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	C23 adds various <math.h> function families originally defined in TS 18661-4. Add the rootn functions, which compute the Yth root of X for integer Y (with a domain error if Y is 0, even if X is a NaN). The integer exponent has type long long int in C23; it was intmax_t in TS 18661-4, and as with other interfaces changed after their initial appearance in the TS, I don't think we need to support the original version of the interface. As with pown and compoundn, I strongly encourage searching for worst cases for ulps error for these implementations (necessarily non-exhaustively, given the size of the input space). I also expect a custom implementation for a given format could be much faster as well as more accurate, although the implementation is simpler than those for pown and compoundn. This completes adding to glibc those TS 18661-4 functions (ignoring DFP) that are included in C23. See https://gcc.gnu.org/bugzilla/show_bug.cgi?id=118592 regarding the C23 mathematical functions (not just the TS 18661-4 ones) missing built-in functions in GCC, where such functions might usefully be added. Tested for x86_64 and x86, and with build-many-glibcs.py.
		
			
				
	
	
		
			872 lines
		
	
	
		
			40 KiB
		
	
	
	
		
			Python
		
	
	
		
			Executable File
		
	
	
	
	
			
		
		
	
	
			872 lines
		
	
	
		
			40 KiB
		
	
	
	
		
			Python
		
	
	
		
			Executable File
		
	
	
	
	
