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 / ) \7 N( z7 S: n2 v, K/ D, [3 t
(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 : "))))
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(while (not (setq b (getpoint a "\nSecond Point: "))))! H6 k- p2 |) F4 F
(setq mx (/ (+ (car b) (car a)) 2.0))* D6 }* X- Z& P6 V: i: X: x* ]
(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 $$mpt_osmode (getvar "osmode"))' q' ]) e( ^- P1 e/ o
(setvar "osmode" 0)' [2 s- j) y4 `
(setq $$mptReactor (vlr-lisp-reactor data '((:vlr-lispEnded . recover_snap))))
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(setq pt (list mx my mz))) I0 B+ f$ g- e" A
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;;******************************************************& b) H: t# k G/ m; B$ Y
;;预定义一些函数
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;;定义平方函数7 E' a& p+ O I: Q4 k) K
(defun sqr (x)
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(* x x)
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;;定义求一元二次方程的函数' x( G% M- g5 d) k" G5 V# D& t/ L
(defun roots (a b c / t1 t2 x1 x2)9 e, g- [0 v- h1 [
(setq a (float a) b (float b) c (float c))# r$ }% r a7 b$ g
(if (/= a 0)5 x, G# }7 F- e, g8 d8 e" l$ a" G# L
(progn
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(setq t1 (- (* b b) (* 4 a c)))
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(if (>= t1 0.0)& b+ K# ~9 l. a o" u0 v0 o
(progn
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(setq t2 (sqrt t1)); [ v2 H I7 ^
(setq x1 (/ (- t2 b) (* 2 a)))' Q& }; \' V" n1 ~- \( d0 }
(setq x2 (/ (- 0.0 t2 b) (* 2 a)))4 u" x: y0 t; B# t
(list x1 x2)
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(progn- R D# _% g: x( K+ C+ L6 ^
(alert "\n根是复数.")4 A0 ]5 o2 z' a& |2 h
(setvar "cmdecho" oce)
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(quit)0 q. R* j; R' {" G
)
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)
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(progn1 Y8 c* U* U5 f8 [
(if (/= b 0) k T3 k* q1 H1 x. W" }
(setq x1 (list (/ (- c) b) (/ (- c) b)))+ u7 f# |" n( b9 @& X7 E' N! v/ `
(progn
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(if (/= c 0)9 e/ e) y: e2 A& x; I8 Y( s
(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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)
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(progn) j& r W4 Y- l4 p1 o, G$ P' X
(princ "\n无穷多个解")0 _ W2 y. `( R+ P) m, ] @3 ^3 c
(list 0.0 1.0)
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;;;*************************************8 i1 ^7 L" H4 B3 _! `
;;;取点,并进行座标转换以及判断和坐标交换* c% I9 T1 U/ V. E9 Z
(defun C:aaa (/ p1 p2 p3 p4 pch pm dm pm1 pm2 k1 k2 k3 k b1 b2 b3 oldmode oce xxx yyy zzz8 p+ {4 i' E0 {+ D6 Y) A1 i: T
rmin rmax short1 long1 short2 long2 intp do p23 0.5h yy kk bb sx1 sx2 sy1 sy2)% A/ J' f; Y6 k3 [* I1 `! f9 [
;;(defun C:aaa () Q$ _, q. v: y w4 H4 N9 G3 i* Y
(graphscr)4 ~5 u# N" F( ~$ V6 ]( N( y
(setq oldmode (getvar "osmode"))
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(setq oce (getvar "cmdecho"))/ X5 M+ ^( O( a) c
(setvar "cmdecho" 0)
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(VL-LOAD-COM)$ ]( n0 y9 F: `
(setq AcadObject (vlax-get-acad-object)
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AcadDocument (vla-get-ActiveDocument Acadobject)2 W/ f D* x. _/ t. O& f. G
mSpace (vla-get-ModelSpace Acaddocument)3 Q! \8 m, R# h! e& l
)
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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"))6 Y+ ?8 c9 u2 `# p0 y+ H! g; Y% \
