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bispec.c
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bispec.c
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#include<stdio.h>
#include<math.h>
#include<stdlib.h>
#include<string.h>
#include"fftw3.h"
#include<omp.h>
#include <pthread.h>
#define NUM_THREADS 4
/*------------------------------GLOBAL VARIABLES-------------------------------*/
float pi=M_PI;
int N1, N2, N3; // box dimension (grid)
float LL; // grid spacing in Mpc
float norml, Lcube, vol, tpibyL;
float ***ro; // for density
fftwf_complex *comp_ro;
fftwf_plan p_ro; // for FFT
//-----------------------------------------------------------------------------//
int Nk1bin, Nnbin, Ncostbin;
float fac1, fac2, fac3;
float scalek1, scalen, scalecost, k2byk1;
float k1max, k1min;
int k2flag[8][3];
double ***bispec, ***bispec1, ***bispec2, ***bispec3, ***bispec4;
long ***no, ***no1, ***no2, ***no3, ***no4;
//-----------------------------------------------------------------------------//
float ***allocate_fftwf_3d(long N1,long N2,long N3);
double ***allocate_double_3d(int N1, int N2, int N3);
long ***allocate_long_3d(int N1, int N2, int N3);
void bispec_cal(int xstart, int xend, int xinc, int ystart, int yend, int yinc, int zstart, int zend, int zinc, int skip1, int skip2);
void * bispec_cal_c1();
void * bispec_cal_c2();
void * bispec_cal_c3();
void * bispec_cal_c4();
//-----------------------------------------------------------------------------//
void main()
{
pthread_t threads[NUM_THREADS];
int i, j, k, ii, jj, kk;
double mean=0.0;
float z, k1, k2, cost;
double t,T=omp_get_wtime(); // for timing
char file[500],file1[500];
FILE *inp,*outpp;
/*-------------------------------------------------------*/
inp=fopen("input.bispec","r");
fscanf(inp,"%f",&LL);
fscanf(inp, "%d", &Nk1bin);
fscanf(inp, "%d", &Nnbin);
fscanf(inp, "%d", &Ncostbin);
fclose(inp);
/*- allocate memory for bispectrum, bins ---------------*/
bispec = allocate_double_3d(Nnbin, Ncostbin, Nk1bin);
bispec1 = allocate_double_3d(Nnbin, Ncostbin, Nk1bin);
bispec2 = allocate_double_3d(Nnbin, Ncostbin, Nk1bin);
bispec3 = allocate_double_3d(Nnbin, Ncostbin, Nk1bin);
bispec4 = allocate_double_3d(Nnbin, Ncostbin, Nk1bin);
no = allocate_long_3d(Nnbin, Ncostbin, Nk1bin);
no1 = allocate_long_3d(Nnbin, Ncostbin, Nk1bin);
no2 = allocate_long_3d(Nnbin, Ncostbin, Nk1bin);
no3 = allocate_long_3d(Nnbin, Ncostbin, Nk1bin);
no4 = allocate_long_3d(Nnbin, Ncostbin, Nk1bin);
for(ii=0;ii<Nnbin;ii++)
for(jj=0;jj<Ncostbin;jj++)
for(kk=0;kk<Nk1bin;kk++)
{
bispec[ii][jj][kk] = 0.0;
bispec1[ii][jj][kk] = 0.0;
bispec2[ii][jj][kk] = 0.0;
bispec3[ii][jj][kk] = 0.0;
bispec4[ii][jj][kk] = 0.0;
no[ii][jj][kk] = 0;
no1[ii][jj][kk] = 0;
no2[ii][jj][kk] = 0;
no3[ii][jj][kk] = 0;
no4[ii][jj][kk] = 0;
}
/*-----Reading the simulation data file------------------*/
strcpy(file, "c_data8.0_100");
printf("Reading dT file %s\n",file);
inp = fopen(file, "r");
fread(&N1,sizeof(int),1,inp);
fread(&N2,sizeof(int),1,inp);
fread(&N3,sizeof(int),1,inp);
printf("N1=%d, N2=%d, N3=%d\n",N1,N2,N3);
