com.io7m.jregions.core.unparameterized.areas

## Class AreasBI

- java.lang.Object
- - com.io7m.jregions.core.unparameterized.areas.AreasBI

-     public final class AreasBI
      extends Object

  Functions over areas.

  These functions operate using the concepts of minimum-x, maximum-x, minimum-y, and maximum-y edges. It is up to individual applications to assign meaning to these edges such as "left" for minimum-x and "top" for minimum-y.

- - ### Method Summary

    All Methods Static Methods Concrete Methods
    Modifier and Type | Method and Description
    --- | ---
    `static AreaBI` | `alignCenter(AreaBI outer, AreaBI inner)` Align the area `inner` such that the center of the area is equal to the center of `outer`.
    `static AreaBI` | `alignHorizontallyCenter(AreaBI outer, AreaBI inner)` Align the area `inner` horizontally in the center of `outer`.
    `static AreaBI` | `alignHorizontallyMaxX(AreaBI outer, AreaBI inner)` Equivalent to calling `alignHorizontallyMaxXOffset(AreaBI, AreaBI, java.math.BigInteger)` with a zero offset.
    `static AreaBI` | `alignHorizontallyMaxXOffset(AreaBI outer, AreaBI inner, BigInteger offset)` Align the area `inner` horizontally against the inside maximum-x edge of `outer`.
    `static AreaBI` | `alignHorizontallyMinX(AreaBI outer, AreaBI inner)` Equivalent to calling `alignHorizontallyMinXOffset(AreaBI, AreaBI, java.math.BigInteger)` with a zero offset.
    `static AreaBI` | `alignHorizontallyMinXOffset(AreaBI outer, AreaBI inner, BigInteger offset)` Align the area `inner` horizontally against the inside minimum-x edge of `outer`.
    `static AreaBI` | `alignMaxYMaxX(AreaBI outer, AreaBI inner)` Equivalent to calling `alignMaxYMaxXOffset(AreaBI, AreaBI, java.math.BigInteger, java.math.BigInteger)` with zero offsets.
    `static AreaBI` | `alignMaxYMaxXOffset(AreaBI outer, AreaBI inner, BigInteger offset_x, BigInteger offset_y)` Align the area `inner` such that the maximum-y edge is at least `offset_y` from the inside maximum-y edge of `outer` and the maximum-x edge is at least `offset_x` from the inside maximum-x edge of `outer`.
    `static AreaBI` | `alignMaxYMinX(AreaBI outer, AreaBI inner)` Equivalent to calling `alignMaxYMinXOffset(AreaBI, AreaBI, java.math.BigInteger, java.math.BigInteger)` with zero offsets.
    `static AreaBI` | `alignMaxYMinXOffset(AreaBI outer, AreaBI inner, BigInteger offset_x, BigInteger offset_y)` Align the area `inner` such that the maximum-y edge is at least `offset_y` from the inside maximum-y edge of `outer` and the minimum-x edge is at least `offset_x` from the inside minimum-x edge of `outer`.
    `static AreaBI` | `alignMinYMaxX(AreaBI outer, AreaBI inner)` Equivalent to calling `alignMinYMaxXOffset(AreaBI, AreaBI, java.math.BigInteger, java.math.BigInteger)` with zero offsets.
    `static AreaBI` | `alignMinYMaxXOffset(AreaBI outer, AreaBI inner, BigInteger offset_x, BigInteger offset_y)` Align the area `inner` such that the minimum-y edge is at least `offset_y` from the inside minimum-y edge of `outer` and the maximum-x edge is at least `offset_x` from the inside maximum-x edge of `outer`.
    `static AreaBI` | `alignMinYMinX(AreaBI outer, AreaBI inner)` Equivalent to calling `alignMinYMinXOffset(AreaBI, AreaBI, java.math.BigInteger, java.math.BigInteger)` with zero offsets.
    `static AreaBI` | `alignMinYMinXOffset(AreaBI outer, AreaBI inner, BigInteger offset_x, BigInteger offset_y)` Align the area `inner` such that the minimum-y edge is at least `offset_y` from the inside minimum-y edge of `outer` and the minimum-x edge is at least `offset_x` from the inside minimum-x edge of `outer`.
    `static AreaBI` | `alignVerticallyCenter(AreaBI outer, AreaBI inner)` Align the area `inner` vertically in the center of `outer`.
    `static AreaBI` | `alignVerticallyMaxY(AreaBI outer, AreaBI inner)` Equivalent to calling `alignVerticallyMaxYOffset(AreaBI, AreaBI, java.math.BigInteger)` with a zero offset.
    `static AreaBI` | `alignVerticallyMaxYOffset(AreaBI outer, AreaBI inner, BigInteger offset)` Align the area `inner` vertically against the inside maximum-y edge of `outer`.
    `static AreaBI` | `alignVerticallyMinY(AreaBI outer, AreaBI inner)` Equivalent to calling `alignVerticallyMinYOffset(AreaBI, AreaBI, java.math.BigInteger)` with a zero offset.
