Numworks Epsilon  1.4.1
Graphing Calculator Operating System
Poincare::Rational Class Reference

#include <rational.h>

Inheritance diagram for Poincare::Rational:
Poincare::StaticHierarchy< 0 > Poincare::Expression

Public Member Functions

 Rational (const Integer numerator, const Integer denominator)
 
 Rational (const Integer numerator)
 
 Rational (Integer::native_int_t i)
 
 Rational (Integer::native_int_t i, Integer::native_int_t j)
 
 Rational (const Rational &other)
 
Rationaloperator= (const Rational &other)
 
const Integer numerator () const
 
const Integer denominator () const
 
Type type () const override
 
Expressionclone () const override
 
Sign sign () const override
 
ExpressioncloneDenominator (Context &context, AngleUnit angleUnit) const override
 
bool isZero () const
 
bool isOne () const
 
bool isMinusOne () const
 
bool isHalf () const
 
bool isMinusHalf () const
 
bool isTen () const
 
template<typename T >
Complex< T > * templatedApproximate (Context &context, Expression::AngleUnit angleUnit) const
 
- Public Member Functions inherited from Poincare::StaticHierarchy< 0 >
 StaticHierarchy ()
 
 StaticHierarchy (const Expression *const *operands, bool cloneOperands=true)
 
 StaticHierarchy (const Expression *expression, bool cloneOperands=true)
 
 StaticHierarchy (const Expression *expression1, const Expression *expression2, bool cloneOperands=true)
 
 StaticHierarchy (const StaticHierarchy &other)=delete
 
 StaticHierarchy (StaticHierarchy &&other)=delete
 
 StaticHierarchy (const Expression *e, bool cloneOperands)
 
 StaticHierarchy (const Expression *e1, const Expression *e2, bool cloneOperands)
 
 ~StaticHierarchy ()
 
StaticHierarchyoperator= (const StaticHierarchy &other)=delete
 
StaticHierarchyoperator= (StaticHierarchy &&other)=delete
 
virtual void setArgument (ListData *listData, int numberOfEntries, bool clone)
 
int numberOfOperands () const override
 
const Expression *const * operands () const override
 
virtual bool hasValidNumberOfOperands (int numberOfOperands) const
 
- Public Member Functions inherited from Poincare::Expression
virtual ~Expression ()=default
 
const Expressionoperand (int i) const
 
ExpressioneditableOperand (int i)
 
ExpressionreplaceWith (Expression *newOperand, bool deleteAfterReplace=true)
 
void replaceOperand (const Expression *oldOperand, Expression *newOperand, bool deleteOldOperand=true)
 
void detachOperand (const Expression *e)
 
void detachOperands ()
 
void swapOperands (int i, int j)
 
Expressionparent () const
 
void setParent (Expression *parent)
 
bool hasAncestor (const Expression *e) const
 
bool recursivelyMatches (ExpressionTest test, Context &context) const
 
bool isApproximate (Context &context) const
 
virtual float characteristicXRange (Context &context, AngleUnit angleUnit=AngleUnit::Default) const
 
virtual int polynomialDegree (char symbolName) const
 
bool isIdenticalTo (const Expression *e) const
 
ExpressionLayoutcreateLayout (PrintFloat::Mode floatDisplayMode=PrintFloat::Mode::Default, ComplexFormat complexFormat=ComplexFormat::Default) const
 
template<typename T >
Expressionapproximate (Context &context, AngleUnit angleUnit=AngleUnit::Default) const
 
template<typename T >
T approximateToScalar (Context &context, AngleUnit angleUnit=AngleUnit::Default) const
 

Static Public Member Functions

static Rational Addition (const Rational &i, const Rational &j)
 
static Rational Multiplication (const Rational &i, const Rational &j)
 
static Rational Power (const Rational &i, const Integer &j)
 
static int NaturalOrder (const Rational &i, const Rational &j)
 
