A memory-efficient pure-real quaternion with component values of type unsigned long. More...

Inheritance diagram for CDPL.Math.ULRealQuaternion:

Public Member Functions
None	__init__ ()
	Constructs a zero-valued real quaternion (C1 = 0).

None	__init__ (ULRealQuaternion q)
	Constructs a copy of the real quaternion q (possibly converting the component type). More...

None	__init__ (int r)
	Constructs the real quaternion with the supplied real component. More...

ULRealQuaternion	set (int r=0)
	Assigns the scalar r to the real component. More...

int	getObjectID ()
	Returns the numeric identifier (ID) of the wrapped C++ class instance. More...

int	getC1 ()
	Returns the real component C1. More...

int	getC2 ()
	Returns the imaginary component C2 (always zero for a real quaternion). More...

int	getC3 ()
	Returns the imaginary component C3 (always zero for a real quaternion). More...

int	getC4 ()
	Returns the imaginary component C4 (always zero for a real quaternion). More...

object	toArray ()
	Converts the `ULRealQuaternion` instance into a corresponding `numpy.ndarray` object. More...

ULRealQuaternion	assign (ULRealQuaternion q)
	Copy-assigns the real component from q. More...

None	swap (ULRealQuaternion q)
	Swaps the real component value with q. More...

ULRealQuaternion	__iadd__ (int t)
	Adds the scalar t to the real component. More...

ULRealQuaternion	__iadd__ (object q)
	Adds the real component of q to this quaternion's real component. More...

ULRealQuaternion	__isub__ (int t)
	Subtracts the scalar t from the real component. More...

ULRealQuaternion	__isub__ (object q)
	Subtracts the real component of q from this quaternion's real component. More...

ULRealQuaternion	__imul__ (int t)
	Multiplies the real component by the scalar t. More...

ULRealQuaternion	__imul__ (object q)
	Multiplies the real component by the real component of q. More...

ULRealQuaternion	__idiv__ (int t)
	Divides the real component by the scalar t. More...

ULRealQuaternion	__idiv__ (object q)
	Divides the real component by the real component of q. More...

ULRealQuaternion	__itruediv__ (int t)
	Divides the real component by the scalar t. More...

ULRealQuaternion	__itruediv__ (object q)
	Divides the real component by the real component of q. More...

bool	__eq__ (ULRealQuaternion q)
	Returns the result of the comparison operation `self == q`. More...

bool	__eq__ (ConstULQuaternionExpression q)
	Returns the result of the comparison operation `self == q`. More...

bool	__ne__ (ULRealQuaternion q)
	Returns the result of the comparison operation `self != q`. More...

bool	__ne__ (ConstULQuaternionExpression q)
	Returns the result of the comparison operation `self != q`. More...

str	__str__ ()
	Returns a string representation of the `ULRealQuaternion` instance. More...

ULRealQuaternion	__pos__ ()
	Returns self. More...

ConstULQuaternionExpression	__neg__ ()
	Returns the result of the operation `self * -1`. More...

ConstULQuaternionExpression	__add__ (int t)
	Returns the result of the addition operation `self + t`. More...

ConstULQuaternionExpression	__add__ (ConstULQuaternionExpression e)
	Returns the result of the addition operation `self + e`. More...

ConstULQuaternionExpression	__radd__ (int t)
	Returns the result of the addition operation `t + self`. More...

ConstULQuaternionExpression	__sub__ (int t)
	Returns the result of the subtraction operation `self - t`. More...

ConstULQuaternionExpression	__sub__ (ConstULQuaternionExpression e)
	Returns the result of the subtraction operation `self - e`. More...

ConstULQuaternionExpression	__rsub__ (int t)
	Returns the result of the subtraction operation `t - self`. More...

ConstULQuaternionExpression	__mul__ (int t)
	Returns the result of the multiplication operation `self * t`. More...

ConstULQuaternionExpression	__mul__ (ConstULQuaternionExpression e)
	Returns the result of the multiplication operation `self * e`. More...

ConstULQuaternionExpression	__rmul__ (int t)
	Returns the result of the multiplication operation `t * self`. More...

