Struct nannou::glam::Vec3

pub struct Vec3(/* private fields */);

A 3-dimensional vector without SIMD support.

Implementations

impl Vec3

pub const ZERO: Vec3 = _

All zeroes.

pub const ONE: Vec3 = _

All ones.

pub const X: Vec3 = _

[1, 0, 0]: a unit-length vector pointing along the positive X axis.

pub const Y: Vec3 = _

[0, 1, 0]: a unit-length vector pointing along the positive Y axis.

pub const Z: Vec3 = _

[0, 0, 1]: a unit-length vector pointing along the positive Z axis.

pub const AXES: [Vec3; 3] = _

The unit axes.

pub fn new(x: f32, y: f32, z: f32) -> Vec3

Creates a new 3D vector.

pub fn extend(self, w: f32) -> Vec4

Creates a 4D vector from self and the given w value.

pub fn truncate(self) -> Vec2

Creates a Vec2 from the x and y elements of self, discarding z.

Truncation may also be performed by using self.xy() or Vec2::from().

pub fn cross(self, other: Vec3) -> Vec3

Computes the cross product of self and other.

pub fn to_array(&self) -> [f32; 3]

[x, y, z]

pub fn splat(v: f32) -> Vec3

Creates a vector with all elements set to v.

pub fn select(mask: BVec3, if_true: Vec3, if_false: Vec3) -> Vec3

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 fn dot(self, other: Vec3) -> f32

Computes the dot product of self and other.

pub fn min(self, other: Vec3) -> Vec3

Returns a vector containing the mininum values for each element of self and other.

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

pub fn max(self, other: Vec3) -> Vec3

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

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

pub fn clamp(self, min: Vec3, max: Vec3) -> Vec3

Component-wise clamping of values, similar to f32::clamp.

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

Panics

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

pub fn min_element(self) -> f32

Returns the horizontal minimum of self.

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

pub fn max_element(self) -> f32

Returns the horizontal maximum of self.

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

pub fn cmpeq(self, other: Vec3) -> BVec3

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

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

pub fn cmpne(self, other: Vec3) -> BVec3

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

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

pub fn cmpge(self, other: Vec3) -> BVec3

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

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

pub fn cmpgt(self, other: Vec3) -> BVec3

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

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

pub fn cmple(self, other: Vec3) -> BVec3

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

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

pub fn cmplt(self, other: Vec3) -> BVec3

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

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

pub fn from_slice(slice: &[f32]) -> Vec3

Creates a vector from the first N values in slice.

Panics

Panics if slice is less than N elements long.

pub fn write_to_slice(self, slice: &mut [f32])

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

Panics

Panics if slice is less than N elements long.

pub fn abs(self) -> Vec3

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

pub fn signum(self) -> Vec3

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 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) -> BVec3

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) -> f32

Computes the length of self.

pub fn length_squared(self) -> f32

Computes the squared length of self.

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

pub fn length_recip(self) -> f32

Computes 1.0 / length().

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

pub fn distance(self, other: Vec3) -> f32

Computes the Euclidean distance between two points in space.

pub fn distance_squared(self, other: Vec3) -> f32

Compute the squared euclidean distance between two points in space.

pub fn normalize(self) -> Vec3

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<Vec3>

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) -> Vec3

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, other: Vec3) -> Vec3

Returns the vector projection of self onto other.

other must be of non-zero length.

Panics

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

pub fn reject_from(self, other: Vec3) -> Vec3

Returns the vector rejection of self from other.

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

other must be of non-zero length.

Panics

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

pub fn project_onto_normalized(self, other: Vec3) -> Vec3

Returns the vector projection of self onto other.

other must be normalized.

Panics

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

pub fn reject_from_normalized(self, other: Vec3) -> Vec3

Returns the vector rejection of self from other.

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

other must be normalized.

