Botan  2.18.2
Crypto and TLS for C++11
Public Member Functions | List of all members
Botan::Modular_Reducer Class Reference

#include <reducer.h>

Public Member Functions

BigInt cube (const BigInt &x) const
 
const BigIntget_modulus () const
 
bool initialized () const
 
 Modular_Reducer ()
 
 Modular_Reducer (const BigInt &mod)
 
BigInt multiply (const BigInt &x, const BigInt &y) const
 
BigInt reduce (const BigInt &x) const
 
void reduce (BigInt &out, const BigInt &x, secure_vector< word > &ws) const
 
BigInt square (const BigInt &x) const
 

Detailed Description

Modular Reducer (using Barrett's technique)

Definition at line 18 of file reducer.h.

Constructor & Destructor Documentation

◆ Modular_Reducer() [1/2]

Botan::Modular_Reducer::Modular_Reducer ( )
inline

Definition at line 60 of file reducer.h.

60 { m_mod_words = 0; }

◆ Modular_Reducer() [2/2]

Botan::Modular_Reducer::Modular_Reducer ( const BigInt mod)
explicit

Definition at line 18 of file reducer.cpp.

References Botan::ct_divide(), Botan::BigInt::set_bit(), and Botan::BigInt::sig_words().

19  {
20  if(mod < 0)
21  throw Invalid_Argument("Modular_Reducer: modulus must be positive");
22 
23  // Left uninitialized if mod == 0
24  m_mod_words = 0;
25 
26  if(mod > 0)
27  {
28  m_modulus = mod;
29  m_mod_words = m_modulus.sig_words();
30 
31  // Compute mu = floor(2^{2k} / m)
32  m_mu.set_bit(2 * BOTAN_MP_WORD_BITS * m_mod_words);
33  m_mu = ct_divide(m_mu, m_modulus);
34  }
35  }
void set_bit(size_t n)
Definition: bigint.h:430
void ct_divide(const BigInt &x, const BigInt &y, BigInt &q_out, BigInt &r_out)
Definition: divide.cpp:52
size_t sig_words() const
Definition: bigint.h:586

Member Function Documentation

◆ cube()

BigInt Botan::Modular_Reducer::cube ( const BigInt x) const
inline

Cube mod p

Parameters
xthe value to cube
Returns
(x * x * x) % p

Definition at line 47 of file reducer.h.

References Botan::square().

Referenced by Botan::EC_Group::verify_group().

48  { return multiply(x, this->square(x)); }
BigInt square(const BigInt &x) const
Definition: reducer.h:39
BigInt multiply(const BigInt &x, const BigInt &y) const
Definition: reducer.h:31

◆ get_modulus()

const BigInt& Botan::Modular_Reducer::get_modulus ( ) const
inline

Definition at line 21 of file reducer.h.

21 { return m_modulus; }

◆ initialized()

bool Botan::Modular_Reducer::initialized ( ) const
inline

Definition at line 58 of file reducer.h.

Referenced by Botan::Blinder::blind(), and Botan::Blinder::unblind().

58 { return (m_mod_words != 0); }

◆ multiply()

BigInt Botan::Modular_Reducer::multiply ( const BigInt x,
const BigInt y 
) const
inline

Multiply mod p

Parameters
xthe first operand
ythe second operand
Returns
(x * y) % p

Definition at line 31 of file reducer.h.

Referenced by Botan::Blinder::blind(), botan_mp_mod_mul(), Botan::is_lucas_probable_prime(), Botan::Montgomery_Params::Montgomery_Params(), Botan::power_mod(), Botan::ressol(), Botan::Blinder::unblind(), and Botan::EC_Group::verify_group().

32  { return reduce(x * y); }
BigInt reduce(const BigInt &x) const
Definition: reducer.cpp:37

◆ reduce() [1/2]

BigInt Botan::Modular_Reducer::reduce ( const BigInt x) const

Definition at line 37 of file reducer.cpp.

Referenced by Botan::DL_Group::DL_Group(), Botan::generate_dsa_primes(), Botan::is_lucas_probable_prime(), Botan::Montgomery_Params::Montgomery_Params(), Botan::PointGFp_Base_Point_Precompute::mul(), Botan::power_mod(), and Botan::EC_Group::verify_group().

