From 58c73fd511b77cb94124b71a4bb75c7ab6a6d8bc Mon Sep 17 00:00:00 2001
From: Elizabeth Hunt <elizabeth.hunt@simponic.xyz>
Date: Mon, 25 Sep 2023 10:36:23 -0600
Subject: add september notes & hw2 code / pdf

---
 cl/src/vector/distance.lisp |  6 ++++++
 cl/src/vector/norm.lisp     | 17 +++++++++++++++++
 cl/src/vector/package.lisp  |  7 +++++++
 3 files changed, 30 insertions(+)
 create mode 100644 cl/src/vector/distance.lisp
 create mode 100644 cl/src/vector/norm.lisp
 create mode 100644 cl/src/vector/package.lisp

(limited to 'cl/src/vector')

diff --git a/cl/src/vector/distance.lisp b/cl/src/vector/distance.lisp
new file mode 100644
index 0000000..74631ce
--- /dev/null
+++ b/cl/src/vector/distance.lisp
@@ -0,0 +1,6 @@
+(in-package :lizfcm.vector)
+
+(defun distance (v1 v2 norm)
+  (let* ((d (mapcar #'- v1 v2))
+         (length (funcall norm d)))
+    length))
diff --git a/cl/src/vector/norm.lisp b/cl/src/vector/norm.lisp
new file mode 100644
index 0000000..2158296
--- /dev/null
+++ b/cl/src/vector/norm.lisp
@@ -0,0 +1,17 @@
+(in-package :lizfcm.vector)
+
+(defun p-norm (p)
+  (lambda (v)
+    (expt
+      (reduce (lambda (acc x)
+                (+ acc x))
+              (mapcar (lambda (x)
+                        (abs
+                          (expt x p)))
+                      v))
+      (/ 1 p))))
+
+(defun max-norm (v)
+  (reduce (lambda (acc x)
+            (max acc x))
+          v))
diff --git a/cl/src/vector/package.lisp b/cl/src/vector/package.lisp
new file mode 100644
index 0000000..009b190
--- /dev/null
+++ b/cl/src/vector/package.lisp
@@ -0,0 +1,7 @@
+(in-package :cl-user)
+(defpackage lizfcm.vector
+  (:use :cl)
+  (:export
+    :p-norm
+    :max-norm
+    :distance))
-- 
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