    `static AreaBI` | `alignVerticallyMinYOffset(AreaBI outer, AreaBI inner, BigInteger offset)` Align the area `inner` vertically against the inside minimum-y edge of `outer`.
    `static AreaBI` | `containing(AreaBI a, AreaBI b)` Construct a area that will contain both `a` and `b`.
    `static boolean` | `contains(AreaBI a, AreaBI b)` Determine whether or not one area contains another.
    `static boolean` | `containsPoint(AreaBI a, BigInteger x, BigInteger y)` Determine whether or not a area contains a given point.
    `static boolean` | `couldFitInside(AreaBI a, AreaBI b)` Determine whether or not one area could fit inside another.
    `static AreaBI` | `create(BigInteger x, BigInteger y, BigInteger width, BigInteger height)` Create an area of width `width` and height `height`, placing the minimum corner at `(x, y)`.
    `static AreaBI` | `fitBetweenHorizontal(AreaBI fit, AreaBI a, AreaBI b)` Attempt to fit `fit` between `a` and `b`, horizontally.
    `static AreaBI` | `fitBetweenVertical(AreaBI fit, AreaBI a, AreaBI b)` Attempt to fit `fit` between `a` and `b`, vertically.
    `static AreaBI` | `hollowOut(AreaBI outer, BigInteger min_x_offset, BigInteger max_x_offset, BigInteger min_y_offset, BigInteger max_y_offset)` Construct a new area that fits inside `outer` based on the given offsets from each edge.
    `static AreaBI` | `hollowOutEvenly(AreaBI outer, BigInteger offset)` Equivalent to calling `hollowOut(AreaBI, java.math.BigInteger, java.math.BigInteger, java.math.BigInteger, java.math.BigInteger)` with `offset` for all offset parameters.
    `static AreaBI` | `moveAbsolute(AreaBI area, BigInteger x, BigInteger y)` Move the given area to `(x, y)`.
    `static AreaBI` | `moveRelative(AreaBI area, BigInteger x, BigInteger y)` Move the given area by `(x, y)`.
    `static AreaBI` | `moveToOrigin(AreaBI area)` Move the given area to `(0, 0)`.
    `static boolean` | `overlaps(AreaBI a, AreaBI b)` Determine whether or not two areas overlap.
    `static AreaBI` | `scaleFromCenter(AreaBI area, BigInteger x_diff, BigInteger y_diff)` Scale `area` by adding `x_diff` to the width, and `y_diff` to the height.
    `static AreaBI` | `scaleFromMaxYMaxX(AreaBI area, BigInteger x_diff, BigInteger y_diff)` Scale `area` by adding `x_diff` to the width, and `y_diff` to the height.
    `static AreaBI` | `scaleFromMaxYMinX(AreaBI area, BigInteger x_diff, BigInteger y_diff)` Scale `area` by adding `x_diff` to the width, and `y_diff` to the height.
    `static AreaBI` | `scaleFromMinYMaxX(AreaBI area, BigInteger x_diff, BigInteger y_diff)` Scale `area` by adding `x_diff` to the width, and `y_diff` to the height.
    `static AreaBI` | `scaleFromMinYMinX(AreaBI area, BigInteger x_diff, BigInteger y_diff)` Scale `area` by adding `x_diff` to the width, and `y_diff` to the height.
    `static AreaBI` | `setSizeFromCenter(AreaBI area, BigInteger width, BigInteger height)` Set the width and height of `area` to `width` and `height`, respectively.
    `static AreaBI` | `setSizeFromMaxYMaxX(AreaBI area, BigInteger width, BigInteger height)` Set the width and height of `area` to `width` and `height`, respectively.
    `static AreaBI` | `setSizeFromMaxYMinX(AreaBI area, BigInteger width, BigInteger height)` Set the width and height of `area` to `width` and `height`, respectively.
    `static AreaBI` | `setSizeFromMinYMaxX(AreaBI area, BigInteger width, BigInteger height)` Set the width and height of `area` to `width` and `height`, respectively.
    `static AreaBI` | `setSizeFromMinYMinX(AreaBI area, BigInteger width, BigInteger height)` Set the width and height of `area` to `width` and `height`, respectively.
    `static String` | `show(AreaBI area)`
    `static String` | `showToBuilder(AreaBI area, StringBuilder sb)`
    `static AreaXSplitBI<AreaBI>` | `splitAlongParallelToX(AreaBI area, BigInteger y)` Split `area` along a line parallel to the X axis placed at `y` units from its own minimum-y edge.
    `static AreaYSplitBI<AreaBI>` | `splitAlongParallelToY(AreaBI area, BigInteger x)` Split `area` along a line parallel to the Y axis placed at `x` units from its own minimum-x edge.

