Maintainer  diagramsdiscuss@googlegroups.com 

Safe Haskell  None 
Names can be given to subdiagrams, and subdiagrams can later be queried by name. This module exports types for representing names and subdiagrams, and various functions for working with them.
 data AName
 data Name
 class (Typeable a, Ord a, Show a) => IsName a where
 (.>) :: (IsName a1, IsName a2) => a1 > a2 > Name
 class Qualifiable q where
 data Subdiagram b v m
 mkSubdiagram :: QDiagram b v m > Subdiagram b v m
 subPoint :: (HasLinearMap v, InnerSpace v, OrderedField (Scalar v), Semigroup m) => Point v > Subdiagram b v m
 getSub :: (HasLinearMap v, InnerSpace v, Floating (Scalar v), Ord (Scalar v), Semigroup m) => Subdiagram b v m > QDiagram b v m
 rawSub :: Subdiagram b v m > QDiagram b v m
 location :: HasLinearMap v => Subdiagram b v m > Point v
 data SubMap b v m
 fromNames :: IsName a => [(a, Subdiagram b v m)] > SubMap b v m
 rememberAs :: IsName a => a > QDiagram b v m > SubMap b v m > SubMap b v m
 lookupSub :: IsName n => n > SubMap b v m > Maybe [Subdiagram b v m]
 named :: (IsName n, HasLinearMap v, InnerSpace v, OrderedField (Scalar v), Semigroup m) => n > QDiagram b v m > QDiagram b v m
 nameSub :: (IsName n, HasLinearMap v, InnerSpace v, OrderedField (Scalar v), Semigroup m) => (QDiagram b v m > Subdiagram b v m) > n > QDiagram b v m > QDiagram b v m
 namePoint :: (IsName n, HasLinearMap v, InnerSpace v, OrderedField (Scalar v), Semigroup m) => (QDiagram b v m > Point v) > n > QDiagram b v m > QDiagram b v m
 localize :: (HasLinearMap v, InnerSpace v, OrderedField (Scalar v), Semigroup m) => QDiagram b v m > QDiagram b v m
 names :: (HasLinearMap v, InnerSpace v, Semigroup m, OrderedField (Scalar v)) => QDiagram b v m > [(Name, [Point v])]
 lookupName :: (IsName n, HasLinearMap v, InnerSpace v, Semigroup m, OrderedField (Scalar v)) => n > QDiagram b v m > Maybe (Subdiagram b v m)
 withName :: (IsName n, HasLinearMap v, InnerSpace v, Semigroup m, OrderedField (Scalar v)) => n > (Subdiagram b v m > QDiagram b v m > QDiagram b v m) > QDiagram b v m > QDiagram b v m
 withNameAll :: (IsName n, HasLinearMap v, InnerSpace v, Semigroup m, OrderedField (Scalar v)) => n > ([Subdiagram b v m] > QDiagram b v m > QDiagram b v m) > QDiagram b v m > QDiagram b v m
 withNames :: (IsName n, HasLinearMap v, InnerSpace v, Semigroup m, OrderedField (Scalar v)) => [n] > ([Subdiagram b v m] > QDiagram b v m > QDiagram b v m) > QDiagram b v m > QDiagram b v m
Names
data AName
data Name
A (qualified) name is a (possibly empty) sequence of atomic names.
Eq Name  
Ord Name  
Show Name  
Typeable Name  
Semigroup Name  
Monoid Name  
IsName Name  
Qualifiable Name  Of course, names can be qualified using 
Wrapped Name  
Rewrapped Name Name  
Action Name (Envelope v)  
Action Name (Trace v)  
Action Name a => Action Name (Deletable a)  
Action Name (Query v m)  
Action Name (SubMap b v m)  A name acts on a name map by qualifying every name in it. 
class (Typeable a, Ord a, Show a) => IsName a where
Class for those types which can be used as names. They must
support Typeable
(to facilitate extracting them from
existential wrappers), Ord
(for comparison and efficient
storage) and Show
.
To make an instance of IsName
, you need not define any methods,
just declare it.
