| #ifndef _TGMATH_H |
| #define _TGMATH_H |
| |
| /* |
| 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) && 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) (__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) (__RETCAST_3(x, y, z)( \ |
| __FLT(x) && __FLT(y) && __FLT(z) ? fmaf(x, y, z) : \ |
| __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) : \ |
| __DBLCX(x) ? cabs(x) : \ |
| __LDBLCX(x) ? cabsl(x) : \ |
| __FLT(x) ? fabsf(x) : \ |
| __LDBL(x) ? fabsl(x) : \ |
| fabs(x) )) |
| |
| /* suppress any macros in math.h or complex.h */ |
| |
| #undef acos |
| #undef acosh |
| #undef asin |
| #undef asinh |
| #undef atan |
| #undef atan2 |
| #undef atanh |
| #undef carg |
| #undef cbrt |
| #undef ceil |
| #undef cimag |
| #undef conj |
| #undef copysign |
| #undef cos |
| #undef cosh |
| #undef cproj |
| #undef creal |
| #undef erf |
| #undef erfc |
| #undef exp |
| #undef exp2 |
| #undef expm1 |
| #undef fabs |
| #undef fdim |
| #undef floor |
| #undef fma |
| #undef fmax |
| #undef fmin |
| #undef fmod |
| #undef frexp |
| #undef hypot |
| #undef ilogb |
| #undef ldexp |
| #undef lgamma |
| #undef llrint |
| #undef llround |
| #undef log |
| #undef log10 |
| #undef log1p |
| #undef log2 |
| #undef logb |
| #undef lrint |
| #undef lround |
| #undef nearbyint |
| #undef nextafter |
| #undef nexttoward |
| #undef pow |
| #undef remainder |
| #undef remquo |
| #undef rint |
| #undef round |
| #undef scalbln |
| #undef scalbn |
| #undef sin |
| #undef sinh |
| #undef sqrt |
| #undef tan |
| #undef tanh |
| #undef tgamma |
| #undef trunc |
| |
| /* tg functions */ |
| |
| #define acos(x) __tg_real_complex(acos, (x)) |
| #define acosh(x) __tg_real_complex(acosh, (x)) |
| #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,y) __tg_real_2(atan2, (x), (y)) |
| #define atanh(x) __tg_real_complex(atanh, (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_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_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,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)) |
| #define fmin(x,y) __tg_real_2(fmin, (x), (y)) |
| #define fmod(x,y) __tg_real_2(fmod, (x), (y)) |
| #define frexp(x,y) __tg_real_2_1(frexp, (x), (y)) |
| #define hypot(x,y) __tg_real_2(hypot, (x), (y)) |
| #define ilogb(x) __tg_real(ilogb, (x)) |
| #define ldexp(x,y) __tg_real_2_1(ldexp, (x), (y)) |
| #define lgamma(x) __tg_real(lgamma, (x)) |
| #define llrint(x) __tg_real(llrint, (x)) |
| #define llround(x) __tg_real(llround, (x)) |
| #define log(x) __tg_real_complex(log, (x)) |
| #define log10(x) __tg_real(log10, (x)) |
| #define log1p(x) __tg_real(log1p, (x)) |
| #define log2(x) __tg_real(log2, (x)) |
| #define logb(x) __tg_real(logb, (x)) |
| #define lrint(x) __tg_real(lrint, (x)) |
| #define lround(x) __tg_real(lround, (x)) |
| #define nearbyint(x) __tg_real(nearbyint, (x)) |
| #define nextafter(x,y) __tg_real_2(nextafter, (x), (y) |
| #define nexttoward(x,y) __tg_real_2(nexttoward, (x), (y)) |
| #define pow(x,y) __tg_real_complex_pow((x), (y)) |
| #define remainder(x,y) __tg_real_2(remainder, (x), (y)) |
| #define remquo(x,y,z) __tg_real_remquo((x), (y), (z)) |
| #define rint(x) __tg_real(rint, (x)) |
| #define round(x) __tg_real(round, (x)) |
| #define scalbln(x,y) __tg_real_2_1(scalbln, (x), (y)) |
| #define scalbn(x,y) __tg_real_2_1(scalbn, (x), (y)) |
| #define sin(x) __tg_real_complex(sin, (x)) |
| #define sinh(x) __tg_real_complex(sinh, (x)) |
| #define sqrt(x) __tg_real_complex(sqrt, (x)) |
| #define tan(x) __tg_real_complex(tan, (x)) |
| #define tanh(x) __tg_real_complex(tanh, (x)) |
| #define tgamma(x) __tg_real(tgamma, (x)) |
| #define trunc(x) __tg_real(trunc, (x)) |
| |
| #endif |