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tgmath.h/
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/* Copyright (C) 1997-2018 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, see <http://www.gnu.org/licenses/>. */
/* * ISO C99 Standard: 7.22 Type-generic math <tgmath.h> */
/* Include the needed headers. */ #include <bits/floatn.h> #include <math.h> #include <complex.h>
/* There are two variant implementations of type-generic macros in this file: one for GCC 8 and later, using __builtin_tgmath and where each macro expands each of its arguments only once, and one for older GCC, using other compiler extensions but with macros expanding their arguments many times (so resulting in exponential blowup of the size of expansions when calls to such macros are nested inside arguments to such macros). */
/* __floating_type expands to 1 if TYPE is a floating type (including complex floating types), 0 if TYPE is an integer type (including complex integer types). __real_integer_type expands to 1 if TYPE is a real integer type. __complex_integer_type expands to 1 if TYPE is a complex integer type. All these macros expand to integer constant expressions. All these macros can assume their argument has an arithmetic type (not vector, decimal floating-point or fixed-point), valid to pass to tgmath.h macros. */ # if __GNUC_PREREQ (3, 1) /* __builtin_classify_type expands to an integer constant expression in GCC 3.1 and later. Default conversions applied to the argument of __builtin_classify_type mean it always returns 1 for real integer types rather than ever returning different values for character, boolean or enumerated types. */ # define __floating_type(type) \ (__builtin_classify_type (__real__ ((type) 0)) == 8) # define __real_integer_type(type) \ (__builtin_classify_type ((type) 0) == 1) # define __complex_integer_type(type) \ (__builtin_classify_type ((type) 0) == 9 \ && __builtin_classify_type (__real__ ((type) 0)) == 1) # else /* GCC versions predating __builtin_classify_type are also looser on what counts as an integer constant expression. */ # define __floating_type(type) (((type) 1.25) != 1) # define __real_integer_type(type) (((type) (1.25 + _Complex_I)) == 1) # define __complex_integer_type(type) \ (((type) (1.25 + _Complex_I)) == (1 + _Complex_I)) # endif
/* Whether an expression (of arithmetic type) has a real type. */ # define __expr_is_real(E) (__builtin_classify_type (E) != 9)
/* The tgmath real type for T, where E is 0 if T is an integer type and 1 for a floating type. If T has a complex type, it is unspecified whether the return type is real or complex (but it has the correct corresponding real 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__ ((__typeof__ (+(expr))) 0), \ __floating_type (__typeof__ (+(expr))))
/* The tgmath complex type for T, where E1 is 1 if T has a floating type and 0 otherwise, E2 is 1 if T has a real integer type and 0 otherwise, and E3 is 1 if T has a complex type and 0 otherwise. */ # define __tgmath_complex_type_sub(T, E1, E2, E3) \ __typeof__ (*(0 \ ? (__typeof__ (0 ? (T *) 0 : (void *) (!(E1)))) 0 \ : (__typeof__ (0 \ ? (__typeof__ (0 \ ? (double *) 0 \ : (void *) (!(E2)))) 0 \ : (__typeof__ (0 \ ? (_Complex double *) 0 \ : (void *) (!(E3)))) 0)) 0))
/* The tgmath complex type of EXPR. */ # define __tgmath_complex_type(expr) \ __tgmath_complex_type_sub (__typeof__ ((__typeof__ (+(expr))) 0), \ __floating_type (__typeof__ (+(expr))), \ __real_integer_type (__typeof__ (+(expr))), \ __complex_integer_type (__typeof__ (+(expr))))
# if (__HAVE_DISTINCT_FLOAT16 \ || __HAVE_DISTINCT_FLOAT32 \ || __HAVE_DISTINCT_FLOAT64 \ || __HAVE_DISTINCT_FLOAT32X \ || __HAVE_DISTINCT_FLOAT64X \ || __HAVE_DISTINCT_FLOAT128X) # error "Unsupported _FloatN or _FloatNx types for <tgmath.h>." # endif
/* Expand to text that checks if ARG_COMB has type _Float128, and if so calls the appropriately suffixed FCT (which may include a cast), or FCT and CFCT for complex functions, with arguments ARG_CALL. */ # if __HAVE_DISTINCT_FLOAT128 && __GLIBC_USE (IEC_60559_TYPES_EXT) # if (!__HAVE_FLOAT64X \ || __HAVE_FLOAT64X_LONG_DOUBLE \ || !__HAVE_FLOATN_NOT_TYPEDEF) # define __TGMATH_F128(arg_comb, fct, arg_call) \ __builtin_types_compatible_p (__typeof (+(arg_comb)), _Float128) \ ? fct ## f128 arg_call : # define __TGMATH_CF128(arg_comb, fct, cfct, arg_call) \ __builtin_types_compatible_p (__typeof (+__real__ (arg_comb)), _Float128) \ ? (__expr_is_real (arg_comb) \ ? fct ## f128 arg_call \ : cfct ## f128 arg_call) : # else /* _Float64x is a distinct type at the C language level, which must be handled like _Float128. */ # define __TGMATH_F128(arg_comb, fct, arg_call) \ (__builtin_types_compatible_p (__typeof (+(arg_comb)), _Float128) \ || __builtin_types_compatible_p (__typeof (+(arg_comb)), _Float64x)) \ ? fct ## f128 arg_call : # define __TGMATH_CF128(arg_comb, fct, cfct, arg_call) \ (__builtin_types_compatible_p (__typeof (+__real__ (arg_comb)), _Float128) \ || __builtin_types_compatible_p (__typeof (+__real__ (arg_comb)), \ _Float64x)) \ ? (__expr_is_real (arg_comb) \ ? fct ## f128 arg_call \ : cfct ## f128 arg_call) : # endif # else # define __TGMATH_F128(arg_comb, fct, arg_call) /* Nothing. */ # define __TGMATH_CF128(arg_comb, fct, cfct, arg_call) /* Nothing. */ # endif
# endif /* !__HAVE_BUILTIN_TGMATH. */
/* 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. */ # if __HAVE_BUILTIN_TGMATH
/* 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_RET_ONLY (Val, lrint) #define llrint(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, llrint)
/* Round X to nearest integral value, rounding halfway cases away from zero. */ #define lround(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, lround) #define llround(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, llround)
/* Return X with its signed changed to Y's. */ #define copysign(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, copysign)
/* 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_STD_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). */ #ifdef __USE_MISC # define scalb(Val1, Val2) __TGMATH_BINARY_REAL_STD_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_RET_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)
#if __GLIBC_USE (IEC_60559_BFP_EXT) /* Round X to nearest integer value, rounding halfway cases to even. */ # define roundeven(Val) __TGMATH_UNARY_REAL_ONLY (Val, roundeven)