PointWithDescription¶

class PointWithDescription(*args)¶

Collection of real values with a description for each component.

Available constructors:

PointWithDescription(size=0, value=0.0)

PointWithDescription(sequence)

Parameters:

sizeint, $size \geq 0$: Size of the vector.
valuefloat: Value set to the size elements.
sequencesequence of pair (string, float): Components of the vector.

Methods

`add`(*args)	Append a component (in-place).
`at`(*args)	Access to an element of the collection.
`clear`()	Reset the collection to zero dimension.
`dot`(rhs)	Compute the scalar product.
`find`(val)	Find the index of a given value.
`getClassName`()	Accessor to the object's name.
`getDescription`()	Accessor to the componentwise description.
`getDimension`()	Accessor to the vector's dimension.
`getName`()	Accessor to the object's name.
`getSize`()	Accessor to the vector's dimension (or size).
`hasName`()	Test if the object is named.
`isDecreasing`()	Check if the components are in decreasing order.
`isEmpty`()	Tell if the collection is empty.
`isIncreasing`()	Check if the components are in increasing order.
`isMonotonic`()	Check if the components are in nonincreasing or nondecreasing order.
`isNonDecreasing`()	Check if the components are in nondecreasing order.
`isNonIncreasing`()	Check if the components are in nonincreasing order.
`norm`()	Compute the Euclidean ( $L^2$ ) norm.
`norm1`()	Compute the $L^1$ norm.
`normInf`()	Compute the $L^{\inf}$ norm.
`normSquare`()	Compute the squared Euclidean norm.
`normalize`()	Compute the normalized vector with respect to its Euclidean norm.
`normalizeSquare`()	Compute the normalized vector with respect to its squared Euclidean norm.
`resize`(newSize)	Change the size of the collection.
`select`(marginalIndices)	Selection from indices.
`setDescription`(description)	Accessor to the componentwise description.
`setName`(name)	Accessor to the object's name.

Examples

>>> import openturns as ot

Use the first constructor:

>>> print(ot.PointWithDescription(2))
[ : 0,  : 0]
>>> vector = ot.PointWithDescription(2, 3.0)
>>> print(vector)
[ : 3,  : 3]
>>> vector.setDescription(['c1', 'c2'])
>>> print(vector)
[c1 : 3, c2 : 3]

Use the second constructor:

>>> vector = ot.PointWithDescription([('C1', 2.0), ('C2', 3.0), ('C3', 4.5)])
>>> print(vector)
[C1 : 2, C2 : 3, C3 : 4.5]
>>> print(vector.getDescription())
[C1,C2,C3]

Use some functionalities:

>>> vector[1] = 7.1
>>> print(vector)
[C1 : 2, C2 : 7.1, C3 : 4.5]
>>> vector.add(6.2)
>>> print(vector)
[C1 : 2, C2 : 7.1, C3 : 4.5,  : 6.2]

__init__(*args)¶

add(*args)¶

Append a component (in-place).

Parameters:

valuetype depends on the type of the collection.: The component to append.

Examples

>>> import openturns as ot
>>> x = ot.Point(2)
>>> x.add(1.)
>>> print(x)
[0,0,1]

at(*args)¶

Access to an element of the collection.

Parameters:

indexpositive int: Position of the element to access.

Returns:

elementtype depends on the type of the collection: Element of the collection at the position index.

clear()¶

Reset the collection to zero dimension.

Examples

>>> import openturns as ot
>>> x = ot.Point(2)
>>> x.clear()
>>> x
class=Point name=Unnamed dimension=0 values=[]

dot(rhs)¶

Compute the scalar product.

Parameters:

pointsequence of float: Scalar product second argument

Returns:

dotfloat: Scalar product

Examples

>>> import openturns as ot
>>> x = ot.Point([1.0, 2.0, 3.0])
>>> prod = x.dot([4, 5, 6])

find(val)¶

Find the index of a given value.

Parameters:

valcollection value type: The value to find

Returns:

indexint: The index of the first occurrence of the value, or the size of the container if not found. When several values match, only the first index is returned.

getClassName()¶

Accessor to the object’s name.

Returns:

class_namestr: The object class name (object.__class__.__name__).

getDescription()¶

Accessor to the componentwise description.

Returns:

descriptionDescription: Description of the components.

See also

setDescription

getDimension()¶

Accessor to the vector’s dimension.

Returns:

nint: The number of components in the vector.

getName()¶

Accessor to the object’s name.

Returns:

namestr: The name of the object.

getSize()¶

Accessor to the vector’s dimension (or size).

Returns:

nint: The number of components in the vector.

hasName()¶

Test if the object is named.

Returns:

hasNamebool: True if the name is not empty.

isDecreasing()¶

Check if the components are in decreasing order.

Examples

>>> import openturns as ot
>>> x = ot.Point([3.0, 2.0, 1.0])
>>> x.isDecreasing()
True
>>> x = ot.Point([3.0, 3.0, 1.0])
>>> x.isDecreasing()
False
>>> x = ot.Point([1.0, 3.0, 2.0])
>>> x.isIncreasing()
False

isEmpty()¶

Tell if the collection is empty.

Returns:

isEmptybool: True if there is no element in the collection.

