X-Git-Url: https://git.jsancho.org/?p=dungeon-master.git;a=blobdiff_plain;f=dungeon-master%2Fgeom%2Fvoronoi.scm;h=9217285ad97c2295dd539acd6cba191284526801;hp=a748634dad75eb54580c26917b5b8bb900f05d05;hb=09c4aef3b2dde4e8fdf0a4b673b36c1ddbc84b6e;hpb=efcdd7897930ce2ce2f24ef789c8331b6154527b diff --git a/dungeon-master/geom/voronoi.scm b/dungeon-master/geom/voronoi.scm index a748634..9217285 100644 --- a/dungeon-master/geom/voronoi.scm +++ b/dungeon-master/geom/voronoi.scm @@ -1,7 +1,9 @@ (define-module (dungeon-master geom voronoi) #:use-module (ice-9 receive) + #:use-module (rnrs sorting) #:use-module (srfi srfi-1) #:use-module (srfi srfi-9) + #:use-module (dungeon-master geom) #:use-module (dungeon-master geom point) #:use-module (dungeon-master geom triangle) #:use-module (dungeon-master geom bowyer-watson) @@ -10,16 +12,28 @@ voronoi-mesh-triangles voronoi-mesh-points voronoi-mesh-frame - voronoi-mesh-regions)) + voronoi-mesh-regions + voronoi-mesh-relax)) "https://github.com/watabou/TownGeneratorOS/blob/master/Source/com/watabou/geom/Voronoi.hx" +;;; Voronoi mesh region + (define-record-type - (make-voronoi-region seed vertices) + (make-raw-voronoi-region seed vertices) voronoi-region? (seed voronoi-region-seed) (vertices voronoi-region-vertices)) +(define (make-voronoi-region seed vertices) + (define (compare-angles triangle1 triangle2) + (let ((c1 (triangle-center triangle1)) + (c2 (triangle-center triangle2))) + (> (angle-sign seed c1 c2) 0))) + (make-raw-voronoi-region seed (list-sort compare-angles vertices))) + +;;; Voronoi mesh + (define-record-type (make-raw-voronoi-mesh triangles points frame regions) voronoi-mesh? @@ -29,30 +43,59 @@ (regions voronoi-mesh-regions)) (define* (make-voronoi-mesh vertices #:optional (relax-steps 3)) - ; Delaunay triangulation + ;; Delaunay triangulation (receive (triangles points frame) (bowyer-watson vertices) - ; Relaxing central wards - ;; (let relax ((step relax-steps)) - ;; (cond ((> step 0) - ;; (relax (- step 1))) - ;; (else - ;; #t))) (make-raw-voronoi-mesh triangles points frame (make-regions points triangles)))) -(define* (make-regions points triangles #:optional (regions '())) - (cond ((null? points) - regions) - (else - (let* ((p (car points)) - (vertices (filter - (lambda (tr) (member p (triangle-points tr))) - triangles))) - (display p)(newline) - (make-regions (cdr points) - triangles - (cons (make-voronoi-region p vertices) regions)))))) +(define (partitioning voronoi) + (define (is-real-triangle triangle) + ;; real triangle points cannot be frame points + (let ((frame (voronoi-mesh-frame voronoi))) + (let check-points ((points (triangle-points triangle))) + (cond ((null? points) + #t) ; triangle is real + (else + (and (not (member (car points) frame)) + (check-points (cdr points)))))))) + + (define (is-real-region region) + ;; real region points cannot be frame points + (let check-vertices ((vertices (voronoi-region-vertices region))) + (cond ((null? vertices) + #t) ; region is real + (else + (and (is-real-triangle (car vertices)) + (check-vertices (cdr vertices))))))) + + (let* ((points (voronoi-mesh-points voronoi)) + (regions (voronoi-mesh-regions voronoi)) + ;; we need the regions in the same order as points are + (ordered-regions + (map-in-order + (lambda (p) + (assoc-ref regions p)) + points)) + ;; only real regions without frame points + (filtered-regions + (filter (lambda (r) (is-real-region r)) + ordered-regions))) + filtered-regions)) + +(define* (voronoi-mesh-relax voronoi #:optional (to-relax '())) + (let ((regions (partitioning voronoi))) + voronoi)) + +(define (make-regions points triangles) + (map-in-order + (lambda (p) + (let ((vertices + (filter + (lambda (tr) (member p (triangle-points tr))) + triangles))) + (cons p (make-voronoi-region p vertices)))) + points))