lygia/space/cart2polar)cartesian to polar transformation.
Use:
<vec2|vec3> cart2polar(<vec2|vec3> st)
#ifndef FNC_CART2POLAR
#define FNC_CART2POLAR
vec2 cart2polar(in vec2 st) {
return vec2(atan(st.y, st.x), length(st));
}
// https://mathworld.wolfram.com/SphericalCoordinates.html
vec3 cart2polar( in vec3 st ) {
float r = length(st);
float phi = acos(st.z/r);
float theta = atan(st.y, st.x);
return vec3(r, phi, theta);
}
#endif
Use:
<float2|float3> cart2polar(<float2|float3> st)
#ifndef FNC_CART2POLAR
#define FNC_CART2POLAR
float2 cart2polar(in float2 st) {
return float2(atan2(st.y, st.x), length(st));
}
// https://mathworld.wolfram.com/SphericalCoordinates.html
float3 cart2polar( in float3 st) {
float r = length(st);
float phi = acos(st.z/r);
float theta = atan2(st.y, st.x);
return float3(r, phi, theta);
}
#endif
Use:
<float2|float3> cart2polar(<float2|float3> st)
#ifndef FNC_CART2POLAR
#define FNC_CART2POLAR
float2 cart2polar(float2 st) {
return float2(atan2(st.y, st.x), length(st));
}
float3 cart2polar( float3 st ) {
float r = length(st);
float theta = acos(st.z/r);
float phi = atan2(st.y, st.x);
return float3(r, theta, phi);
}
#endif
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