JQSakaJoo
748 lines
44 KiB
Plaintext
748 lines
44 KiB
Plaintext
//——————————————————————————————————————————————————————————————————————————————
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class C_Function
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{
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public: //====================================================================
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double CalcFunc (double &args [], //function arguments
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int amount) //amount of runs functions
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{
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double x, y;
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double sum = 0.0;
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for (int i = 0; i < amount; i++)
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{
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x = args [i * 2];
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y = args [i * 2 + 1];
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//double u = 0.5;
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//x = x * cos (u) - y * sin (u);
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//y = x * sin (u) + y * cos (u);
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if (x < GetMinRangeX ()) x = GetMinRangeX ();
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if (x > GetMaxRangeX ()) x = GetMaxRangeX ();
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if (y < GetMinRangeY ()) y = GetMinRangeY ();
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if (y > GetMaxRangeY ()) y = GetMaxRangeY ();
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sum += Core (x, y);
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}
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sum /= (double)amount;
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//if (MathClassify(sum) == -FP_NAN) Print ("F: ", sum, " -| ", amount);
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//if (MathClassify(sum) == FP_NAN) Print ("F: ", sum, " +| ", amount);
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return sum;
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}
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double GetMinRangeX () { return xMinRange;}
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double GetMaxRangeX () { return xMaxRange;}
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double GetMinRangeY () { return yMinRange;}
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double GetMaxRangeY () { return yMaxRange; }
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double GetMinFuncX () { return xGlobalMin;}
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double GetMaxFuncX () { return xGlobalMax;}
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double GetMinFuncY () { return yGlobalMin;}
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double GetMaxFuncY () { return yGlobalMax;}
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double GetMinFunValue () { return globalMinFunValue;}
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double GetMaxFunValue () { return globalMaxFunValue;}
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string GetFuncName () { return fuName;}
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virtual double Core (double x, double y)
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{
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return 0.0;
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}
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virtual double Core (double &x [])
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{
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return 0.0;
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}
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double xMinRange;
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double xMaxRange;
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double yMinRange;
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double yMaxRange;
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double xGlobalMax;
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double yGlobalMax;
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double xGlobalMin;
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double yGlobalMin;
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double globalMinFunValue;
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double globalMaxFunValue;
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string fuName;
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public:
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double Scale (double In, double InMIN, double InMAX, double OutMIN, double OutMAX)
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{
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if (OutMIN == OutMAX) return (OutMIN);
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if (InMIN == InMAX) return ((OutMIN + OutMAX) / 2.0);
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else
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{
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if (In < InMIN) return (OutMIN);
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if (In > InMAX) return (OutMAX);
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return (((In - InMIN) * (OutMAX - OutMIN) / (InMAX - InMIN)) + OutMIN);
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}
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}
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double SeInDiSp (double In, double InMin, double InMax, double Step)
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{
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return (InMin + Step * (double)MathRound ((In - InMin) / Step));
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}
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};
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//——————————————————————————————————————————————————————————————————————————————
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//——————————————————————————————————————————————————————————————————————————————
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enum EFunc
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{
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NONE_Func,
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Skin,
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SkinDiscrete,
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Hilly,
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HillyDiscrete,
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Peaks,
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Parabola,
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Rastrigin,
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Forest,
