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calculate_lcurve.c
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calculate_lcurve.c
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#include"utils.h"
#include"globals.h"
double phase_function(double *E,double *E0,double *params,double *dpdp);
void calculate_lcurve(int *tlist,double *vlist,int numfac,int numvert,double *angles,double *Eo,double *E0o,int nE,double *TIME,double *bright,double *dbrightx,double *dbrighty,double *dbrightz,double *dbrightb,double *dbrightl,double *dbrighto,double *dbrightp,double *A,double *Alimit,double *dA,int rel,double *params)
{
double *normal,*centroid,*E,*E0;
double phase,dphase[3];
double la=0;
double ha=1; /*These are the albedo limits*/
double alb_term=0;
double *dSx,*dSy,*dSz;
int albedo=0;
normal=malloc(numfac*3*sizeof(double));
double dAlb3[3];
E=malloc(3*nE*sizeof(double));
E0=malloc(3*nE*sizeof(double));
double M[3][3],dMb[3][3],dMo[3][3],dMl[3][3];
double vect[3];
double alb=0;
double *dSdalb=NULL;
double albexp;
if(A!=NULL)
{
albedo=1;
dSdalb=calloc(nE*numvert,sizeof(double));
la=Alimit[0];
ha=Alimit[1];
}
int *visiblel;
double beta,lambda,omega;
double mu,mu0;
double *tb;
double c=0.1;
double In,dIx1,dIx2,dIx3,dIy1,dIy2,dIy3,dIz1,dIz2,dIz3;
double x1,y1,z1,x2,y2,z2,x3,y3,z3;
double v1[3],v2[3],v3[3],cv[3],normc,Scatt;
double dir[3],dir0[3],n[3];
double dcx1[3],dcx2[3],dcx3[3],dcy1[3],dcy2[3],dcy3[3],dcz1[3],dcz2[3],dcz3[3];
double dmux1,dmux2,dmux3,dmuy1,dmuy2,dmuy3,dmuz1,dmuz2,dmuz3;
double dmu0x1,dmu0x2,dmu0x3,dmu0y1,dmu0y2,dmu0y3,dmu0z1,dmu0z2,dmu0z3;
double *area;
double *dareax,*dareay,*dareaz;
dareax=calloc(numfac*3,sizeof(double));
dareay=calloc(numfac*3,sizeof(double));
dareaz=calloc(numfac*3,sizeof(double));
double dnx1[3],dnx2[3],dnx3[3],dny1[3],dny2[3],dny3[3],dnz1[3],dnz2[3],dnz3[3];
double dAx1,dAx2,dAx3,dAy1,dAy2,dAy3,dAz1,dAz2,dAz3;
double dt1,dt2;
int vert1,vert2,vert3;
dSx=calloc(nE*numvert,sizeof(double));
dSy=calloc(nE*numvert,sizeof(double));
dSz=calloc(nE*numvert,sizeof(double));
double dub,dul,duo,du0b,du0l,du0o;
double *dBb,*dBl,*dBo;
dBb=calloc(nE,sizeof(double));
dBl=calloc(nE,sizeof(double));
dBo=calloc(nE,sizeof(double));
double sumbright=0;
double suma,sumb,sumc;
double *dnormalx1,*dnormalx2,*dnormalx3;
double *dnormaly1,*dnormaly2,*dnormaly3;
double *dnormalz1,*dnormalz2,*dnormalz3;
dnormalx1=calloc(numfac*3,sizeof(double));
