function trig_unit_monomial_test ( degree_max ) %*****************************************************************************80 % %% TRIG_UNIT_MONOMIAL_TEST tests TRIG_UNIT_MONOMIAL. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 16 April 2009 % % Author: % % John Burkardt % % Parameters: % % Input, integer DEGREE_MAX, the maximum total degree of the % monomials to check. % fprintf ( 1, '\n' ); fprintf ( 1, 'TRIG_UNIT_MONOMIAL_TEST\n' ); fprintf ( 1, ' For the unit triangle,\n' ); fprintf ( 1, ' TRIG_UNIT_MONOMIAL returns the exact value of the\n' ); fprintf ( 1, ' integral of X^ALPHA Y^BETA\n' ); fprintf ( 1, '\n' ); fprintf ( 1, ' Volume = %f\n', trig_unit_volume ( ) ); fprintf ( 1, '\n' ); fprintf ( 1, ' ALPHA BETA INTEGRAL\n' ); fprintf ( 1, '\n' ); for alpha = 0 : degree_max expon(1) = alpha; for beta = 0 : degree_max - alpha expon(2) = beta; value = trig_unit_monomial ( expon ); fprintf ( 1, ' %8d %8d %14.6e\n', expon(1:2), value ); end end return end