Indices

class Indices(*args)

Collection of unsigned integers.

Available constructors:

Indices(size=0, value=0)

Indices(sequence)

Parameters:
sizeint, size \geq 0

Size of the collection.

valuepositive int

Value set to the size elements.

sequencesequence of int

Components of the vector.

Examples

>>> import openturns as ot

Use the first constructor:

>>> ot.Indices(3)
[0,0,0]
>>> ot.Indices(3, 4)
[4,4,4]

Use the second constructor:

>>> vector = ot.Indices([100, 30, 70])
>>> vector
[100,30,70]

Use some functionalities:

>>> vector[1] = 20
>>> vector
[100,20,70]
>>> vector.add(50)
>>> vector
[100,20,70,50]

The Indices class has a method that can search for an element and return True if the element is in the indices, and False otherwise. We can access to it using the in keyword.

>>> indices = ot.Indices([3, 5, 7, 9])
>>> print(0 in indices)
False
>>> print(3 in indices)
True

Methods

add(*args)

Append a component (in-place).

at(*args)

Access to an element of the collection.

check(bound)

Check that no value is repeated and no value exceeds the given bound.

clear()

Reset the collection to zero dimension.

complement(n)

Build the complement of the current indices wrt \{0,\dots,n-1\}.

fill([initialValue, stepSize])

Fill the indices with a linear progression.

find(val)

Find the index of a given value.

getClassName()

Accessor to the object's name.

getId()

Accessor to the object's id.

getName()

Accessor to the object's name.

getShadowedId()

Accessor to the object's shadowed id.

getSize()

Get the collection's dimension (or size).

getVisibility()

Accessor to the object's visibility state.

hasName()

Test if the object is named.

hasVisibleName()

Test if the object has a distinguishable name.

isEmpty()

Tell if the collection is empty.

isIncreasing()

Check if the indices are increasing.

norm1()

Compute the 1-norm of the indices.

normInf()

Compute the infinite norm of the indices.

resize(newSize)

Change the size of the collection.

select(marginalIndices)

Selection from indices.

setName(name)

Accessor to the object's name.

setShadowedId(id)

Accessor to the object's shadowed id.

setVisibility(visible)

Accessor to the object's visibility state.

__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.

check(bound)

Check that no value is repeated and no value exceeds the given bound.

Parameters:
boundpositive int

The bound value.

Returns:
checkbool

True if no value is repeated and all values are < bound.

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=[]
complement(n)

Build the complement of the current indices wrt \{0,\dots,n-1\}.

Parameters:
boundpositive int

The value of n.

Returns:
complementIndices

The increasing collection of integers in \{0,\dots,n-1\} not in the current indices.

Examples

>>> import openturns as ot
>>> indices = ot.Indices([1, 3, 4])
>>> print(indices.complement(7))
[0,2,5,6]
fill(initialValue=0, stepSize=1)

Fill the indices with a linear progression.

Starting from the start value initialValue by step stepSize.

Parameters:
initialValuepositive int

Initial value. By default it is equal to 0.

stepSizepositive int

Step size. By default it is equal to 1.

Examples

>>> import openturns as ot
>>> indices = ot.Indices(3)
>>> indices.fill()
>>> print(indices)
[0,1,2]
>>> indices = ot.Indices(3)
>>> indices.fill(2, 4)
>>> print(indices)
[2,6,10]
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__).

getId()

Accessor to the object’s id.

Returns:
idint

Internal unique identifier.

getName()

Accessor to the object’s name.

Returns:
namestr

The name of the object.

getShadowedId()

Accessor to the object’s shadowed id.

Returns:
idint

Internal unique identifier.

getSize()

Get the collection’s dimension (or size).

Returns:
nint

The number of components in the collection.

getVisibility()

Accessor to the object’s visibility state.

Returns:
visiblebool

Visibility flag.

hasName()

Test if the object is named.

Returns:
hasNamebool

True if the name is not empty.

hasVisibleName()

Test if the object has a distinguishable name.

Returns:
hasVisibleNamebool

True if the name is not empty and not the default one.

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 indices are increasing.

Returns:
isIncreasingbool

True if the indices are increasing.

Examples

>>> import openturns as ot
>>> indices = ot.Indices(3)
>>> indices.fill()
>>> indices.isIncreasing()
True
norm1()

Compute the 1-norm of the indices.

Returns:
norm: int

The sum of the indices.

Examples

>>> import openturns as ot
>>> indices = ot.Indices([3, 5, 7, 9])
>>> print(indices.norm1())
24
normInf()

Compute the infinite norm of the indices.

Returns:
norm: int

The maximum of the indices.

Examples

>>> import openturns as ot
>>> indices = ot.Indices([3, 5, 7, 9])
>>> print(indices.normInf())
9
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.

setName(name)

Accessor to the object’s name.

Parameters:
namestr

The name of the object.

setShadowedId(id)

Accessor to the object’s shadowed id.

Parameters:
idint

Internal unique identifier.

setVisibility(visible)

Accessor to the object’s visibility state.

Parameters:
visiblebool

Visibility flag.

Examples using the class

Compute SRC indices confidence intervals

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Polynomial chaos exploitation

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Create a polynomial chaos for the Ishigami function: a quick start guide to polynomial chaos

Create a polynomial chaos for the Ishigami function: a quick start guide to polynomial chaos

Plot enumeration rules

Plot enumeration rules

Cross Entropy Importance Sampling

Cross Entropy Importance Sampling

Sobol’ sensitivity indices from chaos

Sobol' sensitivity indices from chaos

Multi-objective optimization using Pagmo

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