/**************************************************************************\ MODULE: vec_zz_pE SUMMARY: Provides vectors over zz_pE, along with some related operations. \**************************************************************************/ #include #include #include 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);