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 / )8 W9 _' l' G- o5 v( S6 x
(setvar "osmode" $$mpt_osmode)
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(vlr-remove $$mptReactor)
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)
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(defun mpt ( / a b mx my mz )9 P9 ]0 q% \/ `. k) b9 b
(while (not (setq a (getpoint "\nFirst Point : "))))7 i4 P% Y; u0 ?6 L* e" T
(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 $$mpt_osmode (getvar "osmode"))
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(setvar "osmode" 0): R8 t0 N4 m) `9 _2 q
(setq $$mptReactor (vlr-lisp-reactor data '((:vlr-lispEnded . recover_snap))))
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(setq pt (list mx my mz))0 |/ @; E- r6 K
)
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;;******************************************************9 ]5 D0 e6 I" h. z) a4 P, a0 S$ O1 E
;;预定义一些函数
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;;定义平方函数
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(defun sqr (x)
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(* x x)4 L. Z( Y. }3 Q8 A. Q2 Q8 ]. _
)
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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)* u- y7 ]* D/ _% R
(setq a (float a) b (float b) c (float c))
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(if (/= a 0)
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(progn
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(setq t1 (- (* b b) (* 4 a c)))
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(if (>= t1 0.0)
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(progn% Y w: Q$ H6 G: R5 o% H& S
(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)))
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(list x1 x2)
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(progn/ Q& y+ V9 d1 k: n: b" a9 E6 C
(alert "\n根是复数."), _; d: t6 A7 k) ^: p
(setvar "cmdecho" oce)
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(quit)5 @8 t E5 ]4 W3 t( X
)
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(progn
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(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)" S4 E8 j+ V3 z4 P7 m0 t
(progn
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(alert "\n无解")
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(setvar "cmdecho" oce)0 ^* A% K9 u9 P% v% z! C
(quit)
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)
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(progn
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(princ "\n无穷多个解")9 a7 u3 }# i1 T G6 H c# Z5 h
(list 0.0 1.0)( X( {! p0 O" e9 P0 C
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)
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)
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)
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)
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;;;*************************************+ v; p8 C; k* {" U8 H
;;;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 zzz0 f/ L. J" @. \9 S7 X P7 A$ B
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 ()/ q% ]' T: e/ U) b' y
(graphscr)0 Q; G: b. P; q& U+ D# q
(setq oldmode (getvar "osmode"))
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(setq oce (getvar "cmdecho"))
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(setvar "cmdecho" 0)! X3 a/ x6 w) Z- ^
(VL-LOAD-COM)/ `& Q% K- M* W4 p3 o
(setq AcadObject (vlax-get-acad-object)
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AcadDocument (vla-get-ActiveDocument Acadobject)
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mSpace (vla-get-ModelSpace Acaddocument): e5 ?8 A$ N9 j
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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"))
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(setq p3 (getpoint "请输入第三点:\n"))
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(setq p4 (getpoint "请输入第四点:\n"))9 f# ~" H$ E3 ?: Y% N8 K2 Z
;;car: Returns the first element of a list+ M j; M9 e9 z& C6 c) u
;;cadr:Returns the second element of a list
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(setq p1 (list (car p1) (cadr p1)))7 a ]7 Q# ~3 r9 V9 B. c+ k/ m
(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----------------------9 }4 V3 b" A2 p
(defun sub (x y)
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(list (- (car x) (car y)) (- (cadr x) (cadr y)))
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;;定义矢量之叉积,即二阶行列式之值-----
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(defun det2 (p1 p2)$ e+ z8 z* D. _$ t$ ?
(- (* (car p1) (cadr p2)) (* (car p2) (cadr p1)))
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)
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;;定义三点的行列式,即三点之倍面积-----* D+ p# q4 ]/ Z. F) r
(defun det (p1 p2 p3)
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(+ (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------------------: G% f- T5 r0 v) ?
