/**************************************************************************\
MODULE: vec_GF2E
SUMMARY:
Provides vectors over GF2E, along with some related operations.
\**************************************************************************/
#include <NTL/GF2E.h>
#include <NTL/vector.h>
typedef Vec<GF2E> vec_GF2E; // backward compatibility
void mul(vec_GF2E& x, const vec_GF2E& a, const GF2E& b);
void mul(vec_GF2E& x, const vec_GF2E& a, GF2 b);
void mul(vec_GF2E& x, const vec_GF2E& a, long b);
void mul(vec_GF2E& x, const GF2E& a, const vec_GF2E& b);
void mul(vec_GF2E& x, GF2 a, const vec_GF2E& b);
void mul(vec_GF2E& x, long a, const vec_GF2E& b);
// x = a * b
void add(vec_GF2E& x, const vec_GF2E& a, const vec_GF2E& b);
// x = a + b
void sub(vec_GF2E& x, const vec_GF2E& a, const vec_GF2E& b);
// x = a - b = x + a
void negate(vec_GF2E& x, const vec_GF2E& a);
// x = - a = a
void clear(vec_GF2E& x);
// x = 0 (length unchanged)
long IsZero(const vec_GF2E& a);
// test if a is the zero vector
void InnerProduct(GF2E& x, const vec_GF2E& a, const vec_GF2E& b);
// x = sum_{i=0}^{n-1} a[i]*b[i], where n = min(a.length(), b.length())
void InnerProduct(GF2E& x, const vec_GF2E& a, const vec_GF2E& b,
long offset);
// x = sum_{i=offset}^{n-1} a[i]*b[i-offset], where n = min(a.length(),
// b.length()+offset)
void VectorCopy(vec_GF2E& x, const vec_GF2E& a, long n);
vec_GF2E VectorCopy(const vec_GF2E& a, long n);
// x = a copy of a of length exactly n.
// The input is truncated or padded with zeroes, as necessary.
// operator notation:
vec_GF2E
operator+(const vec_GF2E& a, const vec_GF2E& b);
vec_GF2E
operator-(const vec_GF2E& a, const vec_GF2E& b);
vec_GF2E operator-(const vec_GF2E& a);
// vector/scalar multiplication:
vec_GF2E operator*(const vec_GF2E& a, const GF2E& b);
vec_GF2E operator*(const vec_GF2E& a, GF2 b);
vec_GF2E operator*(const vec_GF2E& a, long b);
vec_GF2E operator*(const GF2E& a, const vec_GF2E& b);
vec_GF2E operator*(GF2 a, const vec_GF2E& b);
vec_GF2E operator*(long a, const vec_GF2E& b);
// inner product:
GF2E operator*(const vec_GF2E& a, const vec_GF2E& b);
// assignment operator notation:
vec_GF2E& operator+=(vec_GF2E& x, const vec_GF2E& a);
vec_GF2E& operator-=(vec_GF2E& x, const vec_GF2E& a);
vec_GF2E& operator*=(vec_GF2E& x, const GF2E& a);
vec_GF2E& operator*=(vec_GF2E& x, GF2 a);
vec_GF2E& operator*=(vec_GF2E& x, long a);
// Implementation note: the BlockConstruct routine has been customized
// for GF2E so that when a vec_GF2E is grown, space for the needed
// elements is allocated in one contiguous chunk. This saves on calls to
// malloc and free, and should also yield better locality of reference.
// One consequence of this is that swapping an element of a vec_GF2E
// with another GF2E can not be implemented by pointer swap, and will in
// this case be done by copy.