flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2010 Fredrik Johansson
    Copyright (C) 2014 Ashish Kedia
    Copyright (C) 2023 Albin Ahlbäck
    Copyright (C) 2024 Vincent Neiger

    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/>.
*/

#include "flint-mparam.h"
#include "ulong_extras.h"
#include "nmod_mat.h"
#include "nmod.h"
#include "fmpz.h"

/*******************/
/*  scalar_addmul  */
/*******************/

void
_nmod_mat_scalar_addmul_ui_generic(nmod_mat_t C, const nmod_mat_t A,
                                          const nmod_mat_t B, const ulong c)
{
    for (slong i = 0; i < A->r; i++)
    {
        for (slong j = 0; j < A->c; j++)
        {
            nmod_mat_entry(C, i, j) =
                n_addmod(nmod_mat_entry(A, i, j),
                         nmod_mul(nmod_mat_entry(B, i, j), c, B->mod),
                         A->mod.n);
        }
    }
}

void
_nmod_mat_scalar_addmul_ui_precomp(nmod_mat_t C, const nmod_mat_t A, const nmod_mat_t B,
                                    const ulong c, const ulong c_pr)
{
    for (slong i = 0; i < A->r; i++)
    {
        for (slong j = 0; j < A->c; j++)
        {
            nmod_mat_entry(C, i, j) =
                n_addmod(nmod_mat_entry(A, i, j),
                         n_mulmod_shoup(c, nmod_mat_entry(B, i, j),
                                          c_pr, B->mod.n),
                         A->mod.n);
        }
    }
}

void
nmod_mat_scalar_addmul_ui(nmod_mat_t C, const nmod_mat_t A, const nmod_mat_t B,
                          ulong c)
{
    c = nmod_set_ui(c, C->mod);

    if (c == UWORD(0))
        nmod_mat_set(C, A);
    else if (c == UWORD(1))
        nmod_mat_add(C, A, B);
    else if (c == A->mod.n - UWORD(1))
        nmod_mat_sub(C, A, B);
    else if (A->r * A->c >= FLINT_MULMOD_SHOUP_THRESHOLD && A->mod.norm > 0)
    {
        const ulong c_pr = n_mulmod_precomp_shoup(c, A->mod.n);
        _nmod_mat_scalar_addmul_ui_precomp(C, A, B, c, c_pr);
    }
    else
        _nmod_mat_scalar_addmul_ui_generic(C, A, B, c);
}

/****************/
/*  scalar_mul  */
/****************/

void
_nmod_mat_scalar_mul_generic(nmod_mat_t B, const nmod_mat_t A, ulong c)
{
    for (slong i = 0; i < A->r; i++)
        for (slong j = 0; j < A->c; j++)
            nmod_mat_entry(B, i, j) = nmod_mul(nmod_mat_entry(A, i, j), c, A->mod);
}

void
_nmod_mat_scalar_mul_precomp(nmod_mat_t B, const nmod_mat_t A, ulong c, ulong c_pr)
{
    for (slong i = 0; i < A->r; i++)
        for (slong j = 0; j < A->c; j++)
            nmod_mat_entry(B, i, j) = n_mulmod_shoup(
                c, nmod_mat_entry(A, i, j), c_pr, A->mod.n);
}

void
nmod_mat_scalar_mul(nmod_mat_t B, const nmod_mat_t A, ulong c)
{
    if (c == UWORD(0))
        nmod_mat_zero(B);
    else if (c == UWORD(1))
        nmod_mat_set(B, A);
    else if (c == A->mod.n - UWORD(1))
        nmod_mat_neg(B, A);
    else if (A->r * A->c >= FLINT_MULMOD_SHOUP_THRESHOLD && A->mod.norm > 0)
    {
        const ulong c_pr = n_mulmod_precomp_shoup(c, A->mod.n);
        _nmod_mat_scalar_mul_precomp(B, A, c, c_pr);
    }
    else
        _nmod_mat_scalar_mul_generic(B, A, c);
}


void
nmod_mat_scalar_mul_fmpz(nmod_mat_t B, const nmod_mat_t A, const fmpz_t c)
{
    nmod_mat_scalar_mul(B, A, fmpz_get_nmod(c, B->mod));
}