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发表于 2010-1-5 10:02
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- (setq b2 (+ (* k2 xx) b2))2 g1 I0 ~4 [) X0 V9 ~% P3 g
- (if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0)
9 ~( ~% A6 J& m. |) n. C - (< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) ); @% [' J0 v& j
- (progn0 {# c( d& M+ a* P+ ~
- (setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )
; {' G( d5 U+ ~" r9 @: } - (setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) ) + d7 G! x4 Z- S2 e; p% _
- (setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )
3 B* Q5 ?. }- G+ U6 b. s - (setq b1 (+ (* k1 xx) (distance dm sx1)))
! x1 Y. j0 j1 o7 J+ V5 A - (setq b2 (+ (* k2 xx) (distance dm sx2)))9 I! M& ]. i" e/ K# X5 f5 @- |
- )0 t' d0 n" V! a. t
- )
* q* d4 Q, c$ }" ~2 r/ \ - (setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
" u* }% ` |/ ^8 H - (setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
6 q" N" Q9 w. y& p7 [ o - (setq cen1 (list xx 0))
* a' f& t: J: S8 v - (if (or nil (and (< k1 0) (< (car p1) 0)), H7 V7 Y- H4 s. p9 E
- (and (> k1 0) (> (car p1) 0)))
6 ~* \+ H4 P% T - (setq cen1 (list (- xx) 0)))7 b: x/ e2 w. f6 D& B! y* E
- (if (= 1 xxx)+ T, H( Z, }! a$ Y) ^
- (progn, R4 b& Z" E: S8 k' r) X7 R' y9 }2 y
- (setq cen1 (rot-90 cen1)) S& ]7 @# s g7 E! @- Y" K
- (setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
; s3 c8 H$ H5 I/ K8 M - (setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
* b. M* E- y+ A E) h - (setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))
( F/ H- ]# a- m7 L6 x1 O7 s - p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))
1 _1 A. G5 u/ U' Z* g8 _ - )
2 ?$ s( n4 q3 q6 o1 p$ \, x! z - )+ a2 R, p2 F' F: a$ v
- (if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))' b9 a- }2 J" z0 u
- (progn( o9 v8 o6 O7 r$ X1 B
- (alert "你输入的距离不合适!")1 R" ?" r" e9 |2 H2 {
- (setvar "cmdecho" oce)
: ?, w2 S {* L+ F4 D0 H, N/ N - (setq xxx 18)
; Y* h1 P4 x* S d - (princ)) r1 b% {5 [8 [$ u
- )
! q, v1 |( |3 Q! e - (progn
1 i0 r' ?2 e, r3 `' T - (setvar "osmode" 0)7 h% f# o: e# i x
- (command ".ucs" "O" pm)1 C9 i; f2 T) }3 w
- (command ".line" p1 p2 p3 p4 "C") 7 o9 R; C( p C+ ~& r% q/ F8 w/ ]
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1)) Z u" U# r6 P- \9 J' q
- (setvar "osmode" oldmode)1 Y7 R3 r$ v# W
- (setvar "cmdecho" oce) U! g" _2 P- |6 f. j
- (princ)
6 h9 n! q6 z2 S4 z - )
- R# I! l& G6 _6 J - )/ k& Y; Y4 J2 |0 m& C
- )) 8 B2 Z. {) ?0 u0 ?
- (t (progn
- h0 E+ |9 B9 ~3 x( E' `+ N - ;;计算直线截距和斜率------------------
! L! f" Z4 s# v - (setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))
6 I: e* v$ y* f. E4 W1 O, k - (setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))
" n, a; v$ P9 N2 [! \5 }* j7 Q - (setq b3 (/ (det2 p3 p4) (- (car p3) (car p4))))' {6 U, m- _1 a p2 S1 W2 k
- (setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )
8 D; N' g( X; M1 _# z- O - ;;定义求解椭圆长短轴线函数------------
/ `5 {/ w! U, G+ U - (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)0 N2 y; L+ J7 h5 m, c6 g4 S; r
- ;;(defun solvef (k1 k2 k3 k b1 b2 b3); s5 @0 O; |0 h
- (setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k))9 E# M5 s7 t# g# U8 w
- (setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))$ k2 x5 n- Z. b. u& s1 E
- (- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))
- J. K; {: I! R1 Z a& ]1 C6 H - (- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2))))
& R& k$ S1 G2 X$ ]. Y8 V - (if (< (abs a) 1e-8) (setq a 0) (princ))
, U7 f) C. D# O% @$ { - (setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))
: p4 E2 k4 Y+ e6 k+ S9 I& R; U - (* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))
& J: ~4 S' A$ O- ]; g - (* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2))))8 y% G( E* T1 z( }' C
- (if (< (abs b) 1e-8) (setq b 0) (princ)). I* K( u0 b; d7 h
- (setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2)); D' D! C# r5 T$ ?" P6 k- f- ~
- (- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))
* N$ E7 R3 n$ [2 ?+ ]0 ] - (- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1))))
+ P' s5 j) Z0 [8 M - (if (< (abs c) 1e-8) (setq c 0) (princ))8 _5 n% c0 r9 a; r l9 f* r
- (setq g1 (roots a b c) g2 (cadr g1) g1 (car g1))
& k- J- l" Z8 j5 o. F - (setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))
