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Abdelrahman Said
2026-06-28 13:49:01 +01:00
parent 0a9807e448
commit a11edf0c53
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references/igraph-1.0.1/tests/unit/igraph_complex.c
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/*
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>
/* Ensure that math constants are available. */
#include "core/math.h" /* M_PI */
#include "test_utilities.h"
#define ARE 4
#define AIM 5
#define BRE 6
#define BIM 2
int main(void) {
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_abs(a), igraph_complex_arg(a));
IGRAPH_ASSERT(igraph_complex_almost_equals(a, c, 1e-14));
/* add */
c = igraph_complex_add(a, b);
IGRAPH_ASSERT(IGRAPH_REAL(c) == ARE + BRE && IGRAPH_IMAG(c) == AIM + BIM);
/* sub */
c = igraph_complex_sub(a, b);
IGRAPH_ASSERT(IGRAPH_REAL(c) == ARE - BRE && IGRAPH_IMAG(c) == AIM - BIM);
/* mul */
c = igraph_complex_mul(a, b);
IGRAPH_ASSERT(IGRAPH_REAL(c) == ARE * BRE - AIM * BIM);
IGRAPH_ASSERT(IGRAPH_IMAG(c) == ARE * BIM + AIM * BRE);
/* div */
c = igraph_complex_div(a, b);
c = igraph_complex_mul(c, b);
IGRAPH_ASSERT(igraph_complex_almost_equals(a, c, 1e-14));
/* add_real */
c = igraph_complex_add_real(a, IGRAPH_REAL(b));
IGRAPH_ASSERT(IGRAPH_REAL(c) == IGRAPH_REAL(a) + IGRAPH_REAL(b));
IGRAPH_ASSERT(IGRAPH_IMAG(c) == IGRAPH_IMAG(a));
/* add_imag */
c = igraph_complex_add_imag(a, IGRAPH_IMAG(b));
IGRAPH_ASSERT(IGRAPH_REAL(c) == IGRAPH_REAL(a));
IGRAPH_ASSERT(IGRAPH_IMAG(c) == IGRAPH_IMAG(a) + IGRAPH_IMAG(b));
/* sub_real */
c = igraph_complex_sub_real(a, IGRAPH_REAL(b));
IGRAPH_ASSERT(IGRAPH_REAL(c) == IGRAPH_REAL(a) - IGRAPH_REAL(b));
IGRAPH_ASSERT(IGRAPH_IMAG(c) == IGRAPH_IMAG(a));
/* sub_imag */
c = igraph_complex_sub_imag(a, IGRAPH_IMAG(b));
IGRAPH_ASSERT(IGRAPH_REAL(c) == IGRAPH_REAL(a));
IGRAPH_ASSERT(IGRAPH_IMAG(c) == IGRAPH_IMAG(a) - IGRAPH_IMAG(b));
/* mul_real */
c = igraph_complex_mul_real(a, IGRAPH_REAL(b));
IGRAPH_ASSERT(IGRAPH_REAL(c) == IGRAPH_REAL(a) * IGRAPH_REAL(b));
IGRAPH_ASSERT(IGRAPH_IMAG(c) == IGRAPH_IMAG(a) * IGRAPH_REAL(b));
/* mul_imag */
c = igraph_complex_mul_imag(a, IGRAPH_REAL(b));
IGRAPH_ASSERT(IGRAPH_REAL(c) == - IGRAPH_IMAG(a) * IGRAPH_REAL(b));
IGRAPH_ASSERT(IGRAPH_IMAG(c) == IGRAPH_REAL(a) * IGRAPH_REAL(b));
/* div_real */
c = igraph_complex_div_real(a, IGRAPH_REAL(b));
IGRAPH_ASSERT(fabs(IGRAPH_REAL(c) - IGRAPH_REAL(a) / IGRAPH_REAL(b)) < 1e-15);
IGRAPH_ASSERT(fabs(IGRAPH_IMAG(c) - IGRAPH_IMAG(a) / IGRAPH_REAL(b)) < 1e-15);