Examples

>>> import openturns as ot
>>> x = ot.Point(2)
>>> x.isEmpty()
False
>>> x.clear()
>>> x.isEmpty()
True

isIncreasing()¶

Check if the components are in increasing order.

Examples

>>> import openturns as ot
>>> x = ot.Point([1.0, 2.0, 3.0])
>>> x.isIncreasing()
True
>>> x = ot.Point([1.0, 1.0, 3.0])
>>> x.isIncreasing()
False
>>> x = ot.Point([1.0, 3.0, 2.0])
>>> x.isIncreasing()
False

isMonotonic()¶

Check if the components are in nonincreasing or nondecreasing order.

Examples

>>> import openturns as ot
>>> x = ot.Point([1.0, 2.0, 3.0])
>>> x.isMonotonic()
True
>>> x = ot.Point([2.0, 2.0, 1.0])
>>> x.isMonotonic()
True
>>> x = ot.Point([1.0, 3.0, 2.0])
>>> x.isMonotonic()
False

isNonDecreasing()¶

Check if the components are in nondecreasing order.

Examples

>>> import openturns as ot
>>> x = ot.Point([1.0, 2.0, 3.0])
>>> x.isNonDecreasing()
True
>>> x = ot.Point([1.0, 1.0, 3.0])
>>> x.isNonDecreasing()
True
>>> x = ot.Point([1.0, 3.0, 2.0])
>>> x.isNonDecreasing()
False

isNonIncreasing()¶

Check if the components are in nonincreasing order.

Examples

>>> import openturns as ot
>>> x = ot.Point([3.0, 2.0, 1.0])
>>> x.isNonIncreasing()
True
>>> x = ot.Point([3.0, 3.0, 1.0])
>>> x.isNonIncreasing()
True
>>> x = ot.Point([1.0, 3.0, 2.0])
>>> x.isNonIncreasing()
False

norm()¶

Compute the Euclidean ( $L^2$ ) norm.

The Euclidean ( $L^2$ ) norm of a vector is defined as:

$\norm{\vect{x}} = \norm{\vect{x}}_2 = \sqrt{\sum_{i=1}^n x_i^2}$

Returns:

normfloat: The vector’s Euclidean norm.

Examples

>>> import openturns as ot
>>> x = ot.Point([1.0, 2.0, 3.0])
>>> x.norm()
3.741657...

norm1()¶

Compute the $L^1$ norm.

The $L^1$ norm of a vector is defined as:

$\norm{\vect{x}}_1 = \sum_{i=1}^n |x_i|$

Returns:

normfloat: The vector’s $L^1$ norm.

Examples

>>> import openturns as ot
>>> x = ot.Point([1.0, 2.0, 3.0])
>>> x.norm1()
6.0

normInf()¶

Compute the $L^{\inf}$ norm.

The $L^{\inf}$ norm of a vector is defined as:

$\norm{\vect{x}}_{\inf} = \max_{i=1}^n |x_i|$

Returns:

normfloat: The vector’s $L^{\inf}$ norm.

Examples

>>> import openturns as ot
>>> x = ot.Point([1.0, 2.0, 3.0])
>>> x.normInf()
3.0

normSquare()¶

Compute the squared Euclidean norm.

Returns:

normfloat: The vector’s squared Euclidean norm.

See also

norm

Examples

>>> import openturns as ot
>>> x = ot.Point([1.0, 2.0, 3.0])
>>> x.normSquare()
14.0

normalize()¶

Compute the normalized vector with respect to its Euclidean norm.

Returns:

normalized_vectorPoint: The normalized vector with respect to its Euclidean norm.

Raises:

RuntimeErrorIf the Euclidean norm is zero.

See also

norm

Examples

>>> import openturns as ot
>>> x = ot.Point([1.0, 2.0, 3.0])
>>> print(x.normalize())
[0.267261,0.534522,0.801784]

normalizeSquare()¶

Compute the normalized vector with respect to its squared Euclidean norm.

Returns:

normalized_vectornormalized_vectorPoint: The normalized vector with respect to its squared Euclidean norm.

Raises:

RuntimeErrorIf the squared Euclidean norm is zero.

See also

normSquare

Examples

>>> import openturns as ot
>>> x = ot.Point([1.0, 2.0, 3.0])
>>> print(x.normalizeSquare())
[0.0714286,0.285714,0.642857]

resize(newSize)¶

Change the size of the collection.

Parameters:

newSizepositive int: New size of the collection.

Notes

If the new size is smaller than the older one, the last elements are thrown away, else the new elements are set to the default value of the element type.

Examples

>>> import openturns as ot
>>> x = ot.Point(2, 4)
>>> print(x)
[4,4]
>>> x.resize(1)
>>> print(x)
[4]
>>> x.resize(4)
>>> print(x)
[4,0,0,0]

select(marginalIndices)¶

Selection from indices.

Parameters:

indicessequence of int: Indices to select

Returns:

collsequence: Sub-collection of values at the selection indices.

setDescription(description)¶

Accessor to the componentwise description.

Parameters:

descriptionsequence of str: Description of the components.

setName(name)¶

Accessor to the object’s name.

Parameters:

namestr: The name of the object.

Examples using the class¶

Analyse the central tendency of a cantilever beam

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An Open source initiative for the Treatment of Uncertainties, Risks'N Statistics

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PointWithDescription¶

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