int main()
{
double **Fmunu;
double *x0, *x1, *zr1, *zr0, *zi1, *zi0, *p1, *p0;
double *x2, *x3, *zr2, *zr3, *zi2, *zi3, *p2, *p3;
double *xdot, *zrdot, *zidot, *pdot;
double *xdot1, *zrdot1, *zidot1, *pdot1;
double *xdot2, *zrdot2, *zidot2, *pdot2;
double *xdot3, *zrdot3, *zidot3, *pdot3;
double alpha, beta,t=0., H=0.,dt=dt0,v0, theta[7];
char name[400];
int i=0;
FILE *IfPtr;
sprintf(name,"CE_trajectory_RK_%d_.dat",run_name);
if ( ( IfPtr = fopen( name, "w" ) ) == NULL )
printf( "File could not be opened. %s\n",name);
Fmunu=allocate_2(4,4);
x0=allocate_1(4);
x1=allocate_1(4);
x2=allocate_1(4);
x3=allocate_1(4);
zr0=allocate_1(4);
zr1=allocate_1(4);
zr2=allocate_1(4);
zr3=allocate_1(4);
zi0=allocate_1(4);
zi1=allocate_1(4);
zi2=allocate_1(4);
zi3=allocate_1(4);
p0=allocate_1(4);
p1=allocate_1(4);
p2=allocate_1(4);
p3=allocate_1(4);
xdot=allocate_1(4);
xdot1=allocate_1(4);
xdot2=allocate_1(4);
xdot3=allocate_1(4);
zrdot=allocate_1(4);
zrdot1=allocate_1(4);
zrdot2=allocate_1(4);
zrdot3=allocate_1(4);
zidot=allocate_1(4);
zidot1=allocate_1(4);
zidot2=allocate_1(4);
zidot3=allocate_1(4);
pdot=allocate_1(4);
pdot1=allocate_1(4);
pdot2=allocate_1(4);
pdot3=allocate_1(4);
//Initialize EM filed and charge state.
ConstantEB(Fmunu);
x0[0]=0.;
x0[1]=0.;
x0[2]=0.;
x0[3]=0.;
theta[0]=0.25*M_PI;
theta[1]=0.25*M_PI;
theta[2]=0.5*M_PI;
theta[3]=0.5*M_PI;
theta[4]=0.5*M_PI;
theta[5]=0.25*M_PI;
theta[6]=0.*M_PI;
/**
zr0[0]=cos(theta[0])*cos(theta[1]);
zr0[1]=cos(theta[0])*sin(theta[1])*cos(theta[2]);
zr0[2]=cos(theta[0])*sin(theta[1])*sin(theta[2])*cos(theta[3]);
zr0[3]=cos(theta[0])*sin(theta[1])*sin(theta[2])*sin(theta[3]);
zi0[0]=sin(theta[0])*cos(theta[4]);
zi0[1]=sin(theta[0])*sin(theta[4])*cos(theta[5]);
zi0[2]=sin(theta[0])*sin(theta[4])*sin(theta[5])*cos(theta[6]);
zi0[3]=sin(theta[0])*sin(theta[4])*sin(theta[5])*sin(theta[6]);
/**/
zr0[0]=1.;
zr0[1]=0.;
zr0[2]=0.;
zr0[3]=-zr0[0];
theta[0]=-1.*M_PI;
zi0[0]=0.;
zi0[1]=0.*cos(theta[0]);
zi0[2]=0.*sin(theta[0]);
zi0[3]=0.;
/**/
alpha=1.*0.5*M_PI;
beta=0.*2.*M_PI;
p0[0]=0.;
p0[1]=p0[0]*cos(alpha);
p0[2]=p0[0]*sin(alpha)*sin(beta);
p0[3]=p0[0]*sin(alpha)*cos(beta);
p0[0]=sqrt(1.+p0[1]*p0[1]+p0[2]*p0[2]+p0[3]*p0[3]);
while(t<T && p0[0]*p0[0]-p0[1]*p0[1]-p0[2]*p0[2]-p0[3]*p0[3]>-0.1){
assingAtoB(zr0,zr1);
assingAtoB(zi0,zi1);
assingAtoB(p0,p1);
assingAtoB(x0,x1);
assingAtoB(zr0,zr2);
assingAtoB(zi0,zi2);
assingAtoB(p0,p2);
assingAtoB(x0,x2);
assingAtoB(zr0,zr3);
assingAtoB(zi0,zi3);
assingAtoB(p0,p3);
assingAtoB(x0,x3);
XDOT(zr0,zi0,xdot);
ZDOT(zr0,zi0,p0,zrdot,zidot);/**
OneOverr2E(Fmunu,x0);/**/
PDOT(Fmunu,xdot,pdot);
