FA-68871 / Tide and marine navigation tables / Open access

Harmonic tide prediction: Nodal factor is omitted from the amplitude · case 01

Predicted ranges are too small in years of strong lunar declination.

Verified by executionVariant 1 · 7 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The amplitude uses H alone, ignoring the nodal modulation factor f.

VERIFIED REPAIR

Scale each constituent amplitude by f.

Unsuccessful approach: Applying f only when it exceeds one leaves reduced-amplitude years wrong.

Case contract

Input [t_minutes, z0, constituents]; each constituent is [H metres, g phase lag deg, speed deg/hour, nodal factor f, nodal phase u deg, equilibrium argument V0 deg]. Height above chart datum is z0 + sum f*H*cos(V0+u+speed*t_hours-g). Return rounded to 4 decimals.

Why this case matters

Tide tables and passage plans turn published predictions into go/no-go decisions about depth, clearance and timing.

1 / The failure

Exit 1

"""Failure Map reference implementation. Python standard library only."""
import json
import math
N = 1
observations = []
def solve(x):
    t,z0,cons=x
    hours=t/60
    h=z0
    for H,g,spd,f,u,v0 in cons:
        arg=(v0+u+spd*hours-g)%360
        h+=H*math.cos(math.radians(arg))
    return round(h,4)
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('harmonic tide prediction [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.8751), ('harmonic tide prediction [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.2259), ('harmonic tide prediction [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 2.3585), ('harmonic tide prediction [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.2364), ('harmonic tide prediction [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9476), ('harmonic tide prediction [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9225), ('harmonic tide prediction [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.6113)], [('harmonic tide prediction [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 2.3585), ('harmonic tide prediction [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 1.6646), ('harmonic tide prediction [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9476), ('harmonic tide prediction [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9225), ('harmonic tide prediction [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.6113), ('harmonic tide prediction [1440, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [1440, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.3542), ('harmonic tide prediction [0, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [0, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 3.2733)], [('harmonic tide prediction [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.2364), ('harmonic tide prediction [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.6277), ('harmonic tide prediction [1440, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [1440, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.3542), ('harmonic tide prediction [0, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [0, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 3.2733), ('harmonic tide prediction [200, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [200, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 4.1537), ('harmonic tide prediction [745, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [745, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 3.2709), ('harmonic tide prediction [90, 0.0, [[1.0, 0.0, 30.0, 1.0, 0.0, 0.0]]]', [90, 0.0, [[1.0, 0.0, 30.0, 1.0, 0.0, 0.0]]], 0.7071)], [('harmonic tide prediction [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9476), ('harmonic tide prediction [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.2259), ('harmonic tide prediction [745, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [745, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 3.2709), ('harmonic tide prediction [90, 0.0, [[1.0, 0.0, 30.0, 1.0, 0.0, 0.0]]]', [90, 0.0, [[1.0, 0.0, 30.0, 1.0, 0.0, 0.0]]], 0.7071), ('harmonic tide prediction [0, 1.5, []]', [0, 1.5, []], 1.5), ('harmonic tide prediction [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 1.6646), ('harmonic tide prediction [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.6277)], [('harmonic tide prediction [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9225), ('harmonic tide prediction [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 1.6646), ('harmonic tide prediction [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.2259), ('harmonic tide prediction [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.6277), ('harmonic tide prediction [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.8751), ('harmonic tide prediction [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 2.3585), ('harmonic tide prediction [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.2364)]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)

Boundary fixture	Actual	Expected	Outcome
harmonic tide prediction [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`1.8835`	`1.8751`	Failed
harmonic tide prediction [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]	`0.2019`	`0.2259`	Failed
harmonic tide prediction [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`2.3625`	`2.3585`	Failed
harmonic tide prediction [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`3.2372`	`3.2364`	Failed
harmonic tide prediction [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`1.9728`	`1.9476`	Failed
harmonic tide prediction [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`1.9082`	`1.9225`	Failed
harmonic tide prediction [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`3.5704`	`3.6113`	Failed

SHA-256 / f6d8e790d7087602be86cfff69b6ee0812db6cb24bdcc3169d16f31aff914260

2 / The unsuccessful fix

Exit 1

"""Failure Map reference implementation. Python standard library only."""
import json
import math
N = 1
observations = []
def solve(x):
    t,z0,cons=x
    hours=t/60
    h=z0
    for H,g,spd,f,u,v0 in cons:
        arg=(v0+u+spd*hours-g)%360
        h+=(f if f>1 else 1)*H*math.cos(math.radians(arg))
    return round(h,4)
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('harmonic tide prediction [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.8751), ('harmonic tide prediction [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.2259), ('harmonic tide prediction [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 2.3585), ('harmonic tide prediction [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.2364), ('harmonic tide prediction [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9476), ('harmonic tide prediction [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9225), ('harmonic tide prediction [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.6113)], [('harmonic tide prediction [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 2.3585), ('harmonic tide prediction [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 1.6646), ('harmonic tide prediction [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9476), ('harmonic tide prediction [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9225), ('harmonic tide prediction [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.6113), ('harmonic tide prediction [1440, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [1440, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.3542), ('harmonic tide prediction [0, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [0, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 3.2733)], [('harmonic tide prediction [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.2364), ('harmonic tide prediction [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.6277), ('harmonic tide prediction [1440, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [1440, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.3542), ('harmonic tide prediction [0, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [0, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 3.2733), ('harmonic tide prediction [200, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [200, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 4.1537), ('harmonic tide prediction [745, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [745, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 3.2709), ('harmonic tide prediction [90, 0.0, [[1.0, 0.0, 30.0, 1.0, 0.0, 0.0]]]', [90, 0.0, [[1.0, 0.0, 30.0, 1.0, 0.0, 0.0]]], 0.7071)], [('harmonic tide prediction [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9476), ('harmonic tide prediction [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.2259), ('harmonic tide prediction [745, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [745, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 3.2709), ('harmonic tide prediction [90, 0.0, [[1.0, 0.0, 30.0, 1.0, 0.0, 0.0]]]', [90, 0.0, [[1.0, 0.0, 30.0, 1.0, 0.0, 0.0]]], 0.7071), ('harmonic tide prediction [0, 1.5, []]', [0, 1.5, []], 1.5), ('harmonic tide prediction [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 1.6646), ('harmonic tide prediction [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.6277)], [('harmonic tide prediction [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9225), ('harmonic tide prediction [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 1.6646), ('harmonic tide prediction [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.2259), ('harmonic tide prediction [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.6277), ('harmonic tide prediction [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.8751), ('harmonic tide prediction [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 2.3585), ('harmonic tide prediction [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.2364)]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)

