3d - Distance and direction from point to axis-aligned bounding box - Stack Overflow

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I'm trying to calculate lighting in a fragment shader, and I've defined my light sources as axis-aligned bounding boxes (AABB) in order to simulate "area lights" -- light-emitting volumes, rather than simple point lights.

I found and adapted this code on StackOverflow which correctly calculates the distance from the point to the bounds. But I was wondering if there's a clever way to extract the directional vector from this calculation as well?

/**
 * @return The distance from `p` to the bounding box.
 * @see 
 */
float distance_to_bounds(in vec3 mins, in vec3 maxs, in vec3 p) {

    float dx = max(max(mins.x - p.x, 0.0), p.x - maxs.x);
    float dy = max(max(mins.y - p.y, 0.0), p.y - maxs.y);
    float dz = max(max(mins.z - p.z, 0.0), p.z - maxs.z);

    return sqrt(dx * dx + dy * dy + dz * dz);
}

I tried refactoring this as:

/**
 * @return The directional vector from `p` to the bounding box.
 * @see 
 */
vec3 direction_to_bounds(in vec3 mins, in vec3 maxs, in vec3 p) {

    float dx = max(max(mins.x - p.x, 0.0), p.x - maxs.x);
    float dy = max(max(mins.y - p.y, 0.0), p.y - maxs.y);
    float dz = max(max(mins.z - p.z, 0.0), p.z - maxs.z);

    return vec3(dx, dy, dz);
}

Thinking that the length of the vector would be distance, but this produces incorrect looking results for both distance and direction. I tried negating the vector as well.

本文标签： 3dDistance and direction from point to axisaligned bounding boxStack Overflow