Mercurial > repos > public > sbplib
diff mononomial.m @ 770:0090a86d8b72 feature/grids
Improve mononomial and vandermonde functions to work in multiple dimension and adapt to sym or double inputs
author | Jonatan Werpers <jonatan@werpers.com> |
---|---|
date | Wed, 27 Jun 2018 11:10:52 +0200 |
parents | 184833fe4c0e |
children |
line wrap: on
line diff
--- a/mononomial.m Tue Jun 26 16:59:03 2018 +0200 +++ b/mononomial.m Wed Jun 27 11:10:52 2018 +0200 @@ -1,8 +1,17 @@ -function y = mononomial(x, k) - if k < 0 - y = x*0; +% calculate a N-D mononomial with powers k in points x: +% z = x(:,1).^k(1) * x(:,2).^k(2) * ... +function z = mononomial(x, k) + assert(size(x,2) == length(k), 'k must have the same length as the width of x'); + + if any(k < 0) + z = x(:,1)*0; return end - y = x.^k/factorial(k); + + denom = prod(factorial(k)); + + for i = 1:length(k) + x(:,i) = x(:,i).^k(i); + end + z = prod(x,2)/denom; end -