(defun ang (p1 p2 p3 / x)
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(setq x (abs (- (angle p1 p3) (angle p1 p2))))
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(if (< (abs (sin x)) 1e-8) (setq x 0)3 S6 \: i8 b8 j3 |" o" f+ C
(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----& x% s( E4 g5 R5 V* d* K+ h
(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))))8 H9 @6 f% Q* u: P1 ~ Z7 s( 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------------------------) S% f! D. b2 \# ]" k
(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)))- P5 R) X1 M: T+ U4 R% i# |$ R
( (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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(t
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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、3: C# |; i! i7 z& {- p$ z! D* }
(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)))3 S+ x. y; E0 T9 x& D p- [1 \
;;交换坐标，使之成为顺序排列----------
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(setq pch (same p1 p2 p3 p4))
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(setq p2 (car pch) p3 (cadr pch))3 ?; I( o) ]* \/ @' B6 F
(setq pch (same p1 p4 p3 p2))) E6 I7 L Y- I' N( W s
(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)))
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(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------------------------, T! k- L2 o& A$ P7 ^3 _
(defun tank (p1 p2)8 h( i. ]7 r* o
(/ (- (cadr p1) (cadr p2)) (- (car p1) (car p2))))
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;;定义旋转90度函数--------------------7 Z. x+ Q6 f0 q v
(defun rot90 (x) (list (- (cadr x)) (car x)))
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(defun rot-90 (x) (list (cadr x) (- (car x))))" q; Z1 S8 F/ t: x" v- o
;;判断是不是平行四边形----------------; f% m+ A9 T( m& b, l7 J
(setq dm (distance (midp p1 p3) (midp p2 p4)))
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(if (< dm 1e-8)# c! F4 b3 z; h& f& M" D& I( l
(progn1 m. P7 z# \/ p" z& g! s- x) E' J
(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))). m+ k- i0 _# T1 E- x& U: K
(progn
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(princ "这是一个平行xy轴线的长方形")' \1 T1 O( k. o; o% z5 ^9 O0 \
(setvar "osmode" 0)
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(command ".ucs" "O" pm)
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(command ".line" p1 p2 p3 p4 "C")) M+ r- \$ G" D k
(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)) W1 I) }: P( t% h( `' t
(setvar "cmdecho" oce)
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(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)
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)
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(setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))! c8 C# P% l* u0 K! ^$ E4 `7 R
(setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))
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(setq k1 (tank p1 p2) k2 (tank p2 p3)); |$ b( g. o& P1 |
(setq kk (- (sqr k1) (sqr k2)))
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(setq bb (- (sqr b1) (sqr b2)))3 T4 F1 E4 _+ h' T* t' Z2 C) z
(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( N: Y4 F m( G
(if (< (abs (sin (angle p1 p3))) 1e-8) (setq zzz 1) (setq zzz 0))
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(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))
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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")# r8 V$ Y- {& l8 M) `7 I
(setq short1 (getdist "\n请输入一个距离:"))
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(if (<= (- (sqr rmin) (sqr short1)) 1e-4)
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(setq short1 (/ rmin 2))); p! Y( [& l3 _) i
(setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) )- M1 z: s# W: G" _" D# g
(if (or nil (< short1 1e-4) (< long1 1e-4) (< (/ short1 long1) 1e-4) (< (/ long1 short1) 1e-4))
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(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)# C' N3 s% Z4 f% }
(command ".line" p1 p2 p3 p4 "C")
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(if (or nil (and (= xxx 1) (= zzz 1)) (and (= xxx 0) (= zzz 0)))& O3 w/ A4 M4 k' i6 j
(command ".ellipse" "C" '(0 0) (polar '(0 0) 0 long1) (polar '(0 0) (/ pi 2) short1)). Q0 M- h# S" I3 C3 p
(command ".ellipse" "C" '(0 0) (polar '(0 0) 0 short1) (polar '(0 0) (/ pi 2) long1))! F% n% P( w8 e3 d& u' J; R( o
)
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(setvar "osmode" oldmode)
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(setvar "cmdecho" oce)( n$ N3 z8 i6 j0 _: l T
(princ)
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);;判断是不是平行xy轴线的菱形---2 _0 Z5 i/ t' m. V% z% f
(progn
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(setq yy (/ (- (* (sqr k1) (sqr b2)) (* (sqr b1) (sqr k2)) ) kk ) )" W) E8 f: f* S; P9 t4 b% y
(if (or nil (< (/ kk bb) 0) (< yy 0))
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(progn (alert "平行四边形在这个方向无解") (setvar "cmdecho" oce) (princ))
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(progn . S4 U- J5 t, b" c3 R3 ?+ {+ u5 @
(if (= yyy 1)
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(setq long1 (sqrt yy) short1 (sqrt (/ bb kk))' L6 n+ `1 v5 R; K8 t1 C
p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))( S5 y- `; T5 j ?' n. G; m
(setq long1 (sqrt (/ bb kk)) short1 (sqrt yy))# e3 m) O. d2 T# x
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(princ "这是一个可解平行四边形")8 V2 M+ P6 [ B
(setvar "osmode" 0)' { f* B- g& V, d; `; N; Q) g0 l1 P
(command ".ucs" "O" pm)8 r+ A1 v" ]: K' ?
