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发表于 2010-1-5 10:02
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- (setq b2 (+ (* k2 xx) b2))9 @" D8 w& B) h" X" T. N* z1 ]& X
- (if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0), C. A5 g& |; I. c7 y% W
- (< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) ). c9 u* @" j0 p& I" H) W. U
- (progn
* ?7 X& z" k6 W6 K" e( W! y - (setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )
: [2 A2 G7 U' l; p% |2 g# |" L - (setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) ) - p! F6 T: z: L0 `( T1 j; L
- (setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )
4 z: k* s; V6 ?: }4 s. c; s: k - (setq b1 (+ (* k1 xx) (distance dm sx1)))9 [; Y4 x' M3 O* L2 Z2 x6 R
- (setq b2 (+ (* k2 xx) (distance dm sx2)))
1 o0 p( u v. v: k1 r - )
+ u- k- H' B' o7 | e - )5 s+ @" f6 s0 N* O4 ?4 H* l
- (setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))7 j# ^9 G/ E- x. b
- (setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
, o% M9 f$ H1 y; F! U/ O - (setq cen1 (list xx 0))2 c4 c q, V/ Z
- (if (or nil (and (< k1 0) (< (car p1) 0))
2 @$ u9 e( M) I: E' u% M - (and (> k1 0) (> (car p1) 0)))6 x6 y" K( y) \, C' F9 q7 r% m3 e
- (setq cen1 (list (- xx) 0)))% V, c7 e& D+ O' {
- (if (= 1 xxx) U1 @% L6 n3 c' }* h# `
- (progn
3 u$ n$ \2 R' I1 r# ~3 i& Y! ^ - (setq cen1 (rot-90 cen1))3 S, E1 J( B* f& Q# k
- (setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
6 Y" v4 A* S$ |# l6 U% G$ L: A - (setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))! e" p# d% F+ P: b- _0 M9 M
- (setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))" O2 y( g, M% o( G, G, E% N
- p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))- X: U1 N+ S; W+ y& d
- )5 W9 ^1 i# _! Q# S+ E
- )
& N! S2 }, y# c- B( ] - (if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))
( d% _: p: L4 l6 }3 `4 @" A: ` - (progn
& k: f' M9 W0 t$ h2 h, G - (alert "你输入的距离不合适!")
6 t# X- b" q2 K7 h0 D - (setvar "cmdecho" oce)
! f( C" g F1 {/ @/ \ - (setq xxx 18)
' }" z) m; X% Z3 b5 K - (princ)
1 _% n t1 ~! O5 V% M3 T5 Z - )
1 W! A3 W% H, ?; I4 M+ w* l B) y, K - (progn
+ k0 E% p" p8 h3 o7 u - (setvar "osmode" 0). {& [ N- J" ~/ j
- (command ".ucs" "O" pm)
# J6 o1 Z, o! c B/ u - (command ".line" p1 p2 p3 p4 "C") ; V- l" ^ e& y7 J/ ^! H
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))
' _0 `- F! p- ^6 Q( B, X - (setvar "osmode" oldmode); H; x5 w9 T8 b! ^- H. l- V6 @
- (setvar "cmdecho" oce)
. l/ y4 m) U, [/ ?7 H - (princ)/ S/ b& d2 v5 C, g; X
- )" P% c+ P- s# r: s) n/ z2 _
- )
; N5 Z: z& D' d2 _. x2 t. s+ X - )) 9 a, H. J1 ^5 m$ m* K( @) W0 y% q
- (t (progn8 A* p+ @2 l$ M" X! w$ U* P( S
- ;;计算直线截距和斜率------------------
/ e& j+ r1 |+ f/ o: X - (setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))
9 m5 f: N1 ^. ~1 H6 `1 y. R- p' [ - (setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))7 W. Z# y6 t( {, j
- (setq b3 (/ (det2 p3 p4) (- (car p3) (car p4))))
0 ~/ `0 ^/ ?7 \4 V0 I( t% j! m* e - (setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )( p4 ^ F: T$ r0 B5 W9 K+ l/ V
- ;;定义求解椭圆长短轴线函数------------5 I1 b; `% w: Y3 G; z( ^" E1 G
- (defun solvef (k1 k2 k3 k b1 b2 b3 / a b c g1 g2 s11 s12 s13 s21 s22 s23 sx1 sx2 sy1 sy2 kk1 kk2 kk3)
3 ?* T0 `- ^: @3 o! p0 \$ ~ - ;;(defun solvef (k1 k2 k3 k b1 b2 b3)
1 \4 d9 l9 l; {2 X# V+ D% y - (setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k))
$ H+ ?; n4 S# m4 u% ^& |. z - (setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))7 O' A- p) |3 o3 w
- (- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1)), {7 Z- R8 ]7 x. ~% w) O( F, h/ A
- (- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2))))- H7 R7 e" x( N" k4 u* Q( c/ _ q
- (if (< (abs a) 1e-8) (setq a 0) (princ))# j7 p8 L0 \2 _2 }
- (setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))
0 z6 ^3 q0 R& _, B/ | - (* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))
2 ~; B& v2 w _+ s( e% {" Y2 D - (* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2))))) [( f+ }/ D% E' ^' @1 F
- (if (< (abs b) 1e-8) (setq b 0) (princ))
" t4 z1 V* P) d8 L - (setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))
) _# C8 E. R4 q$ o - (- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))" B# d0 [6 \ g& a* k* {
- (- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1))))8 R! C: f4 [& A1 a' r( p z
- (if (< (abs c) 1e-8) (setq c 0) (princ))
! I" S7 A7 |( g) |. a - (setq g1 (roots a b c) g2 (cadr g1) g1 (car g1))
4 g- R8 s. U% R5 p. S/ Y7 f b - (setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))* f9 ^5 M# _) X% r( _. q- ?* ?/ V
- s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3)))
% T2 M- W) U8 k( }: s% } o9 l2 J4 ~, T - (defun solvex (k1 k2 k3 s1 s2 s3)
2 \. Z( G) k+ h) Z% ] - (cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
' {5 C9 o0 P3 H, b! M - ((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) )
+ s, v# U& U* O - ((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) )
3 |8 o3 P" u: j9 Y2 }. p3 q7 _ - (t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )! R: P( q3 X1 U+ ~" S7 ?
