com.io7m.jtensors

Class VectorI2I

java.lang.Object

com.io7m.jtensors.VectorI2I

All Implemented Interfaces:

VectorReadable2IType

public class VectorI2I
extends Object
implements VectorReadable2IType

A two-dimensional immutable vector type with integer elements.

Values of this type are immutable and can therefore be safely accessed from multiple threads.

Field Summary

Fields

Modifier and Type	Field and Description
static VectorI2I	ZERO The zero vector.

Constructor Summary

Constructors

Constructor and Description
VectorI2I() Default constructor, initializing the vector with values [0, 0, 0].
VectorI2I(int in_x, int in_y) Construct a vector initialized with the given values.
VectorI2I(VectorReadable2IType in_v) Construct a vector initialized with the values given in the vector v.

Method Summary

Modifier and Type	Method and Description
static VectorI2I	absolute(VectorReadable2IType v) Calculate the absolute values of the elements in vector v.
static VectorI2I	add(VectorReadable2IType v0, VectorReadable2IType v1) Calculate the element-wise sum of the vectors v0 and v1.
static VectorI2I	addScaled(VectorReadable2IType v0, VectorReadable2IType v1, double r) Calculate the element-wise sum of the vectors v0 and the element-wise product of v1 and r.
static double	angle(VectorReadable2IType v0, VectorReadable2IType v1) Calculate the angle between the vectors v0 and v1 in radians.
static VectorI2I	clamp(VectorReadable2IType v, int minimum, int maximum) Clamp the elements of the vector v to the range [minimum ..
static VectorI2I	clampByVector(VectorReadable2IType v, VectorReadable2IType minimum, VectorReadable2IType maximum) Clamp the elements of the vector v to the inclusive range given by the corresponding elements in minimum and maximum.
static VectorI2I	clampMaximum(VectorReadable2IType v, int maximum) Clamp the elements of the vector v to the range [-Infinity ..
static VectorI2I	clampMaximumByVector(VectorReadable2IType v, VectorReadable2IType maximum) Clamp the elements of the vector v to the inclusive range given by the corresponding elements in maximum.
static VectorI2I	clampMinimum(VectorReadable2IType v, int minimum) Clamp the elements of the vector v to the range [minimum ..
static VectorI2I	clampMinimumByVector(VectorReadable2IType v, VectorReadable2IType minimum) Clamp the elements of the vector v to the inclusive range given by the corresponding elements in minimum.
static int	distance(VectorReadable2IType v0, VectorReadable2IType v1) Calculate the distance between the two vectors v0 and v1.
static int	dotProduct(VectorReadable2IType v0, VectorReadable2IType v1) Calculate the scalar product of the vectors v0 and v1.
boolean	equals(Object obj)
int	getXI()
int	getYI()
int	hashCode()
static VectorI2I	interpolateLinear(VectorReadable2IType v0, VectorReadable2IType v1, double alpha) Linearly interpolate between v0 and v1 by the amount alpha.
static int	magnitude(VectorReadable2IType v) Calculate the magnitude of the vector v.
static int	magnitudeSquared(VectorReadable2IType v) Calculate the squared magnitude of the vector v.
static VectorI2I	projection(VectorReadable2IType p, VectorReadable2IType q) Calculate the projection of the vector p onto the vector q.
static VectorI2I	scale(VectorReadable2IType v, double r) Scale the vector v by the scalar r.
static VectorI2I	subtract(VectorReadable2IType v0, VectorReadable2IType v1) Subtract the vector v1 from the vector v0.
String	toString()

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Field Detail

ZERO

public static final VectorI2I ZERO

The zero vector.

Constructor Detail

VectorI2I

public VectorI2I()

Default constructor, initializing the vector with values [0, 0, 0].

VectorI2I

public VectorI2I(int in_x,
                 int in_y)

Construct a vector initialized with the given values.

Parameters:

in_x - The x value

in_y - The y value

VectorI2I

public VectorI2I(VectorReadable2IType in_v)

Construct a vector initialized with the values given in the vector v.

