IEEE Std 1003.1, 2013 Edition

Copyright © 2001-2013 The IEEE and The Open Group

tgmath.h - type-generic macros

#include <tgmath.h>

^{[CX]}The functionality described on this reference page is aligned with the ISO C standard. Any conflict between the requirements described here and the ISO C standard is unintentional. This volume of POSIX.1-2008 defers to the ISO C standard.The

<tgmath.h>header shall include the headers<math.h>and<complex.h>and shall define several type-generic macros.Of the functions contained within the

<math.h>and<complex.h>headers without anf(float) orl(long double) suffix, several have one or more parameters whose corresponding real type isdouble. For each such function, exceptmodf(),^{[XSI]}j0(),j1(),jn(),y0(),y1(), andyn(), there shall be a corresponding type-generic macro. The parameters whose corresponding real type isdoublein the function synopsis are generic parameters. Use of the macro invokes a function whose corresponding real type and type domain are determined by the arguments for the generic parameters.Use of the macro invokes a function whose generic parameters have the corresponding real type determined as follows:

First, if any argument for generic parameters has type

long double, the type determined islong double.Otherwise, if any argument for generic parameters has type

doubleor is of integer type, the type determined isdouble.Otherwise, the type determined is

float.For each unsuffixed function in the

<math.h>header for which there is a function in the<complex.h>header with the same name except for acprefix, the corresponding type-generic macro (for both functions) has the same name as the function in the<math.h>header. The corresponding type-generic macro forfabs() andcabs() isfabs().

<math.h> Function

<complex.h> Function

Type-Generic Macro

acos()

cacos()

acos()

asin()

casin()

asin()

atan()

catan()

atan()

acosh()

cacosh()

acosh()

asinh()

casinh()

asinh()

atanh()

catanh()

atanh()

cos()

ccos()

cos()

sin()

csin()

sin()

tan()

ctan()

tan()

cosh()

ccosh()

cosh()

sinh()

csinh()

sinh()

tanh()

ctanh()

tanh()

exp()

cexp()

exp()

log()

clog()

log()

pow()

cpow()

pow()

sqrt()

csqrt()

sqrt()

fabs()

cabs()

fabs()If at least one argument for a generic parameter is complex, then use of the macro invokes a complex function; otherwise, use of the macro invokes a real function.

For each unsuffixed function in the

<math.h>header without ac-prefixed counterpart in the<complex.h>header, except formodf(),^{[XSI]}j0(),j1(),jn(),y0(),y1(), andyn(), the corresponding type-generic macro has the same name as the function. These type-generic macros are:If all arguments for generic parameters are real, then use of the macro invokes a real function; otherwise, use of the macro results in undefined behavior.

For each unsuffixed function in the

<complex.h>header that is not ac-prefixed counterpart to a function in the<math.h>header, the corresponding type-generic macro has the same name as the function. These type-generic macros are:carg()cimag()conj()cproj()creal()Use of the macro with any real or complex argument invokes a complex function.

With the declarations:

#include <tgmath.h> int n; float f; double d; long double ld; float complex fc; double complex dc; long double complex ldc;functions invoked by use of type-generic macros are shown in the following table:

Macro

Use Invokes

exp(n)

exp(n), the function

acosh(f)

acoshf(f)

sin(d)

sin(d), the function

atan(ld)

atanl(ld)

log(fc)

clogf(fc)

sqrt(dc)

csqrt(dc)

pow(ldc,f)

cpowl(ldc, f)

remainder(n,n)

remainder(n, n), the function

nextafter(d,f)

nextafter(d, f), the function

nexttoward(f,ld)

nexttowardf(f, ld)

copysign(n,ld)

copysignl(n, ld)

ceil(fc)Undefined behavior

rint(dc)Undefined behavior

fmax(ldc,ld)Undefined behavior

carg(n)

carg(n), the function

cproj(f)

cprojf(f)

creal(d)

creal(d), the function

cimag(ld)

cimagl(ld)

cabs(fc)

cabsf(fc)

carg(dc)

carg(dc), the function

cproj(ldc)

cprojl(ldc)

Type-generic macros allow calling a function whose type is determined by the argument type, as is the case for C operators such as

'+'and'*'. For example, with a type-genericcos() macro, the expressioncos((float)x) will have typefloat. This feature enables writing more portably efficient code and alleviates need for awkward casting and suffixing in the process of porting or adjusting precision. Generic math functions are a widely appreciated feature of Fortran.The only arguments that affect the type resolution are the arguments corresponding to the parameters that have type

doublein the synopsis. Hence the type of a type-generic call tonexttoward(), whose second parameter islong doublein the synopsis, is determined solely by the type of the first argument.The term "type-generic" was chosen over the proposed alternatives of intrinsic and overloading. The term is more specific than intrinsic, which already is widely used with a more general meaning, and reflects a closer match to Fortran's generic functions than to C++ overloading.

The macros are placed in their own header in order not to silently break old programs that include the

<math.h>header; for example, with:printf ("%e", sin(x))

modf(double,double *) is excluded because no way was seen to make it safe without complicating the type resolution.The implementation might, as an extension, endow appropriate ones of the macros that POSIX.1-2008 specifies only for real arguments with the ability to invoke the complex functions.

POSIX.1-2008 does not prescribe any particular implementation mechanism for generic macros. It could be implemented simply with built-in macros. The generic macro for

sqrt(), for example, could be implemented with:#undef sqrt #define sqrt(x) __BUILTIN_GENERIC_sqrt(x)Generic macros are designed for a useful level of consistency with C++ overloaded math functions.

The great majority of existing C programs are expected to be unaffected when the

<tgmath.h>header is included instead of the<math.h>or<complex.h>headers. Generic macros are similar to the ISO/IEC 9899:1999 standard library masking macros, though the semantic types of return values differ.The ability to overload on integer as well as floating types would have been useful for some functions; for example,

copysign(). Overloading with different numbers of arguments would have allowed reusing names; for example,remainder() forremquo(). However, these facilities would have complicated the specification; and their natural consistent use, such as for a floatingabs() or a two-argumentatan(), would have introduced further inconsistencies with the ISO/IEC 9899:1999 standard for insufficient benefit.The ISO C standard in no way limits the implementation's options for efficiency, including inlining library functions.

None.

First released in Issue 6. Included for alignment with the ISO/IEC 9899:1999 standard.

Austin Group Interpretation 1003.1-2001 #184 is applied, clarifying the functions for which a corresponding type-generic macro exists with the same name as the function.

POSIX.1-2008, Technical Corrigendum 1, XBD/TC1-2008/0075 [357,427] is applied.

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