/* * Fixed Window Exponentiation * (C) 1999-2007 Jack Lloyd * * Botan is released under the Simplified BSD License (see license.txt) */ #include #include namespace Botan { /* * Set the exponent */ void Fixed_Window_Exponentiator::set_exponent(const BigInt& e) { m_exp = e; } /* * Set the base */ void Fixed_Window_Exponentiator::set_base(const BigInt& base) { m_window_bits = Power_Mod::window_bits(m_exp.bits(), base.bits(), m_hints); m_g.resize(static_cast(1) << m_window_bits); m_g[0] = 1; m_g[1] = base; for(size_t i = 2; i != m_g.size(); ++i) m_g[i] = m_reducer.multiply(m_g[i-1], m_g[1]); } /* * Compute the result */ BigInt Fixed_Window_Exponentiator::execute() const { const size_t exp_nibbles = (m_exp.bits() + m_window_bits - 1) / m_window_bits; BigInt x = 1; for(size_t i = exp_nibbles; i > 0; --i) { for(size_t j = 0; j != m_window_bits; ++j) x = m_reducer.square(x); const uint32_t nibble = m_exp.get_substring(m_window_bits*(i-1), m_window_bits); x = m_reducer.multiply(x, m_g[nibble]); } return x; } /* * Fixed_Window_Exponentiator Constructor */ Fixed_Window_Exponentiator::Fixed_Window_Exponentiator(const BigInt& n, Power_Mod::Usage_Hints hints) : m_reducer{Modular_Reducer(n)}, m_exp{}, m_window_bits{}, m_g{}, m_hints{hints} {} }