static double vSigmaI(double X, double Beps, int fast)
{ double XX;
int i;
if(vSigmaGrid.pow==0)
{ checkSgridUpdate();
vSigmaGrid.pow=1;
vSigmaGrid.xtop=X;
MassCut=Mcdm*(2-log(Beps)/X);
vSigmaGrid.data[0]= aRate(X,0,fast,NULL,NULL);
return vSigmaGrid.data[0];
}
while(X<= vSigmaGrid.xtop)
{ XX=vSigmaGrid.xtop/XSTEP;
checkSgridUpdate();
for(i=vSigmaGrid.pow;i;i--) vSigmaGrid.data[i]=vSigmaGrid.data[i-1];
vSigmaGrid.xtop=XX;
MassCut=Mcdm*(2-log(Beps)/XX);
vSigmaGrid.data[0]=aRate(XX,0,fast,NULL,NULL);
vSigmaGrid.pow++;
}
for(XX=vSigmaGrid.xtop*pow(XSTEP,vSigmaGrid.pow-1);X>= XX;)
{ XX*=XSTEP;
checkSgridUpdate();
MassCut=Mcdm*(2-log(Beps)/XX);
vSigmaGrid.data[vSigmaGrid.pow]=aRate(XX,0,fast,NULL,NULL);
vSigmaGrid.pow++;
}
{ double X0,X1,X2,sigmav0,sigmav1,sigmav2;
i=log(X/vSigmaGrid.xtop)/log(XSTEP);
if(i<0)i=0;
if(i>vSigmaGrid.pow-2) i=vSigmaGrid.pow-2;
X1=vSigmaGrid.xtop*pow(XSTEP,i); X2=X1*XSTEP;
sigmav1=log(vSigmaGrid.data[i]);
sigmav2=log(vSigmaGrid.data[i+1]);
if(vSigmaGrid.pow==2)
{
return exp((sigmav1*(X-X2)-sigmav2*(X-X1))/(X1-X2));
}
if(i>0) { X0=X1/XSTEP; sigmav0=log(vSigmaGrid.data[i-1]); }
else { X0=X2*XSTEP; sigmav0=log(vSigmaGrid.data[i+2]); }
return exp( sigmav0*(X-X1)*(X-X2)/(X0-X1)/(X0-X2)
+sigmav1*(X-X0)*(X-X2)/(X1-X0)/(X1-X2)
+sigmav2*(X-X0)*(X-X1)/(X2-X0)/(X2-X1)
);
}
}
double darkOmega(double * Xf, int Fast, double Beps)
{
double Yt,Yi,Xt=25;
double Z1=1.1;
double Z2=10;
int i;
double Xf1;
if(Xf)*Xf=Xt;
assignVal("Q",2*M);
if(Beps>=1) Beps=0.999;
if(Z1<=1) Z1=1.1;
fast_=Fast;
Yt= darkOmega1(&Xt, Z1, (Z1-1)/5,Fast, Beps);
if(Yt<0||FError) return -1;
Xf1=Xt;
for(i=0; ;i++)
{ double X2=vSigmaGrid.xtop*pow(XSTEP,i+1);
double y;
if(Yt>=Z2*Yeq(Xt)) break;
if(Xt>X2*0.999999) continue;
while(vSigmaGrid.pow<=i+1)
{ double X;
if(vSigmaGrid.pow==vSigmaGrid.size)
{ vSigmaGrid.size+=10;
vSigmaGrid.data=(double*)realloc(vSigmaGrid.data,sizeof(double)*vSigmaGrid.size);
}
X=vSigmaGrid.xtop*pow(XSTEP,vSigmaGrid.pow);
MassCut=M*(2-log(Beps)/X);
vSigmaGrid.data[vSigmaGrid.pow++]=aRate(X,0,Fast,NULL);
if(FError) return -1;
}
y=log(Yt);
odeint(&y,1 , Xt , X2 , 1.E-3, (X2-Xt)/2, &XderivLn);
Yt=exp(y);
Xt=X2;
}
if(Xf) *Xf=0.5*(Xf1+Xt);
Yi=1/( (M/Xt)*sqrt(M_PI/45)*MPlank*aRate(Xt,1,Fast,NULL) );
if(!finite(Yi)||FError) return -1;
return 2.742E8*M/(1/Yt + 1/Yi); /* 2.828-old 2.755-new,2.742 -newnew */
}
double vSigma(double T,double Beps ,int Fast)
{
double X=Mcdm/T;
assignVal("Q",2*Mcdm);
MassCut=Mcdm*(2-log(Beps)/X);
return 3.8937966E8*aRate(X, 0 ,Fast,&vSigmaTCh,NULL);
}
