Struct bevy_math::DVec2

#[repr(C)]
pub struct DVec2 {
    pub x: f64,
    pub y: f64,
}

A 2-dimensional vector.

Fields

x: f64

y: f64

Implementations

impl DVec2

pub const ZERO: DVec2 = _

All zeroes.

pub const ONE: DVec2 = _

All ones.

pub const NEG_ONE: DVec2 = _

All negative ones.

pub const MIN: DVec2 = _

All f64::MIN.

pub const MAX: DVec2 = _

All f64::MAX.

pub const NAN: DVec2 = _

All f64::NAN.

pub const INFINITY: DVec2 = _

All f64::INFINITY.

pub const NEG_INFINITY: DVec2 = _

All f64::NEG_INFINITY.

pub const X: DVec2 = _

A unit vector pointing along the positive X axis.

pub const Y: DVec2 = _

A unit vector pointing along the positive Y axis.

pub const NEG_X: DVec2 = _

A unit vector pointing along the negative X axis.

pub const NEG_Y: DVec2 = _

A unit vector pointing along the negative Y axis.

pub const AXES: [DVec2; 2] = _

The unit axes.

pub const fn new(x: f64, y: f64) -> DVec2

Creates a new vector.

pub const fn splat(v: f64) -> DVec2

Creates a vector with all elements set to v.

pub fn select(mask: BVec2, if_true: DVec2, if_false: DVec2) -> DVec2

Creates a vector from the elements in if_true and if_false, selecting which to use for each element of self.

A true element in the mask uses the corresponding element from if_true, and false uses the element from if_false.

pub const fn from_array(a: [f64; 2]) -> DVec2

Creates a new vector from an array.

pub const fn to_array(&self) -> [f64; 2]

[x, y]

pub const fn from_slice(slice: &[f64]) -> DVec2

Creates a vector from the first 2 values in slice.

Panics

Panics if slice is less than 2 elements long.

pub fn write_to_slice(self, slice: &mut [f64])

Writes the elements of self to the first 2 elements in slice.

Panics

Panics if slice is less than 2 elements long.

pub const fn extend(self, z: f64) -> DVec3

Creates a 3D vector from self and the given z value.

pub fn dot(self, rhs: DVec2) -> f64

Computes the dot product of self and rhs.

pub fn dot_into_vec(self, rhs: DVec2) -> DVec2

Returns a vector where every component is the dot product of self and rhs.

pub fn min(self, rhs: DVec2) -> DVec2

Returns a vector containing the minimum values for each element of self and rhs.

In other words this computes [self.x.min(rhs.x), self.y.min(rhs.y), ..].

pub fn max(self, rhs: DVec2) -> DVec2

Returns a vector containing the maximum values for each element of self and rhs.

In other words this computes [self.x.max(rhs.x), self.y.max(rhs.y), ..].

pub fn clamp(self, min: DVec2, max: DVec2) -> DVec2

Component-wise clamping of values, similar to f64::clamp.

Each element in min must be less-or-equal to the corresponding element in max.

Panics

Will panic if min is greater than max when glam_assert is enabled.

pub fn min_element(self) -> f64

Returns the horizontal minimum of self.

In other words this computes min(x, y, ..).

pub fn max_element(self) -> f64

Returns the horizontal maximum of self.

In other words this computes max(x, y, ..).

pub fn cmpeq(self, rhs: DVec2) -> BVec2

Returns a vector mask containing the result of a == comparison for each element of self and rhs.

In other words, this computes [self.x == rhs.x, self.y == rhs.y, ..] for all elements.

pub fn cmpne(self, rhs: DVec2) -> BVec2

Returns a vector mask containing the result of a != comparison for each element of self and rhs.

In other words this computes [self.x != rhs.x, self.y != rhs.y, ..] for all elements.

pub fn cmpge(self, rhs: DVec2) -> BVec2

Returns a vector mask containing the result of a >= comparison for each element of self and rhs.

In other words this computes [self.x >= rhs.x, self.y >= rhs.y, ..] for all elements.

pub fn cmpgt(self, rhs: DVec2) -> BVec2

Returns a vector mask containing the result of a > comparison for each element of self and rhs.

