diff options
Diffstat (limited to 'math/tgmath.h')
| -rw-r--r-- | math/tgmath.h | 312 |
1 files changed, 312 insertions, 0 deletions
diff --git a/math/tgmath.h b/math/tgmath.h new file mode 100644 index 0000000000..4c7d957b37 --- /dev/null +++ b/math/tgmath.h @@ -0,0 +1,312 @@ +/* Copyright (C) 1997 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Library General Public License as + published by the Free Software Foundation; either version 2 of the + License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Library General Public License for more details. + + You should have received a copy of the GNU Library General Public + License along with the GNU C Library; see the file COPYING.LIB. If not, + write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, + Boston, MA 02111-1307, USA. */ + +/* + * ISO C 9X Standard: 7.9 Type-generic math <tgmath.h> + */ + +#ifndef _TGMATH_H +#define _TGMATH_H 1 + +/* Include the needed headers. */ +#include <math.h> +#include <complex.h> + + +/* Since `complex' is currently not really implemented in most C compilers + and if it is implemented, the implementations differ. This makes it + quite difficult to write a generic implementation of this header. We + do not try this for now and instead concentrate only on GNU CC. Once + we have more information support for other compilers might follow. */ + +#if defined __GNUC__ && (__GNUC__ > 2 || __GNUC__ == 2 && __GNUC_MINOR__ >= 7) + +/* We have two kinds of generic macros: to support functions which are + only defined on real valued parameters and those which are defined + for complex functions as well. */ +# define __TGMATH_UNARY_REAL_ONLY(Val, Fct) \ + (__extension__ (sizeof (__real__ (Val)) == sizeof (long double) \ + ? Fct##l (Val) \ + : (sizeof (__real__ (Val)) == sizeof (double) \ + ? Fct (Val) \ + : Fct##f (Val)))) + +# define __TGMATH_BINARY_FIRST_REAL_ONLY(Val1, Val2, Fct) \ + (__extension__ (sizeof (__real__ (Val1)) == sizeof (long double) \ + ? Fct##l (Val1, Val2) \ + : (sizeof (__real__ (Val1)) == sizeof (double) \ + ? Fct (Val1, Val2) \ + : Fct##f (Val1, Val2)))) + +# define __TGMATH_BINARY_REAL_ONLY(Val1, Val2, Fct) \ + (__extension__ (sizeof (Val1) == sizeof (long double) \ + || sizeof (Val2) == sizeof (long double) \ + ? Fct##l (Val1, Val2) \ + : (sizeof (Val1) == sizeof (double) \ + || sizeof (Val2) == sizeof (double) \ + ? Fct (Val1, Val2) \ + : Fct##f (Val1, Val2)))) + +# define __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY(Val1, Val2, Val3, Fct) \ + (__extension__ (sizeof (Val1) == sizeof (long double) \ + || sizeof (Val2) == sizeof (long double) \ + ? Fct##l (Val1, Val2, Val3) \ + : (sizeof (Val1) == sizeof (double) \ + || sizeof (Val2) == sizeof (double) \ + ? Fct (Val1, Val2, Val3) \ + : Fct##f (Val1, Val2, Val3)))) + +# define __TGMATH_UNARY_REAL_IMAG(Val, Fct, Cfct) \ + (__extension__ (sizeof (__real__ (Val)) == sizeof (long double) \ + ? (sizeof (__real__ (Val)) == sizeof (Val) \ + ? Fct##l (Val) \ + : Cfct##l (Val)) \ + : (sizeof (__real__ (Val)) == sizeof (double) \ + ? (sizeof (__real__ (Val)) == sizeof (Val) \ + ? Fct (Val) \ + : Cfct (Val)) \ + : (sizeof (__real__ (Val)) == sizeof (Val) \ + ? Fct##f (Val) \ + : Cfct##f (Val))))) + +# define __TGMATH_UNARY_IMAG_ONLY(Val, Fct) \ + (__extension__ (sizeof (Val) == sizeof (__complex__ long double) \ + ? Fct##l (Val) \ + : (sizeof (Val) == sizeof (__complex__ double) \ + ? Fct (Val) \ + : Fct##f (Val)))) + +# define __TGMATH_BINARY_REAL_IMAG(Val1, Val2, Fct, Cfct) \ + (__extension__ (sizeof (__real__ (Val1)) == sizeof (long double) \ + || sizeof (__real__ (Val2)) == sizeof (long double) \ + ? (sizeof (__real__ (Val1)) == sizeof (Val1) \ + && sizeof (__real__ (Val2)) == sizeof (Val2) \ + ? Fct##l (Val1, Val2) \ + : Cfct##l (Val1, Val2)) \ + : (sizeof (__real__ (Val1)) == sizeof (double) \ + || sizeof (__real__ (Val2)) == sizeof (double) \ + ? (sizeof (__real__ (Val1)) == sizeof (Val1) \ + && sizeof (__real__ (Val2)) == sizeof (Val2) \ + ? Fct (Val1, Val2) \ + : Cfct (Val1, Val2)) \ + : (sizeof (__real__ (Val1)) == sizeof (Val1) \ + && sizeof (__real__ (Val2)) == sizeof (Val2) \ + ? Fct##f (Val1, Val2) \ + : Cfct##f (Val1, Val2))))) +#else +# error "Unsupported compiler; you cannot use <tgmath.h>" +#endif + + +/* Unary functions defined for real and complex values. */ + + +/* Trigonometric functions. */ + +/* Arc cosine of X. */ +#define acos(Val) __TGMATH_UNARY_REAL_IMAG (Val, acos, cacos) +/* Arc sine of X. */ +#define asin(Val) __TGMATH_UNARY_REAL_IMAG (Val, asin, casin) +/* Arc tangent of X. */ +#define atan(Val) __TGMATH_UNARY_REAL_IMAG (Val, atan, catan) +/* Arc tangent of Y/X. */ +#define atan2(Val) __TGMATH_UNARY_REAL_ONLY (Val, atan2) + +/* Cosine of X. */ +#define cos(Val) __TGMATH_UNARY_REAL_IMAG (Val, cos, ccos) +/* Sine of X. */ +#define sin(Val) __TGMATH_UNARY_REAL_IMAG (Val, sin, csin) +/* Tangent of X. */ +#define tan(Val) __TGMATH_UNARY_REAL_IMAG (Val, tan, ctan) + + +/* Hyperbolic functions. */ + +/* Hyperbolic arc cosine of X. */ +#define acosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, acosh, cacosh) +/* Hyperbolic arc sine of X. */ +#define asinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, asinh, casinh) +/* Hyperbolic arc tangent of X. */ +#define atanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, atanh, catanh) + +/* Hyperbolic cosine of X. */ +#define cosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, cosh, ccosh) +/* Hyperbolic sine of X. */ +#define sinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, sinh, csinh) +/* Hyperbolic tangent of X. */ +#define tanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, tanh, ctanh) + + +/* Exponential and logarithmic functions. */ + +/* Exponential function of X. */ +#define exp(Val) __TGMATH_UNARY_REAL_IMAG (Val, exp, cexp) + +/* Break VALUE into a normalized fraction and an integral power of 2. */ +#define frexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, frexp) + +/* X times (two to the EXP power). */ +#define ldexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, ldexp) + +/* Natural logarithm of X. */ +#define log(Val) __TGMATH_UNARY_REAL_IMAG (Val, log, clog) + +/* Base-ten logarithm of X. */ +#define log10(Val) __TGMATH_UNARY_REAL_IMAG (Val, log10, __clog10) + +/* Return exp(X) - 1. */ +#define expm1(Val) __TGMATH_UNARY_REAL_ONLY (Val, expm1) + +/* Return log(1 + X). */ +#define log1p(Val) __TGMATH_UNARY_REAL_ONLY (Val, log1p) + +/* Return the base 2 signed integral exponent of X. */ +#define logb(Val) __TGMATH_UNARY_REAL_ONLY (Val, logb) + +/* Compute base-2 exponential of X. */ +#define exp2(Val) __TGMATH_UNARY_REAL_ONLY (Val, exp2) + +/* Compute base-2 logarithm of X. */ +#define log2(Val) __TGMATH_UNARY_REAL_ONLY (Val, log2) + + +/* Power functions. */ + +/* Return X to the Y power. */ +#define pow(Val1, Val2) __TGMATH_BINARY_REAL_IMAG (Val1, Val2, pow, cpow) + +/* Return the square root of X. */ +#define sqrt(Val) __TGMATH_UNARY_REAL_IMAG (Val, sqrt, csqrt) + +/* Return `sqrt(X*X + Y*Y)'. */ +#define hypot(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, hypot) + +/* Return the cube root of X. */ +#define cbrt(Val) __TGMATH_UNARY_REAL_ONLY (Val, cbrt) + + +/* Nearest integer, absolute value, and remainder functions. */ + +/* Smallest integral value not less than X. */ +#define ceil(Val) __TGMATH_UNARY_REAL_ONLY (Val, ceil) + +/* Absolute value of X. */ +#define fabs(Val) __TGMATH_UNARY_REAL_IMAG (Val, fabs, cabs) + +/* Largest integer not greater than X. */ +#define floor(Val) __TGMATH_UNARY_REAL_ONLY (Val, floor) + +/* Floating-point modulo remainder of X/Y. */ +#define fmod(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmod) + +/* Round X to integral valuein floating-point format using current + rounding direction, but do not raise inexact exception. */ +#define nearbyint(Val) __TGMATH_UNARY_REAL_ONLY (Val, nearbyint) + +/* Round X to nearest integral value, rounding halfway cases away from + zero. */ +#define round(Val) __TGMATH_UNARY_REAL_ONLY (Val, round) + +/* Round X to the integral value in floating-point format nearest but + not larger in magnitude. */ +#define trunc(Val) __TGMATH_UNARY_REAL_ONLY (Val, trunc) + +/* Compute remainder of X and Y and put in *QUO a value with sign of x/y + and magnitude congruent `mod 2^n' to the magnitude of the integral + quotient x/y, with n >= 3. */ +#define remquo(Val1, Val2, Val3) \ + __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY (Val1, Val2, Val3, remquo) + +/* Round X to nearest integral value according to current rounding + direction. */ +#define lrint(Val) __TGMATH_UNARY_REAL_ONLY (Val, lrint) +#define llrint(Val) __TGMATH_UNARY_REAL_ONLY (Val, llrint) + +/* Round X to nearest integral value, rounding halfway cases away from + zero. */ +#define lround(Val) __TGMATH_UNARY_REAL_ONLY (Val, lround) +#define llround(Val) __TGMATH_UNARY_REAL_ONLY (Val, llround) + + +/* Return X with its signed changed to Y's. */ +#define copysign(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, copysign) + +/* Error and gamma functions. */ +#define erf(Val) __TGMATH_UNARY_REAL_ONLY (Val, erf) +#define erfc(Val) __TGMATH_UNARY_REAL_ONLY (Val, erfc) +#define gamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, gamma) +#define lgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, lgamma) + + +/* Return the integer nearest X in the direction of the + prevailing rounding mode. */ +#define rint(Val) __TGMATH_UNARY_REAL_ONLY (Val, rint) + +/* Return X + epsilon if X < Y, X - epsilon if X > Y. */ +#define nextafter(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, nextafter) +#define nextafterx(Val1, Val2) \ + __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, nextafterx) + +/* Return the remainder of integer divison X / Y with infinite precision. */ +#define remainder(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, remainder) + +/* Return X times (2 to the Nth power). */ +#define scalb(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, scalb) + +/* Return X times (2 to the Nth power). */ +#define scalbn(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbn) + +/* Return X times (2 to the Nth power). */ +#define scalbln(Val1, Val2) \ + __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbln) + +/* Return the binary exponent of X, which must be nonzero. */ +#define ilogb(Val) __TGMATH_UNARY_REAL_ONLY (Val, ilogb) + + +/* Return positive difference between X and Y. */ +#define fdim(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fdim) + +/* Return maximum numeric value from X and Y. */ +#define fmax(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmax) + +/* Return minimum numeric value from X and Y. */ +#define fmin(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmin) + + +/* Absolute value, conjugates, and projection. */ + +/* Argument value of Z. */ +#define carg(Val) __TGMATH_UNARY_IMAG_ONLY (Val, carg) + +/* Complex conjugate of Z. */ +#define conj(Val) __TGMATH_UNARY_IMAG_ONLY (Val, conj) + +/* Projection of Z onto the Riemann sphere. */ +#define cproj(Val) __TGMATH_UNARY_IMAG_ONLY (Val, cproj) + + +/* Decomposing complex values. */ + +/* Imaginary part of Z. */ +#define cimag(Val) __TGMATH_UNARY_IMAG_ONLY (Val, cimag) + +/* Real part of Z. */ +#define creal(Val) __TGMATH_UNARY_IMAG_ONLY (Val, creal) + +#endif /* tgmath.h */ |