Class reference
Vector3i
A 3D vector using integer coordinates.
Description
A 3-element structure that can be used to represent 3D grid coordinates or any other triplet of integers. It uses integer coordinates and is therefore preferable to Vector3 when exact precision is required. Note that the values are limited to 32 bits, and unlike Vector3 this cannot be configured with an engine build option. Use int or PackedInt64Array if 64-bit values are needed. Note: In a boolean context, a Vector3i will evaluate to false if it's equal to Vector3i(0, 0, 0). Otherwise, a Vector3i will always evaluate to true.
Properties
Constructors
Vector3i Vector3i()
Vector3i Vector3i()Constructs a default-initialized Vector3i with all components set to 0.
Vector3i Vector3i(Vector3i from)
Vector3i Vector3i(Vector3i from)Vector3i Vector3i(Vector3 from)
Vector3i Vector3i(Vector3 from)Constructs a new Vector3i from the given Vector3 by truncating components' fractional parts (rounding towards zero). For a different behavior consider passing the result of Vector3.ceil(), Vector3.floor() or Vector3.round() to this constructor instead.
Vector3i Vector3i(int x, int y, int z)
Vector3i Vector3i(int x, int y, int z)Returns a Vector3i with the given components.
Methods
Vector3i abs() const
Vector3i abs() constReturns a new vector with all components in absolute values (i.e. positive).
Vector3i clamp(Vector3i min, Vector3i max) const
Vector3i clamp(Vector3i min, Vector3i max) constReturns a new vector with all components clamped between the components of min and max, by running @GlobalScope.clamp() on each component.
Vector3i clampi(int min, int max) const
Vector3i clampi(int min, int max) constReturns a new vector with all components clamped between min and max, by running @GlobalScope.clamp() on each component.
int distance_squared_to(Vector3i to) const
int distance_squared_to(Vector3i to) constReturns the squared distance between this vector and to. This method runs faster than distance_to(), so prefer it if you need to compare vectors or need the squared distance for some formula.
float distance_to(Vector3i to) const
float distance_to(Vector3i to) constReturns the distance between this vector and to.
float length() const
float length() constReturns the length (magnitude) of this vector.
int length_squared() const
int length_squared() constReturns the squared length (squared magnitude) of this vector. This method runs faster than length(), so prefer it if you need to compare vectors or need the squared distance for some formula.
Vector3i max(Vector3i with) const
Vector3i max(Vector3i with) constReturns the component-wise maximum of this and with, equivalent to Vector3i(maxi(x, with.x), maxi(y, with.y), maxi(z, with.z)).
int max_axis_index() const
int max_axis_index() constReturns the axis of the vector's highest value. See AXIS_* constants. If all components are equal, this method returns AXIS_X.
Vector3i maxi(int with) const
Vector3i maxi(int with) constReturns the component-wise maximum of this and with, equivalent to Vector3i(maxi(x, with), maxi(y, with), maxi(z, with)).
Vector3i min(Vector3i with) const
Vector3i min(Vector3i with) constReturns the component-wise minimum of this and with, equivalent to Vector3i(mini(x, with.x), mini(y, with.y), mini(z, with.z)).
int min_axis_index() const
int min_axis_index() constReturns the axis of the vector's lowest value. See AXIS_* constants. If all components are equal, this method returns AXIS_Z.
Vector3i mini(int with) const
Vector3i mini(int with) constReturns the component-wise minimum of this and with, equivalent to Vector3i(mini(x, with), mini(y, with), mini(z, with)).
Vector3i sign() const
Vector3i sign() constReturns a new vector with each component set to 1 if it's positive, -1 if it's negative, and 0 if it's zero. The result is identical to calling @GlobalScope.sign() on each component.
Vector3i snapped(Vector3i step) const
Vector3i snapped(Vector3i step) constReturns a new vector with each component snapped to the closest multiple of the corresponding component in step.
Vector3i snappedi(int step) const
Vector3i snappedi(int step) constReturns a new vector with each component snapped to the closest multiple of step.
Constants
AXIS_X = 0
Enumerated value for the X axis. Returned by max_axis_index() and min_axis_index().
AXIS_Y = 1
Enumerated value for the Y axis. Returned by max_axis_index() and min_axis_index().
AXIS_Z = 2
Enumerated value for the Z axis. Returned by max_axis_index() and min_axis_index().
ZERO = Vector3i(0, 0, 0)
Zero vector, a vector with all components set to 0.
ONE = Vector3i(1, 1, 1)
One vector, a vector with all components set to 1.
MIN = Vector3i(-2147483648, -2147483648, -2147483648)
Min vector, a vector with all components equal to INT32_MIN. Can be used as a negative integer equivalent of Vector3.INF.
MAX = Vector3i(2147483647, 2147483647, 2147483647)
Max vector, a vector with all components equal to INT32_MAX. Can be used as an integer equivalent of Vector3.INF.
LEFT = Vector3i(-1, 0, 0)
Left unit vector. Represents the local direction of left, and the global direction of west.
