To calculate the Triangular Numbers in LISP.
N = 1+2+3+...+N
T(n) = 1 if n=1
T(n) = n + T(n-1) if n>1
T(n) = 0 if n<=0
USING IF
(defun triangle(N)
(if (= N 1) 1 (+ N (triangle(- N 1))))
)
IF is not good for more than one condition
USING COND
(defun tri-cond(number)
(cond ((<= number 0) 0)
((= number 1) 1)
((> number 1) (+ number (tri-cond(- number 1))))
)
)
USING COND WITHOUT A LAST CONDITION
(defun tri-cond(number)
(cond ((<= number 0) 0)
((= number 1) 1)
((+ number (tri-cond(- number 1))))
)
)
N = 1+2+3+...+N
T(n) = 1 if n=1
T(n) = n + T(n-1) if n>1
T(n) = 0 if n<=0
USING IF
(defun triangle(N)
(if (= N 1) 1 (+ N (triangle(- N 1))))
)
IF is not good for more than one condition
USING COND
(defun tri-cond(number)
(cond ((<= number 0) 0)
((= number 1) 1)
((> number 1) (+ number (tri-cond(- number 1))))
)
)
USING COND WITHOUT A LAST CONDITION
(defun tri-cond(number)
(cond ((<= number 0) 0)
((= number 1) 1)
((+ number (tri-cond(- number 1))))
)
)
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