function degree = dunavant_degree ( rule ) %% DUNAVANT_DEGREE returns the degree of a Dunavant rule for the triangle. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 11 December 2006 % % Author: % % John Burkardt % % Reference: % % David Dunavant, % High Degree Efficient Symmetrical Gaussian Quadrature Rules % for the Triangle, % International Journal for Numerical Methods in Engineering, % Volume 21, 1985, pages 1129-1148. % % James Lyness, Dennis Jespersen, % Moderate Degree Symmetric Quadrature Rules for the Triangle, % Journal of the Institute of Mathematics and its Applications, % Volume 15, Number 1, February 1975, pages 19-32. % % Parameters: % % Input, integer RULE, the index of the rule. % % Output, integer DEGREE, the polynomial degree of exactness of % the rule. % if ( 1 <= rule & rule <= 20 ) degree = rule; else degree = -1; fprintf ( 1, '\n' ); fprintf ( 1, 'DUNAVANT_DEGREE - Fatal error!\n' ); fprintf ( 1, ' Illegal RULE = %d\n', rule ); error ( 'DUNAVANT_DEGREE - Fatal error!' ) end