java.lang.Object
- com.google.common.geometry.R1Interval

All Implemented Interfaces:

Serializable
```
@GwtCompatible(serializable=true)
public final class R1Interval
extends Object
implements Serializable
```
An R1Interval represents a closed, bounded interval on the real line. It is capable of representing the empty interval (containing no points) and zero-length intervals (containing a single point).

See Also:

Serialized Form

Constructor Summary

Constructors
Constructor Description

R1Interval(double lo, double hi)
Interval constructor.

R1Interval(R1Interval interval)
Copy constructor.

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`R1Interval`	`addPoint(double p)`	Returns the smallest interval that contains this interval and the point `p`.
`boolean`	`approxEquals(R1Interval y)`	As `approxEquals(R1Interval, double)`, with a default value for maxError just larger than typical rounding errors in computing intervals.
`boolean`	`approxEquals(R1Interval y, double maxError)`	Returns true if this interval can be transformed into `y` by moving each endpoint by at most `maxError`.
`double`	`clampPoint(double p)`	Returns the closest point in the interval to the point `p`.
`boolean`	`contains(double p)`
`boolean`	`contains(R1Interval y)`	Returns true if this interval contains the interval `y`.
`static R1Interval`	`empty()`	Returns an empty interval.
`boolean`	`equals(Object that)`
`R1Interval`	`expanded(double radius)`	Return an interval that contains all points with a distance "radius" of a point in this interval.
`static R1Interval`	`fromPoint(double p)`	Convenience method to construct an interval containing a single point.
`static R1Interval`	`fromPointPair(double p1, double p2)`	Convenience method to construct the minimal interval containing the two given points.
`double`	`getCenter()`	Returns the center of the interval.
`double`	`getDirectedHausdorffDistance(R1Interval y)`	Return the Hausdorff distance to the given interval `y`.
`double`	`getLength()`	Returns the length of the interval.
`int`	`hashCode()`
`double`	`hi()`
`boolean`	`interiorContains(double p)`
`boolean`	`interiorContains(R1Interval y)`	Returns true if the interior of this interval contains the entire interval `y` (including its boundary).
`boolean`	`interiorIntersects(R1Interval y)`	Returns true if the interior of this interval intersects any point of `y` (including its boundary).
`R1Interval`	`intersection(R1Interval y)`	Returns the intersection of this interval with `y`.
`boolean`	`intersects(R1Interval y)`	Returns true if this interval intersects `y`, i.e.
`boolean`	`isEmpty()`	Returns true if the interval is empty, i.e.
`double`	`lo()`
`String`	`toString()`
`R1Interval`	`union(R1Interval y)`	Returns the smallest interval that contains this interval and `y`.

Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait

- Constructor Detail
  - R1Interval
```
public R1Interval(double lo,
                  double hi)
```
    Interval constructor. If lo > hi, the interval is empty.
  - R1Interval
```
public R1Interval(R1Interval interval)
```
    Copy constructor.
- Method Detail
  - empty
```
public static R1Interval empty()
```
    Returns an empty interval. (Any interval where lo > hi is considered empty.)
  - fromPoint
```
public static R1Interval fromPoint(double p)
```
    Convenience method to construct an interval containing a single point.
  - fromPointPair
```
public static R1Interval fromPointPair(double p1,
                                       double p2)
```
    Convenience method to construct the minimal interval containing the two given points. This is equivalent to starting with an empty interval and calling AddPoint() twice, but it is more efficient.
  - lo
```
public double lo()
```
  - hi
```
public double hi()
```
  - isEmpty
```
public boolean isEmpty()
```
    Returns true if the interval is empty, i.e. it contains no points.
  - getCenter
```
public double getCenter()
```
    Returns the center of the interval. For empty intervals, the result is arbitrary.
  - getLength
```
public double getLength()
```
    Returns the length of the interval. The length of an empty interval is negative.
  - contains
```
public boolean contains(double p)
```
  - interiorContains
```
public boolean interiorContains(double p)
```
  - contains
```
public boolean contains(R1Interval y)
```
    Returns true if this interval contains the interval y.
  - interiorContains
```
public boolean interiorContains(R1Interval y)
```
    Returns true if the interior of this interval contains the entire interval y (including its boundary).
  - intersects
```
public boolean intersects(R1Interval y)
```
    Returns true if this interval intersects y, i.e. if they have any points in common.
  - interiorIntersects
```
public boolean interiorIntersects(R1Interval y)
```
    Returns true if the interior of this interval intersects any point of y (including its boundary).
  - getDirectedHausdorffDistance
```
public double getDirectedHausdorffDistance(R1Interval y)
```
    Return the Hausdorff distance to the given interval y. For two R1Intervals x and y, this distance is defined as h(x, y) = max_{p in x} min_{q in y} d(p, q).
  - clampPoint
```
public double clampPoint(double p)
```
    Returns the closest point in the interval to the point p. The interval must be non-empty.
  - expanded
```
@CheckReturnValue
public R1Interval expanded(double radius)
```
    Return an interval that contains all points with a distance "radius" of a point in this interval. Note that the expansion of an empty interval is always empty.
  - union
```
@CheckReturnValue
public R1Interval union(R1Interval y)
```
    Returns the smallest interval that contains this interval and y.
  - intersection
```
@CheckReturnValue
public R1Interval intersection(R1Interval y)
```
    Returns the intersection of this interval with y. Empty intervals do not need to be special-cased.
  - addPoint
```
@CheckReturnValue
public R1Interval addPoint(double p)
```
    Returns the smallest interval that contains this interval and the point p.
  - equals
```
public boolean equals(Object that)
```
    Overrides:
    
    equals in class Object
  - hashCode
```
public int hashCode()
```
    Overrides:
    
    hashCode in class Object
  - approxEquals
```
public boolean approxEquals(R1Interval y)
```
    As approxEquals(R1Interval, double), with a default value for maxError just larger than typical rounding errors in computing intervals.
  - approxEquals
```
public boolean approxEquals(R1Interval y,
                            double maxError)
```
    Returns true if this interval can be transformed into y by moving each endpoint by at most maxError. The empty interval is considered to be positioned arbitrarily on the real line, thus any interval for which length <= 2*maxError is true matches the empty interval.
  - toString
```
public String toString()
```
    Overrides:
    
    toString in class Object

Constructor	Description
`R1Interval(double lo, double hi)`	Interval constructor.
`R1Interval(R1Interval interval)`	Copy constructor.

Class R1Interval

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

R1Interval

R1Interval

Method Detail

empty

fromPoint

fromPointPair

lo

hi

isEmpty

getCenter

getLength

contains

interiorContains

contains

interiorContains

intersects

interiorIntersects

getDirectedHausdorffDistance

clampPoint

expanded

union

intersection

addPoint

equals

hashCode

approxEquals

approxEquals

toString