Gerd Heber
parent
d061360c93
commit
6e7234e191
@ -7,9 +7,9 @@
|
||||
(PROVIDE "lp-space-efhm")
|
||||
|
||||
(DEFUN LS-HAT-U-U (space
|
||||
&aux (cobar (cobar space))
|
||||
(loop-space (loop-space space))
|
||||
(spac-tnsr-lpsp (tnsr-prdc space loop-space)))
|
||||
&aux (cobar (cobar space))
|
||||
(loop-space (loop-space space))
|
||||
(spac-tnsr-lpsp (tnsr-prdc space loop-space)))
|
||||
(declare
|
||||
(type simplicial-set space)
|
||||
(type chain-complex cobar spac-tnsr-lpsp)
|
||||
@ -22,38 +22,38 @@
|
||||
(declare (type simplicial-set space))
|
||||
(let ((cprd (dgnl space)))
|
||||
(flet ((rslt (degr tnpr)
|
||||
(declare
|
||||
(fixnum degr)
|
||||
(type tnpr tnpr))
|
||||
(with-tnpr
|
||||
(degr1 allp1 nil tnpr2) tnpr
|
||||
(with-tnpr
|
||||
(degr21 gmsm21 degr22 loop22) tnpr2
|
||||
(let ((cprd (cmbn-list (gnrt-? cprd degr21 gmsm21))))
|
||||
(declare (list cprd))
|
||||
(setf cprd (rest cprd)) ;;; because \bar{A}
|
||||
(make-cmbn
|
||||
:degr (1- degr)
|
||||
:list
|
||||
(mapcar
|
||||
#'(lambda (term)
|
||||
(declare (type term term))
|
||||
(with-term
|
||||
(cffc tnpr21) term
|
||||
(with-tnpr
|
||||
(degr211 gmsm211 degr212 gmsm212) tnpr21
|
||||
(decf degr211)
|
||||
(term cffc (tnpr (+ degr1 degr211)
|
||||
(make-allp
|
||||
:list
|
||||
(append
|
||||
(allp-list allp1)
|
||||
(list (cbgn degr211
|
||||
gmsm211))))
|
||||
(+ degr212 degr22)
|
||||
(tnpr degr212 gmsm212
|
||||
degr22 loop22))))))
|
||||
cprd)))))))
|
||||
(declare
|
||||
(fixnum degr)
|
||||
(type tnpr tnpr))
|
||||
(with-tnpr
|
||||
(degr1 allp1 nil tnpr2) tnpr
|
||||
(with-tnpr
|
||||
(degr21 gmsm21 degr22 loop22) tnpr2
|
||||
(let ((cprd (cmbn-list (gnrt-? cprd degr21 gmsm21))))
|
||||
(declare (list cprd))
|
||||
(setf cprd (rest cprd)) ;;; because \bar{A}
|
||||
(make-cmbn
|
||||
:degr (1- degr)
|
||||
:list
|
||||
(mapcar
|
||||
#'(lambda (term)
|
||||
(declare (type term term))
|
||||
(with-term
|
||||
(cffc tnpr21) term
|
||||
(with-tnpr
|
||||
(degr211 gmsm211 degr212 gmsm212) tnpr21
|
||||
(decf degr211)
|
||||
(term cffc (tnpr (+ degr1 degr211)
|
||||
(make-allp
|
||||
:list
|
||||
(append
|
||||
(allp-list allp1)
|
||||
(list (cbgn degr211
|
||||
gmsm211))))
|
||||
(+ degr212 degr22)
|
||||
(tnpr degr212 gmsm212
|
||||
degr22 loop22))))))
|
||||
cprd)))))))
|
||||
(the intr-mrph #'rslt))))
|
||||
|
||||
|
||||
@ -62,17 +62,17 @@
|
||||
(the morphism
|
||||
(let ((ls-hat-u-u (ls-hat-u-u space)))
|
||||
(build-mrph
|
||||
:sorc ls-hat-u-u
|
||||
:trgt ls-hat-u-u
|
||||
:degr -1
|
||||
:intr (ls-hat-left-perturbation-intr space)
|
||||
:strt :gnrt
|
||||
:orgn `(ls-hat-left-perturbation ,space)))))
|
||||
:sorc ls-hat-u-u
|
||||
:trgt ls-hat-u-u
|
||||
:degr -1
|
||||
:intr (ls-hat-left-perturbation-intr space)
|
||||
:strt :gnrt
|
||||
:orgn `(ls-hat-left-perturbation ,space)))))
|
||||
|
||||
(DEFUN LS-HAT-T-U (space
|
||||
&aux (ls-hat-u-u (ls-hat-u-u space))
|
||||
(ls-hat-left-perturbation
|
||||
(ls-hat-left-perturbation space)))
|
||||
&aux (ls-hat-u-u (ls-hat-u-u space))
|
||||
(ls-hat-left-perturbation
|
||||
(ls-hat-left-perturbation space)))
|
||||
(declare
|
||||
(type simplicial-set space)
|
||||
(type chain-complex ls-hat-u-u)
|
||||
@ -87,27 +87,27 @@
|
||||
|
||||
|
||||
(DEFUN LS-HAT-RIGHT-PERTURBATION (space
|
||||
&aux (cobar (cobar space))
|
||||
(ls-hat-t-u (ls-hat-t-u space)))
|
||||
&aux (cobar (cobar space))
|
||||
(ls-hat-t-u (ls-hat-t-u space)))
|
||||
(declare
|
||||
(type simplicial-set space)
|
||||
(type chain-complex cobar ls-hat-t-u))
|
||||
(the morphism
|
||||
(multiple-value-bind (szczarba bottom-perturbation)
|
||||
(szczarba space)
|
||||
(szczarba space)
|
||||
(declare
|
||||
(ignore szczarba)
|
||||
(type morphism bottom-perturbation))
|
||||
(ignore szczarba)
|
||||
(type morphism bottom-perturbation))
|
||||
(let ((rslt (tnsr-prdc (idnt-mrph cobar) bottom-perturbation)))
|
||||
(declare (type morphism rslt))
|
||||
(setf (slot-value rslt 'sorc) ls-hat-t-u
|
||||
(slot-value rslt 'trgt) ls-hat-t-u)
|
||||
rslt))))
|
||||
(declare (type morphism rslt))
|
||||
(setf (slot-value rslt 'sorc) ls-hat-t-u
|
||||
(slot-value rslt 'trgt) ls-hat-t-u)
|
||||
rslt))))
|
||||
|
||||
(DEFUN LS-HAT-U-T (space
|
||||
&aux (cobar (cobar space))
|
||||
(twisted-tnsr-prdc (twisted-tnsr-prdc space))
|
||||
(ls-hat-u-u (ls-hat-u-u space)))
|
||||
&aux (cobar (cobar space))
