flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2017 William Hart
    Copyright (C) 2018 Daniel Schultz

    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 "fmpz_mpoly.h"

TEST_FUNCTION_START(fmpz_mpoly_scalar_mul_ui, state)
{
    int i, j, result;

    /* Check (f*a)*b = f*(a*b) */
    for (i = 0; i < 10 * flint_test_multiplier(); i++)
    {
       fmpz_mpoly_ctx_t ctx;
       fmpz_mpoly_t f, g, h, k;
       ulong a, b, c;
       slong len, coeff_bits, exp_bits;

       fmpz_mpoly_ctx_init_rand(ctx, state, 20);

       fmpz_mpoly_init(f, ctx);
       fmpz_mpoly_init(g, ctx);
       fmpz_mpoly_init(h, ctx);
       fmpz_mpoly_init(k, ctx);

       len = n_randint(state, 100);

       exp_bits = n_randint(state, 200) + 1;
       coeff_bits = n_randint(state, 200);

       for (j = 0; j < 10; j++)
       {
          fmpz_mpoly_randtest_bits(f, state, len, coeff_bits, exp_bits, ctx);
          fmpz_mpoly_randtest_bits(g, state, len, coeff_bits, exp_bits, ctx);
          fmpz_mpoly_randtest_bits(h, state, len, coeff_bits, exp_bits, ctx);
          fmpz_mpoly_randtest_bits(k, state, len, coeff_bits, exp_bits, ctx);

          a = n_randbits(state, n_randint(state, FLINT_BITS/2) + 1);
          b = n_randbits(state, n_randint(state, FLINT_BITS/2) + 1);
          c = a*b;

          fmpz_mpoly_scalar_mul_ui(g, f, a, ctx);
          fmpz_mpoly_scalar_mul_ui(h, g, b, ctx);

          fmpz_mpoly_scalar_mul_ui(k, f, c, ctx);

          result = fmpz_mpoly_equal(h, k, ctx);

          if (!result)
          {
             printf("FAIL\n");
             flint_printf("Check (f*a)*b = f*(a*b)\ni = %wd, j = %wd\n", i,j);
             fflush(stdout);
             flint_abort();
          }
       }

       fmpz_mpoly_clear(f, ctx);
       fmpz_mpoly_clear(g, ctx);
       fmpz_mpoly_clear(h, ctx);
       fmpz_mpoly_clear(k, ctx);
    }

    /* Check aliasing */
    for (i = 0; i < 10 * flint_test_multiplier(); i++)
    {
       fmpz_mpoly_ctx_t ctx;
       fmpz_mpoly_t f, g, h;
       ulong c;
       slong len, coeff_bits, exp_bits;

       fmpz_mpoly_ctx_init_rand(ctx, state, 20);

       fmpz_mpoly_init(f, ctx);
       fmpz_mpoly_init(g, ctx);
       fmpz_mpoly_init(h, ctx);

       len = n_randint(state, 100);

       exp_bits = n_randint(state, 200) + 1;
       coeff_bits = n_randint(state, 200);

       for (j = 0; j < 10; j++)
       {
          fmpz_mpoly_randtest_bits(f, state, len, coeff_bits, exp_bits, ctx);
          fmpz_mpoly_randtest_bits(h, state, len, coeff_bits, exp_bits, ctx);

          c = n_randtest(state);

          fmpz_mpoly_set(g, f, ctx);

          fmpz_mpoly_scalar_mul_ui(h, f, c, ctx);

          fmpz_mpoly_scalar_mul_ui(g, g, c, ctx);

          result = fmpz_mpoly_equal(g, h, ctx);

          if (!result)
          {
             printf("FAIL\n");
             flint_printf("Check aliasing\ni = %wd, j = %wd\n", i,j);
             fflush(stdout);
             flint_abort();
          }
       }

       fmpz_mpoly_clear(f, ctx);
       fmpz_mpoly_clear(g, ctx);
       fmpz_mpoly_clear(h, ctx);
    }

    TEST_FUNCTION_END(state);
}