(command ".line" p1 p2 p3 p4 "C")6 a9 E8 y; H% p- `- V) e& o: y
(command ".ellipse" "C" '(0 0) (polar '(0 0) 0 long1) (polar '(0 0) (/ pi 2) short1))7 U0 U# a2 r: `) k: d) B
(command "ucs" "P")7 k4 }) d M1 r- r. t; v" r g
(setvar "osmode" oldmode)
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(setvar "cmdecho" oce)
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(princ)0 y3 p1 W8 k Y$ k3 y% t
)
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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

(progn2 U6 g& c/ x) i2 b d6 u
;;定义旋转90度函数--------------------5 v3 `) ]& ?+ U( f
(setq pm1 (midp p1 p3) pm2 (midp p2 p4))
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(if (< (abs (cos (angle pm1 pm2))) 1e-8)5 ?5 J2 G# J. D+ V- K3 g
(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--------------
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(defun rearray (p1 p2 p3 p4)
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(cond ((< (abs (cos (angle p1 p2))) 1e-8) (list p2 p3 p4 p1))3 N0 f: |) x- A$ c- w2 Z& k
((< (abs (cos (angle p2 p3))) 1e-8) (list p3 p4 p1 p2))
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((< (abs (cos (angle p3 p4))) 1e-8) (list p4 p1 p2 p3))7 y9 X8 z: B) q6 G, ?2 S
(t (list p1 p2 p3 p4)) ) ) @4 F) y0 ?4 g' z5 T
;;计算并交换点------------------------
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(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))3 X) F2 G7 t+ n. I- s4 w3 k( \( e# u. `
(princ)6 m1 n. }+ s, |+ ~! P! ^
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;;判断是不是梯形----------------------9 u) h( F7 u% s- b5 [/ g n
(cond ((and (< (abs (sin (- (angle p1 p4) (angle p2 p3)))) 1e-8)
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(< (abs (sin (angle p1 p4))) 1e-8)). v1 C7 C! Y8 a& g8 j& t# C
(progn
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(setq pm1 (midp p1 p3) pm2 (midp p2 p4))
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(setq dm (midp pm1 pm2))) N8 T* x3 G, G
(setq intp (inters p1 p3 p2 p4))
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(setq do (inters intp (polar intp (/ Pi 2) 1) pm1 pm2 nil))( u; J" q1 _( {) C& ?3 d8 M
(setq p23 (inters do (polar do (/ pi 2) 1) p2 p3 nil))0 H2 P, @$ ]7 D9 @
(setq 0.5h (distance do p23))
5 X$ {$ g1 b# ?3 S) H4 J @
(setq b1 (distance do (inters do p23 p1 p2 nil)))2 S1 D) T* k. l
(if (<= (- b1 0.5h) 1e-6)
" H; C9 m/ B# ` r
(progn
% Y9 S) q V u3 a4 m6 _
