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 / )" V, t: m# H5 k7 I
(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 )
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(while (not (setq a (getpoint "\nFirst Point : ")))), w5 Q. K' u: D( _
(while (not (setq b (getpoint a "\nSecond Point: "))))2 P' ~& f. W P9 a1 P& B
(setq mx (/ (+ (car b) (car a)) 2.0))
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(setq my (/ (+ (cadr b) (cadr a)) 2.0))- B6 L7 l: ?+ B9 }
(setq mz (/ (+ (caddr b) (caddr a)) 2.0))7 c5 k$ k, u/ m8 [$ Q9 A3 \8 ~5 _
(setq $$mpt_osmode (getvar "osmode"))
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(setvar "osmode" 0); H& p3 z. m R7 r
(setq $$mptReactor (vlr-lisp-reactor data '((:vlr-lispEnded . recover_snap))))' F2 K6 l& J: c5 F
(setq pt (list mx my mz))' [' p! O4 \& k/ x$ [ ^8 s f$ r
)
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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
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(defun sqr (x)4 B3 r; g8 p8 |) d% b6 m
(* x x)
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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)
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(setq a (float a) b (float b) c (float c))7 H+ t& g3 r ]8 W* u
(if (/= a 0)) ?, L; F! i+ W4 W/ @
(progn) O c+ S. v: i7 E; h
(setq t1 (- (* b b) (* 4 a c)))
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(if (>= t1 0.0)
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(progn' K# v* j) {( C8 A" x# w
(setq t2 (sqrt t1))2 m/ ~. j1 f/ F
(setq x1 (/ (- t2 b) (* 2 a)))* t; P/ H3 b/ Q7 i; }4 r: e; B
(setq x2 (/ (- 0.0 t2 b) (* 2 a)))" x$ V6 f6 e7 F& Y4 `/ N
(list x1 x2)5 y* }' Z; q) D
)
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(progn
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(alert "\n根是复数.")
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(setvar "cmdecho" oce)4 I9 k: W& k! D, u: U
(quit), Z' `$ f2 u4 Q" ~" n6 g
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)
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(progn$ C) c8 B8 O) B' K
(if (/= b 0)6 n: ]% @8 s2 I2 g; V; A/ J5 }( q
(setq x1 (list (/ (- c) b) (/ (- c) b)))
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(progn
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(if (/= c 0)9 R" ~: H0 {5 u& G+ c% `
(progn
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(alert "\n无解")
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(setvar "cmdecho" oce)
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(quit)
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(progn- [( N! f* b; j2 {
(princ "\n无穷多个解")
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(list 0.0 1.0)
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)
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)
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)
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;;;*************************************& ?3 {. t4 l0 n% I- z
;;;取点,并进行座标转换以及判断和坐标交换" {& q. m$ W9 f; i$ ?" s
(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)
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;;(defun C:aaa ()
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(graphscr)
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(setq oldmode (getvar "osmode"))& Z5 m: H+ l! ?
(setq oce (getvar "cmdecho"))8 ]& |3 A: _9 T1 @. C9 F
(setvar "cmdecho" 0)
