#include <deque>
#include <utility>
#include <algorithm>
-#include <iterator>
+#include <stdint.h>
/* sizeof(E) tiene que ser 2*sizeof(N); y son los tipos nativos con los cuales
* se haran las operaciones mas basicas. */
+template < typename N, typename E >
+struct number;
+
+template < typename N, typename E >
+std::ostream& operator<< (std::ostream& os, const number< N, E >& n);
+
template < typename N = uint32_t, typename E = uint64_t >
struct number
{
const_reverse_iterator rbegin() const { return chunk.rbegin(); }
const_reverse_iterator rend() const { return chunk.rend(); }
+ // Friends
+ template < typename NN, typename EE >
+ friend std::ostream& operator<< (std::ostream& os, const number< NN, EE>& n);
+
private:
// Atributos
chunk_type chunk;
std::ostream& operator<< (std::ostream& os, const number< N, E >& n)
{
// FIXME sacar una salida bonita en ASCII =)
- std::copy(n.begin(), n.end(), std::ostream_iterator< N >(os, " "));
+ for (typename number< N, E >::const_iterator i = n.chunk.begin();
+ i != n.chunk.end(); ++i)
+ os << std::hex << *i << " ";
return os;
}
// es el algoritmo de división y conquista, que se llama recursivamente
template < typename N, typename E >
-number < N, E > divide_n_conquer(number< N, E > u, number< N, E > v)
+number < N, E > karatsuba(number< N, E > u, number< N, E > v)
{
typedef number< N, E > num_type;
// m = u1*v1
// d = u2*v2
// h = (u1+v1)*(u2+v2) = u1*u2+u1*v2+u2*v1+u2*v2
- num_type m = divide_n_conquer(u12.first, v12.first);
- num_type d = divide_n_conquer(u12.second, v12.second);
- num_type h = divide_n_conquer(u12.first + v12.first,
+ num_type m = karastuba(u12.first, v12.first);
+ num_type d = karastuba(u12.second, v12.second);
+ num_type h = karastuba(u12.first + v12.first,
u12.second + v12.second);
// H-D-M = u1*u2+u1*v2+u2*v1+u2*v2 - u2*v2 - u1*v1 = u1*v2+u2*v1