/* allocate memory for HI map ---------------*/
ro=allocate_fftwf_3d(N1,N2,N3+2);
for(ii=0;ii<N1;ii++)
for(jj=0;jj<N2;jj++)
for(kk=0;kk<N3;kk++)
{
fread(&ro[ii][jj][kk],sizeof(float),1,inp);
mean += ro[ii][jj][kk];
}
fclose(inp);
mean /= (1.*N1*N2*N3);
printf("mean=%f mK\n",mean);
/***Normalization factors for converting the box into an unit box****/
norml=1./((1.0*N1)*(1.0*N2)*(1.0*N3));
Lcube=powf(LL,3.);
vol=Lcube/norml;
printf("volume = [%.4f Mpc]^3 = %e Mpc^3\n", LL*N1, vol);
tpibyL=2.0*pi/LL; // 2 pi /LL
/*************** TAKING FOURIER TRANSFORM OF RO. **************/
/* Creating the plan for forward FFT */
p_ro = fftwf_plan_dft_r2c_3d(N1, N2, N3, &(ro[0][0][0]), (fftwf_complex*)&(ro[0][0][0]), FFTW_ESTIMATE);
for(i=0;i<N1;i++)
for(j=0;j<N2;j++)
for(k=0;k<N3;k++)
ro[i][j][k]=ro[i][j][k]*Lcube;
fftwf_execute(p_ro); // ro mow contains delta(k)
//Typecasting ro as a complex variable
comp_ro = (fftwf_complex *)&(ro[0][0][0]);
/*-------------------------------------------- NOW START ESTIMATING THE Bispectrum -----------------------------------------------------*/
fac1=1./(1.*N1*N1);
fac2=1./(1.*N2*N2);
fac3=1./(1.*N3*N3);
k1max = pi/LL;
k1min = 2.*pi/(N3*LL);
//k1min = 2.*pi/(260.*LL);
scalek1 = (log10(k1max)-log10(k1min))/Nk1bin;
scalen = (1.0001 - 0.5)/Nnbin;
scalecost = (1.0001 - 0.5)/Ncostbin;
printf("Delta n=%.4f, Delta cost=%.4f, (Delta k1)/k1=%.4f\n", scalen, scalecost, scalek1);
//-----------------------------------------------------
int tmp, jk, ll;
for(jk=0; jk<8; jk++)
{
k2flag[jk][2]=1; k2flag[jk][1]=1; k2flag[jk][0]=1;
tmp=jk;
for(ll=0; tmp>0; ll++)
{
k2flag[jk][ll] = 1 - 2*(tmp%2);
tmp=tmp/2;
}
//printf("%d %d %d %d\n", jk, k2flag[jk][2], k2flag[jk][1], k2flag[jk][0]);
}
/*-------------------------------------------- cubes -----------------------------------------------------*/
/* creating threads which executes the 1/4 cubes */
if(pthread_create(&threads[0], NULL, bispec_cal_c1, NULL)) fprintf(stderr, "Error creating thread\n");
if(pthread_create(&threads[1], NULL, bispec_cal_c2, NULL)) fprintf(stderr, "Error creating thread\n");
if(pthread_create(&threads[2], NULL, bispec_cal_c3, NULL)) fprintf(stderr, "Error creating thread\n");
if(pthread_create(&threads[3], NULL, bispec_cal_c4, NULL)) fprintf(stderr, "Error creating thread\n");
/*-------------------------------------------- planes -----------------------------------------------------*/
bispec_cal(1, N1/2, 1, 1, N2/2, 1, 0, N3/2+1, N3/2, 0, 1); // xy-planes (skip for 0, 1)
bispec_cal(N1/2+1, N1, 1, 1, N2/2, 1, 0, N3/2+1, N3/2, 4, 5); // xy-planes (skip for 4, 5)
bispec_cal(0, N1/2+1, N1/2, 1, N2/2, 1, 1, N3/2, 1, 0, 4); // yz-axis (skip for 0, 4)
bispec_cal(0, N1/2+1, N1/2, N2/2+1, N2, 1, 1, N3/2, 1, 2, 6); // yz-axis (skip for 2, 6)
bispec_cal(1, N1/2, 1, 0, N2/2+1, N2/2, 1, N3/2, 1, 0, 2); // xz-axis (skip for 0, 2)
bispec_cal(N1/2+1, N1, 1, 0, N2/2+1, N2/2, 1, N3/2, 1, 4, 6); // xz-axis (skip for 4, 6)
printf("planes are done\n");
/*-------------------------------------------- lines -----------------------------------------------------*/
