bisection_method.cc File Reference

#include <catch2/catch_all.hpp>
#include <random>
#include <Eigen/Dense>
#include "sopt/bisection_method.h"
#include "sopt/types.h"

Include dependency graph for bisection_method.cc:

Go to the source code of this file.

Typedefs
using	Scalar = sopt::t_real
using	t_Vector = sopt::Vector< Scalar >
using	t_Matrix = sopt::Matrix< Scalar >

Functions
	TEST_CASE ("Bisection x^3")
	TEST_CASE ("Bisection f(x) = x")
	TEST_CASE ("Bisection exp()")

Variables
constexpr Scalar	a = -0.5
constexpr Scalar	b = 1.
constexpr Scalar	tol = 1e-4

Typedef Documentation

Scalar

using Scalar = sopt::t_real

Definition at line 9 of file bisection_method.cc.

t_Matrix

using t_Matrix = sopt::Matrix<Scalar>

Definition at line 11 of file bisection_method.cc.

t_Vector

using t_Vector = sopt::Vector<Scalar>

Definition at line 10 of file bisection_method.cc.

Function Documentation

TEST_CASE() [1/3]

TEST_CASE

(

"Bisection exp()"

)

Definition at line 31 of file bisection_method.cc.

                             {
  using namespace sopt;
  std::function<Scalar(Scalar)> const func = [](const Scalar &x) -> Scalar { return std::exp(-x); };
  constexpr Scalar x0 = 1;
  const Scalar x0_est = bisection_method(func(x0), func, a, b, tol);
  CHECK(std::abs(x0_est - x0) <= tol);
}

References a, b, sopt::bisection_method(), and tol.

TEST_CASE() [2/3]

TEST_CASE

(

)

Definition at line 24 of file bisection_method.cc.

                                {
  using namespace sopt;
  std::function<Scalar(Scalar)> const func = [](const Scalar &x) -> Scalar { return x; };
  constexpr Scalar x0 = 0.23235104239409;
  const Scalar x0_est = bisection_method(func(x0), func, a, b, tol);
  CHECK(std::abs(x0_est - x0) <= tol);
}

References a, b, sopt::bisection_method(), and tol.

TEST_CASE() [3/3]

TEST_CASE

(

"Bisection x^3"

)

Definition at line 16 of file bisection_method.cc.

                           {
  using namespace sopt;
  sopt::logging::set_level("debug");
  std::function<Scalar(Scalar)> const func = [](const Scalar &x) -> Scalar { return x * x * x; };
  constexpr Scalar x0 = 0;
  const Scalar x0_est = bisection_method(func(x0), func, a, b, tol);
  CHECK(std::abs(x0_est - x0) <= tol);
}

References a, b, sopt::bisection_method(), sopt::logging::set_level(), and tol.

Variable Documentation

a

constexpr Scalar a = -0.5

constexpr

Definition at line 13 of file bisection_method.cc.

Referenced by sopt::bisection_method(), sopt::details::gcd(), sopt::linear_transform(), sopt::wavelets::SARA::max_levels(), sopt::algorithm::SDMM< SCALAR >::operator()(), and TEST_CASE().

b

constexpr Scalar b = 1.

constexpr

Definition at line 14 of file bisection_method.cc.

Referenced by sopt::bisection_method(), sopt::credible_region::find_credible_interval(), function_cg(), sopt::details::gcd(), sopt::linear_transform(), main(), matrix_cg(), sopt::wavelets::SARA::max_levels(), sopt::ConjugateGradient::operator()(), and TEST_CASE().

tol

constexpr Scalar tol = 1e-4

constexpr

Definition at line 15 of file bisection_method.cc.

Referenced by TEST_CASE(), and sopt::proximal::L1< SCALAR >::Breaker::tolerance().