com.io7m.jregions.core.parameterized.areas

Class PAreasBI

java.lang.Object

com.io7m.jregions.core.parameterized.areas.PAreasBI

public final class PAreasBI
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

Modifier and Type	Method and Description
static <S> PAreaBI<S>	alignCenter(PAreaBI<S> outer, PAreaBI<S> inner) Align the area inner such that the center of the area is equal to the center of outer.
static <S> PAreaBI<S>	alignHorizontallyCenter(PAreaBI<S> outer, PAreaBI<S> inner) Align the area inner horizontally in the center of outer.
static <S> PAreaBI<S>	alignHorizontallyMaxX(PAreaBI<S> outer, PAreaBI<S> inner) Equivalent to calling alignHorizontallyMaxXOffset(PAreaBI, PAreaBI, java.math.BigInteger) with a zero offset.
static <S> PAreaBI<S>	alignHorizontallyMaxXOffset(PAreaBI<S> outer, PAreaBI<S> inner, BigInteger offset) Align the area inner horizontally against the inside maximum-x edge of outer.
static <S> PAreaBI<S>	alignHorizontallyMinX(PAreaBI<S> outer, PAreaBI<S> inner) Equivalent to calling alignHorizontallyMinXOffset(PAreaBI, PAreaBI, java.math.BigInteger) with a zero offset.
static <S> PAreaBI<S>	alignHorizontallyMinXOffset(PAreaBI<S> outer, PAreaBI<S> inner, BigInteger offset) Align the area inner horizontally against the inside minimum-x edge of outer.
static <S> PAreaBI<S>	alignMaxYMaxX(PAreaBI<S> outer, PAreaBI<S> inner) Equivalent to calling alignMaxYMaxXOffset(PAreaBI, PAreaBI, java.math.BigInteger, java.math.BigInteger) with zero offsets.
static <S> PAreaBI<S>	alignMaxYMaxXOffset(PAreaBI<S> outer, PAreaBI<S> 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 <S> PAreaBI<S>	alignMaxYMinX(PAreaBI<S> outer, PAreaBI<S> inner) Equivalent to calling alignMaxYMinXOffset(PAreaBI, PAreaBI, java.math.BigInteger, java.math.BigInteger) with zero offsets.
static <S> PAreaBI<S>	alignMaxYMinXOffset(PAreaBI<S> outer, PAreaBI<S> 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 <S> PAreaBI<S>	alignMinYMaxX(PAreaBI<S> outer, PAreaBI<S> inner) Equivalent to calling alignMinYMaxXOffset(PAreaBI, PAreaBI, java.math.BigInteger, java.math.BigInteger) with zero offsets.
static <S> PAreaBI<S>	alignMinYMaxXOffset(PAreaBI<S> outer, PAreaBI<S> 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 <S> PAreaBI<S>	alignMinYMinX(PAreaBI<S> outer, PAreaBI<S> inner) Equivalent to calling alignMinYMinXOffset(PAreaBI, PAreaBI, java.math.BigInteger, java.math.BigInteger) with zero offsets.
static <S> PAreaBI<S>	alignMinYMinXOffset(PAreaBI<S> outer, PAreaBI<S> 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 <S> PAreaBI<S>	alignVerticallyCenter(PAreaBI<S> outer, PAreaBI<S> inner) Align the area inner vertically in the center of outer.
static <S> PAreaBI<S>	alignVerticallyMaxY(PAreaBI<S> outer, PAreaBI<S> inner) Equivalent to calling alignVerticallyMaxYOffset(PAreaBI, PAreaBI, java.math.BigInteger) with a zero offset.
static <S> PAreaBI<S>	alignVerticallyMaxYOffset(PAreaBI<S> outer, PAreaBI<S> inner, BigInteger offset) Align the area inner vertically against the inside maximum-y edge of outer.
static <S> PAreaBI<S>	alignVerticallyMinY(PAreaBI<S> outer, PAreaBI<S> inner) Equivalent to calling alignVerticallyMinYOffset(PAreaBI, PAreaBI, java.math.BigInteger) with a zero offset.
static <S> PAreaBI<S>	alignVerticallyMinYOffset(PAreaBI<S> outer, PAreaBI<S> inner, BigInteger offset) Align the area inner vertically against the inside minimum-y edge of outer.
static <S,T> PAreaBI<T>	cast(PAreaBI<S> area) Brand a given area as belonging to a different coordinate space.
static <S> PAreaBI<S>	containing(PAreaBI<S> a, PAreaBI<S> b) Construct a area that will contain both a and b.