#!/usr/bin/python3
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# Generate tests for <tgmath.h> macros.
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# Copyright (C) 2017-2025 Free Software Foundation, Inc.
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# This file is part of the GNU C Library.
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#
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# The GNU C Library is free software; you can redistribute it and/or
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# modify it under the terms of the GNU Lesser General Public
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# License as published by the Free Software Foundation; either
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# version 2.1 of the License, or (at your option) any later version.
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#
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# The GNU C Library is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
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# Lesser General Public License for more details.
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#
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# You should have received a copy of the GNU Lesser General Public
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# License along with the GNU C Library; if not, see
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# <https://www.gnu.org/licenses/>.
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# As glibc does not support decimal floating point, the types to
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# consider for generic parameters are standard and binary
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# floating-point types, and integer types which are treated as
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# _Float32x if any argument has a _FloatNx type and otherwise as
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# double.  The corresponding complex types may also be used (including
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# complex integer types, which are a GNU extension, but are currently
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# disabled here because they do not work properly with tgmath.h).
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# C23 makes the <tgmath.h> rules for selecting a function to call
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# correspond to the usual arithmetic conversions (applied successively
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# to the arguments for generic parameters in order), which choose the
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# type whose set of values contains that of the other type (undefined
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# behavior if neither type's set of values is a superset of the
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# other), with interchange types being preferred to standard types
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# (long double, double, float), being preferred to extended types
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# (_Float128x, _Float64x, _Float32x).
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# For the standard and binary floating-point types supported by GCC 7
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# on any platform, this means the resulting type is the last of the
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# given types in one of the following orders, or undefined behavior if
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# types with both ibm128 and binary128 representation are specified.
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# If double = long double: _Float16, float, _Float32, _Float32x,
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# double, long double, _Float64, _Float64x, _Float128.
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# Otherwise: _Float16, float, _Float32, _Float32x, double, _Float64,
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# _Float64x, long double, _Float128.
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# We generate tests to verify the return type is exactly as expected.
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# We also verify that the function called is real or complex as
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# expected, and that it is called for the right floating-point format
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# (but it is OK to call a double function instead of a long double one
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# if they have the same format, for example).  For all the formats
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# supported on any given configuration of glibc, the MANT_DIG value
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# uniquely determines the format.
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import string
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import sys
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class Type(object):
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    """A type that may be used as an argument for generic parameters."""
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    # All possible argument or result types.
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    all_types_list = []
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    # All argument types.
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    argument_types_list = []
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    # All real argument types.
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    real_argument_types_list = []
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    # Real argument types that correspond to a standard floating type
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    # (float, double or long double; not _FloatN or _FloatNx).
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    standard_real_argument_types_list = []
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    # The real floating types by their order properties (which are
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    # tuples giving the positions in both the possible orders above).
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    real_types_order = {}
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    # The type double.
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    double_type = None
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    # The type long double.
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    long_double_type = None
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    # The type _Complex double.
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    complex_double_type = None
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    # The type _Float64.
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    float64_type = None
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    # The type _Complex _Float64.
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    complex_float64_type = None
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    # The type _Float32x.
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    float32x_type = None
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    # The type _Complex _Float32x.
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    complex_float32x_type = None
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    # The type _Float64x.
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    float64x_type = None
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    def __init__(self, name, suffix=None, mant_dig=None, condition='1',
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                 order=None, integer=False, complex=False, real_type=None,
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                 floatnx=False):
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        """Initialize a Type object, creating any corresponding complex type
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        in the process."""
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        self.name = name
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        self.suffix = suffix
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        self.mant_dig = mant_dig
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        self.condition = condition
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        self.order = order
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        self.integer = integer
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        self.complex = complex
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        self.floatnx = floatnx
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        if complex:
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            self.complex_type = self
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            self.real_type = real_type
