[求助]谁有Delaunay三角形剖分的源程序

zzz8662 · 发表于 2004-3-4 22:00:00

大哥们好，谁有Delaunay三角形剖分的源程序？我正在学这方面的东西，但是书上说的都是理论，看的不太懂。想找个程序看看，谢谢了！

dipenghao · 发表于 2004-8-17 10:23:00

我有啊，你要不要？

zhhboo · 发表于 2004-8-30 16:02:00

我想要，你能发给我吗？zhhboo@ah163.com

dem · 发表于 2004-10-8 17:46:00

源程序更难懂，很复杂，动态库可以吗，到GIS专区找找吧

有现成的组件，非得自已编吗！

dingding408 · 发表于 2007-7-15 10:12:00

我现在正需要,搞毕业设计,大虾,你能将那个源程序发给我吗?我的邮箱是:dingding408@tom.com

wuxiaoyan12 · 发表于 2009-4-1 21:52:00

我也想要谢谢

wuxiaoyan1214@yahoo.com.cn

ZgaphpaWu · 发表于 2010-2-2 15:21:00

我正在编写由离散地形点生成tin地形的程序，非常想学习下，能否发给我一份？邮箱：ZgaphpaWu@gmail.com，谢谢！

wangdeshow · 发表于 2010-9-24 13:53:00

我也想要谢谢

wangdeshow@163.com

santalin · 发表于 2010-10-5 12:33:00

(defun c:test (/ tpoints temp howmany ij p1 p2 p3)
(setq tpoints 1
vertex (givever)
triangle (givetri)
edges (giveedg)
)
(while (setq temp (getpoint))
(setq vertex (qj-setnmth (nth 0 temp) tpoints 1 vertex))
(setq vertex (qj-setnmth (nth 1 temp) tpoints 2 vertex))
(if (> tpoints 2)
(progn
(setq howmany (Triangulate tpoints))
)
)
(setq tpoints (1+ tpoints))
(setq ij 0)
(command "redraw")
(if (>= tpoints 4)
(progn
(repeat howmany
(setq ij (1+ ij))
(setq p1 (nth (1- (nth 0 (nth (1- ij) triangle))) vertex))
(setq p2 (nth (1- (nth 1 (nth (1- ij) triangle))) vertex))
(setq p3 (nth (1- (nth 2 (nth (1- ij) triangle))) vertex))
(grdraw p2 p1 1)
(grdraw p1 p3 1)
(grdraw p2 p3 1)
)
)
) ; (grdraw p1 p3 1)
; (grdraw p2 p3 1)
; (grdraw p3 p1 1)
)
)
;|The main function|;
(defun Triangulate (nvert / xmin ymin xmax ymax i dx dy xmid ymid
complete
ntri inc nedge i j Triangulate1
)
(setq xmin (xofv vertex 1))
(setq ymin (yofv vertex 1))
(setq xmax xmin
ymax ymin
)
(setq i 2)
(while (<= i nvert)
(if (< (xofv vertex i) xmin)
(setq xmin (xofv vertex i))
)
(if (> (xofv vertex i) xmax)
(setq xmax (xofv vertex i))
)
(if (< (yofv vertex i) ymin)
(setq ymin (yofv vertex i))
)
(if (> (yofv vertex i) ymax)
(setq ymax (yofv vertex i))
)
(setq i (1+ i))
)
(setq dx (- xmax xmin))
(setq dy (- ymax ymin))
(if (> dx dy)
(setq dmax dx)
(setq dmax dy)
)
(setq xmid (/ (+ xmax xmin) 2))
(setq ymid (/ (+ ymax ymin) 2))
(setq vertex (qj-setnmth (- xmid (* dmax 2)) (1+ nvert) 1 vertex))
(setq vertex (qj-setnmth (- ymid dmax) (1+ nvert) 2 vertex))
(setq vertex (qj-setnmth xmid (+ nvert 2) 1 vertex))
(setq vertex (qj-setnmth (+ ymid (* 2 dmax)) (+ nvert 2) 2 vertex))
(setq vertex (qj-setnmth (+ xmid (* 2 dmax)) (+ nvert 3) 1 vertex))
(setq vertex (qj-setnmth (- ymid dmax) (+ nvert 3) 2 vertex))
(setq triangle (qj-setnmth (+ nvert 1) 1 1 triangle))
(setq triangle (qj-setnmth (+ nvert 2) 1 2 triangle))
(setq triangle (qj-setnmth (+ nvert 3) 1 3 triangle))
(setq complete (append
complete
(list nil)
)
)
(setq ntri 1);;;;;;;;;;;start loop i
(setq i 1)
(while (<= i nvert)
(setq nedge 0);;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(setq j 0
temp (- 1)
)
(while (< temp ntri)
(setq j (1+ j)
temp j
)
(if (/= (nth (1- j) complete) T)
(progn
(setq inc (InCircle1 (xofv vertex i) (yofv vertex i) (xof vertex
triangle
j 1
)
(yof vertex triangle j 1) (xof vertex
triangle j 2
) (yof vertex
triangle j 2
) (xof vertex
triangle j
3
) (yof vertex triangle
j 3
)
)
)
)
)
(if inc
(progn
(setq edges (qj-setnmth (nth 0 (nth (1- j) triangle)) 1
(+ nedge 1) edges
)
)
(setq edges (qj-setnmth (nth 1 (nth (1- j) triangle)) 2
(+ nedge 1) edges
)
)
(setq edges (qj-setnmth (nth 1 (nth (1- j) triangle)) 1
