Vector used for 2D math using floating point coordinates. 2-element structure that can be used to represent positions in 2D space or any other pair of numeric values. It uses floating-point coordinates. See [Vector2i] for its integer counterpart. [b]Note:[/b] In a boolean context, a Vector2 will evaluate to [code]false[/code] if it's equal to [code]Vector2(0, 0)[/code]. Otherwise, a Vector2 will always evaluate to [code]true[/code]. $DOCS_URL/tutorials/math/index.html $DOCS_URL/tutorials/math/vector_math.html $DOCS_URL/tutorials/math/vectors_advanced.html https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab https://godotengine.org/asset-library/asset/584 https://github.com/godotengine/godot-demo-projects/tree/master/2d Constructs a default-initialized [Vector2] with all components set to [code]0[/code]. Constructs a [Vector2] as a copy of the given [Vector2]. Constructs a new [Vector2] from [Vector2i]. Constructs a new [Vector2] from the given [param x] and [param y]. Returns a new vector with all components in absolute values (i.e. positive). Returns this vector's angle with respect to the positive X axis, or [code](1, 0)[/code] vector, in radians. For example, [code]Vector2.RIGHT.angle()[/code] will return zero, [code]Vector2.DOWN.angle()[/code] will return [code]PI / 2[/code] (a quarter turn, or 90 degrees), and [code]Vector2(1, -1).angle()[/code] will return [code]-PI / 4[/code] (a negative eighth turn, or -45 degrees). [url=https://raw.githubusercontent.com/godotengine/godot-docs/master/img/vector2_angle.png]Illustration of the returned angle.[/url] Equivalent to the result of [method @GlobalScope.atan2] when called with the vector's [member y] and [member x] as parameters: [code]atan2(y, x)[/code]. Returns the angle to the given vector, in radians. [url=https://raw.githubusercontent.com/godotengine/godot-docs/master/img/vector2_angle_to.png]Illustration of the returned angle.[/url] Returns the angle between the line connecting the two points and the X axis, in radians. [code]a.angle_to_point(b)[/code] is equivalent of doing [code](b - a).angle()[/code]. [url=https://raw.githubusercontent.com/godotengine/godot-docs/master/img/vector2_angle_to_point.png]Illustration of the returned angle.[/url] Returns the aspect ratio of this vector, the ratio of [member x] to [member y]. Returns the point at the given [param t] on the [url=https://en.wikipedia.org/wiki/B%C3%A9zier_curve]Bezier curve[/url] defined by this vector and the given [param control_1], [param control_2], and [param end] points. Returns the vector "bounced off" from a plane defined by the given normal. Returns a new vector with all components rounded up (towards positive infinity). Returns a new vector with all components clamped between the components of [param min] and [param max], by running [method @GlobalScope.clamp] on each component. Returns the 2D analog of the cross product for this vector and [param with]. This is the signed area of the parallelogram formed by the two vectors. If the second vector is clockwise from the first vector, then the cross product is the positive area. If counter-clockwise, the cross product is the negative area. [b]Note:[/b] Cross product is not defined in 2D mathematically. This method embeds the 2D vectors in the XY plane of 3D space and uses their cross product's Z component as the analog. Cubically interpolates between this vector and [param b] using [param pre_a] and [param post_b] as handles, and returns the result at position [param weight]. [param weight] is on the range of 0.0 to 1.0, representing the amount of interpolation. Cubically interpolates between this vector and [param b] using [param pre_a] and [param post_b] as handles, and returns the result at position [param weight]. [param weight] is on the range of 0.0 to 1.0, representing the amount of interpolation. It can perform smoother interpolation than [code]cubic_interpolate()[/code] by the time values. Returns the normalized vector pointing from this vector to [param to]. This is equivalent to using [code](b - a).normalized()[/code]. Returns the squared distance between this vector and [param to]. This method runs faster than [method distance_to], so prefer it if you need to compare vectors or need the squared distance for some formula. Returns the distance between this vector and [param to]. Returns the dot product of this vector and [param with]. This can be used to compare the angle between two vectors. For example, this can be used to determine whether an enemy is facing the player. The dot product will be [code]0[/code] for a straight angle (90 degrees), greater than 0 for angles narrower than 90 degrees and lower than 0 for angles wider than 90 degrees. When using unit (normalized) vectors, the result will always be between [code]-1.0[/code] (180 degree angle) when the vectors are facing opposite directions, and [code]1.0[/code] (0 degree angle) when the vectors are aligned. [b]Note:[/b] [code]a.dot(b)[/code] is equivalent to [code]b.dot(a)[/code]. Returns a new vector with all components rounded down (towards negative infinity). Creates a unit [Vector2] rotated to the given [param angle] in radians. This is equivalent to doing [code]Vector2(cos(angle), sin(angle))[/code] or [code]Vector2.RIGHT.rotated(angle)[/code]. [codeblock] print(Vector2.from_angle(0)) # Prints (1, 0). print(Vector2(1, 0).angle()) # Prints 0, which is the angle used above. print(Vector2.from_angle(PI / 2)) # Prints (0, 1). [/codeblock] Returns [code]true[/code] if this vector and [code]v[/code] are approximately equal, by running [method @GlobalScope.is_equal_approx] on each component. Returns [code]true[/code] if the vector is normalized, [code]false[/code] otherwise. Returns the length (magnitude) of this vector. Returns the squared length (squared magnitude) of this vector. This method runs faster than [method length], so prefer it if you need