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

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

- - ### Method Detail

    - #### create

          public static AreaBI create(BigInteger x,
                                      BigInteger y,
                                      BigInteger width,
                                      BigInteger height)

      Create an area of width `width` and height `height`, placing the minimum corner at `(x, y)`.
      Parameters:
        `x` - The X value of the minimum corner
        `y` - The Y value of the minimum corner
        `width` - The width of the area
        `height` - The height of the area
      Returns:
        An area

    - #### contains

          public static boolean contains(AreaBI a,
                                         AreaBI b)

      Determine whether or not one area contains another.

      Containing is reflexive: `contains(a, a) == true`.

      Containing is transitive: `contains(a, b) → contains(b, c) → contains(a, c)`.

      Containing is not necessarily symmetric.

      Parameters:
        `a` - Area A
        `b` - Area B
      Returns:
        `true` iff `a` contains `b`

    - #### moveRelative

          public static AreaBI moveRelative(AreaBI area,
                                            BigInteger x,
                                            BigInteger y)

      Move the given area by `(x, y)`.
      Parameters:
        `area` - The area
        `x` - The amount to move on the X axis
        `y` - The amount to move on the Y axis
      Returns:
        A moved area

    - #### moveAbsolute

          public static AreaBI moveAbsolute(AreaBI area,
                                            BigInteger x,
                                            BigInteger y)

      Move the given area to `(x, y)`.
      Parameters:
        `area` - The area
        `x` - The position to which to move on the X axis
        `y` - The position to which to move on the Y axis
      Returns:
        A moved area

    - #### moveToOrigin

          public static AreaBI moveToOrigin(AreaBI area)

      Move the given area to `(0, 0)`.
      Parameters:
        `area` - The area
      Returns:
        A moved area

    - #### alignHorizontallyCenter

          public static AreaBI alignHorizontallyCenter(AreaBI outer,
                                                       AreaBI inner)

      Align the area `inner` horizontally in the center of `outer`.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
      Returns:
        An aligned area

    - #### alignHorizontallyMinX

          public static AreaBI alignHorizontallyMinX(AreaBI outer,
                                                     AreaBI inner)

      Equivalent to calling `alignHorizontallyMinXOffset(AreaBI, AreaBI, java.math.BigInteger)` with a zero offset.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
      Returns:
        An aligned area