v0=sqrt(xdot[1]*xdot[1]+xdot[2]*xdot[2]+xdot[3]*xdot[3]);
// if(v0*dt>1.e-3)
// dt=1.e-3/v0;
// else dt=dt0;
H=-p0[0]*xdot[0]+p0[1]*xdot[1]+p0[2]*xdot[2]+p0[3]*xdot[3];
alpha=zr0[0]*zr0[0]+zr0[1]*zr0[1]-zr0[2]*zr0[2]-zr0[3]*zr0[3];
alpha+=zi0[0]*zi0[0]+zi0[1]*zi0[1]-zi0[2]*zi0[2]-zi0[3]*zi0[3];
if(i%20==0){
fprintf(IfPtr,"%e %e %e %e %e %e %e %e %e %e %e %e %e %e %e %e %e %e %e %e %e %e %e\n",t,H,x0[0],x0[1],x0[2],x0[3],p0[0],p0[1],p0[2],p0[3],zr0[0],zr0[1],zr0[2],zr0[3],zi0[0],zi0[1],zi0[2],zi0[3],xdot[0],xdot[1],xdot[2],xdot[3],alpha);
printf("%e %e %e %e %e\n",t,x0[0],x0[1],x0[2],x0[3]);
}
/**/
x1[0]+=0.5*dt*xdot[0];
x1[1]+=0.5*dt*xdot[1];
x1[2]+=0.5*dt*xdot[2];
x1[3]+=0.5*dt*xdot[3];
zr1[0]+=0.5*dt*zrdot[0];
zr1[1]+=0.5*dt*zrdot[1];
zr1[2]+=0.5*dt*zrdot[2];
zr1[3]+=0.5*dt*zrdot[3];
zi1[0]+=0.5*dt*zidot[0];
zi1[1]+=0.5*dt*zidot[1];
zi1[2]+=0.5*dt*zidot[2];
zi1[3]+=0.5*dt*zidot[3];
p1[0]+=0.5*dt*pdot[0];
p1[1]+=0.5*dt*pdot[1];
p1[2]+=0.5*dt*pdot[2];
p1[3]+=0.5*dt*pdot[3];
XDOT(zr1,zi1,xdot1);
ZDOT(zr1,zi1,p1,zrdot1,zidot1);/**
OneOverr2E(Fmunu,x1);/**/
PDOT(Fmunu,xdot1,pdot1);
x2[0]+=0.5*dt*xdot1[0];
x2[1]+=0.5*dt*xdot1[1];
x2[2]+=0.5*dt*xdot1[2];
x2[3]+=0.5*dt*xdot1[3];
zr2[0]+=0.5*dt*zrdot1[0];
zr2[1]+=0.5*dt*zrdot1[1];
zr2[2]+=0.5*dt*zrdot1[2];
zr2[3]+=0.5*dt*zrdot1[3];
zi2[0]+=0.5*dt*zidot1[0];
zi2[1]+=0.5*dt*zidot1[1];
zi2[2]+=0.5*dt*zidot1[2];
zi2[3]+=0.5*dt*zidot1[3];
p2[0]+=0.5*dt*pdot1[0];
p2[1]+=0.5*dt*pdot1[1];
p2[2]+=0.5*dt*pdot1[2];
p2[3]+=0.5*dt*pdot1[3];
XDOT(zr2,zi2,xdot2);
ZDOT(zr2,zi2,p2,zrdot2,zidot2);/**
OneOverr2E(Fmunu,x2);/**/
PDOT(Fmunu,xdot2,pdot2);
x3[0]+=dt*xdot2[0];
x3[1]+=dt*xdot2[1];
x3[2]+=dt*xdot2[2];
x3[3]+=dt*xdot2[3];
zr3[0]+=dt*zrdot2[0];
zr3[1]+=dt*zrdot2[1];
zr3[2]+=dt*zrdot2[2];
zr3[3]+=dt*zrdot2[3];
zi3[0]+=dt*zidot2[0];
zi3[1]+=dt*zidot2[1];
zi3[2]+=dt*zidot2[2];
zi3[3]+=dt*zidot2[3];
p3[0]+=dt*pdot2[0];
p3[1]+=dt*pdot2[1];
p3[2]+=dt*pdot2[2];
p3[3]+=dt*pdot2[3];
XDOT(zr3,zi3,xdot3);
ZDOT(zr3,zi3,p3,zrdot3,zidot3);/**
OneOverr2E(Fmunu,x3);/**/
PDOT(Fmunu,xdot3,pdot3);
/**/
x0[0]+=dt*(xdot[0]+2.*xdot1[0]+2.*xdot2[0]+xdot3[0])/6.;
x0[1]+=dt*(xdot[1]+2.*xdot1[1]+2.*xdot2[1]+xdot3[1])/6.;
x0[2]+=dt*(xdot[2]+2.*xdot1[2]+2.*xdot2[2]+xdot3[2])/6.;
x0[3]+=dt*(xdot[3]+2.*xdot1[3]+2.*xdot2[3]+xdot3[3])/6.;
zr0[0]+=dt*(zrdot[0]+2.*zrdot1[0]+2.*zrdot2[0]+zrdot3[0])/6.;
zr0[1]+=dt*(zrdot[1]+2.*zrdot1[1]+2.*zrdot2[1]+zrdot3[1])/6.;
zr0[2]+=dt*(zrdot[2]+2.*zrdot1[2]+2.*zrdot2[2]+zrdot3[2])/6.;
zr0[3]+=dt*(zrdot[3]+2.*zrdot1[3]+2.*zrdot2[3]+zrdot3[3])/6.;
zi0[0]+=dt*(zidot[0]+2.*zidot1[0]+2.*zidot2[0]+zidot3[0])/6.;
