cmplx Namespace Reference

Namespaces
namespace	details

Classes
struct	complex_t

Functions
complex_t	operator+ (const complex_t r0, const complex_t r1)
complex_t	operator- (const complex_t r0, const complex_t r1)
complex_t	operator* (const complex_t r0, const complex_t r1)
complex_t	operator/ (const complex_t r0, const complex_t r1)
bool	operator< (const complex_t c0, const complex_t c1)
bool	operator> (const complex_t c0, const complex_t c1)
bool	operator<= (const complex_t c0, const complex_t c1)
bool	operator>= (const complex_t c0, const complex_t c1)
complex_t	operator+ (const double &r0, const complex_t &r1)
complex_t	operator- (const double &r0, const complex_t &r1)
complex_t	operator* (const double &r0, const complex_t &r1)
complex_t	operator/ (const double &r0, const complex_t &r1)
bool	operator== (const double &r0, const complex_t &r1)
bool	operator!= (const double &r0, const complex_t &r1)
complex_t	operator+ (const complex_t &r0, const double &r1)
complex_t	operator- (const complex_t &r0, const double &r1)
complex_t	operator* (const complex_t &r0, const double &r1)
complex_t	operator/ (const complex_t &r0, const double &r1)
complex_t	abs (const complex_t v)
complex_t	acos (const complex_t v)
complex_t	asin (const complex_t v)
complex_t	atan (const complex_t v)
complex_t	ceil (const complex_t v)
complex_t	cos (const complex_t v)
complex_t	cosh (const complex_t v)
complex_t	exp (const complex_t v)
complex_t	floor (const complex_t v)
complex_t	log (const complex_t v)
complex_t	log10 (const complex_t v)
complex_t	log2 (const complex_t v)
complex_t	neg (const complex_t v)
complex_t	pos (const complex_t v)
complex_t	sin (const complex_t v)
complex_t	sinh (const complex_t v)
complex_t	sqrt (const complex_t v)
complex_t	tan (const complex_t v)
complex_t	tanh (const complex_t v)
complex_t	cot (const complex_t v)
complex_t	sec (const complex_t v)
complex_t	csc (const complex_t v)
complex_t	r2d (const complex_t v)
complex_t	d2r (const complex_t v)
complex_t	d2g (const complex_t v)
complex_t	g2d (const complex_t v)
complex_t	notl (const complex_t v)
complex_t	frac (const complex_t v)
complex_t	trunc (const complex_t v)
complex_t	modulus (const complex_t v0, const complex_t v1)
complex_t	pow (const complex_t v0, const complex_t v1)
complex_t	logn (const complex_t v0, const complex_t v1)
complex_t	root (const complex_t v0, const complex_t v1)
complex_t	atan2 (const complex_t v0, const complex_t v1)
complex_t	max (const complex_t v0, const complex_t v1)
complex_t	min (const complex_t v0, const complex_t v1)
bool	is_true (const complex_t v)
bool	is_false (const complex_t v)
complex_t	equal (const complex_t v0x, const complex_t v1x)
complex_t	expm1 (const complex_t vx)
complex_t	nequal (const complex_t v0, const complex_t v1)
complex_t	log1p (const complex_t v)
complex_t	round (const complex_t v)
complex_t	roundn (const complex_t v0, const complex_t v1)
complex_t	hypot (const complex_t v0, const complex_t v1)
complex_t	shr (const complex_t v0, const complex_t v1)
complex_t	shl (const complex_t v0, const complex_t v1)
complex_t	sgn (const complex_t v)
complex_t	nand (const complex_t v0, const complex_t &v1)
complex_t	nor (const complex_t v0, const complex_t &v1)
complex_t	xnor (const complex_t v0, const complex_t &v1)
complex_t	erf (complex_t)
complex_t	erfc (complex_t v)

Function Documentation

abs()

complex_t cmplx::abs ( const complex_t  v )

inline

Definition at line 175 of file complex_type.hpp.

