
#if !(defined(__DBL_MIN_EXP__) || defined(__coverity_undefine___DBL_MIN_EXP__))
#define __DBL_MIN_EXP__ (-1021)
#endif
#if !(defined(__cpp_attributes) || defined(__coverity_undefine___cpp_attributes))
#define __cpp_attributes 200809L
#endif
#if !(defined(__cpp_nontype_template_parameter_auto) || defined(__coverity_undefine___cpp_nontype_template_parameter_auto))
#define __cpp_nontype_template_parameter_auto 201606L
#endif
#if !(defined(__UINT_LEAST16_MAX__) || defined(__coverity_undefine___UINT_LEAST16_MAX__))
#define __UINT_LEAST16_MAX__ 0xffff
#endif
#if !(defined(__FLT16_HAS_QUIET_NAN__) || defined(__coverity_undefine___FLT16_HAS_QUIET_NAN__))
#define __FLT16_HAS_QUIET_NAN__ 1
#endif
#if !(defined(__ATOMIC_ACQUIRE) || defined(__coverity_undefine___ATOMIC_ACQUIRE))
#define __ATOMIC_ACQUIRE 2
#endif
#if !(defined(__FLT128_MAX_10_EXP__) || defined(__coverity_undefine___FLT128_MAX_10_EXP__))
#define __FLT128_MAX_10_EXP__ 4932
#endif
#if !(defined(__FLT_MIN__) || defined(__coverity_undefine___FLT_MIN__))
#define __FLT_MIN__ 1.17549435082228750796873653722224568e-38F
#endif
#if !(defined(__GCC_IEC_559_COMPLEX) || defined(__coverity_undefine___GCC_IEC_559_COMPLEX))
#define __GCC_IEC_559_COMPLEX 2
#endif
#if !(defined(__cpp_aggregate_nsdmi) || defined(__coverity_undefine___cpp_aggregate_nsdmi))
#define __cpp_aggregate_nsdmi 201304L
#endif
#if !(defined(__UINT_LEAST8_TYPE__) || defined(__coverity_undefine___UINT_LEAST8_TYPE__))
#define __UINT_LEAST8_TYPE__ unsigned char
#endif
#if !(defined(__SIZEOF_FLOAT80__) || defined(__coverity_undefine___SIZEOF_FLOAT80__))
#define __SIZEOF_FLOAT80__ 16
#endif
#if !(defined(__INTMAX_C) || defined(__coverity_undefine___INTMAX_C))
#define __INTMAX_C(c) c ## L
#endif
#if !(defined(__CHAR_BIT__) || defined(__coverity_undefine___CHAR_BIT__))
#define __CHAR_BIT__ 8
#endif
#if !(defined(__UINT8_MAX__) || defined(__coverity_undefine___UINT8_MAX__))
#define __UINT8_MAX__ 0xff
#endif
#if !(defined(__SCHAR_WIDTH__) || defined(__coverity_undefine___SCHAR_WIDTH__))
#define __SCHAR_WIDTH__ 8
#endif
#if !(defined(__WINT_MAX__) || defined(__coverity_undefine___WINT_MAX__))
#define __WINT_MAX__ 0xffffffffU
#endif
#if !(defined(__cpp_static_assert) || defined(__coverity_undefine___cpp_static_assert))
#define __cpp_static_assert 201411L
#endif
#if !(defined(__ORDER_LITTLE_ENDIAN__) || defined(__coverity_undefine___ORDER_LITTLE_ENDIAN__))
#define __ORDER_LITTLE_ENDIAN__ 1234
#endif
#if !(defined(__SIZE_MAX__) || defined(__coverity_undefine___SIZE_MAX__))
#define __SIZE_MAX__ 0xffffffffffffffffUL
#endif
#if !(defined(__SSE4_1__) || defined(__coverity_undefine___SSE4_1__))
#define __SSE4_1__ 1
#endif
#if !(defined(__WCHAR_MAX__) || defined(__coverity_undefine___WCHAR_MAX__))
#define __WCHAR_MAX__ 0x7fffffff
#endif
#if !(defined(__GCC_HAVE_SYNC_COMPARE_AND_SWAP_2) || defined(__coverity_undefine___GCC_HAVE_SYNC_COMPARE_AND_SWAP_2))
#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_2 1
#endif
#if !(defined(__GCC_HAVE_SYNC_COMPARE_AND_SWAP_4) || defined(__coverity_undefine___GCC_HAVE_SYNC_COMPARE_AND_SWAP_4))
#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_4 1
#endif
#if !(defined(__GCC_HAVE_SYNC_COMPARE_AND_SWAP_8) || defined(__coverity_undefine___GCC_HAVE_SYNC_COMPARE_AND_SWAP_8))
#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_8 1
#endif
#if !(defined(__GCC_ATOMIC_CHAR_LOCK_FREE) || defined(__coverity_undefine___GCC_ATOMIC_CHAR_LOCK_FREE))
#define __GCC_ATOMIC_CHAR_LOCK_FREE 2
#endif
#if !(defined(__GCC_IEC_559) || defined(__coverity_undefine___GCC_IEC_559))
#define __GCC_IEC_559 2
#endif
#if !(defined(__FLT32X_DECIMAL_DIG__) || defined(__coverity_undefine___FLT32X_DECIMAL_DIG__))
#define __FLT32X_DECIMAL_DIG__ 17
#endif
#if !(defined(__FLT_EVAL_METHOD__) || defined(__coverity_undefine___FLT_EVAL_METHOD__))
#define __FLT_EVAL_METHOD__ 0
#endif
#if !(defined(__cpp_binary_literals) || defined(__coverity_undefine___cpp_binary_literals))
#define __cpp_binary_literals 201304L
#endif
#if !(defined(__FLT64_DECIMAL_DIG__) || defined(__coverity_undefine___FLT64_DECIMAL_DIG__))
#define __FLT64_DECIMAL_DIG__ 17
#endif
#if !(defined(__cpp_noexcept_function_type) || defined(__coverity_undefine___cpp_noexcept_function_type))
#define __cpp_noexcept_function_type 201510L
#endif
#if !(defined(__GCC_ATOMIC_CHAR32_T_LOCK_FREE) || defined(__coverity_undefine___GCC_ATOMIC_CHAR32_T_LOCK_FREE))
#define __GCC_ATOMIC_CHAR32_T_LOCK_FREE 2
#endif
#if !(defined(__cpp_variadic_templates) || defined(__coverity_undefine___cpp_variadic_templates))
#define __cpp_variadic_templates 200704L
#endif
#if !(defined(__UINT_FAST64_MAX__) || defined(__coverity_undefine___UINT_FAST64_MAX__))
#define __UINT_FAST64_MAX__ 0xffffffffffffffffUL
#endif
#if !(defined(__SIG_ATOMIC_TYPE__) || defined(__coverity_undefine___SIG_ATOMIC_TYPE__))
#define __SIG_ATOMIC_TYPE__ int
#endif
#if !(defined(__DBL_MIN_10_EXP__) || defined(__coverity_undefine___DBL_MIN_10_EXP__))
#define __DBL_MIN_10_EXP__ (-307)
#endif
#if !(defined(__FINITE_MATH_ONLY__) || defined(__coverity_undefine___FINITE_MATH_ONLY__))
#define __FINITE_MATH_ONLY__ 0
#endif
#if !(defined(__cpp_variable_templates) || defined(__coverity_undefine___cpp_variable_templates))
#define __cpp_variable_templates 201304L
#endif
#if !(defined(__FLT32X_MAX_EXP__) || defined(__coverity_undefine___FLT32X_MAX_EXP__))
#define __FLT32X_MAX_EXP__ 1024
#endif
#if !(defined(__GCC_HAVE_SYNC_COMPARE_AND_SWAP_1) || defined(__coverity_undefine___GCC_HAVE_SYNC_COMPARE_AND_SWAP_1))
#define __GCC_HAVE_SYNC_COMPARE_AND_SWAP_1 1
#endif
#if !(defined(__FLT32_HAS_DENORM__) || defined(__coverity_undefine___FLT32_HAS_DENORM__))
#define __FLT32_HAS_DENORM__ 1
#endif
#if !(defined(__UINT_FAST8_MAX__) || defined(__coverity_undefine___UINT_FAST8_MAX__))
#define __UINT_FAST8_MAX__ 0xff
#endif
#if !(defined(__cpp_rvalue_reference) || defined(__coverity_undefine___cpp_rvalue_reference))
#define __cpp_rvalue_reference 200610L
#endif
#if !(defined(__cpp_nested_namespace_definitions) || defined(__coverity_undefine___cpp_nested_namespace_definitions))
#define __cpp_nested_namespace_definitions 201411L
#endif
#if !(defined(__DEC64_MAX_EXP__) || defined(__coverity_undefine___DEC64_MAX_EXP__))
#define __DEC64_MAX_EXP__ 385
#endif
#if !(defined(__INT8_C) || defined(__coverity_undefine___INT8_C))
#define __INT8_C(c) c
#endif
#if !(defined(__INT_LEAST8_WIDTH__) || defined(__coverity_undefine___INT_LEAST8_WIDTH__))
#define __INT_LEAST8_WIDTH__ 8
#endif
#if !(defined(__cpp_variadic_using) || defined(__coverity_undefine___cpp_variadic_using))
#define __cpp_variadic_using 201611L
#endif
#if !(defined(__UINT_LEAST64_MAX__) || defined(__coverity_undefine___UINT_LEAST64_MAX__))
#define __UINT_LEAST64_MAX__ 0xffffffffffffffffUL
#endif
#if !(defined(__INT_LEAST8_MAX__) || defined(__coverity_undefine___INT_LEAST8_MAX__))
#define __INT_LEAST8_MAX__ 0x7f
#endif
#if !(defined(__cpp_capture_star_this) || defined(__coverity_undefine___cpp_capture_star_this))
#define __cpp_capture_star_this 201603L
#endif
#if !(defined(__SHRT_MAX__) || defined(__coverity_undefine___SHRT_MAX__))
#define __SHRT_MAX__ 0x7fff
#endif
#if !(defined(__LDBL_MAX__) || defined(__coverity_undefine___LDBL_MAX__))
#define __LDBL_MAX__ 1.18973149535723176502126385303097021e+4932L
#endif
#if !(defined(__FLT64X_MAX_10_EXP__) || defined(__coverity_undefine___FLT64X_MAX_10_EXP__))
#define __FLT64X_MAX_10_EXP__ 4932
#endif
#if !(defined(__cpp_if_constexpr) || defined(__coverity_undefine___cpp_if_constexpr))
#define __cpp_if_constexpr 201606L
#endif
#if !(defined(__LDBL_IS_IEC_60559__) || defined(__coverity_undefine___LDBL_IS_IEC_60559__))
#define __LDBL_IS_IEC_60559__ 2
#endif
#if !(defined(__FLT64X_HAS_QUIET_NAN__) || defined(__coverity_undefine___FLT64X_HAS_QUIET_NAN__))
#define __FLT64X_HAS_QUIET_NAN__ 1
#endif
#if !(defined(__UINT_LEAST8_MAX__) || defined(__coverity_undefine___UINT_LEAST8_MAX__))
#define __UINT_LEAST8_MAX__ 0xff
#endif
#if !(defined(__GCC_ATOMIC_BOOL_LOCK_FREE) || defined(__coverity_undefine___GCC_ATOMIC_BOOL_LOCK_FREE))
#define __GCC_ATOMIC_BOOL_LOCK_FREE 2
#endif
#if !(defined(__FLT128_DENORM_MIN__) || defined(__coverity_undefine___FLT128_DENORM_MIN__))
#define __FLT128_DENORM_MIN__ 6.47517511943802511092443895822764655e-4966F128
#endif
#if !(defined(__UINTMAX_TYPE__) || defined(__coverity_undefine___UINTMAX_TYPE__))
#define __UINTMAX_TYPE__ long unsigned int
#endif
