Struct cgmath::Matrix3[][src]

#[repr(C)]
pub struct Matrix3<S> { pub x: Vector3<S>, pub y: Vector3<S>, pub z: Vector3<S>, }
Expand description

A 3 x 3, column major matrix

This type is marked as #[repr(C)].

Fields

x: Vector3<S>

The first column of the matrix.

y: Vector3<S>

The second column of the matrix.

z: Vector3<S>

The third column of the matrix.

Implementations

Create a new matrix, providing values for each index.

Create a new matrix, providing columns.

Create a homogeneous transformation matrix from a translation vector.

Create a homogeneous transformation matrix from a scale value.

Create a homogeneous transformation matrix from a set of scale values.

👎 Deprecated:

Use Matrix3::look_to_lh

Create a rotation matrix that will cause a vector to point at dir, using up for orientation.

Create a rotation matrix that will cause a vector to point at dir, using up for orientation.

Create a rotation matrix that will cause a vector to point at dir, using up for orientation.

Create a rotation matrix from a rotation around the x axis (pitch).

Create a rotation matrix from a rotation around the y axis (yaw).

Create a rotation matrix from a rotation around the z axis (roll).

Create a rotation matrix from an angle around an arbitrary axis.

The specified axis must be normalized, or it represents an invalid rotation.

Are all entries in the matrix finite.

Component-wise casting to another type

Trait Implementations

Used for specifying relative comparisons.

The default tolerance to use when testing values that are close together. Read more

A test for equality that uses the absolute difference to compute the approximate equality of two numbers. Read more

The inverse of AbsDiffEq::abs_diff_eq.

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

Performs the += operation. Read more

Performs the conversion.

Performs the conversion.

Performs the conversion.

Performs the conversion.

Performs the conversion.

Returns a copy of the value. Read more

Performs copy-assignment from source. Read more

Formats the value using the given formatter. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

Performs the /= operation. Read more

Performs the conversion.

Performs the conversion.

Performs the conversion.

Performs the conversion.

Performs the conversion.

Performs the conversion.

Performs the conversion.

Performs the conversion.

Clone the elements of a 2-dimensional matrix into the top-left corner of a 3-dimensional identity matrix.

Clone the elements of a 3-dimensional matrix into the top-left corner of a 4-dimensional identity matrix.

Convert the matrix to a quaternion

Convert the quaternion to a 3 x 3 rotation matrix.

The returned type after indexing.

Performs the indexing (container[index]) operation. Read more

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

Performs the conversion.

The column vector of the matrix.

The row vector of the matrix.

The result of transposing the matrix

Get a row from this matrix by-value.

Swap two rows of this array.

Swap two columns of this array.

Swap the values at index a and b

Transpose this matrix, returning a new matrix.

Get the pointer to the first element of the array.

Get a mutable pointer to the first element of the array.

Replace a column in the array.

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

Performs the *= operation. Read more

The resulting type after applying the - operator.

Performs the unary - operation. Read more

The resulting type after applying the - operator.

Performs the unary - operation. Read more

Returns the multiplicative identity element of Self, 1. Read more

Sets self to the multiplicative identity element of Self, 1.

Returns true if self is equal to the multiplicative identity. Read more

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

This method tests for !=.

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

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

The default relative tolerance for testing values that are far-apart. Read more

A test for equality that uses a relative comparison if the values are far apart.

The inverse of RelativeEq::relative_eq.

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

Performs the %= operation. Read more

The row/column vector of the matrix. Read more

Create a new diagonal matrix using the supplied value.

Create a matrix from a non-uniform scale

Transpose this matrix in-place.

Take the determinant of this matrix.

Return a vector containing the diagonal of this matrix.

Invert this matrix, returning a new matrix. m.mul_m(m.invert()) is the identity matrix. Returns None if this matrix is not invertible (has a determinant of zero). Read more

Test if this is a diagonal matrix. That is, every element outside of the diagonal is 0. Read more

Test if this matrix is symmetric. That is, it is equal to its transpose. Read more

The identity matrix. Multiplying this matrix with another should have no effect. Read more

Return the trace of this matrix. That is, the sum of the diagonal.

Test if this matrix is invertible.

Test if this matrix is the identity matrix. That is, it is diagonal and every element in the diagonal is one. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

Performs the -= operation. Read more

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

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

👎 Deprecated:

Use look_at_rh or look_at_lh

Create a transformation that rotates a vector to look at center from eye, using up for orientation. Read more

Create a transformation that rotates a vector to look at center from eye, using up for orientation. Read more

Create a transformation that rotates a vector to look at center from eye, using up for orientation. Read more

Transform a vector using this transform.

Transform a point using this transform.

Combine this transform with another, yielding a new transformation which has the effects of both. Read more

Create a transform that “un-does” this one.

Inverse transform a vector using this transform

Combine this transform with another, in-place.

👎 Deprecated:

Use look_at_rh or look_at_lh

Create a transformation that rotates a vector to look at center from eye, using up for orientation. Read more

Create a transformation that rotates a vector to look at center from eye, using up for orientation. Read more

Create a transformation that rotates a vector to look at center from eye, using up for orientation. Read more

Transform a vector using this transform.

Transform a point using this transform.

Combine this transform with another, yielding a new transformation which has the effects of both. Read more

Create a transform that “un-does” this one.

Inverse transform a vector using this transform

Combine this transform with another, in-place.

The default ULPs to tolerate when testing values that are far-apart. Read more

A test for equality that uses units in the last place (ULP) if the values are far apart.

The inverse of UlpsEq::ulps_eq.

The associated scalar.

Returns the result of linearly interpolating the vector towards other by the specified amount. Read more

Returns the additive identity element of Self, 0. Read more

Returns true if self is equal to the additive identity.

Sets self to the additive identity element of Self, 0.

Auto Trait Implementations

Blanket Implementations

Gets the TypeId of self. Read more

Immutably borrows from an owned value. Read more

Mutably borrows from an owned value. Read more

Performs the conversion.

Performs the conversion.

The resulting type after obtaining ownership.

Creates owned data from borrowed data, usually by cloning. Read more

🔬 This is a nightly-only experimental API. (toowned_clone_into)

Uses borrowed data to replace owned data, usually by cloning. Read more

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.