diff --git a/include/tgmath.h b/include/tgmath.h index 832b052b..25ad0071 100644 --- a/include/tgmath.h +++ b/include/tgmath.h @@ -27,34 +27,67 @@ sizeof(double) == sizeof(long double) /* return type */ #ifdef __GNUC__ +/* +the conditional expression (that selects the right function +for evaluation) should be casted to the return type of the +selected function (otherwise the result type is determined +by the conversion rules applied to all the function return +types so it is long double or long double _Complex) + +this cannot be done in c99 (c11 has _Generic that would help +but is not yet widely supported), so the typeof extension of +gcc is used and that ?: has special semantics when one of +the operands is a null pointer constant + +unfortunately the standard is overly strict about the +definition of null pointer constants (current gcc does not +follow the standard but clang does) so we have to use a hack +to be able to tell integer and floating-point types apart: +both gcc and clang evaluate sizeof(void) to 1 even though it +is a constraint violation, we only use this on clang for now +*/ +/* predicates that evaluate to integer constant expressions */ +#ifdef __clang__ +/* TODO: __c_IS_FP(1.0) is a constraint violation */ +#define __c_IS_FP(x) (!(sizeof*(__typeof__(0?(int*)0:(void*)__IS_FP(x)))0-1)) +#else +#define __c_IS_FP(x) __IS_FP(x) +#endif +#define __c_IS_CX(x) (__c_IS_FP(x) && sizeof(x) == sizeof((x)+I)) +#define __c_FLTCX(x) (__c_IS_CX(x) && sizeof(x) == sizeof(float complex)) +#define __c_DBLCX(x) (__c_IS_CX(x) && sizeof(x) == sizeof(double complex)) +#define __c_LDBLCX(x) (__c_IS_CX(x) && sizeof(x) == sizeof(long double complex) && sizeof(long double) != sizeof(double)) +/* if c then t else void */ +#define __type1(c,t) __typeof__(*(0?(t*)0:(void*)!(c))) +/* if c then t1 else t2 */ +#define __type2(c,t1,t2) __typeof__(*(0?(__type1(c,t1)*)0:(__type1(!(c),t2)*)0)) /* cast to double when x is integral, otherwise use typeof(x) */ -#define __RETCAST(x) (__typeof__(*( \ - 0 ? (__typeof__(0 ? (double *)0 : (void *)__IS_FP(x)))0 : \ - (__typeof__(0 ? (__typeof__(x) *)0 : (void *)!__IS_FP(x)))0 ))) -/* 2 args case, consider complex types (for cpow) */ -#define __RETCAST_2(x, y) (__typeof__(*( \ - 0 ? (__typeof__(0 ? (double *)0 : \ - (void *)!((!__IS_FP(x) || !__IS_FP(y)) && __FLT((x)+(y)+1.0f))))0 : \ - 0 ? (__typeof__(0 ? (double complex *)0 : \ - (void *)!((!__IS_FP(x) || !__IS_FP(y)) && __FLTCX((x)+(y)))))0 : \ - (__typeof__(0 ? (__typeof__((x)+(y)) *)0 : \ - (void *)((!__IS_FP(x) || !__IS_FP(y)) && (__FLT((x)+(y)+1.0f) || __FLTCX((x)+(y))))))0 ))) -/* 3 args case, don't consider complex types (fma only) */ -#define __RETCAST_3(x, y, z) (__typeof__(*( \ - 0 ? (__typeof__(0 ? (double *)0 : \ - (void *)!((!__IS_FP(x) || !__IS_FP(y) || !__IS_FP(z)) && __FLT((x)+(y)+(z)+1.0f))))0 : \ - (__typeof__(0 ? (__typeof__((x)+(y)) *)0 : \ - (void *)((!__IS_FP(x) || !__IS_FP(y) || !__IS_FP(z)) && __FLT((x)+(y)+(z)+1.0f))))0 ))) +#define __RETCAST(x) ( \ + __type2(__c_IS_FP(x), __typeof__(x), double)) +/* 2 args case, should work for complex types (cpow) */ +#define __RETCAST_2(x, y) ( \ + __type2(__c_IS_FP(x) && __c_IS_FP(y), \ + __typeof__((x)+(y)), \ + __typeof__((x)+(y)+1.0))) +/* 3 args case (fma only) */ +#define __RETCAST_3(x, y, z) ( \ + __type2(__c_IS_FP(x) && __c_IS_FP(y) && __c_IS_FP(z), \ + __typeof__((x)+(y)+(z)), \ + __typeof__((x)+(y)+(z)+1.0))) /* 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 ) +/* TODO: wrong when sizeof(long double)==sizeof(double) */ +#define __RETCAST_REAL(x) ( \ + __type2(sizeof(__RETCAST(x)0+I)==sizeof(float complex), float, \ + __type2(sizeof(__RETCAST(x)0+I)==sizeof(double complex), double, \ + long double))) +/* add complex to the type of x */ +#define __RETCAST_CX(x) (__typeof__(__RETCAST(x)0+I)) #else #define __RETCAST(x) #define __RETCAST_2(x, y) #define __RETCAST_3(x, y, z) +#define __RETCAST_REAL(x) +#define __RETCAST_CX(x) #endif /* function selection */ @@ -76,12 +109,12 @@ sizeof(double) == sizeof(long double) __LDBL((x)+(y)) ? fun ## l (x, y) : \ fun(x, y) )) -#define __tg_complex(fun, x) (__RETCAST((x)+I)( \ +#define __tg_complex(fun, x) (__RETCAST_CX(x)( \ __FLTCX((x)+I) && __IS_FP(x) ? fun ## f (x) : \ __LDBLCX((x)+I) ? fun ## l (x) : \ fun(x) )) -#define __tg_complex_retreal(fun, x) (__RETCAST(__TO_REAL(x))( \ +#define __tg_complex_retreal(fun, x) (__RETCAST_REAL(x)( \ __FLTCX((x)+I) && __IS_FP(x) ? fun ## f (x) : \ __LDBLCX((x)+I) ? fun ## l (x) : \ fun(x) )) @@ -115,7 +148,7 @@ sizeof(double) == sizeof(long double) __LDBL((x)+(y)) ? powl(x, y) : \ pow(x, y) )) -#define __tg_real_complex_fabs(x) (__RETCAST(__TO_REAL(x))( \ +#define __tg_real_complex_fabs(x) (__RETCAST_REAL(x)( \ __FLTCX(x) ? cabsf(x) : \ __DBLCX(x) ? cabs(x) : \ __LDBLCX(x) ? cabsl(x) : \