-/* Copyright (C) 1997-2017 Free Software Foundation, Inc.
+/* Copyright (C) 1997-2021 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
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/>. */
+ <https://www.gnu.org/licenses/>. */
/*
* ISO C99 Standard: 7.22 Type-generic math <tgmath.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. */
+/* 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). */
+
+#define __HAVE_BUILTIN_TGMATH __GNUC_PREREQ (8, 0)
#if __GNUC_PREREQ (2, 7)
-# ifdef __NO_LONG_DOUBLE_MATH
-# define __tgml(fct) fct
-# else
-# define __tgml(fct) fct ## l
+/* Certain cases of narrowing macros only need to call a single
+ function so cannot use __builtin_tgmath and do not need any
+ complicated logic. */
+# if __HAVE_FLOAT128X
+# error "Unsupported _Float128x type for <tgmath.h>."
# 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. */
-# if __GNUC_PREREQ (3, 1)
-# define __floating_type(type) \
- (__builtin_classify_type ((type) 0) == 8 \
- || (__builtin_classify_type ((type) 0) == 9 \
- && __builtin_classify_type (__real__ ((type) 0)) == 8))
-# else
-# define __floating_type(type) (((type) 0.25) && ((type) 0.25 - 1))
+# if ((__HAVE_FLOAT64X && !__HAVE_FLOAT128) \
+ || (__HAVE_FLOAT128 && !__HAVE_FLOAT64X))
+# error "Unsupported combination of types for <tgmath.h>."
+# endif
+# define __TGMATH_2_NARROW_D(F, X, Y) \
+ (F ## l (X, Y))
+# define __TGMATH_2_NARROW_F64X(F, X, Y) \
+ (F ## f128 (X, Y))
+# if !__HAVE_FLOAT128
+# define __TGMATH_2_NARROW_F32X(F, X, Y) \
+ (F ## f64 (X, Y))
# endif
-/* 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) \
+# if __HAVE_BUILTIN_TGMATH
+
+# if __HAVE_FLOAT16 && __GLIBC_USE (IEC_60559_TYPES_EXT)
+# define __TG_F16_ARG(X) X ## f16,
+# else
+# define __TG_F16_ARG(X)
+# endif
+# if __HAVE_FLOAT32 && __GLIBC_USE (IEC_60559_TYPES_EXT)
+# define __TG_F32_ARG(X) X ## f32,
+# else
+# define __TG_F32_ARG(X)
+# endif
+# if __HAVE_FLOAT64 && __GLIBC_USE (IEC_60559_TYPES_EXT)
+# define __TG_F64_ARG(X) X ## f64,
+# else
+# define __TG_F64_ARG(X)
+# endif
+# if __HAVE_FLOAT128 && __GLIBC_USE (IEC_60559_TYPES_EXT)
+# define __TG_F128_ARG(X) X ## f128,
+# else
+# define __TG_F128_ARG(X)
+# endif
+# if __HAVE_FLOAT32X && __GLIBC_USE (IEC_60559_TYPES_EXT)
+# define __TG_F32X_ARG(X) X ## f32x,
+# else
+# define __TG_F32X_ARG(X)
+# endif
+# if __HAVE_FLOAT64X && __GLIBC_USE (IEC_60559_TYPES_EXT)
+# define __TG_F64X_ARG(X) X ## f64x,
+# else
+# define __TG_F64X_ARG(X)
+# endif
+# if __HAVE_FLOAT128X && __GLIBC_USE (IEC_60559_TYPES_EXT)
+# define __TG_F128X_ARG(X) X ## f128x,
+# else
+# define __TG_F128X_ARG(X)
+# endif
+
+# define __TGMATH_FUNCS(X) X ## f, X, X ## l, \
+ __TG_F16_ARG (X) __TG_F32_ARG (X) __TG_F64_ARG (X) __TG_F128_ARG (X) \
+ __TG_F32X_ARG (X) __TG_F64X_ARG (X) __TG_F128X_ARG (X)
+# define __TGMATH_RCFUNCS(F, C) __TGMATH_FUNCS (F) __TGMATH_FUNCS (C)
+# define __TGMATH_1(F, X) __builtin_tgmath (__TGMATH_FUNCS (F) (X))
+# define __TGMATH_2(F, X, Y) __builtin_tgmath (__TGMATH_FUNCS (F) (X), (Y))
+# define __TGMATH_2STD(F, X, Y) __builtin_tgmath (F ## f, F, F ## l, (X), (Y))
+# define __TGMATH_3(F, X, Y, Z) __builtin_tgmath (__TGMATH_FUNCS (F) \
+ (X), (Y), (Z))
+# define __TGMATH_1C(F, C, X) __builtin_tgmath (__TGMATH_RCFUNCS (F, C) (X))