zi0[1]+=dt*(zidot[1]+2.*zidot1[1]+2.*zidot2[1]+zidot3[1])/6.;
zi0[2]+=dt*(zidot[2]+2.*zidot1[2]+2.*zidot2[2]+zidot3[2])/6.;
zi0[3]+=dt*(zidot[3]+2.*zidot1[3]+2.*zidot2[3]+zidot3[3])/6.;
p0[0]+=dt*(pdot[0]+2.*pdot1[0]+2.*pdot2[0]+pdot3[0])/6.;
p0[1]+=dt*(pdot[1]+2.*pdot1[1]+2.*pdot2[1]+pdot3[1])/6.;
p0[2]+=dt*(pdot[2]+2.*pdot1[2]+2.*pdot2[2]+pdot3[2])/6.;
p0[3]+=dt*(pdot[3]+2.*pdot1[3]+2.*pdot2[3]+pdot3[3])/6.;
t+=dt;
i++;
}
freemn(Fmunu,4);
free(Fmunu);
free(x0);
free(x1);
free(x2);
free(x3);
free(zr0);
free(zr1);
free(zr2);
free(zr3);
free(zi0);
free(zi1);
free(zi2);
free(zi3);
free(p0);
free(p1);
free(p2);
free(p3);
free(xdot);
free(xdot1);
free(xdot2);
free(xdot3);
free(pdot);
free(pdot1);
free(pdot2);
free(pdot3);
free(zrdot);
free(zrdot1);
free(zrdot2);
free(zrdot3);
free(zidot);
free(zidot1);
free(zidot2);
free(zidot3);
fclose(IfPtr);
return 0;
}
void CNAME(BLASLONG m, BLASLONG n, BLASLONG ku, BLASLONG kl, FLOAT alpha_r, FLOAT alpha_i,
FLOAT *a, BLASLONG lda,
FLOAT *x, BLASLONG incx, FLOAT *y, BLASLONG incy, void *buffer){
BLASLONG i, offset_u, offset_l, start, end, length;
FLOAT *X = x;
FLOAT *Y = y;
FLOAT *gemvbuffer = (FLOAT *)buffer;
FLOAT *bufferY = gemvbuffer;
FLOAT *bufferX = gemvbuffer;
#ifdef TRANS
FLOAT _Complex temp;
#endif
if (incy != 1) {
Y = bufferY;
bufferX = (FLOAT *)(((BLASLONG)bufferY + M * sizeof(FLOAT) * 2 + 4095) & ~4095);
gemvbuffer = bufferX;
COPY_K(M, y, incy, Y, 1);
}
if (incx != 1) {
X = bufferX;
gemvbuffer = (FLOAT *)(((BLASLONG)bufferX + N * sizeof(FLOAT) * 2 + 4095) & ~4095);
COPY_K(N, x, incx, X, 1);
}
offset_u = ku;
offset_l = ku + m;
for (i = 0; i < MIN(n, m + ku); i++) {
start = MAX(offset_u, 0);
end = MIN(offset_l, ku + kl + 1);
length = end - start;
#ifndef TRANS
ZAXPY(length, 0, 0,
#ifndef XCONJ
alpha_r * X[i * 2 + 0] - alpha_i * X[i * 2 + 1],
alpha_i * X[i * 2 + 0] + alpha_r * X[i * 2 + 1],
#else
alpha_r * X[i * 2 + 0] + alpha_i * X[i * 2 + 1],
alpha_i * X[i * 2 + 0] - alpha_r * X[i * 2 + 1],
#endif
a + start * 2, 1, Y + (start - offset_u) * 2, 1, NULL, 0);
#else
#ifndef XCONJ
temp = ZDOT(length, a + start * 2, 1, X + (start - offset_u) * 2, 1);
#else
temp = ZDOT(length, X + (start - offset_u) * 2, 1, a + start * 2, 1);
#endif
#if !defined(XCONJ) || !defined(CONJ)
Y[i * 2 + 0] += alpha_r * CREAL(temp) - alpha_i * CIMAG(temp);
Y[i * 2 + 1] += alpha_i * CREAL(temp) + alpha_r * CIMAG(temp);
#else
Y[i * 2 + 0] += alpha_r * CREAL(temp) + alpha_i * CIMAG(temp);
Y[i * 2 + 1] += alpha_i * CREAL(temp) - alpha_r * CIMAG(temp);
#endif
#endif
offset_u --;
offset_l --;
a += lda * 2;
}
if (incy != 1) {
COPY_K(M, Y, 1, y, incy);
}
return;
}