dnormalx2=calloc(numfac*3,sizeof(double));
dnormalx3=calloc(numfac*3,sizeof(double));
dnormaly1=calloc(numfac*3,sizeof(double));
dnormaly2=calloc(numfac*3,sizeof(double));
dnormaly3=calloc(numfac*3,sizeof(double));
dnormalz1=calloc(numfac*3,sizeof(double));
dnormalz2=calloc(numfac*3,sizeof(double));
dnormalz3=calloc(numfac*3,sizeof(double));
area=calloc(numfac,sizeof(double));
tb=calloc(nE,sizeof(double));
visiblel=calloc(nE*numfac,sizeof(int));
double omega0;
beta=angles[0];
lambda=angles[1];
omega=angles[2];
omega0=angles[3];
/*Rotate view and ill vectors*/
for(int j=0;j<nE;j++)
{
rotate(beta,lambda,omega,omega0,TIME[j],M,dMb,dMl,dMo);
mult_vector(M,&(Eo[3*j]),&(E[3*j]));
mult_vector(M,&(E0o[3*j]),&(E0[3*j]));
}
FindActualBlockers(tlist,vlist,numfac,numvert,E,E0,nE,visiblel);
int vr1,vr2,vr3;
/*Calculate area and derivatives*/
for(int j=0;j<numfac;j++)
{
vr1=tlist[3*j]-1;
vr2=tlist[3*j+1]-1;
vr3=tlist[3*j+2]-1;
x1=vlist[3*vr1];
y1=vlist[3*vr1+1];
z1=vlist[3*vr1+2];
x2=vlist[3*vr2];
y2=vlist[3*vr2+1];
z2=vlist[3*vr2+2];
x3=vlist[3*vr3];
y3=vlist[3*vr3+1];
z3=vlist[3*vr3+2];
v1[0]=x2-x1;
v1[1]=y2-y1;
v1[2]=z2-z1;
v2[0]=x3-x1;
v2[1]=y3-y1;
v2[2]=z3-z1;
cross(v1,v2,cv);
normc=NORM(cv);
normal[3*j+0]=cv[0]/normc;
normal[3*j+1]=cv[1]/normc;
normal[3*j+2]=cv[2]/normc;
dcx1[0]=0;
dcx1[1]=z3-z2;
dcx1[2]=y2-y3;
dcx2[0]=0;
dcx2[1]=z1-z3;
dcx2[2]=y3-y1;
dcx3[0]=0;
dcx3[1]=z2-z1;
dcx3[2]=y1-y2;
dcy1[0]=z2-z3;
dcy1[1]=0;
dcy1[2]=x3-x2;
dcy2[0]=z3-z1;
dcy2[1]=0;
dcy2[2]=x1-x3;
dcy3[0]=z1-z2;
dcy3[1]=0;
dcy3[2]=x2-x1;
dcz1[0]=y3-y2;
dcz1[1]=x2-x3;
dcz1[2]=0;
dcz2[0]=y1-y3;
dcz2[1]=x3-x1;
dcz2[2]=0;
dcz3[0]=y2-y1;
dcz3[1]=x1-x2;
dcz3[2]=0;
dareax[3*j+0]=1/(2*normc)*(cv[0]*dcx1[0]+cv[1]*dcx1[1]+cv[2]*dcx1[2]);
dareax[3*j+1]=1/(2*normc)*(cv[0]*dcx2[0]+cv[1]*dcx2[1]+cv[2]*dcx2[2]);
dareax[3*j+2]=1/(2*normc)*(cv[0]*dcx3[0]+cv[1]*dcx3[1]+cv[2]*dcx3[2]);
dareay[3*j+0]=1/(2*normc)*(cv[0]*dcy1[0]+cv[1]*dcy1[1]+cv[2]*dcy1[2]);
dareay[3*j+1]=1/(2*normc)*(cv[0]*dcy2[0]+cv[1]*dcy2[1]+cv[2]*dcy2[2]);
dareay[3*j+2]=1/(2*normc)*(cv[0]*dcy3[0]+cv[1]*dcy3[1]+cv[2]*dcy3[2]);
dareaz[3*j+0]=1/(2*normc)*(cv[0]*dcz1[0]+cv[1]*dcz1[1]+cv[2]*dcz1[2]);
dareaz[3*j+1]=1/(2*normc)*(cv[0]*dcz2[0]+cv[1]*dcz2[1]+cv[2]*dcz2[2]);
dareaz[3*j+2]=1/(2*normc)*(cv[0]*dcz3[0]+cv[1]*dcz3[1]+cv[2]*dcz3[2]);
area[j]=0.5*normc;
for(int jk=0;jk<3;jk++)
{
