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42 lines
2.5 KiB
C++
42 lines
2.5 KiB
C++
#ifndef GRAPH_CARTESIAN_FUNCTION_H
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#define GRAPH_CARTESIAN_FUNCTION_H
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#include "../shared/function.h"
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namespace Graph {
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class CartesianFunction : public Shared::Function {
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public:
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using Shared::Function::Function;
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CartesianFunction(const char * text = nullptr, KDColor color = KDColorBlack);
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bool displayDerivative();
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void setDisplayDerivative(bool display);
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double approximateDerivative(double x, Poincare::Context * context) const;
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double sumBetweenBounds(double start, double end, Poincare::Context * context) const override;
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struct Point {
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double abscissa;
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double value;
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};
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Point nextMinimumFrom(double start, double step, double max, Poincare::Context * context) const;
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Point nextMaximumFrom(double start, double step, double max, Poincare::Context * context) const;
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double nextRootFrom(double start, double step, double max, Poincare::Context * context) const;
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Point nextIntersectionFrom(double start, double step, double max, Poincare::Context * context, const Shared::Function * function) const;
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char symbol() const override;
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private:
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constexpr static double k_precision = 1.0E-5;
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constexpr static double k_sqrtEps = 1.4901161193847656E-8; // sqrt(DBL_EPSILON)
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constexpr static double k_goldenRatio = 0.381966011250105151795413165634361882279690820194237137864; // (3-sqrt(5))/2
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typedef double (*Evaluation)(double abscissa, Poincare::Context * context, const Shared::Function * function0, const Shared::Function * function1);
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Point nextMinimumOfFunction(double start, double step, double max, Evaluation evaluation, Poincare::Context * context, const Shared::Function * function = nullptr, bool lookForRootMinimum = false) const;
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void bracketMinimum(double start, double step, double max, double result[3], Evaluation evaluation, Poincare::Context * context, const Shared::Function * function= nullptr) const;
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Point brentMinimum(double ax, double bx, Evaluation evaluation, Poincare::Context * context, const Shared::Function * function = nullptr) const;
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double nextIntersectionWithFunction(double start, double step, double max, Evaluation evaluation, Poincare::Context * context, const Shared::Function * function) const;
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void bracketRoot(double start, double step, double max, double result[2], Evaluation evaluation, Poincare::Context * context, const Shared::Function * function) const;
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double brentRoot(double ax, double bx, double precision, Evaluation evaluation, Poincare::Context * context, const Shared::Function * function) const;
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bool m_displayDerivative;
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};
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}
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#endif
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