{ return complex_t(std::abs  (v.c_)); }

References cmplx::complex_t::c_.

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

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acos()

complex_t cmplx::acos ( const complex_t  v )

inline

Definition at line 176 of file complex_type.hpp.

{ return complex_t(std::acos (v.c_)); }

References cmplx::complex_t::c_.

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

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asin()

complex_t cmplx::asin ( const complex_t  v )

inline

Definition at line 177 of file complex_type.hpp.

{ return complex_t(std::asin (v.c_)); }

References cmplx::complex_t::c_.

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

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atan()

complex_t cmplx::atan ( const complex_t  v )

inline

Definition at line 178 of file complex_type.hpp.

{ return complex_t(std::atan (v.c_)); }

References cmplx::complex_t::c_.

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

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atan2()

complex_t cmplx::atan2 ( const complex_t  v0, const complex_t  v1  )

inline

Definition at line 209 of file complex_type.hpp.

{ return complex_t(std::atan2(v0.c_.real(),v0.c_.imag()),std::atan2(v1.c_.real(),v1.c_.imag())); }

References cmplx::complex_t::c_.

Referenced by exprtk::details::numeric::details::atan2_impl().

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ceil()

complex_t cmplx::ceil ( const complex_t  v )

inline

Definition at line 179 of file complex_type.hpp.

{ return complex_t(std::ceil (v.c_.real()),std::ceil (v.c_.imag())); }

References cmplx::complex_t::c_.

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

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cos()

complex_t cmplx::cos ( const complex_t  v )

inline

Definition at line 180 of file complex_type.hpp.

{ return complex_t(std::cos  (v.c_)); }

References cmplx::complex_t::c_.

Referenced by exprtk::details::numeric::details::cos_impl(), and exprtk::details::numeric::details::sec_impl().

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cosh()

complex_t cmplx::cosh ( const complex_t  v )

inline

Definition at line 181 of file complex_type.hpp.

{ return complex_t(std::cosh (v.c_)); }

References cmplx::complex_t::c_.

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

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cot()

complex_t cmplx::cot ( const complex_t  v )

inline

Definition at line 194 of file complex_type.hpp.

{ return complex_t(1.0 / std::tan(v.c_)); }

References cmplx::complex_t::c_.

csc()

complex_t cmplx::csc ( const complex_t  v )

inline

Definition at line 196 of file complex_type.hpp.

{ return complex_t(1.0 / std::sin(v.c_)); }

References cmplx::complex_t::c_.

d2g()

complex_t cmplx::d2g ( const complex_t  v )

inline

Definition at line 199 of file complex_type.hpp.

{ return complex_t(v.c_ * (20.0/9.0)); }

References cmplx::complex_t::c_.

d2r()

complex_t cmplx::d2r ( const complex_t  v )

inline

Definition at line 198 of file complex_type.hpp.

{ return complex_t(v.c_ * details::constant::pi_180.c_ ); }

References cmplx::complex_t::c_, and cmplx::details::constant::pi_180.

equal()

complex_t cmplx::equal ( const complex_t  v0x, const complex_t  v1x  )

inline

Definition at line 216 of file complex_type.hpp.

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

References abs(), and max().

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erf()

complex_t cmplx::erf ( complex_t  )

inline

Definition at line 310 of file complex_type.hpp.

   {
      // Note: Implementation for erf of a complex number is required.
      // http://ab-initio.mit.edu/Faddeeva.hh
      return complex_t(0);
   }

Referenced by erfc().

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erfc()

complex_t cmplx::erfc ( complex_t  v )

inline

Definition at line 317 of file complex_type.hpp.

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

References erf().

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exp()

complex_t cmplx::exp ( const complex_t  v )

inline

Definition at line 182 of file complex_type.hpp.

{ return complex_t(std::exp  (v.c_)); }

References cmplx::complex_t::c_.

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

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expm1()

complex_t cmplx::expm1 ( const complex_t  vx )

inline

Definition at line 224 of file complex_type.hpp.