- Static Public Member Functions inherited from Poincare::Expression
static Expressionparse (char const *string)
 
static void ReplaceSymbolWithExpression (Expression **expressionAddress, char symbol, Expression *expression)
 
static void setCircuitBreaker (CircuitBreaker cb)
 
static bool shouldStopProcessing ()
 
static bool IsMatrix (const Expression *e, Context &context)
 
static ExpressionParseAndSimplify (const char *text, Context &context, AngleUnit angleUnit=AngleUnit::Default)
 
static void Simplify (Expression **expressionAddress, Context &context, AngleUnit angleUnit=AngleUnit::Default)
 
template<typename T >
static T approximateToScalar (const char *text, Context &context, AngleUnit angleUnit=AngleUnit::Default)
 

Friends

class Power
 
class Multiplication
 

Additional Inherited Members

- Public Types inherited from Poincare::Expression
enum  Type : uint8_t {
  Type::Undefined = 0, Type::Rational = 1, Type::Decimal, Type::Multiplication,
  Type::Power, Type::Addition, Type::Factorial, Type::Division,
  Type::Store, Type::Sine, Type::Cosine, Type::Tangent,
  Type::AbsoluteValue, Type::ArcCosine, Type::ArcSine, Type::ArcTangent,
  Type::BinomialCoefficient, Type::Ceiling, Type::ComplexArgument, Type::Conjugate,
  Type::Derivative, Type::Determinant, Type::DivisionQuotient, Type::DivisionRemainder,
  Type::Factor, Type::Floor, Type::FracPart, Type::GreatCommonDivisor,
  Type::HyperbolicArcCosine, Type::HyperbolicArcSine, Type::HyperbolicArcTangent, Type::HyperbolicCosine,
  Type::HyperbolicSine, Type::HyperbolicTangent, Type::ImaginaryPart, Type::Integral,
  Type::LeastCommonMultiple, Type::Logarithm, Type::MatrixTrace, Type::NaperianLogarithm,
  Type::NthRoot, Type::Opposite, Type::Parenthesis, Type::PermuteCoefficient,
  Type::Product, Type::Random, Type::Randint, Type::RealPart,
  Type::Round, Type::SquareRoot, Type::Subtraction, Type::Sum,
  Type::Symbol, Type::Complex, Type::Matrix, Type::ConfidenceInterval,
  Type::MatrixDimension, Type::MatrixInverse, Type::MatrixTranspose, Type::PredictionInterval,
  Type::SimplificationRoot
}
 
enum  ComplexFormat { ComplexFormat::Cartesian = 0, ComplexFormat::Polar = 1, ComplexFormat::Default = 2 }
 
enum  AngleUnit { AngleUnit::Degree = 0, AngleUnit::Radian = 1, AngleUnit::Default = 2 }
 
enum  Sign { Sign::Negative = -1, Sign::Unknown = 0, Sign::Positive = 1 }
 
typedef bool(* CircuitBreaker) ()
 
typedef bool(* ExpressionTest) (const Expression *e, Context &context)
 
- Protected Types inherited from Poincare::Expression
typedef float SinglePrecision
 
typedef double DoublePrecision
 
- Protected Member Functions inherited from Poincare::StaticHierarchy< 0 >
void build (const Expression *const *operands, int numberOfOperands, bool cloneOperands)
 
int simplificationOrderSameType (const Expression *e, bool canBeInterrupted) const override
 
- Protected Member Functions inherited from Poincare::Expression
 Expression ()
 
void detachOperandAtIndex (int i)
 
- Static Protected Member Functions inherited from Poincare::Expression
template<typename T >
static T epsilon ()
 
static int SimplificationOrder (const Expression *e1, const Expression *e2, bool canBeInterrupted=false)
 
- Protected Attributes inherited from Poincare::StaticHierarchy< 0 >
const Expressionm_operands [T]
 
- Static Protected Attributes inherited from Poincare::Expression
static constexpr int k_maxNumberOfSteps = 10000
 

Detailed Description

Definition at line 10 of file rational.h.

