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libquantum/complex.c
2016-10-27 04:09:05 +09:00

74 lines
1.6 KiB
C

/* complex.c: Complex number functions
Copyright 2003 Bjoern Butscher, Hendrik Weimer
This file is part of libquantum
libquantum 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.
libquantum 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 libquantum; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
USA
*/
#include <math.h>
#include "complex.h"
#include "config.h"
/* Return the real part of a complex number */
float
quantum_real(COMPLEX_FLOAT a)
{
float *p = (float *) &a;
return p[0];
}
/* Return the imaginary part of a complex number */
float
quantum_imag(COMPLEX_FLOAT a)
{
float *p = (float *) &a;
return p[1];
}
/* Return the complex conjugate of a complex number */
COMPLEX_FLOAT
quantum_conj(COMPLEX_FLOAT a)
{
float r, i;
r = quantum_real(a);
i = quantum_imag(a);
return r - IMAGINARY * i;
}
/* Calculate the square of a complex number (i.e. the probability) */
float
quantum_prob(COMPLEX_FLOAT a)
{
return (float) (a * quantum_conj(a));
}
/* Calculate e^(i * phi) */
COMPLEX_FLOAT quantum_cexp(float phi)
{
return cos(phi) + IMAGINARY * sin(phi);
}