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" $$mpt_osmode)
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(vlr-remove $$mptReactor)$ z& Z% W: v! G J0 |8 `9 s
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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))1 o1 u- E; ?* ^+ H$ D
(setq my (/ (+ (cadr b) (cadr a)) 2.0))
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(setq mz (/ (+ (caddr b) (caddr a)) 2.0))9 N# G7 C4 v$ N% l$ j; G$ h# S
(setq $$mpt_osmode (getvar "osmode"))
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(setvar "osmode" 0)4 v v3 M; Q& S( g
(setq $$mptReactor (vlr-lisp-reactor data '((:vlr-lispEnded . recover_snap))))
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(setq pt (list mx my mz))0 M0 U: {3 R! b; l
)
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;;******************************************************
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;;预定义一些函数. X8 d3 L2 W+ r, r9 v& h2 X( {
;;定义平方函数
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(defun sqr (x)
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(* x x)+ h% [6 A R* U+ k, B9 F/ R3 B8 }
)
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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))9 t+ [; m2 [0 i$ I, n% F' L
(if (/= a 0)
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(progn& s, u5 _3 I* [ a2 T
(setq t1 (- (* b b) (* 4 a c)))
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(if (>= t1 0.0)# ^3 f: h* f; d: K% v
(progn
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(setq t2 (sqrt t1))
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(setq x1 (/ (- t2 b) (* 2 a)))3 R% }1 N" r% e7 B6 ^* \/ O
(setq x2 (/ (- 0.0 t2 b) (* 2 a)))0 L( W% \. L5 b
(list x1 x2)
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)
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(progn: P4 N/ G2 T7 x3 T9 \: o
(alert "\n根是复数.")
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(setvar "cmdecho" oce)
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(quit)
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(progn/ p8 L( g2 }, X' C$ S/ J) ^/ p3 |: u! [
(if (/= b 0)! o/ g) Y a1 w. Z; u8 z W
(setq x1 (list (/ (- c) b) (/ (- c) b)))
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(progn
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(if (/= c 0) {* ^0 ?( k/ w
(progn
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(alert "\n无解")) v2 I9 `) y% V9 q# E6 Y
(setvar "cmdecho" oce)
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(quit)
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)
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(progn/ f4 b9 r, C- n; }2 H- N
(princ "\n无穷多个解")1 Y8 o1 k7 H) b9 Y# l
(list 0.0 1.0), w) N) i. B$ q
)
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)
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)
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)
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;;;************************************* g9 L* s% H( X: A( _3 f
;;;取点,并进行座标转换以及判断和坐标交换% i5 a. s! O6 E6 e% b( u# z
(defun C:aaa (/ p1 p2 p3 p4 pch pm dm pm1 pm2 k1 k2 k3 k b1 b2 b3 oldmode oce xxx yyy zzz( v% h Q1 O7 C$ Y: a, Q5 r0 A* R
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)( h' E8 K7 o% |4 c
(setq oldmode (getvar "osmode"))) y& ~2 f8 S/ R8 }( @
(setq oce (getvar "cmdecho"))2 Z3 f% j9 g4 x2 L1 {% o
(setvar "cmdecho" 0), _, m1 x- A/ H
(VL-LOAD-COM) P) r. T& p" T& F# L! f
(setq AcadObject (vlax-get-acad-object)' Q1 }9 s* ^! d% g
AcadDocument (vla-get-ActiveDocument Acadobject)4 r0 X5 m! j0 ^* s. {
mSpace (vla-get-ModelSpace Acaddocument)
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;;取点,并进行座标转换-----------------: D7 ^- _+ F- u
(setq p1 (getpoint "请输入第一点:\n"))# U; ^0 B6 C; d- Q6 ^
(setq p2 (getpoint "请输入第二点:\n"))
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(setq p3 (getpoint "请输入第三点:\n")) T! M$ V2 ]/ Z) M4 p. X
(setq p4 (getpoint "请输入第四点:\n"))* }' M9 a% Z9 I
;;car: Returns the first element of a list
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;;cadr:Returns the second element of a list% T. Z, s" R- c/ t0 w+ {; F
(setq p1 (list (car p1) (cadr p1)))( t* b% b( k) c' }' M
(setq p2 (list (car p2) (cadr p2)))9 d( S: f; N& ?