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(VL-LOAD-COM)5 p+ h6 E) e) N
(setq AcadObject (vlax-get-acad-object); m; t) H# q1 S: ?( ]. B
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-----------------* Y" `+ ^; d3 g
(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"))$ @+ \) D( z5 Y' c# ?6 d$ C! l% m
(setq p4 (getpoint "请输入第四点:\n"))
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;;car: Returns the first element of a list
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;;cadr:Returns the second element of a list/ f' @- R* p, ?+ `
(setq p1 (list (car p1) (cadr p1))); u; m% V) v b% \' a- Z# p1 A, y
(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----------------------
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(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-----* Q# M o* }9 D
(defun det2 (p1 p2)+ p: R4 d# C/ e Z8 O
(- (* (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)
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(+ (det2 p1 p2) (det2 p2 p3) (det2 p3 p1))
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;;定义没有方向的夹角------------------
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(defun ang (p1 p2 p3 / x)) K, t( V' m9 \6 a. w" ?$ }
(setq x (abs (- (angle p1 p3) (angle p1 p2))))
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(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). p$ k$ }4 E) v; I2 L5 a6 O
(setq x (- (* 2 pi) (+ (ang p1 p2 p3) (ang p1 p3 p4) (ang p1 p4 p2))))2 j' B# m5 J/ F) M" Y3 _3 o
(if (< (abs x) 1e-8) (setq x T) ))

复制代码

wenwengg · 发表于 2010-1-5 10:00

;;------------------------------------' Z' t% n5 J" y y! }2 p
;;进入程序主段------------------------8 S& P4 z& K9 U$ x% c ]
(cond ( (= 0 (* (ang p1 p2 p3) (ang p2 p3 p4) (ang p3 p4 p1) (ang p4 p1 p2)))! e' ^2 t7 X/ b# ~" v+ y
(progn (alert "有三点在同一条直线上\n请重新输入") (setvar "cmdecho" oce) (princ)))5 W/ a+ A/ T8 T" D! k' \* o1 ^; i/ l# V- Q
( (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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(progn6 j8 t W6 ?1 O! Y9 u) z
;;判断3、4点是否在同一边，否则交换2、34 E7 C+ A+ V# d0 k- Y' W$ u) n
(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)))
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;;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))6 y' l9 R7 a/ }
(setq pch (same p1 p4 p3 p2))# z) N# N) p; k
(setq p4 (car pch) p3 (cadr pch))6 Z6 a/ q# m( ~2 b
;;取中点为原点------------------------ r/ }4 c. e. q, D: h; w7 I
(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------------------------8 A4 v2 n% T0 A* m
(defun tank (p1 p2)
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(/ (- (cadr p1) (cadr p2)) (- (car p1) (car p2))))( D; s9 N, G( T q3 o9 p; U9 Z
;;定义旋转90度函数--------------------6 X! q2 S8 A! N
(defun rot90 (x) (list (- (cadr x)) (car x)))
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(defun rot-90 (x) (list (cadr x) (- (car x))))
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;;判断是不是平行四边形---------------- d; i1 j3 [9 U* l- i) o2 @
(setq dm (distance (midp p1 p3) (midp p2 p4)))
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(if (< dm 1e-8)0 ]2 F) E) h( d# b7 P6 p
(progn: Y/ H3 @. Q' p5 B! H6 l& p* C
(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)))
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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)5 h2 `3 @; M0 r$ R7 J9 X% g ^
(command ".line" p1 p2 p3 p4 "C"); c$ Q( z0 Q* s) {3 k0 W