bispec_cal(1, N1/2, 1, 0, N2/2+1, N2/2, 0, N3/2+1, N3/2, 0, 2); // x-axis (skip for 0, 1, 2, 3)
bispec_cal(0, N1/2+1, N1/2, 1, N2/2, 1, 0, N3/2+1, N3/2, 0, 4); // y-axis (skip for 0, 1, 4, 5)
bispec_cal(0, N1/2+1, N1/2, 0, N2/2+1, N2/2, 1, N3/2, 1, 0, 2); // z-axis (skip for 0, 2, 4, 6)
printf("lines are done\n");
/*-------------------------------------------- Points -----------------------------------------------------*/
/* bispec_cal(0, N1/2+1, N1/2, 0, N2/2+1, N2/2, 0, N3/2+1, N3/2, 9, 9); // do not contribute */
/*------------------------------ wait for the threads to finish ------------------------------------------*/
for(i=0; i<NUM_THREADS; i++)
if(pthread_join(threads[i], NULL)) fprintf(stderr, "Error joining thread\n");
/*-------------------------------------------- The end -----------------------------------------------------*/
for(ii=0;ii<Nnbin;ii++)
for(jj=0;jj<Ncostbin;jj++)
for(kk=0;kk<Nk1bin;kk++)
{
bispec[ii][jj][kk] += bispec1[ii][jj][kk] + bispec2[ii][jj][kk] + bispec3[ii][jj][kk] + bispec4[ii][jj][kk];
no[ii][jj][kk] += no1[ii][jj][kk] + no2[ii][jj][kk] + no3[ii][jj][kk] + no4[ii][jj][kk];
}
//-----------------------------------------------------------------------------//
int print_flag;
for(ii=0;ii<Nnbin;ii++)
{
k2byk1 = 0.5 + (2.*ii + 1)*0.5*scalen;
sprintf(file, "mkdir k2byk1_%1.3f", k2byk1);
system(file);
for(jj=0;jj<Ncostbin;jj++)
{
cost = 0.5 + (2.*jj + 1)*0.5*scalecost;
print_flag = 0;
for(kk=0;kk<Nk1bin;kk++)
{
if(no[ii][jj][kk]>0)
print_flag = 1;
}
if(print_flag > 0)
{
sprintf(file1,"%s%1.3f%s%1.3f","k2byk1_",k2byk1,"/bispec_cosalpha",-cost);
outpp=fopen(file1,"w");
//printf("Writting bispectrum file %s\n",file1);
for(kk=0;kk<Nk1bin;kk++)
{
k1 = k1min*pow(10.,(2.*kk + 1)*0.5*scalek1);
//printf("%e\t%e\t%e\t%e\t%ld\n", k2byk1, cost, k1, bispec[ii][jj][kk], no[ii][jj][kk]);
if(no[ii][jj][kk]>0)
{
bispec[ii][jj][kk] = bispec[ii][jj][kk]/(1.*no[ii][jj][kk]*vol);
//printf("%e\t%e\t%e\t%e\n", k2byk1, cost, k1, bispec[ii][jj][kk]);
fprintf(outpp,"%e\t%e\t%ld\n", k1, bispec[ii][jj][kk], no[ii][jj][kk]);
}
}
fclose(outpp);
}
}
}//printing of bispectrum done
printf("done. Total time taken = %dhr %dmin %dsec\n",(int)((omp_get_wtime()-T)/3600), (int)((omp_get_wtime()-T)/60)%60, (int)(omp_get_wtime()-T)%60);
}
//-----------------------------------------------------------------------------//
float ***allocate_fftwf_3d(long N1,long N2,long N3)
{
long ii,jj;
long asize,index;
float ***phia, *phi;
phia=(float ***) fftwf_malloc (N1 * sizeof(float **));
for(ii=0;ii<N1;++ii)
phia[ii]=(float **) fftwf_malloc (N2 * sizeof(float *));
asize = N1*N2;
asize = asize*N3;
if(!(phi = (float *) calloc(asize,sizeof(float))))
{
printf("error in allocate_fftwf_3d");
exit(0);
}
for(ii=0;ii<N1;++ii)
for(jj=0;jj<N2;++jj)
{
index = N2*N3;
index = index*ii + N3*jj;
phia[ii][jj]=phi+ index;
}
return(phia);
}
//-----------------------------------------------------------------------------//
double ***allocate_double_3d(int N1, int N2, int N3)
{
int ii,jj;
double ***phia, *phi;
