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Copy pathdiscrete_court_regions-ggplot2.R
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discrete_court_regions-ggplot2.R
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library(sp)
# constants
hoop_x = 0
hoop_y = 5.25
# help functions
center = function(xy) {
x = xy[, 1]
y = xy[, 2]
x = x - hoop_x
y = y - hoop_y
cbind(x, y)
}
uncenter = function(xy) {
x = xy[, 1]
y = xy[, 2]
x = x + hoop_x
y = y + hoop_y
data.frame(x = x, y = y)
}
calc_angle <- function(x, cx, r) {
acos((x - cx)/r)
}
calc_y_angle <- function(y, cy, r) {
asin((y - cy)/r)
}
arc_coords <- function(x, y, r, from = 0, to = 2 * pi) {
theta <- seq(from, to, length = 100)
data.frame(x = x + r * cos(theta), y = y + r * sin(theta))
}
# define regions in functions
# right hoop
basis_10 = function(x = 25, y = 5.25, plot = FALSE) {
outer_radius = 8
from_outer = -1 * calc_y_angle(0, hoop_y, outer_radius) + pi
to_outer = pi / 2
arc1 = arc_coords(0, 0, outer_radius, from = from_outer, to = to_outer)
poly_df = uncenter(rbind(arc1, c(0, -5.25)))
if (plot) {
sp::Polygons(list(sp::Polygon(poly_df, hole = FALSE)), "basis_10")
} else {
point.in.polygon(x, y, poly_df$x, poly_df$y)
}
}
# left hoop
basis_11 = function(x = 25, y = 5.25, plot = FALSE) {
outer_radius = 8
from_outer = calc_y_angle(0, hoop_y, outer_radius)
to_outer = pi / 2
arc1 = arc_coords(0, 0, outer_radius, from = from_outer, to = to_outer)
poly_df = uncenter(rbind(arc1, c(0, -5.25)))
if (plot) {
sp::Polygons(list(sp::Polygon(poly_df, hole = FALSE)), "basis_11")
} else {
point.in.polygon(x, y, poly_df$x, poly_df$y)
}
}
basis_20 = function(x = 25, y = 5.25, plot = FALSE) {
corner_3_dist = 22
outer_radius = 23.75
inner_radius = 8
outer_coords = data.frame(x = rep(-corner_3_dist, 2), y = c(-5.25, 8.75))
from_outer = -1 * calc_y_angle(8.75, cy = 0, r = outer_radius) + pi
to_outer = from_inner = 3 * pi / 4
to_inner = -1 * calc_y_angle(0, hoop_y, inner_radius) + pi
arc1 = arc_coords(0, 0, outer_radius, from = from_outer, to = to_outer)
arc2 = arc_coords(0, 0, inner_radius, from = from_inner, to = to_inner)
poly_df = uncenter(rbind(outer_coords, arc1, arc2))
if (plot) {
sp::Polygons(list(sp::Polygon(poly_df, hole = FALSE)), "basis_20")
} else {
point.in.polygon(x, y, poly_df$x, poly_df$y)
}
}
basis_21 = function(x = 25, y = 5.25, plot = FALSE) {
outer_radius = 23.75
inner_radius = 8
from_outer = to_inner = 3 * pi / 4
to_outer = from_inner = pi / 4
arc1 = arc_coords(0, 0, outer_radius, from = from_outer, to = to_outer)
arc2 = arc_coords(0, 0, inner_radius, from = from_inner, to = to_inner)
poly_df = uncenter(rbind(arc1, arc2))
if (plot) {
sp::Polygons(list(sp::Polygon(poly_df, hole = FALSE)), "basis_21")
} else {
point.in.polygon(x, y, poly_df$x, poly_df$y)
}
}
basis_22 = function(x = 25, y = 5.25, plot = FALSE) {
corner_3_dist = 22
outer_radius = 23.75
inner_radius = 8
outer_coords = data.frame(x = rep(corner_3_dist, 2), y = c(8.75, -5.25))
from_outer = to_inner = pi / 4
to_outer = calc_y_angle(8.75, cy = 0, r = outer_radius)
from_inner = calc_y_angle(0, hoop_y, inner_radius)
arc1 = arc_coords(0, 0, outer_radius, from = from_outer, to = to_outer)
arc2 = arc_coords(0, 0, inner_radius, from = from_inner, to = to_inner)
poly_df = uncenter(rbind(arc1, outer_coords, arc2))
if (plot) {
sp::Polygons(list(sp::Polygon(poly_df, hole = FALSE)), "basis_22")
} else {
point.in.polygon(x, y, poly_df$x, poly_df$y)
}
}
basis_30 = function(x, y, plot = FALSE) {
coords = data.frame(x = c(-22, -22, -25, -25),
y = c(-5.25, 8.75, 8.75, -5.25))
poly_df = uncenter(coords)
if (plot) {
sp::Polygons(list(sp::Polygon(poly_df, hole = FALSE)), "basis_30")
} else {
point.in.polygon(x, y, poly_df$x, poly_df$y)
}
}
basis_31 = function(x, y, plot = FALSE) {
