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// <copyright file="FindRoots.fs" 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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open System |
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open MathNet.Numerics.RootFinding |
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[<CompilationRepresentation(CompilationRepresentationFlags.ModuleSuffix)>] |
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module FindRoots = |
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let private tobcl (f:'a->'b) = Func<'a,'b>(f) |
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let private (|>|) option orElse = match option with | Some x -> Some x | None -> orElse() |
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// direct algorithms |
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let brent maxIterations accuracy lowerBound upperBound (f:double->double) = |
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match Brent.TryFindRoot(tobcl f, lowerBound, upperBound, accuracy, maxIterations) with |
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| true, root -> Some root |
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| false, _ -> None |
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let newtonRaphsonRobust maxIterations subdivision accuracy lowerBound upperBound (f:double->double) (df:double->double) = |
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match RobustNewtonRaphson.TryFindRoot(tobcl f, tobcl df, lowerBound, upperBound, accuracy, maxIterations, subdivision) with |
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| true, root -> Some root |
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| false, _ -> None |
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// simple usage |
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let ofFunction lowerBound upperBound (f:double->double) = brent 100 1e-8 lowerBound upperBound f |
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let ofFunctionAndDerivative lowerBound upperBound (f:double->double) (df:double->double) = |
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newtonRaphsonRobust 100 20 1e-8 lowerBound upperBound f df |
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|>| fun () -> brent 100 1e-8 lowerBound upperBound f |
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