dnormalx1[3*j+jk]=(normc*dcx1[jk]-cv[jk]*2*dareax[3*j+0])/(normc*normc);
dnormalx2[3*j+jk]=(normc*dcx2[jk]-cv[jk]*2*dareax[3*j+1])/(normc*normc);
dnormalx3[3*j+jk]=(normc*dcx3[jk]-cv[jk]*2*dareax[3*j+2])/(normc*normc);
dnormaly1[3*j+jk]=(normc*dcy1[jk]-cv[jk]*2*dareay[3*j+0])/(normc*normc);
dnormaly2[3*j+jk]=(normc*dcy2[jk]-cv[jk]*2*dareay[3*j+1])/(normc*normc);
dnormaly3[3*j+jk]=(normc*dcy3[jk]-cv[jk]*2*dareay[3*j+2])/(normc*normc);
dnormalz1[3*j+jk]=(normc*dcz1[jk]-cv[jk]*2*dareaz[3*j+0])/(normc*normc);
dnormalz2[3*j+jk]=(normc*dcz2[jk]-cv[jk]*2*dareaz[3*j+1])/(normc*normc);
dnormalz3[3*j+jk]=(normc*dcz3[jk]-cv[jk]*2*dareaz[3*j+2])/(normc*normc);
}
}
for(int e=0;e<nE;e++)
{
for(int i=0;i<3;i++)
{
dir[i]=E[3*e+i];
dir0[i]=E0[3*e+i];
}
rotate(beta,lambda,omega,omega0,TIME[e],M,dMb,dMl,dMo);
for(int j=0;j<numfac;j++)
{
if(visiblel[e*numfac+j]==0) /*Not visible, skip*/
continue;
for(int i=0;i<3;i++)
{
n[i]=normal[3*j+i];
dnx1[i]=dnormalx1[3*j+i];
dnx2[i]=dnormalx2[3*j+i];
dnx3[i]=dnormalx3[3*j+i];
dny1[i]=dnormaly1[3*j+i];
dny2[i]=dnormaly2[3*j+i];
dny3[i]=dnormaly3[3*j+i];
dnz1[i]=dnormalz1[3*j+i];
dnz2[i]=dnormalz2[3*j+i];
dnz3[i]=dnormalz3[3*j+i];
}
vr1=tlist[3*j]-1; /*LAST MODIFICATION HERE*/
vr2=tlist[3*j+1]-1;
vr3=tlist[3*j+2]-1;
x1=vlist[3*vr1+0];
y1=vlist[3*vr1+1];
z1=vlist[3*vr1+2];
x2=vlist[3*vr2+0];
y2=vlist[3*vr2+1];
z2=vlist[3*vr2+2];
x3=vlist[3*vr3+0];
y3=vlist[3*vr3+1];
z3=vlist[3*vr3+2];
dAx1=dareax[3*j+0];
dAx2=dareax[3*j+1];
dAx3=dareax[3*j+2];
dAy1=dareay[3*j+0];
dAy2=dareay[3*j+1];
dAy3=dareay[3*j+2];
dAz1=dareaz[3*j+0];
dAz2=dareaz[3*j+1];
dAz3=dareaz[3*j+2];
dmux1=DOT(dnx1,dir);
dmux2=DOT(dnx2,dir);
dmux3=DOT(dnx3,dir);
dmuy1=DOT(dny1,dir);
dmuy2=DOT(dny2,dir);
dmuy3=DOT(dny3,dir);
dmuz1=DOT(dnz1,dir);
dmuz2=DOT(dnz2,dir);
dmuz3=DOT(dnz3,dir);
dmu0x1=DOT(dnx1,dir0);
dmu0x2=DOT(dnx2,dir0);
dmu0x3=DOT(dnx3,dir0);
dmu0y1=DOT(dny1,dir0);
dmu0y2=DOT(dny2,dir0);
dmu0y3=DOT(dny3,dir0);
dmu0z1=DOT(dnz1,dir0);
dmu0z2=DOT(dnz2,dir0);
dmu0z3=DOT(dnz3,dir0);
vert1=tlist[3*j]-1;
vert2=tlist[3*j+1]-1;
vert3=tlist[3*j+2]-1;
mu=DOT(dir,n);
mu0=DOT(dir0,n);
/*Brightness*/
//Phase parameters are not NULL, so use them
if(params!=NULL)
{
phase=phase_function(dir,dir0,params,dphase);
}
else
phase=1;
//Scattering Law?
if(INI_HAPKE!=NULL)
dhapke_bright(dir,dir0,mu,mu0,INI_HAPKE,INI_HAPKE[4],&Scatt,&dt2,&dt1); //Use Hapke
else
Scatt=mu*mu0*(1.0/(mu+mu0)+c); //Use LSL
//Variable albedo?
