450 lines
16 KiB
Common Lisp
450 lines
16 KiB
Common Lisp
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(in-package :kenzo-test)
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(in-suite :kenzo)
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(test cs-hat-u-t
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(cat:cat-init)
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(let* ((c (cat:cs-hat-u-t (cat:k-z-1)))
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(abar (random-abar 8 4))
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(abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(gnrt (cat:tnpr 5 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3) 0 '())
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2 '(4 5))
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abar-degr abar)))
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(cat:? c (+ 5 abar-degr) gnrt)
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 5 abar-degr) gnrt))))
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 5 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3)
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0 '()) 2 '(4 5))
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abar-degr abar))
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(unless (>= abar-degr 10)
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(print (cat:? c (+ 5 abar-degr) gnrt))
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 5 abar-degr)
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gnrt)))))))
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 6 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3)
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0 '()) 3 '(4 5 6))
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abar-degr abar))
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(unless (>= abar-degr 9)
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(print (cat:? c (+ 6 abar-degr) gnrt))
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 6 abar-degr)
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gnrt)))))))
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 5 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
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3 '(4 5 6)) abar-degr abar))
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(unless (>= abar-degr 10)
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(print (cat:? c (+ 5 abar-degr) gnrt))
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 5 abar-degr)
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gnrt)))))))
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 4 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
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2 '(4 5))
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abar-degr abar))
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(unless (>= abar-degr 11)
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(print (cat:? c (+ 4 abar-degr) gnrt))
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 4 abar-degr)
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gnrt)))))))))
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(test cs-hat-t-u
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(cat:cat-init)
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(dotimes (i 5) (print (random-abar 8 4)))
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(let* ((c (cat:cs-hat-t-u (cat:k-z-1)))
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(abar (random-abar 8 4))
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(abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(gnrt (cat:tnpr 5 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3) 0 '())
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2 '(4 5))
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abar-degr abar)))
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(cat:? c (+ 5 abar-degr) gnrt)
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 5 abar-degr) gnrt))))
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 5 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3)
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0 '()) 2 '(4 5))
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abar-degr abar))
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(unless (>= abar-degr 10)
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(print (cat:? c (+ 5 abar-degr) gnrt))
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 5 abar-degr)
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gnrt)))))))
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 6 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3)
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0 '()) 3 '(4 5 6))
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abar-degr abar))
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(unless (>= abar-degr 9)
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(print (cat:? c (+ 6 abar-degr) gnrt))
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 6 abar-degr)
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gnrt)))))))
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 5 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
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3 '(4 5 6))
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abar-degr abar))
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(unless (>= abar-degr 10)
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(print (cat:? c (+ 5 abar-degr) gnrt))
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 5 abar-degr)
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gnrt)))))))
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 4 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
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2 '(4 5))
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abar-degr abar))
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(unless (>= abar-degr 11)
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(print (cat:? c (+ 4 abar-degr) gnrt))
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 4 abar-degr)
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gnrt)))))))))
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(test cs-left-hmeq-hat
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(cat:cat-init)
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(let ((c (cat:cs-left-hmeq-hat (cat:k-z-1)))
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abar-degr
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gnrt)
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 5 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3)
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0 '()) 2 '(4 5))
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abar-degr abar))