Boundary fixture	Actual	Expected	Outcome
harmonic tide prediction [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`1.8751`	`1.8751`	Passed
harmonic tide prediction [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]	`0.2019`	`0.2259`	Failed
harmonic tide prediction [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`2.3585`	`2.3585`	Passed
harmonic tide prediction [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`3.2364`	`3.2364`	Passed
harmonic tide prediction [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`1.9476`	`1.9476`	Passed
harmonic tide prediction [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`1.9225`	`1.9225`	Passed
harmonic tide prediction [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`3.6113`	`3.6113`	Passed

SHA-256 / e644fa039a82b2979687224c5140c266432c62321f2428d973fa9dae3a4dcdb0

3 / The verified repair

Exit 0

"""Failure Map reference implementation. Python standard library only."""
import json
import math
N = 1
observations = []
def solve(x):
    t,z0,cons=x
    hours=t/60
    h=z0
    for H,g,spd,f,u,v0 in cons:
        arg=(v0+u+spd*hours-g)%360
        h+=f*H*math.cos(math.radians(arg))
    return round(h,4)
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('harmonic tide prediction [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.8751), ('harmonic tide prediction [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.2259), ('harmonic tide prediction [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 2.3585), ('harmonic tide prediction [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.2364), ('harmonic tide prediction [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9476), ('harmonic tide prediction [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9225), ('harmonic tide prediction [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.6113)], [('harmonic tide prediction [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 2.3585), ('harmonic tide prediction [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 1.6646), ('harmonic tide prediction [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9476), ('harmonic tide prediction [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9225), ('harmonic tide prediction [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.6113), ('harmonic tide prediction [1440, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [1440, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.3542), ('harmonic tide prediction [0, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [0, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 3.2733)], [('harmonic tide prediction [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.2364), ('harmonic tide prediction [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.6277), ('harmonic tide prediction [1440, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [1440, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.3542), ('harmonic tide prediction [0, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [0, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 3.2733), ('harmonic tide prediction [200, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [200, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 4.1537), ('harmonic tide prediction [745, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [745, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 3.2709), ('harmonic tide prediction [90, 0.0, [[1.0, 0.0, 30.0, 1.0, 0.0, 0.0]]]', [90, 0.0, [[1.0, 0.0, 30.0, 1.0, 0.0, 0.0]]], 0.7071)], [('harmonic tide prediction [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9476), ('harmonic tide prediction [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.2259), ('harmonic tide prediction [745, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]]', [745, 3.0, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0]]], 3.2709), ('harmonic tide prediction [90, 0.0, [[1.0, 0.0, 30.0, 1.0, 0.0, 0.0]]]', [90, 0.0, [[1.0, 0.0, 30.0, 1.0, 0.0, 0.0]]], 0.7071), ('harmonic tide prediction [0, 1.5, []]', [0, 1.5, []], 1.5), ('harmonic tide prediction [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 1.6646), ('harmonic tide prediction [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.6277)], [('harmonic tide prediction [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.9225), ('harmonic tide prediction [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [300, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 1.6646), ('harmonic tide prediction [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.2259), ('harmonic tide prediction [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]', [610, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]], 0.6277), ('harmonic tide prediction [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 1.8751), ('harmonic tide prediction [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 2.3585), ('harmonic tide prediction [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]', [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]], 3.2364)]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)

Boundary fixture	Actual	Expected	Outcome
harmonic tide prediction [0, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`1.8751`	`1.8751`	Passed
harmonic tide prediction [0, 1.0, [[0.8, 270.0, 28.9841042, 0.97, 4.0, 90.0]]]	`0.2259`	`0.2259`	Passed
harmonic tide prediction [45, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`2.3585`	`2.3585`	Passed
harmonic tide prediction [180, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`3.2364`	`3.2364`	Passed
harmonic tide prediction [371, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`1.9476`	`1.9476`	Passed
harmonic tide prediction [720, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`1.9225`	`1.9225`	Passed
harmonic tide prediction [1000, 2.1, [[1.2, 110.0, 28.9841042, 1.02, -2.1, 35.0], [0.4, 150.0, 30.0, 1.0, 0.0, 0.0], [0.25, 95.0, 15.0410686, 1.1, 8.5, 210.0]]]	`3.6113`	`3.6113`	Passed

SHA-256 / 4459ecec59d87342cfe3bc32efa560469fd89139cb2f026c44f1c73fe9604c07

Verification & scope

A deterministic toy model with stipulated rules and constants; not certified hydrographic software or a substitute for official tide tables. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.

Observations recorded using Python 3.12.14 at 2026-09-29T14:48:06.260145+00:00.

Case digest / 9493392157e09a02b10b1048fded20aa50d69da147496357bcca0fb472f65987