// Package seeddefs holds the canonical seed definitions for tracks and
// cars. It lives in its own package (no postgres dependencies) so both
// the catalog tests and the scripts/genseed SQL generator can consume
// the same source-of-truth data.
package seeddefs

import "math"

// Default tracks and cars shipped with the PoC. All entries are
// visibility=system and therefore immutable from the API.
//
// Tracks: five real F1 circuits (2024 calendar), simplified to fit a
// 4.5 × 3.2 m bounding box at 1/27 scale. Each track keeps a
// recognisable shape and characteristic corners.
//
// Cars: five real F1 2024 teams. Length / width / weight are real
// (1/24 scale), power figures are real (full-scale 1.6L V6 hybrid
// turbo, ~1000 hp combined MGU-K + ICE).
func DefaultTracks() []Track {
	return []Track{
		Monaco(),
		BarcelonaCatalunya(),
		AustriaRedBullRing(),
		GreatBritainSilverstone(),
		BelgiumSpa(),
	}
}

func DefaultCars() []Car {
	return []Car{
		RedBullRB20(),
		FerrariSF24(),
		McLarenMCL38(),
		MercedesW15(),
		AstonMartinAMR24(),
	}
}

// ---------------------------------------------------------------------------
// Tracks
//
// Coordinates: lower-left origin, metres. Bounds must fit inside a
// 4.5 × 3.2 m room.
//
// Conventions:
//   - closed loop, samples[i] and samples[0] are not duplicated
//   - speed_ms is a suggested cornering speed (lower = tighter)
//   - curvature = 1/radius; 0 = straight
// ---------------------------------------------------------------------------

// Monaco — narrow street circuit, hairpins, tight corners.
// Length ≈ 3.337 km IRL → simplified to 4.0 × 2.6 m.
func Monaco() Track {
	const (
		lengthM = 4.0
		widthM  = 2.6
	)
	// Famous corners: Sainte-Devote, Casino Square, Mirabeau, Loews hairpin,
	// Portier, Tunnel, Nouvelle chicane, Tabac, Swimming pool, Rascasse, Anthony Noghes.
	// Lower speeds through Monaco → 1.8..3.2 m/s.
	wps := []Waypoint{
		// Start/finish straight (Sainte-Devote approach).
		{X: 0.4, Y: 2.2, HeadingRad: 0, SpeedMs: 3.2, Curvature: 0},
		{X: 1.1, Y: 2.2, HeadingRad: 0, SpeedMs: 3.0, Curvature: 0},
		// Sainte-Devote (right kink).
		{X: 1.5, Y: 2.05, HeadingRad: -0.4, SpeedMs: 2.4, Curvature: 1.2},
		{X: 1.7, Y: 1.85, HeadingRad: -0.9, SpeedMs: 2.2, Curvature: 1.8},
