Sparse matrix operations on CUDA

Question

I work on converting a large Matlab code to C++ and CUDA. I have problems converting some sparse matrix operations like:

1. full_Matrix    *  sparse_Matrix
2. sparse_Matrix  *  full_Matrix
3. sparse_Matrix  *  sparse_Matrix    (SOLVED WITH CUSP)
4. full_Matrix   .*  sparse_Matrix    (elementwise multiplication)
5. sparse_Matrix  *  full_Matrix      (elementwise multiplication)
6. sparse_Matrix .*  sparse_Matrix    (elementwise multiplication)

I was able to solve 2 using CUSPARSE and 3 using CUSP, however I wasn't able to use CUSP (or CUSPARSE) for elementwise matrix multiplication or for problem 1.

I'm interested if there is a CUDA library that implements all the above operations (preferably an open source one).