real Namespace Reference

Namespaces
namespace	details

Classes
struct	type

Functions
type	operator+ (const type r0, const type r1)
type	operator- (const type r0, const type r1)
type	operator* (const type r0, const type r1)
type	operator/ (const type r0, const type r1)
bool	operator< (const type r0, const type r1)
bool	operator> (const type r0, const type r1)
bool	operator<= (const type r0, const type r1)
bool	operator>= (const type r0, const type r1)
type	operator+ (const double r0, const type r1)
type	operator- (const double r0, const type r1)
type	operator* (const double r0, const type r1)
type	operator/ (const double r0, const type r1)
bool	operator< (const double r0, const type r1)
bool	operator> (const double r0, const type r1)
bool	operator<= (const double r0, const type r1)
bool	operator>= (const double r0, const type r1)
bool	operator== (const double r0, const type r1)
bool	operator!= (const double r0, const type r1)
type	operator+ (const type r0, const double r1)
type	operator- (const type r0, const double r1)
type	operator* (const type r0, const double r1)
type	operator/ (const type r0, const double r1)
bool	operator< (const type r0, const double r1)
bool	operator> (const type r0, const double r1)
bool	operator<= (const type r0, const double r1)
bool	operator>= (const type r0, const double r1)
bool	operator== (const type r0, const double r1)
bool	operator!= (const type r0, const double r1)
type	operator+ (const float r0, const type r1)
type	operator- (const float r0, const type r1)
type	operator* (const float r0, const type r1)
type	operator/ (const float r0, const type r1)
bool	operator< (const float r0, const type r1)
bool	operator> (const float r0, const type r1)
bool	operator<= (const float r0, const type r1)
bool	operator>= (const float r0, const type r1)
bool	operator== (const float r0, const type r1)
bool	operator!= (const float r0, const type r1)
type	operator+ (const type r0, const float r1)
type	operator- (const type r0, const float r1)
type	operator* (const type r0, const float r1)
type	operator/ (const type r0, const float r1)
bool	operator< (const type r0, const float r1)
bool	operator> (const type r0, const float r1)
bool	operator<= (const type r0, const float r1)
bool	operator>= (const type r0, const float r1)
bool	operator== (const type r0, const float r1)
bool	operator!= (const type r0, const float r1)
type	operator+ (const int r0, const type r1)
type	operator- (const int r0, const type r1)
type	operator* (const int r0, const type r1)
type	operator/ (const int r0, const type r1)
bool	operator< (const int r0, const type r1)
bool	operator> (const int r0, const type r1)
bool	operator<= (const int r0, const type r1)
bool	operator>= (const int r0, const type r1)
bool	operator== (const int r0, const type r1)
bool	operator!= (const int r0, const type r1)
type	operator+ (const type r0, const int r1)
type	operator- (const type r0, const int r1)
type	operator* (const type r0, const int r1)
type	operator/ (const type r0, const int r1)
bool	operator< (const type r0, const int r1)
bool	operator> (const type r0, const int r1)
bool	operator<= (const type r0, const int r1)
bool	operator>= (const type r0, const int r1)
bool	operator== (const type r0, const int r1)
bool	operator!= (const type r0, const int r1)
type	operator+ (const long long r0, const type r1)
type	operator- (const long long r0, const type r1)
type	operator* (const long long r0, const type r1)
type	operator/ (const long long r0, const type r1)
bool	operator< (const long long r0, const type r1)
bool	operator> (const long long r0, const type r1)
bool	operator<= (const long long r0, const type r1)
bool	operator>= (const long long r0, const type r1)
bool	operator== (const long long r0, const type r1)
bool	operator!= (const long long r0, const type r1)
type	operator+ (const type r0, const long long r1)
type	operator- (const type r0, const long long r1)
type	operator* (const type r0, const long long r1)
type	operator/ (const type r0, const long long r1)
bool	operator< (const type r0, const long long r1)
bool	operator> (const type r0, const long long r1)
bool	operator<= (const type r0, const long long r1)
bool	operator>= (const type r0, const long long r1)
bool	operator== (const type r0, const long long r1)
bool	operator!= (const type r0, const long long r1)
type	operator+ (const unsigned int r0, const type r1)
type	operator- (const unsigned int r0, const type r1)
type	operator* (const unsigned int r0, const type r1)
type	operator/ (const unsigned int r0, const type r1)
bool	operator< (const unsigned int r0, const type r1)
bool	operator> (const unsigned int r0, const type r1)
bool	operator<= (const unsigned int r0, const type r1)
bool	operator>= (const unsigned int r0, const type r1)
bool	operator== (const unsigned int r0, const type r1)