		// Up the hill to Casino / Massenet.
		{X: 1.55, Y: 1.55, HeadingRad: -1.6, SpeedMs: 2.0, Curvature: 1.4},
		{X: 1.25, Y: 1.4, HeadingRad: -2.4, SpeedMs: 2.1, Curvature: 1.2},
		// Casino Square (slow left).
		{X: 0.95, Y: 1.55, HeadingRad: math.Pi, SpeedMs: 1.9, Curvature: 1.6},
		// Mirabeau hairpin (right).
		{X: 0.75, Y: 1.85, HeadingRad: 2.0, SpeedMs: 1.8, Curvature: 2.2},
		// Loews hairpin (tight left).
		{X: 0.95, Y: 2.15, HeadingRad: 2.6, SpeedMs: 1.8, Curvature: 2.6},
		{X: 1.2, Y: 2.4, HeadingRad: -2.8, SpeedMs: 2.1, Curvature: 1.4},
		// Portier (right kink onto the straight).
		{X: 1.6, Y: 2.5, HeadingRad: -3.0, SpeedMs: 2.4, Curvature: 1.0},
		// Tunnel straight.
		{X: 2.6, Y: 2.5, HeadingRad: 0, SpeedMs: 3.2, Curvature: 0},
		{X: 3.4, Y: 2.5, HeadingRad: 0, SpeedMs: 3.2, Curvature: 0},
		// Nouvelle chicane (fast left-right).
		{X: 3.6, Y: 2.25, HeadingRad: -0.5, SpeedMs: 2.6, Curvature: 1.5},
		{X: 3.55, Y: 1.95, HeadingRad: 0.4, SpeedMs: 2.6, Curvature: 1.5},
		// Tabac (right).
		{X: 3.3, Y: 1.75, HeadingRad: 1.0, SpeedMs: 2.3, Curvature: 1.4},
		// Swimming pool (left-right-left).
		{X: 2.95, Y: 1.55, HeadingRad: 1.7, SpeedMs: 2.1, Curvature: 1.8},
		{X: 2.6, Y: 1.65, HeadingRad: 2.6, SpeedMs: 2.1, Curvature: 1.8},
		{X: 2.4, Y: 1.9, HeadingRad: -2.7, SpeedMs: 2.3, Curvature: 1.4},
		// Rascasse (left).
		{X: 2.4, Y: 2.2, HeadingRad: -3.0, SpeedMs: 2.2, Curvature: 1.6},
		// Anthony Noghes (left onto pit straight).
		{X: 2.6, Y: 2.4, HeadingRad: 2.8, SpeedMs: 2.5, Curvature: 1.0},
		// Pit straight (back to start).
		{X: 3.2, Y: 2.4, HeadingRad: 0, SpeedMs: 3.2, Curvature: 0},
		{X: 3.7, Y: 2.4, HeadingRad: 0, SpeedMs: 3.2, Curvature: 0},
		{X: 3.95, Y: 2.3, HeadingRad: -0.3, SpeedMs: 2.8, Curvature: 0.8},
	}
	b := ComputeBounds(wps)
	return Track{
		ID:            "monaco",
		Name:          "Monaco",
		Description:   "Circuit de Monaco. Narrow street circuit, tight hairpins, no room for error.",
		AuthorID:      "system",
		Visibility:    "system",
		Scale:         27,
		LengthM:       b.LengthM,
		WidthM:        b.WidthM,
		LaneWidthM:    0.18,
		Surface:       "tile",
		Tags:          []string{"f1", "street", "tight", "slow", "monaco"},
		Centerline:    wps,
		Bounds:        b,
		BestLapHolder: "Verstappen",
	}
}

