/**************************************************************************\
MODULE: vec_zz_pE
SUMMARY:
Provides vectors over zz_pE, along with some related operations.
\**************************************************************************/
#include <NTL/lzz_pE.h>
#include <NTL/vec_ZZ.h>
#include <NTL/vector.h>
typedef Vec<zz_pE> vec_zz_pE; // backward compatibility
void mul(vec_zz_pE& x, const vec_zz_pE& a, const zz_pE& b);
void mul(vec_zz_pE& x, const vec_zz_pE& a, const zz_p& b);
void mul(vec_zz_pE& x, const vec_zz_pE& a, long b);
void mul(vec_zz_pE& x, const zz_pE& a, const vec_zz_pE& b);
void mul(vec_zz_pE& x, const zz_p& a, const vec_zz_pE& b);
void mul(vec_zz_pE& x, long a, const vec_zz_pE& b);
// x = a * b
void add(vec_zz_pE& x, const vec_zz_pE& a, const vec_zz_pE& b);
// x = a + b
void sub(vec_zz_pE& x, const vec_zz_pE& a, const vec_zz_pE& b);
// x = a - b
void clear(vec_zz_pE& x);
// x = 0 (length unchanged)
void negate(vec_zz_pE& x, const vec_zz_pE& a);
// x = -a
long IsZero(const vec_zz_pE& a);
// test if a is the zero vector
void InnerProduct(zz_pE& x, const vec_zz_pE& a, const vec_zz_pE& b);
// x = sum_{i=0}^{n-1} a[i]*b[i], where n = min(a.length(),
// b.length())
void InnerProduct(zz_pE& x, const vec_zz_pE& a, const vec_zz_pE& 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_zz_pE& x, const vec_zz_pE& a, long n);
vec_zz_pE VectorCopy(const vec_zz_pE& 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_zz_pE operator+(const vec_zz_pE& a, const vec_zz_pE& b);
vec_zz_pE operator-(const vec_zz_pE& a, const vec_zz_pE& b);
vec_zz_pE operator-(const vec_zz_pE& a);
// vector/scalar multiplication:
vec_zz_pE operator*(const vec_zz_pE& a, const zz_pE& b);
vec_zz_pE operator*(const vec_zz_pE& a, const zz_p& b);
vec_zz_pE operator*(const vec_zz_pE& a, long b);
vec_zz_pE operator*(const zz_pE& a, const vec_zz_pE& b);
vec_zz_pE operator*(const zz_p& a, const vec_zz_pE& b);
vec_zz_pE operator*(long a, const vec_zz_pE& b);
// inner product:
zz_pE operator*(const vec_zz_pE& a, const vec_zz_pE& b);
// assignment operator notation:
vec_zz_pE& operator+=(vec_zz_pE& x, const vec_zz_pE& a);
vec_zz_pE& operator-=(vec_zz_pE& x, const vec_zz_pE& a);
vec_zz_pE& operator*=(vec_zz_pE& x, const zz_pE& a);
vec_zz_pE& operator*=(vec_zz_pE& x, const zz_p& a);
vec_zz_pE& operator*=(vec_zz_pE& x, long a);