gmp_complex Class Reference

gmp_complex numbers based on More...

#include <mpr_complex.h>

Public Member Functions
	gmp_complex (const gmp_float re=0.0, const gmp_float im=0.0)
	gmp_complex (const mprfloat re, const mprfloat im=0.0)
	gmp_complex (const long re, const long im)
	gmp_complex (const gmp_complex &v)
	~gmp_complex ()
gmp_complex &	neg ()
gmp_complex &	operator+= (const gmp_complex &a)
gmp_complex &	operator-= (const gmp_complex &a)
gmp_complex &	operator*= (const gmp_complex &a)
gmp_complex &	operator/= (const gmp_complex &a)
gmp_complex &	operator= (const gmp_complex &a)
gmp_complex &	operator= (const gmp_float &f)
gmp_float	real () const
gmp_float	imag () const
void	real (gmp_float val)
void	imag (gmp_float val)
bool	isZero ()
void	SmallToZero ()

Private Attributes
gmp_float	r
gmp_float	i

Friends
gmp_complex	operator+ (const gmp_complex &a, const gmp_complex &b)
gmp_complex	operator- (const gmp_complex &a, const gmp_complex &b)
gmp_complex	operator* (const gmp_complex &a, const gmp_complex &b)
gmp_complex	operator/ (const gmp_complex &a, const gmp_complex &b)
gmp_complex	operator+ (const gmp_complex &a, const gmp_float b_d)
gmp_complex	operator- (const gmp_complex &a, const gmp_float b_d)
gmp_complex	operator* (const gmp_complex &a, const gmp_float b_d)
gmp_complex	operator/ (const gmp_complex &a, const gmp_float b_d)
bool	operator== (const gmp_complex &a, const gmp_complex &b)
bool	operator> (const gmp_complex &a, const gmp_complex &b)
bool	operator< (const gmp_complex &a, const gmp_complex &b)
bool	operator>= (const gmp_complex &a, const gmp_complex &b)
bool	operator<= (const gmp_complex &a, const gmp_complex &b)

Detailed Description

gmp_complex numbers based on

Definition at line 178 of file mpr_complex.h.

Constructor & Destructor Documentation

gmp_complex() [1/4]

gmp_complex::gmp_complex ( const gmp_float  re = 0.0, const gmp_float  im = 0.0  )

inline

Definition at line 184 of file mpr_complex.h.

  {
    r= re;
    i= im;
  }

gmp_complex() [2/4]

gmp_complex::gmp_complex ( const mprfloat  re, const mprfloat  im = 0.0  )

inline

Definition at line 189 of file mpr_complex.h.

  {
    r= re;
    i= im;
  }

gmp_complex() [3/4]

gmp_complex::gmp_complex ( const long  re, const long  im  )

inline

Definition at line 194 of file mpr_complex.h.

  {
    r= re;
    i= im;
  }

gmp_complex() [4/4]

gmp_complex::gmp_complex ( const gmp_complex &  v )

inline

Definition at line 199 of file mpr_complex.h.

  {
    r= v.r;
    i= v.i;
  }

~gmp_complex()

gmp_complex::~gmp_complex ( )

inline

Definition at line 204 of file mpr_complex.h.

{}

Member Function Documentation

imag() [1/2]

gmp_float gmp_complex::imag ( ) const

inline

Definition at line 235 of file mpr_complex.h.

{ return i; }

imag() [2/2]

void gmp_complex::imag ( gmp_float  val )

inline

Definition at line 238 of file mpr_complex.h.

{ i = val; }

isZero()

bool gmp_complex::isZero ( )

inline

Definition at line 241 of file mpr_complex.h.

{ return (r.isZero() && i.isZero()); }

neg()

gmp_complex & gmp_complex::neg

(

)

Definition at line 660 of file mpr_complex.cc.

{
  i.neg();
  r.neg();
  return *this;
}

operator*=()

gmp_complex & gmp_complex::operator*=

(

const gmp_complex &

a

)

Definition at line 653 of file mpr_complex.cc.

{
  gmp_float f = r * b.r - i * b.i;
  i = r * b.i + i * b.r;
  r = f;
  return *this;
}

operator+=()

gmp_complex & gmp_complex::operator+=

(

const gmp_complex &

a

)

Definition at line 641 of file mpr_complex.cc.

{
  r+=b.r;
  i+=b.i;
  return *this;
}

operator-=()

gmp_complex & gmp_complex::operator-=

(

const gmp_complex &

a

)

Definition at line 647 of file mpr_complex.cc.

{
  r-=b.r;
  i-=b.i;
  return *this;
}

operator/=()

gmp_complex & gmp_complex::operator/=

(

const gmp_complex &

a

)

Definition at line 666 of file mpr_complex.cc.

{
  gmp_float d = b.r*b.r + b.i*b.i;
  r = (r * b.r + i * b.i) / d;
  i = (i * b.r - r * b.i) / d;
  return *this;
}

operator=() [1/2]

gmp_complex & gmp_complex::operator= ( const gmp_complex &  a )

inline

Definition at line 288 of file mpr_complex.h.

