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发表于 2010-1-5 10:02
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- (setq b2 (+ (* k2 xx) b2))5 p% d0 z' l- d* K
- (if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0)+ u2 j4 w& z" m, S, U
- (< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) )
% e& ^8 R: I4 S) L, E7 X - (progn
: Y9 _. z8 B; I/ F4 J& s6 Y+ O0 f y8 E - (setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )
: H! W& [& l# f+ S" {: D. A - (setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) )
7 d2 @ c. u7 e0 E2 n: |0 w4 O - (setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )
% e* [7 Z% p* K - (setq b1 (+ (* k1 xx) (distance dm sx1)))
! i. P( A6 l: G: L& M6 k: m$ Q - (setq b2 (+ (* k2 xx) (distance dm sx2))). T/ H, ?1 P1 ^0 u: U. N( ]
- )
1 y- v+ Z. y3 }, e3 ` O - )
1 g O0 @/ [5 F% D9 I& p9 x - (setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))0 z6 x* W( w0 ]
- (setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))) r- ]+ `2 G+ q9 J1 l8 G) E$ g
- (setq cen1 (list xx 0))
* c' L: T' d$ R( H+ ]* M - (if (or nil (and (< k1 0) (< (car p1) 0))
1 m& L* u# O5 L* P+ ] ` ^ - (and (> k1 0) (> (car p1) 0)))$ ^ B. E8 [- [5 [8 k, P# e
- (setq cen1 (list (- xx) 0)))! F: j+ _$ C& U
- (if (= 1 xxx)
* l3 o$ S d6 w+ }. |" x - (progn
0 I( P6 ^3 o R - (setq cen1 (rot-90 cen1))4 I8 L: K0 _+ T* |+ h
- (setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
; D7 d4 M4 O- E- A3 T3 m - (setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
2 f* L# K1 \; y: t/ U1 n+ B - (setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))
C, D9 b/ e# @# O% C3 b0 f0 ? - p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))2 M p- q5 q/ b2 L* d7 L
- ) s9 ]" d0 o8 |. a
- )- B- K+ A0 {; ~ S9 r( E O1 z
- (if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))" D( H F9 Y0 D9 c
- (progn5 v, y8 J# N- F. @7 l
- (alert "你输入的距离不合适!")
$ d0 ?8 A# o/ e$ c; M+ [& [ ^ - (setvar "cmdecho" oce)
3 o2 ^ ^# n0 A; U( t: Q1 t* T. C/ k8 F2 w - (setq xxx 18): S+ Q: k; f1 [+ `7 A
- (princ)
5 m# y% X* E0 m. q' R - )
, e7 R/ L1 t) o: _% Z - (progn
. `2 x6 n* i5 O* I6 e - (setvar "osmode" 0)
# T4 A( h0 p3 X! f - (command ".ucs" "O" pm), g9 ^; o7 p0 N& c3 ^/ C9 E
- (command ".line" p1 p2 p3 p4 "C")
5 r$ O4 U3 J7 q3 K0 ^" K# K - (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))
& i$ p& y# K" |, p8 t5 S" F7 [ - (setvar "osmode" oldmode): o, o, R. u3 g
- (setvar "cmdecho" oce)6 \( s& Z; m+ b2 J
- (princ)
* o2 w/ @" ^* C4 h6 I - )* P" v. X$ R$ n0 b. W$ C6 f
- )
2 y' i2 S' [9 M+ C- D - ))
: `' k: {" A/ f0 M4 S& N - (t (progn
( L. j0 w( m9 J* {4 \ T - ;;计算直线截距和斜率------------------$ I+ t8 O7 M" h, |* o7 n' ~
- (setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))
; O* m2 X. d8 \! H5 T) w! L - (setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))7 z0 g6 G8 f _1 N, Z3 _
- (setq b3 (/ (det2 p3 p4) (- (car p3) (car p4)))): z* n9 L0 W6 O: p6 `# C
- (setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )/ {# c' [0 M D) ], B
- ;;定义求解椭圆长短轴线函数------------ \3 p* `3 a2 q4 c
- (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)
$ _7 U/ r& P3 S/ Z+ o0 u6 v. f - ;;(defun solvef (k1 k2 k3 k b1 b2 b3)
B( S: x9 E; _8 h8 H1 z {. s - (setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k))1 N% B, b" y: D/ x: ~- t- B4 \: X4 V
- (setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))- Q. D$ ^: Y+ M2 P1 z' h' }
- (- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))
' I: H. }7 ^7 E" E0 p. G& v - (- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2))))
" J, Q2 k7 c5 U/ w& h* l" ^$ s - (if (< (abs a) 1e-8) (setq a 0) (princ))
" B4 l6 i* H* a8 k' N: C* g - (setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))
. k7 b! ^" k/ f4 g+ Q$ D - (* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))
( h+ y# a9 N m- U# t4 k. |" ]& X - (* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2))))
M: f0 a0 e; m$ [0 ]7 r - (if (< (abs b) 1e-8) (setq b 0) (princ))
; e# Z4 W! n' q6 d7 |& j0 S - (setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))% P2 C# U+ \ _5 i
- (- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))
" o% l. Z# F! i& A - (- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1)))), _; s# S& n3 \ j B
- (if (< (abs c) 1e-8) (setq c 0) (princ))9 t" }$ w! \6 m: \7 Z/ y8 A6 Z# [
