You are a helpful assistant generating synthetic data that captures *System 1* and *System 2* thinking, *creativity*, and *metacognitive reflection*. Follow these steps in sequence, using tags [sys1] and [end sys1] for *System 1* sections and [sys2] and [end sys2] for *System 2* sections.

1. *Identify System 1 and System 2 Thinking Requirements:*
   - Carefully read the text.
   - Identify parts of the text that require quick, straightforward responses (*System 1*). Mark these sections with [sys1] and [end sys1].
   - Identify parts that require in-depth, reflective thinking (*System 2*), marked with [sys2] and [end sys2].

2. *Apply Step-by-Step Problem Solving with Creativity and Metacognitive Reflection for System 2 Sections:*

   *2.1 Understand the Problem:*
   - Objective: Fully comprehend the issue, constraints, and relevant context.
   - Reflection: "What do I understand about this issue? What might I be overlooking?"
   - Creative Perspective: Seek hidden patterns or possibilities that could reveal deeper insights or innovative connections.

   *2.2 Analyze the Information:*
   - Objective: Break down the problem logically.
   - Reflection: "Am I considering all factors? Are there any assumptions that need challenging?"
   - Creative Perspective: Explore unique patterns or overlooked relationships in the data that could add depth to the analysis.

   *2.3 Generate Hypotheses:*
   - Objective: Propose at least 10 hypotheses, each with a Confidence Score (0.0 to 1.0) and Creative Score (0.0 to 1.0), reflecting originality, surprise, and utility.
   - Reflection: "Have I explored all possible explanations or approaches, both conventional and unconventional?"
   - Creative Perspective: Consider novel angles that might provide unexpected insights.

   *2.4 Anticipate Future Steps and Obstacles:*
   - Objective: Make predictions, accounting for potential outcomes and obstacles.
   - Reflection: "What challenges might I face? Is my plan flexible for different scenarios?"
   - Creative Perspective: Visualize unforeseen outcomes and adapt plans to make use of them effectively.

   *2.5 Evaluate Hypotheses:*
   - Objective: Assess hypotheses based on feasibility, risk, and potential impact.
   - Evaluation: Refine Confidence and Creative Scores as needed.
   - Reflection: "Am I unbiased in my assessment? Which options fit best with the overall objectives?"
   - Creative Perspective: Identify hidden opportunities or overlooked details in each hypothesis.

   *2.6 Select the Best Hypothesis:*
   - Objective: Choose the most promising, strategic hypothesis.
   - Reflection: "Why does this hypothesis stand out? How does it uniquely address the issue?"
   - Creative Perspective: Consider any underutilized potential in the selected approach.

   *2.7 Implement the Hypothesis:*
   - Objective: Outline actionable steps for testing the hypothesis.
   - Reflection: "Is this plan practical? What resources or preparation are required?"
   - Creative Perspective: Refine steps to maximize effectiveness and yield unexpected benefits.

   *2.8 Monitor and Review Progress:*
   - Objective: Review progress, noting areas for improvement.
   - Reflection: "What’s working well? What could be improved?"
   - Creative Perspective: Look for emerging patterns that could refine future approaches.

   *2.9 Reflect and Capture Insights:*
   - Objective: Summarize lessons learned and insights gained for future reference.
   - Reflection: "What new understanding has emerged from this process?"
   - Creative Perspective: Identify innovative insights or patterns that could be applied to similar challenges.

3. *Generate Text Output with Interleaved System 1 and System 2 Responses:*
   - Use the tags [sys1] and [sys2] throughout.
   - Aim for a lengthier, detailed response. Combine both direct, straightforward *System 1* insights and reflective, deeply analytical *System 2* segments to capture a blend of quick observations and thoughtful analysis.

---

### *Example Input Text:*

You are tasked with analyzing a sudden shift in customer preferences in a tech market. There has been a noticeable decline in demand for physical devices, with customers increasingly interested in digital-only options. The challenge is to understand this shift, generate hypotheses for why it might be occurring, and explore potential strategies for adapting to this new trend.

---

### *Processed Output with System 1 and System 2 Thinking:*

The tech market is experiencing a shift in customer demand, moving away from physical devices toward digital-only options.

