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-rw-r--r--src/main.lisp60
1 files changed, 0 insertions, 60 deletions
diff --git a/src/main.lisp b/src/main.lisp
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-(load "lizfcm.asd")
-(ql:quickload :lizfcm)
-
-;; this is a collection showcasing the library developed for math4610, required
-;; from the Shared Library definition
-
-(defun smaceps ()
- (cadar (last (lizfcm.approx:compute-maceps
- (lambda (x) x) 1.0 1.0))))
-
-(defun dmaceps ()
- (cadar (last (lizfcm.approx:compute-maceps
- (lambda (x) x) 1.0d0 1.0d0))))
-
-(defun l2-norm (v)
- (let ((2-norm (lizfcm.vector:p-norm 2)))
- (funcall 2-norm v)))
-
-(defun l1-norm (v)
- (let ((1-norm (lizfcm.vector:p-norm 1)))
- (funcall 1-norm v)))
-
-(defun linf-norm (v)
- (lizfcm.vector:max-norm v))
-
-(defun l2-distance (v1 v2)
- (let ((2-norm (lizfcm.vector:p-norm 2)))
- (lizfcm.vector:distance v1 v2 2-norm)))
-
-(defun l1-distance (v1 v2)
- (let ((1-norm (lizfcm.vector:p-norm 1)))
- (lizfcm.vector:distance v1 v2 1-norm)))
-
-(defun linf-distance (v1 v2)
- (lizfcm.vector:distance v1 v2 'lizfcm.vector:max-norm))
-
-(defun f (x)
- (/ (- x 1) (+ x 1)))
-
-(defun fprime (x)
- (/ 2 (expt (+ x 1) 2)))
-
-(defmacro showcase (s-expr)
- `(format t "~a = ~a~%" ,(format nil "~a" s-expr) ,s-expr))
-
-(defun main ()
- (showcase (smaceps))
- (showcase (dmaceps))
- (showcase (l2-norm '(1 2)))
- (showcase (l1-norm '(1 2)))
- (showcase (linf-norm '(1 2)))
- (showcase (l1-distance '(1 2) '(-3 4)))
- (showcase (l2-distance '(1 2) '(-3 4)))
- (showcase (linf-distance '(1 2) '(-3 4)))
- (showcase (lizfcm.vector:least-squares-reg '(1 2 3 4 5 6 7)
- '(0.5 3 2 3.5 5 6 7.5)))
- (showcase (lizfcm.approx:forward-derivative-at 'f 1 0.00001))
- (showcase (lizfcm.approx:central-derivative-at 'f 1 0.00001))
- (showcase (lizfcm.approx:backward-derivative-at 'f 1 0.00001)))
-