Put only the implementation of BigInt in src/bigint, mathematical functions

on top of BigInt go to src/math. Some prototypes were moved in order to complete the split, in particular random_integer() is now a static member of BigInt instead of being a global function, and divide() is in divide.h instead of numthry.h
author: lloyd <[email protected]> 2008-09-29 18:12:16 +0000
committer: lloyd <[email protected]> 2008-09-29 18:12:16 +0000
commit: 0d8e9744ef02aba33ddd89c93194ce526f6ff6ee (patch)
tree: e60064db23397f9a9dc3b847f9c4199be7c7ca0d /src/bigint
parent: 26abd45c61294aacdd59fa4763ff1cd78aefbc7c (diff)
24 files changed, 13 insertions, 2393 deletions
diff --git a/src/bigint/big_code.cpp b/src/bigint/big_code.cpp
index 824cbb63e..e7a5e4946 100644
--- a/src/bigint/big_code.cpp
+++ b/src/bigint/big_code.cpp
@@ -4,7 +4,7 @@
 *************************************************/
 
 #include <botan/bigint.h>
-#include <botan/numthry.h>
+#include <botan/divide.h>
 #include <botan/charset.h>
 #include <botan/hex.h>
 
diff --git a/src/bigint/big_ops3.cpp b/src/bigint/big_ops3.cpp
index 7f412f6db..ff24eab1c 100644
--- a/src/bigint/big_ops3.cpp
+++ b/src/bigint/big_ops3.cpp
@@ -4,7 +4,7 @@
 *************************************************/
 
 #include <botan/bigint.h>
-#include <botan/numthry.h>
+#include <botan/divide.h>
 #include <botan/mp_core.h>
 #include <botan/bit_ops.h>
 #include <algorithm>
diff --git a/src/bigint/big_rand.cpp b/src/bigint/big_rand.cpp
index b8cad3a4c..055873642 100644
--- a/src/bigint/big_rand.cpp
+++ b/src/bigint/big_rand.cpp
@@ -5,7 +5,6 @@
 
 #include <botan/bigint.h>
 #include <botan/parsing.h>
-#include <botan/numthry.h>
 
 namespace Botan {
 
@@ -46,8 +45,8 @@ void BigInt::randomize(RandomNumberGenerator& rng,
 /*************************************************
 * Generate a random integer within given range   *
 *************************************************/
-BigInt random_integer(RandomNumberGenerator& rng,
-                      const BigInt& min, const BigInt& max)
+BigInt BigInt::random_integer(RandomNumberGenerator& rng,
+                              const BigInt& min, const BigInt& max)
    {
    BigInt range = max - min;
 
@@ -57,20 +56,4 @@ BigInt random_integer(RandomNumberGenerator& rng,
    return (min + (BigInt(rng, range.bits() + 2) % range));
    }
 
-/*************************************************
-* Generate a random safe prime                   *
-*************************************************/
-BigInt random_safe_prime(RandomNumberGenerator& rng, u32bit bits)
-   {
-   if(bits <= 64)
-      throw Invalid_Argument("random_safe_prime: Can't make a prime of " +
-                             to_string(bits) + " bits");
-
-   BigInt p;
-   do
-      p = (random_prime(rng, bits - 1) << 1) + 1;
-   while(!is_prime(p, rng));
-   return p;
-   }
-
 }
diff --git a/src/bigint/bigint.h b/src/bigint/bigint.h
index b1286551e..bb1d7ef7b 100644
--- a/src/bigint/bigint.h
+++ b/src/bigint/bigint.h
@@ -115,6 +115,9 @@ class BOTAN_DLL BigInt
       void binary_decode(const MemoryRegion<byte>&);
       u32bit encoded_size(Base = Binary) const;
 
+      static BigInt random_integer(RandomNumberGenerator&,
+                                   const BigInt&, const BigInt&);
+
       static SecureVector<byte> encode(const BigInt&, Base = Binary);
       static void encode(byte[], const BigInt&, Base = Binary);
       static BigInt decode(const byte[], u32bit, Base = Binary);
diff --git a/src/bigint/blinding.cpp b/src/bigint/blinding.cpp
deleted file mode 100644
index 740904d10..000000000
--- a/src/bigint/blinding.cpp
+++ /dev/null
@@ -1,47 +0,0 @@
-/*************************************************
-* Blinder Source File                            *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#include <botan/blinding.h>
-#include <botan/numthry.h>
-
-namespace Botan {
-
-/*************************************************
-* Blinder Constructor                            *
-*************************************************/
-Blinder::Blinder(const BigInt& e, const BigInt& d, const BigInt& n)
-   {
-   if(e < 1 || d < 1 || n < 1)
-      throw Invalid_Argument("Blinder: Arguments too small");
-
-   reducer = Modular_Reducer(n);
-   this->e = e;
-   this->d = d;
-   }
-
-/*************************************************
-* Blind a number                                 *
-*************************************************/
-BigInt Blinder::blind(const BigInt& i) const
-   {
-   if(!reducer.initialized())
-      return i;
-
-   e = reducer.square(e);
-   d = reducer.square(d);
-   return reducer.multiply(i, e);
-   }
-
-/*************************************************
-* Unblind a number                               *
-*************************************************/
-BigInt Blinder::unblind(const BigInt& i) const
-   {
-   if(!reducer.initialized())
-      return i;
-   return reducer.multiply(i, d);
-   }
-
-}
diff --git a/src/bigint/blinding.h b/src/bigint/blinding.h
deleted file mode 100644
index 958686fb1..000000000
--- a/src/bigint/blinding.h
+++ /dev/null
@@ -1,32 +0,0 @@
-/*************************************************
-* Blinder Header File                            *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#ifndef BOTAN_BLINDER_H__
-#define BOTAN_BLINDER_H__
-
-#include <botan/bigint.h>
-#include <botan/reducer.h>
-
-namespace Botan {
-
-/*************************************************
-* Blinding Function Object                       *
-*************************************************/
-class BOTAN_DLL Blinder
-   {
-   public:
-      BigInt blind(const BigInt&) const;
-      BigInt unblind(const BigInt&) const;
-
-      Blinder() {}
-      Blinder(const BigInt&, const BigInt&, const BigInt&);
-   private:
-      Modular_Reducer reducer;
-      mutable BigInt e, d;
-   };
-
-}
-
-#endif
diff --git a/src/bigint/def_powm.cpp b/src/bigint/def_powm.cpp
deleted file mode 100644
index a28438f5b..000000000
--- a/src/bigint/def_powm.cpp
+++ /dev/null
@@ -1,22 +0,0 @@
-/*************************************************
-* Modular Exponentiation Source File             *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#include <botan/eng_def.h>
-#include <botan/def_powm.h>
-
-namespace Botan {
-
-/*************************************************
-* Choose a modular exponentation algorithm       *
-*************************************************/
-Modular_Exponentiator*
-Default_Engine::mod_exp(const BigInt& n, Power_Mod::Usage_Hints hints) const
-   {
-   if(n.is_odd())
-      return new Montgomery_Exponentiator(n, hints);
-   return new Fixed_Window_Exponentiator(n, hints);
-   }
-
-}
diff --git a/src/bigint/def_powm.h b/src/bigint/def_powm.h
deleted file mode 100644
index c91ff002c..000000000
--- a/src/bigint/def_powm.h
+++ /dev/null
@@ -1,62 +0,0 @@
-/*************************************************
-* Modular Exponentiation Header File             *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#ifndef BOTAN_DEFAULT_MODEXP_H__
-#define BOTAN_DEFAULT_MODEXP_H__
-
-#include <botan/pow_mod.h>
-#include <botan/reducer.h>
-#include <vector>
-
-namespace Botan {
-
-/*************************************************
-* Fixed Window Exponentiator                     *
-*************************************************/
-class BOTAN_DLL Fixed_Window_Exponentiator : public Modular_Exponentiator
-   {
-   public:
-      void set_exponent(const BigInt&);
-      void set_base(const BigInt&);
-      BigInt execute() const;
-
-      Modular_Exponentiator* copy() const
-         { return new Fixed_Window_Exponentiator(*this); }
-
-      Fixed_Window_Exponentiator(const BigInt&, Power_Mod::Usage_Hints);
-   private:
-      Modular_Reducer reducer;
-      BigInt exp;
-      u32bit window_bits;
-      std::vector<BigInt> g;
-      Power_Mod::Usage_Hints hints;
-   };
-
-/*************************************************
-* Montgomery Exponentiator                       *
-*************************************************/
-class BOTAN_DLL Montgomery_Exponentiator : public Modular_Exponentiator
-   {
-   public:
-      void set_exponent(const BigInt&);
-      void set_base(const BigInt&);
-      BigInt execute() const;
-
-      Modular_Exponentiator* copy() const
-         { return new Montgomery_Exponentiator(*this); }
-
-      Montgomery_Exponentiator(const BigInt&, Power_Mod::Usage_Hints);
-   private:
-      BigInt exp, modulus;
-      BigInt R2, R_mod;
-      std::vector<BigInt> g;
-      word mod_prime;
-      u32bit mod_words, exp_bits, window_bits;
-      Power_Mod::Usage_Hints hints;
-   };
-
-}
-
-#endif
diff --git a/src/bigint/divide.cpp b/src/bigint/divide.cpp
index 003a06d83..ba088ced4 100644
--- a/src/bigint/divide.cpp
+++ b/src/bigint/divide.cpp
@@ -3,7 +3,7 @@
 * (C) 1999-2007 Jack Lloyd                       *
