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geometry-test.lisp
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;;; Test
(defun gen-vertex (&key (gen-coord (lambda ()
(- (random 1.0d0) 0.5d0))))
(flet ((coord ()
(funcall gen-coord)))
(dvec (coord) (coord) (coord))))
(defun gen-triangle (&key (gen-coord (lambda ()
(- (random 1.0d0) 0.5d0)))
(gen-vertex (lambda ( ; gen-coord
)
(flet ((coord ()
(funcall gen-coord)))
(dvec (coord) (coord) (coord))))))
(let ((a (funcall gen-vertex))
(b (funcall gen-vertex))
(c (funcall gen-vertex)))
(values (vector a b c) (vector 0 1 2))))
(defun flatten-vertices (vertices)
(let ((result (make-array (* 3 (length vertices))))
(i 0))
(map nil (lambda (vertex)
(setf (aref result (+ i 0)) (vx vertex)
(aref result (+ i 1)) (vy vertex)
(aref result (+ i 2)) (vz vertex))
(incf i 3))
vertices)
result))
(defun offset-vertices (vertices direction))
(defun offset-vertices-along-normal (vertices offset)
(let* ((a (aref vertices 0))
(b (aref vertices 1))
(c (aref vertices 2))
(normal (vc (v- b a) (v- c a))))
(vector (v+ a (v* normal offset))
(v+ b (v* normal offset))
(v+ c (v* normal offset)))))
(defun test-1 ()
"Coplanar cases"
(let ((*material-number* 1)
(*mesh-number* 1)
(*annotations* '())
(*annotation-number* 0)
(*debug-output* t))
(multiple-value-bind (vertices-u faces-u) (gen-triangle)
(multiple-value-bind (vertices-v faces-v) (gen-triangle)
(multiple-value-bind (vertices-w faces-w) (gen-triangle)
(multiple-value-bind (vertices-x faces-x) (gen-triangle)
(multiple-value-bind (vertices-y faces-y) (gen-triangle)
(progn ; multiple-value-bind (vertices-z faces-z) (gen-triangle)
;; Coplanar intersecting
(let ((c (v/ (reduce #'v+ vertices-u) 3)))
(map-into vertices-v (lambda (v) (v+ c (v* (v- v c) (+ .7 (random .6))))) vertices-u))
;; Coplanar non-intersecting
(let ((d (v- (aref vertices-u 1) (aref vertices-u 0))))
(map-into vertices-w (lambda (v) (v+ v (v* d 2))) vertices-u))
;; Coplanar one-edge intersection other vertex outside
(let ((d (v- (aref vertices-u 2) (aref vertices-u 0))))
(setf (aref vertices-x 0) (aref vertices-u 0)
(aref vertices-x 1) (aref vertices-u 1)
(aref vertices-x 2) (v+ (aref vertices-u 0) (v* d -2))))
;; Coplanar one-edge intersection other vertex inside
(let ((c (v/ (v+ (aref vertices-u 0) (aref vertices-u 1) (aref vertices-u 2)) 3)))
(setf (aref vertices-y 0) (aref vertices-u 0)
(aref vertices-y 1) (aref vertices-u 1)
(aref vertices-y 2) c))
(let ((intersect-uv-p (triangles-intersect-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(aref vertices-v 0)
(aref vertices-v 1)
(aref vertices-v 2)))
(intersect-uw-p (triangles-intersect-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(aref vertices-w 0)
(aref vertices-w 1)
(aref vertices-w 2)))
(intersect-ux-p (triangles-intersect-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(aref vertices-x 0)
(aref vertices-x 1)
(aref vertices-x 2)))
(intersect-uy-p (triangles-intersect-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(aref vertices-y 0)
(aref vertices-y 1)
(aref vertices-y 2)))
#+no (intersect-uz-p (triangles-intersect-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(aref vertices-z 0)
(aref vertices-z 1)
(aref vertices-z 2))))
(let* ((object-file #P"/tmp/triangle-intersection.obj")
(output-file #P"/tmp/triangle-intersection.png")
(objects (append (list (make-triangle-mesh (flatten-vertices vertices-u) faces-u
:diffuse-factor #(.7 .5 .5))
#+no (make-triangle-mesh (flatten-vertices (offset-vertices-along-normal vertices-u bias)) faces-u
:diffuse-factor #(.7 1 1)
:alpha .5)
#+no (make-triangle-mesh (flatten-vertices (offset-vertices-along-normal vertices-u (- bias))) faces-u
:diffuse-factor #(1 1 .7)
:alpha .5)
(make-triangle-mesh (flatten-vertices vertices-v) faces-v
:diffuse-factor (if intersect-uv-p
