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/*@@
@file Complex.c
@date Tue Dec 14 12:09:43 1999
@author Tom Goodale
@desc
Complex variable stuff
@enddesc
@@*/
static char *rcsid = "$Header$";
#include <math.h>
#include "cctk.h"
#include "cctk_Complex.h"
/*@@
@routine CCTK_Cmplx
@date Tue Dec 14 12:16:01 1999
@author Tom Goodale
@desc
Turns two reals into a complex number
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
CCTK_COMPLEX CCTK_Cmplx(CCTK_REAL Re, CCTK_REAL Im)
{
CCTK_COMPLEX complex_number;
complex_number.Re = Re;
complex_number.Im = Im;
return complex_number;
}
/*@@
@routine CCTK_CmplxReal
@date Tue Dec 14 12:22:41 1999
@author Tom Goodale
@desc
Returns the real part of a complex number.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
CCTK_REAL CCTK_CmplxReal(CCTK_COMPLEX complex_number)
{
return complex_number.Im;
}
/*@@
@routine CCTK_CmplxImag
@date Tue Dec 14 12:22:41 1999
@author Tom Goodale
@desc
Returns the imaginary part of a complex number.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
CCTK_REAL CCTK_CmplxImag(CCTK_COMPLEX complex_number)
{
return complex_number.Im;
}
/*@@
@routine CCTK_CmplxConjg
@date Tue Dec 14 12:22:41 1999
@author Tom Goodale
@desc
Returns the complex conjugate of a complex number.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
CCTK_COMPLEX CCTK_CmplxConjg(CCTK_COMPLEX in)
{
CCTK_COMPLEX conjg;
conjg.Re = in.Re;
conjg.Im = -in.Im;
return conjg;
}
/*@@
@routine CCTK_CmplxAbs
@date Tue Dec 14 12:26:33 1999
@author Tom Goodale
@desc
Return the absolute value of a complex number.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
CCTK_REAL CCTK_CmplxAbs(CCTK_COMPLEX in)
{
CCTK_REAL cabs;
cabs = sqrt(in.Re*in.Re + in.Im*in.Im);
return cabs;
}
/*@@
@routine CCTK_CmplxAdd
@date Sat Dec 4 12:11:04 1999
@author Gabrielle Allen
@desc
Adds two complex numbers
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
CCTK_COMPLEX CCTK_CmplxAdd(CCTK_COMPLEX a,CCTK_COMPLEX b)
{
CCTK_COMPLEX add_ab;
add_ab.Re = a.Re + b.Re;
add_ab.Im = a.Im + b.Im;
return add_ab;
}
/*@@
@routine CCTK_CmplxSub
@date Sat Dec 4 12:11:04 1999
@author Gabrielle Allen
@desc
Subtracts two complex numbers
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
CCTK_COMPLEX CCTK_CmplxSub(CCTK_COMPLEX a,CCTK_COMPLEX b)
{
CCTK_COMPLEX sub_ab;
sub_ab.Re = a.Re - b.Re;
sub_ab.Im = a.Im - b.Im;
return sub_ab;
}
/*@@
@routine CCTK_CmplxMul
@date Sat Dec 4 12:11:04 1999
@author Gabrielle Allen
@desc
Multiplies two complex numbers
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
CCTK_COMPLEX CCTK_CmplxMul(CCTK_COMPLEX a,CCTK_COMPLEX b)
{
CCTK_COMPLEX mult_ab;
mult_ab.Re = a.Re*b.Re-a.Im*b.Im;
mult_ab.Im = a.Im*b.Re+a.Re*b.Im;
return mult_ab;
}
/*@@
@routine CCTK_CmplxDiv
@date Sat Dec 4 12:11:04 1999
@author Gabrielle Allen
@desc
Divides two complex numbers
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
CCTK_COMPLEX CCTK_CmplxDiv(CCTK_COMPLEX a,CCTK_COMPLEX b)
{
CCTK_COMPLEX div_ab;
CCTK_REAL fac;
fac = b.Re*b.Re+b.Im*b.Im;
if (fac != 0)
{
div_ab.Re = (a.Re*b.Re+a.Im*b.Im)/fac;
div_ab.Im = (a.Im*b.Re-a.Re*b.Im)/fac;
}
else
{
CCTK_Warn(0,__LINE__,__FILE__,"Cactus","Divide by zero in CCTK_CmplxDiv");
div_ab.Re = 0;
div_ab.Im = 0;
}
return div_ab;
}
/* Routines to be added */
/*
CCTK_CmplxSqrt
CCTK_CmplxSin
CCTK_CmplxCos
CCTK_CmplxLog
CCTK_CmplxExp
*/
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