2549 lines
90 KiB
MQL5
2549 lines
90 KiB
MQL5
//+------------------------------------------------------------------+
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//| ap.mqh |
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//| Copyright 2003-2022 Sergey Bochkanov (ALGLIB project) |
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//| Copyright 2012-2023, MetaQuotes Ltd. |
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//| https://www.mql5.com |
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//+------------------------------------------------------------------+
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//| Implementation of ALGLIB library in MetaQuotes Language 5 |
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//| |
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//| The features of the library include: |
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//| - Linear algebra (direct algorithms, EVD, SVD) |
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//| - Solving systems of linear and non-linear equations |
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//| - Interpolation |
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//| - Optimization |
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//| - FFT (Fast Fourier Transform) |
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//| - Numerical integration |
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//| - Linear and nonlinear least-squares fitting |
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//| - Ordinary differential equations |
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//| - Computation of special functions |
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//| - Descriptive statistics and hypothesis testing |
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//| - Data analysis - classification, regression |
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//| - Implementing linear algebra algorithms, interpolation, etc. |
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//| in high-precision arithmetic (using MPFR) |
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//| |
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//| This file is free software; you can redistribute it and/or |
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//| modify it under the terms of the GNU General Public License as |
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//| published by the Free Software Foundation (www.fsf.org); either |
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//| version 2 of the License, or (at your option) any later version. |
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//| |
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//| This program is distributed in the hope that it will be useful, |
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//| but WITHOUT ANY WARRANTY; without even the implied warranty of |
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//| MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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//| GNU General Public License for more details. |
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//+------------------------------------------------------------------+
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#include <Object.mqh>
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#include "matrix.mqh"
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#include "bitconvert.mqh"
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//---
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#define IsPosInf(value) (AL_POSINF==value)
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#define IsNegInf(value) (AL_NEGINF==value)
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//+------------------------------------------------------------------+
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//| |
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//+------------------------------------------------------------------+
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double AL_NaN =CInfOrNaN::NaN(); //---AL_NaN
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double AL_POSINF=CInfOrNaN::PositiveInfinity(); //---+infinity 1.#INF
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double AL_NEGINF=CInfOrNaN::NegativeInfinity(); //----infinity -1.#INF
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//+------------------------------------------------------------------+
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//| Reverse communication structure |
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//+------------------------------------------------------------------+
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struct RCommState
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{
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public:
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int stage;
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CRowInt ia;
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bool ba[];
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CRowDouble ra;
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CRowComplex ca;
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RCommState(void) { stage=-1; }
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~RCommState(void) {}
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void Copy(const RCommState &obj);
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//--- overloading
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void operator=(const RCommState &obj) { Copy(obj); }
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};
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//+------------------------------------------------------------------+
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//| Create a copy |
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//+------------------------------------------------------------------+
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void RCommState::Copy(const RCommState &obj)
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{
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//--- copy a variable
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stage=obj.stage;
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//--- copy arrays
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ia=obj.ia;
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ArrayCopy(ba,obj.ba);
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ra=obj.ra;
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ca=obj.ca;
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}
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//+------------------------------------------------------------------+
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//| Internal functions |
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//+------------------------------------------------------------------+
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enum TRACE_MODE { TRACE_NONE,TRACE_FILE };
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//+------------------------------------------------------------------+
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//| |
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//+------------------------------------------------------------------+
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class CAp
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{
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public:
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//--- variable that determines whether an exception happened
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static bool exception_happened;
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//--- len
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template <typename T>
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static int Len(const T &a[]);
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static int Len(const CRowInt &a);
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static int Len(const CRowDouble &a);
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static int Len(const CRowComplex &a);
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//--- rows count
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static int Rows(const CMatrixInt &a);
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static int Rows(const CMatrixDouble &a);
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static int Rows(const CMatrixComplex &a);
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//--- cols count
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static int Cols(const CMatrixInt &a);
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static int Cols(const CMatrixDouble &a);
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static int Cols(const CMatrixComplex &a);
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//--- swap
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template <typename T>
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static void Swap(T &a,T &b);
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template <typename T>
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static void Swap(T &a[],T &b[]);
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static void Swap(vector<double> &a,vector<double> &b);
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static void Swap(vector<float> &a,vector<float> &b);
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static void Swap(vector<complex> &a,vector<complex> &b);
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static void Swap(CMatrixInt &a,CMatrixInt &b);
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static void Swap(CMatrixDouble &a,CMatrixDouble &b);
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static void Swap(CMatrixComplex &a,CMatrixComplex &b);
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//--- check assertions
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static bool Assert(const bool cond);
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static bool Assert(const bool cond,const string s);
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static bool SetErrorFlag(bool &flag,bool cond,string xdesc);
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static void SetErrorFlagDiff(bool &flag,double val,double refval,double tol,double s);
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//--- determination of accuracy
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static int ThresHoldToDPS(const double threshold);
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//--- join string
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static string StringJoin(const string sep,const string &a[]);
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//--- convert to string
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static string Format(const complex &a,const int dps);
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static string Format(const bool &a[]);
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static string Format(const int &a[]);
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static string Format(const double &a[],const int dps);
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static string Format(const vector<double> &a,const int dps);
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static string Format(const complex &a[],const int dps);
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static string Format(const vector<complex> &a,const int dps);
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static string FormatB(CMatrixInt &a);
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static string Format(CMatrixInt &a);
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static string Format(CMatrixDouble &a,const int dps);
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static string Format(CMatrixComplex &a,const int dps);
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//--- work with matrix
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static bool IsSymmetric(const CMatrixDouble &a);
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static bool IsHermitian(const CMatrixComplex &a);
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static bool ForceSymmetric(CMatrixDouble &a);
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static bool ForceHermitian(CMatrixComplex &a);
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//--- trace
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static void TraceFile(string tags,string filename);
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static void TraceDisable(void);
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static bool IsTraceEnabled(string tag);
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static void Trace(string s);
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private:
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static TRACE_MODE m_TraceMode;
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static string m_TraceTags;
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static string m_TraceFilename;
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};
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//+------------------------------------------------------------------+
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//| |
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//+------------------------------------------------------------------+
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TRACE_MODE CAp::m_TraceMode=TRACE_NONE;
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string CAp::m_TraceTags="";
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string CAp::m_TraceFilename="";
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//+------------------------------------------------------------------+
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//| Initialize variable |
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//+------------------------------------------------------------------+
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bool CAp::exception_happened=false;
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//+------------------------------------------------------------------+
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//| Get array lenght |
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//+------------------------------------------------------------------+
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template <typename T>
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int CAp::Len(const T &a[])
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{
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return(ArraySize(a));
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}
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//+------------------------------------------------------------------+
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//| Get array lenght |
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//+------------------------------------------------------------------+
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int CAp::Len(const CRowInt &a)
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{
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return((int)a.Size());
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}
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//+------------------------------------------------------------------+
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//| Get array lenght |
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//+------------------------------------------------------------------+
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int CAp::Len(const CRowDouble &a)
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{
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return((int)a.Size());
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}
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//+------------------------------------------------------------------+
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//| Get array lenght |
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//+------------------------------------------------------------------+
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int CAp::Len(const CRowComplex &a)
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{
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return((int)a.Size());
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}
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//+------------------------------------------------------------------+
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//| Get rows count |
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//+------------------------------------------------------------------+
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int CAp::Rows(const CMatrixInt &a)
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{
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return(a.Size());
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}
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//+------------------------------------------------------------------+
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//| Get rows count |
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//+------------------------------------------------------------------+
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int CAp::Rows(const CMatrixDouble &a)
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{
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return(a.Size());
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}
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//+------------------------------------------------------------------+
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//| Get rows count |
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//+------------------------------------------------------------------+
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int CAp::Rows(const CMatrixComplex &a)
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{
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return(a.Size());
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}
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//+------------------------------------------------------------------+
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//| Get cols count |
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//+------------------------------------------------------------------+
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int CAp::Cols(const CMatrixInt &a)
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{
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//--- check
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if(a.Size()==0)
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return(0);
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//--- return result
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return(a[0].Size());
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}
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//+------------------------------------------------------------------+
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//| Get rows count |
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//+------------------------------------------------------------------+
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int CAp::Cols(const CMatrixDouble &a)
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{
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return(a.Cols());
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}
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//+------------------------------------------------------------------+