phia = (double ***) malloc(N1*sizeof(double**));
for(ii=0;ii<N1;ii++)
phia[ii] = (double **) malloc(N2*sizeof(double*));
phi = (double *) calloc((N1*N2*N3),sizeof(double));
for(ii=0;ii<N1;++ii)
for(jj=0;jj<N2;++jj)
phia[ii][jj] = phi + N2*N3*ii + N3*jj;
return(phia);
}
//-----------------------------------------------------------------------------//
long ***allocate_long_3d(int N1, int N2, int N3)
{
int ii,jj;
long ***phia, *phi;
phia = (long ***) malloc(N1*sizeof(long**));
for(ii=0;ii<N1;ii++)
phia[ii] = (long **) malloc(N2*sizeof(long*));
phi = (long *) calloc((N1*N2*N3),sizeof(long));
for(ii=0;ii<N1;++ii)
for(jj=0;jj<N2;++jj)
phia[ii][jj] = phi + N2*N3*ii + N3*jj;
return(phia);
}
//-----------------------------------------------------------------------------//
void bispec_cal(int xstart, int xend, int xinc, int ystart, int yend, int yinc, int zstart, int zend, int zinc, int skip1, int skip2)
{
int i, j, k, ii, jj, kk;
int ii2, jj2, iii, jjj, kkk, ll, jk;
int a1, b1, a2, b2, c2;
long index1, index2, index3;
int d1, d2, d3;
int k2max, k2b2max, k2c2min, k2c2max;
int delta2flag, delta3flag;
float k2a2, k2b2, costa2, costb2, k1, k2, cost;
//-----------------------------------------------------
for(i=xstart;i<xend;i=i+xinc)
{
a1 = (i>N1/2)? i-N1: i;
for(j=ystart;j<yend;j=j+yinc)
{
b1 = (j>N2/2)? j-N2: j;
for(k=zstart;k<zend;k=k+zinc)
{
index1 = i*N2*(N3/2+1) + j*(N3/2+1) + k;
k1 = sqrtf(fac1*a1*a1 + fac2*b1*b1 + fac3*k*k); // is |k1|/tpibyL
d1 = floorf((log10(tpibyL*k1)-log10(k1min))/scalek1); //logarithmic bins
//if(d1<0 || d1>=Nk1bin){printf("%d %d %d %d\n",d1, a1, b1, k);}
if(d1>=0 && d1<Nk1bin)
{
k2max = floorf(sqrtf(1.*(a1*a1 + b1*b1 + k*k)));
for(jk=0; jk<8; jk++)
{
jk = (jk==skip1)? jk+1 : jk;
jk = (jk==skip2)? jk+1 : jk;
for(ii=0; ii<=k2max; ii++)
{
a2 = k2flag[jk][2]*ii;
k2a2 = fac1*a2*a2;
costa2 = - fac1*a1*a2/k1;
k2b2max = floorf(sqrtf(1.*(a1*a1 + b1*b1 + k*k - ii*ii)));
for(jj=0; jj<=k2b2max; jj++)
{
b2 = k2flag[jk][1]*jj;
k2b2 = k2a2 + fac2*b2*b2;
costb2 = costa2 - fac2*b1*b2/k1;
k2c2max = floorf(sqrtf(1.*(a1*a1 + b1*b1 + k*k - ii*ii - jj*jj)));
k2c2min = (0.25*(a1*a1 + b1*b1 + k*k) <= 1.*(ii*ii + jj*jj))? 0 : ceilf(sqrtf(0.25*(a1*a1 + b1*b1 + k*k) - 1.*(ii*ii + jj*jj)));
for(kk=k2c2min; kk<=k2c2max; kk++)
{
c2 = k2flag[jk][0]*kk;
cost = costb2 - fac3*k*c2/k1; // is cost*k2
if(cost/k1 >= 0.5)
{
k2 = sqrtf(k2b2 + fac3*c2*c2); // is |k2|/tpibyL
d2 = floorf((k2/k1 - 0.5)/scalen); //if(d2<0 || d2>=Nnbin){printf("Not ok at d2=%d\n", d2);}
d3 = (cost/k2 <= 0.5)? 0 : floorf((cost/k2 - 0.5)/scalecost); //if(d3<0 || d3>=Ncostbin){printf("Not ok at d3=%d\n", d3);}
//-----------------------------------------------------
if(c2 < 0)
{
ii2 = (a2>0)? N1-a2 : -a2;
jj2 = (b2>0)? N2-b2 : -b2;
delta2flag = -1;
}
else
{
ii2 = (a2<0)? N1+a2 : a2;
jj2 = (b2<0)? N2+b2 : b2;
delta2flag = 1;
}
//-----------------------------------------------------
if(-(k + c2) < 0)
{
iii = (-(a1 + a2)>0)? N1+(a1 + a2) : (a1 + a2);
jjj = (-(b1 + b2)>0)? N2+(b1 + b2) : (b1 + b2);
delta3flag = -1;
}
else
{
iii = (-(a1 + a2)<0)? N1-(a1 + a2) : -(a1 + a2);
