请LISP高手帮忙注释此代码

wenwengg · 发表于 2010-1-5 09:59

(defun recover_snap ( reactor_object lisp_list / )
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(setvar "osmode" $$mpt_osmode). l o) f7 y8 c
(vlr-remove $$mptReactor)2 _) W2 a9 w, C" ?, P6 U% e
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(defun mpt ( / a b mx my mz )" Q/ W3 {% x6 w' }! b7 p
(while (not (setq a (getpoint "\nFirst Point : "))))8 s, @) n: S4 e5 W% P* c
(while (not (setq b (getpoint a "\nSecond Point: "))))
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(setq mx (/ (+ (car b) (car a)) 2.0))
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(setq my (/ (+ (cadr b) (cadr a)) 2.0))
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(setq mz (/ (+ (caddr b) (caddr a)) 2.0))
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(setq $$mpt_osmode (getvar "osmode")): N" l+ g1 F a1 w) \5 u! P [0 t. h+ R
(setvar "osmode" 0)
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(setq $$mptReactor (vlr-lisp-reactor data '((:vlr-lispEnded . recover_snap))))6 Y+ E+ M! \: V+ ?$ [5 V
(setq pt (list mx my mz))
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)) ^' ]3 E% V5 K s+ s
;;******************************************************$ l" h* I" P3 _9 m' R" g$ k+ Q$ i
;;预定义一些函数
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;;定义平方函数$ f) u/ m6 K9 b" m5 p8 d
(defun sqr (x)
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(* x x)$ Q# Y, F/ T# o6 M# m3 s
)
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+ O; D1 W- c# N7 b
;;定义求一元二次方程的函数
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(defun roots (a b c / t1 t2 x1 x2)! v5 Z5 V+ Y G
(setq a (float a) b (float b) c (float c))
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(if (/= a 0)" R+ X/ Z" J. c6 [! W
(progn' ?* G' D" }3 D$ \5 k# J% u
(setq t1 (- (* b b) (* 4 a c)))( @( n; z. K9 b' Y# g& `+ \
(if (>= t1 0.0)
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(progn6 b3 A6 B2 Q. U+ y$ T, |' _
(setq t2 (sqrt t1))3 a' T8 h% V% [4 l8 @3 K
(setq x1 (/ (- t2 b) (* 2 a)))( e S5 G4 M, A r6 W
(setq x2 (/ (- 0.0 t2 b) (* 2 a)))/ w" I% S8 n* S: s
(list x1 x2)
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)
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(progn) r6 {, V: [% A4 Z: g% {: Q
(alert "\n根是复数.")4 v3 @) i7 k5 J% C. U5 k- ~
(setvar "cmdecho" oce)
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(quit)) ~! m. g* i& N. ~) \6 g8 K1 |
)
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)
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(progn
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(if (/= b 0), @4 N, B6 Z+ t, M; m4 ~1 s
(setq x1 (list (/ (- c) b) (/ (- c) b)))
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(progn
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(if (/= c 0)' l7 O& [0 V$ |) \# u2 V8 m
(progn; e+ E/ e. U$ l
(alert "\n无解")
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(setvar "cmdecho" oce) K. Z! [) [0 o8 {- w6 d$ N6 b0 Z5 V
(quit)
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)
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(progn& ` G' A, m/ H: I- q3 {4 X
(princ "\n无穷多个解")3 F5 K9 V k9 j8 L! w9 z3 |
(list 0.0 1.0)8 N" M0 _& G0 X8 R
)
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)
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)
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)
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)
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;;;*************************************/ m2 v/ ^$ z9 Z0 _- k! |. k
;;;取点,并进行座标转换以及判断和坐标交换, \3 N* Z6 T. d% H& c d; V- \2 V
(defun C:aaa (/ p1 p2 p3 p4 pch pm dm pm1 pm2 k1 k2 k3 k b1 b2 b3 oldmode oce xxx yyy zzz8 C. N7 p4 Z1 e( |3 x/ `6 F/ ?
