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发表于 2010-1-5 10:02
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- (setq b2 (+ (* k2 xx) b2)), F7 z/ }5 E* e% d; o {1 F2 F( \
- (if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0)
1 a8 I" ?. [5 c$ @3 L; X4 n3 T - (< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) )
. v0 T; d+ k9 a7 { B2 ^# e2 r9 i& N - (progn
, f, X1 @ g A - (setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )
c0 s4 U* U5 ]4 j& e4 c9 p - (setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) )
# x l* H5 q! ~, M, a - (setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )
7 V9 \- x$ W2 Q+ C0 p) s, m) }' M - (setq b1 (+ (* k1 xx) (distance dm sx1)))
9 E j6 v) E# t( c! t A - (setq b2 (+ (* k2 xx) (distance dm sx2)))1 y) U' u2 M4 _
- )& p6 {% l3 S7 l; s/ S+ s
- )3 v2 D, m+ P) z5 a* w/ z
- (setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))9 J, s& Q( _7 X. `7 |9 h& e
- (setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
3 d2 m: z1 W* y Y; M. u% d - (setq cen1 (list xx 0))
9 p! `# X; V$ j- P7 P: e - (if (or nil (and (< k1 0) (< (car p1) 0))4 H; A$ D/ v; _4 g7 `2 v, h
- (and (> k1 0) (> (car p1) 0)))/ u% \7 Z- H: N. ~* q8 ?$ G
- (setq cen1 (list (- xx) 0)))9 M6 v+ p v/ B/ ` z
- (if (= 1 xxx)3 b, N. F/ }/ G
- (progn% m) N' O R5 e# @% o
- (setq cen1 (rot-90 cen1))$ x$ [8 S n. G: x' ^8 B4 { Q
- (setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
- e. L) Z* W" k( i; J - (setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
) t" Y/ l/ D' H7 e3 u5 E% v3 U - (setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))# {& d4 s, m1 O: J/ j7 k
- p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))( N9 j4 L+ C+ I w/ O+ u: }
- )
" I8 `( w" T" ]8 `* Z; C# Y3 [ - )5 i |9 N6 j' l) _/ l, \: p- f/ K
- (if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))
6 t- [0 H e7 i2 F - (progn
3 y% q' Q. W; o$ M - (alert "你输入的距离不合适!")" x' |/ _, Q# x
- (setvar "cmdecho" oce)
1 a. e" C& T: \4 V9 i4 {& N' m - (setq xxx 18)
6 V( A/ Y5 y. U& B" ^. K1 s$ I! \ - (princ)
/ i4 _- p5 [% M' M x/ d - ), V3 K" _5 t- j3 F$ k
- (progn! o5 Z" J( | f9 S8 @5 k' @
- (setvar "osmode" 0)
# e/ M3 ], ~4 K* \ - (command ".ucs" "O" pm)
# `: Z( X8 U' m+ Z - (command ".line" p1 p2 p3 p4 "C") " o4 B G2 A) ~$ Q9 _
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))
2 J( r( v; A/ x, L: e4 V7 V5 M - (setvar "osmode" oldmode)
9 W& j: w. `/ w9 U - (setvar "cmdecho" oce)' v6 e' x5 s* S G) z0 j& J: V9 v
- (princ)* _0 f7 T4 o. q( W
- )
) f! ?3 Q& V/ g: h' k) o9 u - )
9 Z. s/ v& n) [) {- t# i - )) 2 r3 ]5 S) c8 X6 |1 C) k% ^9 E
- (t (progn& r. {$ p: v9 g. {; U
- ;;计算直线截距和斜率------------------" r, b" ^% x, _% [: \
- (setq b1 (/ (det2 p1 p2) (- (car p1) (car p2)))). i9 M& R8 F5 B& I1 X* v
- (setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))$ {2 R7 W/ r% }' U
- (setq b3 (/ (det2 p3 p4) (- (car p3) (car p4))))
" P5 C. Z- u1 H/ z - (setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )
$ { r3 P) e. j( ~- `2 V - ;;定义求解椭圆长短轴线函数------------
/ l4 J! Q2 I3 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)8 W0 X5 c! [4 n
- ;;(defun solvef (k1 k2 k3 k b1 b2 b3)5 ^. B9 d2 V& V9 @! z2 A6 v: R/ e; k
- (setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k))
% a# L" S+ X1 E - (setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))
/ s8 D/ ?; }( g" d" f3 o - (- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))
8 @0 ]6 w; V" A! d V1 s8 a! E. y - (- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2))))
5 Q5 N; O7 t* _! I - (if (< (abs a) 1e-8) (setq a 0) (princ))
5 p+ K; `( C+ R& L9 B: p0 ~ - (setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))
; f; D$ L% }' ^# `, ]/ x6 z+ f1 a - (* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))) h' A$ [' h1 E8 \
- (* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2))))
2 ?: h5 s4 r; r* N - (if (< (abs b) 1e-8) (setq b 0) (princ))
, A, J* Z! H9 @ - (setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))3 q0 ^; u4 x6 ~3 a' ]
- (- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))
. f& A/ t' W# `$ E' ^7 k" e+ c3 G - (- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1))))
( t' i1 n- |" e: O5 E - (if (< (abs c) 1e-8) (setq c 0) (princ))( l6 C8 H7 x2 ?9 |" x9 o
