islaApocalypse/Tools/Scripts/HeightCurve.cs
beezm c71026fd94 feat: task-09 verdict — BALANCED becomes plain "v5", COMPACT retires (terrain-water task 10 prerequisite)
The documented one-liner the task-09 gate triggers: TerrainCurve gate
is now "off"|"v5" (default v5 = the BALANCED preset, id 2);
"v5-compact" retired with a verdict-specific error, "v5-balanced"
redirects to plain "v5". Knots/TCRV encoding unchanged.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
2026-08-08 18:00:21 -04:00

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using Godot;
/// <summary>
/// One preset's input knots for the v5 curve. Two presets exist for the task-09
/// taste batch — COMPACT (maximum lowland, cordillera-from-plains) and BALANCED
/// (the task-07/08 lineage, gradual highland approach). The loser retires after
/// the developer's gate; the winner becomes plain "v5".
/// </summary>
public sealed class CurveKnots
{
public readonly byte PresetId;
public readonly string Name;
public readonly float K1, K2, K3, K4, K5, K6;
public CurveKnots(byte id, string name, float k1, float k2, float k3, float k4, float k5, float k6)
{
PresetId = id; Name = name;
K1 = k1; K2 = k2; K3 = k3; K4 = k4; K5 = k5; K6 = k6;
}
}
/// <summary>
/// The height-redistribution curve, v5 (terrain-water task 09) — v4's spatially
/// modulated shelves plus the THREE CORNER FIXES, with PRESET-PARAMETERIZED knots.
/// Pure, static, monotonic; every per-column input and the knot set are explicit
/// PARAMETERS (D-035).
///
/// The corner fixes (both presets — the naturalness work):
/// 1. Riser endpoint slope floor 0.2 → 0.1 (blend 0.1u + 0.9·smoothstep): climbs
/// decelerate into shelves and accelerate out of them — no machined edges.
/// 2. Summit-spike base floor 0.1 → 0.05 (blend 0.05u + 0.95·u⁴): the spike
/// leaves the plateau gently — no hard skirt under the peaks.
/// 3. SHELF_SPAN_MIN 2 m → 6 m: pronounced shelves keep a gentle tilt — flat to
/// build on, never snooker-table flat.
///
/// Presets (input land-fraction targets; knots calibrated 2026-08-08 from the same
/// pooled batch-04 flat-sea land CDF as tasks 05/07, 340,618,126 samples; achieved
/// fractions exact by construction):
/// COMPACT — 65/12/7/4/6/3/3 (orange/red/foothill-riser/bench/mid-riser/plateau/spike)
/// BALANCED — 60/13/10/5/8/3/1
///
/// Unchanged from v4: storm-ladder anchors, bench 100±12 m, plateau 220±20 m,
/// strength modulation (span max 25 m), 420 m cap, per-seed spike normalization,
/// modulation fields/seed offsets, the classify-map invariant.
/// </summary>
public static class HeightCurve
{
public const ushort VERSION = 5;
// The task-09 taste gate's WINNER: BALANCED (id 2). COMPACT retired with the
// verdict; its knots survive only in the task-09 report/batch for the record.
public static readonly CurveKnots V5 = new CurveKnots(2, "balanced",
0.515899f, 0.612157f, 0.710472f, 0.784045f, 0.962922f, 1.119118f); // P60/73/83/88/96/99
// Fixed output anchors — storm ladder + ceiling (frozen).
public const float SEA = 0.15f;
public const float ORANGE_CEIL = 0.206f;
public const float RED_CEIL = 0.27f;
public const float PEAK_CAP = SEA + 420f / 251f;
public const float TAIL_SLOPE = 0.25f;
public const float SPIKE_MIN_SPAN = 0.01f;
// Modulated shelf anchors (unchanged from v4).
public const float BENCH_BASE = SEA + 100f / 251f;
public const float BENCH_AMP = 12f / 251f;
public const float PLATEAU_BASE = SEA + 220f / 251f;
public const float PLATEAU_AMP = 20f / 251f;
// Corner fix 3: pronounced shelves keep ~6 m of tilt across the shelf band.
public const float SHELF_SPAN_MIN = 6f / 251f; // ≈ 0.0239 (v4: 0.008 ≈ 2 m)
public const float SHELF_SPAN_MAX = 0.10f;
// Modulation-field derivation (unchanged from v4).