jjj = (-(b1 + b2)<0)? N2-(b1 + b2) : -(b1 + b2);
delta3flag = 1;
}
//-----------------------------------------------------
index2 = ii2*N2*(N3/2+1) + jj2*(N3/2+1) + kk;
index3 = iii*N2*(N3/2+1) + jjj*(N3/2+1) + abs(k + c2);
bispec[d2][d3][d1] += comp_ro[index1][0]*comp_ro[index2][0]*comp_ro[index3][0] - comp_ro[index1][1]*delta2flag*comp_ro[index2][1]*comp_ro[index3][0] - comp_ro[index1][0]*delta2flag*comp_ro[index2][1]*delta3flag*comp_ro[index3][1] - comp_ro[index1][1]*comp_ro[index2][0]*delta3flag*comp_ro[index3][1];
no[d2][d3][d1] += 1;
} // end of d3 check
} // end of k2 z-direction
} // end of k2 y-direction
} // end of k2 x-direction
} // end of k2
} // end of d1 check
} // end of k1 z-direction
} // end of k1 y-direction
} // end of k1 x-direction
}
//-----------------------------------------------------------------------------//
void * bispec_cal_c1()
{
int i, j, k, ii, jj, kk;
int ii2, jj2, iii, jjj, kkk, ll, jk;
int a1, b1, a2, b2, c2;
long index1, index2, index3;
int d1, d2, d3;
int k2max, k2b2max, k2c2min, k2c2max;
int delta2flag, delta3flag;
float k2a2, k2b2, costa2, costb2, k1, k2, cost;
int mm;
int i2, j2;
int skip1[4];
int k1a1max, k1b1max, k1c1max;
//-----------------------------------------------------
k1a1max = floorf(N1*k1max/tpibyL);
if(k1a1max > N1/2)
{
printf("Check k1max k1a1max=%d\n", k1a1max);
exit(0);
}
skip1[0] = 0;
//-----------------------------------------------------
for(i=1;i<k1a1max;i++)
{
a1 = i;
i2 = (a1<0)? N1+a1 : a1;
k1b1max = floorf(sqrtf(1.*(k1a1max*k1a1max - i*i)));
for(j=1;j<=k1b1max;j++)
{
b1 = j;
j2 = (b1<0)? N2+b1 : b1;
k1c1max = floorf(sqrtf(1.*(k1a1max*k1a1max - i*i - j*j)));
for(k=1;k<=k1c1max;k++)
{
index1 = i2*N2*(N3/2+1) + j2*(N3/2+1) + k;
k1 = sqrtf(fac1*a1*a1 + fac2*b1*b1 + fac3*k*k); // is |k1|/tpibyL
d1 = floorf((log10(tpibyL*k1) - log10(k1min))/scalek1); //logarithmic bins
//if(d1<0 || d1>=Nk1bin){printf("%d %d %d %d\n",d1, a1, b1, k);}
if(d1>=0 && d1<Nk1bin)
{
//-----------------------------------------------------
skip1[1] = (i/(k1*N1) < 0.5)? 4 : 9;
skip1[2] = (j/(k1*N2) < 0.5)? 2 : 9;
skip1[3] = (k/(k1*N3) < 0.5)? 1 : 9;
//printf("%d %d %d %d\n", skip1[0], skip1[1], skip1[2], skip1[3]);
//-----------------------------------------------------
k2max = floorf(sqrtf(1.*(a1*a1 + b1*b1 + k*k)));
for(jk=0; jk<8; jk++)
{
if(jk == skip1[0]){continue;}
if(jk == skip1[1]){continue;}
if(jk == skip1[2]){continue;}
if(jk == skip1[3]){continue;}
delta2flag = (k2flag[jk][0] < 0)? -1 : 1;
for(ii=0; ii<=k2max; ii++)
{
a2 = k2flag[jk][2]*ii;
k2a2 = fac1*a2*a2;
costa2 = - fac1*a1*a2/k1;
if(k2flag[jk][0] < 0) ii2 = (a2>0)? N1-a2 : -a2;
else ii2 = (a2<0)? N1+a2 : a2;
k2b2max = floorf(sqrtf(1.*(a1*a1 + b1*b1 + k*k - ii*ii)));
for(jj=0; jj<=k2b2max; jj++)
{
b2 = k2flag[jk][1]*jj;
k2b2 = k2a2 + fac2*b2*b2;
costb2 = costa2 - fac2*b1*b2/k1;
if(k2flag[jk][0] < 0) jj2 = (b2>0)? N2-b2 : -b2;
else jj2 = (b2<0)? N2+b2 : b2;
k2c2max = floorf(sqrtf(1.*(a1*a1 + b1*b1 + k*k - ii*ii - jj*jj)));
k2c2min = (0.25*(a1*a1 + b1*b1 + k*k) <= 1.*(ii*ii + jj*jj))? 0 : ceilf(sqrtf(0.25*(a1*a1 + b1*b1 + k*k) - 1.*(ii*ii + jj*jj)));
