kenzo/test/simplicial-sets-test.lisp

206 lines
6.4 KiB
Common Lisp

;;;; -*- Mode: Lisp; Syntax: ANSI-Common-Lisp; Base: 10 -*
(in-package :kenzo-test)
(in-suite :kenzo)
(test dgop-ext-int
(is (= 0 (cat:dgop-ext-int '())))
(signals simple-error (cat:dgop-ext-int '(2 2)))
(is (= 17 (cat:dgop-ext-int '(4 0)))))
(test dgop-int-ext
(is (null (cat:dgop-int-ext 0)))
(is (equal '(2) (cat:dgop-int-ext 4)))
(is (equal '(5 4 3 2 1 0) (cat:dgop-int-ext 63)))
(dotimes (i 33)
(is (= i (cat:dgop-ext-int (cat:dgop-int-ext i))))))
(test hyphenize-list
(is (string= "-" (cat:hyphenize-list '())))
(is (string= "3" (cat:hyphenize-list '(3))))
(is (string= "5-3-1" (cat:hyphenize-list '(5 3 1)))))
(test moore
(let ((m (cat:moore 2 2)))
(dotimes (i 4)
(print (cat:basis m i :dgnr)))))
#|
(test intr-diagonal
(let* ((cmpr #'cat:f-cmpr)
(face #'cat:delta-face)
(diag (cat:intr-diagonal face)))
(funcall diag 4 (cat:mask 5))
(funcall diag 0 4)
(setf cmpr #'cat:s-cmpr face (cat:sphere-face 4))
(setf diag (cat:intr-diagonal face))
(funcall diag 4 's4)
(funcall diag 0 '*)
(setf s4 (cat:sphere 4))
(cat:dgnl s4 4 's4)))
|#
(test face-bndr
(let* ((face #'(lambda (indx dmns gmsm)
(cat:absm 0 (append
(subseq gmsm 0 indx)
(subseq gmsm (1+ indx))))))
(bndr (cat:face-bndr #'cat:l-cmpr face)))
(funcall bndr 0 '(a))
(funcall bndr 1 '(a b))
(funcall bndr 2 '(a b c))
(funcall bndr 3 '(a b c d))
(funcall bndr 3 '(d c b a))
(funcall bndr 1 '(a a))
(funcall bndr 2 '(a a a))
(funcall bndr 3 '(a a a a))
(setf face #'(lambda (index dmns gmsm)
(cat:absm (cat:dgop-ext-int
(nreverse (cat:<a-b< 0 (1- dmns)))) 'a)))
(setf bndr (cat:face-bndr #'cat:s-cmpr face))
(funcall bndr 1 '(a b))
(funcall bndr 2 '(a b c))))
(test face*-bndr
(let* ((face* #'(lambda (indx dmns gmsm)
(if (and (= dmns 3) (evenp indx))
'm2
:degenerate)))
(bndr (cat:face*-bndr #'cat:s-cmpr face*)))
(funcall bndr 3 'm3)
(funcall bndr 2 'm2)
(funcall bndr 0 '*)
(setf face* #'(lambda (indx dmns gmsm)
(if (and (= dmns 3) (< indx 2))
'm2
:degenerate)))
(setf bndr (cat:face*-bndr #'cat:s-cmpr face*))
(funcall bndr 3 'm3)
(funcall bndr 2 'm2)
(funcall bndr 0 '*)))
(test a-cmpr3
(is (equal :less (cat:a-cmpr3 #'cat:s-cmpr
(cat:absm 0 'a)
(cat:absm 1 'b))))
(is (equal :greater (cat:a-cmpr3 #'cat:s-cmpr
(cat:absm 2 'a)
(cat:absm 1 'b))))
(is (equal :less (cat:a-cmpr3 #'cat:s-cmpr
(cat:absm 1 'a)
(cat:absm 1 'b))))
(is (equal :greater (cat:a-cmpr3 #'cat:s-cmpr