rmin rmax short1 long1 short2 long2 intp do p23 0.5h yy kk bb sx1 sx2 sy1 sy2)
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;;(defun C:aaa ()
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(graphscr)
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(setq oldmode (getvar "osmode"))+ J, ]7 x/ R- B" u
(setq oce (getvar "cmdecho"))
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(setvar "cmdecho" 0)
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(VL-LOAD-COM)! L" y0 F) V* F! j, _
(setq AcadObject (vlax-get-acad-object)* f0 Y/ z- X* p6 _& k1 f2 H
AcadDocument (vla-get-ActiveDocument Acadobject)
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mSpace (vla-get-ModelSpace Acaddocument)
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)
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;;取点,并进行座标转换-----------------
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(setq p1 (getpoint "请输入第一点:\n"))
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(setq p2 (getpoint "请输入第二点:\n"))
(setq p3 (getpoint "请输入第三点:\n"))
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(setq p4 (getpoint "请输入第四点:\n"))1 j) I2 D; h2 ~; c9 c4 O
;;car: Returns the first element of a list
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;;cadr:Returns the second element of a list# Y$ b" g6 [% }! c9 ~
(setq p1 (list (car p1) (cadr p1)))
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(setq p2 (list (car p2) (cadr p2)))! E% c! O1 W; S8 U
(setq p3 (list (car p3) (cadr p3)))$ y$ S; {! R5 B( J
(setq p4 (list (car p4) (cadr p4)))6 c+ R# k% G7 | h% b! E
;;定义两矢量之差----------------------9 {" x! ^. k$ v1 e7 ^, D0 n" v
(defun sub (x y)
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(list (- (car x) (car y)) (- (cadr x) (cadr y)))
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)
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;;定义矢量之叉积,即二阶行列式之值-----9 `0 \% I' [% n0 m5 ]
(defun det2 (p1 p2)( d/ f/ @- Q' u4 b+ r$ M
(- (* (car p1) (cadr p2)) (* (car p2) (cadr p1)))
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;;定义三点的行列式,即三点之倍面积-----
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(defun det (p1 p2 p3)! G/ {7 ?. o. D( E: Z0 M: X
(+ (det2 p1 p2) (det2 p2 p3) (det2 p3 p1))- H: u( Q5 Q- @% w6 N
)
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;;定义没有方向的夹角------------------1 R% L( A5 i2 r
(defun ang (p1 p2 p3 / x)# v( y/ I$ r/ L3 r% T
(setq x (abs (- (angle p1 p3) (angle p1 p2))))
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(if (< (abs (sin x)) 1e-8) (setq x 0)+ }1 N( L5 [1 w& Y; h B" E
(progn (if (> x pi) (setq x (- (* 2 pi) x)) (setq x x) ) ) ) )* B9 W( v2 j/ K& `6 f! s# i( B
;;判断点是否在某三点形成的三角形内----
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(defun inner (p1 p2 p3 p4 / x)
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(setq x (- (* 2 pi) (+ (ang p1 p2 p3) (ang p1 p3 p4) (ang p1 p4 p2)))) p, z* T: j- o1 H9 F
(if (< (abs x) 1e-8) (setq x T) ))

复制代码

wenwengg · 发表于 2010-1-5 10:00

;;------------------------------------
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;;进入程序主段------------------------
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(cond ( (= 0 (* (ang p1 p2 p3) (ang p2 p3 p4) (ang p3 p4 p1) (ang p4 p1 p2)))' N; b: U( u8 }' K$ m
(progn (alert "有三点在同一条直线上\n请重新输入") (setvar "cmdecho" oce) (princ)))
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( (or nil (inner p1 p2 p3 p4) (inner p2 p3 p4 p1) (inner p3 p4 p1 p2) (inner p4 p1 p2 p3))
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(progn (alert "这是一个凹四边形\n无解") (setvar "cmdecho" oce) (princ)))