(setq p2 (getpoint "请输入第二点:\n"))
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(setq p3 (getpoint "请输入第三点:\n"))6 f8 _( J9 `' n. W
(setq p4 (getpoint "请输入第四点:\n"))
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;;car: Returns the first element of a list, o6 H/ C7 k7 y! g2 B3 d' p
;;cadr:Returns the second element of a list G1 G5 i+ ?9 W3 H' `( E
(setq p1 (list (car p1) (cadr p1)))6 F' e% S6 H" U" }7 l* ~, h
(setq p2 (list (car p2) (cadr p2))) K* |# s0 R6 p) V. Y0 j0 {. j/ W
(setq p3 (list (car p3) (cadr p3)))
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(setq p4 (list (car p4) (cadr p4)))! M; M; h) ?3 R% ~2 _
;;定义两矢量之差----------------------
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(defun sub (x y)+ Y9 q+ A) {( n$ n4 a% a
(list (- (car x) (car y)) (- (cadr x) (cadr y)))5 S$ `1 ?" X' Z$ u* ?1 h
)
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;;定义矢量之叉积,即二阶行列式之值-----3 l5 e! \& s4 g0 t ?: L$ D
(defun det2 (p1 p2)2 H3 u. Z E* F! P8 R8 Q) [
(- (* (car p1) (cadr p2)) (* (car p2) (cadr p1)))) \3 Q% d$ D) F% p7 F& M" Y
)
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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)7 L0 D3 o: ~! o/ D \% Y! }2 U' Y- e9 s
(+ (det2 p1 p2) (det2 p2 p3) (det2 p3 p1))1 Z& u" q+ Z4 o
)
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;;定义没有方向的夹角------------------# P! m9 x9 b: T
(defun ang (p1 p2 p3 / x)( a3 H- b: c# Q( b! h* v/ K
(setq x (abs (- (angle p1 p3) (angle p1 p2)))). M# A% L# ?+ s; J A/ ~/ |
(if (< (abs (sin x)) 1e-8) (setq x 0)$ ]' z+ r8 Z9 H+ G+ P; M
(progn (if (> x pi) (setq x (- (* 2 pi) x)) (setq x x) ) ) ) )) N- G2 j' \) h: y, v- M
;;判断点是否在某三点形成的三角形内----: B2 B4 J* h6 Y" O
(defun inner (p1 p2 p3 p4 / x)/ ]' ]: }8 p" N
(setq x (- (* 2 pi) (+ (ang p1 p2 p3) (ang p1 p3 p4) (ang p1 p4 p2))))
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(if (< (abs x) 1e-8) (setq x T) ))

复制代码

wenwengg · 发表于 2010-1-5 10:00

;;------------------------------------" _8 Y5 B! u0 B' _2 C+ E" y* A
;;进入程序主段------------------------( e: ^9 h* X( @5 ?8 h8 [+ _) W
(cond ( (= 0 (* (ang p1 p2 p3) (ang p2 p3 p4) (ang p3 p4 p1) (ang p4 p1 p2)))5 Z$ O' K2 p' S' {$ p
(progn (alert "有三点在同一条直线上\n请重新输入") (setvar "cmdecho" oce) (princ)))* H, L& i9 U0 y+ x6 N' y7 y9 t
( (or nil (inner p1 p2 p3 p4) (inner p2 p3 p4 p1) (inner p3 p4 p1 p2) (inner p4 p1 p2 p3))# t3 K( t1 I' O! Z
(progn (alert "这是一个凹四边形\n无解") (setvar "cmdecho" oce) (princ))): R" D7 y5 c3 R* ?4 N/ w
(t * W) { w9 W3 r6 l& x3 ?
(progn2 q6 F5 @% q* m F* g! U! U, m
;;判断3、4点是否在同一边，否则交换2、3/ N# f5 T9 M7 @& r+ R+ e! B1 k
(defun same (p1 p2 p3 p4)) _' M3 O" F, X3 p
(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))% l) \) Z. y' j
(setq p2 (car pch) p3 (cadr pch))
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(setq pch (same p1 p4 p3 p2))$ r, {; x& T& s M2 G
(setq p4 (car pch) p3 (cadr pch))
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;;取中点为原点------------------------7 \# `2 v, ?. V$ ^- }7 N
(setq pm (midp (midp p1 p3) (midp p2 p4)))
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(setq pm (list (car pm) (cadr pm)))4 c7 R% E) [9 R% Y; W! _0 g! X% t
(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------------------------# @' H8 a' W# G4 l" E4 k" i K* _! L
(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)))
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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)))
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(if (< dm 1e-8)3 g' f/ W/ N% M5 U" u8 Z. ?