(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-----
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(defun det2 (p1 p2)
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(- (* (car p1) (cadr p2)) (* (car p2) (cadr p1)))6 T, X7 }4 }5 @5 v3 S
)
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;;定义三点的行列式,即三点之倍面积-----& L* X( @) S# n5 }: }( Q( a \$ B& W
(defun det (p1 p2 p3)7 y) b+ E) V7 x% v# U3 |
(+ (det2 p1 p2) (det2 p2 p3) (det2 p3 p1)) \0 z# w( ~& J5 h; g
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;;定义没有方向的夹角------------------4 A3 i9 j/ k3 w4 b2 f0 v- a
(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)* x" k9 r, |' \- o# s- V% a
(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)( c- j7 ]+ f, C* \
(setq x (- (* 2 pi) (+ (ang p1 p2 p3) (ang p1 p3 p4) (ang p1 p4 p2)))). W. b3 v, ?1 o8 V8 X5 j
(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)))/ b8 y5 F4 ?4 S" ]
(progn (alert "有三点在同一条直线上\n请重新输入") (setvar "cmdecho" oce) (princ)))+ ~' f) U. P6 K5 S( C1 Z5 d
( (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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(progn5 a' ?7 p) C0 L
;;判断3、4点是否在同一边，否则交换2、3
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(defun same (p1 p2 p3 p4)3 d! B( c- n6 X& s
(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))! M5 e, ?, j! u# J: J
(setq p2 (car pch) p3 (cadr pch))# a% o6 n0 ]2 f4 h! [% }! T
(setq pch (same p1 p4 p3 p2))
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(setq p4 (car pch) p3 (cadr pch))) u5 p# O5 D+ ]$ ?8 _6 \
;;取中点为原点------------------------8 K# \4 z, C' ]- ~3 u0 c9 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------------------------
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(defun tank (p1 p2) ^( f& P5 ~0 F% d3 K8 N: {
(/ (- (cadr p1) (cadr p2)) (- (car p1) (car p2))))% [* K7 R- t8 b9 N$ R+ A- U6 U
;;定义旋转90度函数--------------------* q& w1 P- g+ `- K, G; F
(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----------------
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(setq dm (distance (midp p1 p3) (midp p2 p4)))2 i4 Q# [" G; }3 v/ @
(if (< dm 1e-8)
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(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)))
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(progn# F) f3 [! M' T$ e H
(princ "这是一个平行xy轴线的长方形")
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(setvar "osmode" 0)) Z; q: \" Z T, r: `+ Z/ a# K
(command ".ucs" "O" pm)
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(command ".line" p1 p2 p3 p4 "C")! T# p! Z$ t/ i& k
(command ".ellipse" "C" '(0 0) (midp p1 p2) (midp p1 p4))
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(command "ucs" "P")8 f c- f" k# R r, j. q
(setvar "osmode" oldmode)6 i" Y& }1 m: i/ R1 ]
(setvar "cmdecho" oce)% Q% L _. a+ F
(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))! v3 {# O. a6 H# u) k- J" t1 ~
(setq p1 (rot90 p1) p2 (rot90 p2) p3 (rot90 p3) p4 (rot90 p4) yyy 1)% [4 ? ^$ k1 t, B& z7 F
(setq yyy 0)
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)
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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))/ H" }6 M7 k. g. \8 Z# 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)/ f2 V W: O' M
(< (abs (* (sin (angle p1 p3)) (sin (angle p2 p4)) ) ) 1e-8))# |- S9 [$ l! P( y4 ?
(progn
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(if (< (abs (sin (angle p1 p3))) 1e-8) (setq zzz 1) (setq zzz 0))/ v! f+ D; v: G6 K3 r' ], z; H9 d, ?
