Toggle navigation
?
users online
Logout
Open hangout
Open chat for current file
% Space Syntax with Prolog % Pedro Afonso Fernandes (paf@ucp.pt) % March 2021 % Knowledge base: Areeiro urban settlement (Lisbon, Portugal) connected(rua_oliveira_martins,av_sao_joao_de_deus,1). connected(rua_oliveira_martins,av_sacadura_cabral,1). connected(rua_oliveira_martins,rua_edison,1). connected(rua_oliveira_martins,av_joao_xxi,1). connected(av_sao_joao_de_deus,av_roma,1). connected(av_sao_joao_de_deus,av_madrid_W,1). connected(av_sao_joao_de_deus,pc_afranio_peixoto_W,1). connected(av_sao_joao_de_deus,pc_afranio_peixoto_E,1). connected(pc_afranio_peixoto_S,pc_afranio_peixoto_W,1). connected(pc_afranio_peixoto_S,pc_afranio_peixoto_E,1). connected(av_sao_joao_de_deus,av_padre_manuel_nobrega,1). connected(av_sao_joao_de_deus,rua_agostinho_lourenco,1). connected(av_sacadura_cabral,av_roma,1). connected(rua_edison,av_roma,1). connected(rua_edison,av_madrid_W,1). connected(av_joao_xxi,av_roma,1). connected(av_joao_xxi,rua_pres_wilson,1). connected(av_joao_xxi,av_alm_gago_coutinho_S,1). connected(av_roma,piscina,1). connected(av_roma,jardim_fernando_pessa,1). connected(av_roma,av_guerra_junqueiro,1). connected(av_roma,av_marconi,1). connected(av_roma,rua_fernando_pedroso,1). connected(av_roma,jardim_irma_lucia,1). connected(av_roma,av_manuel_da_maia,1). connected(av_roma,av_mexico,1). connected(rua_bras_pacheco,av_marconi,1). connected(rua_bras_pacheco,rua_fernando_pedroso,1). connected(rua_bras_pacheco,jardim_irma_lucia,1). connected(rua_bras_pacheco,av_mexico,1). connected(av_manuel_da_maia,av_mexico,1). connected(av_manuel_da_maia,al_dom_afonso_henriques,1). connected(av_guerra_junqueiro,av_marconi,1). connected(av_guerra_junqueiro,av_paris_W,1). connected(av_guerra_junqueiro,av_mexico,1). connected(av_guerra_junqueiro,al_dom_afonso_henriques,1). connected(jardim_fernando_pessa,rua_pres_wilson,1). connected(jardim_fernando_pessa,cinema_W,1). connected(jardim_fernando_pessa,cinema_E,1). connected(cinema_N,cinema_W,1). connected(cinema_N,cinema_E,1). connected(av_madrid_E,av_madrid_W,1). connected(av_madrid_E,logradouro_N,1). connected(av_madrid_E,rua_pres_wilson,1). connected(av_madrid_E,escola,1). connected(av_madrid_E,av_padre_manuel_nobrega,1). connected(escola,av_padre_manuel_nobrega,1). connected(escola,rua_vitor_hugo,1). connected(rua_vitor_hugo,av_padre_manuel_nobrega,1). connected(rua_vitor_hugo,rua_agostinho_lourenco,1). connected(rua_vitor_hugo,av_alm_gago_coutinho_S,1). connected(av_alm_gago_coutinho_N,av_alm_gago_coutinho_S,1). connected(rua_agostinho_lourenco,av_alm_gago_coutinho_S,1). connected(rua_agostinho_lourenco,av_afonso_costa,1). connected(av_padre_manuel_nobrega,av_afonso_costa,1). connected(av_padre_manuel_nobrega,av_alm_gago_coutinho_S,1). connected(pc_areeiro,av_alm_gago_coutinho_S,1). connected(pc_areeiro,av_padre_manuel_nobrega,1). connected(pc_areeiro,av_almirante_reis,1). connected(logradouro_S,rua_pres_wilson,1). connected(av_paris_E,rua_pres_wilson,1). connected(av_paris_E,av_paris_W,1). connected(av_paris_E,pc_pasteur_W,1). connected(av_paris_E,pc_pasteur_E,1). connected(pc_pasteur_S,pc_pasteur_W,1). connected(pc_pasteur_S,pc_pasteur_E,1). connected(av_paris_E,av_almirante_reis,1). connected(al_dom_afonso_henriques,av_almirante_reis,1). connected(pc_joao_do_rio_N,av_almirante_reis,1). connected(pc_joao_do_rio_S,av_almirante_reis,1). connected(pc_joao_do_rio_N,pc_joao_do_rio_W,1). connected(pc_joao_do_rio_S,pc_joao_do_rio_W,1). % Space