/**************************************************************************\
MODULE: vec_zz_p
SUMMARY:
Provides vectors over zz_p, along with some related operations.
\**************************************************************************/
#include "zz_p.h"
#include "vec_zz.h"
#include <NTL/vector.h>
typedef Vec<zz_p> vec_zz_p; // backward compatibility
void mul(vec_zz_p& x, const vec_zz_p& a, zz_p b);
void mul(vec_zz_p& x, const vec_zz_p& a, long b);
void mul(vec_zz_p& x, zz_p a, const vec_zz_p& b);
void mul(vec_zz_p& x, long a, const vec_zz_p& b);
// x = a * b
void add(vec_zz_p& x, const vec_zz_p& a, const vec_zz_p& b);
// x = a + b
void sub(vec_zz_p& x, const vec_zz_p& a, const vec_zz_p& b);
// x = a - b
void clear(vec_zz_p& x);
// x = 0 (length unchanged)
void negate(vec_zz_p& x, const vec_zz_p& a);
// x = -a
long IsZero(const vec_zz_p& a);
// test if a is the zero vector
void VectorCopy(vec_zz_p& x, const vec_zz_p& a, long n);
vec_zz_p VectorCopy(const vec_zz_p& a, long n);
// x = a copy of a of length exactly n.
// The input is truncated or padded with zeroes, as necessary.
void InnerProduct(zz_p& x, const vec_zz_p& a, const vec_zz_p& b);
// x = sum_{i=0}^{n-1} a[i]*b[i], where n = min(a.length(),
// b.length())
void InnerProduct(zz_p& x, const vec_zz_p& a, const vec_zz_p& b,
long offset);
// x = sum_{i=offset}^{n-1} a[i]*b[i-offset], where n = min(a.length(),
// b.length()+offset)
long CRT(vec_ZZ& a, ZZ& prod, const vec_zz_p& A);
// Incremental Chinese Remaindering: If p is the current zz_p modulus with
// (p, prod) = 1; Computes a' such that a' = a mod prod and a' = A mod p,
// with coefficients in the interval (-p*prod/2, p*prod/2];
// Sets a := a', prod := p*prod, and returns 1 if a's value changed.
// operator notation:
vec_zz_p operator+(const vec_zz_p& a, const vec_zz_p& b);
vec_zz_p operator-(const vec_zz_p& a, const vec_zz_p& b);
vec_zz_p operator-(const vec_zz_p& a);
// vector/scalar multiplication:
vec_zz_p operator*(const vec_zz_p& a, zz_p b);
vec_zz_p operator*(const vec_zz_p& a, long b);
vec_zz_p operator*(zz_p a, const vec_zz_p& b);
vec_zz_p operator*(long a, const vec_zz_p& b);
// inner product:
zz_p operator*(const vec_zz_p& a, const vec_zz_p& b);
// assignment operator notation:
vec_zz_p& operator+=(vec_zz_p& x, const vec_zz_p& a);
vec_zz_p& operator-=(vec_zz_p& x, const vec_zz_p& a);
vec_zz_p& operator*=(vec_zz_p& x, zz_p a);
vec_zz_p& operator*=(vec_zz_p& x, long a);