/* div_imag */
c = igraph_complex_div_imag(a, IGRAPH_IMAG(b));
IGRAPH_ASSERT(IGRAPH_REAL(c) == IGRAPH_IMAG(a) / IGRAPH_IMAG(b));
IGRAPH_ASSERT(IGRAPH_IMAG(c) == - IGRAPH_REAL(a) / IGRAPH_IMAG(b));
/* conj */
c = igraph_complex_conj(a);
IGRAPH_ASSERT(IGRAPH_REAL(c) == ARE && IGRAPH_IMAG(c) == -AIM);
/* neg */
c = igraph_complex_neg(a);
IGRAPH_ASSERT(IGRAPH_REAL(c) == - IGRAPH_REAL(a));
IGRAPH_ASSERT(IGRAPH_IMAG(c) == - IGRAPH_IMAG(a));
/* inv */
c = igraph_complex_inv(a);
d = igraph_complex(1.0, 0.0);
e = igraph_complex_div(d, a);
IGRAPH_ASSERT(igraph_complex_almost_equals(c, e, 1e-14));
/* logabs */
/* sqrt */
c = igraph_complex_sqrt(a);
d = igraph_complex_mul(c, c);
IGRAPH_ASSERT(igraph_complex_almost_equals(a, d, 1e-14));
/* sqrt_real */
c = igraph_complex_sqrt(igraph_complex(-1.0, 0.0));
d = igraph_complex_sqrt_real(-1.0);
IGRAPH_ASSERT(igraph_complex_almost_equals(c, d, 1e-14));
/* exp */
c = igraph_complex_exp(igraph_complex(0.0, M_PI));
IGRAPH_ASSERT(igraph_complex_almost_equals(c, igraph_complex(-1.0, 0.0), 1e-14));
/* pow */
c = igraph_complex_pow(igraph_complex(M_E, 0.0), igraph_complex(0.0, M_PI));
IGRAPH_ASSERT(igraph_complex_almost_equals(c, igraph_complex(-1.0, 0.0), 1e-14));
/* pow_real */
c = igraph_complex_pow_real(a, 2.0);
d = igraph_complex_mul(a, a);
IGRAPH_ASSERT(igraph_complex_almost_equals(c, d, 1e-14));
/* log */
c = igraph_complex_exp(igraph_complex_log(a));
IGRAPH_ASSERT(igraph_complex_almost_equals(a, c, 1e-14));
/* log10 */
c = igraph_complex_pow(igraph_complex(10.0, 0), igraph_complex_log10(a));
IGRAPH_ASSERT(igraph_complex_almost_equals(a, c, 1e-14));
/* log_b */
c = igraph_complex_pow(b, igraph_complex_log_b(a, b));
IGRAPH_ASSERT(igraph_complex_almost_equals(a, c, 1e-14));
/* 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));
IGRAPH_ASSERT(igraph_complex_almost_equals(e, igraph_complex(1.0, 0.0), 1e-12));
/* tan */
c = igraph_complex_tan(a);
d = igraph_complex_div(igraph_complex_sin(a), igraph_complex_cos(a));
IGRAPH_ASSERT(igraph_complex_almost_equals(c, d, 1e-14));
/* sec */
c = igraph_complex_sec(a);
d = igraph_complex_inv(igraph_complex_cos(a));
IGRAPH_ASSERT(igraph_complex_almost_equals(c, d, 1e-14));
/* csc */
c = igraph_complex_csc(a);
d = igraph_complex_inv(igraph_complex_sin(a));
IGRAPH_ASSERT(igraph_complex_almost_equals(c, d, 1e-14));
/* cot */
c = igraph_complex_tan(a);
d = igraph_complex_div(igraph_complex_sin(a), igraph_complex_cos(a));
IGRAPH_ASSERT(igraph_complex_almost_equals(d, c, 1e-14));
VERIFY_FINALLY_STACK();
return 0;
}