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(progn
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;;判断3、4点是否在同一边，否则交换2、31 _( E7 \5 X6 W
(defun same (p1 p2 p3 p4)
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(if (< 0 (* (det p1 p2 p3) (det p1 p2 p4))) (list p2 p3) (list p3 p2)))* k3 c( z' J) n* I* E4 J" t& @/ ]
;;交换坐标，使之成为顺序排列----------( G7 @6 K8 h1 ^ K
(setq pch (same p1 p2 p3 p4)), o" Z2 m' {; n y
(setq p2 (car pch) p3 (cadr pch))5 L& M6 N+ H, t! s; `1 f) x
(setq pch (same p1 p4 p3 p2)) d0 F8 t( P3 w: N# n
(setq p4 (car pch) p3 (cadr pch))* l( h6 ]0 v0 q5 E" @
;;取中点为原点------------------------# P8 ^7 O1 {6 |" D3 U
(setq pm (midp (midp p1 p3) (midp p2 p4)))
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(setq pm (list (car pm) (cadr pm)))8 A+ H- P5 |( X' U: e" W
(setq p1 (sub p1 pm) p2 (sub p2 pm) p3 (sub p3 pm) p4 (sub p4 pm))
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;;定义直线斜率------------------------
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(defun tank (p1 p2)
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(/ (- (cadr p1) (cadr p2)) (- (car p1) (car p2))))
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;;定义旋转90度函数--------------------0 S9 q& p7 w7 n
(defun rot90 (x) (list (- (cadr x)) (car x)))8 M& s1 E+ F8 _3 D
(defun rot-90 (x) (list (cadr x) (- (car x))))
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;;判断是不是平行四边形----------------7 G( }: s, y+ A
(setq dm (distance (midp p1 p3) (midp p2 p4)))2 c* B% I2 u6 L/ }, U( z
(if (< dm 1e-8) A4 V& A3 o7 _, w
(progn
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(if (and (< (abs (- (ang p1 p2 p4) (/ pi 2))) 1e-8)
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(or nil (< (abs (cos (angle p1 p2))) 1e-8) (< (abs (cos (angle p1 p4))) 1e-8)))8 B, C+ S. p# M% o( _& m" w( T
(progn
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(princ "这是一个平行xy轴线的长方形")0 ?" ~% ^6 _. S7 H9 r/ {0 |9 S; B, Z4 A$ t
(setvar "osmode" 0)2 R3 e7 H+ q& I8 f
(command ".ucs" "O" pm)
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(command ".line" p1 p2 p3 p4 "C")" q0 K: P# F$ ~4 G& B# I2 w
(command ".ellipse" "C" '(0 0) (midp p1 p2) (midp p1 p4))) H% e* k. l$ T7 ]& f
(command "ucs" "P")2 k4 [* [" X( T4 J1 W; k4 E
(setvar "osmode" oldmode)
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(setvar "cmdecho" oce)4 {* a. t6 ~& T0 V N+ d& `* Y
(princ)
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);;判断是不是平行xy轴线的长方形----$ @3 H0 Q+ o# N- o7 @
(progn
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(if (or nil (< (abs (cos (angle p1 p2))) 1e-8) (< (abs (cos (angle p1 p4))) 1e-8))/ j. w- F1 |7 U6 U4 P
(setq p1 (rot90 p1) p2 (rot90 p2) p3 (rot90 p3) p4 (rot90 p4) yyy 1)
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(setq yyy 0)* O1 c5 y g+ A7 B7 J0 V$ F1 p$ C
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(setq b1 (/ (det2 p1 p2) (- (car p1) (car p2)))), R! V5 p, V+ c6 K2 P
(setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))
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(setq k1 (tank p1 p2) k2 (tank p2 p3))+ }2 j% A, q0 R
(setq kk (- (sqr k1) (sqr k2)))
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(setq bb (- (sqr b1) (sqr b2)))
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(if (and (< (abs (- (ang '(0 0) p1 p2) (/ pi 2))) 1e-8)
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(< (abs (* (sin (angle p1 p3)) (sin (angle p2 p4)) ) ) 1e-8))
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(progn
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(if (< (abs (sin (angle p1 p3))) 1e-8) (setq zzz 1) (setq zzz 0))0 q: y9 @2 I" s
