[R] A Maze Generator

[McGehee, Robert]

Thanks! I wasn't on a clean R session so I didn't catch this. I intended the 'i' to be the same from the last for loop, but as you point out on the first run there is no 'i'!

Try this:

plotMaze <- function(z, text=FALSE, lwd=2, ...) {
    N <- nrow(z)
    y <- -matrix(rep(1:N, N), N, N, byrow=FALSE)-1
    x <- matrix(rep(1:N, N), N, N, byrow=TRUE)
    plot(1:(N+1), -1:-(N+1), type="n", ylab="", xlab="", axes=FALSE, ...)
    segments(1, -1:-(N+1) , N+1, -1:-(N+1), lwd=lwd)
    segments(1:(N+1), -1, 1:(N+1), -(N+1), lwd=lwd)
    segments(x+(z==4), y+(z==3), x+(z!=2), y+(z!=1), col="white", lwd=lwd)
    if (text) text(x+0.5, y+0.5, z)
    rect(1, -1, N+1, -(N+1), lwd=lwd)
}


makeMaze <- function(N, p=1) {
    z <- matrix(NA+0, N, N)
    s <- function(x) if (length(x)==1) x else sample(x, size=1)
    z[s(1:length(z))] <- 0
    i <- 1
    while (any(is.na(z))) {
        xx <- list(z[c(2:N, N),],
                   z[,c(1, 1:(N-1))],
                   z[c(1, 1:(N-1)),],
                   z[,c(2:N, N)])
        xx[[1]][N,] <- NA; xx[[2]][,1] <- NA; xx[[3]][1,] <- NA; xx[[4]][,N] <- NA
        prb <- rep(1, 4); prb[i] <- p
        for (i in sample(1:4, prob=prb)) {
            q <- !is.na(xx[[i]]) & is.na(z)
            if (!any(q)) next
            z[s(which(q))] <- i
            break
        }
    }
    z
}
set.seed(1)
plotMaze(makeMaze(10), main="Simple Maze")
plotMaze(makeMaze(25), main="Hard  Maze", lwd=1)
 

-----Original Message-----
From: Peter Dalgaard [mailto:p.dalgaard at biostat.ku.dk] 
Sent: Tuesday, April 29, 2008 5:34 PM
To: McGehee, Robert
Cc: r-help
Subject: Re: [R] A Maze Generator

McGehee, Robert wrote:
> I had some fun this afternoon coding up a 'maze generator' in R. I
> thought I'd pass along the fruits of my labor for everyone's amusement.
>
> As written, every point is connected to every other point, so feel free
> to 'start' and 'finish' anywhere you like.
>
> Have fun! 
> --Robert
>
> PS. Feel free to pass along suggestions or comments.
>
>   
You have prb[i] <-p but no definition of i. What was intended?

    -pd
> ----------------------------------------------------------------
> plotMaze <- function(z, text=FALSE, lwd=2, ...) {
>     N <- nrow(z)
>     y <- -matrix(rep(1:N, N), N, N, byrow=FALSE)-1
>     x <- matrix(rep(1:N, N), N, N, byrow=TRUE)
>     plot(1:(N+1), -1:-(N+1), type="n", ylab="", xlab="", axes=FALSE,
> ...)
>     segments(1, -1:-(N+1) , N+1, -1:-(N+1), lwd=lwd)
>     segments(1:(N+1), -1, 1:(N+1), -(N+1), lwd=lwd)
>     segments(x+(z==4), y+(z==3), x+(z!=2), y+(z!=1), col="white",
> lwd=lwd)
>     if (text) text(x+0.5, y+0.5, z)
>     rect(1, -1, N+1, -(N+1), lwd=lwd)
> }
>
>
> makeMaze <- function(N, p=1) { # large 'p' may result in more order
> plots
>     z <- matrix(NA+0, N, N)
>     s <- function(x) if (length(x)==1) x else sample(x, size=1)
>     z[s(1:length(z))] <- 0
>     while (any(is.na(z))) {
>         xx <- list(z[c(2:N, N),],
>                    z[,c(1, 1:(N-1))],
>                    z[c(1, 1:(N-1)),],
>                    z[,c(2:N, N)])
>         xx[[1]][N,] <- NA; xx[[2]][,1] <- NA; xx[[3]][1,] <- NA;
> xx[[4]][,N] <- NA
>         prb <- rep(1, 4); prb[i] <- p
>         for (i in sample(1:4, prob=prb)) {
>             q <- !is.na(xx[[i]]) & is.na(z)
>             if (!any(q)) next
>             z[s(which(q))] <- i
>             break
>         }
>     }
>     z
> }
> set.seed(1)
> plotMaze(makeMaze(10), main="Simple Maze")
> plotMaze(makeMaze(25), main="Hard  Maze", lwd=1)
>
>
> Robert McGehee, CFA
> Geode Capital Management, LLC
> One Post Office Square, 28th Floor | Boston, MA | 02109
> Tel: 617/392-8396    Fax:617/476-6389
> mailto:robert.mcgehee at geodecapital.com
>
>
>
> This e-mail, and any attachments hereto, are intended fo...{{dropped:11}}
>
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>   


-- 
   O__  ---- Peter Dalgaard             Øster Farimagsgade 5, Entr.B
  c/ /'_ --- Dept. of Biostatistics     PO Box 2099, 1014 Cph. K
 (*) \(*) -- University of Copenhagen   Denmark      Ph:  (+45) 35327918
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