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        else:
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            # complex_type filled in by the caller once created.
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            self.complex_type = None
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            self.real_type = self
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    def register_type(self, internal):
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        """Record a type in the lists of all types."""
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        Type.all_types_list.append(self)
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        if not internal:
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            Type.argument_types_list.append(self)
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            if not self.complex:
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                Type.real_argument_types_list.append(self)
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                if not self.name.startswith('_Float'):
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                    Type.standard_real_argument_types_list.append(self)
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        if self.order is not None:
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            Type.real_types_order[self.order] = self
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        if self.name == 'double':
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            Type.double_type = self
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        if self.name == 'long double':
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            Type.long_double_type = self
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        if self.name == '_Complex double':
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            Type.complex_double_type = self
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        if self.name == '_Float64':
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            Type.float64_type = self
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        if self.name == '_Complex _Float64':
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            Type.complex_float64_type = self
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        if self.name == '_Float32x':
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            Type.float32x_type = self
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        if self.name == '_Complex _Float32x':
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            Type.complex_float32x_type = self
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        if self.name == '_Float64x':
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            Type.float64x_type = self
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    @staticmethod
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    def create_type(name, suffix=None, mant_dig=None, condition='1', order=None,
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                    integer=False, complex_name=None, complex_ok=True,
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                    floatnx=False, internal=False):
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        """Create and register a Type object for a real type, creating any
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        corresponding complex type in the process."""
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        real_type = Type(name, suffix=suffix, mant_dig=mant_dig,
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                         condition=condition, order=order, integer=integer,
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                         complex=False, floatnx=floatnx)
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        if complex_ok:
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            if complex_name is None:
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                complex_name = '_Complex %s' % name
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            complex_type = Type(complex_name, condition=condition,
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                                integer=integer, complex=True,
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                                real_type=real_type, floatnx=floatnx)
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        else:
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            complex_type = None
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        real_type.complex_type = complex_type
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        real_type.register_type(internal)
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        if complex_type is not None:
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            complex_type.register_type(internal)
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    def floating_type(self, integer_float32x):
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        """Return the corresponding floating type."""
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        if self.integer:
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            if integer_float32x:
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                return (Type.complex_float32x_type
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                        if self.complex
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                        else Type.float32x_type)
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            else:
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                return (Type.complex_double_type
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                        if self.complex
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                        else Type.double_type)
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        else:
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            return self
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    def real_floating_type(self, integer_float32x):
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        """Return the corresponding real floating type."""
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        return self.real_type.floating_type(integer_float32x)
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    def __str__(self):
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        """Return string representation of a type."""
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        return self.name
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    @staticmethod
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    def init_types():
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        """Initialize all the known types."""
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        Type.create_type('_Float16', 'f16', 'FLT16_MANT_DIG',
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                         complex_name='__CFLOAT16',
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                         condition='defined HUGE_VAL_F16', order=(0, 0))
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        Type.create_type('float', 'f', 'FLT_MANT_DIG', order=(1, 1))
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        Type.create_type('_Float32', 'f32', 'FLT32_MANT_DIG',
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                         complex_name='__CFLOAT32',
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                         condition='defined HUGE_VAL_F32', order=(2, 2))
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        Type.create_type('_Float32x', 'f32x', 'FLT32X_MANT_DIG',
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                         complex_name='__CFLOAT32X',
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                         condition='defined HUGE_VAL_F32X', order=(3, 3),
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                         floatnx=True)
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        Type.create_type('double', '', 'DBL_MANT_DIG', order=(4, 4))
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        Type.create_type('long double', 'l', 'LDBL_MANT_DIG', order=(5, 7))
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        Type.create_type('_Float64', 'f64', 'FLT64_MANT_DIG',
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                         complex_name='__CFLOAT64',
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                         condition='defined HUGE_VAL_F64', order=(6, 5))
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        Type.create_type('_Float64x', 'f64x', 'FLT64X_MANT_DIG',
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                         complex_name='__CFLOAT64X',