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Megacity,
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Universe,
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Ackley,
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GoldsteinPrice,
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Shaffer
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};
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C_Function *SelectFunction (EFunc f)
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{
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C_Function *func;
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switch (f)
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{
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case Skin:
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func = new C_Skin ();
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return (GetPointer (func));
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case SkinDiscrete:
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func = new C_SkinDiscrete ();
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return (GetPointer (func));
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case Hilly:
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func = new C_Hilly ();
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return (GetPointer (func));
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case HillyDiscrete:
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func = new C_HillyDiscrete ();
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return (GetPointer (func));
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case Peaks:
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func = new C_Peaks ();
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return (GetPointer (func));
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case Parabola:
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func = new C_Parabola ();
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return (GetPointer (func));
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case Rastrigin:
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func = new C_Rastrigin ();
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return (GetPointer (func));
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case Forest:
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func = new C_Forest ();
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return (GetPointer (func));
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case Megacity:
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func = new C_Megacity ();
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return (GetPointer (func));
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case Universe:
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func = new C_Universe ();
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return (GetPointer (func));
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case Ackley:
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func = new C_Ackley ();
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return (GetPointer (func));
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case GoldsteinPrice:
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func = new C_GoldsteinPrice ();
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return (GetPointer (func));
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case Shaffer:
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func = new C_Shaffer ();
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return (GetPointer (func));
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default:
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func = NULL; return NULL;
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}
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}
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//——————————————————————————————————————————————————————————————————————————————
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//——————————————————————————————————————————————————————————————————————————————
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class C_Skin : public C_Function
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{
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public: //====================================================================
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C_Skin ()
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{
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fuName = "Skin";
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//границы функции
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xMinRange = -6; xMaxRange = 6;
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yMinRange = -6; yMaxRange = 6;
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//координаты максимума
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globalMaxFunValue = 1.0; //14.060606995534872
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xGlobalMax = -3.315699080744071;
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yGlobalMax = -3.0724849592478254;
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//координаты минимума
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globalMinFunValue = 0.0; //-4.313787122075561
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xGlobalMin = 3.070541082164328;
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yGlobalMin = 2.8028056112224458;
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}
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double Core (double x, double y)
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{
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double a1 = 2 * x * x;
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double a2 = 2 * y * y;
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double b1 = MathCos (a1) - 1.1;
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b1 = b1 * b1;
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double c1 = MathSin (0.5 * x) - 1.2;
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c1 = c1 * c1;
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double d1 = MathCos (a2) - 1.1;
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d1 = d1 * d1;
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double e1 = MathSin (0.5 * y) - 1.2;
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e1 = e1 * e1;
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double res = b1 + c1 - d1 + e1;
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return Scale (res, -4.313787122075561, 14.060606995534872, 0.0, 1.0);
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}
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};
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//——————————————————————————————————————————————————————————————————————————————