if(albedo==0)
{
alb=0;
alb_term=1;
}
else
{
//alb=Albedo_Term(tlist,vlist,numfac,numvert,Alimit,Alb,j,dAlb3);
alb_term=Albedo_Term(tlist,vlist,numfac,numvert,Alimit,A,j,dAlb3);
dSdalb[e*numvert+vert1]=phase*dAlb3[0]*Scatt*area[j];
dSdalb[e*numvert+vert2]=phase*dAlb3[1]*Scatt*area[j];
dSdalb[e*numvert+vert3]=phase*dAlb3[2]*Scatt*area[j];
}
In=alb_term*Scatt;
tb[e]=tb[e]+phase*In*area[j];
//printf("Facet %d: alb_term: %f Area: %f mu: %f mu0: %f phase: %f Total: %f\n",j+1,alb_term,area[j],mu,mu0,phase,phase*In*area[j]);
//Derivatives wrt phase params
if(params!=NULL)
{
dbrightp[e*3]=dbrightp[e*3]+dphase[0]*In*area[j];
dbrightp[e*3+1]=dbrightp[e*3+1]+dphase[1]*In*area[j];
dbrightp[e*3+2]=dbrightp[e*3+2]+dphase[2]*In*area[j];
//dbrightp[e*4+3]=dbrightp[e*4+3]+In*area[j]*exp(params[3]);
}
//If not HAPKE, then calculate derivates of LSL wrt mu,mu0
if(INI_HAPKE==NULL)
{
dt1=phase*alb_term*(pow(mu/(mu+mu0),2)+c*mu);
dt2=phase*alb_term*(pow(mu0/(mu+mu0),2)+c*mu0);
}
dIx1=dt1*dmu0x1+dt2*dmux1;
dIx2=dt1*dmu0x2+dt2*dmux2;
dIx3=dt1*dmu0x3+dt2*dmux3;
dIy1=dt1*dmu0y1+dt2*dmuy1;
dIy2=dt1*dmu0y2+dt2*dmuy2;
dIy3=dt1*dmu0y3+dt2*dmuy3;
dIz1=dt1*dmu0z1+dt2*dmuz1;
dIz2=dt1*dmu0z2+dt2*dmuz2;
dIz3=dt1*dmu0z3+dt2*dmuz3;
//Derivative wrt vertices
dSx[e*numvert+vert1]=dSx[e*numvert+vert1]+phase*In*dAx1+dIx1*area[j];
dSx[e*numvert+vert2]=dSx[e*numvert+vert2]+phase*In*dAx2+dIx2*area[j];
dSx[e*numvert+vert3]=dSx[e*numvert+vert3]+phase*In*dAx3+dIx3*area[j];
dSy[e*numvert+vert1]=dSy[e*numvert+vert1]+phase*In*dAy1+dIy1*area[j];
dSy[e*numvert+vert2]=dSy[e*numvert+vert2]+phase*In*dAy2+dIy2*area[j];
dSy[e*numvert+vert3]=dSy[e*numvert+vert3]+phase*In*dAy3+dIy3*area[j];
dSz[e*numvert+vert1]=dSz[e*numvert+vert1]+phase*In*dAz1+dIz1*area[j];
dSz[e*numvert+vert2]=dSz[e*numvert+vert2]+phase*In*dAz2+dIz2*area[j];
dSz[e*numvert+vert3]=dSz[e*numvert+vert3]+phase*In*dAz3+dIz3*area[j];
mult_vector(dMb,&(Eo[3*e]),vect);
dub=DOT(vect,n);
mult_vector(dMl,&(Eo[3*e]),vect);
dul=DOT(vect,n);
mult_vector(dMo,&(Eo[3*e]),vect);
duo=DOT(vect,n);
mult_vector(dMb,&(E0o[3*e]),vect);
du0b=DOT(vect,n);
mult_vector(dMl,&(E0o[3*e]),vect);
du0l=DOT(vect,n);
mult_vector(dMo,&(E0o[3*e]),vect);
du0o=DOT(vect,n);
dBb[e]=dBb[e]+area[j]*(dt1*du0b+dt2*dub);
dBl[e]=dBl[e]+area[j]*(dt1*du0l+dt2*dul);
dBo[e]=dBo[e]+area[j]*(dt1*du0o+dt2*duo);
} /*End of j, numfac*/
} /*End of e, nE*/
double sum_paramc=0;