- ) # q% [* C( }& _0 G" l( O J: ^+ `
- ). ?, U! C8 X: x6 X$ k% B; `
- (setq sx1 (solvex k1 k2 k3 s11 s12 s13))
" Q0 j4 {' n' ^/ n - (setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))- K" H0 j8 T! y: n
- (setq sx2 (solvex k1 k2 k3 s21 s22 s23))
" w6 ], x: c& r% f$ K8 S - (setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2)))))
' ^ ]' h' V6 A- ? - (list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2)) 8 H2 W, N7 X, R: H. Q
- )6 u( o U5 I2 ]4 G
- ;;计算椭圆的长短轴和中心--
1 r( l3 R2 R) a - (setq so (solvef k1 k2 k3 k b1 b2 b3))3 u( T% L2 H% ]8 t
- (setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so)))
; q+ }- }" i) x! } - (setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so)))
; _: S8 O# J$ |8 X8 L6 y - (if (= 1 xxx)# P* I& W# ]* _6 j6 f f
- (progn
0 B% F7 ?. L3 r+ V - (setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so)))5 z. z4 r' U2 I, [
- (setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so)))
4 | G& d5 B- Q e7 q - (setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))
2 ]' U5 c" ]5 F5 ~$ @5 K* w+ Q - )
! `/ N4 q, D3 H - )
7 F% \- k4 O6 r - ;;判断中心点是否在四边形内
! ?9 c! z9 B( ~7 j1 B2 q6 `: P - ;;并且判断所求是否满足要求
2 W1 Y6 `: I. y0 [! G3 ?9 l - (if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5))
9 [, Q8 [1 @5 E3 r) N. y - (or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2)))
/ w1 M2 i! B i/ S) F! y3 ` - (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
9 K* x. l6 d' H - (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2))) G$ `: h" k1 M) _& L
- (setq xxx 2)5 N& @$ d1 x% |! s6 f: {( H
- (setq cen1 cen2 long1 long2 short1 short2 xxx 3)
( {% K5 {! j( y: k, S8 G1 d. J3 Q - )0 h" }0 q0 }0 g: W
- (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))" h$ `$ ], F! A( j
- (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
0 L8 D! m4 M0 u - (setq cen2 cen1 long2 long1 short2 short1 xxx 4)
- q" Z9 b* z0 G* X) H. }2 Q9 B - (setq xxx 5) 6 F5 a/ h$ t+ v
- ) ) {$ y1 F% V3 r( e W
- )
" S9 p8 |: P4 I - ;;画椭圆------------------
3 [9 L) h- t" [- {( Q - (setvar "osmode" 0)9 v2 R, G) K& {' L2 V9 r
- (command ".ucs" "O" pm)/ }9 ~) p" ^9 o$ i7 J4 Y7 }# }
- (cond ((= xxx 2)
/ J Q7 [# a# L# s( B - (progn; M* x& V* l1 F+ E
- (command ".line" p1 p2 p3 p4 "C") 4 f6 t G' B( ]* ]9 P, X( k
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))4 @# S0 ^ a5 x! S8 J* T
- (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
) L9 m& ?9 Y8 E: J) \% y4 D - )) }! J& E& w- U R( V( e
- ((= xxx 3)
|: C. N! Z) ] - (progn
- W" ~4 b! ] M( I - (command ".line" p1 p2 p3 p4 "C") $ i1 R4 O1 N- r1 g
- (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
& p4 k! E" L" h3 i5 E - ))" n0 w; `0 c2 F" l$ p4 ?! K
- ((= xxx 4) U$ r3 C7 [2 @- B1 x7 ^1 j
- (progn
- y9 ]& A% N8 w- P9 l - (command ".line" p1 p2 p3 p4 "C")
0 w2 ]0 U3 o1 A% { - (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))0 l* W+ t2 C, {$ t
- ))7 Q: o% A( S z4 H) k
- ((= xxx 5)3 H$ ]" X# [7 p* j) X, X
- (progn
0 h, e0 _" ^- m - (alert "椭圆轴长或比率太少,无解")
* s, f9 \6 j/ S% b' ]- m8 ] - (princ)! u6 L0 V! b7 z0 b2 a# P3 n7 M" `
- ))* _+ Y& V! g% s
- )
( V8 A5 q6 k% n S" g P# z - (command "ucs" "P")
t$ \5 T, I5 m7 Y - (setvar "osmode" oldmode)9 n& C, {5 K* P: ]7 l3 T& I( [
- (setvar "cmdecho" oce)- D; s- L& n' B4 Q: l% r
- (princ)
4 u6 v* R4 }0 { - )
$ V) T6 x6 ?: s# e6 G; y6 ` - )2 e' e2 K' n9 S7 J+ |
- )
# J( S" b4 B& y) e, r; X3 c4 b - )) D9 z" N, v; y
- )
* a5 k) G" p4 H - )+ _2 P, Y) i# E& {
- )" ^& c1 C0 H. z! U
- )
0 w& i O5 P4 K) k$ X% q; U% c - )
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