(if (< (distance p1 p3) (distance p2 p4))/ x% G) S2 q- L2 v/ D$ x
(setq rmin (/ (distance p1 p3) 2) rmax (/ (distance p2 p4) 2) xxx 0)
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(setq rmin (/ (distance p2 p4) 2) rmax (/ (distance p1 p3) 2) xxx 1))
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(alert "这是菱形,在这个方向有多解!\n请给出一个距离,如果距离大于半对角线长,\n将给出一个指定的内切椭圆")
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(setq short1 (getdist "\n请输入一个距离:"))
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(if (<= (- (sqr rmin) (sqr short1)) 1e-4)/ ~0 w s! j, N
(setq short1 (/ rmin 2)))8 p" }8 P# m5 M. s
(setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) ), C. l) y0 u. z3 `+ j0 s# o4 G0 k
(if (or nil (< short1 1e-4) (< long1 1e-4) (< (/ short1 long1) 1e-4) (< (/ long1 short1) 1e-4))* V: b+ r- V* h: s& I5 l& T
(setq short1 (/ rmin 2)) )7 V# O- Q9 ^' {0 k2 Z, {
(setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) )' i) w* q/ G5 I2 F/ a& [$ P
(setvar "osmode" 0)
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(command ".ucs" "O" pm)' Q: ~+ @% D% W: W
(command ".line" p1 p2 p3 p4 "C")
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(if (or nil (and (= xxx 1) (= zzz 1)) (and (= xxx 0) (= zzz 0)))
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(command ".ellipse" "C" '(0 0) (polar '(0 0) 0 long1) (polar '(0 0) (/ pi 2) short1))
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(command ".ellipse" "C" '(0 0) (polar '(0 0) 0 short1) (polar '(0 0) (/ pi 2) long1))
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(setvar "osmode" oldmode)
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(setvar "cmdecho" oce)1 k4 ^4 I4 g5 r! C- a
(princ)
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);;判断是不是平行xy轴线的菱形---/ J# I* m# Y4 [ ?# ?9 H8 Q$ F
(progn
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(setq yy (/ (- (* (sqr k1) (sqr b2)) (* (sqr b1) (sqr k2)) ) kk ) )5 M, S: h. U& X7 `+ |
(if (or nil (< (/ kk bb) 0) (< yy 0))9 T O) n7 D2 C$ X
(progn (alert "平行四边形在这个方向无解") (setvar "cmdecho" oce) (princ))7 Q* t2 [; j! V. C6 Y: P, J! i
(progn
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(if (= yyy 1)
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(setq long1 (sqrt yy) short1 (sqrt (/ bb kk))& }5 x& h" T B4 Z
p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))9 ?0 S5 G: E7 E8 H
(setq long1 (sqrt (/ bb kk)) short1 (sqrt yy))
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)+ s- b$ x) }0 }4 W
(princ "这是一个可解平行四边形")
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(setvar "osmode" 0)
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(command ".ucs" "O" pm)
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(command ".line" p1 p2 p3 p4 "C")- H; I( f8 ~; B. h( m& O
(command ".ellipse" "C" '(0 0) (polar '(0 0) 0 long1) (polar '(0 0) (/ pi 2) short1))( ^. w0 v) y7 m4 q# z
(command "ucs" "P")( Q. p# `" u) F+ G6 O) e) Q" l9 U
(setvar "osmode" oldmode)0 P! s2 v0 |1 [- _. O; k5 i
(setvar "cmdecho" oce)
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(princ)* i& G/ f% T( Z+ l+ o4 q2 g( V/ L
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)
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)
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)
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)

复制代码

wenwengg · 发表于 2010-1-5 10:01

(progn/ f4 R1 U; M' B' e* r
;;定义旋转90度函数--------------------0 U% @( B+ ]& ]1 m7 X! Z: G
(setq pm1 (midp p1 p3) pm2 (midp p2 p4))
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(if (< (abs (cos (angle pm1 pm2))) 1e-8)! T. y: Z, {6 N1 R
