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发表于 2010-1-5 10:00
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- ;;------------------------------------
( a: h: s$ y3 g+ C2 E$ s O' k* P* W - ;;进入程序主段------------------------1 B& j, s! ?9 Z; \ {( o
- (cond ( (= 0 (* (ang p1 p2 p3) (ang p2 p3 p4) (ang p3 p4 p1) (ang p4 p1 p2)))
* {& I( a8 A4 b+ z2 O - (progn (alert "有三点在同一条直线上\n请重新输入") (setvar "cmdecho" oce) (princ)))
" Z- J* K7 R+ R- X" \, S/ V5 ?5 B - ( (or nil (inner p1 p2 p3 p4) (inner p2 p3 p4 p1) (inner p3 p4 p1 p2) (inner p4 p1 p2 p3))1 g( E6 k/ {& Y
- (progn (alert "这是一个凹四边形\n无解") (setvar "cmdecho" oce) (princ)))! }0 `/ w) A X0 Y/ H* V4 B d( m
- (t
" p+ E/ e: D% @" \( U - (progn
/ R7 R2 G1 U0 ~; L7 {. j - ;;判断3、4点是否在同一边,否则交换2、3
- I2 Z( j8 h! E5 a% w0 X - (defun same (p1 p2 p3 p4)+ Q7 S( Q1 Z8 }- k( p
- (if (< 0 (* (det p1 p2 p3) (det p1 p2 p4))) (list p2 p3) (list p3 p2)))7 n' c) f' N P s6 A2 R3 |) c
- ;;交换坐标,使之成为顺序排列----------( j5 W. H& {. \1 n( [
- (setq pch (same p1 p2 p3 p4))
" N/ v1 Y, s% B. P% C& X - (setq p2 (car pch) p3 (cadr pch))
9 m, h- {0 z) E - (setq pch (same p1 p4 p3 p2))* \0 H' q; M9 }
- (setq p4 (car pch) p3 (cadr pch))
+ F9 I- u# r* r8 m/ D# m - ;;取中点为原点------------------------ J- W& O, ?# T [; r
- (setq pm (midp (midp p1 p3) (midp p2 p4))), n) j, d' S O" O. R' q
- (setq pm (list (car pm) (cadr pm)))* |( d9 y) L4 F& U# ]
- (setq p1 (sub p1 pm) p2 (sub p2 pm) p3 (sub p3 pm) p4 (sub p4 pm))$ B; w4 m0 a0 E6 S
- ;;定义直线斜率------------------------% G# i6 K# z) s7 i# I- K! V" @
- (defun tank (p1 p2)+ s0 X: p! W% S- G: [' @
- (/ (- (cadr p1) (cadr p2)) (- (car p1) (car p2))))
+ u8 K4 q' a; M+ I; p - ;;定义旋转90度函数--------------------7 y, y, ~. V) j
- (defun rot90 (x) (list (- (cadr x)) (car x)))
. [0 T6 W, b* _6 k: [: N u2 t - (defun rot-90 (x) (list (cadr x) (- (car x))))
4 E6 j0 n* c: _* Q3 E1 @5 _; x - ;;判断是不是平行四边形----------------
% V. V4 m: [% D; i/ Q - (setq dm (distance (midp p1 p3) (midp p2 p4)))0 M D* m1 n d8 ]6 k/ ]
- (if (< dm 1e-8)
6 t U( Q& V# _! p - (progn
3 W# z9 v1 l9 Y - (if (and (< (abs (- (ang p1 p2 p4) (/ pi 2))) 1e-8)
* _, o# j9 Z w r9 R- k - (or nil (< (abs (cos (angle p1 p2))) 1e-8) (< (abs (cos (angle p1 p4))) 1e-8)))
5 Z7 X; a' K: g - (progn
* t+ c9 G5 m+ c+ C0 ?/ z - (princ "这是一个平行xy轴线的长方形")
1 K4 T- O, M0 K, F% ^8 s8 K2 h - (setvar "osmode" 0)
" M) V) T) b1 J2 V/ T) `# [ - (command ".ucs" "O" pm)
/ V9 F9 Z0 e& W6 U6 m - (command ".line" p1 p2 p3 p4 "C")
4 s9 n. W+ \0 {. |% S! o - (command ".ellipse" "C" '(0 0) (midp p1 p2) (midp p1 p4))
* g7 F0 g% L0 l7 L& s& |% D) q - (command "ucs" "P")
* b5 ~2 P0 g7 c4 V- Z - (setvar "osmode" oldmode)
+ L+ N) U/ f W: Q - (setvar "cmdecho" oce)
" L. E0 p/ Y" B5 [ - (princ), I v8 W( K9 ~2 Y& B: F
- );;判断是不是平行xy轴线的长方形----
* I3 ~9 E x6 I; D - (progn$ W9 }% _! k+ q+ R
- (if (or nil (< (abs (cos (angle p1 p2))) 1e-8) (< (abs (cos (angle p1 p4))) 1e-8))
5 }' @$ l: k( p - (setq p1 (rot90 p1) p2 (rot90 p2) p3 (rot90 p3) p4 (rot90 p4) yyy 1)/ Y$ V6 Y/ G( c) M8 H
- (setq yyy 0), A3 A3 G4 \, r4 g9 ?! C7 [& j' R
- )
0 d2 ^3 u: a: ~) y' X* [( F5 [ - (setq b1 (/ (det2 p1 p2) (- (car p1) (car p2)))): j: k8 l( B* x+ w7 s/ k5 j0 g) T
- (setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))
0 W& ]4 u) }7 q3 O1 {. k - (setq k1 (tank p1 p2) k2 (tank p2 p3))