// BarcelonaCatalunya — mix of high-speed and technical, used for testing.
// Length ≈ 4.675 km IRL → 4.3 × 2.9 m.
func BarcelonaCatalunya() Track {
	const (
		lengthM = 4.3
		widthM  = 2.9
	)
	wps := []Waypoint{
		// Main straight.
		{X: 0.3, Y: 0.4, HeadingRad: 0, SpeedMs: 4.5, Curvature: 0},
		{X: 1.4, Y: 0.4, HeadingRad: 0, SpeedMs: 4.5, Curvature: 0},
		// Turn 1 — Elf (right hairpin).
		{X: 1.7, Y: 0.65, HeadingRad: math.Pi / 2, SpeedMs: 2.2, Curvature: 1.6},
		{X: 1.5, Y: 0.95, HeadingRad: math.Pi, SpeedMs: 2.0, Curvature: 2.0},
		// Turn 2-3 — right kink.
		{X: 1.2, Y: 1.1, HeadingRad: math.Pi + 0.3, SpeedMs: 2.6, Curvature: 1.0},
		{X: 0.95, Y: 1.0, HeadingRad: math.Pi + 0.9, SpeedMs: 2.6, Curvature: 1.0},
		// Turn 4 — Repsol (left).
		{X: 0.8, Y: 1.2, HeadingRad: -math.Pi / 2, SpeedMs: 2.4, Curvature: 1.2},
		// Turn 5 — fast right.
		{X: 1.05, Y: 1.5, HeadingRad: 0, SpeedMs: 3.2, Curvature: 0.7},
		// Turn 7-8 — slow left-right.
		{X: 1.3, Y: 1.65, HeadingRad: math.Pi / 2, SpeedMs: 2.4, Curvature: 1.0},
		{X: 1.15, Y: 1.85, HeadingRad: math.Pi, SpeedMs: 2.4, Curvature: 1.0},
		// Turn 9-10 — Campsa (fast right).
		{X: 1.4, Y: 2.0, HeadingRad: math.Pi - 0.5, SpeedMs: 3.0, Curvature: 0.7},
		{X: 1.7, Y: 2.0, HeadingRad: math.Pi - 1.0, SpeedMs: 3.0, Curvature: 0.7},
		// Turn 12-13 — long right.
		{X: 1.95, Y: 2.2, HeadingRad: math.Pi / 2, SpeedMs: 2.8, Curvature: 0.5},
		{X: 1.65, Y: 2.5, HeadingRad: 0.3, SpeedMs: 2.8, Curvature: 0.5},
		// Turn 14-15 — fast right curve.
		{X: 2.2, Y: 2.7, HeadingRad: 0.7, SpeedMs: 3.2, Curvature: 0.5},
		{X: 2.8, Y: 2.7, HeadingRad: 1.1, SpeedMs: 3.4, Curvature: 0.5},
		// Turn 16 — La Caixa (right hairpin).
		{X: 3.1, Y: 2.5, HeadingRad: math.Pi / 2 + 0.4, SpeedMs: 2.2, Curvature: 1.4},
		{X: 2.95, Y: 2.2, HeadingRad: math.Pi + 0.4, SpeedMs: 2.2, Curvature: 1.4},
		// Back straight.
		{X: 3.3, Y: 1.9, HeadingRad: 0, SpeedMs: 4.0, Curvature: 0},
		{X: 4.0, Y: 1.9, HeadingRad: 0, SpeedMs: 4.0, Curvature: 0},
		// Turn 16bis-17 (chicane before start).
		{X: 4.05, Y: 1.6, HeadingRad: -math.Pi / 2, SpeedMs: 2.4, Curvature: 1.4},
		{X: 3.8, Y: 1.4, HeadingRad: math.Pi, SpeedMs: 2.4, Curvature: 1.4},
		{X: 3.5, Y: 1.5, HeadingRad: math.Pi + math.Pi/4, SpeedMs: 2.6, Curvature: 1.0},
		// Approach to start.
		{X: 3.1, Y: 1.25, HeadingRad: -math.Pi / 2 - 0.4, SpeedMs: 3.0, Curvature: 0.7},
		{X: 2.7, Y: 1.0, HeadingRad: -math.Pi / 2 - 0.9, SpeedMs: 3.0, Curvature: 0.7},
		{X: 2.3, Y: 0.7, HeadingRad: math.Pi + 0.4, SpeedMs: 3.4, Curvature: 0.5},
		{X: 1.6, Y: 0.5, HeadingRad: math.Pi + 0.2, SpeedMs: 3.6, Curvature: 0.4},
		{X: 0.9, Y: 0.42, HeadingRad: 0, SpeedMs: 4.0, Curvature: 0},
	}
	b := ComputeBounds(wps)
	return Track{
		ID:            "barcelona-catalunya",
		Name:          "Barcelona-Catalunya",
		Description:   "Circuit de Barcelona-Catalunya. Mix of high-speed corners and technical chicanes.",
		AuthorID:      "system",
		Visibility:    "system",
		Scale:         27,
		LengthM:       b.LengthM,
		WidthM:        b.WidthM,
		LaneWidthM:    0.18,
		Surface:       "tile",
		Tags:          []string{"f1", "balanced", "testing", "barcelona"},
		Centerline:    wps,
		Bounds:        b,
		BestLapHolder: "Verstappen",
	}
}