(progn
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(if (and (< (abs (- (ang p1 p2 p4) (/ pi 2))) 1e-8)5 t2 C: y8 K- }# v2 D
(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")/ f6 v% Y6 ^# V# W" r- T
(setvar "osmode" 0)! S5 F4 b# J" J4 E- h$ H
(command ".ucs" "O" pm)
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(command ".line" p1 p2 p3 p4 "C"). H, h5 o% u6 e/ G
(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)
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(setvar "cmdecho" oce); m2 F( Y9 }7 c4 Y! m$ [
(princ)% R$ s$ u' ?5 S3 u: _5 T/ \
);;判断是不是平行xy轴线的长方形----
# }+ P/ K" d) ?
(progn, y7 C, M( A4 |
(if (or nil (< (abs (cos (angle p1 p2))) 1e-8) (< (abs (cos (angle p1 p4))) 1e-8)) ^" C/ r2 p+ o& w; }2 `# w
(setq p1 (rot90 p1) p2 (rot90 p2) p3 (rot90 p3) p4 (rot90 p4) yyy 1)! P/ ]7 s: e9 E" ^9 J' D% L1 f
(setq yyy 0)4 }: ^) [; E1 A
)- Q) C' s# u _. V
(setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))2 Q r; ^# w% j' m* M/ I! G
(setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))& h6 E' O. j n0 a4 e
(setq k1 (tank p1 p2) k2 (tank p2 p3))
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(setq kk (- (sqr k1) (sqr k2)))% W( E7 O" j8 q1 o* Z
(setq bb (- (sqr b1) (sqr b2)))) f/ S) M* f2 @ Y9 Y# u O, A- ?
(if (and (< (abs (- (ang '(0 0) p1 p2) (/ pi 2))) 1e-8)( @) m e4 @9 X4 Y& m2 S7 E6 p
(< (abs (* (sin (angle p1 p3)) (sin (angle p2 p4)) ) ) 1e-8))7 U+ [) j W# x& S/ P& r
(progn
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(if (< (abs (sin (angle p1 p3))) 1e-8) (setq zzz 1) (setq zzz 0)). z& f% z8 V/ |2 U0 n* x
(if (< (distance p1 p3) (distance p2 p4))% d, _# ] u) \8 J" @; {' M6 N7 F
(setq rmin (/ (distance p1 p3) 2) rmax (/ (distance p2 p4) 2) xxx 0)3 b9 f" Q& ~+ s. Y3 Y! F
(setq rmin (/ (distance p2 p4) 2) rmax (/ (distance p1 p3) 2) xxx 1))" N O& P) p: H8 a/ M; g" I' q
(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")7 J9 o9 |) D8 u4 D
(setq short1 (getdist "\n请输入一个距离:"))/ d, W9 ?3 u" m
(if (<= (- (sqr rmin) (sqr short1)) 1e-4)6 s$ @; M) z0 @. Q) m% h0 s
(setq short1 (/ rmin 2)))
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(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)) )3 Z. q, X) v6 F1 M( ~: _/ V u
(setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) )6 v! x# Z: c8 ]' |3 k5 `2 ]
(setvar "osmode" 0)5 K! z) w- }( ]9 k1 i, _
(command ".ucs" "O" pm)) [% z: J0 m( X) c! m. @8 k
(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))9 d+ L @$ E) E# u& J' F% @- B
)
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(setvar "osmode" oldmode), F0 z2 m; O0 x0 C, |% W
(setvar "cmdecho" oce)$ h2 _% l y3 x& a# @) ]5 O
(princ)/ q% f: A h1 j1 C7 {
);;判断是不是平行xy轴线的菱形---3 I& x5 H; R+ b( }3 w
(progn: X' ~2 Z- W/ G/ u
(setq yy (/ (- (* (sqr k1) (sqr b2)) (* (sqr b1) (sqr k2)) ) kk ) )
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(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))% }: ^. y& z# B
(progn
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(if (= yyy 1)
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(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))9 T7 }9 s3 z% x
(setq long1 (sqrt (/ bb kk)) short1 (sqrt yy))/ Q, o: o/ r( b5 e
)9 U, i* I/ R8 ?, c7 P9 M
(princ "这是一个可解平行四边形")
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(setvar "osmode" 0)( z: W. j% M" l6 u' D1 T* d5 q
(command ".ucs" "O" pm)( E, b, D! y7 {" N& X
(command ".line" p1 p2 p3 p4 "C"): z- Q, a5 p$ L
(command ".ellipse" "C" '(0 0) (polar '(0 0) 0 long1) (polar '(0 0) (/ pi 2) short1))0 A3 B" S. ]# C: u& Y
(command "ucs" "P")" Y3 e( @ x- K7 S R9 g4 `8 D
(setvar "osmode" oldmode)
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(setvar "cmdecho" oce); a- q6 U& ?) N O9 L5 a7 ]
(princ)2 _0 `+ m- O: J9 d& V
)4 L' X- H! T4 e) M7 V3 }4 ?