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

References abs(), and exp().

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floor()

complex_t cmplx::floor ( const complex_t  v )

inline

Definition at line 183 of file complex_type.hpp.

{ return complex_t(std::floor(v.c_.real()),std::floor(v.c_.imag())); }

References cmplx::complex_t::c_.

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

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frac()

complex_t cmplx::frac ( const complex_t  v )

inline

Definition at line 202 of file complex_type.hpp.

{ return complex_t(v.c_.real() - static_cast<long long>(v.c_.real()));  }

References cmplx::complex_t::c_.

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

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g2d()

complex_t cmplx::g2d ( const complex_t  v )

inline

Definition at line 200 of file complex_type.hpp.

{ return complex_t(v.c_ * (9.0/20.0)); }

References cmplx::complex_t::c_.

hypot()

complex_t cmplx::hypot ( const complex_t  v0, const complex_t  v1  )

inline

Definition at line 268 of file complex_type.hpp.

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

References sqrt().

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is_false()

bool cmplx::is_false ( const complex_t  v )

inline

Definition at line 214 of file complex_type.hpp.

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

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

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is_true()

bool cmplx::is_true ( const complex_t  v )

inline

Definition at line 213 of file complex_type.hpp.

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

References is_true().

Referenced by exprtk::details::is_true(), is_true(), and xnor().

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log()

complex_t cmplx::log ( const complex_t  v )

inline

Definition at line 184 of file complex_type.hpp.

{ return complex_t(std::log  (v.c_)); }

References cmplx::complex_t::c_.

Referenced by exprtk::details::numeric::details::acosh_impl(), exprtk::details::numeric::details::asinh_impl(), exprtk::details::numeric::details::atanh_impl(), log1p(), exprtk::details::numeric::details::log2_impl(), and exprtk::details::numeric::details::log_impl().

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log10()

complex_t cmplx::log10 ( const complex_t  v )

inline

Definition at line 185 of file complex_type.hpp.

{ return complex_t(std::log10(v.c_)); }

References cmplx::complex_t::c_.

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

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log1p()

complex_t cmplx::log1p ( const complex_t  v )

inline

Definition at line 239 of file complex_type.hpp.

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

References abs(), and log().

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log2()

complex_t cmplx::log2 ( const complex_t  v )

inline

Definition at line 186 of file complex_type.hpp.

{ return complex_t(std::log(v.c_) / details::constant::log2.c_); }

References cmplx::complex_t::c_, and cmplx::details::constant::log2.

logn()

complex_t cmplx::logn ( const complex_t  v0, const complex_t  v1  )

inline

Definition at line 207 of file complex_type.hpp.

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

References cmplx::complex_t::c_.

max()

complex_t cmplx::max ( const complex_t  v0, const complex_t  v1  )

inline

Definition at line 210 of file complex_type.hpp.

{ return complex_t(v0 > v1 ? v0.c_ : v1.c_);           }

References cmplx::complex_t::c_.

Referenced by equal(), and nequal().

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min()

complex_t cmplx::min ( const complex_t  v0, const complex_t  v1  )

inline

Definition at line 211 of file complex_type.hpp.

{ return complex_t(v0 < v1 ? v0.c_ : v1.c_);           }

References cmplx::complex_t::c_.

modulus()

complex_t cmplx::modulus ( const complex_t  v0, const complex_t  v1  )

inline

Definition at line 205 of file complex_type.hpp.

{ return complex_t(fmod(v0.c_.real() , v1.c_.real()),fmod(v0.c_.imag() , v1.c_.imag())); }

References cmplx::complex_t::c_.

nand()

complex_t cmplx::nand ( const complex_t  v0, const complex_t &  v1  )

inline

Definition at line 290 of file complex_type.hpp.

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

References is_false().

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neg()

complex_t cmplx::neg ( const complex_t  v )

inline

Definition at line 187 of file complex_type.hpp.