g; M$ Y& a+ m- b/ q/ }" L, | - s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3))) : Q( V4 c9 @: o! l* ]! p/ a
- (defun solvex (k1 k2 k3 s1 s2 s3)8 i U& e2 \; a: j3 p3 z7 `. J% s
- (cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )" o& y$ `$ x' F7 R
- ((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) )
7 J& j+ i' J3 k$ i, F - ((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) )
. F/ O+ M; O. W1 ~( ]8 O5 G! k - (t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )5 w& }; \& Z3 B2 R! n0 g4 b5 p
- )
3 c2 k5 ]( q: V; H o0 O; n% [ - )8 T- d$ Q$ u1 }8 ^3 m
- (setq sx1 (solvex k1 k2 k3 s11 s12 s13))8 J9 ?. {0 D! @" f8 j' Q) M
- (setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))
5 S* p. \& F& o& h* Q - (setq sx2 (solvex k1 k2 k3 s21 s22 s23)); t2 ~3 V& Q1 l- z) R# i0 G
- (setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2))))): r" ^% B" {3 C0 G
- (list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2)) , Z1 Q5 ~; [5 D2 q, y/ Y
- )
' b3 Z# \1 A/ e& [& n0 W2 l, j - ;;计算椭圆的长短轴和中心--% a8 q3 ]0 I& F2 y+ O8 U/ `
- (setq so (solvef k1 k2 k3 k b1 b2 b3))
8 q1 L9 n, g H# v- z - (setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so)))* ?% w/ I- s% i/ E
- (setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so)))5 D* E& d3 z6 h. [
- (if (= 1 xxx)# O; q- O$ i! q8 B& h" k2 D
- (progn
. R, ~9 l2 W% g2 S/ @9 K' R1 a - (setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so))). `! {% w+ ^9 E9 G5 z! Q1 `
- (setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so)))
' x) k/ _, R# r$ M& c - (setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))7 H! k1 C" p8 e+ h$ Z4 T, M! Y- b- U
- )" w* j5 G- F- @) a
- )2 k" [5 \* H6 w; j* E5 H! p
- ;;判断中心点是否在四边形内8 i8 `% T! ` w5 ~; w) w
- ;;并且判断所求是否满足要求, D! J1 q4 w) L9 X& m+ \' [3 D
- (if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5)): K6 L( U1 K! Y( h. U
- (or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2)))
, X2 X9 R2 U7 g1 u7 G - (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))- h, {. i& S. T: a! U( R) U! H
- (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
" U q, {8 ~/ Q# D! ^/ f - (setq xxx 2)
$ \+ V4 c/ m( s1 B9 c2 C - (setq cen1 cen2 long1 long2 short1 short2 xxx 3)
, Q/ C) _2 C( l& q" z - )
3 e$ ~# ^ R p; n# E - (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
$ r. X5 ^1 V0 e; P, u - (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
$ Q' _( ], C- ]5 z - (setq cen2 cen1 long2 long1 short2 short1 xxx 4)
1 f4 N3 N/ V7 M8 x - (setq xxx 5)
3 G% Y- R# @7 V `' K' d7 u - ) + P2 D" u* a8 C6 e0 K
- )6 b& B$ z. Z4 e% q3 ~- W
- ;;画椭圆------------------
+ {6 K- [. b: w3 w ? - (setvar "osmode" 0), c/ h. n9 ]) ?" ]
- (command ".ucs" "O" pm)
0 t2 N' k; D, ^/ p - (cond ((= xxx 2)
k- K- l2 y! `3 S - (progn. s- B# g3 z" W' M4 x
- (command ".line" p1 p2 p3 p4 "C") ) m) ~3 @; A: O' L9 |$ h8 H
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
" [9 H9 T& M7 q2 `, ?) x8 [! e& k C - (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2)): i( e: h- z" j0 `
- ))3 v( ]; {4 w( P' p0 J! W" R
- ((= xxx 3)& A) X% ?, S4 }* N: H. y
- (progn
) P- i3 c$ y. _# K/ ?) Z: r# ? - (command ".line" p1 p2 p3 p4 "C")
' t% F2 `4 C& N f+ n' ]+ S; o - (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
. y$ O7 e6 j$ M+ }5 J - ))
7 k4 T+ |" Q' `7 r2 g9 ^3 { - ((= xxx 4)( ?5 a: h8 p x( H. @- c/ E6 v
- (progn
: g, a% j( }' u6 W. S - (command ".line" p1 p2 p3 p4 "C")
- S2 ?2 x# ~2 T' Q - (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1)) _" c8 o9 f0 i0 L- C
- ))9 T2 |" I `$ S, |( z
- ((= xxx 5)
8 T) ^1 a4 }& ~ - (progn
4 f& E/ f0 y. m' R, @+ x P4 V9 h - (alert "椭圆轴长或比率太少,无解")0 t- R6 _6 M: W) ]9 Z6 h/ X" E4 V% u5 @
- (princ)
6 @+ a; t. ]0 x9 O/ l - ))
& I9 c) @* c7 ?4 h- Y2 }( L8 n - )" X) l* z3 W* ]9 A% f* D
- (command "ucs" "P")
, m: |% y2 d6 I4 R- ^2 h - (setvar "osmode" oldmode)' c3 J4 h% N& ^& m! G+ z$ o
- (setvar "cmdecho" oce)) i+ \2 C- k. |( T1 e+ L
- (princ)3 O' o3 H, U6 U) x
- )
5 U1 a! J1 t7 ] - )
, a' K4 N& E. E4 ~+ e) T9 j. a - )
- b* R4 Q& J& j. z* H7 Y; k( r" ] - )
5 d2 k1 F1 r; k% t ^/ j - )6 O- R3 c- K8 s1 ~, b( `: Y
- )
! u/ s9 ?- g8 F: K; l$ i; P. k {$ Q - )
2 ?$ {4 U4 p* U* _$ `1 k4 p! R - )1 ^1 J+ @% H( Q" J" R! k
- )
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