/// <summary>
/// Inspector (Cache mutator) - Creates a polar coordinates point on the surface of a unit-sphere from a qv coordinate and a circle radius.
/// </summary>
/// <param name="qv">QV Coordinates for a spherical circle. Q Range: [0- 4+) - representing the four quadrants - the decimal portion representing their angle; V Range [0, 1) - representing the distance from the center of the texture.</param>
/// <param name="radius">The radius of the spherical circle. Range: [0, +PI].</param>
/// <returns>The polar coordinates on the surface of a unit-sphere (relative to Quaternion.identity's forward).</returns>
public static PolarCoordinates spherical_circle_to_polar(Vector2 qv, float radius)
{
float angle = ((qv.x / 4) * (Mathf.PI * 2));
float polar_radius = qv.y * radius;
return(PolarCoordinates.polar(polar_radius, angle));
}
/// <summary>
/// Inspector (Cache mutator) - Creates a spherical circle QV (Quadrant-ValenceShell) coordinate set from a point on a unit sphere and a circle radius.
/// </summary>
/// <param name="polar">Polar coordinates on the surface of a unit-sphere (relative to Quaternion.identity's forward).</param>
/// <param name="radius">The radius of the spherical circle. Range: [0, +PI].</param>
/// <returns>QV Coordinates for a spherical circle. Q Range: [0, 4) - representing the four quadrants - the decimal portion representing their angle; V Range [0, 1+) - representing the distance from the center of the texture - or valence shell.</returns>
public static SphericalCircleQVCoordinates polar_to_spherical_circle(PolarCoordinates polar, float radius)
{
float quadrant = 4 * (polar.angle / (Mathf.PI * 2));
float valence_shell = polar.radius / radius;
return(new SphericalCircleQVCoordinates(new Vector2(quadrant, valence_shell), radius));
}
public override Color32[] get_pixels(NormalizedCartesianCoordinates[] positions)
{
Color32[] colors = new Color32[positions.Length];
for (int index = 0; index < positions.Length; ++index)
{
PolarCoordinates polar = positions[index];
SphericalCircleQVCoordinates spherical_circle = polar.to_spherical_circle(radius_variable);
if (!spherical_circle.valid())
{
colors[index] = new Color32(0, 0, 0, 0); // Color.clear
}
else
{
Vector2 texture_indices = spherical_circle.to_texture_coordinate(texture.width);
colors[index] = texture.GetPixel((int)texture_indices.x, (int)texture_indices.y);
}
}
return(colors);
}