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//| Get rows count |
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//+------------------------------------------------------------------+
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int CAp::Cols(const CMatrixComplex &a)
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{
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return(a.Cols());
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}
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//+------------------------------------------------------------------+
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//| Swap |
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//+------------------------------------------------------------------+
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template <typename T>
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void CAp::Swap(T &a,T &b)
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{
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T t=a;
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a=b;
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b=t;
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}
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//+------------------------------------------------------------------+
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//| Swap |
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//+------------------------------------------------------------------+
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template <typename T>
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void CAp::Swap(T &a[],T &b[])
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{
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ArraySwap(a,b);
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}
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//+------------------------------------------------------------------+
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//| Swap |
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//+------------------------------------------------------------------+
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void CAp::Swap(vector<double> &a,vector<double> &b)
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{
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a.Swap(b);
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}
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//+------------------------------------------------------------------+
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//| Swap |
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//+------------------------------------------------------------------+
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void CAp::Swap(vector<float> &a,vector<float> &b)
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{
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a.Swap(b);
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}
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//+------------------------------------------------------------------+
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//| Swap |
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//+------------------------------------------------------------------+
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void CAp::Swap(vector<complex> &a,vector<complex> &b)
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{
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a.Swap(b);
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}
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//+------------------------------------------------------------------+
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//| Swap |
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//+------------------------------------------------------------------+
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void CAp::Swap(CMatrixInt &a,CMatrixInt &b)
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{
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//--- create matrix
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CMatrixInt t;
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//--- swap
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t=a;
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a=b;
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b=t;
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}
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//+------------------------------------------------------------------+
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//| Swap |
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//+------------------------------------------------------------------+
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void CAp::Swap(CMatrixDouble &a,CMatrixDouble &b)
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{
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//--- create matrix
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CMatrixDouble t;
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//--- swap
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t=a;
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a=b;
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b=t;
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}
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//+------------------------------------------------------------------+
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//| Swap |
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//+------------------------------------------------------------------+
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void CAp::Swap(CMatrixComplex &a,CMatrixComplex &b)
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{
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//--- create matrix
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CMatrixComplex t;
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//--- swap
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t=a;
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a=b;
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b=t;
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}
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//+------------------------------------------------------------------+
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//| Check assertions |
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//+------------------------------------------------------------------+
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bool CAp::Assert(const bool cond)
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{
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return(Assert(cond,"ALGLIB: assertion failed"));
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}
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//+------------------------------------------------------------------+
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//| Check assertions |
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//+------------------------------------------------------------------+
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bool CAp::Assert(const bool cond,const string s)
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{
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//--- check
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if(!cond)
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{
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Print(__FUNCTION__+" " + s);
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exception_happened=true;
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return(false);
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}
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//--- the assertion is true
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return(true);
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}
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//+------------------------------------------------------------------+
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//| |
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//+------------------------------------------------------------------+
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bool CAp::SetErrorFlag(bool &flag,bool cond,string xdesc)
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{
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if(cond)
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{
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flag=true;
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Print(xdesc);
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}
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//---
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return(flag);
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}
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//+------------------------------------------------------------------+
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//| Internally calls SetErrorFlag() with condition: |
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//| Abs(Val-RefVal)>Tol*Max(Abs(RefVal),S) |
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//| This function is used to test relative error in Val against |
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//| RefVal, with relative error being replaced by absolute when scale|
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//| of RefVal is less than S. |
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//| This function returns value of COND. |
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//+------------------------------------------------------------------+
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void CAp::SetErrorFlagDiff(bool &flag,double val,double refval,
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double tol,double s)
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{
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CAp::SetErrorFlag(flag,MathAbs(val-refval)>(tol*MathMax(MathAbs(refval),s)),"apserv.ap:162");
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}
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//+------------------------------------------------------------------+
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//| returns dps (digits-of-precision) value corresponding to |
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//| threshold. |
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//| dps(0.9) = dps(0.5) = dps(0.1) = 0 |
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//| dps(0.09) = dps(0.05) = dps(0.01) = 1 |
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//| and so on |
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//+------------------------------------------------------------------+
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int CAp::ThresHoldToDPS(const double threshold)
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{
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//--- initialization
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int res=0;
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double t=1.0;
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for(res=0; t/10>threshold*(1+1E-10); res++)
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t/=10;
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//--- return result
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return(res);
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}
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//+------------------------------------------------------------------+
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//| Concatenation |
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//+------------------------------------------------------------------+
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string CAp::StringJoin(const string sep,const string &a[])
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{
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int size=ArraySize(a);
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//--- check
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if(size==0)
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{
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Print(__FUNCTION__+": array size error");
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return(NULL);
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}
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//--- concatenation
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string res="";
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for(int i=0; i<size; i++)
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{
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StringAdd(res,a[i]);
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if(i!=size-1)
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StringAdd(res,sep);
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}
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//--- return result
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return(res);
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}
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//+------------------------------------------------------------------+
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//| Prints formatted complex |
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//+------------------------------------------------------------------+
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string CAp::Format(const complex &a,const int dps)
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{
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//--- definition of output style
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string fmt;
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if(dps>=0)
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fmt="f";
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else
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fmt="e";
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//--- get sign of the imaginary part
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string sign;
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if(a.imag>=0)
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sign="+";
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else
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sign="-";
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//--- converting
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int d=(int)MathAbs(dps);
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string fmtx=StringFormat(".%d" + fmt,d);
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string fmty=StringFormat(".%d" + fmt,d);
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//--- get result
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string res=StringFormat("%" + fmtx,a.real) + sign +
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StringFormat("%" + fmty,MathAbs(a.imag)) + "i";
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StringReplace(res,",",".");
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//--- return result
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return(res);
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}
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//+------------------------------------------------------------------+
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//| Prints formatted array |
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//+------------------------------------------------------------------+
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string CAp::Format(const bool &a[])
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{
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int size=ArraySize(a);
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//--- check
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if(size==0)
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{
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Print(__FUNCTION__+": array size error");
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return(NULL);
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}
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//--- converting
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string result[];
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ArrayResizeAL(result,size);
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for(int i=0; i<size; i++)
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{
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if(a[i]==0)
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result[i]="true";
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else
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result[i]="false";
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}
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//--- return result
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return("{" + StringJoin(",",result) + "}");
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}
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//+------------------------------------------------------------------+
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//| Prints formatted array |
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//+------------------------------------------------------------------+
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string CAp::Format(const int &a[])
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{
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int size=ArraySize(a);
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//--- check
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if(size==0)
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{
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Print(__FUNCTION__+": array size error");
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return(NULL);
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}
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//--- converting
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string result[];
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ArrayResizeAL(result,size);
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for(int i=0; i<size; i++)
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result[i]=IntegerToString(a[i]);
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//--- return result
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return("{" + StringJoin(",",result) + "}");
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}
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//+------------------------------------------------------------------+
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//| Prints formatted array |
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//+------------------------------------------------------------------+
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string CAp::Format(const double &a[],const int dps)
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{
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int size=ArraySize(a);
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//--- check
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if(size==0)
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{
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Print(__FUNCTION__+": array size error");
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return(NULL);
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}
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string result[];
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ArrayResizeAL(result,size);
