TEST(CentralDifference, Hessian){ // simple function y <- 3*a^2-a*b class Func : public Problem<double> { public: double value(const Vector<double> &x) { return 3*x[0]*x[0]-x[1]*x[0]; } }; Vector<double> x0(2); x0(0) = 0; x0(1) = 0; Func f; Matrix<double> hessian(2,2); // check using fast version f.finiteHessian(x0, hessian); EXPECT_NEAR(hessian(0,0), 6, PRECISION); EXPECT_NEAR(hessian(1,0), -1, PRECISION); EXPECT_NEAR(hessian(0,1), -1, PRECISION); EXPECT_NEAR(hessian(1,1), 0, PRECISION); // check using slow version f.finiteHessian(x0, hessian,3); EXPECT_NEAR(hessian(0,0), 6, PRECISION); EXPECT_NEAR(hessian(1,0), -1, PRECISION); EXPECT_NEAR(hessian(0,1), -1, PRECISION); EXPECT_NEAR(hessian(1,1), 0, PRECISION); }
TYPED_TEST(CentralDifference, Hessian){ // simple function y <- 3*a^2-a*b class Func : public Problem<TypeParam, 2> { public: using typename Problem<TypeParam, 2>::TVector; TypeParam value(const TVector &x) { return 3*x[0]*x[0]-x[1]*x[0]; } }; typename Func::TVector x0; x0(0) = 0; x0(1) = 0; Func f; typename Func::THessian hessian; // check using fast version f.finiteHessian(x0, hessian); EXPECT_NEAR(hessian(0,0), 6, PRECISION); EXPECT_NEAR(hessian(1,0), -1, PRECISION); EXPECT_NEAR(hessian(0,1), -1, PRECISION); EXPECT_NEAR(hessian(1,1), 0, PRECISION); // check using slow version f.finiteHessian(x0, hessian,3); EXPECT_NEAR(hessian(0,0), 6, PRECISION); EXPECT_NEAR(hessian(1,0), -1, PRECISION); EXPECT_NEAR(hessian(0,1), -1, PRECISION); EXPECT_NEAR(hessian(1,1), 0, PRECISION); }