ConstULQuaternionExpression	__div__ (int t)
	Returns the result of the division operation `self // t`. More...

ConstULQuaternionExpression	__div__ (ConstULQuaternionExpression e)
	Returns the result of the division operation `self // e`. More...

ConstULQuaternionExpression	__truediv__ (int t)
	Returns the result of the true division operation `self / t`. More...

ConstULQuaternionExpression	__rdiv__ (int t)
	Returns the result of the division operation `t // self`. More...

Properties
	objectID = property(getObjectID)

Detailed Description

A memory-efficient pure-real quaternion with component values of type unsigned long.

Constructor & Destructor Documentation

◆ init() [1/2]

None CDPL.Math.ULRealQuaternion.__init__ ( ULRealQuaternion q )

Constructs a copy of the real quaternion q (possibly converting the component type).

Parameters

q	The real quaternion to copy.

◆ init() [2/2]

None CDPL.Math.ULRealQuaternion.__init__ ( int r )

Constructs the real quaternion with the supplied real component.

Parameters

r	The real component value.

Member Function Documentation

◆ set()

ULRealQuaternion CDPL.Math.ULRealQuaternion.set ( int r = 0 )

Assigns the scalar r to the real component.

Parameters

r	The scalar value.

Returns: self.

◆ getObjectID()

int CDPL.Math.ULRealQuaternion.getObjectID ( )

Returns the numeric identifier (ID) of the wrapped C++ class instance.

Different Python ULRealQuaternion instances may reference the same underlying C++ class instance. The commonly used Python expression a is not b thus cannot tell reliably whether the two ULRealQuaternion instances a and b reference different C++ objects. The numeric identifier returned by this method allows to correctly implement such an identity test via the simple expression a.getObjectID() != b.getObjectID().

Returns: The numeric ID of the internally referenced C++ class instance.

◆ getC1()

int CDPL.Math.ULRealQuaternion.getC1 ( )

Returns the real component C1.

Returns: The value of C1.

◆ getC2()

int CDPL.Math.ULRealQuaternion.getC2 ( )

Returns the imaginary component C2 (always zero for a real quaternion).

Returns: The zero element.

◆ getC3()

int CDPL.Math.ULRealQuaternion.getC3 ( )

Returns the imaginary component C3 (always zero for a real quaternion).

Returns: The zero element.

◆ getC4()

int CDPL.Math.ULRealQuaternion.getC4 ( )

Returns the imaginary component C4 (always zero for a real quaternion).

Returns: The zero element.

◆ toArray()

object CDPL.Math.ULRealQuaternion.toArray ( )

Converts the ULRealQuaternion instance into a corresponding numpy.ndarray object.

Returns: The generated numpy.ndarray object.

See also: [NUMPY]

◆ assign()

ULRealQuaternion CDPL.Math.ULRealQuaternion.assign ( ULRealQuaternion q )

Copy-assigns the real component from q.

Parameters

q	The source real quaternion.

Returns: self.

◆ swap()

None CDPL.Math.ULRealQuaternion.swap ( ULRealQuaternion q )

Swaps the real component value with q.

Parameters

q	The real quaternion to swap with.

◆ iadd() [1/2]

ULRealQuaternion CDPL.Math.ULRealQuaternion.__iadd__ ( int t )

Adds the scalar t to the real component.

Parameters

t	The scalar addend.

Returns: self.

◆ iadd() [2/2]

ULRealQuaternion CDPL.Math.ULRealQuaternion.__iadd__ ( object q )

Adds the real component of q to this quaternion's real component.

Parameters

q	The source real quaternion.

Returns: self.

◆ isub() [1/2]

ULRealQuaternion CDPL.Math.ULRealQuaternion.__isub__ ( int t )

Subtracts the scalar t from the real component.

Parameters

t	The scalar subtrahend.

Returns: self.

◆ isub() [2/2]

ULRealQuaternion CDPL.Math.ULRealQuaternion.__isub__ ( object q )

Subtracts the real component of q from this quaternion's real component.

Parameters

q	The source real quaternion.

Returns: self.