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                         condition='defined HUGE_VAL_F64X', order=(7, 6),
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                         floatnx=True)
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        Type.create_type('_Float128', 'f128', 'FLT128_MANT_DIG',
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                         complex_name='__CFLOAT128',
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                         condition='defined HUGE_VAL_F128', order=(8, 8))
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        Type.create_type('char', integer=True)
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        Type.create_type('signed char', integer=True)
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        Type.create_type('unsigned char', integer=True)
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        Type.create_type('short int', integer=True)
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        Type.create_type('unsigned short int', integer=True)
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        Type.create_type('int', integer=True)
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        Type.create_type('unsigned int', integer=True)
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        Type.create_type('long int', integer=True)
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        Type.create_type('unsigned long int', integer=True)
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        Type.create_type('long long int', integer=True)
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        Type.create_type('unsigned long long int', integer=True)
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        Type.create_type('__int128', integer=True,
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                         condition='defined __SIZEOF_INT128__')
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        Type.create_type('unsigned __int128', integer=True,
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                         condition='defined __SIZEOF_INT128__')
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        Type.create_type('enum e', integer=True, complex_ok=False)
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        Type.create_type('_Bool', integer=True, complex_ok=False)
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        Type.create_type('bit_field', integer=True, complex_ok=False)
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        # Internal types represent the combination of long double with
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        # _Float64 or _Float64x, for which the ordering depends on
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        # whether long double has the same format as double.
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        Type.create_type('long_double_Float64', None, 'LDBL_MANT_DIG',
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                         complex_name='complex_long_double_Float64',
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                         condition='defined HUGE_VAL_F64', order=(6, 7),
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                         internal=True)
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        Type.create_type('long_double_Float64x', None, 'FLT64X_MANT_DIG',
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                         complex_name='complex_long_double_Float64x',
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                         condition='defined HUGE_VAL_F64X', order=(7, 7),
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                         internal=True)
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    @staticmethod
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    def can_combine_types(types):
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        """Return a C preprocessor conditional for whether the given list of
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        types can be used together as type-generic macro arguments."""
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        have_long_double = False
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        have_float128 = False
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        integer_float32x = any(t.floatnx for t in types)
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        for t in types:
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            t = t.real_floating_type(integer_float32x)
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            if t.name == 'long double':
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                have_long_double = True
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            if t.name == '_Float128' or t.name == '_Float64x':
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                have_float128 = True
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        if have_long_double and have_float128:
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            # If ibm128 format is in use for long double, both
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            # _Float64x and _Float128 are binary128 and the types
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            # cannot be combined.
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            return '(LDBL_MANT_DIG != 106)'
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        return '1'
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    @staticmethod
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    def combine_types(types):
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        """Return the result of combining a set of types."""
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        have_complex = False
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        combined = None
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        integer_float32x = any(t.floatnx for t in types)
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        for t in types:
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            if t.complex:
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                have_complex = True
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            t = t.real_floating_type(integer_float32x)
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            if combined is None:
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                combined = t
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            else:
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                order = (max(combined.order[0], t.order[0]),
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                         max(combined.order[1], t.order[1]))
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                combined = Type.real_types_order[order]
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        return combined.complex_type if have_complex else combined
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def list_product_initial(initial, lists):
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    """Return a list of lists, with an initial sequence from the first
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    argument (a list of lists) followed by each sequence of one
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    element from each successive element of the second argument."""
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    if not lists:
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        return initial
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    return list_product_initial([a + [b] for a in initial for b in lists[0]],
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                                lists[1:])
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def list_product(lists):
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    """Return a list of lists, with each sequence of one element from each
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    successive element of the argument."""
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    return list_product_initial([[]], lists)
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try:
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    trans_id = str.maketrans(' *', '_p')
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except AttributeError:
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    trans_id = string.maketrans(' *', '_p')
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def var_for_type(name):
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    """Return the name of a variable with a given type (name)."""
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    return 'var_%s' % name.translate(trans_id)
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def vol_var_for_type(name):
