Vector2i
A 2D vector using integer coordinates.
描述
A 2-element structure that can be used to represent 2D grid coordinates or any other pair of integers.
It uses integer coordinates and is therefore preferable to Vector2
when exact precision is required. Note that the values are limited to 32 bits, and unlike Vector2
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 Vector2i will evaluate to false
if it's equal to Vector2i(0, 0)
. Otherwise, a Vector2i will always evaluate to true
.
属性
构造函数
Vector2i | Vector2i ( ) |
Vector2i | Vector2i ( from: Vector2i ) |
Vector2i | Vector2i ( from: Vector2 ) |
Vector2i | Vector2i ( x: int , y: int ) |
方法
Vector2i | abs ( ) const1 |
float | aspect ( ) const1 |
Vector2i | clamp ( min: Vector2i , max: Vector2i ) const1 |
Vector2i | clampi ( min: int , max: int ) const1 |
int | distance_squared_to ( to: Vector2i ) const1 |
float | distance_to ( to: Vector2i ) const1 |
float | length ( ) const1 |
int | length_squared ( ) const1 |
Vector2i | max ( with: Vector2i ) const1 |
int | max_axis_index ( ) const1 |
Vector2i | maxi ( with: int ) const1 |
Vector2i | min ( with: Vector2i ) const1 |
int | min_axis_index ( ) const1 |
Vector2i | mini ( with: int ) const1 |
Vector2i | sign ( ) const1 |
Vector2i | snapped ( step: Vector2i ) const1 |
Vector2i | snappedi ( step: int ) const1 |
运算符
bool | operator != ( right: Vector2i ) |
Vector2i | operator % ( right: Vector2i ) |
Vector2i | operator % ( right: int ) |
Vector2i | operator * ( right: Vector2i ) |
Vector2 | operator * ( right: float ) |
Vector2i | operator * ( right: int ) |
Vector2i | operator + ( right: Vector2i ) |
Vector2i | operator - ( right: Vector2i ) |
Vector2i | operator / ( right: Vector2i ) |
Vector2 | operator / ( right: float ) |
Vector2i | operator / ( right: int ) |
bool | operator < ( right: Vector2i ) |
bool | operator <= ( right: Vector2i ) |
bool | operator == ( right: Vector2i ) |
bool | operator > ( right: Vector2i ) |
bool | operator >= ( right: Vector2i ) |
int | operator [] ( index: int ) |
Vector2i | operator unary+ ( ) |
Vector2i | operator unary- ( ) |
常量
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
.
ZERO = Vector2i(0, 0)
Zero vector, a vector with all components set to 0
.
ONE = Vector2i(1, 1)
One vector, a vector with all components set to 1
.
MIN = Vector2i(-2147483648, -2147483648)
Min vector, a vector with all components equal to INT32_MIN
. Can be used as a negative integer equivalent of Vector2.INF
.
MAX = Vector2i(2147483647, 2147483647)
Max vector, a vector with all components equal to INT32_MAX
. Can be used as an integer equivalent of Vector2.INF
.
LEFT = Vector2i(-1, 0)
Left unit vector. Represents the direction of left.
RIGHT = Vector2i(1, 0)
Right unit vector. Represents the direction of right.
UP = Vector2i(0, -1)
Up unit vector. Y is down in 2D, so this vector points -Y.
DOWN = Vector2i(0, 1)
Down unit vector. Y is down in 2D, so this vector points +Y.
属性说明
int
x = 0
The vector's X component. Also accessible by using the index position [0]
.
int
y = 0
The vector's Y component. Also accessible by using the index position [1]
.
构造函数说明
Vector2i
Vector2i ( )
Constructs a default-initialized Vector2i with all components set to 0
.
Vector2i
Vector2i ( from: Vector2i
)
Constructs a Vector2i as a copy of the given Vector2i.
Vector2i
Vector2i ( from: Vector2
)
Constructs a new Vector2i from the given Vector2
by truncating components' fractional parts (rounding towards zero). For a different behavior consider passing the result of Vector2.ceil
, Vector2.floor
or Vector2.round
to this constructor instead.
Vector2i
Vector2i ( x: int
, y: int
)
Constructs a new Vector2i from the given x
and y
.
方法说明
Returns a new vector with all components in absolute values (i.e. positive).
Returns the aspect ratio of this vector, the ratio of x
to y
.
Vector2i
clamp ( min: Vector2i
, max: Vector2i
) const1
Returns a new vector with all components clamped between the components of min
and max
, by running @GlobalScope.clamp
on each component.
Vector2i
clampi ( min: int
, max: int
) const1
Returns a new vector with all components clamped between min
and max
, by running @GlobalScope.clamp
on each component.
int
distance_squared_to ( to: Vector2i
) const1
Returns 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 ( to: Vector2i
) const1
Returns the distance between this vector and to
.
