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发表于 2010-1-5 10:02
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- (setq b2 (+ (* k2 xx) b2))
. K. z8 L" S \" y2 X* U& O- ] - (if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0)1 g3 t4 u, F) }# H
- (< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) )
( f% |& }: O* L- h - (progn
) j$ j- Z2 t5 i0 K: R/ X - (setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )
: }: Y4 ]4 i& ]: m; `5 _# N - (setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) )
3 y ^8 U( d; } - (setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )' S& L0 d9 U( O( [# y; ^
- (setq b1 (+ (* k1 xx) (distance dm sx1)))
6 H/ d. h! M1 A0 w# B- y. s& n4 E - (setq b2 (+ (* k2 xx) (distance dm sx2)))" L8 E: _- ^# ~0 E8 v
- )
5 d0 Z ]6 Z" C. W - )3 S0 h& r9 n c( Y
- (setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
$ o' Z" i4 \9 s3 { - (setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
0 ?- c' ?2 ?4 ^# d - (setq cen1 (list xx 0))
0 B& q7 T3 \' q( w2 g' u: E1 f - (if (or nil (and (< k1 0) (< (car p1) 0)) w6 F7 C$ F: q6 d& [ K
- (and (> k1 0) (> (car p1) 0)))) i% p8 Q& C' [$ U
- (setq cen1 (list (- xx) 0)))& ^$ o- {) A6 r% L$ f+ M
- (if (= 1 xxx)
' V5 C3 v" E! m2 |+ j2 t0 ^ - (progn- P8 t+ E) [! K6 x+ S, {$ K+ F
- (setq cen1 (rot-90 cen1))
" f' G( r; h/ B& h - (setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
J/ R& j/ T" z: w( T& y+ P - (setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
; X& X7 u- C5 |; t2 A - (setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))
, I# U+ s- B9 ^$ O* P - p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))
2 H& ^: c( O% S6 P# _4 k4 K - )' g. @/ x% t4 g1 E
- )% S0 H! G$ R p' r: I
- (if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))8 X; y7 A* ?# d3 B; Z
- (progn
/ D( @: {7 p5 j& C+ @- [) S - (alert "你输入的距离不合适!")
: j' L7 B2 _$ W; c - (setvar "cmdecho" oce)
) b" j0 s) }# R, n - (setq xxx 18)% b/ f8 v. }. S5 X+ e
- (princ)
# r0 j% x( h: U- }2 W8 [ - )
1 g& J1 z: `$ p- @$ P. ]* p - (progn
S B% R( J* b - (setvar "osmode" 0)" ~3 r& W6 n+ h1 R. ^
- (command ".ucs" "O" pm)% M, |0 U2 W+ k5 [
- (command ".line" p1 p2 p3 p4 "C")
( Q# z0 }$ S7 R# a( R, s4 X - (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))3 @. y0 Z6 q1 A0 m+ l) }
- (setvar "osmode" oldmode)
; t6 J) l& }# e/ S h% X' B - (setvar "cmdecho" oce)' A9 M4 D# n0 H* L# [ Z
- (princ)
: Y* x1 j) ?; k; }0 [' e - )
7 |) P6 d1 ~4 Q! } - )
, |# x' ~' R6 a* c. `: C - ))
7 s' D' W4 S5 P2 Q7 { - (t (progn
* q3 q e+ Q5 t' A6 U: o - ;;计算直线截距和斜率------------------
6 T) ^8 }3 x6 a" o' ]1 \ - (setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))
6 D* o& o4 K2 U6 b - (setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))
) ~% a- `, O: R% w0 l$ P - (setq b3 (/ (det2 p3 p4) (- (car p3) (car p4))))( J+ ]6 ?5 u" d; z5 f( d
- (setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )/ x$ g1 f, O+ G5 ?/ `, J! A
- ;;定义求解椭圆长短轴线函数------------
0 v* l3 P4 Y1 d7 L0 a1 j7 n; i% Q- ?, m! Z - (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), v2 ?+ e5 I! o7 U: A! W0 @
- ;;(defun solvef (k1 k2 k3 k b1 b2 b3); N! x- `5 p6 n' B$ [8 H M# w
- (setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k)); i* l6 z3 r9 D: y2 F
- (setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))
; X. Y0 R' q1 R - (- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))+ e% t) L, S, N* q9 P
- (- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2))))! j7 |- V; B" d* b, [: | U2 |
- (if (< (abs a) 1e-8) (setq a 0) (princ))
6 T. m- v2 l- F4 { - (setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))
& o: Y8 }2 t g% \ - (* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))7 C2 U0 o5 k& \3 u9 u
- (* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2)))), Z+ ~6 a: L4 x+ g7 U$ x
- (if (< (abs b) 1e-8) (setq b 0) (princ))
: D$ {0 O7 V1 c( Y1 R& } - (setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))
+ [# y2 m; G, w6 j q$ m - (- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))
4 Q; U, x9 J. z5 l8 k3 x+ _4 O! a - (- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1))))0 u, b3 O/ M& N# z7 d$ \6 e
- (if (< (abs c) 1e-8) (setq c 0) (princ))9 k$ Z0 R) p# ^+ x% ~ m
- (setq g1 (roots a b c) g2 (cadr g1) g1 (car g1)): c% ~0 W2 t) F. Y& y( r% R8 K" b5 y
