Given the following code which multiplies two vectors that contain single-precision complex numbers.

for (i=0; i<300; i++)

{

c_re[i] = a_re[i] * b_re[i] a_im[i] * b_im[i];

c_im[i] = a_re[i] * b_im[i] + a_im[i] * b_re[i];

}

(a) What is the arithmetic intensity of this code?

(b) Convert this code in to VMIPS assembly code using strip mining.

(c) Develop a roofline model for a processor that has a peak computational throughput of 85 GFLOP/sec and a 30 GB/sec memory bandwidth.

(d) Assume your code is to be executed on the above processor. Will the code be memory bound or compute bound?