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//——————————————————————————————————————————————————————————————————————————————
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class C_SkinDiscrete : public C_Function
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{
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public: //====================================================================
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C_SkinDiscrete ()
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{
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fuName = "Skin Discrete";
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//границы функции
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xMinRange = f.GetMinRangeX (); xMaxRange = f.GetMaxRangeX ();
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yMinRange = f.GetMinRangeY (); yMaxRange = f.GetMaxRangeY ();
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//координаты максимума
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globalMaxFunValue = f.GetMaxFunValue ();
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xGlobalMax = f.GetMaxFuncX ();
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yGlobalMax = f.GetMaxFuncY ();
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//координаты минимума
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globalMinFunValue = f.GetMinFunValue ();
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xGlobalMin = f.GetMinFuncX ();
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yGlobalMin = f.GetMinFuncY ();
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}
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C_Skin f;
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double Core (double x, double y)
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{
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double res = f.Core (x, y);
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return SeInDiSp (res, f.GetMinFunValue (), f.GetMaxFunValue (), 0.2);
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}
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};
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//——————————————————————————————————————————————————————————————————————————————
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//——————————————————————————————————————————————————————————————————————————————
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class C_Hilly : public C_Function
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{
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public: //====================================================================
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C_Hilly ()
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{
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fuName = "Hilly";
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//границы функции
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xMinRange = -3; xMaxRange = 3;
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yMinRange = -3; yMaxRange = 3;
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//координаты максимума
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globalMaxFunValue = 1; //229.91931214214105
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xGlobalMax = -1.4809053654574758;
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yGlobalMax = 0.6254111843389699;
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//координаты минимума
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globalMinFunValue = 0.0; //-39.701816104859866
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xGlobalMin = 1.3200361419666748;
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yGlobalMin = 1.9993728393766546;
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}
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double Core (double x, double y)
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{
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double res = 20.0 + x * x + y * y - 10.0 * cos (2.0 * M_PI * x) - 10.0 * cos (2.0 * M_PI * y)
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- 30.0 * exp (-(pow (x - 1.0, 2) + y * y) / 0.1)
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+ 200.0 * exp (-(pow (x + M_PI * 0.47, 2) + pow (y - M_PI * 0.2, 2)) / 0.1) //global max
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+ 100.0 * exp (-(pow (x - 0.5, 2) + pow (y + 0.5, 2)) / 0.01)
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- 60.0 * exp (-(pow (x - 1.33, 2) + pow (y - 2.0, 2)) / 0.02) //global min
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- 40.0 * exp (-(pow (x + 1.3, 2) + pow (y + 0.2, 2)) / 0.5)
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+ 60.0 * exp (-(pow (x - 1.5, 2) + pow (y + 1.5, 2)) / 0.1);
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return Scale (res, -39.701816104859866, 229.91931214214105, 0.0, 1.0);
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}
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};
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//——————————————————————————————————————————————————————————————————————————————
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//——————————————————————————————————————————————————————————————————————————————
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class C_HillyDiscrete : public C_Function
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{
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public: //====================================================================
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C_HillyDiscrete ()
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{
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fuName = "Hilly Discrete";
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//границы функции
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xMinRange = f.GetMinRangeX (); xMaxRange = f.GetMaxRangeX ();
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yMinRange = f.GetMinRangeY (); yMaxRange = f.GetMaxRangeY ();
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//координаты максимума
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globalMaxFunValue = f.GetMaxFunValue ();
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xGlobalMax = f.GetMaxFuncX ();
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yGlobalMax = f.GetMaxFuncY ();
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//координаты минимума
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globalMinFunValue = f.GetMinFunValue ();
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xGlobalMin = f.GetMinFuncX ();
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yGlobalMin = f.GetMinFuncY ();
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}
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C_Hilly f;
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double Core (double x, double y)
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{