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//--- definition of output style
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string sfmt;
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if(dps>=0)
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sfmt="f";
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else
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sfmt="e";
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//--- converting
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int d=(int)MathAbs(dps);
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string fmt=StringFormat(".%d" + sfmt,d);
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for(int i=0; i<size; i++)
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{
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result[i]=StringFormat("%" + fmt,a[i]);
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StringReplace(result[i],",",".");
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}
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//--- return result
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return("{" + StringJoin(",",result) + "}");
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}
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//+------------------------------------------------------------------+
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//| Prints formatted array |
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//+------------------------------------------------------------------+
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string CAp::Format(const vector<double> &a,const int dps)
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{
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ulong size=a.Size();
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//--- check
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if(size==0)
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{
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Print(__FUNCTION__+": vector size error");
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return(NULL);
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}
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string result[];
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ArrayResizeAL(result,(int)size);
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//--- definition of output style
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string sfmt;
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if(dps>=0)
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sfmt="f";
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else
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sfmt="e";
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//--- converting
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int d=(int)MathAbs(dps);
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string fmt=StringFormat(".%d" + sfmt,d);
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for(ulong i=0; i<size; i++)
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{
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result[i]=StringFormat("%" + fmt,a[i]);
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StringReplace(result[i],",",".");
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}
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//--- return result
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return("{" + StringJoin(",",result) + "}");
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}
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//+------------------------------------------------------------------+
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//| Prints formatted array |
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//+------------------------------------------------------------------+
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string CAp::Format(const complex &a[],const int dps)
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{
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int size=ArraySize(a);
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//--- check
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|
if(size==0)
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{
|
|
Print(__FUNCTION__+": array size error");
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return(NULL);
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}
|
|
string result[];
|
|
ArrayResizeAL(result,size);
|
|
//--- definition of output style
|
|
string fmt;
|
|
if(dps>=0)
|
|
fmt="f";
|
|
else
|
|
fmt="e";
|
|
//--- converting
|
|
int d=(int)MathAbs(dps);
|
|
string fmtx=StringFormat(".%d" + fmt,d);
|
|
string fmty=StringFormat(".%d" + fmt,d);
|
|
string sign;
|
|
for(int i=0; i<size; i++)
|
|
{
|
|
//--- definition of the sign
|
|
if(a[i].imag>=0)
|
|
sign="+";
|
|
else
|
|
sign="-";
|
|
//--- fill result
|
|
result[i]=StringFormat("%" + fmtx,a[i].real) + sign +
|
|
StringFormat("%" + fmty,MathAbs(a[i].imag)) + "i";
|
|
StringReplace(result[i],",",".");
|
|
}
|
|
//--- return result
|
|
return("{" + StringJoin(",",result) + "}");
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Prints formatted matrix |
|
|
//+------------------------------------------------------------------+
|
|
string CAp::FormatB(CMatrixInt &a)
|
|
{
|
|
int m=a.Rows();
|
|
//--- check
|
|
if(m==0)
|
|
{
|
|
Print(__FUNCTION__+": array size error");
|
|
return(NULL);
|
|
}
|
|
int n=a.Cols();
|
|
//--- check
|
|
if(n==0)
|
|
{
|
|
Print(__FUNCTION__+": array size error");
|
|
return(NULL);
|
|
}
|
|
//--- prepare arrays
|
|
bool line[];
|
|
string result[];
|
|
ArrayResizeAL(line,n);
|
|
ArrayResizeAL(result,m);
|
|
//--- converting
|
|
for(int i=0; i<m; i++)
|
|
{
|
|
for(int j=0; j<n; j++)
|
|
line[j]=(bool)(a.Get(i,j));
|
|
result[i]=Format(line);
|
|
}
|
|
//--- return result
|
|
return("{" + StringJoin(",",result) + "}");
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Prints formatted matrix |
|
|
//+------------------------------------------------------------------+
|
|
string CAp::Format(CMatrixInt &a)
|
|
{
|
|
int m=a.Rows();
|
|
//--- check
|
|
if(m==0)
|
|
{
|
|
Print(__FUNCTION__+": array size error");
|
|
return(NULL);
|
|
}
|
|
int n=a.Cols();
|
|
//--- check
|
|
if(n==0)
|
|
{
|
|
Print(__FUNCTION__+": array size error");
|
|
return(NULL);
|
|
}
|
|
//--- prepare arrays
|
|
int line[];
|
|
string result[];
|
|
ArrayResizeAL(line,n);
|
|
ArrayResizeAL(result,m);
|
|
//--- converting
|
|
for(int i=0; i<m; i++)
|
|
{
|
|
for(int j=0; j<n; j++)
|
|
line[j]=a.Get(i,j);
|
|
result[i]=Format(line);
|
|
}
|
|
//--- return result
|
|
return("{" + StringJoin(",",result) + "}");
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Prints formatted matrix |
|
|
//+------------------------------------------------------------------+
|
|
string CAp::Format(CMatrixDouble &a,const int dps)
|
|
{
|
|
ulong m=a.Rows();
|
|
//--- check
|
|
if(m==0)
|
|
{
|
|
Print(__FUNCTION__+": array size error");
|
|
return(NULL);
|
|
}
|
|
ulong n=a.Cols();
|
|
//--- check
|
|
if(n==0)
|
|
{
|
|
Print(__FUNCTION__+": array size error");
|
|
return(NULL);
|
|
}
|
|
//--- prepare arrays
|
|
string result[];
|
|
ArrayResizeAL(result,(int)m);
|
|
//--- converting
|
|
for(ulong i=0; i<m; i++)
|
|
{
|
|
vector<double> v=a[i];
|
|
result[i]=Format(v,dps);
|
|
}
|
|
//--- return result
|
|
return("{" + StringJoin(",",result) + "}");
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Prints formatted matrix |
|
|
//+------------------------------------------------------------------+
|
|
string CAp::Format(CMatrixComplex &a,const int dps)
|
|
{
|
|
ulong m=a.Rows();
|
|
//--- check
|
|
if(m==0)
|
|
{
|
|
Print(__FUNCTION__+": matrix size error");
|
|
return(NULL);
|
|
}
|
|
ulong n=a.Cols();
|
|
//--- check
|
|
if(n==0)
|
|
{
|
|
Print(__FUNCTION__+": matrix size error");
|
|
return(NULL);
|
|
}
|
|
//--- prepare arrays
|
|
string result[];
|
|
ArrayResizeAL(result,(int)m);
|
|
//--- converting
|
|
for(ulong i=0; i<m; i++)
|
|
{
|
|
vector<complex> v=a[i];
|
|
result[i]=Format(v,dps);
|
|
}
|
|
//--- return result
|
|
return("{" + StringJoin(",",result) + "}");
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| checks that matrix is symmetric. |
|
|
//| max|A-A^T| is calculated; if it is within 1.0E-14 of max|A|, |
|
|
//| matrix is considered symmetric |
|
|
//+------------------------------------------------------------------+
|
|
bool CAp::IsSymmetric(const CMatrixDouble &a)
|
|
{
|
|
ulong n=a.Rows();
|
|
//--- check
|
|
if(n!=a.Cols())
|
|
return(false);
|
|
//--- check
|
|
if(n==0)
|
|
return(true);
|
|
//--- check for symmetry
|
|
double mx=0;
|
|
double err=0;
|
|
for(ulong i=0; i<n; i++)
|
|
{
|
|
for(ulong j=i+1; j<n; j++)
|
|
{
|
|
double v1=a.Get(i,j);
|
|
double v2=a.Get(j,i);
|
|
if(!MathIsValidNumber(v1))
|
|
return(false);
|
|
if(!MathIsValidNumber(v2))
|
|
return(false);
|
|
err=MathMax(err,MathAbs(v1-v2));
|
|
mx =MathMax(mx,MathAbs(v1));
|
|
mx =MathMax(mx,MathAbs(v2));
|
|
}
|
|
double v=a.Get(i,i);
|
|
if(!MathIsValidNumber(v))
|
|
return(false);
|
|
mx=MathMax(mx,MathAbs(v));
|
|
}
|
|
//--- check
|
|
if(mx==0)
|
|
return(true);
|
|
//--- check
|
|
if(err/mx<=1.0E-14)
|
|
return(true);
|
|
//--- return result
|
|
return(false);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| checks that matrix is Hermitian. |
|
|
//| max|A-A^H| is calculated; if it is within 1.0E-14 of max|A|, |
|
|
//| matrix is considered Hermitian |
|
|
//+------------------------------------------------------------------+
|
|
bool CAp::IsHermitian(const CMatrixComplex &a)
|
|
{
|
|
ulong n=a.Rows();
|
|
//--- check
|
|
if(n!=a.Cols())
|
|
return(false);
|
|
//--- check
|
|
if(n==0)
|
|
return(true);
|
|
//--- initialization
|
|
double mx=0;
|
|
double err=0;
|
|
complex v1,v2,vt;
|
|
//--- check for Hermitian
|
|
for(ulong i=0; i<n; i++)
|
|
{
|
|
for(ulong j=i+1; j<n; j++)
|
|
{
|
|
v1=a.Get(i,j);
|
|
v2=a.Get(j,i);
|
|
//--- checks
|
|
if(!CMath::IsFinite(v1.real))
|
|
return(false);
|
|
if(!CMath::IsFinite(v1.imag))
|
|
return(false);
|
|
if(!CMath::IsFinite(v2.real))
|
|
return(false);
|
|
if(!CMath::IsFinite(v2.imag))
|
|
return(false);
|
|
//--- change values
|
|
vt.real=v1.real-v2.real;
|
|
vt.imag=v1.imag+v2.imag;
|
|
err=MathMax(err,CMath::AbsComplex(vt));
|
|
mx=MathMax(mx,CMath::AbsComplex(v1));
|
|
mx=MathMax(mx,CMath::AbsComplex(v2));
|
|
}
|
|
v1=a.Get(i,i);
|
|
//--- checks
|
|
if(!CMath::IsFinite(v1.real))
|
|
return(false);
|
|
if(!CMath::IsFinite(v1.imag))
|
|
return(false);
|
|
//--- change values
|
|
err=MathMax(err,MathAbs(v1.imag));
|
|
mx=MathMax(mx,CMath::AbsComplex(v1));
|
|
}
|
|
//--- check
|
|
if(mx==0)
|
|
return(true);
|
|
//--- check
|
|
if(err/mx<=1.0E-14)
|
|
return(true);
|
|
//--- return result
|
|
return(false);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Forces symmetricity by copying upper half of A to the lower one |
|
|
//+------------------------------------------------------------------+
|
|
bool CAp::ForceSymmetric(CMatrixDouble &a)
|
|
{
|
|
ulong n=a.Rows();
|
|
//--- check
|
|
if(n!=a.Cols())
|
|
return(false);
|
|
//--- check
|
|
if(n==0)
|
|
return(true);
|
|
//--- change matrix
|
|
matrix<double> m=a.Transpose();
|
|
a=a.TriL()+m.TriU(1);
|
|
//--- return result
|
|
return(true);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Forces Hermiticity by copying upper half of A to the lower one |
|
|
//+------------------------------------------------------------------+
|
|
bool CAp::ForceHermitian(CMatrixComplex &a)
|
|
{
|
|
ulong n=a.Rows();
|
|
//--- check
|
|
if(n!=a.Cols())
|
|
return(false);
|
|
//--- check
|
|
if(n==0)
|
|
return(true);
|
|
//--- change matrix
|
|
complex c;
|
|
for(ulong i=0; i<n; i++)
|
|
for(ulong j=i+1; j<n; j++)
|
|
{
|
|
c=a.Get(j,i);
|
|
c.imag=-c.imag;
|
|
a.Set(i,j,c);
|
|
}
|
|
//--- return result
|
|
return(true);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Start trace |
|
|
//+------------------------------------------------------------------+
|
|
void CAp::TraceFile(string tags,string filename)
|
|
{
|
|
m_TraceMode =TRACE_FILE;
|
|
StringToLower(tags);
|
|
m_TraceTags ="," + tags + ",";
|
|
m_TraceFilename=filename;
|
|
Trace("####################################################################################################\r\n");
|
|
Trace("# TRACING ENABLED: " + TimeToString(TimeCurrent(),TIME_DATE | TIME_SECONDS) + "\r\n");
|
|
Trace("# TRACE TAGS: '" + tags + "'\r\n");
|
|
Trace("####################################################################################################\r\n");
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Stop trace |
|
|
//+------------------------------------------------------------------+
|
|
void CAp::TraceDisable(void)
|
|
{
|
|
m_TraceMode =TRACE_NONE;
|
|
m_TraceTags ="";
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Check trace enabled |
|
|
//+------------------------------------------------------------------+
|
|
bool CAp::IsTraceEnabled(string tag)
|
|
{
|
|
//--- trace disabled
|
|
if(m_TraceMode==TRACE_NONE)
|
|
return(false);
|
|
//--- contains tag (followed by comma, which means exact match)
|
|
StringToLower(tag);
|
|
if(StringFind(m_TraceTags,("," + tag + ",")) >= 0)
|
|
return(true);
|
|
//--- contains tag (followed by dot, which means match with child)
|
|
if(StringFind(m_TraceTags,("," + tag + ".")) >= 0)
|
|
return(true);
|
|
//---nothing
|
|
return(false);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Trace |
|
|
//+------------------------------------------------------------------+
|
|
void CAp::Trace(string s)
|
|
{
|
|
if(m_TraceMode==TRACE_FILE)
|
|
{
|
|
int handle=FileOpen(m_TraceFilename,FILE_READ|FILE_WRITE|FILE_TXT|FILE_ANSI);
|
|
if(handle<=0 || !FileSeek(handle,0,SEEK_END))
|
|
return;
|
|
FileWriteString(handle,s);
|
|
FileClose(handle);
|
|
}
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Portable high quality random number generator state. |
|
|
//| Initialized with HQRNDRandomize() or HQRNDSeed(). |
|
|
//| Fields: |
|
|
//| S1, S2 - seed values |
|
|
//| V - precomputed value |
|
|
//| MagicV - 'magic' value used to determine whether State|
|
|
//| structure was correctly initialized. |
|
|
//+------------------------------------------------------------------+
|
|
class CHighQualityRandState
|
|
{
|
|
public:
|
|
//--- variables
|
|
int m_s1;
|
|
int m_s2;
|
|
double m_v;
|
|
int m_magicv;
|
|
//--- constructor, destructor
|
|
CHighQualityRandState(void) { ZeroMemory(this); }
|
|
~CHighQualityRandState(void) {}
|
|
//---
|
|
void Copy(const CHighQualityRandState &obj);
|
|
//--- overloading
|
|
void operator=(const CHighQualityRandState &obj) { Copy(obj); }
|
|
};
|
|
//+------------------------------------------------------------------+
|
|
//| |
|
|
//+------------------------------------------------------------------+
|
|
void CHighQualityRandState::Copy(const CHighQualityRandState &obj)
|
|
{
|
|
m_s1=obj.m_s1;
|
|
m_s2=obj.m_s2;
|
|
m_magicv=obj.m_magicv;
|
|
m_v=obj.m_v;
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Portable high quality random number generator state. |
|
|
//| Initialized with HQRNDRandomize() or HQRNDSeed(). |
|
|
//| Fields: |
|
|
//| S1, S2 - seed values |
|
|
//| V - precomputed value |
|
|
//| MagicV - 'magic' value used to determine whether State|
|
|
//| structure was correctly initialized. |
|
|
//+------------------------------------------------------------------+
|
|
class CHighQualityRandStateShell
|
|
{
|
|
private:
|
|
CHighQualityRandState m_innerobj;
|
|
|
|
public:
|
|
//--- constructors, destructor
|
|
CHighQualityRandStateShell(void) {}
|
|
CHighQualityRandStateShell(CHighQualityRandState &obj);
|
|
~CHighQualityRandStateShell(void) {}
|
|
//--- method
|
|
CHighQualityRandState *GetInnerObj(void) { return(GetPointer(m_innerobj)); }
|
|
};
|
|
//+------------------------------------------------------------------+
|
|
//| Copy |
|
|
//+------------------------------------------------------------------+
|
|
CHighQualityRandStateShell::CHighQualityRandStateShell(CHighQualityRandState &obj)
|
|
{
|
|
//--- copy
|
|
m_innerobj.m_s1=obj.m_s1;
|
|
m_innerobj.m_s2=obj.m_s2;
|
|
m_innerobj.m_v=obj.m_v;
|
|
m_innerobj.m_magicv=obj.m_magicv;
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Portable high quality random number generator |
|
|
//+------------------------------------------------------------------+
|
|
class CHighQualityRand
|
|
{
|
|
public:
|
|
//--- static class members
|
|
static const int m_HQRndMax;
|
|
static const int m_HQRndM1;
|
|
static const int m_HQRndM2;
|
|
static const int m_HQRndMagic;
|
|
//--- public methods
|
|
static void HQRndRandomize(CHighQualityRandState &state);
|
|
static void HQRndSeed(const int s1,const int s2,CHighQualityRandState &state);
|
|
static double HQRndUniformR(CHighQualityRandState &state);
|
|
static int HQRndUniformI(CHighQualityRandState &state,const int n);
|
|
static double HQRndNormal(CHighQualityRandState &state);
|
|
static void HQRndNormalV(CHighQualityRandState &state,int n,CRowDouble &x);
|
|
static void HQRndNormalM(CHighQualityRandState &state,int m,int n,CMatrixDouble &x);
|
|
static void HQRndUnit2(CHighQualityRandState &state,double &x,double &y);
|
|
static void HQRndNormal2(CHighQualityRandState &state,double &x1,double &x2);
|
|
static double HQRndExponential(CHighQualityRandState &state,const double lambdav);
|
|
static double HQRndDiscrete(CHighQualityRandState &state,int n,CRowDouble &x);
|
|
template <typename T>
|
|
static T HQRndDiscrete(CHighQualityRandState &state,int n,vector<T> &x);
|
|
static double HQRndContinuous(CHighQualityRandState &state,int n,CRowDouble &x);
|
|
template <typename T>
|
|
static T HQRndContinuous(CHighQualityRandState &state,int n,vector<T> &x);
|
|
|
|
private:
|
|
static int HQRndIntegerBase(CHighQualityRandState &state);
|
|
};
|
|
//+------------------------------------------------------------------+
|
|
//| Initialize constants |
|
|
//+------------------------------------------------------------------+
|
|
const int CHighQualityRand::m_HQRndMax=2147483561;
|
|
const int CHighQualityRand::m_HQRndM1 =2147483563;
|
|
const int CHighQualityRand::m_HQRndM2 =2147483399;
|
|
const int CHighQualityRand::m_HQRndMagic=1634357784;
|
|
//+------------------------------------------------------------------+
|
|
//| HQRNDState initialization with random values which come from |
|
|
//| standard RNG. |
|
|
//+------------------------------------------------------------------+
|
|
void CHighQualityRand::HQRndRandomize(CHighQualityRandState &state)
|
|
{
|
|
//--- get result
|
|
HQRndSeed(CMath::RandomInteger(m_HQRndM1),CMath::RandomInteger(m_HQRndM2),state);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| HQRNDState initialization with seed values |
|
|
//+------------------------------------------------------------------+
|
|
void CHighQualityRand::HQRndSeed(const int s1,const int s2,
|
|
CHighQualityRandState &state)
|
|
{
|
|
//--- calculation parameters
|
|
state.m_s1=s1%(m_HQRndM1-1)+1;
|
|
state.m_s2=s2%(m_HQRndM2-1)+1;
|
|
state.m_v=1.0/(double)m_HQRndMax;
|
|
state.m_magicv=m_HQRndMagic;
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function generates random real number in [0,1). |
|
|
//| State structure must be initialized with HQRNDRandomize() or |
|
|
//| HQRNDSeed(). |
|
|
//+------------------------------------------------------------------+
|
|
double CHighQualityRand::HQRndUniformR(CHighQualityRandState &state)
|
|
{
|
|
return(state.m_v*(HQRndIntegerBase(state)-1));
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function generates random integer number in [0, N) |
|
|
//| 1. N must be less than HQRNDMax-1. |
|
|
//| 2. State structure must be initialized with HQRNDRandomize() or |
|
|
//| HQRNDSeed() |
|
|
//+------------------------------------------------------------------+
|
|
int CHighQualityRand::HQRndUniformI(CHighQualityRandState &state,const int n)
|
|
{
|
|
//--- create variables
|
|
int result=0;
|
|
int maxcnt=0;
|
|
int mx=0;
|
|
int a=0;
|
|
int b=0;
|
|
//--- check
|
|
if(!CAp::Assert(n>0,__FUNCTION__+": N<=0!"))
