |
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{ |
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return false; |
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} |
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|
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return CompareToNumbersBetween(a, b, maxNumbersBetween) > 0; |
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} |
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|
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/// <summary>
|
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/// Compares two doubles and determines if the <c>first</c> value is larger than the <c>second</c>
|
|||
/// value to within the tolerance or not. Equality comparison is based on the binary representation.
|
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/// </summary>
|
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/// <param name="a">The first value.</param>
|
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/// <param name="b">The second value.</param>
|
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/// <param name="maxNumbersBetween">The maximum number of floating point values for which the two values are considered equal. Must be 1 or larger.</param>
|
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/// <returns><c>true</c> if the first value is larger than the second value; otherwise <c>false</c>.</returns>
|
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public static bool IsLargerNumbersBetween(this float a, float b, long maxNumbersBetween) |
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{ |
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// If A or B are a NAN, return false. NANs are equal to nothing,
|
|||
// not even themselves, and thus they're not bigger or
|
|||
// smaller than anything either
|
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if (float.IsNaN(a) || float.IsNaN(b)) |
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{ |
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return false; |
|||
} |
|||
|
|||
return CompareToNumbersBetween(a, b, maxNumbersBetween) > 0; |
|||
} |
|||
|
|||
/// <summary>
|
|||
/// Compares two doubles and determines if the <c>first</c> value is smaller than the <c>second</c>
|
|||
/// value to within the specified number of decimal places or not.
|
|||
/// </summary>
|
|||
/// <remarks>
|
|||
/// <para>
|
|||
/// The values are equal if the difference between the two numbers is smaller than 10^(-numberOfDecimalPlaces). We divide by
|
|||
/// two so that we have half the range on each side of th<paramref name="decimalPlaces"/>g. if <paramref name="decimalPlaces"/> == 2, then 0.01 will equal between
|
|||
/// 0.005 and 0.015, but not 0.02 and not 0.00
|
|||
/// </para>
|
|||
/// </remarks>
|
|||
/// <param name="a">The first value.</param>
|
|||
/// <param name="b">The second value.</param>
|
|||
/// <param name="decimalPlaces">The number of decimal places.</param>
|
|||
/// <returns><c>true</c> if the first value is smaller than the second value; otherwise <c>false</c>.</returns>
|
|||
public static bool IsSmaller(this double a, double b, int decimalPlaces) |
|||
{ |
|||
// If A or B are a NAN, return false. NANs are equal to nothing,
|
|||
// not even themselves, and thus they're not bigger or
|
|||
// smaller than anything either
|
|||
if (double.IsNaN(a) || double.IsNaN(b)) |
|||
{ |
|||
return false; |
|||
} |
|||
|
|||
return CompareTo(a, b, decimalPlaces) < 0; |
|||
} |
|||
|
|||
/// <summary>
|
|||
/// Compares two doubles and determines if the <c>first</c> value is smaller than the <c>second</c>
|
|||
/// value to within the specified number of decimal places or not.
|
|||
/// </summary>
|
|||
/// <remarks>
|
|||
/// <para>
|
|||
/// The values are equal if the difference between the two numbers is smaller than 10^(-numberOfDecimalPlaces). We divide by
|
|||
/// two so that we have half the range on each side of th<paramref name="decimalPlaces"/>g. if <paramref name="decimalPlaces"/> == 2, then 0.01 will equal between
|
|||
/// 0.005 and 0.015, but not 0.02 and not 0.00
|
|||
/// </para>
|
|||
/// </remarks>
|
|||
/// <param name="a">The first value.</param>
|
|||
/// <param name="b">The second value.</param>
|
|||
/// <param name="decimalPlaces">The number of decimal places.</param>
|
|||
/// <returns><c>true</c> if the first value is smaller than the second value; otherwise <c>false</c>.</returns>
|
|||
public static bool IsSmaller(this float a, float b, int decimalPlaces) |
|||
{ |
|||
// If A or B are a NAN, return false. NANs are equal to nothing,
|
|||
// not even themselves, and thus they're not bigger or
|
|||
// smaller than anything either
|
|||
if (float.IsNaN(a) || float.IsNaN(b)) |
|||
{ |
|||
return false; |
|||
} |
|||
|
|||
return CompareTo(a, b, decimalPlaces) < 0; |
|||
} |
|||
|
|||
/// <summary>
|
|||
/// Compares two doubles and determines if the <c>first</c> value is smaller than the <c>second</c>
|
|||
/// value to within the specified number of decimal places or not.