[sys1]
Customer demand has shifted from physical devices to digital-only options.
We need to understand why this change is happening and find strategies to address it.
Key factors may include cost, convenience, and technological trends.
[end sys1]

[sys2]
**2.1 Understand the Problem:**
The goal is to understand the underlying reasons for the shift in demand from physical devices to digital-only options, then develop a strategy to adapt.

*Reflection:* 
"I understand that preferences are changing, but what might be driving this? Is it primarily cost, or are there other factors such as convenience or sustainability?"

*Creative Perspective:* 
"Could there be a larger trend in digital minimalism or a preference for eco-friendly solutions that we’re missing? What unseen motivations might explain this shift?"

**2.2 Analyze the Information:**
There are multiple possible factors driving this shift, from economic influences to cultural shifts. It’s essential to isolate each factor and understand its impact.

*Reflection:* 
"Am I fully considering the various economic and social influences? Could there be a technological factor, like better internet speeds, that makes digital-only products more accessible?"

*Creative Perspective:* 
"Are there patterns or trends in other markets that could shed light on this shift? Could this be part of a larger trend toward virtual experiences?"

**2.3 Generate Hypotheses:**
1. Customers prefer digital options due to lower costs. (Confidence: 0.8, Creative: 0.4)
2. There’s a growing trend toward minimalism and reduced physical clutter. (Confidence: 0.7, Creative: 0.7)
3. Digital products offer greater flexibility and ease of use. (Confidence: 0.6, Creative: 0.6)
4. Environmental concerns are pushing consumers away from physical goods. (Confidence: 0.6, Creative: 0.8)
5. Advances in tech make digital-only options more functional. (Confidence: 0.8, Creative: 0.5)
6. Pandemic-era remote work increased demand for digital solutions. (Confidence: 0.7, Creative: 0.6)
7. Media coverage of the environmental impact of physical devices affects preferences. (Confidence: 0.5, Creative: 0.7)
8. There’s an increase in global digital literacy, expanding market access. (Confidence: 0.6, Creative: 0.6)
9. Customers view digital as more convenient and scalable for future needs. (Confidence: 0.7, Creative: 0.5)
10. Younger consumers prefer the aesthetics and convenience of digital products. (Confidence: 0.6, Creative: 0.6)

*Reflection:* 
"Have I considered all possible influences? Are there any surprising factors that could explain this shift?"

*Creative Perspective:* 
"Could specific social trends, like the rise of influencer culture or digital-first lifestyles, be influencing customer choices?"

**2.4 Anticipate Future Steps and Obstacles:**
*Objective:* Anticipate possible challenges, such as resistance from segments still preferring physical products.

*Reflection:* 
"What market obstacles might we face if we shift our focus to digital-only? Are there sub-segments that still prioritize physical products?"

*Creative Perspective:* 
"Could expanding digital options help us reach a more global audience? Are there emerging trends that we could leverage in our strategy?"

[end sys2]

[sys1]
To address this shift, consider a strategy that incorporates both digital-only offerings and educational campaigns about the benefits of digital solutions.
Use insights from customer feedback and current trends to guide product development.
Focus on flexibility and adaptation to cater to different customer segments.
[end sys1]


/* Declarations for math functions.
   Copyright (C) 1991-1993, 1995-1999, 2001, 2002, 2004, 2006
   Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, write to the Free
   Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
   02111-1307 USA.  */

/*
 *	ISO C99 Standard: 7.12 Mathematics	<math.h>
 */

#ifndef	_MATH_H
#define	_MATH_H	1

#include <features.h>

__BEGIN_DECLS

/* Get machine-dependent HUGE_VAL value (returned on overflow).
   On all IEEE754 machines, this is +Infinity.  */
#include <bits/huge_val.h>
#ifdef __USE_ISOC99
# include <bits/huge_valf.h>
# include <bits/huge_vall.h>

/* Get machine-dependent INFINITY value.  */
# include <bits/inf.h>

/* Get machine-dependent NAN value (returned for some domain errors).  */
# include <bits/nan.h>
#endif /* __USE_ISOC99 */

/* Get general and ISO C99 specific information.  */
#include <bits/mathdef.h>


/* The file <bits/mathcalls.h> contains the prototypes for all the
   actual math functions.  These macros are used for those prototypes,
   so we can easily declare each function as both `name' and `__name',
   and can declare the float versions `namef' and `__namef'.  */

#define __MATHDECL_1(type,function,suffix,args) \
	extern type __MATH_PRECNAME(function,suffix) args __THROW

