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Question: looking for the fastest complex number arithmetics...

Question:looking for the fastest complex number arithmetics...

Luna Moon 328 Maple
complex
August 19 2007
0
looking for the fastest complex number arithmetics... Hi all, I am looking for the fastest complex number arithmetics. There is one part of my program which needs complex number arithmetics. The final result is a real number. So I had two choices: (1) Using the C++ class, and do all the operations in complex domain, and finally extract out the real part of the result. (2) Calculate the real part of result in closed-form by hand, and program everything in C/C++ in real domain. I used to do (2). And I used Maple to help me obtain the real part of the complex-valued expressions in closed form and generate the C code. The speed is about 10x faster than (1). Now we are adding more and more terms into that expression and it looks like it is going to go beyond the capability of Maple and the limit of memory and CPU resources, in order to obtain the real part of the complicated expressions. And also the code generated by Maple is not readable and making a change to the expressions means redoing everything... So now we have to seriously consider the possibility of approach (1). Where can I find the fastest complex number arithmetics? Why is the C++ complex class so slow? (my rough estimate is that it is probably slower than Matlat's complex number operations)... Any tricks/tips/thoughts on complex number programming? Thanks!
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