RIGHT = Vector3i(1, 0, 0)
Right unit vector. Represents the local direction of right, and the global direction of east.
UP = Vector3i(0, 1, 0)
Up unit vector.
DOWN = Vector3i(0, -1, 0)
Down unit vector.
FORWARD = Vector3i(0, 0, -1)
Forward unit vector. Represents the local direction of forward, and the global direction of north.
BACK = Vector3i(0, 0, 1)
Back unit vector. Represents the local direction of back, and the global direction of south.
Operators
bool operator !=(Vector3i right)
bool operator !=(Vector3i right)Returns true if the vectors are not equal.
Vector3i operator %(Vector3i right)
Vector3i operator %(Vector3i right)Gets the remainder of each component of the Vector3i with the components of the given Vector3i. This operation uses truncated division, which is often not desired as it does not work well with negative numbers. Consider using @GlobalScope.posmod() instead if you want to handle negative numbers.
print(Vector3i(10, -20, 30) % Vector3i(7, 8, 9)) # Prints (3, -4, 3)
Vector3i operator %(int right)
Vector3i operator %(int right)Gets the remainder of each component of the Vector3i with the given int. This operation uses truncated division, which is often not desired as it does not work well with negative numbers. Consider using @GlobalScope.posmod() instead if you want to handle negative numbers.
print(Vector3i(10, -20, 30) % 7) # Prints (3, -6, 2)
Vector3i operator *(Vector3i right)
Vector3i operator *(Vector3i right)Multiplies each component of the Vector3i by the components of the given Vector3i.
print(Vector3i(10, 20, 30) * Vector3i(3, 4, 5)) # Prints (30, 80, 150)
Vector3 operator *(float right)
Vector3 operator *(float right)Multiplies each component of the Vector3i by the given float. Returns a Vector3.
print(Vector3i(10, 15, 20) * 0.9) # Prints (9.0, 13.5, 18.0)
Vector3i operator *(int right)
Vector3i operator *(int right)Vector3i operator +(Vector3i right)
Vector3i operator +(Vector3i right)Adds each component of the Vector3i by the components of the given Vector3i.
print(Vector3i(10, 20, 30) + Vector3i(3, 4, 5)) # Prints (13, 24, 35)
Vector3i operator -(Vector3i right)
Vector3i operator -(Vector3i right)Subtracts each component of the Vector3i by the components of the given Vector3i.
print(Vector3i(10, 20, 30) - Vector3i(3, 4, 5)) # Prints (7, 16, 25)
Vector3i operator /(Vector3i right)
Vector3i operator /(Vector3i right)Divides each component of the Vector3i by the components of the given Vector3i.
print(Vector3i(10, 20, 30) / Vector3i(2, 5, 3)) # Prints (5, 4, 10)
Vector3 operator /(float right)
Vector3 operator /(float right)Divides each component of the Vector3i by the given float. Returns a Vector3.
print(Vector3i(1, 2, 3) / 2.5) # Prints (0.4, 0.8, 1.2)
Vector3i operator /(int right)
Vector3i operator /(int right)bool operator <(Vector3i right)
bool operator <(Vector3i right)Compares two Vector3i vectors by first checking if the X value of the left vector is less than the X value of the right vector. If the X values are exactly equal, then it repeats this check with the Y values of the two vectors, and then with the Z values. This operator is useful for sorting vectors.
bool operator <=(Vector3i right)
bool operator <=(Vector3i right)Compares two Vector3i vectors by first checking if the X value of the left vector is less than or equal to the X value of the right vector. If the X values are exactly equal, then it repeats this check with the Y values of the two vectors, and then with the Z values. This operator is useful for sorting vectors.
bool operator ==(Vector3i right)
bool operator ==(Vector3i right)Returns true if the vectors are equal.
bool operator >(Vector3i right)
bool operator >(Vector3i right)Compares two Vector3i vectors by first checking if the X value of the left vector is greater than the X value of the right vector. If the X values are exactly equal, then it repeats this check with the Y values of the two vectors, and then with the Z values. This operator is useful for sorting vectors.
bool operator >=(Vector3i right)
bool operator >=(Vector3i right)Compares two Vector3i vectors by first checking if the X value of the left vector is greater than or equal to the X value of the right vector. If the X values are exactly equal, then it repeats this check with the Y values of the two vectors, and then with the Z values. This operator is useful for sorting vectors.
int operator [](int index)
int operator [](int index)Access vector components using their index. v[0] is equivalent to v.x, v[1] is equivalent to v.y, and v[2] is equivalent to v.z.
Vector3i operator unary+()
Vector3i operator unary+()Returns the same value as if the + was not there. Unary + does nothing, but sometimes it can make your code more readable.
Vector3i operator unary-()
Vector3i operator unary-()Returns the negative value of the Vector3i. This is the same as writing Vector3i(-v.x, -v.y, -v.z). This operation flips the direction of the vector while keeping the same magnitude.