Fill a few little holes in the math library

1 files changed, 430 insertions, 0 deletions

diff --git a/include/tgmath.h b/include/tgmath.h
new file mode 100644
index 000000000..5fb683fef
--- /dev/null
+++ b/include/tgmath.h
@@ -0,0 +1,430 @@
+/* Copyright (C) 1997, 1998, 1999, 2000, 2001 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 Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 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
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, write to the Free
+   Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+   02111-1307 USA.  */
+
+/*
+ *	ISO C99 Standard: 7.22 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 __GNUC_PREREQ (2, 7)
+
+# ifdef __NO_LONG_DOUBLE_MATH
+#  define __tgml(fct) fct
+# else
+#  define __tgml(fct) fct ## l
+# endif
+
+/* This is ugly but unless gcc gets appropriate builtins we have to do
+   something like this.  Don't ask how it works.  */
+
+/* 1 if 'type' is a floating type, 0 if 'type' is an integer type.
+   Allows for _Bool.  Expands to an integer constant expression.  */
+# define __floating_type(type) (((type) 0.25) && ((type) 0.25 - 1))
+
+/* The tgmath real type for T, where E is 0 if T is an integer type and
+   1 for a floating type.  */
+# define __tgmath_real_type_sub(T, E) \
+  __typeof__(*(0 ? (__typeof__ (0 ? (double *) 0 : (void *) (E))) 0	      \
+		 : (__typeof__ (0 ? (T *) 0 : (void *) (!(E)))) 0))
+
+/* The tgmath real type of EXPR.  */
+# define __tgmath_real_type(expr) \
+  __tgmath_real_type_sub(__typeof__(expr), __floating_type(__typeof__(expr)))
+
+
+/* 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__ ({ __tgmath_real_type (Val) __tgmres;		      \
+		       if (sizeof (Val) == sizeof (double)		      \
+			   || __builtin_classify_type (Val) != 8)	      \
+			 __tgmres = Fct (Val);				      \
+		       else if (sizeof (Val) == sizeof (float))		      \
+			 __tgmres = Fct##f (Val);			      \
+		       else 						      \
+			 __tgmres = __tgml(Fct) (Val);			      \
+		       __tgmres; }))
+
+# define __TGMATH_BINARY_FIRST_REAL_ONLY(Val1, Val2, Fct) \
+     (__extension__ ({ __tgmath_real_type (Val1) __tgmres;		      \
+		       if (sizeof (Val1) == sizeof (double)		      \
+			   || __builtin_classify_type (Val1) != 8)	      \
+			 __tgmres = Fct (Val1, Val2);			      \
+		       else if (sizeof (Val1) == sizeof (float))	      \
+			 __tgmres = Fct##f (Val1, Val2);		      \
+		       else 						      \
+			 __tgmres = __tgml(Fct) (Val1, Val2);		      \
+		       __tgmres; }))
+
+# define __TGMATH_BINARY_REAL_ONLY(Val1, Val2, Fct) \
+     (__extension__ ({ __tgmath_real_type ((Val1) + (Val2)) __tgmres;	      \
+		       if ((sizeof (Val1) > sizeof (double)		      \
+			    || sizeof (Val2) > sizeof (double))		      \
+			   && __builtin_classify_type ((Val1) + (Val2)) == 8) \
+			 __tgmres = __tgml(Fct) (Val1, Val2);		      \
+		       else if (sizeof (Val1) == sizeof (double)	      \
+				|| sizeof (Val2) == sizeof (double)	      \
+				|| __builtin_classify_type (Val1) != 8	      \
+				|| __builtin_classify_type (Val2) != 8)	      \
+			 __tgmres = Fct (Val1, Val2);			      \
+		       else						      \
+			 __tgmres = Fct##f (Val1, Val2);		      \
+		       __tgmres; }))
+
+# define __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY(Val1, Val2, Val3, Fct) \
+     (__extension__ ({ __tgmath_real_type ((Val1) + (Val2)) __tgmres;	      \
+		       if ((sizeof (Val1) > sizeof (double)		      \
+			    || sizeof (Val2) > sizeof (double))		      \
+			   && __builtin_classify_type ((Val1) + (Val2)) == 8) \
+			 __tgmres = __tgml(Fct) (Val1, Val2, Val3);	      \
+		       else if (sizeof (Val1) == sizeof (double)	      \
+				|| sizeof (Val2) == sizeof (double)	      \
+				|| __builtin_classify_type (Val1) != 8	      \
+				|| __builtin_classify_type (Val2) != 8)	      \
+			 __tgmres = Fct (Val1, Val2, Val3);		      \
+		       else						      \
+			 __tgmres = Fct##f (Val1, Val2, Val3);		      \
+		       __tgmres; }))
+
+# define __TGMATH_TERNARY_REAL_ONLY(Val1, Val2, Val3, Fct) \
+     (__extension__ ({ __tgmath_real_type ((Val1) + (Val2) + (Val3)) __tgmres;\
+		       if ((sizeof (Val1) > sizeof (double)		      \
+			    || sizeof (Val2) > sizeof (double)		      \
+			    || sizeof (Val3) > sizeof (double))		      \
+			   && __builtin_classify_type ((Val1) + (Val2)	      \
+						       + (Val3)) == 8)	      \
+			 __tgmres = __tgml(Fct) (Val1, Val2, Val3);	      \
+		       else if (sizeof (Val1) == sizeof (double)	      \
+				|| sizeof (Val2) == sizeof (double)	      \
+				|| sizeof (Val3) == sizeof (double)	      \
+				|| __builtin_classify_type (Val1) != 8	      \
+				|| __builtin_classify_type (Val2) != 8	      \