|
||||
(twisted-tnsr-prdc (twisted-tnsr-prdc space))
|
||||
(ls-hat-u-u (ls-hat-u-u space)))
|
||||
(declare
|
||||
(type simplicial-set space)
|
||||
(type chain-complex cobar twisted-tnsr-prdc ls-hat-u-u))
|
||||
@ -119,10 +119,10 @@
|
||||
|
||||
|
||||
(DEFUN LS-LEFT-HMEQ-HAT (space
|
||||
&aux
|
||||
(ls-hat-u-t (ls-hat-u-t space))
|
||||
(ls-hat-left-perturbation
|
||||
(ls-hat-left-perturbation space)))
|
||||
&aux
|
||||
(ls-hat-u-t (ls-hat-u-t space))
|
||||
(ls-hat-left-perturbation
|
||||
(ls-hat-left-perturbation space)))
|
||||
(declare
|
||||
(type simplicial-set space)
|
||||
(type chain-complex ls-hat-u-t)
|
||||
@ -137,75 +137,75 @@
|
||||
(let ((rslt +empty-list+))
|
||||
(declare (list rslt))
|
||||
(dolist (term (cmbn-list cmbn))
|
||||
(declare (type term term))
|
||||
(with-term
|
||||
(cffc tnpr) term
|
||||
(with-tnpr (degr1 nil nil tnpr2) tnpr
|
||||
(if (zerop degr1)
|
||||
(with-tnpr
|
||||
(degr21 nil nil loop22) tnpr2
|
||||
(if (zerop degr21)
|
||||
(push (term cffc loop22) rslt)
|
||||
(return)))
|
||||
(return)))))
|
||||
(declare (type term term))
|
||||
(with-term
|
||||
(cffc tnpr) term
|
||||
(with-tnpr (degr1 nil nil tnpr2) tnpr
|
||||
(if (zerop degr1)
|
||||
(with-tnpr
|
||||
(degr21 nil nil loop22) tnpr2
|
||||
(if (zerop degr21)
|
||||
(push (term cffc loop22) rslt)
|
||||
(return)))
|
||||
(return)))))
|
||||
(make-cmbn :degr (cmbn-degr cmbn)
|
||||
:list (nreverse rslt)))))
|
||||
:list (nreverse rslt)))))
|
||||
|
||||
|
||||
(DEFUN LS-PRE-LEFT-HMEQ-LEFT-REDUCTION-F (space
|
||||
&aux (ls-hat-t-u (ls-hat-t-u space))
|
||||
(loop-space (loop-space space)))
|
||||
&aux (ls-hat-t-u (ls-hat-t-u space))
|
||||
(loop-space (loop-space space)))
|
||||
(declare
|
||||
(type simplicial-set space loop-space)
|
||||
(type chain-complex ls-hat-t-u))
|
||||
(the morphism
|
||||
(build-mrph
|
||||
:sorc ls-hat-t-u
|
||||
:trgt loop-space
|
||||
:degr 0
|
||||
:intr #'ls-pre-left-hmeq-left-reduction-intr-f
|
||||
:strt :cmbn
|
||||
:orgn `(ls-pre-left-hmeq-left-reduction-f ,space))))
|
||||
:sorc ls-hat-t-u
|
||||
:trgt loop-space
|
||||
:degr 0
|
||||
:intr #'ls-pre-left-hmeq-left-reduction-intr-f
|
||||
:strt :cmbn
|
||||
:orgn `(ls-pre-left-hmeq-left-reduction-f ,space))))
|
||||
|
||||
(DEFUN LS-LEFT-HMEQ-LEFT-REDUCTION-G-INTR (bspn)
|
||||
(declare (type gmsm bspn))
|
||||
(flet ((rslt (cmbn)
|
||||
(declare (type cmbn cmbn))
|
||||
(the cmbn
|
||||
(declare (type cmbn cmbn))
|
||||
(the cmbn
|
||||
(with-cmbn
|
||||
(degr list) cmbn
|
||||
(make-cmbn :degr degr
|
||||
:list (mapcar
|
||||
#'(lambda (term)
|
||||
(declare (type term term))
|
||||
(with-term
|
||||
(cffc loop) term
|
||||
(term cffc
|
||||
(tnpr
|
||||
0 +null-allp+
|
||||
degr
|
||||
(tnpr 0 bspn degr
|
||||
loop)))))
|
||||
list))))))
|
||||
(degr list) cmbn
|
||||
(make-cmbn :degr degr
|
||||
:list (mapcar
|
||||
#'(lambda (term)
|
||||
(declare (type term term))
|
||||
(with-term
|
||||
(cffc loop) term
|
||||
(term cffc
|
||||
(tnpr
|
||||
0 +null-allp+
|
||||
degr
|
||||
(tnpr 0 bspn degr
|
||||
loop)))))
|
||||
list))))))
|
||||
(the intr-mrph #'rslt)))
|
||||
|
||||
|
||||
(DEFUN LS-LEFT-HMEQ-LEFT-REDUCTION-G (space
|
||||
&aux (bspn (bspn space))
|
||||
(ls-hat-t-u (ls-hat-t-u space))
|
||||
(loop-space (loop-space space)))
|
||||
&aux (bspn (bspn space))
|
||||
(ls-hat-t-u (ls-hat-t-u space))
|
||||
(loop-space (loop-space space)))
|
||||
(declare
|
||||
(type simplicial-set space loop-space)
|
||||
(type gmsm bspn)
|
||||
(type chain-complex ls-hat-t-u))
|
||||
(the morphism
|
||||
(build-mrph
|
||||
:sorc loop-space
|
||||
:trgt ls-hat-t-u
|
||||
:degr 0
|
||||
:intr (ls-left-hmeq-left-reduction-g-intr bspn)
|
||||
:strt :cmbn
|
||||
:orgn `(ls-left-hmeq-left-reduction-g ,space))))
|
||||
:sorc loop-space
|
||||
:trgt ls-hat-t-u
|
||||
:degr 0
|
||||
:intr (ls-left-hmeq-left-reduction-g-intr bspn)
|
||||
:strt :cmbn
|
||||
:orgn `(ls-left-hmeq-left-reduction-g ,space))))
|
||||
|
||||
|
||||
(DEFUN LS-PRE-LEFT-HMEQ-LEFT-REDUCTION-H-INTR
|
||||
@ -219,88 +219,88 @@
|
||||
(flet ((rslt (cmbn)
|
||||
(declare (type cmbn cmbn))
|
||||
(the cmbn
|
||||
(with-cmbn
|
||||
(degr list) cmbn
|
||||
(let ((rslt (zero-cmbn (1+ degr))))
|
||||
(declare (type cmbn rslt))
|
||||
(dolist (term list)
|
||||
(declare (type term term))
|
||||
(with-term
|
||||
(cffc tnpr) term
