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/*
Copyright (C) 2016 Pascal Molin
This file is part of Arb.
Arb 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 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "acb_dirichlet.h"
#define nq 5
#define nx 3
int main()
{
slong i, j;
ulong q[nq] = {3, 5, 61, 91, 800};
ulong m[nq] = {2, 4, 11, 2, 3};
slong prec = 150;
acb_ptr x;
/* cannot test at s = 1 with hurwitz */
const char * x_r[nx] = { "1", "0.5", "0.5" };
const char * x_i[nx] = { "1", "0", "6" };
acb_t ref, res;
/*
default(realprecision, 54)
X = [ 1 + I, 1/2, 1/2 + 6 * I ]
C = [Mod(2,3),Mod(4,5),Mod(11,61),Mod(2,91),Mod(3,800)]
v = concat([ [lfun(c,x) | x<-X] | c<-C])
apply(z->printf("\"%s\",\n",real(z)),v)
apply(z->printf("\"%s\",\n",imag(z)),v)
*/
const char * ref_r[nq * nx] = {
"0.655527984002548033786648216345221087939439503905627469",
"0.480867557696828626181220063235589877776829730832371863",
"1.56831301727577320813799211138797101541772722814204757",
"0.521271244517346991221550773660594765406476858135844321",
"0.231750947504015755883383661760877226427886696409005898",
"0.275543455389521803395512886745330595086898302178508437",
"0.598221809458540554839300433683735304093606595684903281",
"0.489264190003695740292779374874163221990017067040417393",
"0.573331076412428980263984182365365715292560207445592018",
"0.510279695870740409778738767334484809708615155539404548",
"0.635626509594367380604827545000418331455019188562281349",
"0.129304857274642475564179442785425797926079767522671163",
"1.18088858810025653590356481638012816019876881487868657",
"2.17175778983760437737667738885959799183430688287297767",
"3.41568550810774629867945639900431994221065497147578087"
};
const char * ref_i[nq * nx] = {
"0.220206044893215842652155131408935133596486560067476474",
"0",
"-0.969458654385732175077973304161399773236957587792986099",
"0.354614573267731219242838516784605303288232150760467423",
"0",
"-0.995392028773643947872231871832838543767598301887892796",
"1.04370497561090171487193145841005574472705644411957863",
"-0.108902811943905225853677097712717212629591264759957602",
"-0.232114369998608907337769019848201890558327186146689311",
"-0.133300066189980774635445078240315148544665020358019145",
"0.0119464572932630291870372694406253796888930803905106876",
"-0.567660589679294457801153713636532209809112025502518666",
"-0.654079942571300523223917775358845549990877148918886474",
"0.970337207245832214408380510793679653538607483205616894",
"-1.43652482351673593824956935036654893593947145947637807"
};
flint_printf("l_hurwitz....");
fflush(stdout);
x = _acb_vec_init(nx);
for (j = 0; j < nx; j++)
{
if (arb_set_str(acb_realref(x + j), x_r[j], prec) ||
arb_set_str(acb_imagref(x + j), x_i[j], prec) )
{
flint_printf("error while setting x[%wd] <- %s+I*%s\n",
j, x_r[j], x_i[j]);
flint_abort();
}
}
acb_init(ref);
acb_init(res);
for (i = 0; i < nq; i++)
{
dirichlet_group_t G;
dirichlet_char_t chi;
dirichlet_group_init(G, q[i]);
dirichlet_char_init(chi, G);
dirichlet_char_log(chi, G, m[i]);
for (j = 0; j < nx; j++)
{
if (arb_set_str(acb_realref(ref), ref_r[i * nx + j], prec - 10) ||
arb_set_str(acb_imagref(ref), ref_i[i * nx + j], prec - 10) )
{
flint_printf("error while setting ref <- %s+I*%s\n",
ref_r[i * nx + j], ref_i[i * nx + j]);
flint_abort();
}
acb_dirichlet_l_hurwitz(res, x + j, NULL, G, chi, prec + 10);
if (!acb_contains(ref, res))
{
flint_printf("FAIL:\n\n");
flint_printf("q = %wu\n", q[i]);
flint_printf("m = %wu\n", m[i]);
flint_printf("x = ");
acb_printd(x, 54);
flint_printf("\nref = ");
acb_printd(ref, 54);
flint_printf("\nl(chi,x) = ");
acb_printd(res, 54);
flint_printf("\n\n");
flint_abort();
}
}
dirichlet_char_clear(chi);
dirichlet_group_clear(G);
}
acb_clear(ref);
acb_clear(res);
_acb_vec_clear(x, nx);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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