(+ nedge 2) edges
)
)
(setq edges (qj-setnmth (nth 2 (nth (1- j) triangle)) 2
(+ nedge 2) edges
)
)
(setq edges (qj-setnmth (nth 2 (nth (1- j) triangle)) 1
(+ nedge 3) edges
)
)
(setq edges (qj-setnmth (nth 0 (nth (1- j) triangle)) 2
(+ nedge 3) edges
)
)
(setq Nedge (+ Nedge 3))
(setq triangle (qj-setnmth ([n,m] triangle ntri 1) j 1 triangle))
(setq triangle (qj-setnmth ([n,m] triangle ntri 2) j 2 triangle))
(setq triangle (qj-setnmth ([n,m] triangle ntri 3) j 3 triangle))
(setq complete (std-setnth (nth (1- ntri) complete) (1- j)
complete
)
)
(setq j (1- j)
temp j
)
(setq ntri (1- ntri))
)
)
);;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(setq j 1)
(while (<= j (1- Nedge))
(if (and
(/= ([n,m] edges 1 j) 0)
(/= ([n,m] edges 2 j) 0)
)
(progn
(setq k (1+ j))
(while (<= k Nedge)
(if (and
(/= ([n,m] edges 1 k) 0)
(/= ([n,m] edges 2 k) 0)
)
(if (= ([n,m] edges 1 j) ([n,m] edges 2 k))
(if (= ([n,m] edges 2 j) ([n,m] edges 1 k))
(progn
(setq edges (qj-setnmth 0 1 j edges))
(setq edges (qj-setnmth 0 2 j edges))
(setq edges (qj-setnmth 0 1 k edges))
(setq edges (qj-setnmth 0 1 k edges))
)
)
)
)
(setq k (1+ k))
)
)
)
(setq j (1+ j))
);;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;
(setq j 1)
(while (<= j Nedge)
(if (and
(/= ([n,m] edges 1 j) 0)
(/= ([n,m] edges 2 j) 0)
)
(progn
(setq ntri (1+ ntri))
(setq triangle (qj-setnmth ([n,m] edges 1 j) ntri 1 triangle))
(setq triangle (qj-setnmth ([n,m] edges 2 j) ntri 2 triangle))
(setq triangle (qj-setnmth i ntri 3 triangle))
(setq complete (std-setnth nil (1- ntri) complete))
)
)
(setq j (1+ j))
);;;;;;;;;;;;;;;;;;;;;;;;;;;
(setq i (1+ i))
);;;;;end of loop i
(setq i 0
temp (- 1)
)
(while (< temp ntri)
(setq i (1+ i)
temp i
)
(if (or
(> ([n,m] triangle i 1) nvert)
(> ([n,m] triangle i 2) nvert)
(> ([n,m] triangle i 3) nvert)
)
(progn
(setq triangle (qj-setnmth ([n,m] triangle ntri 1) i 1 triangle))
(setq triangle (qj-setnmth ([n,m] triangle ntri 2) i 2 triangle))
(setq triangle (qj-setnmth ([n,m] triangle ntri 3) i 3 triangle))
(setq i (1- i)
temp i
)
(setq ntri (1- ntri))
)
)
)
(setq Triangulate1 ntri)
Triangulate1
)
;;; std代替表中第n个元素的函数
(defun std-%setnth (new i lst / fst len)
(cond
((minusp i)
lst
)
((> i (setq len (length lst)))
lst
)
((> i (/ len 2))
(reverse (std-%setnth new (1- (- len i)) (reverse lst)))
)
(t
(append
(progn
(setq fst nil) ; ; possible vl lsa compiler bug
(repeat (rem i 4)
(setq fst (cons (car lst) fst)
lst (cdr lst)
)
)
(repeat (/ i 4)
(setq fst (cons (cadddr lst) (cons (caddr lst) (cons
(cadr lst)
(cons
(car lst)
fst
)
)
)
)
lst (cddddr lst)
)
)
(reverse fst)
)
(if (listp new)
new
(list new)
) ; v0.4001
(cdr lst)
)
)
)
)
(defun std-setnth (new i lst)
(std-%setnth (list new) i lst)
)
;;; 代替二维表中第i行第j列元素的函数（i和j从1开始）
(defun qj-setnmth (new i j lst / listb lista)
(setq listb lst)
(setq i (1- i))
(setq j (1- j))
(setq lista (nth i lst))
(setq lista (std-setnth new j lista))
(setq listb (std-setnth lista i listb))
listb
)
;;; 获取某个数组表第几项第几项的数值
(defun [n,m] (a n m / i) ; n是行，m是列
(setq i (nth (1- m) (nth (1- n) a)))
i
)
;;; 获取某个单列数组第几项的数值
(defun [n] (a n / i) ; n是行，m是列
(setq i (nth (1- n) a))
i
)
;|Vertex has the form ’((x1 y1)(x2 y2)(x3 y3)(x4 y4)())
The function xofv is to get the x value of the i element,i start from 1|;
(defun xofv (vertex i / res)
(setq res (nth 0 (nth (- i 1) vertex)))
res
)