(alert "在这个方向的梯形无解")+ \, @5 `0 p7 ^+ o" [
(setvar "cmdecho" oce)0 w' }5 _) i2 V+ a
(setq xxx 17)
v1 q& b$ F6 m$ C8 h$ }/ \
(princ)" a4 C5 w) X$ M" T( o, O; X; W. J
)
: V6 r9 A6 Z9 j" I
(progn 1 s) o; @0 t% C+ j; @
(setq b2 (distance do (midp p1 p2)))
) Z* f; a8 Y" `$ ?$ ~
(setq b3 (/ (* (sqrt (- (sqr b1) (sqr 0.5h))) b2) b1))8 B. i. ~5 U7 P' I
(setq long1 b3 short1 0.5h)
* @5 \; R( ?2 O) |5 B
(if (= 1 xxx)
) l/ V1 A- j, ?1 Q. h
(progn
7 ^' N) F/ T+ }; J4 A: q
(setq long1 0.5h short1 b3)
" a" w7 b& w+ p! x5 l# u, } H
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4) do (rot-90 do))
6 W1 P9 c2 ] c8 [
)
3 o/ B* A5 |& L
); K( H* O( M( l% B z
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))1 X' p" V8 J. ~- ]9 \3 s
(progn; `) c( g( p! j, {- Q9 T
(alert "这个方向的梯形无解")$ I4 d, N# c; _. y O$ X
(setvar "cmdecho" oce); t! X% h f/ f9 |4 ^4 s
(setq xxx 18)
( ]: `$ J! B b/ k( H/ {9 j- o
(princ)
" N. s# B+ ]7 i! w& M( l! C
)
$ V# [. R4 E$ B8 }8 P
(progn r) q5 F* P, h' n) M j1 ]
(setvar "osmode" 0)+ }2 O6 E* W$ F6 n) o
(command ".ucs" "O" pm)
0 y0 m% P( q! s& G! K; f6 k
(command ".line" p1 p2 p3 p4 "C")
2 U J8 E! D$ a# @! E; F! s
(command ".ellipse" "C" do (polar do 0 long1) (polar do (/ pi 2) short1))1 b0 n( c# @% T# X" i
(command "ucs" "P")( c+ o3 {# P8 N* S" G& x+ L
(setvar "osmode" oldmode)! r7 q1 x) \! G$ Q1 ^- B
(setvar "cmdecho" oce)& X# {8 z- B6 G B3 J4 z# s4 v
(setq xxx 19)2 L! q9 L/ }1 q7 \
(princ)* }5 ~ x$ z' [6 ?7 @9 E# I
)
+ I( E# M' r; K
)$ R# U2 _2 C- x# d; C: Z+ j
)
/ o ?" {) a8 r. `4 A5 I
)
}" B9 ?0 I1 E
)7 K. a `. j1 ]! U K: b/ D
)$ r6 C' k0 J9 ~- O$ H4 Q" v
( (and (> (abs (- (ang (inters p1 p3 p2 p4 nil) p1 p2) (/ pi 2))) 1e-8)
: m; L$ |4 L7 t* {; v! Y. F: z
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8))
. S; V- ]8 \5 x$ u
(progn: V1 D6 {8 n9 n' w
(alert "斜筝形在这个方向无解")
, z4 Y/ r) e* k
(setvar "cmdecho" oce)% _" ^9 p8 {, S0 v
(setq xxx 19)0 b6 ^( j* m: ]
(princ)! t3 i% g* {. s" n4 E7 _- ~/ F% O
) ) L4 a& y+ G$ z; M
);;对角线在X,Y轴方向的斜筝形无解
V+ |8 \# {2 c
( (and (or nil (< (abs (cos (angle p2 p4))) 1e-8) (< (abs (cos (angle p1 p3))) 1e-8))
1 T" {/ g; Z+ V$ t+ l% j1 a* |4 O
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8))7 F' N) z0 J9 n5 w) R1 c
(progn
4 u6 r4 `9 f& x0 C# w
(if (< (abs (cos (angle p1 p3))) 1e-8)
( C6 i- h, C! g- Q( z; m- @
(setq pch (list p1 p2 p3 p4) yyy 425 V* H# @6 d! @+ u4 X4 A* m
p1 (cadr pch) p2 (caddr pch)
' q9 |+ ^( o+ Q+ X) E
p3 (cadddr pch) p4 (car pch))