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(unless (>= abar-degr 10)
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(print (cat:? c (+ 5 abar-degr) gnrt))
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 5 abar-degr)
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gnrt)))))))
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 6 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3)
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0 '()) 3 '(4 5 6))
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abar-degr abar))
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(unless (>= abar-degr 9)
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(print (cat:? c (+ 6 abar-degr) gnrt))
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 6 abar-degr)
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gnrt)))))))
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 5 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
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3 '(4 5 6))
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abar-degr abar))
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(unless (>= abar-degr 10)
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(print (cat:? c (+ 5 abar-degr) gnrt))
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 5 abar-degr)
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gnrt)))))))
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 4 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
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2 '(4 5))
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abar-degr abar))
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(unless (>= abar-degr 11)
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(print (cat:? c (+ 4 abar-degr) gnrt))
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(is (cat:cmbn-zero-p (cat:? c (cat:? c (+ 4 abar-degr)
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gnrt)))))))))
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(test cs-pre-left-hmeq-left-reduction-intr-f
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(cat:cs-pre-left-hmeq-left-reduction-intr-f
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(cat:cmbn 6 100 (cat:tnpr 4 (cat:tnpr 2 'a 2 'b) 2 'c)
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10 (cat:tnpr 6 (cat:tnpr 2 'a 4 'b) 0 'c)
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50 (cat:tnpr 6 (cat:tnpr 6 'a 0 'b) 0 'c)
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1 (cat:tnpr 6 (cat:tnpr 6 'aa 0 'b) 0 'c))))
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(test cs-pre-left-hmeq-left-reduction-intr-g
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(let ((g (cat:cs-pre-left-hmeq-left-reduction-intr-g '())))
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(funcall g (cat:cmbn 3 14 (cat:gbar 3 0 'a 1 'b 0 '())))))
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(test cs-pre-left-hmeq-left-reduction
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(cat:cat-init)
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(let ((rdct (cat:cs-pre-left-hmeq-left-reduction (cat:k-z-1)))
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abar-degr
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gnrt
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gbar)
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(cat:pre-check-rdct rdct)
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(setf cat:*tc* (cat:cmbn 0 1
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(cat:tnpr 0 (cat:tnpr 0
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cat:+null-gbar+ 0 '())
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0 cat:+null-abar+))
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cat:*bc* (cat:cmbn 0 1 cat:+null-gbar+))
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(check-rdct)
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(setf cat:*tc* (cat:cmbn 1 1
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(cat:tnpr 1 (cat:tnpr 0
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cat:+null-gbar+ 1 '(13))
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0 cat:+null-abar+)))
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(check-rdct)
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 5 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3)
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0 '()) 2 '(4 5))
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abar-degr abar))
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(setf gbar (cat:gbar 2 0 '(1) 0 '()))
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(unless (>= abar-degr 9)
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(setf cat:*tc* (cat:cmbn (+ 5 abar-degr) 1 gnrt)
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cat:*bc* (cat:cmbn 2 1 gbar))
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(check-rdct))))
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(dotimes (i 10)
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(let ((abar (random-abar 6 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 6 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3)
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0 '()) 3 '(4 5 6))
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abar-degr abar))
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(setf gbar (cat:gbar 3 0 '(1 2) 1 '() 0 '()))
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(unless (>= abar-degr 8)
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(setf cat:*tc* (cat:cmbn (+ 6 abar-degr) 1 gnrt)
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cat:*bc* (cat:cmbn 3 1 gbar))
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(check-rdct))))
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(dotimes (i 10)
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(let ((abar (random-abar 6 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 5 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
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3 '(4 5 6))
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abar-degr abar))
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(setf gbar (cat:gbar 4 0 '(1 2 3) 0 '(4 5) 0 '(6) 0 '()))
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(unless (>= abar-degr 9)
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(setf cat:*tc* (cat:cmbn (+ 5 abar-degr) 1 gnrt))
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(setf cat:*bc* (cat:cmbn 4 1 gbar))
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(check-rdct))))
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(dotimes (i 10)