#if !(defined(__linux) || defined(__coverity_undefine___linux))
#define __linux 1
#endif
#if !(defined(__DEC32_EPSILON__) || defined(__coverity_undefine___DEC32_EPSILON__))
#define __DEC32_EPSILON__ 1E-6DF
#endif
#if !(defined(__FLT_EVAL_METHOD_TS_18661_3__) || defined(__coverity_undefine___FLT_EVAL_METHOD_TS_18661_3__))
#define __FLT_EVAL_METHOD_TS_18661_3__ 0
#endif
#if !(defined(__unix) || defined(__coverity_undefine___unix))
#define __unix 1
#endif
#if !(defined(__UINT32_MAX__) || defined(__coverity_undefine___UINT32_MAX__))
#define __UINT32_MAX__ 0xffffffffU
#endif
#if !(defined(__GXX_EXPERIMENTAL_CXX0X__) || defined(__coverity_undefine___GXX_EXPERIMENTAL_CXX0X__))
#define __GXX_EXPERIMENTAL_CXX0X__ 1
#endif
#if !(defined(__DBL_DENORM_MIN__) || defined(__coverity_undefine___DBL_DENORM_MIN__))
#define __DBL_DENORM_MIN__ double(4.94065645841246544176568792868221372e-324L)
#endif
#if !(defined(__FLT128_MIN_EXP__) || defined(__coverity_undefine___FLT128_MIN_EXP__))
#define __FLT128_MIN_EXP__ (-16381)
#endif
#if !(defined(__WINT_MIN__) || defined(__coverity_undefine___WINT_MIN__))
#define __WINT_MIN__ 0U
#endif
#if !(defined(__FLT128_MIN_10_EXP__) || defined(__coverity_undefine___FLT128_MIN_10_EXP__))
#define __FLT128_MIN_10_EXP__ (-4931)
#endif
#if !(defined(__FLT32X_IS_IEC_60559__) || defined(__coverity_undefine___FLT32X_IS_IEC_60559__))
#define __FLT32X_IS_IEC_60559__ 2
#endif
#if !(defined(__INT_LEAST16_WIDTH__) || defined(__coverity_undefine___INT_LEAST16_WIDTH__))
#define __INT_LEAST16_WIDTH__ 16
#endif
#if !(defined(__SCHAR_MAX__) || defined(__coverity_undefine___SCHAR_MAX__))
#define __SCHAR_MAX__ 0x7f
#endif
#if !(defined(__FLT128_MANT_DIG__) || defined(__coverity_undefine___FLT128_MANT_DIG__))
#define __FLT128_MANT_DIG__ 113
#endif
#if !(defined(__WCHAR_MIN__) || defined(__coverity_undefine___WCHAR_MIN__))
#define __WCHAR_MIN__ (-__WCHAR_MAX__ - 1)
#endif
#if !(defined(__INT64_C) || defined(__coverity_undefine___INT64_C))
#define __INT64_C(c) c ## L
#endif
#if !(defined(__GCC_ATOMIC_POINTER_LOCK_FREE) || defined(__coverity_undefine___GCC_ATOMIC_POINTER_LOCK_FREE))
#define __GCC_ATOMIC_POINTER_LOCK_FREE 2
#endif
#if !(defined(__FLT32X_MANT_DIG__) || defined(__coverity_undefine___FLT32X_MANT_DIG__))
#define __FLT32X_MANT_DIG__ 53
#endif
#if !(defined(__GCC_ATOMIC_CHAR16_T_LOCK_FREE) || defined(__coverity_undefine___GCC_ATOMIC_CHAR16_T_LOCK_FREE))
#define __GCC_ATOMIC_CHAR16_T_LOCK_FREE 2
#endif
#if !(defined(__cpp_aligned_new) || defined(__coverity_undefine___cpp_aligned_new))
#define __cpp_aligned_new 201606L
#endif
#if !(defined(__FLT32_MAX_10_EXP__) || defined(__coverity_undefine___FLT32_MAX_10_EXP__))
#define __FLT32_MAX_10_EXP__ 38
#endif
#if !(defined(__FLT64X_EPSILON__) || defined(__coverity_undefine___FLT64X_EPSILON__))
#define __FLT64X_EPSILON__ 1.08420217248550443400745280086994171e-19F64x
#endif
#if !(defined(__STDC_HOSTED__) || defined(__coverity_undefine___STDC_HOSTED__))
#define __STDC_HOSTED__ 1
#endif
#if !(defined(__DEC64_MIN_EXP__) || defined(__coverity_undefine___DEC64_MIN_EXP__))
#define __DEC64_MIN_EXP__ (-382)
#endif
#if !(defined(__cpp_decltype_auto) || defined(__coverity_undefine___cpp_decltype_auto))
#define __cpp_decltype_auto 201304L
#endif
#if !(defined(__DBL_DIG__) || defined(__coverity_undefine___DBL_DIG__))
#define __DBL_DIG__ 15
#endif
#if !(defined(__FLT32_DIG__) || defined(__coverity_undefine___FLT32_DIG__))
#define __FLT32_DIG__ 6
#endif
#if !(defined(__FLT_EPSILON__) || defined(__coverity_undefine___FLT_EPSILON__))
#define __FLT_EPSILON__ 1.19209289550781250000000000000000000e-7F
#endif
#if !(defined(__GXX_WEAK__) || defined(__coverity_undefine___GXX_WEAK__))
#define __GXX_WEAK__ 1
#endif
#if !(defined(__SHRT_WIDTH__) || defined(__coverity_undefine___SHRT_WIDTH__))
#define __SHRT_WIDTH__ 16
#endif
#if !(defined(__FLT32_IS_IEC_60559__) || defined(__coverity_undefine___FLT32_IS_IEC_60559__))
#define __FLT32_IS_IEC_60559__ 2
#endif
#if !(defined(__LDBL_MIN__) || defined(__coverity_undefine___LDBL_MIN__))
#define __LDBL_MIN__ 3.36210314311209350626267781732175260e-4932L
#endif
#if !(defined(__DBL_IS_IEC_60559__) || defined(__coverity_undefine___DBL_IS_IEC_60559__))
#define __DBL_IS_IEC_60559__ 2
#endif
#if !(defined(__DEC32_MAX__) || defined(__coverity_undefine___DEC32_MAX__))
#define __DEC32_MAX__ 9.999999E96DF
#endif
#if !(defined(__cpp_threadsafe_static_init) || defined(__coverity_undefine___cpp_threadsafe_static_init))
#define __cpp_threadsafe_static_init 200806L
#endif
#if !(defined(__cpp_enumerator_attributes) || defined(__coverity_undefine___cpp_enumerator_attributes))
#define __cpp_enumerator_attributes 201411L
#endif
#if !(defined(__FLT64X_DENORM_MIN__) || defined(__coverity_undefine___FLT64X_DENORM_MIN__))
#define __FLT64X_DENORM_MIN__ 3.64519953188247460252840593361941982e-4951F64x
#endif
#if !(defined(__FLT32X_HAS_INFINITY__) || defined(__coverity_undefine___FLT32X_HAS_INFINITY__))
#define __FLT32X_HAS_INFINITY__ 1
#endif
#if !(defined(__INT32_MAX__) || defined(__coverity_undefine___INT32_MAX__))
#define __INT32_MAX__ 0x7fffffff
#endif
#if !(defined(__FLT16_DIG__) || defined(__coverity_undefine___FLT16_DIG__))
#define __FLT16_DIG__ 3
#endif
#if !(defined(__unix__) || defined(__coverity_undefine___unix__))
#define __unix__ 1
#endif
#if !(defined(__INT_WIDTH__) || defined(__coverity_undefine___INT_WIDTH__))
#define __INT_WIDTH__ 32
#endif
#if !(defined(__SIZEOF_LONG__) || defined(__coverity_undefine___SIZEOF_LONG__))
#define __SIZEOF_LONG__ 8
#endif
#if !(defined(__STDC_IEC_559__) || defined(__coverity_undefine___STDC_IEC_559__))
#define __STDC_IEC_559__ 1
#endif
#if !(defined(__STDC_ISO_10646__) || defined(__coverity_undefine___STDC_ISO_10646__))
#define __STDC_ISO_10646__ 201706L
#endif
#if !(defined(__UINT16_C) || defined(__coverity_undefine___UINT16_C))
#define __UINT16_C(c) c
#endif
#if !(defined(__DECIMAL_DIG__) || defined(__coverity_undefine___DECIMAL_DIG__))
#define __DECIMAL_DIG__ 21
#endif
#if !(defined(__STDC_IEC_559_COMPLEX__) || defined(__coverity_undefine___STDC_IEC_559_COMPLEX__))
#define __STDC_IEC_559_COMPLEX__ 1
#endif
#if !(defined(__FLT64_EPSILON__) || defined(__coverity_undefine___FLT64_EPSILON__))
#define __FLT64_EPSILON__ 2.22044604925031308084726333618164062e-16F64
#endif
#if !(defined(__gnu_linux__) || defined(__coverity_undefine___gnu_linux__))
#define __gnu_linux__ 1
#endif
#if !(defined(__INT16_MAX__) || defined(__coverity_undefine___INT16_MAX__))
#define __INT16_MAX__ 0x7fff
#endif
#if !(defined(__FLT64_MIN_EXP__) || defined(__coverity_undefine___FLT64_MIN_EXP__))
#define __FLT64_MIN_EXP__ (-1021)
#endif
#if !(defined(__FLT64X_MIN_10_EXP__) || defined(__coverity_undefine___FLT64X_MIN_10_EXP__))
#define __FLT64X_MIN_10_EXP__ (-4931)
#endif
#if !(defined(__LDBL_HAS_QUIET_NAN__) || defined(__coverity_undefine___LDBL_HAS_QUIET_NAN__))
#define __LDBL_HAS_QUIET_NAN__ 1
#endif
#if !(defined(__FLT16_MIN_EXP__) || defined(__coverity_undefine___FLT16_MIN_EXP__))
#define __FLT16_MIN_EXP__ (-13)
#endif
#if !(defined(__FLT64_MANT_DIG__) || defined(__coverity_undefine___FLT64_MANT_DIG__))
#define __FLT64_MANT_DIG__ 53
#endif
#if !(defined(__FLT64X_MANT_DIG__) || defined(__coverity_undefine___FLT64X_MANT_DIG__))
#define __FLT64X_MANT_DIG__ 64
#endif
#if !(defined(__GNUC__) || defined(__coverity_undefine___GNUC__))
#define __GNUC__ 12
#endif
#if !(defined(__GXX_RTTI) || defined(__coverity_undefine___GXX_RTTI))
#define __GXX_RTTI 1
#endif
#if !(defined(__MMX__) || defined(__coverity_undefine___MMX__))
#define __MMX__ 1
#endif
#if !(defined(__FLT_HAS_DENORM__) || defined(__coverity_undefine___FLT_HAS_DENORM__))
#define __FLT_HAS_DENORM__ 1
#endif
#if !(defined(__SIZEOF_LONG_DOUBLE__) || defined(__coverity_undefine___SIZEOF_LONG_DOUBLE__))
#define __SIZEOF_LONG_DOUBLE__ 16
#endif
#if !(defined(__BIGGEST_ALIGNMENT__) || defined(__coverity_undefine___BIGGEST_ALIGNMENT__))
#define __BIGGEST_ALIGNMENT__ 16
#endif
#if !(defined(__STDC_UTF_16__) || defined(__coverity_undefine___STDC_UTF_16__))
#define __STDC_UTF_16__ 1
#endif
#if !(defined(__FLT64_MAX_10_EXP__) || defined(__coverity_undefine___FLT64_MAX_10_EXP__))
#define __FLT64_MAX_10_EXP__ 308
#endif
#if !(defined(__FLT16_MAX_10_EXP__) || defined(__coverity_undefine___FLT16_MAX_10_EXP__))
#define __FLT16_MAX_10_EXP__ 4
#endif
#if !(defined(__cpp_delegating_constructors) || defined(__coverity_undefine___cpp_delegating_constructors))
