RosettaCodeData/Task/Resistor-mesh/Zkl/resistor-mesh-1.zkl
2023-07-01 13:44:08 -04:00

20 lines
600 B
Text

var [const] GSL=Import("zklGSL"); // libGSL (GNU Scientific Library)
fcn onGrid(i,j,p,q){ ((0<=i<p) and (0<=j<q)) }
fcn gridResistor(p,q, ai,aj, bi,bj){
n,A := p*q, GSL.Matrix(n,n); // zero filled
foreach i,j in (p,q){
k:=i*q + j;
if(i==ai and j==aj) A[k,k]=1;
else{
c:=0;
if(onGrid(i+1,j, p,q)){ c+=1; A[k, k+q]=-1 }
if(onGrid(i-1,j, p,q)){ c+=1; A[k, k-q]=-1 }
if(onGrid(i, j+1, p,q)){ c+=1; A[k, k+1]=-1 }
if(onGrid(i, j-1, p,q)){ c+=1; A[k, k-1]=-1 }
A[k,k]=c;
}
}
b:=GSL.Vector(n); // zero filled
b[k:=bi*q + bj]=1;
A.AxEQb(b)[k];
}