- (setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))
4 S9 H& ~4 I/ j* w+ _) m# q - s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3)))
- I; {- G. ~2 X- R5 H) I( I - (defun solvex (k1 k2 k3 s1 s2 s3)
R1 u$ C. H) _! p) @ - (cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )- I7 G2 o& [3 a, O6 p4 |/ `
- ((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) )
/ ^* r/ l1 \, C# b* }7 N3 d: f - ((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) ), R2 J. `! n( c
- (t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
2 c6 o3 Y5 ` G0 { - ) 6 v( G7 i( ~% C% P; r+ H/ @, V8 D. p
- )# [" F! z8 }: R+ N# C [/ k
- (setq sx1 (solvex k1 k2 k3 s11 s12 s13))
- _9 f! t8 H( r' ]" e, y4 t - (setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))
6 `1 u: k& M/ n9 _ - (setq sx2 (solvex k1 k2 k3 s21 s22 s23)). n2 I! H7 K; f+ T8 E, h
- (setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2)))))& g$ Z0 v. X( a' n
- (list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2)) i: J1 P" F H
- )
+ a& M" q" V* u g - ;;计算椭圆的长短轴和中心--
- i7 ^0 N+ @+ k3 M6 G( ~ - (setq so (solvef k1 k2 k3 k b1 b2 b3))
( F7 m# d+ _6 R2 z" J) x0 N - (setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so)))( ?0 Y( Z6 G, ~) F
- (setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so)))% n' W4 g% E8 e) h7 q! Z& @
- (if (= 1 xxx)# Q) E( i8 i" m1 u" _; h, b
- (progn
% q2 J) Q3 d% h1 b8 ~# B" U. ?' ` - (setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so)))% V% a- B/ r' a4 }
- (setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so)))
' }& D* `3 R2 R: N8 _, s - (setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))
) O+ j! p! Q& `; d' J; j - )
4 g% ^* U J. n+ E# ? - )
+ L8 ~7 _8 n& {* M - ;;判断中心点是否在四边形内
5 m; ~8 f6 x+ I7 s$ m" x8 V - ;;并且判断所求是否满足要求' g9 z1 `0 n# F8 f8 w _* r
- (if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5))6 G6 L* `5 T! Q' \
- (or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2))); t) K8 X' l4 [' J0 u ?) ]
- (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))1 p& f- u) [1 a5 Q3 U
- (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
5 _' c/ D7 l6 _8 L. ? - (setq xxx 2)
9 a; \7 T/ F6 U0 J - (setq cen1 cen2 long1 long2 short1 short2 xxx 3)5 @# f* B, p4 {4 N
- ); P: f: _0 N9 T
- (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
0 C; Z4 I) \. S* _9 s; P2 G3 H* d - (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))4 i7 |, Q1 o2 L- c& r
- (setq cen2 cen1 long2 long1 short2 short1 xxx 4)& D3 z" Z* {% K8 H+ N* j( {* X/ T
- (setq xxx 5)
( H- q J$ p: Y- t8 R0 S2 f& I - ) , L0 K8 r! l9 l* _- L
- )
6 t8 v2 q2 G! I - ;;画椭圆------------------1 @0 [4 _, _# K |' w. F
- (setvar "osmode" 0)
& ^: C; @, h6 C' I - (command ".ucs" "O" pm)3 O# ]' d) n( A; A
- (cond ((= xxx 2)( {$ N; O; O0 I& r/ A _9 C
- (progn
4 W/ c {- B2 S3 W' c - (command ".line" p1 p2 p3 p4 "C") : D% n, Z2 C) p8 x
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
2 S; ^ ?- U [ l" \5 L6 R- x - (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))2 k2 t1 U! G. j
- ))' E: S! k) ]" Z% m
- ((= xxx 3). w- H. F. }1 O& f( r
- (progn
2 o$ B; ?, z) Q# Q! _3 A/ o6 D* L - (command ".line" p1 p2 p3 p4 "C") ! G) u' U8 i" V( a
- (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))$ m! [9 {+ Z6 C, Z6 W q) l2 \
- ))
. ~6 g9 d/ [: a8 D* A - ((= xxx 4)
4 q5 U) G! ~& t1 w8 R) g - (progn
+ i& P/ `' n7 |! W! g - (command ".line" p1 p2 p3 p4 "C") ! q1 E3 E' W- A( D. Y
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))( e& x i# D& b) H# J
- ))
- D3 ]% a8 O- Y1 z - ((= xxx 5)7 p$ W) l/ `) z M
- (progn- n I9 L) Z6 V+ E6 M& v
- (alert "椭圆轴长或比率太少,无解")
1 h% I: n5 K) e3 M) F C - (princ)
1 _3 J3 E3 [. w2 h. H - ))
7 x$ B0 X1 i6 r; s- z- w, s - )
0 w7 v- l B5 S! ~6 I - (command "ucs" "P")4 u* o" v4 S/ L& ~+ Z/ ^ ?3 q
- (setvar "osmode" oldmode), f$ I% l- [: y8 z* S$ I
- (setvar "cmdecho" oce)! U' r3 P# h* u$ P; |7 n3 ?
- (princ)- {" Z+ Z" b+ G5 k7 U
- )
6 c/ P( A* C8 ?6 I7 F# H3 f3 I - )
2 m0 u: q3 J, C9 y" H6 w) Q - ) 3 ^1 |$ f2 J# F0 w7 J+ v/ |0 R
- )1 G8 Z* x. }- ?! j) W9 M
- )
' _6 n4 A2 K9 a: a8 f0 U0 b7 ` - )
, H; [1 v; u' t/ {& A0 E) H - )6 [) I' s' T( P9 v3 _
- )9 u/ v2 T0 v- \ E5 Z( Z
- )
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