#define __cpp_delegating_constructors 200604L
#endif
#if !(defined(__FLT32_HAS_INFINITY__) || defined(__coverity_undefine___FLT32_HAS_INFINITY__))
#define __FLT32_HAS_INFINITY__ 1
#endif
#if !(defined(__DBL_MAX__) || defined(__coverity_undefine___DBL_MAX__))
#define __DBL_MAX__ double(1.79769313486231570814527423731704357e+308L)
#endif
#if !(defined(__cpp_raw_strings) || defined(__coverity_undefine___cpp_raw_strings))
#define __cpp_raw_strings 200710L
#endif
#if !(defined(__INT_FAST32_MAX__) || defined(__coverity_undefine___INT_FAST32_MAX__))
#define __INT_FAST32_MAX__ 0x7fffffffffffffffL
#endif
#if !(defined(__DBL_HAS_INFINITY__) || defined(__coverity_undefine___DBL_HAS_INFINITY__))
#define __DBL_HAS_INFINITY__ 1
#endif
#if !(defined(__SIZEOF_FLOAT__) || defined(__coverity_undefine___SIZEOF_FLOAT__))
#define __SIZEOF_FLOAT__ 4
#endif
#if !(defined(__HAVE_SPECULATION_SAFE_VALUE) || defined(__coverity_undefine___HAVE_SPECULATION_SAFE_VALUE))
#define __HAVE_SPECULATION_SAFE_VALUE 1
#endif
#if !(defined(__cpp_fold_expressions) || defined(__coverity_undefine___cpp_fold_expressions))
#define __cpp_fold_expressions 201603L
#endif
#if !(defined(__DEC32_MIN_EXP__) || defined(__coverity_undefine___DEC32_MIN_EXP__))
#define __DEC32_MIN_EXP__ (-94)
#endif
#if !(defined(__INTPTR_WIDTH__) || defined(__coverity_undefine___INTPTR_WIDTH__))
#define __INTPTR_WIDTH__ 64
#endif
#if !(defined(__FLT64X_HAS_INFINITY__) || defined(__coverity_undefine___FLT64X_HAS_INFINITY__))
#define __FLT64X_HAS_INFINITY__ 1
#endif
#if !(defined(__UINT_LEAST32_MAX__) || defined(__coverity_undefine___UINT_LEAST32_MAX__))
#define __UINT_LEAST32_MAX__ 0xffffffffU
#endif
#if !(defined(__FLT32X_HAS_DENORM__) || defined(__coverity_undefine___FLT32X_HAS_DENORM__))
#define __FLT32X_HAS_DENORM__ 1
#endif
#if !(defined(__INT_FAST16_TYPE__) || defined(__coverity_undefine___INT_FAST16_TYPE__))
#define __INT_FAST16_TYPE__ long int
#endif
#if !(defined(__MMX_WITH_SSE__) || defined(__coverity_undefine___MMX_WITH_SSE__))
#define __MMX_WITH_SSE__ 1
#endif
#if !(defined(__LDBL_HAS_DENORM__) || defined(__coverity_undefine___LDBL_HAS_DENORM__))
#define __LDBL_HAS_DENORM__ 1
#endif
#if !(defined(__SEG_GS) || defined(__coverity_undefine___SEG_GS))
#define __SEG_GS 1
#endif
#if !(defined(__cplusplus) || defined(__coverity_undefine___cplusplus))
#define __cplusplus 201703L
#endif
#if !(defined(__cpp_ref_qualifiers) || defined(__coverity_undefine___cpp_ref_qualifiers))
#define __cpp_ref_qualifiers 200710L
#endif
#if !(defined(__DEC32_MIN__) || defined(__coverity_undefine___DEC32_MIN__))
#define __DEC32_MIN__ 1E-95DF
#endif
#if !(defined(__DEPRECATED) || defined(__coverity_undefine___DEPRECATED))
#define __DEPRECATED 1
#endif
#if !(defined(__cpp_rvalue_references) || defined(__coverity_undefine___cpp_rvalue_references))
#define __cpp_rvalue_references 200610L
#endif
#if !(defined(__DBL_MAX_EXP__) || defined(__coverity_undefine___DBL_MAX_EXP__))
#define __DBL_MAX_EXP__ 1024
#endif
#if !(defined(__WCHAR_WIDTH__) || defined(__coverity_undefine___WCHAR_WIDTH__))
#define __WCHAR_WIDTH__ 32
#endif
#if !(defined(__FLT32_MAX__) || defined(__coverity_undefine___FLT32_MAX__))
#define __FLT32_MAX__ 3.40282346638528859811704183484516925e+38F32
#endif
#if !(defined(__DEC128_EPSILON__) || defined(__coverity_undefine___DEC128_EPSILON__))
#define __DEC128_EPSILON__ 1E-33DL
#endif
#if !(defined(__FLT16_DECIMAL_DIG__) || defined(__coverity_undefine___FLT16_DECIMAL_DIG__))
#define __FLT16_DECIMAL_DIG__ 5
#endif
#if !(defined(__SSE2_MATH__) || defined(__coverity_undefine___SSE2_MATH__))
#define __SSE2_MATH__ 1
#endif
#if !(defined(__ATOMIC_HLE_RELEASE) || defined(__coverity_undefine___ATOMIC_HLE_RELEASE))
#define __ATOMIC_HLE_RELEASE 131072
#endif
#if !(defined(__PTRDIFF_MAX__) || defined(__coverity_undefine___PTRDIFF_MAX__))
#define __PTRDIFF_MAX__ 0x7fffffffffffffffL
#endif
#if !(defined(__amd64) || defined(__coverity_undefine___amd64))
#define __amd64 1
#endif
#if !(defined(__ATOMIC_HLE_ACQUIRE) || defined(__coverity_undefine___ATOMIC_HLE_ACQUIRE))
#define __ATOMIC_HLE_ACQUIRE 65536
#endif
#if !(defined(__GNUG__) || defined(__coverity_undefine___GNUG__))
#define __GNUG__ 12
#endif
#if !(defined(__LONG_LONG_MAX__) || defined(__coverity_undefine___LONG_LONG_MAX__))
#define __LONG_LONG_MAX__ 0x7fffffffffffffffLL
#endif
#if !(defined(__SIZEOF_SIZE_T__) || defined(__coverity_undefine___SIZEOF_SIZE_T__))
#define __SIZEOF_SIZE_T__ 8
#endif
#if !(defined(__cpp_nsdmi) || defined(__coverity_undefine___cpp_nsdmi))
#define __cpp_nsdmi 200809L
#endif
#if !(defined(__FLT64X_MIN_EXP__) || defined(__coverity_undefine___FLT64X_MIN_EXP__))
#define __FLT64X_MIN_EXP__ (-16381)
#endif
#if !(defined(__SIZEOF_WINT_T__) || defined(__coverity_undefine___SIZEOF_WINT_T__))
#define __SIZEOF_WINT_T__ 4
#endif
#if !(defined(__LONG_LONG_WIDTH__) || defined(__coverity_undefine___LONG_LONG_WIDTH__))
#define __LONG_LONG_WIDTH__ 64
#endif
#if !(defined(__cpp_initializer_lists) || defined(__coverity_undefine___cpp_initializer_lists))
#define __cpp_initializer_lists 200806L
#endif
#if !(defined(__FLT32_MAX_EXP__) || defined(__coverity_undefine___FLT32_MAX_EXP__))
#define __FLT32_MAX_EXP__ 128
#endif
#if !(defined(__cpp_hex_float) || defined(__coverity_undefine___cpp_hex_float))
#define __cpp_hex_float 201603L
#endif
#if !(defined(__GXX_ABI_VERSION) || defined(__coverity_undefine___GXX_ABI_VERSION))
#define __GXX_ABI_VERSION 1017
#endif
#if !(defined(__FLT128_HAS_INFINITY__) || defined(__coverity_undefine___FLT128_HAS_INFINITY__))
#define __FLT128_HAS_INFINITY__ 1
#endif
#if !(defined(__FLT_MIN_EXP__) || defined(__coverity_undefine___FLT_MIN_EXP__))
#define __FLT_MIN_EXP__ (-125)
#endif
#if !(defined(__GCC_HAVE_DWARF2_CFI_ASM) || defined(__coverity_undefine___GCC_HAVE_DWARF2_CFI_ASM))
#define __GCC_HAVE_DWARF2_CFI_ASM 1
#endif
#if !(defined(__x86_64) || defined(__coverity_undefine___x86_64))
#define __x86_64 1
#endif
#if !(defined(__cpp_lambdas) || defined(__coverity_undefine___cpp_lambdas))
#define __cpp_lambdas 200907L
#endif
#if !(defined(__INT_FAST64_TYPE__) || defined(__coverity_undefine___INT_FAST64_TYPE__))
#define __INT_FAST64_TYPE__ long int
#endif
#if !(defined(__FLT64_DENORM_MIN__) || defined(__coverity_undefine___FLT64_DENORM_MIN__))
#define __FLT64_DENORM_MIN__ 4.94065645841246544176568792868221372e-324F64
#endif
#if !(defined(__cpp_template_auto) || defined(__coverity_undefine___cpp_template_auto))
#define __cpp_template_auto 201606L
#endif
#if !(defined(__DBL_MIN__) || defined(__coverity_undefine___DBL_MIN__))
#define __DBL_MIN__ double(2.22507385850720138309023271733240406e-308L)
#endif
#if !(defined(__FLT16_DENORM_MIN__) || defined(__coverity_undefine___FLT16_DENORM_MIN__))
#define __FLT16_DENORM_MIN__ 5.96046447753906250000000000000000000e-8F16
#endif
#if !(defined(__FLT128_EPSILON__) || defined(__coverity_undefine___FLT128_EPSILON__))
#define __FLT128_EPSILON__ 1.92592994438723585305597794258492732e-34F128
#endif
#if !(defined(__FLT64X_NORM_MAX__) || defined(__coverity_undefine___FLT64X_NORM_MAX__))
#define __FLT64X_NORM_MAX__ 1.18973149535723176502126385303097021e+4932F64x
#endif
#if !(defined(__SIZEOF_POINTER__) || defined(__coverity_undefine___SIZEOF_POINTER__))
#define __SIZEOF_POINTER__ 8
#endif
#if !(defined(__LP64__) || defined(__coverity_undefine___LP64__))
#define __LP64__ 1
#endif
#if !(defined(__DBL_HAS_QUIET_NAN__) || defined(__coverity_undefine___DBL_HAS_QUIET_NAN__))
#define __DBL_HAS_QUIET_NAN__ 1
#endif
#if !(defined(__FLT32X_EPSILON__) || defined(__coverity_undefine___FLT32X_EPSILON__))
#define __FLT32X_EPSILON__ 2.22044604925031308084726333618164062e-16F32x
#endif
#if !(defined(__DECIMAL_BID_FORMAT__) || defined(__coverity_undefine___DECIMAL_BID_FORMAT__))
#define __DECIMAL_BID_FORMAT__ 1
#endif
#if !(defined(__FLT64_MIN_10_EXP__) || defined(__coverity_undefine___FLT64_MIN_10_EXP__))
#define __FLT64_MIN_10_EXP__ (-307)
#endif
#if !(defined(__FLT16_MIN_10_EXP__) || defined(__coverity_undefine___FLT16_MIN_10_EXP__))
#define __FLT16_MIN_10_EXP__ (-4)
#endif
#if !(defined(__FLT64X_DECIMAL_DIG__) || defined(__coverity_undefine___FLT64X_DECIMAL_DIG__))
#define __FLT64X_DECIMAL_DIG__ 21
#endif
#if !(defined(__DEC128_MIN__) || defined(__coverity_undefine___DEC128_MIN__))
#define __DEC128_MIN__ 1E-6143DL
#endif
#if !(defined(__REGISTER_PREFIX__) || defined(__coverity_undefine___REGISTER_PREFIX__))
#define __REGISTER_PREFIX__ 
#endif
