# Objective
- Fix the atmosphere LUT parameterization in the aerial -view and
sky-view LUTs
- Correct the light accumulation according to a ray-marched reference
- Avoid negative values of the sun disk illuminance when the sun disk is
below the horizon
## Solution
- Adding a Newton's method iteration to `fast_sqrt` function
- Switched to using `fast_acos_4` for better precision of the sun angle
towards the horizon (view mu angle = 0)
- Simplified the function for mapping to and from the Sky View UV
coordinates by removing an if statement and correctly apply the method
proposed by the [Hillarie
paper](https://sebh.github.io/publications/egsr2020.pdf) detailed in
section 5.3 and 5.4.
- Replaced the `ray_dir_ws.y` term with a shadow factor in the
`sample_sun_illuminance` function that correctly approximates the sun
disk occluded by the earth from any view point
## Testing
- Ran the atmosphere and SSAO examples to make sure the shaders still
compile and run as expected.
---
## Showcase
<img width="1151" alt="showcase-img"
src="https://github.com/user-attachments/assets/de875533-42bd-41f9-9fd0-d7cc57d6e51c"
/>
---------
Co-authored-by: Emerson Coskey <emerson@coskey.dev>
f22ea72db0