|
||||
(with-tnpr
|
||||
(degr1 allp1 degr2 tnpr2) tnpr
|
||||
(unless (zerop degr1)
|
||||
(with-tnpr
|
||||
(degr21 nil degr22 loop22) tnpr2
|
||||
(when (zerop degr21)
|
||||
(setf allp1 (allp-list allp1)) ;;;+++
|
||||
(let ((last-cbgn (car (last allp1))))
|
||||
(declare (type cbgn last-cbgn))
|
||||
(with-cbgn
|
||||
(degrl gmsml) last-cbgn
|
||||
(dstr-add-term-to-cmbn
|
||||
cmpr cffc
|
||||
(tnpr (- degr1 degrl)
|
||||
(make-allp
|
||||
:list (butlast allp1))
|
||||
(+ degr2 degrl 1)
|
||||
(tnpr (1+ degrl) gmsml
|
||||
degr22 loop22))
|
||||
rslt)))))))))
|
||||
rslt)))))
|
||||
(with-cmbn
|
||||
(degr list) cmbn
|
||||
(let ((rslt (zero-cmbn (1+ degr))))
|
||||
(declare (type cmbn rslt))
|
||||
(dolist (term list)
|
||||
(declare (type term term))
|
||||
(with-term
|
||||
(cffc tnpr) term
|
||||
(with-tnpr
|
||||
(degr1 allp1 degr2 tnpr2) tnpr
|
||||
(unless (zerop degr1)
|
||||
(with-tnpr
|
||||
(degr21 nil degr22 loop22) tnpr2
|
||||
(when (zerop degr21)
|
||||
(setf allp1 (allp-list allp1)) ;;;+++
|
||||
(let ((last-cbgn (car (last allp1))))
|
||||
(declare (type cbgn last-cbgn))
|
||||
(with-cbgn
|
||||
(degrl gmsml) last-cbgn
|
||||
(dstr-add-term-to-cmbn
|
||||
cmpr cffc
|
||||
(tnpr (- degr1 degrl)
|
||||
(make-allp
|
||||
:list (butlast allp1))
|
||||
(+ degr2 degrl 1)
|
||||
(tnpr (1+ degrl) gmsml
|
||||
degr22 loop22))
|
||||
rslt)))))))))
|
||||
rslt)))))
|
||||
(the intr-mrph #'rslt)))
|
||||
|
||||
|
||||
(DEFUN LS-PRE-LEFT-HMEQ-LEFT-REDUCTION-H (space
|
||||
&aux (ls-hat-t-u (ls-hat-t-u space)))
|
||||
&aux (ls-hat-t-u (ls-hat-t-u space)))
|
||||
(declare
|
||||
(type simplicial-set space)
|
||||
(type chain-complex ls-hat-t-u))
|
||||
(the morphism
|
||||
(build-mrph
|
||||
:sorc ls-hat-t-u
|
||||
:trgt ls-hat-t-u
|
||||
:degr +1
|
||||
:intr (ls-pre-left-hmeq-left-reduction-h-intr space)
|
||||
:strt :cmbn
|
||||
:orgn `(ls-pre-left-hmeq-left-reduction-h ,space))))
|
||||
:sorc ls-hat-t-u
|
||||
:trgt ls-hat-t-u
|
||||
:degr +1
|
||||
:intr (ls-pre-left-hmeq-left-reduction-h-intr space)
|
||||
:strt :cmbn
|
||||
:orgn `(ls-pre-left-hmeq-left-reduction-h ,space))))
|
||||
|
||||
|
||||
(DEFUN LS-PRE-LEFT-HMEQ-LEFT-REDUCTION (space)
|
||||
(declare (type simplicial-set space))
|
||||
(the reduction
|
||||
(build-rdct
|
||||
:f (ls-pre-left-hmeq-left-reduction-f space)
|
||||
:g (ls-left-hmeq-left-reduction-g space)
|
||||
:h (ls-pre-left-hmeq-left-reduction-h space)
|
||||
:orgn `(ls-pre-left-hmeq-left-reduction ,space))))
|
||||
:f (ls-pre-left-hmeq-left-reduction-f space)
|
||||
:g (ls-left-hmeq-left-reduction-g space)
|
||||
:h (ls-pre-left-hmeq-left-reduction-h space)
|
||||
:orgn `(ls-pre-left-hmeq-left-reduction ,space))))
|
||||
|
||||
|
||||
(DEFUN LS-LEFT-HMEQ-LEFT-REDUCTION (space
|
||||
&aux (ls-pre-left-hmeq-left-reduction
|
||||
(ls-pre-left-hmeq-left-reduction
|
||||
space))
|
||||
(ls-hat-right-perturbation
|
||||
(ls-hat-right-perturbation space)))
|
||||
&aux (ls-pre-left-hmeq-left-reduction
|
||||
(ls-pre-left-hmeq-left-reduction
|
||||
space))
|
||||
(ls-hat-right-perturbation
|
||||
(ls-hat-right-perturbation space)))
|
||||
(declare
|
||||
(type simplicial-set space)
|
||||
(type reduction ls-pre-left-hmeq-left-reduction)
|
||||
(type morphism ls-hat-right-perturbation))
|
||||
(the reduction
|
||||
(progn
|
||||
(dstr-change-sorc-trgt ls-hat-right-perturbation
|
||||
:new-sorc (tcc ls-pre-left-hmeq-left-reduction)
|
||||
:new-trgt (tcc ls-pre-left-hmeq-left-reduction))
|
||||
(dstr-change-sorc-trgt ls-hat-right-perturbation
|
||||
:new-sorc (tcc ls-pre-left-hmeq-left-reduction)
|
||||
:new-trgt (tcc ls-pre-left-hmeq-left-reduction))
|
||||
(let ((rslt (special-bpl ls-pre-left-hmeq-left-reduction
|
||||
ls-hat-right-perturbation)))
|
||||
(declare (type reduction rslt))
|
||||
(with-slots (tcc f g h) rslt
|
||||
(setf tcc (ls-left-hmeq-hat space)
|
||||
(slot-value f 'sorc) tcc
|
||||
(slot-value g 'trgt) tcc
|
||||
(slot-value h 'sorc) tcc
|
||||
(slot-value h 'trgt) tcc)
|
||||
rslt)))))
|
||||
ls-hat-right-perturbation)))
|
||||
(declare (type reduction rslt))
|
||||
(with-slots (tcc f g h) rslt
|
||||
(setf tcc (ls-left-hmeq-hat space)
|
||||
(slot-value f 'sorc) tcc
|
||||
(slot-value g 'trgt) tcc
|
||||
(slot-value h 'sorc) tcc
|
||||
(slot-value h 'trgt) tcc)
|
||||
rslt)))))
|
||||
|
||||
|
||||
;;; -[CLISP
|
||||
