#define _TGMATH_H
/*
-tgmath.h is broken:
-with __GNUC__ the return type is wrong when all arguments are float [complex]
+wrong when sizeof(double) == sizeof(long double)
+with __GNUC__ the return type is broken in case of mixed float and int arguments
without __GNUC__ the return type is always long double [complex]
(imaginary type is not supported)
*/
#include <math.h>
#include <complex.h>
-#ifdef __GNUC__
-#define __RETCAST(x) (__typeof__((x)))
-#else
-#define __RETCAST(x)
-#endif
-
#define __IS_FP(x) !!((1?1:(x))/2)
#define __IS_CX(x) (__IS_FP(x) && sizeof(x) == sizeof((x)+I))
#define __IS_REAL(x) (__IS_FP(x) && 2*sizeof(x) == sizeof((x)+I))
#define __DBLCX(x) (__IS_CX(x) && sizeof(x) == sizeof(double complex))
#define __LDBLCX(x) (__IS_CX(x) && sizeof(x) == sizeof(long double complex))
-#define __tg_real(fun, x) __RETCAST((x)+1.0)( \
+#ifdef __GNUC__
+/* typeof(x) if fp else double (using ?: with null pointers) */
+#define __RETCAST(x) (__typeof__(*( \
+ 0 ? (__typeof__(0 ? (double *)0 : (void *)__IS_FP(x)))0 : \
+ (__typeof__(0 ? (__typeof__(x) *)0 : (void *)!__IS_FP(x)))0 )))
+/* drop complex from the type of x */
+#define __TO_REAL(x) *( \
+ 0 ? (__typeof__(0 ? (double *)0 : (void *)!__DBLCX(x)))0 : \
+ 0 ? (__typeof__(0 ? (float *)0 : (void *)!__FLTCX(x)))0 : \
+ 0 ? (__typeof__(0 ? (long double *)0 : (void *)!__LDBLCX(x)))0 : \
+ (__typeof__(0 ? (__typeof__(x) *)0 : (void *)__IS_CX(x)))0 )
+#else
+#define __RETCAST(x)
+#endif
+
+#define __tg_real(fun, x) (__RETCAST(x)( \
__FLT(x) ? fun ## f (x) : \
__LDBL(x) ? fun ## l (x) : \
- fun(x) )
+ fun(x) ))
-#define __tg_real_2_1(fun, x, y) __RETCAST((x)+1.0)( \
+#define __tg_real_2_1(fun, x, y) (__RETCAST(x)( \
__FLT(x) ? fun ## f (x, y) : \
__LDBL(x) ? fun ## l (x, y) : \
- fun(x, y) )
+ fun(x, y) ))
-#define __tg_real_2(fun, x, y) __RETCAST((x)+(y)+1.0)( \
+#define __tg_real_2(fun, x, y) (__RETCAST((x)+(y))( \
__FLT(x) && __FLT(y) ? fun ## f (x, y) : \
__LDBL(x) || __LDBL(y) ? fun ## l (x, y) : \
- fun(x, y) )
+ fun(x, y) ))
+
+#define __tg_complex(fun, x) (__RETCAST((x)+I)( \
+ __FLTCX(x) || __FLT(x) ? fun ## f (x) : \
+ __LDBLCX(x) || __LDBL(x) ? fun ## l (x) : \
+ fun(x) ))
-#define __tg_complex(fun, x) __RETCAST((x)+1.0+I)( \
+#define __tg_complex_retreal(fun, x) (__RETCAST(__TO_REAL(x))( \
__FLTCX(x) || __FLT(x) ? fun ## f (x) : \
__LDBLCX(x) || __LDBL(x) ? fun ## l (x) : \
- fun(x) )
+ fun(x) ))
-#define __tg_real_complex(fun, x) __RETCAST((x)+1.0)( \
+#define __tg_real_complex(fun, x) (__RETCAST(x)( \
__LDBLCX(x) ? c ## fun ## l (x) : \
__DBLCX(x) ? c ## fun (x) : \
__FLTCX(x) ? c ## fun ## f (x) : \
__FLT(x) ? fun ## f (x) : \
__LDBL(x) ? fun ## l (x) : \
- fun(x) )
+ fun(x) ))
/* special cases */
-#define __tg_real_remquo(x, y, z) __RETCAST((x)+(y)+1.0)( \
+#define __tg_real_remquo(x, y, z) (__RETCAST((x)+(y))( \
__FLT(x) && __FLT(y) ? remquof(x, y, z) : \
__LDBL(x) || __LDBL(y) ? remquol(x, y, z) : \
- remquo(x, y, z) )
+ remquo(x, y, z) ))
-#define __tg_real_fma(x, y, z) __RETCAST((x)+(y)+(z)+1.0)( \
+#define __tg_real_fma(x, y, z) (__RETCAST((x)+(y)+(z))( \
__FLT(x) && __FLT(y) && __FLT(z) ? fmaf(x, y, z) : \
__LDBL(x) || __LDBL(y) || __LDBL(z) ? fmal(x, y, z) : \
- fma(x, y, z) )
+ fma(x, y, z) ))
-#define __tg_real_complex_pow(x, y) __RETCAST((x)+(y)+1.0)( \
+#define __tg_real_complex_pow(x, y) (__RETCAST((x)+(y))( \
__LDBLCX(x) || __LDBLCX(y) ? cpowl(x, y) : \
__DBLCX(x) || __DBLCX(y) ? cpow(x, y) : \
__FLTCX(x) || __FLTCX(y) ? cpowf(x, y) : \
- __tg_real_2(pow, x, y) )
+ __tg_real_2(pow, x, y) ))
-#define __tg_real_complex_fabs(x) __RETCAST((x)+1.0)( \
+#define __tg_real_complex_fabs(x) (__RETCAST(__TO_REAL(x))( \
__LDBLCX(x) ? cabsl(x) : \
__DBLCX(x) ? cabs(x) : \
__FLTCX(x) ? cabsf(x) : \
- __tg_real(fabs, x) )
+ __tg_real(fabs, x) ))
/* tg functions */
#define atan(x) __tg_real_complex(atan, (x))
#define atan2(x,y) __tg_real_2(atan2, (x), (y))
#define atanh(x) __tg_real_complex(atanh, (x))
-#define carg(x) __tg_complex(carg, (x))
+#define carg(x) __tg_complex_retreal(carg, (x))
#define cbrt(x) __tg_real(cbrt, (x))
#define ceil(x) __tg_real(ceil, (x))
-#define cimag(x) __tg_complex(cimag, (x))
+#define cimag(x) __tg_complex_retreal(cimag, (x))
#define conj(x) __tg_complex(conj, (x))
#define copysign(x,y) __tg_real_2(copysign, (x), (y))
#define cos(x) __tg_real_complex(cos, (x))
#define cosh(x) __tg_real_complex(cosh, (x))
#define cproj(x) __tg_complex(cproj, (x))
-#define creal(x) __tg_complex(creal, (x))
+#define creal(x) __tg_complex_retreal(creal, (x))
#define erf(x) __tg_real(erf, (x))
#define erfc(x) __tg_real(erfc, (x))
#define exp(x) __tg_real_complex(exp, (x))