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发表于 2010-1-5 10:02
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- (setq b2 (+ (* k2 xx) b2))% r1 O1 w# X5 U+ @
- (if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0)
" }" f. N& i& ~. D - (< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) )
- G* n8 T U4 }% Y! q: X! R! J - (progn
/ d y0 g; L; _1 a; Z - (setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )! S" }6 o# B, X( `" A& A
- (setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) ) 2 l/ c+ I; h0 K( j6 b
- (setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )( R9 [2 S) O/ u" F9 W% J Z3 F
- (setq b1 (+ (* k1 xx) (distance dm sx1)))
A: c% w4 |. J4 D - (setq b2 (+ (* k2 xx) (distance dm sx2)))
9 j! a0 p% R+ R& z - )
. G* K" ^0 l9 E1 {, X - )2 \1 c; q. |0 {4 e
- (setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
3 o0 v+ Q( x4 f - (setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
* T4 Y) h, |3 ? - (setq cen1 (list xx 0))
5 y `3 {/ z5 X+ V# z- y- H+ k - (if (or nil (and (< k1 0) (< (car p1) 0))
3 \! |3 {. n. ?" v+ g - (and (> k1 0) (> (car p1) 0)))0 F( B1 m4 j* Z3 f: Y3 U9 G% S
- (setq cen1 (list (- xx) 0)))
9 V* T! W% s( H4 E r - (if (= 1 xxx)% _' V u2 z3 i
- (progn9 M0 \2 A5 }# o6 W. ]* r5 ^4 n
- (setq cen1 (rot-90 cen1))2 H, ?) Y+ Z5 Y: G8 g0 {& D: B0 F
- (setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
5 ]. j' L k* S& s& Q7 ? - (setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
" ?/ q. y" L3 M: d2 Z7 L9 o - (setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))
6 @3 x5 `" {( A - p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))
! q3 z1 h4 g; r) m; J+ i( j0 F, K/ }% ? - )
( [& S' | J7 {( ^4 \ - )
2 O, h0 q8 |2 a0 }" ?$ O6 { - (if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))6 q2 q9 L3 f$ `8 S2 ]& S! m
- (progn
1 X2 c/ E( \* u: e @ - (alert "你输入的距离不合适!")
m4 E# c! F5 J% W0 J - (setvar "cmdecho" oce)( p/ b9 O6 U! ]' {5 j( `
- (setq xxx 18)
2 ?. j. r' g' k5 F* z - (princ)% b7 _) ^/ U7 a! P2 Z
- )
- b6 g, B# L% [$ e, `' Q+ h - (progn
3 y. f: j, @" g }7 \* ~ - (setvar "osmode" 0)+ f( m! m* N7 P2 S; E. p3 \* r
- (command ".ucs" "O" pm)
3 t1 W( Z7 g- D - (command ".line" p1 p2 p3 p4 "C")
, h" ^# d1 ?/ C8 g6 o" v4 k - (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))- M9 |- A+ K) K5 f% ^
- (setvar "osmode" oldmode)9 i) ?6 _4 p a* E/ s/ D. j
- (setvar "cmdecho" oce)
3 W9 W( r1 V# K0 C+ b) y# R ` - (princ)- |# T- q$ Q! u& N9 {
- )
! Y, ]2 ?; l& m( {' k* q - )+ l3 i3 i# C# \
- )) # D. V" `- H+ \" S1 ~% X0 _
- (t (progn
' Q7 Y$ u: A( X' A0 S' D) T - ;;计算直线截距和斜率------------------
7 h |( f+ D4 f8 s) s1 n - (setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))7 E% J, o0 w' g4 |8 }
- (setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))4 i( }6 J- |8 @* Q1 G5 H4 K- d
- (setq b3 (/ (det2 p3 p4) (- (car p3) (car p4))))
! t U# L; ]2 p. A) n - (setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )$ }( v) N: O1 }9 N* `$ S
- ;;定义求解椭圆长短轴线函数------------
" e+ G, V; r0 J% [ - (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 u1 c- K, Y/ S4 v2 \! @5 _3 a - ;;(defun solvef (k1 k2 k3 k b1 b2 b3)& p: c3 Z' f- J6 \, R4 r& W
- (setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k))
; [% g& `: E, Q6 z$ j - (setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))
V" B8 U- J' u0 j) s - (- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))
$ y- k G! d9 ^, i1 c - (- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2))))
0 d) M' s7 ?9 g- j# ^ - (if (< (abs a) 1e-8) (setq a 0) (princ))
, U4 b8 a8 z/ D% K- j \% n$ q1 E& f - (setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3)): g! M- t; J6 ^1 e, B! X- S
- (* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))
9 J8 I7 L9 f& K3 \" }7 d, l" J - (* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2)))). |4 H3 S) @7 g' s+ f" _$ Q
- (if (< (abs b) 1e-8) (setq b 0) (princ))( m1 `/ \# D' B% ]- E
- (setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))
1 ?3 A- e" R! \2 A4 @- U) S; I - (- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))
/ h3 h/ X \5 ~; _* D - (- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1))))/ C2 s7 d. L( a7 G4 v3 Z. s7 i
- (if (< (abs c) 1e-8) (setq c 0) (princ)). Z0 {% h1 |2 h3 o5 p
- (setq g1 (roots a b c) g2 (cadr g1) g1 (car g1))