|
|
return(INT_MAX);
|
|
//---
|
|
maxcnt=m_HQRndMax+1;
|
|
//---Two branches: one for N<=MaxCnt, another for N>MaxCnt.
|
|
if(n>maxcnt)
|
|
{
|
|
//---N>=MaxCnt.
|
|
//---We have two options here:
|
|
//---a) N is exactly divisible by MaxCnt
|
|
//---b) N is not divisible by MaxCnt
|
|
//---In both cases we reduce problem on interval spanning [0,N)
|
|
//---to several subproblems on intervals spanning [0,MaxCnt).
|
|
if(n%maxcnt==0)
|
|
{
|
|
//---N is exactly divisible by MaxCnt.
|
|
//---[0,N) range is dividided into N/MaxCnt bins,
|
|
//---each of them having length equal to MaxCnt.
|
|
//---We generate:
|
|
//---* random bin number B
|
|
//---* random offset within bin A
|
|
//---Both random numbers are generated by recursively
|
|
//---calling HQRNDUniformI().
|
|
//---Result is equal to A+MaxCnt*B.
|
|
//--- check
|
|
if(!CAp::Assert(n/maxcnt<=maxcnt,__FUNCTION__+": N is too large"))
|
|
return(INT_MAX);
|
|
a=HQRndUniformI(state,maxcnt);
|
|
b=HQRndUniformI(state,n/maxcnt);
|
|
result=a+maxcnt*b;
|
|
}
|
|
else
|
|
{
|
|
//---N is NOT exactly divisible by MaxCnt.
|
|
//---[0,N) range is dividided into Ceil(N/MaxCnt) bins,
|
|
//---each of them having length equal to MaxCnt.
|
|
//---We generate:
|
|
//---* random bin number B in [0, Ceil(N/MaxCnt)-1]
|
|
//---* random offset within bin A
|
|
//---* if both of what is below is true
|
|
//--- 1) bin number B is that of the last bin
|
|
//--- 2) A >= N mod MaxCnt
|
|
//--- then we repeat generation of A/B.
|
|
//--- This stage is essential in order to avoid bias in the result.
|
|
//---* otherwise, we return A*MaxCnt+N
|
|
//--- check
|
|
if(!CAp::Assert(n/maxcnt+1<=maxcnt,__FUNCTION__+": N is too large"))
|
|
return(INT_MAX);
|
|
result=-1;
|
|
do
|
|
{
|
|
a=HQRndUniformI(state,maxcnt);
|
|
b=HQRndUniformI(state,n/maxcnt+1);
|
|
if(b==n/maxcnt && a>=n%maxcnt)
|
|
continue;
|
|
result=a+maxcnt*b;
|
|
}
|
|
while(result<0);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
//---N<=MaxCnt
|
|
//---Code below is a bit complicated because we can not simply
|
|
//---return "HQRNDIntegerBase() mod N" - it will be skewed for
|
|
//---large N's in [0.1*HQRNDMax...HQRNDMax].
|
|
mx=maxcnt-maxcnt%n;
|
|
do
|
|
{
|
|
result=HQRndIntegerBase(state);
|
|
}
|
|
while(result>=mx);
|
|
result=result%n;
|
|
}
|
|
//--- return result
|
|
return(result);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Random number generator: normal numbers |
|
|
//| This function generates one random number from normal |
|
|
//| distribution. |
|
|
//| Its performance is equal to that of HQRNDNormal2() |
|
|
//| State structure must be initialized with HQRNDRandomize() or |
|
|
//| HQRNDSeed(). |
|
|
//+------------------------------------------------------------------+
|
|
double CHighQualityRand::HQRndNormal(CHighQualityRandState &state)
|
|
{
|
|
//--- create variables
|
|
double v1=0;
|
|
double v2=0;
|
|
//--- function call
|
|
HQRndNormal2(state,v1,v2);
|
|
//--- return result
|
|
return(v1);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Random number generator: vector with random entries (normal |
|
|
//| distribution) |
|
|
//| This function generates N random numbers from normal |
|
|
//| distribution. |
|
|
//| State structure must be initialized with HQRNDRandomize() or |
|
|
//| HQRNDSeed(). |
|
|
//+------------------------------------------------------------------+
|
|
void CHighQualityRand::HQRndNormalV(CHighQualityRandState &state,
|
|
int n,CRowDouble &x)
|
|
{
|
|
//--- create variables
|
|
int n2=0;
|
|
double v1=0;
|
|
double v2=0;
|
|
//--- function call
|
|
if(n<0)
|
|
{
|
|
n=(int)x.Size();
|
|
}
|
|
else
|
|
{
|
|
if((int)x.Size()<n)
|
|
x.Resize(n);
|
|
}
|
|
n2=n/2;
|
|
for(int i=0; i<n2; i++)
|
|
{
|
|
HQRndNormal2(state,v1,v2);
|
|
x.Set(2*i,v1);
|
|
x.Set(2*i+1,v2);
|
|
}
|
|
if(n%2!=0)
|
|
{
|
|
HQRndNormal2(state,v1,v2);
|
|
x.Set(n-1,v1);
|
|
}
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Random number generator: matrix with random entries (normal |
|
|
//| distribution) |
|
|
//| This function generates MxN random matrix. |
|
|
//| State structure must be initialized with HQRNDRandomize() or |
|
|
//| HQRNDSeed(). |
|
|
//+------------------------------------------------------------------+
|
|
void CHighQualityRand::HQRndNormalM(CHighQualityRandState &state,
|
|
int m,int n,CMatrixDouble &x)
|
|
{
|
|
//--- create variables
|
|
int n2=0;
|
|
double v1=0;
|
|
double v2=0;
|
|
//--- function call
|
|
if(n<0)
|
|
{
|
|
n=(int)x.Cols();
|
|
}
|
|
else
|
|
{
|
|
if((int)x.Cols()<n)
|
|
x.Resize(x.Rows(),n);
|
|
}
|
|
if(m<0)
|
|
{
|
|
m=(int)x.Rows();
|
|
}
|
|
else
|
|
{
|
|
if((int)x.Rows()<m)
|
|
x.Resize(m,x.Cols());
|
|
}
|
|
n2=n/2;
|
|
for(int i=0; i<m; i++)
|
|
{
|
|
for(int j=0; j<n2; j++)
|
|
{
|
|
HQRndNormal2(state,v1,v2);
|
|
x.Set(i,2*j,v1);
|
|
x.Set(i,2*j+1,v2);
|
|
}
|
|
if(n%2!=0)
|
|
{
|
|
HQRndNormal2(state,v1,v2);
|
|
x.Set(i,n-1,v1);
|
|
}
|
|
}
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Random number generator: random X and Y such that X^2+Y^2=1 |
|
|
//| State structure must be initialized with HQRNDRandomize() or |
|
|
//| HQRNDSeed(). |
|
|
//+------------------------------------------------------------------+
|
|
void CHighQualityRand::HQRndUnit2(CHighQualityRandState &state,
|
|
double &x,double &y)
|
|
{
|
|
//--- create variables
|
|
double v=0;
|
|
double mx=0;
|
|
double mn=0;
|
|
//--- initialization
|
|
x=0;
|
|
y=0;
|
|
//--- function call
|
|
do
|
|
HQRndNormal2(state,x,y);
|
|
while(!(x!=0.0 || y!=0.0));
|
|
//--- change values
|
|
mx=MathMax(MathAbs(x),MathAbs(y));
|
|
mn=MathMin(MathAbs(x),MathAbs(y));
|
|
v=mx*MathSqrt(1+CMath::Sqr(mn/mx));
|
|
//--- get result
|
|
x=x/v;
|
|
y=y/v;
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Random number generator: normal numbers |
|
|
//| This function generates two independent random numbers from |
|
|
//| normal distribution. Its performance is equal to that of |
|
|
//| HQRNDNormal() |
|
|
//| State structure must be initialized with HQRNDRandomize() or |
|
|
//| HQRNDSeed(). |
|
|
//+------------------------------------------------------------------+
|
|
void CHighQualityRand::HQRndNormal2(CHighQualityRandState &state,
|
|
double &x1,double &x2)
|
|
{
|
|
//--- create variables
|
|
double u=0;
|
|
double v=0;
|
|
double s=0;
|
|
//--- initialization
|
|
x1=0;
|
|
x2=0;
|
|
//--- cycle
|
|
while(true)
|
|
{
|
|
u=2*HQRndUniformR(state)-1;
|
|
v=2*HQRndUniformR(state)-1;
|
|
s=CMath::Sqr(u)+CMath::Sqr(v);
|
|
//--- check
|
|
if(s>0.0 && s<1.0)
|
|
{
|
|
//--- two Sqrt's instead of one to
|
|
//--- avoid overflow when S is too small
|
|
s=MathSqrt(-(2*MathLog(s)))/MathSqrt(s);
|
|
x1=u*s;
|
|
x2=v*s;
|
|
//--- exit the function
|
|
return;
|
|
}
|
|
}
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Random number generator: exponential distribution |
|
|
//| State structure must be initialized with HQRNDRandomize() or |
|
|
//| HQRNDSeed(). |
|
|
//+------------------------------------------------------------------+
|
|
double CHighQualityRand::HQRndExponential(CHighQualityRandState &state,
|
|
const double lambdav)
|
|
{
|
|
//--- check
|
|
if(!CAp::Assert(lambdav>0.0,__FUNCTION__+": LambdaV<=0!"))
