feat(midi): convert_midi_tempo_map — extract tempos, time signatures, beat grid (#796)

* feat(midi): convert_midi_tempo_map — extract tempos, time signatures, beat grid

The keys/drums MIDI converters always built a tempo-aware tick->seconds
map internally (to bake note times) and then discarded it — and never
read time_signature meta at all — so every MIDI import landed with no
bars, no measures, and an implied 4/4 no matter what the file said.

New lib/midi_import.py helper convert_midi_tempo_map(midi_path,
track_index) extracts the grid a .mid actually carries:

- tempos: {time, bpm} per tempo event (deduped per tick, 120 default)
- time_signatures: {time, ts: [num, den]} — the song-timeline shape
- beats: one row per beat on the editor grid shape — numbered downbeats
  with a den hint, measure:-1 interior beats; the beat unit follows the
  active signature (6/8 = six eighth-note rows per bar)

Event scope mirrors _build_tick_to_seconds: SMF type 0/1 merge meta
from all tracks, type 2 reads ONLY the chosen track (independent
timelines — callers must never share one grid across type-2 tracks).
Mid-bar signature events (ill-formed but seen in the wild) apply at the
next bar boundary. All times compute from absolute ticks through the
cumulative tempo table and round once at emit — rounding error never
accumulates with song length. A bar-count safety valve guards malformed
files. Consumer: the editor's multitrack MIDI import (tempo-seed
dialog, feedBack-plugin-editor roadmap Phase 3).

Tests: tests/test_midi_tempo_map.py — 10 cases driving the REAL
function against real .mid files built with mido (no stubs): default
grid, tempo bends, 500-bar rounding-drift check, 4/4->3/4 and 6/8
signatures, mid-bar signature deferral, duplicate-tick last-wins,
type-2 meta isolation from a bogus sibling track, empty files, grid
coverage bounds. Full MIDI-adjacent suite green: 55 passed
(test_midi_tempo_map + test_midi_import + test_midi_import_drums +
test_gp2midi) under the project venv.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01JEoFeTPSnz4NpwwCG52hnu

* fix(midi): make convert_midi_tempo_map robust — real division guard, symmetric tempo default, single-pass meta

- Push the ticks-per-beat fallback into _build_tick_to_seconds (the single
  place ticks route through), guarding on `> 0` so a division==0 (malformed)
  or negative SMPTE-division header no longer raises ZeroDivisionError or
  walks the beat grid into negative times. Mirror the guard at the
  convert_midi_tempo_map beat_ticks site. The local `or 480` was cosmetic
  before — the closure still divided by the raw division.
- Seed tempos_out with a 120 BPM row at time 0 when the first set_tempo
  lands after tick 0, symmetric with the (0, 4, 4) time-signature default,
  so the sidecar matches the grid the head of the song actually used.
- Collapse the duplicated meta_source/note_source lists into one
  source_tracks walked in a single pass (meta collection + end_tick).
- Fix a weak assert in test_mid_bar_signature_applies_at_the_next_boundary
  (operator-precedence `(A and B) or C`) to assert den == 4 outright.
- Add tests: non-positive division (0 + negative SMPTE), first tempo after
  start seeds 120@0, explicit SMF type-0 file, and the _TEMPO_MAP_MAX_BARS
  safety valve.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

---------

Co-authored-by: ChrisBeWithYou <chris@rifflarr.local>
Co-authored-by: Claude Fable 5 <noreply@anthropic.com>
Co-authored-by: byrongamatos <xasiklas@gmail.com>

lib/midi_import.py

@@ -352,7 +352,14 @@ def _build_tick_to_seconds(midi: mido.MidiFile, track_index: int) -> Callable[[i
       - type 1: parallel tracks share the timeline; merge tempo events.
       - type 2: independent timelines; tempo only from the chosen track.
     """
-    ticks_per_beat = midi.ticks_per_beat
+    # A metrical header carries positive ticks-per-beat. mido reads the SMF
+    # division as a signed short, so an SMPTE-division file surfaces as a
+    # negative value and a malformed header as 0 — both make the two division
+    # sites below divide by a non-positive number (ZeroDivisionError, or
+    # negative seconds that send the bar walk off the rails). Fall back to the
+    # SMF default here, the single place every caller routes ticks through, so
+    # each caller's own fallback is real rather than cosmetic.
+    ticks_per_beat = midi.ticks_per_beat if midi.ticks_per_beat > 0 else 480
     raw_events: list[tuple[int, int]] = [(0, 500000)]  # default 120 BPM
     midi_type = getattr(midi, "type", 1)
     tempo_source = (
@@ -393,6 +400,141 @@ def _build_tick_to_seconds(midi: mido.MidiFile, track_index: int) -> Callable[[i
     return tick_to_seconds
 