to compare vectors or need the squared distance for some formula. Returns the result of the linear interpolation between this vector and [param to] by amount [param weight]. [param weight] is on the range of 0.0 to 1.0, representing the amount of interpolation. Returns the vector with a maximum length by limiting its length to [param length]. Returns the axis of the vector's highest value. See [code]AXIS_*[/code] constants. If all components are equal, this method returns [constant AXIS_X]. Returns the axis of the vector's lowest value. See [code]AXIS_*[/code] constants. If all components are equal, this method returns [constant AXIS_Y]. Returns a new vector moved toward [param to] by the fixed [param delta] amount. Will not go past the final value. Returns the vector scaled to unit length. Equivalent to [code]v / v.length()[/code]. Returns a perpendicular vector rotated 90 degrees counter-clockwise compared to the original, with the same length. Returns a vector composed of the [method @GlobalScope.fposmod] of this vector's components and [param mod]. Returns a vector composed of the [method @GlobalScope.fposmod] of this vector's components and [param modv]'s components. Returns this vector projected onto the vector [code]b[/code]. Returns the vector reflected (i.e. mirrored, or symmetric) over a line defined by the given direction vector [param n]. Returns the vector rotated by [param angle] (in radians). See also [method @GlobalScope.deg_to_rad]. Returns a new vector with all components rounded to the nearest integer, with halfway cases rounded away from zero. Returns a new vector with each component set to one or negative one, depending on the signs of the components, or zero if the component is zero, by calling [method @GlobalScope.sign] on each component. Returns the result of spherical linear interpolation between this vector and [param to], by amount [param weight]. [param weight] is on the range of 0.0 to 1.0, representing the amount of interpolation. This method also handles interpolating the lengths if the input vectors have different lengths. For the special case of one or both input vectors having zero length, this method behaves like [method lerp]. Returns this vector slid along a plane defined by the given normal. Returns this vector with each component snapped to the nearest multiple of [param step]. This can also be used to round to an arbitrary number of decimals. The vector's X component. Also accessible by using the index position [code][0][/code]. The vector's Y component. Also accessible by using the index position [code][1][/code]. Enumerated value for the X axis. Returned by [method max_axis_index] and [method min_axis_index]. Enumerated value for the Y axis. Returned by [method max_axis_index] and [method min_axis_index]. Zero vector, a vector with all components set to [code]0[/code]. One vector, a vector with all components set to [code]1[/code]. Infinity vector, a vector with all components set to [constant @GDScript.INF]. Left unit vector. Represents the direction of left. Right unit vector. Represents the direction of right. Up unit vector. Y is down in 2D, so this vector points -Y. Down unit vector. Y is down in 2D, so this vector points +Y. Returns [code]true[/code] if the vectors are not equal. [b]Note:[/b] Due to floating-point precision errors, consider using [method is_equal_approx] instead, which is more reliable. Inversely transforms (multiplies) the [Vector2] by the given [Transform2D] transformation matrix. Multiplies each component of the [Vector2] by the components of the given [Vector2]. [codeblock] print(Vector2(10, 20) * Vector2(3, 4)) # Prints "(30, 80)" [/codeblock] Multiplies each component of the [Vector2] by the given [float]. Multiplies each component of the [Vector2] by the given [int]. Adds each component of the [Vector2] by the components of the given [Vector2]. [codeblock] print(Vector2(10, 20) + Vector2(3, 4)) # Prints "(13, 24)" [/codeblock] Subtracts each component of the [Vector2] by the components of the given [Vector2]. [codeblock] print(Vector2(10, 20) - Vector2(3, 4)) # Prints "(7, 16)" [/codeblock] Divides each component of the [Vector2] by the components of the given [Vector2]. [codeblock] print(Vector2(10, 20) / Vector2(2, 5)) # Prints "(5, 4)" [/codeblock] Divides each component of the [Vector2] by the given [float]. Divides each component of the [Vector2] by the given [int]. Compares two [Vector2] vectors by first checking if the X value of the left vector is less than the X value of the [param 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. Compares two [Vector2] vectors by first checking if the X value of the left vector is less than or equal to the X value of the [param 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. Returns [code]true[/code] if the vectors are exactly equal. [b]Note:[/b] Due to floating-point precision errors, consider using [method is_equal_approx] instead, which is more reliable. Compares two [Vector2] vectors by first checking if the X value of the left vector is greater than the X value of the [param 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. Compares two [Vector2] vectors by first checking if the X value of the left vector is greater than or equal to the X value of the [param 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. Access vector components using their [param index]. [code]v[0][/code] is equivalent to [code]v.x[/code], and [code]v[1][/code] is equivalent to [code]v.y[/code]. Returns the same value as if the [code]+[/code] was not there. Unary [code]+[/code] does nothing, but sometimes it can make your code more readable. Returns the negative value of the [Vector2]. This is the same as writing [code]Vector2(-v.x, -v.y)[/code]. This operation flips the direction of the vector while keeping the same magnitude. With floats, the number zero can be either positive or negative.