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#include "lizfcm.test.h"
double f(double x) { return x * x; }
double f_prime(double x) { return 2 * x; }
double H = 0.0001;
double ACCEPTED_DERIVATIVE_ERROR = 0.0001;
UTEST(derivative, central) {
double a = 3.0;
double expected = f_prime(a);
double f_prime_x = central_derivative_at(&f, a, H);
EXPECT_NEAR(expected, f_prime_x, ACCEPTED_DERIVATIVE_ERROR);
}
UTEST(derivative, forward) {
double a = 3.0;
double expected = f_prime(a);
double f_prime_x = forward_derivative_at(&f, a, H);
EXPECT_NEAR(expected, f_prime_x, ACCEPTED_DERIVATIVE_ERROR);
}
UTEST(derivative, backward) {
double a = 3.0;
double expected = f_prime(a);
double f_prime_x = backward_derivative_at(&f, a, H);
EXPECT_NEAR(expected, f_prime_x, ACCEPTED_DERIVATIVE_ERROR);
}
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