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## org.apache.commons.math.analysis
Class ComposableFunction

    java.lang.Object
      org.apache.commons.math.analysis.ComposableFunction

All Implemented Interfaces:
  UnivariateRealFunction

    public abstract class ComposableFunction

extends Object
implements UnivariateRealFunction

Base class for `UnivariateRealFunction` that can be composed with other functions.

Since:
  2.1
Version:
  $Revision: 1070725 $ $Date: 2011-02-15 02:31:12 +0100 (mar. 15 févr. 2011) $

Field Summary
`static ComposableFunction` | `ABS` The `FastMath.abs` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `ACOS` The `FastMath.abs` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `ASIN` The `FastMath.asin` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `ATAN` The `FastMath.atan` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `CBRT` The `FastMath.cbrt` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `CEIL` The `FastMath.ceil` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `COS` The `FastMath.cos` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `COSH` The `FastMath.cosh` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `EXP` The `FastMath.exp` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `EXPM1` The `FastMath.expm1` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `FLOOR` The `FastMath.floor` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `IDENTITY` The identity function.
`static ComposableFunction` | `INVERT` The invert operator wrapped as a `ComposableFunction`.
`static ComposableFunction` | `LOG` The `FastMath.log` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `LOG10` The `FastMath.log10` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `LOG1P` The `FastMath.log1p` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `NEGATE` The - operator wrapped as a `ComposableFunction`.
`static ComposableFunction` | `ONE` The constant function always returning 1.
`static ComposableFunction` | `RINT` The `FastMath.rint` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `SIGNUM` The `FastMath.signum` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `SIN` The `FastMath.sin` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `SINH` The `FastMath.sinh` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `SQRT` The `FastMath.sqrt` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `TAN` The `FastMath.tan` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `TANH` The `FastMath.tanh` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `ULP` The `FastMath.ulp` method wrapped as a `ComposableFunction`.
`static ComposableFunction` | `ZERO` The constant function always returning 0.

Constructor Summary
`ComposableFunction()`

Method Summary
`ComposableFunction` | `add(double a)` Return a function adding a constant term to the instance.
`ComposableFunction` | `add(UnivariateRealFunction f)` Return a function adding the instance and another function.
`MultivariateRealFunction` | `asCollector()` Generates a function that iteratively apply instance function on all elements of an array.
`MultivariateRealFunction` | `asCollector(BivariateRealFunction combiner)` Generates a function that iteratively apply instance function on all elements of an array.
`MultivariateRealFunction` | `asCollector(BivariateRealFunction combiner, double initialValue)` Generates a function that iteratively apply instance function on all elements of an array.
`MultivariateRealFunction` | `asCollector(double initialValue)` Generates a function that iteratively apply instance function on all elements of an array.
`ComposableFunction` | `combine(UnivariateRealFunction f, BivariateRealFunction combiner)` Return a function combining the instance and another function.
`ComposableFunction` | `divide(UnivariateRealFunction f)` Return a function dividing the instance by another function.
`ComposableFunction` | `multiply(double scaleFactor)` Return a function scaling the instance by a constant factor.
`ComposableFunction` | `multiply(UnivariateRealFunction f)` Return a function multiplying the instance and another function.
`ComposableFunction` | `of(UnivariateRealFunction f)` Precompose the instance with another function.
`ComposableFunction` | `postCompose(UnivariateRealFunction f)` Postcompose the instance with another function.
`ComposableFunction` | `subtract(UnivariateRealFunction f)` Return a function subtracting another function from the instance.
`abstract double` | `value(double x)` Compute the value for the function.

Methods inherited from class java.lang.Object
`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

Field Detail

### ZERO

    public static final ComposableFunction ZERO

  The constant function always returning 0.

### ONE

    public static final ComposableFunction ONE

  The constant function always returning 1.

### IDENTITY

    public static final ComposableFunction IDENTITY

  The identity function.

### ABS

    public static final ComposableFunction ABS

  The `FastMath.abs` method wrapped as a `ComposableFunction`.

