function value = monomial_value ( dim_num, point_num, x, expon ) %*****************************************************************************80 % %% MONOMIAL_VALUE evaluates a monomial. % % Discussion: % % This routine evaluates a monomial of the form % % product ( 1 <= dim <= dim_num ) x(dim)^expon(dim) % % where the exponents are nonnegative integers. Note that % if the combination 0^0 is encountered, it should be treated % as 1. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 05 May 2007 % % Author: % % John Burkardt % % Parameters: % % Input, integer DIM_NUM, the spatial dimension. % % Input, integer POINT_NUM, the number of points at which the % monomial is to be evaluated. % % Input, real X(DIM_NUM,POINT_NUM), the point coordinates. % % Input, integer EXPON(DIM_NUM), the exponents. % % Output, real VALUE(POINT_NUM), the value of the monomial. % value(1:point_num) = 1.0; for dim = 1 : dim_num if ( 0 ~= expon(dim) ) value(1:point_num) = value(1:point_num) .* x(dim,1:point_num).^expon(dim); end end return end