Christoph Ruegg
17 years ago
4 changed files with 186 additions and 1 deletions
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// <copyright file="IInterpolation.cs" company="Math.NET">
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// Math.NET Numerics, part of the Math.NET Project
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// http://mathnet.opensourcedotnet.info
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//
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// Copyright (c) 2009 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.Interpolation |
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{ |
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/// <summary>
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/// Interpolation within the range of a discrete set of known data points.
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/// </summary>
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public interface IInterpolation |
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{ |
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/// <summary>
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/// Gets a value indicating whether the algorithm supports differentiation (interpolated derivative).
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/// </summary>
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/// <seealso cref="Differentiate(double)"/>
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/// <seealso cref="Differentiate(double, out double, out double)"/>
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bool SupportsDifferentiation { get; } |
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/// <summary>
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/// Gets a value indicating whether the algorithm supports integration (interpolated quadrature).
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/// </summary>
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/// <seealso cref="Integrate"/>
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bool SupportsIntegration { get; } |
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/// <summary>
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/// Interpolate at point t.
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/// </summary>
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/// <param name="t">Point t to interpolate at.</param>
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/// <returns>Interpolated value x(t).</returns>
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double Interpolate(double t); |
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/// <summary>
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/// Differentiate at point t.
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/// </summary>
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/// <param name="t">Point t to interpolate at.</param>
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/// <returns>Interpolated first derivative at point t.</returns>
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/// <seealso cref="SupportsDifferentiation"/>
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/// <seealso cref="Differentiate(double, out double, out double)"/>
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double Differentiate(double t); |
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/// <summary>
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/// Differentiate at point t.
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/// </summary>
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/// <param name="t">Point t to interpolate at.</param>
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/// <param name="interpolatedValue">Interpolated value x(t)</param>
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/// <param name="secondDerivative">Interpolated second derivative at point t.</param>
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/// <returns>Interpolated first derivative at point t.</returns>
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/// <seealso cref="SupportsDifferentiation"/>
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/// <seealso cref="Differentiate(double)"/>
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double Differentiate( |
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double t, |
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out double interpolatedValue, |
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out double secondDerivative); |
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/// <summary>
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/// Integrate up to point t.
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/// </summary>
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/// <param name="t">Right bound of the integration interval [a,t].</param>
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/// <returns>Interpolated definite integral over the interval [a,t].</returns>
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/// <seealso cref="SupportsIntegration"/>
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double Integrate(double t); |
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} |
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} |
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@ -0,0 +1,90 @@ |
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// <copyright file="Interpolation.cs" company="Math.NET">
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// Math.NET Numerics, part of the Math.NET Project
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// http://mathnet.opensourcedotnet.info
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//
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// Copyright (c) 2009 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.Interpolation |
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{ |
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using System; |
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using System.Collections.Generic; |
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/// <summary>
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/// Interpolation Factory.
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/// </summary>
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public static class Interpolation |
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{ |
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/// <summary>
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/// Create a rational pole-free interpolation based on arbitrary points. This is the default interpolation scheme.
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/// </summary>
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/// <param name="points">The sample points t. Supports both lists and arrays.</param>
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/// <param name="values">The sample point values x(t). Supports both lists and arrays.</param>
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/// <returns>
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/// An interpolation scheme optimized for the given sample points and values,
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/// which can then be used to compute interpolations and extrapolations
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/// on arbitrary points.
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/// </returns>
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public static IInterpolation Create( |
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IList<double> points, |
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IList<double> values) |
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{ |
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throw new NotImplementedException(); |
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} |
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/// <summary>
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/// Create a linear spline interpolation based on arbitrary points.
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/// </summary>
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/// <param name="points">The sample points t. Supports both lists and arrays.</param>
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/// <param name="values">The sample point values x(t). Supports both lists and arrays.</param>
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/// <returns>
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/// An interpolation scheme optimized for the given sample points and values,
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/// which can then be used to compute interpolations and extrapolations
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/// on arbitrary points.
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/// </returns>
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public static IInterpolation CreateLinearSpline( |
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IList<double> points, |
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IList<double> values) |
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{ |
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throw new NotImplementedException(); |
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} |
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/// <summary>
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/// Create a rational pole-free interpolation based on arbitrary points.
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/// </summary>
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/// <param name="points">The sample points t. Supports both lists and arrays.</param>
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/// <param name="values">The sample point values x(t). Supports both lists and arrays.</param>
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/// <returns>
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/// An interpolation scheme optimized for the given sample points and values,
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/// which can then be used to compute interpolations and extrapolations
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/// on arbitrary points.
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/// </returns>
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public static IInterpolation CreateRationalPoleFree( |
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IList<double> points, |
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IList<double> values) |
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{ |
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throw new NotImplementedException(); |
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} |
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} |
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} |
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