#(0 1 0)
#(.6 .7 .6)))
#+no (make-triangle-mesh (flatten-vertices vertices-w) faces-w
:diffuse-factor (if intersect-uw-p
#(0 0 1)
#(.6 .6 .7)))
(make-triangle-mesh (flatten-vertices vertices-x) faces-x
:diffuse-factor (if intersect-ux-p
#(1 0 1)
#(.7 .6 .7)))
(make-triangle-mesh (flatten-vertices vertices-y) faces-y
:diffuse-factor (if intersect-uy-p
#(0 1 1)
#(.6 .7 .7)))
#+no (make-triangle-mesh (flatten-vertices vertices-z) faces-z
:diffuse-factor (if intersect-uz-p
#(1 1 0)
#(.7 .7 .6))))
*annotations*)))
(org.shirakumo.fraf.wavefront:serialize objects object-file :if-exists :supersede)
(render-wavefront object-file output-file :camera-position (dvec 2 2 2))))))))))))
(defun test-2 ()
(let ((*material-number* 1)
(*mesh-number* 1)
(*annotations* '())
(*annotation-number* 0)
(*debug-output* t))
(multiple-value-bind (vertices-u faces-u) (gen-triangle)
(multiple-value-bind (vertices-v faces-v) (gen-triangle)
(multiple-value-bind (vertices-w faces-w) (gen-triangle)
(multiple-value-bind (vertices-x faces-x) (gen-triangle)
(multiple-value-bind (vertices-y faces-y) (gen-triangle)
(multiple-value-bind (vertices-z faces-z) (gen-triangle)
(let ((c (v/ (reduce #'v+ vertices-u) 3)))
(map-into vertices-v (lambda (v) (v+ c (v* (v- v c) (+ .7 (random .6))))) vertices-u))
(let ((d (v- (aref vertices-u 1) (aref vertices-u 0))))
(map-into vertices-w (lambda (v) (v+ v (v* d 2))) vertices-u))
(setf (aref vertices-x 0) (aref vertices-u 0)
(aref vertices-x 1) (aref vertices-u 1))
(setf (aref vertices-y 0) (aref vertices-u 0))
(let ((intersect-uv-p (triangles-intersect-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(aref vertices-v 0)
(aref vertices-v 1)
(aref vertices-v 2)))
(intersect-uw-p (triangles-intersect-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(aref vertices-w 0)
(aref vertices-w 1)
(aref vertices-w 2)))
(intersect-ux-p (triangles-intersect-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(aref vertices-x 0)
(aref vertices-x 1)
(aref vertices-x 2)))
(intersect-uy-p (triangles-intersect-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(aref vertices-y 0)
(aref vertices-y 1)
(aref vertices-y 2)))
(intersect-uz-p (triangles-intersect-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(aref vertices-z 0)
(aref vertices-z 1)
(aref vertices-z 2))))
(let* ((object-file #P"/tmp/triangle-intersection.obj")
(output-file #P"/tmp/triangle-intersection.png")
(objects (append (list (make-triangle-mesh (flatten-vertices vertices-u) faces-u
:diffuse-factor #(.7 .5 .5))
#+no (make-triangle-mesh (flatten-vertices (offset-vertices-along-normal vertices-u bias)) faces-u
:diffuse-factor #(.7 1 1)
:alpha .5)
#+no (make-triangle-mesh (flatten-vertices (offset-vertices-along-normal vertices-u (- bias))) faces-u
:diffuse-factor #(1 1 .7)
:alpha .5)
(make-triangle-mesh (flatten-vertices vertices-v) faces-v
:diffuse-factor (if intersect-uv-p
#(0 1 0)
#(.6 .7 .6)))
(make-triangle-mesh (flatten-vertices vertices-w) faces-w
:diffuse-factor (if intersect-uw-p
#(0 0 1)
#(.6 .6 .7)))
(make-triangle-mesh (flatten-vertices vertices-x) faces-x
:diffuse-factor (if intersect-ux-p
#(1 0 1)
#(.7 .6 .7)))
(make-triangle-mesh (flatten-vertices vertices-y) faces-y
:diffuse-factor (if intersect-uy-p
#(0 1 1)
#(.6 .7 .7)))
(make-triangle-mesh (flatten-vertices vertices-z) faces-z
:diffuse-factor (if intersect-uz-p
#(1 1 0)
#(.7 .7 .6))))
*annotations*)))
(org.shirakumo.fraf.wavefront:serialize objects object-file :if-exists :supersede)
(render-wavefront object-file output-file :camera-position (dvec 2 2 2))))))))))))
(defun test-3 ()
(let ((*material-number* 1)
(*mesh-number* 1)
(*annotations* '())
(*annotation-number* 0)
(*debug-output* t))
(multiple-value-bind (vertices-u faces-u) (gen-triangle)
(multiple-value-bind (vertices-v faces-v) (gen-triangle)