|
|
return(EMPTY_VALUE);
|
|
//--- return result
|
|
return(-(MathLog(HQRndUniformR(state))/lambdav));
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function generates random number from discrete distribution|
|
|
//| given by finite sample X. |
|
|
//| INPUT PARAMETERS |
|
|
//| State - high quality random number generator, must be |
|
|
//| initialized with HQRNDRandomize() or HQRNDSeed(). |
|
|
//| X - finite sample |
|
|
//| N - number of elements to use, N>=1 |
|
|
//| RESULT |
|
|
//| this function returns one of the X[i] for random i=0..N-1 |
|
|
//+------------------------------------------------------------------+
|
|
double CHighQualityRand::HQRndDiscrete(CHighQualityRandState &state,
|
|
int n,CRowDouble &x)
|
|
{
|
|
double result=0;
|
|
//--- check
|
|
if(!CAp::Assert(n>0,__FUNCTION__+": N<=0"))
|
|
return (EMPTY_VALUE);
|
|
if(!CAp::Assert(n<=(int)x.Size(),__FUNCTION__+": Length(X)<N"))
|
|
return (EMPTY_VALUE);
|
|
//--- call function
|
|
result=x[HQRndUniformI(state,n)];
|
|
//--- return result
|
|
return(result);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function generates random number from discrete distribution|
|
|
//| given by finite sample X. |
|
|
//| INPUT PARAMETERS |
|
|
//| State - high quality random number generator, must be |
|
|
//| initialized with HQRNDRandomize() or HQRNDSeed(). |
|
|
//| X - finite sample |
|
|
//| N - number of elements to use, N>=1 |
|
|
//| RESULT |
|
|
//| this function returns one of the X[i] for random i=0..N-1 |
|
|
//+------------------------------------------------------------------+
|
|
template <typename T>
|
|
T CHighQualityRand::HQRndDiscrete(CHighQualityRandState &state,
|
|
int n,vector<T> &x)
|
|
{
|
|
T result=0;
|
|
//--- check
|
|
if(!CAp::Assert(n>0,__FUNCTION__+": N<=0"))
|
|
return (EMPTY_VALUE);
|
|
if(!CAp::Assert(n<=(int)x.Size(),__FUNCTION__+": Length(X)<N"))
|
|
return (EMPTY_VALUE);
|
|
//--- call function
|
|
result=x[HQRndUniformI(state,n)];
|
|
//--- return result
|
|
return(result);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function generates random number from continuous |
|
|
//| distribution given by finite sample X. |
|
|
//| INPUT PARAMETERS |
|
|
//| State - high quality random number generator, must be |
|
|
//| initialized with HQRNDRandomize() or HQRNDSeed(). |
|
|
//| X - finite sample, array[N] (can be larger, in this |
|
|
//| case only leading N elements are used). THIS ARRAY |
|
|
//| MUST BE SORTED BY ASCENDING. |
|
|
//| N - number of elements to use, N>=1 |
|
|
//| RESULT |
|
|
//| this function returns random number from continuous |
|
|
//| distribution which tries to approximate X as mush as possible. |
|
|
//| min(X)<=Result<=max(X). |
|
|
//+------------------------------------------------------------------+
|
|
double CHighQualityRand::HQRndContinuous(CHighQualityRandState &state,
|
|
int n,CRowDouble &x)
|
|
{
|
|
//--- create variables
|
|
double result=0;
|
|
double mx=0;
|
|
double mn=0;
|
|
int i=0;
|
|
//--- check
|
|
if(!CAp::Assert(n>0,__FUNCTION__+": N<=0"))
|
|
return (EMPTY_VALUE);
|
|
if(!CAp::Assert(n<=(int)x.Size(),__FUNCTION__+": Length(X)<N"))
|
|
return (EMPTY_VALUE);
|
|
//--- call function
|
|
if(n==1)
|
|
{
|
|
result=x[0];
|
|
return(result);
|
|
}
|
|
i=HQRndUniformI(state,n-1);
|
|
mn=x[i];
|
|
mx=x[i+1];
|
|
if(!CAp::Assert(mx>=mn,__FUNCTION__+": X is not sorted by ascending"))
|
|
return(EMPTY_VALUE);
|
|
if(mx!=mn)
|
|
result=(mx-mn)*HQRndUniformR(state)+mn;
|
|
else
|
|
result=mn;
|
|
//--- return result
|
|
return(result);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function generates random number from continuous |
|
|
//| distribution given by finite sample X. |
|
|
//| INPUT PARAMETERS |
|
|
//| State - high quality random number generator, must be |
|
|
//| initialized with HQRNDRandomize() or HQRNDSeed(). |
|
|
//| X - finite sample, array[N] (can be larger, in this |
|
|
//| case only leading N elements are used). THIS ARRAY |
|
|
//| MUST BE SORTED BY ASCENDING. |
|
|
//| N - number of elements to use, N>=1 |
|
|
//| RESULT |
|
|
//| this function returns random number from continuous |
|
|
//| distribution which tries to approximate X as mush as possible. |
|
|
//| min(X)<=Result<=max(X). |
|
|
//+------------------------------------------------------------------+
|
|
template <typename T>
|
|
T CHighQualityRand::HQRndContinuous(CHighQualityRandState &state,
|
|
int n,vector<T> &x)
|
|
{
|
|
//--- create variables
|
|
T result=0;
|
|
double mx=0;
|
|
double mn=0;
|
|
int i=0;
|
|
//--- check
|
|
if(!CAp::Assert(n>0,__FUNCTION__+": N<=0"))
|
|
return (EMPTY_VALUE);
|
|
if(!CAp::Assert(n<=(int)x.Size(),__FUNCTION__+": Length(X)<N"))
|
|
return (EMPTY_VALUE);
|
|
//--- call function
|
|
if(n==1)
|
|
{
|
|
result=x[0];
|
|
return(result);
|
|
}
|
|
i=HQRndUniformI(state,n-1);
|
|
mn=x[i];
|
|
mx=x[i+1];
|
|
if(!CAp::Assert(mx>=mn,__FUNCTION__+": X is not sorted by ascending"))
|
|
return(EMPTY_VALUE);
|
|
if(mx!=mn)
|
|
result=(T)((mx-mn)*HQRndUniformR(state)+mn);
|
|
else
|
|
result=mn;
|
|
//--- return result
|
|
return(result);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| L'Ecuyer, Efficient and portable combined random number |
|
|
//| generators |
|
|
//+------------------------------------------------------------------+
|
|
int CHighQualityRand::HQRndIntegerBase(CHighQualityRandState &state)
|
|
{
|
|
//--- create variables
|
|
int result=0;
|
|
int k=0;
|
|
//--- check
|
|
if(!CAp::Assert(state.m_magicv==m_HQRndMagic,__FUNCTION__+": State is not correctly initialized!"))
|
|
return(-1);
|
|
//--- initialization
|
|
k=state.m_s1/53668;
|
|
state.m_s1=40014*(state.m_s1-k*53668)-k*12211;
|
|
//--- check
|
|
if(state.m_s1<0)
|
|
state.m_s1=state.m_s1+2147483563;
|
|
//--- change values
|
|
k=state.m_s2/52774;
|
|
state.m_s2=40692*(state.m_s2-k*52774)-k*3791;
|
|
//--- check
|
|
if(state.m_s2<0)
|
|
state.m_s2=state.m_s2+2147483399;
|
|
//--- Result
|
|
result=state.m_s1-state.m_s2;
|
|
//--- check
|
|
if(result<1)
|
|
result=result+2147483562;
|
|
//--- return result
|
|
return(result);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Math functions |
|
|
//+------------------------------------------------------------------+
|
|
class CMath
|
|
{
|
|
public:
|
|
//--- class variables
|
|
static bool m_first_call;
|
|
static double m_last;
|
|
static CHighQualityRandState m_state;
|
|
//--- machine constants
|
|
static const double m_machineepsilon;
|
|
static const double m_maxrealnumber;
|
|
static const double m_minrealnumber;
|
|
//--- methods
|
|
static bool IsFinite(const double d);
|
|
static double RandomReal(void);
|
|
static int RandomInteger(const int n);
|
|
static double Sqr(const double x) { return(x*x); }
|
|
static double AbsComplex(const complex z);
|
|
static double AbsComplex(const double r);
|
|
static complex Conj(const complex z);
|
|
static complex Csqr(const complex z);
|
|
};
|
|
//+------------------------------------------------------------------+
|
|
//| Initialize class constants |
|
|
//+------------------------------------------------------------------+
|
|
const double CMath::m_machineepsilon=5E-16;
|
|
const double CMath::m_maxrealnumber=1E300;
|
|
const double CMath::m_minrealnumber=1E-300;
|
|
bool CMath::m_first_call=true;
|
|
double CMath::m_last=0.0;
|
|
CHighQualityRandState CMath::m_state;
|
|
//+------------------------------------------------------------------+
|
|
//| Check on +-inf |
|
|
//+------------------------------------------------------------------+
|
|
bool CMath::IsFinite(const double d)
|
|
{
|
|
return(MathIsValidNumber(d));
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Random real value [0,1) |
|
|
//+------------------------------------------------------------------+
|
|
double CMath::RandomReal(void)
|
|
{
|
|
double result;
|
|
//--- check
|
|
if(m_first_call)
|
|
{
|
|
CHighQualityRand::HQRndSeed(1+MathRand(),1+MathRand(),m_state);
|
|
m_first_call=false;
|
|
}
|
|
//--- get value
|
|
result=CHighQualityRand::HQRndUniformR(m_state);
|
|
//--- check
|
|
if(result==m_last)
|
|
{
|
|
m_first_call=true;
|
|
return(RandomReal());
|
|
}
|
|
//--- change value
|
|
m_last=result;
|
|
//--- return result
|
|
return(CHighQualityRand::HQRndUniformR(m_state));
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Random integer value |
|
|
//+------------------------------------------------------------------+
|
|
int CMath::RandomInteger(const int n)
|
|
{
|
|
//--- check
|
|
if(m_first_call)
|
|
{
|
|
CHighQualityRand::HQRndSeed(1+MathRand(),1+MathRand(),m_state);
|
|
m_first_call=false;
|
|
}
|
|
//--- check and return result
|
|
if(n>=CHighQualityRand::m_HQRndM1-1)
|
|
return(CHighQualityRand::HQRndUniformI(m_state,CHighQualityRand::m_HQRndM1-2));
|
|
else
|
|
return(CHighQualityRand::HQRndUniformI(m_state,n));
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| The absolute value of a complex number |
|
|
//+------------------------------------------------------------------+
|
|
double CMath::AbsComplex(const complex z)
|
|
{
|
|
//--- initialization
|
|
double xabs=MathAbs(z.real);
|
|
double yabs=MathAbs(z.imag);
|
|
//--- check
|
|
if(xabs==0)
|
|
return(yabs);
|
|
//--- check
|
|
if(yabs==0)
|
|
return(xabs);
|
|
//--- check
|
|
//--- calculation
|
|
double t=MathSqrt(MathPow(xabs,2)+MathPow(yabs,2));
|
|
//--- return result
|
|
return(t);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| The absolute value of a complex number |
|
|
//+------------------------------------------------------------------+
|
|
double CMath::AbsComplex(const double r)
|
|
{
|
|
//--- initialization
|
|
complex z=r;
|
|
double w=0.0;
|
|
double v=0.0;
|
|
double xabs=MathAbs(z.real);
|
|
double yabs=MathAbs(z.imag);
|
|
//--- check
|
|
if(xabs>yabs)
|
|
w=xabs;
|
|
else
|
|
w=yabs;
|
|
//--- check
|
|
if(xabs<yabs)
|
|
v=xabs;
|
|
else
|
|
v=yabs;
|
|
//--- check
|
|
if(v==0)
|
|
return(w);
|
|
//--- calculation
|
|
double t=v/w;
|
|
//--- return result
|
|
return(w*MathSqrt(1+t*t));
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Get conjugate |
|
|
//+------------------------------------------------------------------+
|
|
complex CMath::Conj(const complex z)
|
|
{
|
|
complex res;
|
|
res.real=z.real;
|
|
res.imag=-z.imag;
|
|
//--- return result
|
|
return(res);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Squaring |
|
|
//+------------------------------------------------------------------+
|
|
complex CMath::Csqr(const complex z)
|
|
{