Panics

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

pub fn round(self) -> Vec3

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) -> Vec3

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

pub fn ceil(self) -> Vec3

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

pub fn fract(self) -> Vec3

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) -> Vec3

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

pub fn powf(self, n: f32) -> Vec3

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

pub fn recip(self) -> Vec3

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

pub fn lerp(self, other: Vec3, s: f32) -> Vec3

Performs a linear interpolation between self and other 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 other.

pub fn abs_diff_eq(self, other: Vec3, max_abs_diff: f32) -> bool

Returns true if the absolute difference of all elements between self and other 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: f32, max: f32) -> Vec3

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: f32) -> Vec3

Returns a vector with a length no more than max

pub fn clamp_length_min(self, min: f32) -> Vec3

Returns a vector with a length no less than min

pub fn angle_between(self, other: Vec3) -> f32

Returns the angle (in radians) between two vectors.

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

pub fn any_orthogonal_vector(&self) -> Vec3

Returns somes vector that is orthogonal to the given one.

The input vector must be finite and non-zero.

The output vector is not necessarily unit-length. For that use Self::any_orthonormal_vector instead.

pub fn any_orthonormal_vector(&self) -> Vec3

Returns any unit-length vector that is orthogonal to the given one. The input vector must be finite and non-zero.

Panics

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

pub fn any_orthonormal_pair(&self) -> (Vec3, Vec3)

Given a unit-length vector return two other vectors that together form an orthonormal basis. That is, all three vectors are orthogonal to each other and are normalized.

Panics

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

pub fn as_f64(&self) -> DVec3

Casts all elements of self to f64.

pub fn as_i32(&self) -> IVec3

Casts all elements of self to i32.

pub fn as_u32(&self) -> UVec3

Casts all elements of self to u32.

Trait Implementations

impl Add<f32> for Vec3

type Output = Vec3

The resulting type after applying the + operator.

fn add(self, other: f32) -> Vec3

Performs the + operation.

impl Add for Vec3

type Output = Vec3

The resulting type after applying the + operator.

fn add(self, other: Vec3) -> Vec3

Performs the + operation.

impl AddAssign<f32> for Vec3

fn add_assign(&mut self, other: f32)

Performs the += operation.

impl AddAssign for Vec3

fn add_assign(&mut self, other: Vec3)

Performs the += operation.

impl AsMut<[f32; 3]> for Vec3

fn as_mut(&mut self) -> &mut [f32; 3]

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

impl AsRef<[f32; 3]> for Vec3

fn as_ref(&self) -> &[f32; 3]

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

impl Average for Vec3

fn average<I>(vertices: I) -> Option<Vec3>

where I: IntoIterator<Item = Vec3>,

Produce the average of the given sequence of vertices.

impl Clone for Vec3

fn clone(&self) -> Vec3

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for Vec3

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

Formats the value using the given formatter.

impl Default for Vec3

fn default() -> Vec3

Returns the “default value” for a type.

impl Deref for Vec3

type Target = XYZ<f32>

The resulting type after dereferencing.

fn deref(&self) -> &<Vec3 as Deref>::Target

Dereferences the value.

impl DerefMut for Vec3

fn deref_mut(&mut self) -> &mut <Vec3 as Deref>::Target

Mutably dereferences the value.

impl<'de> Deserialize<'de> for Vec3

fn deserialize<D>( deserializer: D ) -> Result<Vec3, <D as Deserializer<'de>>::Error>

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for Vec3

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

Formats the value using the given formatter.

impl Distribution<Vec3> for Standard

fn sample<R>(&self, rng: &mut R) -> Vec3

where R: Rng + ?Sized,

Generate a random value of T, using rng as the source of randomness.

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>

where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness.

fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>

where F: Fn(T) -> S, Self: Sized,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F

impl Div<f32> for Vec3

type Output = Vec3

The resulting type after applying the / operator.

fn div(self, other: f32) -> Vec3

Performs the / operation.

impl Div for Vec3

type Output = Vec3

The resulting type after applying the / operator.

fn div(self, other: Vec3) -> Vec3

Performs the / operation.

impl DivAssign<f32> for Vec3

fn div_assign(&mut self, other: f32)

Performs the /= operation.

impl DivAssign for Vec3

fn div_assign(&mut self, other: Vec3)

Performs the /= operation.

impl From<[f32; 3]> for Vec3

fn from(a: [f32; 3]) -> Vec3

Converts to this type from the input type.

impl From<(Vec2, f32)> for Vec3

fn from(_: (Vec2, f32)) -> Vec3

Converts to this type from the input type.

impl From<(f32, f32, f32)> for Vec3

fn from(t: (f32, f32, f32)) -> Vec3

Converts to this type from the input type.