(setq p1 (rot90 p1) p2 (rot90 p2) p3 (rot90 p3) p4 (rot90 p4) xxx 1)
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(setq xxx 0)
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)
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;;定义重新排列点序列函数-------------- w" ]4 j- a; Q; H
(defun rearray (p1 p2 p3 p4)
' [% p0 m- x! b- {& ]
(cond ((< (abs (cos (angle p1 p2))) 1e-8) (list p2 p3 p4 p1))7 k" G% b- T' N% O
((< (abs (cos (angle p2 p3))) 1e-8) (list p3 p4 p1 p2))5 m1 L: j4 ]: D: h* k) k/ f8 o$ S
((< (abs (cos (angle p3 p4))) 1e-8) (list p4 p1 p2 p3))% x9 z& b( S/ H& u3 W
(t (list p1 p2 p3 p4)) ) )
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;;计算并交换点------------------------. i/ B( ~7 J( t
(setq pch (rearray p1 p2 p3 p4))# V5 ?( D# ]- T+ h) }3 z8 j7 @
(setq p1 (car pch) p2 (cadr pch) p3 (caddr pch) p4 (cadddr pch))
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(if (< (abs (sin (- (angle p1 p2) (angle p4 p3)))) 1e-8)9 i+ i3 r( a+ S' d- k
(setq p1 (cadr pch) p2 (caddr pch) p3 (cadddr pch) p4 (car pch))6 b( f/ p O$ ]6 ?6 D8 A
(princ)/ ?" P/ L3 @" x9 |1 T( M% x
)
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;;判断是不是梯形----------------------
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(cond ((and (< (abs (sin (- (angle p1 p4) (angle p2 p3)))) 1e-8)6 S7 ?* ]! j( _
(< (abs (sin (angle p1 p4))) 1e-8))
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(progn 9 N% ^' T& f+ V& H( C6 \! _6 v7 I
(setq pm1 (midp p1 p3) pm2 (midp p2 p4))
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(setq dm (midp pm1 pm2))
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(setq intp (inters p1 p3 p2 p4))
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(setq do (inters intp (polar intp (/ Pi 2) 1) pm1 pm2 nil))7 Z4 T- E( p2 X! }0 l7 l
(setq p23 (inters do (polar do (/ pi 2) 1) p2 p3 nil))
! q' P# c" X0 A. r
(setq 0.5h (distance do p23))! J1 c! L+ V8 i) i0 i2 w. [6 Q9 u' m4 f
(setq b1 (distance do (inters do p23 p1 p2 nil)))
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(if (<= (- b1 0.5h) 1e-6)
Q" E( |, m7 _7 ]
(progn6 G5 G) r I- g7 r7 G: [, z9 z
(alert "在这个方向的梯形无解"): u$ D( f1 A) v0 {% r6 R
(setvar "cmdecho" oce)
/ Q1 e' Q# V; F& Z( y7 A( y1 E
(setq xxx 17)$ ~& `$ m7 X/ }% J) ~, x
(princ)
; w/ e) ]7 x2 N9 I8 ]1 t
)+ }: }* H1 A' o5 U9 }' w$ R: D, S: `
(progn 0 r3 n% G6 J) ^& b8 t* F
(setq b2 (distance do (midp p1 p2)))+ V2 v7 a+ r$ ^5 e6 k+ \
(setq b3 (/ (* (sqrt (- (sqr b1) (sqr 0.5h))) b2) b1))
; {$ K) @6 ~& z2 ]4 ~
(setq long1 b3 short1 0.5h)0 ^ L) a2 G9 S
(if (= 1 xxx)
7 v- f$ ]1 U. A" r+ j v# Z2 M
(progn
. \7 Z2 E; a! d" N, b8 _/ t9 [; W
(setq long1 0.5h short1 b3)
/ {6 I% k0 e7 [" E. z* o' ^/ ?
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4) do (rot-90 do))% X+ _# Y0 ?7 Y
)
}; ~) d) b; V, U3 X( j) ~. G
): H' G; B6 b; a; {, G
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))
: X0 j" S6 `4 [' J. l
(progn% e9 c6 M: s0 E7 J; G& {3 @
(alert "这个方向的梯形无解"); c2 {' O) C ?2 k) I
(setvar "cmdecho" oce)7 L, J) F& T7 Z* u8 |( w4 n7 \6 Z
(setq xxx 18)- t0 B; k6 }8 h# S
(princ)
8 o9 X. x' G! { N' W; ^5 i" T
)/ a( s2 E' i7 y# k1 V3 b6 L* E
(progn Y. ?9 H! ?6 Z; s$ B7 o
(setvar "osmode" 0). ?8 @; G9 F7 i3 |
(command ".ucs" "O" pm) 7 w. L' X5 U( b# O! {
(command ".line" p1 p2 p3 p4 "C") - ]& J+ R/ G7 ~. `1 J( N6 M
(command ".ellipse" "C" do (polar do 0 long1) (polar do (/ pi 2) short1))7 p: d* H1 [- r
(command "ucs" "P")% P/ b1 I* V- }2 r3 m. V9 q# Q0 y
(setvar "osmode" oldmode)
! Q( f3 z- `! o- O; f9 a! S
(setvar "cmdecho" oce)
& x8 r: p8 |( K2 J# j* a. \0 E
(setq xxx 19)
/ N. L, ^1 ]+ R: u