In other words this computes [self.x > rhs.x, self.y > rhs.y, ..] for all elements.

pub fn cmple(self, rhs: DVec2) -> BVec2

Returns a vector mask containing the result of a <= comparison for each element of self and rhs.

In other words this computes [self.x <= rhs.x, self.y <= rhs.y, ..] for all elements.

pub fn cmplt(self, rhs: DVec2) -> BVec2

Returns a vector mask containing the result of a < comparison for each element of self and rhs.

In other words this computes [self.x < rhs.x, self.y < rhs.y, ..] for all elements.

pub fn abs(self) -> DVec2

Returns a vector containing the absolute value of each element of self.

pub fn signum(self) -> DVec2

Returns a vector with elements representing the sign of self.

• 1.0 if the number is positive, +0.0 or INFINITY
• -1.0 if the number is negative, -0.0 or NEG_INFINITY
• NAN if the number is NAN

pub fn copysign(self, rhs: DVec2) -> DVec2

Returns a vector with signs of rhs and the magnitudes of self.

pub fn is_negative_bitmask(self) -> u32

Returns a bitmask with the lowest 2 bits set to the sign bits from the elements of self.

A negative element results in a 1 bit and a positive element in a 0 bit. Element x goes into the first lowest bit, element y into the second, etc.

pub fn is_finite(self) -> bool

Returns true if, and only if, all elements are finite. If any element is either NaN, positive or negative infinity, this will return false.

pub fn is_nan(self) -> bool

Returns true if any elements are NaN.

pub fn is_nan_mask(self) -> BVec2

Performs is_nan on each element of self, returning a vector mask of the results.

In other words, this computes [x.is_nan(), y.is_nan(), z.is_nan(), w.is_nan()].

pub fn length(self) -> f64

Computes the length of self.

pub fn length_squared(self) -> f64

Computes the squared length of self.

This is faster than length() as it avoids a square root operation.

pub fn length_recip(self) -> f64

Computes 1.0 / length().

For valid results, self must not be of length zero.

pub fn distance(self, rhs: DVec2) -> f64

Computes the Euclidean distance between two points in space.

pub fn distance_squared(self, rhs: DVec2) -> f64

Compute the squared euclidean distance between two points in space.

pub fn div_euclid(self, rhs: DVec2) -> DVec2

Returns the element-wise quotient of [Euclidean division] of self by rhs.

pub fn rem_euclid(self, rhs: DVec2) -> DVec2

Returns the element-wise remainder of Euclidean division of self by rhs.

pub fn normalize(self) -> DVec2

Returns self normalized to length 1.0.

For valid results, self must not be of length zero, nor very close to zero.

See also Self::try_normalize() and Self::normalize_or_zero().

Panics

Will panic if self is zero length when glam_assert is enabled.

pub fn try_normalize(self) -> Option<DVec2>

Returns self normalized to length 1.0 if possible, else returns None.

In particular, if the input is zero (or very close to zero), or non-finite, the result of this operation will be None.

See also Self::normalize_or_zero().

pub fn normalize_or_zero(self) -> DVec2

Returns self normalized to length 1.0 if possible, else returns zero.

In particular, if the input is zero (or very close to zero), or non-finite, the result of this operation will be zero.

See also Self::try_normalize().

pub fn is_normalized(self) -> bool

Returns whether self is length 1.0 or not.

Uses a precision threshold of 1e-6.

pub fn project_onto(self, rhs: DVec2) -> DVec2

Returns the vector projection of self onto rhs.

rhs must be of non-zero length.

Panics

Will panic if rhs is zero length when glam_assert is enabled.

pub fn reject_from(self, rhs: DVec2) -> DVec2

Returns the vector rejection of self from rhs.

The vector rejection is the vector perpendicular to the projection of self onto rhs, in rhs words the result of self - self.project_onto(rhs).

rhs must be of non-zero length.

