#include <gtest/gtest.h>
#include "modules/Elliptic_integrals.cpp"
#include <cmath>

class Elliptic_IntegralsTest : public testing::Test{};

TEST_F(Elliptic_IntegralsTest, Elliptic_0_0)
{
    std::vector<double> res = Elliptic(0, 0);
    EXPECT_DOUBLE_EQ(res[0], 0) << "F(0, 0)";
    EXPECT_DOUBLE_EQ(res[1], 0) << "E(0, 0)";
}

TEST_F(Elliptic_IntegralsTest, Elliptic_90_0)
{
    std::vector<double> res = Elliptic(90, 0);
    EXPECT_DOUBLE_EQ(res[0], M_PI / 2) << "F(90, 0)";
    EXPECT_DOUBLE_EQ(res[1], M_PI / 2)<< "E(90, 0)";
}

TEST_F(Elliptic_IntegralsTest, Elliptic_0_1)
{
    std::vector<double> res = Elliptic(0, 1);
    EXPECT_DOUBLE_EQ(res[0], 0) << "F(0, 1)";
    EXPECT_DOUBLE_EQ(res[1], 0) << "E(0, 1)";
}

TEST_F(Elliptic_IntegralsTest, Elliptic_90_1)
{
    std::vector<double> res = Elliptic(90, 1);
    EXPECT_DOUBLE_EQ(res[0], std::numeric_limits<double>::infinity()) << "F(90, 1)";
    EXPECT_DOUBLE_EQ(res[1], 1)<< "E(90, 1)";
}

TEST_F(Elliptic_IntegralsTest, Elliptic_Throw) 
{
    std::vector<double> result = Elliptic(50, 2); 

    EXPECT_EQ(result.size(), 0); // if k > 1 or k < - 1 vector of Elliptic(phi, k) should be empty
}


int main(int argc, char **argv) 
{
  testing::InitGoogleTest(&argc, argv);
  return RUN_ALL_TESTS();
}