flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2011, 2012 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 "test_helpers.h"
#include "ulong_extras.h"
#include "fmpq_poly.h"
#include "padic_poly.h"

TEST_FUNCTION_START(padic_poly_compose, state)
{
    int i, result;

    padic_ctx_t ctx;
    fmpz_t p;
    slong N;

    /* Compare with the computation over QQ */
    for (i = 0; i < 10 * flint_test_multiplier(); i++)
    {
        padic_poly_t f, g, h, h2;
        fmpq_poly_t fQQ, gQQ, hQQ;

        fmpz_init_set_ui(p, n_randtest_prime(state, 0));
        N = n_randint(state, PADIC_TEST_PREC_MAX - PADIC_TEST_PREC_MIN)
            + PADIC_TEST_PREC_MIN;
        padic_ctx_init(ctx, p, FLINT_MAX(0, N-10), FLINT_MAX(0, N+10), PADIC_SERIES);

        padic_poly_init2(f,  0, N);
        padic_poly_init2(g,  0, N);
        padic_poly_init2(h,  0, N);
        padic_poly_init2(h2, 0, N);
        fmpq_poly_init(fQQ);
        fmpq_poly_init(gQQ);
        fmpq_poly_init(hQQ);

        padic_poly_randtest(f, state, n_randint(state, 40), ctx);
        padic_poly_randtest(g, state, n_randint(state, 15), ctx);

        padic_poly_get_fmpq_poly(fQQ, f, ctx);
        padic_poly_get_fmpq_poly(gQQ, g, ctx);

        padic_poly_compose(h, f, g, ctx);
        fmpq_poly_compose(hQQ, fQQ, gQQ);

        padic_poly_set_fmpq_poly(h2, hQQ, ctx);

        if (padic_poly_val(g) >= 0)
        {
            result = (padic_poly_equal(h, h2) && padic_poly_is_reduced(h, ctx));
            if (!result)
            {
                flint_printf("FAIL (cmp with QQ, ord_p(g) >= 0):\n");
                flint_printf("f  = "), padic_poly_print(f, ctx),  flint_printf("\n\n");
                flint_printf("g  = "), padic_poly_print(g, ctx),  flint_printf("\n\n");
                flint_printf("h  = "), padic_poly_debug(h),  flint_printf("\n\n");
                flint_printf("h2 = "), padic_poly_debug(h2), flint_printf("\n\n");
                flint_printf("p  = "), fmpz_print(p), flint_printf("\n\n");
                flint_printf("N  = %wd\n\n", N);
                fflush(stdout);
                flint_abort();
            }
        }
        else
        {
            slong N2 = N + (f->length - 1) * padic_poly_val(g);
            padic_poly_t hX, h2X;

            padic_poly_init2(hX,  0, N2);
            padic_poly_init2(h2X, 0, N2);

            padic_poly_set(hX,  h,  ctx);
            padic_poly_set(h2X, h2, ctx);

            result = (padic_poly_equal(hX, h2X) && padic_poly_is_reduced(hX, ctx));
            if (!result)
            {
                flint_printf("FAIL (cmp with QQ, ord_p(g) < 0):\n");
                flint_printf("f   = "), padic_poly_print(f,   ctx), flint_printf("\n\n");
                flint_printf("g   = "), padic_poly_print(g,   ctx), flint_printf("\n\n");
                flint_printf("h   = "), padic_poly_print(h,   ctx), flint_printf("\n\n");
                flint_printf("h2  = "), padic_poly_print(h2,  ctx), flint_printf("\n\n");
                flint_printf("hX  = "), padic_poly_print(hX,  ctx), flint_printf("\n\n");
                flint_printf("h2X = "), padic_poly_print(h2X, ctx), flint_printf("\n\n");
                flint_printf("p   = "), fmpz_print(p), flint_printf("\n\n");
                flint_printf("N   = %wd\n\n", N);
                flint_printf("N2  = %wd\n\n", N2);
                fflush(stdout);
                flint_abort();
            }

            padic_poly_clear(hX);
            padic_poly_clear(h2X);
        }

        padic_poly_clear(f);
        padic_poly_clear(g);
        padic_poly_clear(h);
        padic_poly_clear(h2);
        fmpq_poly_clear(fQQ);
        fmpq_poly_clear(gQQ);
        fmpq_poly_clear(hQQ);

        padic_ctx_clear(ctx);
        fmpz_clear(p);
    }

    TEST_FUNCTION_END(state);
}