Constructor & Destructor Documentation

◆ Rational() [1/5]

Poincare::Rational::Rational ( const Integer  numerator,
const Integer  denominator 
)

Definition at line 17 of file rational.cpp.

◆ Rational() [2/5]

Poincare::Rational::Rational ( const Integer  numerator)

Definition at line 37 of file rational.cpp.

◆ Rational() [3/5]

Poincare::Rational::Rational ( Integer::native_int_t  i)
inline

Definition at line 17 of file rational.h.

◆ Rational() [4/5]

Poincare::Rational::Rational ( Integer::native_int_t  i,
Integer::native_int_t  j 
)
inline

Definition at line 18 of file rational.h.

◆ Rational() [5/5]

Poincare::Rational::Rational ( const Rational other)

Definition at line 42 of file rational.cpp.

Member Function Documentation

◆ Addition()

Rational Poincare::Rational::Addition ( const Rational i,
const Rational j 
)
static

Definition at line 104 of file rational.cpp.

◆ clone()

Expression * Poincare::Rational::clone ( ) const
overridevirtual

Implements Poincare::Expression.

Definition at line 68 of file rational.cpp.

◆ cloneDenominator()

Expression * Poincare::Rational::cloneDenominator ( Context context,
AngleUnit  angleUnit 
) const
overridevirtual

Reimplemented from Poincare::Expression.

Definition at line 95 of file rational.cpp.

◆ denominator()

const Integer Poincare::Rational::denominator ( ) const

Definition at line 59 of file rational.cpp.

◆ isHalf()

bool Poincare::Rational::isHalf ( ) const
inline

Definition at line 35 of file rational.h.

◆ isMinusHalf()

bool Poincare::Rational::isMinusHalf ( ) const
inline

Definition at line 36 of file rational.h.

◆ isMinusOne()

bool Poincare::Rational::isMinusOne ( ) const
inline

Definition at line 34 of file rational.h.

◆ isOne()

bool Poincare::Rational::isOne ( ) const
inline

Definition at line 33 of file rational.h.

◆ isTen()

bool Poincare::Rational::isTen ( ) const
inline

Definition at line 37 of file rational.h.

◆ isZero()

bool Poincare::Rational::isZero ( ) const
inline

Definition at line 32 of file rational.h.

◆ Multiplication()

Rational Poincare::Rational::Multiplication ( const Rational i,
const Rational j 
)
static

Definition at line 110 of file rational.cpp.

◆ NaturalOrder()

int Poincare::Rational::NaturalOrder ( const Rational i,
const Rational j 
)
static

Definition at line 127 of file rational.cpp.

◆ numerator()

const Integer Poincare::Rational::numerator ( ) const

Definition at line 55 of file rational.cpp.

◆ operator=()

Rational & Poincare::Rational::operator= ( const Rational other)

Definition at line 47 of file rational.cpp.

◆ Power()

Rational Poincare::Rational::Power ( const Rational i,
const Integer j 
)
static

Definition at line 116 of file rational.cpp.

◆ sign()

Expression::Sign Poincare::Rational::sign ( ) const
overridevirtual

Reimplemented from Poincare::Expression.

Definition at line 72 of file rational.cpp.

◆ templatedApproximate()

template<typename T >
Complex<T>* Poincare::Rational::templatedApproximate ( Context context,
Expression::AngleUnit  angleUnit 
) const

Definition at line 141 of file rational.cpp.

◆ type()

Expression::Type Poincare::Rational::type ( ) const
overridevirtual

Implements Poincare::Expression.

Definition at line 64 of file rational.cpp.

Friends And Related Function Documentation

◆ Multiplication

friend class Multiplication
friend

Definition at line 12 of file rational.h.

◆ Power

friend class Power
friend

Definition at line 11 of file rational.h.


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