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(let ((abar (random-abar 6 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 4 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
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2 '(4 5))
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abar-degr abar))
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(setf gbar (cat:gbar 5 8 '(1 2 3) 0 '(4 5 6) 0 '(7 8) 0 '(9)
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0 '()))
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(unless (>= abar-degr 10)
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(setf cat:*tc* (cat:cmbn (+ 4 abar-degr) 1 gnrt))
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(setf cat:*bc* (cat:cmbn 5 1 gbar))
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(check-rdct))))))
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(test cs-left-hmeq-left-reduction
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(cat:cat-init)
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(let ((rdct (cat:cs-left-hmeq-left-reduction (cat:k-z-1)))
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abar-degr gnrt gbar)
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(cat:pre-check-rdct rdct)
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(setf cat:*tc* (cat:cmbn 0 1 (cat:tnpr 0
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(cat:tnpr 0 cat:+null-gbar+
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0 '()) 0
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cat:+null-abar+))
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cat:*bc* (cat:cmbn 0 1 cat:+null-gbar+))
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(check-rdct)
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(setf cat:*tc* (cat:cmbn 1 1 (cat:tnpr 1
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(cat:tnpr 0 cat:+null-gbar+
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1 '(13)) 0
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cat:+null-abar+)))
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(check-rdct)
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 5 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3)
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0 '()) 2 '(4 5))
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abar-degr abar))
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(setf gbar (cat:gbar 2 0 '(1) 0 '()))
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(unless (>= abar-degr 9)
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(setf cat:*tc* (cat:cmbn (+ 5 abar-degr) 1 gnrt)
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cat:*bc* (cat:cmbn 2 1 gbar))
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(check-rdct))))
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(dotimes (i 10)
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(let ((abar (random-abar 6 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 6 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3)
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0 '()) 3 '(4 5 6))
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abar-degr abar))
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(setf gbar (cat:gbar 3 0 '(1 2) 1 '() 0 '()))
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(unless (>= abar-degr 8)
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(setf cat:*tc* (cat:cmbn (+ 6 abar-degr) 1 gnrt)
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cat:*bc* (cat:cmbn 3 1 gbar))
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(check-rdct))))
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(dotimes (i 10)
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(let ((abar (random-abar 6 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 5 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
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3 '(4 5 6))
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abar-degr abar))
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(setf gbar (cat:gbar 4 0 '(1 2 3) 0 '(4 5) 0 '(6) 0 '()))
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(unless (>= abar-degr 9)
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(setf cat:*tc* (cat:cmbn (+ 5 abar-degr) 1 gnrt))
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(setf cat:*bc* (cat:cmbn 4 1 gbar))
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(check-rdct))))
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(dotimes (i 10)
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(let ((abar (random-abar 6 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 4 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
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2 '(4 5))
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abar-degr abar))
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(setf gbar (cat:gbar 5 8 '(1 2 3) 0 '(4 5 6) 0 '(7 8) 0 '(9)
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0 '()))
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(unless (>= abar-degr 10)
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(setf cat:*tc* (cat:cmbn (+ 4 abar-degr) 1 gnrt))
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(setf cat:*bc* (cat:cmbn 5 1 gbar))
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(check-rdct))))))
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(test cs-pre-left-hmeq-right-reduction-intr-f
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(cat:cs-pre-left-hmeq-right-reduction-intr-f
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(cat:cmbn 4 2 (cat:tnpr 0 (cat:tnpr 0 cat:+null-gbar+ 0 'i)
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4 (cat:abar 2 'a 2 'b))
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3 (cat:tnpr 0 (cat:tnpr 0 cat:+null-gbar+ 0 'i)
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4 (cat:abar 2 'a 2 'c))
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5 (cat:tnpr 1 (cat:tnpr 0 cat:+null-gbar+ 1 'a)
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3 (cat:abar 1 'a 2 'b)))))
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(test cs-pre-left-hmeq-right-reduction-g
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(let ((g (cat:cs-pre-left-hmeq-right-reduction-intr-g 'i)))
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(funcall g (cat:cmbn 3 2 (cat:abar 1 'a 2 'b)))))
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(test cs-pre-left-hmeq-right-reduction
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(cat:cat-init)
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(let ((rdct (cat:cs-pre-left-hmeq-right-reduction (cat:k-z-1)))
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abar-degr
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gnrt)
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(cat:pre-check-rdct rdct)
