import pytest, numpy as np
from traite import cas3, finance as fin

def test_cas3_identites():
    r = cas3.tout(); b = r["base"]; p = r["projection"]; h = r["hyp"]
    assert b["rbe"] == pytest.approx(b["rbp_contrat"] * (1 - b["taux_vacance_pertes"]) + b["autres_revenus"])
    assert b["rne"] == pytest.approx(b["rbe"] - b["depenses_totales"])
    assert len(p) == h["horizon_ans"] + 1 and (p["rne"] > 0).all()
    assert p.loc[0, "rne"] == pytest.approx(b["rne"], rel=1e-9)         # année 1 = RNE normalisé
    assert (p["rbp"].diff().dropna() > 0).all()                        # loyers croissants
    assert (p["rbp"] <= p["rbp_marche"] + 1e-6).all()                   # jamais au-dessus du marché
    d = r["dcf"]; flux = d["flux"]
    va = sum(cf / (1 + h["taux_actualisation"]) ** (t + 1) for t, cf in enumerate(flux)) + d["vt_nette"] / (1 + h["taux_actualisation"]) ** h["horizon_ans"]
    assert d["valeur"] == pytest.approx(va)
    assert d["vt_brute"] == pytest.approx(d["rne_T1"] / h["taux_terminal"]) and d["vt_nette"] == pytest.approx(d["vt_brute"] * (1 - h["couts_vente"]))
    f = r["financement"]
    assert f["rcd"] >= h["financement"]["rcd_min"] - 1e-9 and f["rpv"] <= h["financement"]["rpv"] + 1e-9
    assert 0.03 < r["taux"]["mediane"] < 0.07 and r["taux"]["n"] >= 10
    assert 0.5 < r["valeur_capitalisation"] / d["valeur"] < 1.5