### NEGATE

    public static final ComposableFunction NEGATE

  The - operator wrapped as a `ComposableFunction`.

### INVERT

    public static final ComposableFunction INVERT

  The invert operator wrapped as a `ComposableFunction`.

### SIN

    public static final ComposableFunction SIN

  The `FastMath.sin` method wrapped as a `ComposableFunction`.

### SQRT

    public static final ComposableFunction SQRT

  The `FastMath.sqrt` method wrapped as a `ComposableFunction`.

### SINH

    public static final ComposableFunction SINH

  The `FastMath.sinh` method wrapped as a `ComposableFunction`.

### EXP

    public static final ComposableFunction EXP

  The `FastMath.exp` method wrapped as a `ComposableFunction`.

### EXPM1

    public static final ComposableFunction EXPM1

  The `FastMath.expm1` method wrapped as a `ComposableFunction`.

### ASIN

    public static final ComposableFunction ASIN

  The `FastMath.asin` method wrapped as a `ComposableFunction`.

### ATAN

    public static final ComposableFunction ATAN

  The `FastMath.atan` method wrapped as a `ComposableFunction`.

### TAN

    public static final ComposableFunction TAN

  The `FastMath.tan` method wrapped as a `ComposableFunction`.

### TANH

    public static final ComposableFunction TANH

  The `FastMath.tanh` method wrapped as a `ComposableFunction`.

### CBRT

    public static final ComposableFunction CBRT

  The `FastMath.cbrt` method wrapped as a `ComposableFunction`.

### CEIL

    public static final ComposableFunction CEIL

  The `FastMath.ceil` method wrapped as a `ComposableFunction`.

### FLOOR

    public static final ComposableFunction FLOOR

  The `FastMath.floor` method wrapped as a `ComposableFunction`.

### LOG

    public static final ComposableFunction LOG

  The `FastMath.log` method wrapped as a `ComposableFunction`.

### LOG10

    public static final ComposableFunction LOG10

  The `FastMath.log10` method wrapped as a `ComposableFunction`.

### LOG1P

    public static final ComposableFunction LOG1P

  The `FastMath.log1p` method wrapped as a `ComposableFunction`.

### COS

    public static final ComposableFunction COS

  The `FastMath.cos` method wrapped as a `ComposableFunction`.

### ACOS

    public static final ComposableFunction ACOS

  The `FastMath.abs` method wrapped as a `ComposableFunction`.

### COSH

    public static final ComposableFunction COSH

  The `FastMath.cosh` method wrapped as a `ComposableFunction`.

### RINT

    public static final ComposableFunction RINT

  The `FastMath.rint` method wrapped as a `ComposableFunction`.

### SIGNUM

    public static final ComposableFunction SIGNUM

  The `FastMath.signum` method wrapped as a `ComposableFunction`.

### ULP

    public static final ComposableFunction ULP

  The `FastMath.ulp` method wrapped as a `ComposableFunction`.

Constructor Detail

### ComposableFunction

    public ComposableFunction()

Method Detail

### of

    public ComposableFunction of(UnivariateRealFunction f)

  Precompose the instance with another function.

  The composed function h created by `h = g.of(f)` is such that `h.value(x) == g.value(f.value(x))` for all x.

  Parameters:
    `f` - function to compose with
  Returns:
    a new function which computes `this.value(f.value(x))`
  See Also:
    `postCompose(UnivariateRealFunction)`

### postCompose

    public ComposableFunction postCompose(UnivariateRealFunction f)

  Postcompose the instance with another function.

  The composed function h created by `h = g.postCompose(f)` is such that `h.value(x) == f.value(g.value(x))` for all x.

  Parameters:
    `f` - function to compose with
  Returns:
    a new function which computes `f.value(this.value(x))`
  See Also:
    `of(UnivariateRealFunction)`

### combine

    public ComposableFunction combine(UnivariateRealFunction f,
                                      BivariateRealFunction combiner)

  Return a function combining the instance and another function.

