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| ' Copyright 2020 Daniel Wagner O. de Medeiros | |
| ' | |
| ' This file is part of DWSIM. | |
| ' | |
| ' DWSIM is free software: you can redistribute it and/or modify | |
| ' it under the terms of the GNU General Public License as published by | |
| ' the Free Software Foundation, either version 3 of the License, or | |
| ' (at your option) any later version. | |
| ' | |
| ' DWSIM is distributed in the hope that it will be useful, | |
| ' but WITHOUT ANY WARRANTY; without even the implied warranty of | |
| ' MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
| ' GNU General Public License for more details. | |
| ' | |
| ' You should have received a copy of the GNU General Public License | |
| ' along with DWSIM. If not, see <http://www.gnu.org/licenses/>. | |
| Namespace MathEx.OptimizationL | |
| Public Class Newton | |
| Public Property Tolerance As Double = 0.0001 | |
| Public Property MaxIterations As Integer = 1000 | |
| Private _Iterations As Integer = 0 | |
| Private fxb As Func(Of Double(), Double) | |
| Private fxg As Func(Of Double(), Double()) | |
| Private _error As Double | |
| Private objval, objval0 As Double | |
| Private Solutions As List(Of Double()) | |
| Private FunctionValues As List(Of Double) | |
| Public ReadOnly Property Iterations | |
| Get | |
| Return _Iterations | |
| End Get | |
| End Property | |
| Sub New() | |
| End Sub | |
| ''' <summary> | |
| ''' Minimizes a function value using HC algorithm. | |
| ''' </summary> | |
| ''' <param name="functionbody">f(x) where x is a vector of doubles, returns the value of the function.</param> | |
| ''' <param name="functiongradient">Optional. g(x) where x is a vector of doubles, returns the value of the gradient of the function with respect to each variable.</param> | |
| ''' <param name="vars">initial values for x</param> | |
| ''' <param name="lbounds">lower bounds for x</param> | |
| ''' <param name="ubounds">upper bounds for x</param> | |
| ''' <returns>vector of variables corresponding to the function's minimum value.</returns> | |
| Public Function Solve(functionbody As Func(Of Double(), Double), functiongradient As Func(Of Double(), Double()), vars As Double(), Optional lbounds As Double() = Nothing, Optional ubounds As Double() = Nothing) As Double() | |
| Dim obj As Double = 0.0# | |
| Solutions = New List(Of Double()) | |
| FunctionValues = New List(Of Double) | |
| fxb = functionbody | |
| fxg = functiongradient | |
| If lbounds Is Nothing Then | |
| lbounds = vars.Clone() | |
| For i As Integer = 0 To lbounds.Length - 1 | |
| lbounds(i) = -1.0E+19 | |
| Next | |
| End If | |
| If ubounds Is Nothing Then | |
| ubounds = vars.Clone() | |
| For i As Integer = 0 To ubounds.Length - 1 | |
| ubounds(i) = 1.0E+19 | |
| Next | |
| End If | |
| Dim optimization As New LibOptimization.Optimization.clsOptNewtonMethod( | |
| New ObjectiveFunction(functionbody, functiongradient, 0.001, vars.Length)) | |
| 'set initialposition | |
| optimization.InitialPosition = vars | |
| 'set bpundary | |
| 'optimization.UpperBounds = ubounds | |
| 'optimization.LowerBounds = lbounds | |
| 'init | |
| optimization.Init() | |
| If optimization.IsRecentError() = True Then | |
| Throw New Exception("Optimization error") | |
| End If | |
| 'do optimization | |
| Dim it As Integer = 0 | |
| While (optimization.DoIteration(1) = False) | |
| it += 1 | |
| If it > MaxIterations Then | |
| Throw New Exception("Optimization error - max iterations reached") | |
| End If | |
| End While | |
| 'get result | |
| Return optimization.Result.ToArray() | |
| End Function | |
| End Class | |
| End Namespace | |