WARNING: it is not recommended to use
GeneralizedNewtypeDeriving
in conjunction with IsName
, since
in that case the underlying type and the newtype
will be
considered equivalent when comparing names. For example:
newtype WordN = WordN Int deriving (Show, Ord, Eq, Typeable, IsName)
is unlikely to work as intended, since (1 :: Int)
and (WordN 1)
will be considered equal as names. Instead, use
newtype WordN = WordN Int deriving (Show, Ord, Eq, Typeable, IsName) instance IsName WordN
(.>) :: (IsName a1, IsName a2) => a1 > a2 > Name
Convenient operator for writing qualified names with atomic
components of different types. Instead of writing toName a1 <>
toName a2 <> toName a3
you can just write a1 .> a2 .> a3
.
class Qualifiable q where
Instances of Qualifiable
are things which can be qualified by
prefixing them with a name.
Qualifiable Name  Of course, names can be qualified using 
Qualifiable a => Qualifiable [a]  
(Ord a, Qualifiable a) => Qualifiable (Set a)  
Qualifiable a => Qualifiable (TransInv a)  
Qualifiable a => Qualifiable (Located a)  
Qualifiable a => Qualifiable (b > a)  
(Qualifiable a, Qualifiable b) => Qualifiable (a, b)  
Qualifiable a => Qualifiable (Map k a)  
(Qualifiable a, Qualifiable b, Qualifiable c) => Qualifiable (a, b, c)  
(HasLinearMap v, InnerSpace v, OrderedField (Scalar v), Semigroup m) => Qualifiable (QDiagram b v m)  Diagrams can be qualified so that all their named points can now be referred to using the qualification prefix. 
Qualifiable (SubMap b v m) 

Subdiagrams
data Subdiagram b v m
A Subdiagram
represents a diagram embedded within the context
of a larger diagram. Essentially, it consists of a diagram
paired with any accumulated information from the larger context
(transformations, attributes, etc.).
Functor (Subdiagram b v)  
(OrderedField (Scalar v), InnerSpace v, HasLinearMap v, Monoid' m) => Enveloped (Subdiagram b v m)  
(OrderedField (Scalar v), HasLinearMap v, InnerSpace v, Semigroup m) => Traced (Subdiagram b v m)  
(HasLinearMap v, InnerSpace v, Floating (Scalar v)) => Transformable (Subdiagram b v m)  
(HasLinearMap v, InnerSpace v, OrderedField (Scalar v)) => HasOrigin (Subdiagram b v m) 
mkSubdiagram :: QDiagram b v m > Subdiagram b v m
Turn a diagram into a subdiagram with no accumulated context.
subPoint :: (HasLinearMap v, InnerSpace v, OrderedField (Scalar v), Semigroup m) => Point v > Subdiagram b v m
Create a "point subdiagram", that is, a pointDiagram
(with no
content and a point envelope) treated as a subdiagram with local
origin at the given point. Note this is not the same as
mkSubdiagram . pointDiagram
, which would result in a subdiagram
with local origin at the parent origin, rather than at the given
point.
getSub :: (HasLinearMap v, InnerSpace v, Floating (Scalar v), Ord (Scalar v), Semigroup m) => Subdiagram b v m > QDiagram b v m
Turn a subdiagram into a normal diagram, including the enclosing
context. Concretely, a subdiagram is a pair of (1) a diagram and
(2) a "context" consisting of an extra transformation and
attributes. getSub
simply applies the transformation and
attributes to the diagram to get the corresponding "toplevel"
diagram.
rawSub :: Subdiagram b v m > QDiagram b v m
Extract the "raw" content of a subdiagram, by throwing away the context.
location :: HasLinearMap v => Subdiagram b v m > Point v
Get the location of a subdiagram; that is, the location of its local origin with respect to the vector space of its parent diagram. In other words, the point where its local origin "ended up".
Subdiagram maps
data SubMap b v m
A SubMap
is a map associating names to subdiagrams. There can
be multiple associations for any given name.
Action Name (SubMap b v m)  A name acts on a name map by qualifying every name in it. 
