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#' Perform a mathematical reflection of coordinates over a specified axis
#'
#' @param df The data frame to reflect. It must have \code{x} and \code{y}
#' columns
#' @param over_x A boolean indicating whether or not to reflect over the x axis.
#' Default: FALSE
#' @param over_y A boolean indicating whether or not to reflect over the y axis.
#' Default: TRUE
#'
#' @return The reflected data frame
#'
#' @export
#'
#' @examples
#' reflect(data.frame(x = 1, y = 0))
#'
#' @keywords internal
reflect <- function(df,
over_x = FALSE,
over_y = TRUE) {
if (over_y) {
df["x"] <- -1 * df["x"]
}
if (over_x) {
df["y"] <- -1 * df["y"]
}
return(df)
}
#' Perform a mathematical rotation about (0, 0) of coordinates. This rotation is
#' given as x' = x \* cos(theta) - y \* sin(theta) y' = x \* sin(theta) + y \*
#' cos(theta)
#'
#' @param df The data frame to rotate. It must have \code{x} and \code{y}
#' columns
#' @param angle the angle (in degrees) through which to rotate the coordinates
#'
#' @return The rotated data frame
#'
#' @export
#'
#' @examples
#' rotate_coords(data.frame(x = 0, y = 1))
#'
#' @keywords internal
rotate_coords <- function(df,
angle = 90) {
# If the data frame is empty, just give back the data frame
if (nrow(df) == 0) {
return(df)
}
# Set theta to be the angle of rotation, converting from degrees to radians
theta <- (angle / 180) * pi
# Copy the data frame so that the original data frame can be utilized for
# vectorized calculations
rotated_df <- df
# Perform the rotation
rotated_df["x"] <- df["x"] * cos(theta) - df["y"] * sin(theta)
rotated_df["y"] <- df["x"] * sin(theta) + df["y"] * cos(theta)
return(rotated_df)
}
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