bool	operator!= (const unsigned int r0, const type r1)
type	operator+ (const type r0, const unsigned int r1)
type	operator- (const type r0, const unsigned int r1)
type	operator* (const type r0, const unsigned int r1)
type	operator/ (const type r0, const unsigned int r1)
bool	operator< (const type r0, const unsigned int r1)
bool	operator> (const type r0, const unsigned int r1)
bool	operator<= (const type r0, const unsigned int r1)
bool	operator>= (const type r0, const unsigned int r1)
bool	operator== (const type r0, const unsigned int r1)
bool	operator!= (const type r0, const unsigned int r1)
type	operator+ (const unsigned long long r0, const type r1)
type	operator- (const unsigned long long r0, const type r1)
type	operator* (const unsigned long long r0, const type r1)
type	operator/ (const unsigned long long r0, const type r1)
bool	operator< (const unsigned long long r0, const type r1)
bool	operator> (const unsigned long long r0, const type r1)
bool	operator<= (const unsigned long long r0, const type r1)
bool	operator>= (const unsigned long long r0, const type r1)
bool	operator== (const unsigned long long r0, const type r1)
bool	operator!= (const unsigned long long r0, const type r1)
type	operator+ (const type r0, const unsigned long long r1)
type	operator- (const type r0, const unsigned long long r1)
type	operator* (const type r0, const unsigned long long r1)
type	operator/ (const type r0, const unsigned long long r1)
bool	operator< (const type r0, const unsigned long long r1)
bool	operator> (const type r0, const unsigned long long r1)
bool	operator<= (const type r0, const unsigned long long r1)
bool	operator>= (const type r0, const unsigned long long r1)
bool	operator== (const type r0, const unsigned long long r1)
bool	operator!= (const type r0, const unsigned long long r1)
type	operator+ (const unsigned long int r0, const type r1)
type	operator- (const unsigned long int r0, const type r1)
type	operator* (const unsigned long int r0, const type r1)
type	operator/ (const unsigned long int r0, const type r1)
bool	operator< (const unsigned long int r0, const type r1)
bool	operator> (const unsigned long int r0, const type r1)
bool	operator<= (const unsigned long int r0, const type r1)
bool	operator>= (const unsigned long int r0, const type r1)
bool	operator== (const unsigned long int r0, const type r1)
bool	operator!= (const unsigned long int r0, const type r1)
type	operator+ (const type r0, const unsigned long int r1)
type	operator- (const type r0, const unsigned long int r1)
type	operator* (const type r0, const unsigned long int r1)
type	operator/ (const type r0, const unsigned long int r1)
bool	operator< (const type r0, const unsigned long int r1)
bool	operator> (const type r0, const unsigned long int r1)
bool	operator<= (const type r0, const unsigned long int r1)
bool	operator>= (const type r0, const unsigned long int r1)
bool	operator== (const type r0, const unsigned long int r1)
bool	operator!= (const type r0, const unsigned long int r1)
type	abs (const type v)
type	acos (const type v)
type	acosh (const type v)
type	asin (const type v)
type	asinh (const type v)
type	atan (const type v)
type	atanh (const type v)
type	ceil (const type v)
type	cos (const type v)
type	cosh (const type v)
type	exp (const type v)
type	floor (const type v)
type	log (const type v)
type	log10 (const type v)
type	log2 (const type v)
type	neg (const type v)
type	pos (const type v)
type	sin (const type v)
type	sinh (const type v)
type	sqrt (const type v)
type	tan (const type v)
type	tanh (const type v)
type	cot (const type v)
type	sec (const type v)
type	csc (const type v)
type	r2d (const type v)
type	d2r (const type v)
type	d2g (const type v)
type	g2d (const type v)
type	notl (const type v)
type	frac (const type v)
type	trunc (const type v)
type	modulus (const type v0, const type v1)
type	pow (const type v0, const type v1)
type	logn (const type v0, const type v1)
type	root (const type v0, const type v1)
type	atan2 (const type v0, const type v1)
type	max (const type v0, const type v1)
type	min (const type v0, const type v1)
bool	is_true (const type v)
bool	is_false (const type v)
type	equal (const type v0x, const type v1x)
type	expm1 (const type vx)
type	nequal (const type v0, const type v1)
type	log1p (const type v)
type	round (const type v)
type	roundn (const type v0, const type v1)
type	hypot (const type v0, const type v1)
type	shr (const type v0, const type v1)
type	shl (const type v0, const type v1)
type	sgn (const type v)
type	nand (const type v0, const type &v1)
type	nor (const type v0, const type &v1)
type	xnor (const type v0, const type &v1)
type	erf (type v)
type	erfc (type v)

Function Documentation

abs()

type real::abs ( const type  v )

inline

Definition at line 187 of file real_type.hpp.

