Chirp Ggeneration

i am trying to generate a chirp y[n]=Asin{2pi(Fc+Xn)n} where n=0....N-1, A=amplitude, Fc= Start frequency, Xn= chirp rate through assembly language program of TMS320C55 Processor. Other required details are, sampling rate=500Hz, Swwep duration 1 sec, Amplitude A=1, Fc and chirp rate Xn to be assumed. any function evalation method can be used except simple look up table. Can someone provide me the algorithm and assembly langauge code for the signal generation.