Returns the length (magnitude) of this vector.
Returns 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.
Vector2i
max ( with: Vector2i
) const1
Returns the component-wise maximum of this and with
, equivalent to Vector2i(maxi(x, with.x), maxi(y, with.y))
.
Returns the axis of the vector's highest value. See AXIS_*
constants. If all components are equal, this method returns AXIS_X
.
Vector2i
maxi ( with: int
) const1
Returns the component-wise maximum of this and with
, equivalent to Vector2i(maxi(x, with), maxi(y, with))
.
Vector2i
min ( with: Vector2i
) const1
Returns the component-wise minimum of this and with
, equivalent to Vector2i(mini(x, with.x), mini(y, with.y))
.
Returns the axis of the vector's lowest value. See AXIS_*
constants. If all components are equal, this method returns AXIS_Y
.
Vector2i
mini ( with: int
) const1
Returns the component-wise minimum of this and with
, equivalent to Vector2i(mini(x, with), mini(y, with))
.
Returns 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.
Vector2i
snapped ( step: Vector2i
) const1
Returns a new vector with each component snapped to the closest multiple of the corresponding component in step
.
Vector2i
snappedi ( step: int
) const1
Returns a new vector with each component snapped to the closest multiple of step
.
运算符说明
bool
operator != ( right: Vector2i
)
Returns true
if the vectors are not equal.
Vector2i
operator % ( right: Vector2i
)
Gets the remainder of each component of the Vector2i with the components of the given Vector2i. 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(Vector2i(10, -20) % Vector2i(7, 8)) # Prints "(3, -4)"
Vector2i
operator % ( right: int
)
Gets the remainder of each component of the Vector2i 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(Vector2i(10, -20) % 7) # Prints "(3, -6)"
Vector2i
**operator *** ( right: Vector2i
)
Multiplies each component of the Vector2i by the components of the given Vector2i.
print(Vector2i(10, 20) * Vector2i(3, 4)) # Prints "(30, 80)"
Vector2
**operator *** ( right: float
)
Multiplies each component of the Vector2i by the given float
. Returns a Vector2
.
print(Vector2i(10, 15) * 0.9) # Prints "(9, 13.5)"
Vector2i
**operator *** ( right: int
)
Multiplies each component of the Vector2i by the given int
.
Vector2i
operator + ( right: Vector2i
)
Adds each component of the Vector2i by the components of the given Vector2i.
print(Vector2i(10, 20) + Vector2i(3, 4)) # Prints "(13, 24)"
Vector2i
operator - ( right: Vector2i
)
Subtracts each component of the Vector2i by the components of the given Vector2i.
print(Vector2i(10, 20) - Vector2i(3, 4)) # Prints "(7, 16)"
Vector2i
operator / ( right: Vector2i
)
Divides each component of the Vector2i by the components of the given Vector2i.
print(Vector2i(10, 20) / Vector2i(2, 5)) # Prints "(5, 4)"
Vector2
operator / ( right: float
)
Divides each component of the Vector2i by the given float
. Returns a Vector2
.
print(Vector2i(10, 20) / 2.9) # Prints "(5, 10)"
Vector2i
operator / ( right: int
)
Divides each component of the Vector2i by the given int
.
bool
operator < ( right: Vector2i
)
Compares two Vector2i 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. This operator is useful for sorting vectors.
bool
operator <= ( right: Vector2i
)
Compares two Vector2i 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. This operator is useful for sorting vectors.
bool
operator == ( right: Vector2i
)
Returns true
if the vectors are equal.
bool
operator > ( right: Vector2i
)
Compares two Vector2i 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. This operator is useful for sorting vectors.
bool
operator >= ( right: Vector2i
)
Compares two Vector2i 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. This operator is useful for sorting vectors.
int
operator [] ( index: int
)
Access vector components using their index
. v[0]
is equivalent to v.x
, and v[1]
is equivalent to v.y
.
Vector2i
operator unary+ ( )
Returns the same value as if the +
was not there. Unary +
does nothing, but sometimes it can make your code more readable.
Vector2i
operator unary- ( )
Returns the negative value of the Vector2i. This is the same as writing Vector2i(-v.x, -v.y)
. This operation flips the direction of the vector while keeping the same magnitude.
本方法通常需要用户覆盖才能生效。
本方法无副作用,不会修改该实例的任何成员变量。
本方法除了能接受在此处描述的参数外,还能够继续接受任意数量的参数。
本方法用于构造某个类型。
调用本方法无需实例,可直接使用类名进行调用。
本方法描述的是使用本类型作为左操作数的有效运算符。
这个值是由下列位标志构成位掩码的整数。
无返回值。