)& {" t6 }+ g) a, 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

(progn
r1 x* b. A- H& e+ c- f9 {/ g7 J9 Z
;;定义旋转90度函数--------------------
! V4 f3 @: k O6 T* v7 y
(setq pm1 (midp p1 p3) pm2 (midp p2 p4))0 v; `1 m# {3 g, @+ v
(if (< (abs (cos (angle pm1 pm2))) 1e-8)
( u2 y( Q! o5 j
(setq p1 (rot90 p1) p2 (rot90 p2) p3 (rot90 p3) p4 (rot90 p4) xxx 1)
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(setq xxx 0)
) ]" e# [: \& H/ d( X
)
, M! \% w# e3 }" ^
;;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)), h% }+ Y' d. [: a/ o* c6 }
((< (abs (cos (angle p2 p3))) 1e-8) (list p3 p4 p1 p2))
3 g; E- L: h8 Y8 q; W2 I) r
((< (abs (cos (angle p3 p4))) 1e-8) (list p4 p1 p2 p3)). u* `- I& L6 T1 Q9 \0 F' S
(t (list p1 p2 p3 p4)) ) )" M+ C m' v- {3 P8 P! m# i3 W
;;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))) `6 G6 @ Z9 W6 x( G4 T0 B
(if (< (abs (sin (- (angle p1 p2) (angle p4 p3)))) 1e-8), P9 v- j# W. z% `) q Z$ T8 P
(setq p1 (cadr pch) p2 (caddr pch) p3 (cadddr pch) p4 (car pch))
4 j( _4 y' o$ ^' o( W' E
(princ)
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)
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;;判断是不是梯形----------------------
8 c' b: E& m7 z6 _ e# \- s7 S
(cond ((and (< (abs (sin (- (angle p1 p4) (angle p2 p3)))) 1e-8)+ D# L' k7 |* P! Q/ t
(< (abs (sin (angle p1 p4))) 1e-8))
3 {7 ? X' l& V. W8 q" W* h
(progn & ^8 H4 i5 B6 r- d8 m
(setq pm1 (midp p1 p3) pm2 (midp p2 p4))8 Q5 d5 ~9 M! V- V) L
(setq dm (midp pm1 pm2))0 f" P# E! ^4 N) s% Z+ z- p
(setq intp (inters p1 p3 p2 p4))/ `# C) b. p8 f. [8 Y2 e2 W
(setq do (inters intp (polar intp (/ Pi 2) 1) pm1 pm2 nil))5 T9 l1 u2 O7 |: ^# K+ p
(setq p23 (inters do (polar do (/ pi 2) 1) p2 p3 nil))1 s4 G( j \& B. F+ p' o* v/ v! w
(setq 0.5h (distance do p23))
3 S' ?. l4 W3 X6 d. |
(setq b1 (distance do (inters do p23 p1 p2 nil)))
/ R2 C) g" K8 ?