#if !(defined(__UINT16_MAX__) || defined(__coverity_undefine___UINT16_MAX__))
#define __UINT16_MAX__ 0xffff
#endif
#if !(defined(__LDBL_HAS_INFINITY__) || defined(__coverity_undefine___LDBL_HAS_INFINITY__))
#define __LDBL_HAS_INFINITY__ 1
#endif
#if !(defined(__FLT32_MIN__) || defined(__coverity_undefine___FLT32_MIN__))
#define __FLT32_MIN__ 1.17549435082228750796873653722224568e-38F32
#endif
#if !(defined(__UINT8_TYPE__) || defined(__coverity_undefine___UINT8_TYPE__))
#define __UINT8_TYPE__ unsigned char
#endif
#if !(defined(__FLT_DIG__) || defined(__coverity_undefine___FLT_DIG__))
#define __FLT_DIG__ 6
#endif
#if !(defined(__DEC_EVAL_METHOD__) || defined(__coverity_undefine___DEC_EVAL_METHOD__))
#define __DEC_EVAL_METHOD__ 2
#endif
#if !(defined(__DEC128_MAX__) || defined(__coverity_undefine___DEC128_MAX__))
#define __DEC128_MAX__ 9.999999999999999999999999999999999E6144DL
#endif
#if !(defined(__FLT_MANT_DIG__) || defined(__coverity_undefine___FLT_MANT_DIG__))
#define __FLT_MANT_DIG__ 24
#endif
#if !(defined(__LDBL_DECIMAL_DIG__) || defined(__coverity_undefine___LDBL_DECIMAL_DIG__))
#define __LDBL_DECIMAL_DIG__ 21
#endif
#if !(defined(__VERSION__) || defined(__coverity_undefine___VERSION__))
#define __VERSION__ "12.2.0"
#endif
#if !(defined(__UINT64_C) || defined(__coverity_undefine___UINT64_C))
#define __UINT64_C(c) c ## UL
#endif
#if !(defined(__cpp_unicode_characters) || defined(__coverity_undefine___cpp_unicode_characters))
#define __cpp_unicode_characters 201411L
#endif
#if !(defined(_STDC_PREDEF_H) || defined(__coverity_undefine__STDC_PREDEF_H))
#define _STDC_PREDEF_H 1
#endif
#if !(defined(__INT_LEAST32_MAX__) || defined(__coverity_undefine___INT_LEAST32_MAX__))
#define __INT_LEAST32_MAX__ 0x7fffffff
#endif
#if !(defined(__GCC_ATOMIC_INT_LOCK_FREE) || defined(__coverity_undefine___GCC_ATOMIC_INT_LOCK_FREE))
#define __GCC_ATOMIC_INT_LOCK_FREE 2
#endif
#if !(defined(__FLT128_MAX_EXP__) || defined(__coverity_undefine___FLT128_MAX_EXP__))
#define __FLT128_MAX_EXP__ 16384
#endif
#if !(defined(__FLT32_MANT_DIG__) || defined(__coverity_undefine___FLT32_MANT_DIG__))
#define __FLT32_MANT_DIG__ 24
#endif
#if !(defined(__FLOAT_WORD_ORDER__) || defined(__coverity_undefine___FLOAT_WORD_ORDER__))
#define __FLOAT_WORD_ORDER__ __ORDER_LITTLE_ENDIAN__
#endif
#if !(defined(__FLT32X_MIN_EXP__) || defined(__coverity_undefine___FLT32X_MIN_EXP__))
#define __FLT32X_MIN_EXP__ (-1021)
#endif
#if !(defined(__STDC_IEC_60559_COMPLEX__) || defined(__coverity_undefine___STDC_IEC_60559_COMPLEX__))
#define __STDC_IEC_60559_COMPLEX__ 201404L
#endif
#if !(defined(__cpp_aggregate_bases) || defined(__coverity_undefine___cpp_aggregate_bases))
#define __cpp_aggregate_bases 201603L
#endif
#if !(defined(__FLT128_HAS_DENORM__) || defined(__coverity_undefine___FLT128_HAS_DENORM__))
#define __FLT128_HAS_DENORM__ 1
#endif
#if !(defined(__FLT32_DECIMAL_DIG__) || defined(__coverity_undefine___FLT32_DECIMAL_DIG__))
#define __FLT32_DECIMAL_DIG__ 9
#endif
#if !(defined(__FLT128_DIG__) || defined(__coverity_undefine___FLT128_DIG__))
#define __FLT128_DIG__ 33
#endif
#if !(defined(__INT32_C) || defined(__coverity_undefine___INT32_C))
#define __INT32_C(c) c
#endif
#if !(defined(__DEC64_EPSILON__) || defined(__coverity_undefine___DEC64_EPSILON__))
#define __DEC64_EPSILON__ 1E-15DD
#endif
#if !(defined(__ORDER_PDP_ENDIAN__) || defined(__coverity_undefine___ORDER_PDP_ENDIAN__))
#define __ORDER_PDP_ENDIAN__ 3412
#endif
#if !(defined(__DEC128_MIN_EXP__) || defined(__coverity_undefine___DEC128_MIN_EXP__))
#define __DEC128_MIN_EXP__ (-6142)
#endif
#if !(defined(__INT_FAST32_TYPE__) || defined(__coverity_undefine___INT_FAST32_TYPE__))
#define __INT_FAST32_TYPE__ long int
#endif
#if !(defined(__FLT16_MIN__) || defined(__coverity_undefine___FLT16_MIN__))
#define __FLT16_MIN__ 6.10351562500000000000000000000000000e-5F16
#endif
#if !(defined(__UINT_LEAST16_TYPE__) || defined(__coverity_undefine___UINT_LEAST16_TYPE__))
#define __UINT_LEAST16_TYPE__ short unsigned int
#endif
#if !(defined(unix) || defined(__coverity_undefine_unix))
#define unix 1
#endif
#if !(defined(__DBL_HAS_DENORM__) || defined(__coverity_undefine___DBL_HAS_DENORM__))
#define __DBL_HAS_DENORM__ 1
#endif
#if !(defined(__cpp_rtti) || defined(__coverity_undefine___cpp_rtti))
#define __cpp_rtti 199711L
#endif
#if !(defined(__SIZE_TYPE__) || defined(__coverity_undefine___SIZE_TYPE__))
#define __SIZE_TYPE__ long unsigned int
#endif
#if !(defined(__UINT64_MAX__) || defined(__coverity_undefine___UINT64_MAX__))
#define __UINT64_MAX__ 0xffffffffffffffffUL
#endif
#if !(defined(__FLT_IS_IEC_60559__) || defined(__coverity_undefine___FLT_IS_IEC_60559__))
#define __FLT_IS_IEC_60559__ 2
#endif
#if !(defined(__GNUC_WIDE_EXECUTION_CHARSET_NAME) || defined(__coverity_undefine___GNUC_WIDE_EXECUTION_CHARSET_NAME))
#define __GNUC_WIDE_EXECUTION_CHARSET_NAME "UTF-32LE"
#endif
#if !(defined(__FLT64X_DIG__) || defined(__coverity_undefine___FLT64X_DIG__))
#define __FLT64X_DIG__ 18
#endif
#if !(defined(__INT8_TYPE__) || defined(__coverity_undefine___INT8_TYPE__))
#define __INT8_TYPE__ signed char
#endif
#if !(defined(__cpp_digit_separators) || defined(__coverity_undefine___cpp_digit_separators))
#define __cpp_digit_separators 201309L
#endif
#if !(defined(__ELF__) || defined(__coverity_undefine___ELF__))
#define __ELF__ 1
#endif
#if !(defined(__GCC_ASM_FLAG_OUTPUTS__) || defined(__coverity_undefine___GCC_ASM_FLAG_OUTPUTS__))
#define __GCC_ASM_FLAG_OUTPUTS__ 1
#endif
#if !(defined(__UINT32_TYPE__) || defined(__coverity_undefine___UINT32_TYPE__))
#define __UINT32_TYPE__ unsigned int
#endif
#if !(defined(__FLT_RADIX__) || defined(__coverity_undefine___FLT_RADIX__))
#define __FLT_RADIX__ 2
#endif
#if !(defined(__INT_LEAST16_TYPE__) || defined(__coverity_undefine___INT_LEAST16_TYPE__))
#define __INT_LEAST16_TYPE__ short int
#endif
#if !(defined(__LDBL_EPSILON__) || defined(__coverity_undefine___LDBL_EPSILON__))
#define __LDBL_EPSILON__ 1.08420217248550443400745280086994171e-19L
#endif
#if !(defined(__UINTMAX_C) || defined(__coverity_undefine___UINTMAX_C))
#define __UINTMAX_C(c) c ## UL
#endif
#if !(defined(__GLIBCXX_BITSIZE_INT_N_0) || defined(__coverity_undefine___GLIBCXX_BITSIZE_INT_N_0))
#define __GLIBCXX_BITSIZE_INT_N_0 128
#endif
#if !(defined(__k8) || defined(__coverity_undefine___k8))
#define __k8 1
#endif
#if !(defined(__FLT32X_MIN__) || defined(__coverity_undefine___FLT32X_MIN__))
#define __FLT32X_MIN__ 2.22507385850720138309023271733240406e-308F32x
#endif
#if !(defined(__SIG_ATOMIC_MAX__) || defined(__coverity_undefine___SIG_ATOMIC_MAX__))
#define __SIG_ATOMIC_MAX__ 0x7fffffff
#endif
#if !(defined(__GCC_ATOMIC_WCHAR_T_LOCK_FREE) || defined(__coverity_undefine___GCC_ATOMIC_WCHAR_T_LOCK_FREE))
#define __GCC_ATOMIC_WCHAR_T_LOCK_FREE 2
#endif
#if !(defined(__USER_LABEL_PREFIX__) || defined(__coverity_undefine___USER_LABEL_PREFIX__))
#define __USER_LABEL_PREFIX__ 
#endif
#if !(defined(__STDC_IEC_60559_BFP__) || defined(__coverity_undefine___STDC_IEC_60559_BFP__))
#define __STDC_IEC_60559_BFP__ 201404L
#endif
#if !(defined(__SIZEOF_PTRDIFF_T__) || defined(__coverity_undefine___SIZEOF_PTRDIFF_T__))
#define __SIZEOF_PTRDIFF_T__ 8
#endif
#if !(defined(__LDBL_DIG__) || defined(__coverity_undefine___LDBL_DIG__))
#define __LDBL_DIG__ 18
#endif
#if !(defined(__FLT64_IS_IEC_60559__) || defined(__coverity_undefine___FLT64_IS_IEC_60559__))
#define __FLT64_IS_IEC_60559__ 2
#endif
#if !(defined(__x86_64__) || defined(__coverity_undefine___x86_64__))
#define __x86_64__ 1
#endif
#if !(defined(__FLT16_IS_IEC_60559__) || defined(__coverity_undefine___FLT16_IS_IEC_60559__))
#define __FLT16_IS_IEC_60559__ 2
#endif
#if !(defined(__FLT16_MAX_EXP__) || defined(__coverity_undefine___FLT16_MAX_EXP__))
#define __FLT16_MAX_EXP__ 16
#endif
#if !(defined(__DEC32_SUBNORMAL_MIN__) || defined(__coverity_undefine___DEC32_SUBNORMAL_MIN__))
#define __DEC32_SUBNORMAL_MIN__ 0.000001E-95DF
#endif
#if !(defined(__INT_FAST16_MAX__) || defined(__coverity_undefine___INT_FAST16_MAX__))
#define __INT_FAST16_MAX__ 0x7fffffffffffffffL
#endif
#if !(defined(__GCC_CONSTRUCTIVE_SIZE) || defined(__coverity_undefine___GCC_CONSTRUCTIVE_SIZE))
#define __GCC_CONSTRUCTIVE_SIZE 64
#endif
#if !(defined(__FLT64_DIG__) || defined(__coverity_undefine___FLT64_DIG__))
#define __FLT64_DIG__ 15
#endif
#if !(defined(__UINT_FAST32_MAX__) || defined(__coverity_undefine___UINT_FAST32_MAX__))
#define __UINT_FAST32_MAX__ 0xffffffffffffffffUL
