function w = composite_weights ( order ) %*****************************************************************************80 % %% COMPOSITE_WEIGHTS computes weights for a composite midpoint rule. % % Discussion: % % Right now, our composite rule is assumed to be a composition of % 1 point rules, applied to the interval [-1,1], with equal spacing. % % Except for the rule of order 1, the endpoints are included % as abscissas. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 11 August 2009 % % Author: % % John Burkardt % % Parameters: % % Input, integer ORDER, the order of the rule. % % Output, real W(ORDER), the weights of the rule. % a = -1.0; b = +1.0; if ( order == 1 ) w(1) = b - a; else w(1) = ( b - a ) / ( order - 1 ) / 2.0; w(2:order-1) = ( b - a ) / ( order - 1 ); w(order) = ( b - a ) / ( order - 1 ) / 2.0; end return end