//
// Created by jholder on 22.10.21.
//

#include <catch2/catch.hpp>
#include "Simulation.h"

TEST_CASE("Simulation") {
    auto sim = Simulation(1,0);
    REQUIRE(sim.getSTD()==sqrt(1*2.0));
    SECTION("Symmetrie"){
        constexpr int num = 10000000;
        double sum = 0.0;
        for (int i = 0; i < num; ++i) {
            sum += sim.getNorm(1);
        }
        CHECK(sum/num == Catch::Detail::Approx(0.0).margin(0.001));
    }
    SECTION("STD"){
        constexpr int num = 10000000;
        double sum = 0.0;
        for (int i = 0; i < num; ++i) {
            sum += pow(sim.getNorm(1),2);
        }
        CHECK(sum/num == Catch::Detail::Approx(1.0).margin(0.001));
    }
}