' Z$ b, M+ c |3 g( j6 q1 d
(princ): r5 w; P5 _( A2 T! u
)
7 R; ~" b. r# k/ F% ?5 Z# }
(setq pch (list p1 p2 p3 p4))
3 }! S: C! [5 T0 ^4 A/ q
(setq intp (inters p1 p3 p2 p4))6 n/ d/ r" ]" B( I: d9 X* k/ J
(setq k1 (tank p1 p2)): \7 n: I0 C& D# H/ @& R
(setq k2 (tank p3 p2))) U9 K3 d4 z5 Z+ s4 |
(setq dm '(0 0))6 @/ Z, ^% X% V
(setq sx1 (inters dm (polar dm (/ Pi 2) 1) p1 p2 nil))
2 z8 D( f, d/ v) }0 h
(setq sx2 (inters dm (polar dm (/ Pi 2) 1) p3 p2 nil))
) z4 b& U* ?- _( U
(setq b1 (distance dm sx1))
. b m8 ~8 H; f! h( V2 v
(setq b2 (distance dm sx2))
# h$ e4 x8 @+ b
(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")
% S t* E8 @3 n. A: k8 s; ]) k
(setq xx (getdist "\n请输入一段距离: "))/ e% A( i9 u! z8 E" j8 a
(setq b1 (+ (* k1 xx) b1))

复制代码

wenwengg · 发表于 2010-1-5 10:02

(setq b2 (+ (* k2 xx) b2))& S$ U, q l2 G; x' l
(if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0); p* E0 }/ H# L9 x3 L8 m, f
(< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) )
5 }& k! Y, o! ^5 r: N) e) l
(progn
8 P7 x) A# W: ]8 D6 g2 m3 D
(setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )
! ]. b7 P3 D7 K; W" P+ i
(setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) )
3 l/ F; Z# _) r" V# }
(setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )2 G {6 C2 G* r
(setq b1 (+ (* k1 xx) (distance dm sx1)))' W; Z2 O& f. B$ a3 q* a7 D, J
(setq b2 (+ (* k2 xx) (distance dm sx2)))# @& ? ?9 d* d. q+ y
)7 U: p- \' a) M; t
)
% n" X3 K9 @+ I7 E/ c* g' P) t
(setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))- @* P8 v* c4 Z$ J
(setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))2 V% H3 a5 K& o6 J. t# K
(setq cen1 (list xx 0))
$ Q. {0 L/ X' {! S! X
(if (or nil (and (< k1 0) (< (car p1) 0))
0 U1 V* q5 y5 R
(and (> k1 0) (> (car p1) 0)))% n6 h, b- c- } w& T
(setq cen1 (list (- xx) 0)))
. ~. ^! A, R7 t, y
(if (= 1 xxx), E! ~+ Y* K# r; u
(progn
6 n# M" S7 ] x1 q1 g8 E
(setq cen1 (rot-90 cen1))' q& p1 e5 j% R9 e( W" h
(setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))% [2 v( h+ l! N2 f U, t# d
(setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
+ r' {# V/ @/ {; N
(setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))" X) U6 e# f$ N; a7 M* |
p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))9 D; H% U' o3 o* [3 q# v
)% L8 I( {( I! ]
)
" V0 Y: I. P0 [+ O1 {5 r% h
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))! K I3 [/ h, G6 Y: b; F8 ]
(progn' e1 E& M5 C. i1 p! J% V$ \
(alert "你输入的距离不合适!")