double darkOmega(double * Xf, int Fast, double Beps)
{
double Yt,Yi,Xt=25;
double Z1=1.1;
double Z2=10;
int i;
double Xf1;
if(Xf)*Xf=Xt;
assignVal("Q",2*Mcdm);
if(Beps>=1) Beps=0.999;
Beps_=Beps; Fast_=Fast;
if(Z1<=1) Z1=1.1;
Yt= darkOmega1(&Xt, Z1, (Z1-1)/5,Fast, Beps);
if(Yt<0||FError) {return -1;}
Xf1=Xt;
for(i=0; ;i++)
{ double X2=vSigmaGrid.xtop*pow(XSTEP,i+1);
double y;
if(Yt>=Z2*Yeq(Xt)) break;
if(Xt>X2*0.999999) continue;
y=Yt;
if(odeint(&y,1 , Xt , X2 , 1.E-3, (X2-Xt)/2, &XderivLn)){return -1;}
Yt=y;
Xt=X2;
}
if(Xf) *Xf=0.5*(Xf1+Xt);
Yi=1/( (Mcdm/Xt)*sqrt(M_PI/45)*MPlank*aRate(Xt,1,Fast,NULL,NULL));
if(!finite(Yi)||FError) return -1;
if(deltaY==0.)
{ dmAsymm=0;
return 2.742E8*Mcdm/(1/Yt + 1/Yi); /* 2.828-old 2.755-new,2.742 -newnew */
} else
{ double a,f,z0,Y0;
a=fabs(deltaY);
f= (sqrt(Yt*Yt+a*a)-a)/
(sqrt(Yt*Yt+a*a)+a)*exp(-2*a/Yi);
z0=sqrt(f)*2*a/(1-f);
Y0=sqrt(z0*z0+a*a);
dmAsymm=log((Y0+deltaY)/(Y0-deltaY));
return 2.742E8*Mcdm*Y0;
}
}
const char *MSLabelOut::formatOutput(MSString &buffer_,double data_)
{
if (data_<UINT_MAX)
{
unsigned index=unsigned(data_);
if (index<labels().length())
{
buffer_=labels()(index);
return buffer_.string();
}
}
switch (format().formatType())
{
case MSFormat::Date:
{
MSDate aDate((MSJulian)data_);
return aDate.format(buffer_,format());
}
case MSFormat::Money:
{
MSMoney aMoney(data_);
return aMoney.format(buffer_,format());
}
case MSFormat::Rate:
{
MSRate aRate(data_);
return aRate.format(buffer_,format());
}
case MSFormat::Time:
{
MSTime aTime((time_t)data_);
return aTime.format(buffer_,format());
}
case MSFormat::Float:
default:
{
MSFloat aFloat(data_);
return aFloat.format(buffer_,format());
}
}
/* return buffer_.string(); */
}
double darkOmegaFO(double * Xf_, int Fast, double Beps)
{
double Yf,Yi;
double Z1=2.5;
double dZ1=0.05;
double x;
double Xf=25;
if(Xf_) *Xf_=Xf;
assignVal("Q",2*M);
if(Beps>=1) Beps=0.999;
Yf= darkOmega1(&Xf, Z1, dZ1,Fast, Beps);
if(Yf<0||FError) return -1;
x=Xf;
Yi=1/( (M/x)*sqrt(M_PI/45)*MPlank*aRate(x, 1,Fast, NULL) );
if(!finite(Yi)||FError) return -1;
if(Xf_) *Xf_=Xf;
return 2.742E8*M/(1/Yf + 1/Yi); /* 2.828-old 2.755-new 2.742 next-new */
}
double printChannels(double Xf ,double cut, double Beps, int prcn, FILE * f)
{ int i, nsub, l1,l2;
int nPrc,nform=log10(1/cut)-2;
float *wPrc;
double Sum;
MassCut=M*(2-log(Beps)/Xf);
Sum=aRate(Xf, 1,1,&wPrc)*(M/Xf)*sqrt(M_PI/45)*MPlank/(2.742E8*M);
if(FError) return -1;
if(wPrc==NULL) return 0;
if(nform<0)nform=0;
fprintf(f,"\nChannels which contribute to 1/(omega) more than %G%%.\n",100*cut );