Panics

Will panic if rhs has a length of zero when glam_assert is enabled.

pub fn project_onto_normalized(self, rhs: DVec2) -> DVec2

Returns the vector projection of self onto rhs.

rhs must be normalized.

Panics

Will panic if rhs is not normalized when glam_assert is enabled.

pub fn reject_from_normalized(self, rhs: DVec2) -> DVec2

Returns the vector rejection of self from rhs.

The vector rejection is the vector perpendicular to the projection of self onto rhs, in rhs words the result of self - self.project_onto(rhs).

rhs must be normalized.

Panics

Will panic if rhs is not normalized when glam_assert is enabled.

pub fn round(self) -> DVec2

Returns a vector containing the nearest integer to a number for each element of self. Round half-way cases away from 0.0.

pub fn floor(self) -> DVec2

Returns a vector containing the largest integer less than or equal to a number for each element of self.

pub fn ceil(self) -> DVec2

Returns a vector containing the smallest integer greater than or equal to a number for each element of self.

pub fn trunc(self) -> DVec2

Returns a vector containing the integer part each element of self. This means numbers are always truncated towards zero.

pub fn fract(self) -> DVec2

Returns a vector containing the fractional part of the vector, e.g. self - self.floor().

Note that this is fast but not precise for large numbers.

pub fn exp(self) -> DVec2

Returns a vector containing e^self (the exponential function) for each element of self.

pub fn powf(self, n: f64) -> DVec2

Returns a vector containing each element of self raised to the power of n.

pub fn recip(self) -> DVec2

Returns a vector containing the reciprocal 1.0/n of each element of self.

pub fn lerp(self, rhs: DVec2, s: f64) -> DVec2

Performs a linear interpolation between self and rhs based on the value s.

When s is 0.0, the result will be equal to self. When s is 1.0, the result will be equal to rhs. When s is outside of range [0, 1], the result is linearly extrapolated.

pub fn abs_diff_eq(self, rhs: DVec2, max_abs_diff: f64) -> bool

Returns true if the absolute difference of all elements between self and rhs is less than or equal to max_abs_diff.

This can be used to compare if two vectors contain similar elements. It works best when comparing with a known value. The max_abs_diff that should be used used depends on the values being compared against.

For more see comparing floating point numbers.

pub fn clamp_length(self, min: f64, max: f64) -> DVec2

Returns a vector with a length no less than min and no more than max

Panics

Will panic if min is greater than max when glam_assert is enabled.

pub fn clamp_length_max(self, max: f64) -> DVec2

Returns a vector with a length no more than max

pub fn clamp_length_min(self, min: f64) -> DVec2

Returns a vector with a length no less than min

pub fn mul_add(self, a: DVec2, b: DVec2) -> DVec2

Fused multiply-add. Computes (self * a) + b element-wise with only one rounding error, yielding a more accurate result than an unfused multiply-add.

Using mul_add may be more performant than an unfused multiply-add if the target architecture has a dedicated fma CPU instruction. However, this is not always true, and will be heavily dependant on designing algorithms with specific target hardware in mind.

pub fn from_angle(angle: f64) -> DVec2

Creates a 2D vector containing [angle.cos(), angle.sin()]. This can be used in conjunction with the rotate() method, e.g. DVec2::from_angle(PI).rotate(DVec2::Y) will create the vector [-1, 0] and rotate DVec2::Y around it returning -DVec2::Y.

pub fn to_angle(self) -> f64

Returns the angle (in radians) of this vector in the range [-π, +π].

The input does not need to be a unit vector however it must be non-zero.

pub fn angle_between(self, rhs: DVec2) -> f64

Returns the angle (in radians) between self and rhs in the range [-π, +π].

