pqc/external/flint-2.4.3/qadic/fprint_pretty.c

/*=============================================================================

    This file is part of FLINT.

    FLINT is free software; you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation; either version 2 of the License, or
    (at your option) any later version.

    FLINT is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with FLINT; if not, write to the Free Software
    Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301 USA

=============================================================================*/
/******************************************************************************

    Copyright (C) 2011, 2012 Sebastian Pancratz
 
******************************************************************************/

#include <limits.h>

#include "qadic.h"
#include "padic.h"

int _qadic_fprint_pretty(FILE * file, const fmpz *u, slong len, slong v, 
    const qadic_ctx_t ctx)
{
    const fmpz *p = (&ctx->pctx)->p;

    if (_fmpz_vec_is_zero(u, len))
    {
        fputc('0', file);
        return 1;
    }

    if ((&ctx->pctx)->mode == PADIC_TERSE)
    {
        if (v == 0)
        {
            _fmpz_poly_fprint_pretty(file, u, len, ctx->var);
        }
        else if (v > 0)
        {
            fmpz *t = _fmpz_vec_init(len + 1);

            fmpz_pow_ui(t + len, p, v);
            _fmpz_vec_scalar_mul_fmpz(t, u, len, t + len);
            _fmpz_poly_fprint_pretty(file, t, len, ctx->var);
            _fmpz_vec_clear(t, len + 1);
        }
        else  /* v < 0 */
        {
            fmpz_t t;

            fmpz_init(t);
            fmpz_pow_ui(t, p, -v);
            _fmpq_poly_fprint_pretty(file, u, t, len, ctx->var);
            fmpz_clear(t);
        }
    }
    else if ((&ctx->pctx)->mode == PADIC_SERIES)
    {
        fmpz *x, *d;
        slong i, j;

        for (i = 0; i < len; i++)
            if (fmpz_sgn(u + i) < 0)
                break;

        if (i < len)
        {
            flint_printf("ERROR (qadic_fprint_pretty).  u < 0 in SERIES mode.\n");
            abort();
        }

        x = _fmpz_vec_init(len);
        d = _fmpz_vec_init(len);

        _fmpz_vec_set(x, u, len);

        /* Unroll first step */
        j = 0;
        {
            _fmpz_vec_scalar_mod_fmpz(d, x, len, p);       /* d = u mod p^{j+1} */
            _fmpz_vec_sub(x, x, d, len);                        /* x = x - d */
            _fmpz_vec_scalar_divexact_fmpz(x, x, len, p);  /* x = x / p */

            if (!_fmpz_vec_is_zero(d, len))
            {
                fputc('(', file);
                _fmpz_poly_fprint_pretty(file, d, len, ctx->var);
                fputc(')', file);
                if (j + v != 0)
                {
                    fputc('*', file);
                    fmpz_fprint(file, p);
                    if (j + v != 1)
                        flint_fprintf(file, "^%wd", j + v);
                }
            }

            j++;
        }

        for ( ; !_fmpz_vec_is_zero(x, len); j++)
        {
            _fmpz_vec_scalar_mod_fmpz(d, x, len, p);       /* d = u mod p^{j+1} */
            _fmpz_vec_sub(x, x, d, len);                        /* x = x - d */
            _fmpz_vec_scalar_divexact_fmpz(x, x, len, p);  /* x = x / p */

            if (!_fmpz_vec_is_zero(d, len))
            {
                flint_fprintf(file, " + ");
                fputc('(', file);
                _fmpz_poly_fprint_pretty(file, d, len, ctx->var);
                fputc(')', file);
                if (j + v != 0)
                {
                    fputc('*', file);
                    fmpz_fprint(file, p);
                    if (j + v != 1)
                        flint_fprintf(file, "^%wd", j + v);
                }
            }
        }
        _fmpz_vec_clear(x, len);
        _fmpz_vec_clear(d, len);
    }
    else if ((&ctx->pctx)->mode == PADIC_VAL_UNIT)
    {
        if (v == 0)
        {
            _fmpz_poly_fprint_pretty(file, u, len, ctx->var);
        }
        else if (v == 1)
        {
            fputc('(', file);
            _fmpz_poly_fprint_pretty(file, u, len, ctx->var);
            fputc(')', file);
            fputc('*', file);
            fmpz_fprint(file, p);
        }
        else 
        {
            fputc('(', file);
            _fmpz_poly_fprint_pretty(file, u, len, ctx->var);
            fputc(')', file);
            fputc('*', file);
            fmpz_fprint(file, p);
            flint_fprintf(file, "^%wd", v);
        }
    }
    else
    {
        flint_printf("Exception (qadic_fprint_pretty).  Unknown print mode.\n");
        abort();
    }

    return 1;
}

int qadic_fprint_pretty(FILE *file, const qadic_t op, const qadic_ctx_t ctx)
{
    return _qadic_fprint_pretty(file, op->coeffs, op->length, op->val, ctx);
}