Polar/spherical coordinates conversion functions

PolarCoordinates.hlsl

#ifndef POLAR_INCLUDED
#define POLAR_INCLUDED

#define PI 3.14159265359

float2 UVToPolar(float2 uv)
{
	return float2(uv.x * (2 * PI), (uv.y - 0.5) * PI);
}

float2 PolarToUV(float2 polar)
{
	return float2(polar.x / (2 * PI), polar.y / PI + 0.5);
}

float3 PolarToCartesian(float2 polar)
{
	return float3(
		cos(polar.x) * cos(polar.y),
		sin(polar.y),
		sin(polar.x) * cos(polar.y)
	);
}

float2 CartesianToPolar(float3 cartesian)
{
	return float2(
		atan2(cartesian.z, cartesian.x),
		asin(cartesian.y)
	);
}

#endif // POLAR_INCLUDED