# include # include # include # include # include "annulus_monte_carlo.h" /******************************************************************************/ double *monomial_value ( int m, int n, int e[], double x[] ) /******************************************************************************/ /* Purpose: monomial_value() evaluates a monomial. Discussion: This routine evaluates a monomial of the form product ( 1 <= i <= m ) x(i)^e(i) 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: 08 May 2014 Author: John Burkardt Parameters: Input, int M, the spatial dimension. Input, int N, the number of points at which the monomial is to be evaluated. Input, int E[M], the exponents. Input, double X[M*N], the point coordinates. Output, double MONOMIAL_VALUE[N], the value of the monomial. */ { int i; int j; double *v; v = ( double * ) malloc ( n * sizeof ( double ) ); for ( j = 0; j < n; j++ ) { v[j] = 1.0; } for ( i = 0; i < m; i++ ) { if ( 0 != e[i] ) { for ( j = 0; j < n; j++ ) { v[j] = v[j] * pow ( x[i+j*m], e[i] ); } } } return v; }