    - #### alignHorizontallyMinXOffset

          public static AreaBI alignHorizontallyMinXOffset(AreaBI outer,
                                                           AreaBI inner,
                                                           BigInteger offset)

      Align the area `inner` horizontally against the inside minimum-x edge of `outer`. The area will be at least `offset` units from the minimum-x edge.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
        `offset` - The offset from the edge s
      Returns:
        An aligned area

    - #### alignHorizontallyMaxX

          public static AreaBI alignHorizontallyMaxX(AreaBI outer,
                                                     AreaBI inner)

      Equivalent to calling `alignHorizontallyMaxXOffset(AreaBI, AreaBI, java.math.BigInteger)` with a zero offset.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
      Returns:
        An aligned area

    - #### alignHorizontallyMaxXOffset

          public static AreaBI alignHorizontallyMaxXOffset(AreaBI outer,
                                                           AreaBI inner,
                                                           BigInteger offset)

      Align the area `inner` horizontally against the inside maximum-x edge of `outer`. The area will be at least `offset` units from the maximum-x edge.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
        `offset` - The offset from the edge s
      Returns:
        An aligned area

    - #### alignVerticallyMinY

          public static AreaBI alignVerticallyMinY(AreaBI outer,
                                                   AreaBI inner)

      Equivalent to calling `alignVerticallyMinYOffset(AreaBI, AreaBI, java.math.BigInteger)` with a zero offset.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
      Returns:
        An aligned area

    - #### alignVerticallyMinYOffset

          public static AreaBI alignVerticallyMinYOffset(AreaBI outer,
                                                         AreaBI inner,
                                                         BigInteger offset)

      Align the area `inner` vertically against the inside minimum-y edge of `outer`. The area will be at least `offset` units from the minimum-y edge.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
        `offset` - The offset from the edge s
      Returns:
        An aligned area

    - #### alignVerticallyMaxY

          public static AreaBI alignVerticallyMaxY(AreaBI outer,
                                                   AreaBI inner)

      Equivalent to calling `alignVerticallyMaxYOffset(AreaBI, AreaBI, java.math.BigInteger)` with a zero offset.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
      Returns:
        An aligned area

    - #### alignVerticallyMaxYOffset

          public static AreaBI alignVerticallyMaxYOffset(AreaBI outer,
                                                         AreaBI inner,
                                                         BigInteger offset)

      Align the area `inner` vertically against the inside maximum-y edge of `outer`. The area will be at least `offset` units from the maximum-y edge.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
        `offset` - The offset from the edge s
      Returns:
        An aligned area

    - #### alignVerticallyCenter

          public static AreaBI alignVerticallyCenter(AreaBI outer,
                                                     AreaBI inner)

      Align the area `inner` vertically in the center of `outer`.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
      Returns:
        An aligned area

    - #### alignMinYMinX

          public static AreaBI alignMinYMinX(AreaBI outer,
                                             AreaBI inner)

      Equivalent to calling `alignMinYMinXOffset(AreaBI, AreaBI, java.math.BigInteger, java.math.BigInteger)` with zero offsets.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
      Returns:
        An aligned area

    - #### alignMinYMinXOffset

          public static AreaBI alignMinYMinXOffset(AreaBI outer,
                                                   AreaBI inner,
                                                   BigInteger offset_x,
                                                   BigInteger offset_y)

      Align the area `inner` such that the minimum-y edge is at least `offset_y` from the inside minimum-y edge of `outer` and the minimum-x edge is at least `offset_x` from the inside minimum-x edge of `outer`.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
        `offset_x` - The offset from the minimum-x edge
        `offset_y` - The offset from the minimum-y edge
      Returns:
        An aligned area

    - #### alignMinYMaxX

          public static AreaBI alignMinYMaxX(AreaBI outer,
                                             AreaBI inner)

      Equivalent to calling `alignMinYMaxXOffset(AreaBI, AreaBI, java.math.BigInteger, java.math.BigInteger)` with zero offsets.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
      Returns:
        An aligned area