@ -309,14 +309,14 @@
|
||||
(declare (type cmbn cmbn))
|
||||
(the cmbn
|
||||
(with-cmbn (degr list) cmbn
|
||||
(let ((tail (member 0 list :test #'= :key #'cadddr)))
|
||||
(make-cmbn :degr degr
|
||||
:list (mapcar
|
||||
#'(lambda (term)
|
||||
(declare (type term term))
|
||||
(with-term (cffc tnpr) term
|
||||
(term cffc (gnrt1 tnpr))))
|
||||
tail))))))
|
||||
(let ((tail (member 0 list :test #'= :key #'cadddr)))
|
||||
(make-cmbn :degr degr
|
||||
:list (mapcar
|
||||
#'(lambda (term)
|
||||
(declare (type term term))
|
||||
(with-term (cffc tnpr) term
|
||||
(term cffc (gnrt1 tnpr))))
|
||||
tail))))))
|
||||
|#
|
||||
;;; LISP]-
|
||||
;;; +[CLISP
|
||||
@ -324,74 +324,74 @@
|
||||
(declare (type cmbn cmbn))
|
||||
(the cmbn
|
||||
(with-cmbn (degr list) cmbn
|
||||
(let ((tail (member 0 list
|
||||
:key #'(lambda (term)
|
||||
(declare (type term term))
|
||||
(degr2 (gnrt term))))))
|
||||
(make-cmbn :degr degr
|
||||
:list (mapcar
|
||||
#'(lambda (term)
|
||||
(declare (type term term))
|
||||
(with-term (cffc tnpr) term
|
||||
(term cffc (gnrt1 tnpr))))
|
||||
tail))))))
|
||||
(let ((tail (member 0 list
|
||||
:key #'(lambda (term)
|
||||
(declare (type term term))
|
||||
(degr2 (gnrt term))))))
|
||||
(make-cmbn :degr degr
|
||||
:list (mapcar
|
||||
#'(lambda (term)
|
||||
(declare (type term term))
|
||||
(with-term (cffc tnpr) term
|
||||
(term cffc (gnrt1 tnpr))))
|
||||
tail))))))
|
||||
;;; CLISP]+
|
||||
|
||||
|
||||
(DEFUN LS-PRE-LEFT-HMEQ-RIGHT-REDUCTION-F (space
|
||||
&aux (ls-hat-u-t (ls-hat-u-t space))
|
||||
(cobar (cobar space)))
|
||||
&aux (ls-hat-u-t (ls-hat-u-t space))
|
||||
(cobar (cobar space)))
|
||||
(declare
|
||||
(type simplicial-set space)
|
||||
(type chain-complex ls-hat-u-t cobar))
|
||||
(the morphism
|
||||
(build-mrph
|
||||
:sorc ls-hat-u-t :trgt cobar :degr 0
|
||||
:intr #'ls-pre-left-hmeq-right-reduction-intr-f
|
||||
:strt :cmbn
|
||||
:orgn `(ls-pre-left-hmeq-right-reduction-f ,space))))
|
||||
:sorc ls-hat-u-t :trgt cobar :degr 0
|
||||
:intr #'ls-pre-left-hmeq-right-reduction-intr-f
|
||||
:strt :cmbn
|
||||
:orgn `(ls-pre-left-hmeq-right-reduction-f ,space))))
|
||||
|
||||
|
||||
(DEFUN LS-PRE-LEFT-HMEQ-RIGHT-REDUCTION-INTR-G (bspn)
|
||||
(declare (type gmsm bspn))
|
||||
(flet ((rslt (cmbn)
|
||||
(declare (type cmbn cmbn))
|
||||
(the cmbn
|
||||
(declare (type cmbn cmbn))
|
||||
(the cmbn
|
||||
(with-cmbn
|
||||
(degr list) cmbn
|
||||
(let ((bsgn (tnpr 0 bspn 0 +null-loop+)))
|
||||
(declare (type tnpr bsgn))
|
||||
(make-cmbn :degr degr
|
||||
:list (mapcar
|
||||
#'(lambda (term)
|
||||
(declare (type term term))
|
||||
(with-term
|
||||
(cffc gnrt) term
|
||||
(term cffc (tnpr degr gnrt 0
|
||||
bsgn))))
|
||||
list)))))))
|
||||
(degr list) cmbn
|
||||
(let ((bsgn (tnpr 0 bspn 0 +null-loop+)))
|
||||
(declare (type tnpr bsgn))
|
||||
(make-cmbn :degr degr
|
||||
:list (mapcar
|
||||
#'(lambda (term)
|
||||
(declare (type term term))
|
||||
(with-term
|
||||
(cffc gnrt) term
|
||||
(term cffc (tnpr degr gnrt 0
|
||||
bsgn))))
|
||||
list)))))))
|
||||
(the intr-mrph #'rslt)))
|
||||
|
||||
|
||||
(DEFUN LS-PRE-LEFT-HMEQ-RIGHT-REDUCTION-G (space
|
||||
&aux (ls-hat-u-t (ls-hat-u-t space))
|
||||
(cobar (cobar space))
|
||||
(bspn (bspn space)))
|
||||
&aux (ls-hat-u-t (ls-hat-u-t space))
|
||||
(cobar (cobar space))
|
||||
(bspn (bspn space)))
|
||||
(declare
|
||||
(type simplicial-set space)
|
||||
(type chain-complex ls-hat-u-t cobar)
|
||||
(type gmsm bspn))
|
||||
(the morphism
|
||||
(build-mrph
|
||||
:sorc cobar :trgt ls-hat-u-t :degr 0
|
||||
:intr (ls-pre-left-hmeq-right-reduction-intr-g bspn)
|
||||
:strt :cmbn
|
||||
:orgn `(ls-pre-left-hmeq-right-reduction-g ,space))))
|
||||
:sorc cobar :trgt ls-hat-u-t :degr 0
|
||||
:intr (ls-pre-left-hmeq-right-reduction-intr-g bspn)
|
||||
:strt :cmbn
|
||||
:orgn `(ls-pre-left-hmeq-right-reduction-g ,space))))
|
||||
|
||||
(DEFUN LS-PRE-LEFT-HMEQ-RIGHT-REDUCTION-H (space
|
||||
&aux (cobar (cobar space))
|
||||
(tnpr-contraction
|
||||
(tnpr-contraction space)))
|
||||
&aux (cobar (cobar space))
|
||||
(tnpr-contraction
|
||||
(tnpr-contraction space)))
|
||||
(declare
|
||||
(type simplicial-set space)
|
||||
(type chain-complex cobar)
|
||||
@ -404,18 +404,18 @@
|
||||
(declare (type simplicial-set space))
|
||||
(the reduction
|
||||
(build-rdct
|
||||
