Toggle navigation
?
users online
Logout
Open hangout
Open chat for current file
% Space Syntax with Prolog % Pedro Afonso Fernandes (paf@ucp.pt) % November 2021 % Knowledge base: Praça do Comércio and surroundings (Lisbon's downtown - Baixa, Portugal) connected(corpo_santo,tv_cotovelo,1). connected(corpo_santo,tv_ferragial,1). connected(corpo_santo,rua_arsenal,1). connected(corpo_santo,av_inf_dom_henrique,1). connected(corpo_santo,ribeira_naus,1). connected(tv_cotovelo,tv_ferragial,1). connected(calc_ferragial,rua_vitor_cordon,1). connected(calc_ferragial,tv_ferragial,1). connected(calc_ferragial,tv_cotovelo,1). connected(ribeira_naus,tv_cotovelo,1). connected(ribeira_naus,rua_arsenal,1). connected(ribeira_naus,av_inf_dom_henrique,1). connected(calc_sao_francisco_W,calc_sao_francisco_E,1). connected(calc_sao_francisco_W,rua_vitor_cordon,1). connected(arsenal_marinha,rua_comercio,1). connected(arsenal_marinha,rua_arsenal,1). connected(arsenal_marinha,av_inf_dom_henrique,1). connected(pc_municipio,rua_sao_juliao,1). connected(pc_municipio,rua_comercio,1). connected(pc_municipio,rua_arsenal,1). connected(rua_henriques_nogueira,rua_comercio,1). connected(rua_henriques_nogueira,rua_arsenal,1). connected(rua_nova_almada,esc_sto_esp_pedreira,1). connected(rua_nova_almada,rua_sao_nicolau,1). connected(rua_nova_almada,calc_sao_francisco_E,1). connected(rua_nova_almada,rua_conceicao,1). connected(rua_nova_almada,rua_sao_juliao,1). connected(rua_crucifixo,rua_vitoria,1). connected(rua_crucifixo,esc_sto_esp_pedreira,1). connected(rua_crucifixo,rua_sao_nicolau,1). connected(rua_crucifixo,rua_conceicao,1). connected(rua_aurea,rua_vitoria,1). connected(rua_aurea,rua_sao_nicolau,1). connected(rua_aurea,rua_conceicao,1). connected(rua_aurea,rua_sao_juliao,1). connected(rua_aurea,rua_comercio,1). connected(rua_aurea,rua_arsenal,1). connected(rua_aurea,av_inf_dom_henrique,1). connected(rua_sapateiros,rua_vitoria,1). connected(rua_sapateiros,rua_sao_nicolau,1). connected(rua_sapateiros,rua_conceicao,1). connected(rua_augusta,rua_vitoria,1). connected(rua_augusta,rua_sao_nicolau,1). connected(rua_augusta,rua_conceicao,1). connected(rua_augusta,rua_sao_juliao,1). connected(rua_augusta,rua_comercio,1). connected(rua_augusta,rua_arsenal,1). connected(rua_augusta,pc_comercio,1). connected(pc_comercio,rua_arsenal,1). connected(pc_comercio,av_inf_dom_henrique,1). connected(rua_correeiros,rua_vitoria,1). connected(rua_correeiros,rua_sao_nicolau,1). connected(rua_correeiros,rua_conceicao,1). connected(rua_prata,rua_vitoria,1). connected(rua_prata,rua_sao_nicolau,1). connected(rua_prata,rua_conceicao,1). connected(rua_prata,rua_sao_juliao,1). connected(rua_prata,rua_comercio,1). connected(rua_prata,rua_alfandega,1). connected(rua_prata,rua_arsenal,1). connected(rua_prata,av_inf_dom_henrique,1). connected(rua_prata,sul_sueste,1). connected(rua_douradores,rua_vitoria,1). connected(rua_douradores,rua_sao_nicolau,1). connected(rua_douradores,rua_conceicao,1). connected(rua_fanqueiros,rua_vitoria,1). connected(rua_fanqueiros,rua_sao_nicolau,1). connected(rua_fanqueiros,rua_conceicao,1). connected(rua_fanqueiros,rua_sao_juliao,1). connected(rua_fanqueiros,rua_comercio,1). connected(rua_fanqueiros,rua_alfandega,1). connected(rua_fanqueiros,rua_arsenal,1). connected(rua_arsenal,rua_alfandega,1). connected(rua_madalena,rua_sao_mamede,1). connected(rua_madalena,rua_pedras_negras_W,1). connected(rua_madalena,tv_pedras_negras,1). connected(rua_madalena,rua_sto_antonio_se,1). connected(rua_madalena,rua_conceicao,1). connected(rua_madalena,rua_sao_juliao,1). connected(rua_madalena,rua_comercio,1). connected(rua_madalena,rua_bacalhoeiros,1). connected(rua_madalena,rua_arsenal,1). connected(rua_madalena,rua_alfandega,1). connected(rua_comercio,rua_bacalhoeiros,1). connected(tv_almada,rua_sao_mamede,1). connected(tv_almada,rua_pedras_negras_W,1). connected(tv_almada,rua_pedras_negras_E,1). connected(tv_almada,tv_pedras_negras,1). connected(tv_almada,rua_sto_antonio_se,1). connected(rua_pedras_negras_W,rua_pedras_negras_E,1). connected(calc_correio_velho,rua_sao_mamede,1). connected(calc_correio_velho,rua_pedras_negras_E,1). connected(calc_correio_velho,rua_sto_antonio_se,1). connected(calc_correio_velho,rua_padaria,1). connected(rua_padaria,rua_sto_antonio_se,1). connected(rua_padaria,rua_sao_juliao,1). connected(rua_padaria,rua_bacalhoeiros,1). connected(campo_cebolas,rua_bacalhoeiros,1). connected(campo_cebolas,rua_alfandega,1). connected(campo_cebolas,av_inf_dom_henrique,1). connected(campo_cebolas,sul_sueste,1). connected(rua_alfandega,rua_bacalhoeiros,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(pc_comercio,Y,1). % connectivity(pc_comercio,Y,AC). % graph(pc_comercio,Y,D). % control(pc_comercio,Y,E). % controllability(pc_comercio,Y,Z,F). % totdepth(pc_comercio,Y,TD). % meandepth(pc_comercio,Y,D,MD). % integration(pc_comercio,Y,D,I). % asymmetry(pc_comercio,Y,D,RA). % rra(pc_comercio,Y,D,RRA). % integrationHH(pc_comercio,Y,D,IHH). % rgraph(pc_comercio,Y,D,3). % rintegration(pc_comercio,Y,D,I,3). % rasymmetry(pc_comercio,Y,D,RA,3). % rings(pc_comercio,Y,Z,D,R). % ringiness(pc_comercio,Y,Z,RR).