org.apache.commons.math3.util

## Class ResizableDoubleArray

- java.lang.Object
- - org.apache.commons.math3.util.ResizableDoubleArray

- All Implemented Interfaces:
    Serializable, DoubleArray

      public class ResizableDoubleArray
      extends Object
      implements DoubleArray, Serializable

  A variable length `DoubleArray` implementation that automatically handles expanding and contracting its internal storage array as elements are added and removed.

  ### Important note: Usage should not assume that this class is thread-safe even though some of the methods are `synchronized`. This qualifier will be dropped in the next major release (4.0).

  The internal storage array starts with capacity determined by the `initialCapacity` property, which can be set by the constructor. The default initial capacity is 16. Adding elements using `addElement(double)` appends elements to the end of the array. When there are no open entries at the end of the internal storage array, the array is expanded. The size of the expanded array depends on the `expansionMode` and `expansionFactor` properties. The `expansionMode` determines whether the size of the array is multiplied by the `expansionFactor` (`ResizableDoubleArray.ExpansionMode.MULTIPLICATIVE`) or if the expansion is additive (`ResizableDoubleArray.ExpansionMode.ADDITIVE` -- `expansionFactor` storage locations added). The default `expansionMode` is `MULTIPLICATIVE` and the default `expansionFactor` is 2.

  The `addElementRolling(double)` method adds a new element to the end of the internal storage array and adjusts the "usable window" of the internal array forward by one position (effectively making what was the second element the first, and so on). Repeated activations of this method (or activation of `discardFrontElements(int)`) will effectively orphan the storage locations at the beginning of the internal storage array. To reclaim this storage, each time one of these methods is activated, the size of the internal storage array is compared to the number of addressable elements (the `numElements` property) and if the difference is too large, the internal array is contracted to size `numElements + 1`. The determination of when the internal storage array is "too large" depends on the `expansionMode` and `contractionFactor` properties. If the `expansionMode` is `MULTIPLICATIVE`, contraction is triggered when the ratio between storage array length and `numElements` exceeds `contractionFactor.` If the `expansionMode` is `ADDITIVE`, the number of excess storage locations is compared to `contractionFactor`.

  To avoid cycles of expansions and contractions, the `expansionFactor` must not exceed the `contractionFactor`. Constructors and mutators for both of these properties enforce this requirement, throwing a `MathIllegalArgumentException` if it is violated.

  See Also:
    Serialized Form

- - ### Nested Class Summary

    Nested Classes
    Modifier and Type | Class and Description
    --- | ---
    `static class` | `ResizableDoubleArray.ExpansionMode` Specification of expansion algorithm.

  - ### Field Summary

    Fields
    Modifier and Type | Field and Description
    --- | ---
    `static int` | `ADDITIVE_MODE` Deprecated. As of 3.1. Please use `ResizableDoubleArray.ExpansionMode.ADDITIVE` instead.
    `static int` | `MULTIPLICATIVE_MODE` Deprecated. As of 3.1. Please use `ResizableDoubleArray.ExpansionMode.MULTIPLICATIVE` instead.

  - ### Constructor Summary

    Constructors
    Constructor and Description
    `ResizableDoubleArray()` Creates an instance with default properties.
    `ResizableDoubleArray(double[] initialArray)` Creates an instance from an existing `double[]` with the initial capacity and numElements corresponding to the size of the supplied `double[]` array.
    `ResizableDoubleArray(int initialCapacity)` Creates an instance with the specified initial capacity.
    `ResizableDoubleArray(int initialCapacity, double expansionFactor)` Creates an instance with the specified initial capacity and expansion factor.
    `ResizableDoubleArray(int initialCapacity, double expansionFactor, double contractionCriterion)` Creates an instance with the specified initial capacity, expansion factor, and contraction criteria.
    `ResizableDoubleArray(int initialCapacity, double expansionFactor, double contractionCriterion, ResizableDoubleArray.ExpansionMode expansionMode, double... data)` Creates an instance with the specified properties.
    `ResizableDoubleArray(int initialCapacity, float expansionFactor)` Deprecated. As of 3.1. Please use `ResizableDoubleArray(int,double)` instead.
    `ResizableDoubleArray(int initialCapacity, float expansionFactor, float contractionCriteria)` Deprecated. As of 3.1. Please use `ResizableDoubleArray(int,double,double)` instead.
    `ResizableDoubleArray(int initialCapacity, float expansionFactor, float contractionCriteria, int expansionMode)` Deprecated. As of 3.1. Please use `ResizableDoubleArray(int,double,double,ExpansionMode,double[])` instead.
    `ResizableDoubleArray(ResizableDoubleArray original)` Copy constructor.