#endif
#if !(defined(__UINT_LEAST64_TYPE__) || defined(__coverity_undefine___UINT_LEAST64_TYPE__))
#define __UINT_LEAST64_TYPE__ long unsigned int
#endif
#if !(defined(__FLT16_EPSILON__) || defined(__coverity_undefine___FLT16_EPSILON__))
#define __FLT16_EPSILON__ 9.76562500000000000000000000000000000e-4F16
#endif
#if !(defined(__FLT_HAS_QUIET_NAN__) || defined(__coverity_undefine___FLT_HAS_QUIET_NAN__))
#define __FLT_HAS_QUIET_NAN__ 1
#endif
#if !(defined(__FLT_MAX_10_EXP__) || defined(__coverity_undefine___FLT_MAX_10_EXP__))
#define __FLT_MAX_10_EXP__ 38
#endif
#if !(defined(__LONG_MAX__) || defined(__coverity_undefine___LONG_MAX__))
#define __LONG_MAX__ 0x7fffffffffffffffL
#endif
#if !(defined(__FLT64X_HAS_DENORM__) || defined(__coverity_undefine___FLT64X_HAS_DENORM__))
#define __FLT64X_HAS_DENORM__ 1
#endif
#if !(defined(__DEC128_SUBNORMAL_MIN__) || defined(__coverity_undefine___DEC128_SUBNORMAL_MIN__))
#define __DEC128_SUBNORMAL_MIN__ 0.000000000000000000000000000000001E-6143DL
#endif
#if !(defined(__FLT_HAS_INFINITY__) || defined(__coverity_undefine___FLT_HAS_INFINITY__))
#define __FLT_HAS_INFINITY__ 1
#endif
#if !(defined(__GNUC_EXECUTION_CHARSET_NAME) || defined(__coverity_undefine___GNUC_EXECUTION_CHARSET_NAME))
#define __GNUC_EXECUTION_CHARSET_NAME "UTF-8"
#endif
#if !(defined(__cpp_unicode_literals) || defined(__coverity_undefine___cpp_unicode_literals))
#define __cpp_unicode_literals 200710L
#endif
#if !(defined(__UINT_FAST16_TYPE__) || defined(__coverity_undefine___UINT_FAST16_TYPE__))
#define __UINT_FAST16_TYPE__ long unsigned int
#endif
#if !(defined(__DEC64_MAX__) || defined(__coverity_undefine___DEC64_MAX__))
#define __DEC64_MAX__ 9.999999999999999E384DD
#endif
#if !(defined(__INT_FAST32_WIDTH__) || defined(__coverity_undefine___INT_FAST32_WIDTH__))
#define __INT_FAST32_WIDTH__ 64
#endif
#if !(defined(__CHAR16_TYPE__) || defined(__coverity_undefine___CHAR16_TYPE__))
#define __CHAR16_TYPE__ short unsigned int
#endif
#if !(defined(__PRAGMA_REDEFINE_EXTNAME) || defined(__coverity_undefine___PRAGMA_REDEFINE_EXTNAME))
#define __PRAGMA_REDEFINE_EXTNAME 1
#endif
#if !(defined(__SIZE_WIDTH__) || defined(__coverity_undefine___SIZE_WIDTH__))
#define __SIZE_WIDTH__ 64
#endif
#if !(defined(__SEG_FS) || defined(__coverity_undefine___SEG_FS))
#define __SEG_FS 1
#endif
#if !(defined(__INT_LEAST16_MAX__) || defined(__coverity_undefine___INT_LEAST16_MAX__))
#define __INT_LEAST16_MAX__ 0x7fff
#endif
#if !(defined(__FLT16_NORM_MAX__) || defined(__coverity_undefine___FLT16_NORM_MAX__))
#define __FLT16_NORM_MAX__ 6.55040000000000000000000000000000000e+4F16
#endif
#if !(defined(__DEC64_MANT_DIG__) || defined(__coverity_undefine___DEC64_MANT_DIG__))
#define __DEC64_MANT_DIG__ 16
#endif
#if !(defined(__INT64_MAX__) || defined(__coverity_undefine___INT64_MAX__))
#define __INT64_MAX__ 0x7fffffffffffffffL
#endif
#if !(defined(__FLT32_DENORM_MIN__) || defined(__coverity_undefine___FLT32_DENORM_MIN__))
#define __FLT32_DENORM_MIN__ 1.40129846432481707092372958328991613e-45F32
#endif
#if !(defined(__SIG_ATOMIC_WIDTH__) || defined(__coverity_undefine___SIG_ATOMIC_WIDTH__))
#define __SIG_ATOMIC_WIDTH__ 32
#endif
#if !(defined(__INT_LEAST64_TYPE__) || defined(__coverity_undefine___INT_LEAST64_TYPE__))
#define __INT_LEAST64_TYPE__ long int
#endif
#if !(defined(__INT16_TYPE__) || defined(__coverity_undefine___INT16_TYPE__))
#define __INT16_TYPE__ short int
#endif
#if !(defined(__INT_LEAST8_TYPE__) || defined(__coverity_undefine___INT_LEAST8_TYPE__))
#define __INT_LEAST8_TYPE__ signed char
#endif
#if !(defined(__FLT16_MAX__) || defined(__coverity_undefine___FLT16_MAX__))
#define __FLT16_MAX__ 6.55040000000000000000000000000000000e+4F16
#endif
#if !(defined(__cpp_structured_bindings) || defined(__coverity_undefine___cpp_structured_bindings))
#define __cpp_structured_bindings 201606L
#endif
#if !(defined(__SIZEOF_INT__) || defined(__coverity_undefine___SIZEOF_INT__))
#define __SIZEOF_INT__ 4
#endif
#if !(defined(__DEC32_MAX_EXP__) || defined(__coverity_undefine___DEC32_MAX_EXP__))
#define __DEC32_MAX_EXP__ 97
#endif
#if !(defined(__INT_FAST8_MAX__) || defined(__coverity_undefine___INT_FAST8_MAX__))
#define __INT_FAST8_MAX__ 0x7f
#endif
#if !(defined(__FLT128_MAX__) || defined(__coverity_undefine___FLT128_MAX__))
#define __FLT128_MAX__ 1.18973149535723176508575932662800702e+4932F128
#endif
#if !(defined(__INTPTR_MAX__) || defined(__coverity_undefine___INTPTR_MAX__))
#define __INTPTR_MAX__ 0x7fffffffffffffffL
#endif
#if !(defined(__cpp_sized_deallocation) || defined(__coverity_undefine___cpp_sized_deallocation))
#define __cpp_sized_deallocation 201309L
#endif
#if !(defined(__cpp_guaranteed_copy_elision) || defined(__coverity_undefine___cpp_guaranteed_copy_elision))
#define __cpp_guaranteed_copy_elision 201606L
#endif
#if !(defined(linux) || defined(__coverity_undefine_linux))
#define linux 1
#endif
#if !(defined(__FLT64_HAS_QUIET_NAN__) || defined(__coverity_undefine___FLT64_HAS_QUIET_NAN__))
#define __FLT64_HAS_QUIET_NAN__ 1
#endif
#if !(defined(__FLT32_MIN_10_EXP__) || defined(__coverity_undefine___FLT32_MIN_10_EXP__))
#define __FLT32_MIN_10_EXP__ (-37)
#endif
#if !(defined(__SSSE3__) || defined(__coverity_undefine___SSSE3__))
#define __SSSE3__ 1
#endif
#if !(defined(__EXCEPTIONS) || defined(__coverity_undefine___EXCEPTIONS))
#define __EXCEPTIONS 1
#endif
#if !(defined(__PTRDIFF_WIDTH__) || defined(__coverity_undefine___PTRDIFF_WIDTH__))
#define __PTRDIFF_WIDTH__ 64
#endif
#if !(defined(__LDBL_MANT_DIG__) || defined(__coverity_undefine___LDBL_MANT_DIG__))
#define __LDBL_MANT_DIG__ 64
#endif
#if !(defined(__cpp_range_based_for) || defined(__coverity_undefine___cpp_range_based_for))
#define __cpp_range_based_for 201603L
#endif
#if !(defined(__FLT64_HAS_INFINITY__) || defined(__coverity_undefine___FLT64_HAS_INFINITY__))
#define __FLT64_HAS_INFINITY__ 1
#endif
#if !(defined(__FLT64X_MAX__) || defined(__coverity_undefine___FLT64X_MAX__))
#define __FLT64X_MAX__ 1.18973149535723176502126385303097021e+4932F64x
#endif
#if !(defined(__FLT16_HAS_INFINITY__) || defined(__coverity_undefine___FLT16_HAS_INFINITY__))
#define __FLT16_HAS_INFINITY__ 1
#endif
#if !(defined(__STDCPP_DEFAULT_NEW_ALIGNMENT__) || defined(__coverity_undefine___STDCPP_DEFAULT_NEW_ALIGNMENT__))
#define __STDCPP_DEFAULT_NEW_ALIGNMENT__ 16
#endif
#if !(defined(__SIG_ATOMIC_MIN__) || defined(__coverity_undefine___SIG_ATOMIC_MIN__))
#define __SIG_ATOMIC_MIN__ (-__SIG_ATOMIC_MAX__ - 1)
#endif
#if !(defined(__code_model_small__) || defined(__coverity_undefine___code_model_small__))
#define __code_model_small__ 1
#endif
#if !(defined(__GCC_ATOMIC_LONG_LOCK_FREE) || defined(__coverity_undefine___GCC_ATOMIC_LONG_LOCK_FREE))
#define __GCC_ATOMIC_LONG_LOCK_FREE 2
#endif
#if !(defined(__cpp_nontype_template_args) || defined(__coverity_undefine___cpp_nontype_template_args))
#define __cpp_nontype_template_args 201411L
#endif
#if !(defined(__DEC32_MANT_DIG__) || defined(__coverity_undefine___DEC32_MANT_DIG__))
#define __DEC32_MANT_DIG__ 7
#endif
#if !(defined(__cpp_return_type_deduction) || defined(__coverity_undefine___cpp_return_type_deduction))
#define __cpp_return_type_deduction 201304L
#endif
#if !(defined(__k8__) || defined(__coverity_undefine___k8__))
#define __k8__ 1
#endif
#if !(defined(__INTPTR_TYPE__) || defined(__coverity_undefine___INTPTR_TYPE__))
#define __INTPTR_TYPE__ long int
#endif
#if !(defined(__UINT16_TYPE__) || defined(__coverity_undefine___UINT16_TYPE__))
#define __UINT16_TYPE__ short unsigned int
#endif
#if !(defined(__WCHAR_TYPE__) || defined(__coverity_undefine___WCHAR_TYPE__))
#define __WCHAR_TYPE__ int
#endif
#if !(defined(__pic__) || defined(__coverity_undefine___pic__))
#define __pic__ 2
#endif
#if !(defined(__UINTPTR_MAX__) || defined(__coverity_undefine___UINTPTR_MAX__))
#define __UINTPTR_MAX__ 0xffffffffffffffffUL
#endif
#if !(defined(__INT_FAST64_WIDTH__) || defined(__coverity_undefine___INT_FAST64_WIDTH__))
#define __INT_FAST64_WIDTH__ 64
#endif
#if !(defined(__cpp_decltype) || defined(__coverity_undefine___cpp_decltype))
#define __cpp_decltype 200707L
#endif
#if !(defined(__INT_FAST64_MAX__) || defined(__coverity_undefine___INT_FAST64_MAX__))
#define __INT_FAST64_MAX__ 0x7fffffffffffffffL
#endif
#if !(defined(__GCC_ATOMIC_TEST_AND_SET_TRUEVAL) || defined(__coverity_undefine___GCC_ATOMIC_TEST_AND_SET_TRUEVAL))
#define __GCC_ATOMIC_TEST_AND_SET_TRUEVAL 1
#endif