static <S> boolean	contains(PAreaBI<S> a, PAreaBI<S> b) Determine whether or not one area contains another.
static <S> boolean	containsPoint(PAreaBI<S> a, BigInteger x, BigInteger y) Determine whether or not a area contains a given point.
static <S> boolean	couldFitInside(PAreaBI<S> a, PAreaBI<S> b) Determine whether or not one area could fit inside another.
static <S> PAreaBI<S>	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 <S> PAreaBI<S>	fitBetweenHorizontal(PAreaBI<S> fit, PAreaBI<S> a, PAreaBI<S> b) Attempt to fit fit between a and b, horizontally.
static <S> PAreaBI<S>	fitBetweenVertical(PAreaBI<S> fit, PAreaBI<S> a, PAreaBI<S> b) Attempt to fit fit between a and b, vertically.
static <S> PAreaBI<S>	hollowOut(PAreaBI<S> 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 <S> PAreaBI<S>	hollowOutEvenly(PAreaBI<S> outer, BigInteger offset) Equivalent to calling hollowOut(PAreaBI, java.math.BigInteger, java.math.BigInteger, java.math.BigInteger, java.math.BigInteger) with offset for all offset parameters.
static <S> PAreaBI<S>	moveAbsolute(PAreaBI<S> area, BigInteger x, BigInteger y) Move the given area to (x, y).
static <S> PAreaBI<S>	moveRelative(PAreaBI<S> area, BigInteger x, BigInteger y) Move the given area by (x, y).
static <S> PAreaBI<S>	moveToOrigin(PAreaBI<S> area) Move the given area to (0, 0).
static <S> boolean	overlaps(PAreaBI<S> a, PAreaBI<S> b) Determine whether or not two areas overlap.
static <S> PAreaBI<S>	scaleFromCenter(PAreaBI<S> area, BigInteger x_diff, BigInteger y_diff) Scale area by adding x_diff to the width, and y_diff to the height.
static <S> PAreaBI<S>	scaleFromMaxYMaxX(PAreaBI<S> area, BigInteger x_diff, BigInteger y_diff) Scale area by adding x_diff to the width, and y_diff to the height.
static <S> PAreaBI<S>	scaleFromMaxYMinX(PAreaBI<S> area, BigInteger x_diff, BigInteger y_diff) Scale area by adding x_diff to the width, and y_diff to the height.
static <S> PAreaBI<S>	scaleFromMinYMaxX(PAreaBI<S> area, BigInteger x_diff, BigInteger y_diff) Scale area by adding x_diff to the width, and y_diff to the height.
static <S> PAreaBI<S>	scaleFromMinYMinX(PAreaBI<S> area, BigInteger x_diff, BigInteger y_diff) Scale area by adding x_diff to the width, and y_diff to the height.
static <S> PAreaBI<S>	setSizeFromCenter(PAreaBI<S> area, BigInteger width, BigInteger height) Set the width and height of area to width and height, respectively.
static <S> PAreaBI<S>	setSizeFromMaxYMaxX(PAreaBI<S> area, BigInteger width, BigInteger height) Set the width and height of area to width and height, respectively.
static <S> PAreaBI<S>	setSizeFromMaxYMinX(PAreaBI<S> area, BigInteger width, BigInteger height) Set the width and height of area to width and height, respectively.
static <S> PAreaBI<S>	setSizeFromMinYMaxX(PAreaBI<S> area, BigInteger width, BigInteger height) Set the width and height of area to width and height, respectively.
static <S> PAreaBI<S>	setSizeFromMinYMinX(PAreaBI<S> area, BigInteger width, BigInteger height) Set the width and height of area to width and height, respectively.
static <S> String	show(PAreaBI<S> area)
static <S> String	showToBuilder(PAreaBI<S> area, StringBuilder sb)
static <S> PAreaXSplitBI<S,PAreaBI<S>>	splitAlongParallelToX(PAreaBI<S> area, BigInteger y) Split area along a line parallel to the X axis placed at y units from its own minimum-y edge.
static <S> PAreaYSplitBI<S,PAreaBI<S>>	splitAlongParallelToY(PAreaBI<S> 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 <S> PAreaBI<S> 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).