(if (<= (- b1 0.5h) 1e-6)
8 e' r* f/ o8 ^8 M& T0 E! d
(progn
0 u) H j. @% O1 F& t- H! i: D
(alert "在这个方向的梯形无解")
1 x* C5 g# N/ h2 S' o
(setvar "cmdecho" oce)
y# R' k! w$ S$ l* b; f
(setq xxx 17)
. T. l" }3 M/ ?3 e
(princ)3 G1 g r3 h* R! i
)% y7 o, j$ s, A" M H
(progn
2 P' N' h) X/ g
(setq b2 (distance do (midp p1 p2)))+ C, v* d2 M) Y; y1 {
(setq b3 (/ (* (sqrt (- (sqr b1) (sqr 0.5h))) b2) b1))
( a* G$ ^' g7 z2 ~/ i$ S
(setq long1 b3 short1 0.5h)
: [! [; h& N7 M5 `* S4 _- l
(if (= 1 xxx)
5 n% c$ g* D* ]% w( q! G
(progn * V H* y4 M( s: u* U$ p# M# Y
(setq long1 0.5h short1 b3)
) Q- s: o' q- X+ E' J
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4) do (rot-90 do))
4 @" L- u% n0 u. K+ S
)* z G8 C4 T B( | n
)2 g* S w h% ~0 O& T6 g" x0 @
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))
7 t: k* d, r" W0 _+ x, y$ R7 H
(progn
5 t& `; y C/ q* L) y+ s
(alert "这个方向的梯形无解")
* x1 S6 n0 n4 H" D4 |$ Q2 {- U' w
(setvar "cmdecho" oce)
6 H0 I5 F, m5 K& a* M/ o
(setq xxx 18)
- ?0 X$ a' P* N0 J, N; [8 t1 T: L2 Z
(princ)1 S3 `) x, |" x. n3 S& {6 T! F
)9 n/ U% N! N+ G8 Z
(progn
$ \" j- V; N" ]( h" M
(setvar "osmode" 0)
# B" { l& q& r6 P" X
(command ".ucs" "O" pm)
$ ?. K. d3 V1 v8 T; u/ u1 t; D$ s
(command ".line" p1 p2 p3 p4 "C") " x% ?! g; G( ?5 k
(command ".ellipse" "C" do (polar do 0 long1) (polar do (/ pi 2) short1))
1 w) U+ `! I1 Y3 K9 k
(command "ucs" "P")2 k. k/ b" A3 |9 H# e$ f; [
(setvar "osmode" oldmode)
' [" d2 Q- ^6 _) p
(setvar "cmdecho" oce), A F4 b3 R* L) L6 t. x$ Q
(setq xxx 19)
, |( {. |; O9 Z# E+ X, G
(princ)$ @+ w0 W; `# A4 ]6 v3 k2 v
)
)
3 q4 l/ T8 R& q$ N5 C
)7 {7 m6 I5 B1 R' I5 e. q5 y. r
)
( a6 w, m/ J L& [' _7 \
); v* Q2 v( Z( u1 c
)
" i9 q$ n, A' n a/ ?2 Y
( (and (> (abs (- (ang (inters p1 p3 p2 p4 nil) p1 p2) (/ pi 2))) 1e-8)) h8 f1 B# {* V/ }% Q" y
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8))
5 H; T m" @$ U X3 {2 H
(progn; k# J" f8 I. E4 r( ~( k
(alert "斜筝形在这个方向无解")
6 r5 l J* ~- e: P( B. W
(setvar "cmdecho" oce)
% p+ a0 c! k* T5 d' Z
(setq xxx 19): m* x; R4 l2 g7 e/ e
(princ)
8 H/ L6 j k0 l( F: q. G7 V
) % W; ] q+ D/ G# a1 W( _
);;对角线在X,Y轴方向的斜筝形无解
5 X a _8 P1 F Q2 r# `
( (and (or nil (< (abs (cos (angle p2 p4))) 1e-8) (< (abs (cos (angle p1 p3))) 1e-8))
( C: ?- {- r1 q N
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8))
1 i, @9 q( V& K# l( r/ z
(progn! @6 D( J1 ]6 j! e$ D0 Z9 y
(if (< (abs (cos (angle p1 p3))) 1e-8) / C9 w$ c" |; o* L
(setq pch (list p1 p2 p3 p4) yyy 425
+ W* C! P$ X' K2 b3 J* q" ^: T
p1 (cadr pch) p2 (caddr pch)- [9 P# T5 s3 R3 ]! n
p3 (cadddr pch) p4 (car pch))
: l# E. G3 {8 b; `1 N+ v4 q; z
(princ)4 X( v' X9 ~3 B7 X' _9 [2 U3 W
)
; G" K& [6 W& T8 O# L( b
(setq pch (list p1 p2 p3 p4))
3 M6 b8 p( `& I4 t- u9 k1 n& c6 Q
(setq intp (inters p1 p3 p2 p4))% F4 A) x" c4 |; g: {0 z/ q4 A
(setq k1 (tank p1 p2)); n U( g/ ~: Y6 I+ L
(setq k2 (tank p3 p2))' U* o( } r& o1 `
(setq dm '(0 0))
7 u0 @/ Q! f$ N I, h6 E, k7 ?