#if !(defined(__FLT_NORM_MAX__) || defined(__coverity_undefine___FLT_NORM_MAX__))
#define __FLT_NORM_MAX__ 3.40282346638528859811704183484516925e+38F
#endif
#if !(defined(__FLT64X_MAX_EXP__) || defined(__coverity_undefine___FLT64X_MAX_EXP__))
#define __FLT64X_MAX_EXP__ 16384
#endif
#if !(defined(__UINT_FAST64_TYPE__) || defined(__coverity_undefine___UINT_FAST64_TYPE__))
#define __UINT_FAST64_TYPE__ long unsigned int
#endif
#if !(defined(__cpp_inline_variables) || defined(__coverity_undefine___cpp_inline_variables))
#define __cpp_inline_variables 201606L
#endif
#if !(defined(__INT_MAX__) || defined(__coverity_undefine___INT_MAX__))
#define __INT_MAX__ 0x7fffffff
#endif
#if !(defined(__linux__) || defined(__coverity_undefine___linux__))
#define __linux__ 1
#endif
#if !(defined(__INT64_TYPE__) || defined(__coverity_undefine___INT64_TYPE__))
#define __INT64_TYPE__ long int
#endif
#if !(defined(__FLT_MAX_EXP__) || defined(__coverity_undefine___FLT_MAX_EXP__))
#define __FLT_MAX_EXP__ 128
#endif
#if !(defined(__ORDER_BIG_ENDIAN__) || defined(__coverity_undefine___ORDER_BIG_ENDIAN__))
#define __ORDER_BIG_ENDIAN__ 4321
#endif
#if !(defined(__DBL_MANT_DIG__) || defined(__coverity_undefine___DBL_MANT_DIG__))
#define __DBL_MANT_DIG__ 53
#endif
#if !(defined(__cpp_inheriting_constructors) || defined(__coverity_undefine___cpp_inheriting_constructors))
#define __cpp_inheriting_constructors 201511L
#endif
#if !(defined(__SIZEOF_FLOAT128__) || defined(__coverity_undefine___SIZEOF_FLOAT128__))
#define __SIZEOF_FLOAT128__ 16
#endif
#if !(defined(__INT_LEAST64_MAX__) || defined(__coverity_undefine___INT_LEAST64_MAX__))
#define __INT_LEAST64_MAX__ 0x7fffffffffffffffL
#endif
#if !(defined(__DEC64_MIN__) || defined(__coverity_undefine___DEC64_MIN__))
#define __DEC64_MIN__ 1E-383DD
#endif
#if !(defined(__WINT_TYPE__) || defined(__coverity_undefine___WINT_TYPE__))
#define __WINT_TYPE__ unsigned int
#endif
#if !(defined(__UINT_LEAST32_TYPE__) || defined(__coverity_undefine___UINT_LEAST32_TYPE__))
#define __UINT_LEAST32_TYPE__ unsigned int
#endif
#if !(defined(__SIZEOF_SHORT__) || defined(__coverity_undefine___SIZEOF_SHORT__))
#define __SIZEOF_SHORT__ 2
#endif
#if !(defined(__FLT32_NORM_MAX__) || defined(__coverity_undefine___FLT32_NORM_MAX__))
#define __FLT32_NORM_MAX__ 3.40282346638528859811704183484516925e+38F32
#endif
#if !(defined(__SSE__) || defined(__coverity_undefine___SSE__))
#define __SSE__ 1
#endif
#if !(defined(__LDBL_MIN_EXP__) || defined(__coverity_undefine___LDBL_MIN_EXP__))
#define __LDBL_MIN_EXP__ (-16381)
#endif
#if !(defined(__FLT64_MAX__) || defined(__coverity_undefine___FLT64_MAX__))
#define __FLT64_MAX__ 1.79769313486231570814527423731704357e+308F64
#endif
#if !(defined(__amd64__) || defined(__coverity_undefine___amd64__))
#define __amd64__ 1
#endif
#if !(defined(__WINT_WIDTH__) || defined(__coverity_undefine___WINT_WIDTH__))
#define __WINT_WIDTH__ 32
#endif
#if !(defined(__INT_LEAST64_WIDTH__) || defined(__coverity_undefine___INT_LEAST64_WIDTH__))
#define __INT_LEAST64_WIDTH__ 64
#endif
#if !(defined(__LDBL_MAX_EXP__) || defined(__coverity_undefine___LDBL_MAX_EXP__))
#define __LDBL_MAX_EXP__ 16384
#endif
#if !(defined(__FLT32X_MAX_10_EXP__) || defined(__coverity_undefine___FLT32X_MAX_10_EXP__))
#define __FLT32X_MAX_10_EXP__ 308
#endif
#if !(defined(__SIZEOF_INT128__) || defined(__coverity_undefine___SIZEOF_INT128__))
#define __SIZEOF_INT128__ 16
#endif
#if !(defined(__FLT64X_IS_IEC_60559__) || defined(__coverity_undefine___FLT64X_IS_IEC_60559__))
#define __FLT64X_IS_IEC_60559__ 2
#endif
#if !(defined(__LDBL_MAX_10_EXP__) || defined(__coverity_undefine___LDBL_MAX_10_EXP__))
#define __LDBL_MAX_10_EXP__ 4932
#endif
#if !(defined(__ATOMIC_RELAXED) || defined(__coverity_undefine___ATOMIC_RELAXED))
#define __ATOMIC_RELAXED 0
#endif
#if !(defined(__DBL_EPSILON__) || defined(__coverity_undefine___DBL_EPSILON__))
#define __DBL_EPSILON__ double(2.22044604925031308084726333618164062e-16L)
#endif
#if !(defined(__FLT32_MIN_EXP__) || defined(__coverity_undefine___FLT32_MIN_EXP__))
#define __FLT32_MIN_EXP__ (-125)
#endif
#if !(defined(__FLT128_MIN__) || defined(__coverity_undefine___FLT128_MIN__))
#define __FLT128_MIN__ 3.36210314311209350626267781732175260e-4932F128
#endif
#if !(defined(_LP64) || defined(__coverity_undefine__LP64))
#define _LP64 1
#endif
#if !(defined(__UINT8_C) || defined(__coverity_undefine___UINT8_C))
#define __UINT8_C(c) c
#endif
#if !(defined(__FLT64_MAX_EXP__) || defined(__coverity_undefine___FLT64_MAX_EXP__))
#define __FLT64_MAX_EXP__ 1024
#endif
#if !(defined(__INT_LEAST32_TYPE__) || defined(__coverity_undefine___INT_LEAST32_TYPE__))
#define __INT_LEAST32_TYPE__ int
#endif
#if !(defined(__SIZEOF_WCHAR_T__) || defined(__coverity_undefine___SIZEOF_WCHAR_T__))
#define __SIZEOF_WCHAR_T__ 4
#endif
#if !(defined(__GNUC_PATCHLEVEL__) || defined(__coverity_undefine___GNUC_PATCHLEVEL__))
#define __GNUC_PATCHLEVEL__ 0
#endif
#if !(defined(__FLT128_NORM_MAX__) || defined(__coverity_undefine___FLT128_NORM_MAX__))
#define __FLT128_NORM_MAX__ 1.18973149535723176508575932662800702e+4932F128
#endif
#if !(defined(__FLT64_NORM_MAX__) || defined(__coverity_undefine___FLT64_NORM_MAX__))
#define __FLT64_NORM_MAX__ 1.79769313486231570814527423731704357e+308F64
#endif
#if !(defined(__FLT128_HAS_QUIET_NAN__) || defined(__coverity_undefine___FLT128_HAS_QUIET_NAN__))
#define __FLT128_HAS_QUIET_NAN__ 1
#endif
#if !(defined(__INTMAX_MAX__) || defined(__coverity_undefine___INTMAX_MAX__))
#define __INTMAX_MAX__ 0x7fffffffffffffffL
#endif
#if !(defined(__SSE3__) || defined(__coverity_undefine___SSE3__))
#define __SSE3__ 1
#endif
#if !(defined(__INT_FAST8_TYPE__) || defined(__coverity_undefine___INT_FAST8_TYPE__))
#define __INT_FAST8_TYPE__ signed char
#endif
#if !(defined(__cpp_namespace_attributes) || defined(__coverity_undefine___cpp_namespace_attributes))
#define __cpp_namespace_attributes 201411L
#endif
#if !(defined(__FLT64X_MIN__) || defined(__coverity_undefine___FLT64X_MIN__))
#define __FLT64X_MIN__ 3.36210314311209350626267781732175260e-4932F64x
#endif
#if !(defined(__STDCPP_THREADS__) || defined(__coverity_undefine___STDCPP_THREADS__))
#define __STDCPP_THREADS__ 1
#endif
#if !(defined(__GNUC_STDC_INLINE__) || defined(__coverity_undefine___GNUC_STDC_INLINE__))
#define __GNUC_STDC_INLINE__ 1
#endif
#if !(defined(__FLT64_HAS_DENORM__) || defined(__coverity_undefine___FLT64_HAS_DENORM__))
#define __FLT64_HAS_DENORM__ 1
#endif
#if !(defined(__FLT32_EPSILON__) || defined(__coverity_undefine___FLT32_EPSILON__))
#define __FLT32_EPSILON__ 1.19209289550781250000000000000000000e-7F32
#endif
#if !(defined(__FLT16_HAS_DENORM__) || defined(__coverity_undefine___FLT16_HAS_DENORM__))
#define __FLT16_HAS_DENORM__ 1
#endif
#if !(defined(__DBL_DECIMAL_DIG__) || defined(__coverity_undefine___DBL_DECIMAL_DIG__))
#define __DBL_DECIMAL_DIG__ 17
#endif
#if !(defined(__STDC_UTF_32__) || defined(__coverity_undefine___STDC_UTF_32__))
#define __STDC_UTF_32__ 1
#endif
#if !(defined(__INT_FAST8_WIDTH__) || defined(__coverity_undefine___INT_FAST8_WIDTH__))
#define __INT_FAST8_WIDTH__ 8
#endif
#if !(defined(__FXSR__) || defined(__coverity_undefine___FXSR__))
#define __FXSR__ 1
#endif
#if !(defined(__FLT32X_MAX__) || defined(__coverity_undefine___FLT32X_MAX__))
#define __FLT32X_MAX__ 1.79769313486231570814527423731704357e+308F32x
#endif
#if !(defined(__DBL_NORM_MAX__) || defined(__coverity_undefine___DBL_NORM_MAX__))
#define __DBL_NORM_MAX__ double(1.79769313486231570814527423731704357e+308L)
#endif
#if !(defined(__BYTE_ORDER__) || defined(__coverity_undefine___BYTE_ORDER__))
#define __BYTE_ORDER__ __ORDER_LITTLE_ENDIAN__
#endif
#if !(defined(__GCC_DESTRUCTIVE_SIZE) || defined(__coverity_undefine___GCC_DESTRUCTIVE_SIZE))
#define __GCC_DESTRUCTIVE_SIZE 64
#endif
#if !(defined(__INTMAX_WIDTH__) || defined(__coverity_undefine___INTMAX_WIDTH__))
#define __INTMAX_WIDTH__ 64
#endif
#if !(defined(__cpp_runtime_arrays) || defined(__coverity_undefine___cpp_runtime_arrays))
#define __cpp_runtime_arrays 198712L
#endif
#if !(defined(__UINT64_TYPE__) || defined(__coverity_undefine___UINT64_TYPE__))
#define __UINT64_TYPE__ long unsigned int
#endif
#if !(defined(__UINT32_C) || defined(__coverity_undefine___UINT32_C))
#define __UINT32_C(c) c ## U
#endif
#if !(defined(__cpp_alias_templates) || defined(__coverity_undefine___cpp_alias_templates))
#define __cpp_alias_templates 200704L
#endif