{ return std::abs  (v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::abs_impl(), equal(), erf(), expm1(), log1p(), nequal(), and not_equal_impl().

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acos()

type real::acos ( const type  v )

inline

Definition at line 188 of file real_type.hpp.

{ return std::acos (v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::acos_impl().

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acosh()

type real::acosh ( const type  v )

inline

Definition at line 189 of file real_type.hpp.

{ return std::acosh(v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::acosh_impl().

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asin()

type real::asin ( const type  v )

inline

Definition at line 190 of file real_type.hpp.

{ return std::asin (v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::asin_impl().

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asinh()

type real::asinh ( const type  v )

inline

Definition at line 191 of file real_type.hpp.

{ return std::asinh(v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::asinh_impl().

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atan()

type real::atan ( const type  v )

inline

Definition at line 192 of file real_type.hpp.

{ return std::atan (v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::atan_impl().

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atan2()

type real::atan2 ( const type  v0, const type  v1  )

inline

Definition at line 224 of file real_type.hpp.

{ return std::atan2(v0.d_,v1.d_);           }

References real::type::d_.

atanh()

type real::atanh ( const type  v )

inline

Definition at line 193 of file real_type.hpp.

{ return std::atanh(v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::atanh_impl().

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ceil()

type real::ceil ( const type  v )

inline

Definition at line 194 of file real_type.hpp.

{ return std::ceil (v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::ceil_impl(), round(), and roundn().

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cos()

type real::cos ( const type  v )

inline

Definition at line 195 of file real_type.hpp.

{ return std::cos  (v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::cos_impl(), cosine_deg< T >::operator()(), run_test04(), run_test05(), and run_test07().

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cosh()

type real::cosh ( const type  v )

inline

Definition at line 196 of file real_type.hpp.

{ return std::cosh (v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::cosh_impl().

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cot()

type real::cot ( const type  v )

inline

Definition at line 209 of file real_type.hpp.

{ return type(1) / std::tan(v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::cot_impl().

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csc()

type real::csc ( const type  v )

inline

Definition at line 211 of file real_type.hpp.

{ return type(1) / std::sin(v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::csc_impl().

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d2g()

type real::d2g ( const type  v )

inline

Definition at line 214 of file real_type.hpp.

{ return (v.d_ * type(10.0/9.0)); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::d2g_impl().

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d2r()

type real::d2r ( const type  v )

inline

Definition at line 213 of file real_type.hpp.

{ return (v.d_ * type(real::details::constant::pi_180));  }

References real::type::d_, and real::details::constant::pi_180.

Referenced by exprtk::details::numeric::details::d2r_impl().

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equal()

type real::equal ( const type  v0x, const type  v1x  )

inline

Definition at line 231 of file real_type.hpp.

   {
      const type v0 = v0x.d_;
      const type v1 = v1x.d_;
      static const type epsilon = type(0.0000000001);
      return (abs(v0 - v1) <= (max(type(1),max(abs(v0),abs(v1))) * epsilon)) ? type(1) : type(0);
   }

References abs(), real::type::d_, and max().

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erf()

type real::erf ( type  v )

inline

Definition at line 325 of file real_type.hpp.

   {
      #if defined(_MSC_VER) && (_MSC_VER < 1900)
      const type t = type(1) / (type(1) + type(0.5) * abs(v));
 
      static const type c[] = {
                                type( 1.26551223), type(1.00002368),
                                type( 0.37409196), type(0.09678418),
                                type(-0.18628806), type(0.27886807),
                                type(-1.13520398), type(1.48851587),
                                type(-0.82215223), type(0.17087277)
                              };
 
      type result = type(1) - t * exp((-v * v) -
                             c[0] + t * (c[1] + t *
                            (c[2] + t * (c[3] + t *
                            (c[4] + t * (c[5] + t *
                            (c[6] + t * (c[7] + t *
                            (c[8] + t * (c[9]))))))))));
 
      return (v >= type(0)) ? result : -result;
      #else
      return ::erf(static_cast<double>(v));
      #endif
   }

References abs(), and exp().

Referenced by exprtk::details::numeric::details::erf_impl(), and erfc().