( w& g6 K( H- x; `* S3 L' l9 [
(setvar "cmdecho" oce)* g' ]2 j8 q% ~1 G1 C, f6 o
(setq xxx 18): _3 n. E, E9 O9 l" B' C
(princ)
: K1 o! o9 }: u4 B# a- U. R; Z3 y
)
9 j% W2 @$ U4 p% C5 D9 U
(progn
+ Q4 a, N: i* U( ]- v
(setvar "osmode" 0)# Q+ `0 S/ ? R) J
(command ".ucs" "O" pm)
/ K/ G+ J1 n9 U4 Q& v) ~ I4 h
(command ".line" p1 p2 p3 p4 "C")
1 ? t: J9 p7 Z6 z% y
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))
+ ]) p6 V* T. a( r
(setvar "osmode" oldmode)0 \" n* f8 r0 u8 P9 q$ \# c
(setvar "cmdecho" oce)- @8 ~% Z/ A, U# O3 Z e/ O
(princ)
! h E F- @. p" ^
)
) |2 t' X. A- z, z( | e
)
* r8 j6 P8 g7 y( g& G z4 K- h
)) # b: M* F4 L8 [3 Z) C4 X/ `8 a
(t (progn
* b7 p# f* @7 A( B
;;计算直线截距和斜率------------------
3 @1 n$ N, A9 j& V$ W
(setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))
/ [ ~, d( V2 h2 ~
(setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))
. [: c" R& A! J- h
(setq b3 (/ (det2 p3 p4) (- (car p3) (car p4))))
5 b; ?, }) B, H; n% G3 J# d
(setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )/ p a3 w7 M) {5 L* }: S" C
;;定义求解椭圆长短轴线函数------------
8 |: _9 L9 U( g% q5 [
(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 L: W4 ^5 Z Z3 Q/ [1 G
;;(defun solvef (k1 k2 k3 k b1 b2 b3)) D8 h4 j0 U0 d9 V, ?/ Z+ B3 S
(setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k))/ I/ b+ [% a6 b* K- R" W. B5 H' [
(setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))1 r( \ b7 x" A) A, x# R
(- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))
. V/ z, B) X) @- n
(- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2))))
) G' I) V( ]* C
(if (< (abs a) 1e-8) (setq a 0) (princ))
) \/ r( G9 w. x
(setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))
4 l. A# p% q4 S/ `! x/ f' ~
(* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))0 V* x1 D! E8 L& b
(* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2))))
) R4 T( V: H* a% F
(if (< (abs b) 1e-8) (setq b 0) (princ))
0 {" Y5 G% k6 S5 v* b
(setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))
# x( \; f& Q( h" A9 A8 J
(- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))
& b3 I6 ~ @" p, Q, i/ \5 F0 |3 `% g
(- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1))))
, V8 m- Y" u6 `* d" Q
(if (< (abs c) 1e-8) (setq c 0) (princ))
+ o! g0 w% @- G1 W+ N3 \. ~
(setq g1 (roots a b c) g2 (cadr g1) g1 (car g1))
1 t! _+ k, e1 k# |+ K! m
(setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))! @3 L, z8 v+ G) R1 n! k8 K# M
s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3))) * E* V1 ?4 B& ?6 J8 s9 S
(defun solvex (k1 k2 k3 s1 s2 s3)
: d. R f8 u2 V3 h3 t- J
(cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
0 W" Y. D/ \1 z) V8 B6 z
((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) )9 }# D% n4 v6 w, O5 W
((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) )
* T/ P* o0 Y6 h
(t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )& {! i8 n. u9 \7 W) p
)
9 i6 `& n% f! e4 ?