|
|
complex res;
|
|
res.real=z.real*z.real-z.imag*z.imag;
|
|
res.imag=2*z.real*z.imag;
|
|
//--- return result
|
|
return(res);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Global array of constants |
|
|
//+------------------------------------------------------------------+
|
|
char _sixbits2char_tbl[] =
|
|
{
|
|
'0','1','2','3','4','5','6','7',
|
|
'8','9','A','B','C','D','E','F',
|
|
'G','H','I','J','K','L','M','N',
|
|
'O','P','Q','R','S','T','U','V',
|
|
'W','X','Y','Z','a','b','c','d',
|
|
'e','f','g','h','i','j','k','l',
|
|
'm','n','o','p','q','r','s','t',
|
|
'u','v','w','x','y','z','-','_'
|
|
};
|
|
//+------------------------------------------------------------------+
|
|
//| Global array of constants |
|
|
//+------------------------------------------------------------------+
|
|
int _char2sixbits_tbl[128] =
|
|
{
|
|
-1,-1,-1,-1,-1,-1,-1,-1,
|
|
-1,-1,-1,-1,-1,-1,-1,-1,
|
|
-1,-1,-1,-1,-1,-1,-1,-1,
|
|
-1,-1,-1,-1,-1,-1,-1,-1,
|
|
-1,-1,-1,-1,-1,-1,-1,-1,
|
|
-1,-1,-1,-1,-1,62,-1,-1,
|
|
0,1,2,3,4,5,6,7,
|
|
8,9,-1,-1,-1,-1,-1,-1,
|
|
-1,10,11,12,13,14,15,16,
|
|
17,18,19,20,21,22,23,24,
|
|
25,26,27,28,29,30,31,32,
|
|
33,34,35,-1,-1,-1,-1,63,
|
|
-1,36,37,38,39,40,41,42,
|
|
43,44,45,46,47,48,49,50,
|
|
51,52,53,54,55,56,57,58,
|
|
59,60,61,-1,-1,-1,-1,-1
|
|
};
|
|
//+------------------------------------------------------------------+
|
|
//| Serializer object (should not be used directly) |
|
|
//+------------------------------------------------------------------+
|
|
class CSerializer
|
|
{
|
|
//--- enumeration
|
|
enum SMODE { DEFAULT,ALLOC,TO_STRING,FROM_STRING };
|
|
|
|
private:
|
|
//--- class constants
|
|
static const int m_ser_entries_per_row;
|
|
static const int m_ser_entry_length;
|
|
//--- variables
|
|
SMODE m_mode;
|
|
int m_entries_needed;
|
|
int m_entries_saved;
|
|
int m_bytes_asked;
|
|
int m_bytes_written;
|
|
int m_bytes_read;
|
|
char m_out_str[];
|
|
char m_in_str[];
|
|
//---local temporaries
|
|
char m_entry_buf_char[];
|
|
char m_entry_buf_byte[];
|
|
|
|
//--- private methods
|
|
int Get_Alloc_Size(void);
|
|
static char SixBits2Char(const int v);
|
|
static int Char2SixBits(const char c);
|
|
static void ThreeBytes2FourSixBits(uchar &src[],const int src_offs,int &dst[],const int dst_offs);
|
|
static void FourSixBits2ThreeBytes(int &src[],const int src_offs,uchar &dst[],const int dst_offs);
|
|
static void Bool2Str(const bool v,char &buf[],int &offs);
|
|
static bool Str2Bool(char &buf[],int &offs);
|
|
static void Int2Str(const int v,char &buf[],int &offs);
|
|
static int Str2Int(char &buf[],int &offs);
|
|
static void Double2Str(const double v,char &buf[],int &offs);
|
|
static double Str2Double(char &buf[],int &offs);
|
|
|
|
public:
|
|
//--- constructor, destructor
|
|
CSerializer(void);
|
|
~CSerializer(void);
|
|
//--- public methods
|
|
void ClearBuffers(void);
|
|
void Alloc_Start(void);
|
|
void Alloc_Entry(void);
|
|
void Alloc_Byte_Array(char &a[]);
|
|
|
|
void SStart_Str(void);
|
|
void UStart_Str(const string s);
|
|
void Reset(void);
|
|
void Stop(void);
|
|
//--- serialization
|
|
void Serialize_Bool(const bool v);
|
|
void Serialize_Int(const int v);
|
|
void Serialize_Double(const double v);
|
|
//--- unserialization
|
|
bool Unserialize_Bool(void);
|
|
int Unserialize_Int(void);
|
|
double Unserialize_Double(void);
|
|
//--- get string
|
|
string Get_String(void);
|
|
};
|
|
//+------------------------------------------------------------------+
|
|
//| Initialize constants |
|
|
//+------------------------------------------------------------------+
|
|
const int CSerializer::m_ser_entries_per_row=5;
|
|
const int CSerializer::m_ser_entry_length=11;
|
|
//+------------------------------------------------------------------+
|
|
//| Constructor without parameters |
|
|
//+------------------------------------------------------------------+
|
|
CSerializer::CSerializer(void): m_mode(DEFAULT),m_entries_needed(0),
|
|
m_bytes_asked(0)
|
|
{
|
|
ArrayRemove(m_entry_buf_byte,m_ser_entry_length+2);
|
|
ArrayRemove(m_entry_buf_char,m_ser_entry_length+2);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Destructor |
|
|
//+------------------------------------------------------------------+
|
|
CSerializer::~CSerializer(void)
|
|
{
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::ClearBuffers(void)
|
|
{
|
|
ArrayFree(m_out_str);
|
|
ArrayFree(m_in_str);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Start |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::Alloc_Start(void)
|
|
{
|
|
//--- change values
|
|
m_entries_needed=0;
|
|
m_bytes_asked=0;
|
|
m_mode=ALLOC;
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Entry |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::Alloc_Entry(void)
|
|
{
|
|
//--- check
|
|
if(m_mode!=ALLOC)
|
|
{
|
|
Print(__FUNCTION__+": internal error during (un)serialization");
|
|
//--- exit the function
|
|
return;
|
|
}
|
|
m_entries_needed++;
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::Alloc_Byte_Array(char &a[])
|
|
{
|
|
if(m_mode!=ALLOC)
|
|
{
|
|
Print(__FUNCTION__": internal error during (un)serialization");
|
|
return;
|
|
}
|
|
int n=CAp::Len(a);
|
|
n=n/8+(n%8>0?1:0);
|
|
m_entries_needed+=1+n;
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Switching state on TO_STRING |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::SStart_Str(void)
|
|
{
|
|
//--- get size
|
|
int allocsize=Get_Alloc_Size();
|
|
//--- clear input/output buffers which may hold pointers to unneeded memory
|
|
//--- NOTE: it also helps us to avoid errors when data are written to incorrect location
|
|
ClearBuffers();
|
|
//--- check and change m_mode
|
|
if(m_mode!=ALLOC)
|
|
{
|
|
Print(__FUNCTION__+": internal error during (un)serialization");
|
|
//--- exit the function
|
|
return;
|
|
}
|
|
m_mode=TO_STRING;
|
|
//--- other preparations
|
|
ArrayResizeAL(m_out_str,allocsize);
|
|
m_entries_saved=0;
|
|
m_bytes_written=0;
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Switching state on FROM_STRING |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::UStart_Str(const string s)
|
|
{
|
|
//--- check and change m_mode
|
|
if(m_mode!=DEFAULT)
|
|
{
|
|
Print(__FUNCTION__+": internal error during (un)serialization");
|
|
//--- exit the function
|
|
return;
|
|
}
|
|
m_mode=FROM_STRING;
|
|
StringToCharArray(s,m_in_str);
|
|
m_bytes_read=0;
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Reset parameters |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::Reset(void)
|
|
{
|
|
m_mode=DEFAULT;
|
|
m_entries_needed=0;
|
|
m_bytes_asked=0;
|
|
ClearBuffers();
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Serialize bool |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::Serialize_Bool(const bool v)
|
|
{
|
|
//--- check
|
|
if(m_mode!=TO_STRING)
|
|
{
|
|
Print(__FUNCTION__+": internal error during (un)serialization");
|
|
//--- exit the function
|
|
return;
|
|
}
|
|
//--- function call
|
|
Bool2Str(v,m_out_str,m_bytes_written);
|
|
m_entries_saved++;
|
|
//--- check
|
|
if(m_entries_saved%m_ser_entries_per_row!=0)
|
|
{
|
|
m_out_str[m_bytes_written]=' ';
|
|
m_bytes_written++;
|
|
}
|
|
else
|
|
{
|
|
m_out_str[m_bytes_written+0]='\r';
|
|
m_out_str[m_bytes_written+1]='\n';
|
|
m_bytes_written+=2;
|
|
}
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Serialize int |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::Serialize_Int(const int v)
|
|
{
|
|
//--- check
|
|
if(m_mode!=TO_STRING)
|
|
{
|
|
Print(__FUNCTION__+": internal error during (un)serialization");
|
|
//--- exit the function
|
|
return;
|
|
}
|
|
//--- function call
|
|
Int2Str(v,m_out_str,m_bytes_written);
|
|
m_entries_saved++;
|
|
//--- check
|
|
if(m_entries_saved%m_ser_entries_per_row!=0)
|
|
{
|
|
m_out_str[m_bytes_written]=' ';
|
|
m_bytes_written++;
|
|
}
|
|
else
|
|
{
|
|
m_out_str[m_bytes_written+0]='\r';
|
|
m_out_str[m_bytes_written+1]='\n';
|
|
m_bytes_written+=2;
|
|
}
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Serialize double |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::Serialize_Double(const double v)
|
|
{
|
|
//--- check
|
|
if(m_mode!=TO_STRING)
|
|
{
|
|
Print(__FUNCTION__+": internal error during (un)serialization");
|
|
//--- exit the function
|
|
return;
|
|
}
|
|
//--- function call
|
|
Double2Str(v,m_out_str,m_bytes_written);
|
|
m_entries_saved++;
|
|
//--- check
|
|
if(m_entries_saved%m_ser_entries_per_row!=0)
|
|
{
|
|
m_out_str[m_bytes_written]=' ';
|
|
m_bytes_written++;
|
|
}
|
|
else
|
|
{
|
|
m_out_str[m_bytes_written+0]='\r';
|
|
m_out_str[m_bytes_written+1]='\n';
|
|
m_bytes_written+=2;
|
|
}
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Unserialize bool |
|
|
//+------------------------------------------------------------------+
|
|
bool CSerializer::Unserialize_Bool(void)
|
|
{
|
|
//--- check
|
|
if(m_mode!=FROM_STRING)
|
|
{
|
|
Print(__FUNCTION__+": internal error during (un)serialization");
|
|
//--- return result
|
|
return(false);
|
|
}
|
|
//--- return result
|
|
return(Str2Bool(m_in_str,m_bytes_read));
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Unserialize int |
|
|
//+------------------------------------------------------------------+
|
|
int CSerializer::Unserialize_Int(void)
|
|
{
|
|
//--- check
|
|
if(m_mode!=FROM_STRING)
|
|
{
|
|
Print(__FUNCTION__+": internal error during (un)serialization");
|
|
//--- return result
|
|
return(-1);
|
|
}
|
|
//--- return result
|
|
return(Str2Int(m_in_str,m_bytes_read));
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Unserialize double |
|
|
//+------------------------------------------------------------------+
|
|
double CSerializer::Unserialize_Double(void)
|
|
{
|
|
//--- check
|
|
if(m_mode!=FROM_STRING)
|
|
{
|
|
Print(__FUNCTION__+": internal error during (un)serialization");
|
|
//--- return result
|
|
return(EMPTY_VALUE);
|
|
}
|
|
//--- return result
|
|
return(Str2Double(m_in_str,m_bytes_read));
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Stop |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::Stop(void)
|
|
{
|
|
if(m_mode==TO_STRING)
|
|
{
|
|
m_out_str[m_bytes_written]='.';
|
|
m_bytes_written++;
|
|
return;
|
|
}
|
|
if(m_mode==FROM_STRING)
|
|
{
|
|
//--- because input string may be from pre-3.11 serializer,
|
|
//--- which does not include trailing dot, we do not test
|
|
//--- string for presence of "." symbol. Anyway, because string
|
|
//--- is not stream, we do not have to read ALL trailing symbols.