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erfc()

type real::erfc ( type  v )

inline

Definition at line 351 of file real_type.hpp.

   {
      return type(1) - erf(v);
   }

References erf().

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exp()

type real::exp ( const type  v )

inline

Definition at line 197 of file real_type.hpp.

{ return std::exp  (v.d_); }

References real::type::d_.

Referenced by erf(), exprtk::details::numeric::details::exp_impl(), and expm1().

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expm1()

type real::expm1 ( const type  vx )

inline

Definition at line 239 of file real_type.hpp.

   {
      const type v = vx.d_;
      if (abs(v) < type(0.00001))
         return type(v + (0.5 * v * v));
      else
         return type(exp(v) - type(1));
   }

References abs(), real::type::d_, and exp().

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floor()

type real::floor ( const type  v )

inline

Definition at line 198 of file real_type.hpp.

{ return std::floor(v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::floor_impl(), round(), and roundn().

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frac()

type real::frac ( const type  v )

inline

Definition at line 217 of file real_type.hpp.

{ return (v.d_ - static_cast<long long>(v.d_)); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::frac_impl().

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g2d()

type real::g2d ( const type  v )

inline

Definition at line 215 of file real_type.hpp.

{ return (v.d_ * type(9.0/10.0)); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::g2d_impl().

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hypot()

type real::hypot ( const type  v0, const type  v1  )

inline

Definition at line 283 of file real_type.hpp.

   {
      return sqrt((v0 * v0) + (v1 * v1));
   }

References sqrt().

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is_false()

bool real::is_false ( const type  v )

inline

Definition at line 229 of file real_type.hpp.

{ return (v == type(0)); }

Referenced by exprtk::details::is_false(), nand(), and nor().

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is_true()

bool real::is_true ( const type  v )

inline

Definition at line 228 of file real_type.hpp.

{ return (v != type(0)); }

Referenced by exprtk::details::is_true().

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log()

type real::log ( const type  v )

inline

Definition at line 199 of file real_type.hpp.

{ return std::log  (v.d_); }

References real::type::d_.

Referenced by log1p(), and exprtk::details::numeric::details::log_impl().

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log10()

type real::log10 ( const type  v )

inline

Definition at line 200 of file real_type.hpp.

{ return std::log10(v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::log10_impl().

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log1p()

type real::log1p ( const type  v )

inline

Definition at line 254 of file real_type.hpp.

   {
      if (v > type(-1))
      {
         if (abs(v) > type(0.0001))
         {
            return log(type(1) + v);
         }
         else
            return (type(-0.5) * v + type(1)) * v;
      }
      else
         return type(std::numeric_limits<double>::quiet_NaN());
   }

References abs(), and log().

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log2()

type real::log2 ( const type  v )

inline

Definition at line 201 of file real_type.hpp.

{ return std::log(v.d_) / type(real::details::constant::log2); }

References real::type::d_, and real::details::constant::log2.

Referenced by exprtk::details::numeric::details::log2_impl().

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logn()

type real::logn ( const type  v0, const type  v1  )

inline

Definition at line 222 of file real_type.hpp.

{ return std::log(v0.d_) / std::log(v1.d_); }

References real::type::d_.

max()

type real::max ( const type  v0, const type  v1  )

inline

Definition at line 225 of file real_type.hpp.

{ return std::max(v0.d_,v1.d_);             }

References real::type::d_.

Referenced by equal(), nequal(), and not_equal_impl().

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min()

type real::min ( const type  v0, const type  v1  )

inline

Definition at line 226 of file real_type.hpp.

{ return std::min(v0.d_,v1.d_);             }

References real::type::d_.

modulus()

type real::modulus ( const type  v0, const type  v1  )

inline

Definition at line 220 of file real_type.hpp.

{ return std::fmod(v0.d_,v1.d_);            }

References real::type::d_.

nand()

type real::nand ( const type  v0, const type &  v1  )

inline

Definition at line 305 of file real_type.hpp.

   {
      return (is_false(v0) || is_false(v1)) ? type(1) : type(0);
   }

References is_false().

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neg()

type real::neg ( const type  v )

inline

Definition at line 202 of file real_type.hpp.

{ return type(-1.0) * v;   }

nequal()

type real::nequal ( const type  v0, const type  v1  )

inline

Definition at line 248 of file real_type.hpp.

   {
      static const type epsilon = type(0.0000000001);
      return (abs(v0 - v1) > (max(type(1),max(abs(v0),abs(v1))) * epsilon)) ? type(1) : type(0);
   }

References abs(), and max().