Parameters:

in_v - The input vector

Method Detail

absolute

public static final VectorI2I absolute(VectorReadable2IType v)
                                throws ArithmeticException

Calculate the absolute values of the elements in vector v.

Parameters:

v - The input vector

Returns:

(abs v.x, abs v.y, abs v.z)

Throws:

ArithmeticException - Iff an internal arithmetic operation causes an integer overflow

Since:

5.0.0

add

public static final VectorI2I add(VectorReadable2IType v0,
                                  VectorReadable2IType v1)
                           throws ArithmeticException

Calculate the element-wise sum of the vectors v0 and v1.

Parameters:

v0 - The left input vector

v1 - The right input vector

Returns:

(v0.x + v1.x, v0.y + v1.y)

Throws:

ArithmeticException - Iff an internal arithmetic operation causes an integer overflow

addScaled

public static final VectorI2I addScaled(VectorReadable2IType v0,
                                        VectorReadable2IType v1,
                                        double r)
                                 throws ArithmeticException

Calculate the element-wise sum of the vectors v0 and the element-wise product of v1 and r.

Parameters:

v0 - The left input vector

v1 - The right input vector

r - The scaling value

Returns:

(v0.x + (v1.x * r), v0.y + (v1.y * r))

Throws:

ArithmeticException - Iff an internal arithmetic operation causes an integer overflow

angle

public static final double angle(VectorReadable2IType v0,
                                 VectorReadable2IType v1)

Calculate the angle between the vectors v0 and v1 in radians.

Parameters:

v0 - The left input vector

v1 - The right input vector

Returns:

The angle between the two vectors, in radians.

clamp

public static final VectorI2I clamp(VectorReadable2IType v,
                                    int minimum,
                                    int maximum)

Clamp the elements of the vector v to the range [minimum .. maximum] inclusive.

Parameters:

v - The input vector

minimum - The minimum allowed value

maximum - The maximum allowed value

Returns:

A vector with both elements equal to at most maximum and at least minimum

Since:

5.0.0

clampByVector

public static final VectorI2I clampByVector(VectorReadable2IType v,
                                            VectorReadable2IType minimum,
                                            VectorReadable2IType maximum)

Clamp the elements of the vector v to the inclusive range given by the corresponding elements in minimum and maximum.

Parameters:

v - The input vector

minimum - The vector containing the minimum acceptable values

maximum - The vector containing the maximum acceptable values

Returns:

(min(max(v.x, minimum.x), maximum.x), min(max(v.y, minimum.y), maximum.y))

Since:

5.0.0

clampMaximum

public static final VectorI2I clampMaximum(VectorReadable2IType v,
                                           int maximum)

Clamp the elements of the vector v to the range [-Infinity .. maximum] inclusive.

Parameters:

v - The input vector

maximum - The maximum allowed value

Returns:

A vector with both elements equal to at most maximum

Since:

5.0.0

clampMaximumByVector

public static final VectorI2I clampMaximumByVector(VectorReadable2IType v,
                                                   VectorReadable2IType maximum)

Clamp the elements of the vector v to the inclusive range given by the corresponding elements in maximum.

Parameters:

v - The input vector

maximum - The vector containing the maximum acceptable values

Returns:

(min(v.x, maximum.x), min(v.y, maximum.y))

Since:

5.0.0

clampMinimum

public static final VectorI2I clampMinimum(VectorReadable2IType v,
                                           int minimum)

Clamp the elements of the vector v to the range [minimum .. Infinity] inclusive.

Parameters:

v - The input vector

minimum - The minimum allowed value

Returns:

A vector with both elements equal to at least minimum

Since:

5.0.0

clampMinimumByVector

public static final VectorI2I clampMinimumByVector(VectorReadable2IType v,
                                                   VectorReadable2IType minimum)

Clamp the elements of the vector v to the inclusive range given by the corresponding elements in minimum.

