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delta.cljc
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delta.cljc
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(ns meander.matrix.delta
"Operators for pattern matrices."
(:refer-clojure :exclude [empty?])
(:require [clojure.spec.alpha :as s]
[clojure.set :as set]
[clojure.spec.gen.alpha :as s.gen]
[meander.syntax.delta :as r.syntax]))
(s/def :meander.matrix.delta/matrix
(s/coll-of :meander.matrix.delta/row
:kind sequential?
:into []
:gen (fn []
(s.gen/fmap
(fn [rows]
;; All rows of a matrix must have equal width.
(let [i (reduce min (map (comp count :cols) rows))]
(into []
(map
(fn [row]
(update row :cols subvec 0 i)))
rows)))
(s.gen/vector
(s/gen :meander.matrix.delta/row))))))
(s/def :meander.matrix.delta.row/path
(s/coll-of :meander.syntax.delta/node
:kind sequential?
:into []))
(s/def :meander.matrix.delta.row/refs
(s/map-of :meander.syntax.delta.node/ref
:meander.matrix.delta/ref-map))
(s/def :meander.matrix.delta/row
(s/keys :req-un [:meander.matrix.delta.row/cols
:meander.matrix.delta.row/rhs]
:opt-un [:meander.matrix.delta.row/env
:meander.matrix.delta.row/refs
:meander.matrix.delta.row/path]))
(s/def :meander.matrix.delta.row/cols
(s/coll-of :meander.syntax.delta/node
:kind sequential?
:into []))
(s/def :meander.matrix.delta.row/rhs
any?)
(s/def :meander.matrix.delta.row/env
(s/coll-of (s/or :lvr :meander.syntax.delta/logic-variable
:mvr :meander.syntax.delta/memory-variable)
:kind set?
:into #{}))
(s/def :meander.matrix.delta/object
(s/or :matrix :meander.matrix.delta/matrix
:row :meander.matrix.delta/row
:unknown any?))
;; ---------------------------------------------------------------------
;; Matrix
(def empty-row
{:cols []
:rhs nil
:env #{}
:refs {}
:ref-specs {}})
(defn make-row
[cols rhs]
(assoc empty-row :cols cols :rhs rhs))
(defn action [row]
(:rhs row))
(defn row?
"true if x is a matrix row."
[x]
(s/valid? :meander.matrix.delta/row x))
(defn empty?
"true if matrix has no columns."
[matrix]
(every?
(fn [row]
(not (seq (:cols row))))
matrix))
(defn element
([matrix i j]
(nth (:cols (nth matrix i)) j))
([matrix i j not-found]
(let [x (nth matrix i not-found)]
(if (identical? x not-found)
not-found
(nth (:cols x) j not-found)))))
(defn swap
"Swap elements at positions i and j in the vector v."
[v i j]
(let [v (vec v)]
(assoc v i (nth v j) j (nth v i))))
(s/fdef swap-column
:args (s/cat :matrix :meander.matrix.delta/matrix
:i nat-int?
:j nat-int?)
:ret :meander.matrix.delta/matrix)
(defn swap-column
"Swaps column i with column j in the matrix."
[matrix i j]
(into [] (map
(fn [row]
(update row :cols swap i j)))
matrix))
(s/fdef subcols
:args (s/or :a2 (s/cat :matrix :meander.matrix.delta/matrix
:i nat-int?)
:a3 (s/cat :matrix :meander.matrix.delta/matrix
:i nat-int?
:j nat-int?))
:ret :meander.matrix.delta/matrix)
(defn subcols
"Return matrix with only the columns after i or i through j."
([matrix i]
(into [] (map
(fn [row]
(update row :cols subvec i)))
matrix))
([matrix i j]
(into [] (map
(fn [row]
(update row :cols subvec i j)))
matrix)))
(s/fdef width
:args (s/cat :matrix :meander.matrix.delta/matrix)
:ret nat-int?)