+# define __TGMATH_2C(F, C, X, Y) __builtin_tgmath (__TGMATH_RCFUNCS (F, C) \
+ (X), (Y))
+
+# define __TGMATH_NARROW_FUNCS_F(X) X, X ## l,
+# define __TGMATH_NARROW_FUNCS_F16(X) \
+ __TG_F32_ARG (X) __TG_F64_ARG (X) __TG_F128_ARG (X) \
+ __TG_F32X_ARG (X) __TG_F64X_ARG (X) __TG_F128X_ARG (X)
+# define __TGMATH_NARROW_FUNCS_F32(X) \
+ __TG_F64_ARG (X) __TG_F128_ARG (X) \
+ __TG_F32X_ARG (X) __TG_F64X_ARG (X) __TG_F128X_ARG (X)
+# define __TGMATH_NARROW_FUNCS_F64(X) \
+ __TG_F128_ARG (X) \
+ __TG_F64X_ARG (X) __TG_F128X_ARG (X)
+# define __TGMATH_NARROW_FUNCS_F32X(X) \
+ __TG_F64X_ARG (X) __TG_F128X_ARG (X) \
+ __TG_F64_ARG (X) __TG_F128_ARG (X)
+
+# define __TGMATH_2_NARROW_F(F, X, Y) \
+ __builtin_tgmath (__TGMATH_NARROW_FUNCS_F (F) (X), (Y))
+# define __TGMATH_2_NARROW_F16(F, X, Y) \
+ __builtin_tgmath (__TGMATH_NARROW_FUNCS_F16 (F) (X), (Y))
+# define __TGMATH_2_NARROW_F32(F, X, Y) \
+ __builtin_tgmath (__TGMATH_NARROW_FUNCS_F32 (F) (X), (Y))
+# define __TGMATH_2_NARROW_F64(F, X, Y) \
+ __builtin_tgmath (__TGMATH_NARROW_FUNCS_F64 (F) (X), (Y))
+# if __HAVE_FLOAT128
+# define __TGMATH_2_NARROW_F32X(F, X, Y) \
+ __builtin_tgmath (__TGMATH_NARROW_FUNCS_F32X (F) (X), (Y))
+# endif
+
+# else /* !__HAVE_BUILTIN_TGMATH. */
+
+# ifdef __NO_LONG_DOUBLE_MATH
+# define __tgml(fct) fct
+# else
+# define __tgml(fct) fct ## l
+# endif
+
+/* __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)))
+# 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_FLOAT128 && __GLIBC_USE (IEC_60559_TYPES_EXT)
-# define __TGMATH_F128(arg_comb, fct, arg_call) \
- __builtin_types_compatible_p (__typeof (arg_comb), _Float128) \
+# 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) \
- ? (sizeof (__real__ (arg_comb)) == sizeof (arg_comb) \
+# 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
-# define __TGMATH_F128(arg_comb, fct, arg_call) /* Nothing. */
-# define __TGMATH_CF128(arg_comb, fct, cfct, arg_call) /* Nothing. */
-# endif
+# 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. */
-# define __TGMATH_UNARY_REAL_ONLY(Val, Fct) \
- (__extension__ ((sizeof (Val) == sizeof (double) \
+# if __HAVE_BUILTIN_TGMATH
+
+# define __TGMATH_UNARY_REAL_ONLY(Val, Fct) __TGMATH_1 (Fct, (Val))
+# define __TGMATH_UNARY_REAL_RET_ONLY(Val, Fct) __TGMATH_1 (Fct, (Val))
+# define __TGMATH_BINARY_FIRST_REAL_ONLY(Val1, Val2, Fct) \
+ __TGMATH_2 (Fct, (Val1), (Val2))
+# define __TGMATH_BINARY_FIRST_REAL_STD_ONLY(Val1, Val2, Fct) \
+ __TGMATH_2STD (Fct, (Val1), (Val2))
+# define __TGMATH_BINARY_REAL_ONLY(Val1, Val2, Fct) \
+ __TGMATH_2 (Fct, (Val1), (Val2))
+# define __TGMATH_BINARY_REAL_STD_ONLY(Val1, Val2, Fct) \
+ __TGMATH_2STD (Fct, (Val1), (Val2))
+# define __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY(Val1, Val2, Val3, Fct) \
+ __TGMATH_3 (Fct, (Val1), (Val2), (Val3))
+# define __TGMATH_TERNARY_REAL_ONLY(Val1, Val2, Val3, Fct) \
+ __TGMATH_3 (Fct, (Val1), (Val2), (Val3))
+# define __TGMATH_TERNARY_FIRST_REAL_RET_ONLY(Val1, Val2, Val3, Fct) \
+ __TGMATH_3 (Fct, (Val1), (Val2), (Val3))
+# define __TGMATH_UNARY_REAL_IMAG(Val, Fct, Cfct) \
+ __TGMATH_1C (Fct, Cfct, (Val))
+# define __TGMATH_UNARY_IMAG(Val, Cfct) __TGMATH_1 (Cfct, (Val))
+# define __TGMATH_UNARY_REAL_IMAG_RET_REAL(Val, Fct, Cfct) \