(command ".ellipse" "C" '(0 0) (midp p1 p2) (midp p1 p4)); i2 S8 s. f3 S" v# v
(command "ucs" "P")
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(setvar "osmode" oldmode)
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(setvar "cmdecho" oce)
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(princ): ~/ q1 u" L! }; p7 t
);;判断是不是平行xy轴线的长方形----
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(progn3 u3 j) O5 ~" l5 R0 y
(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). ?! G" i) e) ~3 C$ I
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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)))0 \# F: [! ?/ q2 x' z# S" ~
(setq bb (- (sqr b1) (sqr b2)))
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(if (and (< (abs (- (ang '(0 0) p1 p2) (/ pi 2))) 1e-8)& N3 r; X k8 s, N3 c7 h
(< (abs (* (sin (angle p1 p3)) (sin (angle p2 p4)) ) ) 1e-8))
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(progn# Q+ {& u" B# I* p& m2 ?6 `$ e& E
(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))- D# ?8 J; e3 j
(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)
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(setq short1 (/ rmin 2)))0 \" ^0 A3 u4 j. m6 O( N3 m5 {7 O
(setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) )% G `" a% r6 c( y
(if (or nil (< short1 1e-4) (< long1 1e-4) (< (/ short1 long1) 1e-4) (< (/ long1 short1) 1e-4))6 p. X# Y7 |2 Q
(setq short1 (/ rmin 2)) )8 s* y5 {3 l# D
(setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) )
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(setvar "osmode" 0)( c5 \7 h: _% y& A0 d& D2 |4 r
(command ".ucs" "O" pm)
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(command ".line" p1 p2 p3 p4 "C")6 e' x$ ?( _/ L& J: o$ P
(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))& O! [# c& {3 n3 L$ C3 C
(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); |% I* p5 L5 T
);;判断是不是平行xy轴线的菱形---
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(progn
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(setq yy (/ (- (* (sqr k1) (sqr b2)) (* (sqr b1) (sqr k2)) ) kk ) )
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(if (or nil (< (/ kk bb) 0) (< yy 0))4 Q: g9 I- [% |4 N+ @& \
(progn (alert "平行四边形在这个方向无解") (setvar "cmdecho" oce) (princ))9 U- s) r& H" r0 {- Y& ~+ ^
(progn
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(if (= yyy 1)
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(setq long1 (sqrt yy) short1 (sqrt (/ bb kk)): z% Y! h4 {' E. t) F- {' }
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))1 A! U! d4 Q% K& {
): _: y" h* I" p1 X5 d1 j- v
(princ "这是一个可解平行四边形") \7 F; G& Z& H8 ^
(setvar "osmode" 0)4 J u! G/ \) I! ^/ O: K, S# S* r
(command ".ucs" "O" pm)# m: S% J* i. U- h' e/ n
(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))
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(command "ucs" "P")
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(setvar "osmode" oldmode); e2 s0 ~3 p" ]/ B+ j
(setvar "cmdecho" oce)- v2 H" t/ k; o- a4 g
(princ)# Y/ F9 A1 }# U9 a
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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

(progn7 j1 i7 Q9 X. H% q; n" c2 ]
;;定义旋转90度函数--------------------% Q! K/ U: o$ v( n3 d" m( B! W# L
(setq pm1 (midp p1 p3) pm2 (midp p2 p4))' n/ A7 u" _" y; w
(if (< (abs (cos (angle pm1 pm2))) 1e-8)
