matrix/mat3f

add

pub fn add(
  a: vec3.Vec3(vec3.Vec3(Float)),
  b: vec3.Vec3(vec3.Vec3(Float)),
) -> vec3.Vec3(vec3.Vec3(Float))

Adds two Mat3f together.

determinant

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pub fn determinant(mat: vec3.Vec3(vec3.Vec3(Float))) -> Float

Returns the determinant for the Mat3f.

divide

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pub fn divide(
  a: vec3.Vec3(vec3.Vec3(Float)),
  b: vec3.Vec3(vec3.Vec3(Float)),
) -> Result(vec3.Vec3(vec3.Vec3(Float)), Nil)

Divides one Mat3f by another. Equivalent to multiplying the inverse of the second matrix.

from_cols

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pub fn from_cols(
  a: vec3.Vec3(Float),
  b: vec3.Vec3(Float),
  c: vec3.Vec3(Float),
) -> vec3.Vec3(vec3.Vec3(Float))

Constructs a Mat3f from its three columns.

| ax  bx  cx |
| ay  by  cy |
| az  bz  cz |

from_diagonal

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pub fn from_diagonal(
  diag: vec3.Vec3(Float),
) -> vec3.Vec3(vec3.Vec3(Float))

Constructs a Mat3f with the given diagonal and all other entries set to 0.

| x    0.0  0.0 |
| 0.0  y    0.0 |
| 0.0  0.0  z   |

from_quaternion

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pub fn from_quaternion(
  q: vec4.Vec4(Float),
) -> vec3.Vec3(vec3.Vec3(Float))

Constructs a 3D rotation matrix from the given quaternion, represented as a vec4.Vec4(Float).

identity

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pub const identity: vec3.Vec3(vec3.Vec3(Float))

A Mat3f representing the identity, i.e. 1.0 is on the diagonal.

inverse

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pub fn inverse(
  mat: vec3.Vec3(vec3.Vec3(Float)),
) -> Result(vec3.Vec3(vec3.Vec3(Float)), Nil)

Inverts the Mat3f, returning an error if the determinant is zero.

mul_transpose_vec3

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pub fn mul_transpose_vec3(
  mat: vec3.Vec3(vec3.Vec3(Float)),
  rhs: vec3.Vec3(Float),
) -> vec3.Vec3(Float)

Transforms a Vec3f by the transpose of this Mat3f.

mul_vec3

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pub fn mul_vec3(
  mat: vec3.Vec3(vec3.Vec3(Float)),
  rhs: vec3.Vec3(Float),
) -> vec3.Vec3(Float)

Transforms a Vec3f by this Mat3f.

multiply

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pub fn multiply(
  a: vec3.Vec3(vec3.Vec3(Float)),
  b: vec3.Vec3(vec3.Vec3(Float)),
) -> vec3.Vec3(vec3.Vec3(Float))

Multiplies two Mat3f together.

negate

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pub fn negate(
  mat: vec3.Vec3(vec3.Vec3(Float)),
) -> vec3.Vec3(vec3.Vec3(Float))

Negates all elements of the Mat3f

new

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pub fn new(
  a: Float,
  b: Float,
  c: Float,
  d: Float,
  e: Float,
  f: Float,
  g: Float,
  h: Float,
  i: Float,
) -> vec3.Vec3(vec3.Vec3(Float))

Constructs a Mat3f from its components:

| a  d  g |
| b  e  h |
| c  f  i |

scale

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pub fn scale(
  mat: vec3.Vec3(vec3.Vec3(Float)),
  scale: Float,
) -> vec3.Vec3(vec3.Vec3(Float))

Scales the Mat3f by a Float factor.

scale_diagonal

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pub fn scale_diagonal(
  mat: vec3.Vec3(vec3.Vec3(Float)),
  scale: vec3.Vec3(Float),
) -> vec3.Vec3(vec3.Vec3(Float))

Scales the Mat3f by a Vec3f.

This is faster than creating a diagonal scaling matrix and then multiplying that.

subtract

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pub fn subtract(
  a: vec3.Vec3(vec3.Vec3(Float)),
  b: vec3.Vec3(vec3.Vec3(Float)),
) -> vec3.Vec3(vec3.Vec3(Float))

Subtracts one Mat3f from the other.

transpose

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pub fn transpose(
  mat: vec3.Vec3(vec3.Vec3(Float)),
) -> vec3.Vec3(vec3.Vec3(Float))

Transposes the Mat3f along the diagonal.

zero

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pub const zero: vec3.Vec3(vec3.Vec3(Float))

A Mat3f with all elements set to 0.0

matrix_gleam - v0.1.0

Types

Mat3f

Values

add