;|Vertex has the form ’((x1 y1)(x2 y2)(x3 y3)(x4 y4)())
The function yofv is to get the y value of the i element,i start from 1|;
(defun yofv (vertex i / res)
(setq res (nth 1 (nth (- i 1) vertex)))
res
)
;|Lis has the form ’(((x11 y11)(x12 y12)(x13 y13))((x21 y21)(x22 y22)(x23
y23))(()()()))
The function xof is to get the x value of the i,j element,i and j start from
1
and j is the outer sequence, and i is the inter sequence, total 3|;
(defun xof (lisa lisb j v123 / res1 res2 res)
(setq res1 (nth (1- j) lisb))
(setq res2 (nth (1- v123) res1))
(setq res3 (nth (1- res2) lisa))
(setq res (nth 0 res3))
res
)
;|Lis has the form ’(((x11 y11)(x12 y12)(x13 y13))((x21 y21)(x22 y22)(x23
y23))(()()()))
The function xof is to get the y value of the i,j element,i and j start from
1
and j is the outer sequence, and i is the inter sequence, total 3|;
(defun yof (lisa lisb j v123 / res1 res2 res)
(setq res1 (nth (1- j) lisb))
(setq res2 (nth (1- v123) res1))
(setq res3 (nth (1- res2) lisa))
(setq res (nth 1 res3))
res
)
;(defun append1 (new n lis / res1 res2 res)
;
; (setq res1 (nth (1- n) lis))
; (setq res2 (append
; res1
; (list new)
; )
; )
; (setq res (std-setnth res2 (1- n) lis))
; res
;)
;
;|Return TRUE if the point (xp,yp) lies inside the circumcircle
made up by points (x1,y1) (x2,y2) (x3,y3)
The circumcircle centre is returned in (xc,yc) and the radius r
NOTE: A point on the edge is inside the circumcircle|;
(defun InCircle1 (xp yp x1 y1 x2 y2 x3 y3 / InCircle eps mx2 my2 xc yc
m1
mx1 my1 m2 mx2 my2 dx dy rsqr r drsqr
)
(setq eps 0.000001)
(setq InCircle nil)
(if (and
(< (abs (- y1 y2)) eps)
(< (abs (- y2 y3)) eps)
)
(alert "INCIRCUM - F - Points are coincident !!")
(progn
(cond
((< (abs (- y2 y1)) eps)
(setq m2 (/ (- x2 x3) (- y3 y2)))
(setq mx2 (/ (+ x2 x3) 2))
(setq my2 (/ (+ y2 y3) 2))
(setq xc (/ (+ x2 x1) 2))
(setq yc (+ my2 (* m2 (- xc mx2))))
)
((< (abs (- y3 y2)) eps)
(setq m1 (/ (- x1 x2) (- y2 y1)))
(setq mx1 (/ (+ x1 x2) 2))
(setq my1 (/ (+ y1 y2) 2))
(setq xc (/ (+ x3 x2) 2))
(setq yc (+ my1 (* m1 (- xc mx1))))
)
(T
(setq m1 (/ (- x1 x2) (- y2 y1)))
(setq m2 (/ (- x2 x3) (- y3 y2)))
(setq mx1 (/ (+ x1 x2) 2))
(setq mx2 (/ (+ x2 x3) 2))
(setq my1 (/ (+ y1 y2) 2))
(setq my2 (/ (+ y2 y3) 2))
(setq xc (/ (- (+ (* m1 mx1) my2) my1 (* m2 mx2)) (- m1
m2)))
(setq yc (+ my1 (* m1 (- xc mx1))))
)
)
(setq dx (- x2 xc))
(setq dy (- y2 yc))
(setq rsqr (+ (* dx dx) (* dy dy)))
(setq r (sqrt rsqr))
(setq dx (- xp xc))
(setq dy (- yp yc))
(setq drsqr (+ (* dx dx) (* dy dy)))
(if (<= drsqr rsqr)
(setq InCircle T)
)
)
)
InCircle
)
;|Determines which side of a line the point (xp,yp) lies.
The line goes from (x1,y1) to (x2,y2)
Returns -1 for a point to the left
0 for a point on the line
+1 for a point to the right|;
(defun whichside (xp yp x1 y1 x2 y2 / equation)
(setq equation (- (* (- yp y1) (- x2 x1)) (* (- y2 y1) (- xp x1))))
(cond
((> equation 0)
(setq whichside (- 0 1))
)
((= equation 0)
(setq whichside 0)
)
(T
(setq whichside 1)
)
)
whichside
)
(defun givetri (/ lis)
(repeat 200
(setq lis (append
lis
(list (list nil nil nil))
)
)
)
lis
)
(defun givever (/ lis)
(repeat 200
(setq lis (append
lis
(list (list nil nil))
)
)
)
lis
)
(defun giveedg (/ lis lis1 lis2)
(repeat 200
(setq lis1 (append
lis1
(list nil)
)
)
)
(setq lis2 lis1)
(setq lis (append
lis
(list lis1)
)
)
(setq lis (append
lis
(list lis2)
)
)
lis
)