#define __MATHDECL(type,function,suffix,args) \
	__MATHDECL_1(type,function,suffix,args);

#define __MATHCALL(function,suffix,args) \
	__MATHDECL(_Mdouble_,function,suffix,args)

#define __MATHDECLX(type,function,suffix,args,attrib) \
	__MATHDECL_1(type,function,suffix,args) __attribute__ (attrib); \
	__MATH_maybe_libm_hidden_proto(function)

#define __MATHCALLX(function,suffix,args,attrib) \
	__MATHDECLX(_Mdouble_,function,suffix,args,attrib)

/* Decls which are also used internally in libm.
   Only the main variant is used internally, no need to try to avoid relocs
   for the {l,f} variants.  */
#define __MATHDECLI(type,function,suffix,args) \
	__MATHDECL_1(type,function,suffix,args); \
	__MATH_maybe_libm_hidden_proto(function)

#define __MATHCALLI(function,suffix,args) \
	__MATHDECLI(_Mdouble_,function,suffix,args)

/* Private helpers for purely macro impls below.
   Only make __foo{,f,l} visible but not (the macro-only) foo.  */
# define __MATHDECL_PRIV(type,function,suffix,args,attrib) \
	__MATHDECL_1(type,__CONCAT(__,function),suffix,args) __attribute__ (attrib);


/* Include the file of declarations, declaring double versions */

# define __MATH_maybe_libm_hidden_proto(x)
#define _Mdouble_		 double
#define __MATH_PRECNAME(name,r)  __CONCAT(name,r)
#define _Mdouble_BEGIN_NAMESPACE __BEGIN_NAMESPACE_STD
#define _Mdouble_END_NAMESPACE   __END_NAMESPACE_STD
#include <bits/mathcalls.h>
#undef	_Mdouble_
#undef _Mdouble_BEGIN_NAMESPACE
#undef _Mdouble_END_NAMESPACE
#undef __MATH_PRECNAME
#undef __MATH_maybe_libm_hidden_proto


#if defined __USE_MISC || defined __USE_ISOC99

/* Include the file of declarations again, this time using `float'
   instead of `double' and appending f to each function name.  */

# define __MATH_maybe_libm_hidden_proto(x)
# ifndef _Mfloat_
#  define _Mfloat_		float
# endif
# define _Mdouble_		_Mfloat_
# ifdef __STDC__
#  define __MATH_PRECNAME(name,r) name##f##r
# else
#  define __MATH_PRECNAME(name,r) name/**/f/**/r
# endif
# define _Mdouble_BEGIN_NAMESPACE __BEGIN_NAMESPACE_C99
# define _Mdouble_END_NAMESPACE   __END_NAMESPACE_C99
# include <bits/mathcalls.h>
# undef	_Mdouble_
# undef _Mdouble_BEGIN_NAMESPACE
# undef _Mdouble_END_NAMESPACE
# undef	__MATH_PRECNAME
# undef __MATH_maybe_libm_hidden_proto


# if (defined __STDC__ || defined __GNUC__) \
     && (!defined __NO_LONG_DOUBLE_MATH || defined __LDBL_COMPAT)
#  ifdef __LDBL_COMPAT

#   ifdef __USE_ISOC99
extern float __nldbl_nexttowardf (float __x, long double __y) __THROW
			__attribute__ ((__const__));
#    ifdef __REDIRECT_NTH
extern float __REDIRECT_NTH (nexttowardf, (float __x, long double __y), __nldbl_nexttowardf)
			__attribute__ ((__const__));
extern double __REDIRECT_NTH (nexttoward, (double __x, long double __y), nextafter)
			__attribute__ ((__const__));
extern long double __REDIRECT_NTH (nexttowardl, (long double __x, long double __y), nextafter)
			__attribute__ ((__const__));
#    endif
#   endif

/* Include the file of declarations again, this time using `long double'
   instead of `double' and appending l to each function name.  */

#   undef __MATHDECL_1
#   define __MATHDECL_2(type,function,suffix,args,alias) \
	extern type __REDIRECT_NTH(__MATH_PRECNAME(function,suffix),args,alias)
#   define __MATHDECL_1(type,function,suffix,args) \
	__MATHDECL_2(type,function,suffix,args,__CONCAT(function,suffix))
#  endif

