matrix/mat2f

add

pub fn add(
  a: vec2.Vec2(vec2.Vec2(Float)),
  b: vec2.Vec2(vec2.Vec2(Float)),
) -> vec2.Vec2(vec2.Vec2(Float))

Adds two Mat2f together.

determinant

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pub fn determinant(mat: vec2.Vec2(vec2.Vec2(Float))) -> Float

Returns the determinant for the Mat2f.

divide

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pub fn divide(
  a: vec2.Vec2(vec2.Vec2(Float)),
  b: vec2.Vec2(vec2.Vec2(Float)),
) -> Result(vec2.Vec2(vec2.Vec2(Float)), Nil)

Divides one Mat2f by another. Equivalent to multiplying the inverse of the second matrix.

from_angle

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pub fn from_angle(angle: Float) -> vec2.Vec2(vec2.Vec2(Float))

Constructs a Mat2f from a rotation angle in radians.

from_cols

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pub fn from_cols(
  a: vec2.Vec2(Float),
  b: vec2.Vec2(Float),
) -> vec2.Vec2(vec2.Vec2(Float))

Constructs a Mat2f from its two columns.

| ax  bx |
| ay  by |

from_diagonal

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pub fn from_diagonal(
  diag: vec2.Vec2(Float),
) -> vec2.Vec2(vec2.Vec2(Float))

Constructs a Mat2f with the given diagonal and all other entries set to 0.

| x    0.0 |
| 0.0  y   |

from_scale_angle

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pub fn from_scale_angle(
  scale: vec2.Vec2(Float),
  angle: Float,
) -> vec2.Vec2(vec2.Vec2(Float))

Constructs a Mat2f from scale factor (as a Vec2f) and a rotation in radians.

identity

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pub const identity: vec2.Vec2(vec2.Vec2(Float))

A Mat2f representing the identity, i.e. 1.0 is on the diagonal.

inverse

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pub fn inverse(
  mat: vec2.Vec2(vec2.Vec2(Float)),
) -> Result(vec2.Vec2(vec2.Vec2(Float)), Nil)

Inverts the Mat2f, returning an error if the determinant is zero.

mul_transpose_vec2

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pub fn mul_transpose_vec2(
  mat: vec2.Vec2(vec2.Vec2(Float)),
  rhs: vec2.Vec2(Float),
) -> vec2.Vec2(Float)

Transforms a Vec2f by the transpose of this Mat2f.

mul_vec2

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pub fn mul_vec2(
  mat: vec2.Vec2(vec2.Vec2(Float)),
  rhs: vec2.Vec2(Float),
) -> vec2.Vec2(Float)

Transforms a Vec2f by this Mat2f.

multiply

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pub fn multiply(
  a: vec2.Vec2(vec2.Vec2(Float)),
  b: vec2.Vec2(vec2.Vec2(Float)),
) -> vec2.Vec2(vec2.Vec2(Float))

Multiplies two Mat2f together.

negate

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pub fn negate(
  mat: vec2.Vec2(vec2.Vec2(Float)),
) -> vec2.Vec2(vec2.Vec2(Float))

Negates all elements of the Mat2f

new

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pub fn new(
  a: Float,
  b: Float,
  c: Float,
  d: Float,
) -> vec2.Vec2(vec2.Vec2(Float))

Constructs a Mat2f from its components:

| a  c |
| b  d |

scale

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pub fn scale(
  mat: vec2.Vec2(vec2.Vec2(Float)),
  scale: Float,
) -> vec2.Vec2(vec2.Vec2(Float))

Scales the Mat2f by a Float factor.

scale_diagonal

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pub fn scale_diagonal(
  mat: vec2.Vec2(vec2.Vec2(Float)),
  scale: vec2.Vec2(Float),
) -> vec2.Vec2(vec2.Vec2(Float))

Scales the Mat2f by a Vec2f.

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

subtract

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pub fn subtract(
  a: vec2.Vec2(vec2.Vec2(Float)),
  b: vec2.Vec2(vec2.Vec2(Float)),
) -> vec2.Vec2(vec2.Vec2(Float))

Subtracts one Mat2f from the other.

transpose

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pub fn transpose(
  mat: vec2.Vec2(vec2.Vec2(Float)),
) -> vec2.Vec2(vec2.Vec2(Float))

Transposes the Mat2f along the diagonal.

zero

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pub const zero: vec2.Vec2(vec2.Vec2(Float))

A Mat2f with all elements set to 0.0

matrix_gleam - v0.1.0

Types

Mat2f

Values

add