Parameters:

v - The input vector

minimum - The vector containing the minimum acceptable values

Returns:

(max(v.x, minimum.x), max(v.y, minimum.y))

Since:

5.0.0

distance

public static final int distance(VectorReadable2IType v0,
                                 VectorReadable2IType v1)
                          throws ArithmeticException

Calculate the distance between the two vectors v0 and v1.

Parameters:

v0 - The left input vector

v1 - The right input vector

Returns:

The distance between the two vectors.

Throws:

ArithmeticException - Iff an internal arithmetic operation causes an integer overflow

Since:

5.0.0

dotProduct

public static final int dotProduct(VectorReadable2IType v0,
                                   VectorReadable2IType v1)
                            throws ArithmeticException

Calculate the scalar product of the vectors v0 and v1.

Parameters:

v0 - The left input vector

v1 - The right input vector

Returns:

The scalar product of the two vectors

Throws:

ArithmeticException - Iff an internal arithmetic operation causes an integer overflow

Since:

5.0.0

interpolateLinear

public static final VectorI2I interpolateLinear(VectorReadable2IType v0,
                                                VectorReadable2IType v1,
                                                double alpha)
                                         throws ArithmeticException

Linearly interpolate between v0 and v1 by the amount alpha. The alpha parameter controls the degree of interpolation, such that:

• interpolateLinear(v0, v1, 0.0, r) -> r = v0
• interpolateLinear(v0, v1, 1.0, r) -> r = v1

Parameters:

v0 - The left input vector.

v1 - The right input vector.

alpha - The interpolation value, between 0.0 and 1.0.

Returns:

(1 - alpha) * v0 + alpha * v1

Throws:

ArithmeticException - Iff an internal arithmetic operation causes an integer overflow.

Since:

5.0.0

magnitude

public static final int magnitude(VectorReadable2IType v)
                           throws ArithmeticException

Calculate the magnitude of the vector v. Correspondingly, magnitude(normalize(v)) == 1.0.

Parameters:

v - The input vector

Returns:

The magnitude of the input vector

Throws:

ArithmeticException - Iff an internal arithmetic operation causes an integer overflow

Since:

5.0.0

magnitudeSquared

public static final int magnitudeSquared(VectorReadable2IType v)
                                  throws ArithmeticException

Calculate the squared magnitude of the vector v.

Parameters:

v - The input vector

Returns:

The squared magnitude of the input vector

Throws:

ArithmeticException - Iff an internal arithmetic operation causes an integer overflow

Since:

5.0.0

projection

public static final VectorI2I projection(VectorReadable2IType p,
                                         VectorReadable2IType q)
                                  throws ArithmeticException

Calculate the projection of the vector p onto the vector q.

Parameters:

p - The left vector

q - The right vector

Returns:

((dotProduct p q) / magnitudeSquared q) * q

Throws:

ArithmeticException - Iff an internal arithmetic operation causes an integer overflow

Since:

5.0.0

scale

public static final VectorI2I scale(VectorReadable2IType v,
                                    double r)
                             throws ArithmeticException

Scale the vector v by the scalar r.

Parameters:

v - The input vector

r - The scaling value

Returns:

(v.x * r, v.y * r)

Throws:

ArithmeticException - Iff an internal arithmetic operation causes an integer overflow

subtract

public static final VectorI2I subtract(VectorReadable2IType v0,
                                       VectorReadable2IType v1)
                                throws ArithmeticException

Subtract the vector v1 from the vector v0.

Parameters:

v0 - The left input vector

v1 - The right input vector

Returns:

(v0.x - v1.x, v0.y - v1.y)

Throws:

ArithmeticException - Iff an internal arithmetic operation causes an integer overflow

equals

public final boolean equals(@Nullable
                            Object obj)

Overrides:

equals in class Object

getXI

public final int getXI()

Specified by:

getXI in interface VectorReadable2IType

Returns:

The X value of the given vector.

getYI

public final int getYI()

Specified by:

getYI in interface VectorReadable2IType

Returns:

The Y value of the given vector.

hashCode

public final int hashCode()

Overrides:

hashCode in class Object

toString

public final String toString()

Overrides:

toString in class Object