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/*@@
@file Complex.c
@date Tue Dec 14 12:09:43 1999
@author Tom Goodale
@desc
Complex variable stuff
@enddesc
@version $Header$
@@*/
#include <math.h>
#include "cctk_Flesh.h"
#include "cctk_Complex.h"
#include "cctk_WarnLevel.h"
static char *rcsid = "$Header$";
CCTK_FILEVERSION(main_Complex_c)
/********************************************************************
********************* Local Data Types ***********************
********************************************************************/
/********************************************************************
********************* Local Routine Prototypes *********************
********************************************************************/
/********************************************************************
********************* Other Routine Prototypes *********************
********************************************************************/
/********************************************************************
********************* Local Data *****************************
********************************************************************/
/********************************************************************
********************* External Routines **********************
********************************************************************/
/*@@
@routine CCTK_Cmplx
@date Tue Dec 14 12:16:01 1999
@author Tom Goodale
@desc
Turns two reals into a complex number
@enddesc
@var Re
@vdesc Real part
@vtype CCTK_REAL
@vio in
@endvar
@var Im
@vdesc Imaginary part
@vtype CCTK_REAL
@vio in
@endvar
@returntype CCTK_COMPLEX
@returndesc
The complex number
@endreturndesc
@@*/
#define DEFINE_CCTK_CMPLX(CCTK_Cmplx, cctk_real, cctk_complex) \
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
@var complex_number
@vdesc The complex number
@vtype CCTK_COMPLEX
@vio in
@endvar
@returntype CCTK_REAL
@returndesc
The real part
@endreturndesc
@@*/
#define DEFINE_CCTK_CMPLX_REAL(CCTK_Cmplx, cctk_real, cctk_complex) \
cctk_real CCTK_Cmplx##Real (cctk_complex complex_number) \
{ \
return (complex_number.Re); \
}
/*@@
@routine CCTK_CmplxImag
@date Tue Dec 14 12:22:41 1999
@author Tom Goodale
@desc
Returns the imaginary part of a complex number.
@enddesc
@var complex_number
@vdesc The complex number
@vtype CCTK_COMPLEX
@vio in
@endvar
@returntype CCTK_REAL
@returndesc
The imaginary part
@endreturndesc
@@*/
#define DEFINE_CCTK_CMPLX_IMAG(CCTK_Cmplx, cctk_real, cctk_complex) \
cctk_real CCTK_Cmplx##Imag (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
@var in
@vdesc The complex number
@vtype CCTK_COMPLEX
@vio in
@endvar
@returntype CCTK_COMPLEX
@returndesc
The complex conjugate
@endreturndesc
@@*/
#define DEFINE_CCTK_CMPLX_CONJG(CCTK_Cmplx, cctk_real, cctk_complex) \
cctk_complex CCTK_Cmplx##Conjg (cctk_complex complex_number) \
{ \
cctk_complex conjg; \
\
\
conjg.Re = complex_number.Re; \
conjg.Im = -complex_number.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
@var in
@vdesc The complex number
@vtype CCTK_COMPLEX
@vio in
@endvar
@returntype CCTK_REAL
@returndesc
The absolute value of the complex number
@endreturndesc
@@*/
#define DEFINE_CCTK_CMPLX_ABS(CCTK_Cmplx, cctk_real, cctk_complex) \
cctk_real CCTK_Cmplx##Abs (cctk_complex complex_number) \
{ \
return (sqrt (complex_number.Re*complex_number.Re + \
complex_number.Im*complex_number.Im)); \
}
/*@@
@routine CCTK_CmplxAdd
@date Sat Dec 4 12:11:04 1999
@author Gabrielle Allen
@desc
Adds two complex numbers
