Math controlno - statistics - added some things

#include <iostream>
#include <string>
#include <math.h>
using namespace std;

//Constanti
#define p68 1
#define p95 1.96
#define p99 3


//#define sigmaSstandartnoOtklonenie 0.65
//#define dopustimaGreshka 0.1
#define rows 2
#define columns 5
#define overAllSum 300 // 200
//#define garancionnaOcenka68
//#define garancionnaOcenka95
#define garancionnaOcenka99

#define AVERAGE_PRINT
#define DX_PRINT
#define GAMMA1_PRINT
#define GAMMA2_PRINT



float average = 0;
float sumOfElements = 0;
float dx = 0;
float sigma = 0;
float gama1 = 0;
float gama2 = 0;
float x = 0;
float gama1s = 0;
float gamma2s = 0;
float sigmaS = 0;
float miu = 0;
int input[rows + 1][columns + 1] = {};



void Average()
{
    cout << endl;
    for (int i = 0; i <= columns; i++)
    {
        sumOfElements += input[1][i];
    }
    for (int i = 0; i <= columns; i++)
    {
        average += input[0][i] * input[1][i];
#ifdef  AVERAGE_PRINT
        cout <<" (" <<  input[0][i] << " * "  << input[1][i] << ") +";
#endif
    }
#ifdef AVERAGE_PRINT
    cout << "razdeleno na: " << sumOfElements << endl;
#endif
    cout << endl;
    average /= sumOfElements;
    cout << "Average X: " << average << endl;
}

void DispersionAndSigma()
{
    cout << endl;
    for (int i = 0; i <= columns; i++)
    {
        dx += pow(input[0][i] - average, 2) * input[1][i];
#ifdef DX_PRINT
        cout << " (" << input[0][i] << " - " << average << ")^2 + ";
#endif

    }
#ifdef DX_PRINT
    cout << "razdeleno na: " << sumOfElements << endl;
#endif
    dx /= sumOfElements;
    sigma = sqrt(dx);
    cout << "DX: " << dx << " SIGMA: " << sigma << endl;
}

void Gamma1()
{
    cout << endl;
    for (int i = 0; i <= columns; i++)
    {
#ifdef GAMMA1_PRINT
        cout << " (" << input[0][i] << " - " << average << ")^3 + ";
#endif
        gama1 += pow(input[0][i] - average, 3) * input[1][i];
    }
#ifdef GAMMA1_PRINT
    cout << "razdeleno na: " << sumOfElements << " * " << sigma << "^3 " << endl;
#endif

    gama1 = gama1 / (sumOfElements * pow(sigma, 3));
    cout << "Gama 1: " << gama1 << endl;


}

void Gamma2()
{

    for (int i = 0; i <= columns; i++)
    {
#ifdef GAMMA2_PRINT
        cout << " (" << input[0][i] << " - " << average << ")^4 + ";
#endif
        gama2 += pow(input[0][i] - average, 4) * input[1][i];
    }
#ifdef GAMMA2_PRINT
    cout << "razdeleno na: " << sumOfElements << " * " << sigma << "^4 " << endl;
#endif

    gama2 = gama2 / (sumOfElements * pow(sigma, 4));
    cout << "Gama 2: " << gama2 << endl;
}

void PrintTable()
{
    cout << "Printing the table" << endl;
    cout << "X ";
    int flagFChar = 1;
    auto testNum = input[0][0];
    float testNumFloat = float(input[0][0]);
    int flagFloat = 0;
    if (testNumFloat == testNum)
    {
        flagFloat = 1;
        //cout << "The number is float" << endl;
    }
    for (int i = 0; i < rows; i++)
    {
        for (int j = 0; j < columns; j++)
        {
            if (flagFloat && i == 1)
            {
                cout << input[i][j] << "   ";

            }
            else
            {
                cout << input[i][j] << " ";

            }
        }
        cout << endl;
        if (flagFChar)
            cout << "F ";
        flagFChar = 0;
    }
}

void Gamma1S()
{
    float rightSide = 6 * (sumOfElements - 1) / ((sumOfElements + 1) * (sumOfElements + 3));
    rightSide = sqrt(rightSide);
    rightSide = rightSide * 3;
    cout << "The gamma1's right side is: " << rightSide << endl;

    if (gama1 < rightSide)
    {
        cout << "Pyrvoto uslovie  e izpylneno gamma1s <= " << rightSide << endl;
    }
    else
    {
        cout << "Pyrvoto uslovie ne e izpylneno" << gama1 << ">= " << rightSide << endl;
    }

}
void Gamma2S()
{
    float rightSide = 24 * sumOfElements * (sumOfElements - 2) * (sumOfElements - 3) /
        (pow((sumOfElements + 1), 2) * (sumOfElements + 3) * (sumOfElements + 5));
    rightSide = sqrt(rightSide);
    rightSide = rightSide * 3;
    rightSide += 3;

    cout << "The gamma2's right side is: " << rightSide << endl;

    if (gama2 < rightSide)
    {
        cout << "Vtoroto uslovie  e izpylneno gamma2s <= " << rightSide << endl;
    }
    else
    {
        cout << "Vtoroto uslovie ne e izpylneno" << gama2 << ">= " << rightSide << endl;
    }