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nor()

type real::nor ( const type  v0, const type &  v1  )

inline

Definition at line 310 of file real_type.hpp.

   {
      return (is_false(v0) && is_false(v1)) ? type(1) : type(0);
   }

References is_false().

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notl()

type real::notl ( const type  v )

inline

Definition at line 216 of file real_type.hpp.

{ return (v    != type(0) ? type(0) : type(1)); }

Referenced by exprtk::details::numeric::details::notl_impl().

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operator!=() [1/14]

bool real::operator!= ( const double  r0, const type  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator!=() [2/14]

bool real::operator!= ( const float  r0, const type  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator!=() [3/14]

bool real::operator!= ( const int  r0, const type  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator!=() [4/14]

bool real::operator!= ( const long long  r0, const type  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator!=() [5/14]

bool real::operator!= ( const type  r0, const double  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator!=() [6/14]

bool real::operator!= ( const type  r0, const float  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator!=() [7/14]

bool real::operator!= ( const type  r0, const int  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator!=() [8/14]

bool real::operator!= ( const type  r0, const long long  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator!=() [9/14]

bool real::operator!= ( const type  r0, const unsigned int  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator!=() [10/14]

bool real::operator!= ( const type  r0, const unsigned long int  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator!=() [11/14]

bool real::operator!= ( const type  r0, const unsigned long long  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator!=() [12/14]

bool real::operator!= ( const unsigned int  r0, const type  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator!=() [13/14]

bool real::operator!= ( const unsigned long int  r0, const type  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator!=() [14/14]

bool real::operator!= ( const unsigned long long  r0, const type  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator*() [1/15]

type real::operator* ( const double  r0, const type  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator*() [2/15]

type real::operator* ( const float  r0, const type  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator*() [3/15]

type real::operator* ( const int  r0, const type  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator*() [4/15]

type real::operator* ( const long long  r0, const type  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator*() [5/15]

type real::operator* ( const type  r0, const double  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator*() [6/15]

type real::operator* ( const type  r0, const float  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator*() [7/15]

type real::operator* ( const type  r0, const int  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator*() [8/15]

type real::operator* ( const type  r0, const long long  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator*() [9/15]

type real::operator* ( const type  r0, const type  r1  )

inline

Definition at line 87 of file real_type.hpp.

{ return type(r0.d_ * r1.d_); }

References real::type::d_.

operator*() [10/15]

type real::operator* ( const type  r0, const unsigned int  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator*() [11/15]

type real::operator* ( const type  r0, const unsigned long int  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator*() [12/15]

type real::operator* ( const type  r0, const unsigned long long  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator*() [13/15]

type real::operator* ( const unsigned int  r0, const type  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator*() [14/15]

type real::operator* ( const unsigned long int  r0, const type  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator*() [15/15]

type real::operator* ( const unsigned long long  r0, const type  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator+() [1/15]

type real::operator+ ( const double  r0, const type  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator+() [2/15]

type real::operator+ ( const float  r0, const type  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator+() [3/15]

type real::operator+ ( const int  r0, const type  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator+() [4/15]

type real::operator+ ( const long long  r0, const type  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator+() [5/15]

type real::operator+ ( const type  r0, const double  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator+() [6/15]

type real::operator+ ( const type  r0, const float  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator+() [7/15]

type real::operator+ ( const type  r0, const int  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator+() [8/15]

type real::operator+ ( const type  r0, const long long  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator+() [9/15]

type real::operator+ ( const type  r0, const type  r1  )

inline

Definition at line 85 of file real_type.hpp.

{ return type(r0.d_ + r1.d_); }

References real::type::d_.

operator+() [10/15]

type real::operator+ ( const type  r0, const unsigned int  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator+() [11/15]

type real::operator+ ( const type  r0, const unsigned long int  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator+() [12/15]

type real::operator+ ( const type  r0, const unsigned long long  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator+() [13/15]

type real::operator+ ( const unsigned int  r0, const type  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator+() [14/15]

type real::operator+ ( const unsigned long int  r0, const type  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator+() [15/15]

type real::operator+ ( const unsigned long long  r0, const type  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator-() [1/15]

type real::operator- ( const double  r0, const type  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator-() [2/15]

type real::operator- ( const float  r0, const type  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator-() [3/15]

type real::operator- ( const int  r0, const type  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator-() [4/15]

type real::operator- ( const long long  r0, const type  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator-() [5/15]

type real::operator- ( const type  r0, const double  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator-() [6/15]

type real::operator- ( const type  r0, const float  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator-() [7/15]

type real::operator- ( const type  r0, const int  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator-() [8/15]

type real::operator- ( const type  r0, const long long  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator-() [9/15]

type real::operator- ( const type  r0, const type  r1  )

inline

Definition at line 86 of file real_type.hpp.

