File: fmpz_vec.h

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/*
    Copyright (C) 2010 William Hart
    Copyright (C) 2010 Sebastian Pancratz

    This file is part of FLINT.

    FLINT is free software: you can redistribute it and/or modify it under
    the terms of the GNU Lesser General Public License (LGPL) as published
    by the Free Software Foundation; either version 3 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#ifndef FMPZ_VEC_H
#define FMPZ_VEC_H

#ifdef FMPZ_VEC_INLINES_C
#define FMPZ_VEC_INLINE
#else
#define FMPZ_VEC_INLINE static inline
#endif

#include "fmpz_types.h"

#ifdef __cplusplus
 extern "C" {
#endif

#define FMPZ_VEC_NORM(vec, i) \
  do \
    while ((i) && vec[(i) - 1] == WORD(0)) \
      (i)--; \
  while (0)

#define FMPZ_VEC_SWAP(vec1, len1, vec2, len2) \
  do { \
    FLINT_SWAP(fmpz *, vec1, vec2); \
    FLINT_SWAP(slong, len1, len2); \
  } while (0)

/* makes assignment to vec */
#define FMPZ_VEC_TMP_INIT(vec, len)            \
  do {                                         \
    fmpz * __vres;                             \
    slong __vi;                                \
    vec = __vres = TMP_ARRAY_ALLOC(len, fmpz); \
    for (__vi = (len); __vi > 0; __vi--)       \
      fmpz_init(__vres + __vi - 1);            \
  } while (0)

#define FMPZ_VEC_TMP_CLEAR(vec, len)     \
  do {                                   \
    fmpz * __vres = (vec);               \
    slong __vi;                          \
    for (__vi = (len); __vi > 0; __vi--) \
      fmpz_clear(__vres + __vi - 1);     \
  } while (0)

/*  Memory management  *******************************************************/

FMPZ_VEC_INLINE fmpz * _fmpz_vec_init(slong len)
{
    return (fmpz *) flint_calloc(len, sizeof(fmpz));
}

void _fmpz_vec_clear(fmpz * vec, slong len);

/*  Randomisation  ***********************************************************/

void _fmpz_vec_randtest(fmpz * f, flint_rand_t state, slong len, flint_bitcnt_t bits);
void _fmpz_vec_randtest_unsigned(fmpz * f, flint_rand_t state, slong len, flint_bitcnt_t bits);

/*  Norms  *******************************************************************/

slong _fmpz_vec_max_bits(const fmpz * vec, slong len);
slong _fmpz_vec_max_bits_ref(const fmpz * vec, slong len);

void _fmpz_vec_sum_max_bits(slong * sumabs, slong * maxabs, const fmpz * coeffs, slong length);

slong _fmpz_vec_max_limbs(const fmpz * vec, slong len);

void _fmpz_vec_height(fmpz_t height, const fmpz * vec, slong len);

slong _fmpz_vec_height_index(const fmpz * vec, slong len);

/*  Input and output  ********************************************************/

#ifdef FLINT_HAVE_FILE
int _fmpz_vec_fprint(FILE * file, const fmpz * vec, slong len);

int _fmpz_vec_fread(FILE * file, fmpz ** vec, slong * len);
#endif

int _fmpz_vec_print(const fmpz * vec, slong len);

int _fmpz_vec_read(fmpz ** vec, slong * len);

/*  Conversions  *************************************************************/

void _fmpz_vec_get_nmod_vec(nn_ptr res, const fmpz * poly, slong len, nmod_t mod);
void _fmpz_vec_set_nmod_vec(fmpz * res, nn_srcptr poly, slong len, nmod_t mod);

void _fmpz_vec_get_fft(ulong ** coeffs_f, const fmpz * coeffs_m, slong l, slong length);
void _fmpz_vec_set_fft(fmpz * coeffs_m, slong length, const nn_ptr * coeffs_f, slong limbs, slong sign);

slong _fmpz_vec_get_d_vec_2exp(double * appv, const fmpz * vec, slong len);

/*  Assignment and basic manipulation  ***************************************/

void _fmpz_vec_set(fmpz * vec1, const fmpz * vec2, slong len2);

void _fmpz_vec_swap(fmpz * vec1, fmpz * vec2, slong len2);

void _fmpz_vec_zero(fmpz * vec, slong len);

void _fmpz_vec_scalar_abs(fmpz * vec1, const fmpz * vec2, slong len2);

/*  Comparison  **************************************************************/

int _fmpz_vec_equal(const fmpz * vec1, const fmpz * vec2, slong len);

int _fmpz_vec_is_zero(const fmpz * vec, slong len);

void _fmpz_vec_min(fmpz * vec1, const fmpz * vec2, const fmpz * vec3, slong len);
void _fmpz_vec_max(fmpz * vec1, const fmpz * vec2, const fmpz * vec3, slong len);

void _fmpz_vec_min_inplace(fmpz * vec1, const fmpz * vec2, slong len);
void _fmpz_vec_max_inplace(fmpz * vec1, const fmpz * vec2, slong len);

/* Sorting  ******************************************************************/

void _fmpz_vec_sort(fmpz * vec, slong len);