1 S% T* w4 Q4 a# o. H. N& u* O. L - (setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))
" k) d+ x7 R' y/ ?& S - s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3)))
" H$ H- S& H# s - (defun solvex (k1 k2 k3 s1 s2 s3)+ \" p2 k4 a* y- }: E
- (cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )" Y8 [2 k1 M6 Q& r/ {5 f/ R" P
- ((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) )' g, T" y8 P1 o3 J7 g8 T
- ((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) ) [/ a2 M2 `% B2 ?5 h4 E7 ^8 P/ c( y, Z
- (t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) ); `1 u d7 d% x l; B: B* z7 h
- ) $ T4 h. {/ t& c
- )
- j' L- m. I/ n! N( F# M - (setq sx1 (solvex k1 k2 k3 s11 s12 s13))8 E, L9 d7 W$ T2 U. e( d& G$ c) ~2 C
- (setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))
3 Z; P7 z5 p/ z7 r# _% ]. w - (setq sx2 (solvex k1 k2 k3 s21 s22 s23))
8 i1 ]7 N M) W% q% @9 B1 a1 x - (setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2)))))
6 x( ~' s; ~% w, C! t - (list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2))
- r# q. c+ ]: _8 S. n0 Z - )* m" ^1 L, F, F; K
- ;;计算椭圆的长短轴和中心--
% [ K5 p3 p3 D/ O1 G4 @& V$ p - (setq so (solvef k1 k2 k3 k b1 b2 b3))
2 ]$ n( A4 F. E1 W7 W, t' ~9 y - (setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so)))
; }5 W6 m" y8 C' J4 G \ - (setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so))); [. D) ~' x- {0 E z# H
- (if (= 1 xxx)
$ i9 w; ?" e- n; c- Y0 W# h) ~/ V - (progn
. g( v; u" u9 T* p6 z0 X1 o1 \ - (setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so)))
0 b X5 F* a* x+ C* Q2 ` { - (setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so)))
6 m$ X% g3 q* M - (setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))- M% R+ j1 k0 J: m
- )
- i0 e- g$ m) y i - )
/ X @5 ~8 r6 E4 n; ~$ M - ;;判断中心点是否在四边形内3 W* j! o& H! A! a
- ;;并且判断所求是否满足要求
B* E0 ?* @5 e3 k( B - (if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5))
# Z5 S; \: y) X* _* S8 L( o, d - (or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2)))
. J4 i# h+ O1 a2 z2 b - (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))9 f: w( V3 S' m
- (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
4 C( i4 X/ ?8 C5 ?, } - (setq xxx 2)
) b# w9 Q( U; b% P8 Z2 h - (setq cen1 cen2 long1 long2 short1 short2 xxx 3)
, O7 o B# F i/ u7 l; k/ ]. ~ - ) A z7 L2 {; H& u/ d9 a: G
- (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
$ e9 r' K4 }" e - (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))# f! }& L. v6 g, h
- (setq cen2 cen1 long2 long1 short2 short1 xxx 4)2 [- w* j2 Y: R- f0 F9 S
- (setq xxx 5)
1 `: P! F: E2 T8 n; ` - )
7 q+ O8 L7 \% n& w+ E; a - )
0 |/ e2 R! ~- q: O+ x3 J* T - ;;画椭圆------------------
( ?/ G$ a5 K" R: q7 N. U9 n - (setvar "osmode" 0)
! H5 g' s s8 G8 T" e1 g. @: Z - (command ".ucs" "O" pm)' i3 C9 G# |6 @- N) ^9 b
- (cond ((= xxx 2)
) N, v& t& p- O4 D2 ?' P2 K9 V% o - (progn2 i ?9 f: q' T5 x k6 _0 u$ S
- (command ".line" p1 p2 p3 p4 "C") ' j: q# K2 l5 Z" |
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))& E1 r i9 z' C. Q/ o. }% b j
- (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
4 P, C* ^% D# O - )). l' S+ J) W8 L1 _" w4 \3 \
- ((= xxx 3)
5 \3 D& v( V* g; q4 S - (progn
# |+ p6 R0 B- V# k - (command ".line" p1 p2 p3 p4 "C")
! ]- I, F3 t- z8 X$ [7 J - (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
; G( T" |% i1 v9 {2 F - ))
j4 {3 m. z! Y- @; A - ((= xxx 4)" `! Z" {* P/ B- T6 ?
- (progn
! A' u: b- m* p! Z& s: C - (command ".line" p1 p2 p3 p4 "C") & s: A1 E$ i; I' N; L- R( Q) e( ~
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))5 d/ B' b4 Q# m' }
- ))
: L& T3 R/ |/ K" L/ K7 `8 I. i - ((= xxx 5)2 f3 c. N, I8 B; z2 z
- (progn
* c/ x) N" b0 _# z! s: _ - (alert "椭圆轴长或比率太少,无解")
6 `" x d; K) n% ~3 a0 H - (princ)
- i5 N5 @4 ~5 p0 t' e+ _7 s; P( U" D - ))
) t5 }$ w- ^# ^! O - )+ g( u D" w( R* P+ r
- (command "ucs" "P")# v9 J' j2 w- I# F ~
- (setvar "osmode" oldmode)' P0 h& {( e* ?" _
- (setvar "cmdecho" oce)
! I5 G5 ] \" B4 ^" y7 t K4 d6 J: ~" g - (princ)
, q; {4 K; y! N9 L! ~0 v% | - )
7 \) j6 e" i* O* L9 c - )" A3 J9 R* u0 Z5 D
- )
' M9 K& }1 a7 y) c | S. [. Q8 ?4 Y/ ^ - )
# M9 w) m, W* F* s& }% Z' W: u: \ - )
2 Q2 `8 f) Y% B4 `: C - )
. s3 h; }5 A+ p, ~ - ); f0 b1 S* p, D! L' r: |8 Y) M& k7 b
- )
- E8 F6 ?* ~6 o1 `( y( S# I3 \ - )
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