if(prcn) fprintf(f,"Relative contrubutions in %% are displyed\n");
else fprintf(f,"Absolut contrubutions are displyed\n");
for(l1=0,nPrc=0;l1<NC;l1++)
{ int k1=sort[l1]; if(M+inMass[k1]>MassCut) break;
for(l2=0;l2<NC;l2++)
{
int k2=sort[l2];
if( inMass[k1]+inMass[k2]>MassCut) break;
if( inC[k1*NC+k2]<=0) continue;
for(nsub=1; nsub<=code22[k1*NC+k2]->interface->nprc; nsub++,nPrc++) if(fabs(wPrc[nPrc])>=cut)
{ char *pname[4];
for(i=0;i<4;i++) pname[i]=code22[k1*NC+k2]->interface->pinf(nsub,i+1,NULL,NULL);
if(prcn)
{ if(cut <0.000001) fprintf(f,"%.1E%% %s %s -> %s %s \n",
100*wPrc[nPrc],pname[0],pname[1],pname[2],pname[3]);
else fprintf(f,"%*.*f%% %s %s -> %s %s \n",nform+3,nform,
100*wPrc[nPrc],pname[0],pname[1],pname[2],pname[3]);
} else
fprintf(f,"%.1E %s %s -> %s %s \n",Sum*wPrc[nPrc],pname[0],pname[1],pname[2],pname[3]);
}
}
}
return 1/Sum;
}
double oneChannel(double Xf,double Beps,char*n1,char*n2,char*n3,char*n4)
{ int j,nPrc;
aChannel *wPrc;
double Sum,res;
MassCut=Mcdm*(2-log(Beps)/Xf);
Sum=aRate(Xf, 1,1,&wPrc,&nPrc)*(Mcdm/Xf)*sqrt(M_PI/45)*MPlank/(2.742E8*Mcdm);
if(FError) { return -1;}
if(wPrc==NULL) { return 0;}
for(res=0,j=0;j<nPrc;j++)
if( ( (strcmp_(n1,wPrc[j].prtcl[0])==0 && strcmp_(n2,wPrc[j].prtcl[1])==0) ||
(strcmp_(n2,wPrc[j].prtcl[0])==0 && strcmp_(n1,wPrc[j].prtcl[1])==0)
) &&
( (strcmp_(n3,wPrc[j].prtcl[2])==0 && strcmp_(n4,wPrc[j].prtcl[3])==0) ||
(strcmp_(n4,wPrc[j].prtcl[2])==0 && strcmp_(n3,wPrc[j].prtcl[3])==0)
)
) {res+=wPrc[j].weight;}
free(wPrc);
return res;
}
double printChannels(double Xf ,double cut, double Beps, int prcn, FILE * f)
{ int i,nPrc,nform=log10(1/cut)-2;
aChannel *wPrc;
double Sum,s;
if(omegaCh) {free(omegaCh); omegaCh=NULL;}
MassCut=Mcdm*(2-log(Beps)/Xf);
Sum=aRate(Xf, 1,1,&omegaCh,&nPrc)*(Mcdm/Xf)*sqrt(M_PI/45)*MPlank/(2.742E8*Mcdm);
if(FError) { return -1;}
if(wPrc==NULL) { return 0;}
if(nform<0)nform=0;
if(f)
{ int j;
fprintf(f,"\nChannels which contribute to 1/(omega) more than %G%%.\n",100*cut );
if(prcn) fprintf(f,"Relative contrubutions in %% are displyed\n");
else fprintf(f,"Absolut contrubutions are displyed\n");
for(i=0,s=0;i<nPrc;i++) if(fabs(omegaCh[i].weight)>=cut)
{ s+=omegaCh[i].weight;
if(prcn)
{ if(cut <0.000001) fprintf(f,"%.1E%% ",100*omegaCh[i].weight);
else fprintf(f,"%*.*f%% ",nform+3,nform,
100*omegaCh[i].weight);
} else fprintf(f,"%.1E ",Sum*omegaCh[i].weight);
for(j=0;j<4;j++)
{
fprintf(f,"%s ",omegaCh[i].prtcl[j]);
if(j==1) fprintf(f,"->");
if(j==3) fprintf(f,"\n");