 *************************************************/
 
-#include <botan/numthry.h>
+#include <botan/divide.h>
 #include <botan/mp_core.h>
 
 namespace Botan {
diff --git a/src/bigint/dsa_gen.cpp b/src/bigint/dsa_gen.cpp
deleted file mode 100644
index baaba66ee..000000000
--- a/src/bigint/dsa_gen.cpp
+++ /dev/null
@@ -1,134 +0,0 @@
-/*************************************************
-* DSA Parameter Generation Source File           *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#include <botan/dl_group.h>
-#include <botan/numthry.h>
-#include <botan/lookup.h>
-#include <botan/parsing.h>
-#include <algorithm>
-#include <memory>
-
-namespace Botan {
-
-namespace {
-
-/*************************************************
-* Check if this size is allowed by FIPS 186-3    *
-*************************************************/
-bool fips186_3_valid_size(u32bit pbits, u32bit qbits)
-   {
-   if(qbits == 160)
-      return (pbits == 512 || pbits == 768 || pbits == 1024);
-
-   if(qbits == 224)
-      return (pbits == 2048);
-
-   if(qbits == 256)
-      return (pbits == 2048 || pbits == 3072);
-
-   return false;
-   }
-
-}
-
-/*************************************************
-* Attempt DSA prime generation with given seed   *
-*************************************************/
-bool DL_Group::generate_dsa_primes(RandomNumberGenerator& rng,
-                                   BigInt& p, BigInt& q,
-                                   u32bit pbits, u32bit qbits,
-                                   const MemoryRegion<byte>& seed_c)
-   {
-   if(!fips186_3_valid_size(pbits, qbits))
-      throw Invalid_Argument(
-         "FIPS 186-3 does not allow DSA domain parameters of " +
-         to_string(pbits) + "/" + to_string(qbits) + " bits long");
-
-   if(qbits == 224)
-      throw Invalid_Argument(
-         "DSA parameter generation with a q of 224 bits not supported");
-
-   if(seed_c.size() * 8 < qbits)
-      throw Invalid_Argument(
-         "Generating a DSA parameter set with a " + to_string(qbits) +
-         "long q requires a seed at least as many bits long");
-
-   std::auto_ptr<HashFunction> hash(get_hash("SHA-" + to_string(qbits)));
-
-   const u32bit HASH_SIZE = hash->OUTPUT_LENGTH;
-
-   class Seed
-      {
-      public:
-         Seed(const MemoryRegion<byte>& s) : seed(s) {}
-
-         operator MemoryRegion<byte>& () { return seed; }
-
-         Seed& operator++()
-            {
-            for(u32bit j = seed.size(); j > 0; --j)
-               if(++seed[j-1])
-                  break;
-            return (*this);
-            }
-      private:
-         SecureVector<byte> seed;
-      };
-
-   Seed seed(seed_c);
-
-   q.binary_decode(hash->process(seed));
-   q.set_bit(qbits-1);
-   q.set_bit(0);
-
-   if(!is_prime(q, rng))
-      return false;
-
-   const u32bit n = (pbits-1) / (HASH_SIZE * 8),
-                b = (pbits-1) % (HASH_SIZE * 8);
-
-   BigInt X;
-   SecureVector<byte> V(HASH_SIZE * (n+1));
-
-   for(u32bit j = 0; j != 4096; ++j)
-      {
-      for(u32bit k = 0; k <= n; ++k)
-         {
-         ++seed;
-         hash->update(seed);
-         hash->final(V + HASH_SIZE * (n-k));
-         }
-
-      X.binary_decode(V + (HASH_SIZE - 1 - b/8),
-                      V.size() - (HASH_SIZE - 1 - b/8));
-      X.set_bit(pbits-1);
-
-      p = X - (X % (2*q) - 1);
-
-      if(p.bits() == pbits && is_prime(p, rng))
-         return true;
-      }
-   return false;
-   }
-
-/*************************************************
-* Generate DSA Primes                            *
-*************************************************/
-SecureVector<byte> DL_Group::generate_dsa_primes(RandomNumberGenerator& rng,
-                                                 BigInt& p, BigInt& q,
-                                                 u32bit pbits, u32bit qbits)
-   {
-   SecureVector<byte> seed(qbits/8);
-
-   while(true)
-      {
-      rng.randomize(seed, seed.size());
-
-      if(generate_dsa_primes(rng, p, q, pbits, qbits, seed))
-         return seed;
-      }
-   }
-
-}
diff --git a/src/bigint/info.txt b/src/bigint/info.txt
index 33b738d49..b82d1cd72 100644
--- a/src/bigint/info.txt
+++ b/src/bigint/info.txt
@@ -6,43 +6,26 @@ define BIGINT
 
 <requires>
 hex
-mp_ia32
+mp_amd64
 </requires>
 
 <add>
+bigint.h
+divide.h
+mp_core.h
+mp_types.h
 big_code.cpp
 big_io.cpp
 big_ops2.cpp
 big_ops3.cpp
 big_rand.cpp
 bigint.cpp
-bigint.h
-blinding.cpp
-blinding.h
-def_powm.h
-def_powm.cpp
 divide.cpp
-dsa_gen.cpp
-jacobi.cpp
-make_prm.cpp
 mp_asm.cpp
 mp_comba.cpp
-mp_core.h
 mp_karat.cpp
 mp_misc.cpp
 mp_monty.cpp
 mp_mulop.cpp
-mp_numth.cpp
 mp_shift.cpp
-mp_types.h
-numthry.cpp
-numthry.h
-pow_mod.cpp
-pow_mod.h
-powm_fw.cpp
-powm_mnt.cpp
-primes.cpp
-reducer.cpp
-reducer.h
-ressol.cpp
 </add>
diff --git a/src/bigint/jacobi.cpp b/src/bigint/jacobi.cpp
deleted file mode 100644
index 57c78508a..000000000
--- a/src/bigint/jacobi.cpp
+++ /dev/null
@@ -1,51 +0,0 @@
-/*************************************************
-* Jacobi Function Source File                    *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#include <botan/numthry.h>
-
-namespace Botan {
-
-/*************************************************
-* Calculate the Jacobi symbol                    *
-*************************************************/
-s32bit jacobi(const BigInt& a, const BigInt& n)
-   {
-   if(a.is_negative())
-      throw Invalid_Argument("jacobi: first argument must be non-negative");
-   if(n.is_even() || n < 2)
-      throw Invalid_Argument("jacobi: second argument must be odd and > 1");
-
-   BigInt x = a, y = n;
-   s32bit J = 1;
-
-   while(y > 1)
-      {
-      x %= y;
-      if(x > y / 2)
-         {
-         x = y - x;
-         if(y % 4 == 3)
-            J = -J;
-         }
-      if(x.is_zero())
-         return 0;
-
-      u32bit shifts = low_zero_bits(x);
-      x >>= shifts;
-      if(shifts % 2)
-         {
-         word y_mod_8 = y % 8;
-         if(y_mod_8 == 3 || y_mod_8 == 5)
-            J = -J;
-         }
-
-      if(x % 4 == 3 && y % 4 == 3)
-         J = -J;
-      std::swap(x, y);
-      }
-   return J;
-   }
-
-}
diff --git a/src/bigint/make_prm.cpp b/src/bigint/make_prm.cpp
deleted file mode 100644
index dc26a0400..000000000
--- a/src/bigint/make_prm.cpp
+++ /dev/null
@@ -1,79 +0,0 @@
-/*************************************************
-* Prime Generation Source File                   *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#include <botan/numthry.h>
-#include <botan/parsing.h>
-#include <algorithm>
-
-namespace Botan {
-
-/*************************************************
-* Generate a random prime                        *
-*************************************************/
-BigInt random_prime(RandomNumberGenerator& rng,
-                    u32bit bits, const BigInt& coprime,
-                    u32bit equiv, u32bit modulo)
-   {
-   if(bits <= 1)
-      throw Invalid_Argument("random_prime: Can't make a prime of " +
-                             to_string(bits) + " bits");
-   else if(bits == 2)
-      return ((rng.next_byte() % 1) ? 2 : 3);
-   else if(bits == 3)
-      return ((rng.next_byte() % 1) ? 5 : 7);
-   else if(bits == 4)
-      return ((rng.next_byte() % 1) ? 11 : 13);
-
-   if(coprime <= 0)
-      throw Invalid_Argument("random_prime: coprime must be > 0");
-   if(modulo % 2 == 1 || modulo == 0)
-      throw Invalid_Argument("random_prime: Invalid modulo value");
-   if(equiv >= modulo || equiv % 2 == 0)
-      throw Invalid_Argument("random_prime: equiv must be < modulo, and odd");
-
-   while(true)
-      {
-      BigInt p(rng, bits);
-      p.set_bit(bits - 2);
-      p.set_bit(0);
-
-      if(p % modulo != equiv)
-         p += (modulo - p % modulo) + equiv;
-
-      const u32bit sieve_size = std::min(bits / 2, PRIME_TABLE_SIZE);
-      SecureVector<u32bit> sieve(sieve_size);
-
-      for(u32bit j = 0; j != sieve.size(); ++j)
-         sieve[j] = p % PRIMES[j];
-
-      u32bit counter = 0;
-      while(true)
-         {
-         if(counter == 4096 || p.bits() > bits)
-            break;
-
-         bool passes_sieve = true;
-         ++counter;
-         p += modulo;
-
-         if(p.bits() > bits)
-            break;
-
-         for(u32bit j = 0; j != sieve.size(); ++j)
-            {
-            sieve[j] = (sieve[j] + modulo) % PRIMES[j];
-            if(sieve[j] == 0)
-               passes_sieve = false;
-            }
-
-         if(!passes_sieve || gcd(p - 1, coprime) != 1)
-            continue;
-         if(passes_mr_tests(rng, p))
-            return p;
-         }
-      }
-   }
-
-}
diff --git a/src/bigint/mp_numth.cpp b/src/bigint/mp_numth.cpp
deleted file mode 100644
index b024d2e2d..000000000
--- a/src/bigint/mp_numth.cpp
+++ /dev/null
@@ -1,69 +0,0 @@
-/*************************************************