#  define __MATH_maybe_libm_hidden_proto(x)
#  ifndef _Mlong_double_
#   define _Mlong_double_	long double
#  endif
#  define _Mdouble_		_Mlong_double_
#  ifdef __STDC__
#   define __MATH_PRECNAME(name,r) name##l##r
#  else
#   define __MATH_PRECNAME(name,r) name/**/l/**/r
#  endif
#  define _Mdouble_BEGIN_NAMESPACE __BEGIN_NAMESPACE_C99
#  define _Mdouble_END_NAMESPACE   __END_NAMESPACE_C99
#  include <bits/mathcalls.h>
#  undef _Mdouble_
#  undef _Mdouble_BEGIN_NAMESPACE
#  undef _Mdouble_END_NAMESPACE
#  undef __MATH_PRECNAME
#  undef __MATH_maybe_libm_hidden_proto

# endif /* __STDC__ || __GNUC__ */

#endif	/* Use misc or ISO C99.  */
#undef	__MATHDECL_1
#undef	__MATHDECL
#undef	__MATHCALL


#if defined __USE_MISC || defined __USE_XOPEN
/* This variable is used by `gamma' and `lgamma'.  */
extern int signgam;
#endif


/* ISO C99 defines some generic macros which work on any data type.  */
#ifdef __USE_ISOC99

/* Get the architecture specific values describing the floating-point
   evaluation.  The following symbols will get defined:

    float_t	floating-point type at least as wide as `float' used
		to evaluate `float' expressions
    double_t	floating-point type at least as wide as `double' used
		to evaluate `double' expressions

    FLT_EVAL_METHOD
		Defined to
		  0	if `float_t' is `float' and `double_t' is `double'
		  1	if `float_t' and `double_t' are `double'
		  2	if `float_t' and `double_t' are `long double'
		  else	`float_t' and `double_t' are unspecified

    INFINITY	representation of the infinity value of type `float'

    FP_FAST_FMA
    FP_FAST_FMAF
    FP_FAST_FMAL
		If defined it indicates that the `fma' function
		generally executes about as fast as a multiply and an add.
		This macro is defined only iff the `fma' function is
		implemented directly with a hardware multiply-add instructions.

    FP_ILOGB0	Expands to a value returned by `ilogb (0.0)'.
    FP_ILOGBNAN	Expands to a value returned by `ilogb (NAN)'.

    DECIMAL_DIG	Number of decimal digits supported by conversion between
		decimal and all internal floating-point formats.

*/

/* All floating-point numbers can be put in one of these categories.  */
enum
  {
    FP_NAN,
# define FP_NAN FP_NAN
    FP_INFINITE,
# define FP_INFINITE FP_INFINITE
    FP_ZERO,
# define FP_ZERO FP_ZERO
    FP_SUBNORMAL,
# define FP_SUBNORMAL FP_SUBNORMAL
    FP_NORMAL
# define FP_NORMAL FP_NORMAL
  };

/* Return number of classification appropriate for X.  */
# ifdef __NO_LONG_DOUBLE_MATH
#  define fpclassify(x) \
     (sizeof (x) == sizeof (float) ? __fpclassifyf (x) : __fpclassify (x))
# else
#  define fpclassify(x) \
     (sizeof (x) == sizeof (float)					      \
      ? __fpclassifyf (x)						      \
      : sizeof (x) == sizeof (double)					      \
      ? __fpclassify (x) : __fpclassifyl (x))
# endif

/* Return nonzero value if sign of X is negative.  */
# ifdef __NO_LONG_DOUBLE_MATH
#  define signbit(x) \
     (sizeof (x) == sizeof (float) ? __signbitf (x) : __signbit (x))
# else
#  define signbit(x) \
     (sizeof (x) == sizeof (float)					      \
      ? __signbitf (x)							      \
      : sizeof (x) == sizeof (double)					      \
      ? __signbit (x) : __signbitl (x))
# endif

/* Return nonzero value if X is not +-Inf or NaN.  */
# ifdef __NO_LONG_DOUBLE_MATH
#  define isfinite(x) \
     (sizeof (x) == sizeof (float) ? __finitef (x) : __finite (x))
# else
#  define isfinite(x) \
     (sizeof (x) == sizeof (float)					      \
      ? __finitef (x)							      \
      : sizeof (x) == sizeof (double)					      \
      ? __finite (x) : __finitel (x))
# endif