+ __TGMATH_1C (Fct, Cfct, (Val))
+# define __TGMATH_UNARY_REAL_IMAG_RET_REAL_SAME(Val, Cfct) \
+ __TGMATH_1 (Cfct, (Val))
+# define __TGMATH_BINARY_REAL_IMAG(Val1, Val2, Fct, Cfct) \
+ __TGMATH_2C (Fct, Cfct, (Val1), (Val2))
+
+# else /* !__HAVE_BUILTIN_TGMATH. */
+
+# define __TGMATH_UNARY_REAL_ONLY(Val, Fct) \
+ (__extension__ ((sizeof (+(Val)) == sizeof (double) \
|| __builtin_classify_type (Val) != 8) \
? (__tgmath_real_type (Val)) Fct (Val) \
- : (sizeof (Val) == sizeof (float)) \
+ : (sizeof (+(Val)) == sizeof (float)) \
? (__tgmath_real_type (Val)) Fct##f (Val) \
: __TGMATH_F128 ((Val), (__tgmath_real_type (Val)) Fct, \
(Val)) \
(__tgmath_real_type (Val)) __tgml(Fct) (Val)))
-# define __TGMATH_UNARY_REAL_RET_ONLY(Val, Fct) \
- (__extension__ ((sizeof (Val) == sizeof (double) \
+# define __TGMATH_UNARY_REAL_RET_ONLY(Val, Fct) \
+ (__extension__ ((sizeof (+(Val)) == sizeof (double) \
|| __builtin_classify_type (Val) != 8) \
? Fct (Val) \
- : (sizeof (Val) == sizeof (float)) \
+ : (sizeof (+(Val)) == sizeof (float)) \
? Fct##f (Val) \
: __TGMATH_F128 ((Val), Fct, (Val)) \
__tgml(Fct) (Val)))
-# define __TGMATH_BINARY_FIRST_REAL_ONLY(Val1, Val2, Fct) \
- (__extension__ ((sizeof (Val1) == sizeof (double) \
+# define __TGMATH_BINARY_FIRST_REAL_ONLY(Val1, Val2, Fct) \
+ (__extension__ ((sizeof (+(Val1)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8) \
? (__tgmath_real_type (Val1)) Fct (Val1, Val2) \
- : (sizeof (Val1) == sizeof (float)) \
+ : (sizeof (+(Val1)) == sizeof (float)) \
? (__tgmath_real_type (Val1)) Fct##f (Val1, Val2) \
: __TGMATH_F128 ((Val1), (__tgmath_real_type (Val1)) Fct, \
(Val1, Val2)) \
(__tgmath_real_type (Val1)) __tgml(Fct) (Val1, Val2)))
-# define __TGMATH_BINARY_FIRST_REAL_STD_ONLY(Val1, Val2, Fct) \
- (__extension__ ((sizeof (Val1) == sizeof (double) \
+# define __TGMATH_BINARY_FIRST_REAL_STD_ONLY(Val1, Val2, Fct) \
+ (__extension__ ((sizeof (+(Val1)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8) \
? (__tgmath_real_type (Val1)) Fct (Val1, Val2) \
- : (sizeof (Val1) == sizeof (float)) \
+ : (sizeof (+(Val1)) == sizeof (float)) \
? (__tgmath_real_type (Val1)) Fct##f (Val1, Val2) \
: (__tgmath_real_type (Val1)) __tgml(Fct) (Val1, Val2)))
-# define __TGMATH_BINARY_REAL_ONLY(Val1, Val2, Fct) \
- (__extension__ (((sizeof (Val1) > sizeof (double) \
- || sizeof (Val2) > sizeof (double)) \
+# define __TGMATH_BINARY_REAL_ONLY(Val1, Val2, Fct) \
+ (__extension__ ((sizeof ((Val1) + (Val2)) > sizeof (double) \
&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
? __TGMATH_F128 ((Val1) + (Val2), \
(__typeof \
(__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
__tgml(Fct) (Val1, Val2) \
- : (sizeof (Val1) == sizeof (double) \
- || sizeof (Val2) == sizeof (double) \
+ : (sizeof (+(Val1)) == sizeof (double) \
+ || sizeof (+(Val2)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8 \
|| __builtin_classify_type (Val2) != 8) \
? (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
Fct##f (Val1, Val2)))
-# define __TGMATH_BINARY_REAL_STD_ONLY(Val1, Val2, Fct) \
- (__extension__ (((sizeof (Val1) > sizeof (double) \
- || sizeof (Val2) > sizeof (double)) \
+# define __TGMATH_BINARY_REAL_STD_ONLY(Val1, Val2, Fct) \
