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发表于 2010-1-5 10:00
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- ;;------------------------------------. S8 V* u0 t8 f+ ]' Z, }6 K
- ;;进入程序主段------------------------) T" i' b9 k. I$ K, b
- (cond ( (= 0 (* (ang p1 p2 p3) (ang p2 p3 p4) (ang p3 p4 p1) (ang p4 p1 p2)))4 _8 O3 X3 \: }
- (progn (alert "有三点在同一条直线上\n请重新输入") (setvar "cmdecho" oce) (princ)))7 N7 k" @2 W" X- E$ ], _
- ( (or nil (inner p1 p2 p3 p4) (inner p2 p3 p4 p1) (inner p3 p4 p1 p2) (inner p4 p1 p2 p3))
% T" v' E% N. P1 I! m - (progn (alert "这是一个凹四边形\n无解") (setvar "cmdecho" oce) (princ))): g6 r5 p( l4 \ F
- (t 5 C. @4 n& X5 k8 T
- (progn
# a* Y# c) [+ z$ K - ;;判断3、4点是否在同一边,否则交换2、3: L+ V2 |2 ?: _: U6 o
- (defun same (p1 p2 p3 p4)5 i1 M/ ^4 M! r3 u
- (if (< 0 (* (det p1 p2 p3) (det p1 p2 p4))) (list p2 p3) (list p3 p2)))3 c, {9 H7 b% K" @' e1 S" i
- ;;交换坐标,使之成为顺序排列----------% z& K3 v2 M* e, w3 ~
- (setq pch (same p1 p2 p3 p4))
9 F7 F% u- y- ?6 C - (setq p2 (car pch) p3 (cadr pch))
9 G! z3 K( B) m" k& P7 H1 \ - (setq pch (same p1 p4 p3 p2))
: e8 _* P3 j! t! O5 l5 O - (setq p4 (car pch) p3 (cadr pch))
7 `! ?5 o+ e$ _6 ]2 }: P: L - ;;取中点为原点------------------------
+ f4 y; P$ k7 d - (setq pm (midp (midp p1 p3) (midp p2 p4)))
( T* ^5 B8 b& I; D% Q/ _& q' B H - (setq pm (list (car pm) (cadr pm)))
0 P% ]& K6 [/ N ^* r4 S9 z7 J - (setq p1 (sub p1 pm) p2 (sub p2 pm) p3 (sub p3 pm) p4 (sub p4 pm))
' K. E+ {" d% z* z* E- B - ;;定义直线斜率------------------------7 D/ k1 \+ C n; [" c$ B4 x
- (defun tank (p1 p2)" ~3 y4 K1 e: ~& N
- (/ (- (cadr p1) (cadr p2)) (- (car p1) (car p2))))
" f; |8 l7 X6 b x% R; A - ;;定义旋转90度函数--------------------
/ _. A/ ?! D# a K0 B! U - (defun rot90 (x) (list (- (cadr x)) (car x))): B2 x( z$ T; w& |8 i+ ^
- (defun rot-90 (x) (list (cadr x) (- (car x))))* {) ^: W/ F8 s0 z
- ;;判断是不是平行四边形----------------
) g0 K! T) e& F" x! r0 h2 b - (setq dm (distance (midp p1 p3) (midp p2 p4)))
0 v$ N0 e7 J* c - (if (< dm 1e-8); `9 _% q- w/ N2 E0 s, `% F/ k
- (progn* Q: ^4 Y8 N: J( y1 M8 x0 X j
- (if (and (< (abs (- (ang p1 p2 p4) (/ pi 2))) 1e-8) L; G( O6 @7 @+ T( t
- (or nil (< (abs (cos (angle p1 p2))) 1e-8) (< (abs (cos (angle p1 p4))) 1e-8)))
. z. H& m, j+ S$ j9 b" N" N - (progn
/ b. N2 E5 ^ t# Q4 b - (princ "这是一个平行xy轴线的长方形")
1 U, d/ M, w' [8 K1 y# m2 l - (setvar "osmode" 0)5 j' d# b) b* W+ E, e7 ]. B
- (command ".ucs" "O" pm)
7 r, F8 b0 d7 O5 i7 ? - (command ".line" p1 p2 p3 p4 "C")
, U1 J, a: c1 Z2 |8 I4 m - (command ".ellipse" "C" '(0 0) (midp p1 p2) (midp p1 p4))
1 R% a: B* r: [ - (command "ucs" "P")
! f/ r' N# s( \7 O - (setvar "osmode" oldmode) g% z9 j. _2 o0 a s
- (setvar "cmdecho" oce)" j" z% O& V$ a' D
- (princ)) s. S: U E Z
- );;判断是不是平行xy轴线的长方形----
* X, s0 c# b6 J0 Y' U# m" z - (progn
; U# L S4 t% b - (if (or nil (< (abs (cos (angle p1 p2))) 1e-8) (< (abs (cos (angle p1 p4))) 1e-8))
3 Y+ b: I6 @& P$ N - (setq p1 (rot90 p1) p2 (rot90 p2) p3 (rot90 p3) p4 (rot90 p4) yyy 1)2 D- D; y4 X1 w6 m
- (setq yyy 0)
% w! k8 U9 [1 ?- p7 |! u - )( `) h2 C2 W/ c7 T6 S, n
- (setq b1 (/ (det2 p1 p2) (- (car p1) (car p2)))): T! c+ ^0 ~* L8 L+ c/ ~8 |
- (setq b2 (/ (det2 p2 p3) (- (car p2) (car p3)))); O) P3 h# W& t
- (setq k1 (tank p1 p2) k2 (tank p2 p3))9 ~" n. H7 M M+ X2 D" e* f