  The function h created by `h = g.combine(f, combiner)` is such that `h.value(x) == combiner.value(g.value(x), f.value(x))` for all x.

  Parameters:
    `f` - function to combine with the instance
    `combiner` - bivariate function used for combining
  Returns:
    a new function which computes `combine.value(this.value(x), f.value(x))`

### add

    public ComposableFunction add(UnivariateRealFunction f)

  Return a function adding the instance and another function.

  Parameters:
    `f` - function to combine with the instance
  Returns:
    a new function which computes `this.value(x) + f.value(x)`

### add

    public ComposableFunction add(double a)

  Return a function adding a constant term to the instance.

  Parameters:
    `a` - term to add
  Returns:
    a new function which computes `this.value(x) + a`

### subtract

    public ComposableFunction subtract(UnivariateRealFunction f)

  Return a function subtracting another function from the instance.

  Parameters:
    `f` - function to combine with the instance
  Returns:
    a new function which computes `this.value(x) - f.value(x)`

### multiply

    public ComposableFunction multiply(UnivariateRealFunction f)

  Return a function multiplying the instance and another function.

  Parameters:
    `f` - function to combine with the instance
  Returns:
    a new function which computes `this.value(x) * f.value(x)`

### multiply

    public ComposableFunction multiply(double scaleFactor)

  Return a function scaling the instance by a constant factor.

  Parameters:
    `scaleFactor` - constant scaling factor
  Returns:
    a new function which computes `this.value(x) * scaleFactor`

### divide

    public ComposableFunction divide(UnivariateRealFunction f)

  Return a function dividing the instance by another function.

  Parameters:
    `f` - function to combine with the instance
  Returns:
    a new function which computes `this.value(x) / f.value(x)`

### asCollector

    public MultivariateRealFunction asCollector(BivariateRealFunction combiner,
                                                double initialValue)

  Generates a function that iteratively apply instance function on all elements of an array.

  The generated function behaves as follows:

  - initialize result = initialValue
  - iterate: `result = combiner.value(result, this.value(nextMultivariateEntry));`
  - return result

  Parameters:
    `combiner` - combiner to use between entries
    `initialValue` - initial value to use before first entry
  Returns:
    a new function that iteratively apply instance function on all elements of an array.

### asCollector

    public MultivariateRealFunction asCollector(BivariateRealFunction combiner)

  Generates a function that iteratively apply instance function on all elements of an array.

  Calling this method is equivalent to call `asCollector(BivariateRealFunction, 0.0)`.

  Parameters:
    `combiner` - combiner to use between entries
  Returns:
    a new function that iteratively apply instance function on all elements of an array.
  See Also:
    `asCollector(BivariateRealFunction, double)`

### asCollector

    public MultivariateRealFunction asCollector(double initialValue)

  Generates a function that iteratively apply instance function on all elements of an array.

  Calling this method is equivalent to call `asCollector(BinaryFunction.ADD, initialValue)`.

  Parameters:
    `initialValue` - initial value to use before first entry
  Returns:
    a new function that iteratively apply instance function on all elements of an array.
  See Also:
    `asCollector(BivariateRealFunction, double)`, `BinaryFunction.ADD`

### asCollector

    public MultivariateRealFunction asCollector()

  Generates a function that iteratively apply instance function on all elements of an array.

  Calling this method is equivalent to call `asCollector(BinaryFunction.ADD, 0.0)`.

  Returns:
    a new function that iteratively apply instance function on all elements of an array.
  See Also:
    `asCollector(BivariateRealFunction, double)`, `BinaryFunction.ADD`

### value

    public abstract double value(double x)
                          throws FunctionEvaluationException

  Compute the value for the function.

  Specified by:
    `value` in interface `UnivariateRealFunction`
  Parameters:
    `x` - the point for which the function value should be computed
  Returns:
    the value
  Throws:
    `FunctionEvaluationException` - if the function evaluation fails

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