I would like to use complex numbers as defined in C99, but I need to support compilers which do not support it (MS compilers come to mind).
I don't need many functions, and implementing the needed functions on compilers without support is not too difficult. But I have a hard time implementing the 'type' itself. Ideally, I would like to do something like:
#ifndef HAVE_CREAL
double creal(complex z)
{
/* .... */
}
#endif
#ifndef HAVE_CREALF
float creal(float complex z)
{
/* ... */
}
#endif
But I am not sure I see how to do this if the compiler cannot recognize 'float complex'. I would actually think it is impossible, but the C library by Dinkumware seems to indicate otherwise. What is the solution ? I don't mind using functions/macros for operations on the type, but I need a way to assign values to a complex number, and get back its real/imaginary part in a way whichi is compatible with C99.
I ended up doing something like this:
#ifdef USE_C99_COMPLEX
#include <complex.h>
typedef complex my_complex;
#else
typedef struct {
double x, y;
} my_complex;
#endif
/*
* Those unions are used to convert a pointer of my_complex to native C99
* complex or our own complex type indenpendently on whether C99 complex
* support is available
*/
#ifdef USE_C99_COMPLEX
typedef union {
my_complex my_z;
complex c99_z;
} __complex_to_c99_cast;
#else
typedef union {
my_complex my_z;
my_complex c99_z;
} __complex_to_c99_cast;
#endif
for the type definition, and as follows to define a set of complex functions:
#ifndef HAVE_CREAL
double my_creal(my_complex z)
{
union {
my_complex z;
double a[2];
} z1;
z1.z = z;
return z1.a[0];
}
#endif
#ifdef HAVE_CREAL
my_complex my_creal(ny_complex z)
{
__complex_to_c99_cast z1;
__complex_to_c99_cast ret;
z1.my_z = z;
ret.c99_z = creal(z1.c99_z);
return ret.npy_z;
}
#endif
That's a bit complicated, but this enables me to easily reuse C lib functions when available, and it can be partly automated through code generator.
No matter what you do, you can't make "float complex" parse properly in a non-C99 compiler. So instead of writing that, make some typedefs. It's far easier if you only have to support one complex type, so I'll just demonstrate with float complex
.
First, define the types:
#if __STDC_VERSION__ >= 199901L
//using a C99 compiler
#include <complex.h>
typedef float _Complex float_complex;
#else
typedef struct
{
float re, im;
} float_complex;
#endif
Then, we need to be able to create complex numbers, and emulate creal and cimag.
#if __STDC_VERSION__ >= 199901L
//creal, cimag already defined in complex.h
inline complex_float make_complex_float(float real, float imag)
{
return real + imag * I;
}
#else
#define creal(z) ((z).re)
#define cimag(z) ((z).im)
extern const complex_float complex_i; //put in a translation unit somewhere
#define I complex_i
inline complex_float make_complex_float(float real, float imag)
{
complex_float z = {real, imag};
return z;
}
#endif
Next, write functions that wrap addition, subtraction, multiplication, division, and comparisons.
#if __STDC_VERSION__ >= 199901L
#define add_complex(a, b) ((a)+(b))
//similarly for other operations
#else //not C99
inline float_complex add_complex(float_complex a, float_complex b)
{
float_complex z = {a.re + b.re, a.im + b.im};
return z;
}
//similarly for subtract, multiply, divide, and comparison operations.
Note that add_complex(c, 5)
doesn't work in C89 mode in the above code, because the compiler doesn't know how to make 5 into a complex. This is a tricky problem to fix in C without compiler support -- you have to resort to tricks like the new tgmath.h
uses, which are compiler-specific.
Unfortunately, the effect of all of this is that the nice C99 syntax like a+b
to add complex numbers has to be written add_complex(a, b)
.
Another option (as another poster pointed to) is to use C++ std::complex
on non-C99 compilers. This might be OK if you can wrap things in typedefs and #ifdef
s. However, you'd require either C++ or C99.
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