- (setq g1 (roots a b c) g2 (cadr g1) g1 (car g1))
q8 i; \4 H5 ]% ?2 Z - (setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3)). u! e; H5 n+ `7 t# F
- s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3)))
7 O( g) Q$ R: |. a - (defun solvex (k1 k2 k3 s1 s2 s3)
0 \. w" X: E i; ]" [* e- ~ - (cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )& O. ?% X0 L1 e& |9 \/ g R
- ((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) )
; i1 A+ u$ O% L - ((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) )
3 W# f2 s$ V* p8 f1 V# W% k - (t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
$ @& C. g: p0 J+ Y4 w - ) , w( P: j1 R8 R9 w8 F7 o% w
- )5 f( |- ?" o/ Q$ L
- (setq sx1 (solvex k1 k2 k3 s11 s12 s13))% k. m! O$ b5 e& d: L
- (setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))+ I9 b- [7 `6 d S6 T' T3 ^8 h
- (setq sx2 (solvex k1 k2 k3 s21 s22 s23))
, h' Q( q4 Q( ]9 y8 | - (setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2)))))
3 j* t& Z# Q! u7 s: V: p - (list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2)) 1 |$ b$ F& ]+ C' _
- )
1 B$ x1 I0 X$ W - ;;计算椭圆的长短轴和中心--
$ N0 O% i1 G' y. m - (setq so (solvef k1 k2 k3 k b1 b2 b3))
1 Q. i/ ?3 S: Z, h# Q) P6 J, g - (setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so)))( |! @9 O1 S: u5 H8 i4 R
- (setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so)))
, y+ m/ h7 Y$ T, V ]; r! b - (if (= 1 xxx)
- U6 Y! `9 J8 T- t" p - (progn
1 }8 F9 @8 F/ y8 W! B7 H - (setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so)))
( K6 X1 H- V5 C: J) S - (setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so))), k4 @/ X% _/ L% u
- (setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))7 j) _4 }* `: O$ O; |1 I' O: a$ D! x- X
- ), \; M. k$ F) t# Q8 K. I. x4 _
- )
. r3 n( J! K' U4 W- l - ;;判断中心点是否在四边形内1 \- V4 n& D3 t5 e0 G6 {
- ;;并且判断所求是否满足要求6 F5 Q. ]. M9 _8 h. H7 K6 K+ |
- (if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5))
9 b4 W; ^+ L: u7 n2 M - (or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2)))' \+ _: x$ m4 U# P
- (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
( B9 G0 z1 J& A' H" o - (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))+ K1 f7 C0 I4 ]0 [
- (setq xxx 2)0 F& B H" Y- s4 Y% C1 g
- (setq cen1 cen2 long1 long2 short1 short2 xxx 3) A, E/ L2 m7 |$ N- h& w8 H6 _
- )( Y+ a7 J9 A! B" k- K2 E
- (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
; c, B- A* c( V5 u - (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))! A5 n* r* w: H. I" U9 H9 w
- (setq cen2 cen1 long2 long1 short2 short1 xxx 4)
6 ~( I5 m9 s* I# x5 ?! Q( N - (setq xxx 5)
& N: `/ Z9 r* B, S& u9 E6 j2 j - )
0 z N; G8 D1 G( S+ S2 L+ l, U% S5 K - )
) d' ?/ @, [' u - ;;画椭圆------------------" ~5 `7 N2 H! Q
- (setvar "osmode" 0)% f2 h) |$ @3 D5 c# P& S: V( k
- (command ".ucs" "O" pm)
4 r& T- \: f8 ~# P2 m( i& u - (cond ((= xxx 2)
* |- j8 p1 |5 E9 S) p. O - (progn
$ I) ], u! U! m& c0 O - (command ".line" p1 p2 p3 p4 "C")
, x U( r* O# F! @$ G - (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
# r: Q4 H, W$ Z! Q - (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))3 U% y- _/ Y8 s+ f. T
- ))$ c4 m/ f' j" d4 r3 K
- ((= xxx 3)
4 i8 o. Q5 E5 ~ N! T - (progn
% f) S, j) n3 X& t& z+ v/ G- h - (command ".line" p1 p2 p3 p4 "C")
' m/ f( w9 q; P P! X5 L/ U - (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
8 J3 g3 H8 }# C5 K: H, U - ))
0 b9 o e( `8 s8 k - ((= xxx 4)
0 S+ }' M9 J8 f X& A% B3 Q - (progn
% T( Z9 U( N- q) V0 U- L - (command ".line" p1 p2 p3 p4 "C") , N1 _6 X( C5 I4 @2 U& g$ @
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
: S! }8 s' a( n1 p* m - ))
5 U5 N2 s% U1 A' h- w - ((= xxx 5)/ B9 C$ }( x. i6 b P+ @" ^) V
- (progn4 p; A8 }* g6 ~- [* j: m i
- (alert "椭圆轴长或比率太少,无解")' t! B3 c |$ N7 o
- (princ)* r4 A7 l1 ]2 R
- ))0 L- ^- `1 O [- P* t
- )6 b. a j2 e4 }' ~1 k' s+ G
- (command "ucs" "P")- s+ i ]7 u8 @4 Z! c
- (setvar "osmode" oldmode); ~" a' Z" j7 v# W1 p' j
- (setvar "cmdecho" oce)
" M; ?4 G' s) b s) U& G8 w, a - (princ) {% F9 q$ E( N) c
- )% V* g2 }5 ]7 e: Q/ C+ K" K7 F
- )9 S3 J$ _6 c" S% f
- )
5 D2 K& f% x; t$ Z - )
/ D0 Z6 X4 ]; y O( p, A - )( i8 X- G# f5 [& |
- )
$ b. f% S P7 d - )
r+ C; m* M6 E2 e$ w" l. p - ); q$ ^- f$ B+ x2 I) X! C
- )
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