/*CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC C C C GENERATE FAREY SERIES C C 06/11/07 (DKC) C C C C The Farey series Fn of order n is the ascending series of irreducible C C fractions between 0 and 1 whose denominators do not exceed n. The C C fractions in the series are generated using the theorem that if h/k, C C h'/k', and h''/k'' are three successive fractions in a Farey series, then C C h'/k' = (h + h'')/(k + k''). The fraction after two successive fractions C C h/k and h'/k' in the series is then (j*h' - h)/(j*k' - k) where j is some C C positive integer. Using the theorem that the sum of the denominators of C C successive fractions in a Farey series is greater than the order of the C C series gives j = [(n + k)/k']. C C C CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC*/ unsigned int haros3(unsigned int N, unsigned int M, unsigned int *R, unsigned int H, unsigned int K, unsigned int HP, unsigned int KP) { unsigned int HPP,KPP,J,OLDM; // // STORE CURRENT FRACTIONS // OLDM=M; R[M]=(H<<16)|K; M=M+1; R[M]=(HP<<16)|KP; // // FIND FRACTIONS IN FAREY SERIES FOLLOWING H/K, HP/KP // L100: J=(N+K)/KP; HPP=J*HP-H; KPP=J*KP-K; H=HP; K=KP; HP=HPP; KP=KPP; M=M+1; R[M]=(HP<<16)|KP; if(KP!=4) goto L100; // return(M-OLDM+1); }