/*CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC C C C COMPUTE MERTENS FUNCTION C C 05/30/14 (DKC) C C C CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC*/ #include <math.h> unsigned int haros2(unsigned int N, unsigned int M, unsigned int *R, unsigned int H, unsigned int K, unsigned int HP, unsigned int KP); double mertens2(unsigned int N, unsigned int *count, double *sum) { unsigned int S[250000]; unsigned int H,K,HP,KP; unsigned int L,I,index,count1,count2; double temp1,temp2,sum1,sum2; double pi; if (N==1) { count[0]=0; count[1]=0; sum[0]=0.0; sum[1]=0.0; return(1.0); } if (N==2) { count[0]=0; count[1]=0; sum[0]=0.0; sum[1]=0.0; return(0.0); } if (N==3) { count[0]=0; count[1]=0; sum[0]=0.0; sum[1]=0.0; return(-1.0); } if (N==4) { count[0]=0; count[1]=1; sum[0]=0.0; sum[1]=-0.5; return(-1.0); } if (N>1280) { count[0]=0; count[1]=0; sum[0]=0.0; sum[1]=0.0; return(0.0); } pi=3.141592654; L=haros2(N,0,S,0,1,1,N); index=0; for (I=0; I<L; I++) { // find index of 1/4 H=S[I]>>16; K=S[I]&0xffff; if ((double)H/(double)K>=0.25) break; index=index+1; } count1=index; count2=0; sum1=0.0; sum2=0.0; for (I=index; I>0; I--) { H=S[I-1]>>16; // towards 0/1 K=S[I-1]&0xffff; HP=S[index+1+count2]>>16; // towards 1/2 KP=S[index+1+count2]&0xffff; temp1=cos(2.0*pi*(double)H/(double)K); sum1=sum1+temp1; if (((double)HP/(double)KP)<0.5) { temp2=cos(2.0*pi*(double)HP/(double)KP); sum2=sum2+temp2; count2=count2+1; } } count1=count1-1; // exclude 0/1 sum1=sum1-1.0; I=2*index+1; HP=S[I]>>16; KP=S[I]&0xffff; while (((double)HP/(double)KP)<0.5) { temp2=cos(2.0*pi*(double)HP/(double)KP); sum2=sum2+temp2; I=I+1; HP=S[I]>>16; KP=S[I]&0xffff; count2=count2+1; } count[0]=count1; count[1]=count2; sum[0]=sum1; sum[1]=sum2; return(2*(sum1+sum2)); }