{
  r= a.r;
  i= a.i;
  return *this;
}

operator=() [2/2]

gmp_complex & gmp_complex::operator= ( const gmp_float &  f )

inline

Definition at line 296 of file mpr_complex.h.

{
  r= f;
  i= (long int)0;
  return *this;
}

real() [1/2]

gmp_float gmp_complex::real ( ) const

inline

Definition at line 234 of file mpr_complex.h.

{ return r; }

real() [2/2]

void gmp_complex::real ( gmp_float  val )

inline

Definition at line 237 of file mpr_complex.h.

{ r = val; }

SmallToZero()

void gmp_complex::SmallToZero

(

)

Definition at line 784 of file mpr_complex.cc.

{
  gmp_float ar=this->real();
  gmp_float ai=this->imag();
  if (ar.isZero() || ai.isZero()) return;
  mpf_abs(*ar._mpfp(), *ar._mpfp());
  mpf_abs(*ai._mpfp(), *ai._mpfp());
  mpf_set_prec(*ar._mpfp(), 32);
  mpf_set_prec(*ai._mpfp(), 32);
  if (ar > ai)
  {
    mpf_div(*ai._mpfp(), *ai._mpfp(), *ar._mpfp());
    if (ai < *gmpRel) this->imag(0.0);
  }
  else
  {
    mpf_div(*ar._mpfp(), *ar._mpfp(), *ai._mpfp());
    if (ar < *gmpRel) this->real(0.0);
  }
}

Friends And Related Function Documentation

operator* [1/2]

gmp_complex operator* ( const gmp_complex &  a, const gmp_complex &  b  )

friend

Definition at line 627 of file mpr_complex.cc.

{
  return gmp_complex( a.r * b.r - a.i * b.i,
                  a.r * b.i + a.i * b.r);
}

operator* [2/2]

gmp_complex operator* ( const gmp_complex &  a, const gmp_float  b_d  )

friend

Definition at line 255 of file mpr_complex.h.

{
  return gmp_complex( a.r * b_d, a.i * b_d );
}

operator+ [1/2]

gmp_complex operator+ ( const gmp_complex &  a, const gmp_complex &  b  )

friend

Definition at line 619 of file mpr_complex.cc.

{
  return gmp_complex( a.r + b.r, a.i + b.i );
}

operator+ [2/2]

gmp_complex operator+ ( const gmp_complex &  a, const gmp_float  b_d  )

friend

Definition at line 247 of file mpr_complex.h.

{
  return gmp_complex( a.r + b_d, a.i );
}

operator- [1/2]

gmp_complex operator- ( const gmp_complex &  a, const gmp_complex &  b  )

friend

Definition at line 623 of file mpr_complex.cc.

{
  return gmp_complex( a.r - b.r, a.i - b.i );
}

operator- [2/2]

gmp_complex operator- ( const gmp_complex &  a, const gmp_float  b_d  )

friend

Definition at line 251 of file mpr_complex.h.

{
  return gmp_complex( a.r - b_d, a.i );
}

operator/ [1/2]

gmp_complex operator/ ( const gmp_complex &  a, const gmp_complex &  b  )

friend

Definition at line 632 of file mpr_complex.cc.

{
  gmp_float d = b.r*b.r + b.i*b.i;
  return gmp_complex( (a.r * b.r + a.i * b.i) / d,
                (a.i * b.r - a.r * b.i) / d);
}

operator/ [2/2]

gmp_complex operator/ ( const gmp_complex &  a, const gmp_float  b_d  )

friend

Definition at line 259 of file mpr_complex.h.

{
  return gmp_complex( a.r / b_d, a.i / b_d );
}

operator<

bool operator< ( const gmp_complex &  a, const gmp_complex &  b  )

friend

Definition at line 273 of file mpr_complex.h.

{
  return ( a.real() < b.real() );
}

operator<=

bool operator<= ( const gmp_complex &  a, const gmp_complex &  b  )

friend

Definition at line 281 of file mpr_complex.h.

{
  return ( a.real() <= b.real() );
}

operator==

bool operator== ( const gmp_complex &  a, const gmp_complex &  b  )

friend

Definition at line 265 of file mpr_complex.h.

{
  return ( b.real() == a.real() ) && ( b.imag() == a.imag() );
}

operator>

bool operator> ( const gmp_complex &  a, const gmp_complex &  b  )

friend

Definition at line 269 of file mpr_complex.h.

{
  return ( a.real() > b.real() );
}

operator>=

bool operator>= ( const gmp_complex &  a, const gmp_complex &  b  )

friend

Definition at line 277 of file mpr_complex.h.

{
  return ( a.real() >= b.real() );
}

Field Documentation

i

gmp_float gmp_complex::i

private

Definition at line 181 of file mpr_complex.h.

r

gmp_float gmp_complex::r

private

Definition at line 181 of file mpr_complex.h.

---

The documentation for this class was generated from the following files:

• libpolys/coeffs/mpr_complex.h
• libpolys/coeffs/mpr_complex.cc