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发表于 2010-1-5 10:02
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- (setq b2 (+ (* k2 xx) b2))' x4 |: a% h5 M: }6 E
- (if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0)
# d/ C0 {8 F& H* T! ? - (< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) )
! a: `/ |% R. i: S - (progn
5 _2 V* W3 g: u' f& X* O - (setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )
+ ]2 d/ B& u- X# }/ e+ Y - (setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) )
& l+ K; a4 ^. U - (setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )! K8 y1 }7 U! s5 W0 M; U" @
- (setq b1 (+ (* k1 xx) (distance dm sx1)))* f/ A5 C4 \7 S1 g& F6 w# b- X
- (setq b2 (+ (* k2 xx) (distance dm sx2)))4 H+ d/ h2 L; s1 c& d
- )- m) q9 h' K7 A5 v! v
- )
; E. ^, T) c9 ~9 x& `5 f9 S - (setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))9 x! j, f! N2 n4 s% l
- (setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))4 u8 C5 P4 [9 d& Z, `- O
- (setq cen1 (list xx 0))% t' O) M- c' g) V* V) h
- (if (or nil (and (< k1 0) (< (car p1) 0))$ _+ Q" d1 K* S- L9 a- ~
- (and (> k1 0) (> (car p1) 0))); f# D" d$ m- M; p$ V* k/ ?
- (setq cen1 (list (- xx) 0)))
! W! |% O" S5 c$ @ { - (if (= 1 xxx)7 J( A2 D% j9 u, u
- (progn. B: `1 h3 O" S, X, Y
- (setq cen1 (rot-90 cen1))
, I9 K: A8 t; v( Q - (setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
0 `! R8 Q( G) H# [; N - (setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
, B9 u" }, d5 U0 t2 J+ h, R4 f6 n% X - (setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))
2 m5 C& z! a7 k$ P8 G" ? - p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))1 h& u, B; | K* L D. ?
- )
7 D% k% ]( O6 J) T$ Y/ a' ~0 i - )' L9 M7 w1 u4 \2 A Y2 [& o
- (if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))- L% b1 n6 G2 f" Y7 d
- (progn" \+ B4 r! o/ y+ X
- (alert "你输入的距离不合适!")
) L+ _+ q' Y& U9 C - (setvar "cmdecho" oce)3 H$ E4 {' c4 u3 u& h
- (setq xxx 18)
7 h$ m7 e' W2 B- f - (princ)
: |* H* G' ~! g5 x - )
* \6 }3 \1 R" n; J0 e% V/ v - (progn
& @5 j, w. N4 ~3 B* X1 r. y! U - (setvar "osmode" 0)8 G) |# I7 f! |# C
- (command ".ucs" "O" pm)
; V; `0 ^* g$ C9 G0 `, f @ - (command ".line" p1 p2 p3 p4 "C") " }+ z4 \# ^5 s d+ T1 @/ w+ b. H
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))) I6 \7 R8 ]. C6 M+ _9 u9 R
- (setvar "osmode" oldmode)
4 q; ]/ e, M: p& V) B ?1 e - (setvar "cmdecho" oce)0 B# H; N. B7 T, R8 S5 C% I, L
- (princ)
' K' u& v$ Z" p# K) [, q5 E3 N, c - )8 N( C3 ~, W! L
- )" w5 ^' `# z+ S% {/ v# `5 m
- )) 9 e5 _7 T' i" l0 s4 k
- (t (progn V/ E4 [' R: n: z
- ;;计算直线截距和斜率------------------
; o8 F! T/ x( I7 z - (setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))
, b2 _4 n/ g, C6 u% f - (setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))
! i1 j8 N) y3 { - (setq b3 (/ (det2 p3 p4) (- (car p3) (car p4))))
/ }) s* q3 H8 v# i6 R5 l- L$ Z! E - (setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) ); W! Q; U W3 Y) P. b
- ;;定义求解椭圆长短轴线函数------------& l! m0 q3 q: X8 ]
- (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)+ u \& g$ M9 g
- ;;(defun solvef (k1 k2 k3 k b1 b2 b3)
C+ }1 f4 p' L% k - (setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k))
* b; b! D6 K7 x/ r9 _7 ^ - (setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))
, p) p$ b( y4 g4 P# f8 A - (- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))% |7 ?8 I$ g- f0 L% I
- (- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2))))
3 u8 {0 K* g. J8 U' r( v7 e5 l - (if (< (abs a) 1e-8) (setq a 0) (princ))7 Z2 ]# }& x, ]" C# f6 j/ B
- (setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))
8 V/ A1 `% z4 f6 \2 X' y - (* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))- ~" o+ a7 N4 W
- (* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2))))
0 ~9 ~' A8 p6 y7 B - (if (< (abs b) 1e-8) (setq b 0) (princ))0 G8 B* L5 |3 d6 S2 M' m
- (setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))% B4 \1 m2 B4 F7 N( v1 D
- (- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))! J( i, q& K6 h% y! R k4 V! y/ J* r
- (- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1))))
* H$ C3 T" Z( E$ ~$ J ^ - (if (< (abs c) 1e-8) (setq c 0) (princ))
" \) B \6 q" j8 I% S/ E - (setq g1 (roots a b c) g2 (cadr g1) g1 (car g1))4 s& B1 ?( L- y/ _9 H0 a* u
- (setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))
0 B3 b3 v' @7 I. b. M - s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3))) % q- t/ J+ a' L( b
- (defun solvex (k1 k2 k3 s1 s2 s3)
$ q" I: s @2 n1 e - (cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
9 L! a0 v9 v ~6 z. q - ((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) ); D% g! g1 B% p: p: x8 C7 f
- ((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) )
" O6 k) ~7 m- F8 |9 X6 f8 G - (t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
+ _0 ]; b/ l& |/ s: ^! R4 a6 [ - ) ( B+ E2 V5 B8 j K( U& U* e7 M5 X
- )! R( o# s6 d, T1 a' {' x
- (setq sx1 (solvex k1 k2 k3 s11 s12 s13))
4 X$ r, c, J) Q* G* P! q - (setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))* k( @& b% U" w. c- Y
- (setq sx2 (solvex k1 k2 k3 s21 s22 s23)) x1 L* F2 S; a9 A) U
- (setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2))))). U, Q) w6 F$ \2 ?% H Y
- (list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2)) ]( h# p" b, G3 n! l+ ?
