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/*
* SPDX-License-Identifier: MIT
*
* Rivide Post-Quantum Cryptography Library
* Copyright (C) 2026 Moh. Ananda Firmansyah Putra
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*/
/**
* @file kem_reduce.c
* @brief ML-KEM Barrett reduction, Montgomery reduction, and conditional subtraction of q.
*
* Implements modular reductions modulo q = 3329 used by ML-KEM-768 and ML-KEM-1024
* (NIST FIPS 203).
*/
/**
* @brief Barrett reduction: reduce a 16-bit value mod q = 3329.
*
* @param[in] a Signed 16-bit coefficient to reduce.
* @return Reduced coefficient in [0, q-1].
*/
int16_t
/**
* @brief Montgomery reduction: compute a * R^{-1} mod q where R = 2^16.
*
* @param[in] a 32-bit product to reduce.
* @return Reduced coefficient.
*/
int16_t
/**
* @brief Conditionally subtract q if coefficient is >= q.
*
* @param[in] a Coefficient in [0, 2q-1].
* @return Normalized coefficient in [0, q-1].
*/
int16_t