(princ)
, s4 G9 Q/ Y. L U
)
; D. X$ V1 f" j2 l: B. I
)" D1 G3 P' M% A( ]# @ I
)
; p5 F1 ]: L# J' Z# I1 Z
)
, N. x3 b: j. ?' }; C
)
' n3 w' @( g( c- [( ^2 P- m
)
) F/ D7 T# N- `
( (and (> (abs (- (ang (inters p1 p3 p2 p4 nil) p1 p2) (/ pi 2))) 1e-8)7 P9 ` Z a6 n3 e) P2 J% d6 T% z
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8))% N1 [) h6 o, i1 H$ U$ E5 ~( g
(progn& _: c$ \# @* q9 L* J
(alert "斜筝形在这个方向无解")$ C& h2 q& y2 R. N( y
(setvar "cmdecho" oce)
1 w( r7 N6 x2 N+ \( v8 k6 a
(setq xxx 19). N, B1 o) T+ X2 `$ G
(princ)
+ `# I+ r ~6 y7 J( ^7 r2 _7 e
) 7 t% Z. k" R# V
);;对角线在X,Y轴方向的斜筝形无解- W9 E1 k4 V8 c, X/ k" p6 r
( (and (or nil (< (abs (cos (angle p2 p4))) 1e-8) (< (abs (cos (angle p1 p3))) 1e-8))
5 U2 l) I/ P$ G2 ?' V% s
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8)). C, n6 P d! \: r- e* s
(progn. J3 G. Q, S( w g/ P
(if (< (abs (cos (angle p1 p3))) 1e-8)
1 t0 Q4 V+ B; d( U
(setq pch (list p1 p2 p3 p4) yyy 425
2 ]( O0 s; g. L& `' O, ^" D
p1 (cadr pch) p2 (caddr pch)" W$ ^, A8 g* K) n. N% ?# n) |
p3 (cadddr pch) p4 (car pch))
* o7 h- `* N8 o0 \, d
(princ)
5 V" v" r& a) v8 g: }
)
' X2 K8 D4 g; K9 D+ J
(setq pch (list p1 p2 p3 p4))
$ [5 S# `9 |5 z* b1 ^2 }$ H! t& Y
(setq intp (inters p1 p3 p2 p4))1 F; N: A; v# y0 B5 S1 `$ q5 }( W4 M$ m
(setq k1 (tank p1 p2))
3 i; ?; X& p7 A8 Y1 Z
(setq k2 (tank p3 p2))
0 X. w* E9 \" Z- l
(setq dm '(0 0))
& b. W3 K: g+ d2 A$ [: |& r
(setq sx1 (inters dm (polar dm (/ Pi 2) 1) p1 p2 nil))! X7 y0 e! E6 ]0 M
(setq sx2 (inters dm (polar dm (/ Pi 2) 1) p3 p2 nil))/ f5 p) r& ^0 N8 b Y& X/ Q/ k
(setq b1 (distance dm sx1))
9 M3 q3 B3 Y a# L& `* u
(setq b2 (distance dm sx2))' r& h9 A& M2 N( G4 ^+ \
(alert "正筝形在这个方向多解,请输入一段较小的距离,\n距离超出将给出一个指定的圆或椭圆")
( A2 {# o) W, {
(setq xx (getdist "\n请输入一段距离: "))
8 a# X4 P& z. T3 g7 J! M
(setq b1 (+ (* k1 xx) b1))

复制代码

wenwengg · 发表于 2010-1-5 10:02

(setq b2 (+ (* k2 xx) b2))- Y3 D8 P$ z; H5 N# R* q- g3 j% s
(if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0)4 z( e3 `% V b, S% k% S& Z
(< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) )+ \& S, S. X4 F
(progn4 z$ V; ?, K# _# Y
(setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )% ^8 i6 x; z# I/ c- w+ m1 V1 H
(setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) ) 3 ?2 @0 B) u9 }# M7 J* ^. T
(setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )
! K& ^# y0 B# E+ q
(setq b1 (+ (* k1 xx) (distance dm sx1)))
# Q" L Y+ A% n9 L4 R8 Z! M6 ?
(setq b2 (+ (* k2 xx) (distance dm sx2)))
+ _* Z8 d/ V$ I% R
)
" n$ |' `/ _ d+ w
)
! I1 L! S( h, U' M
(setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
$ p) P2 o( ]& h- R7 I! H: g
(setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
/ }+ ^9 K( W$ V# B* O4 R' m% \1 n9 ~
(setq cen1 (list xx 0))
# A4 u0 Z f8 C% D+ ?( _+ h6 T4 Q
(if (or nil (and (< k1 0) (< (car p1) 0))
* a. e6 N7 n; P# N- k$ T
(and (> k1 0) (> (car p1) 0)))* [' F: \3 H9 S. v5 Z9 E/ V
(setq cen1 (list (- xx) 0)))
8 E2 S6 D% p6 U, g0 K, | Y
(if (= 1 xxx)
1 G8 ?% a/ B+ o
(progn S4 f& E7 Z2 Y+ @
(setq cen1 (rot-90 cen1)), I0 H# s9 e' ~, E
(setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
- [) Z6 ~/ T8 n
(setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
0 Q" v# I. i: l5 d
(setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))
$ m' T* G! s3 _+ [7 V/ g2 K5 t1 w
p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))
5 C! Y' w( d0 j8 x% V4 t- ~
)( J% E2 V6 H) c+ O! @7 c
)
; V% l" l; t) K3 j- D" i% ^
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))3 W& n6 C5 G: _* ~) G2 l1 Y1 ]- C
(progn7 m$ {- W S f% A. o2 q! ^
(alert "你输入的距离不合适!")
/ B# u+ A. B) C4 O2 w$ d% m8 o# ?
