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 * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License

 * version 2 for more details (a copy is included in the LICENSE file that

 * accompanied this code).

 *

 * You should have received a copy of the GNU General Public License version

 * 2 along with this work; if not, write to the Free Software Foundation,

 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.

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#include "memory/allocation.hpp"

/**

 **  This file contains a few classes that represent number sequence,

 **  x1, x2, x3, ..., xN, and can calculate their avg, max, and sd.

 **

 **  Here's a quick description of the classes:

 **

 **    AbsSeq: abstract superclass

 **    NumberSeq: the sequence is assumed to be very long and the

 **      maximum, avg, sd, davg, and dsd are calculated over all its elements

 **    TruncatedSeq: this class keeps track of the last L elements

 **      of the sequence and calculates avg, max, and sd only over them

 **/

#define DEFAULT_ALPHA_VALUE 0.7

class AbsSeq: public CHeapObj<mtInternal> {

private:

  void init(double alpha);

protected:

  int    _num; // the number of elements in the sequence

  double _sum; // the sum of the elements in the sequence

  double _sum_of_squares; // the sum of squares of the elements in the sequence

  double _davg; // decaying average

  double _dvariance; // decaying variance

  double _alpha; // factor for the decaying average / variance

  // This is what we divide with to get the average. In a standard

  // number sequence, this should just be the number of elements in it.

  virtual double total() const { return (double) _num; };

public:

  AbsSeq(double alpha = DEFAULT_ALPHA_VALUE);

  virtual void add(double val); // adds a new element to the sequence

  void add(unsigned val) { add((double) val); }

  virtual double maximum() const = 0; // maximum element in the sequence

  virtual double last() const = 0; // last element added in the sequence

  // the number of elements in the sequence

  int num() const { return _num; }

  // the sum of the elements in the sequence

  double sum() const { return _sum; }

  double avg() const; // the average of the sequence

  double variance() const; // the variance of the sequence

  double sd() const; // the standard deviation of the sequence

  double davg() const; // decaying average

  double dvariance() const; // decaying variance

  double dsd() const; // decaying "standard deviation"

  // Debugging/Printing

  virtual void dump();

  virtual void dump_on(outputStream* s);

};

class NumberSeq: public AbsSeq {

private:

  bool check_nums(NumberSeq* total, int n, NumberSeq** parts);

protected:

  double _last;

  double _maximum; // keep track of maximum value

public:

  NumberSeq(double alpha = DEFAULT_ALPHA_VALUE);

  virtual void add(double val);

  virtual double maximum() const { return _maximum; }

  virtual double last() const { return _last; }

  // Debugging/Printing

  virtual void dump_on(outputStream* s);

};

class TruncatedSeq: public AbsSeq {

private:

  enum PrivateConstants {

    DefaultSeqLength = 10

  };

  void init();

protected:

  double *_sequence; // buffers the last L elements in the sequence

  int     _length; // this is L

  int     _next;   // oldest slot in the array, i.e. next to be overwritten

public:

  // accepts a value for L

  TruncatedSeq(int length = DefaultSeqLength,

               double alpha = DEFAULT_ALPHA_VALUE);

  ~TruncatedSeq();

  virtual void add(double val);

  virtual double maximum() const;

  virtual double last() const; // the last value added to the sequence

  double oldest() const; // the oldest valid value in the sequence

  double predict_next() const; // prediction based on linear regression

  // Debugging/Printing

  virtual void dump_on(outputStream* s);

};