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(setq p1 (rot90 p1) p2 (rot90 p2) p3 (rot90 p3) p4 (rot90 p4) xxx 1)" v% w$ s# N f6 M
(setq xxx 0)" `" `4 u8 q. A0 G/ ~
)/ n) v$ o0 r5 {+ W. M
;;定义重新排列点序列函数--------------8 Q3 i; m' h, o, y
(defun rearray (p1 p2 p3 p4)$ t9 S8 y+ {, _; O* h
(cond ((< (abs (cos (angle p1 p2))) 1e-8) (list p2 p3 p4 p1))
: @ k8 ^' w5 t7 ]
((< (abs (cos (angle p2 p3))) 1e-8) (list p3 p4 p1 p2))$ [$ U# Z0 Q# h$ L( V1 Q" \
((< (abs (cos (angle p3 p4))) 1e-8) (list p4 p1 p2 p3))
) G( }- j( b0 T
(t (list p1 p2 p3 p4)) ) )2 s z8 C7 Y6 C
;;计算并交换点------------------------" p0 @& m/ V& d% u; z: r
(setq pch (rearray p1 p2 p3 p4))4 S1 [+ m( _3 Z2 A! {
(setq p1 (car pch) p2 (cadr pch) p3 (caddr pch) p4 (cadddr pch))7 G1 |2 D6 G1 T; {: z! U
(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)' d1 B5 }1 V1 J; f. p4 j" `
)
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;;判断是不是梯形----------------------% Z+ G8 _8 y: i
(cond ((and (< (abs (sin (- (angle p1 p4) (angle p2 p3)))) 1e-8)
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(< (abs (sin (angle p1 p4))) 1e-8))
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(progn ' [+ ?0 {2 o/ r3 k( X
(setq pm1 (midp p1 p3) pm2 (midp p2 p4))
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(setq dm (midp pm1 pm2))& u2 z" J, }; x* [# W8 K4 j
(setq intp (inters p1 p3 p2 p4))8 F' ]. h5 r0 H, A
(setq do (inters intp (polar intp (/ Pi 2) 1) pm1 pm2 nil))' i7 Z# e2 a1 F* g- ~
(setq p23 (inters do (polar do (/ pi 2) 1) p2 p3 nil))
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(setq 0.5h (distance do p23))
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(setq b1 (distance do (inters do p23 p1 p2 nil)))
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(if (<= (- b1 0.5h) 1e-6)
3 t; _. v7 c4 r- N
(progn" i$ r' J# ^0 a) J" } `' u
(alert "在这个方向的梯形无解")' \5 a/ t" V! A* L! ?, R/ h+ B2 P
(setvar "cmdecho" oce)) h5 }5 t; ?* P( Y8 [
(setq xxx 17)2 p8 T7 t; K' {, Q
(princ)& `; h0 p4 ^7 |. c: W
)7 Q) V( F' ? p, r- Y3 V) T* q8 ?" y
(progn
, j' }. l% W$ K+ ^! |" v
(setq b2 (distance do (midp p1 p2)))* M8 f/ S0 G$ _. C/ a
(setq b3 (/ (* (sqrt (- (sqr b1) (sqr 0.5h))) b2) b1))6 V) n& J5 }2 l F/ E% h: r. Y
(setq long1 b3 short1 0.5h)
% E0 v6 Q7 E6 H
(if (= 1 xxx)
6 P* U! f3 J: D0 D+ h
(progn ! I. o- _3 q$ I+ z7 ]# ~
(setq long1 0.5h short1 b3)1 C8 d1 U# `- l7 k: | |$ M+ V
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4) do (rot-90 do))7 w' o$ v8 \& p. ]( v$ M
)/ s4 U! d, c- y- M
)
2 _* a; l7 C5 Z2 ^; s+ L2 L
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))
m+ l! X9 }% t+ B/ Z4 J9 Z* k
(progn
& I( c& F5 S7 l. O% ?) k1 h, T
(alert "这个方向的梯形无解")( |1 z/ w" H9 w* L, F0 d
(setvar "cmdecho" oce), q! N. k6 w/ ]7 r2 v+ Y5 e
(setq xxx 18)
( ^, r' J h2 }
(princ)
& ]% }, K: S9 Z0 [* }$ y
)3 N2 }$ B& C3 y
(progn2 T& `/ v$ _. h3 f6 i T: |5 B6 Q
(setvar "osmode" 0)6 n; f+ ^: J% a# O( ? c; t
(command ".ucs" "O" pm) 8 k' ^. K- l5 p3 j3 H3 M* I/ P
(command ".line" p1 p2 p3 p4 "C")
- z$ @+ H" J- h( s+ C& Z
(command ".ellipse" "C" do (polar do 0 long1) (polar do (/ pi 2) short1))
! g3 u0 [4 @5 w* s5 |, ?
(command "ucs" "P")/ u7 R# m/ N6 D3 Z" e, o
(setvar "osmode" oldmode)
# x- u: q, I7 q! \* ?: v
(setvar "cmdecho" oce): y0 u, L9 W+ N, b; Y
(setq xxx 19)
, j* r2 o5 q) }8 i' s& ?3 O; D' ]
(princ)7 U; j; f3 ]# a' A
)
/ r# }$ s1 a5 w- q+ Y8 D+ k( m
)
) c, Y( x7 X9 y2 O, ^. Q* b/ {
)3 W# y0 S) I, b1 \% g, M0 a7 d: }
). t4 I9 G7 }3 P. `$ P$ X6 J T