Type Parameters:

S - The coordinate space of the area

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 <S> boolean contains(PAreaBI<S> a,
                                   PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the areas

Parameters:

a - Area A

b - Area B

Returns:

true iff a contains b

moveRelative

public static <S> PAreaBI<S> moveRelative(PAreaBI<S> area,
                                          BigInteger x,
                                          BigInteger y)

Move the given area by (x, y).

Type Parameters:

S - The coordinate space of the area

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 <S> PAreaBI<S> moveAbsolute(PAreaBI<S> area,
                                          BigInteger x,
                                          BigInteger y)

Move the given area to (x, y).

Type Parameters:

S - The coordinate space of the area

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 <S> PAreaBI<S> moveToOrigin(PAreaBI<S> area)

Move the given area to (0, 0).

Type Parameters:

S - The coordinate space of the area

Parameters:

area - The area

Returns:

A moved area

cast

public static <S,T> PAreaBI<T> cast(PAreaBI<S> area)

Brand a given area as belonging to a different coordinate space. Mixing up coordinate spaces is a common source of difficult-to-locate bugs. Use at your own risk.

Type Parameters:

S - The starting coordinate space

T - The resulting coordinate space

Parameters:

area - An area

Returns:

area

alignHorizontallyCenter

public static <S> PAreaBI<S> alignHorizontallyCenter(PAreaBI<S> outer,
                                                     PAreaBI<S> inner)

Align the area inner horizontally in the center of outer.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

Returns:

An aligned area

alignHorizontallyMinX

public static <S> PAreaBI<S> alignHorizontallyMinX(PAreaBI<S> outer,
                                                   PAreaBI<S> inner)

Equivalent to calling alignHorizontallyMinXOffset(PAreaBI, PAreaBI, java.math.BigInteger) with a zero offset.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

Returns:

An aligned area

alignHorizontallyMinXOffset

public static <S> PAreaBI<S> alignHorizontallyMinXOffset(PAreaBI<S> outer,
                                                         PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

offset - The offset from the edge

Returns:

An aligned area

alignHorizontallyMaxX

public static <S> PAreaBI<S> alignHorizontallyMaxX(PAreaBI<S> outer,
                                                   PAreaBI<S> inner)

Equivalent to calling alignHorizontallyMaxXOffset(PAreaBI, PAreaBI, java.math.BigInteger) with a zero offset.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

Returns:

An aligned area

alignHorizontallyMaxXOffset

public static <S> PAreaBI<S> alignHorizontallyMaxXOffset(PAreaBI<S> outer,
                                                         PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

offset - The offset from the edge

Returns:

An aligned area

alignVerticallyMinY

public static <S> PAreaBI<S> alignVerticallyMinY(PAreaBI<S> outer,
                                                 PAreaBI<S> inner)

Equivalent to calling alignVerticallyMinYOffset(PAreaBI, PAreaBI, java.math.BigInteger) with a zero offset.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

Returns:

An aligned area

alignVerticallyMinYOffset

public static <S> PAreaBI<S> alignVerticallyMinYOffset(PAreaBI<S> outer,
                                                       PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

offset - The offset from the edge

Returns:

An aligned area

alignVerticallyMaxY

public static <S> PAreaBI<S> alignVerticallyMaxY(PAreaBI<S> outer,
                                                 PAreaBI<S> inner)

Equivalent to calling alignVerticallyMaxYOffset(PAreaBI, PAreaBI, java.math.BigInteger) with a zero offset.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

Returns:

An aligned area

alignVerticallyMaxYOffset

public static <S> PAreaBI<S> alignVerticallyMaxYOffset(PAreaBI<S> outer,
                                                       PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

offset - The offset from the edge

Returns:

An aligned area

alignVerticallyCenter

public static <S> PAreaBI<S> alignVerticallyCenter(PAreaBI<S> outer,
                                                   PAreaBI<S> inner)

Align the area inner vertically in the center of outer.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

Returns:

An aligned area

alignMinYMinX

public static <S> PAreaBI<S> alignMinYMinX(PAreaBI<S> outer,
                                           PAreaBI<S> inner)

Equivalent to calling alignMinYMinXOffset(PAreaBI, PAreaBI, java.math.BigInteger, java.math.BigInteger) with zero offsets.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

Returns:

An aligned area

alignMinYMinXOffset

public static <S> PAreaBI<S> alignMinYMinXOffset(PAreaBI<S> outer,
                                                 PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the areas

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 <S> PAreaBI<S> alignMinYMaxX(PAreaBI<S> outer,
                                           PAreaBI<S> inner)

Equivalent to calling alignMinYMaxXOffset(PAreaBI, PAreaBI, java.math.BigInteger, java.math.BigInteger) with zero offsets.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

Returns:

An aligned area

alignMinYMaxXOffset

public static <S> PAreaBI<S> alignMinYMaxXOffset(PAreaBI<S> outer,
                                                 PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the areas

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 <S> PAreaBI<S> alignMaxYMinX(PAreaBI<S> outer,
                                           PAreaBI<S> inner)

Equivalent to calling alignMaxYMinXOffset(PAreaBI, PAreaBI, java.math.BigInteger, java.math.BigInteger) with zero offsets.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

Returns:

An aligned area

alignMaxYMinXOffset

public static <S> PAreaBI<S> alignMaxYMinXOffset(PAreaBI<S> outer,
                                                 PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the areas

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 <S> PAreaBI<S> alignMaxYMaxX(PAreaBI<S> outer,
                                           PAreaBI<S> inner)

Equivalent to calling alignMaxYMaxXOffset(PAreaBI, PAreaBI, java.math.BigInteger, java.math.BigInteger) with zero offsets.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

Returns:

An aligned area

alignMaxYMaxXOffset

public static <S> PAreaBI<S> alignMaxYMaxXOffset(PAreaBI<S> outer,
                                                 PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the areas

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 <S> PAreaBI<S> alignCenter(PAreaBI<S> outer,
                                         PAreaBI<S> inner)

Align the area inner such that the center of the area is equal to the center of outer.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The outer area

inner - The inner area

Returns:

An aligned area

hollowOut

public static <S> PAreaBI<S> hollowOut(PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the areas

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 <S> PAreaBI<S> hollowOutEvenly(PAreaBI<S> outer,
                                             BigInteger offset)

Equivalent to calling hollowOut(PAreaBI, java.math.BigInteger, java.math.BigInteger, java.math.BigInteger, java.math.BigInteger) with offset for all offset parameters.

Type Parameters:

S - The coordinate space of the areas

Parameters:

outer - The containing area

offset - The offset from each edge (must be non-negative)

Returns:

A new area

setSizeFromCenter

public static <S> PAreaBI<S> setSizeFromCenter(PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the area

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 <S> PAreaBI<S> setSizeFromMinYMinX(PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the area

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 <S> PAreaBI<S> setSizeFromMinYMaxX(PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the area

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 <S> PAreaBI<S> setSizeFromMaxYMaxX(PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the area

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 <S> PAreaBI<S> setSizeFromMaxYMinX(PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the area

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 <S> PAreaBI<S> scaleFromMinYMinX(PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the area