(setvar "cmdecho" oce)/ L b# {, C( L# o
(setq xxx 18). a* F8 {' J) c( Y0 S/ M- c2 O* `& L
(princ)
0 m$ h7 Q( g) s: Z9 ~1 |9 v* R
)% ~7 O5 H: b* O+ d5 n4 f |: b
(progn
6 t( I: q% V7 E) [8 h1 b5 t. B* M
(setvar "osmode" 0)
$ V( [& Y9 J, s& Z6 W( B
(command ".ucs" "O" pm)$ N: a; G% h( g, v7 X1 y
(command ".line" p1 p2 p3 p4 "C")
" y4 ~" s2 D& @6 }: g& c
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))
6 _+ |# |9 m! r- N; K
(setvar "osmode" oldmode)6 a; v# T$ j3 w) z/ ]( o! M
(setvar "cmdecho" oce)9 V* h+ R3 `7 w* N: b
(princ)
3 i/ G8 Y1 `, D: E
)* {1 L3 y3 W. Z; @9 v
)
. _8 r1 X# l3 |/ {/ D1 I
))
0 @; U7 X% H7 Q! d( q9 p: @1 Z
(t (progn# ^ y: m1 k: H
;;计算直线截距和斜率------------------
4 t/ ^! S4 O: y! N' m. t4 D: P g% x
(setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))0 h+ D$ d, C$ @( G8 q( |: c, g
(setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))
5 ^8 n5 k0 y1 V; u% w3 w8 R
(setq b3 (/ (det2 p3 p4) (- (car p3) (car p4)))), q7 |% G) t# M( }# N
(setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )
2 V/ N/ p9 c5 ^8 c" c& G3 m
;;定义求解椭圆长短轴线函数------------
, ?! \4 h* h8 b, ]/ V
(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)
6 A* y0 P: x& E: i, G: g4 ?# j
;;(defun solvef (k1 k2 k3 k b1 b2 b3)
: l5 C- C$ H. U. w5 p5 g
(setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k))! `2 b; |/ \9 q S1 ~8 S. p [
(setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))
?, o( _) y' m0 l. r, S
(- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))( R. \6 L3 m0 J/ q/ O- x) h* Z2 ~
(- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2)))), _1 ?4 J+ V- Q3 ~7 }& S6 ^$ N! A
(if (< (abs a) 1e-8) (setq a 0) (princ))
, V1 r3 e. g; t2 q) t, ]
(setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))
% v4 \8 ?5 `- A; K! Q4 r, i6 L
(* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))
: _" `, r" C7 u
(* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2))))
' m/ o- z& e/ Y! [ Y
(if (< (abs b) 1e-8) (setq b 0) (princ))
/ P; e s0 U- m6 H1 W1 I% h
(setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))
* K/ y @( J& J0 W2 v8 w$ [, X6 A
(- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3)); r+ K2 j/ v* J- H' r( k
(- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1))))
! k" k" }) A1 r4 I! Y9 `7 J
(if (< (abs c) 1e-8) (setq c 0) (princ))5 K$ i# Q. W$ h: o- g
(setq g1 (roots a b c) g2 (cadr g1) g1 (car g1))- x- c6 x5 P4 h7 ?# Z
(setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))
) f+ m$ q; i. a" U" Z8 ]6 k
s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3))) / Y. q1 i m1 d; u9 Y9 S: j2 G5 }( s
(defun solvex (k1 k2 k3 s1 s2 s3)5 m7 ?) u: K. \) @4 p" h/ k' P
(cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )$ f7 B, K( N& ~1 \: q$ I+ }
((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) )2 p8 B/ I' a7 n+ Z P
((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) )
% q2 |4 w3 S- E( C* U1 \- T) r
(t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
! V, N6 x- G# o* O& T
) 3 M8 X% r# u7 @% H- q
)
9 w6 r0 D1 J. W8 d
(setq sx1 (solvex k1 k2 k3 s11 s12 s13))
, a& F! z& c! V
(setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))/ n0 ?7 {; G) a1 C
(setq sx2 (solvex k1 k2 k3 s21 s22 s23))
4 b }- O0 U3 }: W- U0 B
(setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2)))))
9 m5 P% l6 L* K. B