    - #### alignMinYMaxXOffset

          public static AreaBI alignMinYMaxXOffset(AreaBI outer,
                                                   AreaBI inner,
                                                   BigInteger offset_x,
                                                   BigInteger offset_y)

      Align the area `inner` such that the minimum-y edge is at least `offset_y` from the inside minimum-y edge of `outer` and the maximum-x edge is at least `offset_x` from the inside maximum-x edge of `outer`.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
        `offset_x` - The offset from the maximum-x edge
        `offset_y` - The offset from the minimum-y edge
      Returns:
        An aligned area

    - #### alignMaxYMinX

          public static AreaBI alignMaxYMinX(AreaBI outer,
                                             AreaBI inner)

      Equivalent to calling `alignMaxYMinXOffset(AreaBI, AreaBI, java.math.BigInteger, java.math.BigInteger)` with zero offsets.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
      Returns:
        An aligned area

    - #### alignMaxYMinXOffset

          public static AreaBI alignMaxYMinXOffset(AreaBI outer,
                                                   AreaBI inner,
                                                   BigInteger offset_x,
                                                   BigInteger offset_y)

      Align the area `inner` such that the maximum-y edge is at least `offset_y` from the inside maximum-y edge of `outer` and the minimum-x edge is at least `offset_x` from the inside minimum-x edge of `outer`.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
        `offset_x` - The offset from the minimum-x edge
        `offset_y` - The offset from the maximum-y edge
      Returns:
        An aligned area

    - #### alignMaxYMaxX

          public static AreaBI alignMaxYMaxX(AreaBI outer,
                                             AreaBI inner)

      Equivalent to calling `alignMaxYMaxXOffset(AreaBI, AreaBI, java.math.BigInteger, java.math.BigInteger)` with zero offsets.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
      Returns:
        An aligned area

    - #### alignMaxYMaxXOffset

          public static AreaBI alignMaxYMaxXOffset(AreaBI outer,
                                                   AreaBI inner,
                                                   BigInteger offset_x,
                                                   BigInteger offset_y)

      Align the area `inner` such that the maximum-y edge is at least `offset_y` from the inside maximum-y edge of `outer` and the maximum-x edge is at least `offset_x` from the inside maximum-x edge of `outer`.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
        `offset_x` - The offset from the maximum-x edge
        `offset_y` - The offset from the maximum-y edge
      Returns:
        An aligned area

    - #### alignCenter

          public static AreaBI alignCenter(AreaBI outer,
                                           AreaBI inner)

      Align the area `inner` such that the center of the area is equal to the center of `outer`.
      Parameters:
        `outer` - The outer area
        `inner` - The inner area
      Returns:
        An aligned area

    - #### hollowOut

          public static AreaBI hollowOut(AreaBI outer,
                                         BigInteger min_x_offset,
                                         BigInteger max_x_offset,
                                         BigInteger min_y_offset,
                                         BigInteger max_y_offset)

      Construct a new area that fits inside `outer` based on the given offsets from each edge.
      Parameters:
        `outer` - The containing area
        `min_x_offset` - The offset from the minimum-x edge (must be non-negative)
        `max_x_offset` - The offset from the maximum-x edge (must be non-negative)
        `min_y_offset` - The offset from the minimum-y edge (must be non-negative)
        `max_y_offset` - The offset from the maximum-y edge (must be non-negative)
      Returns:
        A new area

    - #### hollowOutEvenly

          public static AreaBI hollowOutEvenly(AreaBI outer,
                                               BigInteger offset)

      Equivalent to calling `hollowOut(AreaBI, java.math.BigInteger, java.math.BigInteger, java.math.BigInteger, java.math.BigInteger)` with `offset` for all offset parameters.
      Parameters:
        `outer` - The containing area
        `offset` - The offset from each edge (must be non-negative)
      Returns:
        A new area

    - #### setSizeFromCenter

          public static AreaBI setSizeFromCenter(AreaBI area,
                                                 BigInteger width,
                                                 BigInteger height)

      Set the width and height of `area` to `width` and `height`, respectively.

      The area is resized from its own center.