for(kk=k2c2min; kk<=k2c2max; kk++)
{
c2 = k2flag[jk][0]*kk;
cost = costb2 - fac3*k*c2/k1; // is cost*k2
if(cost/k1 >= 0.5)
{
k2 = sqrtf(k2b2 + fac3*c2*c2); // is |k2|/tpibyL
d2 = floorf((k2/k1 - 0.5)/scalen); //if(d2<0 || d2>=Nnbin){printf("Not ok at d2=%d\n", d2);}
d3 = (cost/k2 <= 0.5)? 0 : floorf((cost/k2 - 0.5)/scalecost); //if(d3<0 || d3>=Ncostbin){printf("Not ok at d3=%d\n", d3);}
//-----------------------------------------------------
if(c2 == 0)
{
ii2 = (a2<0)? N1+a2 : a2;
jj2 = (b2<0)? N2+b2 : b2;
delta2flag = 1;
}
//-----------------------------------------------------
if(-(k + c2) < 0)
{
iii = (-(a1 + a2)>0)? N1+(a1 + a2) : (a1 + a2);
jjj = (-(b1 + b2)>0)? N2+(b1 + b2) : (b1 + b2);
delta3flag = -1;
}
else
{
iii = (-(a1 + a2)<0)? N1-(a1 + a2) : -(a1 + a2);
jjj = (-(b1 + b2)<0)? N2-(b1 + b2) : -(b1 + b2);
delta3flag = 1;
}
//-----------------------------------------------------
index2 = ii2*N2*(N3/2+1) + jj2*(N3/2+1) + kk;
index3 = iii*N2*(N3/2+1) + jjj*(N3/2+1) + abs(k + c2);
bispec1[d2][d3][d1] += comp_ro[index1][0]*comp_ro[index2][0]*comp_ro[index3][0] - comp_ro[index1][1]*delta2flag*comp_ro[index2][1]*comp_ro[index3][0] - comp_ro[index1][0]*delta2flag*comp_ro[index2][1]*delta3flag*comp_ro[index3][1] - comp_ro[index1][1]*comp_ro[index2][0]*delta3flag*comp_ro[index3][1];
no1[d2][d3][d1] += 1;
} // end of d3 check
} // end of k2 z-direction
} // end of k2 y-direction
} // end of k2 x-direction
} // end of k2
} // end of d1 check
} // end of k1 z-direction
} // end of k1 y-direction
} // end of k1 x-direction
printf("cube %d/4 is done\n",1);
}
//-----------------------------------------------------------------------------//
void * bispec_cal_c2()
{
int i, j, k, ii, jj, kk;
int ii2, jj2, iii, jjj, kkk, ll, jk;
int a1, b1, a2, b2, c2;
long index1, index2, index3;
int d1, d2, d3;
int k2max, k2b2max, k2c2min, k2c2max;
int delta2flag, delta3flag;
float k2a2, k2b2, costa2, costb2, k1, k2, cost;
int mm;
int i2, j2;
int skip1[4];
int k1a1max, k1b1max, k1c1max;
//-----------------------------------------------------
k1a1max = floorf(N1*k1max/tpibyL);
skip1[0] = 2;
for(i=1;i<k1a1max;i++)
{
a1 = i;
i2 = (a1<0)? N1+a1 : a1;
k1b1max = floorf(sqrtf(1.*(k1a1max*k1a1max - i*i)));
for(j=1;j<=k1b1max;j++)
{
b1 = -j;
j2 = (b1<0)? N2+b1 : b1;
k1c1max = floorf(sqrtf(1.*(k1a1max*k1a1max - i*i - j*j)));
for(k=1;k<=k1c1max;k++)
{
index1 = i2*N2*(N3/2+1) + j2*(N3/2+1) + k;
k1 = sqrtf(fac1*a1*a1 + fac2*b1*b1 + fac3*k*k); // is |k1|/tpibyL
d1 = floorf((log10(tpibyL*k1) - log10(k1min))/scalek1); //logarithmic bins
//if(d1<0 || d1>=Nk1bin){printf("%d %d %d %d\n",d1, a1, b1, k);}
if(d1>=0 && d1<Nk1bin)
{
//-----------------------------------------------------
skip1[1] = (i/(k1*N1) < 0.5)? 6 : 9;
skip1[2] = (j/(k1*N2) < 0.5)? 0 : 9;
skip1[3] = (k/(k1*N3) < 0.5)? 3 : 9;
//printf("%d %d %d %d\n", skip1[0], skip1[1], skip1[2], skip1[3]);
//-----------------------------------------------------
k2max = floorf(sqrtf(1.*(a1*a1 + b1*b1 + k*k)));
for(jk=0; jk<8; jk++)
{
