"""Clock-time parsing and the error metric, in MINUTES.

An analog clock face is a ring of 720 minutes (12 hours). Two times that look
identical on a face are identical here: 3:15 and 15:15 are the same reading.
Error is the shorter way round that ring, so it lives in [0, 360].

Nothing in this file knows about models, images or torch. It is the definition
of "correct" for the whole project, so it is kept small and tested.
"""

from __future__ import annotations

import re

RING = 720.0          # minutes on a 12-hour face
MAX_ERR = RING / 2    # 360: the two hands are as far apart as they can get

_TIME_RE = re.compile(r"^\s*(\d{1,2})\s*[:.h]\s*(\d{1,2}(?:\.\d+)?)\s*$")


def to_minutes(hour: float, minute: float) -> float:
    """Position on the face, in minutes past 12 o'clock, in [0, 720)."""
    return ((hour % 12) * 60.0 + minute) % RING


def from_minutes(minutes: float) -> tuple[int, float]:
    """Inverse of to_minutes. Returns (hour 1-12, minute)."""
    m = minutes % RING
    hour = int(m // 60)
    return (12 if hour == 0 else hour), m - hour * 60


def fmt(minutes: float) -> str:
    """Human clock string, e.g. 227.0 -> '3:47'. Fractions kept if present."""
    h, m = from_minutes(minutes)
    if abs(m - round(m)) < 1e-9:
        return f"{h}:{int(round(m)):02d}"
    return f"{h}:{m:05.2f}"


def parse(text: str) -> float:
    """Parse a human-typed time into minutes-on-the-face.

    Accepts '3:47', '03:47', '3.47', '15:47' (same face position as 3:47) and
    bare digits '347' / '1215' as typed by the labelling UI.
    """
    text = (text or "").strip()
    if not text:
        raise ValueError("empty time")
    m = _TIME_RE.match(text)
    if not m:
        if text.isdigit() and 3 <= len(text) <= 4:
            m = re.match(r"^(\d{1,2})(\d{2})$", text)
        if not m:
            raise ValueError(f"cannot parse time: {text!r}")
    hour = float(m.group(1))
    minute = float(m.group(2))
    if not (0 <= hour <= 23):
        raise ValueError(f"hour out of range: {text!r}")
    if not (0 <= minute < 60):
        raise ValueError(f"minute out of range: {text!r}")
    return to_minutes(hour, minute)


def error_minutes(pred: float, label: float) -> float:
    """Shorter arc between two face positions, in minutes. In [0, 360]."""
    d = abs((pred - label) % RING)
    return min(d, RING - d)


def swapped(minutes: float) -> float:
    """The reading you get if the hour and minute hands are confused.

    The minute hand sits at (minutes % 60) minutes-of-the-hour, i.e. face
    position (minutes % 60) * 12. The hour hand sits at face position
    `minutes`, which reads as minute-of-hour (minutes / 12). Swapping the two
    gives this. Used only as a diagnostic on failures.
    """
    minute_hand_pos = (minutes % 60) * 12.0          # where the minute hand is
    new_hour = minute_hand_pos // 60                 # read it as the hour hand
    new_minute = (minutes % RING) / 12.0             # read hour hand as minutes
    return to_minutes(new_hour, new_minute)