}

void SigmaS()
{
    for (int i = 0; i <= columns; i++)
    {
        sigmaS += pow(input[0][i] - average, 2);
    }
    sigmaS /= sumOfElements;
    cout << "SigmaS is: " << sigmaS << endl;
}

void garancionnaVeroqtnost()
{
    cout << " v garancionna veroqnost miu " << miu << endl;
    float probability = 0;
    float nx = 0;
    float n0 = 0;
    cout << endl;

#ifdef garancionnaOcenka68
    probability = p68 * miu;
    cout << "Garancionna veroqtnost 68% delta tu: " <<
        probability << endl;
    cout << "Intervalna ocenka: "
        << average << "-" << probability << " = Xs - delta <= X <= Xs + delta = "
        << average << "+" << probability << endl;
    cout << "-> " << average - probability << " <= X <= " << average + probability << endl;
#ifdef dopustimaGreshka
    nx = (pow(p68, 2) * pow(sigma, 2));
    float underTheLine = pow(p95, 2) * pow(sigma, 2);
    underTheLine /= overAllSum;
    underTheLine = underTheLine + pow(dopustimaGreshka, 2);
    nx = nx / underTheLine;

    cout << "Nx = " << nx << endl;

    n0 = pow(p68, 2) * pow(sigma, 2);
    n0 /= probability;
    cout << "N0 = " << n0 << endl;

#endif
#endif
#ifdef garancionnaOcenka95
    probability = p95 * miu;
    cout << "Garancionna veroqtnost 95% delta tu: " <<
        probability << endl;
    cout << "Intervalna ocenka: "
        << average << "-" << probability << " = Xs - delta <= X <= Xs + delta = "
        << average << "+" << probability << endl;
    cout << "-> " << average - probability << " <= X <= " << average + probability << endl;

#ifdef dopustimaGreshka
    nx = (pow(p95, 2) * pow(sigma, 2));
    float underTheLine = pow(p95, 2) * pow(sigma, 2);
    underTheLine /= overAllSum;
    underTheLine = underTheLine + pow(dopustimaGreshka, 2);
    nx = nx / underTheLine;

    cout << "Nx = " << nx << endl;


    n0 = pow(p95, 2) * pow(sigma, 2);
    n0 /= probability;
    cout << "N0 = " << n0 << endl;


#endif
#endif

#ifdef garancionnaOcenka99
    probability = p99 * miu;
    cout << "Garancionna veroqtnost 99% delta tu: " <<
        probability << endl;
    cout << "Intervalna ocenka: "
        << average << "-" << probability << " = Xs - delta <= X <= Xs + delta = "
        << average << "+" << probability << endl;
    cout << "-> " << average - probability << " <= X <= " << average + probability << endl;
#ifdef dopustimaGreshka
    nx = (pow(p99, 2) * pow(sigma, 2));
    float underTheLine = pow(p95, 2) * pow(sigma, 2);
    underTheLine /= overAllSum;
    underTheLine = underTheLine + pow(dopustimaGreshka, 2);
    nx = nx / underTheLine;



    cout << "Nx = " << nx << endl;

    n0 = pow(p99, 2) * pow(dopustimaGreshka, 2);
    n0 /= pow(probability, 2);
    cout << "N0 = " << n0 << endl;

#endif
#endif
}
void MiuKratko()
{
#ifdef sigmaSstandartnoOtklonenie
    miu = sigmaSstandartnoOtklonenie / sqrt(sumOfElements);
    cout << "kratko miu u = " << miu << endl;
#endif

}
void Miu()
{
#ifdef sigmaSstandartnoOtklonenie
    MiuKratko();
    return;
#endif
    float tempSigma = sigma;
    float overAllSumTemp = overAllSum;

    if (tempSigma == 0)
    {
        cout << "Sigma e neizvestno, zamenq se sus sigmaS" << endl;
        tempSigma = sigmaS;
    }
    if (overAllSumTemp == 0)
    {
        cout << "N e neizvestno, zamenq se s mu = sigma/sqrt(n)" << endl;
        overAllSumTemp = sigma / (sqrt(sumOfElements));
    }


    miu = (tempSigma / sqrt(sumOfElements));
    miu *= sqrt(1 - (sumOfElements / overAllSumTemp));

    cout << "u = " << miu << endl;




}


int main()
{


    //x = 2 * 5 + 3 * 3 + 4 * 7 + 5 * 0 + 6 * 2;
    //x = x / 17;
    /*input[0][0] = 2;
    input[0][1] = 3;
    input[0][2] = 4;
    input[0][3] = 5;
    input[0][4] = 6;

    input[1][0] = 5;
    input[1][1] = 3;
    input[1][2] = 7;
    input[1][3] = 3;
    input[1][4] = 2;*/

    /*input[0][0] = 7.7;
    input[0][1] = 8.1;
    input[0][2] = 8.5;
    input[0][3] = 9.4;
    input[0][4] = 9.6;
    input[0][5] = 10.2;

    input[1][0] = 3;
    input[1][1] = 4;
    input[1][2] = 4;
    input[1][3] = 3;
    input[1][4] = 4;
    input[1][5] = 2;*/

    input[0][0] = 2;
    input[0][1] = 3;
    input[0][2] = 4;
    input[0][3] = 5;
    input[0][4] = 6;

    input[1][0] = 5;
    input[1][1] = 3;
    input[1][2] = 7;
    input[1][3] = 0;
    input[1][4] = 2;

    PrintTable();
    Average();
    DispersionAndSigma();
    Gamma1();
    Gamma2();
    Gamma1S();
    Gamma2S();
    SigmaS();
    Miu();
    garancionnaVeroqtnost();




}