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 / )& ]! I! O& Q; g+ F) J7 E t
(setvar "osmode" $$mpt_osmode)
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(vlr-remove $$mptReactor)
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(defun mpt ( / a b mx my mz )
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(while (not (setq a (getpoint "\nFirst Point : "))))
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(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)) F' [8 x7 o( ?7 q
(setq mz (/ (+ (caddr b) (caddr a)) 2.0))& v' w* h4 G$ @: v
(setq $$mpt_osmode (getvar "osmode"))# U0 |2 z6 p g& s& c9 ^) k
(setvar "osmode" 0)5 X) R+ h! n# l% c3 P+ s& W
(setq $$mptReactor (vlr-lisp-reactor data '((:vlr-lispEnded . recover_snap))))% ^5 P3 E7 `& j7 e# ]1 }+ ?
(setq pt (list mx my mz))4 o3 L# A4 u7 W% T2 @
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;;******************************************************
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;;预定义一些函数
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;;定义平方函数+ C4 q k0 W- c
(defun sqr (x)) X$ b& M/ @) l3 h3 @2 Z* ?. u X
(* x x)3 T) Z! G/ Q0 |7 d1 {2 u# V
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;;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)! t. o2 d, Y% l/ ]* W+ ^6 w
(setq a (float a) b (float b) c (float c))
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(if (/= a 0)
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(progn% @0 S2 u! z s/ F) s& |
(setq t1 (- (* b b) (* 4 a c)))
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(if (>= t1 0.0)
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(progn
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(setq t2 (sqrt t1))
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(setq x1 (/ (- t2 b) (* 2 a)))
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(setq x2 (/ (- 0.0 t2 b) (* 2 a)))0 ]2 [' u k1 v4 e" ?
(list x1 x2)- j' m6 _! j- r' n* F3 _
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(progn
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(alert "\n根是复数.")4 F. m/ m- j) L1 A! a; g# ?
(setvar "cmdecho" oce)/ e2 \+ X5 C. v5 @7 s' L3 a
(quit)
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)
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(progn# s* n7 I5 u/ ^
(if (/= b 0)
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(setq x1 (list (/ (- c) b) (/ (- c) b)))
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(progn
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(if (/= c 0)* ?4 {4 ?" }2 v0 m3 t8 N
(progn0 z. L8 `, @) i( Z# l* J
(alert "\n无解")) j, J5 [# H; P& C3 L
(setvar "cmdecho" oce)
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(quit)9 x" {) G' p( h: |! `! o# n
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(progn
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(princ "\n无穷多个解")) V5 R. @4 V* v9 ^+ ~
(list 0.0 1.0)) @2 p0 ^* [* q7 m& {' p& [; K
)
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)
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)
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;;;*************************************& d& p- _. i+ Y4 q/ H) ^- j+ Q
;;;取点,并进行座标转换以及判断和坐标交换
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(defun C:aaa (/ p1 p2 p3 p4 pch pm dm pm1 pm2 k1 k2 k3 k b1 b2 b3 oldmode oce xxx yyy zzz
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rmin rmax short1 long1 short2 long2 intp do p23 0.5h yy kk bb sx1 sx2 sy1 sy2)% [* E; m+ W! l7 {+ Y) d0 K8 i1 D$ ~
;;(defun C:aaa ()( s4 a# W' |. u: h0 t
(graphscr); ^, j. b8 f7 C' n5 b; t5 R# B
(setq oldmode (getvar "osmode"))
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(setq oce (getvar "cmdecho")), E9 t. p: g8 {: \7 {
(setvar "cmdecho" 0)
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(VL-LOAD-COM)8 ~: ]/ H9 M- \. `
(setq AcadObject (vlax-get-acad-object)
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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"))) ^( X3 p: r% D! B
