Struct Matrix3

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pub struct Matrix3<T> {
    pub m: [T; 9],
}
Expand description

A 3x3 matrix used for linear color transformations

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§m: [T; 9]

An array containing the cell values

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impl<T> Matrix3<T>
where T: Num + Copy + Zero + NumCast,

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pub fn new(values: [T; 9]) -> Self

Construct a new Matrix3 from a list of values (row major)

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pub fn zero() -> Self

Construct a new Matrix3 with all zero entries

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pub fn identity() -> Self

Construct an identity matrix

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pub fn broadcast(val: T) -> Self

Construct a new Matrix3 with all values set to val

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pub fn as_slice(&self) -> &[T]

Return a slice to the elements in the matrix

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pub fn as_slice_mut(&mut self) -> &mut [T]

Return a mutable slice to the elements in the matrix

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pub fn to_tuple(self) -> (T, T, T, T, T, T, T, T, T)

Return a nine element tuple containing the elements

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pub fn determinant(&self) -> T

Compute the determinant of the matrix

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pub fn transpose(self) -> Self

Transpose the matrix

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pub fn inverse(self) -> Option<Self>

Compute the inverse of the matrix

None is returned if the matrix is singular (determinant = 0)

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pub fn transform_vector<U>(&self, vec: (U, U, U)) -> (U, U, U)
where U: NumCast,

Transform a vector using self

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impl<T> AbsDiffEq for Matrix3<T>
where T: Num + Copy + AbsDiffEq, T::Epsilon: Clone,

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type Epsilon = <T as AbsDiffEq>::Epsilon

Used for specifying relative comparisons.
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fn default_epsilon() -> Self::Epsilon

The default tolerance to use when testing values that are close together. Read more
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fn abs_diff_eq(&self, other: &Self, epsilon: Self::Epsilon) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.
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fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of ApproxEq::abs_diff_eq.
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impl<T> Add for Matrix3<T>
where T: Num + Copy + AddAssign<T>,

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type Output = Matrix3<T>

The resulting type after applying the + operator.
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fn add(self, rhs: Self) -> Self

Performs the + operation. Read more
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impl<T> AddAssign for Matrix3<T>
where T: Num + Copy + AddAssign<T>,

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fn add_assign(&mut self, rhs: Self)

Performs the += operation. Read more
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impl<T> Clone for Matrix3<T>
where T: Clone,

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fn clone(&self) -> Self

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<T: Debug> Debug for Matrix3<T>

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

Formats the value using the given formatter. Read more
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impl<T> Default for Matrix3<T>
where T: Num + Copy + Default,

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fn default() -> Self

Returns the “default value” for a type. Read more
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impl<T> Display for Matrix3<T>
where T: Num + Copy + Display,

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

Formats the value using the given formatter. Read more
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impl<T> Div<T> for Matrix3<T>
where T: Num + Copy,

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type Output = Matrix3<T>

The resulting type after applying the / operator.
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fn div(self, rhs: T) -> Self

Performs the / operation. Read more
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impl<T> DivAssign<T> for Matrix3<T>
where T: Num + Copy,

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fn div_assign(&mut self, rhs: T)

Performs the /= operation. Read more
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impl<T> Mul<T> for Matrix3<T>
where T: Num + Copy,

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type Output = Matrix3<T>

The resulting type after applying the * operator.
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fn mul(self, rhs: T) -> Self

Performs the * operation. Read more
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impl<T> Mul for Matrix3<T>
where T: Num + Copy,

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type Output = Matrix3<T>

The resulting type after applying the * operator.
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fn mul(self, rhs: Matrix3<T>) -> Self

Performs the * operation. Read more
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impl<T> MulAssign<T> for Matrix3<T>
where T: Num + Copy,

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fn mul_assign(&mut self, rhs: T)

Performs the *= operation. Read more
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impl<T> MulAssign for Matrix3<T>
where T: Num + Copy,

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fn mul_assign(&mut self, rhs: Matrix3<T>)

Performs the *= operation. Read more
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impl<T: PartialEq> PartialEq for Matrix3<T>

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fn eq(&self, other: &Matrix3<T>) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<T> RelativeEq for Matrix3<T>
where T: Num + Copy + RelativeEq, T::Epsilon: Clone,

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fn default_max_relative() -> Self::Epsilon

The default relative tolerance for testing values that are far-apart. Read more
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fn relative_eq( &self, other: &Self, epsilon: Self::Epsilon, max_relative: Self::Epsilon, ) -> bool

A test for equality that uses a relative comparison if the values are far apart.
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fn relative_ne( &self, other: &Rhs, epsilon: Self::Epsilon, max_relative: Self::Epsilon, ) -> bool

The inverse of ApproxEq::relative_eq.
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impl<T> Sub for Matrix3<T>
where T: Num + Copy + SubAssign<T>,

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type Output = Matrix3<T>

The resulting type after applying the - operator.
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fn sub(self, rhs: Self) -> Self

Performs the - operation. Read more
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impl<T> SubAssign for Matrix3<T>
where T: Num + Copy + SubAssign<T>,

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fn sub_assign(&mut self, rhs: Self)

Performs the -= operation. Read more
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impl<T> UlpsEq for Matrix3<T>
where T: Num + Copy + UlpsEq, T::Epsilon: Clone,

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fn default_max_ulps() -> u32

The default ULPs to tolerate when testing values that are far-apart. Read more
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fn ulps_eq(&self, other: &Self, epsilon: Self::Epsilon, max_ulps: u32) -> bool

A test for equality that uses units in the last place (ULP) if the values are far apart.
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fn ulps_ne(&self, other: &Rhs, epsilon: Self::Epsilon, max_ulps: u32) -> bool

The inverse of ApproxEq::ulps_eq.
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impl<T: Copy> Copy for Matrix3<T>

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impl<T> StructuralPartialEq for Matrix3<T>

Auto Trait Implementations§

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impl<T> Freeze for Matrix3<T>
where T: Freeze,

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impl<T> RefUnwindSafe for Matrix3<T>
where T: RefUnwindSafe,

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impl<T> Send for Matrix3<T>
where T: Send,

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impl<T> Sync for Matrix3<T>
where T: Sync,

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impl<T> Unpin for Matrix3<T>
where T: Unpin,

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impl<T> UnwindSafe for Matrix3<T>
where T: UnwindSafe,

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T> ToString for T
where T: Display + ?Sized,

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fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.