)' O Y$ ~6 }1 c5 N Z. l2 \
)" e G# y' ?' R5 F
( (and (> (abs (- (ang (inters p1 p3 p2 p4 nil) p1 p2) (/ pi 2))) 1e-8)& a6 }8 y+ K( j
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8))
% k2 W6 a3 A! u8 t, B
(progn
/ _: ?& A1 @9 d+ m- h
(alert "斜筝形在这个方向无解")
5 c4 L* g& _: Z$ R+ g/ o( h/ j
(setvar "cmdecho" oce)
2 A& \' z- K6 E8 G- [1 K; q; H
(setq xxx 19)- A; E- o! X$ {6 Z6 |- X+ ^
(princ)
) M9 N: g# t& Y7 D
)
3 F/ Y: G7 r# F/ n9 K0 A6 C
);;对角线在X,Y轴方向的斜筝形无解/ A# I( l, f( R# M2 D
( (and (or nil (< (abs (cos (angle p2 p4))) 1e-8) (< (abs (cos (angle p1 p3))) 1e-8))
5 s- Q& Q* p0 I
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8))
8 t0 b" e8 Q. u
(progn* ^$ n, y4 i w/ A# e- J
(if (< (abs (cos (angle p1 p3))) 1e-8)
4 t. s' H& {4 s, G5 i3 [
(setq pch (list p1 p2 p3 p4) yyy 425: D3 m; m3 S" c1 O: @( V
p1 (cadr pch) p2 (caddr pch)
8 k( {. P0 n% b4 b( J; g) q5 i/ P
p3 (cadddr pch) p4 (car pch))1 x/ l7 p3 T6 \; ~) F
(princ)' V0 ~7 X' o1 B; }# E
)
* J4 ^1 b2 b+ @( I0 O `* a w/ v
(setq pch (list p1 p2 p3 p4))
7 t+ A, r* u7 {# }3 Y
(setq intp (inters p1 p3 p2 p4))
2 q2 \- b7 |8 I1 f9 h' o
(setq k1 (tank p1 p2))
}9 Y! }9 k( c. c
(setq k2 (tank p3 p2))
9 p! F/ U, h/ J& t3 R
(setq dm '(0 0))
) ^* Q9 z+ K1 A& }- s" P1 L6 v' N
(setq sx1 (inters dm (polar dm (/ Pi 2) 1) p1 p2 nil))3 I0 z# e- {# [* v* K+ E+ ~2 C0 N9 C
(setq sx2 (inters dm (polar dm (/ Pi 2) 1) p3 p2 nil))% }% m! e! Z: ^1 \' ?8 y
(setq b1 (distance dm sx1))+ S. ?- R A3 q) N3 A, A" Z) G
(setq b2 (distance dm sx2))4 d0 }7 l5 P- y# 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")
% N* L& A; Z( Y, k4 K
(setq xx (getdist "\n请输入一段距离: "))
& {& l$ w* s/ g( ~. A$ a
(setq b1 (+ (* k1 xx) b1))

复制代码

wenwengg · 发表于 2010-1-5 10:02

(setq b2 (+ (* k2 xx) b2))- t! v! @3 s* E. }# ~5 e, ^, P
(if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0)3 A! Q' l4 s/ |+ b, m: c
(< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) )3 U! P% L# G' ?7 {
(progn
$ O2 q& g; A) [$ s) b
(setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )+ w- ~+ y! t/ B# O+ v' t5 i' {
(setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) ) ' h- W7 N4 p+ [9 V5 B- d; }. N
(setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) ) `$ h$ N5 C0 U
(setq b1 (+ (* k1 xx) (distance dm sx1)))
8 F) u$ M9 n: R" e; w0 \6 v
(setq b2 (+ (* k2 xx) (distance dm sx2))); j2 I- L& k# A8 G( o5 r' O) L6 i! G' _/ }
)
+ g( ^ D4 S, P. ^
)
, W3 |3 M. Z2 G* b# g
(setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))# M- ?7 Z" c" a/ \4 A
(setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
: J7 B! c- p' d' ?& Y2 [8 J
(setq cen1 (list xx 0))* C& k- D. z1 J& l
(if (or nil (and (< k1 0) (< (car p1) 0))
$ Q1 |8 {, C% O: T3 W* {
(and (> k1 0) (> (car p1) 0)))
5 H( I- @9 ]) C$ x4 I8 P
(setq cen1 (list (- xx) 0)))
8 V! y' J( D$ X9 }/ K6 v
(if (= 1 xxx)
8 @, V! Y) v: s, y2 Q
(progn
4 d/ q# {' C$ q4 v, _; h6 {
(setq cen1 (rot-90 cen1))
. A( Q# r5 P6 c$ m9 ^7 }
(setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
' g% ^* B" Y. I* w9 o
(setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
! D, A+ L6 r* g( J
(setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))6 d4 J3 j, S3 E+ o7 s1 n. A; v9 j, f
p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))
. } z) R/ [/ O$ g7 {
)$ x7 i: I( E2 b5 ~
)" Z; g' d6 u0 g8 W0 I- K: P7 y
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))
v$ f" |# S6 @! K
(progn7 Z0 J/ ~8 p# S. M
(alert "你输入的距离不合适!")