:f (ls-pre-left-hmeq-right-reduction-f space)
|
||||
:g (ls-pre-left-hmeq-right-reduction-g space)
|
||||
:h (ls-pre-left-hmeq-right-reduction-h space)
|
||||
:orgn `(ls-pre-left-hmeq-right-reduction ,space))))
|
||||
:f (ls-pre-left-hmeq-right-reduction-f space)
|
||||
:g (ls-pre-left-hmeq-right-reduction-g space)
|
||||
:h (ls-pre-left-hmeq-right-reduction-h space)
|
||||
:orgn `(ls-pre-left-hmeq-right-reduction ,space))))
|
||||
|
||||
|
||||
(DEFUN LS-LEFT-HMEQ-RIGHT-REDUCTION (space
|
||||
&aux (pre-reduction
|
||||
(ls-pre-left-hmeq-right-reduction
|
||||
space))
|
||||
(perturbation
|
||||
(ls-hat-left-perturbation space)))
|
||||
&aux (pre-reduction
|
||||
(ls-pre-left-hmeq-right-reduction
|
||||
space))
|
||||
(perturbation
|
||||
(ls-hat-left-perturbation space)))
|
||||
(declare
|
||||
(type simplicial-set space)
|
||||
(type reduction pre-reduction)
|
||||
@ -431,15 +431,15 @@
|
||||
(declare (type simplicial-set space))
|
||||
(the homotopy-equivalence
|
||||
(build-hmeq
|
||||
:lrdct (ls-left-hmeq-left-reduction space)
|
||||
:rrdct (ls-left-hmeq-right-reduction space)
|
||||
:orgn `(ls-left-hmeq ,space))))
|
||||
:lrdct (ls-left-hmeq-left-reduction space)
|
||||
:rrdct (ls-left-hmeq-right-reduction space)
|
||||
:orgn `(ls-left-hmeq ,space))))
|
||||
|
||||
|
||||
(DEFUN LOOP-SPACE-EFHM (space)
|
||||
(declare (type simplicial-set space))
|
||||
(let ((ls-left-hmeq (ls-left-hmeq space))
|
||||
(right-hmeq (cobar (efhm space))))
|
||||
(right-hmeq (cobar (efhm space))))
|
||||
(declare (type homotopy-equivalence ls-left-hmeq right-hmeq))
|
||||
(cmps ls-left-hmeq right-hmeq)))
|
||||
|
||||
|
||||
@ -1,198 +1,173 @@
|
||||
|
||||
(in-package :kenzo-test)
|
||||
|
||||
(in-suite :kenzo)
|
||||
|
||||
#|
|
||||
|
||||
(test ls-hat-t-u
|
||||
(cat:cat-init)
|
||||
(let ((c (cat:ls-hat-t-u (cat:deltab)))
|
||||
allp allp-degr gnrt)
|
||||
(dotimes (i 10) (print (random-allp 5)))
|
||||
(setf allp (random-allp 4)) ;; the degree could be too big
|
||||
;; then redo
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 4
|
||||
(cat:tnpr 2 7 2 (cat:loop3 0 15 2))))
|
||||
(cat:? c (+ 4 allp-degr) gnrt)
|
||||
(cat:? c *)
|
||||
(dotimes (i 10)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 4
|
||||
(cat:tnpr 2 7 2 (cat:loop3 0 15 2))))
|
||||
(unless (>= allp-degr 11)
|
||||
(print (cat:? c (+ 4 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 4 allp-degr) gnrt))))))
|
||||
(dotimes (i 20)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 5
|
||||
(cat:tnpr 3 15 2 (cat:loop3 0 15 2))))
|
||||
(unless (>= allp-degr 10)
|
||||
(print (cat:? c (+ 5 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 5 allp-degr) gnrt))))))
|
||||
(dotimes (i 20)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 5
|
||||
(cat:tnpr 2 7 3 (cat:loop3 0 31 2))))
|
||||
(unless (>= allp-degr 10)
|
||||
(print (cat:? c (+ 5 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 5 allp-degr) gnrt))))))))
|
||||
|#
|
||||
allp allp-degr gnrt)
|
||||
(dotimes (i 10)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 4
|
||||
(cat:tnpr 2 7 2 (cat:loop3 0 15 2))))
|
||||
(unless (>= allp-degr 11)
|
||||
(print (cat:? c (+ 4 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 4 allp-degr) gnrt))))))
|
||||
(dotimes (i 20)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 5
|
||||
(cat:tnpr 3 15 2 (cat:loop3 0 15 2))))
|
||||
(unless (>= allp-degr 10)
|
||||
(print (cat:? c (+ 5 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 5 allp-degr) gnrt))))))
|
||||
(dotimes (i 20)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 5
|
||||
(cat:tnpr 2 7 3 (cat:loop3 0 31 2))))
|
||||
(unless (>= allp-degr 10)
|
||||
(print (cat:? c (+ 5 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 5 allp-degr) gnrt))))))))
|
||||
|
||||
|
||||
#|
|
||||
(test ls-hat-u-t
|
||||
(cat:cat-init)
|
||||
(let ((c (cat:ls-hat-u-t (cat:deltab)))
|
||||
allp allp-degr gnrt)
|
||||
(dotimes (i 10) (print (random-allp 5)))
|
||||
(setf allp (random-allp 3))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 4
|
||||
(cat:tnpr 2 7 2 (cat:loop3 0 15 2))))
|
||||
(cat:? c (+ 4 allp-degr) gnrt)
|
||||
(cat:? c *)
|
||||
(dotimes (i 10)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 4
|
||||
(cat:tnpr 2 7 2 (cat:loop3 0 15 2))))
|
||||
(unless (>= allp-degr 11)
|
||||