(defun c:test (/ tpoints temp howmany ij p1 p2 p3) 
(setq tpoints 1 
vertex (givever) 
triangle (givetri) 
edges (giveedg) 
) 
(while (setq temp (getpoint)) 
(setq vertex (qj-setnmth (nth 0 temp) tpoints 1 vertex)) 
(setq vertex (qj-setnmth (nth 1 temp) tpoints 2 vertex)) 
(if (> tpoints 2) 
(progn 
(setq howmany (Triangulate tpoints)) 
) 
) 
(setq tpoints (1+ tpoints)) 
(setq ij 0) 
(command "redraw") 
(if (>= tpoints 4) 
(progn 
(repeat howmany 
(setq ij (1+ ij)) 
(setq p1 (nth (1- (nth 0 (nth (1- ij) triangle))) vertex)) 
(setq p2 (nth (1- (nth 1 (nth (1- ij) triangle))) vertex)) 
(setq p3 (nth (1- (nth 2 (nth (1- ij) triangle))) vertex)) 
(grdraw p2 p1 1) 
(grdraw p1 p3 1) 
(grdraw p2 p3 1) 
) 
) 
) ; (grdraw p1 p3 1) 
; (grdraw p2 p3 1) 
; (grdraw p3 p1 1) 
) 
) 
;|The main function|; 
(defun Triangulate (nvert / xmin ymin xmax ymax i dx dy xmid ymid

