qse/ase/cmd/awk/lisp/numbers

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2008-01-01 07:02:50 +00:00
; Numeric procedures
; Uses: startup
(define > (lambda (n1 n2) (< n2 n1)))
(define <= (lambda (n1 n2) (not (< n2 n1))))
(define >= (lambda (n1 n2) (not (< n1 n2))))
(define abs
(lambda (n)
(if (< n 0) (- 0 n) n)))
(define minus (lambda (n) (- 0 n)))
(define even? (lambda (n) (= (remainder n 2) 0)))
(define odd? (lambda (n) (not (even? n))))
(define zero? (lambda (n) (= n 0)))
(define 1+ (lambda (n) (+ n 1)))
(define -1+ (lambda (n) (- n 1)))
(define min (lambda (n1 n2) (if (< n1 n2) n1 n2)))
(define max (lambda (n1 n2) (if (< n1 n2) n2 n1)))
(define expt ; Pre: 0 <= power
(lambda (base power)
(if (= power 0)
1
(if (even? power)
(square (expt base (quotient power 2)))
(* base (expt base (- power 1)))))))
(define square (lambda (n) (* n n)))