basketball_two_point_range: If a court has a three-point line (see...

In sportyR: Plot Scaled 'ggplot' Representations of Sports Playing Surfaces

If a court has a three-point line (see basketball_three_point_line()), then any made basket (not including free throws) made from inside of the arc are worth two points. The area inside of this arc is therefore referred to as two point range, which this feature draws. This feature is enclosed by the three-point line's outer edge and the baseline's inner edge

Description

It should also be noted that as this corresponds strictly to the area contained by the three-point line, the interior angle is what's needed. While utilizing the corner-three distance as the outer edge should work generally, an issue may arise if the z-order of the feature's plotting characteristic is changed to be greater than that of the three-point line itself. This should not happen, but the interior edge is therefore what is used here

Usage

basketball_two_point_range(
  basket_center_to_baseline = 0,
  basket_center_to_corner_three = 0,
  line_thickness = 0,
  two_point_range_radius = 0
)

Arguments

basket_center_to_baseline	The distance from the center of the basket ring to the inner edge of the baseline
basket_center_to_corner_three	The distance from the center of the basket ring to the outer edge of the three-point line in the corner in the court's specified units
line_thickness	The thickness of the three-point line
two_point_range_radius	The radius of the arc portion of the three-point line

Details

Start by getting the distance from the center of the basket to a corner three-point shot. This is referred to as start_y

Next, get the starting angle with which to trace out the two-point range. Taking the distance start_y to be a y coordinate, and the (outer) radius of the arc of the three-point line to be a radius, we the sine of the starting angle is given as start_y / {three_point_arc_radius - three_point_line_thickness}

As the TV-right angle of the start of the arc is what's drawn here, the starting and ending angles need to be adjusted relative to 1 radian (the arc opens to the right, like a ( character)

The starting angle is therefore given as 1 - angle, and the ending angle is 1 + angle

Value

A data frame of the bounding coordinates of two-point range

sportyR documentation built on July 9, 2023, 5:49 p.m.