#include <iostream>
#include <time.h>
using namespace std;

void zadanie1() {
	int zad1_tab[4] = { 0, 0, 0, 0 };
	float probabilities[] = { 0.1, 0.2, 0.4, 0.3 };
	float dystrybuanta[4] = { 0 };
	for (int i = 0; i < 4; i++) {
		for (int j = 0; j <= i; j++) {
			dystrybuanta[i] += probabilities[j];
		}
	}
	for (auto __i = 0; __i < 100000; __i++) {
		float random = (double)rand() / (double)RAND_MAX;
		for (auto __j = 0; __j < 4; __j++) {
			if (random < dystrybuanta[__j]) {
				zad1_tab[__j]++;
				break;
			}
		}
	}
	cout << "Zadanie 1" << endl;
	for (auto __j = 0;  __j < 4; __j++) {
		cout << __j+1 << ": " << zad1_tab[__j] << endl;
	}
}

float funkcja(float y) {
	/*
	F(x) = ax+b
	F(50) = 0
	F(150) = 1
	50a+b = 0
	150a+b = 1
	150a +3b = 0
	150a + b = 1
	2b = -1 => b = -1/2 => 50a = 1/2 => a = 1/100
	y = 1/100 * x - 1/2
	y + 1/2 =x/100
	x = 100(y+1/2) = 100y + 50
	*/
	return 100 * y + 50;
}

void zadanie2() {
	int zad2_tab[10] = { 0 };
	int granice[] = { 60,70,80,90,100,110,120,130,140,150 };
	for (auto __it = 0; __it < 100000; __it++) {
		float random = (double)rand() / (double)RAND_MAX;
		float x = funkcja(random);
		for (int __j = 0; __j < 10; __j++) {
			if (x < granice[__j]) {
				zad2_tab[__j]++;
				break;
			}
		}
	}
	cout << "Zadanie 2" << endl;
	for (auto __j = 0; __j < 10; __j++) {
		cout << __j + 1 << ": " << zad2_tab[__j] << endl;
	}

}

float f(float x) {
	return 0.0002*x - 0.01;
}

void zadanie3() {
	/*
	a = 100
	P = 1
	P = ah/2 => h = 2P/a => h = 2*1/100=2/100=1/50
	*/
	float fmax = 0.02;
	float d = fmax + fmax * 0.01;
	int success = 0;
	int zad3_tab[10] = { 0 };
	int granice[] = { 60,70,80,90,100,110,120,130,140,150 };
	while (success != 100000) {
		float y = d * ((double)rand() / (double)RAND_MAX);
		float x = ((double)rand() / (double)RAND_MAX) * 100 + 50;
		if (f(x) > y) {
			success++;
			for (int __j = 0; __j < 10; __j++) {
				if (x < granice[__j]) {
					zad3_tab[__j]++;
					break;
				}
			}
		}
	}
	cout << "Zadanie 3" << endl;
	for (auto __j = 0; __j < 10; __j++) {
		cout << __j + 1 << ": " << zad3_tab[__j] << endl;
	}
}

int main()
{
	srand(time(NULL));
	zadanie1();
	zadanie2();
	zadanie3();
	system("pause");
	return 0;
}