@enddesc
@var a
@vdesc First summand
@vtype CCTK_COMPLEX
@vio in
@endvar
@var b
@vdesc Second summand
@vtype CCTK_COMPLEX
@vio in
@endvar
@returntype CCTK_COMPLEX
@returndesc
The sum of a and b
@endreturndesc
@@*/
#define DEFINE_CCTK_CMPLX_ADD(CCTK_Cmplx, cctk_real, cctk_complex) \
cctk_complex CCTK_Cmplx##Add (cctk_complex a, cctk_complex b) \
{ \
cctk_complex sum; \
\
\
sum.Re = a.Re + b.Re; \
sum.Im = a.Im + b.Im; \
return (sum); \
}
/*@@
@routine CCTK_CmplxSub
@date Sat Dec 4 12:11:04 1999
@author Gabrielle Allen
@desc
Subtracts two complex numbers
@enddesc
@var a
@vdesc First operand
@vtype CCTK_COMPLEX
@vio in
@endvar
@var b
@vdesc Second operand
@vtype CCTK_COMPLEX
@vio in
@endvar
@returntype CCTK_COMPLEX
@returndesc
The difference
@endreturndesc
@@*/
#define DEFINE_CCTK_CMPLX_SUB(CCTK_Cmplx, cctk_real, cctk_complex) \
cctk_complex CCTK_Cmplx##Sub (cctk_complex a, cctk_complex b) \
{ \
cctk_complex diff; \
\
\
diff.Re = a.Re - b.Re; \
diff.Im = a.Im - b.Im; \
return (diff); \
}
/*@@
@routine CCTK_CmplxMul
@date Sat Dec 4 12:11:04 1999
@author Gabrielle Allen
@desc
Multiplies two complex numbers
@enddesc
@var a
@vdesc First operand
@vtype CCTK_COMPLEX
@vio in
@endvar
@var b
@vdesc Second operand
@vtype CCTK_COMPLEX
@vio in
@endvar
@returntype CCTK_COMPLEX
@returndesc
The product
@endreturndesc
@@*/
#define DEFINE_CCTK_CMPLX_MUL(CCTK_Cmplx, cctk_real, cctk_complex) \
cctk_complex CCTK_Cmplx##Mul (cctk_complex a, cctk_complex b) \
{ \
cctk_complex mult; \
\
\
mult.Re = a.Re*b.Re - a.Im*b.Im; \
mult.Im = a.Im*b.Re + a.Re*b.Im; \
return (mult); \
}
/*@@
@routine CCTK_CmplxDiv
@date Sat Dec 4 12:11:04 1999
@author Gabrielle Allen
@desc
Divides two complex numbers
@enddesc
@var a
@vdesc First operand
@vtype CCTK_COMPLEX
@vio in
@endvar
@var b
@vdesc Second operand
@vtype CCTK_COMPLEX
@vio in
@endvar
@returntype CCTK_COMPLEX
@returndesc
The quotient
@endreturndesc
@@*/
#define DEFINE_CCTK_CMPLX_DIV(CCTK_Cmplx, cctk_real, cctk_complex) \
cctk_complex CCTK_Cmplx##Div (cctk_complex a, cctk_complex b) \
{ \
cctk_real factor; \
cctk_complex quot; \
\
\
factor = b.Re*b.Re + b.Im*b.Im; \
if (factor != 0) \
{ \
quot.Re = (a.Re*b.Re + a.Im*b.Im) / factor; \
quot.Im = (a.Im*b.Re - a.Re*b.Im) / factor; \
} \
else \
{ \
CCTK_Warn (0, __LINE__, __FILE__, "Cactus", \
"Divide by zero in CCTK_CmplxDiv"); \
quot.Re = quot.Im = 0; \
} \
return (quot); \
}
/* Routines to be added */
/*
CCTK_CmplxSqrt
CCTK_CmplxSin
CCTK_CmplxCos
CCTK_CmplxLog
CCTK_CmplxExp
*/
/* macro to define a set of complex functions for a given precision */
#define DEFINE_CMPLX_FUNCTIONS(CCTK_Cmplx, cctk_real, cctk_complex) \
DEFINE_CCTK_CMPLX (CCTK_Cmplx, cctk_real, cctk_complex) \
DEFINE_CCTK_CMPLX_REAL (CCTK_Cmplx, cctk_real, cctk_complex) \
DEFINE_CCTK_CMPLX_IMAG (CCTK_Cmplx, cctk_real, cctk_complex) \
DEFINE_CCTK_CMPLX_CONJG (CCTK_Cmplx, cctk_real, cctk_complex) \
DEFINE_CCTK_CMPLX_ABS (CCTK_Cmplx, cctk_real, cctk_complex) \
DEFINE_CCTK_CMPLX_ADD (CCTK_Cmplx, cctk_real, cctk_complex) \
DEFINE_CCTK_CMPLX_SUB (CCTK_Cmplx, cctk_real, cctk_complex) \
DEFINE_CCTK_CMPLX_MUL (CCTK_Cmplx, cctk_real, cctk_complex) \
DEFINE_CCTK_CMPLX_DIV (CCTK_Cmplx, cctk_real, cctk_complex)
/* define complex functions for all available precisions */
#ifdef CCTK_REAL4
DEFINE_CMPLX_FUNCTIONS (CCTK_Cmplx8, CCTK_REAL4, CCTK_COMPLEX8)
#endif
#ifdef CCTK_REAL8
DEFINE_CMPLX_FUNCTIONS (CCTK_Cmplx16, CCTK_REAL8, CCTK_COMPLEX16)
#endif
#ifdef CCTK_REAL16
DEFINE_CMPLX_FUNCTIONS (CCTK_Cmplx32, CCTK_REAL16, CCTK_COMPLEX32)
#endif
|
