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complex.c
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complex.c
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/* ------- file: -------------------------- complex.c ---------------
Version: rh2.0
Author: Han Uitenbroek (huitenbroek@nso.edu)
Last modified: Thu Dec 13 11:16:58 2001 --
-------------------------- ----------RH-- */
/* --- Complex operations needed in Voigt generator and FFT -- ------ */
#include <stdlib.h>
#include <math.h>
#include "rh.h"
#include "complex.h"
/* --- Function prototypes -- -------------- */
/* --- Global variables -- -------------- */
/* ------- begin -------------------------- complex.c --------------- */
complex cmplx(double a, double b)
{
complex c;
/* --- Return complex number z = a + bi -- ------------ */
c.r = a;
c.i = b;
return c;
}
/* ------- end ---------------------------- complex.c --------------- */
/* ------- begin -------------------------- cmplx_conj.c ------------ */
complex cmplx_conj(complex a)
{
complex c;
/* --- Return complex conjugate -- ------------ */
c.r = a.r;
c.i = -a.i;
return c;
}
/* ------- end ---------------------------- cmplx_conj.c ------------ */
/* ------- begin -------------------------- cmplx_mult.c ------------ */
complex cmplx_mult(complex a, complex b)
{
complex c;
/* --- Multiply two complex numbers -- ------------ */
c.r = a.r*b.r - a.i*b.i;
c.i = a.r*b.i + a.i*b.r;
return c;
}
/* ------- end ---------------------------- cmplx_mult.c ------------ */
/* ------- begin -------------------------- cmplx_scl.c ------------- */
complex cmplx_sclr(double a, complex b)
{
complex c;
/* --- Multiply a complex number with a scalar -- ------------ */
c.r = a * b.r;
c.i = a * b.i;
return c;
}
/* ------- end ---------------------------- cmplx_scl.c ------------- */
/* ------- begin -------------------------- cmplx_div.c ------------- */
complex cmplx_div(complex a, complex b)
{
complex c;
double d;
/* --- Divide two complex numbers -- ------------ */
d = b.r*b.r + b.i*b.i;
c.r = (a.r*b.r + a.i*b.i) / d;
c.i = (a.i*b.r - a.r*b.i) / d;
return c;
}
/* ------- end ---------------------------- cmplx_div.c ------------- */
/* ------- begin -------------------------- cmplx_exp.c ------------- */
complex cmplx_exp(complex a)
{
/* --- Complex exponential function -- ------------ */
return cmplx_sclr(exp(a.r), cmplx(cos(a.i), sin(a.i)));
}
/* ------- end ---------------------------- cmplx_div.c ------------- */
/* ------- begin -------------------------- cmplx_add.c ------------- */
complex cmplx_add(complex a, complex b)
{
complex c;
/* --- Add two complex numbers -- ------------ */
c.r = a.r + b.r;
c.i = a.i + b.i;
return c;
}
/* ------- end ---------------------------- cmplx_add.c ------------- */
/* ------- begin -------------------------- cmplx_addr.c ------------ */
complex cmplx_addr(complex a, double b)
{
complex c;
/* --- Add real number to complex -- ------------ */
c.r = a.r + b;
c.i = a.i;
return c;
}
/* ------- end ---------------------------- cmplx_addr.c ------------ */
/* ------- begin -------------------------- cmplx_subt.c ------------ */
complex cmplx_subt(complex a, complex b)
{
complex c;
/* --- Subtract two complex numbers -- ------------ */
c.r = a.r - b.r;
c.i = a.i - b.i;
return c;
}
/* ------- end ---------------------------- cmplx_subt.c ------------ */
/* ------- begin -------------------------- matrix_complex.c -------- */
complex **matrix_complex(int Nrow, int Ncol)
{
register int i;
int typeSize = sizeof(complex), pointerSize = sizeof(complex *);
complex *theMatrix, **Matrix;
theMatrix = (complex *) calloc(Nrow * Ncol, typeSize);
Matrix = (complex **) malloc(Nrow * pointerSize);
for (i = 0; i < Nrow; i++, theMatrix += Ncol)
Matrix[i] = theMatrix;
return Matrix;
}
/* ------- end ---------------------------- matrix_complex.c -------- */