- (setq g1 (roots a b c) g2 (cadr g1) g1 (car g1))- L1 k. l, {+ z
- (setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))
; k6 ?: G, S- w6 N2 E6 R; i& Q - s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3)))
4 V# d# u" U0 z' v J - (defun solvex (k1 k2 k3 s1 s2 s3)
$ q7 }/ {- r* h+ V3 z - (cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )/ N8 P- g5 ]" ^% b; ?) G+ C
- ((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) )
. @+ i; f* ^/ v% F9 g - ((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) )
" R( @7 X, l7 I6 }; M/ ^ - (t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )! E( Y e0 S' P" H. ~
- )
: d f0 E- ~6 H; L: E/ u - ), [" b+ z0 w$ Z: k
- (setq sx1 (solvex k1 k2 k3 s11 s12 s13))* v8 S+ f& l' z' _
- (setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))$ h! i3 ?( l3 q
- (setq sx2 (solvex k1 k2 k3 s21 s22 s23))
9 [4 B( l* _2 I - (setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2)))))4 I" L" q; P" k
- (list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2)) # \6 B, ?/ i. F% n. h7 w/ Z3 C0 `' L
- )
5 o! D5 k0 O! Q$ B% n - ;;计算椭圆的长短轴和中心--3 v3 o5 f9 I* [
- (setq so (solvef k1 k2 k3 k b1 b2 b3)): ~# M U) U' N! f
- (setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so)))$ ^" I- `( _8 E5 s
- (setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so)))# |/ b. |9 M8 I8 O7 q
- (if (= 1 xxx)
5 Y3 D4 R8 b) x7 v1 k" ?1 Z! P - (progn
: p0 ]( m* h' }, M2 s4 F - (setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so)))8 C4 ]! ?, ?: y: s
- (setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so)))2 ?3 l: P1 I0 u6 Y) N: a3 R+ H
- (setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))9 t0 g) M7 ]( \1 p: a
- )
8 @; \. @- }6 { - )
/ M8 o; A7 z- o) D+ l4 P- W - ;;判断中心点是否在四边形内" O2 x% _: a1 {
- ;;并且判断所求是否满足要求
" U2 [2 {3 _6 ^- r6 x: k( `# _ - (if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5)), T6 q. C3 T8 G; _! s9 i0 q
- (or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2)))
/ o0 c8 Z; _- E - (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
' S8 e4 s* R) i+ y7 y0 F7 n, s - (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))8 G" y8 R% t" S0 S1 T% }
- (setq xxx 2)
2 _, _' n( `% M- ~3 H - (setq cen1 cen2 long1 long2 short1 short2 xxx 3). ^/ k$ L' U' |. w( c" O
- )7 N, D; n" J8 \
- (if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))' R$ S/ V" |# Q7 `" J7 V- d% q7 O
- (or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
1 h ~: M- a4 S/ ], P - (setq cen2 cen1 long2 long1 short2 short1 xxx 4)- j9 j9 S& t- g( H! X/ b
- (setq xxx 5) " v) `4 Q! X0 J- r
- )
0 K+ R2 j* W9 ?3 P( K - ): @6 y& |& U k* n* E
- ;;画椭圆------------------
' P" N, i1 ?! _/ _4 U5 o5 O$ B* x - (setvar "osmode" 0)
a. t& t. \* p: S1 |- {& T: w& } - (command ".ucs" "O" pm)% R5 m0 A0 @" z- a. _
- (cond ((= xxx 2). P w( D; c8 K
- (progn0 D/ v; R- M3 K, ]9 T
- (command ".line" p1 p2 p3 p4 "C") 8 B' M/ B( [' `/ N
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))* |# e0 g5 M$ ?' h* X" k" y
- (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
% n& y3 J$ I& p; D - ))! {2 x3 I7 D- t% z, }
- ((= xxx 3)
: P3 x- T O+ _: C0 u; _ - (progn
3 m& {; U a# L+ z+ |5 [1 x" v - (command ".line" p1 p2 p3 p4 "C")
2 ?! ^0 i% u5 H+ p - (command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
T' }1 [" d; W# @% C5 r - ))( Y' B! Z9 }* K0 F$ F% H4 V
- ((= xxx 4)
- G3 s5 W' a# s3 r z# k - (progn+ n9 X) {5 A. W
- (command ".line" p1 p2 p3 p4 "C") ! Y3 y, J" Z" w; L$ v8 J* v$ u+ k
- (command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
$ V& \' g4 V$ V9 [1 G - ))* _7 L3 p. J h) ~7 u$ `; ^
- ((= xxx 5)$ R3 h5 S! j+ o5 C/ w$ N
- (progn
# Q o9 i& }% B$ U; K - (alert "椭圆轴长或比率太少,无解")$ V" W+ j: b/ v- @; n: z3 I
- (princ)
" k5 h& m9 ?# @! M* B2 O! c - ))
}; K/ ^1 D* b9 @ - )
4 I3 ^: C4 t* v - (command "ucs" "P")% W# B& t) m- d
- (setvar "osmode" oldmode)) B' `+ R$ H8 T) D4 d
- (setvar "cmdecho" oce)
2 i( T4 s8 Y A1 K - (princ)
3 Z" U% ]; T. g0 @: h - )! I" s3 X, q+ t) E3 k2 `) X! a9 w
- )
! N7 G: W8 r0 J1 L J5 k5 g - ) 7 o+ L3 d6 b' E! }& Z; P& v
- )
1 R- s- s$ {6 \; O9 P - )! }/ q* N- g5 e3 g, U
- )
8 b) Z; k; v5 p0 K$ A5 x% q& a* a - )
% u7 y0 u% L$ n8 x0 m9 e% b - ), z4 b* q& t! c6 G/ m# l
- )
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