impl From<Vec3> for [f32; 3]

fn from(v: Vec3) -> [f32; 3]

Converts to this type from the input type.

impl From<Vec3> for Vec2

fn from(v: Vec3) -> Vec2

Creates a Vec2 from the x and y elements of self, discarding z.

impl From<Vec3> for Vec3A

fn from(v: Vec3) -> Vec3A

Converts to this type from the input type.

impl From<Vec3> for XYZ<f32>

fn from(t: Vec3) -> XYZ<f32>

Converts to this type from the input type.

impl From<Vec3A> for Vec3

fn from(v: Vec3A) -> Vec3

Converts to this type from the input type.

impl From<Vec4> for Vec3

fn from(v: Vec4) -> Vec3

Creates a 3D vector from the x, y and z elements of self, discarding w.

impl From<XYZ<f32>> for Vec3

fn from(t: XYZ<f32>) -> Vec3

Converts to this type from the input type.

impl Index<usize> for Vec3

type Output = f32

The returned type after indexing.

fn index(&self, index: usize) -> &<Vec3 as Index<usize>>::Output

Performs the indexing (container[index]) operation.

impl IndexMut<usize> for Vec3

fn index_mut(&mut self, index: usize) -> &mut <Vec3 as Index<usize>>::Output

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

impl Mul<Vec3> for Mat3

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, other: Vec3) -> <Mat3 as Mul<Vec3>>::Output

Performs the * operation.

impl Mul<Vec3> for Mat3A

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, other: Vec3) -> Vec3

Performs the * operation.

impl Mul<Vec3> for Quat

fn mul(self, other: Vec3) -> <Quat as Mul<Vec3>>::Output

Multiplies a quaternion and a 3D vector, returning the rotated vector.

Panics

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

type Output = Vec3

The resulting type after applying the * operator.

impl Mul<f32> for Vec3

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, other: f32) -> Vec3

Performs the * operation.

impl Mul for Vec3

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, other: Vec3) -> Vec3

Performs the * operation.

impl MulAssign<f32> for Vec3

fn mul_assign(&mut self, other: f32)

Performs the *= operation.

impl MulAssign for Vec3

fn mul_assign(&mut self, other: Vec3)

Performs the *= operation.

impl Neg for Vec3

type Output = Vec3

The resulting type after applying the - operator.

fn neg(self) -> Vec3

Performs the unary - operation.

impl PartialEq for Vec3

fn eq(&self, other: &Vec3) -> 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 Vec3> for Vec3

fn product<I>(iter: I) -> Vec3

where I: Iterator<Item = &'a Vec3>,

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

impl Serialize for Vec3

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<f32> for Vec3

type Output = Vec3

The resulting type after applying the - operator.

fn sub(self, other: f32) -> Vec3

Performs the - operation.

impl Sub for Vec3

type Output = Vec3

The resulting type after applying the - operator.

fn sub(self, other: Vec3) -> Vec3

Performs the - operation.

impl SubAssign<f32> for Vec3

fn sub_assign(&mut self, other: f32)

Performs the -= operation.

impl SubAssign for Vec3

fn sub_assign(&mut self, other: Vec3)

Performs the -= operation.