      Parameters:
        `area` - The area
        `width` - The new width (must be non-negative)
        `height` - The new height (must be non-negative)
      Returns:
        A resized area

    - #### setSizeFromMinYMinX

          public static AreaBI setSizeFromMinYMinX(AreaBI area,
                                                   BigInteger width,
                                                   BigInteger height)

      Set the width and height of `area` to `width` and `height`, respectively.

      The area is resized by moving its minimum-y-minimum-x corner.

      Parameters:
        `area` - The area
        `width` - The new width (must be non-negative)
        `height` - The new height (must be non-negative)
      Returns:
        A resized area

    - #### setSizeFromMinYMaxX

          public static AreaBI setSizeFromMinYMaxX(AreaBI area,
                                                   BigInteger width,
                                                   BigInteger height)

      Set the width and height of `area` to `width` and `height`, respectively.

      The area is resized by moving its minimum-y-maximum-x corner.

      Parameters:
        `area` - The area
        `width` - The new width (must be non-negative)
        `height` - The new height (must be non-negative)
      Returns:
        A resized area

    - #### setSizeFromMaxYMaxX

          public static AreaBI setSizeFromMaxYMaxX(AreaBI area,
                                                   BigInteger width,
                                                   BigInteger height)

      Set the width and height of `area` to `width` and `height`, respectively.

      The area is resized by moving its maximum-y-maximum-x corner.

      Parameters:
        `area` - The area
        `width` - The new width (must be non-negative)
        `height` - The new height (must be non-negative)
      Returns:
        A resized area

    - #### setSizeFromMaxYMinX

          public static AreaBI setSizeFromMaxYMinX(AreaBI area,
                                                   BigInteger width,
                                                   BigInteger height)

      Set the width and height of `area` to `width` and `height`, respectively.

      The area is resized by moving its maximum-y-minimum-x corner.

      Parameters:
        `area` - The area
        `width` - The new width (must be non-negative)
        `height` - The new height (must be non-negative)
      Returns:
        A resized area

    - #### scaleFromMinYMinX

          public static AreaBI scaleFromMinYMinX(AreaBI area,
                                                 BigInteger x_diff,
                                                 BigInteger y_diff)

      Scale `area` by adding `x_diff` to the width, and `y_diff` to the height. The size of the resulting area is clamped so that its width and height are always non-negative.

      The area is resized by moving its minimum-y-minimum-x corner.

      Parameters:
        `area` - The area
        `x_diff` - The X difference
        `y_diff` - The Y difference
      Returns:
        A resized area

    - #### scaleFromMinYMaxX

          public static AreaBI scaleFromMinYMaxX(AreaBI area,
                                                 BigInteger x_diff,
                                                 BigInteger y_diff)

      Scale `area` by adding `x_diff` to the width, and `y_diff` to the height. The size of the resulting area is clamped so that its width and height are always non-negative.

      The area is resized by moving its minimum-y-maximum-x corner.

      Parameters:
        `area` - The area
        `x_diff` - The X difference
        `y_diff` - The Y difference
      Returns:
        A resized area

    - #### scaleFromMaxYMinX

          public static AreaBI scaleFromMaxYMinX(AreaBI area,
                                                 BigInteger x_diff,
                                                 BigInteger y_diff)

      Scale `area` by adding `x_diff` to the width, and `y_diff` to the height. The size of the resulting area is clamped so that its width and height are always non-negative.

      The area is resized by moving its maximum-y-minimum-x corner.

      Parameters:
        `area` - The area
        `x_diff` - The X difference
        `y_diff` - The Y difference
      Returns:
        A resized area

    - #### scaleFromMaxYMaxX

          public static AreaBI scaleFromMaxYMaxX(AreaBI area,
                                                 BigInteger x_diff,
                                                 BigInteger y_diff)

      Scale `area` by adding `x_diff` to the width, and `y_diff` to the height. The size of the resulting area is clamped so that its width and height are always non-negative.

      The area is resized by moving its maximum-y-maximum-x corner.