{ return type(r0.d_ - r1.d_); }

References real::type::d_.

operator-() [10/15]

type real::operator- ( const type  r0, const unsigned int  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator-() [11/15]

type real::operator- ( const type  r0, const unsigned long int  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator-() [12/15]

type real::operator- ( const type  r0, const unsigned long long  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator-() [13/15]

type real::operator- ( const unsigned int  r0, const type  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator-() [14/15]

type real::operator- ( const unsigned long int  r0, const type  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator-() [15/15]

type real::operator- ( const unsigned long long  r0, const type  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator/() [1/15]

type real::operator/ ( const double  r0, const type  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator/() [2/15]

type real::operator/ ( const float  r0, const type  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator/() [3/15]

type real::operator/ ( const int  r0, const type  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator/() [4/15]

type real::operator/ ( const long long  r0, const type  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator/() [5/15]

type real::operator/ ( const type  r0, const double  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator/() [6/15]

type real::operator/ ( const type  r0, const float  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator/() [7/15]

type real::operator/ ( const type  r0, const int  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator/() [8/15]

type real::operator/ ( const type  r0, const long long  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator/() [9/15]

type real::operator/ ( const type  r0, const type  r1  )

inline

Definition at line 88 of file real_type.hpp.

{ return type(r0.d_ / r1.d_); }

References real::type::d_.

operator/() [10/15]

type real::operator/ ( const type  r0, const unsigned int  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator/() [11/15]

type real::operator/ ( const type  r0, const unsigned long int  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator/() [12/15]

type real::operator/ ( const type  r0, const unsigned long long  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator/() [13/15]

type real::operator/ ( const unsigned int  r0, const type  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator/() [14/15]

type real::operator/ ( const unsigned long int  r0, const type  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator/() [15/15]

type real::operator/ ( const unsigned long long  r0, const type  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator<() [1/15]

bool real::operator< ( const double  r0, const type  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator<() [2/15]

bool real::operator< ( const float  r0, const type  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator<() [3/15]

bool real::operator< ( const int  r0, const type  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator<() [4/15]

bool real::operator< ( const long long  r0, const type  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator<() [5/15]

bool real::operator< ( const type  r0, const double  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator<() [6/15]

bool real::operator< ( const type  r0, const float  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator<() [7/15]

bool real::operator< ( const type  r0, const int  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator<() [8/15]

bool real::operator< ( const type  r0, const long long  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator<() [9/15]

bool real::operator< ( const type  r0, const type  r1  )

inline

Definition at line 90 of file real_type.hpp.

{ return (r0.d_ <  r1.d_); }

References real::type::d_.

operator<() [10/15]

bool real::operator< ( const type  r0, const unsigned int  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator<() [11/15]

bool real::operator< ( const type  r0, const unsigned long int  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator<() [12/15]

bool real::operator< ( const type  r0, const unsigned long long  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator<() [13/15]

bool real::operator< ( const unsigned int  r0, const type  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator<() [14/15]

bool real::operator< ( const unsigned long int  r0, const type  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator<() [15/15]

bool real::operator< ( const unsigned long long  r0, const type  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator<=() [1/15]

bool real::operator<= ( const double  r0, const type  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator<=() [2/15]

bool real::operator<= ( const float  r0, const type  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator<=() [3/15]

bool real::operator<= ( const int  r0, const type  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator<=() [4/15]

bool real::operator<= ( const long long  r0, const type  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator<=() [5/15]

bool real::operator<= ( const type  r0, const double  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator<=() [6/15]

bool real::operator<= ( const type  r0, const float  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator<=() [7/15]

bool real::operator<= ( const type  r0, const int  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator<=() [8/15]

bool real::operator<= ( const type  r0, const long long  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator<=() [9/15]

bool real::operator<= ( const type  r0, const type  r1  )

inline

Definition at line 92 of file real_type.hpp.