+ (__extension__ ((sizeof ((Val1) + (Val2)) > sizeof (double) \
&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
? (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
__tgml(Fct) (Val1, Val2) \
- : (sizeof (Val1) == sizeof (double) \
- || sizeof (Val2) == sizeof (double) \
+ : (sizeof (+(Val1)) == sizeof (double) \
+ || sizeof (+(Val2)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8 \
|| __builtin_classify_type (Val2) != 8) \
? (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
Fct##f (Val1, Val2)))
-# define __TGMATH_BINARY_REAL_RET_ONLY(Val1, Val2, Fct) \
- (__extension__ (((sizeof (Val1) > sizeof (double) \
- || sizeof (Val2) > sizeof (double)) \
- && __builtin_classify_type ((Val1) + (Val2)) == 8) \
- ? __TGMATH_F128 ((Val1) + (Val2), Fct, (Val1, Val2)) \
- __tgml(Fct) (Val1, Val2) \
- : (sizeof (Val1) == sizeof (double) \
- || sizeof (Val2) == sizeof (double) \
- || __builtin_classify_type (Val1) != 8 \
- || __builtin_classify_type (Val2) != 8) \
- ? Fct (Val1, Val2) \
- : Fct##f (Val1, Val2)))
-
-# define __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY(Val1, Val2, Val3, Fct) \
- (__extension__ (((sizeof (Val1) > sizeof (double) \
- || sizeof (Val2) > sizeof (double)) \
+# define __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY(Val1, Val2, Val3, Fct) \
+ (__extension__ ((sizeof ((Val1) + (Val2)) > sizeof (double) \
&& __builtin_classify_type ((Val1) + (Val2)) == 8) \
? __TGMATH_F128 ((Val1) + (Val2), \
(__typeof \
(__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
__tgml(Fct) (Val1, Val2, Val3) \
- : (sizeof (Val1) == sizeof (double) \
- || sizeof (Val2) == sizeof (double) \
+ : (sizeof (+(Val1)) == sizeof (double) \
+ || sizeof (+(Val2)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8 \
|| __builtin_classify_type (Val2) != 8) \
? (__typeof ((__tgmath_real_type (Val1)) 0 \
+ (__tgmath_real_type (Val2)) 0)) \
Fct##f (Val1, Val2, Val3)))
-# define __TGMATH_TERNARY_REAL_ONLY(Val1, Val2, Val3, Fct) \
- (__extension__ (((sizeof (Val1) > sizeof (double) \
- || sizeof (Val2) > sizeof (double) \
- || sizeof (Val3) > sizeof (double)) \
+# define __TGMATH_TERNARY_REAL_ONLY(Val1, Val2, Val3, Fct) \
+ (__extension__ ((sizeof ((Val1) + (Val2) + (Val3)) > sizeof (double) \
&& __builtin_classify_type ((Val1) + (Val2) + (Val3)) \
== 8) \
? __TGMATH_F128 ((Val1) + (Val2) + (Val3), \
+ (__tgmath_real_type (Val2)) 0 \
+ (__tgmath_real_type (Val3)) 0)) \
__tgml(Fct) (Val1, Val2, Val3) \
- : (sizeof (Val1) == sizeof (double) \
- || sizeof (Val2) == sizeof (double) \
- || sizeof (Val3) == sizeof (double) \
+ : (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) \
+ (__tgmath_real_type (Val3)) 0)) \
Fct##f (Val1, Val2, Val3)))
-# define __TGMATH_TERNARY_FIRST_REAL_RET_ONLY(Val1, Val2, Val3, Fct) \
- (__extension__ ((sizeof (Val1) == sizeof (double) \
+# define __TGMATH_TERNARY_FIRST_REAL_RET_ONLY(Val1, Val2, Val3, Fct) \
+ (__extension__ ((sizeof (+(Val1)) == sizeof (double) \
|| __builtin_classify_type (Val1) != 8) \
? Fct (Val1, Val2, Val3) \
- : (sizeof (Val1) == sizeof (float)) \
+ : (sizeof (+(Val1)) == sizeof (float)) \
? Fct##f (Val1, Val2, Val3) \
: __TGMATH_F128 ((Val1), Fct, (Val1, Val2, Val3)) \
