function precision = precision_table ( rule ) %*****************************************************************************80 % %% PRECISION_TABLE returns the precision of a Lebedev rule. % % Modified: % % 15 September 2010 % % Author: % % John Burkardt % % Reference: % % Vyacheslav Lebedev, Dmitri Laikov, % A quadrature formula for the sphere of the 131st % algebraic order of accuracy, % Russian Academy of Sciences Doklady Mathematics, % Volume 59, Number 3, 1999, pages 477-481. % % Parameters: % % Input, integer RULE, the index of the rule, between 1 and 65. % % Output, integer PRECISION, the precision of the rule. % rule_max = 65; table = [ ... 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, ... 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, ... 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, ... 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, ... 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, ... 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, ... 123, 125, 127, 129, 131 ]'; if ( rule < 1 ) fprintf ( 1, '\n' ); fprintf ( 1, 'PRECISION_TABLE - Fatal error!\n' ); fprintf ( 1, ' RULE < 1.\n' ); error ( 'PRECISION_TABLE - Fatal error!' ); elseif ( rule_max < rule ) fprintf ( 1, '\n' ); fprintf ( 1, 'PRECISION_TABLE - Fatal error!\n' ); fprintf ( 1, ' RULE_MAX < RULE.\n' ); error ( 'PRECISION_TABLE - Fatal error!' ); end precision = table(rule); return end