function [ o, x, w ] = cn_jac_01_1 ( n, alpha, beta ) %*****************************************************************************80 % %% CN_JAC_01_1 implements a precision 1 rule for region CN_JAC. % % Discussion: % % The rule has order O = 1. % % The rule has precision P = 1. % % CN is the cube [-1,+1]^N with the Jacobi (beta) weight function % % w(alpha,beta;x) = product ( 1 <= i <= n ) (1-x(i))^beta (1+x(i))^alpha. % % with -1 < alpha, -1 < beta. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 27 January 2010 % % Author: % % John Burkardt % % Parameters: % % Input, integer N, the spatial dimension. % % Input, real ALPHA, BETA, the parameters. % -1.0 < ALPHA, -1.0 < BETA. % % Output, integer O, the order. % % Output, real X(N,O), the abscissas. % % Output, real W(O), the weights. % if ( alpha <= -1.0 ) fprintf ( 1, '\n' ); fprintf ( 1, 'CN_JAC_01_1 - Fatal error!\n' ); fprintf ( 1, ' ALPHA <= -1.0\n' ); error ( 'CN_JAC_01_1 - Fatal error!' ); end if ( beta <= -1.0 ) fprintf ( 1, '\n' ); fprintf ( 1, 'CN_JAC_01_1 - Fatal error!\n' ); fprintf ( 1, ' BETA <= -1.0\n' ); error ( 'CN_JAC_01_1 - Fatal error!' ); end o = 1; expon = 0; value1 = c1_jac_monomial_integral ( alpha, beta, expon ); volume = value1 ^ n; expon = 1; value2 = c1_jac_monomial_integral ( alpha, beta, expon ); x = zeros ( n, o ); w = zeros ( o, 1 ); k = 0; % % 1 point. % k = k + 1; x(1:n,k) = value2 / value1; w(k) = volume; return end