/Volumes/unix-files/u/ntl-new/ntl-9.11.0dev/doc/vec_ZZ_pE.cpp.html

/**************************************************************************\
MODULE: vec_ZZ_pE
SUMMARY:
Provides vectors over ZZ_pE, along with some related operations.
\**************************************************************************/
#include <NTL/ZZ_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);