R/turn3d.R

In rgl: 3D Visualization Using OpenGL

turn3d <- function(x, y = NULL, n = 12, smooth = FALSE, ...) {
  xy <- xy.coords(x, y)
  x <- xy$x
  y <- zapsmall(xy$y)
  stopifnot(all(y >= 0))
  len <- length(x)
  inds <- seq_len(len)
  
  if (smooth) {
    nx <- -diff(y)
    nx <- c(nx, 0) + c(0, nx)
    ny <- diff(x)
    ny <- c(ny, 0) + c(0, ny)
    nlen <- sqrt(nx^2 + ny^2)
    nlen[nlen == 0] <- 1
    nx <- nx/nlen
    ny <- ny/nlen
    normals <- matrix(nrow=4, ncol=0)
  }
  zero <- y == 0
  vb <- matrix(nrow=4, ncol=0)
  ib <- matrix(nrow=4, ncol=0)
  it <- matrix(nrow=3, ncol=0)
  
  theta <- seq(0, 2*pi, len = n + 1)[-(n + 1)]
  for (i in inds) {
    vb <- cbind(vb, rbind(x[i], sin(theta)*y[i], cos(theta)*y[i], 1))
    if (smooth)
      normals <- cbind(normals, rbind(nx[i], sin(theta)*ny[i], cos(theta)*ny[i], 1))
    if (i > 1) {
      if (zero[i] && zero[i-1]) { # do nothing 
      } else if (!zero[i] && zero[i-1]) { # draw triangles
        prev <- ncol(vb) - n - 0:(n-1)
        curr <- ncol(vb) - 0:(n-1)
        curr2 <- curr + 1
        curr2[1] <- curr2[1] - n
        
        it <- cbind(it, rbind(prev, curr, curr2))
      } else if (zero[i] && !zero[i-1]) { # other triangles
        prev <- ncol(vb) - n - 0:(n-1)
        curr <- ncol(vb) - 0:(n-1)
        prev2 <- prev + 1
        prev2[1] <- prev2[1] - n
        it <- cbind(it, rbind(prev, curr, prev2))
      } else { # quads
        prev <- ncol(vb) - n - 0:(n-1)
        prev2 <- prev + 1
        prev2[1] <- prev2[1] - n
        curr <- ncol(vb) - 0:(n-1)
        curr2 <- curr + 1
        curr2[1] <- curr2[1] - n
        ib <- cbind(ib, rbind(prev, curr, curr2, prev2))
      }
    }
  }
  
  result <- tmesh3d(vb, it, normals=if(smooth) t(normals), ...)
  if (length(ib)) result$ib <- ib
  result
}