  - ### Method Summary

    Methods
    Modifier and Type | Method and Description
    --- | ---
    `void` | `addElement(double value)` Adds an element to the end of this expandable array.
    `double` | `addElementRolling(double value)` Adds an element to the end of the array and removes the first element in the array.
    `void` | `addElements(double[] values)` Adds several element to the end of this expandable array.
    `protected void` | `checkContractExpand(double contraction, double expansion)` Checks the expansion factor and the contraction criterion and raises an exception if the contraction criterion is smaller than the expansion criterion.
    `protected void` | `checkContractExpand(float contraction, float expansion)` Deprecated. As of 3.1. Please use `checkContractExpand(double,double)` instead.
    `void` | `clear()` Clear the array contents, resetting the number of elements to zero.
    `double` | `compute(MathArrays.Function f)` Performs an operation on the addressable elements of the array.
    `void` | `contract()` Contracts the storage array to the (size of the element set) + 1 - to avoid a zero length array.
    `ResizableDoubleArray` | `copy()` Returns a copy of the ResizableDoubleArray.
    `static void` | `copy(ResizableDoubleArray source, ResizableDoubleArray dest)` Copies source to dest, copying the underlying data, so dest is a new, independent copy of source.
    `void` | `discardFrontElements(int i)` Discards the `i` initial elements of the array.
    `void` | `discardMostRecentElements(int i)` Discards the `i` last elements of the array.
    `boolean` | `equals(Object object)` Returns true iff object is a ResizableDoubleArray with the same properties as this and an identical internal storage array.
    `protected void` | `expand()` Expands the internal storage array using the expansion factor.
    `protected double[]` | `getArrayRef()` Provides direct access to the internal storage array.
    `int` | `getCapacity()` Gets the currently allocated size of the internal data structure used for storing elements.
    `float` | `getContractionCriteria()` Deprecated. As of 3.1. Please use `getContractionCriterion()` instead.
    `double` | `getContractionCriterion()` The contraction criterion defines when the internal array will contract to store only the number of elements in the element array.
    `double` | `getElement(int index)` Returns the element at the specified index
    `double[]` | `getElements()` Returns a double array containing the elements of this `ResizableArray`.
    `float` | `getExpansionFactor()` Deprecated. As of 3.1. Return type will be changed to "double" in 4.0.
    `int` | `getExpansionMode()` Deprecated. As of 3.1. Return value to be changed to `ResizableDoubleArray.ExpansionMode` in 4.0.
    `double[]` | `getInternalValues()` Deprecated. As of 3.1.
    `int` | `getNumElements()` Returns the number of elements currently in the array.
    `protected int` | `getStartIndex()` Returns the "start index" of the internal array.
    `int` | `hashCode()` Returns a hash code consistent with equals.
    `void` | `setContractionCriteria(float contractionCriteria)` Deprecated. As of 3.1 (to be removed in 4.0 as field will become "final").
    `void` | `setElement(int index, double value)` Sets the element at the specified index.
    `void` | `setExpansionFactor(float expansionFactor)` Deprecated. As of 3.1 (to be removed in 4.0 as field will become "final").
    `void` | `setExpansionMode(int expansionMode)` Deprecated. As of 3.1. Please use `setExpansionMode(ExpansionMode)` instead.
    `void` | `setExpansionMode(ResizableDoubleArray.ExpansionMode expansionMode)` Deprecated. As of 3.1 (to be removed in 4.0 as field will become "final").
    `protected void` | `setInitialCapacity(int initialCapacity)` Deprecated. As of 3.1, this is a no-op.
    `void` | `setNumElements(int i)` This function allows you to control the number of elements contained in this array, and can be used to "throw out" the last n values in an array.
    `int` | `start()` Deprecated. As of 3.1.
    `double` | `substituteMostRecentElement(double value)` Substitutes `value` for the most recently added value.

