/**************************************************************************\

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>

NTL_vector_decl(zz_pE,vec_zz_pE)

NTL_io_vector_decl(zz_pE,vec_zz_pE)
// I/O operators are defined

NTL_eq_vector_decl(zz_pE,vec_zz_pE)
// operators == and != are defined

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);