flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2011 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/>.
*/

#include "fmpz.h"
#include "fmpz_mat.h"
#include "padic.h"
#include "padic_mat.h"

void padic_mat_scalar_div_fmpz(padic_mat_t B,
                               const padic_mat_t A, const fmpz_t c,
                               const padic_ctx_t ctx)
{
    if (padic_mat_is_empty(B))
    {
        return;
    }

    if (fmpz_is_zero(c))
    {
        flint_throw(FLINT_ERROR, "ERROR (padic_mat_scalar_div_fmpz).  c is zero.\n");
    }

    if (padic_mat_is_zero(A))
    {
        padic_mat_zero(B);
    }
    else
    {
        fmpz_t d;
        slong v;

        fmpz_init(d);
        v = fmpz_remove(d, c, ctx->p);

        if (padic_mat_val(A) - v >= padic_mat_prec(B))
        {
            padic_mat_zero(B);
        }
        else
        {
            _padic_inv(d, d, ctx->p, padic_mat_prec(B) - padic_mat_val(A) + v);

            fmpz_mat_scalar_mul_fmpz(padic_mat(B), padic_mat(A), d);
            padic_mat_val(B) = padic_mat_val(A) - v;

            _padic_mat_reduce(B, ctx);
        }

        fmpz_clear(d);
    }
}

void _padic_mat_scalar_mul_fmpz(padic_mat_t B,
                                const padic_mat_t A, const fmpz_t c,
                                const padic_ctx_t ctx)
{
    if (padic_mat_is_empty(B))
    {
        return;
    }

    if (fmpz_is_zero(c) || padic_mat_is_zero(A))
    {
        padic_mat_zero(B);
    }
    else
    {
        fmpz_t d;
        slong v;

        fmpz_init(d);
        v = fmpz_remove(d, c, ctx->p);

        fmpz_mat_scalar_mul_fmpz(padic_mat(B), padic_mat(A), d);
        padic_mat_val(B) = padic_mat_val(A) + v;

        fmpz_clear(d);
    }
}

void padic_mat_scalar_mul_fmpz(padic_mat_t B,
                               const padic_mat_t A, const fmpz_t c,
                               const padic_ctx_t ctx)
{
    _padic_mat_scalar_mul_fmpz(B, A, c, ctx);
    _padic_mat_reduce(B, ctx);
}

void _padic_mat_scalar_mul_padic(padic_mat_t B,
                                 const padic_mat_t A, const padic_t c,
                                 const padic_ctx_t FLINT_UNUSED(ctx))
{
    if (padic_mat_is_empty(B))
    {
        return;
    }

    if (padic_is_zero(c) || padic_mat_is_zero(A))
    {
        padic_mat_zero(B);
        return;
    }

    fmpz_mat_scalar_mul_fmpz(padic_mat(B), padic_mat(A), padic_unit(c));
    padic_mat_val(B) = padic_mat_val(A) + padic_val(c);
}

void padic_mat_scalar_mul_padic(padic_mat_t B,
                                const padic_mat_t A, const padic_t c,
                                const padic_ctx_t ctx)
{
    _padic_mat_scalar_mul_padic(B, A, c, ctx);
    _padic_mat_reduce(B, ctx);
}