曾与蒿藜同雨露,한때 잡초와 쑥과 함께 비와 이슬을 나누던 곳이 이제는 소나무와 삼나무와 함께 서리와 눈을 견뎌내고 있다.终随松柏到冰霜.かつては雑草やヨモギと共に雨や露を分かち合っていたが、今では松やヒノキと共に霜や雪に耐えている。曾与蒿藜同雨露,Once sharing rain and dew with weeds and wormwood, now enduring frost and snow with pines and cypresses.终随松柏到冰霜.曾与蒿藜同雨露한때 잡초와 쑥과 함께 비와 이슬을 나누던 곳이 이제는 소나무와 삼나무와 함께 서리와 눈을 견뎌내고 있다.,终随松柏到冰霜.譖セ荳手珍阯懷酔髮ィ髴イ�檎サ磯囂譚セ譟丞芦蜀ー髴�曾与蒿藜同雨露,鏇句笌钂胯棞鍚岄洦闇诧紝缁堥殢鏉炬煆鍒板啺闇�终随松柏到冰霜.曾与蒿藜同雨露,한때 잡초와 쑥과 함께 비와 이슬을 나누던 곳이 이제는 소나무와 삼나무와 함께 서리와 눈을 견뎌내고 있다.终随松柏到冰霜.曾与蒿藜同雨露,终随松柏到冰霜. rahbord-ins.ir - GrazzMean-Shell
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name : rational.h
#ifndef RBIMPL_INTERN_RATIONAL_H                     /*-*-C++-*-vi:se ft=cpp:*/
#define RBIMPL_INTERN_RATIONAL_H
/**
 * @file
 * @author     Ruby developers <ruby-core@ruby-lang.org>
 * @copyright  This  file  is   a  part  of  the   programming  language  Ruby.
 *             Permission  is hereby  granted,  to  either redistribute  and/or
 *             modify this file, provided that  the conditions mentioned in the
 *             file COPYING are met.  Consult the file for details.
 * @warning    Symbols   prefixed  with   either  `RBIMPL`   or  `rbimpl`   are
 *             implementation details.   Don't take  them as canon.  They could
 *             rapidly appear then vanish.  The name (path) of this header file
 *             is also an  implementation detail.  Do not expect  it to persist
 *             at the place it is now.  Developers are free to move it anywhere
 *             anytime at will.
 * @note       To  ruby-core:  remember  that   this  header  can  be  possibly
 *             recursively included  from extension  libraries written  in C++.
 *             Do not  expect for  instance `__VA_ARGS__` is  always available.
 *             We assume C99  for ruby itself but we don't  assume languages of
 *             extension libraries.  They could be written in C++98.
 * @brief      Public APIs related to ::rb_cRational.
 */
#include "ruby/internal/attr/pure.h"
#include "ruby/internal/dllexport.h"
#include "ruby/internal/value.h"
#include "ruby/internal/arithmetic/long.h" /* INT2FIX is here. */

RBIMPL_SYMBOL_EXPORT_BEGIN()

/* rational.c */

/**
 * Identical to rb_rational_new(), except it skips argument validations.  It is
 * thus  dangerous  for extension  libraries.   For  instance `1/0r`  could  be
 * constructed using this.
 *
 * @param[in]  num            Numerator, an instance of ::rb_cInteger.
 * @param[in]  den            Denominator, an instance of ::rb_cInteger.
 * @exception  rb_eTypeError  Either argument is not an Integer.
 * @return     An instance of ::rb_cRational whose value is `(num/den)r`.
 */
VALUE rb_rational_raw(VALUE num, VALUE den);

/**
 * Shorthand  of  `(x/1)r`.  As  `x`  is  already  an Integer,  it  practically
 * converts it into a Rational of the identical value.
 *
 * @param[in]  x  An instance of ::rb_cInteger.
 * @return     An instance of ::rb_cRational, whose value is `(x/1)r`.
 */
#define rb_rational_raw1(x) rb_rational_raw((x), INT2FIX(1))

/** @alias{rb_rational_raw} */
#define rb_rational_raw2(x,y) rb_rational_raw((x), (y))

/**
 * Constructs a Rational,  with reduction.  This returns  for instance `(2/3)r`
 * for `rb_rational_new(INT2NUM(-384), INT2NUM(-576))`.
 *
 * @param[in]  num               Numerator, an instance of ::rb_cInteger.
 * @param[in]  den               Denominator, an instance of ::rb_cInteger.
 * @exception  rb_eZeroDivError  `den` is zero.
 * @return     An instance of ::rb_cRational whose value is `(num/den)r`.
 */
VALUE rb_rational_new(VALUE num, VALUE den);