- (setq kk (- (sqr k1) (sqr k2)))
8 c' T! M) J/ s - (setq bb (- (sqr b1) (sqr b2)))7 G) T; C6 T! F4 j
- (if (and (< (abs (- (ang '(0 0) p1 p2) (/ pi 2))) 1e-8)
& ~1 J f) ]4 u' B& I# m - (< (abs (* (sin (angle p1 p3)) (sin (angle p2 p4)) ) ) 1e-8))
% B) b6 w( O/ @7 n5 H - (progn8 S$ W, w! B8 d; n: H8 w' o; O. q- u- ^0 K
- (if (< (abs (sin (angle p1 p3))) 1e-8) (setq zzz 1) (setq zzz 0))6 M: A9 b, X5 U
- (if (< (distance p1 p3) (distance p2 p4))
# I) w- C" o- { - (setq rmin (/ (distance p1 p3) 2) rmax (/ (distance p2 p4) 2) xxx 0)# F! ]/ G# i( y( u# k0 ^+ I
- (setq rmin (/ (distance p2 p4) 2) rmax (/ (distance p1 p3) 2) xxx 1))
) e- l1 Q* H: z* x ` - (alert "这是菱形,在这个方向有多解!\n请给出一个距离,如果距离大于半对角线长,\n将给出一个指定的内切椭圆")
6 R m3 L \; G - (setq short1 (getdist "\n请输入一个距离:"))) a6 q- }. O" \) L4 U
- (if (<= (- (sqr rmin) (sqr short1)) 1e-4)
5 t* x, c3 \$ x+ t - (setq short1 (/ rmin 2)))
3 c% N! b* D* e, ]; w7 f+ x5 P1 V7 ~ - (setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) )
, [. _2 l: b, ^4 i! r# ?& N - (if (or nil (< short1 1e-4) (< long1 1e-4) (< (/ short1 long1) 1e-4) (< (/ long1 short1) 1e-4))
/ O. W* D- ~! i+ _( u5 o - (setq short1 (/ rmin 2)) )
% f5 }- C- K3 c - (setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) )# H1 [: u( d" U- m. Z9 ?
- (setvar "osmode" 0)
" g$ h# b$ `! W1 G v - (command ".ucs" "O" pm)
2 X, e3 d; I6 i4 Y" F5 G n# l - (command ".line" p1 p2 p3 p4 "C")
O2 Z6 Z M% ~8 q% V) j' @+ ? - (if (or nil (and (= xxx 1) (= zzz 1)) (and (= xxx 0) (= zzz 0)))
& |7 C, [/ V- Y/ O5 ] - (command ".ellipse" "C" '(0 0) (polar '(0 0) 0 long1) (polar '(0 0) (/ pi 2) short1))- ]" O% O# J2 E6 A3 z. T' x
- (command ".ellipse" "C" '(0 0) (polar '(0 0) 0 short1) (polar '(0 0) (/ pi 2) long1))' Q: e7 L' G7 a, j
- )
- X, P5 _; e, W& J2 Y3 q/ P# j - (setvar "osmode" oldmode)4 [2 I6 l5 s" ]0 h8 M) ]
- (setvar "cmdecho" oce) ^& u0 j+ d* r+ [% Q4 [
- (princ)
' [ {% B; s$ b( W, [) y1 K5 A. { - );;判断是不是平行xy轴线的菱形---
2 Z' ~5 R& j3 m" o4 P% ^# J# X - (progn
1 J9 i3 d }3 A2 X1 u - (setq yy (/ (- (* (sqr k1) (sqr b2)) (* (sqr b1) (sqr k2)) ) kk ) )
. x/ D2 V N' U4 Q* Z3 w; A - (if (or nil (< (/ kk bb) 0) (< yy 0))
' W/ }# i( z; f; q0 \& V, b* m - (progn (alert "平行四边形在这个方向无解") (setvar "cmdecho" oce) (princ))- ^! v' |4 p+ j& ]! S. v7 x
- (progn - `3 a" p! Z6 b) X$ ]4 k- q$ h
- (if (= yyy 1)
. J. J, d8 e9 a6 ]. v4 g: r - (setq long1 (sqrt yy) short1 (sqrt (/ bb kk))
- v! M- k2 h; W - p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))" ?, O/ A! p" M7 g
- (setq long1 (sqrt (/ bb kk)) short1 (sqrt yy))
8 h% H- v! C$ n - )
3 b0 e3 n' k% ]" w' q+ X- A/ [ - (princ "这是一个可解平行四边形")
( P8 U" W1 T7 E: \9 ] - (setvar "osmode" 0)3 t% k$ h) b4 Z5 `
- (command ".ucs" "O" pm)
, e1 q- L. v$ ? - (command ".line" p1 p2 p3 p4 "C"); H2 K8 f; q" w, W
- (command ".ellipse" "C" '(0 0) (polar '(0 0) 0 long1) (polar '(0 0) (/ pi 2) short1))
8 q/ @$ `* C, G- s* D) L - (command "ucs" "P")
6 u! F! l1 a' Q) F8 Q X - (setvar "osmode" oldmode)
1 K4 j5 t; w/ m - (setvar "cmdecho" oce)
+ H4 P# L( U! Y. i) h - (princ): D4 L. j9 C1 l9 D9 R& @
- )
$ w# o/ r; j! [ - )# v( l( X% m7 t2 d1 J9 g
- )- _2 c }: c- {; h8 V0 l( u" r
- )0 i% j3 q2 c @, V, r
- )" c. E- u- u$ z& p$ S% U
- ). ?! b1 X5 n; Y. N' q- a
- )
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