}
}
}
return 1/Sum;
}
static double darkOmega1(double * Xf,double Z1,double dZ1,int Fast,double Beps)
{
double X = *Xf;
double sqrt_gStar;
double CCX=(Z1-1)*(Z1+1);
double dCCX=(Z1-1+dZ1)*(Z1+1+dZ1)-CCX;
double d, dYdX,Yeq0X;
double dCC,dCC1,dCC2,X1,X2,vSigma,vSigma1,vSigma2;
double cFactor=sqrt(M_PI/45)*MPlank*M;
int i;
if(vSigmaGrid.data==NULL)
{ vSigmaGrid.data=(double*)malloc(20*sizeof(double));
vSigmaGrid.size=20;
}
sigma= (Fast)?sigma_gauss:sigma_simpson;
if(Beps>=1) Beps=0.999;
MassCut=M*(2-log(Beps)/X);
d=X*0.01; dYdX=(Yeq(X+d)-Yeq(X-d))/(2*d);
Yeq0X=Yeq(X)/X;
termod(M/X,&sqrt_gStar,NULL);
vSigma=aRate(X,0,Fast,NULL); if(FError) return -1;
if(vSigma ==0)
{ printf("ERROR:Zero annihilation rate,\n");
return -1;
}
dCC=-CCX-dYdX/(vSigma*cFactor*sqrt_gStar*Yeq0X*Yeq0X);
vSigmaGrid.data[0]=vSigma;
vSigmaGrid.xtop=X;
vSigmaGrid.pow=1;
if(fabs(dCC)<dCCX) { *Xf=X; return Yeq(X)*sqrt(1+dCC+CCX);}
dCC1=dCC;dCC2=dCC;X1=X;X2=X; vSigma1=vSigma;vSigma2=vSigma;
while(dCC2>0)
{
X1=X2;
dCC1=dCC2;
vSigma1=vSigma2;
X2=X2/XSTEP;
X=X2;
MassCut=M*(2-log(Beps)/X);
termod(M/X,&sqrt_gStar,NULL);
d=0.01*X; dYdX= (Yeq(X+d)-Yeq(X-d))/(2*d);
Yeq0X=Yeq(X)/X;
vSigma2=aRate(X,0,Fast,NULL); if(FError) return -1;
dCC2=-CCX-dYdX/(vSigma2*cFactor*sqrt_gStar*Yeq0X*Yeq0X);
if(vSigmaGrid.pow==vSigmaGrid.size)
{ vSigmaGrid.size+=10;
vSigmaGrid.data=(double*)realloc(vSigmaGrid.data,sizeof(double)*vSigmaGrid.size);
}
for(i=vSigmaGrid.pow;i;i--) vSigmaGrid.data[i]=vSigmaGrid.data[i-1];
vSigmaGrid.xtop=X; vSigmaGrid.data[0]=vSigma2; vSigmaGrid.pow++;
}
while (dCC1<0)
{
X2=X1;
dCC2=dCC1;
vSigma2=vSigma1;
X1=X1*XSTEP;
X=X1;
MassCut=M*(2-log(Beps)/X);
termod(M/X,&sqrt_gStar,NULL);
d=0.01*X; dYdX=(Yeq(X+d)-Yeq(X-d))/(2*d);
Yeq0X=Yeq(X)/X;
vSigma1=aRate(X,0,Fast,NULL); if(FError) return -1;
dCC1=-CCX-dYdX/(vSigma1*cFactor*sqrt_gStar*Yeq0X*Yeq0X);
if(vSigmaGrid.pow==vSigmaGrid.size)
{ vSigmaGrid.size+=10;
vSigmaGrid.data=(double*)realloc(vSigmaGrid.data,sizeof(double)*vSigmaGrid.size);
}
vSigmaGrid.data[vSigmaGrid.pow++]=vSigma1;
}
for(;;)
{
if(fabs(dCC1)<dCCX) { *Xf=X1; return Yeq(X1)*sqrt(1+dCC1+CCX);}
if(fabs(dCC2)<dCCX) { *Xf=X2; return Yeq(X2)*sqrt(1+dCC2+CCX);}
X=(X1*dCC2 - X2*dCC1)/(dCC2-dCC1);
MassCut=M*(2-log(Beps)/X);
termod(M/X,&sqrt_gStar,NULL);
d=0.01*X; dYdX= (Yeq(X+d)-Yeq(X-d))/(2*d);
Yeq0X=Yeq(X)/X;
vSigma= (vSigma1*(X2-X) - vSigma2*(X1-X))/(X2-X1);
dCC=-CCX-dYdX/(vSigma*cFactor*sqrt_gStar*Yeq0X*Yeq0X);
if(dCC*dCC1>0) {dCC1=dCC;X1=X;vSigma1=vSigma;} else {dCC2=dCC;X2=X;vSigma2=vSigma;}
}
}
