close: tie LOD distance ordering exceptions - 80/1864 classes have mid=8192 far=8190

Tie class headers ordered near < mid < far on most classes. Measured over all
1,864 classes on all 27 levels, 80 are out of order and they are exact: every
one carries mid_dist == 8192.0 and far_dist == 8190.0, so far < mid and
lod_for_depth can never return 2 (the far test runs only after mid). Added a
golden test asserting the exact pattern, and updated the tie format doc.

Co-authored-by: reaper <reaper@users.noreply.github.com>

crates/gc-extract/tests/disc.rs

@@ -4535,6 +4535,83 @@ fn tie_vertex_layout_is_selected_by_i16_3_high_byte() {
 /// 2. every tfrag patch's bytes are rewritten, and patches that cannot morph are
 ///    rewritten as much as patches that can;
 /// 3. the tfrag table record's two pointer fields are relocated by the block base.
+/// Tie LOD switch distances are ordered `near < mid < far` on most classes, but
+/// 80 of the 1,864 classes on all 27 levels break it in an exact, recurring
+/// pattern: `mid_dist` is exactly 8192.0 and `far_dist` is exactly 8190.0 in
+/// every one.
+///
+/// That is `far < mid`, so `lod_for_depth` can never return 2: the `far`
+/// comparison is reached only after the `mid` comparison, and `far_dist <
+/// mid_dist` always fails. These classes effectively render two LOD tiers,
+/// not three, despite declaring three.
+///
+/// The exceptions' `near` distance is 12 on 70 classes, 16 on 2, 8 on 5, and
+/// 50, 400 and 30 on one class each. No other out-of-order pattern exists:
+/// every out-of-order class has `mid == 8192.0` and `far == 8190.0`.
+#[test]
+fn tie_lod_distances_break_ordering_exactly_80_classes_at_mid_8192_far_8190() {
+    require_disc!();
+
+    let data = std::env::var_os("GC_EXTRACTED")
+        .map(PathBuf::from)
+        .unwrap_or_else(|| {
+            let home = std::env::var("HOME").unwrap_or_else(|_| ".".into());
+            PathBuf::from(home).join("Documents/gc-extracted")
+        });
+    if !data.exists() {
+        eprintln!("skipped: unpack the disc first");
+        return;
+    }
+
+    use gc_formats::level_core::{ClassEntry, LevelCoreHeader};
+    use gc_formats::tie::TieClassHeader;
+
+    let mut total = 0usize;
+    let mut bad = 0usize;
+    let mut exact = 0usize;
+    let mut near = std::collections::BTreeMap::new();
+
+    for lv in 0..27usize {
+        let idx = std::fs::read(data.join(format!("level{lv}/core_index.bin"))).expect("idx");
+        let core = std::fs::read(data.join(format!("level{lv}/core_data.bin"))).expect("core");
+        let h = LevelCoreHeader::parse(&idx).expect("hdr").tie_classes;
+        for c in 0..h.count as usize {
+            let o = h.offset as usize + c * 0x20;
+            let e = ClassEntry::parse(&idx[o..o + 0x20]).expect("entry");
+            let base = e.offset_in_asset_wad as usize;
+            if base == 0 || base + 0x48 > core.len() {
+                continue;
+            }
+            let Ok(hdr) = TieClassHeader::parse(&core[base..base + 0x48]) else {
+                continue;
+            };
+            total += 1;
+            let mid = hdr.mid_dist;
+            let far = hdr.far_dist;
+            if mid >= far {
+                bad += 1;
+                if mid == 8192.0 && far == 8190.0 {
+                    exact += 1;
+                }
+                *near.entry(hdr.near_dist as u32).or_insert(0) += 1;
+            }
+        }
+    }
+
+    eprintln!(
+        "tie LOD ordering: {total} classes, {bad} out of order ({bad} * 100.0 / {total:.2} = {:.2}%), of which {exact} are mid==8192.0 && far==8190.0",
+        bad as f64 * 100.0 / total as f64
+    );
+    for (&k, &v) in &near {
+        eprintln!("  near_dist={k} x{v}");
+    }
+
+    assert_eq!(total, 1864, "tie class count changed: {total}");
+    assert_eq!(bad, 80, "out-of-order classes moved to {bad}");
+    assert_eq!(exact, 80, "only {exact} of {bad} are mid=8192.0 & far=8190.0");
+    assert_eq!(near.len(), 6, "near-distance histogram changed: {near:?}");
+}
+
 fn ram_image() -> Option<Vec<u8>> {
     let p = std::env::var_os("GC_SSTATE")?;
     gc_trace::Savestate::open(std::path::Path::new(&p))

crates/gc-formats/src/tie.rs

@@ -18,12 +18,16 @@
 //! the remainder would repeat the pattern this project keeps running into: a
 //! field order that produces plausible output and is wrong.
 //!
-//! Evidence for what is decoded, over 320 classes across five levels:
+//! Evidence for what is decoded, over 1,864 classes on all 27 levels:
 //!
-//! * `o_class` at `0x44` equals the core index's class number: **320 of 320**.
+//! * `o_class` at `0x44` equals the core index's class number: **1,864 of 1,864**.
 //!   A coincidence is not a plausible explanation for that.
-//! * the LOD distances are ordered `0 < near < mid < far`: 315 of 320. The
-//!   five exceptions are not yet explained and are worth chasing.
+//! * the LOD distances are ordered `0 < near < mid < far` on most classes, but
+//!   **80 of 1,864** break it in an exact pattern: `mid_dist` is exactly
+//!   `8192.0` and `far_dist` is exactly `8190.0` in every one. Those classes
+//!   have `far < mid`, so `lod_for_depth` can never return 2 (the `far` test is
+//!   reached only after the `mid` test). Effectively two LOD tiers, not three.
+//!   See `docs/plan/level-assets.md` for the test.
 
 use crate::buf::{Buf, Error, ErrorKind, Result};
 use crate::level_core::ClassEntry;