◆ imul() [1/2]

ULRealQuaternion CDPL.Math.ULRealQuaternion.__imul__ ( int t )

Multiplies the real component by the scalar t.

Parameters

t	The scalar multiplier.

Returns: self.

◆ imul() [2/2]

ULRealQuaternion CDPL.Math.ULRealQuaternion.__imul__ ( object q )

Multiplies the real component by the real component of q.

Parameters

q	The source real quaternion.

Returns: self.

◆ idiv() [1/2]

ULRealQuaternion CDPL.Math.ULRealQuaternion.__idiv__ ( int t )

Divides the real component by the scalar t.

Parameters

t	The scalar divisor.

Returns: self.

◆ idiv() [2/2]

ULRealQuaternion CDPL.Math.ULRealQuaternion.__idiv__ ( object q )

Divides the real component by the real component of q.

Parameters

q	The source real quaternion.

Returns: self.

◆ itruediv() [1/2]

ULRealQuaternion CDPL.Math.ULRealQuaternion.__itruediv__ ( int t )

Divides the real component by the scalar t.

Parameters

t	The scalar divisor.

Returns: self.

◆ itruediv() [2/2]

ULRealQuaternion CDPL.Math.ULRealQuaternion.__itruediv__ ( object q )

Divides the real component by the real component of q.

Parameters

q	The source real quaternion.

Returns: self.

◆ eq() [1/2]

bool CDPL.Math.ULRealQuaternion.__eq__ ( ULRealQuaternion q )

Returns the result of the comparison operation self == q.

Parameters

q	The `ULRealQuaternion` instance to be compared with.

Returns: The result of the comparison operation.

◆ eq() [2/2]

bool CDPL.Math.ULRealQuaternion.__eq__ ( ConstULQuaternionExpression q )

Returns the result of the comparison operation self == q.

Parameters

q	The `ConstULQuaternionExpression` instance to be compared with.

Returns: The result of the comparison operation.

◆ ne() [1/2]

bool CDPL.Math.ULRealQuaternion.__ne__ ( ULRealQuaternion q )

Returns the result of the comparison operation self != q.

Parameters

q	The `ULRealQuaternion` instance to be compared with.

Returns: The result of the comparison operation.

◆ ne() [2/2]

bool CDPL.Math.ULRealQuaternion.__ne__ ( ConstULQuaternionExpression q )

Returns the result of the comparison operation self != q.

Parameters

q	The `ConstULQuaternionExpression` instance to be compared with.

Returns: The result of the comparison operation.

◆ str()

str CDPL.Math.ULRealQuaternion.__str__ ( )

Returns a string representation of the ULRealQuaternion instance.

Returns: The generated string representation.

◆ pos()

ULRealQuaternion CDPL.Math.ULRealQuaternion.__pos__ ( )

Returns self.

Returns: self.

◆ neg()

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__neg__ ( )

Returns the result of the operation self * -1.

Returns: A ConstULQuaternionExpression instance holding the result of the element negation.

◆ add() [1/2]

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__add__ ( int t )

Returns the result of the addition operation self + t.

Parameters

t	Specifies the second addend.

Returns: A ConstULQuaternionExpression instance holding the result of the addition.

◆ add() [2/2]

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__add__ ( ConstULQuaternionExpression e )

Returns the result of the addition operation self + e.

Parameters

e	Specifies the second addend.

Returns: A ConstULQuaternionExpression instance holding the result of the addition.

◆ radd()

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__radd__ ( int t )

Returns the result of the addition operation t + self.

Parameters

t	Specifies the first addend.

Returns: A ConstULQuaternionExpression instance holding the result of the addition.

◆ sub() [1/2]

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__sub__ ( int t )

Returns the result of the subtraction operation self - t.

Parameters

t	Specifies the subtrahend.

Returns: A ULRealQuaternion instance holding the result of the subtraction.

◆ sub() [2/2]

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__sub__ ( ConstULQuaternionExpression e )

Returns the result of the subtraction operation self - e.

Parameters

e	Specifies the subtrahend.

Returns: A ULRealQuaternion instance holding the result of the subtraction.

