?? mat_zz_p.h
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#ifndef NTL_mat_ZZ_p__H#define NTL_mat_ZZ_p__H#include <NTL/tools.h>#include <NTL/matrix.h>#include <NTL/vec_vec_ZZ_p.h>NTL_OPEN_NNSNTL_matrix_decl(ZZ_p,vec_ZZ_p,vec_vec_ZZ_p,mat_ZZ_p)NTL_io_matrix_decl(ZZ_p,vec_ZZ_p,vec_vec_ZZ_p,mat_ZZ_p)NTL_eq_matrix_decl(ZZ_p,vec_ZZ_p,vec_vec_ZZ_p,mat_ZZ_p)void add(mat_ZZ_p& X, const mat_ZZ_p& A, const mat_ZZ_p& B); void sub(mat_ZZ_p& X, const mat_ZZ_p& A, const mat_ZZ_p& B); void negate(mat_ZZ_p& X, const mat_ZZ_p& A); void mul(mat_ZZ_p& X, const mat_ZZ_p& A, const mat_ZZ_p& B); void mul(vec_ZZ_p& x, const mat_ZZ_p& A, const vec_ZZ_p& b); void mul(vec_ZZ_p& x, const vec_ZZ_p& a, const mat_ZZ_p& B); void mul(mat_ZZ_p& X, const mat_ZZ_p& A, const ZZ_p& b);void mul(mat_ZZ_p& X, const mat_ZZ_p& A, long b);inline void mul(mat_ZZ_p& X, const ZZ_p& a, const mat_ZZ_p& B) { mul(X, B, a); }inline void mul(mat_ZZ_p& X, long a, const mat_ZZ_p& B) { mul(X, B, a); }void ident(mat_ZZ_p& X, long n); inline mat_ZZ_p ident_mat_ZZ_p(long n) { mat_ZZ_p X; ident(X, n); NTL_OPT_RETURN(mat_ZZ_p, X); }void determinant(ZZ_p& d, const mat_ZZ_p& A);long IsIdent(const mat_ZZ_p& A, long n);void transpose(mat_ZZ_p& X, const mat_ZZ_p& A);void solve(ZZ_p& d, vec_ZZ_p& X, const mat_ZZ_p& A, const vec_ZZ_p& b);void inv(ZZ_p& d, mat_ZZ_p& X, const mat_ZZ_p& A);inline void sqr(mat_ZZ_p& X, const mat_ZZ_p& A) { mul(X, A, A); }inline mat_ZZ_p sqr(const mat_ZZ_p& A) { mat_ZZ_p X; sqr(X, A); NTL_OPT_RETURN(mat_ZZ_p, X); }void inv(mat_ZZ_p& X, const mat_ZZ_p& A);inline mat_ZZ_p inv(const mat_ZZ_p& A) { mat_ZZ_p X; inv(X, A); NTL_OPT_RETURN(mat_ZZ_p, X); }void power(mat_ZZ_p& X, const mat_ZZ_p& A, const ZZ& e);inline mat_ZZ_p power(const mat_ZZ_p& A, const ZZ& e) { mat_ZZ_p X; power(X, A, e); NTL_OPT_RETURN(mat_ZZ_p, X); }inline void power(mat_ZZ_p& X, const mat_ZZ_p& A, long e) { power(X, A, ZZ_expo(e)); }inline mat_ZZ_p power(const mat_ZZ_p& A, long e) { mat_ZZ_p X; power(X, A, e); NTL_OPT_RETURN(mat_ZZ_p, X); }void diag(mat_ZZ_p& X, long n, const ZZ_p& d);inline mat_ZZ_p diag(long n, const ZZ_p& d) { mat_ZZ_p X; diag(X, n, d); NTL_OPT_RETURN(mat_ZZ_p, X); }long IsDiag(const mat_ZZ_p& A, long n, const ZZ_p& d);long gauss(mat_ZZ_p& M);long gauss(mat_ZZ_p& M, long w);void image(mat_ZZ_p& X, const mat_ZZ_p& A);void kernel(mat_ZZ_p& X, const mat_ZZ_p& A);inline ZZ_p determinant(const mat_ZZ_p& a) { ZZ_p x; determinant(x, a); return x; }// functional variant of determinantinline mat_ZZ_p transpose(const mat_ZZ_p & a) { mat_ZZ_p x; transpose(x, a); NTL_OPT_RETURN(mat_ZZ_p, x); }void clear(mat_ZZ_p& a);// x = 0 (dimension unchanged)long IsZero(const mat_ZZ_p& a);// test if a is the zero matrix (any dimension)// operator notation:mat_ZZ_p operator+(const mat_ZZ_p& a, const mat_ZZ_p& b);mat_ZZ_p operator-(const mat_ZZ_p& a, const mat_ZZ_p& b);mat_ZZ_p operator*(const mat_ZZ_p& a, const mat_ZZ_p& b);mat_ZZ_p operator-(const mat_ZZ_p& a);// matrix/scalar multiplication:inline mat_ZZ_p operator*(const mat_ZZ_p& a, const ZZ_p& b) { mat_ZZ_p x; mul(x, a, b); NTL_OPT_RETURN(mat_ZZ_p, x); }inline mat_ZZ_p operator*(const mat_ZZ_p& a, long b) { mat_ZZ_p x; mul(x, a, b); NTL_OPT_RETURN(mat_ZZ_p, x); }inline mat_ZZ_p operator*(const ZZ_p& a, const mat_ZZ_p& b) { mat_ZZ_p x; mul(x, a, b); NTL_OPT_RETURN(mat_ZZ_p, x); }inline mat_ZZ_p operator*(long a, const mat_ZZ_p& b) { mat_ZZ_p x; mul(x, a, b); NTL_OPT_RETURN(mat_ZZ_p, x); }// matrix/vector multiplication:vec_ZZ_p operator*(const mat_ZZ_p& a, const vec_ZZ_p& b);vec_ZZ_p operator*(const vec_ZZ_p& a, const mat_ZZ_p& b);// assignment operator notation:inline mat_ZZ_p& operator+=(mat_ZZ_p& x, const mat_ZZ_p& a){ add(x, x, a); return x;} inline mat_ZZ_p& operator-=(mat_ZZ_p& x, const mat_ZZ_p& a){ sub(x, x, a); return x;} inline mat_ZZ_p& operator*=(mat_ZZ_p& x, const mat_ZZ_p& a){ mul(x, x, a); return x;} inline mat_ZZ_p& operator*=(mat_ZZ_p& x, const ZZ_p& a){ mul(x, x, a); return x;} inline mat_ZZ_p& operator*=(mat_ZZ_p& x, long a){ mul(x, x, a); return x;} inline vec_ZZ_p& operator*=(vec_ZZ_p& x, const mat_ZZ_p& a){ mul(x, x, a); return x;} NTL_CLOSE_NNS#endif
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