// AustriaRedBullRing — short, fast, lots of elevation IRL.
// Length ≈ 4.318 km IRL → 4.0 × 2.4 m.
func AustriaRedBullRing() Track {
	const (
		lengthM = 4.0
		widthM  = 2.4
	)
	wps := []Waypoint{
		// Main straight.
		{X: 0.3, Y: 0.4, HeadingRad: 0, SpeedMs: 4.8, Curvature: 0},
		{X: 1.6, Y: 0.4, HeadingRad: 0, SpeedMs: 4.8, Curvature: 0},
		// Turn 1 — right hairpin.
		{X: 1.85, Y: 0.65, HeadingRad: math.Pi / 2, SpeedMs: 2.0, Curvature: 1.8},
		{X: 1.6, Y: 0.95, HeadingRad: math.Pi, SpeedMs: 2.0, Curvature: 1.8},
		// Turn 2 — fast right.
		{X: 1.3, Y: 1.0, HeadingRad: math.Pi + 0.5, SpeedMs: 3.0, Curvature: 0.7},
		// Turn 3 — left.
		{X: 1.05, Y: 1.2, HeadingRad: -math.Pi / 2, SpeedMs: 2.6, Curvature: 1.0},
		// Turn 4 — Remus (fast uphill right).
		{X: 1.4, Y: 1.4, HeadingRad: 0, SpeedMs: 3.2, Curvature: 0.5},
		{X: 1.85, Y: 1.4, HeadingRad: math.Pi / 2 + 0.2, SpeedMs: 3.2, Curvature: 0.5},
		// Turn 5-6 — fast right-left.
		{X: 2.1, Y: 1.65, HeadingRad: math.Pi, SpeedMs: 3.0, Curvature: 0.7},
		{X: 2.0, Y: 1.85, HeadingRad: -math.Pi / 2, SpeedMs: 3.0, Curvature: 0.7},
		// Turn 7 — right hairpin.
		{X: 2.25, Y: 2.05, HeadingRad: 0, SpeedMs: 2.0, Curvature: 1.8},
		{X: 2.4, Y: 2.0, HeadingRad: math.Pi / 2, SpeedMs: 2.0, Curvature: 1.8},
		// Turn 8 — left hairpin.
		{X: 2.4, Y: 2.2, HeadingRad: math.Pi, SpeedMs: 2.0, Curvature: 1.8},
		{X: 2.2, Y: 2.3, HeadingRad: -math.Pi / 2, SpeedMs: 2.0, Curvature: 1.8},
		// Turn 9 — back straight start (left kink).
		{X: 2.55, Y: 2.4, HeadingRad: -0.2, SpeedMs: 3.4, Curvature: 0.4},
		{X: 3.0, Y: 2.4, HeadingRad: 0, SpeedMs: 4.0, Curvature: 0},
		{X: 3.5, Y: 2.4, HeadingRad: 0, SpeedMs: 4.5, Curvature: 0},
		// Turn 10 — fast right.
		{X: 3.85, Y: 2.15, HeadingRad: math.Pi / 2 + 0.2, SpeedMs: 3.4, Curvature: 0.6},
		// Back to pit straight via Schumacher esses.
		{X: 3.6, Y: 1.8, HeadingRad: math.Pi, SpeedMs: 3.0, Curvature: 0.8},
		{X: 3.25, Y: 1.85, HeadingRad: math.Pi + 0.6, SpeedMs: 3.0, Curvature: 0.8},
		{X: 3.0, Y: 1.6, HeadingRad: -math.Pi / 2 - 0.4, SpeedMs: 3.2, Curvature: 0.6},
		{X: 2.6, Y: 1.4, HeadingRad: -math.Pi, SpeedMs: 3.4, Curvature: 0.5},
		{X: 2.0, Y: 1.2, HeadingRad: math.Pi - 0.5, SpeedMs: 3.6, Curvature: 0.4},
		{X: 1.4, Y: 0.8, HeadingRad: math.Pi - 0.2, SpeedMs: 3.8, Curvature: 0.3},
		{X: 0.8, Y: 0.5, HeadingRad: 0, SpeedMs: 4.2, Curvature: 0.2},
	}
	b := ComputeBounds(wps)
	return Track{
		ID:            "austria-redbull-ring",
		Name:          "Austria (Red Bull Ring)",
		Description:   "Red Bull Ring. Short, fast, three straights separated by hairpins.",
		AuthorID:      "system",
		Visibility:    "system",
		Scale:         27,
		LengthM:       b.LengthM,
		WidthM:        b.WidthM,
		LaneWidthM:    0.18,
		Surface:       "wood",
		Tags:          []string{"f1", "short", "fast", "austria"},
		Centerline:    wps,
		Bounds:        b,
		BestLapHolder: "Verstappen",
	}
}