__tgml(Fct) (Val1, Val2, Val3)))
/* 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__ ((sizeof (__real__ (Val)) == sizeof (double) \
+# define __TGMATH_UNARY_REAL_IMAG(Val, Fct, Cfct) \
+ (__extension__ ((sizeof (+__real__ (Val)) == sizeof (double) \
|| __builtin_classify_type (__real__ (Val)) != 8) \
- ? ((sizeof (__real__ (Val)) == sizeof (Val)) \
- ? (__tgmath_real_type (Val)) Fct (Val) \
- : (__tgmath_real_type (Val)) Cfct (Val)) \
- : (sizeof (__real__ (Val)) == sizeof (float)) \
- ? ((sizeof (__real__ (Val)) == sizeof (Val)) \
- ? (__tgmath_real_type (Val)) Fct##f (Val) \
- : (__tgmath_real_type (Val)) Cfct##f (Val)) \
- : __TGMATH_CF128 ((Val), (__tgmath_real_type (Val)) Fct, \
- (__tgmath_real_type (Val)) Cfct, \
+ ? (__expr_is_real (Val) \
+ ? (__tgmath_complex_type (Val)) Fct (Val) \
+ : (__tgmath_complex_type (Val)) Cfct (Val)) \
+ : (sizeof (+__real__ (Val)) == sizeof (float)) \
+ ? (__expr_is_real (Val) \
+ ? (__tgmath_complex_type (Val)) Fct##f (Val) \
+ : (__tgmath_complex_type (Val)) Cfct##f (Val)) \
+ : __TGMATH_CF128 ((Val), \
+ (__tgmath_complex_type (Val)) Fct, \
+ (__tgmath_complex_type (Val)) Cfct, \
(Val)) \
- ((sizeof (__real__ (Val)) == sizeof (Val)) \
- ? (__tgmath_real_type (Val)) __tgml(Fct) (Val) \
- : (__tgmath_real_type (Val)) __tgml(Cfct) (Val))))
+ (__expr_is_real (Val) \
+ ? (__tgmath_complex_type (Val)) __tgml(Fct) (Val) \
+ : (__tgmath_complex_type (Val)) __tgml(Cfct) (Val))))
-# define __TGMATH_UNARY_IMAG(Val, Cfct) \
- (__extension__ ((sizeof (__real__ (Val)) == sizeof (double) \
+# define __TGMATH_UNARY_IMAG(Val, Cfct) \
+ (__extension__ ((sizeof (+__real__ (Val)) == sizeof (double) \
|| __builtin_classify_type (__real__ (Val)) != 8) \
? (__typeof__ ((__tgmath_real_type (Val)) 0 \
+ _Complex_I)) Cfct (Val) \
- : (sizeof (__real__ (Val)) == sizeof (float)) \
+ : (sizeof (+__real__ (Val)) == sizeof (float)) \
? (__typeof__ ((__tgmath_real_type (Val)) 0 \
+ _Complex_I)) Cfct##f (Val) \
: __TGMATH_F128 (__real__ (Val), \
/* XXX This definition has to be changed as soon as the compiler understands
the imaginary keyword. */
-# define __TGMATH_UNARY_REAL_IMAG_RET_REAL(Val, Fct, Cfct) \
- (__extension__ ((sizeof (__real__ (Val)) == sizeof (double) \
+# define __TGMATH_UNARY_REAL_IMAG_RET_REAL(Val, Fct, Cfct) \
+ (__extension__ ((sizeof (+__real__ (Val)) == sizeof (double) \
|| __builtin_classify_type (__real__ (Val)) != 8) \
- ? ((sizeof (__real__ (Val)) == sizeof (Val)) \
+ ? (__expr_is_real (Val) \
? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
Fct (Val) \
: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
Cfct (Val)) \
- : (sizeof (__real__ (Val)) == sizeof (float)) \
- ? ((sizeof (__real__ (Val)) == sizeof (Val)) \
+ : (sizeof (+__real__ (Val)) == sizeof (float)) \
+ ? (__expr_is_real (Val) \
? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
Fct##f (Val) \
: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
(__real__ \
(__tgmath_real_type (Val)) 0)) Cfct, \
(Val)) \
- ((sizeof (__real__ (Val)) == sizeof (Val)) \
+ (__expr_is_real (Val) \
? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0)) \
__tgml(Fct) (Val) \
: (__typeof__ (__real__ (__tgmath_real_type (Val)) 0)) \
__tgml(Cfct) (Val))))
+# define __TGMATH_UNARY_REAL_IMAG_RET_REAL_SAME(Val, Cfct) \
