Firstborn/Library/PackageCache/com.unity.shadergraph@12.1.8/Documentation~/Polar-Coordinates-Node.md

Polar Coordinates Node

Description

Converts the value of input UV to polar coordinates. In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.

The resulting effect is that the x channel of the input to UV is converted to a distance value from the point specified by the value of input Center and the y channel of same input is converted to the value of an angle of rotation around that point.

These values can be scaled by the values of inputs Radial Scale and Length Scale respectively.

Ports

Name	Direction	Type	Binding	Description
UV	Input	Vector 2	UV	Input UV value
Center	Input	Vector 2	None	Center reference point
Radial Scale	Input	Float	None	Scale of distance value
Length Scale	Input	Float	None	Scale of angle value
Out	Output	Vector 2	None	Output value

Generated Code Example

The following example code represents one possible outcome of this node.

void Unity_PolarCoordinates_float(float2 UV, float2 Center, float RadialScale, float LengthScale, out float2 Out)
{
    float2 delta = UV - Center;
    float radius = length(delta) * 2 * RadialScale;
    float angle = atan2(delta.x, delta.y) * 1.0/6.28 * LengthScale;
    Out = float2(radius, angle);
}