(print (cat:? c (+ 4 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 4 allp-degr) gnrt))))))
|
||||
(dotimes (i 20)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 5
|
||||
(cat:tnpr 3 15 2 (cat:loop3 0 15 2))))
|
||||
(unless (>= allp-degr 10)
|
||||
(print (cat:? c (+ 5 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 5 allp-degr) gnrt))))))
|
||||
(dotimes (i 20)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 5
|
||||
(cat:tnpr 2 7 3 (cat:loop3 0 31 2))))
|
||||
(unless (>= allp-degr 10)
|
||||
(print (cat:? c (+ 5 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 5 allp-degr) gnrt))))))))
|
||||
|#
|
||||
allp allp-degr gnrt)
|
||||
(dotimes (i 10)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 4
|
||||
(cat:tnpr 2 7 2 (cat:loop3 0 15 2))))
|
||||
(unless (>= allp-degr 11)
|
||||
(print (cat:? c (+ 4 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 4 allp-degr) gnrt))))))
|
||||
(dotimes (i 20)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 5
|
||||
(cat:tnpr 3 15 2 (cat:loop3 0 15 2))))
|
||||
(unless (>= allp-degr 10)
|
||||
(print (cat:? c (+ 5 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 5 allp-degr) gnrt))))))
|
||||
(dotimes (i 20)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 5
|
||||
(cat:tnpr 2 7 3 (cat:loop3 0 31 2))))
|
||||
(unless (>= allp-degr 10)
|
||||
(print (cat:? c (+ 5 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 5 allp-degr) gnrt))))))))
|
||||
|
||||
|
||||
#|
|
||||
(test ls-left-hmeq-hat
|
||||
(cat:cat-init)
|
||||
(let ((c (cat:ls-left-hmeq-hat (cat:deltab)))
|
||||
allp allp-degr gnrt)
|
||||
(dotimes (i 10) (print (random-allp 5)))
|
||||
(setf allp (random-allp 3))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 4 (cat:tnpr 2 7 2
|
||||
(cat:loop3 0 15 2))))
|
||||
(cat:? c (+ 4 allp-degr) gnrt)
|
||||
(cat:? c (cat:? c (+ 4 allp-degr) gnrt))
|
||||
(dotimes (i 10)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 4
|
||||
(cat:tnpr 2 7 2 (cat:loop3 0 15 2))))
|
||||
(unless (>= allp-degr 11)
|
||||
(print (cat:? c (+ 4 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 4 allp-degr) gnrt))))))
|
||||
(dotimes (i 20)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 5
|
||||
(cat:tnpr 3 15 2 (cat:loop3 0 15 2))))
|
||||
(unless (>= allp-degr 10)
|
||||
(print (cat:? c (+ 5 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 5 allp-degr) gnrt))))))
|
||||
(dotimes (i 20)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 5
|
||||
(cat:tnpr 2 7 3 (cat:loop3 0 31 2))))
|
||||
(unless (>= allp-degr 10)
|
||||
(print (cat:? c (+ 5 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 5 allp-degr) gnrt))))))))
|
||||
|#
|
||||
allp allp-degr gnrt)
|
||||
(dotimes (i 10)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 4
|
||||
(cat:tnpr 2 7 2 (cat:loop3 0 15 2))))
|
||||
(unless (>= allp-degr 11)
|
||||
(print (cat:? c (+ 4 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 4 allp-degr) gnrt))))))
|
||||
(dotimes (i 20)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 5
|
||||
(cat:tnpr 3 15 2 (cat:loop3 0 15 2))))
|
||||
(unless (>= allp-degr 10)
|
||||
(print (cat:? c (+ 5 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 5 allp-degr) gnrt))))))
|
||||
(dotimes (i 20)
|
||||
(let ((allp (random-allp 3)))
|
||||
(setf allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(setf gnrt (cat:tnpr allp-degr allp 5
|
||||
(cat:tnpr 2 7 3 (cat:loop3 0 31 2))))
|
||||
(unless (>= allp-degr 10)
|
||||
(print (cat:? c (+ 5 allp-degr) gnrt))
|
||||
(print (cat:? c (cat:? c (+ 5 allp-degr) gnrt))))))))
|
||||
|
||||
|
||||
(test ls-pre-left-hmeq-left-reduction-intr-f
|
||||
(cat:ls-pre-left-hmeq-left-reduction-intr-f
|
||||
(cat:cmbn 6 100 (cat:tnpr 0 'a 6 (cat:tnpr 0 'b 6 'c))
|
||||
50 (cat:tnpr 0 'a 6 (cat:tnpr 0 'b 6 'cc))
|
||||
10 (cat:tnpr 0 'a 6 (cat:tnpr 2 'b 4 'c))
|
||||
1 (cat:tnpr 2 'a 4 (cat:tnpr 2 'b 2 'cc)))))
|
||||
50 (cat:tnpr 0 'a 6 (cat:tnpr 0 'b 6 'cc))
|
||||
10 (cat:tnpr 0 'a 6 (cat:tnpr 2 'b 4 'c))
|
||||
1 (cat:tnpr 2 'a 4 (cat:tnpr 2 'b 2 'cc)))))
|
||||
|
||||
|
||||
(test ls-left-hmeq-left-reduction-g-intr
|
||||
(let ((r (cat:ls-left-hmeq-left-reduction-g-intr '*)))
|
||||
(funcall r (cat:cmbn 3 4 'loop))))
|
||||
(funcall r (cat:cmbn 3 4 'loop))))
|
||||
|
||||
|
||||
(test ls-pre-left-hmeq-left-reduction-h-intr
|
||||
(cat:cat-init)
|
||||
