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发表于 2010-1-5 10:02
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- (setq b2 (+ (* k2 xx) b2))# N, \1 s9 N* h) O `& W
- (if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0)
) m k3 ~; R- G! u5 X - (< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) )
5 [# l" G& I6 V6 h/ [ - (progn
) N# T" s3 i8 m r9 D9 F0 K# T; X* Y - (setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )
$ K3 @' l/ ?/ |( B* F - (setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) )
4 h- h9 P5 m3 V! Y - (setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )1 a5 [3 {, [, Z. W( T
- (setq b1 (+ (* k1 xx) (distance dm sx1)))2 G- t, d Y1 e$ w6 k! K
- (setq b2 (+ (* k2 xx) (distance dm sx2)))
+ @" k( `4 |& J# @, c - )4 s( O) N" P8 `0 _0 T
- )1 a) p! f/ D# \* l5 L$ |
- (setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))/ F; m) S8 [2 b) n3 R- f
- (setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
: S R1 H2 P& A$ f9 ^) ~1 a( a - (setq cen1 (list xx 0))6 Q9 j: J9 k) I8 X. J
- (if (or nil (and (< k1 0) (< (car p1) 0)). K5 X4 W, @- |$ v
- (and (> k1 0) (> (car p1) 0)))
' m' ?* I- G1 }) n( |) b - (setq cen1 (list (- xx) 0)))
- B% y$ r' M& m8 [# U - (if (= 1 xxx); ?: ?9 B2 @6 l8 [1 P
- (progn
+ Z1 Z# J" @! u! Z/ K$ }$ A - (setq cen1 (rot-90 cen1))4 c* M, I d* k" P) ^9 A
- (setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))- K+ G4 Z& C2 q. d
- (setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))8 P1 m. u- k6 n+ E
- (setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))
9 t& N! K X1 b. b- S+ l - p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))! d' `' u! N) _0 p# k
- )
6 u! L: I2 a5 i' G - )- ~: L7 p7 |, ~- H/ O2 N% z3 \: T5 o7 y
- (if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))9 ~+ D5 ^/ G1 F
- (progn9 }" Z# p" t2 T# q* y, B
- (alert "你输入的距离不合适!")7 {2 c/ W @( \( m: D: m" I
- (setvar "cmdecho" oce) H# t* b1 F. B* |
- (setq xxx 18)
. h, V) G/ R+ i# s5 J1 M0 K( l - (princ)
1 Y; N3 i( q; t7 A; q; q& W - )
( B% _0 x& D7 m C- M& \ - (progn- `0 `. t9 c, r( i: b
- (setvar "osmode" 0)6 y/ a# @/ d5 m {* k& v* ?
- (command ".ucs" "O" pm)
( x: r5 T7 F3 M& t' r - (command ".line" p1 p2 p3 p4 "C") 6 {6 c/ l3 {$ w' J3 h
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))
4 @) @. `/ `6 M - (setvar "osmode" oldmode)+ b$ k& J0 l0 w
- (setvar "cmdecho" oce)
- T3 R' i9 x& c/ i - (princ)/ D% h9 ~. h9 B; z3 L
- )5 x8 K: S: Y: ]1 O6 O% \
- )
S$ w/ ?' n% ^' M& T - )) 1 `0 B0 `6 C: Z7 ^; P0 V
- (t (progn& h) b6 x* b. b) j- M" O" @+ g
- ;;计算直线截距和斜率------------------. v8 V3 ^- b9 k; X! w6 l: G
- (setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))) b- U6 ]) \5 j) G" a
- (setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))
/ x- y! o. C' S9 a, S% w0 g - (setq b3 (/ (det2 p3 p4) (- (car p3) (car p4))))
' L3 M0 @- J0 x4 z4 }, R - (setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )
2 m) @6 s, L- n+ Z5 u" v( @8 Y7 o - ;;定义求解椭圆长短轴线函数------------% q! }! `) |- E1 R5 v# b
- (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)9 X1 I, X1 O4 ~* I ]6 I
- ;;(defun solvef (k1 k2 k3 k b1 b2 b3). [$ A& i! P' c# ~5 E
- (setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k))
" m+ \; [5 R& o- \ - (setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))
, a( d& V/ j4 D - (- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))/ Z- ^1 ^" ~: {, V6 m' @! a
- (- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2))))
) j) R( U5 Z$ s$ s/ m& V- j1 m+ c - (if (< (abs a) 1e-8) (setq a 0) (princ))& n; y" h9 J" K) R9 z" j3 y& K+ M
- (setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))
; C: o$ i% u% O( y* l - (* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))* s* n- {# e, d$ p9 e7 k- L5 E
- (* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2))))- R, i. Y, \/ A, \& O
- (if (< (abs b) 1e-8) (setq b 0) (princ))
% D- {# ^7 S/ i* Z6 a, l& W6 g9 n - (setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))
% q( _9 \/ H2 D$ s# J$ B3 q9 C8 Y - (- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))" J$ Y) @! h& ?5 U7 t4 N/ p H
- (- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1))))- |# J; |( Z9 N k& Q
- (if (< (abs c) 1e-8) (setq c 0) (princ))* ?: r9 p6 b3 `5 F. `7 V9 X
- (setq g1 (roots a b c) g2 (cadr g1) g1 (car g1))* T% ?' r, O7 D7 ]
- (setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))
$ ^ |9 }% X' U* F - s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3)))
# N4 }2 `6 v( j9 q6 E - (defun solvex (k1 k2 k3 s1 s2 s3)/ F. n; k* u" _* X8 X
- (cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
1 g' ?$ ]5 @- s7 y% p. ~ - ((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) )
, a5 J( ?2 T8 p4 D1 T% G - ((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) )+ Y! y! d1 {$ T$ c; ?
