/**************************************************************************\ MODULE: vec_RR SUMMARY: Defines the class vec_RR. \**************************************************************************/ NTL_vector_decl(RR,vec_RR) NTL_eq_vector_decl(RR,vec_RR) // == and != NTL_io_vector_decl(RR,vec_RR) // I/O operators void mul(vec_RR& x, const vec_RR& a, const RR& b); void mul(vec_RR& x, const vec_RR& a, double b); void mul(vec_RR& x, const RR& a, const vec_RR& b); void mul(vec_RR& x, double a, const vec_RR& b); // x = a * b void add(vec_RR& x, const vec_RR& a, const vec_RR& b); // x = a + b void sub(vec_RR& x, const vec_RR& a, const vec_RR& b); // x = a - b void clear(vec_RR& x); // x = 0 (length unchanged) void negate(vec_RR& x, const vec_RR& a); // x = -a long IsZero(const vec_RR& a); // test if a is the zero vector void InnerProduct(RR& x, const vec_RR& a, const vec_RR& b); // x = inner product of a and b, padded with zeros to make the lengths // even. void VectorCopy(vec_RR& x, const vec_RR& a, long n); vec_RR VectorCopy(const vec_RR& 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_RR operator+(const vec_RR& a, const vec_RR& b); vec_RR operator-(const vec_RR& a, const vec_RR& b); vec_RR operator-(const vec_RR& a); // vector/scalar multiplication: vec_RR operator*(const vec_RR& a, const RR& b); vec_RR operator*(const vec_RR& a, double b); vec_RR operator*(const RR& a, const vec_RR& b); vec_RR operator*(double a, const vec_RR& b); // inner product: RR operator*(const vec_RR& a, const vec_RR& b); // assignment operator notation: vec_RR& operator+=(vec_RR& x, const vec_RR& a); vec_RR& operator-=(vec_RR& x, const vec_RR& a); vec_RR& operator*=(vec_RR& x, const RR& a); vec_RR& operator*=(vec_RR& x, double a);