function precision = lyness_precision ( rule ) %*****************************************************************************80 % %% LYNESS_PRECISION returns the precision of a Lyness quadrature rule. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 30 September 2010 % % Author: % % John Burkardt % % Reference: % % 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 PRECISION, the precision of the rule. % if ( rule == 0 ) precision = 1; elseif ( rule == 1 ) precision = 2; elseif ( rule == 2 ) precision = 2; elseif ( rule == 3 ) precision = 3; elseif ( rule == 4 ) precision = 3; elseif ( rule == 5 ) precision = 4; elseif ( rule == 6 ) precision = 4; elseif ( rule == 7 ) precision = 4; elseif ( rule == 8 ) precision = 5; elseif ( rule == 9 ) precision = 5; elseif ( rule == 10 ) precision = 6; elseif ( rule == 11 ) precision = 6; elseif ( rule == 12 ) precision = 6; elseif ( rule == 13 ) precision = 7; elseif ( rule == 14 ) precision = 7; elseif ( rule == 15 ) precision = 8; elseif ( rule == 16 ) precision = 8; elseif ( rule == 17 ) precision = 8; elseif ( rule == 18 ) precision = 9; elseif ( rule == 19 ) precision = 9; elseif ( rule == 20 ) precision = 11; elseif ( rule == 21 ) precision = 11; else fprintf ( 1, '\n' ); fprintf ( 1, 'LYNESS_PRECISION - Fatal error!\n' ); fprintf ( 1, ' Unrecognized rule index.\n' ); error ( 'LYNESS_PRECISION - Fatal error!' ); end return end