|
|||
/// </summary>
|
|||
/// <param name="a">The first value.</param>
|
|||
/// <param name="b">The second value.</param>
|
|||
/// <param name="maximumAbsoluteError">The absolute accuracy required for being almost equal.</param>
|
|||
/// <returns><c>true</c> if the first value is smaller than the second value; otherwise <c>false</c>.</returns>
|
|||
public static bool IsSmaller(this double a, double b, double maximumAbsoluteError) |
|||
{ |
|||
// If A or B are a NAN, return false. NANs are equal to nothing,
|
|||
// not even themselves, and thus they're not bigger or
|
|||
// smaller than anything either
|
|||
if (double.IsNaN(a) || double.IsNaN(b)) |
|||
{ |
|||
return false; |
|||
} |
|||
|
|||
return CompareTo(a, b, maximumAbsoluteError) < 0; |
|||
} |
|||
|
|||
/// <summary>
|
|||
/// Compares two doubles and determines if the <c>first</c> value is smaller than the <c>second</c>
|
|||
/// value to within the specified number of decimal places or not.
|
|||
/// </summary>
|
|||
/// <param name="a">The first value.</param>
|
|||
/// <param name="b">The second value.</param>
|
|||
/// <param name="maximumAbsoluteError">The absolute accuracy required for being almost equal.</param>
|
|||
/// <returns><c>true</c> if the first value is smaller than the second value; otherwise <c>false</c>.</returns>
|
|||
public static bool IsSmaller(this float a, float b, double maximumAbsoluteError) |
|||
{ |
|||
// If A or B are a NAN, return false. NANs are equal to nothing,
|
|||
// not even themselves, and thus they're not bigger or
|
|||
// smaller than anything either
|
|||
if (float.IsNaN(a) || float.IsNaN(b)) |
|||
{ |
|||
return false; |
|||
} |
|||
|
|||
return CompareTo(a, b, maximumAbsoluteError) < 0; |
|||
} |
|||
|
|||
/// <summary>
|
|||
/// Compares two doubles and determines if the <c>first</c> value is smaller than the <c>second</c>
|
|||
/// value to within the specified number of decimal places or not.
|
|||
/// </summary>
|
|||
/// <param name="a">The first value.</param>
|
|||
/// <param name="b">The second value.</param>
|
|||
/// <param name="decimalPlaces">The number of decimal places.</param>
|
|||
/// <returns><c>true</c> if the first value is smaller than the second value; otherwise <c>false</c>.</returns>
|
|||
public static bool IsSmallerRelative(this double a, double b, int decimalPlaces) |
|||
{ |
|||
// If A or B are a NAN, return false. NANs are equal to nothing,
|
|||
// not even themselves, and thus they're not bigger or
|
|||
// smaller than anything either
|
|||
if (double.IsNaN(a) || double.IsNaN(b)) |
|||
{ |
|||
return false; |
|||
} |
|||
|
|||
return CompareToRelative(a, b, decimalPlaces) < 0; |
|||
} |
|||
|
|||
/// <summary>
|
|||
/// Compares two doubles and determines if the <c>first</c> value is smaller than the <c>second</c>
|
|||
/// value to within the specified number of decimal places or not.
|
|||
/// </summary>
|
|||
/// <param name="a">The first value.</param>
|
|||
/// <param name="b">The second value.</param>
|
|||
/// <param name="decimalPlaces">The number of decimal places.</param>
|
|||
/// <returns><c>true</c> if the first value is smaller than the second value; otherwise <c>false</c>.</returns>
|
|||
public static bool IsSmallerRelative(this float a, float b, int decimalPlaces) |
|||
{ |
|||
// If A or B are a NAN, return false. NANs are equal to nothing,
|
|||
// not even themselves, and thus they're not bigger or
|
|||
// smaller than anything either
|
|||
if (float.IsNaN(a) || float.IsNaN(b)) |
|||
{ |
|||
return false; |
|||
} |
|||
|
|||
return CompareToRelative(a, b, decimalPlaces) < 0; |
|||
} |
|||
|
|||
/// <summary>
|
|||
/// Compares two doubles and determines if the <c>first</c> value is smaller than the <c>second</c>
|
|||
/// value to within the specified number of decimal places or not.