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    """Return the name of a variable with a given volatile type (name)."""
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    return 'vol_var_%s' % name.translate(trans_id)
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def define_vars_for_type(name):
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    """Return the definitions of variables with a given type (name)."""
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    if name == 'bit_field':
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        struct_vars = define_vars_for_type('struct s');
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        return '%s#define %s %s.bf\n' % (struct_vars,
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                                         vol_var_for_type(name),
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                                         vol_var_for_type('struct s'))
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    return ('%s %s __attribute__ ((unused));\n'
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            '%s volatile %s __attribute__ ((unused));\n'
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            % (name, var_for_type(name), name, vol_var_for_type(name)))
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def if_cond_text(conds, text):
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    """Return the result of making some text conditional under #if.  The
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    text ends with a newline, as does the return value if not empty."""
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    if '0' in conds:
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        return ''
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    conds = [c for c in conds if c != '1']
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    conds = sorted(set(conds))
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    if not conds:
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        return text
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    return '#if %s\n%s#endif\n' % (' && '.join(conds), text)
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class Tests(object):
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    """The state associated with testcase generation."""
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    def __init__(self):
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        """Initialize a Tests object."""
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        self.header_list = ['#define __STDC_WANT_IEC_60559_TYPES_EXT__\n'
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                            '#include <float.h>\n'
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                            '#include <stdbool.h>\n'
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                            '#include <stdint.h>\n'
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                            '#include <stdio.h>\n'
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                            '#include <string.h>\n'
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                            '#include <tgmath.h>\n'
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                            '\n'
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                            'struct test\n'
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                            '  {\n'
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                            '    void (*func) (void);\n'
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                            '    const char *func_name;\n'
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                            '    const char *test_name;\n'
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                            '    int mant_dig;\n'
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                            '    int narrow_mant_dig;\n'
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                            '  };\n'
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                            'int num_pass, num_fail;\n'
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                            'volatile int called_mant_dig;\n'
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                            'const char *volatile called_func_name;\n'
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                            'enum e { E, F };\n'
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                            'struct s\n'
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                            '  {\n'
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                            '    int bf:2;\n'
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                            '  };\n']
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        float64_text = ('# if LDBL_MANT_DIG == DBL_MANT_DIG\n'
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                        'typedef _Float64 long_double_Float64;\n'
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                        'typedef __CFLOAT64 complex_long_double_Float64;\n'
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                        '# else\n'
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                        'typedef long double long_double_Float64;\n'
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                        'typedef _Complex long double '
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                        'complex_long_double_Float64;\n'
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                        '# endif\n')
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        float64_text = if_cond_text([Type.float64_type.condition],
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                                    float64_text)
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        float64x_text = ('# if LDBL_MANT_DIG == DBL_MANT_DIG\n'
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                         'typedef _Float64x long_double_Float64x;\n'
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                         'typedef __CFLOAT64X complex_long_double_Float64x;\n'
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                         '# else\n'
 | 
						|
                         'typedef long double long_double_Float64x;\n'
 | 
						|
                         'typedef _Complex long double '
 | 
						|
                         'complex_long_double_Float64x;\n'
 | 
						|
                         '# endif\n')
 | 
						|
        float64x_text = if_cond_text([Type.float64x_type.condition],
 | 
						|
                                     float64x_text)
 | 
						|
        self.header_list.append(float64_text)
 | 
						|
        self.header_list.append(float64x_text)
 | 
						|
        self.types_seen = set()
 | 
						|
        for t in Type.all_types_list:
 | 
						|
            self.add_type_var(t.name, t.condition)
 | 
						|
        self.test_text_list = []
 | 
						|
        self.test_array_list = []
 | 
						|
        self.macros_seen = set()
 | 
						|
 | 
						|
    def add_type_var(self, name, cond):
 | 
						|
        """Add declarations of variables for a type."""
 | 
						|
        if name in self.types_seen:
 | 
						|
            return
 | 
						|
        t_vars = define_vars_for_type(name)
 | 
						|
        self.header_list.append(if_cond_text([cond], t_vars))
 | 
						|
        self.types_seen.add(name)
 | 
						|
 | 
						|
    def add_tests(self, macro, ret, args, complex_func=None):
 | 
						|
        """Add tests for a given tgmath.h macro, if that is the macro for
 | 
						|
        which tests are to be generated; otherwise just add it to the
 | 
						|
        list of macros for which test generation is supported."""
 | 
						|
        # 'c' means the function argument or return type is
 | 
						|
        # type-generic and complex only (a complex function argument
 | 
						|
        # may still have a real macro argument).  'g' means it is
 | 
						|
        # type-generic and may be real or complex; 'r' means it is
 | 
						|
        # type-generic and may only be real; 's' means the same as
 | 
						|
        # 'r', but restricted to float, double and long double.
 | 
						|
        self.macros_seen.add(macro)
 | 
						|
        if macro != self.macro:
 | 
						|
            return
 | 
						|
        have_complex = False
 | 
						|
        func = macro
 | 
						|
        narrowing = False
 | 
						|
        narrowing_std = False
 | 
						|
        if ret == 'c' or 'c' in args:
 | 
						|
            # Complex-only.
 | 
						|
            have_complex = True
 | 
						|
            complex_func = func
 | 
						|
            func = None
 | 
						|
        elif ret == 'g' or 'g' in args:
 | 
						|
            # Real and complex.