+ __TGMATH_UNARY_REAL_IMAG_RET_REAL ((Val), Cfct, Cfct)
/* 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__ (((sizeof (__real__ (Val1)) > sizeof (double) \
- || sizeof (__real__ (Val2)) > sizeof (double)) \
+# define __TGMATH_BINARY_REAL_IMAG(Val1, Val2, Fct, Cfct) \
+ (__extension__ ((sizeof (__real__ (Val1) \
+ + __real__ (Val2)) > sizeof (double) \
&& __builtin_classify_type (__real__ (Val1) \
+ __real__ (Val2)) == 8) \
? __TGMATH_CF128 ((Val1) + (Val2), \
(__typeof \
- ((__tgmath_real_type (Val1)) 0 \
- + (__tgmath_real_type (Val2)) 0)) \
+ ((__tgmath_complex_type (Val1)) 0 \
+ + (__tgmath_complex_type (Val2)) 0)) \
Fct, \
(__typeof \
- ((__tgmath_real_type (Val1)) 0 \
- + (__tgmath_real_type (Val2)) 0)) \
+ ((__tgmath_complex_type (Val1)) 0 \
+ + (__tgmath_complex_type (Val2)) 0)) \
Cfct, \
(Val1, Val2)) \
- ((sizeof (__real__ (Val1)) == sizeof (Val1) \
- && sizeof (__real__ (Val2)) == sizeof (Val2)) \
- ? (__typeof ((__tgmath_real_type (Val1)) 0 \
- + (__tgmath_real_type (Val2)) 0)) \
+ (__expr_is_real ((Val1) + (Val2)) \
+ ? (__typeof ((__tgmath_complex_type (Val1)) 0 \
+ + (__tgmath_complex_type (Val2)) 0)) \
__tgml(Fct) (Val1, Val2) \
- : (__typeof ((__tgmath_real_type (Val1)) 0 \
- + (__tgmath_real_type (Val2)) 0)) \
+ : (__typeof ((__tgmath_complex_type (Val1)) 0 \
+ + (__tgmath_complex_type (Val2)) 0)) \
__tgml(Cfct) (Val1, Val2)) \
- : (sizeof (__real__ (Val1)) == sizeof (double) \
- || sizeof (__real__ (Val2)) == sizeof (double) \
+ : (sizeof (+__real__ (Val1)) == sizeof (double) \
+ || sizeof (+__real__ (Val2)) == sizeof (double) \
|| __builtin_classify_type (__real__ (Val1)) != 8 \
|| __builtin_classify_type (__real__ (Val2)) != 8) \
- ? ((sizeof (__real__ (Val1)) == sizeof (Val1) \
- && sizeof (__real__ (Val2)) == sizeof (Val2)) \
- ? (__typeof ((__tgmath_real_type (Val1)) 0 \
- + (__tgmath_real_type (Val2)) 0)) \
+ ? (__expr_is_real ((Val1) + (Val2)) \
+ ? (__typeof ((__tgmath_complex_type (Val1)) 0 \
+ + (__tgmath_complex_type (Val2)) 0)) \
Fct (Val1, Val2) \
- : (__typeof ((__tgmath_real_type (Val1)) 0 \
- + (__tgmath_real_type (Val2)) 0)) \
+ : (__typeof ((__tgmath_complex_type (Val1)) 0 \
+ + (__tgmath_complex_type (Val2)) 0)) \
Cfct (Val1, Val2)) \
- : ((sizeof (__real__ (Val1)) == sizeof (Val1) \
- && sizeof (__real__ (Val2)) == sizeof (Val2)) \
- ? (__typeof ((__tgmath_real_type (Val1)) 0 \
- + (__tgmath_real_type (Val2)) 0)) \
+ : (__expr_is_real ((Val1) + (Val2)) \
+ ? (__typeof ((__tgmath_complex_type (Val1)) 0 \
+ + (__tgmath_complex_type (Val2)) 0)) \
Fct##f (Val1, Val2) \
- : (__typeof ((__tgmath_real_type (Val1)) 0 \
- + (__tgmath_real_type (Val2)) 0)) \
+ : (__typeof ((__tgmath_complex_type (Val1)) 0 \
+ + (__tgmath_complex_type (Val2)) 0)) \
Cfct##f (Val1, Val2))))
+
+# define __TGMATH_2_NARROW_F(F, X, Y) \
+ (__extension__ (sizeof ((__tgmath_real_type (X)) 0 \
+ + (__tgmath_real_type (Y)) 0) > sizeof (double) \
+ ? F ## l (X, Y) \
+ : F (X, Y)))
+/* In most cases, these narrowing macro definitions based on sizeof
+ ensure that the function called has the right argument format, as
+ for other <tgmath.h> macros for compilers before GCC 8, but may not
+ have exactly the argument type (among the types with that format)
+ specified in the standard logic.