(if (< (distance p1 p3) (distance p2 p4))& I9 f0 L; |' ^4 W2 M
(setq rmin (/ (distance p1 p3) 2) rmax (/ (distance p2 p4) 2) xxx 0)! v# V+ y) i7 x+ C# {& O2 F
(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")9 y P9 \! [ H. ?7 H5 T
(setq short1 (getdist "\n请输入一个距离:"))6 Z9 J. O/ P1 v- P0 b+ }& [
(if (<= (- (sqr rmin) (sqr short1)) 1e-4)
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(setq short1 (/ rmin 2))). U$ c( l) [+ }+ p
(setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) )
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(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) )4 m2 z4 v2 Q# d) {( Z0 A
(setvar "osmode" 0)8 i L9 G9 \7 V" D9 F
(command ".ucs" "O" pm)8 n$ F: i% L5 y8 n
(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)). F$ J, D* T0 U5 D( y2 f% d$ c" c
(command ".ellipse" "C" '(0 0) (polar '(0 0) 0 short1) (polar '(0 0) (/ pi 2) long1))
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(setvar "osmode" oldmode)5 H- l" c5 j/ O% e( x) `
(setvar "cmdecho" oce)) ]" c3 u3 x4 y# y
(princ)
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);;判断是不是平行xy轴线的菱形---' T1 h. F E0 u6 `: s% d+ a4 e9 w; R
(progn: |) d+ ]3 z: V) ?. K
(setq yy (/ (- (* (sqr k1) (sqr b2)) (* (sqr b1) (sqr k2)) ) kk ) )0 C. m- B. B( ^) E: m
(if (or nil (< (/ kk bb) 0) (< yy 0))6 s& l! N8 s8 r; }. o, e: p
(progn (alert "平行四边形在这个方向无解") (setvar "cmdecho" oce) (princ))6 \ W8 P) b7 T# O
(progn
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(if (= yyy 1)/ v: x5 Z2 P% R
(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))* E% l4 w9 g& t. ~ ~
(setq long1 (sqrt (/ bb kk)) short1 (sqrt yy))$ k$ o8 N6 o: J7 U) R7 N
)
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(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) V: G. x9 ?5 L* r! Z
(command ".line" p1 p2 p3 p4 "C")9 }7 A1 W* Q8 e) ]4 j1 p2 f2 n
(command ".ellipse" "C" '(0 0) (polar '(0 0) 0 long1) (polar '(0 0) (/ pi 2) short1))- j4 N2 t$ P; S0 g- K
(command "ucs" "P")
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(setvar "osmode" oldmode)
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(setvar "cmdecho" oce)$ g# Y( D T/ X+ S5 G
(princ)- e$ `+ K# j* S8 m2 j. u2 F8 s
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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

(progn9 K+ I( C" X' Z: C
;;定义旋转90度函数--------------------8 P' m9 `# k; ~6 P1 H
(setq pm1 (midp p1 p3) pm2 (midp p2 p4))$ C6 r2 U! ]2 N7 y& l
(if (< (abs (cos (angle pm1 pm2))) 1e-8)$ R/ [9 @& V3 J% C: F
(setq p1 (rot90 p1) p2 (rot90 p2) p3 (rot90 p3) p4 (rot90 p4) xxx 1)# M1 q2 J, m, Y
(setq xxx 0) r& i6 C8 B+ b0 c6 c* {
)# M7 Z1 [. ?; _. \. J1 }& i
;;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))2 \7 y0 I1 r: f& S: G: J
((< (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))
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(t (list p1 p2 p3 p4)) ) )
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;;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)$ ~+ t, U4 W, `1 \. l
(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----------------------) w, _5 F6 j1 g3 s8 }" {, T
