Clean project

4 files changed, 193 insertions, 0 deletions

diff --git a/src/union-find/quick-find.lisp b/src/union-find/quick-find.lisp
new file mode 100644
index 0000000..edaa7f0
--- /dev/null
+++ b/src/union-find/quick-find.lisp
@@ -0,0 +1,37 @@
+;;;; Quick Find Algorithm
+;;;; This algorithm solve dynamic connectivity
+;;;; problem by providing a way to find if there
+;;;; is a path between two nodes in a dynamic graph
+
+
+;;; Base functions
+
+(defun create-network (n)
+  "Build a quick-find network using a dynamic vector"
+  (let ((nodes (make-array n :fill-pointer 0)))
+    (dotimes (id n)
+      (vector-push id nodes))
+    nodes))
+
+;; Link two nodes in the network
+(defun union_ (network n1 n2)
+  "Link two nodes in the quick-find network. union_ represent the union operation of the Quick Find Algorithm"
+  (let ((v-n1 (elt network n1))
+        (v-n2 (elt network n2))
+        (new-network (copy-seq network)))
+    (dotimes (n (length new-network))
+      (if (= (elt new-network n) v-n2) (setf (elt new-network n) v-n1)))
+    new-network))
+
+;;; Macro definitions
+
+(defmacro connected (network n1 n2)
+  " Return t if there is a path between n1 and n2, nil otherwise. connected represent the find operation of the Quick Find Algorithm"
+    `(= (elt ,network ,n1) (elt ,network ,n2)))
+
+(defmacro nunion_ (network n1 n2)
+  "A destructive version of union_"
+  `(setq ,network (union_ ,network ,n1 ,n2)))
+
+
+
diff --git a/src/union-find/quick-union.lisp b/src/union-find/quick-union.lisp
new file mode 100644
index 0000000..bf2ff3d
--- /dev/null
+++ b/src/union-find/quick-union.lisp
@@ -0,0 +1,42 @@
+;;;; Quick Union Algorithm
+;;;; This algorithm solve dynamic connectivity
+;;;; problem by providing a way to find if there
+;;;; is a path between two nodes in a dynamic graph.
+;;;; It is an improved version of the Quick Find algorithm
+;;;; It optimize the union function
+
+
+;;; Base functions
+
+(defun create-network (n)
+  "Build a quick-find network using a dynamic vector"
+  (let ((nodes (make-array n :fill-pointer 0)))
+    (dotimes (id n)
+      (vector-push id nodes))
+    nodes))
+
+(defun find-root (network node)
+  "Find the root of a sub-tree in the network."
+  (do ((id node value)
+       (value (elt network node) (elt network value)))
+      ((= id value) id)))
+
+(defun union_ (network n1 n2)
+  "Connect to sub-tree together. union represent the union operation on the Quick Union algorithm"
+  (let ((new-network (copy-seq network)))
+    (setf (elt new-network (find-root new-network n1))
+          (find-root new-network n2))
+    new-network))
+
+
+;;; Macro definitions
+
+(defmacro connected (network n1 n2)
+  "Return true if n1 and n2 are connected and nil otherwise. connection represent
+the find operation on the Quick Union algorithm"
+  `(= (find-root ,network ,n1) (find-root ,network ,n2)))
+
+(defmacro nunion_ (network n1 n2)
+  "A destructive version of union_"
+  `(setf ,network (union_ ,network ,n1 ,n2)))
+
diff --git a/src/union-find/weighted-quick-union-path-compression.lisp b/src/union-find/weighted-quick-union-path-compression.lisp
new file mode 100644
index 0000000..56c80b7
--- /dev/null
+++ b/src/union-find/weighted-quick-union-path-compression.lisp
@@ -0,0 +1,59 @@
+;;;; Weighted Quick Union Algorithm With Path Compression
+;;;; This algorithm solve dynamic connectivity
+;;;; problem by providing a way to find if there
+;;;; is a path between two nodes in a dynamic graph.
+;;;; It is an improved version of the Quick Union algorithm
+;;;; by improving the way that the union-tree is constructed
+;;;; The algorithm try to reduce the deepness of the tree in
+;;;; order to optimize the find-root function
+;;;; The path compression is ensure by the find-root function
+;;;; IMPORTANT: find-root is now a destructive function ! Be aware...
