hi
I would go with C++ definitely. If you are careful about your design and avoid creating heavy objects inside hotspots you should not see any performance difference but the code is going to be much simpler to understand, maintain, and expand.
Use templates and classes judiciously. avoid unnecessary object creation by passing objects by reference. Avoid excessive memory allocation, if needed, allocate memory in advance of hotspots. Use restrict keyword on memory pointers to tell compiler whenever pointers overlap or not.
As far as optimization, pay careful attention to memory alignment. Assuming you are working on Intel processor, you can make use of vector instructions, provided you tell the compiler through pragma's about your memory alignment and aliased pointers. you can also use vector instructions directly via intrinsics.
you can also automatically create hotspot code using templates and let compiler optimize it out if you have things like short loops of different sizes. To find out performance and to drill down to your bottlenecks, Intel vtune or oprofile are extremely helpful.
hope that helps