(cond ((and (< (abs (sin (- (angle p1 p4) (angle p2 p3)))) 1e-8)
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(< (abs (sin (angle p1 p4))) 1e-8))3 k4 g" v I" B& q0 E9 R2 K0 c6 A
(progn ) i- w9 N. M; j
(setq pm1 (midp p1 p3) pm2 (midp p2 p4))
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(setq dm (midp pm1 pm2))9 E: r! k1 [: d) ]% H) I& t
(setq intp (inters p1 p3 p2 p4))! W; I. X v! \
(setq do (inters intp (polar intp (/ Pi 2) 1) pm1 pm2 nil))
4 k3 k, g* u" D& w
(setq p23 (inters do (polar do (/ pi 2) 1) p2 p3 nil))8 i S/ o% I( z( ^# I
(setq 0.5h (distance do p23))) U' y. C+ I# f! b- T1 I) G
(setq b1 (distance do (inters do p23 p1 p2 nil)))# B& @; V" i5 s
(if (<= (- b1 0.5h) 1e-6), R4 [, I1 Q" i
(progn5 w; X1 V* R( ]) Q: h* d7 e2 U
(alert "在这个方向的梯形无解")
, Y' }1 W% E/ z3 ]0 f! Z8 G* a
(setvar "cmdecho" oce)
- ]5 E6 e) N5 X! [3 y r# P( ~
(setq xxx 17)
' ]/ x0 ~7 l- b% d9 [& W) V! V
(princ)0 H- l x' u* H4 M9 V
)
" J+ J$ |5 v% U& E7 S" D; F
(progn
7 ~, ?! t5 r1 A% ^. z/ S$ P
(setq b2 (distance do (midp p1 p2)))+ V8 M& V2 D/ H; d. M
(setq b3 (/ (* (sqrt (- (sqr b1) (sqr 0.5h))) b2) b1)), L* f G- M8 f7 j& i, X; s3 F
(setq long1 b3 short1 0.5h)0 ?1 J) u; P% @+ x
(if (= 1 xxx)
u5 p! w1 c3 O0 X
(progn + ]4 L* @) n- j2 W$ N
(setq long1 0.5h short1 b3)- o. M0 E0 H8 k9 r, d
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4) do (rot-90 do))) l e _8 }( b' b8 O
)
+ B) d5 |* \- G( a \& e7 H
)8 @1 `7 v' I) U. K; j) d$ R6 A
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5)), y7 o( M% l$ ?. B4 v s) g s! L
(progn
; u, [4 \: u5 }2 G$ i! j6 t
(alert "这个方向的梯形无解")
, e$ y, h' e, ^( z, \, Y% j& B
(setvar "cmdecho" oce)! g0 `! T$ x p/ |
(setq xxx 18)
6 v7 A! w' r) a/ b, c6 b
(princ)4 W; M3 e. Q6 `+ f. R
)( T( V/ \6 l0 H9 H: w5 \
(progn0 I S# E4 I4 C
(setvar "osmode" 0)& y" Z( q2 l! b" B
(command ".ucs" "O" pm)
9 v$ O" R% g' p, v
(command ".line" p1 p2 p3 p4 "C") * W% C7 I% k& O4 j
(command ".ellipse" "C" do (polar do 0 long1) (polar do (/ pi 2) short1))) \0 }% ?9 n4 \/ }7 [( T
(command "ucs" "P")
7 E, X" _" M( k* a1 n* e8 n
(setvar "osmode" oldmode)
& b9 z v/ F, y! A# Q
(setvar "cmdecho" oce)
& S7 d# X0 e7 V$ \9 }
(setq xxx 19)" U4 X! U; P0 @0 @
(princ)' R4 G- J% N$ M. n! c( G+ O0 | B
)
- b5 {" ?( g1 `/ L; B" P
); }" N; n* Q( Z% p& [( |
)
2 M9 @* \1 ]# o
)
- V) t) y5 J0 y9 f+ L
)
; n) R: W3 P P$ }3 l6 U+ r( h
)& P0 N1 Q+ ?& l1 B! x0 ?
( (and (> (abs (- (ang (inters p1 p3 p2 p4 nil) p1 p2) (/ pi 2))) 1e-8)
I" O# A9 `' g. V' u" Z! [& I
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8)), |3 d% o, P. u7 O
(progn
3 P+ }6 D. x' i* j/ ?2 L
(alert "斜筝形在这个方向无解")
0 g; y; ?! ^- A" U# G' ^7 V$ k( K% S
(setvar "cmdecho" oce)
6 a2 V6 H- ^4 u: s" f; L
(setq xxx 19)
b, P5 i/ h' J4 O
(princ)
- A8 U; ?* _) q( x7 z7 H" F
)
- S1 Z) v% I" @7 y* w
);;对角线在X,Y轴方向的斜筝形无解" V2 F! R/ l2 Q+ @3 T( ~9 N4 K
( (and (or nil (< (abs (cos (angle p2 p4))) 1e-8) (< (abs (cos (angle p1 p3))) 1e-8))) O8 F' ~1 @- I- s) b: u* r( l
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8))
4 `2 k: l" z9 n W8 ~# ?& d
(progn
+ V8 Y, M C# z1 y- f
(if (< (abs (cos (angle p1 p3))) 1e-8)
3 z/ V% b& O0 r8 ?