Functor (SubMap b v)  
Semigroup (SubMap b v m)  
Monoid (SubMap b v m) 

Qualifiable (SubMap b v m) 

(InnerSpace v, Floating (Scalar v), HasLinearMap v) => Transformable (SubMap b v m)  
(OrderedField (Scalar v), InnerSpace v, HasLinearMap v) => HasOrigin (SubMap b v m)  
Wrapped (SubMap b v m)  
Rewrapped (SubMap b v m) (SubMap b' v' m') 
fromNames :: IsName a => [(a, Subdiagram b v m)] > SubMap b v m
Construct a SubMap
from a list of associations between names
and subdiagrams.
rememberAs :: IsName a => a > QDiagram b v m > SubMap b v m > SubMap b v m
Add a name/diagram association to a submap.
lookupSub :: IsName n => n > SubMap b v m > Maybe [Subdiagram b v m]
Look for the given name in a name map, returning a list of subdiagrams associated with that name. If no names match the given name exactly, return all the subdiagrams associated with names of which the given name is a suffix.
Naming things
named :: (IsName n, HasLinearMap v, InnerSpace v, OrderedField (Scalar v), Semigroup m) => n > QDiagram b v m > QDiagram b v mSource
Attach an atomic name to a diagram.
nameSub :: (IsName n, HasLinearMap v, InnerSpace v, OrderedField (Scalar v), Semigroup m) => (QDiagram b v m > Subdiagram b v m) > n > QDiagram b v m > QDiagram b v m
Attach an atomic name to a certain subdiagram, computed from the
given diagram /with the mapping from name to subdiagram
included/. The upshot of this knottying is that if d' = d #
named x
, then lookupName x d' == Just d'
(instead of Just
d
).
namePoint :: (IsName n, HasLinearMap v, InnerSpace v, OrderedField (Scalar v), Semigroup m) => (QDiagram b v m > Point v) > n > QDiagram b v m > QDiagram b v mSource
Attach an atomic name to a certain point (which may be computed from the given diagram), treated as a subdiagram with no content and a point envelope.
localize :: (HasLinearMap v, InnerSpace v, OrderedField (Scalar v), Semigroup m) => QDiagram b v m > QDiagram b v m
"Localize" a diagram by hiding all the names, so they are no longer visible to the outside.
Querying by name
names :: (HasLinearMap v, InnerSpace v, Semigroup m, OrderedField (Scalar v)) => QDiagram b v m > [(Name, [Point v])]
Get a list of names of subdiagrams and their locations.
lookupName :: (IsName n, HasLinearMap v, InnerSpace v, Semigroup m, OrderedField (Scalar v)) => n > QDiagram b v m > Maybe (Subdiagram b v m)
Lookup the most recent diagram associated with (some qualification of) the given name.
withName :: (IsName n, HasLinearMap v, InnerSpace v, Semigroup m, OrderedField (Scalar v)) => n > (Subdiagram b v m > QDiagram b v m > QDiagram b v m) > QDiagram b v m > QDiagram b v m
Given a name and a diagram transformation indexed by a subdiagram, perform the transformation using the most recent subdiagram associated with (some qualification of) the name, or perform the identity transformation if the name does not exist.
withNameAll :: (IsName n, HasLinearMap v, InnerSpace v, Semigroup m, OrderedField (Scalar v)) => n > ([Subdiagram b v m] > QDiagram b v m > QDiagram b v m) > QDiagram b v m > QDiagram b v m
Given a name and a diagram transformation indexed by a list of subdiagrams, perform the transformation using the collection of all such subdiagrams associated with (some qualification of) the given name.
withNames :: (IsName n, HasLinearMap v, InnerSpace v, Semigroup m, OrderedField (Scalar v)) => [n] > ([Subdiagram b v m] > QDiagram b v m > QDiagram b v m) > QDiagram b v m > QDiagram b v m
Given a list of names and a diagram transformation indexed by a list of subdiagrams, perform the transformation using the list of most recent subdiagrams associated with (some qualification of) each name. Do nothing (the identity transformation) if any of the names do not exist.