Syntax measures: adjacent(X,Y,1):-connected(X,Y,1). adjacent(X,Y,1):-connected(Y,X,1). connectivity(X,Y,AC):-aggregate_all(count,adjacent(X,Y,1),AC). control(X,Y,E):-aggregate_all(sum(G),(adjacent(X,Z,1),connectivity(Z,Y,AC),G is 1/AC),E). depth(X,Y,1):-adjacent(X,Y,1). depth(X,Y,2):-adjacent(X,Z,1),depth(Z,Y,1),dif(X,Y). depth(X,Y,3):-adjacent(X,Z,1),depth(Z,Y,2),dif(X,Y). depth(X,Y,4):-adjacent(X,Z,1),depth(Z,Y,3),dif(X,Y). depth(X,Y,5):-adjacent(X,Z,1),depth(Z,Y,4),dif(X,Y). depth(X,Y,6):-adjacent(X,Z,1),depth(Z,Y,5),dif(X,Y). depth(X,Y,7):-adjacent(X,Z,1),depth(Z,Y,6),dif(X,Y). depth(X,Y,8):-adjacent(X,Z,1),depth(Z,Y,7),dif(X,Y). depth(X,Y,9):-adjacent(X,Z,1),depth(Z,Y,8),dif(X,Y). graph(X,Y,D):-distinct([Y],depth(X,Y,D)). controllability(X,Y,Z,F):-connectivity(X,Y,AC),aggregate_all(count,graph(X,Z,2),D2),F is AC/(AC+D2). totdepth(X,Y,TD):-aggregate_all(sum(D),graph(X,Y,D),TD). nodes(X,Y,D,N):-aggregate_all(count,graph(X,Y,D),N). meandepth(X,Y,D,MD):-totdepth(X,Y,TD),nodes(X,Y,D,N), MD is TD/N. integration(X,Y,D,I):-meandepth(X,Y,D,MD), I is 1/MD. asymmetry(X,Y,D,RA):-totdepth(X,Y,TD),nodes(X,Y,D,N), RA is 2*(TD/N-1)/(N-1). dvalue(K,DV):-DV is 2*(K*(log((K+2)/3)/log(2)-1)+1)/((K-1)*(K-2)). rra(X,Y,D,RRA):-asymmetry(X,Y,D,RA),nodes(X,Y,D,N),dvalue(N+1,DV), RRA is RA/DV. integrationHH(X,Y,D,IHH):-rra(X,Y,D,RRA), IHH is 1/RRA. % Local measures for radius R: rdepth(X,Y,D,R):-depth(X,Y,D), D =< R. rgraph(X,Y,D,R):-distinct([Y],rdepth(X,Y,D,R)). rtotdepth(X,Y,TD,R):-aggregate_all(sum(D),rgraph(X,Y,D,R),TD). rnodes(X,Y,D,N,R):-aggregate_all(count,rgraph(X,Y,D,R),N). rmeandepth(X,Y,D,MD,R):-rtotdepth(X,Y,TD,R),rnodes(X,Y,D,N,R), MD is TD/N. rintegration(X,Y,D,I,R):-rmeandepth(X,Y,D,MD,R), I is 1/MD. rasymmetry(X,Y,D,RA,R):-rtotdepth(X,Y,TD,R),rnodes(X,Y,D,N,R), RA is 2*(TD/N-1)/(N-1). rrra(X,Y,D,RRA,R):-rasymmetry(X,Y,D,RA,R),rnodes(X,Y,D,N,R),dvalue(N+1,DV), RRA is RA/DV. rintegrationHH(X,Y,D,IHH,R):-rrra(X,Y,D,RRA,R), IHH is 1/RRA. % Rings: graph2(X,Y,D):-distinct([Y],(depth(X,Y,D),D>1)). ring(X,Y,Z,D):-adjacent(X,Y,1),graph2(Y,X,D),connectivity(X,Z,AC), AC > 1. rings(X,Y,Z,D,R):-aggregate_all(count,(ring(X,Y,Z,D)),C), R is max(C-1,0). ringiness(X,Y,Z,RR):-rings(X,Y,Z,D,R),nodes(X,Y,D,N), RR is R/N. % Queries (examples): % adjacent(rua_oliveira_martins,Y,1). % connectivity(rua_oliveira_martins,Y,AC). % graph(rua_oliveira_martins,Y,D). % control(rua_oliveira_martins,Y,E). % controllability(rua_oliveira_martins,Y,Z,F). % totdepth(rua_oliveira_martins,Y,TD). % meandepth(rua_oliveira_martins,Y,D,MD). % integration(rua_oliveira_martins,Y,D,I). % asymmetry(rua_oliveira_martins,Y,D,RA). % rra(rua_oliveira_martins,Y,D,RRA). % integrationHH(rua_oliveira_martins,Y,D,IHH). % rgraph(rua_oliveira_martins,Y,D,3). % rintegration(rua_oliveira_martins,Y,D,I,3). % rasymmetry(rua_oliveira_martins,Y,D,RA,3). % ringiness(rua_oliveira_martins,Y,Z,RR).