The inputs do not need to be unit vectors however they must be non-zero.

pub fn perp(self) -> DVec2

Returns a vector that is equal to self rotated by 90 degrees.

pub fn perp_dot(self, rhs: DVec2) -> f64

The perpendicular dot product of self and rhs. Also known as the wedge product, 2D cross product, and determinant.

pub fn rotate(self, rhs: DVec2) -> DVec2

Returns rhs rotated by the angle of self. If self is normalized, then this just rotation. This is what you usually want. Otherwise, it will be like a rotation with a multiplication by self’s length.

pub fn as_vec2(&self) -> Vec2

Casts all elements of self to f32.

pub fn as_i16vec2(&self) -> I16Vec2

Casts all elements of self to i16.

pub fn as_u16vec2(&self) -> U16Vec2

Casts all elements of self to u16.

pub fn as_ivec2(&self) -> IVec2

Casts all elements of self to i32.

pub fn as_uvec2(&self) -> UVec2

Casts all elements of self to u32.

pub fn as_i64vec2(&self) -> I64Vec2

Casts all elements of self to i64.

pub fn as_u64vec2(&self) -> U64Vec2

Casts all elements of self to u64.

Trait Implementations

impl Add<f64> for DVec2

type Output = DVec2

The resulting type after applying the + operator.

fn add(self, rhs: f64) -> DVec2

Performs the + operation.

impl Add for DVec2

type Output = DVec2

The resulting type after applying the + operator.

fn add(self, rhs: DVec2) -> DVec2

Performs the + operation.

impl AddAssign<f64> for DVec2

fn add_assign(&mut self, rhs: f64)

Performs the += operation.

impl AddAssign for DVec2

fn add_assign(&mut self, rhs: DVec2)

Performs the += operation.

impl AsMut<[f64; 2]> for DVec2

fn as_mut(&mut self) -> &mut [f64; 2]

Converts this type into a mutable reference of the (usually inferred) input type.

impl AsRef<[f64; 2]> for DVec2

fn as_ref(&self) -> &[f64; 2]

Converts this type into a shared reference of the (usually inferred) input type.

impl Clone for DVec2

fn clone(&self) -> DVec2

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for DVec2

fn fmt(&self, fmt: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl Default for DVec2

fn default() -> DVec2

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for DVec2

fn deserialize<D>( deserializer: D ) -> Result<DVec2, <D as Deserializer<'de>>::Error>

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for DVec2

fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl Div<f64> for DVec2

type Output = DVec2

The resulting type after applying the / operator.

fn div(self, rhs: f64) -> DVec2

Performs the / operation.

impl Div for DVec2

type Output = DVec2

The resulting type after applying the / operator.

fn div(self, rhs: DVec2) -> DVec2

Performs the / operation.

impl DivAssign<f64> for DVec2

fn div_assign(&mut self, rhs: f64)

Performs the /= operation.

impl DivAssign for DVec2

fn div_assign(&mut self, rhs: DVec2)

Performs the /= operation.

impl From<[f64; 2]> for DVec2

fn from(a: [f64; 2]) -> DVec2

Converts to this type from the input type.

impl From<(f64, f64)> for DVec2

fn from(t: (f64, f64)) -> DVec2

Converts to this type from the input type.

impl From<IVec2> for DVec2

fn from(v: IVec2) -> DVec2

Converts to this type from the input type.

impl From<Point2<f64>> for DVec2

fn from(v: Point2<f64>) -> DVec2

Converts to this type from the input type.

impl From<UVec2> for DVec2

fn from(v: UVec2) -> DVec2

Converts to this type from the input type.

impl From<Vec2> for DVec2

fn from(v: Vec2) -> DVec2

Converts to this type from the input type.

impl From<Vector2<f64>> for DVec2

fn from(v: Vector2<f64>) -> DVec2

Converts to this type from the input type.

impl Index<usize> for DVec2

type Output = f64

The returned type after indexing.

fn index(&self, index: usize) -> &<DVec2 as Index<usize>>::Output

Performs the indexing (container[index]) operation.

impl IndexMut<usize> for DVec2

fn index_mut(&mut self, index: usize) -> &mut <DVec2 as Index<usize>>::Output

Performs the mutable indexing (container[index]) operation.

impl IntoMint for DVec2

type MintType = Vector2<f64>

The mint type that this type is associated with.

impl Mul<DVec2> for DMat2

type Output = DVec2

The resulting type after applying the * operator.

fn mul(self, rhs: DVec2) -> <DMat2 as Mul<DVec2>>::Output

Performs the * operation.

