"""B08 4탭 홍수량 계산서 엔진 — 순수 식 (PLAN 62-2 · 계산 자리 ③ 서버 단독).

배수유역 계산 코드(`common_util_drainage_detail` 등)를 부르지 않음 — 화면 입력만으로 계산.

  1-1 합리식    Q = (1/3.6)·f·rt·A[㎢] · Qd = Q × 할증
  1-2 도달시간  Kirpich T = 0.0663·L[㎞]^0.77·s^-0.385 [hr] · s = H/L · 최소 도달시간 적용
  1-3 강우강도  rt = (R24/24)·(24/T)^0.557 (Mononobe형)
  2   단면검토  V = (1/n)·R^(2/3)·S^(1/2) · Q = A·V · 판정 Q ≥ Qd · 유출율 = Q/Qd
      장(sheet)  pipe = 관 단면 · box = 사각 h = 수심비 × H · A = B·h · P = B + 2h (73-11)
                 ford = 세월교 · 물넘이 월류 높이 = 폭 · S · n 으로 Qd 를 흘리는 수심(73-12)

짝: `ford_depth` ↔ `A00_Common/design/design_structure_ford_calc.fordHeightM`
  (`fordSection` 같은 풀이)
  · 거울 시험 test_73_11_b08_hydro_box_ford · 관 몫은 빼지 않음 · 여유(0.9H) 안 넣음.
"""

from __future__ import annotations

import math
from typing import Any

from B08_Quantity.B08_Quantity_Hydro_Defaults import PIPE_KINDS, SHEET_DEFAULTS

MONONOBE_EXPONENT = 0.557
EFFECTIVE_RATIO = 0.7


def section_props(section: str, diameter_m: float) -> dict[str, float]:
    """단면 가정별 단면적 A · 윤변 P · 경심 R."""
    d = diameter_m
    full_area = math.pi * d * d / 4.0
    if section == "arc240":
        # 240° 부채꼴 + 현 아래 삼각형(반지름 둘 · 끼인각 120°) — 수심 0.75D
        area = full_area * 240.0 / 360.0 + (d / 2.0) ** 2 * math.sin(math.radians(60)) * math.cos(
            math.radians(60)
        )
        perimeter = math.pi * d * 240.0 / 360.0
        return {"area": area, "perimeter": perimeter, "radius": area / perimeter}
    if section == "eff70":
        # 배관 제안 방식 — 유속은 만관 경심(D/4) · 통수단면은 70 %
        return {"area": EFFECTIVE_RATIO * full_area, "perimeter": math.pi * d, "radius": d / 4.0}
    return {"area": full_area, "perimeter": math.pi * d, "radius": d / 4.0}


def rect_props(width_m: float, depth_m: float) -> dict[str, float]:
    """사각 단면(천장 빼고) — A = B·h · P = B + 2h · R = A/P."""
    area, perimeter = width_m * depth_m, width_m + 2.0 * depth_m
    return {"area": area, "perimeter": perimeter, "radius": area / perimeter}


def ford_depth(flow_m3s: float, width_m: float, n: float, slope: float) -> float:
    """월류 폭(m)으로 유량을 흘리는 수심(m) · 0.01 m 올림 — Manning 개수로 반복 풀이."""
    root = math.sqrt(slope)

    def velocity(depth: float) -> float:
        return (1 / n) * ((width_m * depth) / (width_m + 2 * depth)) ** (2 / 3) * root

    depth = ((flow_m3s * n) / (width_m * root)) ** (3 / 5)
    for _ in range(20):
        nxt = flow_m3s / (width_m * velocity(depth))
        if abs(nxt - depth) < 1e-6:
            depth = nxt
            break
        depth = nxt
    return math.ceil(depth * 100 - 1e-9) / 100


def _num(inputs: dict[str, Any], key: str) -> float | None:
    value = inputs.get(key)
    return None if value is None or value == "" else float(value)


def compute(inputs: dict[str, Any]) -> dict[str, Any]:
    """입력 → 계산서 값 전부(반올림 없음 · 화면이 자릿수를 정함).

    빈칸(None)이 있으면 그 값에 기대는 칸만 None — 화면은 「—」 (69-6).
    """
    length_m, height_m = _num(inputs, "length_m"), _num(inputs, "height_m")
    r24, area_km2 = _num(inputs, "r24_mm"), _num(inputs, "area_km2")
    slope_ground = tc_raw_hr = tc_hr = intensity = flow = design_flow = None
    if length_m and height_m:
        slope_ground = height_m / length_m
        tc_raw_hr = 0.0663 * (length_m / 1000.0) ** 0.77 * slope_ground**-0.385
        tc_hr = max(tc_raw_hr, float(inputs["tc_min_minutes"]) / 60.0)
    if tc_hr and r24:
        intensity = (r24 / 24.0) * (24.0 / tc_hr) ** MONONOBE_EXPONENT
    if intensity is not None and area_km2:
        flow = float(inputs["runoff"]) * intensity * area_km2 / 3.6
        design_flow = flow * float(inputs["factor"])

    sheet = inputs.get("sheet") or "pipe"
    if sheet == "pipe":
        n = _num(inputs, "n") or PIPE_KINDS[inputs["pipe_kind"]]
    else:
        n = _num(inputs, "n") or SHEET_DEFAULTS[sheet]["n"]
    slope_den = _num(inputs, "slope_denominator")
    slope_bed = 1.0 / slope_den if slope_den else None
    props: dict[str, float] = {}
    depth = None
    if sheet == "pipe":
        diameter_mm = _num(inputs, "diameter_mm")
        props = section_props(inputs["section"], diameter_mm / 1000.0) if diameter_mm else {}
    elif sheet == "box":
        width, height = _num(inputs, "box_width_m"), _num(inputs, "box_height_m")
        ratio = _num(inputs, "depth_ratio") or SHEET_DEFAULTS["box"]["depth_ratio"]
        if width and height:
            depth = ratio * height
            props = rect_props(width, depth)
    else:
        width = _num(inputs, "overflow_width_m")
        if width and slope_bed and design_flow:
            depth = ford_depth(design_flow, width, n, slope_bed)
            props = rect_props(width, depth)
    velocity = capacity = None
    if props and slope_bed:
        velocity = (1.0 / n) * props["radius"] ** (2.0 / 3.0) * math.sqrt(slope_bed)
        capacity = props["area"] * velocity
    judged = capacity is not None and design_flow is not None
    return {
        "area_ha": area_km2 * 100.0 if area_km2 else None,
        "r24_mm": r24,
        "slope_ground": slope_ground,
        "tc_raw_hr": tc_raw_hr,
        "tc_hr": tc_hr,
        "tc_floored": tc_hr is not None and tc_hr > tc_raw_hr,
        "intensity": intensity,
        "flow": flow,
        "design_flow": design_flow,
        "n": n,
        "depth": depth,
        "section_area": props.get("area"),
        "perimeter": props.get("perimeter"),
        "radius": props.get("radius"),
        "slope_bed": slope_bed,
        "velocity": velocity,
        "capacity": capacity,
        "ok": capacity >= design_flow if judged else None,
        "ratio_pct": capacity / design_flow * 100.0 if judged and design_flow > 0 else None,
    }