complete 
ntri inc nedge i j Triangulate1 
) 
(setq xmin (xofv vertex 1)) 
(setq ymin (yofv vertex 1)) 
(setq xmax xmin 
ymax ymin 
) 
(setq i 2) 
(while (<= i nvert) 
(if (< (xofv vertex i) xmin) 
(setq xmin (xofv vertex i)) 
) 
(if (> (xofv vertex i) xmax) 
(setq xmax (xofv vertex i)) 
) 
(if (< (yofv vertex i) ymin) 
(setq ymin (yofv vertex i)) 
) 
(if (> (yofv vertex i) ymax) 
(setq ymax (yofv vertex i)) 
) 
(setq i (1+ i)) 
) 
(setq dx (- xmax xmin)) 
(setq dy (- ymax ymin)) 
(if (> dx dy) 
(setq dmax dx) 
(setq dmax dy) 
) 
(setq xmid (/ (+ xmax xmin) 2)) 
(setq ymid (/ (+ ymax ymin) 2)) 
(setq vertex (qj-setnmth (- xmid (* dmax 2)) (1+ nvert) 1 vertex)) 
(setq vertex (qj-setnmth (- ymid dmax) (1+ nvert) 2 vertex)) 
(setq vertex (qj-setnmth xmid (+ nvert 2) 1 vertex)) 
(setq vertex (qj-setnmth (+ ymid (* 2 dmax)) (+ nvert 2) 2 vertex)) 
(setq vertex (qj-setnmth (+ xmid (* 2 dmax)) (+ nvert 3) 1 vertex)) 
(setq vertex (qj-setnmth (- ymid dmax) (+ nvert 3) 2 vertex)) 
(setq triangle (qj-setnmth (+ nvert 1) 1 1 triangle)) 
(setq triangle (qj-setnmth (+ nvert 2) 1 2 triangle)) 
(setq triangle (qj-setnmth (+ nvert 3) 1 3 triangle)) 
(setq complete (append 
complete 
(list nil) 
) 
) 
(setq ntri 1);;;;;;;;;;;start loop i 
(setq i 1) 
(while (<= i nvert) 
(setq nedge 0);;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; 
(setq j 0 
temp (- 1) 
) 
(while (< temp ntri) 
(setq j (1+ j) 
temp j 
) 
(if (/= (nth (1- j) complete) T) 
(progn 
(setq inc (InCircle1 (xofv vertex i) (yofv vertex i) (xof vertex