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double res = f.Core (x, y);
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return SeInDiSp (res, f.GetMinFunValue (), f.GetMaxFunValue (), 0.05);
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}
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};
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//——————————————————————————————————————————————————————————————————————————————
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//——————————————————————————————————————————————————————————————————————————————
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class C_Peaks : public C_Function
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{
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public: //===================================================================
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C_Peaks ()
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{
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fuName = "Peaks";
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//границы функции
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xMinRange = -10; xMaxRange = 10;
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yMinRange = -10; yMaxRange = 10;
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//координаты максимума
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globalMaxFunValue = 1.0; //33.252940767815666
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xGlobalMax = 3.6172118548423646;
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yGlobalMax = 4.911783359236607;
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//координаты минимума
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globalMinFunValue = 0.0; //-4.1530660577390766
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xGlobalMin = 2.3467375713370155;
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yGlobalMin = 5.6567339091158795;
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}
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double Core (double x, double y)
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{
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double k = 0.0;
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double X = 3.0 - x;
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double Y = 4.0 - y;
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if (x >= 0.0 && y >= 0.0)
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{
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k = 20.0;
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}
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double res = k * MathPow ((1 - X), 2) * MathExp (-X * X - (Y + 1) * (Y + 1)) - 10 * (0.2 * X - MathPow (X, 3) - MathPow (Y, 5)) * MathExp (-X * X - Y * Y) - 1 / 3 * MathExp (-(X + 1) * (X + 1) - Y * Y);
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return Scale (res, -4.1530660577390766, 33.252940767815666, 0.0, 1.0);
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}
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};
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//——————————————————————————————————————————————————————————————————————————————
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//——————————————————————————————————————————————————————————————————————————————
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class C_Parabola : public C_Function
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{
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public: //===================================================================
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C_Parabola ()
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{
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fuName = "Parabola";
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//границы функции
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xMinRange = -10; xMaxRange = 10;
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yMinRange = -10; yMaxRange = 10;
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//координаты максимума
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globalMaxFunValue = 1; //0
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xGlobalMax = 0.0;
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yGlobalMax = 0.0;
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//координаты минимума
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globalMinFunValue = 0.0; //200
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xGlobalMin = 10;
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yGlobalMin = 10;
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}
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double Core (double x, double y)
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{
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double res = -(x * x + y * y);
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return Scale (res, -200.0, 0.0, 0.0, 1.0);
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}
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};
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//——————————————————————————————————————————————————————————————————————————————
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//——————————————————————————————————————————————————————————————————————————————
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class C_Rastrigin : public C_Function
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{
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public: //===================================================================
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C_Rastrigin ()
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{
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fuName = "Rastrigin";
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//границы функции
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xMinRange = -5; xMaxRange = 5;
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yMinRange = -5; yMaxRange = 5;
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//координаты максимума
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globalMaxFunValue = 1.0; //80.70658038767792
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xGlobalMax = 4.522993657149848;
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yGlobalMax = 4.522993657149848;
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//координаты минимума
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globalMinFunValue = 0.0; //1.2390563437933917e-14
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xGlobalMin = 0.0;
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yGlobalMin = 0.0;
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}
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double Core (double x, double y)
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{