(setq pch (list p1 p2 p3 p4) yyy 425# @& r/ T" M C C, b0 L" ^
p1 (cadr pch) p2 (caddr pch) m* N# V5 `; s8 U# d
p3 (cadddr pch) p4 (car pch))
! p" O g% M7 U* a' x' h( g
(princ)
: l4 C2 v% J& A4 d% L5 `% O
)
1 @- D, c1 G+ x! z+ n% O
(setq pch (list p1 p2 p3 p4))2 i6 z$ ?0 s5 [ T0 E. z
(setq intp (inters p1 p3 p2 p4))+ W$ f f) E# V
(setq k1 (tank p1 p2))2 v3 }0 P c: ~1 m9 [
(setq k2 (tank p3 p2))8 c `) P8 Y# l6 @
(setq dm '(0 0))
7 U5 A( y. q- i% F$ i2 T
(setq sx1 (inters dm (polar dm (/ Pi 2) 1) p1 p2 nil))% C6 M) q( z; I+ X
(setq sx2 (inters dm (polar dm (/ Pi 2) 1) p3 p2 nil))2 _+ v- n# P$ x C1 O0 `# _
(setq b1 (distance dm sx1))- R6 y# y" v: L
(setq b2 (distance dm sx2))
+ H9 ] H8 A9 R
(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")! @( X4 |4 }6 N2 I
(setq xx (getdist "\n请输入一段距离: "))1 y, s# [9 l; S; s: z
(setq b1 (+ (* k1 xx) b1))

复制代码

wenwengg · 发表于 2010-1-5 10:02

(setq b2 (+ (* k2 xx) b2))- Z' L8 R, I4 O L
(if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0)
) L) T0 ]0 J+ [/ ^' K; V$ x
(< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) )! C& l* Z1 Y7 l# l" K- Y
(progn6 s+ T8 J3 R" K Y* N
(setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) ); W9 t- I& B h) l5 C; x7 t9 Y. Y
(setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) )
/ Y) O. u4 K% a: C. g8 E
(setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )0 o2 o8 [$ ~ E% a
(setq b1 (+ (* k1 xx) (distance dm sx1)))
& u- C' ~. U; p- M# Z
(setq b2 (+ (* k2 xx) (distance dm sx2)))- `, y) F) I( ~/ _4 r3 a
)
2 A2 N6 w9 E4 u, B ]
)
1 H* ]: m/ `5 E
(setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
* z r+ b) d) Y {
(setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))$ R4 U9 S8 e9 C7 W1 ^9 P* S
(setq cen1 (list xx 0))
0 \4 O+ K. o9 N" q! E1 x/ Q
(if (or nil (and (< k1 0) (< (car p1) 0))
, k6 j' T! R* ~# _9 }: U$ ^- |# Q
(and (> k1 0) (> (car p1) 0)))
, ~9 u# G4 }+ g' ^) i1 P
(setq cen1 (list (- xx) 0)))
0 |" r" M9 v6 I3 L2 M) L
(if (= 1 xxx)
0 |4 f' |- c& {/ G
(progn
+ [* H* y5 ]' a* g& C* O1 y
(setq cen1 (rot-90 cen1))% a" B) w7 o( J8 S5 W8 j
(setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))8 a6 M e/ q: d, z
(setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))) u0 i9 a+ G* }" \1 r
(setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))
% x: @8 Y- p6 y6 I+ |
p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))6 Y" U; v# w0 ]
)
$ p" g8 @/ o, r8 P
)
- S! z$ |+ J1 \) ` \
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))
$ U1 @' o2 s3 `$ D& R2 e1 \/ s2 d: M/ P
(progn/ G0 l# J, h" Z
(alert "你输入的距离不合适!")