(let ((r (cat:ls-pre-left-hmeq-left-reduction-h-intr (cat:deltab))))
|
||||
(setf cat:*tnpr-with-degrees* t)
|
||||
(funcall r (cat:cmbn 10 1 (cat:tnpr 3 (cat:allp 2 'a 1 'b)
|
||||
7 (cat:tnpr 5 'c 2 'd))
|
||||
1 (cat:tnpr 7 (cat:allp 2 'a 5 'b)
|
||||
3 (cat:tnpr 0 '* 3 'c))
|
||||
10 (cat:tnpr 8 (cat:allp 4 'aa 4 'bb)
|
||||
2 (cat:tnpr 0 '* 2 'cc))))
|
||||
(funcall r (cat:cmbn 10 1 (cat:tnpr 3 (cat:allp 2 'a 1 'b)
|
||||
7 (cat:tnpr 5 'c 2 'd))
|
||||
1 (cat:tnpr 7 (cat:allp 4 'a 3 'b)
|
||||
3 (cat:tnpr 0 '* 3 'c))
|
||||
10 (cat:tnpr 8 (cat:allp 3 'aa 5 'bb)
|
||||
2 (cat:tnpr 0 '* 2 'cc))))
|
||||
(setf cat:*tnpr-with-degrees* nil)))
|
||||
(setf cat:*tnpr-with-degrees* t)
|
||||
(funcall r (cat:cmbn 10 1 (cat:tnpr 3 (cat:allp 2 'a 1 'b)
|
||||
7 (cat:tnpr 5 'c 2 'd))
|
||||
1 (cat:tnpr 7 (cat:allp 2 'a 5 'b)
|
||||
3 (cat:tnpr 0 '* 3 'c))
|
||||
10 (cat:tnpr 8 (cat:allp 4 'aa 4 'bb)
|
||||
2 (cat:tnpr 0 '* 2 'cc))))
|
||||
(funcall r (cat:cmbn 10 1 (cat:tnpr 3 (cat:allp 2 'a 1 'b)
|
||||
7 (cat:tnpr 5 'c 2 'd))
|
||||
1 (cat:tnpr 7 (cat:allp 4 'a 3 'b)
|
||||
3 (cat:tnpr 0 '* 3 'c))
|
||||
10 (cat:tnpr 8 (cat:allp 3 'aa 5 'bb)
|
||||
2 (cat:tnpr 0 '* 2 'cc))))
|
||||
(setf cat:*tnpr-with-degrees* nil)))
|
||||
|
||||
#|
|
||||
(test ls-pre-left-hmeq-left-reduction
|
||||
(cat:cat-init)
|
||||
(let* ((rdct (cat:ls-pre-left-hmeq-left-reduction (cat:deltab)))
|
||||
(allp (random-allp 3))
|
||||
(allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(gnrt (cat:tnpr allp-degr allp 4 (cat:tnpr 2 7 2
|
||||
(cat:loop3 0 15 2)))))
|
||||
(cat:pre-check-rdct rdct)
|
||||
(setf cat:*tc* (cat:cmbn (+ 4 allp-degr) 1 gnrt))
|
||||
(setf cat:*bc* (cat:cmbn 2 1 (cat:loop3 0 15 2)))
|
||||
(check-rdct)
|
||||
(setf gnrt (cat:tnpr allp-degr allp 4
|
||||
(cat:tnpr 0 1 4 (cat:loop3 0 (cat:mask 6) 2))))
|
||||
(setf cat:*tc* (cat:cmbn (+ 4 allp-degr) 1 gnrt))
|
||||
(check-rdct)
|
||||
(setf cat:*bc* (cat:cmbn 0 1 (cat:bspn (cat:bcc rdct))))
|
||||
(setf cat:*tc* (cat:cmbn 0 1 (cat:bsgn (cat:tcc rdct))))
|
||||
(check-rdct)))
|
||||
(allp (random-allp 3))
|
||||
(allp-degr (apply #'+ (mapcar #'car (cat:allp-list allp))))
|
||||
(gnrt (cat:tnpr allp-degr allp 4 (cat:tnpr 2 7 2
|
||||
(cat:loop3 0 15 2)))))
|
||||
(cat:pre-check-rdct rdct)
|
||||
(setf cat:*tc* (cat:cmbn (+ 4 allp-degr) 1 gnrt))
|
||||
(setf cat:*bc* (cat:cmbn 2 1 (cat:loop3 0 15 2)))
|
||||
(check-rdct)
|
||||
(setf gnrt (cat:tnpr allp-degr allp 4
|
||||
(cat:tnpr 0 1 4 (cat:loop3 0 (cat:mask 6) 2))))
|
||||
(setf cat:*tc* (cat:cmbn (+ 4 allp-degr) 1 gnrt))
|
||||
(check-rdct)
|
||||
(setf cat:*bc* (cat:cmbn 0 1 (cat:bspn (cat:bcc rdct))))
|
||||
(setf cat:*tc* (cat:cmbn 0 1 (cat:bsgn (cat:tcc rdct))))
|
||||
(check-rdct)))
|
||||
|#
|
||||
|
||||
(defun a (d1 d2 d3)
|
||||
(setf cat:*tc* (cat:cmbn (+ d1 d2 d3)
|
||||
1 (cat:tnpr
|
||||
d1 (cat:allp d1 (cat:mask (+ d1 2)))
|
||||
(+ d2 d3)
|
||||
(cat:tnpr d2 (cat:mask (1+ d2))
|
||||
d3 (cat:loop3
|
||||
0 (cat:mask (+ d3 2)) 1))))
|
||||
cat:*bc* (cat:cmbn d3 1 (cat:loop3 0 (cat:mask (+ d3 2)) -1)))
|
||||
1 (cat:tnpr
|
||||
d1 (cat:allp d1 (cat:mask (+ d1 2)))
|
||||
(+ d2 d3)
|
||||
(cat:tnpr d2 (cat:mask (1+ d2))
|
||||
d3 (cat:loop3
|
||||
0 (cat:mask (+ d3 2)) 1))))
|
||||
cat:*bc* (cat:cmbn d3 1 (cat:loop3 0 (cat:mask (+ d3 2)) -1)))
|
||||
(check-rdct))
|
||||
|
||||
|
||||
(test ls-left-hmeq-left-reduction
|
||||
(cat:cat-init)
|
||||
(let ((rdct (cat:ls-left-hmeq-left-reduction (cat:deltab2))))
|
||||
(cat:pre-check-rdct rdct)
|
||||
#|
|
||||
(a 1 0 1)
|
||||
(a 1 1 1) ;; error because 3 does not exist in deltab2
|
||||
(a 1 2 1)
|
||||
(a 2 2 1)
|
||||
|#
|
||||
)
|
||||
(cat:pre-check-rdct rdct)
|
||||
#|
|
||||
(a 1 0 1)
|
||||
(a 1 1 1) ;; error because 3 does not exist in deltab2
|
||||
(a 1 2 1)
|
||||
(a 2 2 1)
|
||||
|#
|
||||
)
|
||||
)
|
||||
|
||||
|
||||
@ -203,86 +178,86 @@
|
||||
|
||||
(test ls-pre-left-hmeq-right-reduction-intr-g
|
||||
(let ((r (cat:ls-pre-left-hmeq-right-reduction-intr-g '*)))
|
||||
(funcall r (cat:cmbn 3 4 'a))))
|
||||
(funcall r (cat:cmbn 3 4 'a))))
|
||||
|
||||
|
||||
(test ls-pre-left-hmeq-right-reduction
|
||||
(cat:cat-init)
|
||||
(let ((r (cat:ls-pre-left-hmeq-right-reduction (cat:deltab2))))
|
||||
(cat:pre-check-rdct r)
|
||||
(setf cat:*tc* (cat:cmbn 0 1 (cat:bsgn (cat:tcc r))))
|
||||
(setf cat:*bc* (cat:cmbn 0 1 (cat:bsgn (cat:bcc r))))
|