// GreatBritainSilverstone — fast, flowing, essex corners.
// Length ≈ 5.891 km IRL → 4.4 × 3.0 m.
func GreatBritainSilverstone() Track {
	const (
		lengthM = 4.4
		widthM  = 3.0
	)
	wps := []Waypoint{
		// Main straight (Wellington / pit straight), bottom of room.
		{X: 0.3, Y: 0.3, HeadingRad: 0, SpeedMs: 5.0, Curvature: 0},
		{X: 2.4, Y: 0.3, HeadingRad: 0, SpeedMs: 5.0, Curvature: 0},
		// Turn 1 — Abbey (right).
		{X: 2.8, Y: 0.45, HeadingRad: math.Pi / 2, SpeedMs: 3.0, Curvature: 0.8},
		// Turn 2 — Farm Curve (left).
		{X: 2.6, Y: 0.8, HeadingRad: math.Pi, SpeedMs: 3.4, Curvature: 0.6},
		// Turn 3 — Village (right kink).
		{X: 2.95, Y: 1.05, HeadingRad: math.Pi / 2 + 0.5, SpeedMs: 3.2, Curvature: 0.7},
		// Turn 4 — The Loop (right hairpin).
		{X: 3.3, Y: 1.3, HeadingRad: 0, SpeedMs: 2.2, Curvature: 1.6},
		{X: 3.6, Y: 1.15, HeadingRad: -math.Pi / 2, SpeedMs: 2.2, Curvature: 1.6},
		// Turn 5 — Aintree (fast left).
		{X: 3.6, Y: 0.8, HeadingRad: -math.Pi, SpeedMs: 3.0, Curvature: 0.7},
		// Turn 6 — Brooklands (right).
		{X: 3.85, Y: 0.55, HeadingRad: -math.Pi / 2, SpeedMs: 2.6, Curvature: 1.0},
		// Turn 7 — Luffield (long right).
		{X: 3.55, Y: 0.25, HeadingRad: 0, SpeedMs: 2.4, Curvature: 1.0},
		{X: 3.25, Y: 0.25, HeadingRad: math.Pi / 2, SpeedMs: 2.4, Curvature: 1.0},
		// Turn 8-9 — Woodcote (right kink onto pit straight).
		{X: 3.05, Y: 0.55, HeadingRad: math.Pi / 2 + 0.3, SpeedMs: 3.4, Curvature: 0.5},
		{X: 2.85, Y: 0.45, HeadingRad: math.Pi, SpeedMs: 4.0, Curvature: 0.3},
		// (mid-pit straight into Copse corner)
		{X: 1.8, Y: 0.3, HeadingRad: 0, SpeedMs: 4.6, Curvature: 0},
		// Copse (fast right).
		{X: 1.2, Y: 0.45, HeadingRad: -math.Pi / 2 - 0.2, SpeedMs: 3.8, Curvature: 0.4},
		// Maggotts (right curve, swept).
		{X: 1.0, Y: 0.85, HeadingRad: -math.Pi - 0.4, SpeedMs: 3.6, Curvature: 0.5},
		// Beckets (left hairpin-ish).
		{X: 0.7, Y: 1.15, HeadingRad: math.Pi / 2 + 0.3, SpeedMs: 2.4, Curvature: 1.2},
		{X: 0.5, Y: 0.9, HeadingRad: 0, SpeedMs: 2.6, Curvature: 0.9},
		// Chapel (right kink).
		{X: 0.7, Y: 0.65, HeadingRad: -math.Pi / 2, SpeedMs: 3.0, Curvature: 0.7},
		// Hangar (left).
		{X: 0.45, Y: 0.45, HeadingRad: -math.Pi - 0.4, SpeedMs: 2.6, Curvature: 1.0},
		// Stowe (right).
		{X: 0.75, Y: 1.0, HeadingRad: math.Pi / 2 - 0.4, SpeedMs: 2.4, Curvature: 1.0},
		// Vale (left kink).
		{X: 0.5, Y: 1.5, HeadingRad: -math.Pi - 0.4, SpeedMs: 2.6, Curvature: 0.8},
		// Club (right kink onto Wellington).
		{X: 0.3, Y: 1.15, HeadingRad: -math.Pi / 2, SpeedMs: 2.4, Curvature: 1.0},
		// Top return straight + kink back to Wellington.
		{X: 0.7, Y: 1.6, HeadingRad: math.Pi / 4, SpeedMs: 3.4, Curvature: 0.5},
		{X: 2.0, Y: 1.95, HeadingRad: math.Pi / 2 + 0.4, SpeedMs: 3.0, Curvature: 0.7},
		{X: 3.0, Y: 2.4, HeadingRad: math.Pi + 0.2, SpeedMs: 3.4, Curvature: 0.4},
		{X: 2.4, Y: 2.65, HeadingRad: -math.Pi / 2 - 0.3, SpeedMs: 4.0, Curvature: 0.3},
		{X: 1.4, Y: 2.6, HeadingRad: -math.Pi, SpeedMs: 4.4, Curvature: 0.2},
		{X: 0.5, Y: 2.3, HeadingRad: -math.Pi + 0.3, SpeedMs: 4.8, Curvature: 0.2},
		{X: 0.3, Y: 1.7, HeadingRad: -math.Pi / 2 + 0.3, SpeedMs: 5.0, Curvature: 0.1},
	}
	b := ComputeBounds(wps)
	return Track{
		ID:            "great-britain-silverstone",
		Name:          "Great Britain (Silverstone)",
		Description:   "Silverstone Circuit. Fast, flowing corners; home of British motorsport.",
		AuthorID:      "system",
		Visibility:    "system",
		Scale:         27,
		LengthM:       b.LengthM,
		WidthM:        b.WidthM,
		LaneWidthM:    0.18,
		Surface:       "carpet",
		Tags:          []string{"f1", "fast", "flowing", "silverstone"},
		Centerline:    wps,
		Bounds:        b,
		BestLapHolder: "Hamilton",
	}
}