      Parameters:
        `area` - The area
        `x_diff` - The X difference
        `y_diff` - The Y difference
      Returns:
        A resized area

    - #### scaleFromCenter

          public static AreaBI scaleFromCenter(AreaBI area,
                                               BigInteger x_diff,
                                               BigInteger y_diff)

      Scale `area` by adding `x_diff` to the width, and `y_diff` to the height. The size of the resulting area is clamped so that its width and height are always non-negative.

      The area is resized from its own center.

      Parameters:
        `area` - The area
        `x_diff` - The X difference
        `y_diff` - The Y difference
      Returns:
        A resized area

    - #### overlaps

          public static boolean overlaps(AreaBI a,
                                         AreaBI b)

      Determine whether or not two areas overlap.

      Overlapping is reflexive: `overlaps(a, a) == true`.

      Overlapping is symmetric: `overlaps(a, b) == contains(b, a)`.

      Overlapping is not necessarily transitive.

      Parameters:
        `a` - An area
        `b` - An area
      Returns:
        `true` iff `a` overlaps `b`

    - #### couldFitInside

          public static boolean couldFitInside(AreaBI a,
                                               AreaBI b)

      Determine whether or not one area could fit inside another.

      Fitting is reflexive: `couldFitInside(a, a) == true`.

      Fitting is transitive: `couldFitInside(a, b) → couldFitInside(b, c) → couldFitInside(a, c)`.

      Fitting is not necessarily symmetric.

      Parameters:
        `a` - An area
        `b` - An area
      Returns:
        `true` iff `a` could fit inside `b`

    - #### containing

          public static AreaBI containing(AreaBI a,
                                          AreaBI b)

      Construct a area that will contain both `a` and `b`.
      Parameters:
        `a` - An area
        `b` - An area
      Returns:
        An area containing `a` and `b`

    - #### containsPoint

          public static boolean containsPoint(AreaBI a,
                                              BigInteger x,
                                              BigInteger y)

      Determine whether or not a area contains a given point.

      Parameters:
        `a` - An area
        `x` - The X coordinate of the point
        `y` - The Y coordinate of the point
      Returns:
        `true` iff `a` contains `(x, y)`

    - #### fitBetweenHorizontal

          public static AreaBI fitBetweenHorizontal(AreaBI fit,
                                                    AreaBI a,
                                                    AreaBI b)

      Attempt to fit `fit` between `a` and `b`, horizontally.
      Parameters:
        `fit` - The area to be fitted
        `a` - An area
        `b` - An area
      Returns:
        A fitted area

    - #### fitBetweenVertical

          public static AreaBI fitBetweenVertical(AreaBI fit,
                                                  AreaBI a,
                                                  AreaBI b)

      Attempt to fit `fit` between `a` and `b`, vertically.
      Parameters:
        `fit` - The area to be fitted
        `a` - An area
        `b` - An area
      Returns:
        A fitted area

    - #### splitAlongParallelToX

          public static AreaXSplitBI<AreaBI> splitAlongParallelToX(AreaBI area,
                                                                   BigInteger y)

      Split `area` along a line parallel to the X axis placed at `y` units from its own minimum-y edge.
      Parameters:
        `area` - The area to be split
        `y` - The relative Y coordinate of the splitting edge
      Returns:
        A pair of areas

    - #### splitAlongParallelToY

          public static AreaYSplitBI<AreaBI> splitAlongParallelToY(AreaBI area,
                                                                   BigInteger x)

      Split `area` along a line parallel to the Y axis placed at `x` units from its own minimum-x edge.
      Parameters:
        `area` - The area to be split
        `x` - The relative X coordinate of the splitting edge
      Returns:
        A pair of areas

    - #### show

          public static String show(AreaBI area)

      Parameters:
        `area` - The area
      Returns:
        A terse string describing the position and size of the area

    - #### showToBuilder

          public static String showToBuilder(AreaBI area,
                                             StringBuilder sb)

      Parameters:
        `area` - The area
        `sb` - A string builder
      Returns:
        A terse string describing the position and size of the area

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