151 lines
4.1 KiB
Common Lisp
151 lines
4.1 KiB
Common Lisp
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(in-package :kenzo-test)
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(in-suite :kenzo)
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(test tnpr
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(cat:tnpr 2 'a 3 'b)
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(setf cat:*tnpr-with-degrees* t)
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(cat:tnpr 2 'a 3 'b)
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(setf cat:*tnpr-with-degrees* nil))
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(test 2cmbn-tnpr
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(setf cat:*tnpr-with-degrees* t)
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(cat:2cmbn-tnpr (cat:cmbn 2 3 'a 4 'b -5 'c)
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(cat:cmbn 3 4 'x -3 'y 2 'z)))
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(test tnsr-prdc-cmpr
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(let ((cmpr (cat:tnsr-prdc-cmpr #'cat:s-cmpr #'cat:s-cmpr)))
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(is (equal :less (funcall cmpr
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(cat:tnpr 2 'a 3 'b)
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(cat:tnpr 3 'a 2 'b))))
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(is (equal :greater (funcall cmpr
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(cat:tnpr 3 'a 2 'b)
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(cat:tnpr 2 'a 3 'b))))
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(is (equal :less (funcall cmpr
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(cat:tnpr 2 'a 3 'b)
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(cat:tnpr 2 'b 3 'b))))
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(is (equal :greater (funcall cmpr
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(cat:tnpr 2 'b 3 'b)
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(cat:tnpr 2 'a 3 'b))))
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(is (equal :less (funcall cmpr
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(cat:tnpr 2 'a 3 'a)
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(cat:tnpr 2 'a 3 'b))))
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(is (equal :greater (funcall cmpr
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(cat:tnpr 2 'a 3 'c)
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(cat:tnpr 2 'a 3 'b))))
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(is (equal :equal (funcall cmpr
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(cat:tnpr 2 'a 3 'b)
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(cat:tnpr 2 'a 3 'b))))))
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(defun bas (degr)
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(case degr
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(0 '(a b c))
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(1 '(d))
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(2 nil)
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(3 '(x y))))
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(test tnsr-prdc-basis
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(let ((bas (cat:tnsr-prdc-basis #'bas #'bas)))
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(dotimes (i 8)
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(print (funcall bas i)))))
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(test tnsr-prdc-intr-dffr
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(cat:cat-init)
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(let* ((chcm (cat:build-chcm :cmpr #'cat:s-cmpr
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:basis :locally-effective
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:intr-dffr #'cat:zero-mrph
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:strt :gnrt :orgn '(test-1)))
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(dffr (cat:build-mrph
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:sorc chcm :trgt chcm :degr -1
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:intr #'(lambda (degr gnrt)
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(ecase gnrt
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(a (cat:cmbn (1- degr) 2 'd1a -3 'd2a))
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(b (cat:cmbn (1- degr) 3 'd1b -4 'd2b))))
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:strt :gnrt :orgn '(test-2)))
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(rslt (cat:tnsr-prdc-intr-dffr dffr dffr)))
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(funcall rslt 4 (cat:tnpr 2 'a 2 'b))
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(funcall rslt 5 (cat:tnpr 3 'a 2 'b))
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(funcall rslt 5 (cat:tnpr 2 'a 3 'b))
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(funcall rslt 6 (cat:tnpr 3 'a 3 'b))))
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(test tnsr-prdc
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(let ((dd (cat:tnsr-prdc (cat:delta 2) (cat:delta 3))))
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(cat:cmpr dd (cat:tnpr 2 7 2 11) (cat:tnpr 2 7 2 14))
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(cat:basis dd 3)
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(cat:? dd 4 (cat:tnpr 2 7 2 14))
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(cat:? dd 3 (cat:tnpr 1 6 2 14))
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(cat:? dd (cat:? dd 4 (cat:tnpr 2 7 2 14)))
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(cat:? dd (cat:? dd 3 (cat:tnpr 1 6 2 14)))))
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(test tnsr-prdc-intr
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(cat:cat-init)
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(let* ((chcm (cat:build-chcm :cmpr #'cat:s-cmpr
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:basis :locally-effective
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:intr-dffr #'cat:zero-mrph
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:strt :gnrt
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:orgn '(test-1)))
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(mrph (cat:build-mrph
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:sorc chcm :trgt chcm :degr 0
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:intr #'(lambda (degr gnrt)
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(ecase gnrt
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(a (cat:cmbn degr 2 'd1a -3 'd2a))
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(b (cat:cmbn degr 3 'd1b -4 'd2b))))
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:strt :gnrt :orgn '(test-2)))
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(rslt (cat:tnsr-prdc-intr mrph mrph)))
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(funcall rslt 6 (cat:tnpr 2 'a 4 'b))
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(funcall rslt 5 (cat:tnpr 3 'a 2 'b))
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(setf mrph (cat:build-mrph
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:sorc chcm :trgt chcm :degr 1
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:intr #'(lambda (degr gnrt)
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(ecase gnrt
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(a (cat:cmbn (1+ degr) 2 'd1a -3 'd2a))
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(b (cat:cmbn (1+ degr) 3 'd1b -4 'd2b))))
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:strt :gnrt :orgn '(test-3)))
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(setf rslt (cat:tnsr-prdc-intr mrph mrph))
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(funcall rslt 6 (cat:tnpr 2 'a 4 'b))
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(funcall rslt 5 (cat:tnpr 3 'a 2 'b))))
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(test tnsr-prdc
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(cat:cat-init)
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(let* ((d (cat:dffr (cat:delta-infinity)))
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(dd (cat:tnsr-prdc d d))
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(ddd (cat:cmps dd dd)))
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(is (eq (cat:sorc dd) (cat:tnsr-prdc (cat:delta-infinity)
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(cat:delta-infinity))))
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(cat:? dd 5 (cat:tnpr 2 7 3 15))
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(cat:? dd 5 (cat:tnpr 3 15 2 7))
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(cat:? dd (cat:? dd 5 (cat:tnpr 2 7 3 15)))
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(cat:? dd (cat:? dd 5 (cat:tnpr 3 15 2 7)))
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(cat:? ddd 5 (cat:tnpr 2 7 3 15))
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(cat:? ddd 5 (cat:tnpr 3 15 2 7))))
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#|
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(test tnsr-prdc1
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(cat:cat-init)
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(let* ((r (cat:ez (cat:delta-infinity) (cat:delta-infinity)))
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(r2 (cat:tnsr-prdc r r)))
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(setf cat:*bc* (cat:cmbn 4 1 (cat:tnpr 2 (cat:tnpr 1 3 1 3) 2
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(cat:tnpr 1 3 1 3)))
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cat:*tc* (cat:cmbn 2 1 (cat:tnpr 1 (cat:crpr 0 3 0 3) 1
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(cat:crpr 0 3 0 3))))
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(cat:pre-check-rdct r2)
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(check-rdct)))
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(test tnsr-prdc2
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(cat:cat-init)
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(let* ((k (cat:k-z 2))
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(k2 (cat:tnsr-prdc k k)))
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(cat:homology k2 0 10)))
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|#
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