- (t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
6 s1 M+ e6 K! [ - ) , Y# C& P1 E- e: R
- )1 c6 l0 G& E ^7 \, n2 ^
- (setq sx1 (solvex k1 k2 k3 s11 s12 s13))' Y6 W) K( l1 G$ C9 K/ Y2 h
- (setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))! E/ A4 ^. h' W- O( a4 e3 A
- (setq sx2 (solvex k1 k2 k3 s21 s22 s23))1 w, b. N1 [$ b1 b
- (setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2))))) F0 [+ K, {( B# y1 N, o
- (list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2)) - G# S* A# W& ^, y0 _$ w5 U
- ). ^6 Y: Z8 B% ?
- ;;计算椭圆的长短轴和中心--0 A% z( g1 s. F! ?/ B
- (setq so (solvef k1 k2 k3 k b1 b2 b3))$ l, f3 J! D1 M9 I% |7 u# B+ ~
- (setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so))): w; \2 k$ x# a6 U0 U
- (setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so)))
- k" M* W% y# O/ t3 I+ w/ j* u - (if (= 1 xxx)
- R0 u: ?4 H6 b& e! A, U8 w" F - (progn: u; A" ^; V; m* W- c
- (setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so))). H" I( U/ a! c# q
- (setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so)))7 S2 @& ^) X# c( A* R
- (setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))
" O+ G7 M8 B' p - )) n7 a( [% z8 G, M# Y0 k0 o
- )9 ^* b. c3 ~% } ^1 m
- ;;判断中心点是否在四边形内( L. Q$ B/ `! n2 o5 x$ N$ M; U
- ;;并且判断所求是否满足要求) h2 `3 J* O1 s3 I9 y+ u& e" a( K2 h
- (if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5))
" z2 Y. ^* w) c+ x G6 | - (or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2)))) J7 Q, V" \- D7 \. D
- (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
" |; V+ n+ r2 [& K( X) p - (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
4 ]: j" C/ ~8 q1 q - (setq xxx 2)
g4 C" b, w \ - (setq cen1 cen2 long1 long2 short1 short2 xxx 3)
- l. q2 l$ Y1 a) ]% C/ @+ q$ l - ): C% G/ U) f' b, v
- (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
( R) h2 S1 {& m+ Q4 D& F- L4 J) _ - (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))4 n, H& [* _. r2 G6 E; D8 H1 {
- (setq cen2 cen1 long2 long1 short2 short1 xxx 4)
1 l% n# u0 z4 }8 v. N6 @1 B0 | - (setq xxx 5)
& N5 U( {" z' ?% r% v6 J: e - )
; m9 Z5 @0 V! V5 m8 |& _ - ) m% ]; C0 V( v" r, n& Q- L! p
- ;;画椭圆------------------
* z* j9 H* p; M9 @$ U4 u. ? - (setvar "osmode" 0)
" r$ w# r& ^2 B6 P' S+ t$ H6 z: _ - (command ".ucs" "O" pm)3 q$ j- ^- Y6 Z
- (cond ((= xxx 2)( N' }! ]. s$ c; i
- (progn
% U3 I# z& H3 {, ~0 y2 P+ n - (command ".line" p1 p2 p3 p4 "C") X, P1 T* p" i* Z$ O! D
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
$ @% L! \0 C3 h: H - (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
4 V, W/ z* |$ N; C! c. j: V - )) d3 T& p ^$ j$ T9 B
- ((= xxx 3)
1 d* i. g$ T- V$ Q - (progn' o* Q( T& P# Q/ g3 B
- (command ".line" p1 p2 p3 p4 "C") " M _* S% \% k# t: A2 b, {
- (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))# {7 s! w, ]2 t* d' N8 `
- ))
3 h# X# z5 W3 \& R! i - ((= xxx 4)+ g1 L# t* }4 J, @ }- ?+ h2 X
- (progn
0 ^: c/ t7 S, s. r5 Q2 R - (command ".line" p1 p2 p3 p4 "C")
$ w) X, Z3 B4 u3 C4 W - (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))8 u4 e4 _" L2 y" [% w6 V8 ~4 O
- ))6 y ?- O! q7 d* t9 j6 N' q
- ((= xxx 5)+ T& K' ~% P) G. M9 F
- (progn) s: q+ {1 o w: K
- (alert "椭圆轴长或比率太少,无解")/ P6 A; c% u* P% Q% y
- (princ)9 [ z: i" I! S
- ))
$ [& T" y R6 E( c |. s0 F - )
$ f8 o! b2 K- `" F# z - (command "ucs" "P")% ]( T0 N2 P, v& J; |
- (setvar "osmode" oldmode)5 P3 J8 \, j C
- (setvar "cmdecho" oce)
; x- f: {$ h* B1 ~, T0 J - (princ)
6 K7 u+ b/ C; u0 i- J W - )
, `, x L; j A - )+ p5 D! c7 ]4 [" b7 W
- ) % {, i( p4 X' C0 S. w5 N
- )" Q% s& v8 W! F* V
- )
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- )" f0 r+ k( g+ o
- )
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