|
|
return;
|
|
}
|
|
Print(__FUNCTION__": internal error during unserialization");
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Get string |
|
|
//+------------------------------------------------------------------+
|
|
string CSerializer::Get_String(void)
|
|
{
|
|
return(GetSelectionString(m_out_str,0,m_bytes_written));
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| Get alloc size |
|
|
//+------------------------------------------------------------------+
|
|
int CSerializer::Get_Alloc_Size(void)
|
|
{
|
|
//--- create variables
|
|
int rows;
|
|
int lastrowsize;
|
|
int result;
|
|
//--- check and change m_mode
|
|
if(m_mode!=ALLOC)
|
|
{
|
|
Print(__FUNCTION__+": internal error during (un)serialization");
|
|
//--- return result
|
|
return(-1);
|
|
}
|
|
//--- if no entries needes (degenerate case)
|
|
if(m_entries_needed==0)
|
|
{
|
|
m_bytes_asked=1;
|
|
//--- return result
|
|
return(m_bytes_asked);
|
|
}
|
|
//--- non-degenerate case
|
|
rows=m_entries_needed/m_ser_entries_per_row;
|
|
lastrowsize=m_ser_entries_per_row;
|
|
//--- check
|
|
if(m_entries_needed%m_ser_entries_per_row!=0)
|
|
{
|
|
lastrowsize=m_entries_needed%m_ser_entries_per_row;
|
|
rows++;
|
|
}
|
|
//--- calculate result size
|
|
result=((rows-1)*m_ser_entries_per_row+lastrowsize)*m_ser_entry_length;
|
|
result+=(rows-1)*(m_ser_entries_per_row-1)+(lastrowsize-1);
|
|
result+=rows*2;
|
|
//--- save result
|
|
m_bytes_asked=result;
|
|
//--- return result
|
|
return(result);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function converts six-bit value (from 0 to 63) to character |
|
|
//| (only digits, lowercase and uppercase letters, minus and |
|
|
//| underscore are used). If v is negative or greater than 63, this |
|
|
//| function returns '?'. |
|
|
//+------------------------------------------------------------------+
|
|
char CSerializer::SixBits2Char(const int v)
|
|
{
|
|
//--- check
|
|
if(v<0 || v>63)
|
|
return('?');
|
|
//--- return result
|
|
return(_sixbits2char_tbl[v]);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function converts character to six-bit value (from 0 to 63).|
|
|
//| This function is inverse of ae_sixbits2char() |
|
|
//| If c is not correct character, this function returns -1. |
|
|
//+------------------------------------------------------------------+
|
|
int CSerializer::Char2SixBits(const char c)
|
|
{
|
|
//--- check
|
|
if(c>=0 && c<127)
|
|
return(_char2sixbits_tbl[c]);
|
|
//--- return result
|
|
return(-1);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function converts three bytes (24 bits) to four six-bit |
|
|
//| values (24 bits again). |
|
|
//| src array |
|
|
//| src_offs offset of three-bytes chunk |
|
|
//| dst array for ints |
|
|
//| dst_offs offset of four-ints chunk |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::ThreeBytes2FourSixBits(uchar &src[],const int src_offs,
|
|
int &dst[],const int dst_offs)
|
|
{
|
|
//--- get bits
|
|
dst[dst_offs+0]=src[src_offs+0]&0x3F;
|
|
dst[dst_offs+1]=(src[src_offs+0]>>6)|((src[src_offs+1]&0x0F)<<2);
|
|
dst[dst_offs+2]=(src[src_offs+1]>>4)|((src[src_offs+2]&0x03)<<4);
|
|
dst[dst_offs+3]=src[src_offs+2]>>2;
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function converts four six-bit values (24 bits) to three |
|
|
//| bytes (24 bits again). |
|
|
//| src pointer to four ints |
|
|
//| src_offs offset of the chunk |
|
|
//| dst pointer to three bytes |
|
|
//| dst_offs offset of the chunk |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::FourSixBits2ThreeBytes(int &src[],const int src_offs,
|
|
uchar &dst[],const int dst_offs)
|
|
{
|
|
//--- get bytes
|
|
dst[dst_offs+0]=(uchar)(src[src_offs+0]|((src[src_offs+1]&0x03)<<6));
|
|
dst[dst_offs+1]=(uchar)((src[src_offs+1]>>2)|((src[src_offs+2]&0x0F)<<4));
|
|
dst[dst_offs+2]=(uchar)((src[src_offs+2]>>4)|(src[src_offs+3]<<2));
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function serializes boolean value into buffer |
|
|
//| v boolean value to be serialized |
|
|
//| buf buffer, at least 11 characters wide |
|
|
//| offs offset in the buffer |
|
|
//| after return(from this function, offs points to the char's past |
|
|
//| the value being read. |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::Bool2Str(const bool v,char &buf[],int &offs)
|
|
{
|
|
char c;
|
|
//--- check
|
|
if(v)
|
|
c='1';
|
|
else
|
|
c='0';
|
|
//--- copy c
|
|
for(int i=0; i<m_ser_entry_length; i++)
|
|
buf[offs+i]=c;
|
|
//--- change value
|
|
offs+=m_ser_entry_length;
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function unserializes boolean value from buffer |
|
|
//| buf buffer which contains value;leading |
|
|
//| spaces/tabs/newlines are ignored, traling |
|
|
//| spaces/tabs/newlines are treated as end of the |
|
|
//| boolean value. |
|
|
//| offs offset in the buffer |
|
|
//| after return(from this function, offs points to the char's past |
|
|
//| the value being read. |
|
|
//| This function raises an error in case unexpected symbol is found |
|
|
//+------------------------------------------------------------------+
|
|
bool CSerializer::Str2Bool(char &buf[],int &offs)
|
|
{
|
|
//--- create variables
|
|
bool was0;
|
|
bool was1;
|
|
string emsg=": unable to read boolean value from stream";
|
|
//--- initialization
|
|
was0=false;
|
|
was1=false;
|
|
//--- shift
|
|
while(buf[offs]==' ' || buf[offs]=='\t' || buf[offs]=='\n' || buf[offs]=='\r')
|
|
offs++;
|
|
//--- cycle
|
|
while(buf[offs]!=' ' && buf[offs]!='\t' && buf[offs]!='\n' && buf[offs]!='\r' && buf[offs]!=0)
|
|
{
|
|
//--- check
|
|
if(buf[offs]=='0')
|
|
{
|
|
was0=true;
|
|
offs++;
|
|
continue;
|
|
}
|
|
//--- check
|
|
if(buf[offs]=='1')
|
|
{
|
|
was1=true;
|
|
offs++;
|
|
continue;
|
|
}
|
|
Print(__FUNCTION__+" " + emsg);
|
|
//--- return result
|
|
return(false);
|
|
}
|
|
//--- check
|
|
if((!was0) && (!was1))
|
|
{
|
|
Print(__FUNCTION__+" " + emsg);
|
|
//--- return result
|
|
return(false);
|
|
}
|
|
//--- check
|
|
if(was0 && was1)
|
|
{
|
|
Print(__FUNCTION__+" " + emsg);
|
|
//--- return result
|
|
return(false);
|
|
}
|
|
//--- check
|
|
if(was1)
|
|
return(true);
|
|
//--- return result
|
|
return(false);
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function serializes integer value into buffer |
|
|
//| v integer value to be serialized |
|
|
//| buf buffer, at least 11 characters wide |
|
|
//| offs offset in the buffer |
|
|
//| after return(from this function, offs points to the char's past |
|
|
//| the value being read. |
|
|
//| This function raises an error in case unexpected symbol is found |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::Int2Str(const int v,char &buf[],int &offs)
|
|
{
|
|
//--- create variables
|
|
int i;
|
|
uchar c;
|
|
uchar _bytes[];
|
|
//--- get bytes of v
|
|
BitConverter::GetBytes(v,_bytes);
|
|
//--- create arrays
|
|
uchar bytes[];
|
|
int sixbits[];
|
|
//--- allocation
|
|
ArrayResizeAL(bytes,9);
|
|
ArrayResizeAL(sixbits,12);
|
|
//--- copy v to array of bytes, sign extending it and
|
|
//--- converting to little endian order. Additionally,
|
|
//--- we set 9th byte to zero in order to simplify
|
|
//--- conversion to six-bit representation
|
|
if(!BitConverter::IsLittleEndian())
|
|
ArrayReverse(_bytes);
|
|
//--- check
|
|
if(v<0)
|
|
c=(uchar)0xFF;
|
|
else
|
|
c=(uchar)0x00;
|
|
//--- copy
|
|
for(i=0; i<sizeof(int); i++)
|
|
bytes[i]=_bytes[i];
|
|
//--- fill remaining part
|
|
for(i=sizeof(int); i<8; i++)
|
|
bytes[i]=c;
|
|
bytes[8]=0;
|
|
//--- convert to six-bit representation, output
|
|
//--- NOTE: last 12th element of sixbits is always zero, we do not output it
|
|
ThreeBytes2FourSixBits(bytes,0,sixbits,0);
|
|
ThreeBytes2FourSixBits(bytes,3,sixbits,4);
|
|
ThreeBytes2FourSixBits(bytes,6,sixbits,8);
|
|
//--- copy
|
|
for(i=0; i<m_ser_entry_length; i++)
|
|
buf[offs+i]=SixBits2Char(sixbits[i]);
|
|
//--- change value
|
|
offs+=m_ser_entry_length;
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function unserializes integer value from string |
|
|
//| buf buffer which contains value;leading |
|
|
//| spaces/tabs/newlines are ignored, traling |
|
|
//| spaces/tabs/newlines are treated as end of the |
|
|
//| integer value. |
|
|
//| offs offset in the buffer |
|
|
//| after return(from this function, offs points to the char's past |
|
|
