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#' Rotate a \code{"surf"} object
#'
#' Rotate a \code{"surf"}. Can be used to adjust the mesh orientation prior
#' to \code{\link{view_xifti_surface}}.
#'
#' @param surf The \code{"surf"} object: see \code{\link{is.surf}}.
#' @param r1,r2,r3 Angle to rotate along the first, second, and third column's
#' axis, in \code{units} (e.g. changing \code{r1} will change the vertex positions
#' in the second and third dimensions/columns, since the mesh is being rotated
#' with respect to the first column's axis). Default: \code{0}.
#'
#' With \code{view_xifti_surface} and other mesh rendering functions that
#' use \code{rgl}, these rotations seem to correspond to yaw, pitch, and
#' roll, respectively.
#' @param units \code{"radians"} (default) or \code{"degrees"}.
#'
#' @return The rotated \code{"surf"}
#'
#' @family surface-related
#' @export
rotate_surf <- function(surf, r1=0, r2=0, r3=0, units=c("radians", "degrees")) {
units <- match.arg(units, c("radians", "degrees"))
if (units=="degrees") {
r1 <- r1*pi/180; r2 <- r2*pi/180; r3 <- r3*pi/180
}
stopifnot(is.surf(surf))
# Rotate on the mean of the data.
surf_colmeans <- colMeans(surf$vertices)
surf$vertices <- t(t(surf$vertices) - surf_colmeans)
R <- matrix(c(
cos(r1) * cos(r2),
sin(r1) * cos(r2),
-sin(r2),
cos(r1) * sin(r2) * sin(r3) - sin(r1) * cos(r3),
sin(r1) * sin(r2) * sin(r3) + cos(r1) * cos(r3),
cos(r2) * sin(r3),
cos(r1) * sin(r2) * cos(r3) + sin(r1) * sin(r3),
sin(r1) * sin(r2) * cos(r3) - cos(r1) * sin(r3),
cos(r2) * cos(r3)
), nrow=3)
surf$vertices <- t(R %*% t(surf$vertices) + surf_colmeans)
surf
}
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