-* Fused and Important MP Algorithms Source File  *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#include <botan/numthry.h>
-#include <botan/mp_core.h>
-#include <botan/util.h>
-#include <algorithm>
-
-namespace Botan {
-
-/*************************************************
-* Square a BigInt                                *
-*************************************************/
-BigInt square(const BigInt& x)
-   {
-   const u32bit x_sw = x.sig_words();
-
-   BigInt z(BigInt::Positive, round_up(2*x_sw, 16));
-   SecureVector<word> workspace(z.size());
-
-   bigint_sqr(z.get_reg(), z.size(), workspace,
-              x.data(), x.size(), x_sw);
-   return z;
-   }
-
-/*************************************************
-* Multiply-Add Operation                         *
-*************************************************/
-BigInt mul_add(const BigInt& a, const BigInt& b, const BigInt& c)
-   {
-   if(c.is_negative() || c.is_zero())
-      throw Invalid_Argument("mul_add: Third argument must be > 0");
-
-   BigInt::Sign sign = BigInt::Positive;
-   if(a.sign() != b.sign())
-      sign = BigInt::Negative;
-
-   const u32bit a_sw = a.sig_words();
-   const u32bit b_sw = b.sig_words();
-   const u32bit c_sw = c.sig_words();
-
-   BigInt r(sign, std::max(a.size() + b.size(), c_sw) + 1);
-   SecureVector<word> workspace(r.size());
-
-   bigint_mul(r.get_reg(), r.size(), workspace,
-              a.data(), a.size(), a_sw,
-              b.data(), b.size(), b_sw);
-   const u32bit r_size = std::max(r.sig_words(), c_sw);
-   bigint_add2(r.get_reg(), r_size, c.data(), c_sw);
-   return r;
-   }
-
-/*************************************************
-* Subtract-Multiply Operation                    *
-*************************************************/
-BigInt sub_mul(const BigInt& a, const BigInt& b, const BigInt& c)
-   {
-   if(a.is_negative() || b.is_negative())
-      throw Invalid_Argument("sub_mul: First two arguments must be >= 0");
-
-   BigInt r = a;
-   r -= b;
-   r *= c;
-   return r;
-   }
-
-}
diff --git a/src/bigint/numthry.cpp b/src/bigint/numthry.cpp
deleted file mode 100644
index ffd523e82..000000000
--- a/src/bigint/numthry.cpp
+++ /dev/null
@@ -1,339 +0,0 @@
-/*************************************************
-* Number Theory Source File                      *
-* (C) 1999-2008 Jack Lloyd                       *
-*************************************************/
-
-#include <botan/numthry.h>
-#include <botan/bit_ops.h>
-#include <algorithm>
-
-namespace Botan {
-
-namespace {
-
-/*************************************************
-* Miller-Rabin Iterations                        *
-*************************************************/
-u32bit miller_rabin_test_iterations(u32bit bits, bool verify)
-   {
-   struct mapping { u32bit bits; u32bit verify_iter; u32bit check_iter; };
-
-   static const mapping tests[] = {
-      {   50, 55, 25 },
-      {  100, 38, 22 },
-      {  160, 32, 18 },
-      {  163, 31, 17 },
-      {  168, 30, 16 },
-      {  177, 29, 16 },
-      {  181, 28, 15 },
-      {  185, 27, 15 },
-      {  190, 26, 15 },
-      {  195, 25, 14 },
-      {  201, 24, 14 },
-      {  208, 23, 14 },
-      {  215, 22, 13 },
-      {  222, 21, 13 },
-      {  231, 20, 13 },
-      {  241, 19, 12 },
-      {  252, 18, 12 },
-      {  264, 17, 12 },
-      {  278, 16, 11 },
-      {  294, 15, 10 },
-      {  313, 14,  9 },
-      {  334, 13,  8 },
-      {  360, 12,  8 },
-      {  392, 11,  7 },
-      {  430, 10,  7 },
-      {  479,  9,  6 },
-      {  542,  8,  6 },
-      {  626,  7,  5 },
-      {  746,  6,  4 },
-      {  926,  5,  3 },
-      { 1232,  4,  2 },
-      { 1853,  3,  2 },
-      {    0,  0,  0 }
-   };
-
-   for(u32bit j = 0; tests[j].bits; ++j)
-      {
-      if(bits <= tests[j].bits)
-         {
-         if(verify)
-            return tests[j].verify_iter;
-         else
-            return tests[j].check_iter;
-         }
-      }
-   return 2;
-   }
-
-}
-
-/*************************************************
-* Return the number of 0 bits at the end of n    *
-*************************************************/
-u32bit low_zero_bits(const BigInt& n)
-   {
-   if(n.is_negative() || n.is_zero()) return 0;
-
-   u32bit low_zero = 0;
-
-   if(n.is_positive() && n.is_nonzero())
-      {
-      for(u32bit i = 0; i != n.size(); ++i)
-         {
-         word x = n[i];
-
-         if(x)
-            {
-            low_zero += ctz(x);
-            break;
-            }
-         else
-            low_zero += BOTAN_MP_WORD_BITS;
-         }
-      }
-
-   return low_zero;
-   }
-
-/*************************************************
-* Calculate the GCD                              *
-*************************************************/
-BigInt gcd(const BigInt& a, const BigInt& b)
-   {
-   if(a.is_zero() || b.is_zero()) return 0;
-   if(a == 1 || b == 1)           return 1;
-
-   BigInt x = a, y = b;
-   x.set_sign(BigInt::Positive);
-   y.set_sign(BigInt::Positive);
-   u32bit shift = std::min(low_zero_bits(x), low_zero_bits(y));
-
-   x >>= shift;
-   y >>= shift;
-
-   while(x.is_nonzero())
-      {
-      x >>= low_zero_bits(x);
-      y >>= low_zero_bits(y);
-      if(x >= y) { x -= y; x >>= 1; }
-      else       { y -= x; y >>= 1; }
-      }
-
-   return (y << shift);
-   }
-
-/*************************************************
-* Calculate the LCM                              *
-*************************************************/
-BigInt lcm(const BigInt& a, const BigInt& b)
-   {
-   return ((a * b) / gcd(a, b));
-   }
-
-/*************************************************
-* Find the Modular Inverse                       *
-*************************************************/
-BigInt inverse_mod(const BigInt& n, const BigInt& mod)
-   {
-   if(mod.is_zero())
-      throw BigInt::DivideByZero();
-   if(mod.is_negative() || n.is_negative())
-      throw Invalid_Argument("inverse_mod: arguments must be non-negative");
-
-   if(n.is_zero() || (n.is_even() && mod.is_even()))
-      return 0;
-
-   BigInt x = mod, y = n, u = mod, v = n;
-   BigInt A = 1, B = 0, C = 0, D = 1;
-
-   while(u.is_nonzero())
-      {
-      u32bit zero_bits = low_zero_bits(u);
-      u >>= zero_bits;
-      for(u32bit j = 0; j != zero_bits; ++j)
-         {
-         if(A.is_odd() || B.is_odd())
-            { A += y; B -= x; }
-         A >>= 1; B >>= 1;
-         }
-
-      zero_bits = low_zero_bits(v);
-      v >>= zero_bits;
-      for(u32bit j = 0; j != zero_bits; ++j)
-         {
-         if(C.is_odd() || D.is_odd())
-            { C += y; D -= x; }
-         C >>= 1; D >>= 1;
-         }
-
-      if(u >= v) { u -= v; A -= C; B -= D; }
-      else       { v -= u; C -= A; D -= B; }
-      }
-
-   if(v != 1)
-      return 0;
-
-   while(D.is_negative()) D += mod;
-   while(D >= mod) D -= mod;
-
-   return D;
-   }
-
-/*************************************************
-* Modular Exponentiation                         *
-*************************************************/
-BigInt power_mod(const BigInt& base, const BigInt& exp, const BigInt& mod)
-   {
-   Power_Mod pow_mod(mod);
-   pow_mod.set_base(base);
-   pow_mod.set_exponent(exp);
-   return pow_mod.execute();
-   }
-
-/*************************************************
-* Do simple tests of primality                   *
-*************************************************/
-s32bit simple_primality_tests(const BigInt& n)
-   {
-   const s32bit NOT_PRIME = -1, UNKNOWN = 0, PRIME = 1;
-
-   if(n == 2)
-      return PRIME;
-   if(n <= 1 || n.is_even())
-      return NOT_PRIME;
-
-   if(n <= PRIMES[PRIME_TABLE_SIZE-1])
-      {
-      const word num = n.word_at(0);
-      for(u32bit j = 0; PRIMES[j]; ++j)
-         {
-         if(num == PRIMES[j]) return PRIME;
-         if(num <  PRIMES[j]) return NOT_PRIME;
-         }
-      return NOT_PRIME;
-      }
-
-   u32bit check_first = std::min(n.bits() / 32, PRIME_PRODUCTS_TABLE_SIZE);
-   for(u32bit j = 0; j != check_first; ++j)
-      if(gcd(n, PRIME_PRODUCTS[j]) != 1)
-         return NOT_PRIME;
-
-   return UNKNOWN;
-   }
-
-/*************************************************
-* Fast check of primality                        *
-*************************************************/
-bool check_prime(const BigInt& n, RandomNumberGenerator& rng)
-   {
-   return run_primality_tests(rng, n, 0);
-   }
-
-/*************************************************
-* Test for primality                             *
-*************************************************/
-bool is_prime(const BigInt& n, RandomNumberGenerator& rng)
-   {
-   return run_primality_tests(rng, n, 1);
-   }
-
-/*************************************************
-* Verify primality                               *
-*************************************************/
-bool verify_prime(const BigInt& n, RandomNumberGenerator& rng)
