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<tgmath.h>(0P) POSIX Programmer's Manual <tgmath.h>(0P)
NAME
tgmath.h - type-generic macros
SYNOPSIS
#include <tgmath.h>
DESCRIPTION
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 an f ( float) or l ( long double) suffix,
several have one or more parameters whose corresponding real type is double. For each such function, except modf(), there
shall be a corresponding type-generic macro. The parameters whose corresponding real type is double in the function syn-
opsis 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 is long double.
* Otherwise, if any argument for generic parameters has type double or is of integer type, the type determined is dou-
ble.
* 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 a c prefix, 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 for fabs() and cabs() is fabs().
<math.h> <complex.h> Type-Generic
Function Function 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 a c-prefixed counterpart in the <complex.h> header, the cor-
responding type-generic macro has the same name as the function. These type-generic macros are:
atan2() fma() llround() remainder()
cbrt() fmax() log10() remquo()
ceil() fmin() log1p() rint()
copysign() fmod() log2() round()
erf() frexp() logb() scalbn()
erfc() hypot() lrint() scalbln()
exp2() ilogb() lround() tgamma()
expm1() ldexp() nearbyint() trunc()
fdim() lgamma() nextafter()
floor() llrint() nexttoward()
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 a c-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.
The following sections are informative.
APPLICATION USAGE
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)
RATIONALE
Type-generic macros allow calling a function whose type is determined by the argument type, as is the case for C opera-
tors such as '+' and '*' . For example, with a type-generic cos() macro, the expression cos(( float) x) will have type
float. 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 dou-
ble in the synopsis. Hence the type of a type-generic call to nexttoward(), whose second parameter is long double in 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 IEEE Std 1003.1-2001 specifies only
for real arguments with the ability to invoke the complex functions.
IEEE Std 1003.1-2001 does not prescribe any particular implementation mechanism for generic macros. It could be imple-
mented 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()
for remquo(). However, these facilities would have complicated the specification; and their natural consistent use, such
as for a floating abs() or a two-argument atan(), 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.
FUTURE DIRECTIONS
None.
SEE ALSO
<math.h>, <complex.h>, the System Interfaces volume of IEEE Std 1003.1-2001, cabs(), fabs(), modf()
COPYRIGHT
Portions of this text are reprinted and reproduced in electronic form from IEEE Std 1003.1, 2003 Edition, Standard for
Information Technology -- Portable Operating System Interface (POSIX), The Open Group Base Specifications Issue 6, Copy-
right (C) 2001-2003 by the Institute of Electrical and Electronics Engineers, Inc and The Open Group. In the event of any
discrepancy between this version and the original IEEE and The Open Group Standard, the original IEEE and The Open Group
Standard is the referee document. The original Standard can be obtained online at http://www.open-
group.org/unix/online.html .
IEEE/The Open Group 2003 <tgmath.h>(0P)