# B) e: X% ^0 j4 M* ]
(setvar "cmdecho" oce)* K5 w! u: q, n' N X
(setq xxx 18) u; W' Q3 O$ L% d4 }' X/ h; a, ^
(princ)
# ?8 V$ m' r0 \) q
); ] Q* u+ x! m1 _9 D
(progn$ i5 N4 z% O2 d3 c4 S5 D H- W
(setvar "osmode" 0)
3 G4 q/ s$ \0 M* u1 t
(command ".ucs" "O" pm)6 }: L! @# u' `2 ~, l' m' R
(command ".line" p1 p2 p3 p4 "C")
1 m0 w; @0 D! g! x5 _
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))
- b, Z# F6 J* D, B
(setvar "osmode" oldmode)
" Z9 L" M4 Q h1 _
(setvar "cmdecho" oce)
) j% |) ?% s; Y0 ]/ A- I2 B. H
(princ)7 K3 s P+ {4 o$ o/ s+ |
)
7 x- Y2 K9 n0 u4 s; C! Z
)' N6 J8 m" ~* g; o
)) ; N. U5 ?2 a. j/ `9 K8 W
(t (progn
/ n9 }/ o9 U3 \1 w( n/ U
;;计算直线截距和斜率------------------ S' p+ I3 {$ l3 A
(setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))
/ k+ _/ h$ T" q V2 }
(setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))0 c9 A8 P* e/ |% h2 ]* F& }4 n6 i
(setq b3 (/ (det2 p3 p4) (- (car p3) (car p4))))
* ^8 X) u& \8 }* c) b- J( y
(setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )
/ @5 w. u, m' L) k6 V9 P& K& E& c
;;定义求解椭圆长短轴线函数------------
6 ?1 d7 K6 e. ?+ m
(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)
& k. o* x- x ?- m5 A
;;(defun solvef (k1 k2 k3 k b1 b2 b3): v8 i' U/ l3 T/ x
(setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k))/ V) n5 F5 P2 R% Y; H! J3 q) |& {2 n
(setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))
8 m; C& w. \1 t7 ` _. B6 ~$ L. H
(- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))
+ r7 d# {- B7 X( k# j7 a
(- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2)))), j7 ]1 H$ f8 R
(if (< (abs a) 1e-8) (setq a 0) (princ))
3 r S; B# I1 x$ B+ |( C9 g; b
(setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))
) C& `! A0 R) U+ ~$ g
(* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))1 S. z$ y3 X/ @# k' [6 B( o( k
(* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2)))). t5 `& M3 L# y5 Z! }
(if (< (abs b) 1e-8) (setq b 0) (princ))7 P% y, V4 A$ O8 c
(setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))
r0 U. C2 }8 ^& ~ Y* T# i( e
(- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))/ `; K9 z( s2 @( d4 f n+ S) O" [
(- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1))))
7 O q: Z% e4 T1 a9 M
(if (< (abs c) 1e-8) (setq c 0) (princ))
$ O0 w, X2 H E1 z
(setq g1 (roots a b c) g2 (cadr g1) g1 (car g1))+ C" d- P' U5 j4 C0 M2 @
(setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))8 r2 Z0 m& v1 Q3 ]: ?
s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3))) 6 w" ~$ l6 y% P6 V; h* j
(defun solvex (k1 k2 k3 s1 s2 s3)" b+ E7 H2 H$ ^. o
(cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
% x+ K0 W) m* N- R9 D: n
((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) )
+ ?, `4 m8 j" x6 t4 D
((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) )
# P5 T: `5 e- q3 Y7 Z1 a
(t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )5 _5 A3 W7 J' l( T! {4 D4 u
)
: M- V* F; j9 e4 d9 b5 t8 j3 g. L
) H5 f1 Q. |) |7 U6 I. v
(setq sx1 (solvex k1 k2 k3 s11 s12 s13))) U) C6 t0 ^- O4 R' N. q! |) E
(setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))
% ^- @0 ~- P5 i. ? V: u* B
(setq sx2 (solvex k1 k2 k3 s21 s22 s23))! s. H5 w+ c! x" F) W9 `7 }7 Z% u
(setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2)))))7 A0 _; T6 {6 h i& E$ c Z5 v! j
(list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2))
: L: [! H$ c6 t/ L) L' @' m
)
0 K( \$ j% n q, u; ~
;;计算椭圆的长短轴和中心--
5 E, G1 C! g$ c
(setq so (solvef k1 k2 k3 k b1 b2 b3))( Q- A% c- u8 E9 c& w
(setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so)))# X9 k" o0 @9 z3 W+ @2 P+ V
(setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so)))
/ K" x. h' Z6 [/ o6 [4 x: v
(if (= 1 xxx)) ]! f; g" I% j+ Y ^6 P
(progn
% P* \$ r2 f# a" S
(setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so))). O4 o9 C! u3 Z5 {0 S
(setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so))). } R6 W0 G$ |" _; B
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4)): o6 ?" B4 A$ c! Z" q# ], o9 E
)# `5 G, L a- q j: E* a, U3 Q- C
)
4 ~. s% z N5 f) x: E
;;判断中心点是否在四边形内8 ?5 k& f3 h, j3 l& a
;;并且判断所求是否满足要求
" U j! H) T) X' Z+ V `
(if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5))) l1 N2 |- A/ a, N- J
(or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2)))
+ y2 K" G( U! P) n
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
' i* M7 i3 g; H3 i9 _/ \
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
u7 S2 L" c+ k3 \9 m1 Y
(setq xxx 2)/ |. w7 \' c, i' R- x
(setq cen1 cen2 long1 long2 short1 short2 xxx 3)# y/ n5 z: Z" e+ z% d' ^
)6 D4 Z/ X6 N1 O M+ R3 _" v+ S
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
3 ^) j' z/ m f5 M" R) q
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
, X: |1 i1 L5 \' E+ I: h
(setq cen2 cen1 long2 long1 short2 short1 xxx 4)1 t; L$ B( a- T; x
(setq xxx 5)
+ g! n0 S! u/ [3 [7 [
) 3 n. B% S5 ?' Y3 }+ p! z
)
1 F; J& |% i7 T0 p& p7 T$ X
;;画椭圆------------------
* o/ H1 z$ y9 m4 n# r! r
(setvar "osmode" 0)8 R/ W0 r5 y7 ]! m
(command ".ucs" "O" pm), W" a8 o0 N, P
(cond ((= xxx 2)
! N: ^4 E/ E ~, o: v; `" d: y
(progn( `, C( g' V/ r! q5 C
(command ".line" p1 p2 p3 p4 "C") , d9 }* C& d) @* R* O
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
3 k% I6 Q. u! J4 ^7 }( S* W6 X
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
# L" h- l0 b. E$ w8 E/ G& B' L
))
# J+ P- K1 K8 U0 O
((= xxx 3)
. A: \2 l3 {+ S j7 @
(progn% c9 I2 n6 c3 t6 ~) C
(command ".line" p1 p2 p3 p4 "C")
; F+ I, [5 d4 \6 k
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))( O) [8 R4 B7 C! K: B$ r
))! M3 u% \& q% B" L8 S; g
((= xxx 4)
2 [/ K4 K" N( o) t
(progn+ ?5 @3 i, U' |" l- R
(command ".line" p1 p2 p3 p4 "C") . |6 o# M' ~8 n: h. I. Q
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
7 Z2 \' b* V; F$ P
))) I: N% z, i! X
((= xxx 5)5 a* ^1 r: i1 q( _9 O2 P
(progn
2 L, v% o3 p- H' a' U2 c
(alert "椭圆轴长或比率太少,无解")$ o8 F1 |3 I; i* C% G
(princ)
% J1 N P6 G4 M+ x' z8 d" y
))$ ?! K, F4 n" Q1 {6 }
)
- e& |. k% i- d, w
(command "ucs" "P")- c& V h; b. D1 ]! x. y1 P' X
(setvar "osmode" oldmode)
" P5 t! U* I i% F Y8 l3 H$ `: a
(setvar "cmdecho" oce)
7 a2 F5 A% r, W
(princ)
! V1 S1 T* o W$ r: N2 _9 @# a" ^
)7 h0 c. k" a& c
). s9 E: ?' l9 G* }1 F
)
" l2 ^8 Q! Y; i! H1 t- f
). a3 R* S1 s% O- ~" a+ u% l* r
)% F( [% F$ O* y# O; ~6 p
)
! A) s1 ]) e' d8 C
)
0 x Q4 Z6 |4 `9 W- V+ o+ \
)% Z, o* n e5 I9 Q: k
)

复制代码

消失的部落 · 发表于 2010-1-5 11:07

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