+
+ In the case of macros for _Float32x return type, when _Float64x
+ exists, _Float64 arguments should result in the *f64 function being
+ called while _Float32x arguments should result in the *f64x
+ function being called. These cases cannot be distinguished using
+ sizeof (or at all if the types are typedefs rather than different
+ types). However, for these functions it is OK (does not affect the
+ final result) to call a function with any argument format at least
+ as wide as all the floating-point arguments, unless that affects
+ rounding of integer arguments. Integer arguments are considered to
+ have type _Float64, so the *f64 functions are preferred for f32x*
+ macros when no argument has a wider floating-point type. */
+# if __HAVE_FLOAT64X_LONG_DOUBLE && __HAVE_DISTINCT_FLOAT128
+# define __TGMATH_2_NARROW_F32(F, X, Y) \
+ (__extension__ (sizeof ((__tgmath_real_type (X)) 0 \
+ + (__tgmath_real_type (Y)) 0) > sizeof (_Float64) \
+ ? __TGMATH_F128 ((X) + (Y), F, (X, Y)) \
+ F ## f64x (X, Y) \
+ : F ## f64 (X, Y)))
+# define __TGMATH_2_NARROW_F64(F, X, Y) \
+ (__extension__ (sizeof ((__tgmath_real_type (X)) 0 \
+ + (__tgmath_real_type (Y)) 0) > sizeof (_Float64) \
+ ? __TGMATH_F128 ((X) + (Y), F, (X, Y)) \
+ F ## f64x (X, Y) \
+ : F ## f128 (X, Y)))
+# define __TGMATH_2_NARROW_F32X(F, X, Y) \
+ (__extension__ (sizeof ((__tgmath_real_type (X)) 0 \
+ + (__tgmath_real_type (Y)) 0) > sizeof (_Float64) \
+ ? __TGMATH_F128 ((X) + (Y), F, (X, Y)) \
+ F ## f64x (X, Y) \
+ : F ## f64 (X, Y)))
+# elif __HAVE_FLOAT128
+# define __TGMATH_2_NARROW_F32(F, X, Y) \
+ (__extension__ (sizeof ((__tgmath_real_type (X)) 0 \
+ + (__tgmath_real_type (Y)) 0) > sizeof (_Float64) \
+ ? F ## f128 (X, Y) \
+ : F ## f64 (X, Y)))
+# define __TGMATH_2_NARROW_F64(F, X, Y) \
+ (F ## f128 (X, Y))
+# define __TGMATH_2_NARROW_F32X(F, X, Y) \
+ (__extension__ (sizeof ((__tgmath_real_type (X)) 0 \
+ + (__tgmath_real_type (Y)) 0) > sizeof (_Float32x) \
+ ? F ## f64x (X, Y) \
+ : F ## f64 (X, Y)))
+# else
+# define __TGMATH_2_NARROW_F32(F, X, Y) \
+ (F ## f64 (X, Y))
+# endif
+# endif /* !__HAVE_BUILTIN_TGMATH. */
#else
# error "Unsupported compiler; you cannot use <tgmath.h>"
#endif
prevailing rounding mode. */
#define rint(Val) __TGMATH_UNARY_REAL_ONLY (Val, rint)
-#if __GLIBC_USE (IEC_60559_BFP_EXT)
+#if __GLIBC_USE (IEC_60559_BFP_EXT_C2X)
/* Return X - epsilon. */
# define nextdown(Val) __TGMATH_UNARY_REAL_ONLY (Val, nextdown)
/* Return X + epsilon. */
#define fma(Val1, Val2, Val3) \
__TGMATH_TERNARY_REAL_ONLY (Val1, Val2, Val3, fma)
-#if __GLIBC_USE (IEC_60559_BFP_EXT)
+#if __GLIBC_USE (IEC_60559_BFP_EXT_C2X)
/* Round X to nearest integer value, rounding halfway cases to even. */
# define roundeven(Val) __TGMATH_UNARY_REAL_ONLY (Val, roundeven)
/* Return value with minimum magnitude. */
# define fminmag(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fminmag)
-
-/* Total order operation. */
-# define totalorder(Val1, Val2) \
- __TGMATH_BINARY_REAL_RET_ONLY (Val1, Val2, totalorder)
-
-/* Total order operation on absolute values. */
-# define totalordermag(Val1, Val2) \
- __TGMATH_BINARY_REAL_RET_ONLY (Val1, Val2, totalordermag)
#endif
/* Absolute value, conjugates, and projection. */