+
+;;; Base functions
+
+(defun create-network (n)
+  "Build a quick-find network using a multi-dimensional dynamic vector:\n
+1st dimension = the network\n 2nd dimension = each subtree node quantities"
+  (let ((network (make-array `(2 ,n) :initial-element 1)))
+    (dotimes (id n)
+      (setf (aref network 0 id) id))
+    network))
+
+(defun find-root (network node)
+  "Find the root of a sub-tree in the network. This is a destructive version of find-root that
+include path compression"
+  (do ((id node value)
+       (value (aref network 0 node) (aref network 0 value)))
+      ((= id value) (progn (setf (aref network 0 node) id) ; Path compression
+                           id))))
+
+(defun union_ (network n1 n2)
+  "Connect to sub-tree together. union represent the union operation on the Quick Union algorithm"
+  (let ((new-network (copy-tree network))) ; Duplicate network
+    (let* ((n1-root (find-root new-network n1))
+          (n2-root (find-root new-network n2))
+           (n1-size (aref new-network 1 n1-root))
+           (n2-size (aref new-network 1 n2-root)))
+      (if (>= n1-size n2-size) ; Check which subtree is LARGER (not deeper)
+          (progn (setf (aref new-network 0 n2-root) (aref new-network 0 n1-root)) ; Modify the second node
+                 (setf (aref new-network 1 n1-root) ; Update tree larger
+                       (+ (aref new-network 1 n1-root) (aref new-network 1 n2-root))))
+          (progn (setf (aref new-network 0 n1-root) (aref new-network 0 n2-root)) ; Otherwise modify the first node
+                 (setf (aref new-network 1 n2-root) ; Update tree larger
+                       (+ (aref new-network 1 n2-root) (aref new-network 1 n1-root)))))
+      new-network)))
+
+
+;;; Macro definitions
+
+
+(defmacro connected (network n1 n2)
+  "Return true if n1 and n2 are connected and nil otherwise. connection represent
+the find operation on the Quick Union algorithm"
+  `(= (find-root ,network ,n1) (find-root ,network ,n2)))
+
+(defmacro nunion_ (network n1 n2)
+  "A destructive version of the union function."
+  `(setf ,network (union_ ,network ,n1 ,n2)))
+
+
diff --git a/src/union-find/weighted-quick-union.lisp b/src/union-find/weighted-quick-union.lisp
new file mode 100644
index 0000000..679de80
--- /dev/null
+++ b/src/union-find/weighted-quick-union.lisp
@@ -0,0 +1,55 @@
+;;;; Weighted Quick Union Algorithm
+;;;; This algorithm solve dynamic connectivity
+;;;; problem by providing a way to find if there
+;;;; is a path between two nodes in a dynamic graph.
+;;;; It is an improved version of the Quick Union algorithm
+;;;; by improving the way that the union-tree is constructed
+;;;; The algorithm try to reduce the deepness of the tree in
+;;;; order to optimize the find-root function
+
+;;; Base functions
+
+(defun create-network (n)
+  "Build a quick-find network using a multi-dimensional dynamic vector:\n
+1st dimension = the network\n 2nd dimension = each subtree node quantities"
+  (let ((network (make-array `(2 ,n) :initial-element 1)))
+    (dotimes (id n)
+      (setf (aref network 0 id) id))
+    network))
+
+(defun find-root (network node)
+  "Find the root of a sub-tree in the network."
+  (do ((id node value)
+       (value (aref network 0 node) (aref network 0 value)))
+      ((= id value) id)))
+
+(defun union_ (network n1 n2)
+  "Connect to sub-tree together. union represent the union operation on the Quick Union algorithm"
+  (let ((new-network (copy-tree network))) ; Duplicate network
+    (let* ((n1-root (find-root new-network n1))
+          (n2-root (find-root new-network n2))
+           (n1-size (aref new-network 1 n1-root))
+           (n2-size (aref new-network 1 n2-root)))
+      (if (>= n1-size n2-size) ; Check which subtree is LARGER (not deeper)
+          (progn (setf (aref new-network 0 n2-root) (aref new-network 0 n1-root)) ; Modify the second node
+                 (setf (aref new-network 1 n1-root) ; Update tree larger
+                       (+ (aref new-network 1 n1-root) (aref new-network 1 n2-root))))
+          (progn (setf (aref new-network 0 n1-root) (aref new-network 0 n2-root)) ; Otherwise modify the first node
+                 (setf (aref new-network 1 n2-root) ; Update tree larger
+                       (+ (aref new-network 1 n2-root) (aref new-network 1 n1-root)))))
+      new-network)))
+
+
+;;; Macro definitions
+
+
+(defmacro connected (network n1 n2)
+  "Return true if n1 and n2 are connected and nil otherwise. connection represent
+the find operation on the Quick Union algorithm"
+  `(= (find-root ,network ,n1) (find-root ,network ,n2)))
+
+(defmacro nunion_ (network n1 n2)
+  "A destructive version of the union function."
+  `(setf ,network (union_ ,network ,n1 ,n2)))
+
+