96 lines
5.9 KiB
Plaintext
96 lines
5.9 KiB
Plaintext
#!/usr/bin/env newlisp
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(define cont list)
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(define cont? list?)
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;(define cont (lambda (l) (array (length l) l)))
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;(define cont? array?)
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(define (evaluate_case access c) (cond
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((and (list? c) (= 2 (length c)) (= 'unquote (c 0))) (list (list = access (c 1)) (lambda (b) b)))
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((symbol? c) (list true (expand (lambda (b) (list let (list 'c 'access) b)) 'c 'access)))
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((list? c) (letn (
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tests (list and (list list? access) (list = (length c) (list length access)))
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tests__body_func (local (recurse) (setq recurse (lambda (tests body_func i) (if (= i (length c))
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(list tests body_func)
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(letn ( inner_test__inner_body_func (evaluate_case (list access i) (c i))
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inner_test (inner_test__inner_body_func 0)
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inner_body_func (inner_test__inner_body_func 1)
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)
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(recurse (append tests (list inner_test))
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(expand (lambda (b) (body_func (inner_body_func b))) 'body_func 'inner_body_func)
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(+ i 1))))))
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(recurse tests (lambda (b) b) 0))
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) tests__body_func))
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(true (list (list = access c) (lambda (b) b)))
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))
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(define (my-match-helper x_sym cases i) (cond ((< i (- (length cases) 1)) (let (test__body_func (evaluate_case x_sym (cases i)))
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(append (list (list (test__body_func 0) ((test__body_func 1) (cases (+ i 1))))) (my-match-helper x_sym cases (+ i 2)))))
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(true '((true ("none matched"))))))
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(define-macro (my-match x) (eval (list let (list '__MATCH_SYM x) (cons cond (my-match-helper '__MATCH_SYM (args) 0)))))
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(define (addD nI mI) (my-match (list nI mI)
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(('VL n x) ('VL m y)) (list 'VL (+ n m) x)
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(('VL 0 x) f) f
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(f ('VL 0 y)) f
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(f ('VL n y)) (addD (list 'VL n y) f)
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(('VL n x) ('A ('VL m y) f)) (addD (list 'VL (+ n m) y) f)
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(f ('A ('VL m y) g)) (addD (list 'VL m y) (addD f g))
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(('A f g) h) (addD f (addD g h))
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(f g) (list 'A f g)))
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(define (mulD nI mI) (my-match (list nI mI)
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(('VL n x) ('VL m y)) (list 'VL (* n m) x)
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(('VL 0 x) f) (list 'VL 0 x)
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(f ('VL 0 y)) (list 'VL 0 y)
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(('VL 1 x) f) f
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(f ('VL 1 y)) f
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(f ('VL n y)) (mulD (list 'VL n y) f)
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(('VL n x) ('M ('VL m y) f)) (mulD (list 'VL (* n m) y) f)
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(f ('M ('VL m y) g)) (mulD (list 'VL m y) (mulD f g))
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(('M f g) h) (mulD f (mulD g h))
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(f g) (list 'M f g)))
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(define (powD nI mI) (my-match (list nI mI)
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(('VL n x) ('VL m y)) (list 'VL (pow n m) x)
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(f ('VL 0 y)) (list 'VL 1 y)
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(f ('VL 1 y)) f
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(('VL 0 y) f) (list 'VL 1 y)
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(f g) (list 'P f g)))
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(define (lnD nI) (my-match nI
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('VL 1 x) (list 'VL 0 x)
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f (list 'L f 0)))
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(define (derv x e) (my-match e
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('VL a b) (list 'VL 0 b)
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('VR y b) (cond ((= x y) (list 'VL 1 b))
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(true (list 'VL 0 b)))
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('A f g) (addD (derv x f) (derv x g))
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('M f g) (addD (mulD f (derv x g)) (mulD g (derv x f)))
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('P f g) (mulD (powD f g) (addD (mulD (mulD g (derv x f)) (powD f (list 'VL -1 0))) (mulD (lnD f) (derv x g))))
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('L f) (mulD (derv x f) (powD f (list 'VL -1 0)))
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))
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(define (countD nI) (my-match nI
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('VL a x) 1
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('VR b x) 1
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('A f g) (+ (countD f) (countD g))
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('M f g) (+ (countD f) (countD g))
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('P f g) (+ (countD f) (countD g))
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('L f g) (countD f)))
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(define (nest-aux s f n x) (cond ((= n 0) x)
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(true (nest-aux s f (- n 1) (f (- s n) x)))))
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(define (nest f n e) (nest-aux n f n e))
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(define (deriv i f) (letn (d (derv "x" f)
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y (println (+ i 1) " countL: " (countD d))
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)d))
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(println (nest deriv (integer (main-args 2)) (powD (list 'VR "x" 0) (list 'VR "x" 0))))
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(exit)
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