-   {
-   return run_primality_tests(rng, n, 2);
-   }
-
-/*************************************************
-* Verify primality                               *
-*************************************************/
-bool run_primality_tests(RandomNumberGenerator& rng,
-                         const BigInt& n, u32bit level)
-   {
-   s32bit simple_tests = simple_primality_tests(n);
-   if(simple_tests) return (simple_tests == 1) ? true : false;
-   return passes_mr_tests(rng, n, level);
-   }
-
-/*************************************************
-* Test for primaility using Miller-Rabin         *
-*************************************************/
-bool passes_mr_tests(RandomNumberGenerator& rng,
-                     const BigInt& n, u32bit level)
-   {
-   const u32bit PREF_NONCE_BITS = 40;
-
-   if(level > 2)
-      level = 2;
-
-   MillerRabin_Test mr(n);
-
-   if(!mr.passes_test(2))
-      return false;
-
-   if(level == 0)
-      return true;
-
-   const u32bit NONCE_BITS = std::min(n.bits() - 1, PREF_NONCE_BITS);
-
-   const bool verify = (level == 2);
-
-   u32bit tests = miller_rabin_test_iterations(n.bits(), verify);
-
-   BigInt nonce;
-   for(u32bit j = 0; j != tests; ++j)
-      {
-      if(verify) nonce.randomize(rng, NONCE_BITS);
-      else       nonce = PRIMES[j];
-
-      if(!mr.passes_test(nonce))
-         return false;
-      }
-   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 j = 1; j != s; ++j)
-      {
-      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/bigint/numthry.h b/src/bigint/numthry.h
deleted file mode 100644
index 371621c2d..000000000
--- a/src/bigint/numthry.h
+++ /dev/null
@@ -1,103 +0,0 @@
-/*************************************************
-* Number Theory Header File                      *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#ifndef BOTAN_NUMBTHRY_H__
-#define BOTAN_NUMBTHRY_H__
-
-#include <botan/base.h>
-#include <botan/bigint.h>
-#include <botan/reducer.h>
-#include <botan/pow_mod.h>
-
-namespace Botan {
-
-/*************************************************
-* Fused Arithmetic Operations                    *
-*************************************************/
-BigInt BOTAN_DLL mul_add(const BigInt&, const BigInt&, const BigInt&);
-BigInt BOTAN_DLL sub_mul(const BigInt&, const BigInt&, const BigInt&);
-
-/*************************************************
-* Number Theory Functions                        *
-*************************************************/
-inline BigInt abs(const BigInt& n) { return n.abs(); }
-
-void BOTAN_DLL divide(const BigInt&, const BigInt&, BigInt&, BigInt&);
-
-BigInt BOTAN_DLL gcd(const BigInt&, const BigInt&);
-BigInt BOTAN_DLL lcm(const BigInt&, const BigInt&);
-
-BigInt BOTAN_DLL square(const BigInt&);
-BigInt BOTAN_DLL inverse_mod(const BigInt&, const BigInt&);
-s32bit BOTAN_DLL jacobi(const BigInt&, const BigInt&);
-
-BigInt BOTAN_DLL power_mod(const BigInt&, const BigInt&, const BigInt&);
-
-/*************************************************
-* Compute the square root of x modulo a prime    *
-* using the Shanks-Tonnelli algorithm            *
-*************************************************/
-BigInt ressol(const BigInt& x, const BigInt& p);
-
-/*************************************************
-* Utility Functions                              *
-*************************************************/
-u32bit BOTAN_DLL low_zero_bits(const BigInt&);
-
-/*************************************************
-* Primality Testing                              *
-*************************************************/
-bool BOTAN_DLL check_prime(const BigInt&, RandomNumberGenerator&);
-bool BOTAN_DLL is_prime(const BigInt&, RandomNumberGenerator&);
-bool BOTAN_DLL verify_prime(const BigInt&, RandomNumberGenerator&);
-
-s32bit BOTAN_DLL simple_primality_tests(const BigInt&);
-
-bool BOTAN_DLL passes_mr_tests(RandomNumberGenerator&,
-                               const BigInt&, u32bit = 1);
-
-bool BOTAN_DLL run_primality_tests(RandomNumberGenerator&,
-                                   const BigInt&, u32bit = 1);
-
-/*************************************************
-* Random Number Generation                       *
-*************************************************/
-BigInt BOTAN_DLL random_integer(RandomNumberGenerator&,
-                                const BigInt&, const BigInt&);
-
-BigInt BOTAN_DLL random_prime(RandomNumberGenerator&,
-                              u32bit bits, const BigInt& coprime = 1,
-                              u32bit equiv = 1, u32bit equiv_mod = 2);
-
-BigInt BOTAN_DLL random_safe_prime(RandomNumberGenerator&,
-                                   u32bit);
-
-/*************************************************
-* Prime Numbers                                  *
-*************************************************/
-const u32bit PRIME_TABLE_SIZE = 6541;
-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/bigint/pow_mod.cpp b/src/bigint/pow_mod.cpp
deleted file mode 100644
index 17ca7b796..000000000
--- a/src/bigint/pow_mod.cpp
+++ /dev/null
@@ -1,155 +0,0 @@
-/*************************************************
-* Modular Exponentiation Proxy Source File       *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#include <botan/pow_mod.h>
-#include <botan/engine.h>
-
-namespace Botan {
-
-/*************************************************
-* Power_Mod Constructor                          *
-*************************************************/
-Power_Mod::Power_Mod(const BigInt& n, Usage_Hints hints)
-   {
-   core = 0;
-   set_modulus(n, hints);
-   }
-
-/*************************************************
-* Power_Mod Copy Constructor                     *
-*************************************************/
-Power_Mod::Power_Mod(const Power_Mod& other)
-   {
-   core = 0;
-   if(other.core)
-      core = other.core->copy();
-   }
-
-/*************************************************
-* Power_Mod Assignment Operator                  *
-*************************************************/
-Power_Mod& Power_Mod::operator=(const Power_Mod& other)
-   {
-   delete core;
-   core = 0;
-   if(other.core)
-      core = other.core->copy();
-   return (*this);
-   }
-
-/*************************************************
-* Power_Mod Destructor                           *
-*************************************************/
-Power_Mod::~Power_Mod()
-   {
-   delete core;
-   }
-
-/*************************************************
-* Set the modulus                                *
-*************************************************/
-void Power_Mod::set_modulus(const BigInt& n, Usage_Hints hints) const
-   {
-   delete core;
-   core = ((n == 0) ? 0 : Engine_Core::mod_exp(n, hints));
-   }
-
-/*************************************************
-* Set the base                                   *
-*************************************************/
-void Power_Mod::set_base(const BigInt& b) const
-   {
-   if(b.is_zero() || b.is_negative())
-      throw Invalid_Argument("Power_Mod::set_base: arg must be > 0");
-
-   if(!core)
-      throw Internal_Error("Power_Mod::set_base: core was NULL");
-   core->set_base(b);
-   }
-
-/*************************************************
-* Set the exponent                               *
-*************************************************/
-void Power_Mod::set_exponent(const BigInt& e) const
-   {
-   if(e.is_negative())
-      throw Invalid_Argument("Power_Mod::set_exponent: arg must be > 0");
-
-   if(!core)
-      throw Internal_Error("Power_Mod::set_exponent: core was NULL");
-   core->set_exponent(e);
-   }
-
-/*************************************************
-* Compute the result                             *
-*************************************************/
-BigInt Power_Mod::execute() const
-   {
-   if(!core)
-      throw Internal_Error("Power_Mod::execute: core was NULL");
-   return core->execute();
-   }
-
-namespace {
-
-/*************************************************
-* Choose potentially useful hints                *
-*************************************************/
-Power_Mod::Usage_Hints choose_base_hints(const BigInt& b, const BigInt& n)
-   {
-   if(b == 2)
-      return Power_Mod::Usage_Hints(Power_Mod::BASE_IS_2 |
-                                    Power_Mod::BASE_IS_SMALL);
-
-   const u32bit b_bits = b.bits();
-   const u32bit n_bits = n.bits();
-
-   if(b_bits < n_bits / 32)
-      return Power_Mod::BASE_IS_SMALL;
-   if(b_bits > n_bits / 4)
-      return Power_Mod::BASE_IS_LARGE;
-
-   return Power_Mod::NO_HINTS;
-   }
-
-/*************************************************
-* Choose potentially useful hints                *
-*************************************************/
-Power_Mod::Usage_Hints choose_exp_hints(const BigInt& e, const BigInt& n)
-   {
-   const u32bit e_bits = e.bits();
