mirror of
https://github.com/vale981/arb
synced 2025-03-05 17:31:38 -05:00
118 lines
3.4 KiB
C
118 lines
3.4 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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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("lambda....");
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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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acb_t tau1, tau2, z1, z2, z3, t;
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slong e0, prec0, prec1, prec2, step;
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acb_init(tau1);
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acb_init(tau2);
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acb_init(z1);
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acb_init(z2);
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acb_init(z3);
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acb_init(t);
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e0 = 1 + n_randint(state, 100);
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prec0 = 2 + n_randint(state, 1000);
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prec1 = 2 + n_randint(state, 1000);
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prec2 = 2 + n_randint(state, 1000);
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acb_randtest(tau1, state, prec0, e0);
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acb_randtest(tau2, state, prec0, e0);
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acb_randtest(z1, state, prec0, e0);
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acb_randtest(z2, state, prec0, e0);
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acb_set(tau2, tau1);
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step = n_randint(state, 10);
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/* Test invariance */
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while (step --> 0)
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{
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if (n_randint(state, 2))
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{
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acb_add_ui(tau2, tau2, 2, prec0);
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}
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else
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{
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acb_mul_si(z1, tau2, -2, prec0);
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acb_add_ui(z1, z1, 1, prec0);
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acb_div(tau2, tau2, z1, prec0);
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}
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}
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acb_modular_lambda(z1, tau1, prec1);
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acb_modular_lambda(z2, tau2, prec2);
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/* Compare with eta */
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acb_mul_2exp_si(tau1, tau1, -1);
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acb_modular_eta(z3, tau1, prec2);
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acb_mul_2exp_si(tau1, tau1, 2);
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acb_modular_eta(t, tau1, prec2);
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acb_mul(t, t, t, prec2);
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acb_mul(z3, z3, t, prec2);
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acb_mul_2exp_si(tau1, tau1, -1);
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acb_modular_eta(t, tau1, prec2);
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acb_pow_ui(t, t, 3, prec2);
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acb_div(z3, z3, t, prec2);
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acb_pow_ui(z3, z3, 8, prec2);
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acb_mul_2exp_si(z3, z3, 4);
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if (!acb_overlaps(z1, z2) || !acb_overlaps(z1, z3))
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{
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flint_printf("FAIL (overlap)\n");
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flint_printf("tau1 = "); acb_printd(tau1, 15); flint_printf("\n\n");
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flint_printf("tau2 = "); acb_printd(tau2, 15); flint_printf("\n\n");
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flint_printf("z1 = "); acb_printd(z1, 15); flint_printf("\n\n");
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flint_printf("z2 = "); acb_printd(z2, 15); flint_printf("\n\n");
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flint_printf("z3 = "); acb_printd(z3, 15); flint_printf("\n\n");
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abort();
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}
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acb_modular_lambda(tau1, tau1, prec2);
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if (!acb_overlaps(z1, tau1))
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{
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flint_printf("FAIL (aliasing)\n");
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flint_printf("tau1 = "); acb_printd(tau1, 15); flint_printf("\n\n");
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flint_printf("tau2 = "); acb_printd(tau2, 15); flint_printf("\n\n");
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flint_printf("z1 = "); acb_printd(z1, 15); flint_printf("\n\n");
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flint_printf("z2 = "); acb_printd(z2, 15); flint_printf("\n\n");
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abort();
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}
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acb_clear(tau1);
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acb_clear(tau2);
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acb_clear(z1);
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acb_clear(z2);
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acb_clear(z3);
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acb_clear(t);
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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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