83 lines
2.3 KiB
C
83 lines
2.3 KiB
C
/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2011 Fredrik Johansson
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include <gmp.h>
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#include "flint.h"
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#include "arith.h"
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#include "fmpz.h"
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#include "fmpz_poly.h"
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int main()
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{
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fmpz_poly_t T0, T1, T2, t;
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slong n;
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FLINT_TEST_INIT(state);
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flint_printf("chebyshev_t_polynomial....");
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fflush(stdout);
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fmpz_poly_init(T0);
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fmpz_poly_init(T1);
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fmpz_poly_init(T2);
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fmpz_poly_init(t);
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arith_chebyshev_t_polynomial(T0, 0);
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arith_chebyshev_t_polynomial(T1, 1);
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for (n = 2; n <= 500; n++)
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{
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arith_chebyshev_t_polynomial(T2, n);
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/* Verify T_{n+1} = 2 x T_n - T_{n-1} */
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fmpz_poly_scalar_mul_ui(t, T1, UWORD(2));
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fmpz_poly_shift_left(t, t, 1);
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fmpz_poly_sub(t, t, T0);
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if (!fmpz_poly_equal(t, T2))
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{
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flint_printf("FAIL: n = %wd\n", n);
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flint_printf("t: "); fmpz_poly_print_pretty(t, "x"); flint_printf("\n");
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flint_printf("T2: "); fmpz_poly_print_pretty(T2, "x"); flint_printf("\n");
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abort();
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}
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fmpz_poly_swap(T0, T1);
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fmpz_poly_swap(T1, T2);
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}
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fmpz_poly_clear(T0);
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fmpz_poly_clear(T1);
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fmpz_poly_clear(T2);
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fmpz_poly_clear(t);
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FLINT_TEST_CLEANUP(state);
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flint_printf("PASS\n");
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return 0;
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}
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