||||
(check-rdct)
|
||||
#|
|
||||
(setf cat:*tc* (cat:cmbn
|
||||
3 1 (cat:tnpr 3 (cat:allp 3 (cat:mask 5))
|
||||
0 (cat:tnpr 0 1 0 cat:+null-loop+))))
|
||||
(setf cat:*bc* (cat:cmbn 3 1 (cat:allp 1 7 2 15)))
|
||||
(check-rdct)
|
||||
(setf cat:*tc* (cat:cmbn
|
||||
6 1 (cat:tnpr 3 (cat:allp 1 7 2 15)
|
||||
3 (cat:tnpr 2 7 1 (cat:loop3 0 7 2)))))
|
||||
(check-rdct)
|
||||
(setf cat:*tc* (cat:cmbn
|
||||
6 1 (cat:tnpr
|
||||
3 (cat:allp 1 7 2 15)
|
||||
3 (cat:tnpr 0 1 3
|
||||
(cat:loop3 0 (cat:mask 5) 2)))))
|
||||
(check-rdct)
|
||||
|#
|
||||
))
|
||||
(cat:pre-check-rdct r)
|
||||
(setf cat:*tc* (cat:cmbn 0 1 (cat:bsgn (cat:tcc r))))
|
||||
(setf cat:*bc* (cat:cmbn 0 1 (cat:bsgn (cat:bcc r))))
|
||||
(check-rdct)
|
||||
#|
|
||||
(setf cat:*tc* (cat:cmbn
|
||||
3 1 (cat:tnpr 3 (cat:allp 3 (cat:mask 5))
|
||||
0 (cat:tnpr 0 1 0 cat:+null-loop+))))
|
||||
(setf cat:*bc* (cat:cmbn 3 1 (cat:allp 1 7 2 15)))
|
||||
(check-rdct)
|
||||
(setf cat:*tc* (cat:cmbn
|
||||
6 1 (cat:tnpr 3 (cat:allp 1 7 2 15)
|
||||
3 (cat:tnpr 2 7 1 (cat:loop3 0 7 2)))))
|
||||
(check-rdct)
|
||||
(setf cat:*tc* (cat:cmbn
|
||||
6 1 (cat:tnpr
|
||||
3 (cat:allp 1 7 2 15)
|
||||
3 (cat:tnpr 0 1 3
|
||||
(cat:loop3 0 (cat:mask 5) 2)))))
|
||||
(check-rdct)
|
||||
|#
|
||||
))
|
||||
|
||||
|
||||
(test ls-left-hmeq-right-reduction
|
||||
(cat:cat-init)
|
||||
(let ((r (cat:ls-left-hmeq-right-reduction (cat:deltab2))))
|
||||
(cat:pre-check-rdct r)
|
||||
(setf cat:*tc* (cat:cmbn 0 1 (cat:bsgn (cat:tcc r))))
|
||||
(setf cat:*bc* (cat:cmbn 0 1 (cat:bsgn (cat:bcc r))))
|
||||
(check-rdct)
|
||||
#|
|
||||
(setf cat:*tc* (cat:cmbn 3 1 (cat:tnpr 3 (cat:allp 3 (cat:mask 5))
|
||||
0 (cat:tnpr 0 1 0
|
||||
cat:+null-loop+))))
|
||||
(setf cat:*bc* (cat:cmbn 3 1 (cat:allp 1 7 2 15)))
|
||||
(check-rdct)
|
||||
(setf cat:*tc* (cat:cmbn
|
||||
6 1 (cat:tnpr 3 (cat:allp 1 7 2 15)
|
||||
3 (cat:tnpr 2 7 1 (cat:loop3 0 7 2)))))
|
||||
(check-rdct)
|
||||
(setf cat:*tc* (cat:cmbn
|
||||
6 1 (cat:tnpr 3 (cat:allp 1 7 2 15)
|
||||
3 (cat:tnpr 0 1 3
|
||||
(cat:loop3 0 (mask 5) 2)))))
|
||||
(check-rdct)
|
||||
|#
|
||||
))
|
||||
(cat:pre-check-rdct r)
|
||||
(setf cat:*tc* (cat:cmbn 0 1 (cat:bsgn (cat:tcc r))))
|
||||
(setf cat:*bc* (cat:cmbn 0 1 (cat:bsgn (cat:bcc r))))
|
||||
(check-rdct)
|
||||
#|
|
||||
(setf cat:*tc* (cat:cmbn 3 1 (cat:tnpr 3 (cat:allp 3 (cat:mask 5))
|
||||
0 (cat:tnpr 0 1 0
|
||||
cat:+null-loop+))))
|
||||
(setf cat:*bc* (cat:cmbn 3 1 (cat:allp 1 7 2 15)))
|
||||
(check-rdct)
|
||||
(setf cat:*tc* (cat:cmbn
|
||||
6 1 (cat:tnpr 3 (cat:allp 1 7 2 15)
|
||||
3 (cat:tnpr 2 7 1 (cat:loop3 0 7 2)))))
|
||||
(check-rdct)
|
||||
(setf cat:*tc* (cat:cmbn
|
||||
6 1 (cat:tnpr 3 (cat:allp 1 7 2 15)
|
||||
3 (cat:tnpr 0 1 3
|
||||
(cat:loop3 0 (mask 5) 2)))))
|
||||
(check-rdct)
|
||||
|#
|
||||
))
|
||||
|
||||
|
||||
#|
|
||||
(test ls-left-hmeq
|
||||
(cat:cat-init)
|
||||
(let* ((h (cat:ls-left-hmeq (cat:deltab2)))
|
||||
(loop (cat:loop3 0 (cat:mask 5) 2))
|
||||
(allp (cat:allp 2 (cat:mask 4) 3 (cat:mask 5)))
|
||||
x)
|
||||
(setf x (cat:lg h 3 loop))
|
||||
(setf x (cat:rf h x))
|
||||
(setf x (cat:rg h x))
|
||||
(setf x (cat:lf h x))
|
||||
(setf x (cat:rg h 5 allp))
|
||||
(setf x (cat:lf h x))
|
||||
(setf x (cat:lg h x))
|
||||
(setf x (cat:rf h x)) ;; = allp, but why ?
|
||||
))
|
||||
(loop (cat:loop3 0 (cat:mask 5) 2))
|
||||
(allp (cat:allp 2 (cat:mask 4) 3 (cat:mask 5)))
|
||||
x)
|
||||
(setf x (cat:lg h 3 loop))
|
||||
(setf x (cat:rf h x))
|
||||
(setf x (cat:rg h x))
|
||||
(setf x (cat:lf h x))
|
||||
(setf x (cat:rg h 5 allp))
|
||||
(setf x (cat:lf h x))
|
||||
(setf x (cat:lg h x))
|
||||
(setf x (cat:rf h x)) ;; = allp, but why ?
|
||||
))
|
||||
|#
|
||||
|
||||
(test loop-space
|
||||
(cat:cat-init)
|
||||
(let ((l (cat:loop-space (cat:sphere 2)))
|
||||
(oos3 (cat:loop-space (cat:loop-space (cat:sphere 3))))
|
||||
(ooos4 (cat:loop-space (cat:loop-space (cat:loop-space
|
||||
(cat:sphere 4))))))
|
||||
(cat:homology l 6)
|
||||
(cat:homology oos3 3)
|
||||
(cat:homology ooos4 2)))
|
||||
(oos3 (cat:loop-space (cat:loop-space (cat:sphere 3))))
|
||||
(ooos4 (cat:loop-space (cat:loop-space (cat:loop-space
|
||||
(cat:sphere 4))))))
|
||||
(cat:homology l 6)
|
||||
(cat:homology oos3 3)
|
||||
(cat:homology ooos4 2)))
|
||||
|
||||
Loading…
Reference in New Issue
Block a user