if(jk == skip1[0]){continue;}
if(jk == skip1[1]){continue;}
if(jk == skip1[2]){continue;}
if(jk == skip1[3]){continue;}
delta2flag = (k2flag[jk][0] < 0)? -1 : 1;
for(ii=0; ii<=k2max; ii++)
{
a2 = k2flag[jk][2]*ii;
k2a2 = fac1*a2*a2;
costa2 = - fac1*a1*a2/k1;
if(k2flag[jk][0] < 0) ii2 = (a2>0)? N1-a2 : -a2;
else ii2 = (a2<0)? N1+a2 : a2;
k2b2max = floorf(sqrtf(1.*(a1*a1 + b1*b1 + k*k - ii*ii)));
for(jj=0; jj<=k2b2max; jj++)
{
b2 = k2flag[jk][1]*jj;
k2b2 = k2a2 + fac2*b2*b2;
costb2 = costa2 - fac2*b1*b2/k1;
if(k2flag[jk][0] < 0) jj2 = (b2>0)? N2-b2 : -b2;
else jj2 = (b2<0)? N2+b2 : b2;
k2c2max = floorf(sqrtf(1.*(a1*a1 + b1*b1 + k*k - ii*ii - jj*jj)));
k2c2min = (0.25*(a1*a1 + b1*b1 + k*k) <= 1.*(ii*ii + jj*jj))? 0 : ceilf(sqrtf(0.25*(a1*a1 + b1*b1 + k*k) - 1.*(ii*ii + jj*jj)));
for(kk=k2c2min; kk<=k2c2max; kk++)
{
c2 = k2flag[jk][0]*kk;
cost = costb2 - fac3*k*c2/k1; // is cost*k2
if(cost/k1 >= 0.5)
{
k2 = sqrtf(k2b2 + fac3*c2*c2); // is |k2|/tpibyL
d2 = floorf((k2/k1 - 0.5)/scalen); //if(d2<0 || d2>=Nnbin){printf("Not ok at d2=%d\n", d2);}
d3 = (cost/k2 <= 0.5)? 0 : floorf((cost/k2 - 0.5)/scalecost); //if(d3<0 || d3>=Ncostbin){printf("Not ok at d3=%d\n", d3);}
//-----------------------------------------------------
if(c2 == 0)
{
ii2 = (a2<0)? N1+a2 : a2;
jj2 = (b2<0)? N2+b2 : b2;
delta2flag = 1;
}
//-----------------------------------------------------
if(-(k + c2) < 0)
{
iii = (-(a1 + a2)>0)? N1+(a1 + a2) : (a1 + a2);
jjj = (-(b1 + b2)>0)? N2+(b1 + b2) : (b1 + b2);
delta3flag = -1;
}
else
{
iii = (-(a1 + a2)<0)? N1-(a1 + a2) : -(a1 + a2);
jjj = (-(b1 + b2)<0)? N2-(b1 + b2) : -(b1 + b2);
delta3flag = 1;
}
//-----------------------------------------------------
index2 = ii2*N2*(N3/2+1) + jj2*(N3/2+1) + kk;
index3 = iii*N2*(N3/2+1) + jjj*(N3/2+1) + abs(k + c2);
bispec2[d2][d3][d1] += comp_ro[index1][0]*comp_ro[index2][0]*comp_ro[index3][0] - comp_ro[index1][1]*delta2flag*comp_ro[index2][1]*comp_ro[index3][0] - comp_ro[index1][0]*delta2flag*comp_ro[index2][1]*delta3flag*comp_ro[index3][1] - comp_ro[index1][1]*comp_ro[index2][0]*delta3flag*comp_ro[index3][1];
no2[d2][d3][d1] += 1;
} // end of d3 check
} // end of k2 z-direction
} // end of k2 y-direction
} // end of k2 x-direction
} // end of k2
} // end of d1 check
} // end of k1 z-direction
} // end of k1 y-direction
} // end of k1 x-direction
printf("cube %d/4 is done\n",2);
}
//-----------------------------------------------------------------------------//
void * bispec_cal_c3()
{
int i, j, k, ii, jj, kk;
int ii2, jj2, iii, jjj, kkk, ll, jk;
int a1, b1, a2, b2, c2;
long index1, index2, index3;
int d1, d2, d3;
int k2max, k2b2max, k2c2min, k2c2max;
int delta2flag, delta3flag;
float k2a2, k2b2, costa2, costb2, k1, k2, cost;
int mm;
int i2, j2;
int skip1[4];
int k1a1max, k1b1max, k1c1max;
//-----------------------------------------------------
k1a1max = floorf(N1*k1max/tpibyL);
skip1[0] = 4;
for(i=1;i<k1a1max;i++)
{
a1 = -i;
i2 = (a1<0)? N1+a1 : a1;
k1b1max = floorf(sqrtf(1.*(k1a1max*k1a1max - i*i)));
for(j=1;j<=k1b1max;j++)
{
b1 = j;
j2 = (b1<0)? N2+b1 : b1;
