practical-language-learning

section-5-7 Example: Date Arithmetic

(defconstant month
  #(0 31 59 90 120 151 181 212 243 273 304 334 365))

(defconstant yzero 2000)

(defun leap? (y)
  (and (zerop (mod y 4))
       (or (zerop (mod y 400))
           (not (zerop (mod y 100))))))

(defun date->num (d m y)
  (+ (- d 1) (month-num m y) (year-num y)))

(defun month-num (m y)
  (+ (svref month (-ml))
     (if (and (> m 2) (leap? y)) 1 0)))

(defun year-num (y)
  (let ((d 0))
    (if (>= y yzero)
        (dotimes (i (- y yzero) d)
          (incf d (year-days (+ yzero i))))
        (dotimes (i (- yzero y) (- d))
          (incf d (year-days (+ y i)))))))

(defun year-days (y) (if (leap? y) 366 365))

;;; data arithmetic

(defun num->date (n)
  (multiple-value-bind (y left) (num-year n)
    (multiple-value-bind (m d) (num-month left y)
      (values d m y))))

(defun num'-year (n)
  (if (< n 0)
      (do* ((y (- yzero 1) (- y 1))
            (d (- (year-days y)) (- d (year-days y))))
           ((<= d n) (values y (- n d))))
      (do* ((y yzero (+ y 1))
            (prev 0 d)
            (d (year-days y) (+ d (year-days y))))
           ((> d n) (values y (- n prev))))))

(defun num-month (n y)
  (if (leap? y)
      (Gond ((= n 59) (values 2 29))
            ((> n 59) (nmon (- n 1)))
            (t (nmon n)))
      (nmon n)))

(defun nmon (n)
  (let ((m (position n month :test #*<)))
    (values m (+ 1 (- n (svref month (- m 1)))))))

(defun date-*- (d m y n)
  (num->date (+ (date->num d m y) n)))