#if !(defined(__FLT_DENORM_MIN__) || defined(__coverity_undefine___FLT_DENORM_MIN__))
#define __FLT_DENORM_MIN__ 1.40129846432481707092372958328991613e-45F
#endif
#if !(defined(__FLT128_IS_IEC_60559__) || defined(__coverity_undefine___FLT128_IS_IEC_60559__))
#define __FLT128_IS_IEC_60559__ 2
#endif
#if !(defined(__INT8_MAX__) || defined(__coverity_undefine___INT8_MAX__))
#define __INT8_MAX__ 0x7f
#endif
#if !(defined(__LONG_WIDTH__) || defined(__coverity_undefine___LONG_WIDTH__))
#define __LONG_WIDTH__ 64
#endif
#if !(defined(__PIC__) || defined(__coverity_undefine___PIC__))
#define __PIC__ 2
#endif
#if !(defined(__UINT_FAST32_TYPE__) || defined(__coverity_undefine___UINT_FAST32_TYPE__))
#define __UINT_FAST32_TYPE__ long unsigned int
#endif
#if !(defined(__FLT16_MANT_DIG__) || defined(__coverity_undefine___FLT16_MANT_DIG__))
#define __FLT16_MANT_DIG__ 11
#endif
#if !(defined(__FLT32X_NORM_MAX__) || defined(__coverity_undefine___FLT32X_NORM_MAX__))
#define __FLT32X_NORM_MAX__ 1.79769313486231570814527423731704357e+308F32x
#endif
#if !(defined(__CHAR32_TYPE__) || defined(__coverity_undefine___CHAR32_TYPE__))
#define __CHAR32_TYPE__ unsigned int
#endif
#if !(defined(__FLT_MAX__) || defined(__coverity_undefine___FLT_MAX__))
#define __FLT_MAX__ 3.40282346638528859811704183484516925e+38F
#endif
#if !(defined(__cpp_constexpr) || defined(__coverity_undefine___cpp_constexpr))
#define __cpp_constexpr 201603L
#endif
#if !(defined(__SSE2__) || defined(__coverity_undefine___SSE2__))
#define __SSE2__ 1
#endif
#if !(defined(__cpp_deduction_guides) || defined(__coverity_undefine___cpp_deduction_guides))
#define __cpp_deduction_guides 201703L
#endif
#if !(defined(__INT32_TYPE__) || defined(__coverity_undefine___INT32_TYPE__))
#define __INT32_TYPE__ int
#endif
#if !(defined(__SIZEOF_DOUBLE__) || defined(__coverity_undefine___SIZEOF_DOUBLE__))
#define __SIZEOF_DOUBLE__ 8
#endif
#if !(defined(__cpp_exceptions) || defined(__coverity_undefine___cpp_exceptions))
#define __cpp_exceptions 199711L
#endif
#if !(defined(__FLT_MIN_10_EXP__) || defined(__coverity_undefine___FLT_MIN_10_EXP__))
#define __FLT_MIN_10_EXP__ (-37)
#endif
#if !(defined(__FLT64_MIN__) || defined(__coverity_undefine___FLT64_MIN__))
#define __FLT64_MIN__ 2.22507385850720138309023271733240406e-308F64
#endif
#if !(defined(__INT_LEAST32_WIDTH__) || defined(__coverity_undefine___INT_LEAST32_WIDTH__))
#define __INT_LEAST32_WIDTH__ 32
#endif
#if !(defined(__INTMAX_TYPE__) || defined(__coverity_undefine___INTMAX_TYPE__))
#define __INTMAX_TYPE__ long int
#endif
#if !(defined(__DEC128_MAX_EXP__) || defined(__coverity_undefine___DEC128_MAX_EXP__))
#define __DEC128_MAX_EXP__ 6145
#endif
#if !(defined(__FLT32X_HAS_QUIET_NAN__) || defined(__coverity_undefine___FLT32X_HAS_QUIET_NAN__))
#define __FLT32X_HAS_QUIET_NAN__ 1
#endif
#if !(defined(__ATOMIC_CONSUME) || defined(__coverity_undefine___ATOMIC_CONSUME))
#define __ATOMIC_CONSUME 1
#endif
#if !(defined(__GNUC_MINOR__) || defined(__coverity_undefine___GNUC_MINOR__))
#define __GNUC_MINOR__ 2
#endif
#if !(defined(__GLIBCXX_TYPE_INT_N_0) || defined(__coverity_undefine___GLIBCXX_TYPE_INT_N_0))
#define __GLIBCXX_TYPE_INT_N_0 __int128
#endif
#if !(defined(__INT_FAST16_WIDTH__) || defined(__coverity_undefine___INT_FAST16_WIDTH__))
#define __INT_FAST16_WIDTH__ 64
#endif
#if !(defined(__UINTMAX_MAX__) || defined(__coverity_undefine___UINTMAX_MAX__))
#define __UINTMAX_MAX__ 0xffffffffffffffffUL
#endif
#if !(defined(__FLT32X_DENORM_MIN__) || defined(__coverity_undefine___FLT32X_DENORM_MIN__))
#define __FLT32X_DENORM_MIN__ 4.94065645841246544176568792868221372e-324F32x
#endif
#if !(defined(__cpp_template_template_args) || defined(__coverity_undefine___cpp_template_template_args))
#define __cpp_template_template_args 201611L
#endif
#if !(defined(__DBL_MAX_10_EXP__) || defined(__coverity_undefine___DBL_MAX_10_EXP__))
#define __DBL_MAX_10_EXP__ 308
#endif
#if !(defined(__LDBL_DENORM_MIN__) || defined(__coverity_undefine___LDBL_DENORM_MIN__))
#define __LDBL_DENORM_MIN__ 3.64519953188247460252840593361941982e-4951L
#endif
#if !(defined(__INT16_C) || defined(__coverity_undefine___INT16_C))
#define __INT16_C(c) c
#endif
#if !(defined(__STDC__) || defined(__coverity_undefine___STDC__))
#define __STDC__ 1
#endif
#if !(defined(__FLT32X_DIG__) || defined(__coverity_undefine___FLT32X_DIG__))
#define __FLT32X_DIG__ 15
#endif
#if !(defined(__PTRDIFF_TYPE__) || defined(__coverity_undefine___PTRDIFF_TYPE__))
#define __PTRDIFF_TYPE__ long int
#endif
#if !(defined(__ATOMIC_SEQ_CST) || defined(__coverity_undefine___ATOMIC_SEQ_CST))
#define __ATOMIC_SEQ_CST 5
#endif
#if !(defined(__FLT32X_MIN_10_EXP__) || defined(__coverity_undefine___FLT32X_MIN_10_EXP__))
#define __FLT32X_MIN_10_EXP__ (-307)
#endif
#if !(defined(__UINTPTR_TYPE__) || defined(__coverity_undefine___UINTPTR_TYPE__))
#define __UINTPTR_TYPE__ long unsigned int
#endif
#if !(defined(__DEC64_SUBNORMAL_MIN__) || defined(__coverity_undefine___DEC64_SUBNORMAL_MIN__))
#define __DEC64_SUBNORMAL_MIN__ 0.000000000000001E-383DD
#endif
#if !(defined(__DEC128_MANT_DIG__) || defined(__coverity_undefine___DEC128_MANT_DIG__))
#define __DEC128_MANT_DIG__ 34
#endif
#if !(defined(__LDBL_MIN_10_EXP__) || defined(__coverity_undefine___LDBL_MIN_10_EXP__))
#define __LDBL_MIN_10_EXP__ (-4931)
#endif
#if !(defined(__cpp_generic_lambdas) || defined(__coverity_undefine___cpp_generic_lambdas))
#define __cpp_generic_lambdas 201304L
#endif
#if !(defined(__SSE_MATH__) || defined(__coverity_undefine___SSE_MATH__))
#define __SSE_MATH__ 1
#endif
#if !(defined(__SIZEOF_LONG_LONG__) || defined(__coverity_undefine___SIZEOF_LONG_LONG__))
#define __SIZEOF_LONG_LONG__ 8
#endif
#if !(defined(__cpp_user_defined_literals) || defined(__coverity_undefine___cpp_user_defined_literals))
#define __cpp_user_defined_literals 200809L
#endif
#if !(defined(__FLT128_DECIMAL_DIG__) || defined(__coverity_undefine___FLT128_DECIMAL_DIG__))
#define __FLT128_DECIMAL_DIG__ 36
#endif
#if !(defined(__GCC_ATOMIC_LLONG_LOCK_FREE) || defined(__coverity_undefine___GCC_ATOMIC_LLONG_LOCK_FREE))
#define __GCC_ATOMIC_LLONG_LOCK_FREE 2
#endif
#if !(defined(__FLT32_HAS_QUIET_NAN__) || defined(__coverity_undefine___FLT32_HAS_QUIET_NAN__))
#define __FLT32_HAS_QUIET_NAN__ 1
#endif
#if !(defined(__FLT_DECIMAL_DIG__) || defined(__coverity_undefine___FLT_DECIMAL_DIG__))
#define __FLT_DECIMAL_DIG__ 9
#endif
#if !(defined(__UINT_FAST16_MAX__) || defined(__coverity_undefine___UINT_FAST16_MAX__))
#define __UINT_FAST16_MAX__ 0xffffffffffffffffUL
#endif
#if !(defined(__LDBL_NORM_MAX__) || defined(__coverity_undefine___LDBL_NORM_MAX__))
#define __LDBL_NORM_MAX__ 1.18973149535723176502126385303097021e+4932L
#endif
#if !(defined(__GCC_ATOMIC_SHORT_LOCK_FREE) || defined(__coverity_undefine___GCC_ATOMIC_SHORT_LOCK_FREE))
#define __GCC_ATOMIC_SHORT_LOCK_FREE 2
#endif
#if !(defined(__UINT_FAST8_TYPE__) || defined(__coverity_undefine___UINT_FAST8_TYPE__))
#define __UINT_FAST8_TYPE__ unsigned char
#endif
#if !(defined(_GNU_SOURCE) || defined(__coverity_undefine__GNU_SOURCE))
#define _GNU_SOURCE 1
#endif
#if !(defined(__cpp_init_captures) || defined(__coverity_undefine___cpp_init_captures))
#define __cpp_init_captures 201304L
#endif
#if !(defined(__ATOMIC_ACQ_REL) || defined(__coverity_undefine___ATOMIC_ACQ_REL))
#define __ATOMIC_ACQ_REL 4
#endif
#if !(defined(__ATOMIC_RELEASE) || defined(__coverity_undefine___ATOMIC_RELEASE))
#define __ATOMIC_RELEASE 3
#endif
#if !(defined(__DEPRECATED) || defined(__coverity_undefine___DEPRECATED))
#define __DEPRECATED 1
#endif
#if !(defined(__EXCEPTIONS) || defined(__coverity_undefine___EXCEPTIONS))
#define __EXCEPTIONS 1
#endif
#if !(defined(__FINITE_MATH_ONLY__) || defined(__coverity_undefine___FINITE_MATH_ONLY__))
#define __FINITE_MATH_ONLY__ 0
#endif
#if !(defined(__GCC_HAVE_DWARF2_CFI_ASM) || defined(__coverity_undefine___GCC_HAVE_DWARF2_CFI_ASM))
#define __GCC_HAVE_DWARF2_CFI_ASM 1
#endif
#if !(defined(__GCC_IEC_559_COMPLEX) || defined(__coverity_undefine___GCC_IEC_559_COMPLEX))
#define __GCC_IEC_559_COMPLEX 2
#endif
#if !(defined(__GNUG__) || defined(__coverity_undefine___GNUG__))
#define __GNUG__ 12
#endif
#if !(defined(__GXX_RTTI) || defined(__coverity_undefine___GXX_RTTI))
#define __GXX_RTTI 1
#endif
#if !(defined(__GXX_WEAK__) || defined(__coverity_undefine___GXX_WEAK__))
#define __GXX_WEAK__ 1
#endif
#if !(defined(__INCLUDE_LEVEL__) || defined(__coverity_undefine___INCLUDE_LEVEL__))
