Fix the cell span query in a spatial hash
Your task
Your collision broadphase is a spatial hash: the world is a grid of square cells, and each query visits the cells an axis-aligned box overlaps. The first version stopped one cell short, so objects on a cell boundary tunnelled through each other. The fix lists every cell the box touches, the last row and column included.
An assistant wrote spatial_cells_for_box(min_x, min_y, max_x, max_y, cell_size). It is in the editor. It has a bug. Find it and fix it.
Input and output:
min_x,min_y,max_x,max_y: the box's corners. They may be negative, and may arrive swapped.cell_size: the width of a grid cell.- Return the cells as
[cx, cy]pairs.
Rules the tests check:
- If
cell_sizeis 0 or less, return[]. - If
max_xis less thanmin_x, swap them. Do the same for y. - A coordinate
vfalls in cellfloor(v / cell_size). Floor rounds down, so -0.5 with a cell size of 1 is in cell -1. - Return every cell from the min corner's cell to the max corner's cell, both ends included, on each axis.
- Order the cells by
cxascending, then bycyascending within eachcx.
Examples
spatial_cells_for_box(min_x: float, min_y: float, max_x: float, max_y: float, cell_size: float) -> list[list[int]]Example 1
Input
spatial_cells_for_box(0.5, 0.5, 1.5, 1.5, 1)Output
[[0, 0], [0, 1], [1, 0], [1, 1]]Example 2
Input
spatial_cells_for_box(0.1, 0.1, 0.9, 0.9, 1)Output
[[0, 0]]Example 3
Input
spatial_cells_for_box(1, 1, 2, 2, 1)Output
[[1, 1], [1, 2], [2, 1], [2, 2]]