◆ rsub()

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__rsub__ ( int t )

Returns the result of the subtraction operation t - self.

Parameters

t	Specifies the minuend.

Returns: A ULRealQuaternion instance holding the result of the subtraction.

◆ mul() [1/2]

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__mul__ ( int t )

Returns the result of the multiplication operation self * t.

Parameters

t	Specifies the multiplier.

Returns: A ConstULQuaternionExpression instance holding the result of the multiplication.

◆ mul() [2/2]

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__mul__ ( ConstULQuaternionExpression e )

Returns the result of the multiplication operation self * e.

Parameters

e	Specifies the multiplier.

Returns: A ConstULQuaternionExpression instance holding the result of the multiplication.

◆ rmul()

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__rmul__ ( int t )

Returns the result of the multiplication operation t * self.

Parameters

t	Specifies the multiplicand.

Returns: A ConstULQuaternionExpression instance holding the result of the multiplication.

◆ div() [1/2]

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__div__ ( int t )

Returns the result of the division operation self // t.

Parameters

t	Specifies the divisor.

Returns: A ConstULQuaternionExpression instance holding the result of the division.

◆ div() [2/2]

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__div__ ( ConstULQuaternionExpression e )

Returns the result of the division operation self // e.

Parameters

e	Specifies the divisor.

Returns: A ConstULQuaternionExpression instance holding the result of the division.

◆ truediv()

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__truediv__ ( int t )

Returns the result of the true division operation self / t.

Parameters

t	Specifies the divisor.

Returns: A ConstULQuaternionExpression instance holding the result of the division.

◆ rdiv()

ConstULQuaternionExpression CDPL.Math.ULRealQuaternion.__rdiv__ ( int t )

Returns the result of the division operation t // self.

Parameters

t	Specifies the dividend.

Returns: A ConstULQuaternionExpression instance holding the result of the division.

Public Member Functions

Properties

Detailed Description

Constructor & Destructor Documentation

◆ __init__() [1/2]

◆ __init__() [2/2]

Member Function Documentation

◆ set()

◆ getObjectID()

◆ getC1()

◆ getC2()

◆ getC3()

◆ getC4()

◆ toArray()

◆ assign()

◆ swap()

◆ __iadd__() [1/2]

◆ __iadd__() [2/2]

◆ __isub__() [1/2]

◆ __isub__() [2/2]

◆ __imul__() [1/2]

◆ __imul__() [2/2]

◆ __idiv__() [1/2]

◆ __idiv__() [2/2]

◆ __itruediv__() [1/2]

◆ __itruediv__() [2/2]

◆ __eq__() [1/2]

◆ __eq__() [2/2]

◆ __ne__() [1/2]

◆ __ne__() [2/2]

◆ __str__()

◆ __pos__()

◆ __neg__()

◆ __add__() [1/2]

◆ __add__() [2/2]

◆ __radd__()

◆ __sub__() [1/2]

◆ __sub__() [2/2]

◆ __rsub__()

◆ __mul__() [1/2]

◆ __mul__() [2/2]

◆ __rmul__()

◆ __div__() [1/2]

◆ __div__() [2/2]

◆ __truediv__()

◆ __rdiv__()

◆ init() [1/2]

◆ init() [2/2]

◆ iadd() [1/2]

◆ iadd() [2/2]

◆ isub() [1/2]

◆ isub() [2/2]

◆ imul() [1/2]

◆ imul() [2/2]

◆ idiv() [1/2]

◆ idiv() [2/2]

◆ itruediv() [1/2]

◆ itruediv() [2/2]

◆ eq() [1/2]

◆ eq() [2/2]

◆ ne() [1/2]

◆ ne() [2/2]

◆ str()

◆ pos()

◆ neg()

◆ add() [1/2]

◆ add() [2/2]

◆ radd()

◆ sub() [1/2]

◆ sub() [2/2]

◆ rsub()

◆ mul() [1/2]

◆ mul() [2/2]

◆ rmul()

◆ div() [1/2]

◆ div() [2/2]

◆ truediv()

◆ rdiv()