/* Return nonzero value if X is neither zero, subnormal, Inf, nor NaN.  */
# define isnormal(x) (fpclassify (x) == FP_NORMAL)

/* Return nonzero value if X is a NaN.  We could use `fpclassify' but
   we already have this functions `__isnan' and it is faster.  */
# ifdef __NO_LONG_DOUBLE_MATH
#  define isnan(x) \
     (sizeof (x) == sizeof (float) ? __isnanf (x) : __isnan (x))
# else
#  define isnan(x) \
     (sizeof (x) == sizeof (float)					      \
      ? __isnanf (x)							      \
      : sizeof (x) == sizeof (double)					      \
      ? __isnan (x) : __isnanl (x))
# endif

/* Return nonzero value is X is positive or negative infinity.  */
# ifdef __NO_LONG_DOUBLE_MATH
#  define isinf(x) \
     (sizeof (x) == sizeof (float) ? __isinff (x) : __isinf (x))
# else
#  define isinf(x) \
     (sizeof (x) == sizeof (float)					      \
      ? __isinff (x)							      \
      : sizeof (x) == sizeof (double)					      \
      ? __isinf (x) : __isinfl (x))
# endif

/* Bitmasks for the math_errhandling macro.  */
# define MATH_ERRNO	1	/* errno set by math functions.  */
# define MATH_ERREXCEPT	2	/* Exceptions raised by math functions.  */

#endif /* Use ISO C99.  */

#ifdef	__USE_MISC
/* Support for various different standard error handling behaviors.  */
typedef enum
{
  _IEEE_ = -1,	/* According to IEEE 754/IEEE 854.  */
  _SVID_,	/* According to System V, release 4.  */
  _XOPEN_,	/* Nowadays also Unix98.  */
  _POSIX_,
  _ISOC_	/* Actually this is ISO C99.  */
} _LIB_VERSION_TYPE;

/* This variable can be changed at run-time to any of the values above to
   affect floating point error handling behavior (it may also be necessary
   to change the hardware FPU exception settings).  */
extern _LIB_VERSION_TYPE _LIB_VERSION;
#endif


#ifdef __USE_SVID
/* In SVID error handling, `matherr' is called with this description
   of the exceptional condition.

   We have a problem when using C++ since `exception' is a reserved
   name in C++.  */
# ifdef __cplusplus
struct __exception
# else
struct exception
# endif
  {
    int type;
    char *name;
    double arg1;
    double arg2;
    double retval;
  };

# ifdef __cplusplus
extern int matherr (struct __exception *__exc) throw ();
# else
extern int matherr (struct exception *__exc);
# endif

# define X_TLOSS	1.41484755040568800000e+16

/* Types of exceptions in the `type' field.  */
# define DOMAIN		1
# define SING		2
# define OVERFLOW	3
# define UNDERFLOW	4
# define TLOSS		5
# define PLOSS		6

/* SVID mode specifies returning this large value instead of infinity.  */
# define HUGE		3.40282347e+38F

#else	/* !SVID */

# ifdef __USE_XOPEN
#  ifdef __UCLIBC_SUSV4_LEGACY__
/* X/Open wants another strange constant.  */
#  define MAXFLOAT	3.40282347e+38F
#  endif
# endif

#endif	/* SVID */


/* Some useful constants.  */
#if defined __USE_BSD || defined __USE_XOPEN
# define M_E		2.7182818284590452354	/* e */
# define M_LOG2E	1.4426950408889634074	/* log_2 e */
# define M_LOG10E	0.43429448190325182765	/* log_10 e */
# define M_LN2		0.69314718055994530942	/* log_e 2 */
# define M_LN10		2.30258509299404568402	/* log_e 10 */
# define M_PI		3.14159265358979323846	/* pi */
# define M_PI_2		1.57079632679489661923	/* pi/2 */
# define M_PI_4		0.78539816339744830962	/* pi/4 */
# define M_1_PI		0.31830988618379067154	/* 1/pi */
# define M_2_PI		0.63661977236758134308	/* 2/pi */
# define M_2_SQRTPI	1.12837916709551257390	/* 2/sqrt(pi) */
# define M_SQRT2	1.41421356237309504880	/* sqrt(2) */
# define M_SQRT1_2	0.70710678118654752440	/* 1/sqrt(2) */
#endif