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double res = 20.0 + x * x + y * y
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- 10.0 * cos (2.0 * M_PI * x)
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- 10.0 * cos (2.0 * M_PI * y);
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return Scale (res, 1.2390563437933917e-14, 80.70658038767792, 0.0, 1.0);
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}
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};
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//——————————————————————————————————————————————————————————————————————————————
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//——————————————————————————————————————————————————————————————————————————————
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class C_Forest : public C_Function
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{
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public: //===================================================================
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C_Forest ()
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{
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fuName = "Forest";
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//границы функции
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xMinRange = -43.50; xMaxRange = -39;
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yMinRange = -47.35; yMaxRange = -40;
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//координаты максимума
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globalMaxFunValue = 1.0; //1.8779867959790217
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xGlobalMax = -40.840704496667314;
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yGlobalMax = -41.982297150257104;
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//координаты минимума
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globalMinFunValue = 0.0; //-0.26489289358875895
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xGlobalMin = -42.2988573690385010;
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yGlobalMin = -45.9956119113080675;
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}
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double Core (double x, double y)
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{
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double a = MathSin (MathSqrt (MathAbs (x - 1.13) + MathAbs (y - 2.0)));
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double b = MathCos (MathSqrt (MathAbs (MathSin (x))) + MathSqrt (MathAbs (MathSin (y - 2.0))));
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double f = a + b
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+ 1.01 * exp (-(pow (x + 42, 2) + pow (y + 43.5, 2)) / 0.9)
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+ 1.0 * exp (-(pow (x + 40.2, 2) + pow (y + 46, 2)) / 0.3);
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double res = MathPow (f, 4)
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- 0.3 * exp (-(pow (x + 42.3, 2) + pow (y + 46.0, 2)) / 0.02);
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return Scale (res, -0.26489289358875895, 1.8779867959790217, 0.0, 1.0);
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}
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};
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//——————————————————————————————————————————————————————————————————————————————
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//——————————————————————————————————————————————————————————————————————————————
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class C_Megacity : public C_Function
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{
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public: //===================================================================
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C_Megacity ()
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{
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fuName = "Megacity";
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//границы функции
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xMinRange = -10.0; xMaxRange = -2;
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yMinRange = -10.5; yMaxRange = 10;
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//координаты максимума
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globalMaxFunValue = 1.0; //12.0
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xGlobalMax = -3.1357545740179393;
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yGlobalMax = 2.006136371058429;
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//координаты минимума
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globalMinFunValue = 0.0; //-1
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xGlobalMin = -9.5;
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yGlobalMin = -7.5;
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}
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double Core (double x, double y)
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{
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double a = MathSin (MathSqrt (MathAbs (x - 1.13) + MathAbs (y - 2.0)));
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double b = MathCos (MathSqrt (MathAbs (MathSin (x))) + MathSqrt (MathAbs (MathSin (y - 2.0))));
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double f = a + b;
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double res = floor (MathPow (f, 4)) -
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floor (2 * exp (-(pow (x + 9.5, 2) + pow (y + 7.5, 2)) / 0.4));
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return Scale (res, -1.0, 12.0, 0.0, 1.0);
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}
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};
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//——————————————————————————————————————————————————————————————————————————————
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//——————————————————————————————————————————————————————————————————————————————
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class C_Ackley : public C_Function
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{
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public: //===================================================================
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C_Ackley ()
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{
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fuName = "Ackley";
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//границы функции
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xMinRange = -5; xMaxRange = 5;
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yMinRange = -5; yMaxRange = 5;
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//координаты максимума
