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RootFinding: F# module

v2
Christoph Ruegg 13 years ago
parent
commit
5749cc36e7
  1. 3
      src/FSharp/FSharp.fsproj
  2. 61
      src/FSharp/FindRoots.fs
  3. 3
      src/FSharpPortable/FSharpPortable.fsproj

3
src/FSharp/FSharp.fsproj

@ -71,8 +71,9 @@
<Compile Include="BigIntegerExtensions.fs" />
<Compile Include="BigRational.fsi" />
<Compile Include="BigRational.fs" />
<Compile Include="Fit.fs" />
<Compile Include="RandomVariable.fs" />
<Compile Include="Fit.fs" />
<Compile Include="FindRoots.fs" />
</ItemGroup>
<ItemGroup>
<Reference Include="FSharp.Core" />

61
src/FSharp/FindRoots.fs

@ -0,0 +1,61 @@
// <copyright file="FindRoots.fs" company="Math.NET">
// Math.NET Numerics, part of the Math.NET Project
// http://numerics.mathdotnet.com
// http://github.com/mathnet/mathnet-numerics
// http://mathnetnumerics.codeplex.com
//
// Copyright (c) 2009-2013 Math.NET
//
// Permission is hereby granted, free of charge, to any person
// obtaining a copy of this software and associated documentation
// files (the "Software"), to deal in the Software without
// restriction, including without limitation the rights to use,
// copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following
// conditions:
//
// The above copyright notice and this permission notice shall be
// included in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
// OTHER DEALINGS IN THE SOFTWARE.
// </copyright>
namespace MathNet.Numerics
open System
open MathNet.Numerics.RootFinding
[<CompilationRepresentation(CompilationRepresentationFlags.ModuleSuffix)>]
module FindRoots =
let private tobcl (f:'a->'b) = Func<'a,'b>(f)
let private (|>|) option orElse = match option with | Some x -> Some x | None -> orElse()
// direct algorithms
let brent maxIterations accuracy lowerBound upperBound (f:double->double) =
match Brent.TryFindRoot(tobcl f, lowerBound, upperBound, accuracy, maxIterations) with
| true, root -> Some root
| false, _ -> None
let newtonRaphsonRobust maxIterations subdivision accuracy lowerBound upperBound (f:double->double) (df:double->double) =
match RobustNewtonRaphson.TryFindRoot(tobcl f, tobcl df, lowerBound, upperBound, accuracy, maxIterations, subdivision) with
| true, root -> Some root
| false, _ -> None
// simple usage
let ofFunction lowerBound upperBound (f:double->double) = brent 100 1e-8 lowerBound upperBound f
let ofFunctionAndDerivative lowerBound upperBound (f:double->double) (df:double->double) =
newtonRaphsonRobust 100 20 1e-8 lowerBound upperBound f df
|>| fun () -> brent 100 1e-8 lowerBound upperBound f

3
src/FSharpPortable/FSharpPortable.fsproj

@ -80,6 +80,9 @@
<Compile Include="..\FSharp\Fit.fs">
<Link>Fit.fs</Link>
</Compile>
<Compile Include="..\FSharp\FindRoots.fs">
<Link>FindRoots.fs</Link>
</Compile>
<Compile Include="..\FSharp\RandomVariable.fs">
<Link>RandomVariable.fs</Link>
</Compile>

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