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#include <catch.hpp>
#include <random>
#include <Eigen/Dense>
#include "sopt/bisection_method.h"
#include "sopt/types.h"
typedef sopt::t_real Scalar;
typedef sopt::Vector<Scalar> t_Vector;
typedef sopt::Matrix<Scalar> t_Matrix;
const Scalar a = -0.5;
const Scalar b = 1.;
const Scalar tol = 1e-4;
TEST_CASE("Bisection x^3") {
using namespace sopt;
sopt::logging::set_level("debug");
std::function<Scalar(Scalar)> const func = [](const Scalar &x) -> Scalar { return x * x * x; };
const Scalar x0 = 0;
const Scalar x0_est = bisection_method(func(x0), func, a, b, tol);
CHECK(std::abs(x0_est - x0) <= tol);
}
TEST_CASE("Bisection f(x) = x") {
using namespace sopt;
std::function<Scalar(Scalar)> const func = [](const Scalar &x) -> Scalar { return x; };
const Scalar x0 = 0.23235104239409;
const Scalar x0_est = bisection_method(func(x0), func, a, b, tol);
CHECK(std::abs(x0_est - x0) <= tol);
}
TEST_CASE("Bisection exp()") {
using namespace sopt;
std::function<Scalar(Scalar)> const func = [](const Scalar &x) -> Scalar { return std::exp(-x); };
const Scalar x0 = 1;
const Scalar x0_est = bisection_method(func(x0), func, a, b, tol);
CHECK(std::abs(x0_est - x0) <= tol);
}
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