-   const u32bit n_bits = n.bits();
-
-   if(e_bits < n_bits / 32)
-      return Power_Mod::BASE_IS_SMALL;
-   if(e_bits > n_bits / 4)
-      return Power_Mod::BASE_IS_LARGE;
-   return Power_Mod::NO_HINTS;
-   }
-
-}
-
-/*************************************************
-* Fixed_Exponent_Power_Mod Constructor           *
-*************************************************/
-Fixed_Exponent_Power_Mod::Fixed_Exponent_Power_Mod(const BigInt& e,
-                                                   const BigInt& n,
-                                                   Usage_Hints hints) :
-   Power_Mod(n, Usage_Hints(hints | EXP_IS_FIXED | choose_exp_hints(e, n)))
-   {
-   set_exponent(e);
-   }
-
-/*************************************************
-* Fixed_Base_Power_Mod Constructor               *
-*************************************************/
-Fixed_Base_Power_Mod::Fixed_Base_Power_Mod(const BigInt& b, const BigInt& n,
-                                           Usage_Hints hints) :
-   Power_Mod(n, Usage_Hints(hints | BASE_IS_FIXED | choose_base_hints(b, n)))
-   {
-   set_base(b);
-   }
-
-}
diff --git a/src/bigint/pow_mod.h b/src/bigint/pow_mod.h
deleted file mode 100644
index 37e0871da..000000000
--- a/src/bigint/pow_mod.h
+++ /dev/null
@@ -1,91 +0,0 @@
-/*************************************************
-* Modular Exponentiator Header File              *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#ifndef BOTAN_POWER_MOD_H__
-#define BOTAN_POWER_MOD_H__
-
-#include <botan/bigint.h>
-
-namespace Botan {
-
-/*************************************************
-* Modular Exponentiator Interface                *
-*************************************************/
-class BOTAN_DLL Modular_Exponentiator
-   {
-   public:
-      virtual void set_base(const BigInt&) = 0;
-      virtual void set_exponent(const BigInt&) = 0;
-      virtual BigInt execute() const = 0;
-      virtual Modular_Exponentiator* copy() const = 0;
-      virtual ~Modular_Exponentiator() {}
-   };
-
-/*************************************************
-* Modular Exponentiator Proxy                    *
-*************************************************/
-class BOTAN_DLL Power_Mod
-   {
-   public:
-      enum Usage_Hints {
-         NO_HINTS        = 0x0000,
-
-         BASE_IS_FIXED   = 0x0001,
-         BASE_IS_SMALL   = 0x0002,
-         BASE_IS_LARGE   = 0x0004,
-         BASE_IS_2       = 0x0008,
-
-         EXP_IS_FIXED    = 0x0100,
-         EXP_IS_SMALL    = 0x0200,
-         EXP_IS_LARGE    = 0x0400
-      };
-
-      void set_modulus(const BigInt&, Usage_Hints = NO_HINTS) const;
-      void set_base(const BigInt&) const;
-      void set_exponent(const BigInt&) const;
-
-      BigInt execute() const;
-
-      Power_Mod& operator=(const Power_Mod&);
-
-      Power_Mod(const BigInt& = 0, Usage_Hints = NO_HINTS);
-      Power_Mod(const Power_Mod&);
-      ~Power_Mod();
-   private:
-      mutable Modular_Exponentiator* core;
-      Usage_Hints hints;
-   };
-
-/*************************************************
-* Fixed Exponent Modular Exponentiator Proxy     *
-*************************************************/
-class BOTAN_DLL Fixed_Exponent_Power_Mod : public Power_Mod
-   {
-   public:
-      BigInt operator()(const BigInt& b) const
-         { set_base(b); return execute(); }
-
-      Fixed_Exponent_Power_Mod() {}
-      Fixed_Exponent_Power_Mod(const BigInt&, const BigInt&,
-                               Usage_Hints = NO_HINTS);
-   };
-
-/*************************************************
-* Fixed Base Modular Exponentiator Proxy         *
-*************************************************/
-class BOTAN_DLL Fixed_Base_Power_Mod : public Power_Mod
-   {
-   public:
-      BigInt operator()(const BigInt& e) const
-         { set_exponent(e); return execute(); }
-
-      Fixed_Base_Power_Mod() {}
-      Fixed_Base_Power_Mod(const BigInt&, const BigInt&,
-                           Usage_Hints = NO_HINTS);
-   };
-
-}
-
-#endif
diff --git a/src/bigint/powm_fw.cpp b/src/bigint/powm_fw.cpp
deleted file mode 100644
index c29b9f311..000000000
--- a/src/bigint/powm_fw.cpp
+++ /dev/null
@@ -1,102 +0,0 @@
-/*************************************************
-* Fixed Window Exponentiation Source File        *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#include <botan/def_powm.h>
-#include <botan/numthry.h>
-#include <vector>
-
-namespace Botan {
-
-namespace {
-
-/*************************************************
-* Try to choose a good window size               *
-*************************************************/
-u32bit choose_window_bits(u32bit exp_bits, u32bit,
-                          Power_Mod::Usage_Hints hints)
-   {
-   static const u32bit wsize[][2] = {
-      { 2048, 7 }, { 1024, 6 }, { 256, 5 }, { 128, 4 }, { 64, 3 }, { 0, 0 }
-   };
-
-   u32bit window_bits = 3;
-
-   if(exp_bits)
-      {
-      for(u32bit j = 0; wsize[j][0]; ++j)
-         {
-         if(exp_bits >= wsize[j][0])
-            {
-            window_bits += wsize[j][1];
-            break;
-            }
-         }
-      }
-
-   if(hints & Power_Mod::EXP_IS_FIXED)
-      window_bits += 2;
-   if(hints & Power_Mod::EXP_IS_LARGE)
-      window_bits += 2;
-   if(hints & Power_Mod::BASE_IS_FIXED)
-      ++window_bits;
-
-   return window_bits;
-   }
-
-}
-
-/*************************************************
-* Set the exponent                               *
-*************************************************/
-void Fixed_Window_Exponentiator::set_exponent(const BigInt& e)
-   {
-   exp = e;
-   }
-
-/*************************************************
-* Set the base                                   *
-*************************************************/
-void Fixed_Window_Exponentiator::set_base(const BigInt& base)
-   {
-   window_bits = choose_window_bits(exp.bits(), base.bits(), hints);
-
-   g.resize((1 << window_bits) - 1);
-   g[0] = base;
-   for(u32bit j = 1; j != g.size(); ++j)
-      g[j] = reducer.multiply(g[j-1], g[0]);
-   }
-
-/*************************************************
-* Compute the result                             *
-*************************************************/
-BigInt Fixed_Window_Exponentiator::execute() const
-   {
-   const u32bit exp_nibbles = (exp.bits() + window_bits - 1) / window_bits;
-
-   BigInt x = 1;
-   for(u32bit j = exp_nibbles; j > 0; --j)
-      {
-      for(u32bit k = 0; k != window_bits; ++k)
-         x = reducer.square(x);
-
-      u32bit nibble = exp.get_substring(window_bits*(j-1), window_bits);
-      if(nibble)
-         x = reducer.multiply(x, g[nibble-1]);
-      }
-   return x;
-   }
-
-/*************************************************
-* Fixed_Window_Exponentiator Constructor         *
-*************************************************/
-Fixed_Window_Exponentiator::Fixed_Window_Exponentiator(const BigInt& n,
-   Power_Mod::Usage_Hints hints)
-   {
-   reducer = Modular_Reducer(n);
-   this->hints = hints;
-   window_bits = 0;
-   }
-
-}
diff --git a/src/bigint/powm_mnt.cpp b/src/bigint/powm_mnt.cpp
deleted file mode 100644
index 6091d467a..000000000
--- a/src/bigint/powm_mnt.cpp
+++ /dev/null
@@ -1,178 +0,0 @@
-/*************************************************
-* Montgomery Exponentiation Source File          *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#include <botan/def_powm.h>
-#include <botan/numthry.h>
-#include <botan/mp_core.h>
-
-namespace Botan {
-
-namespace {
-
-/*************************************************
-* Try to choose a good window size               *
-*************************************************/
-u32bit choose_window_bits(u32bit exp_bits, u32bit,
-                          Power_Mod::Usage_Hints hints)
-   {
-   static const u32bit wsize[][2] = {
-      { 2048, 4 }, { 1024, 3 }, { 256, 2 }, { 128, 1 }, { 0, 0 }
-   };
-
-   u32bit window_bits = 1;
-
-   if(exp_bits)
-      {
-      for(u32bit j = 0; wsize[j][0]; ++j)
-         {
-         if(exp_bits >= wsize[j][0])
-            {
-            window_bits += wsize[j][1];
-            break;
-            }
-         }
-      }
-
-   if(hints & Power_Mod::BASE_IS_FIXED)
-      window_bits += 2;
-   if(hints & Power_Mod::EXP_IS_LARGE)
-      ++window_bits;
-
-   return window_bits;
-   }
-
-/*************************************************
-* Montgomery Reduction                           *
-*************************************************/
-inline void montgomery_reduce(BigInt& out, MemoryRegion<word>& z_buf,
-                              const BigInt& x_bn, u32bit x_size, word u)
-   {
-   const word* x = x_bn.data();
-   word* z = z_buf.begin();
-   u32bit z_size = z_buf.size();
-
-   bigint_monty_redc(z, z_size, x, x_size, u);
-
-   out.get_reg().set(z + x_size, x_size + 1);
-   }
-
-}
-
-/*************************************************
