| //+------------------------------------------------------------------+
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| //| Functions.mqh |
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| //| Copyright 2000-2025, MetaQuotes Ltd. |
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| //| https://www.mql5.com |
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| //+------------------------------------------------------------------+
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| //--- custom function y=f(x,y)
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| typedef double(*MathFunction)(double, double);
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| //--- Math functions list
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| enum EnFunctionType
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| {
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| Chomolungma=1,
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| ClimberDream=2,
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| Granite=3,
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| Hedgehog=4,
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| Hill=5,
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| Josephine=6,
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| Screw=7,
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| DoubleScrew=8,
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| MultyExtremalScrew=9,
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| Sink=10,
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| Skin=11,
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| Trapfall=12,
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| };
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| //+------------------------------------------------------------------+
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| //| Returns a pointer to a function by its type from FunctionType |
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| //+------------------------------------------------------------------+
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| MathFunction GetMathFunction(EnFunctionType type)
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| {
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| MathFunction function=ClimberDreamFunction;
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| switch(type)
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| {
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| case Chomolungma:
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| function=ChomolungmaFunction;
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| break;
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| case ClimberDream:
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| function=ClimberDreamFunction;
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| break;
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| case Granite:
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| function=GraniteFunction;
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| break;
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| case Hedgehog:
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| function=HedgehogFunction;
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| break;
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| case Hill:
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| function=HillFunction;
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| break;
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| case Josephine:
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| function=JosephineFunction;
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| break;
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| case Screw:
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| function=ScrewFunction;
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| break;
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| case DoubleScrew:
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| function=DoubleScrewFunction;
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| break;
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| case MultyExtremalScrew:
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| function=MultyExtremalScrewFunction;
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| break;
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| case Sink:
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| function=SinkFunction;
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| break;
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| case Skin:
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| function=SkinFunction;
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| break;
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| case Trapfall:
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| function=TrapfallFunction;
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| break;
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| }
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| return(function);
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| }
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| //+------------------------------------------------------------------+
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| //| Function Chomolungma |
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| //+------------------------------------------------------------------+
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| double ChomolungmaFunction(double x, double y)
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| {
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| double a= MathCos(x*x)+MathCos(y*y);
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| double b= MathPow(MathCos(5*x*y), 5);
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| double c=1.0/MathPow(2, b);
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| //--- calculate result
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| double res=a-c;
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| return(res);
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| //---
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| }
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| //+------------------------------------------------------------------+
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| //| Function ClimberDream |
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| //+------------------------------------------------------------------+
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| double ClimberDreamFunction(double x, double y)
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| {
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| double a= MathSin(MathSqrt(MathAbs(x - 1.3) + MathAbs(y)));
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| double b= MathCos(MathSqrt(MathAbs(MathSin(x))) + MathSqrt(MathAbs(MathSin(y))));
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| double f=a+b;
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| //--- calculate result
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| double res=MathPow(f, 4);
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| return(res);
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| //---
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| }
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| //+------------------------------------------------------------------+
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| //| Function Granite |
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| //+------------------------------------------------------------------+
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| double GraniteFunction(double x, double y)
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| {
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| double a= MathPow(MathSin(MathSqrt(MathAbs(x)+MathAbs(y))), 2);
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| double b= MathPow(MathCos(MathSqrt(MathAbs(x)+MathAbs(y))), 2);
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| //--- calculate result
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| double res=a*b;
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| return(res);
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| //---
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| }
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| //+------------------------------------------------------------------+
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| //| Function Hedgehog |
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| //+------------------------------------------------------------------+
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| double HedgehogFunction(double x, double y)
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| {
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| double a1=MathSin(MathSqrt(MathAbs(x-2)+MathAbs(y)));