/*  Addition  ****************************************************************/

void _fmpz_vec_add(fmpz * res, const fmpz * vec1, const fmpz * vec2, slong len2);
void _fmpz_vec_sub(fmpz * res, const fmpz * vec1, const fmpz * vec2, slong len2);

void _fmpz_vec_neg(fmpz * vec1, const fmpz * vec2, slong len2);

/*  Scalar multiplication and division  **************************************/

void _fmpz_vec_scalar_mul_si(fmpz * vec1, const fmpz * vec2, slong len2, slong c);
void _fmpz_vec_scalar_mul_ui(fmpz * vec1, const fmpz * vec2, slong len2, ulong c);
void _fmpz_vec_scalar_mul_fmpz(fmpz * vec1, const fmpz * vec2, slong len2, const fmpz_t x);
void _fmpz_vec_scalar_mul_2exp(fmpz * vec1, const fmpz * vec2, slong len2, ulong exp);

void _fmpz_vec_scalar_divexact_si(fmpz * vec1, const fmpz * vec2, slong len2, slong c);
void _fmpz_vec_scalar_divexact_ui(fmpz * vec1, const fmpz * vec2, slong len2, ulong c);
void _fmpz_vec_scalar_divexact_fmpz(fmpz * vec1, const fmpz * vec2, slong len2, const fmpz_t x);

void _fmpz_vec_scalar_fdiv_q_si(fmpz * vec1, const fmpz * vec2, slong len2, slong c);
void _fmpz_vec_scalar_fdiv_q_ui(fmpz * vec1, const fmpz * vec2, slong len2, ulong c);
void _fmpz_vec_scalar_fdiv_q_fmpz(fmpz * vec1, const fmpz * vec2, slong len2, const fmpz_t c);
void _fmpz_vec_scalar_fdiv_q_2exp(fmpz * vec1, const fmpz * vec2, slong len2, ulong exp);

void _fmpz_vec_scalar_fdiv_r_2exp(fmpz * vec1, const fmpz * vec2, slong len2, ulong exp);

void _fmpz_vec_scalar_tdiv_q_si(fmpz * vec1, const fmpz * vec2, slong len2, slong c);
void _fmpz_vec_scalar_tdiv_q_ui(fmpz * vec1, const fmpz * vec2, slong len2, ulong c);
void _fmpz_vec_scalar_tdiv_q_fmpz(fmpz * vec1, const fmpz * vec2, slong len2, const fmpz_t c);
void _fmpz_vec_scalar_tdiv_q_2exp(fmpz * vec1, const fmpz * vec2, slong len2, ulong exp);

void _fmpz_vec_scalar_addmul_si(fmpz * vec1, const fmpz * vec2, slong len2, slong c);
void _fmpz_vec_scalar_addmul_ui(fmpz * vec1, const fmpz * vec2, slong len2, ulong c);
void _fmpz_vec_scalar_addmul_fmpz(fmpz * poly1, const fmpz * poly2, slong len2, const fmpz_t x);
void _fmpz_vec_scalar_addmul_si_2exp(fmpz * vec1, const fmpz * vec2, slong len2, slong c, ulong exp);

void _fmpz_vec_scalar_submul_si(fmpz * vec1, const fmpz * vec2, slong len2, slong c);
void _fmpz_vec_scalar_submul_fmpz(fmpz * vec1, const fmpz * vec2, slong len2, const fmpz_t x);
void _fmpz_vec_scalar_submul_si_2exp(fmpz * vec1, const fmpz * vec2, slong len2, slong c, ulong exp);

/*  Vector sum and product  **************************************************/

void _fmpz_vec_sum(fmpz_t res, const fmpz * vec, slong len);

void _fmpz_vec_prod(fmpz_t res, const fmpz * vec, slong len);

void _fmpz_ui_vec_prod(fmpz_t res, nn_srcptr vec, slong len);

/*  Reduction mod p **********************************************************/

void _fmpz_vec_scalar_mod_fmpz(fmpz *res, const fmpz *vec, slong len, const fmpz_t p);
void _fmpz_vec_scalar_smod_fmpz(fmpz *res, const fmpz *vec, slong len, const fmpz_t p);

/*  Gaussian content  ********************************************************/

void _fmpz_vec_content(fmpz_t res, const fmpz * vec, slong len);
void _fmpz_vec_content_chained(fmpz_t res, const fmpz * vec, slong len, const fmpz_t inp);

void _fmpz_vec_lcm(fmpz_t res, const fmpz * vec, slong len);

/*  Dot product  *************************************************************/

void _fmpz_vec_dot_general_naive(fmpz_t res, const fmpz_t initial, int subtract,
    const fmpz * a, const fmpz * b, int reverse, slong len);
void _fmpz_vec_dot_general(fmpz_t res, const fmpz_t initial, int subtract,
    const fmpz * a, const fmpz * b, int reverse, slong len);

FMPZ_VEC_INLINE
void _fmpz_vec_dot(fmpz_t res, const fmpz * vec1, const fmpz * vec2, slong len2)
{
    _fmpz_vec_dot_general(res, NULL, 0, vec1, vec2, 0, len2);
}

#ifdef __cplusplus
}
#endif

#endif