" k) ?+ v9 H. g4 ]5 n7 O/ z: U
(setvar "cmdecho" oce)7 ]# ~" b- A9 A0 e$ _5 L! B
(setq xxx 18)# Z; @. t# f" J/ ?( T' z$ Y, V/ u- S1 x
(princ)
0 `7 d& p3 w4 e6 M( J: Z
)
0 T3 G9 y5 D. H& z# N+ B. S! _ q
(progn! m5 w& v% \6 Y; x
(setvar "osmode" 0)
9 G% _# X& R2 K( c
(command ".ucs" "O" pm)
# W! t* G8 c- y6 @5 w) ?
(command ".line" p1 p2 p3 p4 "C")
0 `/ Q o/ m2 ^ H9 H
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))* C8 V; B9 j; h* [
(setvar "osmode" oldmode)
- l- i' n9 x# z, K8 J- x; L$ Z; x
(setvar "cmdecho" oce), J% f j) E- t- O- [
(princ)
# P3 _$ b% u0 G& C' z: K
)4 y& Z% S8 p7 v
)
7 \ F. J) O9 N
)) 7 x9 a8 t0 C; g# p' V
(t (progn: L* ^6 ]4 f1 W4 I9 o+ `8 V
;;计算直线截距和斜率------------------+ Z ^9 t& h, R* B
(setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))& I X9 e1 C) _( j+ {
(setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))/ I7 }; T( X/ h7 |- Z5 ^ t* n u
(setq b3 (/ (det2 p3 p4) (- (car p3) (car p4))))
4 ?) |" K! M, `8 k d* Y5 j
(setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )
; L1 ]1 N6 f5 t
;;定义求解椭圆长短轴线函数------------
, \) v, I T# w, u$ o* Y$ k
(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)5 d( R. k; V/ N6 g# `0 ~2 g! `
;;(defun solvef (k1 k2 k3 k b1 b2 b3)
4 y' j* L1 W4 H. b) n! t' e0 ` H
(setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k))
( |1 h, g" D& [
(setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))" N! [- y e$ I6 r Z% }
(- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))6 Q I; G8 D ~# l
(- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2))))4 X* ^, _% k, v
(if (< (abs a) 1e-8) (setq a 0) (princ))0 R, F( e Y& p0 D8 H5 D( }- M
(setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))8 ~9 W! E/ [" l7 `. ]* X
(* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))4 e5 V8 N% H( R" g2 y/ c
(* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2))))
4 v! j& V9 b7 m$ k& f' x, M
(if (< (abs b) 1e-8) (setq b 0) (princ))1 G: {' U' e7 ~- v7 c2 X8 @4 @
(setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))0 q+ r! H0 W" F. f( V- P$ E$ z, y
(- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))' K; Q% N( m9 F; | v4 w" v
(- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1))))! g" B5 c; \( l/ u: A
(if (< (abs c) 1e-8) (setq c 0) (princ))
( k) W9 w/ c6 S1 ]
(setq g1 (roots a b c) g2 (cadr g1) g1 (car g1))
) i) Q/ K+ {3 M' T( Z/ B8 i R. Q" S
(setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))' |( s! B' \% C) ]0 ^7 ~1 Q
s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3)))
' F% a1 q( G6 _$ r* e7 T) e
(defun solvex (k1 k2 k3 s1 s2 s3)0 N& {8 d0 D- Q5 I0 s( b9 q* @
(cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )8 d$ |( o( C) l4 t
((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) )
% w" y3 J r4 h, k, l
((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) )
) ^$ v& I/ J6 b, @
(t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
: D# X' J2 D. \) X! _2 n
) , M; e, B A! `. E
)
9 W# V' W, K8 `: n# B5 z+ @
(setq sx1 (solvex k1 k2 k3 s11 s12 s13))2 W1 B2 w9 n* R* G/ M
(setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))
; Z9 s! _3 P j8 J' ]
(setq sx2 (solvex k1 k2 k3 s21 s22 s23))
" W- f8 j4 ^. u8 ~- Z
(setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2)))))