-* Set the exponent                               *
-*************************************************/
-void Montgomery_Exponentiator::set_exponent(const BigInt& exp)
-   {
-   this->exp = exp;
-   exp_bits = exp.bits();
-   }
-
-/*************************************************
-* Set the base                                   *
-*************************************************/
-void Montgomery_Exponentiator::set_base(const BigInt& base)
-   {
-   window_bits = choose_window_bits(exp.bits(), base.bits(), hints);
-
-   g.resize((1 << window_bits) - 1);
-
-   SecureVector<word> z(2 * (mod_words + 1));
-   SecureVector<word> workspace(z.size());
-
-   g[0] = (base >= modulus) ? (base % modulus) : base;
-   bigint_mul(z.begin(), z.size(), workspace,
-              g[0].data(), g[0].size(), g[0].sig_words(),
-              R2.data(), R2.size(), R2.sig_words());
-
-   montgomery_reduce(g[0], z, modulus, mod_words, mod_prime);
-
-   const BigInt& x = g[0];
-   const u32bit x_sig = x.sig_words();
-
-   for(u32bit j = 1; j != g.size(); ++j)
-      {
-      const BigInt& y = g[j-1];
-      const u32bit y_sig = y.sig_words();
-
-      z.clear();
-      bigint_mul(z.begin(), z.size(), workspace,
-                 x.data(), x.size(), x_sig,
-                 y.data(), y.size(), y_sig);
-
-      montgomery_reduce(g[j], z, modulus, mod_words, mod_prime);
-      }
-   }
-
-/*************************************************
-* Compute the result                             *
-*************************************************/
-BigInt Montgomery_Exponentiator::execute() const
-   {
-   const u32bit exp_nibbles = (exp_bits + window_bits - 1) / window_bits;
-
-   BigInt x = R_mod;
-   SecureVector<word> z(2 * (mod_words + 1));
-   SecureVector<word> workspace(2 * (mod_words + 1));
-
-   for(u32bit j = exp_nibbles; j > 0; --j)
-      {
-      for(u32bit k = 0; k != window_bits; ++k)
-         {
-         z.clear();
-         bigint_sqr(z.begin(), z.size(), workspace,
-                    x.data(), x.size(), x.sig_words());
-
-         montgomery_reduce(x, z, modulus, mod_words, mod_prime);
-         }
-
-      u32bit nibble = exp.get_substring(window_bits*(j-1), window_bits);
-      if(nibble)
-         {
-         const BigInt& y = g[nibble-1];
-
-         z.clear();
-         bigint_mul(z.begin(), z.size(), workspace,
-                    x.data(), x.size(), x.sig_words(),
-                    y.data(), y.size(), y.sig_words());
-
-         montgomery_reduce(x, z, modulus, mod_words, mod_prime);
-         }
-      }
-
-   z.clear();
-   z.copy(x.data(), x.size());
-
-   montgomery_reduce(x, z, modulus, mod_words, mod_prime);
-   return x;
-   }
-
-/*************************************************
-* Montgomery_Exponentiator Constructor           *
-*************************************************/
-Montgomery_Exponentiator::Montgomery_Exponentiator(const BigInt& mod,
-   Power_Mod::Usage_Hints hints)
-   {
-   if(!mod.is_positive())
-      throw Exception("Montgomery_Exponentiator: modulus must be positive");
-   if(mod.is_even())
-      throw Exception("Montgomery_Exponentiator: modulus must be odd");
-
-   window_bits = 0;
-   this->hints = hints;
-   modulus = mod;
-
-   mod_words = modulus.sig_words();
-
-   BigInt mod_prime_bn(BigInt::Power2, MP_WORD_BITS);
-   mod_prime = (mod_prime_bn - inverse_mod(modulus, mod_prime_bn)).word_at(0);
-
-   R_mod = BigInt(BigInt::Power2, MP_WORD_BITS * mod_words);
-   R_mod %= modulus;
-
-   R2 = BigInt(BigInt::Power2, 2 * MP_WORD_BITS * mod_words);
-   R2 %= modulus;
-   }
-
-}
diff --git a/src/bigint/primes.cpp b/src/bigint/primes.cpp
deleted file mode 100644
index d005167e5..000000000
--- a/src/bigint/primes.cpp
+++ /dev/null
@@ -1,674 +0,0 @@
-/*************************************************
-* Small Primes Table                             *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#include <botan/numthry.h>
-
-namespace Botan {
-
-const u16bit PRIMES[PRIME_TABLE_SIZE+1] = {
-    3,     5,     7,    11,    13,    17,    19,    23,    29,    31,    37,
-   41,    43,    47,    53,    59,    61,    67,    71,    73,    79,    83,
-   89,    97,   101,   103,   107,   109,   113,   127,   131,   137,   139,
-  149,   151,   157,   163,   167,   173,   179,   181,   191,   193,   197,
-  199,   211,   223,   227,   229,   233,   239,   241,   251,   257,   263,
-  269,   271,   277,   281,   283,   293,   307,   311,   313,   317,   331,
-  337,   347,   349,   353,   359,   367,   373,   379,   383,   389,   397,
-  401,   409,   419,   421,   431,   433,   439,   443,   449,   457,   461,
-  463,   467,   479,   487,   491,   499,   503,   509,   521,   523,   541,
-  547,   557,   563,   569,   571,   577,   587,   593,   599,   601,   607,
-  613,   617,   619,   631,   641,   643,   647,   653,   659,   661,   673,
-  677,   683,   691,   701,   709,   719,   727,   733,   739,   743,   751,
-  757,   761,   769,   773,   787,   797,   809,   811,   821,   823,   827,
-  829,   839,   853,   857,   859,   863,   877,   881,   883,   887,   907,
-  911,   919,   929,   937,   941,   947,   953,   967,   971,   977,   983,
-  991,   997,  1009,  1013,  1019,  1021,  1031,  1033,  1039,  1049,  1051,
- 1061,  1063,  1069,  1087,  1091,  1093,  1097,  1103,  1109,  1117,  1123,
- 1129,  1151,  1153,  1163,  1171,  1181,  1187,  1193,  1201,  1213,  1217,
- 1223,  1229,  1231,  1237,  1249,  1259,  1277,  1279,  1283,  1289,  1291,
- 1297,  1301,  1303,  1307,  1319,  1321,  1327,  1361,  1367,  1373,  1381,
- 1399,  1409,  1423,  1427,  1429,  1433,  1439,  1447,  1451,  1453,  1459,
- 1471,  1481,  1483,  1487,  1489,  1493,  1499,  1511,  1523,  1531,  1543,
- 1549,  1553,  1559,  1567,  1571,  1579,  1583,  1597,  1601,  1607,  1609,
- 1613,  1619,  1621,  1627,  1637,  1657,  1663,  1667,  1669,  1693,  1697,
- 1699,  1709,  1721,  1723,  1733,  1741,  1747,  1753,  1759,  1777,  1783,
- 1787,  1789,  1801,  1811,  1823,  1831,  1847,  1861,  1867,  1871,  1873,
- 1877,  1879,  1889,  1901,  1907,  1913,  1931,  1933,  1949,  1951,  1973,
- 1979,  1987,  1993,  1997,  1999,  2003,  2011,  2017,  2027,  2029,  2039,
- 2053,  2063,  2069,  2081,  2083,  2087,  2089,  2099,  2111,  2113,  2129,
- 2131,  2137,  2141,  2143,  2153,  2161,  2179,  2203,  2207,  2213,  2221,
- 2237,  2239,  2243,  2251,  2267,  2269,  2273,  2281,  2287,  2293,  2297,
- 2309,  2311,  2333,  2339,  2341,  2347,  2351,  2357,  2371,  2377,  2381,
- 2383,  2389,  2393,  2399,  2411,  2417,  2423,  2437,  2441,  2447,  2459,
- 2467,  2473,  2477,  2503,  2521,  2531,  2539,  2543,  2549,  2551,  2557,
- 2579,  2591,  2593,  2609,  2617,  2621,  2633,  2647,  2657,  2659,  2663,
- 2671,  2677,  2683,  2687,  2689,  2693,  2699,  2707,  2711,  2713,  2719,
- 2729,  2731,  2741,  2749,  2753,  2767,  2777,  2789,  2791,  2797,  2801,
- 2803,  2819,  2833,  2837,  2843,  2851,  2857,  2861,  2879,  2887,  2897,
- 2903,  2909,  2917,  2927,  2939,  2953,  2957,  2963,  2969,  2971,  2999,
- 3001,  3011,  3019,  3023,  3037,  3041,  3049,  3061,  3067,  3079,  3083,
- 3089,  3109,  3119,  3121,  3137,  3163,  3167,  3169,  3181,  3187,  3191,
- 3203,  3209,  3217,  3221,  3229,  3251,  3253,  3257,  3259,  3271,  3299,
- 3301,  3307,  3313,  3319,  3323,  3329,  3331,  3343,  3347,  3359,  3361,
- 3371,  3373,  3389,  3391,  3407,  3413,  3433,  3449,  3457,  3461,  3463,
- 3467,  3469,  3491,  3499,  3511,  3517,  3527,  3529,  3533,  3539,  3541,
- 3547,  3557,  3559,  3571,  3581,  3583,  3593,  3607,  3613,  3617,  3623,
- 3631,  3637,  3643,  3659,  3671,  3673,  3677,  3691,  3697,  3701,  3709,
- 3719,  3727,  3733,  3739,  3761,  3767,  3769,  3779,  3793,  3797,  3803,
- 3821,  3823,  3833,  3847,  3851,  3853,  3863,  3877,  3881,  3889,  3907,
- 3911,  3917,  3919,  3923,  3929,  3931,  3943,  3947,  3967,  3989,  4001,
- 4003,  4007,  4013,  4019,  4021,  4027,  4049,  4051,  4057,  4073,  4079,
- 4091,  4093,  4099,  4111,  4127,  4129,  4133,  4139,  4153,  4157,  4159,
- 4177,  4201,  4211,  4217,  4219,  4229,  4231,  4241,  4243,  4253,  4259,
- 4261,  4271,  4273,  4283,  4289,  4297,  4327,  4337,  4339,  4349,  4357,
- 4363,  4373,  4391,  4397,  4409,  4421,  4423,  4441,  4447,  4451,  4457,
- 4463,  4481,  4483,  4493,  4507,  4513,  4517,  4519,  4523,  4547,  4549,
- 4561,  4567,  4583,  4591,  4597,  4603,  4621,  4637,  4639,  4643,  4649,
- 4651,  4657,  4663,  4673,  4679,  4691,  4703,  4721,  4723,  4729,  4733,
- 4751,  4759,  4783,  4787,  4789,  4793,  4799,  4801,  4813,  4817,  4831,
- 4861,  4871,  4877,  4889,  4903,  4909,  4919,  4931,  4933,  4937,  4943,
- 4951,  4957,  4967,  4969,  4973,  4987,  4993,  4999,  5003,  5009,  5011,
- 5021,  5023,  5039,  5051,  5059,  5077,  5081,  5087,  5099,  5101,  5107,
