Is it possible to do a point hit test on a axis aligned bounding box after things like rotation are applied?

Here is one of my current attempts, but i’m not sure if i’m after something that is possible at all.

```
int w = 200;
int h = 200;
void setup() {
size(600, 600, P3D);
}
void draw() {
background(30);
pushMatrix();
translate(width/2, height/2);
rotateY(radians(45));
fill(255);
rect(0, 0, w, h);
PVector p1 = new PVector(modelX(0, 0, 0), modelY(0, 0, 0), modelZ(0, 0, 0));
PVector p2 = new PVector(modelX(w, 0, 0), modelY(w, 0, 0), modelZ(w, 0, 0));
PVector p3 = new PVector(modelX(w, h, 0), modelY(w, h, 0), modelZ(w, h, 0));
PVector p4 = new PVector(modelX(0, h, 0), modelY(0, h, 0), modelZ(0, h, 0));
PVector mouse = new PVector(modelX(mouseX-width/2, mouseY-height/2, 0),
modelY(mouseX-width/2, mouseY-height/2, 0),
modelZ(mouseX-width/2, mouseY-height/2, 0));
PMatrix3D m = (PMatrix3D) getMatrix();
m.invert();
popMatrix();
// -------------------------------------------------------------
PVector c1 = m.mult(p1, null);
PVector c2 = m.mult(p2, null);
PVector c3 = m.mult(p3, null);
PVector c4 = m.mult(p4, null);
PVector cm = m.mult(mouse, null);
pushMatrix();
beginShape();
translate(width*0.4, 0);
noFill();
stroke(255);
vertex(c1.x, c1.y);
vertex(c2.x, c2.y);
vertex(c3.x, c3.y);
vertex(c4.x, c4.y);
endShape(CLOSE);
ellipse(cm.x, cm.y, 10, 10);
popMatrix();
}
```