triangle

j 1

) 
(yof vertex triangle j 1) (xof vertex

triangle j 2

) (yof vertex

triangle j 2

) (xof vertex

triangle j

3

) (yof vertex triangle

j 3

) 
) 
) 
) 
) 
(if inc 
(progn 
(setq edges (qj-setnmth (nth 0 (nth (1- j) triangle)) 1 
(+ nedge 1) edges 
) 
) 
(setq edges (qj-setnmth (nth 1 (nth (1- j) triangle)) 2 
(+ nedge 1) edges 
) 
) 
(setq edges (qj-setnmth (nth 1 (nth (1- j) triangle)) 1 
(+ nedge 2) edges 
) 
) 
(setq edges (qj-setnmth (nth 2 (nth (1- j) triangle)) 2 
(+ nedge 2) edges 
) 
) 
(setq edges (qj-setnmth (nth 2 (nth (1- j) triangle)) 1 
(+ nedge 3) edges 
) 
) 
(setq edges (qj-setnmth (nth 0 (nth (1- j) triangle)) 2 
(+ nedge 3) edges 
) 
) 
(setq Nedge (+ Nedge 3)) 
(setq triangle (qj-setnmth ([n,m] triangle ntri 1) j 1 triangle)) 
(setq triangle (qj-setnmth ([n,m] triangle ntri 2) j 2 triangle)) 
(setq triangle (qj-setnmth ([n,m] triangle ntri 3) j 3 triangle)) 
(setq complete (std-setnth (nth (1- ntri) complete) (1- j) 
complete 
) 
) 
(setq j (1- j) 
temp j 
) 
(setq ntri (1- ntri)) 
) 
) 
);;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; 
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; 
(setq j 1) 
(while (<= j (1- Nedge)) 
(if (and 
(/= ([n,m] edges 1 j) 0) 
(/= ([n,m] edges 2 j) 0) 
) 
(progn 
(setq k (1+ j)) 
(while (<= k Nedge) 
(if (and 
(/= ([n,m] edges 1 k) 0) 
(/= ([n,m] edges 2 k) 0) 
) 
(if (= ([n,m] edges 1 j) ([n,m] edges 2 k)) 
(if (= ([n,m] edges 2 j) ([n,m] edges 1 k)) 
(progn 
(setq edges (qj-setnmth 0 1 j edges)) 
(setq edges (qj-setnmth 0 2 j edges)) 
(setq edges (qj-setnmth 0 1 k edges)) 
(setq edges (qj-setnmth 0 1 k edges)) 
) 
) 
) 
) 
(setq k (1+ k)) 
) 
) 
) 
(setq j (1+ j)) 
);;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; 
;;;;;;;;;;;;;;;;;;;;;;;;;;; 
(setq j 1) 
(while (<= j Nedge) 
(if (and 
(/= ([n,m] edges 1 j) 0) 
(/= ([n,m] edges 2 j) 0) 
) 
(progn 
(setq ntri (1+ ntri)) 
(setq triangle (qj-setnmth ([n,m] edges 1 j) ntri 1 triangle)) 
(setq triangle (qj-setnmth ([n,m] edges 2 j) ntri 2 triangle)) 
(setq triangle (qj-setnmth i ntri 3 triangle)) 
(setq complete (std-setnth nil (1- ntri) complete)) 
) 
) 
(setq j (1+ j)) 
);;;;;;;;;;;;;;;;;;;;;;;;;;; 
(setq i (1+ i)) 
);;;;;end of loop i 
(setq i 0 
temp (- 1) 
) 
(while (< temp ntri) 
(setq i (1+ i) 
temp i 
) 
(if (or 
(> ([n,m] triangle i 1) nvert) 
(> ([n,m] triangle i 2) nvert) 
(> ([n,m] triangle i 3) nvert) 
) 
(progn 
(setq triangle (qj-setnmth ([n,m] triangle ntri 1) i 1 triangle)) 
(setq triangle (qj-setnmth ([n,m] triangle ntri 2) i 2 triangle)) 
(setq triangle (qj-setnmth ([n,m] triangle ntri 3) i 3 triangle)) 
(setq i (1- i) 
temp i 
) 
(setq ntri (1- ntri)) 
) 
) 
) 
(setq Triangulate1 ntri) 
Triangulate1 
)