0 ]3 H* A* P9 _ {/ o5 z- t( n - (setq kk (- (sqr k1) (sqr k2)))0 |% W: Y, C/ B! r! E
- (setq bb (- (sqr b1) (sqr b2))). f R: v( ?! D
- (if (and (< (abs (- (ang '(0 0) p1 p2) (/ pi 2))) 1e-8)8 N& t: J) ^) n( B: h j. n/ v# w
- (< (abs (* (sin (angle p1 p3)) (sin (angle p2 p4)) ) ) 1e-8))
! C! X. b3 ] d+ K8 h1 n: { - (progn
: `# P& p1 R0 @& z$ H9 W) T - (if (< (abs (sin (angle p1 p3))) 1e-8) (setq zzz 1) (setq zzz 0)) b" Z& ]6 ?' \- E
- (if (< (distance p1 p3) (distance p2 p4))& W* \" s f# _
- (setq rmin (/ (distance p1 p3) 2) rmax (/ (distance p2 p4) 2) xxx 0)* F6 I2 p7 E- f. T
- (setq rmin (/ (distance p2 p4) 2) rmax (/ (distance p1 p3) 2) xxx 1))
! b% G; T; W& ~. k- r - (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")
) U9 R3 {0 s2 u2 z, W/ V8 ?9 [' n - (setq short1 (getdist "\n请输入一个距离:"))# a! T* z3 [: b! P3 j. V
- (if (<= (- (sqr rmin) (sqr short1)) 1e-4)
9 A4 j. c* r! V) h' a - (setq short1 (/ rmin 2)))
9 f+ A: ~. a' ^0 `) i: o& H - (setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) )2 }8 T, h9 @. L2 f; H
- (if (or nil (< short1 1e-4) (< long1 1e-4) (< (/ short1 long1) 1e-4) (< (/ long1 short1) 1e-4))
9 z# K9 q* X' M8 E, x% u - (setq short1 (/ rmin 2)) )" ]3 R p$ q! P( H3 E
- (setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) ), @( U; u. ^2 ?' q+ A: k
- (setvar "osmode" 0)
' a! u) p( }" u7 j - (command ".ucs" "O" pm)( m6 T, j& ]" v6 S) g. _
- (command ".line" p1 p2 p3 p4 "C")+ \3 D' W- U# h' t0 A1 S, X4 D
- (if (or nil (and (= xxx 1) (= zzz 1)) (and (= xxx 0) (= zzz 0)))
. U4 z \5 u" d - (command ".ellipse" "C" '(0 0) (polar '(0 0) 0 long1) (polar '(0 0) (/ pi 2) short1))- H4 U( Z8 W# y3 E
- (command ".ellipse" "C" '(0 0) (polar '(0 0) 0 short1) (polar '(0 0) (/ pi 2) long1))2 X% C6 f7 L% r% Z8 T P
- )! @ U3 }. A7 t' u5 v% P
- (setvar "osmode" oldmode)$ `6 U {9 R0 T+ P$ E- Z
- (setvar "cmdecho" oce)
2 T2 D7 |4 I s, \6 f0 k y - (princ)
" K. l4 p5 Y- x1 G/ T - );;判断是不是平行xy轴线的菱形---
. D9 F7 q6 K- z6 `+ q; Q, F1 k; N - (progn1 t) {' E v7 B3 w' Q8 x& U7 j& Q4 ]) b
- (setq yy (/ (- (* (sqr k1) (sqr b2)) (* (sqr b1) (sqr k2)) ) kk ) ). B( Z Y z8 g, r- [( w
- (if (or nil (< (/ kk bb) 0) (< yy 0))! Q, p# P, |. A' ?6 n% F5 O! V" \4 y
- (progn (alert "平行四边形在这个方向无解") (setvar "cmdecho" oce) (princ))
y# M0 i9 p4 L - (progn + ?0 S- \: F3 S; t) z
- (if (= yyy 1)" k& o, N2 W, I6 T
- (setq long1 (sqrt yy) short1 (sqrt (/ bb kk))
' e& L4 S h5 ?; e2 Z - p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))
8 @: Z) T, y# l7 T, M' } - (setq long1 (sqrt (/ bb kk)) short1 (sqrt yy))
- ]1 L6 M" b/ p5 j4 f6 \ - )
5 S& [& R% b2 A$ t2 @- M - (princ "这是一个可解平行四边形")
/ @1 c! s" {* ^! S5 A - (setvar "osmode" 0)
# y4 ^' g x7 t0 X4 M - (command ".ucs" "O" pm)
! c: u$ h3 K ]/ G) q - (command ".line" p1 p2 p3 p4 "C"), ~, B& U. U; U: ]; Z) D
- (command ".ellipse" "C" '(0 0) (polar '(0 0) 0 long1) (polar '(0 0) (/ pi 2) short1))
8 Z7 }' R1 w* `, z+ W6 F/ Q8 ^ - (command "ucs" "P")
( u- g$ A' T5 P# g7 P0 k6 ?0 S - (setvar "osmode" oldmode)% Y& _8 Q$ G" \- T0 X2 C" `
- (setvar "cmdecho" oce)
7 i$ N8 m& p2 b* R- s - (princ), k% }; |' V T- X! i3 T9 q
- )
1 e. c* y5 K2 `" n - )8 `1 P: k0 ]1 v0 [
- )) {5 @* L* D, O" x% k
- )4 f/ J0 y# a4 @, b0 G3 Z- z* A3 q% a
- )
/ f, I" v& ^3 A: M; I# w* w - )# t7 S7 F, F* q. n1 {9 U
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