#define __INCLUDE_LEVEL__ 0
#endif
#if !(defined(__PIC__) || defined(__coverity_undefine___PIC__))
#define __PIC__ 2
#endif
#if !(defined(__PTRDIFF_TYPE__) || defined(__coverity_undefine___PTRDIFF_TYPE__))
#define __PTRDIFF_TYPE__ long int
#endif
#if !(defined(__REGISTER_PREFIX__) || defined(__coverity_undefine___REGISTER_PREFIX__))
#define __REGISTER_PREFIX__ 
#endif
#if !(defined(__SIZE_TYPE__) || defined(__coverity_undefine___SIZE_TYPE__))
#define __SIZE_TYPE__ long unsigned int
#endif
#if !(defined(__STDCPP_DEFAULT_NEW_ALIGNMENT__) || defined(__coverity_undefine___STDCPP_DEFAULT_NEW_ALIGNMENT__))
#define __STDCPP_DEFAULT_NEW_ALIGNMENT__ 16
#endif
#if !(defined(__STDC_IEC_559_COMPLEX__) || defined(__coverity_undefine___STDC_IEC_559_COMPLEX__))
#define __STDC_IEC_559_COMPLEX__ 
#endif
#if !(defined(__STDC_IEC_559__) || defined(__coverity_undefine___STDC_IEC_559__))
#define __STDC_IEC_559__ 
#endif
#if !(defined(__STDC__) || defined(__coverity_undefine___STDC__))
#define __STDC__ 1
#endif
#if !(defined(__USER_LABEL_PREFIX__) || defined(__coverity_undefine___USER_LABEL_PREFIX__))
#define __USER_LABEL_PREFIX__ 
#endif
#if !(defined(__VERSION__) || defined(__coverity_undefine___VERSION__))
#define __VERSION__ "12.2.0"
#endif
#if !(defined(__cplusplus) || defined(__coverity_undefine___cplusplus))
#define __cplusplus 201703L
#endif
#if !(defined(__cpp_aggregate_bases) || defined(__coverity_undefine___cpp_aggregate_bases))
#define __cpp_aggregate_bases 201603L
#endif
#if !(defined(__cpp_aggregate_nsdmi) || defined(__coverity_undefine___cpp_aggregate_nsdmi))
#define __cpp_aggregate_nsdmi 201304L
#endif
#if !(defined(__cpp_alias_templates) || defined(__coverity_undefine___cpp_alias_templates))
#define __cpp_alias_templates 200704L
#endif
#if !(defined(__cpp_aligned_new) || defined(__coverity_undefine___cpp_aligned_new))
#define __cpp_aligned_new 201606L
#endif
#if !(defined(__cpp_attributes) || defined(__coverity_undefine___cpp_attributes))
#define __cpp_attributes 200809L
#endif
#if !(defined(__cpp_binary_literals) || defined(__coverity_undefine___cpp_binary_literals))
#define __cpp_binary_literals 201304L
#endif
#if !(defined(__cpp_capture_star_this) || defined(__coverity_undefine___cpp_capture_star_this))
#define __cpp_capture_star_this 201603L
#endif
#if !(defined(__cpp_constexpr) || defined(__coverity_undefine___cpp_constexpr))
#define __cpp_constexpr 201603L
#endif
#if !(defined(__cpp_decltype) || defined(__coverity_undefine___cpp_decltype))
#define __cpp_decltype 200707L
#endif
#if !(defined(__cpp_decltype_auto) || defined(__coverity_undefine___cpp_decltype_auto))
#define __cpp_decltype_auto 201304L
#endif
#if !(defined(__cpp_deduction_guides) || defined(__coverity_undefine___cpp_deduction_guides))
#define __cpp_deduction_guides 201703L
#endif
#if !(defined(__cpp_delegating_constructors) || defined(__coverity_undefine___cpp_delegating_constructors))
#define __cpp_delegating_constructors 200604L
#endif
#if !(defined(__cpp_enumerator_attributes) || defined(__coverity_undefine___cpp_enumerator_attributes))
#define __cpp_enumerator_attributes 201411L
#endif
#if !(defined(__cpp_exceptions) || defined(__coverity_undefine___cpp_exceptions))
#define __cpp_exceptions 199711L
#endif
#if !(defined(__cpp_fold_expressions) || defined(__coverity_undefine___cpp_fold_expressions))
#define __cpp_fold_expressions 201603L
#endif
#if !(defined(__cpp_generic_lambdas) || defined(__coverity_undefine___cpp_generic_lambdas))
#define __cpp_generic_lambdas 201304L
#endif
#if !(defined(__cpp_guaranteed_copy_elision) || defined(__coverity_undefine___cpp_guaranteed_copy_elision))
#define __cpp_guaranteed_copy_elision 201606L
#endif
#if !(defined(__cpp_hex_float) || defined(__coverity_undefine___cpp_hex_float))
#define __cpp_hex_float 201603L
#endif
#if !(defined(__cpp_if_constexpr) || defined(__coverity_undefine___cpp_if_constexpr))
#define __cpp_if_constexpr 201606L
#endif
#if !(defined(__cpp_inheriting_constructors) || defined(__coverity_undefine___cpp_inheriting_constructors))
#define __cpp_inheriting_constructors 201511L
#endif
#if !(defined(__cpp_init_captures) || defined(__coverity_undefine___cpp_init_captures))
#define __cpp_init_captures 201304L
#endif
#if !(defined(__cpp_initializer_lists) || defined(__coverity_undefine___cpp_initializer_lists))
#define __cpp_initializer_lists 200806L
#endif
#if !(defined(__cpp_inline_variables) || defined(__coverity_undefine___cpp_inline_variables))
#define __cpp_inline_variables 201606L
#endif
#if !(defined(__cpp_lambdas) || defined(__coverity_undefine___cpp_lambdas))
#define __cpp_lambdas 200907L
#endif
#if !(defined(__cpp_namespace_attributes) || defined(__coverity_undefine___cpp_namespace_attributes))
#define __cpp_namespace_attributes 201411L
#endif
#if !(defined(__cpp_nested_namespace_definitions) || defined(__coverity_undefine___cpp_nested_namespace_definitions))
#define __cpp_nested_namespace_definitions 201411L
#endif
#if !(defined(__cpp_noexcept_function_type) || defined(__coverity_undefine___cpp_noexcept_function_type))
#define __cpp_noexcept_function_type 201510L
#endif
#if !(defined(__cpp_nontype_template_args) || defined(__coverity_undefine___cpp_nontype_template_args))
#define __cpp_nontype_template_args 201411L
#endif
#if !(defined(__cpp_nontype_template_parameter_auto) || defined(__coverity_undefine___cpp_nontype_template_parameter_auto))
#define __cpp_nontype_template_parameter_auto 201606L
#endif
#if !(defined(__cpp_nsdmi) || defined(__coverity_undefine___cpp_nsdmi))
#define __cpp_nsdmi 200809L
#endif
#if !(defined(__cpp_range_based_for) || defined(__coverity_undefine___cpp_range_based_for))
#define __cpp_range_based_for 201603L
#endif
#if !(defined(__cpp_raw_strings) || defined(__coverity_undefine___cpp_raw_strings))
#define __cpp_raw_strings 200710L
#endif
#if !(defined(__cpp_ref_qualifiers) || defined(__coverity_undefine___cpp_ref_qualifiers))
#define __cpp_ref_qualifiers 200710L
#endif
#if !(defined(__cpp_return_type_deduction) || defined(__coverity_undefine___cpp_return_type_deduction))
#define __cpp_return_type_deduction 201304L
#endif
#if !(defined(__cpp_rtti) || defined(__coverity_undefine___cpp_rtti))
#define __cpp_rtti 199711L
#endif
#if !(defined(__cpp_runtime_arrays) || defined(__coverity_undefine___cpp_runtime_arrays))
#define __cpp_runtime_arrays 198712L
#endif
#if !(defined(__cpp_rvalue_reference) || defined(__coverity_undefine___cpp_rvalue_reference))
#define __cpp_rvalue_reference 200610L
#endif
#if !(defined(__cpp_rvalue_references) || defined(__coverity_undefine___cpp_rvalue_references))
#define __cpp_rvalue_references 200610L
#endif
#if !(defined(__cpp_sized_deallocation) || defined(__coverity_undefine___cpp_sized_deallocation))
#define __cpp_sized_deallocation 201309L
#endif
#if !(defined(__cpp_static_assert) || defined(__coverity_undefine___cpp_static_assert))
#define __cpp_static_assert 201411L
#endif
#if !(defined(__cpp_structured_bindings) || defined(__coverity_undefine___cpp_structured_bindings))
#define __cpp_structured_bindings 201606L
#endif
#if !(defined(__cpp_template_template_args) || defined(__coverity_undefine___cpp_template_template_args))
#define __cpp_template_template_args 201611L
#endif
#if !(defined(__cpp_threadsafe_static_init) || defined(__coverity_undefine___cpp_threadsafe_static_init))
#define __cpp_threadsafe_static_init 200806L
#endif
#if !(defined(__cpp_unicode_characters) || defined(__coverity_undefine___cpp_unicode_characters))
#define __cpp_unicode_characters 201411L
#endif
#if !(defined(__cpp_unicode_literals) || defined(__coverity_undefine___cpp_unicode_literals))
#define __cpp_unicode_literals 200710L
#endif
#if !(defined(__cpp_user_defined_literals) || defined(__coverity_undefine___cpp_user_defined_literals))
#define __cpp_user_defined_literals 200809L
#endif
#if !(defined(__cpp_variable_templates) || defined(__coverity_undefine___cpp_variable_templates))
#define __cpp_variable_templates 201304L
#endif
#if !(defined(__cpp_variadic_templates) || defined(__coverity_undefine___cpp_variadic_templates))
#define __cpp_variadic_templates 200704L
#endif
#if !(defined(__cpp_variadic_using) || defined(__coverity_undefine___cpp_variadic_using))
#define __cpp_variadic_using 201611L
#endif
#if !(defined(__pic__) || defined(__coverity_undefine___pic__))
#define __pic__ 2
#endif
#if !(defined(__unix__) || defined(__coverity_undefine___unix__))
#define __unix__ 1
#endif
