sicmutils.calculus.manifold — net.littleredcomputer/sicmutils 0.12.0

alternate-angles clj

attach-coordinate-system clj

(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

(attach-patch manifold-family patch-name)

Produces a new manifold with the supplied patch attached.

chart clj

(chart coordinate-system)

coordinate-system-at clj

(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 produce the result: an object implementing ICoordinateSystem.

diffop-name clj

(diffop-name form)

Euler-angles clj

get-coordinates clj

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

Get 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 protocol

check-coordinates clj

(check-coordinates this coords)

check-point clj

(check-point this point)

coordinate-prototype clj

(coordinate-prototype this)

coords->point clj

(coords->point this coords)

manifold clj

(manifold this)

point->coords clj

(point->coords this point)

with-coordinate-prototype clj

(with-coordinate-prototype this coordinate-prototype)

literal-manifold-function clj

(literal-manifold-function name coordinate-system)

make-manifold clj

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

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

make-manifold-family clj

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

make-patch clj

(make-patch name)

point clj

(point coordinate-system)

point->manifold clj

(point->manifold point)

Return the manifold upon which this point was defined.

R1 clj

R1-rect clj

R2 clj

R2-polar clj

R2-rect clj

R3 clj

R3-cyl clj

R3-rect clj

Rn clj

S2 clj

S2-Riemann clj

S2-spherical clj

S2-stereographic clj

S2-type clj

Sn clj

SO3 clj

SO3-type clj