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#ifndef REGRESSION_MODEL_H
#define REGRESSION_MODEL_H
#include <stdint.h>
#include "../../i18n.h"
#include <poincare/context.h>
#include <poincare/expression.h>
namespace Regression {
class Store;
class Model {
public:
enum class Type : uint8_t {
Linear = 0,
Quadratic = 1,
Cubic = 2,
Quartic = 3,
Logarithmic = 4,
Exponential = 5,
Power = 6,
Trigonometric = 7,
Logistic = 8
};
static constexpr int k_numberOfModels = 9;
static constexpr int k_maxNumberOfCoefficients = 5;
virtual ~Model() = default;
virtual Poincare::ExpressionLayout * layout() = 0;
// simplifiedExpression is overrided only by Models that override levelSet
virtual Poincare::Expression * simplifiedExpression(double * modelCoefficients, Poincare::Context * context) { return nullptr; }
virtual I18n::Message formulaMessage() const = 0;
virtual double evaluate(double * modelCoefficients, double x) const = 0;
virtual double levelSet(double * modelCoefficients, double xMin, double step, double xMax, double y, Poincare::Context * context);
virtual void fit(Store * store, int series, double * modelCoefficients, Poincare::Context * context);
virtual int numberOfCoefficients() const = 0;
virtual int bannerLinesCount() const { return 2; }
protected:
// Fit
virtual bool dataSuitableForFit(Store * store, int series) const;
private:
// Model attributes
virtual double partialDerivate(double * modelCoefficients, int derivateCoefficientIndex, double x) const = 0;
// Levenberg-Marquardt
static constexpr double k_maxIterations = 100;
static constexpr double k_maxMatrixInversionFixIterations = 10;
static constexpr double k_initialLambda = 0.001;
static constexpr double k_lambdaFactor = 10;
static constexpr double k_chi2ChangeCondition = 0.001;
static constexpr double k_initialCoefficientValue = 1.0;
static constexpr int k_consecutiveSmallChi2ChangesLimit = 10;
void fitLevenbergMarquardt(Store * store, int series, double * modelCoefficients, Poincare::Context * context);
double chi2(Store * store, int series, double * modelCoefficients) const;
double alphaPrimeCoefficient(Store * store, int series, double * modelCoefficients, int k, int l, double lambda) const;
double alphaCoefficient(Store * store, int series, double * modelCoefficients, int k, int l) const;
double betaCoefficient(Store * store, int series, double * modelCoefficients, int k) const;
int solveLinearSystem(double * solutions, double * coefficients, double * constants, int solutionDimension, Poincare::Context * context);
};
}
#endif
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