    - ### Methods inherited from class java.lang.Object

      `clone, finalize, getClass, notify, notifyAll, toString, wait, wait, wait`

- - ### Field Detail

    - #### ADDITIVE_MODE

          @Deprecated
          public static final int ADDITIVE_MODE

      Deprecated. As of 3.1. Please use `ResizableDoubleArray.ExpansionMode.ADDITIVE` instead.
      Additive expansion mode.
      See Also:
        Constant Field Values

    - #### MULTIPLICATIVE_MODE

          @Deprecated
          public static final int MULTIPLICATIVE_MODE

      Deprecated. As of 3.1. Please use `ResizableDoubleArray.ExpansionMode.MULTIPLICATIVE` instead.
      Multiplicative expansion mode.
      See Also:
        Constant Field Values

  - ### Constructor Detail

    - #### ResizableDoubleArray

          public ResizableDoubleArray()

      Creates an instance with default properties.
      - `initialCapacity = 16`
      - `expansionMode = MULTIPLICATIVE`
      - `expansionFactor = 2.0`
      - `contractionCriterion = 2.5`

    - #### ResizableDoubleArray

          public ResizableDoubleArray(int initialCapacity)
                               throws MathIllegalArgumentException

      Creates an instance with the specified initial capacity. Other properties take default values:
      - `expansionMode = MULTIPLICATIVE`
      - `expansionFactor = 2.0`
      - `contractionCriterion = 2.5`
      Parameters:
        `initialCapacity` - Initial size of the internal storage array.
      Throws:
        `MathIllegalArgumentException` - if `initialCapacity <= 0`.

    - #### ResizableDoubleArray

          public ResizableDoubleArray(double[] initialArray)

      Creates an instance from an existing `double[]` with the initial capacity and numElements corresponding to the size of the supplied `double[]` array. If the supplied array is null, a new empty array with the default initial capacity will be created. The input array is copied, not referenced. Other properties take default values:
      - `initialCapacity = 16`
      - `expansionMode = MULTIPLICATIVE`
      - `expansionFactor = 2.0`
      - `contractionCriterion = 2.5`
      Parameters:
        `initialArray` - initial array
      Since:
        2.2

    - #### ResizableDoubleArray

          @Deprecated
          public ResizableDoubleArray(int initialCapacity,
                                         float expansionFactor)
                               throws MathIllegalArgumentException

      Deprecated. As of 3.1. Please use `ResizableDoubleArray(int,double)` instead.
      Creates an instance with the specified initial capacity and expansion factor. The remaining properties take default values:
      - `expansionMode = MULTIPLICATIVE`
      - `contractionCriterion = 0.5 + expansionFactor`
      Throws IllegalArgumentException if the following conditions are not met:
      - `initialCapacity > 0`
      - `expansionFactor > 1`
      Parameters:
        `initialCapacity` - Initial size of the internal storage array.
        `expansionFactor` - The array will be expanded based on this parameter.
      Throws:
        `MathIllegalArgumentException` - if parameters are not valid.

    - #### ResizableDoubleArray

          public ResizableDoubleArray(int initialCapacity,
                              double expansionFactor)
                               throws MathIllegalArgumentException

      Creates an instance with the specified initial capacity and expansion factor. The remaining properties take default values:
      - `expansionMode = MULTIPLICATIVE`
      - `contractionCriterion = 0.5 + expansionFactor`
      Throws IllegalArgumentException if the following conditions are not met:
      - `initialCapacity > 0`
      - `expansionFactor > 1`
      Parameters:
        `initialCapacity` - Initial size of the internal storage array.
        `expansionFactor` - The array will be expanded based on this parameter.
      Throws:
        `MathIllegalArgumentException` - if parameters are not valid.
      Since:
        3.1

    - #### ResizableDoubleArray

          @Deprecated
          public ResizableDoubleArray(int initialCapacity,
                                         float expansionFactor,
                                         float contractionCriteria)
                               throws MathIllegalArgumentException

      Deprecated. As of 3.1. Please use `ResizableDoubleArray(int,double,double)` instead.
      Creates an instance with the specified initialCapacity, expansionFactor, and contractionCriterion. The expansion mode will default to `MULTIPLICATIVE`.
      Throws IllegalArgumentException if the following conditions are not met:
      - `initialCapacity > 0`
      - `expansionFactor > 1`
      - `contractionCriterion >= expansionFactor`
      Parameters:
        `initialCapacity` - Initial size of the internal storage array..
        `expansionFactor` - The array will be expanded based on this parameter.
        `contractionCriteria` - Contraction criteria.
      Throws:
        `MathIllegalArgumentException` - if parameters are not valid.