(list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2))
- p+ f3 x8 r' R! j2 s! {
)1 |! y0 G# m1 i. |6 [
;;计算椭圆的长短轴和中心--5 T' N) u- g/ Q& ^
(setq so (solvef k1 k2 k3 k b1 b2 b3))
# Q8 L' T- Y. N! P9 o( P& O
(setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so)))1 G0 @1 V9 ~0 l( u; y9 z3 J
(setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so)))" l( x0 U6 p1 T) o6 q
(if (= 1 xxx)$ N0 v" n' V/ [8 g. ? Z" @8 c6 O
(progn
2 M; B9 @8 v& V, V! p
(setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so)))" v: }2 {5 s2 }* O4 f9 o
(setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so)))
2 X! l7 {$ T/ {7 D6 u* ^2 b- e: J) C# c
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))3 f$ S7 R1 y, b, E1 Q( g) H" P& g
)
8 w! b# A4 M- e
)
9 m3 L# m$ h4 _' v5 ]* L2 G
;;判断中心点是否在四边形内
, I' h8 u5 C. y: D$ v
;;并且判断所求是否满足要求$ ]( T, i7 ?: ?" \/ L, l/ l. b
(if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5))/ H5 M6 M: w& y
(or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2)))/ @6 p: R( {1 G2 H- Y8 k G- R
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
/ I% L9 X* Q5 X6 Q6 O; z( E
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))4 r- Z- l9 G+ M& h: E S& Q) m
(setq xxx 2)
. c, r& W/ l" t5 l/ t
(setq cen1 cen2 long1 long2 short1 short2 xxx 3)/ q' a' I0 s! z9 P5 D( q
)
) F9 G* a3 f8 M- n5 Q
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
( R4 ~1 q3 y" J" F3 _- ^; Z5 ~
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
. N+ b s. @0 g6 C( ]7 V8 r# w" |
(setq cen2 cen1 long2 long1 short2 short1 xxx 4)
- ^1 H+ q9 s: b# e+ y9 o% X
(setq xxx 5)
/ g* V) h8 B7 q$ c i `! T
)
* B J: [6 @2 C( C: i# h
)
$ m) ` P+ `$ K
;;画椭圆------------------
6 g. ~2 d( \( u2 v3 o9 ^/ e# J
(setvar "osmode" 0)
* \1 x/ ~- I6 O5 @
(command ".ucs" "O" pm)1 @' I2 J8 G1 X0 G" s g0 b% x* w; x* O
(cond ((= xxx 2)
* t' V0 l; L8 T. Y- y6 Z
(progn, |: Z" ?. Z J, x. N1 ^ B
(command ".line" p1 p2 p3 p4 "C")
/ }2 b' j4 U: U; `, L Y; p3 U: E
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
: e, e& N. U, d& c" ?
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))" V; |1 h/ s. R. r1 O
))
; h9 Y% S+ u# K; K* Q8 i
((= xxx 3)6 h0 Y( [1 P B) d; z) U
(progn8 `) a$ H2 A) w) z( Z
(command ".line" p1 p2 p3 p4 "C")
) g1 q v( q7 H
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
/ H& I- r7 q8 v4 }* T) S% F
))
- \4 b* T: g- ~
((= xxx 4)0 t+ U& W+ v; ?# d$ t) f" H
(progn+ h6 L6 y, z8 A3 o
(command ".line" p1 p2 p3 p4 "C") , P' D/ r" e' K
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
* t5 Z! `" t! k3 r+ S
))
. W# W/ Z: G5 t' K) |2 ^1 G( K9 p
((= xxx 5)
, N6 ]5 C% s4 F c% s& Z( m
(progn' W, Y. ?9 \3 E, E. D% F0 o" @- z
(alert "椭圆轴长或比率太少,无解")- u C. E4 G: d: d7 Z# m
(princ)
! `3 T* A9 h" ^3 m$ a- N) Y& ~6 M
)): R4 a! }4 z2 P4 S( u( Q% ~
)
& ]' i2 W# n0 M, s% O, r
(command "ucs" "P")( Y0 M3 J# k9 ~2 D1 Y, L# {2 P9 j
(setvar "osmode" oldmode)
; ] v- ]% ^9 o9 i) w
(setvar "cmdecho" oce)8 y$ d% K' ]$ ^$ [% J
(princ)$ C% d" l9 r( u$ n0 G7 S; M
)
- V3 k# V, h) i# z2 n# [3 V
)
% q# h- b% d, b* L
) " v! F2 l# q3 C! V+ N6 r; P7 {
)2 V" B1 Z- k" W Z
)
" E. }+ F9 n+ B* y) b8 i! O
)
! P. V; e. a" v( G$ ~. F
)
. l N6 D; L9 x$ e8 Z* O1 q/ N7 L" i
)
3 K* D0 q7 o3 x# X* X0 R
)

复制代码

消失的部落 · 发表于 2010-1-5 11:07

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