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(setf cat:*tc* (cat:cmbn 0 1 (cat:tnpr 0
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(cat:tnpr 0 cat:+null-gbar+
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0 '())
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0 cat:+null-abar+))
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cat:*bc* (cat:cmbn 0 1 cat:+null-abar+))
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(check-rdct)
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(setf cat:*tc* (cat:cmbn 1 1 (cat:tnpr 1
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(cat:tnpr 0 cat:+null-gbar+
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1 '(13))
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0 cat:+null-abar+)))
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(check-rdct)
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(dotimes (i 10)
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(let ((abar (random-abar 8 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 5 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3)
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0 '()) 2 '(4 5))
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abar-degr abar))
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(unless (>= abar-degr 9)
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(setf cat:*tc* (cat:cmbn (+ 5 abar-degr) 1 gnrt)
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cat:*bc* (cat:cmbn abar-degr 1 abar))
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(check-rdct))))
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(dotimes (i 10)
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(let ((abar (random-abar 6 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 6 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 0 '(3)
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0 '()) 3 '(4 5 6))
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abar-degr abar))
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(unless (>= abar-degr 8)
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(setf cat:*tc* (cat:cmbn (+ 6 abar-degr) 1 gnrt)
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cat:*bc* (cat:cmbn abar-degr 1 abar))
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(check-rdct))))
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(dotimes (i 10)
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(let ((abar (random-abar 6 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 5 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
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3 '(4 5 6))
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abar-degr abar))
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(unless (>= abar-degr 9)
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(setf cat:*tc* (cat:cmbn (+ 5 abar-degr) 1 gnrt))
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(setf cat:*bc* (cat:cmbn abar-degr 1 abar))
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(check-rdct))))
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(dotimes (i 10)
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(let ((abar (random-abar 6 4)))
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(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
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(setf gnrt (cat:tnpr 4 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
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|
2 '(4 5))
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|
abar-degr abar))
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|
(unless (>= abar-degr 10)
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|
(setf cat:*tc* (cat:cmbn (+ 4 abar-degr) 1 gnrt))
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|
(setf cat:*bc* (cat:cmbn abar-degr 1 abar))
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|
(check-rdct))))))
|
|
|
|
|
|
(test cs-left-hmeq-right-reduction
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|
(cat:cat-init)
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|
(let ((rdct (cat:cs-left-hmeq-right-reduction (cat:k-z-1)))
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|
abar-degr
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|
gnrt)
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|
(cat:pre-check-rdct rdct)
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|
(setf cat:*tc* (cat:cmbn 0 1
|
|
(cat:tnpr 0 (cat:tnpr 0 cat:+null-gbar+
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|
0 '())
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|
0 cat:+null-abar+))
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|
cat:*bc* (cat:cmbn 0 1 cat:+null-abar+))
|
|
(check-rdct)
|
|
(setf cat:*tc* (cat:cmbn 1 1
|
|
(cat:tnpr 1 (cat:tnpr 0 cat:+null-gbar+
|
|
1 '(13))
|
|
0 cat:+null-abar+)))
|
|
(check-rdct)
|
|
(dotimes (i 10)
|
|
(let ((abar (random-abar 4 2)))
|
|
(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
|
|
(setf gnrt (cat:tnpr 3 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
|
|
1 '(4))
|
|
abar-degr abar))
|
|
(unless (>= abar-degr 9)
|
|
(setf cat:*tc* (cat:cmbn (+ 3 abar-degr) 1 gnrt)
|
|
cat:*bc* (cat:cmbn abar-degr 1 abar))
|
|
(check-rdct))))
|
|
(dotimes (i 10)
|
|
(let ((abar (random-abar 3 1)))
|
|
(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
|
|
(setf gnrt (cat:tnpr 4 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
|
|
2 '(5 6))
|
|
abar-degr abar))
|
|
(unless (>= abar-degr 8)
|
|
(setf cat:*tc* (cat:cmbn (+ 4 abar-degr) 1 gnrt)
|
|
cat:*bc* (cat:cmbn abar-degr 1 abar))
|
|
(check-rdct))))
|
|
(dotimes (i 10)
|
|
(let ((abar (random-abar 3 1)))
|
|
(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
|
|
(setf gnrt (cat:tnpr 5 (cat:tnpr 3 (cat:gbar 3 0 '(1 2) 1 '()
|
|
0 '()) 2 '(5 6))
|
|
abar-degr abar))
|
|
(unless (>= abar-degr 9)
|
|
(setf cat:*tc* (cat:cmbn (+ 5 abar-degr) 1 gnrt))
|
|
(setf cat:*bc* (cat:cmbn abar-degr 1 abar))
|
|
(check-rdct))))
|
|
(dotimes (i 10)
|
|
(let ((abar (random-abar 6 4)))
|
|
(setf abar-degr (apply #'+ (mapcar #'car (cat:abar-list abar))))
|
|
(setf gnrt (cat:tnpr 4 (cat:tnpr 2 (cat:gbar 2 0 '(3) 0 '())
|
|
2 '(4 5))
|
|
abar-degr abar))
|
|
(unless (>= abar-degr 10)
|
|
(setf cat:*tc* (cat:cmbn (+ 4 abar-degr) 1 gnrt))
|
|
(setf cat:*bc* (cat:cmbn abar-degr 1 abar))
|
|
(check-rdct))))))
|
|
|
|
|
|
(test cs-left-hmeq
|
|
(cat:cat-init)
|
|
(let* ((h (cat:cs-left-hmeq (cat:k-z-1)))
|
|
(abar (cat:abar 2 '(2) 3 '(3 4))))
|
|
(cat:rf h
|
|
(cat:lg h
|
|
(cat:lf h
|
|
(cat:rg h 5 abar))))))
|
|
|
|
|
|
(test classifying-space
|
|
(cat:cat-init)
|
|
(let* ((k (cat:k-z-1))
|
|
(bk (cat:classifying-space k))
|
|
(obk (cat:loop-space bk)))
|
|
(cat:homology k 0 10)
|
|
(cat:homology bk 0 10)
|
|
(cat:homology obk 0 6)))
|