    - #### ResizableDoubleArray

          public ResizableDoubleArray(int initialCapacity,
                              double expansionFactor,
                              double contractionCriterion)
                               throws MathIllegalArgumentException

      Creates an instance with the specified initial capacity, expansion factor, and contraction criteria. The expansion mode will default to `MULTIPLICATIVE`.
      Throws IllegalArgumentException if the following conditions are not met:
      - `initialCapacity > 0`
      - `expansionFactor > 1`
      - `contractionCriterion >= expansionFactor`
      Parameters:
        `initialCapacity` - Initial size of the internal storage array..
        `expansionFactor` - The array will be expanded based on this parameter.
        `contractionCriterion` - Contraction criterion.
      Throws:
        `MathIllegalArgumentException` - if the parameters are not valid.
      Since:
        3.1

    - #### ResizableDoubleArray

          @Deprecated
          public ResizableDoubleArray(int initialCapacity,
                                         float expansionFactor,
                                         float contractionCriteria,
                                         int expansionMode)
                               throws MathIllegalArgumentException

      Deprecated. As of 3.1. Please use `ResizableDoubleArray(int,double,double,ExpansionMode,double[])` instead.

      Create a ResizableArray with the specified properties.

      Throws IllegalArgumentException if the following conditions are not met:

      - `initialCapacity > 0`
      - `expansionFactor > 1`
      - `contractionFactor >= expansionFactor`
      - `expansionMode in {MULTIPLICATIVE_MODE, ADDITIVE_MODE}`
      Parameters:
        `initialCapacity` - the initial size of the internal storage array
        `expansionFactor` - the array will be expanded based on this parameter
        `contractionCriteria` - the contraction Criteria
        `expansionMode` - the expansion mode
      Throws:
        `MathIllegalArgumentException` - if parameters are not valid

    - #### ResizableDoubleArray

          public ResizableDoubleArray(int initialCapacity,
                              double expansionFactor,
                              double contractionCriterion,
                              ResizableDoubleArray.ExpansionMode expansionMode,
                              double... data)
                               throws MathIllegalArgumentException

      Creates an instance with the specified properties.
      Throws MathIllegalArgumentException if the following conditions are not met:
      - `initialCapacity > 0`
      - `expansionFactor > 1`
      - `contractionCriterion >= expansionFactor`
      Parameters:
        `initialCapacity` - Initial size of the internal storage array.
        `expansionFactor` - The array will be expanded based on this parameter.
        `contractionCriterion` - Contraction criteria.
        `expansionMode` - Expansion mode.
        `data` - Initial contents of the array.
      Throws:
        `MathIllegalArgumentException` - if the parameters are not valid.

    - #### ResizableDoubleArray

          public ResizableDoubleArray(ResizableDoubleArray original)
                               throws NullArgumentException

      Copy constructor. Creates a new ResizableDoubleArray that is a deep, fresh copy of the original. Needs to acquire synchronization lock on original. Original may not be null; otherwise a `NullArgumentException` is thrown.
      Parameters:
        `original` - array to copy
      Throws:
        `NullArgumentException` - if original is null
      Since:
        2.0

  - ### Method Detail

    - #### addElement

          public void addElement(double value)

      Adds an element to the end of this expandable array.
      Specified by:
        `addElement` in interface `DoubleArray`
      Parameters:
        `value` - Value to be added to end of array.

    - #### addElements

          public void addElements(double[] values)

      Adds several element to the end of this expandable array.
      Specified by:
        `addElements` in interface `DoubleArray`
      Parameters:
        `values` - Values to be added to end of array.
      Since:
        2.2

    - #### addElementRolling

          public double addElementRolling(double value)

      Adds an element to the end of the array and removes the first element in the array. Returns the discarded first element. The effect is similar to a push operation in a FIFO queue.

      Example: If the array contains the elements 1, 2, 3, 4 (in that order) and addElementRolling(5) is invoked, the result is an array containing the entries 2, 3, 4, 5 and the value returned is 1.

      Specified by:
        `addElementRolling` in interface `DoubleArray`
      Parameters:
        `value` - Value to be added to the array.
      Returns:
        the value which has been discarded or "pushed" out of the array by this rolling insert.