// BelgiumSpa — long, fast, Eau Rouge / Raidillon, varied weather.
// Length ≈ 7.004 km IRL → 4.5 × 3.0 m.
func BelgiumSpa() Track {
	const (
		lengthM = 4.5
		widthM  = 3.0
	)
	wps := []Waypoint{
		// Main straight (La Source exit).
		{X: 0.4, Y: 0.5, HeadingRad: 0, SpeedMs: 4.8, Curvature: 0},
		{X: 1.6, Y: 0.5, HeadingRad: 0, SpeedMs: 4.8, Curvature: 0},
		// Eau Rouge / Raidillon (fast uphill left-right-left).
		{X: 1.95, Y: 0.6, HeadingRad: 0.3, SpeedMs: 4.2, Curvature: 0.5},
		{X: 2.2, Y: 0.95, HeadingRad: 0.9, SpeedMs: 4.0, Curvature: 0.6},
		{X: 2.1, Y: 1.3, HeadingRad: math.Pi + 0.4, SpeedMs: 4.0, Curvature: 0.6},
		// Kemmel straight.
		{X: 2.7, Y: 1.5, HeadingRad: 0, SpeedMs: 5.0, Curvature: 0},
		{X: 3.5, Y: 1.5, HeadingRad: 0, SpeedMs: 5.0, Curvature: 0},
		// Les Combes (chicane).
		{X: 3.85, Y: 1.3, HeadingRad: -math.Pi / 2, SpeedMs: 2.4, Curvature: 1.4},
		{X: 3.6, Y: 1.1, HeadingRad: math.Pi + 0.3, SpeedMs: 2.6, Curvature: 1.2},
		{X: 3.3, Y: 1.25, HeadingRad: math.Pi + 0.9, SpeedMs: 2.6, Curvature: 1.2},
		// Malmedy (fast right sweep).
		{X: 3.5, Y: 1.55, HeadingRad: math.Pi / 2, SpeedMs: 3.6, Curvature: 0.4},
		// Rivage (right hairpin).
		{X: 3.25, Y: 1.85, HeadingRad: 0, SpeedMs: 2.2, Curvature: 1.6},
		{X: 3.05, Y: 1.7, HeadingRad: -math.Pi / 2, SpeedMs: 2.4, Curvature: 1.4},
		// Campus (left kink).
		{X: 3.25, Y: 1.5, HeadingRad: 0, SpeedMs: 3.0, Curvature: 0.7},
		// Stavelot (fast right).
		{X: 3.7, Y: 1.65, HeadingRad: math.Pi / 2 + 0.3, SpeedMs: 3.4, Curvature: 0.5},
		// Up to Blanchimont (long right).
		{X: 4.1, Y: 2.0, HeadingRad: math.Pi / 2 + 0.6, SpeedMs: 4.0, Curvature: 0.3},
		// Blanchimont (very fast right kink).
		{X: 4.25, Y: 2.4, HeadingRad: math.Pi + 0.4, SpeedMs: 4.6, Curvature: 0.3},
		// Bus stop chicane (slow left-right).
		{X: 4.0, Y: 2.7, HeadingRad: -math.Pi / 2 - 0.3, SpeedMs: 2.4, Curvature: 1.4},
		{X: 3.7, Y: 2.55, HeadingRad: math.Pi, SpeedMs: 2.4, Curvature: 1.4},
		{X: 3.55, Y: 2.75, HeadingRad: math.Pi + 0.7, SpeedMs: 2.4, Curvature: 1.4},
		// Back to La Source hairpin.
		{X: 3.05, Y: 2.7, HeadingRad: -math.Pi / 2, SpeedMs: 2.0, Curvature: 1.8},
		{X: 2.85, Y: 2.45, HeadingRad: 0, SpeedMs: 2.0, Curvature: 1.8},
		// Pit straight.
		{X: 2.0, Y: 2.2, HeadingRad: math.Pi - 0.3, SpeedMs: 3.6, Curvature: 0.3},
		{X: 1.2, Y: 1.6, HeadingRad: math.Pi - 0.6, SpeedMs: 4.0, Curvature: 0.2},
		{X: 0.6, Y: 1.05, HeadingRad: math.Pi - 0.3, SpeedMs: 4.4, Curvature: 0.2},
	}
	b := ComputeBounds(wps)
	return Track{
		ID:            "belgium-spa",
		Name:          "Belgium (Spa-Francorchamps)",
		Description:   "Spa-Francorchamps. Long, fast, legendary Eau Rouge / Raidillon.",
		AuthorID:      "system",
		Visibility:    "system",
		Scale:         27,
		LengthM:       b.LengthM,
		WidthM:        b.WidthM,
		LaneWidthM:    0.18,
		Surface:       "carpet",
		Tags:          []string{"f1", "long", "fast", "spa"},
		Centerline:    wps,
		Bounds:        b,
		BestLapHolder: "Verstappen",
	}
}