38  {
39  BigInt r;
40  secure_vector<word> ws;
41  reduce(r, x, ws);
42  return r;
43  }
BigInt reduce(const BigInt &x) const
Definition: reducer.cpp:37

◆ reduce() [2/2]

void Botan::Modular_Reducer::reduce ( BigInt out,
const BigInt x,
secure_vector< word > &  ws 
) const

Low level reduction function. Mostly for internal use. Sometimes useful for performance by reducing temporaries Reduce x mod p and place the output in out. ** X and out must not reference each other ** ws is a temporary workspace.

Definition at line 70 of file reducer.cpp.

References Botan::BigInt::add(), Botan::clear_mem(), Botan::ct_modulo(), Botan::BigInt::ct_reduce_below(), Botan::BigInt::data(), Botan::BigInt::is_negative(), Botan::BigInt::is_nonzero(), Botan::BigInt::mask_bits(), Botan::BigInt::mul(), Botan::BigInt::Positive, Botan::BigInt::rev_sub(), Botan::BigInt::set_sign(), Botan::BigInt::sig_words(), and Botan::BigInt::size().

71  {
72  if(&t1 == &x)
73  throw Invalid_State("Modular_Reducer arguments cannot alias");
74  if(m_mod_words == 0)
75  throw Invalid_State("Modular_Reducer: Never initalized");
76 
77  const size_t x_sw = x.sig_words();
78 
79  if(x_sw > 2*m_mod_words)
80  {
81  // too big, fall back to slow boat division
82  t1 = ct_modulo(x, m_modulus);
83  return;
84  }
85 
86  t1 = x;
87  t1.set_sign(BigInt::Positive);
88  t1 >>= (BOTAN_MP_WORD_BITS * (m_mod_words - 1));
89 
90  t1.mul(m_mu, ws);
91  t1 >>= (BOTAN_MP_WORD_BITS * (m_mod_words + 1));
92 
93  // TODO add masked mul to avoid computing high bits
94  t1.mul(m_modulus, ws);
95  t1.mask_bits(BOTAN_MP_WORD_BITS * (m_mod_words + 1));
96 
97  t1.rev_sub(x.data(), std::min(x_sw, m_mod_words + 1), ws);
98 
99  /*
100  * If t1 < 0 then we must add b^(k+1) where b = 2^w. To avoid a
101  * side channel perform the addition unconditionally, with ws set
102  * to either b^(k+1) or else 0.
103  */
104  const word t1_neg = t1.is_negative();
105 
106  if(ws.size() < m_mod_words + 2)
107  ws.resize(m_mod_words + 2);
108  clear_mem(ws.data(), ws.size());
109  ws[m_mod_words + 1] = t1_neg;
110 
111  t1.add(ws.data(), m_mod_words + 2, BigInt::Positive);
112 
113  // Per HAC this step requires at most 2 subtractions
114  t1.ct_reduce_below(m_modulus, ws, 2);
115 
116  cnd_rev_sub(t1.is_nonzero() && x.is_negative(), t1, m_modulus.data(), m_modulus.size(), ws);
117  }
void clear_mem(T *ptr, size_t n)
Definition: mem_ops.h:115
BigInt ct_modulo(const BigInt &x, const BigInt &y)
Definition: divide.cpp:118
const word * data() const
Definition: bigint.h:620
size_t size() const
Definition: bigint.h:580

◆ square()

BigInt Botan::Modular_Reducer::square ( const BigInt x) const
inline

Square mod p

Parameters
xthe value to square
Returns
(x * x) % p

Definition at line 39 of file reducer.h.

References Botan::square().

Referenced by Botan::Blinder::blind(), Botan::is_lucas_probable_prime(), Botan::Montgomery_Params::Montgomery_Params(), Botan::passes_miller_rabin_test(), Botan::power_mod(), Botan::ressol(), and Botan::EC_Group::verify_group().

40  { return reduce(Botan::square(x)); }
BigInt square(const BigInt &x)
Definition: mp_numth.cpp:19
BigInt reduce(const BigInt &x) const
Definition: reducer.cpp:37

The documentation for this class was generated from the following files: