RealNumber Struct Reference

Represent a real number with 15 significant digits. More...

#include <real.h>

Inheritance diagram for RealNumber:

Collaboration diagram for RealNumber:

Public Member Functions
	RealNumber ()
	RealNumber (double x)
	RealNumber (signed int i)
	RealNumber (unsigned int i)
	RealNumber (double x, bool round)
	~RealNumber ()
Number *	Clone ()
int	GetIntegerValue ()
double	GetRealValue ()
void	SetRealValue (double value)
bool	PureComplexValue ()
int	GetPrecedence ()
int	GetDefaultPrecedence ()
bool	IsNegative ()
bool	IsZero ()
	Returns true if number is zero. More...
bool	IsNaN ()
	Returns true if number is NaN. More...
bool	IsInfinite ()
	Returns true if number is infinite. More...
bool	IsNotImplemented ()
	Always returns false for real numbers. More...
Number *	Unary ()
	Change sign of real number. More...
Number *	Add (Number *other)
	Addition of two real numbers. More...
Number *	Sub (Number *other)
	Subtraction of two real numbers. More...
Number *	Mul (Number *other)
	Multiplication of two real numbers. More...
Number *	Div (Number *other)
	Division of two real numbers. More...
Number *	Raise (Number *exponent)
	Exponentiation function for real numbers. More...
Number *	Signum ()
	Mathematical sign function for real numbers. More...
Number *	Trunc ()
	Mathematical trunc function for real numbers. More...
Number *	Round ()
	Mathematical round function for real numbers. More...
Number *	Floor ()
	Mathematical floor function for real numbers. More...
Number *	Ceiling ()
	Mathematical ceiling function for real numbers. More...
Number *	Absolute ()
	Absolute value of number for real numbers. More...
Number *	SquareRoot ()
	Square root function for real numbers. More...
Number *	CubeRoot ()
	Cube root function for real numbers. More...
Number *	Reciprocal ()
	Reciprocal function for real numbers. More...
Number *	Factorial ()
	Factorial function for real numbers. More...
Number *	Log ()
	Natural logarithm function (base e) for real numbers. More...
Number *	Log2 ()
	Binary logarithm function (base 2) for real numbers. More...
Number *	Log10 ()
	Base 10 logarithm function for real numbers. More...
Number *	Sine ()
	Trigonometric sine function for real numbers. More...
Number *	Cosine ()
	Trigonometric cosine function for real numbers. More...
Number *	Tangent ()
	Trigonometric tangent function for real numbers. More...
Number *	Cosecant ()
	Trigonometric cosecant function for real numbers. More...
Number *	Secant ()
	Trigonometric secant function for real numbers. More...
Number *	Cotangent ()
	Trigonometric cotangent function for real numbers. More...
Number *	Chord ()
	Trigonometric chord function for real numbers. More...
Number *	ExSecant ()
	Trigonometric exsecant function for real numbers. More...
Number *	ExCosecant ()
	Trigonometric excosecant function for real numbers. More...
Number *	ArcSine ()
	Inverse trigonometric sine function for real numbers. More...
Number *	ArcCosine ()
	Inverse trigonometric cosine function for real numbers. More...
Number *	ArcTangent ()
	Inverse trigonometric tangent function for real numbers. More...
Number *	ArcCosecant ()
	Inverse trigonometric cosecant function for real numbers. More...
Number *	ArcCotangent ()
	Inverse trigonometric cotangent function for real numbers. More...
Number *	ArcSecant ()
	Inverse trigonometric secant function for real numbers. More...
Number *	ArcChord ()
	Inverse trigonometric chord function for real numbers. More...
Number *	ArcExSecant ()
	Inverse trigonometric exsecant function for real numbers. More...
Number *	ArcExCosecant ()
	Inverse trigonometric excosecant function for real numbers. More...
Number *	HypSine ()
	Hyperbolic sine function for real numbers. More...
Number *	HypCosine ()
	Hyperbolic cosine function for real numbers. More...
Number *	HypTangent ()
	Hyperbolic tangent function for real numbers. More...
Number *	HypCosecant ()
	Hyperbolic cosecant function for real numbers. More...
Number *	HypSecant ()
	Hyperbolic secant function for real numbers. More...
Number *	HypCotangent ()
	Hyperbolic cotangent function for real numbers. More...
Number *	HypArcSine ()
	Inverse hyperbolic sine function for real numbers. More...
Number *	HypArcCosine ()
	Inverse hyperbolic cosine function for real numbers. More...
Number *	HypArcTangent ()
	Inverse hyperbolic tangent function for real numbers. More...
Number *	HypArcCosecant ()
	Inverse hyperbolic cosecant function for real numbers. More...
Number *	HypArcSecant ()
	Inverse hyperbolic secant function for real numbers. More...
Number *	HypArcCotangent ()
	Inverse hyperbolic cotangent function for real numbers. More...
Number *	VerSine ()
	Versed sine function for real numbers. More...
Number *	VerCosine ()
	Versed cosine function for real numbers. More...
Number *	CoVerSine ()
	Coversed sine function for real numbers. More...
Number *	CoVerCosine ()
	Coversed cosine function for real numbers. More...
Number *	HaVerSine ()
	Haversed sine function for real numbers. More...
Number *	HaVerCosine ()
	Haversed cosine function for real numbers. More...
Number *	HaCoVerSine ()
	Hacoversed sine function for real numbers. More...
Number *	HaCoVerCosine ()
	Hacoversed cosine function for real numbers. More...
Number *	ArcVerSine ()
	Inverse versed sine function for real numbers. More...
Number *	ArcVerCosine ()
	Inverse versed cosine function for real numbers. More...
Number *	ArcCoVerSine ()
	Inverse coversed sine function for real numbers. More...
Number *	ArcCoVerCosine ()
	Inverse coversed cosine function for real numbers. More...
Number *	ArcHaVerSine ()
	Inverse haversed sine function for real numbers. More...
Number *	ArcHaVerCosine ()
	Inverse haversed cosine function for real numbers. More...
Number *	ArcHaCoVerSine ()
	Inverse hacoversed sine function for real numbers. More...
Number *	ArcHaCoVerCosine ()
	Inverse hacoversed cosine function for real numbers. More...
Public Member Functions inherited from Number
	Number (NumberSystem system)
virtual	~Number ()

Private Attributes
double	x

Friends
struct	ComplexNumber

Additional Inherited Members
Protected Attributes inherited from Number
NumberSystem	system

Detailed Description

Represent a real number with 15 significant digits.

Calculations are done using 64 bit IEEE 754 arithmetics.

Definition at line 45 of file real.h.

Constructor & Destructor Documentation

RealNumber() [1/5]

RealNumber::RealNumber

(

)

Definition at line 37 of file real.cpp.

References nsysreal, Number::Number(), and x.

Referenced by PlotStatement::Execute(), Grid::Grid(), NumericValueNode::NumericValueNode(), PositionalNumeralSystem::Parse(), and Program::Program().

                       : Number(nsysreal)
{
    x = 0;
}

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RealNumber() [2/5]

RealNumber::RealNumber ( double  x )

explicit

Definition at line 42 of file real.cpp.

References nsysreal, Number::Number(), and x.

Referenced by ComplexNumber::Absolute(), Absolute(), Add(), Ceiling(), Clone(), CubeRoot(), Div(), EulersNumberNode::EulersNumberNode(), Floor(), Log(), Log10(), Log2(), Mul(), PositionalNumeralSystem::Parse(), PiNode::PiNode(), Raise(), Reciprocal(), Round(), ComplexNumber::Signum(), SquareRoot(), Sub(), Trunc(), and Unary().

                               : Number(nsysreal)
{
    this->x = x;
}

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RealNumber() [3/5]

RealNumber::RealNumber ( signed int  i )

explicit

Definition at line 71 of file real.cpp.

References nsysreal, Number::Number(), and x.

Referenced by MemoryStatement::Execute(), PreferencesBase::GetDescription(), and Signum().

                                   : Number(nsysreal)
{
    x = i * 1.0;
}

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RealNumber() [4/5]

RealNumber::RealNumber ( unsigned int  i )

explicit

Definition at line 76 of file real.cpp.

References nsysreal, Number::Number(), and x.

Referenced by DigitsStatement::Execute(), and PositionalNumeralSystem::GetName().

                                     : Number(nsysreal)
{
    x = i * 1.0;
}

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RealNumber() [5/5]

RealNumber::RealNumber	(	double	x,
		bool	round
	)

Definition at line 47 of file real.cpp.

References FloatUnion64::floatingPoint, FloatUnion64::integer, nsysreal, Number::Number(), and x.

Referenced by ArcChord(), ArcCosecant(), ArcCosine(), ArcCotangent(), ArcCoVerCosine(), ArcCoVerSine(), ArcExCosecant(), ArcExSecant(), ArcHaCoVerCosine(), ArcHaCoVerSine(), ArcHaVerCosine(), ArcHaVerSine(), ArcSecant(), ArcSine(), ArcTangent(), ArcVerCosine(), ArcVerSine(), Chord(), Cosecant(), Cosine(), Cotangent(), CoVerCosine(), CoVerSine(), ExCosecant(), ExSecant(), HaCoVerCosine(), HaCoVerSine(), HaVerCosine(), HaVerSine(), HypArcCosecant(), HypArcCosine(), HypArcCotangent(), HypArcSecant(), HypArcSine(), HypArcTangent(), HypCosecant(), HypCosine(), HypCotangent(), HypSecant(), HypSine(), HypTangent(), Secant(), Sine(), Tangent(), VerCosine(), and VerSine().

                                           : Number(nsysreal)
{
    if ((round && ((x > 0 && x < 1e-15) || (x < 0 && x > -1e-15))))
    {
        this->x = 0.0;
    }
    else if (round && x > 1e+16)
    {
        FloatUnion64 d;
        d.integer = INFP;
        this->x = d.floatingPoint;
    }
    else if (round && x < -1e+16)
    {
        FloatUnion64 d;
        d.integer = INFN;
        this->x = d.floatingPoint;
    }
    else
    {
        this->x = x;
    }
}

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~RealNumber()

RealNumber::~RealNumber

(

)

Definition at line 81 of file real.cpp.

{
}

Member Function Documentation

Absolute()

Number * RealNumber::Absolute ( )

virtual

Absolute value of number for real numbers.

See implementation in fabs(double)

Implements Number.

Definition at line 320 of file real.cpp.

References fabs(), RealNumber(), and x.

{
    return new RealNumber(fabs(x));
}

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Add()

Number * RealNumber::Add ( Number *  other )

virtual

Addition of two real numbers.

Implements Number.

Definition at line 182 of file real.cpp.

References Number::Add(), Number::IsNaN(), nnnan, NonNumber::NonNumber(), nsysreal, RealNumber(), Number::system, and x.

{
    if (other->IsNaN())
        return new NonNumber(nnnan);

    if (other->system == nsysreal)
    {
        RealNumber *a = static_cast<RealNumber *>(other);
        return new RealNumber(x + a->x);
    }

    return other->Add(this);
}

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ArcChord()

Number * RealNumber::ArcChord ( )

virtual

Inverse trigonometric chord function for real numbers.

See implementation of Inverse chord function in acrd(double)

Implements Number.

Definition at line 586 of file real.cpp.

References acrd(), RealNumber(), and x.

{
    return new RealNumber(acrd(x), true);
}

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ArcCosecant()

Number * RealNumber::ArcCosecant ( )

virtual

Inverse trigonometric cosecant function for real numbers.

See implementation of inverse trigonometric cosecant in acsc(double)

Implements Number.

Definition at line 562 of file real.cpp.

References acsc(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = acsc(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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ArcCosine()

Number * RealNumber::ArcCosine ( )

virtual

Inverse trigonometric cosine function for real numbers.

See implementation of inverse trigonometric cosine in acos(double)

Implements Number.

Definition at line 532 of file real.cpp.

References acos(), RealNumber(), and x.

{
    return new RealNumber(acos(x), true);
}

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ArcCotangent()

Number * RealNumber::ArcCotangent ( )

virtual

Inverse trigonometric cotangent function for real numbers.

See implementation of inverse trigonometric cotangent in acot(double)

Implements Number.

Definition at line 574 of file real.cpp.

References acot(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = acot(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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ArcCoVerCosine()

Number * RealNumber::ArcCoVerCosine ( )

virtual

Inverse coversed cosine function for real numbers.

See implementation of inverse coversed cosine in acvc(double)

Implements Number.

Definition at line 847 of file real.cpp.

References acvc(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = acvc(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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ArcCoVerSine()

Number * RealNumber::ArcCoVerSine ( )

virtual

Inverse coversed sine function for real numbers.

See implementation of inverse coversed sine in acvs(double)

Implements Number.

Definition at line 835 of file real.cpp.

References acvs(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = acvs(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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ArcExCosecant()

Number * RealNumber::ArcExCosecant ( )

virtual

Inverse trigonometric excosecant function for real numbers.

See implementation of Inverse excosecant function in aexc(double)

Implements Number.

Definition at line 604 of file real.cpp.

References aexc(), RealNumber(), and x.

{
    return new RealNumber(aexc(x), true);
}

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ArcExSecant()

Number * RealNumber::ArcExSecant ( )

virtual

Inverse trigonometric exsecant function for real numbers.

See implementation of Inverse exsecant function in aexs(double)

Implements Number.

Definition at line 595 of file real.cpp.

References aexs(), RealNumber(), and x.

{
    return new RealNumber(aexs(x), true);
}

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ArcHaCoVerCosine()

Number * RealNumber::ArcHaCoVerCosine ( )

virtual

Inverse hacoversed cosine function for real numbers.

See implementation of inverse hacoversed cosine in ahcc(double)

Implements Number.

Definition at line 895 of file real.cpp.

References ahcc(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = ahcc(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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ArcHaCoVerSine()

Number * RealNumber::ArcHaCoVerSine ( )

virtual

Inverse hacoversed sine function for real numbers.

See implementation of inverse hacoversed sine in ahcv(double)

Implements Number.

Definition at line 883 of file real.cpp.

References ahcv(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = ahcv(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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ArcHaVerCosine()

Number * RealNumber::ArcHaVerCosine ( )

virtual

Inverse haversed cosine function for real numbers.

See implementation of inverse haversed cosine in ahvc(double)

Implements Number.

Definition at line 871 of file real.cpp.

References ahvc(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = ahvc(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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ArcHaVerSine()

Number * RealNumber::ArcHaVerSine ( )

virtual

Inverse haversed sine function for real numbers.

See implementation of inverse haversed sine in ahv(double)

Implements Number.

Definition at line 859 of file real.cpp.

References ahv(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = ahv(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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ArcSecant()

Number * RealNumber::ArcSecant ( )

virtual

Inverse trigonometric secant function for real numbers.

See implementation of inverse trigonometric secant in asec(double)

Implements Number.

Definition at line 550 of file real.cpp.

References asec(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = asec(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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ArcSine()

Number * RealNumber::ArcSine ( )

virtual

Inverse trigonometric sine function for real numbers.

See implementation of inverse trigonometric sine in asin(double)

Implements Number.

Definition at line 523 of file real.cpp.

References asin(), RealNumber(), and x.

{
    return new RealNumber(asin(x), true);
}

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ArcTangent()

Number * RealNumber::ArcTangent ( )

virtual

Inverse trigonometric tangent function for real numbers.

See implementation of inverse trigonometric tangent in atan(double)

Implements Number.

Definition at line 541 of file real.cpp.

References atan(), RealNumber(), and x.

{
    return new RealNumber(atan(x), true);
}

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ArcVerCosine()

Number * RealNumber::ArcVerCosine ( )

virtual

Inverse versed cosine function for real numbers.

See implementation of inverse versed cosine sine in avcs(double)

Implements Number.

Definition at line 823 of file real.cpp.

References avcs(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = avcs(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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ArcVerSine()

Number * RealNumber::ArcVerSine ( )

virtual

Inverse versed sine function for real numbers.

See implementation of inverse versed sine in aver(double)

Implements Number.

Definition at line 811 of file real.cpp.

References aver(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = aver(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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Ceiling()

Number * RealNumber::Ceiling ( )

virtual

Mathematical ceiling function for real numbers.

See implementation in ceil(double)

Implements Number.

Definition at line 311 of file real.cpp.

References ceil(), RealNumber(), and x.

{
    return new RealNumber(ceil(x));
}

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Chord()

Number * RealNumber::Chord ( )

virtual

Trigonometric chord function for real numbers.

See implementation of chord function in crd(double)

Implements Number.

Definition at line 496 of file real.cpp.

References crd(), RealNumber(), and x.

{
    return new RealNumber(crd(x), true);
}

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Clone()

Number * RealNumber::Clone ( )

virtual

Implements Number.

Definition at line 85 of file real.cpp.

References RealNumber(), and x.

{
    return new RealNumber(x);
}

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Cosecant()

Number * RealNumber::Cosecant ( )

virtual

Trigonometric cosecant function for real numbers.

See implementation of cosecant function in csc(double)

Implements Number.

Definition at line 472 of file real.cpp.

References csc(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = csc(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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Cosine()

Number * RealNumber::Cosine ( )

virtual

Trigonometric cosine function for real numbers.

See implementation of cosine function in cos(double)

Implements Number.

Definition at line 442 of file real.cpp.

References cos(), RealNumber(), and x.

{
    return new RealNumber(cos(x), true);
}

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Cotangent()

Number * RealNumber::Cotangent ( )

virtual

Trigonometric cotangent function for real numbers.

See implementation of cotangent function in cot(double)

Implements Number.

Definition at line 484 of file real.cpp.

References cot(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = cot(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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CoVerCosine()

Number * RealNumber::CoVerCosine ( )

virtual

Coversed cosine function for real numbers.

See implementation of coversed cosine in cvc(double)

Implements Number.

Definition at line 766 of file real.cpp.

References cvc(), RealNumber(), and x.

{
    return new RealNumber(cvc(x), true);
}

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CoVerSine()

Number * RealNumber::CoVerSine ( )

virtual

Coversed sine function for real numbers.

See implementation of coversed sine in cvs(double)

Implements Number.

Definition at line 757 of file real.cpp.

References cvs(), RealNumber(), and x.

{
    return new RealNumber(cvs(x), true);
}

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CubeRoot()

Number * RealNumber::CubeRoot ( )

virtual

Cube root function for real numbers.

See implementation of cube root in cbrt(double)

Implements Number.

Definition at line 344 of file real.cpp.

References cbrt(), ComplexNumber::ComplexNumber(), Number::CubeRoot(), RealNumber(), and x.

{
    if (x >= 0.0)
        return new RealNumber(cbrt(x));
    
    Number *n = new ComplexNumber(x, 0);
    Number *r = n->CubeRoot();
    delete n;
    return r;
}

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Div()

Number * RealNumber::Div ( Number *  other )

virtual

Division of two real numbers.

Implements Number.

Definition at line 236 of file real.cpp.

References Number::IsNaN(), Number::IsZero(), Mul(), nnnan, NonNumber::NonNumber(), nsysreal, RealNumber(), Number::Reciprocal(), Number::system, and x.

{
    if (other->IsZero() || other->IsNaN())
        return new NonNumber(nnnan);

    if (other->system == nsysreal)
    {
        RealNumber *a = static_cast<RealNumber *>(other);
        return new RealNumber(x / a->x);
    }

    Number *y = other->Reciprocal();
    Number *q = Mul(y);
    delete y;
    return q;
}

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ExCosecant()

Number * RealNumber::ExCosecant ( )

virtual

Trigonometric excosecant function for real numbers.

See implementation of excosecant function in exc(double)

Implements Number.

Definition at line 514 of file real.cpp.

References exc(), RealNumber(), and x.

{
    return new RealNumber(exc(x), true);
}

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ExSecant()

Number * RealNumber::ExSecant ( )

virtual

Trigonometric exsecant function for real numbers.

See implementation of exsecant function in exs(double)

Implements Number.

Definition at line 505 of file real.cpp.

References exs(), RealNumber(), and x.

{
    return new RealNumber(exs(x), true);
}

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Factorial()

Number * RealNumber::Factorial ( )

virtual

Factorial function for real numbers.

Implements Number.

Definition at line 369 of file real.cpp.

References nnnimp, and NonNumber::NonNumber().

{
    return new NonNumber(nnnimp);
}

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Floor()

Number * RealNumber::Floor ( )

virtual

Mathematical floor function for real numbers.

See implementation in floor(double)

Implements Number.

Definition at line 302 of file real.cpp.

References floor(), RealNumber(), and x.

{
    return new RealNumber(floor(x));
}

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GetDefaultPrecedence()

int RealNumber::GetDefaultPrecedence ( )

virtual

Implements Number.

Definition at line 115 of file real.cpp.

{
    return 0;
}

GetIntegerValue()

int RealNumber::GetIntegerValue ( )

virtual

Implements Number.

Definition at line 90 of file real.cpp.

References x.

{
    return static_cast<int>(x);
}

GetPrecedence()

int RealNumber::GetPrecedence ( )

virtual

Implements Number.

Definition at line 110 of file real.cpp.

References x.

{
    return (x < 0.0) ? -1 : 0;
}

GetRealValue()

double RealNumber::GetRealValue ( )

virtual

Implements Number.

Definition at line 95 of file real.cpp.

References x.

{
    return x;
}

HaCoVerCosine()

Number * RealNumber::HaCoVerCosine ( )

virtual

Hacoversed cosine function for real numbers.

See implementation of hacoversed cosine in hcc(double)

Implements Number.

Definition at line 802 of file real.cpp.

References hcc(), RealNumber(), and x.

{
    return new RealNumber(hcc(x), true);
}

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HaCoVerSine()

Number * RealNumber::HaCoVerSine ( )

virtual

Hacoversed sine function for real numbers.

See implementation of hacoversed cosine in hcv(double)

Implements Number.

Definition at line 793 of file real.cpp.

References hcv(), RealNumber(), and x.

{
    return new RealNumber(hcv(x), true);
}

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HaVerCosine()

Number * RealNumber::HaVerCosine ( )

virtual

Haversed cosine function for real numbers.

See implementation of haversed cosine in hvc(double)

Implements Number.

Definition at line 784 of file real.cpp.

References hvc(), RealNumber(), and x.

{
    return new RealNumber(hvc(x), true);
}

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HaVerSine()

Number * RealNumber::HaVerSine ( )

virtual

Haversed sine function for real numbers.

See implementation of haversed sine in hv(double)

Implements Number.

Definition at line 775 of file real.cpp.

References hv(), RealNumber(), and x.

{
    return new RealNumber(hv(x), true);
}

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HypArcCosecant()

Number * RealNumber::HypArcCosecant ( )

virtual

Inverse hyperbolic cosecant function for real numbers.

See implementation of inverse hyperbolic cosecant in acsch(double)

Implements Number.

Definition at line 715 of file real.cpp.

References acsch(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = acsch(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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HypArcCosine()

Number * RealNumber::HypArcCosine ( )

virtual

Inverse hyperbolic cosine function for real numbers.

See implementation of inverse hyperbolic cosine in acosh(double)

Implements Number.

Definition at line 685 of file real.cpp.

References acosh(), RealNumber(), and x.

{
    return new RealNumber(acosh(x), true);
}

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HypArcCotangent()

Number * RealNumber::HypArcCotangent ( )

virtual

Inverse hyperbolic cotangent function for real numbers.

See implementation of hyperbolic cotangent in acoth(double)

Implements Number.

Definition at line 727 of file real.cpp.

References acoth(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = acoth(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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HypArcSecant()

Number * RealNumber::HypArcSecant ( )

virtual

Inverse hyperbolic secant function for real numbers.

See implementation of inverse hyperbolic secant in asech(double)

Implements Number.

Definition at line 703 of file real.cpp.

References asech(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = asech(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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HypArcSine()

Number * RealNumber::HypArcSine ( )

virtual

Inverse hyperbolic sine function for real numbers.

See implementation of inverse hyperbolic sine in asinh(double)

Implements Number.

Definition at line 676 of file real.cpp.

References asinh(), RealNumber(), and x.

{
    return new RealNumber(asinh(x), true);
}

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HypArcTangent()

Number * RealNumber::HypArcTangent ( )

virtual

Inverse hyperbolic tangent function for real numbers.

See implementation of hyperbolic tangent in atanh(double)

Implements Number.

Definition at line 694 of file real.cpp.

References atanh(), RealNumber(), and x.

{
    return new RealNumber(atanh(x), true);
}

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HypCosecant()

Number * RealNumber::HypCosecant ( )

virtual

Hyperbolic cosecant function for real numbers.

See implementation of hyperbolic sine function in csch(double)

Implements Number.

Definition at line 652 of file real.cpp.

References csch(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = csch(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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HypCosine()

Number * RealNumber::HypCosine ( )

virtual

Hyperbolic cosine function for real numbers.

See implementation of hyperbolic cosine function in cosh(double)

Implements Number.

Definition at line 622 of file real.cpp.

References cosh(), RealNumber(), and x.

{
    return new RealNumber(cosh(x), true);
}

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HypCotangent()

Number * RealNumber::HypCotangent ( )

virtual

Hyperbolic cotangent function for real numbers.

See implementation of hyperbolic tangent function in coth(double)

Implements Number.

Definition at line 664 of file real.cpp.

References coth(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    double a = coth(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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HypSecant()

Number * RealNumber::HypSecant ( )

virtual

Hyperbolic secant function for real numbers.

See implementation of hyperbolic secant function in sech(double)

Implements Number.

Definition at line 640 of file real.cpp.

References nnnan, NonNumber::NonNumber(), RealNumber(), sech(), and x.

{
    double a = sech(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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HypSine()

Number * RealNumber::HypSine ( )

virtual

Hyperbolic sine function for real numbers.

See implementation of hyperbolic sine function in sinh(double)

Implements Number.

Definition at line 613 of file real.cpp.

References RealNumber(), sinh(), and x.

{
    return new RealNumber(sinh(x), true);
}

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HypTangent()

Number * RealNumber::HypTangent ( )

virtual

Hyperbolic tangent function for real numbers.

See implementation of hyperbolic tangent function in tanh(double)

Implements Number.

Definition at line 631 of file real.cpp.

References RealNumber(), tanh(), and x.

{
    return new RealNumber(tanh(x), true);
}

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IsInfinite()

bool RealNumber::IsInfinite ( )

virtual

Returns true if number is infinite.

Implements Number.

Definition at line 150 of file real.cpp.

References FloatUnion64::floatingPoint, FloatUnion64::IsInf(), FloatUnion64::IsMaxNegative(), FloatUnion64::IsMaxPositive(), and x.

{
    // Handle subnormal values
    if ((x > 0 && x <= 1e-308) || (x < 0 && x >= -1e-308))
    {
        return true;
    }

    FloatUnion64 d;
    d.floatingPoint = x;
    return d.IsInf() || d.IsMaxPositive() || d.IsMaxNegative();
}

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IsNaN()

bool RealNumber::IsNaN ( )

virtual

Returns true if number is NaN.

Implements Number.

Definition at line 140 of file real.cpp.

References FloatUnion64::floatingPoint, FloatUnion64::IsNaN(), and x.

{
    FloatUnion64 d;
    d.floatingPoint = x;
    return d.IsNaN();
}

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IsNegative()

bool RealNumber::IsNegative ( )

virtual

Implements Number.

Definition at line 120 of file real.cpp.

References FloatUnion64::floatingPoint, FloatUnion64::IsNegative(), and x.

{
    FloatUnion64 d;
    d.floatingPoint = x;
    return d.IsNegative();
}

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IsNotImplemented()

bool RealNumber::IsNotImplemented ( )

virtual

Always returns false for real numbers.

Implements Number.

Definition at line 166 of file real.cpp.

{
    return false;
}

IsZero()

bool RealNumber::IsZero ( )

virtual

Returns true if number is zero.

Implements Number.

Definition at line 130 of file real.cpp.

References FloatUnion64::floatingPoint, FloatUnion64::IsZero(), and x.

{
    FloatUnion64 d;
    d.floatingPoint = x;
    return d.IsZero();
}

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Log()

Number * RealNumber::Log ( )

virtual

Natural logarithm function (base e) for real numbers.

See implementation of natural logarithm in log(double)

Implements Number.

Definition at line 397 of file real.cpp.

References ComplexNumber::ComplexNumber(), Number::Log(), log(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    if (x == 0.0)
        return new NonNumber(nnnan);

    if (x > 0.0)
        return new RealNumber(log(x));

    Number *n = new ComplexNumber(x, 0);
    Number *r = n->Log();
    delete n;
    return r;
}

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Log10()

Number * RealNumber::Log10 ( )

virtual

Base 10 logarithm function for real numbers.

See implementation of base 10 logarithm in log10(double)

Implements Number.

Definition at line 415 of file real.cpp.

References ComplexNumber::ComplexNumber(), log10(), Number::Log10(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    if (x == 0.0)
        return new NonNumber(nnnan);

    if (x > 0.0)
        return new RealNumber(log10(x));

    Number *n = new ComplexNumber(x, 0);
    Number *r = n->Log10();
    delete n;
    return r;
}

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Log2()

Number * RealNumber::Log2 ( )

virtual

Binary logarithm function (base 2) for real numbers.

See implementation of natural logarithm in log(double)

Implements Number.

Definition at line 378 of file real.cpp.

References ComplexNumber::ComplexNumber(), log(), Number::Log2(), nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    static const double log2value = 0.69314718055994530942;
    if (x == 0.0)
        return new NonNumber(nnnan);

    if (x > 0.0)
        return new RealNumber(log(x) / log2value);

    Number *n = new ComplexNumber(x, 0);
    Number *r = n->Log2();
    delete n;
    return r;
}

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Mul()

Number * RealNumber::Mul ( Number *  other )

virtual

Multiplication of two real numbers.

Implements Number.

Definition at line 219 of file real.cpp.

References Number::IsNaN(), Number::Mul(), nnnan, NonNumber::NonNumber(), nsysreal, RealNumber(), Number::system, and x.

Referenced by Div().

{
    if (other->IsNaN())
        return new NonNumber(nnnan);

    if (other->system == nsysreal)
    {
        RealNumber *a = static_cast<RealNumber *>(other);
        return new RealNumber(x * a->x);
    }

    return other->Mul(this);
}

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PureComplexValue()

bool RealNumber::PureComplexValue ( )

virtual

Implements Number.

Definition at line 105 of file real.cpp.

{
    return false;
}

Raise()

Number * RealNumber::Raise ( Number *  exponent )

virtual

Exponentiation function for real numbers.

See implementation in pow(double, double)

Implements Number.

Definition at line 257 of file real.cpp.

References ComplexNumber::ComplexNumber(), Number::IsNaN(), nnnan, NonNumber::NonNumber(), nsysreal, pow(), ComplexNumber::Raise(), RealNumber(), Number::system, and x.

{
    if (exponent->IsNaN())
        return new NonNumber(nnnan);

    if (exponent->system == nsysreal)
        return new RealNumber(pow(x, static_cast<RealNumber *>(exponent)->x));

    ComplexNumber *y = new ComplexNumber(x, 0.0);
    Number *q = y->Raise(exponent);
    delete y;
    return q;
}

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Reciprocal()

Number * RealNumber::Reciprocal ( )

virtual

Reciprocal function for real numbers.

Implements Number.

Definition at line 358 of file real.cpp.

References nnnan, NonNumber::NonNumber(), RealNumber(), and x.

{
    if (x != 0.0)
        return new RealNumber(1.0 / x);

    return new NonNumber(nnnan);
}

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Round()

Number * RealNumber::Round ( )

virtual

Mathematical round function for real numbers.

See implementation in round(double)

Implements Number.

Definition at line 293 of file real.cpp.

References RealNumber(), round(), and x.

{
    return new RealNumber(round(x));
}

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Secant()

Number * RealNumber::Secant ( )

virtual

Trigonometric secant function for real numbers.

See implementation of secant function in sec(double)

Implements Number.

Definition at line 460 of file real.cpp.

References nnnan, NonNumber::NonNumber(), RealNumber(), sec(), and x.

{
    double a = sec(x);
    return a != NAN
        ? (Number *)new RealNumber(a, true)
        : (Number *)new NonNumber(nnnan);
}

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SetRealValue()

void RealNumber::SetRealValue

(

double

value

)

Definition at line 100 of file real.cpp.

References x.

Referenced by PlotStatement::Execute(), and Grid::FunctionValue().

{
    x = value;
}

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Signum()

Number * RealNumber::Signum ( )

virtual

Mathematical sign function for real numbers.

See implementation in sgn(double)

Implements Number.

Definition at line 275 of file real.cpp.

References RealNumber(), and x.