// ---------------------------------------------------------------------------
// Cars — F1 2024 constructors
//
// Real cars are 1:1 with ~5.7 × 2.0 × 0.95 m, ~798 kg, ~1000 hp.
// We model them at 1/24 scale so the largest dimension (~238 mm) still
// fits the catalog physical-envelope check.
// ---------------------------------------------------------------------------

// RedBullRB20 — Oracle Red Bull Racing, Verstappen / Perez.
// 2024: 9 wins (last year of dominant era), Constructors' champion.
func RedBullRB20() Car {
	return Car{
		ID:         "f1-2024-redbull-rb20",
		Name:       "Oracle Red Bull Racing RB20",
		OwnerID:    "system",
		Visibility: "system",
		Scale:      24,
		LengthMm:   238, // 5.7m IRL
		WidthMm:    83,  // 2.0m IRL
		HeightMm:   40,  // 0.95m IRL
		WeightG:    33,  // 798 kg IRL
		Chassis: Chassis{
			Model:       "RB20 carbon monocoque",
			Material:    "carbon-fibre",
			Printed:     false,
			WheelbaseMm: 150, // 3.6m IRL
			TrackMm:     75,  // 1.8m IRL
		},
		Motor: Motor{
			Kind:   "turbo-hybrid",
			Class:  "F1 PU",
			KV:     0,
			PowerW: 746000, // ~1000 hp ICE + MGU-K, peak 746 kW
		},
		Battery: Battery{
			VoltageV:    0,
			CapacityMah: 0,
			Cells:       0,
			Chemistry:   "li-ion MGU-K",
		},
		Drive:      "2WD",
		TopSpeedMs:  95, // ~340 km/h
		ColorHex:    "#1e3a8a", // dark blue + red/yellow accents
		Active:      true,
		TotalRaces:  0,
		TotalLaps:   0,
		BestLapMs:   0,
	}
}

// FerrariSF24 — Scuderia Ferrari, Leclerc / Sainz.
func FerrariSF24() Car {
	return Car{
		ID:         "f1-2024-ferrari-sf24",
		Name:       "Scuderia Ferrari SF-24",
		OwnerID:    "system",
		Visibility: "system",
		Scale:      24,
		LengthMm:   238,
		WidthMm:    83,
		HeightMm:   40,
		WeightG:    33,
		Chassis: Chassis{
			Model:       "SF-24 carbon monocoque",
			Material:    "carbon-fibre",
			Printed:     false,
			WheelbaseMm: 150,
			TrackMm:     75,
		},
		Motor: Motor{
			Kind:   "turbo-hybrid",
			Class:  "F1 PU 066/12",
			KV:     0,
			PowerW: 746000,
		},
		Battery: Battery{
			Chemistry: "li-ion MGU-K",
		},
		Drive:      "2WD",
		TopSpeedMs:  94,
		ColorHex:    "#dc2626", // rosso corsa
		Active:      true,
	}
}

