sicmutils.calculus.manifold — sicmutils 0.15.0

alternate-angles clj/s

attach-coordinate-system clj/s

(attach-coordinate-system manifold-family
                          coordinate-system-name
                          patch-name
                          coordinate-system-ctor)

Produces a new manifold family with the given coordinate system constructor attached and indexed by the patch and coordinate system names.

attach-patch clj/s

(attach-patch manifold-family patch-name)

Produces a new manifold with the supplied patch attached.

chart clj/s

(chart coordinate-system)

coordinate-system-at clj/s

(coordinate-system-at coordinate-system-name patch-name manifold)

Looks up the named coordinate system in the named patch of the given manifold; this locates a constructor, which is then applied to manifold to return an object implementing ICoordinateSystem.

diffop-name clj/s

(diffop-name form)

Euler-angles clj/s

get-coordinates clj/s

(get-coordinates manifold-point coordinate-system thunk)

Returns the representation of manifold-point in coordinate-system.

The point contains a cache of the coordinate system -> representation mapping. If an entry for the given coordinate-system is not found, thunk is called to produce the representation, which is then installed in the cache.

ICoordinateSystem clj/s protocol

check-coordinates clj/s

(check-coordinates this coords)

check-point clj/s

(check-point this point)

coordinate-prototype clj/s

(coordinate-prototype this)

coords->point clj/s

(coords->point this coords)

manifold clj/s

(manifold this)

point->coords clj/s

(point->coords this point)

with-coordinate-prototype clj/s

(with-coordinate-prototype this coordinate-prototype)

literal-manifold-function clj/s

(literal-manifold-function name coordinate-system)

make-manifold clj/s

(make-manifold manifold-family n & [embedding-dimension])

Specialize a manifold-family into a particular manifold by specifying its dimension.

make-manifold-family clj/s

(make-manifold-family name-format & {:keys [over] :or {over (quote Real)}})

make-patch clj/s

(make-patch name)

point clj/s

(point coordinate-system)

point->manifold clj/s

(point->manifold point)

Return the manifold upon which this point was defined.

R1 clj/s

R1-rect clj/s

R2 clj/s

R2-polar clj/s

R2-rect clj/s

R3 clj/s

R3-cyl clj/s

R3-rect clj/s

Rn clj/s

S2 clj/s

S2-Riemann clj/s

S2-spherical clj/s

S2-stereographic clj/s

S2-type clj/s

Sn clj/s

SO3 clj/s

SO3-type clj/s