impl Mul<f64> for DVec2

type Output = DVec2

The resulting type after applying the * operator.

fn mul(self, rhs: f64) -> DVec2

Performs the * operation.

impl Mul for DVec2

type Output = DVec2

The resulting type after applying the * operator.

fn mul(self, rhs: DVec2) -> DVec2

Performs the * operation.

impl MulAssign<f64> for DVec2

fn mul_assign(&mut self, rhs: f64)

Performs the *= operation.

impl MulAssign for DVec2

fn mul_assign(&mut self, rhs: DVec2)

Performs the *= operation.

impl Neg for DVec2

type Output = DVec2

The resulting type after applying the - operator.

fn neg(self) -> DVec2

Performs the unary - operation.

impl PartialEq for DVec2

fn eq(&self, other: &DVec2) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl<'a> Product<&'a DVec2> for DVec2

fn product<I>(iter: I) -> DVec2

where I: Iterator<Item = &'a DVec2>,

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl Product for DVec2

fn product<I>(iter: I) -> DVec2

where I: Iterator<Item = DVec2>,

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl Rem<f64> for DVec2

type Output = DVec2

The resulting type after applying the % operator.

fn rem(self, rhs: f64) -> DVec2

Performs the % operation.

impl Rem for DVec2

type Output = DVec2

The resulting type after applying the % operator.

fn rem(self, rhs: DVec2) -> DVec2

Performs the % operation.

impl RemAssign<f64> for DVec2

fn rem_assign(&mut self, rhs: f64)

Performs the %= operation.

impl RemAssign for DVec2

fn rem_assign(&mut self, rhs: DVec2)

Performs the %= operation.

impl Serialize for DVec2

fn serialize<S>( &self, serializer: S ) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>

where S: Serializer,

Serialize this value into the given Serde serializer.

impl Sub<f64> for DVec2

type Output = DVec2

The resulting type after applying the - operator.

fn sub(self, rhs: f64) -> DVec2

Performs the - operation.

impl Sub for DVec2

type Output = DVec2

The resulting type after applying the - operator.

fn sub(self, rhs: DVec2) -> DVec2

Performs the - operation.

impl SubAssign<f64> for DVec2

fn sub_assign(&mut self, rhs: f64)

Performs the -= operation.

impl SubAssign for DVec2

fn sub_assign(&mut self, rhs: DVec2)

Performs the -= operation.

impl<'a> Sum<&'a DVec2> for DVec2

fn sum<I>(iter: I) -> DVec2

where I: Iterator<Item = &'a DVec2>,

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl Sum for DVec2

fn sum<I>(iter: I) -> DVec2

where I: Iterator<Item = DVec2>,

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl Vec2Swizzles for DVec2

type Vec3 = DVec3

type Vec4 = DVec4

fn xx(self) -> DVec2

fn xy(self) -> DVec2

fn yx(self) -> DVec2

fn yy(self) -> DVec2

fn xxx(self) -> DVec3

fn xxy(self) -> DVec3

fn xyx(self) -> DVec3

fn xyy(self) -> DVec3

fn yxx(self) -> DVec3

fn yxy(self) -> DVec3

fn yyx(self) -> DVec3

fn yyy(self) -> DVec3

fn xxxx(self) -> DVec4

fn xxxy(self) -> DVec4

fn xxyx(self) -> DVec4

fn xxyy(self) -> DVec4

fn xyxx(self) -> DVec4

fn xyxy(self) -> DVec4

fn xyyx(self) -> DVec4

fn xyyy(self) -> DVec4

fn yxxx(self) -> DVec4

fn yxxy(self) -> DVec4

fn yxyx(self) -> DVec4

fn yxyy(self) -> DVec4

fn yyxx(self) -> DVec4

fn yyxy(self) -> DVec4

fn yyyx(self) -> DVec4

fn yyyy(self) -> DVec4

impl Zeroable for DVec2

fn zeroed() -> Self

Calls zeroed.

impl Copy for DVec2

impl Pod for DVec2

impl StructuralPartialEq for DVec2