;;; std代替表中第n个元素的函数 
(defun std-%setnth (new i lst / fst len) 
(cond 
((minusp i) 
lst 
) 
((> i (setq len (length lst))) 
lst 
) 
((> i (/ len 2)) 
(reverse (std-%setnth new (1- (- len i)) (reverse lst))) 
) 
(t 
(append 
(progn 
(setq fst nil) ; ; possible vl lsa compiler bug 
(repeat (rem i 4) 
(setq fst (cons (car lst) fst) 
lst (cdr lst) 
) 
) 
(repeat (/ i 4) 
(setq fst (cons (cadddr lst) (cons (caddr lst) (cons

(cadr lst)

(cons

(car lst)

fst

)

) 
) 
) 
lst (cddddr lst) 
) 
) 
(reverse fst) 
) 
(if (listp new) 
new 
(list new) 
) ; v0.4001 
(cdr lst) 
) 
) 
) 
) 
(defun std-setnth (new i lst) 
(std-%setnth (list new) i lst) 
) 
;;; 代替二维表中第i行第j列元素的函数（i和j从1开始） 
(defun qj-setnmth (new i j lst / listb lista) 
(setq listb lst) 
(setq i (1- i)) 
(setq j (1- j)) 
(setq lista (nth i lst)) 
(setq lista (std-setnth new j lista)) 
(setq listb (std-setnth lista i listb)) 
listb 
) 
;;; 获取某个数组表第几项第几项的数值 
(defun [n,m] (a n m / i) ; n是行，m是列 
(setq i (nth (1- m) (nth (1- n) a))) 
i 
) 
;;; 获取某个单列数组第几项的数值 
(defun [n] (a n / i) ; n是行，m是列 
(setq i (nth (1- n) a)) 
i 
) 
;|Vertex has the form ’((x1 y1)(x2 y2)(x3 y3)(x4 y4)()) 
The function xofv is to get the x value of the i element,i start from 1|; 
(defun xofv (vertex i / res) 
(setq res (nth 0 (nth (- i 1) vertex))) 
res 
) 
;|Vertex has the form ’((x1 y1)(x2 y2)(x3 y3)(x4 y4)()) 
The function yofv is to get the y value of the i element,i start from 1|; 
(defun yofv (vertex i / res) 
(setq res (nth 1 (nth (- i 1) vertex))) 
res 
) 
;|Lis has the form ’(((x11 y11)(x12 y12)(x13 y13))((x21 y21)(x22 y22)(x23

y23))(()()())) 
The function xof is to get the x value of the i,j element,i and j start from

1 
and j is the outer sequence, and i is the inter sequence, total 3|; 
(defun xof (lisa lisb j v123 / res1 res2 res) 
(setq res1 (nth (1- j) lisb)) 
(setq res2 (nth (1- v123) res1)) 
(setq res3 (nth (1- res2) lisa)) 
(setq res (nth 0 res3)) 
res 
) 
;|Lis has the form ’(((x11 y11)(x12 y12)(x13 y13))((x21 y21)(x22 y22)(x23

y23))(()()())) 
The function xof is to get the y value of the i,j element,i and j start from

