diff options
author | lloyd <[email protected]> | 2010-02-25 21:08:53 +0000 |
---|---|---|
committer | lloyd <[email protected]> | 2010-02-25 21:08:53 +0000 |
commit | 8c0880d3e84d5273d3861967dc2bdb9d1b2bb18f (patch) | |
tree | 75cd2cd8efb9b474b677599a28d2795822ff922a /src | |
parent | 2713464d38711fba803399992627525bd980f5e6 (diff) |
Hide MillerRabin_Test class (only used in numthry.cpp)
Inline simple functions in Modular_Reducer
Add Modular_Reducer::cube convenience function
Diffstat (limited to 'src')
-rw-r--r-- | src/math/gfpmath/curve_gfp.h | 1 | ||||
-rw-r--r-- | src/math/gfpmath/point_gfp.cpp | 4 | ||||
-rw-r--r-- | src/math/numbertheory/numthry.cpp | 100 | ||||
-rw-r--r-- | src/math/numbertheory/numthry.h | 16 | ||||
-rw-r--r-- | src/math/numbertheory/reducer.cpp | 19 | ||||
-rw-r--r-- | src/math/numbertheory/reducer.h | 28 |
6 files changed, 84 insertions, 84 deletions
diff --git a/src/math/gfpmath/curve_gfp.h b/src/math/gfpmath/curve_gfp.h index 6010183b8..697065dfe 100644 --- a/src/math/gfpmath/curve_gfp.h +++ b/src/math/gfpmath/curve_gfp.h @@ -11,6 +11,7 @@ #define BOTAN_GFP_CURVE_H__ #include <botan/numthry.h> +#include <botan/reducer.h> namespace Botan { diff --git a/src/math/gfpmath/point_gfp.cpp b/src/math/gfpmath/point_gfp.cpp index c28b1eb62..06c42d18c 100644 --- a/src/math/gfpmath/point_gfp.cpp +++ b/src/math/gfpmath/point_gfp.cpp @@ -229,7 +229,7 @@ BigInt PointGFp::get_affine_y() const const Modular_Reducer& mod_p = curve.mod_p(); - BigInt z3 = mod_p.multiply(coord_z, mod_p.square(coord_z)); + BigInt z3 = mod_p.cube(coord_z); return mod_p.multiply(coord_y, inverse_mod(z3, curve.get_p())); } @@ -254,7 +254,7 @@ void PointGFp::check_invariants() const const Modular_Reducer& mod_p = curve.mod_p(); BigInt y2 = mod_p.square(coord_y); - BigInt x3 = mod_p.multiply(coord_x, mod_p.square(coord_x)); + BigInt x3 = mod_p.cube(coord_x); BigInt ax = mod_p.multiply(coord_x, curve.get_a()); diff --git a/src/math/numbertheory/numthry.cpp b/src/math/numbertheory/numthry.cpp index 0740ea21b..e4c52323e 100644 --- a/src/math/numbertheory/numthry.cpp +++ b/src/math/numbertheory/numthry.cpp @@ -1,11 +1,12 @@ /* * Number Theory Functions -* (C) 1999-2009 Jack Lloyd +* (C) 1999-2010 Jack Lloyd * * Distributed under the terms of the Botan license */ #include <botan/numthry.h> +#include <botan/reducer.h> #include <botan/internal/bit_ops.h> #include <algorithm> @@ -14,6 +15,62 @@ namespace Botan { namespace { /* +* Miller-Rabin Primality Tester +*/ +class MillerRabin_Test + { + public: + bool passes_test(const BigInt& nonce); + MillerRabin_Test(const BigInt& num); + private: + BigInt n, r, n_minus_1; + u32bit s; + Fixed_Exponent_Power_Mod pow_mod; + Modular_Reducer reducer; + }; + +/* +* Miller-Rabin Test +*/ +bool MillerRabin_Test::passes_test(const BigInt& a) + { + if(a < 2 || a >= n_minus_1) + throw Invalid_Argument("Bad size for nonce in Miller-Rabin test"); + + BigInt y = pow_mod(a); + if(y == 1 || y == n_minus_1) + return true; + + for(u32bit i = 1; i != s; ++i) + { + y = reducer.square(y); + + if(y == 1) + return false; + if(y == n_minus_1) + return true; + } + return false; + } + +/* +* Miller-Rabin Constructor +*/ +MillerRabin_Test::MillerRabin_Test(const BigInt& num) + { + if(num.is_even() || num < 3) + throw Invalid_Argument("MillerRabin_Test: Invalid number for testing"); + + n = num; + n_minus_1 = n - 1; + s = low_zero_bits(n_minus_1); + r = n_minus_1 >> s; + + pow_mod = Fixed_Exponent_Power_Mod(r, n); + reducer = Modular_Reducer(n); + } + +/* * Miller-Rabin Iterations */ u32bit miller_rabin_test_iterations(u32bit bits, bool verify) @@ -300,45 +357,4 @@ bool