linear

Linear Algebra

http://github.com/ekmett/linear/

Version on this page:1.15.5@rev:1
LTS Haskell 24.25:1.23.2
Stackage Nightly 2025-12-24:1.23.2
Latest on Hackage:1.23.2

See all snapshots linear appears in

BSD-3-Clause licensed by Edward A. Kmett
Maintained by Edward A. Kmett
This version can be pinned in stack with:linear-1.15.5@sha256:8299e69032ccb46e06a18cb528ba64d9554b0bb346a72114983d6f131f92df68,2761

Module documentation for 1.15.5

  • Linear
    • Linear.Affine
    • Linear.Algebra
    • Linear.Binary
    • Linear.Conjugate
    • Linear.Covector
    • Linear.Epsilon
    • Linear.Instances
    • Linear.Matrix
    • Linear.Metric
    • Linear.Plucker
      • Linear.Plucker.Coincides
    • Linear.Projection
    • Linear.Quaternion
    • Linear.Trace
    • Linear.V
    • Linear.V0
    • Linear.V1
    • Linear.V2
    • Linear.V3
    • Linear.V4
    • Linear.Vector
Used by 1 package in lts-0.7(full list with versions):
linear-accelerate

linear

Highly polymorphic vector space operations on sparse and free vector spaces.

Contact Information

Contributions and bug reports are welcome!

Please feel free to contact me through github or on the #haskell IRC channel on irc.freenode.net.

-Edward Kmett

Changes

1.15.5

  • Added Metric instances for [], ZipList, Maybe
  • Added det44 and inv44 to Linear.Matrix
  • Added Data instance for Point

1.15.4

  • Added Typeable and Data instances for V

1.15.3

  • Added missing FunctorWithIndex, FoldableWithIndex and TraversableWithIndex Int (V n) instances for V

1.15.2

  • Added frustum, analogous to the old glFrustum call.
  • Added inverseInfinitePerspective, inverseOrtho, inverseFrustum.

1.15.1

  • Added inversePerspective. It is much more accurate to compute it directly than to compute an inverse.

1.15.0.1

  • Fixed build failures caused by Linear re-exporting the old name.

1.15

  • Renamed Linear.Perspective to Linear.Projection.
  • Fixed a build issue with GHC HEAD.

1.14.0.1

  • Fixed test failures caused by 1.14

1.14

  • Moved Coincides to Linear.Plucker.Coincides. The constructors Line and Ray oft collided with user code.

1.13

  • Switched ‘ortho’ to follow the OpenGL handedness.

1.12.1

  • Added “swizzle” lenses e.g. _yzx, which are useful for working with libraries like gl.

1.12

  • Added ‘transpose’
  • Added missing ‘Mxy’ matrices up to 4 dimensions – they were commonly reimplemented by users.

1.11.3

  • Fixed an issue with UndecidableInstances on GHC 7.6.3

1.11.2

  • Added Linear.Perspective.

1.11.1

  • Added _Point, relative and a few instances for Point.

1.11

  • Changed the ‘representation’ of V n from E (V n), which was hard to use, to Int, which is a bit too permissive, but is easy to use.

1.10.1

  • Added Linear.V2.angle.

1.10

  • Added Hashable instances.

1.9.1

  • Added a role annotation to V n a to prevent users from using GHC 7.8’s Coercible machinery to violate invariants.

1.9.0.1

  • Fixed a broken build

1.9

  • Added MonadZip instances.
  • Added MonadFix instances.
  • Added Control.Lens.Each.Each instances

1.8.1

  • Bugfixed slerp

1.8

  • Added missing Unbox instances for working with unboxed vectors of linear data types.

1.7

  • Fixed axisAngle
  • unit now has a rank 1 type.

1.5

  • lens 4 compatibility

1.4

  • Renamed incore to column and added an example.

1.3.1.1

  • Build bugfix

1.3.1

  • Better implementations of basis and basisFor.
  • Derived Generic instances.

1.2

  • Improved matrix multiplication to properly support the sparse/sparse case.

1.1.4

  • Marked modules Trustworthy as necessary.

1.1.2

  • Dependency bump for reflection compatibility

1.1.1

  • Fixed an infinite loop in the default definition of liftI2.

1.1

  • Added Additive instances for [], Maybe and Vector.

1.0

  • Strict vectors
  • Exported mkTransformationMat
  • Bumped dependency bounds

0.9.1 [bug fix]

  • Exported Linear.V0!

0.9

  • Added sparse vector support.

0.8

  • Added Linear.V0

0.7

  • Added Linear.Instances
  • More documentation

0.6

  • Removed the direct dependency on lens.
  • Added Linear.Core to cover vector spaces as corepresentable functors.

0.5

  • Added Ix instances for V2, V3, and V4

0.4.2.2

  • Removed the upper bound on distributive

0.2

  • Initial hackage release