impl<'a> Sum<&'a Vec3> for Vec3

fn sum<I>(iter: I) -> Vec3

where I: Iterator<Item = &'a Vec3>,

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

impl Vec3Swizzles for Vec3

type Vec2 = Vec2

type Vec4 = Vec4

fn xxxx(self) -> Vec4

fn xxxy(self) -> Vec4

fn xxxz(self) -> Vec4

fn xxyx(self) -> Vec4

fn xxyy(self) -> Vec4

fn xxyz(self) -> Vec4

fn xxzx(self) -> Vec4

fn xxzy(self) -> Vec4

fn xxzz(self) -> Vec4

fn xyxx(self) -> Vec4

fn xyxy(self) -> Vec4

fn xyxz(self) -> Vec4

fn xyyx(self) -> Vec4

fn xyyy(self) -> Vec4

fn xyyz(self) -> Vec4

fn xyzx(self) -> Vec4

fn xyzy(self) -> Vec4

fn xyzz(self) -> Vec4

fn xzxx(self) -> Vec4

fn xzxy(self) -> Vec4

fn xzxz(self) -> Vec4

fn xzyx(self) -> Vec4

fn xzyy(self) -> Vec4

fn xzyz(self) -> Vec4

fn xzzx(self) -> Vec4

fn xzzy(self) -> Vec4

fn xzzz(self) -> Vec4

fn yxxx(self) -> Vec4

fn yxxy(self) -> Vec4

fn yxxz(self) -> Vec4

fn yxyx(self) -> Vec4

fn yxyy(self) -> Vec4

fn yxyz(self) -> Vec4

fn yxzx(self) -> Vec4

fn yxzy(self) -> Vec4

fn yxzz(self) -> Vec4

fn yyxx(self) -> Vec4

fn yyxy(self) -> Vec4

fn yyxz(self) -> Vec4

fn yyyx(self) -> Vec4

fn yyyy(self) -> Vec4

fn yyyz(self) -> Vec4

fn yyzx(self) -> Vec4

fn yyzy(self) -> Vec4

fn yyzz(self) -> Vec4

fn yzxx(self) -> Vec4

fn yzxy(self) -> Vec4

fn yzxz(self) -> Vec4

fn yzyx(self) -> Vec4

fn yzyy(self) -> Vec4

fn yzyz(self) -> Vec4

fn yzzx(self) -> Vec4

fn yzzy(self) -> Vec4

fn yzzz(self) -> Vec4

fn zxxx(self) -> Vec4

fn zxxy(self) -> Vec4

fn zxxz(self) -> Vec4

fn zxyx(self) -> Vec4

fn zxyy(self) -> Vec4

fn zxyz(self) -> Vec4

fn zxzx(self) -> Vec4

fn zxzy(self) -> Vec4

fn zxzz(self) -> Vec4

fn zyxx(self) -> Vec4

fn zyxy(self) -> Vec4

fn zyxz(self) -> Vec4

fn zyyx(self) -> Vec4

fn zyyy(self) -> Vec4

fn zyyz(self) -> Vec4

fn zyzx(self) -> Vec4

fn zyzy(self) -> Vec4

fn zyzz(self) -> Vec4

fn zzxx(self) -> Vec4

fn zzxy(self) -> Vec4

fn zzxz(self) -> Vec4

fn zzyx(self) -> Vec4

fn zzyy(self) -> Vec4

fn zzyz(self) -> Vec4

fn zzzx(self) -> Vec4

fn zzzy(self) -> Vec4

fn zzzz(self) -> Vec4

fn xxx(self) -> Vec3

fn xxy(self) -> Vec3

fn xxz(self) -> Vec3

fn xyx(self) -> Vec3

fn xyy(self) -> Vec3

fn xzx(self) -> Vec3

fn xzy(self) -> Vec3

fn xzz(self) -> Vec3

fn yxx(self) -> Vec3

fn yxy(self) -> Vec3

fn yxz(self) -> Vec3

fn yyx(self) -> Vec3

fn yyy(self) -> Vec3

fn yyz(self) -> Vec3

fn yzx(self) -> Vec3

fn yzy(self) -> Vec3

fn yzz(self) -> Vec3

fn zxx(self) -> Vec3

fn zxy(self) -> Vec3

fn zxz(self) -> Vec3

fn zyx(self) -> Vec3

fn zyy(self) -> Vec3

fn zyz(self) -> Vec3

fn zzx(self) -> Vec3

fn zzy(self) -> Vec3

fn zzz(self) -> Vec3

fn xx(self) -> Vec2

fn xy(self) -> Vec2

fn xz(self) -> Vec2

fn yx(self) -> Vec2

fn yy(self) -> Vec2

fn yz(self) -> Vec2

fn zx(self) -> Vec2

fn zy(self) -> Vec2

fn zz(self) -> Vec2

fn xyz(self) -> Self

impl Vertex for Vec3

type Scalar = f32

The values used to describe the vertex position.

impl Vertex2d for Vec3

fn point2(self) -> [<Vec3 as Vertex>::Scalar; 2]

The x, y location of the vertex.

impl Vertex3d for Vec3

fn point3(self) -> [<Vec3 as Vertex>::Scalar; 3]

The x, y, z location of the vertex.

impl Copy for Vec3