$ b3 z* h5 e# n$ e
(list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2))
9 I) p' X. x& P; H6 b0 s+ B' L! B
)
# Y6 s4 Z6 c, |( g6 g
;;计算椭圆的长短轴和中心--
& e4 Q) _; @/ c9 K' N' W X
(setq so (solvef k1 k2 k3 k b1 b2 b3))8 I" b8 U' ]8 G& \6 K& i
(setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so)))
& j: w4 ^9 q+ L- m! b
(setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so)))+ }, G5 i! e9 v
(if (= 1 xxx)
$ V7 O$ M+ \; |9 d4 ~8 v
(progn
6 c k1 [$ g" Y
(setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so)))
1 R6 g1 z* z0 G, y1 J% q
(setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so)))/ D6 n, ?% K |9 _. a. Z: f! i+ T
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))
7 i6 _; B. H' y O. L* y) R
)& ^* Q1 ?! Q" Z4 d3 K+ o
)
+ ]$ F, L* w, ?7 _
;;判断中心点是否在四边形内4 v5 Q" {/ D4 r; q
;;并且判断所求是否满足要求
) P N& d8 }- |- g* O7 w. B
(if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5))$ v# }1 j5 x: h, K7 }
(or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2)))
. r& C& I/ J% B7 D7 k" O7 ?& j0 W' F
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))* X- n/ @" c% D9 I, X5 k
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))5 o, n, k X; n
(setq xxx 2)/ z+ K$ R ~7 k+ U
(setq cen1 cen2 long1 long2 short1 short2 xxx 3)
. l, A/ w% h2 Z H6 w) S! s8 m
)* p; N: q! H$ ^( b) w1 R
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
7 j$ }; U) S. f' T) n% e$ x
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
2 L, V6 ]( w9 y
(setq cen2 cen1 long2 long1 short2 short1 xxx 4)
. D% `* {/ `1 q+ E f$ j
(setq xxx 5)
" i4 q; t4 d) p; ~9 ^
)
, F$ U. `! {' z i8 o# G
)
Q* U: i n9 \4 N/ i& K. Z
;;画椭圆------------------( \+ Q! r& q9 ^3 ~+ l
(setvar "osmode" 0)
' X2 S4 K; o% ?: D* |6 m
(command ".ucs" "O" pm)/ T0 u! K2 d) l& W
(cond ((= xxx 2). W5 T: }7 [3 {
(progn" J4 [8 o9 Z9 p1 ~; |( [; p
(command ".line" p1 p2 p3 p4 "C")
0 |1 f; J4 L: j2 r: B5 y' @
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
O7 u: H1 C# ^: }; d" W
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
( Y6 v- _1 J) ?$ U6 X
)); b$ y! s G6 O7 o, _1 R
((= xxx 3)
, i% b6 e7 b- b* N7 n& V1 ^
(progn
1 J. h! R# k& Q4 }
(command ".line" p1 p2 p3 p4 "C") , e1 n. `0 Y: D+ ~. E$ w. M
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))/ {8 V* ~/ V8 Y
))$ E; f7 H9 ^ p5 {- ^6 l
((= xxx 4)! S4 _& J" @* \
(progn9 w3 U. m' O3 _/ V
(command ".line" p1 p2 p3 p4 "C")
" \) e- o$ G: j Q1 B) ^- x
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
" ^2 h! M n' N8 _! Z
))$ _* `1 f S- y$ G# g0 ]) j
((= xxx 5)
8 t; j2 @# l3 Y6 K! Q" W2 u
(progn; v T* v% E1 G) \2 w0 E
(alert "椭圆轴长或比率太少,无解")
0 O$ c2 X: [( V5 c, v
(princ)9 a c3 [# b$ [# K3 o! r
))- C. M8 S3 S; n3 y% E7 U
)
0 {1 ^* S* p) q
(command "ucs" "P"): s7 Q' ]5 Z. l0 P% Y& W
(setvar "osmode" oldmode)
, ]/ k$ B) D; W9 m: m" l+ c
(setvar "cmdecho" oce)2 a+ J, k; W Q: ?1 d; z
(princ)
0 C) O& |5 r1 Y5 J* t/ L
)
- [3 X5 G+ i3 Z7 H8 { Y2 |
)
1 ~8 }+ Q/ q- ~+ H1 c
) * Y2 N6 Y+ d" Q6 J
)
# n& t+ L. f1 _+ s4 q4 f
)' M. `) r' T0 g+ x$ o
)
2 }9 H F: N) s9 I1 m# \% D4 U8 P, v
), O1 T4 V' K$ E' o
)- ~- F3 i7 w, {$ j8 w, `' j
)

复制代码

消失的部落 · 发表于 2010-1-5 11:07

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