    - #### substituteMostRecentElement

          public double substituteMostRecentElement(double value)
                                             throws MathIllegalStateException

      Substitutes `value` for the most recently added value. Returns the value that has been replaced. If the array is empty (i.e. if `numElements` is zero), an IllegalStateException is thrown.
      Parameters:
        `value` - New value to substitute for the most recently added value
      Returns:
        the value that has been replaced in the array.
      Throws:
        `MathIllegalStateException` - if the array is empty
      Since:
        2.0

    - #### checkContractExpand

          @Deprecated
          protected void checkContractExpand(float contraction,
                                            float expansion)
                                      throws MathIllegalArgumentException

      Deprecated. As of 3.1. Please use `checkContractExpand(double,double)` instead.
      Checks the expansion factor and the contraction criterion and throws an IllegalArgumentException if the contractionCriteria is less than the expansionCriteria
      Parameters:
        `expansion` - factor to be checked
        `contraction` - criteria to be checked
      Throws:
        `MathIllegalArgumentException` - if the contractionCriteria is less than the expansionCriteria.

    - #### checkContractExpand

          protected void checkContractExpand(double contraction,
                                 double expansion)
                                      throws NumberIsTooSmallException

      Checks the expansion factor and the contraction criterion and raises an exception if the contraction criterion is smaller than the expansion criterion.
      Parameters:
        `contraction` - Criterion to be checked.
        `expansion` - Factor to be checked.
      Throws:
        `NumberIsTooSmallException` - if `contraction < expansion`.
        `NumberIsTooSmallException` - if `contraction <= 1`.
        `NumberIsTooSmallException` - if `expansion <= 1` .
      Since:
        3.1

    - #### clear

          public void clear()

      Clear the array contents, resetting the number of elements to zero.
      Specified by:
        `clear` in interface `DoubleArray`

    - #### contract

          public void contract()

      Contracts the storage array to the (size of the element set) + 1 - to avoid a zero length array. This function also resets the startIndex to zero.

    - #### discardFrontElements

          public void discardFrontElements(int i)
                                    throws MathIllegalArgumentException

      Discards the `i` initial elements of the array. For example, if the array contains the elements 1,2,3,4, invoking `discardFrontElements(2)` will cause the first two elements to be discarded, leaving 3,4 in the array. Throws illegalArgumentException if i exceeds numElements.
      Parameters:
        `i` - the number of elements to discard from the front of the array
      Throws:
        `MathIllegalArgumentException` - if i is greater than numElements.
      Since:
        2.0

    - #### discardMostRecentElements

          public void discardMostRecentElements(int i)
                                         throws MathIllegalArgumentException

      Discards the `i` last elements of the array. For example, if the array contains the elements 1,2,3,4, invoking `discardMostRecentElements(2)` will cause the last two elements to be discarded, leaving 1,2 in the array. Throws illegalArgumentException if i exceeds numElements.
      Parameters:
        `i` - the number of elements to discard from the end of the array
      Throws:
        `MathIllegalArgumentException` - if i is greater than numElements.
      Since:
        2.0

    - #### expand

          protected void expand()

      Expands the internal storage array using the expansion factor.

      if `expansionMode` is set to MULTIPLICATIVE_MODE, the new array size will be `internalArray.length * expansionFactor.` If `expansionMode` is set to ADDITIVE_MODE, the length after expansion will be `internalArray.length + expansionFactor`

    - #### getContractionCriteria

          @Deprecated
          public float getContractionCriteria()

      Deprecated. As of 3.1. Please use `getContractionCriterion()` instead.
      The contraction criteria defines when the internal array will contract to store only the number of elements in the element array. If the `expansionMode` is `MULTIPLICATIVE_MODE`, contraction is triggered when the ratio between storage array length and `numElements` exceeds `contractionFactor`. If the `expansionMode` is `ADDITIVE_MODE`, the number of excess storage locations is compared to `contractionFactor.`
      Returns:
        the contraction criteria used to reclaim memory.