/**
 * Shorthand  of  `(x/1)r`.  As  `x`  is  already  an Integer,  it  practically
 * converts it into a Rational of the identical value.
 *
 * @param[in]  x  An instance of ::rb_cInteger.
 * @return     An instance of ::rb_cRational, whose value is `(x/1)r`.
 */
#define rb_rational_new1(x) rb_rational_new((x), INT2FIX(1))

/** @alias{rb_rational_new} */
#define rb_rational_new2(x,y) rb_rational_new((x), (y))

/**
 * Converts various values into a Rational.  This function accepts:
 *
 * - Instances of ::rb_cInteger (taken as-is),
 * - Instances of ::rb_cRational (taken as-is),
 * - Instances of ::rb_cFloat (applies `#to_r`),
 * - Instances of ::rb_cComplex (applies `#to_r`),
 * - Instances of ::rb_cString (applies `#to_r`),
 * - Other objects that respond to `#to_r`.
 *
 * It (possibly  recursively) applies  `#to_r` until  both sides  become either
 * Integer or Rational, then divides them.
 *
 * As a  special case, passing  ::RUBY_Qundef to `den`  is the same  as passing
 * `RB_INT2NUM(1)`.
 *
 * @param[in]  num                   Numerator (see above).
 * @param[in]  den                   Denominator (see above).
 * @exception  rb_eTypeError         Passed something not described above.
 * @exception  rb_eFloatDomainError  `#to_r` produced Nan/Inf.
 * @exception  rb_eZeroDivError      `#to_r` produced zero for `den`.
 * @return     An instance of ::rb_cRational whose value is `(num/den)r`.
 *
 * @internal
 *
 * This was the implementation of `Kernel#Rational` before, but they diverged.
 */
VALUE rb_Rational(VALUE num, VALUE den);

/**
 * Shorthand of  `(x/1)r`.  It practically converts  it into a Rational  of the
 * identical value.
 *
 * @param[in]  x  ::rb_cInteger, ::rb_cRational, or  something that responds to
 *                `#to_r`.
 * @return     An instance of ::rb_cRational, whose value is `(x/1)r`.
 */
#define rb_Rational1(x) rb_Rational((x), INT2FIX(1))

/** @alias{rb_Rational} */
#define rb_Rational2(x,y) rb_Rational((x), (y))

RBIMPL_ATTR_PURE()
/**
 * Queries the numerator of the passed Rational.
 *
 * @param[in]  rat  An instance of ::rb_cRational.
 * @return     Its numerator part, which is an instance of ::rb_cInteger.
 */
VALUE rb_rational_num(VALUE rat);

RBIMPL_ATTR_PURE()
/**
 * Queries the denominator of the passed Rational.
 *
 * @param[in]  rat  An instance of ::rb_cRational.
 * @return     Its  denominator part,  which  is an  instance of  ::rb_cInteger
 *             greater than or equal to one..
 */
VALUE rb_rational_den(VALUE rat);

/**
 * Simplified  approximation of  a float.   It returns  a rational  `rat` which
 * satisfies:
 *
 * ```
 * flt - |prec| <= rat <= flt + |prec|
 * ```
 *
 * ```ruby
 * 3.141592.rationalize(0.001) # => (201/64)r
 * 3.141592.rationalize(0.01)' # => (22/7)r
 * 3.141592.rationalize(0.1)'  # => (16/5)r
 * 3.141592.rationalize(1)'    # => (3/1)r
 * ```
 *
 * @param[in]  flt   An instance of ::rb_cFloat to rationalise.
 * @param[in]  prec  Another ::rb_cFloat, which is the "precision".
 * @return     Approximation of `flt`, in ::rb_cRational.
 */
VALUE rb_flt_rationalize_with_prec(VALUE flt, VALUE prec);

/**
 * Identical   to   rb_flt_rationalize_with_prec(),  except   it   auto-detects
 * appropriate precision depending on the passed value.
 *
 * @param[in]  flt   An instance of ::rb_cFloat to rationalise.
 * @return     Approximation of `flt`, in ::rb_cRational.
 */
VALUE rb_flt_rationalize(VALUE flt);

RBIMPL_SYMBOL_EXPORT_END()

#endif /* RBIMPL_INTERN_RATIONAL_H */
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