(setq sx1 (inters dm (polar dm (/ Pi 2) 1) p1 p2 nil))
, j2 c$ ^8 N' H
(setq sx2 (inters dm (polar dm (/ Pi 2) 1) p3 p2 nil))
1 S, ?& s% d0 {/ |
(setq b1 (distance dm sx1))7 S& j# ?3 Q1 [5 @; @/ ~
(setq b2 (distance dm sx2))
/ |( q( j/ ?( {9 K8 f7 A' 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")1 E: K+ H K7 |2 l6 P. M# K9 q
(setq xx (getdist "\n请输入一段距离: "))
& N. [2 o8 |. r/ F+ Z; R% x. y, \) M
(setq b1 (+ (* k1 xx) b1))

复制代码

wenwengg · 发表于 2010-1-5 10:02

(setq b2 (+ (* k2 xx) b2))
; r$ D) ]0 R7 M1 y5 | G
(if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0). C* X6 r( d: i+ _( g
(< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) )
5 i9 Z( W7 R( M1 S
(progn
( f2 y7 l7 Q, b5 l* {
(setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )
3 u( |, v6 R) \/ a5 N$ R3 p9 g7 L. j
(setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) ) / L0 F8 u K5 x+ ^$ o( M$ R) _" z( a
(setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )
( c$ Z2 l E) }
(setq b1 (+ (* k1 xx) (distance dm sx1))), i# d. W4 U+ ^3 @- p) q K
(setq b2 (+ (* k2 xx) (distance dm sx2)))
% \2 I: ~+ h6 o1 A/ u
)+ r+ n$ O3 t6 N, Y+ s
)
$ S0 f m* B- }4 L4 q/ {
(setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))" K5 v$ N* }, j! q; d
(setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1))))) }3 C& L" P: ^* i, V* ^
(setq cen1 (list xx 0))4 c8 X, A- k1 f- N; j
(if (or nil (and (< k1 0) (< (car p1) 0))2 p, c8 m8 Q& j* m+ h
(and (> k1 0) (> (car p1) 0)))+ \$ [3 \9 U, D+ A/ k' D4 o
(setq cen1 (list (- xx) 0)))* n1 [% [$ g# o) C6 A
(if (= 1 xxx)
4 l9 ^, F v" p h4 m
(progn
5 X! V5 Z0 ?. ]$ ^6 c" i
(setq cen1 (rot-90 cen1))
4 j' r8 v" c; v6 M5 w5 l5 G4 H
(setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))* m& _' K/ C/ F
(setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
, I. A* c% M# v; M+ h! v8 M
(setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))7 Q# V0 l8 V( [: M/ t
p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))
9 L& h8 [8 S. Q5 K6 ?1 N
)
. z0 _% V3 l. @* [
)! h; C! l, H+ [4 c) a7 @
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))
$ G( H* O5 e7 M% {
(progn
# `$ v3 w' o/ n5 w4 u
(alert "你输入的距离不合适!")' J8 [7 T5 M+ N2 N( k
(setvar "cmdecho" oce)
5 W5 A' T* L( o( k+ c
(setq xxx 18)5 i/ j* T) w T4 b& ?3 N* l
(princ)
0 }; q- E0 q9 m6 F( V
)% d9 p" h1 \( b. ~
(progn
8 B- B' I/ D2 ^
(setvar "osmode" 0)
4 D( `; Q7 k9 h' `: H
(command ".ucs" "O" pm)
/ L: v/ [5 }7 ^ k6 {* \
(command ".line" p1 p2 p3 p4 "C")
1 i5 L- e: w1 w
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))3 s6 A5 N# r- i; m6 ]# \
(setvar "osmode" oldmode)
: \" ]3 B' [: e/ u$ S# a
(setvar "cmdecho" oce)
" q. p- a F4 m3 a5 }1 e
(princ): I; Z. y& o6 o T9 \& O7 [; d
)' P* M9 y3 P9 X8 ~2 L
), K1 |# l1 I0 I6 b
)) 4 V: M: U, Q, `( B' a- ?