{ return complex_t(-1.0 * v.c_); }

References cmplx::complex_t::c_.

nequal()

complex_t cmplx::nequal ( const complex_t  v0, const complex_t  v1  )

inline

Definition at line 233 of file complex_type.hpp.

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

References abs(), and max().

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nor()

complex_t cmplx::nor ( const complex_t  v0, const complex_t &  v1  )

inline

Definition at line 295 of file complex_type.hpp.

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

References is_false().

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notl()

complex_t cmplx::notl ( const complex_t  v )

inline

Definition at line 201 of file complex_type.hpp.

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

operator!=()

bool cmplx::operator!= ( const double &  r0, const complex_t &  r1  )

inline

Definition at line 109 of file complex_type.hpp.

operator*() [1/3]

complex_t cmplx::operator* ( const complex_t &  r0, const double &  r1  )

inline

Definition at line 109 of file complex_type.hpp.

operator*() [2/3]

complex_t cmplx::operator* ( const complex_t  r0, const complex_t  r1  )

inline

Definition at line 88 of file complex_type.hpp.

{ return complex_t(r0.c_ * r1.c_); }

References cmplx::complex_t::c_.

operator*() [3/3]

complex_t cmplx::operator* ( const double &  r0, const complex_t &  r1  )

inline

Definition at line 109 of file complex_type.hpp.

operator+() [1/3]

complex_t cmplx::operator+ ( const complex_t &  r0, const double &  r1  )

inline

Definition at line 109 of file complex_type.hpp.

operator+() [2/3]

complex_t cmplx::operator+ ( const complex_t  r0, const complex_t  r1  )

inline

Definition at line 86 of file complex_type.hpp.

{ return complex_t(r0.c_ + r1.c_); }

References cmplx::complex_t::c_.

operator+() [3/3]

complex_t cmplx::operator+ ( const double &  r0, const complex_t &  r1  )

inline

Definition at line 109 of file complex_type.hpp.

operator-() [1/3]

complex_t cmplx::operator- ( const complex_t &  r0, const double &  r1  )

inline

Definition at line 109 of file complex_type.hpp.

operator-() [2/3]

complex_t cmplx::operator- ( const complex_t  r0, const complex_t  r1  )

inline

Definition at line 87 of file complex_type.hpp.

{ return complex_t(r0.c_ - r1.c_); }

References cmplx::complex_t::c_.

operator-() [3/3]

complex_t cmplx::operator- ( const double &  r0, const complex_t &  r1  )

inline

Definition at line 109 of file complex_type.hpp.

operator/() [1/3]

complex_t cmplx::operator/ ( const complex_t &  r0, const double &  r1  )

inline

Definition at line 109 of file complex_type.hpp.

operator/() [2/3]

complex_t cmplx::operator/ ( const complex_t  r0, const complex_t  r1  )

inline

Definition at line 89 of file complex_type.hpp.

{ return complex_t(r0.c_ / r1.c_); }

References cmplx::complex_t::c_.

operator/() [3/3]

complex_t cmplx::operator/ ( const double &  r0, const complex_t &  r1  )

inline

Definition at line 109 of file complex_type.hpp.

operator<()

bool cmplx::operator< ( const complex_t  c0, const complex_t  c1  )

inline

Definition at line 92 of file complex_type.hpp.

{ return std::arg(c0.c_) <  std::arg(c1.c_); }

References cmplx::complex_t::c_.

operator<=()

bool cmplx::operator<= ( const complex_t  c0, const complex_t  c1  )

inline

Definition at line 94 of file complex_type.hpp.

{ return std::arg(c0.c_) <= std::arg(c1.c_); }

References cmplx::complex_t::c_.

operator==()

bool cmplx::operator== ( const double &  r0, const complex_t &  r1  )

inline

Definition at line 109 of file complex_type.hpp.

operator>()

bool cmplx::operator> ( const complex_t  c0, const complex_t  c1  )

inline

Definition at line 93 of file complex_type.hpp.

