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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 dsa_reduce.c
* @brief ML-DSA modular arithmetic: Montgomery reduction, centered reduction,
* and conditional addition of q.
*
* Provides implementations for modular reductions modulo q = 8380417 used by
* ML-DSA-65 and ML-DSA-87 (NIST FIPS 204).
*/
/**
* @brief Montgomery reduction for Dilithium (32-bit).
*
* Given a 64-bit value a, computes a * R^{-1} mod q where R = 2^32.
*
* @param[in] a 64-bit value to reduce.
* @return Reduced coefficient in (-q, q).
*/
int32_t
/**
* @brief Reduce a coefficient modulo q to the centered range (-q/2, q/2].
*
* @param[in] a Coefficient to reduce.
* @return Centered coefficient in (-q/2, q/2].
*/
int32_t
/**
* @brief Conditionally add q if coefficient is negative.
*
* @param[in] a Coefficient in (-q, q).
* @return Coefficient normalized to [0, q-1].
*/
int32_t