b400958c3e
Co-Authored-By: selune <0xlillith@users.noreply.github.com> Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
79 lines
3.4 KiB
Rust
79 lines
3.4 KiB
Rust
//! Independent isotropic CPU LOD reference from unwrapped UV gradients per shading-grid pixel.
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//! No sampling, derivative inference, normal filtering or GPU capability is implied.
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use crate::texture_input::MAX_TEXTURE_EDGE;
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/// Versioned convention: largest singular value, log2, magnification at zero,
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/// saturated at the last floor-halved level. Not a GPU parity guarantee.
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pub const LOD_POLICY_ID: &str = "solidcraft.isotropic-singular-value-lod/1";
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pub const MAX_UV_GRADIENT: f64 = 1_048_576.0;
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#[derive(Clone, Copy, Debug, PartialEq, Eq)]
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pub enum LodError {
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Dimensions,
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Gradients,
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}
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impl std::fmt::Display for LodError {
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fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
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f.write_str(match self {
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Self::Dimensions => "texture dimensions must be positive and within admission limits",
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Self::Gradients => "UV gradients must be finite and within the CPU reference bound",
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})
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}
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}
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impl std::error::Error for LodError {}
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#[derive(Clone, Copy, Debug, PartialEq)]
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pub struct LodSelection {
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/// Continuous LOD, explicitly saturated to [0, max_level].
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pub lod: f64,
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/// Largest singular value of the UV-to-texel differential, before saturation.
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pub footprint_texels: f64,
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pub max_level: u32,
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}
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/// Select LOD using caller-supplied derivatives of UNWRAPPED UV per shading-grid pixel.
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/// `duv_dx` and `duv_dy` must already account for perspective/placement/mapping.
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/// For Sx by Sy supersampling, divide final-image-pixel derivatives by Sx and Sy,
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/// respectively. Derivatives already measured on the shading grid need no division.
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/// The policy uses a circular differential footprint, not exact pixel-square coverage.
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/// It can blur the shorter axis of an elongated footprint; it is not anisotropic.
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/// Dimensions describe the base image; its available chain must end at 1x1 through
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/// floor-halving. Odd-size levels use the documented log2 approximation.
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pub fn select_isotropic_lod(dimensions: [u32; 2], duv_dx: [f64; 2], duv_dy: [f64; 2]) -> Result<LodSelection, LodError> {
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let [width, height] = dimensions;
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if width == 0 || height == 0 || width > MAX_TEXTURE_EDGE || height > MAX_TEXTURE_EDGE {
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return Err(LodError::Dimensions);
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}
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if duv_dx.iter().chain(&duv_dy).any(|v| !v.is_finite() || v.abs() > MAX_UV_GRADIENT) {
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return Err(LodError::Gradients);
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}
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let [dudx, dvdx] = duv_dx;
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let [dudy, dvdy] = duv_dy;
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let columns = [dudx * f64::from(width), dvdx * f64::from(height), dudy * f64::from(width), dvdy * f64::from(height)];
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let scale = columns.into_iter().map(f64::abs).fold(0.0, f64::max);
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let footprint_texels = if scale == 0.0 {
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0.0
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} else {
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let [a, b, c, d] = columns.map(|v| v / scale);
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// Largest eigenvalue of J^T J; scaling keeps the quadratic bounded.
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let first = a * a + b * b;
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let second = c * c + d * d;
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let cross = a * c + b * d;
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scale * (0.5 * (first + second + (first - second).hypot(2.0 * cross))).sqrt()
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};
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let mut w = width;
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let mut h = height;
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let mut max_level = 0;
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while w > 1 || h > 1 {
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w = (w / 2).max(1);
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h = (h / 2).max(1);
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max_level += 1;
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}
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let lod = if footprint_texels <= 1.0 { 0.0 } else { footprint_texels.log2().min(f64::from(max_level)) };
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Ok(LodSelection { lod, footprint_texels, max_level })
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}
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#[cfg(test)]
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#[path = "texture_lod_tests.rs"]
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mod tests;
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