 | 
						|
            have_complex = True
 | 
						|
            if complex_func is None:
 | 
						|
                complex_func = 'c%s' % func
 | 
						|
        # For narrowing macros, compute narrow_args, the list of
 | 
						|
        # argument types for which there is an actual corresponding
 | 
						|
        # function.  If none of those types exist, or the return type
 | 
						|
        # does not exist, then the macro is not defined and no tests
 | 
						|
        # of it can be run.
 | 
						|
        if ret == 'float':
 | 
						|
            narrowing = True
 | 
						|
            narrowing_std = True
 | 
						|
            narrow_cond = '1'
 | 
						|
            narrow_args = [Type.double_type, Type.long_double_type]
 | 
						|
        elif ret == 'double':
 | 
						|
            narrowing = True
 | 
						|
            narrowing_std = True
 | 
						|
            narrow_cond = '1'
 | 
						|
            narrow_args = [Type.long_double_type]
 | 
						|
        elif ret.startswith('_Float'):
 | 
						|
            narrowing = True
 | 
						|
            narrow_args_1 = []
 | 
						|
            narrow_args_2 = []
 | 
						|
            nret_type = None
 | 
						|
            for order, real_type in sorted(Type.real_types_order.items()):
 | 
						|
                if real_type.name == ret:
 | 
						|
                    nret_type = real_type
 | 
						|
                elif nret_type and real_type.name.startswith('_Float'):
 | 
						|
                    if ret.endswith('x') == real_type.name.endswith('x'):
 | 
						|
                        narrow_args_1.append(real_type)
 | 
						|
                    else:
 | 
						|
                        narrow_args_2.append(real_type)
 | 
						|
            narrow_args = narrow_args_1 + narrow_args_2
 | 
						|
            if narrow_args:
 | 
						|
                narrow_cond = ('(%s && (%s))'
 | 
						|
                               % (nret_type.condition,
 | 
						|
                                  ' || '.join(t.condition
 | 
						|
                                              for t in narrow_args)))
 | 
						|
            else:
 | 
						|
                # No possible argument types, even conditionally.
 | 
						|
                narrow_cond = '0'
 | 
						|
        types = [ret] + args
 | 
						|
        for t in types:
 | 
						|
            if t != 'c' and t != 'g' and t != 'r' and t != 's':
 | 
						|
                self.add_type_var(t, '1')
 | 
						|
        for t in Type.argument_types_list:
 | 
						|
            if t.integer:
 | 
						|
                continue
 | 
						|
            if t.complex and not have_complex:
 | 
						|
                continue
 | 
						|
            if func is None and not t.complex:
 | 
						|
                continue
 | 
						|
            if ret == 's' and t.name.startswith('_Float'):
 | 
						|
                continue
 | 
						|
            if narrowing and t not in narrow_args:
 | 
						|
                continue
 | 
						|
            if ret == 'c':
 | 
						|
                ret_name = t.complex_type.name
 | 
						|
            elif ret == 'g':
 | 
						|
                ret_name = t.name
 | 
						|
            elif ret == 'r' or ret == 's':
 | 
						|
                ret_name = t.real_type.name
 | 
						|
            else:
 | 
						|
                ret_name = ret
 | 
						|
            dummy_func_name = complex_func if t.complex else func
 | 
						|
            arg_list = []
 | 
						|
            arg_num = 0
 | 
						|
            for a in args:
 | 
						|
                if a == 'c':
 | 
						|
                    arg_name = t.complex_type.name
 | 
						|
                elif a == 'g':
 | 
						|
                    arg_name = t.name
 | 
						|
                elif a == 'r' or a == 's':
 | 
						|
                    arg_name = t.real_type.name
 | 
						|
                else:
 | 
						|
                    arg_name = a
 | 
						|
                arg_list.append('%s arg%d __attribute__ ((unused))'
 | 
						|
                                % (arg_name, arg_num))
 | 
						|
                arg_num += 1
 | 
						|
            dummy_func = ('%s\n'
 | 
						|
                          '(%s%s) (%s)\n'
 | 
						|
                          '{\n'
 | 
						|
                          '  called_mant_dig = %s;\n'
 | 
						|
                          '  called_func_name = "%s";\n'
 | 
						|
                          '  return 0;\n'
 | 
						|
                          '}\n' % (ret_name, dummy_func_name,
 | 
						|
                                   t.real_type.suffix, ', '.join(arg_list),
 | 
						|
                                   t.real_type.mant_dig, dummy_func_name))
 | 
						|
            if narrowing:
 | 
						|
                dummy_cond = [narrow_cond, t.condition]
 | 
						|
            else:
 | 
						|
                dummy_cond = [t.condition]
 | 
						|
            dummy_func = if_cond_text(dummy_cond, dummy_func)
 | 
						|
            self.test_text_list.append(dummy_func)
 | 
						|
        arg_types = []
 | 
						|
        for t in args:
 | 
						|
            if t == 'g' or t == 'c':
 | 
						|
                arg_types.append(Type.argument_types_list)
 | 
						|
            elif t == 'r':
 | 
						|
                arg_types.append(Type.real_argument_types_list)
 | 
						|
            elif t == 's':
 | 
						|
                arg_types.append(Type.standard_real_argument_types_list)
 | 
						|
        arg_types_product = list_product(arg_types)
 | 
						|
        test_num = 0
 | 
						|
        for this_args in arg_types_product:
 | 
						|
            comb_type = Type.combine_types(this_args)
 | 
						|
            if narrowing:
 | 
						|
                # As long as there are no integer arguments, and as
 | 
						|
                # long as the chosen argument type is as wide as all
 | 
						|
                # the floating-point arguments passed, the semantics
 | 
						|
                # of the macro call do not depend on the exact
 | 
						|
                # function chosen.  In particular, for f32x functions
 | 
						|
                # when _Float64x exists, the chosen type should differ
 | 
						|
                # for double / _Float32x and _Float64 arguments, but
 | 
						|
                # it is not always possible to distinguish those types
 | 
						|
                # before GCC 7 (resulting in some cases - only real
 | 
						|
                # arguments - where a wider argument type is used,
 | 
						|
                # which is semantically OK, and others - integer
 | 
						|
                # arguments present - where it may not be OK, but is
 | 
						|
                # unavoidable).
 | 
						|
                narrow_mant_dig = comb_type.real_type.mant_dig
 | 
						|
                for arg_type in this_args:
 | 
						|
                    if arg_type.integer:
 | 
						|
                        narrow_mant_dig = 0
 | 
						|
            else:
 | 
						|
                narrow_mant_dig = 0
 | 
						|
            can_comb = Type.can_combine_types(this_args)
 | 
						|
            all_conds = [t.condition for t in this_args]
 | 
						|
            narrow_args_cond = '(%s)' % ' && '.join(sorted(set(all_conds)))
 | 
						|
            all_conds.append(can_comb)
 | 
						|
            if narrowing:
 | 
						|
                all_conds.append(narrow_cond)
 | 
						|
            any_complex = func is None
 | 
						|
            for t in this_args:
 | 
						|
                if t.complex:
 | 
						|
                    any_complex = True
 | 
						|
            func_name = complex_func if any_complex else func
 | 
						|
            test_name = '%s (%s)' % (macro,
 | 
						|
                                     ', '.join([t.name for t in this_args]))
 | 
						|
            test_func_name = 'test_%s_%d' % (macro, test_num)
 | 
						|
            test_num += 1
 | 
						|
            mant_dig = comb_type.real_type.mant_dig
 | 
						|
            test_mant_dig_comp = ''
 | 
						|
            if (narrowing
 | 
						|
                and comb_type not in narrow_args):
 | 
						|
                # The expected argument type is the first in
 | 
						|
                # narrow_args that can represent all the values of
 | 
						|
                # comb_type (which, for the supported cases, means the
 | 
						|
                # first with mant_dig at least as large as that for
 | 
						|
                # comb_type, provided this isn't the case of an IBM
 | 
						|
                # long double argument with binary128 type from
 | 
						|
                # narrow_args).
 | 
						|
                narrow_extra_conds = []
 | 
						|
                test_mant_dig_list = ['#undef NARROW_MANT_DIG\n#if 0\n']
 | 
						|
                for t in narrow_args:
 | 
						|
                    t_cond = '(%s && %s && %s <= %s && %s)' % (
 | 
						|
                        narrow_args_cond, t.condition, mant_dig, t.mant_dig,
 | 
						|
                        Type.can_combine_types(this_args + [t]))
 | 
						|
                    narrow_extra_conds.append(t_cond)
 | 
						|
