Can I Save and load process?

Can I Save and load process?

I have a math calculation C code which is running on the embedded system.
It calculates output using many inputs (about 4,000) and many intermediate
variables.
To simulate my code I'd like to migrate my code to the Windows system.
And I'm going to make a new function which can save and load specific points.
The first solution that I know is tracking all variables and add new
save/load function.
But it has much of variables and I thinks this solution is not efficient.
The second solution I think is save/load process's heap/stack memory.
It seems more easy if I can save/load heap and stack memory.
Do you think is it possible?
And if possible how can I do that?
Thanks in advance.