    - #### getContractionCriterion

          public double getContractionCriterion()

      The contraction criterion defines when the internal array will contract to store only the number of elements in the element array. If the `expansionMode` is `MULTIPLICATIVE_MODE`, contraction is triggered when the ratio between storage array length and `numElements` exceeds `contractionFactor`. If the `expansionMode` is `ADDITIVE_MODE`, the number of excess storage locations is compared to `contractionFactor.`
      Returns:
        the contraction criterion used to reclaim memory.
      Since:
        3.1

    - #### getElement

          public double getElement(int index)

      Returns the element at the specified index
      Specified by:
        `getElement` in interface `DoubleArray`
      Parameters:
        `index` - index to fetch a value from
      Returns:
        value stored at the specified index
      Throws:
        `ArrayIndexOutOfBoundsException` - if `index` is less than zero or is greater than `getNumElements() - 1`.

    - #### getElements

          public double[] getElements()

      Returns a double array containing the elements of this `ResizableArray`. This method returns a copy, not a reference to the underlying array, so that changes made to the returned array have no effect on this `ResizableArray.`
      Specified by:
        `getElements` in interface `DoubleArray`
      Returns:
        the double array.

    - #### getExpansionFactor

          @Deprecated
          public float getExpansionFactor()

      Deprecated. As of 3.1. Return type will be changed to "double" in 4.0.
      The expansion factor controls the size of a new array when an array needs to be expanded. The `expansionMode` determines whether the size of the array is multiplied by the `expansionFactor` (MULTIPLICATIVE_MODE) or if the expansion is additive (ADDITIVE_MODE -- `expansionFactor` storage locations added). The default `expansionMode` is MULTIPLICATIVE_MODE and the default `expansionFactor` is 2.0.
      Returns:
        the expansion factor of this expandable double array

    - #### getExpansionMode

          @Deprecated
          public int getExpansionMode()

      Deprecated. As of 3.1. Return value to be changed to `ResizableDoubleArray.ExpansionMode` in 4.0.
      The expansion mode determines whether the internal storage array grows additively or multiplicatively when it is expanded.
      Returns:
        the expansion mode.

    - #### getCapacity

          public int getCapacity()

      Gets the currently allocated size of the internal data structure used for storing elements. This is not to be confused with `the number of elements actually stored`.
      Returns:
        the length of the internal array.
      Since:
        3.1

    - #### getNumElements

          public int getNumElements()

      Returns the number of elements currently in the array. Please note that this is different from the length of the internal storage array.
      Specified by:
        `getNumElements` in interface `DoubleArray`
      Returns:
        the number of elements.

    - #### getInternalValues

          @Deprecated
          public double[] getInternalValues()

      Deprecated. As of 3.1.
      Returns the internal storage array. Note that this method returns a reference to the internal storage array, not a copy, and to correctly address elements of the array, the `startIndex` is required (available via the `start()` method). This method should only be used in cases where copying the internal array is not practical. The `getElements()` method should be used in all other cases.
      Returns:
        the internal storage array used by this object
      Since:
        2.0

    - #### getArrayRef

          protected double[] getArrayRef()

      Provides direct access to the internal storage array. Please note that this method returns a reference to this object's storage array, not a copy.
      To correctly address elements of the array, the "start index" is required (available via the `getStartIndex` method.
      This method should only be used to avoid copying the internal array. The returned value must be used for reading only; other uses could lead to this object becoming inconsistent.
      The `getElements()` method has no such limitation since it returns a copy of this array's addressable elements.
      Returns:
        the internal storage array used by this object.
      Since:
        3.1

    - #### getStartIndex

          protected int getStartIndex()

      Returns the "start index" of the internal array. This index is the position of the first addressable element in the internal storage array. The addressable elements in the array are at indices contained in the interval [`getStartIndex()`, `getStartIndex()` + `getNumElements()` - 1].
      Returns:
        the start index.
      Since:
        3.1

    - #### setContractionCriteria

          @Deprecated
          public void setContractionCriteria(float contractionCriteria)
                                      throws MathIllegalArgumentException

      Deprecated. As of 3.1 (to be removed in 4.0 as field will become "final").
      Sets the contraction criteria.
      Parameters:
        `contractionCriteria` - contraction criteria
      Throws:
        `MathIllegalArgumentException` - if the contractionCriteria is less than the expansionCriteria.

    - #### compute

          public double compute(MathArrays.Function f)

      Performs an operation on the addressable elements of the array.
      Parameters:
        `f` - Function to be applied on this array.
      Returns:
        the result.
      Since:
        3.1

    - #### setElement

          public void setElement(int index,
                        double value)

      Sets the element at the specified index. If the specified index is greater than `getNumElements() - 1`, the `numElements` property is increased to `index +1` and additional storage is allocated (if necessary) for the new element and all (uninitialized) elements between the new element and the previous end of the array).
      Specified by:
        `setElement` in interface `DoubleArray`
      Parameters:
        `index` - index to store a value in
        `value` - value to store at the specified index
      Throws:
        `ArrayIndexOutOfBoundsException` - if `index < 0`.