(setq p2 (getpoint "请输入第二点:\n"))& r0 Q, { ^( s, C$ C
(setq p3 (getpoint "请输入第三点:\n"))- S1 H7 H8 J9 J2 I7 I
(setq p4 (getpoint "请输入第四点:\n"))3 C9 }) s) g5 P0 }$ z
;;car: Returns the first element of a list, Q6 N. ^9 J1 Q7 u: P7 ]
;;cadr:Returns the second element of a list) L% N; ~: @ {! a; V& I& m+ _; m3 ~
(setq p1 (list (car p1) (cadr p1)))
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(setq p2 (list (car p2) (cadr p2)))
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(setq p3 (list (car p3) (cadr p3)))
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(setq p4 (list (car p4) (cadr p4)))
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;;定义两矢量之差----------------------: v1 _% E2 {* t
(defun sub (x y)
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(list (- (car x) (car y)) (- (cadr x) (cadr y))). o1 J; Z5 j7 v
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;;定义矢量之叉积,即二阶行列式之值-----. F. F, y/ B2 m# |: g
(defun det2 (p1 p2)) g1 u8 |3 N7 |$ L! |0 J9 R6 }1 a
(- (* (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-----5 @9 e' B8 D* J) d2 u H1 C7 u- W ?
(defun det (p1 p2 p3)$ z" g0 f" g1 z2 C* p
(+ (det2 p1 p2) (det2 p2 p3) (det2 p3 p1))
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)
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;;定义没有方向的夹角------------------
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(defun ang (p1 p2 p3 / x)
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(setq x (abs (- (angle p1 p3) (angle p1 p2)))), v- o- W' S1 _# F
(if (< (abs (sin x)) 1e-8) (setq x 0)
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(progn (if (> x pi) (setq x (- (* 2 pi) x)) (setq x x) ) ) ) )
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;;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)6 k$ a p) l( ` _6 T2 s
(setq x (- (* 2 pi) (+ (ang p1 p2 p3) (ang p1 p3 p4) (ang p1 p4 p2))))- B+ t% K: X6 Y9 ]- o
(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)))
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(progn (alert "有三点在同一条直线上\n请重新输入") (setvar "cmdecho" oce) (princ)))* c5 d: }5 u" h) J( z1 ^
( (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, P2 T! {; ^* o* p0 I( C
;;判断3、4点是否在同一边，否则交换2、3/ ]( W; J1 d) s7 U; V" G2 ?
(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))): D! m# r7 a) M9 U
;;交换坐标，使之成为顺序排列----------
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(setq pch (same p1 p2 p3 p4))( O" Q: \* i; Z
(setq p2 (car pch) p3 (cadr pch)). c9 T" }' A N% n! c
(setq pch (same p1 p4 p3 p2))
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(setq p4 (car pch) p3 (cadr pch))
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;;取中点为原点------------------------
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(setq pm (midp (midp p1 p3) (midp p2 p4)))
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(setq pm (list (car pm) (cadr pm))). P7 J6 \( f" r" t
(setq p1 (sub p1 pm) p2 (sub p2 pm) p3 (sub p3 pm) p4 (sub p4 pm)), [, [# q: c- P/ x
;;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--------------------
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(defun rot90 (x) (list (- (cadr x)) (car x)))9 F* \# q( J+ t( x p( h
(defun rot-90 (x) (list (cadr x) (- (car x))))
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;;判断是不是平行四边形----------------
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(setq dm (distance (midp p1 p3) (midp p2 p4)))
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(if (< dm 1e-8)/ i1 s9 |+ F0 z
(progn: t( `! v- ^; W- s+ H
(if (and (< (abs (- (ang p1 p2 p4) (/ pi 2))) 1e-8)! ]( v% F0 M# H* B5 Q- w
(or nil (< (abs (cos (angle p1 p2))) 1e-8) (< (abs (cos (angle p1 p4))) 1e-8)))
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(progn
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(princ "这是一个平行xy轴线的长方形")
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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")1 j8 i: c8 v% h0 ?* T/ x
(command ".ellipse" "C" '(0 0) (midp p1 p2) (midp p1 p4))