1 
and j is the outer sequence, and i is the inter sequence, total 3|; 
(defun yof (lisa lisb j v123 / res1 res2 res) 
(setq res1 (nth (1- j) lisb)) 
(setq res2 (nth (1- v123) res1)) 
(setq res3 (nth (1- res2) lisa)) 
(setq res (nth 1 res3)) 
res 
) 
;(defun append1 (new n lis / res1 res2 res) 
; 
; (setq res1 (nth (1- n) lis)) 
; (setq res2 (append 
; res1 
; (list new) 
; ) 
; ) 
; (setq res (std-setnth res2 (1- n) lis)) 
; res 
;) 
; 
;|Return TRUE if the point (xp,yp) lies inside the circumcircle 
made up by points (x1,y1) (x2,y2) (x3,y3) 
The circumcircle centre is returned in (xc,yc) and the radius r 
NOTE: A point on the edge is inside the circumcircle|; 
(defun InCircle1 (xp yp x1 y1 x2 y2 x3 y3 / InCircle eps mx2 my2 xc yc

m1 
mx1 my1 m2 mx2 my2 dx dy rsqr r drsqr 
) 
(setq eps 0.000001) 
(setq InCircle nil) 
(if (and 
(< (abs (- y1 y2)) eps) 
(< (abs (- y2 y3)) eps) 
) 
(alert "INCIRCUM - F - Points are coincident !!") 
(progn 
(cond 
((< (abs (- y2 y1)) eps) 
(setq m2 (/ (- x2 x3) (- y3 y2))) 
(setq mx2 (/ (+ x2 x3) 2)) 
(setq my2 (/ (+ y2 y3) 2)) 
(setq xc (/ (+ x2 x1) 2)) 
(setq yc (+ my2 (* m2 (- xc mx2)))) 
) 
((< (abs (- y3 y2)) eps) 
(setq m1 (/ (- x1 x2) (- y2 y1))) 
(setq mx1 (/ (+ x1 x2) 2)) 
(setq my1 (/ (+ y1 y2) 2)) 
(setq xc (/ (+ x3 x2) 2)) 
(setq yc (+ my1 (* m1 (- xc mx1)))) 
) 
(T 
(setq m1 (/ (- x1 x2) (- y2 y1))) 
(setq m2 (/ (- x2 x3) (- y3 y2))) 
(setq mx1 (/ (+ x1 x2) 2)) 
(setq mx2 (/ (+ x2 x3) 2)) 
(setq my1 (/ (+ y1 y2) 2)) 
(setq my2 (/ (+ y2 y3) 2)) 
(setq xc (/ (- (+ (* m1 mx1) my2) my1 (* m2 mx2)) (- m1

m2))) 
(setq yc (+ my1 (* m1 (- xc mx1)))) 
) 
) 
(setq dx (- x2 xc)) 
(setq dy (- y2 yc)) 
(setq rsqr (+ (* dx dx) (* dy dy))) 
(setq r (sqrt rsqr)) 
(setq dx (- xp xc)) 
(setq dy (- yp yc)) 
(setq drsqr (+ (* dx dx) (* dy dy))) 
(if (<= drsqr rsqr) 
(setq InCircle T) 
) 
) 
) 
InCircle 
) 
;|Determines which side of a line the point (xp,yp) lies. 
The line goes from (x1,y1) to (x2,y2) 
Returns -1 for a point to the left 
0 for a point on the line 
+1 for a point to the right|; 
(defun whichside (xp yp x1 y1 x2 y2 / equation) 
(setq equation (- (* (- yp y1) (- x2 x1)) (* (- y2 y1) (- xp x1)))) 
(cond 
((> equation 0) 
(setq whichside (- 0 1)) 
) 
((= equation 0) 
(setq whichside 0) 
) 
(T 
(setq whichside 1) 
) 
) 
whichside 
) 
(defun givetri (/ lis) 
(repeat 200 
(setq lis (append 
lis 
(list (list nil nil nil)) 
) 
) 
) 
lis 
) 
(defun givever (/ lis) 
(repeat 200 
(setq lis (append 
lis 
(list (list nil nil)) 
) 
) 
) 
lis 
) 
(defun giveedg (/ lis lis1 lis2) 
(repeat 200 
(setq lis1 (append 
lis1 
(list nil) 
) 
) 
) 
(setq lis2 lis1) 
(setq lis (append 
lis 
(list lis1) 
) 
) 
(setq lis (append 
lis 
(list lis2) 
) 
) 
lis 
)

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