- )
1 S8 a8 h0 B, z, g. k/ U5 i# A - ;;计算椭圆的长短轴和中心--. S4 u% t$ _1 ]7 U$ [( N- S. ^
- (setq so (solvef k1 k2 k3 k b1 b2 b3))" l% `% t! j4 `4 v
- (setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so)))1 i' p* p- L- Q& P
- (setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so)))
% F' f- O& ?; O( ?4 o - (if (= 1 xxx)
: N5 n4 F3 ]; R6 P - (progn
. K, q1 s, M3 R - (setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so))) c, d6 u$ B+ v8 u8 k D. B
- (setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so)))4 ]: G3 E- W# ~6 d& m
- (setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))( h, f- Q) V" }1 l. B
- ), c2 Q6 _* c! d/ [+ v
- )" _4 q/ z! V) m4 m* s/ Q; U6 X
- ;;判断中心点是否在四边形内 G- v& k" M3 E6 Y2 y* T- n
- ;;并且判断所求是否满足要求$ S, _" V8 @. k5 i% T5 U
- (if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5))
, X1 `- D/ z2 k6 H, H - (or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2)))
+ W7 J: S5 D; N' B9 W - (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
H) V/ m8 x) |/ F" N4 m4 J7 |' i - (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
" {/ n, K# ]( {+ v5 e& d ^ - (setq xxx 2)
_7 h7 `# {8 s" ]4 P - (setq cen1 cen2 long1 long2 short1 short2 xxx 3)- u* p9 {( v+ q) [/ E/ i# a
- )
9 \# O5 _5 x- e# m% J: A% r - (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
, }" S/ N5 t/ i" O7 R - (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))# A4 t& {6 Z% T& x& w Y& z
- (setq cen2 cen1 long2 long1 short2 short1 xxx 4)0 ~/ o* @. c7 J2 p
- (setq xxx 5)
" Q q- h9 Z( w+ d) ~ - ) . l+ s, A" b8 U' e
- )
0 Z" a4 A0 Y9 E' f! L - ;;画椭圆------------------6 W1 S- i5 r7 t- N
- (setvar "osmode" 0)
2 |6 Z- T0 b: D - (command ".ucs" "O" pm)! j4 y1 @& u% a' l h( w, V5 ^
- (cond ((= xxx 2)
( k. y2 N" T3 @" ? - (progn' X9 t v- X. a. W
- (command ".line" p1 p2 p3 p4 "C") ' S* z. L! k' y/ S. ]9 E0 S
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
! g' M$ d% \& p8 h% Y - (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
" a8 s( I# u: [+ K- ]- S+ w' c - ))3 ?0 `3 n) `* \: M) S
- ((= xxx 3)
, C: b: J* R8 R; U) O+ c1 [4 t - (progn4 M+ l" O4 r& D: v& m$ i$ G
- (command ".line" p1 p2 p3 p4 "C") 6 a# |( [. w" X; N. P. M. I
- (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
3 C: n# D5 o% H) e% w5 H/ S - ))
# W) H3 G2 ?( J0 ^, U9 a7 F# A8 |$ n8 | - ((= xxx 4)) `" R; z3 w3 C8 G) C& i3 S
- (progn9 i' T8 X F3 C0 c! f
- (command ".line" p1 p2 p3 p4 "C")
, L5 X0 l! D5 K - (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))& @! u4 O* x) V9 F% }* Y
- )) E& W4 E \0 T' P
- ((= xxx 5). t" ?( z* O7 b7 u) p/ @3 n, z' b
- (progn
8 X3 W- E, H: Q2 J, x3 V% h/ K) k6 _ - (alert "椭圆轴长或比率太少,无解")
* y p# q# A) C% h - (princ)# ?! k# d& X. @* z Q+ r$ U; M
- ))- \4 _3 ~ j7 }6 w4 h: N
- )
$ @# T _* |2 C( u2 F" M - (command "ucs" "P")( H- \! G# y/ J2 q' n
- (setvar "osmode" oldmode)( L7 X% e/ X* m$ M# r+ |
- (setvar "cmdecho" oce)5 y4 \6 [ C6 @$ \2 \
- (princ)
1 v" w. o; h7 G" h& H9 ^ - )
0 B' ?- g" ^6 ^/ g/ o - )
+ O, a5 X* t4 q6 e. k( e H8 ] - ) ' }( W' t$ C$ b4 H
- )0 \! B+ m* k9 G0 K. x3 z/ U2 ~
- )) d& N3 i* [" x A& S+ G) u* n. X
- )7 g J5 k0 D. {+ N, |# r
- )
: A9 t3 S' W( p+ v. O) x: K - )
/ T2 Q& \+ L; |, D e7 f, T - )
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