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(command "ucs" "P")
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(setvar "osmode" oldmode)+ b, D P/ x: u! L
(setvar "cmdecho" oce)$ q. {" Z8 j, C
(princ)
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);;判断是不是平行xy轴线的长方形----
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(progn
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(if (or nil (< (abs (cos (angle p1 p2))) 1e-8) (< (abs (cos (angle p1 p4))) 1e-8))
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(setq p1 (rot90 p1) p2 (rot90 p2) p3 (rot90 p3) p4 (rot90 p4) yyy 1)
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(setq yyy 0)' m" x# I; O, z' v
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(setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))
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(setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))
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(setq k1 (tank p1 p2) k2 (tank p2 p3))
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(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))1 w( \% i0 J1 ~* `8 v9 e2 x- K3 L
(if (< (distance p1 p3) (distance p2 p4))
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(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))( f- Y6 O r. t1 X! J' x0 B
(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")4 O& d# e( O0 {5 z
(setq short1 (getdist "\n请输入一个距离:"))
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(if (<= (- (sqr rmin) (sqr short1)) 1e-4)5 x3 m) F4 n! w9 u
(setq short1 (/ rmin 2)))- g4 Q0 o5 M( W5 _' E$ n
(setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) )0 i# r4 S4 S2 v0 r$ ^, q+ f. S* V
(if (or nil (< short1 1e-4) (< long1 1e-4) (< (/ short1 long1) 1e-4) (< (/ long1 short1) 1e-4))& ?2 }& e! u- x: j% ?. D; y
(setq short1 (/ rmin 2)) )
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(setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) )
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(setvar "osmode" 0)
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(command ".ucs" "O" pm)" |- N/ T0 q8 a2 z6 O0 f7 O
(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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)
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(setvar "osmode" oldmode)
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(setvar "cmdecho" oce)
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(princ)% l. t/ C3 Y' t& b
);;判断是不是平行xy轴线的菱形---
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(progn! ~" n. c0 e" o$ E, g8 m
(setq yy (/ (- (* (sqr k1) (sqr b2)) (* (sqr b1) (sqr k2)) ) kk ) )
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(if (or nil (< (/ kk bb) 0) (< yy 0)), p3 M0 u& {5 U- ^3 }
(progn (alert "平行四边形在这个方向无解") (setvar "cmdecho" oce) (princ))" Q1 R* s1 i0 U5 L# F6 C! |
(progn - e% e6 A8 g, h* W* t
(if (= yyy 1)% W- {2 O. B% o1 i- Q+ |
(setq long1 (sqrt yy) short1 (sqrt (/ bb kk))
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p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))
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(setq long1 (sqrt (/ bb kk)) short1 (sqrt yy))" J# R9 x! }# F3 P9 }8 D
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(princ "这是一个可解平行四边形")
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(setvar "osmode" 0)8 w! A% @1 P3 I+ B6 p5 h9 ~6 W
(command ".ucs" "O" pm)3 D5 {" h9 w0 {4 H" n" y
(command ".line" p1 p2 p3 p4 "C")
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(command ".ellipse" "C" '(0 0) (polar '(0 0) 0 long1) (polar '(0 0) (/ pi 2) short1))) w" O! F* `! @* e( h/ ?9 @0 W$ Y
(command "ucs" "P")* E* C2 D! Y8 I0 O( r
(setvar "osmode" oldmode): q8 ^! H+ O: a
(setvar "cmdecho" oce)- j& c- D* p8 ~3 s
(princ)
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)
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)( c3 B6 |7 D% `& d
)
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)

