"""gen_vectors.py - Test vector generator for ntt module.

Generates random polynomials and computes expected NTT results
using the Python reference implementation (embedded to avoid
side-effect imports from the original module).
"""

import os
import random
import sys

sys.path.insert(0, os.path.join(os.path.dirname(__file__), '..', '..', 'lib'))
from vector_gen import VectorGenerator

Q = 3329
N = 256
N_INV = 3303

zeta_bitRev = [1, 1729, 2580, 3289, 2642, 630, 1897, 848,
               1062, 1919, 193, 797, 2786, 3260, 569, 1746,
               296, 2447, 1339, 1476, 3046, 56, 2240, 1333,
               1426, 2094, 535, 2882, 2393, 2879, 1974, 821,
               289, 331, 3253, 1756, 1197, 2304, 2277, 2055,
               650, 1977, 2513, 632, 2865, 33, 1320, 1915,
               2319, 1435, 807, 452, 1438, 2868, 1534, 2402,
               2647, 2617, 1481, 648, 2474, 3110, 1227, 910,
               17, 2761, 583, 2649, 1637, 723, 2288, 1100,
               1409, 2662, 3281, 233, 756, 2156, 3015, 3050,
               1703, 1651, 2789, 1789, 1847, 952, 1461, 2687,
               939, 2308, 2437, 2388, 733, 2337, 268, 641,
               1584, 2298, 2037, 3220, 375, 2549, 2090, 1645,
               1063, 319, 2773, 757, 2099, 561, 2466, 2594,
               2804, 1092, 403, 1026, 1143, 2150, 2775, 886,
               1722, 1212, 1874, 1029, 2110, 2935, 885, 2154]


def NTT(f):
    """Forward NTT using Cooley-Tukey, bit-exact with reference."""
    f_hat = f.copy()
    i = 1
    for len_NTT in [128, 64, 32, 16, 8, 4, 2]:
        for start in range(0, 256, 2 * len_NTT):
            zeta = zeta_bitRev[i]
            i += 1
            for j in range(start, start + len_NTT):
                t = (zeta * f_hat[j + len_NTT]) % Q
                f_hat[j + len_NTT] = (f_hat[j] - t) % Q
                f_hat[j] = (f_hat[j] + t) % Q
    return f_hat


def NTTInverse(f_hat):
    """Inverse NTT using Gentleman-Sande, bit-exact with reference."""
    f = f_hat.copy()
    i = 127
    for len_NTT in [2, 4, 8, 16, 32, 64, 128]:
        for start in range(0, 256, 2 * len_NTT):
            zeta = zeta_bitRev[i]
            i -= 1
            for j in range(start, start + len_NTT):
                t = f[j]
                f[j] = (t + f[j + len_NTT]) % Q
                f[j + len_NTT] = (zeta * (f[j + len_NTT] - t)) % Q
    for i in range(len(f)):
        f[i] = (f[i] * N_INV) % Q
    return f


class NttVectorGenerator(VectorGenerator):
    """Generates test vectors for the ntt_sync module."""

    def generate_one(self, params: dict) -> dict:
        mode = params.get('mode', 'forward')

        if mode == 'forward':
            f = [random.randint(0, Q - 1) for _ in range(N)]
            f_hat = NTT(f)
            return {
                'input': {'mode': 'F', 'coeffs': f},
                'expected': {'coeffs': f_hat}
            }

        elif mode == 'inverse':
            f_hat = [random.randint(0, Q - 1) for _ in range(N)]
            f = NTTInverse(f_hat)
            return {
                'input': {'mode': 'I', 'coeffs': f_hat},
                'expected': {'coeffs': f}
            }

        elif mode == 'roundtrip':
            f = [random.randint(0, Q - 1) for _ in range(N)]
            f_hat = NTT(f)
            f_recover = NTTInverse(f_hat)
            assert f_recover == f, "Round-trip invariant failed!"
            return {
                'input': {'mode': 'I', 'coeffs': f_hat},
                'expected': {'coeffs': f}
            }

        else:
            raise ValueError(f"Unknown mode: {mode}")

    def _format_coeffs(self, coeffs: list[int]) -> str:
        return ' '.join(f'{c:03X}' for c in coeffs)

    def write_hex_file(self, vectors: list[dict], filepath: str) -> None:
        os.makedirs(os.path.dirname(filepath), exist_ok=True)
        with open(filepath, 'w') as f:
            for v in vectors:
                mode = v['input']['mode']
                coeffs = v['input']['coeffs']
                hex_str = self._format_coeffs(coeffs)
                f.write(f'{mode} {hex_str}\n')

    def write_expected_file(self, vectors: list[dict], filepath: str) -> None:
        os.makedirs(os.path.dirname(filepath), exist_ok=True)
        with open(filepath, 'w') as f:
            for v in vectors:
                coeffs = v['expected']['coeffs']
                hex_str = self._format_coeffs(coeffs)
                f.write(f'{hex_str}\n')