/* Argument value of Z. */
-#define carg(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, carg, carg)
+#define carg(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL_SAME (Val, carg)
/* Complex conjugate of Z. */
#define conj(Val) __TGMATH_UNARY_IMAG (Val, conj)
/* Decomposing complex values. */
/* Imaginary part of Z. */
-#define cimag(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, cimag, cimag)
+#define cimag(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL_SAME (Val, cimag)
/* Real part of Z. */
-#define creal(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, creal, creal)
+#define creal(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL_SAME (Val, creal)
+
+
+/* Narrowing functions. */
+
+#if __GLIBC_USE (IEC_60559_BFP_EXT_C2X)
+
+/* Add. */
+# define fadd(Val1, Val2) __TGMATH_2_NARROW_F (fadd, Val1, Val2)
+# define dadd(Val1, Val2) __TGMATH_2_NARROW_D (dadd, Val1, Val2)
+
+/* Divide. */
+# define fdiv(Val1, Val2) __TGMATH_2_NARROW_F (fdiv, Val1, Val2)
+# define ddiv(Val1, Val2) __TGMATH_2_NARROW_D (ddiv, Val1, Val2)
+
+/* Multiply. */
+# define fmul(Val1, Val2) __TGMATH_2_NARROW_F (fmul, Val1, Val2)
+# define dmul(Val1, Val2) __TGMATH_2_NARROW_D (dmul, Val1, Val2)
+
+/* Subtract. */
+# define fsub(Val1, Val2) __TGMATH_2_NARROW_F (fsub, Val1, Val2)
+# define dsub(Val1, Val2) __TGMATH_2_NARROW_D (dsub, Val1, Val2)
+
+#endif
+
+#if __GLIBC_USE (IEC_60559_TYPES_EXT)
+
+# if __HAVE_FLOAT16
+# define f16add(Val1, Val2) __TGMATH_2_NARROW_F16 (f16add, Val1, Val2)
+# define f16div(Val1, Val2) __TGMATH_2_NARROW_F16 (f16div, Val1, Val2)
+# define f16mul(Val1, Val2) __TGMATH_2_NARROW_F16 (f16mul, Val1, Val2)
+# define f16sub(Val1, Val2) __TGMATH_2_NARROW_F16 (f16sub, Val1, Val2)
+# endif
+
+# if __HAVE_FLOAT32
+# define f32add(Val1, Val2) __TGMATH_2_NARROW_F32 (f32add, Val1, Val2)
+# define f32div(Val1, Val2) __TGMATH_2_NARROW_F32 (f32div, Val1, Val2)
+# define f32mul(Val1, Val2) __TGMATH_2_NARROW_F32 (f32mul, Val1, Val2)
+# define f32sub(Val1, Val2) __TGMATH_2_NARROW_F32 (f32sub, Val1, Val2)
+# endif
+
+# if __HAVE_FLOAT64 && (__HAVE_FLOAT64X || __HAVE_FLOAT128)
+# define f64add(Val1, Val2) __TGMATH_2_NARROW_F64 (f64add, Val1, Val2)
+# define f64div(Val1, Val2) __TGMATH_2_NARROW_F64 (f64div, Val1, Val2)
+# define f64mul(Val1, Val2) __TGMATH_2_NARROW_F64 (f64mul, Val1, Val2)
+# define f64sub(Val1, Val2) __TGMATH_2_NARROW_F64 (f64sub, Val1, Val2)
+# endif
+
+# if __HAVE_FLOAT32X
+# define f32xadd(Val1, Val2) __TGMATH_2_NARROW_F32X (f32xadd, Val1, Val2)
+# define f32xdiv(Val1, Val2) __TGMATH_2_NARROW_F32X (f32xdiv, Val1, Val2)
+# define f32xmul(Val1, Val2) __TGMATH_2_NARROW_F32X (f32xmul, Val1, Val2)
+# define f32xsub(Val1, Val2) __TGMATH_2_NARROW_F32X (f32xsub, Val1, Val2)
+# endif
+
+# if __HAVE_FLOAT64X && (__HAVE_FLOAT128X || __HAVE_FLOAT128)
+# define f64xadd(Val1, Val2) __TGMATH_2_NARROW_F64X (f64xadd, Val1, Val2)
+# define f64xdiv(Val1, Val2) __TGMATH_2_NARROW_F64X (f64xdiv, Val1, Val2)
+# define f64xmul(Val1, Val2) __TGMATH_2_NARROW_F64X (f64xmul, Val1, Val2)
+# define f64xsub(Val1, Val2) __TGMATH_2_NARROW_F64X (f64xsub, Val1, Val2)
+# endif
+
+#endif
#endif /* tgmath.h */
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