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/* -*- mode: C -*- */
/*
IGraph library.
Copyright (C) 2010-2012 Gabor Csardi <csardi.gabor@gmail.com>
334 Harvard street, Cambridge, MA 02139 USA
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301 USA
*/
#include <igraph.h>
#include <math.h>
#define ARE 4
#define AIM 5
#define BRE 6
#define BIM 2
int main() {
igraph_complex_t a = igraph_complex(ARE, AIM);
igraph_complex_t b = igraph_complex(BRE, BIM);
igraph_complex_t c, d, e;
/* polar, mod, arg */
c=igraph_complex_polar(igraph_complex_mod(a), igraph_complex_arg(a));
if (!igraph_complex_eq_tol(a,c,1e-14)) { return 1; }
/* add */
c=igraph_complex_add(a,b);
if (IGRAPH_REAL(c) != ARE+BRE || IGRAPH_IMAG(c) != AIM+BIM) { return 2; }
/* sub */
c=igraph_complex_sub(a,b);
if (IGRAPH_REAL(c) != ARE-BRE || IGRAPH_IMAG(c) != AIM-BIM) { return 3; }
/* mul */
c=igraph_complex_mul(a,b);
if (IGRAPH_REAL(c) != ARE*BRE-AIM*BIM ||
IGRAPH_IMAG(c) != ARE*BIM+AIM*BRE) { return 4; }
/* div */
c=igraph_complex_div(a,b);
c=igraph_complex_mul(c,b);
if (!igraph_complex_eq_tol(a,c,1e-14)) { return 5; }
/* add_real */
c=igraph_complex_add_real(a,IGRAPH_REAL(b));
if (IGRAPH_REAL(c) != IGRAPH_REAL(a) + IGRAPH_REAL(b)) { return 6; }
if (IGRAPH_IMAG(c) != IGRAPH_IMAG(a)) { return 7; }
/* add_imag */
c=igraph_complex_add_imag(a,IGRAPH_IMAG(b));
if (IGRAPH_REAL(c) != IGRAPH_REAL(a)) { return 8; }
if (IGRAPH_IMAG(c) != IGRAPH_IMAG(a) + IGRAPH_IMAG(b)) { return 9; }
/* sub_real */
c=igraph_complex_sub_real(a,IGRAPH_REAL(b));
if (IGRAPH_REAL(c) != IGRAPH_REAL(a) - IGRAPH_REAL(b)) { return 10; }
if (IGRAPH_IMAG(c) != IGRAPH_IMAG(a)) { return 11; }
/* sub_imag */
c=igraph_complex_sub_imag(a,IGRAPH_IMAG(b));
if (IGRAPH_REAL(c) != IGRAPH_REAL(a)) { return 12; }
if (IGRAPH_IMAG(c) != IGRAPH_IMAG(a) - IGRAPH_IMAG(b)) { return 13; }
/* mul_real */
c=igraph_complex_mul_real(a, IGRAPH_REAL(b));
if (IGRAPH_REAL(c) != IGRAPH_REAL(a) * IGRAPH_REAL(b)) { return 14; }
if (IGRAPH_IMAG(c) != IGRAPH_IMAG(a) * IGRAPH_REAL(b)) { return 15; }
/* mul_imag */
c=igraph_complex_mul_imag(a, IGRAPH_REAL(b));
if (IGRAPH_REAL(c) != - IGRAPH_IMAG(a) * IGRAPH_REAL(b)) { return 14; }
if (IGRAPH_IMAG(c) != IGRAPH_REAL(a) * IGRAPH_REAL(b)) { return 15; }
/* div_real */
c=igraph_complex_div_real(a, IGRAPH_REAL(b));
if (fabs(IGRAPH_REAL(c) - IGRAPH_REAL(a) / IGRAPH_REAL(b)) > 1e-15) {
return 16;
}
if (fabs(IGRAPH_IMAG(c) - IGRAPH_IMAG(a) / IGRAPH_REAL(b)) > 1e-15) {
return 17;
}
/* div_imag */
c=igraph_complex_div_imag(a, IGRAPH_IMAG(b));
if (IGRAPH_REAL(c) != IGRAPH_IMAG(a) / IGRAPH_IMAG(b)) { return 18; }
if (IGRAPH_IMAG(c) != - IGRAPH_REAL(a) / IGRAPH_IMAG(b)) { return 19; }
/* conj */
c=igraph_complex_conj(a);
if (IGRAPH_REAL(c) != ARE || IGRAPH_IMAG(c) != -AIM) { return 20; }
/* neg */
c=igraph_complex_neg(a);
if (IGRAPH_REAL(c) != - IGRAPH_REAL(a) ||
IGRAPH_IMAG(c) != - IGRAPH_IMAG(a)) { return 21; }
/* inv */
c=igraph_complex_inv(a);
d=igraph_complex(1.0, 0.0);
e=igraph_complex_div(d, a);
if (!igraph_complex_eq_tol(c, e, 1e-14)) { return 22; }
/* abs */
if (igraph_complex_abs(a) != igraph_complex_mod(a)) { return 23; }
/* logabs */
/* sqrt */
c=igraph_complex_sqrt(a);
d=igraph_complex_mul(c,c);
if (!igraph_complex_eq_tol(a, d, 1e-14)) { return 24; }
/* sqrt_real */
c=igraph_complex_sqrt(igraph_complex(-1.0, 0.0));
d=igraph_complex_sqrt_real(-1.0);
if (!igraph_complex_eq_tol(c, d, 1e-14)) { return 25; }
/* exp */
c=igraph_complex_exp(igraph_complex(0.0, M_PI));
if (!igraph_complex_eq_tol(c, igraph_complex(-1.0, 0.0), 1e-14)) {
return 26;
}
/* pow */
c=igraph_complex_pow(igraph_complex(M_E, 0.0), igraph_complex(0.0, M_PI));
if (!igraph_complex_eq_tol(c, igraph_complex(-1.0, 0.0), 1e-14)) {
return 27;
}
/* pow_real */
c=igraph_complex_pow_real(a, 2.0);
d=igraph_complex_mul(a,a);
if (!igraph_complex_eq_tol(c, d, 1e-12)) { return 28; }
/* log */
c=igraph_complex_exp(igraph_complex_log(a));
if (!igraph_complex_eq_tol(a, c, 1e-14)) { return 29; }
/* log10 */
c=igraph_complex_pow(igraph_complex(10.0, 0), igraph_complex_log10(a));
if (!igraph_complex_eq_tol(a, c, 1e-14)) { return 30; }
/* log_b */
c=igraph_complex_pow(b, igraph_complex_log_b(a, b));
if (!igraph_complex_eq_tol(a, c, 1e-14)) { return 31; }
/* sin, cos */
c=igraph_complex_sin(a);
d=igraph_complex_cos(a);
e=igraph_complex_add(igraph_complex_mul(c,c), igraph_complex_mul(d,d));
if (!igraph_complex_eq_tol(e, igraph_complex(1.0, 0.0), 1e-11)) {
return 32;
}
/* tan */
c=igraph_complex_tan(a);
d=igraph_complex_div(igraph_complex_sin(a), igraph_complex_cos(a));
if (!igraph_complex_eq_tol(c, d, 1e-14)) { return 33; }
/* sec */
/* csc */
/* cot */
return 0;
}
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