    - #### setExpansionFactor

          @Deprecated
          public void setExpansionFactor(float expansionFactor)
                                  throws MathIllegalArgumentException

      Deprecated. As of 3.1 (to be removed in 4.0 as field will become "final").
      Sets the expansionFactor. Throws IllegalArgumentException if the the following conditions are not met:
      - `expansionFactor > 1`
      - `contractionFactor >= expansionFactor`
      Parameters:
        `expansionFactor` - the new expansion factor value.
      Throws:
        `MathIllegalArgumentException` - if expansionFactor is <= 1 or greater than contractionFactor

    - #### setExpansionMode

          @Deprecated
          public void setExpansionMode(int expansionMode)
                                throws MathIllegalArgumentException

      Deprecated. As of 3.1. Please use `setExpansionMode(ExpansionMode)` instead.
      Sets the `expansionMode`. The specified value must be one of ADDITIVE_MODE, MULTIPLICATIVE_MODE.
      Parameters:
        `expansionMode` - The expansionMode to set.
      Throws:
        `MathIllegalArgumentException` - if the specified mode value is not valid.

    - #### setExpansionMode

          @Deprecated
          public void setExpansionMode(ResizableDoubleArray.ExpansionMode expansionMode)

      Deprecated. As of 3.1 (to be removed in 4.0 as field will become "final").
      Sets the `expansion mode`.
      Parameters:
        `expansionMode` - Expansion mode to use for resizing the array.

    - #### setInitialCapacity

          @Deprecated
          protected void setInitialCapacity(int initialCapacity)
                                     throws MathIllegalArgumentException

      Deprecated. As of 3.1, this is a no-op.
      Sets the initial capacity. Should only be invoked by constructors.
      Parameters:
        `initialCapacity` - of the array
      Throws:
        `MathIllegalArgumentException` - if `initialCapacity` is not positive.

    - #### setNumElements

          public void setNumElements(int i)
                              throws MathIllegalArgumentException

      This function allows you to control the number of elements contained in this array, and can be used to "throw out" the last n values in an array. This function will also expand the internal array as needed.
      Parameters:
        `i` - a new number of elements
      Throws:
        `MathIllegalArgumentException` - if `i` is negative.

    - #### start

          @Deprecated
          public int start()

      Deprecated. As of 3.1.
      Returns the starting index of the internal array. The starting index is the position of the first addressable element in the internal storage array. The addressable elements in the array are `internalArray[startIndex],...,internalArray[startIndex + numElements -1]`
      Returns:
        the starting index.

    - #### copy

          public static void copy(ResizableDoubleArray source,
                  ResizableDoubleArray dest)
                           throws NullArgumentException

      Copies source to dest, copying the underlying data, so dest is a new, independent copy of source. Does not contract before the copy.

      Obtains synchronization locks on both source and dest (in that order) before performing the copy.

      Neither source nor dest may be null; otherwise a `NullArgumentException` is thrown

      Parameters:
        `source` - ResizableDoubleArray to copy
        `dest` - ResizableArray to replace with a copy of the source array
      Throws:
        `NullArgumentException` - if either source or dest is null
      Since:
        2.0

    - #### copy

          public ResizableDoubleArray copy()

      Returns a copy of the ResizableDoubleArray. Does not contract before the copy, so the returned object is an exact copy of this.
      Returns:
        a new ResizableDoubleArray with the same data and configuration properties as this
      Since:
        2.0

    - #### equals

          public boolean equals(Object object)

      Returns true iff object is a ResizableDoubleArray with the same properties as this and an identical internal storage array.
      Overrides:
        `equals` in class `Object`
      Parameters:
        `object` - object to be compared for equality with this
      Returns:
        true iff object is a ResizableDoubleArray with the same data and properties as this
      Since:
        2.0

    - #### hashCode

          public int hashCode()

      Returns a hash code consistent with equals.
      Overrides:
        `hashCode` in class `Object`
      Returns:
        the hash code representing this `ResizableDoubleArray`.
      Since:
        2.0

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