mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
141 lines
3.4 KiB
C
141 lines
3.4 KiB
C
/*=============================================================================
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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
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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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ARB 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 ARB; 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) 2014 Fredrik Johansson
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******************************************************************************/
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#ifndef ACB_MODULAR_H
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#define ACB_MODULAR_H
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#include "acb.h"
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#ifdef __cplusplus
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extern "C" {
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#endif
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typedef struct
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{
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fmpz a;
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fmpz b;
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fmpz c;
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fmpz d;
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}
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psl2z_struct;
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typedef psl2z_struct psl2z_t[1];
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static __inline__ void
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psl2z_init(psl2z_t g)
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{
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fmpz_init(&g->a);
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fmpz_init(&g->b);
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fmpz_init(&g->c);
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fmpz_init(&g->d);
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fmpz_one(&g->a);
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fmpz_one(&g->d);
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}
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static __inline__ void
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psl2z_clear(psl2z_t g)
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{
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fmpz_clear(&g->a);
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fmpz_clear(&g->b);
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fmpz_clear(&g->c);
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fmpz_clear(&g->d);
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}
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static __inline__ void
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psl2z_swap(psl2z_t f, psl2z_t g)
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{
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psl2z_struct h = *f;
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*f = *g;
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*g = h;
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}
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static __inline__ void
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psl2z_set(psl2z_t h, const psl2z_t g)
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{
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fmpz_set(&h->a, &g->a);
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fmpz_set(&h->b, &g->b);
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fmpz_set(&h->c, &g->c);
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fmpz_set(&h->d, &g->d);
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}
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static __inline__ void
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psl2z_one(psl2z_t g)
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{
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fmpz_one(&g->a);
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fmpz_zero(&g->b);
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fmpz_zero(&g->c);
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fmpz_one(&g->d);
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}
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static __inline__ void
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psl2z_print(const psl2z_t g)
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{
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printf("[");
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fmpz_print(&g->a); printf(" ");
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fmpz_print(&g->b); printf("; ");
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fmpz_print(&g->c); printf(" ");
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fmpz_print(&g->d); printf("]");
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}
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static __inline__ int
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psl2z_equal(const psl2z_t f, const psl2z_t g)
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{
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return fmpz_equal(&f->a, &g->a)
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&& fmpz_equal(&f->b, &g->b)
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&& fmpz_equal(&f->c, &g->c)
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&& fmpz_equal(&f->d, &g->d);
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}
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void psl2z_mul(psl2z_t h, const psl2z_t f, const psl2z_t g);
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void psl2z_inv(psl2z_t h, const psl2z_t g);
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int psl2z_is_correct(const psl2z_t g);
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void psl2z_randtest(psl2z_t g, flint_rand_t state, long bits);
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void acb_modular_transform(acb_t w, const psl2z_t g, const acb_t z, long prec);
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void acb_modular_fundamental_domain_approx_d(psl2z_t g,
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double x, double y, double one_minus_eps);
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void acb_modular_fundamental_domain_approx_arf(psl2z_t g,
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const arf_t xx, const arf_t yy, const arf_t one_minus_eps, long prec);
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void acb_modular_fundamental_domain_approx(acb_t w, psl2z_t g, const acb_t z,
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const arf_t one_minus_eps, long prec);
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int acb_modular_is_in_fundamental_domain(const acb_t z, const arf_t tol, long prec);
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void acb_modular_addseq_theta(long * exponents, long * aindex, long * bindex, long num);
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void acb_modular_addseq_eta(long * exponents, long * aindex, long * bindex, long num);
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#ifdef __cplusplus
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}
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#endif
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#endif
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