Stability | experimental |
---|---|
Maintainer | Scott N. Walck <walck@lvc.edu> |
Safe Haskell | Trustworthy |
- data Surface = Surface {
- surfaceFunc :: (Double, Double) -> Position
- lowerLimit :: Double
- upperLimit :: Double
- lowerCurve :: Double -> Double
- upperCurve :: Double -> Double
- unitSphere :: Surface
- centeredSphere :: Double -> Surface
- sphere :: Double -> Position -> Surface
- northernHemisphere :: Surface
- disk :: Double -> Surface
- shiftSurface :: Displacement -> Surface -> Surface
- surfaceIntegral :: (VectorSpace v, Scalar v ~ Double) => Int -> Int -> Field v -> Surface -> v
- dottedSurfaceIntegral :: Int -> Int -> VectorField -> Surface -> Double
Documentation
Surface is a parametrized function from two parameters to space, lower and upper limits on the first parameter, and lower and upper limits for the second parameter (expressed as functions of the first parameter).
Surface | |
|
A unit sphere, centered at the origin.
centeredSphere :: Double -> SurfaceSource
A sphere with given radius centered at the origin.
northernHemisphere :: SurfaceSource
The upper half of a unit sphere, centered at the origin.
shiftSurface :: Displacement -> Surface -> SurfaceSource
Shift a surface by a displacement.
:: (VectorSpace v, Scalar v ~ Double) | |
=> Int | number of intervals for first parameter, s |
-> Int | number of intervals for second parameter, t |
-> Field v | the scalar or vector field to integrate |
-> Surface | the surface over which to integrate |
-> v | the resulting scalar or vector |
A plane surface integral, in which area element is a scalar.
:: Int | number of intervals for first parameter, s |
-> Int | number of intervals for second parameter, t |
-> VectorField | the vector field to integrate |
-> Surface | the surface over which to integrate |
-> Double | the resulting scalar |
A dotted surface integral, in which area element is a vector.