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globalMaxFunValue = 1.0; //0.0;
|
|
xGlobalMax = 0.0;
|
|
yGlobalMax = 0.0;
|
|
|
|
//координаты минимума
|
|
globalMinFunValue = 0.0; //-14.302667500265278;
|
|
xGlobalMin = -4.597534757757757;
|
|
yGlobalMin = 4.597534757757757;
|
|
}
|
|
|
|
double Core (double x, double y)
|
|
{
|
|
double res1 = -20.0 * MathExp (-0.2 * MathSqrt (0.5 * (x * x + y * y)));
|
|
double res2 = -MathExp (0.5 * (MathCos (2.0 * M_PI * x) + MathCos (2.0 * M_PI * y)));
|
|
double res3 = -(res1 + res2 + M_E + 20.0);
|
|
|
|
return Scale (res3, -14.302667500265278, 0.0, 0.0, 1.0);
|
|
}
|
|
};
|
|
//——————————————————————————————————————————————————————————————————————————————
|
|
|
|
//——————————————————————————————————————————————————————————————————————————————
|
|
class C_GoldsteinPrice : public C_Function
|
|
{
|
|
public: //===================================================================
|
|
C_GoldsteinPrice ()
|
|
{
|
|
fuName = "GoldsteinPrice";
|
|
|
|
//границы функции
|
|
xMinRange = -2;
|
|
xMaxRange = 2;
|
|
yMinRange = -2;
|
|
yMaxRange = 2;
|
|
|
|
//координаты максимума
|
|
globalMaxFunValue = 1.0; //-3;
|
|
xGlobalMax = 0;
|
|
yGlobalMax = -1;
|
|
|
|
|
|
//координаты минимума
|
|
globalMinFunValue = 0.0; //-1015690.2717980597;
|
|
xGlobalMin = -1.7373725379666005;
|
|
yGlobalMin = 2;
|
|
}
|
|
|
|
double Core (double x, double y)
|
|
{
|
|
double part1 = 1 + MathPow ((x + y + 1), 2) * (19 - 14 * x + 3 * x * x - 14 * y + 6 * x * y + 3 * y * y);
|
|
double part2 = 30 + MathPow ((2 * x - 3 * y), 2) * (18 - 32 * x + 12 * x * x + 48 * y - 36 * x * y + 27 * y * y);
|
|
|
|
return Scale (-part1 * part2, -1015690.2717980597, -3.0, 0.0, 1.0);
|
|
}
|
|
};
|
|
//——————————————————————————————————————————————————————————————————————————————
|
|
|
|
|
|
//Минимум функции Шаффера N2 достигается при (x = 0) и (y = 0), и значение функции в этой точке равно 0.
|
|
|
|
//——————————————————————————————————————————————————————————————————————————————
|
|
class C_Shaffer : public C_Function
|
|
{
|
|
public: //===================================================================
|
|
C_Shaffer ()
|
|
{
|
|
fuName = "Shaffer";
|
|
|
|
//границы функции
|
|
xMinRange = -100;
|
|
xMaxRange = 100;
|
|
yMinRange = -100;
|
|
yMaxRange = 100;
|
|
|
|
//координаты максимума
|
|
globalMaxFunValue = 1.0; //0.0;
|
|
xGlobalMax = 0.0;
|
|
yGlobalMax = 0.0;
|
|
|
|
//координаты минимума
|
|
globalMinFunValue = 0.0; //-0.9984331449753265
|
|
xGlobalMin = 1.253115070280703;
|
|
yGlobalMin = 0.0;
|
|
}
|
|
|
|
double Core (double x, double y)
|
|
{
|
|
double numerator = MathPow (MathSin (x * x - y * y), 2) - 0.5;
|
|
double denominator = MathPow (1 + 0.001 * (x * x + y * y), 2);
|
|
|
|
return Scale (-(0.5 + numerator / denominator), -0.9984331449753265, 0, 0, 1.0);
|
|
}
|
|
};
|
|
//——————————————————————————————————————————————————————————————————————————————
|
|
|
|
//——————————————————————————————————————————————————————————————————————————————
|
|
class C_Universe : public C_Function
|
|
{
|
|
public: //===================================================================
|
|
C_Universe ()
|
|
{
|
|
fuName = "Universe";
|
|
|
|
//границы функции
|
|
xMinRange = -100; xMaxRange = 100;
|
|
yMinRange = -100; yMaxRange = 100;
|
|
|
|
//координаты максимума
|
|
globalMaxFunValue = 0.0;
|
|
xGlobalMax = 0.0;
|
|
yGlobalMax = 0.0;
|
|
|
|
//координаты минимума
|
|
globalMinFunValue = 0.0;
|
|
xGlobalMin = 0.0;
|
|
yGlobalMin = 0.0;
|
|
}
|
|
|
|
double Core (double x, double y)
|
|
{
|
|
return (0.0);
|
|
}
|
|
};
|
|
//——————————————————————————————————————————————————————————————————————————————
|
|
|
|
//——————————————————————————————————————————————————————————————————————————————
|
|
class C_Multiverse
|
|
{
|
|
public: //===================================================================
|
|
C_Multiverse ()
|
|
{
|
|
}
|
|
|
|
C_Hilly H;
|
|
C_Forest F;
|
|
C_Megacity M;
|
|
|
|
double hArg [2];
|
|
double fArg [2];
|
|
double mArg [2];
|
|
|
|
void GetFuncRanges (double &rangeMin [],
|
|
double &rangeMax [],
|
|
int amount) //amount of runs functions, the number is a multiple of 6
|
|
{
|
|
ArrayResize (rangeMin, amount * 6);
|
|
ArrayResize (rangeMax, amount * 6);
|
|
|
|
for (int i = 0; i < amount; i++)
|
|
{
|
|
rangeMin [i * 6] = H.GetMinRangeX ();
|
|
rangeMin [i * 6 + 1] = F.GetMinRangeY ();
|
|
rangeMin [i * 6 + 2] = M.GetMinRangeX ();
|
|
rangeMin [i * 6 + 3] = H.GetMinRangeY ();
|
|
rangeMin [i * 6 + 4] = F.GetMinRangeX ();
|
|
rangeMin [i * 6 + 5] = M.GetMinRangeY ();
|
|
|
|
rangeMax [i * 6] = H.GetMaxRangeX ();
|
|
rangeMax [i * 6 + 1] = F.GetMaxRangeY ();
|
|
rangeMax [i * 6 + 2] = M.GetMaxRangeX ();
|
|
rangeMax [i * 6 + 3] = H.GetMaxRangeY ();
|
|
rangeMax [i * 6 + 4] = F.GetMaxRangeX ();
|
|
rangeMax [i * 6 + 5] = M.GetMaxRangeY ();
|
|
}
|
|
}
|
|
|
|
double CalcFunc (double &args [], //function arguments
|
|
int amount) //amount of runs functions
|
|
{
|
|
double result = 0.0;
|
|
|
|
for (int i = 0; i < amount; i++)
|
|
{
|
|
hArg [0] = args [i * 6];
|
|
hArg [1] = args [i * 6 + 3];
|
|
|
|
fArg [0] = args [i * 6 + 1];
|
|
fArg [1] = args [i * 6 + 4];
|
|
|
|
mArg [0] = args [i * 6 + 2];
|
|
mArg [1] = args [i * 6 + 5];
|
|
|
|
result+= H.CalcFunc (hArg, 1);
|
|
result+= F.CalcFunc (fArg, 1);
|
|
result+= M.CalcFunc (mArg, 1);
|
|
}
|
|
|
|
return result / (3.0 * amount);
|
|
}
|
|
};
|
|
//——————————————————————————————————————————————————————————————————————————————
|
|
|
|
//——————————————————————————————————————————————————————————————————————————————
|
|
//GenerateFunctionDataFixedSize
|
|
bool GenerateFunctionDataFixedSize (int x_size, int y_size, double &data [], double x_min, double x_max, double y_min, double y_max, C_Function &function)
|
|
{
|
|
if (x_size < 2 || y_size < 2)
|
|
{
|
|
PrintFormat ("Error in data sizes: x_size=%d,y_size=%d", x_size, y_size);
|
|
return (false);
|
|
}
|
|
|
|
double dx = (x_max - x_min) / (x_size - 1);
|
|
double dy = (y_max - y_min) / (y_size - 1);
|
|
|
|
ArrayResize (data, x_size * y_size);
|
|
|
|
//---
|
|
for (int j = 0; j < y_size; j++)
|
|
{
|
|
for (int i = 0; i < x_size; i++)
|
|
{
|
|
double x = x_min + i * dx;
|
|
double y = y_min + j * dy;
|
|
|
|
data [j * x_size + i] = function.Core (x, y);
|
|
}
|
|
}
|
|
return (true);
|
|
}
|
|
//——————————————————————————————————————————————————————————————————————————————
|
|
|
|
//——————————————————————————————————————————————————————————————————————————————
|
|
//GenerateDataFixedSize
|
|
bool GenerateDataFixedSize (int x_size, int y_size, C_Function &function, double &data [])
|
|
{
|
|
if (x_size < 2 || y_size < 2)
|
|
{
|
|
PrintFormat ("Error in data sizes: x_size=%d,y_size=%d", x_size, y_size);
|
|
return (false);
|
|
}
|
|
|
|
return GenerateFunctionDataFixedSize (x_size, y_size, data,
|
|
function.GetMinRangeX (),
|
|
function.GetMaxRangeX (),
|
|
function.GetMinRangeY (),
|
|
function.GetMaxRangeY (),
|
|
function);
|
|
}
|
|
//——————————————————————————————————————————————————————————————————————————————
|