kenzo/test/disk-pasting-test.lisp

150 lines
5.1 KiB
Common Lisp

;;;; -*- Mode: Lisp; Syntax: ANSI-Common-Lisp; Base: 10 -*
(in-package :kenzo-test)
(in-suite :kenzo)
(test disk-pasting-cmpr
(let* ((c (cat:delta 3))
(cmpr (cat:disk-pasting-cmpr (cat:cmpr c) 'new)))
(is (equal :equal (funcall cmpr 'new 'new)))
(is (equal :less (funcall cmpr 'new 5)))
(is (equal :greater (funcall cmpr 5 'new)))
(is (equal :equal (funcall cmpr 5 5)))
(is (equal :less (funcall cmpr 5 6)))
(is (equal :greater (funcall cmpr 6 5)))))
(test disk-pasting-basis
(cat:cat-init)
(let* ((c (cat:delta 3))
(basis (cat:disk-pasting-basis (cat:basis c) 3 'new)))
(funcall basis 3)
(funcall basis 2)))
(test disk-pasting-intr-dffr
(cat:cat-init)
(let* ((c (cat:delta 3))
intr)
(signals simple-error
(setf intr (cat:disk-pasting-intr-dffr
(cat:dffr c) 3 'new (cat:cmbn 2 1 7))))
(setf intr (cat:disk-pasting-intr-dffr (cat:dffr c)
3 'new (cat:? c 3 15)))
(funcall intr (cat:cmbn 2 1 7))
(funcall intr (cat:cmbn 3))
(funcall intr (cat:cmbn 3 1 15))
(funcall intr (cat:cmbn 3 1 'new 1 15))
(funcall intr (cat:cmbn 3 1 'new -1 15))
(funcall intr (cat:cmbn 3 -1 'new 1 15))
(funcall intr (cat:cmbn 3 -1 'new -1 15))))
(test chcm-disk-pasting
(cat:cat-init)
(let* ((c (cat:delta 3))
(s3 (cat:chcm-disk-pasting c 3 'new (cat:? c 3 15))))
(cat:homology s3 0 5)))
(test disk-pasting-face
(cat:cat-init)
(let* ((c (cat:delta 3))
(face (cat:disk-pasting-face (cat:cmpr c) (cat:face c)
3 'new
(list 14 (cat:absm 0 13) 11 7))))
(funcall face 0 2 7)
(funcall face 0 3 15)
(dotimes (i 4) (print (funcall face i 3 'new)))))
(test disk-pasting
(cat:cat-init)
(let* ((d2 (cat:delta 2))
(s2 (cat:disk-pasting d2 2 'new '(6 5 3)))
s2xs2)
(cat:homology s2 0 4)
(setf s2xs2 (cat:crts-prdc s2 s2))
(cat:homology s2xs2 0 6)))
(test mrph-disk-pasting-intr
(cat:cat-init)
(let* ((m (cat:idnt-mrph (cat:delta 3)))
(intr (cat:mrph-disk-pasting-intr m (cat:cmpr (cat:delta 3))
3 'new (cat:cmbn 3 -1 15))))
(funcall intr (cat:cmbn 2 3 7))
(funcall intr (cat:cmbn 3))
(funcall intr (cat:cmbn 3 4 15))
(funcall intr (cat:cmbn 3 1 'new 1 15))
(funcall intr (cat:cmbn 3 -1 'new 1 15))))
(test mrph-disk-pasting
(cat:cat-init)
(let* ((d (cat:delta 3))
(m (cat:idnt-mrph d))
(sorc (cat:chcm-disk-pasting d 3 'new (cat:? d 3 15)))
(nm (cat:mrph-disk-pasting m sorc sorc 3 'new
(cat:cmbn 3 1 'new))))
(cat:? nm (cat:cmbn 3 2 'new 3 15))))
(test disk-pasting1
(cat:cat-init)
(let* ((d (cat:delta 2))
(s2 (cat:disk-pasting d 2 'new '(6 5 3))))
(cat:homology s2 0 4)))
(test hmeq-disk-pasting
(cat:cat-init)
(let* ((tcc (cat:build-chcm
:cmpr #'cat:s-cmpr
:basis #'(lambda (degr)
(case degr
(0 (list 'a))
(1 (list 'b))
(otherwise nil)))
:intr-dffr #'(lambda (degr gnrt)
(if (= 1 degr)
(cat:cmbn 0 1 'a)
(cat:zero-cmbn (1- degr))))
:strt :gnrt
:orgn '(z-z)))
(bcc (cat:build-chcm
:cmpr #'cat:s-cmpr
:basis #'(lambda (degr) nil)
:intr-dffr #'(lambda (degr gnrt) (error "Impossible."))
:strt :gnrt
:orgn '(zero)))
(rh (cat:build-mrph
:sorc tcc :trgt tcc :degr +1
:intr #'(lambda (degr gnrt)
(if (zerop degr)
(cat:cmbn 1 1 'b)
(cat:zero-cmbn 2)))
:strt :gnrt
:orgn '(rh)))
(hmeq (cat:build-hmeq
:lrdct (cat:trivial-rdct tcc)
:rrdct (cat:build-rdct
:f (cat:zero-mrph tcc bcc 0)
:g (cat:zero-mrph bcc tcc 0)
:h rh
:orgn '(rrdct))))
(nhmeq (cat:hmeq-disk-pasting hmeq 1 'new (cat:cmbn 0 1 'a))))
(cat:pre-check-rdct (cat:lrdct nhmeq))
(setf cat:*tc* (cat:cmbn 0 1 'a))
(setf cat:*bc* cat:*tc*)
(check-rdct)
(setf cat:*tc* (cat:cmbn 1 1 'new 10 'b))
(setf cat:*bc* cat:*tc*)
(check-rdct)
(cat:pre-check-rdct (cat:rrdct nhmeq))
(setf cat:*bc* (cat:zero-cmbn 0))
(check-rdct)
(setf cat:*tc* (cat:cmbn 0 1 'a))
(check-rdct)))