flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2007 David Howden
    Copyright (C) 2010 William Hart

    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 <string.h>
#include <math.h>
#include "nmod_poly.h"
#include "longlong.h"

char * nmod_poly_get_str(const nmod_poly_t poly)
{
    slong i;
    char * buf, * ptr;

    /* estimate for the length, n and three spaces */
#if FLINT64
    slong size = 21*2 + 1;
#else
    slong size = 11*2 + 1;
#endif

    for (i = 0; i < poly->length; i++)
    {
        if (poly->coeffs[i]) /* log(2)/log(10) < 0.30103, +1 for space/null */
            size += (ulong) ceil(0.30103*FLINT_BIT_COUNT(poly->coeffs[i])) + 1;
        else size += 2;
    }

    buf = (char *) flint_malloc(size);
    ptr = buf + flint_sprintf(buf, "%wd %wu", poly->length, poly->mod.n);

    if (poly->length)
        ptr += flint_sprintf(ptr, " ");

    for (i = 0; i < poly->length; i++)
        ptr += flint_sprintf(ptr, " %wu", poly->coeffs[i]);

    return buf;
}

char * nmod_poly_get_str_pretty(const nmod_poly_t poly, const char * x)
{
    slong i;
    char * buf, * ptr;

    slong size = 0;

    if (poly->length == 0)
    {
        buf = (char *) flint_malloc(2);
        buf[0] = '0';
        buf[1] = '\0';
        return buf;
    }
    else if (poly->length == 1)
    {
        size = (ulong) ceil(0.30103*FLINT_BIT_COUNT(poly->coeffs[0])) + 1;
        buf = (char *) flint_malloc(size);
        flint_sprintf(buf, "%wu", poly->coeffs[0]);
        return buf;
    }

    for (i = 0; i < poly->length; i++)
    {
        if (poly->coeffs[i]) /* log(2)/log(10) < 0.30103, +3 for +*^ or null*/
            size += (ulong) ceil(0.30103*FLINT_BIT_COUNT(poly->coeffs[i])) +
                    (ulong) ceil(0.30103*FLINT_BIT_COUNT(i)) + strlen(x) + 3;
    }

    buf = (char *) flint_malloc(size);
    ptr = buf;
    --i;
    if (i == 1)
    {
        switch (poly->coeffs[1])
        {
            case UWORD(1):
                ptr += flint_sprintf(ptr, "%s", x);
                break;
            default:
                ptr += flint_sprintf(ptr, "%wu*%s", poly->coeffs[1], x);
        }
        --i;
    }
    else
    {
        switch (poly->coeffs[i])
        {
            case UWORD(1):
                ptr += flint_sprintf(ptr, "%s^%wd", x, i);
                break;
            default:
                ptr += flint_sprintf(ptr, "%wu*%s^%wd", poly->coeffs[i], x, i);
        }
        --i;
    }
    for (; i > 1; --i)
    {
        switch (poly->coeffs[i])
        {
            case UWORD(0):
                break;
            case UWORD(1):
                ptr += flint_sprintf(ptr, "+%s^%wd", x, i);
                break;
            default:
                ptr += flint_sprintf(ptr, "+%wu*%s^%wd", poly->coeffs[i], x, i);
        }

    }
    if (i == 1)
    {
        switch (poly->coeffs[1])
        {
            case UWORD(0):
                break;
            case UWORD(1):
                ptr += flint_sprintf(ptr, "+%s", x);
                break;
            default:
                ptr += flint_sprintf(ptr, "+%wu*%s", poly->coeffs[1], x);
        }
    }
    {
        if (poly->coeffs[0] != UWORD(0))
            ptr += flint_sprintf(ptr, "+%wu", poly->coeffs[0]);
    }

    return buf;
}