public const int BENCH_SEED_OFFSET = 7101;
public const int PLATEAU_SEED_OFFSET = 7207;
public const int STRENGTH_SEED_OFFSET = 7303;
public const float ELEV_FREQ_ISLANDS = 3.0f;
public const float STRENGTH_FREQ_ISLANDS = 5.0f;
public static float EffectiveSpikeMax(float hMaxSeed, CurveKnots k)
{
return Mathf.Max(hMaxSeed, k.K6 + SPIKE_MIN_SPAN);
}
public static float ShelfSpan(float strength01)
{
return Mathf.Lerp(SHELF_SPAN_MAX, SHELF_SPAN_MIN, Mathf.Clamp(strength01, 0f, 1f));
}
public static float Apply(float h, float hMaxSeed,
float benchLo, float benchSpan, float plateauLo, float plateauSpan, CurveKnots k)
{
if (h <= SEA) return h;
float u, s;
if (h < k.K1)
{
u = (h - SEA) / (k.K1 - SEA);
s = 0.3f * u + 0.7f * (u * (2f - u)); // frozen ease-out toe
return SEA + s * (ORANGE_CEIL - SEA);
}
if (h < k.K2)
{
u = (h - k.K1) / (k.K2 - k.K1);
return ORANGE_CEIL + u * (RED_CEIL - ORANGE_CEIL); // frozen linear rise
}
if (h < k.K3)
{
u = (h - k.K2) / (k.K3 - k.K2);
s = 0.1f * u + 0.9f * (u * u * (3f - 2f * u)); // foothill riser — corner fix 1
return RED_CEIL + s * (benchLo - RED_CEIL);
}
if (h < k.K4)
{
u = (h - k.K3) / (k.K4 - k.K3);
return benchLo + u * benchSpan; // bench (min span 6 m — fix 3)
}
float benchTop = benchLo + benchSpan;
if (h < k.K5)
{
u = (h - k.K4) / (k.K5 - k.K4);
s = 0.1f * u + 0.9f * (u * u * (3f - 2f * u)); // mid riser — corner fix 1
return benchTop + s * (plateauLo - benchTop);
}
if (h < k.K6)
{
u = (h - k.K5) / (k.K6 - k.K5);
return plateauLo + u * plateauSpan; // plateau
}
float plateauTop = plateauLo + plateauSpan;
float spikeMax = EffectiveSpikeMax(hMaxSeed, k);
if (h < spikeMax)
{
u = (h - k.K6) / (spikeMax - k.K6);
s = 0.05f * u + 0.95f * (u * u * u * u); // summit spike — corner fix 2
return plateauTop + s * (PEAK_CAP - plateauTop);
}
return PEAK_CAP + (h - spikeMax) * TAIL_SLOPE;
}
/// <summary>
/// Per-generation numeric strict-monotonicity check of the EFFECTIVE curve for
/// the selected preset: all 8 modulation-extreme corners × per-seed spikeMax.
/// The corner fixes lower the slope floors (risers 0.1, spike base 0.05) — the
/// sweep proves they stay strictly positive everywhere. Loud throw on failure.
/// </summary>
public static void AssertMonotonic(float hMaxSeed, CurveKnots k)
{
float[] benchLos = { BENCH_BASE - BENCH_AMP, BENCH_BASE + BENCH_AMP };
float[] plateauLos = { PLATEAU_BASE - PLATEAU_AMP, PLATEAU_BASE + PLATEAU_AMP };
float[] spans = { SHELF_SPAN_MIN, SHELF_SPAN_MAX };
foreach (float bl in benchLos)
{
foreach (float pl in plateauLos)
{
foreach (float sp in spans)
{
float prevH = -7f;
float prev = Apply(prevH, hMaxSeed, bl, sp, pl, sp, k);
void Check(double hd)
{
float h = (float)hd;
if (h <= prevH) return; // dedupe float32 samples (task-05 fix)
float v = Apply(h, hMaxSeed, bl, sp, pl, sp, k);
if (v <= prev)
throw new System.InvalidOperationException(
$"[HeightCurve] MONOTONICITY VIOLATION at h={h} (preset {k.Name}, hMaxSeed={hMaxSeed}, benchLo={bl}, plateauLo={pl}, span={sp}): {v} <= {prev}. Refusing to generate.");
prev = v;
prevH = h;
}
double top = System.Math.Max(2.0, EffectiveSpikeMax(hMaxSeed, k) + 0.5);
for (double hh = -7.0 + 0.01; hh < 0.10; hh += 0.01) Check(hh);
for (double hh = 0.10; hh <= top; hh += 0.0001) Check(hh);
for (double hh = top + 0.05; hh <= top + 6.0; hh += 0.05) Check(hh);
}
}
}
GD.Print($"[HeightCurve] Monotonicity assertion passed (v{VERSION} preset '{k.Name}', 8 modulation corners, effective spikeMax {EffectiveSpikeMax(hMaxSeed, k):F6}).");
}
}