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| double a2=MathCos(MathSqrt(MathAbs(MathSin(x)))+MathSqrt(MathAbs(MathSin(y))));
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| //--- calculate result
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| double res=a1+a2;
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| return(res);
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| //---
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| }
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| //+------------------------------------------------------------------+
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| //| Function Hill |
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| //+------------------------------------------------------------------+
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| double HillFunction(double x, double y)
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| {
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| //--- calculate result
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| double res=MathExp(-x*x-y*y);
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| return(res);
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| //---
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| }
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| //+------------------------------------------------------------------+
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| //| Function Josephine |
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| //+------------------------------------------------------------------+
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| double JosephineFunction(double x, double y)
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| {
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| double a= MathSin(MathPow(MathAbs(x)+MathAbs(y), 0.5));
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| double b= MathCos(MathPow(MathAbs(x), 0.5)+MathPow(MathAbs(y), 0.5));
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| //--- calculate function
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| double res=a+b;
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| return(res);
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| //---
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| }
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| //+------------------------------------------------------------------+
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| //| Function Screw |
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| //+------------------------------------------------------------------+
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| double ScrewFunction(double x, double y)
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| {
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| double a=(y==0)?0:((x*y<0)?MathArctan(x/y):MathArctan(x/y)+M_PI);
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| double b=x*x+y*y;
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| double f=MathSin(b+a);
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| //--- calculate result
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| double res=(f*f);
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| return(res);
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| //---
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| }
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| //+------------------------------------------------------------------+
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| //| Function DoubleScrew |
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| //+------------------------------------------------------------------+
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| double DoubleScrewFunction(double x, double y)
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| {
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| double a=(y==0)?0:((x*y<0)?MathArctan(x/y):MathArctan(x/y)+M_PI);
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| double b=x*x+y*y;
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| double res1=MathCos(b/2+a*3);
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| res1=((res1*res1)/sqrt(b+1)-0.2);
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| double res2=MathCos(b/2-a*3);
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| res2=((res2*res2)/sqrt(b+1)-0.2);
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| double f=fmax(res1, res2);
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| //--- calculate result
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| double res=(f>0)?f:0;
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| return(res);
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| //---
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| }
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| //+------------------------------------------------------------------+
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| //| Function MultyExtremalScrew |
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| //+------------------------------------------------------------------+
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| double MultyExtremalScrewFunction(double x, double y)
|
| {
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| double a=(y==0)?0:((x*y<0)?MathArctan(x/y):MathArctan(x/y)+M_PI);
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| double b=x*x+y*y;
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| double res1=MathCos(b/2+a*3);
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| res1=((res1*res1)/sqrt(b+1)-0.2);
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| double res2=MathCos(b/2-a*3);
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| res2=((res2*res2)/sqrt(b+1)-0.2);
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| //--- calculate function
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| double res=fmin(res1, res2);
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| return(res);
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| //---
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| }
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| //+------------------------------------------------------------------+
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| //| Function Sink |
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| //+------------------------------------------------------------------+
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| double SinkFunction(double x, double y)
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| {
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| static double k=5.0;
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| static double p=6.0;
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| //--- calculate result
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| double res=MathSin(x*x+y*y)+k*MathExp(-p*x*x-p*y*y);
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| return(res);
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| //---
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| }
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| //+------------------------------------------------------------------+
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| //| Function Skin |
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| //+------------------------------------------------------------------+
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| double SkinFunction(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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| //--- calculate result
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| double res=b1+c1-d1+e1;
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| return(res);
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| //---
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| }
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| //+------------------------------------------------------------------+
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| //| Function Trapfall |
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| //+------------------------------------------------------------------+
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| double TrapfallFunction(double x, double y)
|
| {
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| double a1=MathSqrt(MathAbs(MathSin(x-1.0)));
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| double b1=MathSqrt(MathAbs(MathSin(y+2.0)));
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| //--- calculate result
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| double res=-MathSqrt(MathAbs(MathSin(MathSin(a1+b1))));
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| return(res);
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| //---
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| }
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| //+------------------------------------------------------------------+
|