- 5113,  5119,  5147,  5153,  5167,  5171,  5179,  5189,  5197,  5209,  5227,
- 5231,  5233,  5237,  5261,  5273,  5279,  5281,  5297,  5303,  5309,  5323,
- 5333,  5347,  5351,  5381,  5387,  5393,  5399,  5407,  5413,  5417,  5419,
- 5431,  5437,  5441,  5443,  5449,  5471,  5477,  5479,  5483,  5501,  5503,
- 5507,  5519,  5521,  5527,  5531,  5557,  5563,  5569,  5573,  5581,  5591,
- 5623,  5639,  5641,  5647,  5651,  5653,  5657,  5659,  5669,  5683,  5689,
- 5693,  5701,  5711,  5717,  5737,  5741,  5743,  5749,  5779,  5783,  5791,
- 5801,  5807,  5813,  5821,  5827,  5839,  5843,  5849,  5851,  5857,  5861,
- 5867,  5869,  5879,  5881,  5897,  5903,  5923,  5927,  5939,  5953,  5981,
- 5987,  6007,  6011,  6029,  6037,  6043,  6047,  6053,  6067,  6073,  6079,
- 6089,  6091,  6101,  6113,  6121,  6131,  6133,  6143,  6151,  6163,  6173,
- 6197,  6199,  6203,  6211,  6217,  6221,  6229,  6247,  6257,  6263,  6269,
- 6271,  6277,  6287,  6299,  6301,  6311,  6317,  6323,  6329,  6337,  6343,
- 6353,  6359,  6361,  6367,  6373,  6379,  6389,  6397,  6421,  6427,  6449,
- 6451,  6469,  6473,  6481,  6491,  6521,  6529,  6547,  6551,  6553,  6563,
- 6569,  6571,  6577,  6581,  6599,  6607,  6619,  6637,  6653,  6659,  6661,
- 6673,  6679,  6689,  6691,  6701,  6703,  6709,  6719,  6733,  6737,  6761,
- 6763,  6779,  6781,  6791,  6793,  6803,  6823,  6827,  6829,  6833,  6841,
- 6857,  6863,  6869,  6871,  6883,  6899,  6907,  6911,  6917,  6947,  6949,
- 6959,  6961,  6967,  6971,  6977,  6983,  6991,  6997,  7001,  7013,  7019,
- 7027,  7039,  7043,  7057,  7069,  7079,  7103,  7109,  7121,  7127,  7129,
- 7151,  7159,  7177,  7187,  7193,  7207,  7211,  7213,  7219,  7229,  7237,
- 7243,  7247,  7253,  7283,  7297,  7307,  7309,  7321,  7331,  7333,  7349,
- 7351,  7369,  7393,  7411,  7417,  7433,  7451,  7457,  7459,  7477,  7481,
- 7487,  7489,  7499,  7507,  7517,  7523,  7529,  7537,  7541,  7547,  7549,
- 7559,  7561,  7573,  7577,  7583,  7589,  7591,  7603,  7607,  7621,  7639,
- 7643,  7649,  7669,  7673,  7681,  7687,  7691,  7699,  7703,  7717,  7723,
- 7727,  7741,  7753,  7757,  7759,  7789,  7793,  7817,  7823,  7829,  7841,
- 7853,  7867,  7873,  7877,  7879,  7883,  7901,  7907,  7919,  7927,  7933,
- 7937,  7949,  7951,  7963,  7993,  8009,  8011,  8017,  8039,  8053,  8059,
- 8069,  8081,  8087,  8089,  8093,  8101,  8111,  8117,  8123,  8147,  8161,
- 8167,  8171,  8179,  8191,  8209,  8219,  8221,  8231,  8233,  8237,  8243,
- 8263,  8269,  8273,  8287,  8291,  8293,  8297,  8311,  8317,  8329,  8353,
- 8363,  8369,  8377,  8387,  8389,  8419,  8423,  8429,  8431,  8443,  8447,
- 8461,  8467,  8501,  8513,  8521,  8527,  8537,  8539,  8543,  8563,  8573,
- 8581,  8597,  8599,  8609,  8623,  8627,  8629,  8641,  8647,  8663,  8669,
- 8677,  8681,  8689,  8693,  8699,  8707,  8713,  8719,  8731,  8737,  8741,
- 8747,  8753,  8761,  8779,  8783,  8803,  8807,  8819,  8821,  8831,  8837,
- 8839,  8849,  8861,  8863,  8867,  8887,  8893,  8923,  8929,  8933,  8941,
- 8951,  8963,  8969,  8971,  8999,  9001,  9007,  9011,  9013,  9029,  9041,
- 9043,  9049,  9059,  9067,  9091,  9103,  9109,  9127,  9133,  9137,  9151,
- 9157,  9161,  9173,  9181,  9187,  9199,  9203,  9209,  9221,  9227,  9239,
- 9241,  9257,  9277,  9281,  9283,  9293,  9311,  9319,  9323,  9337,  9341,
- 9343,  9349,  9371,  9377,  9391,  9397,  9403,  9413,  9419,  9421,  9431,
- 9433,  9437,  9439,  9461,  9463,  9467,  9473,  9479,  9491,  9497,  9511,
- 9521,  9533,  9539,  9547,  9551,  9587,  9601,  9613,  9619,  9623,  9629,
- 9631,  9643,  9649,  9661,  9677,  9679,  9689,  9697,  9719,  9721,  9733,
- 9739,  9743,  9749,  9767,  9769,  9781,  9787,  9791,  9803,  9811,  9817,
- 9829,  9833,  9839,  9851,  9857,  9859,  9871,  9883,  9887,  9901,  9907,
- 9923,  9929,  9931,  9941,  9949,  9967,  9973, 10007, 10009, 10037, 10039,
-10061, 10067, 10069, 10079, 10091, 10093, 10099, 10103, 10111, 10133, 10139,
-10141, 10151, 10159, 10163, 10169, 10177, 10181, 10193, 10211, 10223, 10243,
-10247, 10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303, 10313, 10321,
-10331, 10333, 10337, 10343, 10357, 10369, 10391, 10399, 10427, 10429, 10433,
-10453, 10457, 10459, 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531,
-10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651,
-10657, 10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739,
-10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, 10861,
-10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, 10957, 10973,
-10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, 11069, 11071, 11083,
-11087, 11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161, 11171, 11173,
-11177, 11197, 11213, 11239, 11243, 11251, 11257, 11261, 11273, 11279, 11287,
-11299, 11311, 11317, 11321, 11329, 11351, 11353, 11369, 11383, 11393, 11399,
-11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, 11489, 11491, 11497,
-11503, 11519, 11527, 11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621,
-11633, 11657, 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743,
-11777, 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833,
-11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, 11939,
-11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, 12037, 12041,
-12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, 12113, 12119, 12143,
-12149, 12157, 12161, 12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251,
-12253, 12263, 12269, 12277, 12281, 12289, 12301, 12323, 12329, 12343, 12347,
-12373, 12377, 12379, 12391, 12401, 12409, 12413, 12421, 12433, 12437, 12451,
-12457, 12473, 12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527, 12539,
-12541, 12547, 12553, 12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619,
-12637, 12641, 12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721,
-12739, 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829,
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-64013, 64019, 64033, 64037, 64063, 64067, 64081, 64091, 64109, 64123, 64151,
-64153, 64157, 64171, 64187, 64189, 64217, 64223, 64231, 64237, 64271, 64279,
-64283, 64301, 64303, 64319, 64327, 64333, 64373, 64381, 64399, 64403, 64433,
-64439, 64451, 64453, 64483, 64489, 64499, 64513, 64553, 64567, 64577, 64579,
-64591, 64601, 64609, 64613, 64621, 64627, 64633, 64661, 64663, 64667, 64679,
-64693, 64709, 64717, 64747, 64763, 64781, 64783, 64793, 64811, 64817, 64849,
-64853, 64871, 64877, 64879, 64891, 64901, 64919, 64921, 64927, 64937, 64951,
-64969, 64997, 65003, 65011, 65027, 65029, 65033, 65053, 65063, 65071, 65089,
-65099, 65101, 65111, 65119, 65123, 65129, 65141, 65147, 65167, 65171, 65173,
-65179, 65183, 65203, 65213, 65239, 65257, 65267, 65269, 65287, 65293, 65309,
-65323, 65327, 65353, 65357, 65371, 65381, 65393, 65407, 65413, 65419, 65423,
-65437, 65447, 65449, 65479, 65497, 65519, 65521, 0 };
-
-const u64bit PRIME_PRODUCTS[PRIME_PRODUCTS_TABLE_SIZE] = {
-0xFF658BDE2F2A43DF, 0xFEEB94CD535119ED, 0xFA921839EC24DDD5, 0xFDDA766C77E1E605,
-0xFF3024B0EB4EE333, 0xFEEE350BBC92F4DF, 0xFFC724B7D011D01B, 0xFEED34B826C33B05,
-0xFE69D8DE3F85C6E3, 0xFE3B48909250918F, 0xFF8EC0CE9C632429, 0xFFD92A5C78226D6B,
-0xFFB4BFB0C65133CF, 0xFE77113704902C57, 0xFF8A21D222EA81FD, 0xFEDA1299661CF5AB,
-0xFF4CE86187737D0D, 0xFFD26443A07F519D, 0xFFA817B7191D7967, 0xFF00EDC142868873,
-0xFFB9C6D7F7A239B7, 0xFFE76D3481E98E39, 0xFF76D5432584120D, 0xFFAA499F071EC705,
-0xFEB5198F05722E59, 0xFF7E0431CA41107F, 0xFFCFD52FEDDC928F, 0xFE0EA42537BC6ABF,
-0xFF64937896876925, 0xFC6FC87E811607D3, 0xFFBF600E6CDD0F4F, 0xFF022700FE658243,
-0xFF2E21166779D6B9, 0xFFC224624C665C33, 0xFF1372F41FF177AD, 0xFF31E57E972D0C13,
-0xFFA891F866404D23, 0xFF7BF13EF716E9A3, 0xFE51CAFD9466E733, 0xFDA1CF55F6D6336F,
-0xFFAF6C040ED0950F, 0xFFAA1725F40BA269, 0xFEC593BC3570BEEB, 0xFEE05B35B426F413,
-0xFFCA5209A08890F9, 0xFFED8AF70EB0CC89, 0xFF3F98E3E27860A5, 0xFF92FECD017FF9F7,
-0xFEFA655B2609018F, 0xFFFC51D15AAC7B77, 0xFEF5007E71420DB1, 0xFFEC4784141332D1,
-0xFE8384ED4E1D21CD, 0xFFD3FF614D3ECC47, 0xFFDE5166FD540313, 0xFF5320ECED04B26F,
-0xFF223980F122FF75, 0xFF19C1F27CB1B4A5, 0xFF0F1DFC9DA9523B, 0xFF82DE7B387F5427,
-0xFF9A026BA87314E3, 0xFFAC7FF3ACE64E77, 0xFF808EB2FD5873C3, 0xFE983ED5BB363301,
-0xFF714856DB2CFE95, 0xFF84E1510CF3EB9F, 0xFF29D04C1DA0B115, 0xFFBCF3BF9433552F,
-0xFF32203D58A4C473, 0xFFF00910A15021C3, 0xFDE93041F28240AD, 0xFFC518BCD81C03C5,
-0xFEF504CD8BB9CBDD, 0xFEB8FFBFFF116A6B, 0xFF7642E0785ADA23, 0xFFECF068800FD50D,
-0xFFD703577CA247A7, 0xFF54C0ECAD2C9691, 0xFFC031706B8C72F5, 0xFFE59E5CA58BBDF5,
-0xFFF31FAFFD3B331D, 0xFF64DDF32349FF6D, 0xFFE38309D0BD4A51, 0xFF8C934F76B3C737,
-0xFFDC80B4BAEAFC1F, 0xFFCC1FE4C856FBD9, 0xFFDB5976DDF601FD, 0xFFD3DD25F424433D,
-0xFFC00FA367E746C7, 0xFFE08BF011CC854F, 0xFFC3F21982468F6D, 0xFFDA6C52478A76DF,