Parameters:

area - The area

x_diff - The X difference

y_diff - The Y difference

Returns:

A resized area

scaleFromMinYMaxX

public static <S> PAreaBI<S> scaleFromMinYMaxX(PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the area

Parameters:

area - The area

x_diff - The X difference

y_diff - The Y difference

Returns:

A resized area

scaleFromMaxYMinX

public static <S> PAreaBI<S> scaleFromMaxYMinX(PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the area

Parameters:

area - The area

x_diff - The X difference

y_diff - The Y difference

Returns:

A resized area

scaleFromMaxYMaxX

public static <S> PAreaBI<S> scaleFromMaxYMaxX(PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the area

Parameters:

area - The area

x_diff - The X difference

y_diff - The Y difference

Returns:

A resized area

scaleFromCenter

public static <S> PAreaBI<S> scaleFromCenter(PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the area

Parameters:

area - The area

x_diff - The X difference

y_diff - The Y difference

Returns:

A resized area

overlaps

public static <S> boolean overlaps(PAreaBI<S> a,
                                   PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the areas

Parameters:

a - An area

b - An area

Returns:

true iff a overlaps b

couldFitInside

public static <S> boolean couldFitInside(PAreaBI<S> a,
                                         PAreaBI<S> 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.

Type Parameters:

S - The coordinate space of the areas

Parameters:

a - An area

b - An area

Returns:

true iff a could fit inside b

containing

public static <S> PAreaBI<S> containing(PAreaBI<S> a,
                                        PAreaBI<S> b)

Construct a area that will contain both a and b.

Type Parameters:

S - The coordinate space of the areas

Parameters:

a - An area

b - An area

Returns:

An area containing a and b

containsPoint

public static <S> boolean containsPoint(PAreaBI<S> a,
                                        BigInteger x,
                                        BigInteger y)

Determine whether or not a area contains a given point.

Type Parameters:

S - The coordinate space of the area

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 <S> PAreaBI<S> fitBetweenHorizontal(PAreaBI<S> fit,
                                                  PAreaBI<S> a,
                                                  PAreaBI<S> b)

Attempt to fit fit between a and b, horizontally.

Type Parameters:

S - The coordinate space of the areas

Parameters:

fit - The area to be fitted

a - An area

b - An area

Returns:

A fitted area

fitBetweenVertical

public static <S> PAreaBI<S> fitBetweenVertical(PAreaBI<S> fit,
                                                PAreaBI<S> a,
                                                PAreaBI<S> b)

Attempt to fit fit between a and b, vertically.

Type Parameters:

S - The coordinate space of the areas

Parameters:

fit - The area to be fitted

a - An area

b - An area

Returns:

A fitted area

splitAlongParallelToX

public static <S> PAreaXSplitBI<S,PAreaBI<S>> splitAlongParallelToX(PAreaBI<S> area,
                                                                    BigInteger y)

Split area along a line parallel to the X axis placed at y units from its own minimum-y edge.

Type Parameters:

S - The coordinate space of the areas

Parameters:

area - The area to be split

y - The relative Y coordinate of the splitting edge

Returns:

A pair of areas

splitAlongParallelToY

public static <S> PAreaYSplitBI<S,PAreaBI<S>> splitAlongParallelToY(PAreaBI<S> area,
                                                                    BigInteger x)

Split area along a line parallel to the Y axis placed at x units from its own minimum-x edge.

Type Parameters:

S - The coordinate space of the areas

Parameters:

area - The area to be split

x - The relative X coordinate of the splitting edge

Returns:

A pair of areas

show

public static <S> String show(PAreaBI<S> area)

Type Parameters:

S - The coordinate space of the area

Parameters:

area - The area

Returns:

A terse string describing the position and size of the area

showToBuilder

public static <S> String showToBuilder(PAreaBI<S> area,
                                       StringBuilder sb)

Type Parameters:

S - The coordinate space of the area

Parameters:

area - The area

sb - A string builder

Returns:

A terse string describing the position and size of the area