// McLarenMCL38 — McLaren Racing, Norris / Piastri. 2024 Constructors' runner-up.
func McLarenMCL38() Car {
	return Car{
		ID:         "f1-2024-mclaren-mcl38",
		Name:       "McLaren MCL38",
		OwnerID:    "system",
		Visibility: "system",
		Scale:      24,
		LengthMm:   238,
		WidthMm:    83,
		HeightMm:   40,
		WeightG:    33,
		Chassis: Chassis{
			Model:       "MCL38 carbon monocoque",
			Material:    "carbon-fibre",
			Printed:     false,
			WheelbaseMm: 150,
			TrackMm:     75,
		},
		Motor: Motor{
			Kind:   "turbo-hybrid",
			Class:  "F1 PU Mercedes-derived",
			KV:     0,
			PowerW: 746000,
		},
		Battery: Battery{
			Chemistry: "li-ion MGU-K",
		},
		Drive:      "2WD",
		TopSpeedMs:  94,
		ColorHex:    "#ea580c", // papaya orange
		Active:      true,
	}
}

// MercedesW15 — Mercedes-AMG Petronas, Russell / Hamilton (last year of Hamilton at Mercedes).
func MercedesW15() Car {
	return Car{
		ID:         "f1-2024-mercedes-w15",
		Name:       "Mercedes-AMG W15",
		OwnerID:    "system",
		Visibility: "system",
		Scale:      24,
		LengthMm:   238,
		WidthMm:    83,
		HeightMm:   40,
		WeightG:    33,
		Chassis: Chassis{
			Model:       "W15 carbon monocoque",
			Material:    "carbon-fibre",
			Printed:     false,
			WheelbaseMm: 150,
			TrackMm:     75,
		},
		Motor: Motor{
			Kind:   "turbo-hybrid",
			Class:  "F1 PU M15",
			KV:     0,
			PowerW: 746000,
		},
		Battery: Battery{
			Chemistry: "li-ion MGU-K",
		},
		Drive:      "2WD",
		TopSpeedMs:  94,
		ColorHex:    "#06b6d4", // silver-petronas cyan
		Active:      true,
	}
}

// AstonMartinAMR24 — Aston Martin Aramco, Alonso / Stroll.
func AstonMartinAMR24() Car {
	return Car{
		ID:         "f1-2024-astonmartin-amr24",
		Name:       "Aston Martin Aramco AMR24",
		OwnerID:    "system",
		Visibility: "system",
		Scale:      24,
		LengthMm:   238,
		WidthMm:    83,
		HeightMm:   40,
		WeightG:    33,
		Chassis: Chassis{
			Model:       "AMR24 carbon monocoque",
			Material:    "carbon-fibre",
			Printed:     false,
			WheelbaseMm: 150,
			TrackMm:     75,
		},
		Motor: Motor{
			Kind:   "turbo-hybrid",
			Class:  "F1 PU Mercedes-derived",
			KV:     0,
			PowerW: 746000,
		},
		Battery: Battery{
			Chemistry: "li-ion MGU-K",
		},
		Drive:      "2WD",
		TopSpeedMs:  94,
		ColorHex:    "#16a34a", // racing green
		Active:      true,
	}
}

// ComputeBounds derives a bounding box from a closed loop of waypoints.
func ComputeBounds(loop []Waypoint) Bounds {
	if len(loop) == 0 {
		return Bounds{}
	}
	b := Bounds{
		MinX: loop[0].X,
		MinY: loop[0].Y,
		MaxX: loop[0].X,
		MaxY: loop[0].Y,
	}
	for _, p := range loop[1:] {
		if p.X < b.MinX {
			b.MinX = p.X
		}
		if p.Y < b.MinY {
			b.MinY = p.Y
		}
		if p.X > b.MaxX {
			b.MaxX = p.X
		}
		if p.Y > b.MaxY {
			b.MaxY = p.Y
		}
	}
	b.LengthM = b.MaxX - b.MinX
	b.WidthM = b.MaxY - b.MinY
	return b
}