inner_radius = 23.75
outer_radius = 32
arc_length = ((-1 * calc_y_angle(8.75, cy = 0, r = inner_radius) + pi) -
calc_y_angle(8.75, cy = 0, r = inner_radius)) / 3
from_outer = -1 * calc_angle(25, 0, outer_radius) + pi
to_outer = from_inner = (-1 * calc_y_angle(8.75, cy = 0, r = inner_radius) + pi) - arc_length
to_inner = -1 * calc_y_angle(8.75, cy = 0, r = inner_radius) + pi
outer_coords = data.frame(x = -25, y = 8.75)
arc1 = arc_coords(0, 0, outer_radius, from = from_outer, to = to_outer)
arc2 = arc_coords(0, 0, inner_radius, from = from_inner, to = to_inner)
poly_df = uncenter(rbind(outer_coords, arc1, arc2))
if (plot) {
sp::Polygons(list(sp::Polygon(poly_df, hole = FALSE)), "basis_31")
} else {
point.in.polygon(x, y, poly_df$x, poly_df$y)
}
}
basis_32 = function(x = 5.25, y = 25, plot = FALSE) {
outer_radius = 32
inner_radius = 23.75
arc_length = ((-1 * calc_y_angle(8.75, cy = 0, r = inner_radius) + pi) -
calc_y_angle(8.75, cy = 0, r = inner_radius)) / 3
from_outer = to_inner = (-1 * calc_y_angle(8.75, cy = 0, r = inner_radius) + pi) - arc_length
to_outer = from_inner = (-1 * calc_y_angle(8.75, cy = 0, r = inner_radius) + pi) - (2 * arc_length)
arc1 = arc_coords(0, 0, outer_radius, from = from_outer, to = to_outer)
arc2 = arc_coords(0, 0, inner_radius, from = from_inner, to = to_inner)
poly_df = uncenter(rbind(arc1, arc2))
if (plot) {
sp::Polygons(list(sp::Polygon(poly_df, hole = FALSE)), "basis_32")
} else {
point.in.polygon(x, y, poly_df$x, poly_df$y)
}
}
basis_33 = function(x = 5.25, y = 25, plot = FALSE) {
outer_radius = 32
inner_radius = 23.75
arc_length = ((-1 * calc_y_angle(8.75, cy = 0, r = inner_radius) + pi) -
calc_y_angle(8.75, cy = 0, r = inner_radius)) / 3
from_outer = to_inner = (-1 * calc_y_angle(8.75, cy = 0, r = inner_radius) + pi) - (2 * arc_length)
to_outer = calc_angle(25, 0, outer_radius)
from_inner = calc_y_angle(8.75, cy = 0, r = inner_radius)
outer_coords = data.frame(x = 25, y = 8.75)
arc1 = arc_coords(0, 0, outer_radius, from = from_outer, to = to_outer)
arc2 = arc_coords(0, 0, inner_radius, from = from_inner, to = to_inner)
poly_df = uncenter(rbind(arc1, outer_coords, arc2))
if (plot) {
sp::Polygons(list(sp::Polygon(poly_df, hole = FALSE)), "basis_33")
} else {
point.in.polygon(x, y, poly_df$x, poly_df$y)
}
}
basis_34 = function(x, y, plot = FALSE) {
coords = data.frame(x = c(22, 22, 25, 25),
y = c(-5.25, 8.75, 8.75, -5.25))
poly_df = uncenter(coords)
if (plot) {
sp::Polygons(list(sp::Polygon(poly_df, hole = FALSE)), "basis_34")
} else {
point.in.polygon(x, y, poly_df$x, poly_df$y)
}
}
basis_40 = function(x, y, plot = FALSE) {
inner_radius = 32
from_inner = calc_y_angle(25, cy = 0, r = inner_radius)
to_inner = calc_y_angle(-25, cy = 0, r = inner_radius)
arc1 = arc_coords(0, 0, inner_radius, from = from_inner, to = to_inner)
corner_df = data.frame(x = rep(41.75, 2), y = c(-25, 25))
poly_df = uncenter(rbind(corner_df, arc1))
if (plot) {
sp::Polygons(list(sp::Polygon(poly_df, hole = FALSE)), "basis_40")
} else {
point.in.polygon(x, y, poly_df$x, poly_df$y)
}
}
assign_region = function(x, y) {
results = cbind(
basis_10(x = x, y = y),
basis_11(x = x, y = y),
basis_20(x = x, y = y),
basis_21(x = x, y = y),
basis_22(x = x, y = y),
basis_30(x = x, y = y),
basis_31(x = x, y = y),
basis_32(x = x, y = y),
basis_33(x = x, y = y),
basis_34(x = x, y = y),
basis_40(x = x, y = y)
)
colnames(results) = c(paste0("basis_1", 0:1),
paste0("basis_2", 0:2),
paste0("basis_3", 0:4),
"basis_40")
results
}
court_regions = function() {
sp::SpatialPolygons(list(
basis_10(plot = TRUE),
basis_11(plot = TRUE),
basis_20(plot = TRUE),
basis_21(plot = TRUE),
basis_22(plot = TRUE),
basis_30(plot = TRUE),
basis_31(plot = TRUE),
basis_32(plot = TRUE),
basis_33(plot = TRUE),
basis_34(plot = TRUE)
))
}