                    test_mant_dig_list.append('#elif %s\n'
 | 
						|
                                              '#define NARROW_MANT_DIG %s\n'
 | 
						|
                                              % (t_cond, t.mant_dig))
 | 
						|
                test_mant_dig_list.append('#endif\n')
 | 
						|
                test_mant_dig_comp = ''.join(test_mant_dig_list)
 | 
						|
                all_conds.append('(%s)' % ' || '.join(narrow_extra_conds))
 | 
						|
                # A special case where this logic isn't correct is
 | 
						|
                # where comb_type is the internal long_double_Float64
 | 
						|
                # or long_double_Float64x, which will be detected as
 | 
						|
                # not in narrow_args even if the actual type chosen in
 | 
						|
                # a particular configuration would have been in
 | 
						|
                # narrow_args, so check for that case and handle it
 | 
						|
                # appropriately.  In particular, if long double has
 | 
						|
                # the same format as double and there are long double
 | 
						|
                # and _Float64 arguments, and the macro returns
 | 
						|
                # _Float32x, the function called should be one for
 | 
						|
                # _Float64 arguments, not one for _Float64x arguments
 | 
						|
                # that would arise from this logic.
 | 
						|
                if comb_type.real_type.name == 'long_double_Float64':
 | 
						|
                    comb_type_1 = Type.long_double_type
 | 
						|
                    comb_type_2 = Type.float64_type
 | 
						|
                    comb_type_is_2_cond = 'LDBL_MANT_DIG <= FLT64_MANT_DIG'
 | 
						|
                elif comb_type.real_type.name == 'long_double_Float64x':
 | 
						|
                    comb_type_1 = Type.long_double_type
 | 
						|
                    comb_type_2 = Type.float64x_type
 | 
						|
                    comb_type_is_2_cond = 'LDBL_MANT_DIG < FLT64X_MANT_DIG'
 | 
						|
                else:
 | 
						|
                    comb_type_1 = None
 | 
						|
                    comb_type_2 = None
 | 
						|
                if comb_type_1 is None:
 | 
						|
                    mant_dig = 'NARROW_MANT_DIG'
 | 
						|
                else:
 | 
						|
                    mant_dig = ''
 | 
						|
                    if comb_type_1 in narrow_args:
 | 
						|
                        mant_dig += '!(%s) ? %s : ' % (comb_type_is_2_cond,
 | 
						|
                                                       comb_type_1.mant_dig)
 | 
						|
                    if comb_type_2 in narrow_args:
 | 
						|
                        mant_dig += '%s ? %s : ' % (comb_type_is_2_cond,
 | 
						|
                                                    comb_type_2.mant_dig)
 | 
						|
                    mant_dig += 'NARROW_MANT_DIG'
 | 
						|
                if narrow_mant_dig != 0:
 | 
						|
                    narrow_mant_dig = mant_dig
 | 
						|
            test_text = '%s, "%s", "%s", %s, %s' % (test_func_name, func_name,
 | 
						|
                                                    test_name, mant_dig,
 | 
						|
                                                    narrow_mant_dig)
 | 
						|
            test_text = '%s    { %s },\n' % (test_mant_dig_comp, test_text)
 | 
						|
            test_text = if_cond_text(all_conds, test_text)
 | 
						|
            self.test_array_list.append(test_text)
 | 
						|
            call_args = []
 | 
						|
            call_arg_pos = 0
 | 
						|
            for t in args:
 | 
						|
                if t == 'g' or t == 'c' or t == 'r' or t == 's':
 | 
						|
                    type = this_args[call_arg_pos].name
 | 
						|
                    call_arg_pos += 1
 | 
						|
                else:
 | 
						|
                    type = t
 | 
						|
                call_args.append(vol_var_for_type(type))
 | 
						|
            call_args_text = ', '.join(call_args)
 | 
						|
            if ret == 'g':
 | 
						|
                ret_type = comb_type.name
 | 
						|
            elif ret == 'r' or ret == 's':
 | 
						|
                ret_type = comb_type.real_type.name
 | 
						|
            elif ret == 'c':
 | 
						|
                ret_type = comb_type.complex_type.name
 | 
						|
            else:
 | 
						|
                ret_type = ret
 | 
						|
            call_text = '%s (%s)' % (macro, call_args_text)
 | 
						|
            test_func_text = ('static void\n'
 | 
						|
                              '%s (void)\n'
 | 
						|
                              '{\n'
 | 
						|
                              '  extern typeof (%s) %s '
 | 
						|
                              '__attribute__ ((unused));\n'
 | 
						|
                              '  %s = %s;\n'
 | 
						|
                              '}\n' % (test_func_name, call_text,
 | 
						|
                                       var_for_type(ret_type),
 | 
						|
                                       vol_var_for_type(ret_type), call_text))
 | 
						|
            test_func_text = if_cond_text(all_conds, test_func_text)
 | 
						|
            self.test_text_list.append(test_func_text)
 | 
						|
 | 
						|
    def add_all_tests(self, macro):
 | 
						|
        """Add tests for the given tgmath.h macro, if any, and generate the
 | 
						|
        list of all supported macros."""
 | 
						|
        self.macro = macro
 | 
						|
        # C99/C11 real-only functions.
 | 
						|
        self.add_tests('atan2', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('cbrt', 'r', ['r'])
 | 
						|
        self.add_tests('ceil', 'r', ['r'])
 | 
						|
        self.add_tests('copysign', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('erf', 'r', ['r'])
 | 
						|
        self.add_tests('erfc', 'r', ['r'])
 | 
						|
        self.add_tests('exp2', 'r', ['r'])
 | 
						|
        self.add_tests('expm1', 'r', ['r'])
 | 
						|
        self.add_tests('fdim', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('floor', 'r', ['r'])
 | 
						|
        self.add_tests('fma', 'r', ['r', 'r', 'r'])
 | 
						|
        self.add_tests('fmax', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('fmin', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('fmod', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('frexp', 'r', ['r', 'int *'])
 | 
						|
        self.add_tests('hypot', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('ilogb', 'int', ['r'])
 | 
						|
        self.add_tests('ldexp', 'r', ['r', 'int'])
 | 
						|
        self.add_tests('lgamma', 'r', ['r'])
 | 
						|
        self.add_tests('llrint', 'long long int', ['r'])
 | 
						|
        self.add_tests('llround', 'long long int', ['r'])
 | 
						|
        # log10 is real-only in ISO C, but supports complex arguments
 | 
						|
        # as a GNU extension.
 | 
						|
        self.add_tests('log10', 'g', ['g'])
 | 
						|
        self.add_tests('log1p', 'r', ['r'])
 | 
						|
        self.add_tests('log2', 'r', ['r'])
 | 
						|
        self.add_tests('logb', 'r', ['r'])
 | 
						|
        self.add_tests('lrint', 'long int', ['r'])
 | 
						|
        self.add_tests('lround', 'long int', ['r'])
 | 
						|
        self.add_tests('nearbyint', 'r', ['r'])
 | 
						|
        self.add_tests('nextafter', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('nexttoward', 's', ['s', 'long double'])
 | 
						|
        self.add_tests('remainder', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('remquo', 'r', ['r', 'r', 'int *'])
 | 
						|
        self.add_tests('rint', 'r', ['r'])
 | 
						|
        self.add_tests('round', 'r', ['r'])
 | 
						|
        self.add_tests('scalbn', 'r', ['r', 'int'])
 | 
						|
        self.add_tests('scalbln', 'r', ['r', 'long int'])
 | 
						|
        self.add_tests('tgamma', 'r', ['r'])
 | 
						|
        self.add_tests('trunc', 'r', ['r'])
 | 
						|
        # C99/C11 real-and-complex functions.
 | 
						|
        self.add_tests('acos', 'g', ['g'])
 | 
						|
        self.add_tests('asin', 'g', ['g'])
 | 
						|
        self.add_tests('atan', 'g', ['g'])
 | 
						|
        self.add_tests('acosh', 'g', ['g'])
 | 
						|
        self.add_tests('asinh', 'g', ['g'])
 | 
						|
        self.add_tests('atanh', 'g', ['g'])
 | 
						|
        self.add_tests('cos', 'g', ['g'])
 | 
						|
        self.add_tests('sin', 'g', ['g'])
 | 
						|
        self.add_tests('tan', 'g', ['g'])
 | 
						|
        self.add_tests('cosh', 'g', ['g'])
 | 
						|
        self.add_tests('sinh', 'g', ['g'])
 | 
						|
        self.add_tests('tanh', 'g', ['g'])
 | 
						|
        self.add_tests('exp', 'g', ['g'])
 | 
						|
        self.add_tests('log', 'g', ['g'])
 | 
						|
        self.add_tests('pow', 'g', ['g', 'g'])
 | 
						|
        self.add_tests('sqrt', 'g', ['g'])
 | 
						|
        self.add_tests('fabs', 'r', ['g'], 'cabs')
 | 
						|
        # C99/C11 complex-only functions.
 | 
						|
        self.add_tests('carg', 'r', ['c'])
 | 
						|
        self.add_tests('cimag', 'r', ['c'])
 | 
						|
        self.add_tests('conj', 'c', ['c'])
 | 
						|
        self.add_tests('cproj', 'c', ['c'])
 | 
						|
        self.add_tests('creal', 'r', ['c'])
 | 
						|