double sum_param0=0,sum_param2=0,sum_param1=0;
double sumbright2=0;
sumbright=sum_vector(tb,nE);
sumbright2=pow(sumbright,2);
if(rel!=0)
{
double sbeta=0,slambda=0,somega=0;
for(int j=0;j<nE;j++)
{
bright[j]=nE*tb[j]/sumbright;
sbeta=sbeta+dBb[j];
slambda=slambda+dBl[j];
somega=somega+dBo[j];
sum_param0+=dbrightp[j*3];
sum_param1+=dbrightp[j*3+1];
sum_param2+=dbrightp[j*3+2];
//sum_paramc+=dbrightp[j*4+3];
}
for(int sh_index=0;sh_index<numvert;sh_index++)
{
suma=0;
sumb=0;
sumc=0;
for(int k=0;k<nE;k++)
{
suma=suma+dSx[k*numvert+sh_index];
sumb=sumb+dSy[k*numvert+sh_index];
sumc=sumc+dSz[k*numvert+sh_index];
}
for(int i=0;i<nE;i++)
{
//
dbrightx[i*(numvert)+sh_index]=nE*(sumbright*dSx[i*numvert+sh_index]-tb[i]*suma)/sumbright2;
dbrighty[i*(numvert)+sh_index]=nE*(sumbright*dSy[i*numvert+sh_index]-tb[i]*sumb)/sumbright2;
dbrightz[i*(numvert)+sh_index]=nE*(sumbright*dSz[i*numvert+sh_index]-tb[i]*sumc)/sumbright2;
}
}
for(int i=0;i<nE;i++)
{
dbrightb[i]=nE*(sumbright*dBb[i]-tb[i]*sbeta)/sumbright2;
dbrightl[i]=nE*(sumbright*dBl[i]-tb[i]*slambda)/sumbright2;
dbrighto[i]=nE*(sumbright*dBo[i]-tb[i]*somega)/sumbright2;
}
if(params!=NULL)
for(int j=0;j<nE;j++)
{
dbrightp[j*3]=nE*(dbrightp[j*3]*sumbright-tb[j]*sum_param0)/sumbright2;
dbrightp[j*3+1]=nE*(dbrightp[j*3+1]*sumbright-tb[j]*sum_param1)/sumbright2;
dbrightp[j*3+2]=nE*(dbrightp[j*3+2]*sumbright-tb[j]*sum_param2)/sumbright2;
//dbrightp[j*4+3]=nE*(dbrightp[j*4+3]*sumbright-tb[j]*sum_paramc)/sumbright2;
}
if(albedo==1)
{
for(int i=0;i<numvert;i++)
{
suma=0;
for(int k=0;k<nE;k++)
suma=suma+dSdalb[k*numvert+i];
for(int h=0;h<nE;h++)
dA[h*numvert+i]=nE*(sumbright*dSdalb[h*numvert+i]-tb[h]*suma)/sumbright2;
}
}
}
else
{
memcpy(bright,tb,sizeof(double)*nE);
memcpy(dbrightx,dSx,sizeof(double)*nE*numvert);
memcpy(dbrighty,dSy,sizeof(double)*nE*numvert);
memcpy(dbrightz,dSz,sizeof(double)*nE*numvert);
memcpy(dbrightb,dBb,sizeof(double)*nE);
memcpy(dbrightl,dBl,sizeof(double)*nE);
memcpy(dbrighto,dBo,sizeof(double)*nE);
if(albedo==1)
memcpy(dA,dSdalb,sizeof(double)*numvert*nE);
}
free(dSx);
free(dSy);
free(dSz);
free(dBb);
free(dBl);
free(dBo);
free(normal);
free(E);
free(E0);
free(dareax);
free(dareay);
free(dareaz);
free(area);
free(tb);
free(dnormalx1);
free(dnormalx2);
free(dnormalx3);
free(dnormaly1);
free(dnormaly2);
free(dnormaly3);
free(dnormalz1);
free(dnormalz2);
free(dnormalz3);
free(visiblel);
free(dSdalb);
}