#' triangulate
#'
#' @export
#'
triang <- function(x1,y1,alpha1,x2,y2,alpha2){
# For Triangulation GK Coordinates are necesarry!
# First calculate tan keeping in mind that 0° in geo-coordinates are 90° in a x-y plane
ta1 <- (alpha1%%360)/180*pi
ta2 <- (alpha2%%360)/180*pi
if(((alpha1-alpha2)%%180)==0){#print("No triangulation possible: all three points are on one line")
return(c(NA,NA))}
# Findinf Intersection Using solver
b<-c(x2-x1,y2-y1)
a1<-c(sin(ta1),cos(ta1))
a2<-c(-sin(ta2),-cos(ta2))
a<-matrix(c(a1,a2),nrow=2)
l<-solve(a,b)
px<-x1+l[1]*sin(ta1)
py<-y1+l[1]*cos(ta1)
if(l[2]>0&l[1]>0)
{
return(data.frame(x=px,y=py))
}
else{
return(data.frame(x=NA,y=NA))
}
}
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