        # TS 18661-1 functions.
 | 
						|
        self.add_tests('roundeven', 'r', ['r'])
 | 
						|
        self.add_tests('nextup', 'r', ['r'])
 | 
						|
        self.add_tests('nextdown', 'r', ['r'])
 | 
						|
        self.add_tests('fminmag', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('fmaxmag', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('llogb', 'long int', ['r'])
 | 
						|
        self.add_tests('fromfp', 'intmax_t', ['r', 'int', 'unsigned int'])
 | 
						|
        self.add_tests('fromfpx', 'intmax_t', ['r', 'int', 'unsigned int'])
 | 
						|
        self.add_tests('ufromfp', 'uintmax_t', ['r', 'int', 'unsigned int'])
 | 
						|
        self.add_tests('ufromfpx', 'uintmax_t', ['r', 'int', 'unsigned int'])
 | 
						|
        for fn, args in (('add', 2), ('div', 2), ('fma', 3), ('mul', 2),
 | 
						|
                         ('sqrt', 1), ('sub', 2)):
 | 
						|
            for ret, prefix in (('float', 'f'),
 | 
						|
                                ('double', 'd'),
 | 
						|
                                ('_Float16', 'f16'),
 | 
						|
                                ('_Float32', 'f32'),
 | 
						|
                                ('_Float64', 'f64'),
 | 
						|
                                ('_Float128', 'f128'),
 | 
						|
                                ('_Float32x', 'f32x'),
 | 
						|
                                ('_Float64x', 'f64x')):
 | 
						|
                self.add_tests(prefix + fn, ret, ['r'] * args)
 | 
						|
        # TS 18661-4 functions.
 | 
						|
        self.add_tests('acospi', 'r', ['r'])
 | 
						|
        self.add_tests('asinpi', 'r', ['r'])
 | 
						|
        self.add_tests('atan2pi', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('atanpi', 'r', ['r'])
 | 
						|
        self.add_tests('compoundn', 'r', ['r', 'long long int'])
 | 
						|
        self.add_tests('cospi', 'r', ['r'])
 | 
						|
        self.add_tests('exp10', 'r', ['r'])
 | 
						|
        self.add_tests('exp2m1', 'r', ['r'])
 | 
						|
        self.add_tests('exp10m1', 'r', ['r'])
 | 
						|
        self.add_tests('log2p1', 'r', ['r'])
 | 
						|
        self.add_tests('log10p1', 'r', ['r'])
 | 
						|
        self.add_tests('logp1', 'r', ['r'])
 | 
						|
        self.add_tests('pown', 'r', ['r', 'long long int'])
 | 
						|
        self.add_tests('powr', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('rootn', 'r', ['r', 'long long int'])
 | 
						|
        self.add_tests('rsqrt', 'r', ['r'])
 | 
						|
        self.add_tests('sinpi', 'r', ['r'])
 | 
						|
        self.add_tests('tanpi', 'r', ['r'])
 | 
						|
        # C23 functions.
 | 
						|
        self.add_tests('fmaximum', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('fmaximum_mag', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('fmaximum_num', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('fmaximum_mag_num', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('fminimum', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('fminimum_mag', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('fminimum_num', 'r', ['r', 'r'])
 | 
						|
        self.add_tests('fminimum_mag_num', 'r', ['r', 'r'])
 | 
						|
        # Miscellaneous functions.
 | 
						|
        self.add_tests('scalb', 's', ['s', 's'])
 | 
						|
 | 
						|
    def tests_text(self):
 | 
						|
        """Return the text of the generated testcase."""
 | 
						|
        test_list = [''.join(self.test_text_list),
 | 
						|
                     'static const struct test tests[] =\n'
 | 
						|
                     '  {\n',
 | 
						|
                     ''.join(self.test_array_list),
 | 
						|
                     '  };\n']
 | 
						|
        footer_list = ['static int\n'
 | 
						|
                       'do_test (void)\n'
 | 
						|
                       '{\n'
 | 
						|
                       '  for (size_t i = 0;\n'
 | 
						|
                       '       i < sizeof (tests) / sizeof (tests[0]);\n'
 | 
						|
                       '       i++)\n'
 | 
						|
                       '    {\n'
 | 
						|
                       '      called_mant_dig = 0;\n'
 | 
						|
                       '      called_func_name = "";\n'
 | 
						|
                       '      tests[i].func ();\n'
 | 
						|
                       '      if (called_mant_dig == tests[i].mant_dig\n'
 | 
						|
                       '          && strcmp (called_func_name,\n'
 | 
						|
                       '                     tests[i].func_name) == 0)\n'
 | 
						|
                       '        num_pass++;\n'
 | 
						|
                       '#if !__GNUC_PREREQ (7, 0)\n'
 | 
						|
                       '      else if (tests[i].narrow_mant_dig > 0\n'
 | 
						|
                       '               && (called_mant_dig\n'
 | 
						|
                       '                   >= tests[i].narrow_mant_dig)\n'
 | 
						|
                       '               && strcmp (called_func_name,\n'
 | 
						|
                       '                          tests[i].func_name) == 0)\n'
 | 
						|
                       '        {\n'
 | 
						|
                       '          num_pass++;\n'
 | 
						|
                       '          printf ("Test %zu (%s):\\n"\n'
 | 
						|
                       '                  "  Expected: %s precision %d\\n"\n'
 | 
						|
                       '                  "  Actual: %s precision %d\\n"\n'
 | 
						|
                       '                  "  (OK with old GCC)\\n\\n",\n'
 | 
						|
                       '                  i, tests[i].test_name,\n'
 | 
						|
                       '                  tests[i].func_name,\n'
 | 
						|
                       '                  tests[i].mant_dig,\n'
 | 
						|
                       '                  called_func_name, called_mant_dig);\n'
 | 
						|
                       '        }\n'
 | 
						|
                       '      else if (tests[i].narrow_mant_dig == 0\n'
 | 
						|
                       '               && strcmp (called_func_name,\n'
 | 
						|
                       '                          tests[i].func_name) == 0)\n'
 | 
						|
                       '        {\n'
 | 
						|
                       '          num_pass++;\n'
 | 
						|
                       '          printf ("Test %zu (%s):\\n"\n'
 | 
						|
                       '                  "  Expected: %s precision %d\\n"\n'
 | 
						|
                       '                  "  Actual: %s precision %d\\n"\n'
 | 
						|
                       '                  "  (unavoidable with old GCC)'
 | 
						|
                       '\\n\\n",\n'
 | 
						|
                       '                  i, tests[i].test_name,\n'
 | 
						|
                       '                  tests[i].func_name,\n'
 | 
						|
                       '                  tests[i].mant_dig,\n'
 | 
						|
                       '                  called_func_name, called_mant_dig);\n'
 | 
						|
                       '        }\n'
 | 
						|
                       '#endif\n'
 | 
						|
                       '      else\n'
 | 
						|
                       '        {\n'
 | 
						|
                       '          num_fail++;\n'
 | 
						|
                       '          printf ("Test %zu (%s):\\n"\n'
 | 
						|
                       '                  "  Expected: %s precision %d\\n"\n'
 | 
						|
                       '                  "  Actual: %s precision %d\\n\\n",\n'
 | 
						|
                       '                  i, tests[i].test_name,\n'
 | 
						|
                       '                  tests[i].func_name,\n'
 | 
						|
                       '                  tests[i].mant_dig,\n'
 | 
						|
                       '                  called_func_name, called_mant_dig);\n'
 | 
						|
                       '        }\n'
 | 
						|
                       '    }\n'
 | 
						|
                       '  printf ("%d pass, %d fail\\n", num_pass, num_fail);\n'
 | 
						|
                       '  return num_fail != 0;\n'
 | 
						|
                       '}\n'
 | 
						|
                       '\n'
 | 
						|
                       '#include <support/test-driver.c>']
 | 
						|
        return ''.join(self.header_list + test_list + footer_list)
 | 
						|
 | 
						|
    def check_macro_list(self, macro_list):
 | 
						|
        """Check the list of macros that can be tested."""
 | 
						|
        if self.macros_seen != set(macro_list):
 | 
						|
            print('error: macro list mismatch')
 | 
						|
            sys.exit(1)
 | 
						|
 | 
						|
def main():
 | 
						|
    """The main entry point."""
 | 
						|
    Type.init_types()
 | 
						|
    t = Tests()
 | 
						|
    if sys.argv[1] == 'check-list':
 | 
						|
        macro = None
 | 
						|
        macro_list = sys.argv[2:]
 | 
						|
    else:
 | 
						|
        macro = sys.argv[1]
 | 
						|
        macro_list = []
 | 
						|
    t.add_all_tests(macro)
 | 
						|
    if macro:
 | 
						|
        print(t.tests_text())
 | 
						|
    else:
 | 
						|
        t.check_macro_list(macro_list)
 | 
						|
 | 
						|
if __name__ == '__main__':
 | 
						|
    main()
 |