-0xFFC67D95AADED363, 0xFFD605D18C3AFC65, 0xFFE828C9D698F1DF, 0xFFBE5098D83B7737,
-0xFF79EB34474ABFB9, 0xFFD27AEED0786363, 0xFFD0FE27B77C271F, 0xFFFBB6563BD065EF,
-0xFFF3638F8635E1EB, 0xFFBE862C22C9F065, 0xFF44712D8488A01D, 0xFF7EEC97F9913111,
-0xFFC23CC78CB12AB1, 0xFFF390FE85F81D3D, 0xFFE8EA21A0FB9931, 0xFFB9D42D17A93385,
-0xFFCDB63AB21E904D, 0xFF5EB7F2210D33DF, 0xFFE6F6C7BB60C9DF, 0xFFAD4CA8DC26D699,
-0xFF7BE75BD21DCA51, 0xFEF89CE23CB61789, 0xFF40ECA3CCA22CE5, 0xF52BDF080F7ABA6F,
-0xEC8F38C8B28E0493, 0xE68E732A2ABED62F, 0xE21A13779E0CCDC7, 0xD823C075C325191B,
-0xD1B284C91EED248B, 0xCBA5A08068E8C1F7, 0xC483EE5A2228985D, 0xBCAEE9F787AC75EB,
-0xB782DAB1B77D3E09, 0xB0D77226F15E387B, 0xAA2A8727D47941CD, 0xA4A45682E9CE533D,
-0x9CAF15AF4CE7FCF7, 0x94C051DD15537305, 0x9006D2FBD933A297, 0x8C4DED05F19B7399,
-0x884FD7A270AD1B1B, 0x83C687D33F238D4B, 0xFF62E2BAE50C6C16, 0x7A59E1FD9D203DBB,
-0x764F1DC07B0E442D, 0x72732FE1F2023153, 0x6E373B550764872F, 0x680FFFD267C5F3FF,
-0x6206BFEC14F1CFC5, 0x5FA6F70CFD587265, 0x5CC7A1B4F6DF9823, 0x599291B29311407F,
-0xFF3CEBD359B67EF9, 0x51C573C14F289F6D, 0x4FA265B31B73C6DF, 0x4B3154ACBD077DED,
-0x4785C96B29A1E437, 0x451F887F646CF763, 0x429DC254C5490571, 0x408410840EAE2883,
-0x3E12CC83606624F3, 0x3A70D774B821DA71, 0x37A21449A196A825, 0x34C5D056E2278B81,
-0xFA0C6CAB29D8E297, 0x2FA5AEC982A5972B, 0x2D6831749426068F, 0x2B7F876418155CA7,
-0x2A1B897ED2AB433D, 0x28C9430D0F92132F, 0x26DF879EBF12E103, 0xFD2FAB4CA364D43B,
-0x22B5B4FC40D4C35F, 0x209298AA84D7E6A1, 0x1ED4B9F11445F1E7, 0x1DC6D2DD416CC91D,
-0x1C1517A52E37C3EF, 0x1A808916125AEF2F, 0x197A2FB2938FF13D, 0x1814AA6C087B561D,
-0xFB3B173E72947609, 0x1571187A8E3D4D6B, 0x13D306D29263C139, 0xF8AEC6ADA137E865,
-0x123EA204BAB48731, 0x11012099D202F297, 0x10290E15797C21BD, 0x0F3AB38E679D6317,
-0xF50B5505D593FCF9, 0xFF23754F7F2052B5, 0x0CC52D96BC2E5A2D, 0x0BF80EAD87B228E5,
-0x0B59A623082C9171, 0xF44E28B9221A433B, 0x09DB5CDD2505EABD, 0x09638C123BCAB351,
-0xFDB9AE6935254CD3, 0xFFE30D7E4F02F163, 0x07CF1FC053B9C61F, 0x0789244FF1705821,
-0x06FBD05649B0B9C7, 0xEF9713EC6A0C250B, 0xF47691AD6AA9F0DB, 0xF2A8EB02CB08CA51,
-0xF9559D40380A20E1, 0x04E15138A5B9BF43, 0xEECD739EA48F3ABB, 0xF76E7E7530574E79,
-0xF8393D2E42D7D277, 0xF666F9AD3A16D173, 0xF403C629749F3ED5, 0xFBD7EC45F220A473,
-0xFA8AFF7491B234FD, 0xFF471CE534D1F537, 0xF4BEBFDD9C54CEC9, 0xDD04722310A6CE9D,
-0xFD8071236214FA05, 0xFBCA07B399A482DD, 0xFD9642C104864C17, 0xFA525105AADEFA39,
-0xF71122156406E645, 0xFF415FDFD1247539, 0xFB709936F52446AF, 0xFF7734CCB806CDA7,
-0xF801E9A88CD3D70D, 0xFC0C00AC9BCC5491, 0xFF462CD8E52ED221, 0xFC97426300FCE331,
-0xFEB3049C5E37A059, 0xFFFC8AB1E05051CD, 0xFE5F4621F2D9FE63, 0xFE931DB54FC5D521,
-0xFFDE43D960FE42A5, 0xFFDBFAD1B802BDB5, 0xFF23C485F6B7BF53, 0xFFC98F169C8DF21B,
-0xF1609D0E2E564D01, 0xCB10B976C333834B, 0x9B52037A38DAB8F9, 0x800E88FF5E929095,
-0x55A9AD1C21F5E173, 0x3D1A64E4E555D699, 0x2A5D1D73694F7B93, 0x198F4260D8807623,
-0x140D45BB525C35EB, 0x102F4743FF914EEB, 0x0CB114936A734FBF, 0x096D97150B7B0A71,
-0x06F06B90B850C2E5, 0x053B17A0D7F7386B, 0xE3AD1CE3C82FE6A5, 0xDAE968B4B710E857,
-0xFA2DC15B2C96BE77, 0xF1FF5F22AF135BD9, 0xFC65C5CAAA878A13, 0xFB9427EB08CF9C11,
-0xCCB12B6FEBFE285D, 0x5BAADA462B48F999, 0x2E53167EC64B703B, 0x1264ED670CD61961,
-0x071F216A9AB74E2D, 0xEE26503C1266CE55, 0x4C6004C7E404E4B5, 0xCB649E41ECE95F85
-};
-
-}
diff --git a/src/bigint/reducer.cpp b/src/bigint/reducer.cpp
deleted file mode 100644
index 47c5c20fc..000000000
--- a/src/bigint/reducer.cpp
+++ /dev/null
@@ -1,95 +0,0 @@
-/*************************************************
-* Modular Reducer Source File                    *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#include <botan/reducer.h>
-#include <botan/numthry.h>
-#include <botan/mp_core.h>
-
-namespace Botan {
-
-/*************************************************
-* Modular_Reducer Constructor                    *
-*************************************************/
-Modular_Reducer::Modular_Reducer(const BigInt& mod)
-   {
-   if(mod <= 0)
-      throw Invalid_Argument("Modular_Reducer: modulus must be positive");
-
-   modulus = mod;
-   mod_words = modulus.sig_words();
-
-   modulus_2 = Botan::square(modulus);
-   mod2_words = modulus_2.sig_words();
-
-   mu = BigInt(BigInt::Power2, 2 * MP_WORD_BITS * mod_words) / modulus;
-   mu_words = mu.sig_words();
-   }
-
-/*************************************************
-* Barrett Reduction                              *
-*************************************************/
-BigInt Modular_Reducer::reduce(const BigInt& x) const
-   {
-   if(mod_words == 0)
-      throw Invalid_State("Modular_Reducer: Never initalized");
-
-   BigInt t1 = x;
-   t1.set_sign(BigInt::Positive);
-
-   if(t1 < modulus)
-      {
-      if(x.is_negative() && t1.is_nonzero())
-         return modulus - t1;
-      return x;
-      }
-
-   if(t1 >= modulus_2)
-      return (x % modulus);
-
-   t1 >>= (MP_WORD_BITS * (mod_words - 1));
-   t1 *= mu;
-   t1 >>= (MP_WORD_BITS * (mod_words + 1));
-
-   t1 *= modulus;
-   t1.mask_bits(MP_WORD_BITS * (mod_words+1));
-
-   BigInt t2 = x;
-   t2.set_sign(BigInt::Positive);
-   t2.mask_bits(MP_WORD_BITS * (mod_words+1));
-
-   t1 = t2 - t1;
-
-   if(t1.is_negative())
-      {
-      BigInt b_to_k1(BigInt::Power2, MP_WORD_BITS * (mod_words+1));
-      t1 += b_to_k1;
-      }
-
-   while(t1 >= modulus)
-      t1 -= modulus;
-
-   if(x.is_negative() && t1.is_nonzero())
-      t1 = modulus - t1;
-
-   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/bigint/reducer.h b/src/bigint/reducer.h
deleted file mode 100644
index 48008e73b..000000000
--- a/src/bigint/reducer.h
+++ /dev/null
@@ -1,34 +0,0 @@
-/*************************************************
-* Modular Reducer Header File                    *
-* (C) 1999-2007 Jack Lloyd                       *
-*************************************************/
-
-#ifndef BOTAN_MODARITH_H__
-#define BOTAN_MODARITH_H__
-
-#include <botan/bigint.h>
-
-namespace Botan {
-
-/*************************************************
-* Modular Reducer                                *
-*************************************************/
-class BOTAN_DLL Modular_Reducer
-   {
-   public:
-      BigInt multiply(const BigInt&, const BigInt&) const;
-      BigInt square(const BigInt&) const;
-      BigInt reduce(const BigInt&) const;
-
-      bool initialized() const { return (mod_words != 0); }
-
-      Modular_Reducer() { mod_words = 0; }
-      Modular_Reducer(const BigInt&);
-   private:
-      BigInt modulus, modulus_2, mu;
-      u32bit mod_words, mod2_words, mu_words;
-   };
-
-}
-
-#endif
diff --git a/src/bigint/ressol.cpp b/src/bigint/ressol.cpp
deleted file mode 100644
index 0cd2b988a..000000000
--- a/src/bigint/ressol.cpp
+++ /dev/null
@@ -1,82 +0,0 @@
-/*************************************************
-* Shanks-Tonnelli (RESSOL) Source File           *
-* (C) 2007-2008 Falko Strenzke, FlexSecure GmbH  *
-* (C) 2008 Jack Lloyd                            *
-*************************************************/
-
-#include <botan/numthry.h>
-#include <botan/reducer.h>
-
-#include <iostream>
-
-namespace Botan {
-
-/*************************************************
-* Shanks-Tonnelli algorithm                      *
-*************************************************/
-BigInt ressol(const BigInt& a, const BigInt& p)
-   {
-   if(a < 0)
-      throw Invalid_Argument("ressol(): a to solve for must be positive");
-   if(p <= 1)
-      throw Invalid_Argument("ressol(): prime must be > 1");
-
-   if(a == 0)
-      return 0;
-   if(p == 2)
-      return a;
-
-   if(jacobi(a, p) != 1) // not a quadratic residue
-      return -BigInt(1);
-
-   if(p % 4 == 3)
-      return power_mod(a, ((p+1) >> 2), p);
-
-   u32bit s = low_zero_bits(p - 1);
-   BigInt q = p >> s;
-
-   q -= 1;
-   q >>= 1;
-
-   Modular_Reducer mod_p(p);
-
-   BigInt r = power_mod(a, q, p);
-   BigInt n = mod_p.multiply(a, mod_p.square(r));
-   r = mod_p.multiply(r, a);
-
-   if(n == 1)
-      return r;
-
-   // find random non quadratic residue z
-   BigInt z = 2;
-   while(jacobi(z, p) == 1) // while z quadratic residue
-      ++z;
-
-   BigInt c = power_mod(z, (q << 1) + 1, p);
-
-   while(n > 1)
-      {
-      q = n;
-
-      u32bit i = 0;
-      while(q != 1)
-         {
-         q = mod_p.square(q);
-         ++i;
-         }
-      u32bit t = s;
-
-      if(t <= i)
-         return -BigInt(1);
-
-      c = power_mod(c, BigInt(BigInt::Power2, t-i-1), p);
-      r = mod_p.multiply(r, c);
-      c = mod_p.square(c);
-      n = mod_p.multiply(n, c);
-      s = i;
-      }
-
-   return r;
-   }
-
-}
author	lloyd <[email protected]>	2008-09-29 18:12:16 +0000
committer	lloyd <[email protected]>	2008-09-29 18:12:16 +0000
commit	0d8e9744ef02aba33ddd89c93194ce526f6ff6ee (patch)
tree	e60064db23397f9a9dc3b847f9c4199be7c7ca0d /src/bigint
parent	26abd45c61294aacdd59fa4763ff1cd78aefbc7c (diff)