//| the value being read. |
|
|
//| This function raises an error in case unexpected symbol is found |
|
|
//+------------------------------------------------------------------+
|
|
int CSerializer::Str2Int(char &buf[],int &offs)
|
|
{
|
|
//--- create variables
|
|
string emsg=": unable to read integer value from stream";
|
|
string emsg3264=": unable to read integer value from stream (value does not fit into 32 bits)";
|
|
int sixbitsread;
|
|
int i;
|
|
uchar c;
|
|
//--- create arrays
|
|
int sixbits[];
|
|
uchar bytes[];
|
|
uchar _bytes[];
|
|
//--- allocation
|
|
ArrayResizeAL(sixbits,12);
|
|
ArrayResizeAL(bytes,9);
|
|
ArrayResizeAL(_bytes,sizeof(int));
|
|
//--- 1. skip leading spaces
|
|
//--- 2. read and decode six-bit digits
|
|
//--- 3. set trailing digits to zeros
|
|
//--- 4. convert to little endian 64-bit integer representation
|
|
//--- 5. check that we fit into int
|
|
//--- 6. convert to big endian representation, if needed
|
|
sixbitsread=0;
|
|
while(buf[offs]==' ' || buf[offs]=='\t' || buf[offs]=='\n' || buf[offs]=='\r')
|
|
offs++;
|
|
while(buf[offs]!=' ' && buf[offs]!='\t' && buf[offs]!='\n' && buf[offs]!='\r' && buf[offs]!=0)
|
|
{
|
|
int d;
|
|
//--- function call
|
|
d=Char2SixBits(buf[offs]);
|
|
//--- check
|
|
if(d<0 || sixbitsread>=m_ser_entry_length)
|
|
{
|
|
Print(__FUNCTION__+" " + emsg);
|
|
//--- return result
|
|
return(-1);
|
|
}
|
|
sixbits[sixbitsread]=d;
|
|
sixbitsread++;
|
|
offs++;
|
|
}
|
|
//--- check
|
|
if(sixbitsread==0)
|
|
{
|
|
Print(__FUNCTION__+" " + emsg);
|
|
//--- return result
|
|
return(-1);
|
|
}
|
|
for(i=sixbitsread; i<12; i++)
|
|
sixbits[i]=0;
|
|
//--- function call
|
|
FourSixBits2ThreeBytes(sixbits,0,bytes,0);
|
|
//--- function call
|
|
FourSixBits2ThreeBytes(sixbits,4,bytes,3);
|
|
//--- function call
|
|
FourSixBits2ThreeBytes(sixbits,8,bytes,6);
|
|
//--- check
|
|
if((bytes[sizeof(int) -1]&0x80)!=0)
|
|
c=(uchar)0xFF;
|
|
else
|
|
c=(uchar)0x00;
|
|
for(i=sizeof(int); i<8; i++)
|
|
//--- check
|
|
if(bytes[i]!=c)
|
|
{
|
|
Print(__FUNCTION__+" " + emsg3264);
|
|
//--- return result
|
|
return(-1);
|
|
}
|
|
//--- copy
|
|
for(i=0; i<sizeof(int); i++)
|
|
_bytes[i]=bytes[i];
|
|
//--- check
|
|
if(!BitConverter::IsLittleEndian())
|
|
ArrayReverse(_bytes);
|
|
//--- return result
|
|
return(BitConverter::ToInt32(_bytes));
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function serializes double value into buffer |
|
|
//| v double value to be serialized |
|
|
//| buf buffer, at least 11 characters wide |
|
|
//| offs offset in the buffer |
|
|
//| after return(from this function, offs points to the char's past |
|
|
//| the value being read. |
|
|
//+------------------------------------------------------------------+
|
|
void CSerializer::Double2Str(const double v,char &buf[],int &offs)
|
|
{
|
|
//--- create variable
|
|
int i;
|
|
//--- create arrays
|
|
uchar bytes[];
|
|
int sixbits[];
|
|
//--- allocation
|
|
ArrayResizeAL(sixbits,12);
|
|
ArrayResizeAL(bytes,9);
|
|
//--- handle special quantities
|
|
if(CInfOrNaN::IsNaN(v))
|
|
{
|
|
buf[offs+0]='.';
|
|
buf[offs+1]='n';
|
|
buf[offs+2]='a';
|
|
buf[offs+3]='n';
|
|
buf[offs+4]='_';
|
|
buf[offs+5]='_';
|
|
buf[offs+6]='_';
|
|
buf[offs+7]='_';
|
|
buf[offs+8]='_';
|
|
buf[offs+9]='_';
|
|
buf[offs+10]='_';
|
|
offs+=m_ser_entry_length;
|
|
//--- exit the function
|
|
return;
|
|
}
|
|
//--- check
|
|
if(CInfOrNaN::IsPositiveInfinity(v))
|
|
{
|
|
buf[offs+0]='.';
|
|
buf[offs+1]='p';
|
|
buf[offs+2]='o';
|
|
buf[offs+3]='s';
|
|
buf[offs+4]='i';
|
|
buf[offs+5]='n';
|
|
buf[offs+6]='f';
|
|
buf[offs+7]='_';
|
|
buf[offs+8]='_';
|
|
buf[offs+9]='_';
|
|
buf[offs+10]='_';
|
|
offs+=m_ser_entry_length;
|
|
//--- exit the function
|
|
return;
|
|
}
|
|
//--- check
|
|
if(CInfOrNaN::IsNegativeInfinity(v))
|
|
{
|
|
buf[offs+0]='.';
|
|
buf[offs+1]='n';
|
|
buf[offs+2]='e';
|
|
buf[offs+3]='g';
|
|
buf[offs+4]='i';
|
|
buf[offs+5]='n';
|
|
buf[offs+6]='f';
|
|
buf[offs+7]='_';
|
|
buf[offs+8]='_';
|
|
buf[offs+9]='_';
|
|
buf[offs+10]='_';
|
|
offs+=m_ser_entry_length;
|
|
//--- exit the function
|
|
return;
|
|
}
|
|
//--- process general case:
|
|
//--- 1. copy v to array of chars
|
|
//--- 2. set 9th byte to zero in order to simplify conversion to six-bit representation
|
|
//--- 3. convert to little endian (if needed)
|
|
//--- 4. convert to six-bit representation
|
|
//--- (last 12th element of sixbits is always zero, we do not output it)
|
|
uchar _bytes[];
|
|
BitConverter::GetBytes(v,_bytes);
|
|
//--- check
|
|
if(!BitConverter::IsLittleEndian())
|
|
ArrayReverse(_bytes);
|
|
//--- copy
|
|
for(i=0; i<sizeof(double); i++)
|
|
bytes[i]=_bytes[i];
|
|
//--- filling
|
|
for(i=sizeof(double); i<9; i++)
|
|
bytes[i]=0;
|
|
//--- function call
|
|
ThreeBytes2FourSixBits(bytes,0,sixbits,0);
|
|
//--- function call
|
|
ThreeBytes2FourSixBits(bytes,3,sixbits,4);
|
|
//--- function call
|
|
ThreeBytes2FourSixBits(bytes,6,sixbits,8);
|
|
//--- function call
|
|
for(i=0; i<m_ser_entry_length; i++)
|
|
buf[offs+i]=SixBits2Char(sixbits[i]);
|
|
//--- change value
|
|
offs+=m_ser_entry_length;
|
|
}
|
|
//+------------------------------------------------------------------+
|
|
//| This function unserializes double value from string |
|
|
//| buf buffer which contains value;leading |
|
|
//| spaces/tabs/newlines are ignored, traling |
|
|
//| spaces/tabs/newlines are treated as end of the |
|
|
//| double value. |
|
|
//| offs offset in the buffer |
|
|
//| after return(from this function, offs points to the char's past |
|
|
//| the value being read. |
|
|
//| This function raises an error in case unexpected symbol is found |
|
|
//+------------------------------------------------------------------+
|
|
double CSerializer::Str2Double(char &buf[],int &offs)
|
|
{
|
|
//--- create variables
|
|
string emsg="ALGLIB: unable to read double value from stream";
|
|
int sixbitsread;
|
|
//--- create arrays
|
|
uchar bytes[];
|
|
uchar _bytes[];
|
|
int sixbits[];
|
|
//--- allocation
|
|
ArrayResizeAL(bytes,9);
|
|
ArrayResizeAL(sixbits,12);
|
|
ArrayResizeAL(_bytes,sizeof(double));
|
|
//--- skip leading spaces
|
|
while(buf[offs]==' ' || buf[offs]=='\t' || buf[offs]=='\n' || buf[offs]=='\r')
|
|
offs++;
|
|
//--- Handle special cases
|
|
if(buf[offs]=='.')
|
|
{
|
|
//--- function call
|
|
string s=GetSelectionString(buf,offs,m_ser_entry_length);
|
|
//--- check
|
|
if(s==".nan_______")
|
|
{
|
|
offs+=m_ser_entry_length;
|
|
//--- return result
|
|
return(CInfOrNaN::NaN());
|
|
}
|
|
//--- check
|
|
if(s==".posinf____")
|
|
{
|
|
offs+=m_ser_entry_length;
|
|
//--- return result
|
|
return(CInfOrNaN::PositiveInfinity());
|
|
}
|
|
//--- check
|
|
if(s==".neginf____")
|
|
{
|
|
offs+=m_ser_entry_length;
|
|
//--- return result
|
|
return(CInfOrNaN::NegativeInfinity());
|
|
}
|
|
Print(__FUNCTION__+"emsg");
|
|
//--- return result
|
|
return(EMPTY_VALUE);
|
|
}
|
|
//--- General case:
|
|
//--- 1. read and decode six-bit digits
|
|
//--- 2. check that all 11 digits were read
|
|
//--- 3. set last 12th digit to zero (needed for simplicity of conversion)
|
|
//--- 4. convert to 8 bytes
|
|
//--- 5. convert to big endian representation, if needed
|
|
sixbitsread=0;
|
|
while(buf[offs]!=' ' && buf[offs]!='\t' && buf[offs]!='\n' && buf[offs]!='\r' && buf[offs]!=0)
|
|
{
|
|
int d;
|
|
//--- function call
|
|
d=Char2SixBits(buf[offs]);
|
|
//--- check
|
|
if(d<0 || sixbitsread>=m_ser_entry_length)
|
|
{
|
|
Print(__FUNCTION__+"emsg");
|
|
//--- return result
|
|
return(EMPTY_VALUE);
|
|
}
|
|
sixbits[sixbitsread]=d;
|
|
sixbitsread++;
|
|
offs++;
|
|
}
|
|
//--- check
|
|
if(sixbitsread!=m_ser_entry_length)
|
|
{
|
|
Print(__FUNCTION__+"emsg");
|
|
//--- return result
|
|
return(EMPTY_VALUE);
|
|
}
|
|
sixbits[m_ser_entry_length]=0;
|
|
//--- function call
|
|
FourSixBits2ThreeBytes(sixbits,0,bytes,0);
|
|
//--- function call
|
|
FourSixBits2ThreeBytes(sixbits,4,bytes,3);
|
|
//--- function call
|
|
FourSixBits2ThreeBytes(sixbits,8,bytes,6);
|
|
//--- copy
|
|
for(int i=0; i<sizeof(double); i++)
|
|
_bytes[i]=bytes[i];
|
|
//--- check
|
|
if(!BitConverter::IsLittleEndian())
|
|
ArrayReverse(_bytes);
|
|
//--- return result
|
|
return(BitConverter::ToDouble(_bytes));
|
|
}
|
|
//+------------------------------------------------------------------+
|