fix(render): match native packet distance approximation

adapters/fparkan-render-vulkan/src/ffi.rs

@@ -11,6 +11,7 @@
 mod asset_mesh;
 mod capabilities;
 mod instance;
+mod packet_distance;
 mod reflection;
 mod resources;
 mod runtime;
@@ -50,6 +51,7 @@ pub use self::instance::{
 };
 #[cfg(test)]
 use self::instance::{cstring_vec, ensure_instance_extensions_available};
+pub use self::packet_distance::legacy_packet_distance_squared;
 use self::resources::{
     color_subresource_range, create_command_pool, create_depth_attachment, create_frame_sync,
     create_frame_uniform_buffer, create_index_buffer, create_material_specular_buffer,

adapters/fparkan-render-vulkan/src/ffi/packet_distance.rs

@@ -0,0 +1,52 @@
+#![allow(unsafe_code)]
+//! The native CPU instruction used for render-packet distance keys.
+
+/// Reproduces Ngi32's squared length multiplied by `RSQRTSS` on x86-64.
+/// Other architectures retain the portable distance and report that boundary.
+#[must_use]
+pub fn legacy_packet_distance_squared(squared: f32) -> Option<f32> {
+    if !squared.is_finite() || squared < 0.0 {
+        return None;
+    }
+    if squared == 0.0 {
+        static NOTICE: std::sync::Once = std::sync::Once::new();
+        NOTICE.call_once(|| {
+            eprintln!("render_coverage packet_zero_distance_fallback=1 (stable zero instead of native 0 * infinity)");
+        });
+        return Some(0.0);
+    }
+    #[cfg(target_arch = "x86_64")]
+    let distance = {
+        use core::arch::x86_64::{_mm_cvtss_f32, _mm_rsqrt_ss, _mm_set_ss};
+        // SAFETY: SSE is part of the x86-64 baseline; these intrinsics only
+        // operate on register values and do not access memory.
+        let inverse = unsafe { _mm_cvtss_f32(_mm_rsqrt_ss(_mm_set_ss(squared))) };
+        squared * inverse
+    };
+    #[cfg(not(target_arch = "x86_64"))]
+    let distance = {
+        static NOTICE: std::sync::Once = std::sync::Once::new();
+        NOTICE.call_once(|| {
+            eprintln!("render_coverage packet_distance_native_rsqrt_unsupported=1 (using portable square root)");
+        });
+        squared.sqrt()
+    };
+    distance.is_finite().then_some(distance)
+}
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn packet_distance_preserves_the_native_approximation_error_bound() {
+        for squared in [0.000_001_f32, 1.0, 9.0, 11_393.854, 1_000_000.0] {
+            let distance = legacy_packet_distance_squared(squared).unwrap();
+            assert!((distance / squared.sqrt() - 1.0).abs() < 0.000_3);
+        }
+        assert_eq!(legacy_packet_distance_squared(0.0), Some(0.0));
+        for invalid in [-1.0, f32::NAN, f32::INFINITY] {
+            assert_eq!(legacy_packet_distance_squared(invalid), None);
+        }
+    }
+}