Vec-Transform-1.0.0: Extends the Vec package with some 4x4 transform matrices Source code Contents Index

Data.Vec.LinAlg.Transform3D

Description

Some 4x4 transformation matrices, using a right handed coordinate system. These matrices are used by multiplying vectors from the right.

Synopsis

translation :: Num a => Vec3 a -> Mat44 a rotationX :: Floating a => a -> Mat44 a rotationY :: Floating a => a -> Mat44 a rotationZ :: Floating a => a -> Mat44 a rotationVec :: Floating a => Vec3 a -> a -> Mat44 a rotationEuler :: Floating a => Vec3 a -> Mat44 a rotationQuat :: Num a => Vec4 a -> Mat44 a scaling :: Num a => Vec3 a -> Mat44 a perspective :: Floating a => a -> a -> a -> a -> Mat44 a orthogonal :: Fractional a => a -> a -> Vec2 a -> Mat44 a

Documentation

translation :: Num a => Vec3 a -> Mat44 a Source

A 4x4 translation matrix

rotationX Source

:: Floating a => a The angle in radians -> Mat44 a A 4x4 rotation matrix for a rotation around the X axis

rotationY Source

:: Floating a => a The angle in radians -> Mat44 a A 4x4 rotation matrix for a rotation around the Y axis

rotationZ Source

:: Floating a => a The angle in radians -> Mat44 a A 4x4 rotation matrix for a rotation around the Z axis

rotationVec Source

:: Floating a => Vec3 a The normalized vector around which the rotation goes -> a The angle in radians -> Mat44 a A 4x4 rotation matrix for a rotation around an arbitrary normalized vector

rotationEuler :: Floating a => Vec3 a -> Mat44 a Source

A 4x4 rotation matrix from the euler angles yaw pitch and roll. Could be useful in e.g. first person shooter games,

rotationQuat Source

:: Num a => Vec4 a The quaternion with the real part (w) last -> Mat44 a A 4x4 rotation matrix from a normalized quaternion. Useful for most free flying rotations, such as airplanes.

scaling :: Num a => Vec3 a -> Mat44 a Source

A 4x4 scaling matrix

perspective Source

:: Floating a => a Near plane clipping distance -> a Far plane clipping distance -> a Field of view of the y axis, in radians -> a Aspect ratio, i.e. screen's width/height -> Mat44 a A perspective projection matrix for a right handed coordinate system looking down negative z

orthogonal Source

:: Fractional a => a Near plane clipping distance -> a Far plane clipping distance -> Vec2 a The size of the view (center aligned around origo) -> Mat44 a An orthogonal projection matrix for a right handed coordinate system looking down negative z

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