(cat:absm 1 'c)
(cat:absm 1 'b))))
(is (equal :equal (cat:a-cmpr3 #'cat:s-cmpr
(cat:absm 1 'a)
(cat:absm 1 'a)))))
(test bspn-p
(let* ((d (cat:delta-infinity))
(cmpr (cat:cmpr d)))
(is (cat:bspn-p cmpr 1 5 (cat:absm (cat:mask 5) 1)))
(is (not (cat:bspn-p cmpr 1 5 (cat:absm (cat:mask 5) 2))))
(is (not (cat:bspn-p cmpr 1 5 (cat:absm (cat:mask 4) 3))))))
(test dlop-ext-int
(is (= 0 (cat:dlop-ext-int '())))
(signals simple-error (cat:dlop-ext-int '(2 2)))
(is (= 17 (cat:dlop-ext-int '(0 4)))))
(test dlop-ext-int
(is (null (cat:dlop-int-ext 0)))
(is (equal '(2) (cat:dlop-int-ext 4)))
(is (equal '(0 1 2 3 4 5) (cat:dlop-int-ext 63)))
(dotimes (i 33)
(is (= i (cat:dlop-ext-int (cat:dlop-int-ext i))))))
(test 1dgop*dgop
(dotimes (i 20)
(dotimes (j 5)
(format t "~% (~D) o ~A = ~A"
j (cat:dgop-int-ext i)
(cat:dgop-int-ext (cat:1dgop*dgop j i))))))
(test dgop*dgop
(dotimes (i 10)
(dotimes (j 10)
(format t "~%~A o ~A = ~A"
(cat:dgop-int-ext i) (cat:dgop-int-ext j)
(cat:dgop-int-ext (cat:dgop*dgop i j))))))
(test remove-bit
(is (= 51 (cat:remove-bit 107 3))))
(test dgop/dgop
(is (= 67 (cat:dgop/dgop 67 0)))
(is (= 32 (cat:dgop/dgop 68 4)))
(is (= 7 (cat:dgop/dgop 31 5))))
(test 1dlop-dgop
(dotimes (i 5)
(dotimes (j 17)
(multiple-value-bind (dgop 1dlop) (cat:1dlop-dgop i j)
(format t "~% del-~D o ~A = ~A o del-~A"
i (cat:dgop-int-ext j) (cat:dgop-int-ext dgop) 1dlop)))))
#|
(test a-face4
(let ((simp (cat:dlop-ext-int '(0 1 2 3 4 5 6))))
(dotimes (i 5)
(dotimes (j 17)
(let ((face (cat:a-face4 (cat:face (cat:delta-infinity))
i (+ 6 (logcount j))
(cat:absm j simp))))
(format t "~%del-~D o ~A (0 1 2 3 4 5 6) = ~A ~A"
i (cat:dgop-int-ext j)
(cat:dgop-int-ext (cat:dgop face))
(cat:dlop-int-ext (cat:gmsm face))))))))
|#
(test 1dgnr
(print (cat:1dgnr 2 (cat:absm 17 'a))))
(test ndgnr
(print (cat:ndgnr 2 (cat:absm 17 'a))))
(test nface
(let ((f (cat:face (cat:delta-infinity)))
p)
(dotimes (dlop 31)
(print (cat:dlop-int-ext (cat:gmsm (cat:nface f dlop 4 31)))))
(setf p (cat:r-proj-space))
(setf f (cat:face p))
(dotimes (dlop 31)
(format t "~%~A ~A"
(cat:hyphenize-list (cat:dlop-int-ext dlop))
(cat:nface f dlop 4 4)))))
(test check-faces
(let ((d (cat:delta-infinity)))
(is (cat:check-faces #'cat:f-cmpr (cat:face d) 4 31))))
(test check-smst
(signals simple-error (cat:check-smst (cat:delta-infinity) 5))
(is (cat:check-smst (cat:delta 3) 2))
(is (cat:check-smst (cat:delta 3) 2 4)))