{ return (r0.d_ <= r1.d_); }

References real::type::d_.

operator<=() [10/15]

bool real::operator<= ( const type  r0, const unsigned int  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator<=() [11/15]

bool real::operator<= ( const type  r0, const unsigned long int  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator<=() [12/15]

bool real::operator<= ( const type  r0, const unsigned long long  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator<=() [13/15]

bool real::operator<= ( const unsigned int  r0, const type  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator<=() [14/15]

bool real::operator<= ( const unsigned long int  r0, const type  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator<=() [15/15]

bool real::operator<= ( const unsigned long long  r0, const type  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator==() [1/14]

bool real::operator== ( const double  r0, const type  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator==() [2/14]

bool real::operator== ( const float  r0, const type  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator==() [3/14]

bool real::operator== ( const int  r0, const type  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator==() [4/14]

bool real::operator== ( const long long  r0, const type  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator==() [5/14]

bool real::operator== ( const type  r0, const double  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator==() [6/14]

bool real::operator== ( const type  r0, const float  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator==() [7/14]

bool real::operator== ( const type  r0, const int  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator==() [8/14]

bool real::operator== ( const type  r0, const long long  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator==() [9/14]

bool real::operator== ( const type  r0, const unsigned int  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator==() [10/14]

bool real::operator== ( const type  r0, const unsigned long int  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator==() [11/14]

bool real::operator== ( const type  r0, const unsigned long long  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator==() [12/14]

bool real::operator== ( const unsigned int  r0, const type  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator==() [13/14]

bool real::operator== ( const unsigned long int  r0, const type  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator==() [14/14]

bool real::operator== ( const unsigned long long  r0, const type  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator>() [1/15]

bool real::operator> ( const double  r0, const type  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator>() [2/15]

bool real::operator> ( const float  r0, const type  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator>() [3/15]

bool real::operator> ( const int  r0, const type  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator>() [4/15]

bool real::operator> ( const long long  r0, const type  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator>() [5/15]

bool real::operator> ( const type  r0, const double  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator>() [6/15]

bool real::operator> ( const type  r0, const float  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator>() [7/15]

bool real::operator> ( const type  r0, const int  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator>() [8/15]

bool real::operator> ( const type  r0, const long long  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator>() [9/15]

bool real::operator> ( const type  r0, const type  r1  )

inline

Definition at line 91 of file real_type.hpp.

{ return (r0.d_ >  r1.d_); }

References real::type::d_.

operator>() [10/15]

bool real::operator> ( const type  r0, const unsigned int  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator>() [11/15]

bool real::operator> ( const type  r0, const unsigned long int  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator>() [12/15]

bool real::operator> ( const type  r0, const unsigned long long  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator>() [13/15]

bool real::operator> ( const unsigned int  r0, const type  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator>() [14/15]

bool real::operator> ( const unsigned long int  r0, const type  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator>() [15/15]

bool real::operator> ( const unsigned long long  r0, const type  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator>=() [1/15]

bool real::operator>= ( const double  r0, const type  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator>=() [2/15]

bool real::operator>= ( const float  r0, const type  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator>=() [3/15]

bool real::operator>= ( const int  r0, const type  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator>=() [4/15]

bool real::operator>= ( const long long  r0, const type  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator>=() [5/15]

bool real::operator>= ( const type  r0, const double  r1  )

inline

Definition at line 117 of file real_type.hpp.

operator>=() [6/15]

bool real::operator>= ( const type  r0, const float  r1  )

inline

Definition at line 118 of file real_type.hpp.

operator>=() [7/15]

bool real::operator>= ( const type  r0, const int  r1  )

inline

Definition at line 119 of file real_type.hpp.

operator>=() [8/15]

bool real::operator>= ( const type  r0, const long long  r1  )

inline

Definition at line 120 of file real_type.hpp.

operator>=() [9/15]

bool real::operator>= ( const type  r0, const type  r1  )

inline

Definition at line 93 of file real_type.hpp.

{ return (r0.d_ >= r1.d_); }

References real::type::d_.

operator>=() [10/15]

bool real::operator>= ( const type  r0, const unsigned int  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator>=() [11/15]

bool real::operator>= ( const type  r0, const unsigned long int  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator>=() [12/15]

bool real::operator>= ( const type  r0, const unsigned long long  r1  )

inline

Definition at line 122 of file real_type.hpp.

operator>=() [13/15]

bool real::operator>= ( const unsigned int  r0, const type  r1  )

inline

Definition at line 121 of file real_type.hpp.

operator>=() [14/15]

bool real::operator>= ( const unsigned long int  r0, const type  r1  )

inline

Definition at line 123 of file real_type.hpp.

operator>=() [15/15]

bool real::operator>= ( const unsigned long long  r0, const type  r1  )

inline

Definition at line 122 of file real_type.hpp.

pos()

type real::pos ( const type  v )

inline

Definition at line 203 of file real_type.hpp.