passes_mr_tests(RandomNumberGenerator& rng, return true; } -/* -* Miller-Rabin Test -*/ -bool MillerRabin_Test::passes_test(const BigInt& a) - { - if(a < 2 || a >= n_minus_1) - throw Invalid_Argument("Bad size for nonce in Miller-Rabin test"); - - BigInt y = pow_mod(a); - if(y == 1 || y == n_minus_1) - return true; - - for(u32bit i = 1; i != s; ++i) - { - y = reducer.square(y); - - if(y == 1) - return false; - if(y == n_minus_1) - return true; - } - return false; - } - -/* -* Miller-Rabin Constructor -*/ -MillerRabin_Test::MillerRabin_Test(const BigInt& num) - { - if(num.is_even() || num < 3) - throw Invalid_Argument("MillerRabin_Test: Invalid number for testing"); - - n = num; - n_minus_1 = n - 1; - s = low_zero_bits(n_minus_1); - r = n_minus_1 >> s; - - pow_mod = Fixed_Exponent_Power_Mod(r, n); - reducer = Modular_Reducer(n); - } - } diff --git a/src/math/numbertheory/numthry.h b/src/math/numbertheory/numthry.h index ae2c219fc..080f184a4 100644 --- a/src/math/numbertheory/numthry.h +++ b/src/math/numbertheory/numthry.h @@ -9,7 +9,6 @@ #define BOTAN_NUMBER_THEORY_H__ #include <botan/bigint.h> -#include <botan/reducer.h> #include <botan/pow_mod.h> #include <botan/rng.h> @@ -100,21 +99,6 @@ const u32bit PRIME_PRODUCTS_TABLE_SIZE = 256; extern const u16bit BOTAN_DLL PRIMES[]; extern const u64bit PRIME_PRODUCTS[]; -/* -* Miller-Rabin Primality Tester -*/ -class BOTAN_DLL MillerRabin_Test - { - public: - bool passes_test(const BigInt&); - MillerRabin_Test(const BigInt&); - private: - BigInt n, r, n_minus_1; - u32bit s; - Fixed_Exponent_Power_Mod pow_mod; - Modular_Reducer reducer; - }; - } #endif diff --git a/src/math/numbertheory/reducer.cpp b/src/math/numbertheory/reducer.cpp index aa53f1a0e..257ece56e 100644 --- a/src/math/numbertheory/reducer.cpp +++ b/src/math/numbertheory/reducer.cpp @@ -1,12 +1,11 @@ /* * Modular Reducer -* (C) 1999-2007 Jack Lloyd +* (C) 1999-2010 Jack Lloyd * * Distributed under the terms of the Botan license */ #include <botan/reducer.h> -#include <botan/numthry.h> #include <botan/internal/mp_core.h> namespace Botan { @@ -78,20 +77,4 @@ BigInt Modular_Reducer::reduce(const BigInt& x) const return t1; } -/* -* Multiply, followed by a reduction -*/ -BigInt Modular_Reducer::multiply(const BigInt& x, const BigInt& y) const - { - return reduce(x * y); - } - -/* -* Square, followed by a reduction -*/ -BigInt Modular_Reducer::square(const BigInt& x) const - { - return reduce(Botan::square(x)); - } - } diff --git a/src/math/numbertheory/reducer.h b/src/math/numbertheory/reducer.h index baaab47a4..80c0f27e1 100644 --- a/src/math/numbertheory/reducer.h +++ b/src/math/numbertheory/reducer.h @@ -1,14 +1,14 @@ /* * Modular Reducer -* (C) 1999-2007 Jack Lloyd +* (C) 1999-2010 Jack Lloyd * * Distributed under the terms of the Botan license */ -#ifndef BOTAN_MODARITH_H__ -#define BOTAN_MODARITH_H__ +#ifndef BOTAN_MODULAR_REDUCER_H__ +#define BOTAN_MODULAR_REDUCER_H__ -#include <botan/bigint.h> +#include <botan/numthry.h> namespace Botan { @@ -18,10 +18,26 @@ namespace Botan { class BOTAN_DLL Modular_Reducer { public: - BigInt multiply(const BigInt& x, const BigInt& y) const; - BigInt square(const BigInt& x) const; BigInt reduce(const BigInt& x) const; + /** + * Multiply mod p + */ + BigInt multiply(const BigInt& x, const BigInt& y) const + { return reduce(x * y); } + + /** + * Square mod p + */ + BigInt square(const BigInt& x) const + { return reduce(Botan::square(x)); } + + /** + * Cube mod p + */ + BigInt cube(const BigInt& x) const + { return multiply(x, this->square(x)); } + bool initialized() const { return (mod_words != 0); } Modular_Reducer() { mod_words = 0; } |