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Determinant and permanent: Difference between revisions

m
Ol updated with "permanent"
(added Ol)
m (Ol updated with "permanent")
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j))
 
; superfunction for determinant and permanent
; det calculator
(define (detsuper matrix math)
(let loop ((n (length matrix)) (matrix matrix))
(if (eq? n 1)
(caar matrix)
(fold (lambda (x a j)
(+ x (* a (lref '(-1 1)math (mod j 2)) (detsuper (rest matrix j 1) math))))
0
(car matrix)
(iota n 1)))))
 
 
; det/per calculators
(define (det matrix) (super matrix '(-1 1)))
(define (per matrix) (super matrix '( 1 1)))
 
; ---=( testing )=---------------------
(print (det '(
(1 2)
(3 4))))
; ==> -2
 
(print (per '(
(1 2)
(3 4))))
; ==> 10
 
 
(print (det '(
Line 1,439 ⟶ 1,450:
(-1 -1 -1 2)
( 1 3 1 1)
(-2 -2 0 -1))))
; ==> 26
 
(print (per '(
( 1 2 3 1)
(-1 -1 -1 2)
( 1 3 1 1)
(-2 -2 0 -1))))
; ==> -10
 
 
(print (det '(
Line 1,447 ⟶ 1,466:
(10 11 12 13 14)
(15 16 17 18 19)
(20 21 22 23 24))))
; ==> 0
 
(print (per '(
( 0 1 2 3 4)
( 5 6 7 8 9)
(10 11 12 13 14)
(15 16 17 18 19)
(20 21 22 23 24))))
; ==> 6778800
</lang>
 
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