复制代码

wenwengg · 发表于 2010-1-5 10:01

(progn
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;;定义旋转90度函数--------------------
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(setq pm1 (midp p1 p3) pm2 (midp p2 p4))
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(if (< (abs (cos (angle pm1 pm2))) 1e-8)) Q* [! r) X! s! t9 o0 _- I
(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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;;定义重新排列点序列函数--------------6 ~" r" ^ W) a; j3 x, E% S1 U# ^
(defun rearray (p1 p2 p3 p4): p9 k( H" d! O- I2 ^
(cond ((< (abs (cos (angle p1 p2))) 1e-8) (list p2 p3 p4 p1))
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((< (abs (cos (angle p2 p3))) 1e-8) (list p3 p4 p1 p2))4 Q9 u; A0 A/ Y( Y8 V
((< (abs (cos (angle p3 p4))) 1e-8) (list p4 p1 p2 p3))
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(t (list p1 p2 p3 p4)) ) )
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;;计算并交换点------------------------$ X3 h* y3 n: }# j: o2 V' V
(setq pch (rearray p1 p2 p3 p4))
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(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)
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(setq p1 (cadr pch) p2 (caddr pch) p3 (cadddr pch) p4 (car pch))
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(princ)
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)
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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)2 o4 d: h% m7 Y3 m
(< (abs (sin (angle p1 p4))) 1e-8)); Q( S$ ?! l% n( n
(progn
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(setq pm1 (midp p1 p3) pm2 (midp p2 p4))
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(setq dm (midp pm1 pm2))* n/ m |2 w5 o5 {2 h9 Z
(setq intp (inters p1 p3 p2 p4))' B+ B1 f6 k3 X: j
(setq do (inters intp (polar intp (/ Pi 2) 1) pm1 pm2 nil))
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(setq p23 (inters do (polar do (/ pi 2) 1) p2 p3 nil))
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(setq 0.5h (distance do p23))1 c* ^. M4 X% o& {
(setq b1 (distance do (inters do p23 p1 p2 nil)))
1 T4 A& F- G6 ^- K; S" L: A' v
(if (<= (- b1 0.5h) 1e-6)6 v, c/ W6 A8 ^7 c
(progn+ K4 ?. Y/ W6 X* U
(alert "在这个方向的梯形无解")
9 q# K1 C0 t! H( P
(setvar "cmdecho" oce)3 X. O+ r+ ]4 B$ j; h! ~$ Y
(setq xxx 17)
" |4 @, w! B% s1 K5 R
(princ)
, i- ^. W4 m. g) C/ g
)( }$ j: C( v1 U, S0 X( C$ {1 M
(progn - N- F0 h2 V) s L' R9 a# Z
(setq b2 (distance do (midp p1 p2)))" |2 O: y0 s7 r
(setq b3 (/ (* (sqrt (- (sqr b1) (sqr 0.5h))) b2) b1))' G/ N' m! J9 d' E8 U
(setq long1 b3 short1 0.5h)
; i$ h5 X p ~- {9 }
(if (= 1 xxx)
7 x, b5 B2 N) i) m$ y& n7 U
(progn * u T/ f! c4 E8 _* d; R1 x* I0 v
(setq long1 0.5h short1 b3)8 q t/ [8 X, R& F9 q3 Y7 [
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4) do (rot-90 do))
