#define _TGMATH_H
/*
-tgmath.h is broken: return type is wrong
-(always the highest conversion rank type: long double [complex])
-(imaginary type is not supported)
+the return types are only correct with gcc (__GNUC__)
+otherwise they are long double or long double complex
+
+the long double version of a function is never chosen when
+sizeof(double) == sizeof(long double)
+(but the return type is set correctly with gcc)
*/
#include <math.h>
#include <complex.h>
#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 __FLT(x) (__IS_REAL((x)) && sizeof((x)) == sizeof(float))
-#define __LDBL(x) (__IS_REAL((x)) && sizeof((x)) == sizeof(long double))
-
-#define __FLTCX(x) (__IS_CX(x) && sizeof((x)) == sizeof(float complex))
-#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) ( \
- __FLT(x) ? __fun ## f (x) : \
- __LDBL(x) ? __fun ## l (x) : \
- __fun(x) )
-
-#define __tg_real_2_1(__fun, x, y) ( \
- __FLT(x) ? __fun ## f (x, y) : \
- __LDBL(x) ? __fun ## l (x, y) : \
- __fun(x, y) )
-
-#define __tg_real_2(__fun, x, y) ( \
- __FLT(x) && __FLT(y) ? __fun ## f (x, y) : \
- __LDBL(x) || __LDBL(y) ? __fun ## l (x, y) : \
- __fun(x, y) )
-
-#define __tg_complex(__fun, x) ( \
- __FLTCX(x) || __FLT(x) ? __fun ## f (x) : \
- __LDBLCX(x) || __LDBL(x) ? __fun ## l (x) : \
- __fun(x) )
-
-#define __tg_real_complex(__fun, 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) )
+#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 __FLT(x) (__IS_REAL(x) && sizeof(x) == sizeof(float))
+#define __LDBL(x) (__IS_REAL(x) && sizeof(x) == sizeof(long double) && sizeof(long double) != sizeof(double))
+
+#define __FLTCX(x) (__IS_CX(x) && sizeof(x) == sizeof(float complex))
+#define __DBLCX(x) (__IS_CX(x) && sizeof(x) == sizeof(double complex))
+#define __LDBLCX(x) (__IS_CX(x) && sizeof(x) == sizeof(long double complex) && sizeof(long double) != sizeof(double))
+
+/* return type */
+
+#ifdef __GNUC__
+/* 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 )))
+/* 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)
+#define __RETCAST_2(x, y)
+#define __RETCAST_3(x, y, z)
+#endif
+
+/* function selection */
+
+#define __tg_real(fun, x) (__RETCAST(x)( \
+ __FLT(x) ? fun ## f (x) : \
+ __LDBL(x) ? fun ## l (x) : \
+ fun(x) ))
+
+#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) ))
+
+#define __tg_real_2(fun, x, y) (__RETCAST_2(x, y)( \
+ __FLT(x) && __FLT(y) ? fun ## f (x, y) : \
+ __LDBL((x)+(y)) ? fun ## l (x, y) : \
+ fun(x, y) ))
+
+#define __tg_complex(fun, x) (__RETCAST((x)+I)( \
+ __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))( \
+ __FLTCX((x)+I) && __IS_FP(x) ? fun ## f (x) : \
+ __LDBLCX((x)+I) ? fun ## l (x) : \
+ fun(x) ))
+
+#define __tg_real_complex(fun, x) (__RETCAST(x)( \
+ __FLTCX(x) ? c ## fun ## f (x) : \
+ __DBLCX(x) ? c ## fun (x) : \
+ __LDBLCX(x) ? c ## fun ## l (x) : \
+ __FLT(x) ? fun ## f (x) : \
+ __LDBL(x) ? fun ## l (x) : \
+ fun(x) ))
/* special cases */
-#define __tg_real_remquo(x, y, z) ( \
- __FLT(x) && __FLT(y) ? remquof(x, y, z) : \
- __LDBL(x) || __LDBL(y) ? remquol(x, y, z) : \
- remquo(x, y, z) )
+#define __tg_real_remquo(x, y, z) (__RETCAST_2(x, y)( \
+ __FLT(x) && __FLT(y) ? remquof(x, y, z) : \
+ __LDBL((x)+(y)) ? remquol(x, y, z) : \
+ remquo(x, y, z) ))
-#define __tg_real_fma(x, y, z) ( \
+#define __tg_real_fma(x, y, z) (__RETCAST_3(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) )
-
-#define __tg_real_complex_pow(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) )
-
-#define __tg_real_complex_fabs(__fun, x) ( \
- __LDBLCX(x) ? cabsl(x) : \
- __DBLCX(x) ? cabs(x) : \
+ __LDBL((x)+(y)+(z)) ? fmal(x, y, z) : \
+ fma(x, y, z) ))
+
+#define __tg_real_complex_pow(x, y) (__RETCAST_2(x, y)( \
+ __FLTCX((x)+(y)) && __IS_FP(x) && __IS_FP(y) ? cpowf(x, y) : \
+ __FLTCX((x)+(y)) ? cpow(x, y) : \
+ __DBLCX((x)+(y)) ? cpow(x, y) : \
+ __LDBLCX((x)+(y)) ? cpowl(x, y) : \
+ __FLT(x) && __FLT(y) ? powf(x, y) : \
+ __LDBL((x)+(y)) ? powl(x, y) : \
+ pow(x, y) ))
+
+#define __tg_real_complex_fabs(x) (__RETCAST(__TO_REAL(x))( \
__FLTCX(x) ? cabsf(x) : \
- __tg_real(fabs, x) )
+ __DBLCX(x) ? cabs(x) : \
+ __LDBLCX(x) ? cabsl(x) : \
+ __FLT(x) ? fabsf(x) : \
+ __LDBL(x) ? fabsl(x) : \
+ fabs(x) ))
/* tg functions */
#define asin(x) __tg_real_complex(asin, (x))
#define asinh(x) __tg_real_complex(asinh, (x))
#define atan(x) __tg_real_complex(atan, (x))
-#define atan2(x) __tg_real_2(atan2, (x), (y))
+#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))
#define exp2(x) __tg_real(exp2, (x))
#define expm1(x) __tg_real(expm1, (x))
#define fabs(x) __tg_real_complex_fabs(x)
-#define fdim(x) __tg_real(fdim, (x))
+#define fdim(x,y) __tg_real_2(fdim, (x), (y))
#define floor(x) __tg_real(floor, (x))
#define fma(x,y,z) __tg_real_fma((x), (y), (z))
#define fmax(x,y) __tg_real_2(fmax, (x), (y))
projects / libm / blobdiff