{ return v;                }

pow()

type real::pow ( const type  v0, const type  v1  )

inline

Definition at line 221 of file real_type.hpp.

{ return std::pow(v0.d_,v1.d_);             }

References real::type::d_.

Referenced by exprtk::details::numeric::details::pow_impl(), root(), roundn(), shl(), and shr().

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r2d()

type real::r2d ( const type  v )

inline

Definition at line 212 of file real_type.hpp.

{ return (v.d_ * type(real::details::constant::_180_pi)); }

References real::details::constant::_180_pi, and real::type::d_.

Referenced by exprtk::details::numeric::details::r2d_impl().

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root()

type real::root ( const type  v0, const type  v1  )

inline

Definition at line 223 of file real_type.hpp.

{ return pow(v0,type(1.0) / v1);            }

References pow().

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round()

type real::round ( const type  v )

inline

Definition at line 269 of file real_type.hpp.

   {
      return ((v < type(0)) ? ceil(v - type(0.5)) : floor(v + type(0.5)));
   }

References ceil(), and floor().

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roundn()

type real::roundn ( const type  v0, const type  v1  )

inline

Definition at line 274 of file real_type.hpp.

   {
      const type p10 = pow(type(10),trunc(v1));
      if (v0 < type(0))
         return type(ceil ((v0 * p10) - type(0.5)) / p10);
      else
         return type(floor((v0 * p10) + type(0.5)) / p10);
   }

References ceil(), floor(), pow(), and trunc().

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sec()

type real::sec ( const type  v )

inline

Definition at line 210 of file real_type.hpp.

{ return type(1) / std::cos(v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::sec_impl().

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sgn()

type real::sgn ( const type  v )

inline

Definition at line 298 of file real_type.hpp.

   {
           if (v > type(0)) return type(+1);
      else if (v < type(0)) return type(-1);
      else               return type( 0);
   }

shl()

type real::shl ( const type  v0, const type  v1  )

inline

Definition at line 293 of file real_type.hpp.

   {
      return v0 * pow(type(2),trunc(v1));
   }

References pow(), and trunc().

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shr()

type real::shr ( const type  v0, const type  v1  )

inline

Definition at line 288 of file real_type.hpp.

   {
      return v0 * (type(1) / pow(type(2),trunc(v1)));
   }

References pow(), and trunc().

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sin()

type real::sin ( const type  v )

inline

Definition at line 204 of file real_type.hpp.

{ return std::sin  (v.d_); }

References real::type::d_.

Referenced by sine_deg< T >::operator()(), run_test04(), run_test05(), run_test07(), and exprtk::details::numeric::details::sin_impl().

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sinh()

type real::sinh ( const type  v )

inline

Definition at line 205 of file real_type.hpp.

{ return std::sinh (v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::sinh_impl().

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sqrt()

type real::sqrt ( const type  v )

inline

Definition at line 206 of file real_type.hpp.

{ return std::sqrt (v.d_); }

References real::type::d_.

Referenced by hypot(), run_test19(), and exprtk::details::numeric::details::sqrt_impl().

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tan()

type real::tan ( const type  v )

inline

Definition at line 207 of file real_type.hpp.

{ return std::tan  (v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::tan_impl().

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tanh()

type real::tanh ( const type  v )

inline

Definition at line 208 of file real_type.hpp.

{ return std::tanh (v.d_); }

References real::type::d_.

Referenced by exprtk::details::numeric::details::tanh_impl().

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trunc()

type real::trunc ( const type  v )

inline

Definition at line 218 of file real_type.hpp.

{ return type(static_cast<double>(static_cast<long long>(v.d_))); }

References real::type::d_.

Referenced by roundn(), shl(), shr(), and exprtk::details::numeric::details::trunc_impl().

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xnor()

type real::xnor ( const type  v0, const type &  v1  )

inline

Definition at line 315 of file real_type.hpp.

   {
      const bool v0_true = is_true(v0);
      const bool v1_true = is_true(v1);
      if ((v0_true &&  v1_true) || (!v0_true && !v1_true))
         return type(1);
      else
         return type(0);
   }