(defn width
[matrix]
(count (:cols (first matrix))))
(s/fdef nth-column
:args (s/cat :matrix :meander.matrix.delta/matrix)
:ret (s/coll-of :meander.syntax.delta/node))
(defn nth-column
([matrix index]
(into [] (comp (map :cols)
(map
(fn [col]
(nth col index))))
matrix))
([matrix index not-found]
(into [] (comp (map :cols)
(map
(fn [col]
(nth col index not-found))))
matrix)))
(defn first-column
"Return the first column in matrix."
[matrix]
(nth-column matrix 0 nil))
(defn columns
[matrix]
(sequence
(map nth-column)
(repeat matrix)
(range (width matrix))))
(s/fdef drop-column
:args (s/cat :matrix :meander.matrix.delta/matrix)
:ret :meander.matrix.delta/matrix)
(defn drop-column
"Drop the first column in row."
[matrix]
(into [] (map
(fn [row]
(if (= (:cols row) [])
row
(update row :cols subvec 1))))
matrix))
(s/fdef prepend-column
:args (s/cat :matrix :meander.matrix.delta/matrix
:column (s/coll-of :meander.syntax.delta/node
:kind sequential?
:into []))
:ret :meander.matrix.delta/matrix)
(defn prepend-column
"Prepends column to matrix."
[matrix column]
(into [] (map
(fn [row cell]
(assoc row :cols (into [cell] (:cols row))))
matrix
column)))
(s/fdef specialize-by
:args (s/cat :f (s/fspec
:args (s/cat :node :meander.syntax.delta/node)
:ret any?)
:matrix :meander.matrix.delta/matrix)
:ret (s/map-of :meander.syntax.delta.node/tag
:meander.matrix.delta/matrix))
(defn specialize-by
"Split matrix into submatrices by the return result of applying f to
the first column of each row in matrix."
[f matrix]
(if (empty? matrix)
{}
(let [matrix (vec matrix)
grouped (group-by (comp f first :cols) matrix)]
(into
(sorted-map-by
(fn [k1 k2]
(compare
(apply min ##Inf
(map (fn [v]
(.indexOf matrix v))
(get grouped k1)))
(apply min ##Inf
(map (fn [v]
(.indexOf matrix v))
(get grouped k2))))))
grouped))))
;; ---------------------------------------------------------------------
;; Environment
(s/fdef get-env
:args (s/cat :row :meander.matrix.delta/row)
:ret :meander.matrix.delta.row/env)
(defn get-env
[row]
(or (:env row) #{}))
(s/fdef add-var
:args (s/cat :row :meander.matrix.delta/row
:var (s/or :meander.syntax.delta.node/lvr
:meander.syntax.delta.node/mvr))
:ret :meander.matrix.delta/row)
(defn add-var
"Add var to the environment in row."
[row var]
(update row :env (fnil conj #{}) var))
(s/fdef add-vars
:args (s/cat :row :meander.matrix.delta/row
:vars (s/coll-of (s/or :meander.syntax.delta.node/lvr
:meander.syntax.delta.node/mvr)
:kind sequential?
:into #{}))
:ret :meander.matrix.delta/row)
(defn add-vars
"Add vars to the environment in row."
[row vars]
(update row :env (fnil into #{}) vars))
(s/fdef get-var
:args (s/cat :row :meander.matrix.delta/row
:var (s/or :meander.syntax.delta.node/lvr
:meander.syntax.delta.node/mvr))
:ret (s/nilable
(s/or :meander.syntax.delta.node/lvr
:meander.syntax.delta.node/mvr)))
(defn get-var
"Get var from the environment in row."
[row var]
(get (:env row) var))
;; TODO: Make mvrs it's own part of the map.
(defn bound-mvrs
"Return the set of currently bound memory variables in row."
[row]
(into #{} (filter r.syntax/mvr-node?) (:env row)))
;; TODO: Make lvrs it's own part of the map.
(defn bound-lvrs
"Return the set of currently bound logic variables in row."
[row]
(into #{} (filter r.syntax/lvr-node?) (:env row)))
(defn unbound-mvrs
"Return the set of unbound memory variables in node with respect to
row."
[row node]
(set/difference
(r.syntax/memory-variables (r.syntax/substitute-refs node (:refs row)))
(bound-mvrs row)))