{ return std::arg(c0.c_) >  std::arg(c1.c_); }

References cmplx::complex_t::c_.

operator>=()

bool cmplx::operator>= ( const complex_t  c0, const complex_t  c1  )

inline

Definition at line 95 of file complex_type.hpp.

{ return std::arg(c0.c_) >= std::arg(c1.c_); }

References cmplx::complex_t::c_.

pos()

complex_t cmplx::pos ( const complex_t  v )

inline

Definition at line 188 of file complex_type.hpp.

{ return v;                      }

pow()

complex_t cmplx::pow ( const complex_t  v0, const complex_t  v1  )

inline

Definition at line 206 of file complex_type.hpp.

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

References cmplx::complex_t::c_.

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

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r2d()

complex_t cmplx::r2d ( const complex_t  v )

inline

Definition at line 197 of file complex_type.hpp.

{ return complex_t(v.c_ * details::constant::_180_pi.c_); }

References cmplx::details::constant::_180_pi, and cmplx::complex_t::c_.

root()

complex_t cmplx::root ( const complex_t  v0, const complex_t  v1  )

inline

Definition at line 208 of file complex_type.hpp.

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

References pow().

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round()

complex_t cmplx::round ( const complex_t  v )

inline

Definition at line 254 of file complex_type.hpp.

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

References ceil(), and floor().

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roundn()

complex_t cmplx::roundn ( const complex_t  v0, const complex_t  v1  )

inline

Definition at line 259 of file complex_type.hpp.

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

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

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sec()

complex_t cmplx::sec ( const complex_t  v )

inline

Definition at line 195 of file complex_type.hpp.

{ return complex_t(1.0 / std::cos(v.c_)); }

References cmplx::complex_t::c_.

sgn()

complex_t cmplx::sgn ( const complex_t  v )

inline

Definition at line 283 of file complex_type.hpp.

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

shl()

complex_t cmplx::shl ( const complex_t  v0, const complex_t  v1  )

inline

Definition at line 278 of file complex_type.hpp.

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

References pow(), and trunc().

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shr()

complex_t cmplx::shr ( const complex_t  v0, const complex_t  v1  )

inline

Definition at line 273 of file complex_type.hpp.

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

References pow(), and trunc().

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sin()

complex_t cmplx::sin ( const complex_t  v )

inline

Definition at line 189 of file complex_type.hpp.

{ return complex_t(std::sin  (v.c_)); }

References cmplx::complex_t::c_.

Referenced by exprtk::details::numeric::details::csc_impl(), and exprtk::details::numeric::details::sin_impl().

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sinh()

complex_t cmplx::sinh ( const complex_t  v )

inline

Definition at line 190 of file complex_type.hpp.

{ return complex_t(std::sinh (v.c_)); }

References cmplx::complex_t::c_.

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

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sqrt()

complex_t cmplx::sqrt ( const complex_t  v )

inline

Definition at line 191 of file complex_type.hpp.

{ return complex_t(std::sqrt (v.c_)); }

References cmplx::complex_t::c_.

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

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tan()

complex_t cmplx::tan ( const complex_t  v )

inline

Definition at line 192 of file complex_type.hpp.

{ return complex_t(std::tan  (v.c_)); }

References cmplx::complex_t::c_.

Referenced by exprtk::details::numeric::details::cot_impl(), and exprtk::details::numeric::details::tan_impl().

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tanh()

complex_t cmplx::tanh ( const complex_t  v )

inline

Definition at line 193 of file complex_type.hpp.

{ return complex_t(std::tanh (v.c_)); }

References cmplx::complex_t::c_.

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

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trunc()

complex_t cmplx::trunc ( const complex_t  v )

inline

Definition at line 203 of file complex_type.hpp.

{ return complex_t((double)static_cast<long long>(v.c_.real()));        }

References cmplx::complex_t::c_.

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

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xnor()

complex_t cmplx::xnor ( const complex_t  v0, const complex_t &  v1  )

inline

Definition at line 300 of file complex_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 complex_t(1);
      else
         return complex_t(0);
   }

References is_true().

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