translate <- function(df,step){
df[,1]=df[,1]+step[1]
df[,2]=df[,2]+step[2]
df
}
trans_h <- function(df,step){
df[,1]=df[,1]+step[1]
df
}
trans_v <- function(df,step){
df[,2]=df[,2]+step[1]
df
}
trans_al <- function(df,Angle_Length=c(30,1)){
angle=Angle_Length[1]/180*pi
step=c(Angle_Length[2]*cos(angle),Angle_Length[2]*sin(angle))
df[,1]=df[,1]+step[1]
df[,2]=df[,2]+step[2]
df
}
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