|
|||
/// </summary>
|
|||
/// <param name="a">The first value.</param>
|
|||
/// <param name="b">The second value.</param>
|
|||
/// <param name="maximumError">The relative accuracy required for being almost equal.</param>
|
|||
/// <returns><c>true</c> if the first value is smaller than the second value; otherwise <c>false</c>.</returns>
|
|||
public static bool IsSmallerRelative(this double a, double b, double maximumError) |
|||
{ |
|||
// If A or B are a NAN, return false. NANs are equal to nothing,
|
|||
// not even themselves, and thus they're not bigger or
|
|||
// smaller than anything either
|
|||
if (double.IsNaN(a) || double.IsNaN(b)) |
|||
{ |
|||
return false; |
|||
} |
|||
|
|||
return CompareToRelative(a, b, maximumError) < 0; |
|||
} |
|||
|
|||
/// <summary>
|
|||
/// Compares two doubles and determines if the <c>first</c> value is smaller than the <c>second</c>
|
|||
/// value to within the specified number of decimal places or not.
|
|||
/// </summary>
|
|||
/// <param name="a">The first value.</param>
|
|||
/// <param name="b">The second value.</param>
|
|||
/// <param name="maximumError">The relative accuracy required for being almost equal.</param>
|
|||
/// <returns><c>true</c> if the first value is smaller than the second value; otherwise <c>false</c>.</returns>
|
|||
public static bool IsSmallerRelative(this float a, float b, double maximumError) |
|||
{ |
|||
// If A or B are a NAN, return false. NANs are equal to nothing,
|
|||
// not even themselves, and thus they're not bigger or
|
|||
// smaller than anything either
|
|||
if (float.IsNaN(a) || float.IsNaN(b)) |
|||
{ |
|||
return false; |
|||
} |
|||
|
|||
return CompareToRelative(a, b, maximumError) < 0; |
|||
} |
|||
|
|||
/// <summary>
|
|||
/// Compares two doubles and determines if the <c>first</c> value is smaller than the <c>second</c>
|
|||
/// value to within the tolerance or not. Equality comparison is based on the binary representation.
|
|||
/// </summary>
|
|||
/// <param name="a">The first value.</param>
|
|||
/// <param name="b">The second value.</param>
|
|||
/// <param name="maxNumbersBetween">The maximum number of floating point values for which the two values are considered equal. Must be 1 or larger.</param>
|
|||
/// <returns><c>true</c> if the first value is smaller than the second value; otherwise <c>false</c>.</returns>
|
|||
public static bool IsSmallerNumbersBetween(this double a, double b, long maxNumbersBetween) |
|||
{ |
|||
// If A or B are a NAN, return false. NANs are equal to nothing,
|
|||
// not even themselves, and thus they're not bigger or
|
|||
// smaller than anything either
|
|||
if (double.IsNaN(a) || double.IsNaN(b)) |
|||
{ |
|||
return false; |
|||
} |
|||
|
|||
return CompareToNumbersBetween(a, b, maxNumbersBetween) < 0; |
|||
} |
|||
|
|||
/// <summary>
|
|||
/// Compares two doubles and determines if the <c>first</c> value is smaller than the <c>second</c>
|
|||
/// value to within the tolerance or not. Equality comparison is based on the binary representation.
|
|||
/// </summary>
|
|||
/// <param name="a">The first value.</param>
|
|||
/// <param name="b">The second value.</param>
|
|||
/// <param name="maxNumbersBetween">The maximum number of floating point values for which the two values are considered equal. Must be 1 or larger.</param>
|
|||
/// <returns><c>true</c> if the first value is smaller than the second value; otherwise <c>false</c>.</returns>
|
|||
public static bool IsSmallerNumbersBetween(this float a, float b, long maxNumbersBetween) |
|||
{ |
|||
// If A or B are a NAN, return false. NANs are equal to nothing,
|
|||
// not even themselves, and thus they're not bigger or
|
|||
// smaller than anything either
|
|||
if (float.IsNaN(a) || float.IsNaN(b)) |
|||
{ |
|||
return false; |
|||
} |
|||
|
|||
return CompareToNumbersBetween(a, b, maxNumbersBetween) < 0; |
|||
} |
|||
} |
|||
} |
|||
Loading…
Reference in new issue