+				|| __builtin_classify_type (Val3) != 8)	      \
+			 __tgmres = Fct (Val1, Val2, Val3);		      \
+		       else						      \
+			 __tgmres = Fct##f (Val1, Val2, Val3);		      \
+		       __tgmres; }))
+
+/* XXX This definition has to be changed as soon as the compiler understands
+   the imaginary keyword.  */
+# define __TGMATH_UNARY_REAL_IMAG(Val, Fct, Cfct) \
+     (__extension__ ({ __tgmath_real_type (Val) __tgmres;		      \
+		       if (sizeof (__real__ (Val)) > sizeof (double)	      \
+			   && __builtin_classify_type (__real__ (Val)) == 8)  \
+			 {						      \
+			   if (sizeof (__real__ (Val)) == sizeof (Val))	      \
+			     __tgmres = __tgml(Fct) (Val);		      \
+			   else						      \
+			     __tgmres = __tgml(Cfct) (Val);		      \
+			 }						      \
+		       else if (sizeof (__real__ (Val)) == sizeof (double)    \
+				|| __builtin_classify_type (__real__ (Val))   \
+				   != 8)				      \
+			 {						      \
+			   if (sizeof (__real__ (Val)) == sizeof (Val))	      \
+			     __tgmres = Fct (Val);			      \
+			   else						      \
+			     __tgmres = Cfct (Val);			      \
+			 }						      \
+		       else 						      \
+			 {						      \
+			   if (sizeof (__real__ (Val)) == sizeof (Val))	      \
+			     __tgmres = Fct##f (Val);			      \
+			   else						      \
+			     __tgmres = Cfct##f (Val);			      \
+			 }						      \
+		       __tgmres; }))
+
+/* XXX This definition has to be changed as soon as the compiler understands
+   the imaginary keyword.  */
+# define __TGMATH_UNARY_IMAG_ONLY(Val, Fct) \
+     (__extension__ ({ __tgmath_real_type (Val) __tgmres;		      \
+		       if (sizeof (Val) == sizeof (__complex__ double)	      \
+			   || __builtin_classify_type (__real__ (Val)) != 8)  \
+			 __tgmres = Fct (Val);				      \
+		       else if (sizeof (Val) == sizeof (__complex__ float))   \
+			 __tgmres = Fct##f (Val);			      \
+		       else 						      \
+			 __tgmres = __tgml(Fct) (Val);			      \
+		       __tgmres; }))
+
+/* XXX This definition has to be changed as soon as the compiler understands
+   the imaginary keyword.  */
+# define __TGMATH_BINARY_REAL_IMAG(Val1, Val2, Fct, Cfct) \
+     (__extension__ ({ __tgmath_real_type ((Val1) + (Val2)) __tgmres;	      \
+		       if ((sizeof (__real__ (Val1)) > sizeof (double)	      \
+			    || sizeof (__real__ (Val2)) > sizeof (double))    \
+			   && __builtin_classify_type (__real__ (Val1)	      \
+						       + __real__ (Val2))     \
+			      == 8)					      \
+			 {						      \
+			   if (sizeof (__real__ (Val1)) == sizeof (Val1)      \
+			       && sizeof (__real__ (Val2)) == sizeof (Val2))  \
+			     __tgmres = __tgml(Fct) (Val1, Val2);	      \
+			   else						      \
+			     __tgmres = __tgml(Cfct) (Val1, Val2);	      \
+			 }						      \
+		       else if (sizeof (__real__ (Val1)) == sizeof (double)   \
+				|| sizeof (__real__ (Val2)) == sizeof(double) \
+				|| (__builtin_classify_type (__real__ (Val1)) \
+				    != 8)				      \
+				|| (__builtin_classify_type (__real__ (Val2)) \
+				    != 8))				      \
+			 {						      \
+			   if (sizeof (__real__ (Val1)) == sizeof (Val1)      \
+			       && sizeof (__real__ (Val2)) == sizeof (Val2))  \
+			     __tgmres = Fct (Val1, Val2);		      \
+			   else						      \
+			     __tgmres = Cfct (Val1, Val2);		      \
+			 }						      \
+		       else						      \
+			 {						      \
+			   if (sizeof (__real__ (Val1)) == sizeof (Val1)      \
+			       && sizeof (__real__ (Val2)) == sizeof (Val2))  \
+			     __tgmres = Fct##f (Val1, Val2);		      \
+			   else						      \
+			     __tgmres = Cfct##f (Val1, Val2);		      \
+			 }						      \
+		       __tgmres; }))
+#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(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, 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.  */
+#ifdef __USE_GNU
+# define log10(Val) __TGMATH_UNARY_REAL_IMAG (Val, log10, __clog10)
+#else
+# define log10(Val) __TGMATH_UNARY_REAL_ONLY (Val, log10)
+#endif
+
+/* 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 tgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, tgamma)
+#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 nexttoward(Val1, Val2) \
+     __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, nexttoward)
+
+/* 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).  */
+#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED
+# define scalb(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, scalb)
+#endif
+
+/* 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)
+
+
+/* Multiply-add function computed as a ternary operation.  */
+#define fma(Val1, Val2, Val3) \
+     __TGMATH_TERNARY_REAL_ONLY (Val1, Val2, Val3, fma)
+
+
+/* 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 */