unsaturated

ncp_functions.cpp
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			#include "catch.hpp"

			#include "micpsolver/ncp_function.hpp"

			using specmicp::micpsolver::fisher_burmeister;
			using specmicp::micpsolver::penalized_fisher_burmeister;

			TEST_CASE("NCP functions") {
			SECTION("fisher Burmeister") {
			CHECK(fisher_burmeister(0.0, 0.0) == 0.0);
			CHECK(fisher_burmeister(0.0, 1.0) == 0.0);
			CHECK(fisher_burmeister(0.0, 3.4) == 0.0);
			CHECK(std::abs(fisher_burmeister(1.0, 1.0)-std::sqrt(2)+2) == Approx(0.0));
			CHECK(std::abs(fisher_burmeister(2.0, 1.0)-std::sqrt(5)+3) == Approx(0.0));
			}

			SECTION("Penalized Fischer Burmeister") {
			CHECK(penalized_fisher_burmeister(0.0, 0.0, 0.5) == 0.0);
			CHECK(penalized_fisher_burmeister(0.0, 1.0, 0.3) == 0.0);
			CHECK(penalized_fisher_burmeister(0.0, 3.4, 0.5) == 0.0);
			CHECK(penalized_fisher_burmeister(8.4, 0.0, 0.2) == 0.0);
			CHECK(std::abs(fisher_burmeister(1.0, 1.0)-penalized_fisher_burmeister(1.0, 1.0, 1.0)) == Approx(0.0));
			CHECK(std::abs(penalized_fisher_burmeister(2.0, 1.0, 0.5)-0.5(std::sqrt(5)-3)+0.52.0) == Approx(0.0));
			}
			}