(progn
(setf (aref vertices-v 0) (aref vertices-u 0)
; (aref vertices-v 1) (aref vertices-u 1)
)
(let* ((u1 (aref vertices-u 0))
(u2 (aref vertices-u 1))
(u3 (aref vertices-u 2))
(v1 (aref vertices-v 0))
(v2 (aref vertices-v 1))
(v3 (aref vertices-v 2))
(intersect-uv-p (triangles-intersect-p u1 u2 u3 v1 v2 v3))
(v1-on-u-p (point-on-triangle-p u1 u2 u3 v1))
(v2-on-u-p (point-on-triangle-p u1 u2 u3 v2))
(v3-on-u-p (point-on-triangle-p u1 u2 u3 v3)))
(let* ((object-file #P"/tmp/triangle-intersection.obj")
(output-file #P"/tmp/triangle-intersection.png")
(objects (append (list (make-triangle-mesh (flatten-vertices vertices-u) faces-u
:diffuse-factor #(.7 .5 .5))
#+no (make-triangle-mesh (flatten-vertices (offset-vertices-along-normal vertices-u bias)) faces-u
:diffuse-factor #(.7 1 1)
:alpha .5)
#+no (make-triangle-mesh (flatten-vertices (offset-vertices-along-normal vertices-u (- bias))) faces-u
:diffuse-factor #(1 1 .7)
:alpha .5)
(make-triangle-mesh (flatten-vertices vertices-v) faces-v
:diffuse-factor (if intersect-uv-p
#(0 1 0)
#(.6 .7 .6)))
(debug-cube v1 "v1" (make-material (if v1-on-u-p
#(1 0 0)
#(.6 .6 .6)))
:offset .03)
(debug-cube v2 "v2" (make-material (if v2-on-u-p
#(1 0 0)
#(.6 .6 .6)))
:offset .03)
(debug-cube v3 "v3" (make-material (if v3-on-u-p
#(1 0 0)
#(.6 .6 .6)))
:offset .03))
*annotations*)))
(org.shirakumo.fraf.wavefront:serialize objects object-file :if-exists :supersede)
(render-wavefront object-file output-file :camera-position (dvec 2 2 2)))))))))
(defun test-4 ()
(let ((*material-number* 1)
(*mesh-number* 1)
(*annotations* '())
(*annotation-number* 0)
(*debug-output* t))
(multiple-value-bind (vertices-u faces-u) (gen-triangle)
(let (line-1 line-2 line-3)
(let ((c (v/ (reduce #'v+ vertices-u) 3)))
(setf line-1 (cons (v+ c (v* (v- (aref vertices-u 0) c) (+ .7 (random .6))))
(v+ c (v* (v- (aref vertices-u 1) c) (+ .7 (random .6)))))))
(let ((d (v- (aref vertices-u 1) (aref vertices-u 0))))
(setf line-2 (cons (v+ (aref vertices-u 0) (v* d 2))
(v+ (aref vertices-u 1) (v* d 2)))))
#+todo (setf (aref vertices-x 0) (aref vertices-u 0)
(aref vertices-x 1) (aref vertices-u 1))
(setf line-3 (cons (gen-vertex) (gen-vertex)))
(let ((intersect-1-p (line-intersects-triangle-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(car line-1) (cdr line-1)))
(intersect-2-p (line-intersects-triangle-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(car line-2) (cdr line-2)))
(intersect-3-p (line-intersects-triangle-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(car line-3) (cdr line-3)))
#+no (intersect-ux-p (triangles-intersect-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(aref vertices-x 0)
(aref vertices-x 1)
(aref vertices-x 2)))
#+no (intersect-uy-p (triangles-intersect-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(aref vertices-y 0)
(aref vertices-y 1)
(aref vertices-y 2)))
#+no (intersect-uz-p (triangles-intersect-p (aref vertices-u 0)
(aref vertices-u 1)
(aref vertices-u 2)
(aref vertices-z 0)
(aref vertices-z 1)
(aref vertices-z 2))))
(let* ((object-file #P"/tmp/line-triangle-intersection.obj")
(output-file #P"/tmp/line-triangle-intersection.png")
(objects (append (list (make-triangle-mesh (flatten-vertices vertices-u) faces-u
:diffuse-factor #(.7 .5 .5))
(new-debug-line* (car line-1) (cdr line-1) "line-1"
(make-material (if intersect-1-p
#(0 1 0)
#(.6 .7 .6))))
(new-debug-line* (car line-2) (cdr line-2) "line-2"
(make-material (if intersect-2-p
#(1 0 0)
#(.7 .6 .6))))
(new-debug-line* (car line-3) (cdr line-3) "line-3"
(make-material (if intersect-3-p
#(0 0 1)
#(.6 .6 .7)))))
*annotations*)))
(org.shirakumo.fraf.wavefront:serialize objects object-file :if-exists :supersede)
(render-wavefront object-file output-file :camera-position (dvec 2 2 2))))))))