mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
103 lines
2.3 KiB
C
103 lines
2.3 KiB
C
/*
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Copyright (C) 2014 Fredrik Johansson
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This file is part of Arb.
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Arb is free software: you can redistribute it and/or modify it under
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the terms of the GNU Lesser General Public License (LGPL) as published
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by the Free Software Foundation; either version 2.1 of the License, or
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(at your option) any later version. See <http://www.gnu.org/licenses/>.
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*/
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#include "acb_modular.h"
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#include "flint/arith.h"
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static void
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acb_modular_epsilon_arg_naive(fmpq_t arg, const psl2z_t g)
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{
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#define a (&g->a)
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#define b (&g->b)
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#define c (&g->c)
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#define d (&g->d)
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if (fmpz_is_zero(c))
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{
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fmpz_set(fmpq_numref(arg), b);
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fmpz_set_ui(fmpq_denref(arg), 12);
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fmpq_canonicalise(arg);
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}
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else
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{
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fmpq_t t;
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fmpq_init(t);
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fmpz_add(fmpq_numref(arg), a, d);
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fmpz_submul_ui(fmpq_numref(arg), c, 3);
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fmpz_mul_ui(fmpq_denref(arg), c, 12);
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fmpq_canonicalise(arg);
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arith_dedekind_sum(t, d, c);
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fmpq_sub(arg, arg, t);
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fmpq_clear(t);
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}
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#undef a
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#undef b
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#undef c
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#undef d
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}
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int main()
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{
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slong iter;
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flint_rand_t state;
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flint_printf("eta_epsilon_arg....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
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{
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psl2z_t g;
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fmpq_t x, y;
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acb_t a, b;
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psl2z_init(g);
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fmpq_init(x);
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fmpq_init(y);
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acb_init(a);
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acb_init(b);
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psl2z_randtest(g, state, n_randint(state, 200));
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fmpq_randtest(x, state, 100);
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fmpq_randtest(y, state, 100);
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fmpq_set_si(x, acb_modular_epsilon_arg(g), 12);
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acb_modular_epsilon_arg_naive(y, g);
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arb_sin_cos_pi_fmpq(acb_imagref(a), acb_realref(a), x, 200);
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arb_sin_cos_pi_fmpq(acb_imagref(b), acb_realref(b), x, 200);
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if (!acb_overlaps(a, b))
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{
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flint_printf("FAIL\n");
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flint_printf("g = "); psl2z_print(g); flint_printf("\n");
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flint_printf("x = "); fmpq_print(x); flint_printf("\n");
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flint_printf("y = "); fmpq_print(y); flint_printf("\n");
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abort();
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}
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psl2z_clear(g);
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fmpq_clear(x);
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fmpq_clear(y);
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acb_clear(a);
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acb_clear(b);
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}
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flint_randclear(state);
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flint_cleanup();
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flint_printf("PASS\n");
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return EXIT_SUCCESS;
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}
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