{
    return new RealNumber(sgn(x));
}

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Sine()

Number * RealNumber::Sine ( )

virtual

Trigonometric sine function for real numbers.

See implementation of sine function in sin(double)

Implements Number.

Definition at line 433 of file real.cpp.

References RealNumber(), sin(), and x.

{
    return new RealNumber(sin(x), true);
}

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SquareRoot()

Number * RealNumber::SquareRoot ( )

virtual

Square root function for real numbers.

See implementation of square root in sqrt(double)

Implements Number.

Definition at line 329 of file real.cpp.

References ComplexNumber::ComplexNumber(), RealNumber(), sqrt(), Number::SquareRoot(), and x.

{
    if (x > 0.0)
        return new RealNumber(sqrt(x));

    Number *n = new ComplexNumber(x, 0);
    Number *r = n->SquareRoot();
    delete n;
    return r;
}

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Sub()

Number * RealNumber::Sub ( Number *  other )

virtual

Subtraction of two real numbers.

Implements Number.

Definition at line 199 of file real.cpp.

References Number::Add(), Number::IsNaN(), nnnan, NonNumber::NonNumber(), nsysreal, RealNumber(), Number::system, Number::Unary(), and x.

{
    if (other->IsNaN())
        return new NonNumber(nnnan);

    if (other->system == nsysreal)
    {
        RealNumber *a = static_cast<RealNumber *>(other);
        return new RealNumber(x - a->x);
    }

    Number *y = other->Unary();
    Number *q = y->Add(this);
    delete y;
    return q;
}

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Tangent()

Number * RealNumber::Tangent ( )

virtual

Trigonometric tangent function for real numbers.

See implementation of tangent function in tan(double)

Implements Number.

Definition at line 451 of file real.cpp.

References RealNumber(), tan(), and x.

{
    return new RealNumber(tan(x), true);
}

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Trunc()

Number * RealNumber::Trunc ( )

virtual

Mathematical trunc function for real numbers.

See implementation in trunc(double)

Implements Number.

Definition at line 284 of file real.cpp.

References RealNumber(), trunc(), and x.

{
    return new RealNumber(trunc(x));
}

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Unary()

Number * RealNumber::Unary ( )

virtual

Change sign of real number.

Implements Number.

Definition at line 174 of file real.cpp.

References RealNumber(), and x.

{
    return new RealNumber(-x);
}

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VerCosine()

Number * RealNumber::VerCosine ( )

virtual

Versed cosine function for real numbers.

See implementation of versed cosine in vcs(double)

Implements Number.

Definition at line 748 of file real.cpp.

References RealNumber(), vcs(), and x.

{
    return new RealNumber(vcs(x), true);
}

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VerSine()

Number * RealNumber::VerSine ( )

virtual

Versed sine function for real numbers.

See implementation of versed sine in ver(double)

Implements Number.

Definition at line 739 of file real.cpp.

References RealNumber(), ver(), and x.

{
    return new RealNumber(ver(x), true);
}

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Friends And Related Function Documentation

ComplexNumber

friend struct ComplexNumber

friend

Definition at line 140 of file real.h.

Member Data Documentation

x

double RealNumber::x

private

Definition at line 143 of file real.h.

Referenced by Absolute(), Add(), ComplexNumber::Add(), ArcChord(), ArcCosecant(), ArcCosine(), ArcCotangent(), ArcCoVerCosine(), ArcCoVerSine(), ArcExCosecant(), ArcExSecant(), ArcHaCoVerCosine(), ArcHaCoVerSine(), ArcHaVerCosine(), ArcHaVerSine(), ArcSecant(), ArcSine(), ArcTangent(), ArcVerCosine(), ArcVerSine(), Ceiling(), Chord(), Clone(), Cosecant(), Cosine(), Cotangent(), CoVerCosine(), CoVerSine(), CubeRoot(), ComplexNumber::Div(), Div(), ExCosecant(), ExSecant(), Floor(), GetIntegerValue(), GetPrecedence(), GetRealValue(), HaCoVerCosine(), HaCoVerSine(), HaVerCosine(), HaVerSine(), HypArcCosecant(), HypArcCosine(), HypArcCotangent(), HypArcSecant(), HypArcSine(), HypArcTangent(), HypCosecant(), HypCosine(), HypCotangent(), HypSecant(), HypSine(), HypTangent(), IsInfinite(), IsNaN(), IsNegative(), IsZero(), Log(), Log10(), Log2(), ComplexNumber::Mul(), Mul(), Raise(), ComplexNumber::Raise(), RealNumber(), Reciprocal(), Round(), Secant(), SetRealValue(), Signum(), Sine(), SquareRoot(), Sub(), ComplexNumber::Sub(), Tangent(), Trunc(), Unary(), VerCosine(), and VerSine().

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

• src/lib/real.h
• src/lib/real.cpp