/**************************************************************************\MODULE: vec_ZZ_pESUMMARY:Provides vectors over ZZ_pE, along with some related operations.\**************************************************************************/#include <NTL/ZZ_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 definedNTL_eq_vector_decl(ZZ_pE,vec_ZZ_pE)// operators == and != are definedvoid 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 * bvoid add(vec_ZZ_pE& x, const vec_ZZ_pE& a, const vec_ZZ_pE& b);// x = a + bvoid sub(vec_ZZ_pE& x, const vec_ZZ_pE& a, const vec_ZZ_pE& b);// x = a - bvoid clear(vec_ZZ_pE& x);// x = 0 (length unchanged)void negate(vec_ZZ_pE& x, const vec_ZZ_pE& a);// x = -along IsZero(const vec_ZZ_pE& a);// test if a is the zero vectorvoid 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 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);