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bem_Cij_cog.c
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Tue, Jan 7, 21:21

bem_Cij_cog.c
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/*
Input : XYZva, ind_tra, XYZvb, ind_trb, weight, defl
Output : Cij_cog
weight = (sig[0]-sig[1])/((sig[2]+sig[3])*2.*pi) ;
*/
#include <math.h>
#include "mex.h"
void sol_angle(double *dO, double *r1, double *r2, double *r3)
{
double det, d1, d2, d3, den ;
det=r1[0]*r2[1]*r3[2]+r2[0]*r3[1]*r1[2]+r3[0]*r1[1]*r2[2]
-(r1[2]*r2[1]*r3[0]+r1[1]*r2[0]*r3[2]+r1[0]*r2[2]*r3[1]) ;
d1=sqrt(r1[0]*r1[0]+r1[1]*r1[1]+r1[2]*r1[2]) ;
d2=sqrt(r2[0]*r2[0]+r2[1]*r2[1]+r2[2]*r2[2]) ;
d3=sqrt(r3[0]*r3[0]+r3[1]*r3[1]+r3[2]*r3[2]) ;
den=d1*d2*d3+(r1[0]*r2[0]+r1[1]*r2[1]+r1[2]*r2[2])*d3
+(r1[0]*r3[0]+r1[1]*r3[1]+r1[2]*r3[2])*d2
+(r2[0]*r3[0]+r2[1]*r3[1]+r2[2]*r3[2])*d1 ;
*dO=2.*atan2(det,den) ;
}
void Cij(double C[], double XYZva[], int Nverta,
double ind_tra[], int Ntria, double XYZvb[], int Nvertb,
double ind_trb[], int Ntrib, double weight, double defl)
{
double dO ;
double si[3] ;
double r1[3], r2[3], r3[3], det, den, d1, d2, d3 ;
int i, j, u, v, w ;
/*printf("Ntria = %d\n",Ntria);*/
/*printf("Ntrib = %d\n",Ntrib);*/
for (i=0;i<Ntria;++i) {
u=ind_tra[i] - 1 ;
v=ind_tra[i+Ntria] - 1 ;
w=ind_tra[i+2*Ntria] - 1 ;
si[0]=(XYZva[u] + XYZva[v] + XYZva[w]) / 3 ;
si[1]=(XYZva[u+Nverta] + XYZva[v+Nverta] + XYZva[w+Nverta])/3 ;
si[2]=(XYZva[u+2*Nverta] + XYZva[v+2*Nverta] +
XYZva[w+2*Nverta]) / 3 ;
for (j=0;j<Ntrib;++j) {
u=ind_trb[j] - 1 ;
v=ind_trb[j+Ntrib] - 1 ;
w=ind_trb[j+2*Ntrib] - 1 ;
r1[0]=XYZvb[u]-si[0]; r1[1]=XYZvb[u+Nvertb]-si[1];
r1[2]=XYZvb[u+2*Nvertb]-si[2];
r2[0]=XYZvb[v]-si[0]; r2[1]=XYZvb[v+Nvertb]-si[1];
r2[2]=XYZvb[v+2*Nvertb]-si[2];
r3[0]=XYZvb[w]-si[0]; r3[1]=XYZvb[w+Nvertb]-si[1];
r3[2]=XYZvb[w+2*Nvertb]-si[2];
sol_angle(&dO,r1,r2,r3) ;
C[i+j*Ntria] = dO * weight - defl ;
C[i+j*Ntria] = dO * weight - defl ;
C[i+j*Ntria] = dO * weight - defl ;
}
}
}
/****************************************************************************/
void mexFunction(
int nlhs, mxArray *plhs[],
int nrhs, const mxArray *prhs[])
{
double *C ;
double *XYZva, *ind_tra, *XYZvb, *ind_trb, weight, defl ;
unsigned int mXYZva, nXYZva, minda, ninda ;
unsigned int mXYZvb, nXYZvb, mindb, nindb ;
if (nrhs!=6) {
mexErrMsgTxt("6 Inputs : XYZva, ind_tra, XYZvb, ind_trb, weight, defl") ;
} else if (nlhs>1) {
mexErrMsgTxt("1 Outputs : Cij_cog") ;
}
mXYZva=mxGetM(prhs[0]) ;
nXYZva=mxGetN(prhs[0]) ;
if (!mxIsNumeric(prhs[0]) || mxIsComplex(prhs[0])
|| mxIsSparse(prhs[0]) || (nXYZva!=3)) {
mexErrMsgTxt("XYZva must be a matrix : Nverta x 3") ;
}
minda=mxGetM(prhs[1]) ;
ninda=mxGetN(prhs[1]) ;
if (!mxIsNumeric(prhs[1]) || mxIsComplex(prhs[1])
|| mxIsSparse(prhs[1]) || !(ninda==3)) {
mexErrMsgTxt("ind_tra must be a matrix : Ntria x 3") ;
}
mXYZvb=mxGetM(prhs[2]) ;
nXYZvb=mxGetN(prhs[2]) ;
if (!mxIsNumeric(prhs[2]) || mxIsComplex(prhs[2])
|| mxIsSparse(prhs[2]) || (nXYZvb!=3)) {
mexErrMsgTxt("XYZvb must be a matrix : Nvertb") ;
}
mindb=mxGetM(prhs[3]) ;
nindb=mxGetN(prhs[3]) ;
if (!mxIsNumeric(prhs[3]) || mxIsComplex(prhs[3])
|| mxIsSparse(prhs[3]) || !(nindb==3)) {
mexErrMsgTxt("ind_trb must be a matrix : Ntrib x 3") ;
}
if (!mxIsNumeric(prhs[4]) || mxIsComplex(prhs[4])
|| mxIsSparse(prhs[4]) || !mxIsDouble(prhs[4])
|| mxGetN(prhs[4])*mxGetM(prhs[4])!=1 ) {
mexErrMsgTxt("weight must be a scalar") ;
}
if (!mxIsNumeric(prhs[5]) || mxIsComplex(prhs[5])
|| mxIsSparse(prhs[5]) || !mxIsDouble(prhs[5])
|| mxGetN(prhs[5])*mxGetM(prhs[5])!=1 ) {
mexErrMsgTxt("defl must be a scalar") ;
}
plhs[0]=mxCreateDoubleMatrix(minda,mindb,mxREAL) ;
C=mxGetPr(plhs[0]) ;
XYZva=mxGetPr(prhs[0]) ;
ind_tra=mxGetPr(prhs[1]) ;
XYZvb=mxGetPr(prhs[2]) ;
ind_trb=mxGetPr(prhs[3]) ;
weight = mxGetScalar(prhs[4]) ;
defl = mxGetScalar(prhs[5]) ;
Cij(C,XYZva,mXYZva,ind_tra,minda,
XYZvb,mXYZvb,ind_trb,mindb,weight,defl);
mxSetPr(plhs[0],C) ;
}

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