Copy a single element state into a larger array and pad it with zeroes.
The additional modes might be necessary for proper dealing with nonlinear operations. Please note, that the oversampled representation is always a QSpace polynomial.
Type  Intent  Optional  Attributes  Name  

real(kind=rk),  intent(in)  ::  state(:,:)  State in a single element, to be oversampled. 

type(ply_poly_project_type),  intent(in)  ::  poly_proj  Description of the projection method. 

integer,  intent(in)  ::  nDim  The number of dimensions to determine the correct oversampling routine. 

real(kind=rk),  intent(inout)  ::  modalCoeffs(:,:)  Oversampled array for modal coefficients from state. These are always QPolynomial representations, as projections only work with those. 

integer,  intent(in),  optional  ::  nScalars  The number of scalar variables to convert. If nScalars is not passed to this subroutine, all variables of argument state will be considered by this routine. 

logical,  intent(in),  optional  ::  ensure_positivity(:)  Only use modes up to the point, where we are sure that the resulting polynomial will be positive everywhere. This is an array of logicals for each variable, if not given, the default is false (no positivity ensured). 