hermite_cubic_test

hermite_cubic_test, an Octave code which calls hermite_cubic(), which demonstrates the use of cubic polynomials in the Hermite form.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Related Data and Programs:

hermite_cubic, an Octave code which can compute the value, derivatives or integral of a hermite cubic polynomial, or manipulate an interpolating function made up of piecewise Hermite cubic polynomials.

Source Code:

• hermite_cubic_test.m, calls all the tests;
• hermite_cubic_test.sh, runs all the tests;
• hermite_cubic_test.txt, the output file.

• hermite_cubic_test01.m, tests HERMITE_CUBIC_VALUE;
• hermite_cubic_test02.m, tests HERMITE_CUBIC_VALUE;
• hermite_cubic_test03.m, tests HERMITE_CUBIC_INTEGRATE;
• hermite_cubic_test04.m, tests HERMITE_CUBIC_SPLINE_VALUE;
• hermite_cubic_test05.m, tests HERMITE_CUBIC_TO_POWER_CUBIC;
• hermite_cubic_test06.m, tests HERMITE_CUBIC_INTEGRATE using vectors;
• hermite_cubic_test07.m, tests HERMITE_CUBIC_INTEGRAL;
• hermite_cubic_test08.m, tests HERMITE_CUBIC_SPLINE_INTEGRAL;
• hermite_cubic_test09.m, tests HERMITE_CUBIC_SPLINE_INTEGRATE;
• hermite_cubic_test10.m, tests HERMITE_CUBIC_SPLINE_INTEGRAL, demonstrating that for equally spaced data, the derivative values D(2:N-1) have no effect on the computed integral estimate at all.
• hermite_cubic_test11.m, tests HERMITE_CUBIC_LAGRANGE_VALUE, which evaluates the four Lagrange basis functions associated with a Hermite cubic polynomial.
• hermite_cubic_test12.m, tests HERMITE_CUBIC_LAGRANGE_INTEGRAL, which returns the integrals of the four Lagrange basis functions associated with a Hermite cubic polynomial over the definition interval [X1,X2].
• hermite_cubic_test13.m, tests HERMITE_CUBIC_LAGRANGE_INTEGRATE;
• hermite_cubic_test14.m, tests HERMITE_CUBIC_SPLINE_QUAD_RULE;
• hermite_cubic_test15.m, tests HERMITE_CUBIC_SPLINE_QUAD_RULE;
• cubic_value.m, returns the value and derivatives of a particular cubic polynomial.
• cubic_integrate.m, returns the integral of a particular cubic polynomial from A to B.
• cubic_antiderivative.m, evaluates the antiderivative function of a particular cubic polynomial.