 
+# Safety valve for the bar walk below: a malformed SMF (absurd tempo + long
+# trailing meta) could otherwise imply millions of bars. Real charts sit
+# orders of magnitude below this.
+_TEMPO_MAP_MAX_BARS = 20000
+
+
+def convert_midi_tempo_map(midi_path: str, track_index: int = 0) -> dict:
+    """Extract the song-timeline grid a `.mid` file carries: tempos, time
+    signatures, and a full beat grid — the data the note converters here
+    always computed internally (to bake note times) and then threw away,
+    which left every MIDI import with no bars, no measures, and an implied
+    4/4 no matter what the file said.
+
+    Returns ``{"tempos": [...], "time_signatures": [...], "beats": [...]}``:
+
+    - ``tempos``: ``{time, bpm}`` per tempo event (deduped per tick).
+    - ``time_signatures``: ``{time, ts: [num, den]}`` per signature event —
+      the song-timeline sidecar shape (feedpak-spec §7.4).
+    - ``beats``: one row per beat on the editor grid shape — downbeats carry
+      a running ``measure`` (1, 2, 3, …) plus a ``den`` hint (the signature
+      denominator), interior beats carry ``measure: -1``. The beat unit
+      follows the active signature (6/8 ⇒ six eighth-note rows per bar).
+
+    Event scope mirrors ``_build_tick_to_seconds``: SMF type 0/1 merge meta
+    from all tracks (shared timeline); type 2 reads ONLY ``track_index``
+    (independent timelines — callers must never share one grid across
+    type-2 tracks). Signature changes apply at the NEXT bar boundary when a
+    file places one mid-bar (ill-formed but seen in the wild). All times
+    are computed from absolute ticks through the cumulative tempo table and
+    rounded once at emit — rounding error never accumulates with song
+    length. An SMF with no note events yields empty ``beats``.
+    """
+    midi = mido.MidiFile(midi_path)
+    # Positive for metrical files; 0 (malformed) or negative (SMPTE division,
+    # read as a signed short) otherwise — fall back so beat_ticks below stays
+    # sane, mirroring the guard inside _build_tick_to_seconds.
+    ticks_per_beat = midi.ticks_per_beat if midi.ticks_per_beat > 0 else 480
+    midi_type = getattr(midi, "type", 1)
+    # Same scope both converters use: type 2 reads only the chosen track
+    # (independent timelines); type 0/1 merge all tracks (shared timeline).
+    source_tracks = (
+        [midi.tracks[track_index]] if midi_type == 2 else midi.tracks
+    )
+    tick_to_seconds = _build_tick_to_seconds(midi, track_index)
+
+    # ── collect meta + the end of musical content in one pass ────────────
+    sig_events: list[tuple[int, int, int]] = []
+    tempo_events: list[tuple[int, int]] = []
+    end_tick = 0
+    for tr in source_tracks:
+        abs_tick = 0
+        for msg in tr:
+            abs_tick += msg.time
+            if msg.type == "time_signature":
+                num = int(getattr(msg, "numerator", 4) or 4)
+                den = int(getattr(msg, "denominator", 4) or 4)
+                if num > 0 and den > 0:
+                    sig_events.append((abs_tick, num, den))
+            elif msg.type == "set_tempo":
+                tempo_events.append((abs_tick, int(msg.tempo)))
+            elif msg.type in ("note_on", "note_off"):
+                end_tick = max(end_tick, abs_tick)
+
+    # Dedupe at equal ticks (last wins), matching the tempo-table rule.
+    sig_events.sort(key=lambda e: e[0])
+    sigs: list[tuple[int, int, int]] = []
+    for ev in sig_events:
+        if sigs and sigs[-1][0] == ev[0]:
+            sigs[-1] = ev
+        else:
+            sigs.append(ev)
+    if not sigs or sigs[0][0] > 0:
+        sigs.insert(0, (0, 4, 4))
+
+    tempo_events.sort(key=lambda e: e[0])
+    seen_tempo_ticks: dict[int, int] = {}
+    for ev_tick, ev_tempo in tempo_events:
+        seen_tempo_ticks[ev_tick] = ev_tempo
+    sorted_tempo_ticks = sorted(seen_tempo_ticks)
+    tempos_out: list[dict] = []
+    # Seed the MIDI default (120 BPM) at time 0 when the first tempo event
+    # lands after the start (or there are none). The beat grid already runs
+    # at 120 for the head of the song, so the sidecar must say so too —
+    # symmetric with the (0, 4, 4) default seeded into the signatures above.
+    if not sorted_tempo_ticks or sorted_tempo_ticks[0] > 0:
+        tempos_out.append({"time": 0.0, "bpm": 120.0})
+    for ev_tick in sorted_tempo_ticks:
+        tempos_out.append({
+            "time": round(tick_to_seconds(ev_tick), 3),
+            "bpm": round(60_000_000.0 / seen_tempo_ticks[ev_tick], 3),
+        })
+
+    time_signatures_out = [
+        {"time": round(tick_to_seconds(t), 3), "ts": [num, den]}
+        for t, num, den in sigs
+    ]
+
+    # ── walk bars from tick 0 to the end of the notes ────────────────────
+    beats: list[dict] = []
+    if end_tick > 0:
+        cur_tick = 0.0
+        measure = 1
+        sig_idx = 0
+        while cur_tick < end_tick and measure <= _TEMPO_MAP_MAX_BARS:
+            # Active signature: the latest event at or before this bar's
+            # start. Mid-bar events wait for the next boundary by
+            # construction (we only re-read between bars).
+            while (sig_idx + 1 < len(sigs)
+                    and sigs[sig_idx + 1][0] <= cur_tick + 1e-6):
+                sig_idx += 1
+            _, num, den = sigs[sig_idx]
+            beat_ticks = ticks_per_beat * 4.0 / den
+            beats.append({
+                "time": round(tick_to_seconds(int(round(cur_tick))), 3),
+                "measure": measure,
+                "den": den,
+            })
+            for k in range(1, num):
+                sub_tick = cur_tick + k * beat_ticks
+                if sub_tick >= end_tick:
+                    break
+                beats.append({
+                    "time": round(tick_to_seconds(int(round(sub_tick))), 3),
+                    "measure": -1,
+                })
+            cur_tick += num * beat_ticks
+            measure += 1
+
+    return {
+        "tempos": tempos_out,
+        "time_signatures": time_signatures_out,
+        "beats": beats,
+    }
+
+
 # ── Drum track listing (channel-9 only) ──────────────────────────────────────
 
 # Velocity below this is treated as a ghost note. GM doesn't have an explicit