k1c1max = floorf(sqrtf(1.*(k1a1max*k1a1max - i*i - j*j)));
for(k=1;k<=k1c1max;k++)
{
index1 = i2*N2*(N3/2+1) + j2*(N3/2+1) + k;
k1 = sqrtf(fac1*a1*a1 + fac2*b1*b1 + fac3*k*k); // is |k1|/tpibyL
d1 = floorf((log10(tpibyL*k1) - log10(k1min))/scalek1); //logarithmic bins
//if(d1<0 || d1>=Nk1bin){printf("%d %d %d %d\n",d1, a1, b1, k);}
if(d1>=0 && d1<Nk1bin)
{
//-----------------------------------------------------
skip1[1] = (i/(k1*N1) < 0.5)? 0 : 9;
skip1[2] = (j/(k1*N2) < 0.5)? 6 : 9;
skip1[3] = (k/(k1*N3) < 0.5)? 5 : 9;
//printf("%d %d %d %d\n", skip1[0], skip1[1], skip1[2], skip1[3]);
//-----------------------------------------------------
k2max = floorf(sqrtf(1.*(a1*a1 + b1*b1 + k*k)));
for(jk=0; jk<8; jk++)
{
if(jk == skip1[0]){continue;}
if(jk == skip1[1]){continue;}
if(jk == skip1[2]){continue;}
if(jk == skip1[3]){continue;}
delta2flag = (k2flag[jk][0] < 0)? -1 : 1;
for(ii=0; ii<=k2max; ii++)
{
a2 = k2flag[jk][2]*ii;
k2a2 = fac1*a2*a2;
costa2 = - fac1*a1*a2/k1;
if(k2flag[jk][0] < 0) ii2 = (a2>0)? N1-a2 : -a2;
else ii2 = (a2<0)? N1+a2 : a2;
k2b2max = floorf(sqrtf(1.*(a1*a1 + b1*b1 + k*k - ii*ii)));
for(jj=0; jj<=k2b2max; jj++)
{
b2 = k2flag[jk][1]*jj;
k2b2 = k2a2 + fac2*b2*b2;
costb2 = costa2 - fac2*b1*b2/k1;
if(k2flag[jk][0] < 0) jj2 = (b2>0)? N2-b2 : -b2;
else jj2 = (b2<0)? N2+b2 : b2;
k2c2max = floorf(sqrtf(1.*(a1*a1 + b1*b1 + k*k - ii*ii - jj*jj)));
k2c2min = (0.25*(a1*a1 + b1*b1 + k*k) <= 1.*(ii*ii + jj*jj))? 0 : ceilf(sqrtf(0.25*(a1*a1 + b1*b1 + k*k) - 1.*(ii*ii + jj*jj)));
for(kk=k2c2min; kk<=k2c2max; kk++)
{
c2 = k2flag[jk][0]*kk;
cost = costb2 - fac3*k*c2/k1; // is cost*k2
if(cost/k1 >= 0.5)
{
k2 = sqrtf(k2b2 + fac3*c2*c2); // is |k2|/tpibyL
d2 = floorf((k2/k1 - 0.5)/scalen); //if(d2<0 || d2>=Nnbin){printf("Not ok at d2=%d\n", d2);}
d3 = (cost/k2 <= 0.5)? 0 : floorf((cost/k2 - 0.5)/scalecost); //if(d3<0 || d3>=Ncostbin){printf("Not ok at d3=%d\n", d3);}
//-----------------------------------------------------
if(c2 == 0)
{
ii2 = (a2<0)? N1+a2 : a2;
jj2 = (b2<0)? N2+b2 : b2;
delta2flag = 1;
}
//-----------------------------------------------------
if(-(k + c2) < 0)
{
iii = (-(a1 + a2)>0)? N1+(a1 + a2) : (a1 + a2);
jjj = (-(b1 + b2)>0)? N2+(b1 + b2) : (b1 + b2);
delta3flag = -1;
}
else
{
iii = (-(a1 + a2)<0)? N1-(a1 + a2) : -(a1 + a2);
jjj = (-(b1 + b2)<0)? N2-(b1 + b2) : -(b1 + b2);
delta3flag = 1;
}
//-----------------------------------------------------
index2 = ii2*N2*(N3/2+1) + jj2*(N3/2+1) + kk;
index3 = iii*N2*(N3/2+1) + jjj*(N3/2+1) + abs(k + c2);
bispec3[d2][d3][d1] += comp_ro[index1][0]*comp_ro[index2][0]*comp_ro[index3][0] - comp_ro[index1][1]*delta2flag*comp_ro[index2][1]*comp_ro[index3][0] - comp_ro[index1][0]*delta2flag*comp_ro[index2][1]*delta3flag*comp_ro[index3][1] - comp_ro[index1][1]*comp_ro[index2][0]*delta3flag*comp_ro[index3][1];
no3[d2][d3][d1] += 1;
} // end of d3 check
} // end of k2 z-direction
} // end of k2 y-direction
} // end of k2 x-direction
} // end of k2
} // end of d1 check
} // end of k1 z-direction
} // end of k1 y-direction
} // end of k1 x-direction