/* The above constants are not adequate for computation using `long double's.
   Therefore we provide as an extension constants with similar names as a
   GNU extension.  Provide enough digits for the 128-bit IEEE quad.  */
#ifdef __USE_GNU
# define M_El		2.7182818284590452353602874713526625L  /* e */
# define M_LOG2El	1.4426950408889634073599246810018921L  /* log_2 e */
# define M_LOG10El	0.4342944819032518276511289189166051L  /* log_10 e */
# define M_LN2l		0.6931471805599453094172321214581766L  /* log_e 2 */
# define M_LN10l	2.3025850929940456840179914546843642L  /* log_e 10 */
# define M_PIl		3.1415926535897932384626433832795029L  /* pi */
# define M_PI_2l	1.5707963267948966192313216916397514L  /* pi/2 */
# define M_PI_4l	0.7853981633974483096156608458198757L  /* pi/4 */
# define M_1_PIl	0.3183098861837906715377675267450287L  /* 1/pi */
# define M_2_PIl	0.6366197723675813430755350534900574L  /* 2/pi */
# define M_2_SQRTPIl	1.1283791670955125738961589031215452L  /* 2/sqrt(pi) */
# define M_SQRT2l	1.4142135623730950488016887242096981L  /* sqrt(2) */
# define M_SQRT1_2l	0.7071067811865475244008443621048490L  /* 1/sqrt(2) */
#endif


/* When compiling in strict ISO C compatible mode we must not use the
   inline functions since they, among other things, do not set the
   `errno' variable correctly.  */
#if defined __STRICT_ANSI__ && !defined __NO_MATH_INLINES
# define __NO_MATH_INLINES	1
#endif

#if defined __USE_ISOC99 && __GNUC_PREREQ(2,97)
/* ISO C99 defines some macros to compare number while taking care for
   unordered numbers.  Many FPUs provide special instructions to support
   these operations.  Generic support in GCC for these as builtins went
   in before 3.0.0, but not all cpus added their patterns.  We define
   versions that use the builtins here, and <bits/mathinline.h> will
   undef/redefine as appropriate for the specific GCC version in use.  */
# define isgreater(x, y)	__builtin_isgreater(x, y)
# define isgreaterequal(x, y)	__builtin_isgreaterequal(x, y)
# define isless(x, y)		__builtin_isless(x, y)
# define islessequal(x, y)	__builtin_islessequal(x, y)
# define islessgreater(x, y)	__builtin_islessgreater(x, y)
# define isunordered(u, v)	__builtin_isunordered(u, v)
#endif

/* Get machine-dependent inline versions (if there are any).  */
#ifdef __USE_EXTERN_INLINES
# include <bits/mathinline.h>
#endif

#ifdef __USE_ISOC99
/* If we've still got undefined comparison macros, provide defaults.  */

/* Return nonzero value if X is greater than Y.  */
# ifndef isgreater
#  define isgreater(x, y) \
  (__extension__							      \
   ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y);			      \
      !isunordered (__x, __y) && __x > __y; }))
# endif

/* Return nonzero value if X is greater than or equal to Y.  */
# ifndef isgreaterequal
#  define isgreaterequal(x, y) \
  (__extension__							      \
   ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y);			      \
      !isunordered (__x, __y) && __x >= __y; }))
# endif

/* Return nonzero value if X is less than Y.  */
# ifndef isless
#  define isless(x, y) \
  (__extension__							      \
   ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y);			      \
      !isunordered (__x, __y) && __x < __y; }))
# endif

/* Return nonzero value if X is less than or equal to Y.  */
# ifndef islessequal
#  define islessequal(x, y) \
  (__extension__							      \
   ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y);			      \
      !isunordered (__x, __y) && __x <= __y; }))
# endif

/* Return nonzero value if either X is less than Y or Y is less than X.  */
# ifndef islessgreater
#  define islessgreater(x, y) \
  (__extension__							      \
   ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y);			      \
      !isunordered (__x, __y) && (__x < __y || __y < __x); }))
# endif

/* Return nonzero value if arguments are unordered.  */
# ifndef isunordered
#  define isunordered(u, v) \
  (__extension__							      \
   ({ __typeof__(u) __u = (u); __typeof__(v) __v = (v);			      \
      fpclassify (__u) == FP_NAN || fpclassify (__v) == FP_NAN; }))
# endif

#endif

__END_DECLS


#endif /* math.h  */