, V9 ?) I3 |/ `3 Y) q5 H
)
5 A/ @7 q9 z2 T9 }$ s
)+ J+ m2 u/ I& J5 P# L! R2 i4 I
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))
+ d' v1 K* s) i# P8 E8 Z
(progn
6 N2 q; O. G; E+ d0 W
(alert "这个方向的梯形无解")
7 f9 O' o* |4 Y# M. X, B
(setvar "cmdecho" oce)
2 c6 N! J* N" b0 ~2 N+ Z8 }
(setq xxx 18)
4 a; s8 x' O7 R
(princ)
$ i% S; L% [- Q1 z' q4 ~
)
# {# E( x( L& b+ U8 p
(progn+ S- i& U* z/ k5 ^
(setvar "osmode" 0)4 g0 \& W9 K# r, `* y! Z; m
(command ".ucs" "O" pm) 0 Z/ a8 \* M4 i- i3 b' e$ h
(command ".line" p1 p2 p3 p4 "C")
* ?% e4 L0 o5 ]2 t+ X/ l
(command ".ellipse" "C" do (polar do 0 long1) (polar do (/ pi 2) short1))
) M% k' h A* ?
(command "ucs" "P")
' ~2 c v* e0 `: W
(setvar "osmode" oldmode)
/ ]7 W( I" H! B) h
(setvar "cmdecho" oce)
, o: F' s6 E* B
(setq xxx 19)- K/ d. ^" Y- K. F
(princ)
6 n* I; u7 r* B g3 v
). M1 A" L/ R( j& B3 G$ t/ W; u
)
# h5 J( t2 t2 x
)
& N( R& N5 R, P* e& F6 y
), y( m, q% N2 {; v2 q- [
)5 D! }. T3 Q. n. m7 J- Y- N
)
$ ` i1 E2 z3 z, T3 ^, Y2 |# ^) [
( (and (> (abs (- (ang (inters p1 p3 p2 p4 nil) p1 p2) (/ pi 2))) 1e-8)0 F0 N4 o- }. q: ]: D
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8))
9 R% D+ g3 a/ {( w, I7 ]
(progn
, F% ^8 ~1 M- p! {+ s
(alert "斜筝形在这个方向无解")
- g+ I2 \$ F7 p% x! n# [! G) p* h6 ?
(setvar "cmdecho" oce)2 i5 z, t# H4 ?( x! a
(setq xxx 19)
$ `. p4 e- a$ U8 z
(princ)4 d) V- s1 S2 G% b9 T4 d1 Y5 D
)
1 G* `1 K% i. Q: H
);;对角线在X,Y轴方向的斜筝形无解: E+ M" v6 H1 M9 F; v
( (and (or nil (< (abs (cos (angle p2 p4))) 1e-8) (< (abs (cos (angle p1 p3))) 1e-8))
- ]$ f$ W; M, L5 e3 M" C
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8))) t4 c T3 V* w" V2 V4 h
(progn* Y: w# O( o6 U; ]$ V
(if (< (abs (cos (angle p1 p3))) 1e-8) 7 i1 p, U2 l& ]" v4 `* I
(setq pch (list p1 p2 p3 p4) yyy 425: }- V7 I- \7 q
p1 (cadr pch) p2 (caddr pch)+ J$ x5 Q+ m* a
p3 (cadddr pch) p4 (car pch))
/ M3 d+ j1 H5 w. j) E4 \" D* v
(princ)
6 a! D/ O/ i a
)
/ D. Y6 f% b, u& ~* ^' O
(setq pch (list p1 p2 p3 p4)): V5 a/ V! i, W; B0 P/ _
(setq intp (inters p1 p3 p2 p4))4 `! O( `5 T: q: V1 z6 U% R/ X
(setq k1 (tank p1 p2))9 v9 r( T$ p+ V* _6 Q
(setq k2 (tank p3 p2))
/ i2 s6 @1 ~+ X% N1 X
(setq dm '(0 0))
5 h, d, b- a: F7 F5 S- B) C
(setq sx1 (inters dm (polar dm (/ Pi 2) 1) p1 p2 nil))
5 @; _4 Q6 x& J; x+ ^. P! | x
(setq sx2 (inters dm (polar dm (/ Pi 2) 1) p3 p2 nil)), K) t0 i/ _2 r) x4 \6 h
(setq b1 (distance dm sx1))
1 N/ B5 m# \5 J) h. ^& q
(setq b2 (distance dm sx2))- U$ ~& q2 e6 L/ Q. i1 M0 p6 q
(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"). g- S6 N6 t' K# i3 L! V' L* {
(setq xx (getdist "\n请输入一段距离: "))
, r2 A3 T" v# B5 c% C# i
(setq b1 (+ (* k1 xx) b1))

复制代码

wenwengg · 发表于 2010-1-5 10:02

(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
)

复制代码

消失的部落 · 发表于 2010-1-5 11:07

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