)0 D* l- ~& q. p u( e. h# v# t
(setq sx1 (solvex k1 k2 k3 s11 s12 s13))
# J0 t0 S2 W3 d9 R
(setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))+ b w: |; n# y% X! `: n* v
(setq sx2 (solvex k1 k2 k3 s21 s22 s23))2 t$ u1 _6 o' B5 {6 Y
(setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2)))))) g/ I! m' @" u7 c$ _' g
(list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2)) & c# {9 y7 H! ?( M
)
) ^3 q9 L& P3 U1 C/ w
;;计算椭圆的长短轴和中心--
2 t+ S. _7 _0 Y: v" q5 e
(setq so (solvef k1 k2 k3 k b1 b2 b3))
& T4 Y# w9 i5 e; k$ v6 n
(setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so)))
" `9 k. `* l% {5 ~, s, Z
(setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so)))7 R7 a1 p) S9 P! t
(if (= 1 xxx)
" }& k% N: k" S, b3 O! R
(progn$ ^5 ` x4 d/ @8 k
(setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so))) I5 [7 _6 U* g: ]. Z& u9 t
(setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so)))' U* S' [5 f# { r; A; v
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))
S; [! F7 _2 T+ g
)* s- T% V: u" \) J! c1 ]
)
/ b; i6 N% @) f2 z, u( b/ z8 i
;;判断中心点是否在四边形内) u. q: c k6 {/ l9 d
;;并且判断所求是否满足要求
( D2 g7 k& {8 v2 F* H
(if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5))% U; a a, ~5 N
(or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2)))
8 c- E/ @' b$ K
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
" A8 u; A2 G4 W3 Z
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2))), ~" s2 g7 R, k) [' g
(setq xxx 2)
& |: K7 H- \5 Z& `* ^% d
(setq cen1 cen2 long1 long2 short1 short2 xxx 3)2 ?: h. g8 M( `! [1 H
)2 i6 k$ G( m3 c# i9 c0 g. b2 O1 x+ ?
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
/ V( G T4 A- [4 b3 W
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))- ]6 b I5 T: }' C- a- S. @
(setq cen2 cen1 long2 long1 short2 short1 xxx 4)6 ?) ~% t. W" u8 K7 {2 B
(setq xxx 5)
- k) p) l+ h& |" y; k
) 7 O, _2 r/ A. c
)
! Z2 d1 V9 _: j8 R
;;画椭圆------------------' Y4 p+ k! }2 e& h1 L3 i
(setvar "osmode" 0)5 U! S! u5 M5 [& r1 C5 p' `( N
(command ".ucs" "O" pm)
4 I* v$ G' _' r' u. a9 @) X( \
(cond ((= xxx 2)
) N0 a" a: D6 I2 k* }
(progn( e2 {& [6 _5 y" I) N7 Q0 p
(command ".line" p1 p2 p3 p4 "C") . O1 v' M6 F, {; g9 o$ n9 M
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))4 H" B) A, p) s, x* d
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))9 H& E) a9 {' n6 d3 t
))
, T% W* e7 Q# ^) q6 }
((= xxx 3)
$ i$ V9 |/ V8 o
(progn) F ]' D3 Q0 G: T4 K; I& W
(command ".line" p1 p2 p3 p4 "C")
: A8 u S! ?: G+ Q3 s6 T- Q
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2)); w: W3 K0 `' P) T
))
, G& e$ z4 v V; @. g
((= xxx 4): h1 v8 P& X3 X# o" J
(progn7 d3 N8 A/ p- T! ~" I- i0 Y) E6 Z8 f# L
(command ".line" p1 p2 p3 p4 "C")
' R# z' X0 Q- f. G5 x
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))% R4 H/ h6 w: r! e! z _
))/ N6 I; p+ B5 l* T: T1 m3 R4 d
((= xxx 5)
- T% Y8 W) s) G" ?7 E
(progn# S6 H* D. ^6 E
(alert "椭圆轴长或比率太少,无解")) h7 P" J' s& ^
(princ), f9 f Z- C% [$ u
))
7 S# Y! X- d9 h% l) p; Y) N
)
- z. S8 C# N' K7 M+ ]
(command "ucs" "P")
- R- Y' k$ I) @) _9 n# ~' W
(setvar "osmode" oldmode)
% p5 G/ D$ V7 g, u: j
(setvar "cmdecho" oce)
8 g3 K4 }# d) e( {3 F0 L8 i
(princ)
4 b1 m h5 \/ @, J; t1 }, k/ {
)- i8 G2 z9 X; u3 {5 E
)
; }4 i% d( f ]0 y) A9 E
)
: u& w4 s0 R# @3 h
)& K3 [6 a0 X$ h5 p
)
' c# G6 P& p* u+ H
)
* I8 N, {& |4 f. V2 {% O
)8 N. I( `: H; Q( O1 H& F& i
)( y& f& ^9 L2 |1 ^ P
)

复制代码

消失的部落 · 发表于 2010-1-5 11:07

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