flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2023 Fredrik Johansson

    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 "gr_vec.h"
#include "gr_poly.h"

/* todo: use vector functions when overlap behavior is guaranteed? */
int
_gr_poly_taylor_shift_horner(gr_ptr res, gr_srcptr poly, slong len, gr_srcptr c, gr_ctx_t ctx)
{
    int status = GR_SUCCESS;
    slong i, j;
    slong sz = ctx->sizeof_elem;

    if (res != poly)
        status |= _gr_vec_set(res, poly, len, ctx);

    if (gr_is_one(c, ctx) == T_TRUE)
    {
        gr_method_binary_op add = GR_BINARY_OP(ctx, ADD);

        for (i = len - 2; i >= 0; i--)
            for (j = i; j < len - 1; j++)
                status |= add(GR_ENTRY(res, j, sz), GR_ENTRY(res, j, sz), GR_ENTRY(res, j + 1, sz), ctx);
    }
    else if (gr_is_neg_one(c, ctx) == T_TRUE)
    {
        gr_method_binary_op sub = GR_BINARY_OP(ctx, SUB);

        for (i = len - 2; i >= 0; i--)
            for (j = i; j < len - 1; j++)
                status |= sub(GR_ENTRY(res, j, sz), GR_ENTRY(res, j, sz), GR_ENTRY(res, j + 1, sz), ctx);
    }
    else if (gr_is_zero(c, ctx) != T_TRUE)
    {
        /* todo: when we have generic addmul, use a temporary */
        gr_method_binary_op addmul = GR_BINARY_OP(ctx, ADDMUL);

        for (i = len - 2; i >= 0; i--)
            for (j = i; j < len - 1; j++)
                status |= addmul(GR_ENTRY(res, j, sz), GR_ENTRY(res, j + 1, sz), c, ctx);
    }

    return status;
}

int
gr_poly_taylor_shift_horner(gr_poly_t res, const gr_poly_t f, gr_srcptr c, gr_ctx_t ctx)
{
    int status = GR_SUCCESS;

    if (res != f)
        status |= gr_poly_set(res, f, ctx);

    status |= _gr_poly_taylor_shift_horner(res->coeffs, res->coeffs, res->length, c, ctx);

    /* Normally the leading coefficient does not change, but it may have
       exactified from maybe-zero to definitely-zero when working with
       inexact represenations of the zero ring; it may also have been
       mutated to a temporary value by an algorithm which fails with GR_UNABLE. */
    _gr_poly_normalise(res, ctx);

    return status;
}