(t (progn N7 P" b9 M7 t
;;计算直线截距和斜率------------------
+ W( E8 \2 x5 i4 w ~" z* B6 C8 N
(setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))
5 \% ?; }& y& C+ m4 D
(setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))
! k9 \& |! j% {3 }3 q+ T7 o
(setq b3 (/ (det2 p3 p4) (- (car p3) (car p4)))): s0 _% L& s& }( }, J
(setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )
% ^$ A1 y- ]* o( ]. c
;;定义求解椭圆长短轴线函数------------4 D; v; p9 W1 `: a# 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)
r8 [# ]" r+ ]3 {, `* L( D0 z8 F
;;(defun solvef (k1 k2 k3 k b1 b2 b3)
0 u: ?+ Q5 O& _2 p) y" ]
(setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k)) Y' N" z; A. y! F' u+ _) B
(setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))" Z. D7 X/ h4 @( u3 J, @0 L R
(- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))* E4 Q' Y& I: t5 b2 \( I
(- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2))))
! T* Y& [( x! g( ^8 S5 [
(if (< (abs a) 1e-8) (setq a 0) (princ)) a" W2 q8 F8 l8 e
(setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))! a: N& X' E% K
(* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))
- h, c7 M1 G/ t8 t9 ^
(* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2))))
3 S2 q8 P7 X6 `5 x- b$ h% A
(if (< (abs b) 1e-8) (setq b 0) (princ))/ |( R6 Q- y: n* k# S4 l# X
(setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))
" R1 w9 o( I) s
(- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))
5 @* i8 |) T- T# p* h9 W/ y
(- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1)))) @7 l. T5 J. Q+ u( n
(if (< (abs c) 1e-8) (setq c 0) (princ))& \ `3 p/ N! l- V" w1 a
(setq g1 (roots a b c) g2 (cadr g1) g1 (car g1)) V1 O$ A& ^5 p) G! K5 O. E" p
(setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))
3 {9 [, d5 l f& q- m4 i
s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3))) & l& v) ^8 q* J" _* z/ }" D
(defun solvex (k1 k2 k3 s1 s2 s3)
" u% U$ \, N; F% d; ~$ a
(cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
: s2 W% r. M3 Y
((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) )
) m9 X3 d: u6 W$ b6 P/ M
((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) )
- a+ R3 k/ y0 X7 A( \/ w
(t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
2 Z8 p! x9 [) E2 f9 L" `; ]
)
3 a( @" C0 Z0 L9 D/ ~
); @4 J2 v, t+ r P5 P! @0 I2 B
(setq sx1 (solvex k1 k2 k3 s11 s12 s13))* C0 K+ a2 t2 t
(setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))
% p4 v. A$ t' f- ]9 [3 K( ^. s
(setq sx2 (solvex k1 k2 k3 s21 s22 s23))
0 ~6 M2 ^0 Z l5 `8 d i
(setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2)))))
7 ]1 c) f6 c; j7 h/ w) i
(list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2)) 9 C1 Z. a+ ^! z6 X0 V& c
)
) `8 E3 N1 r/ U+ L8 Z5 c8 b
;;计算椭圆的长短轴和中心--
* e |& x* M* }! S+ Q
(setq so (solvef k1 k2 k3 k b1 b2 b3))0 }2 u& [8 ^: y9 W T
(setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so))): J" R% y3 N8 d4 A# d0 p
(setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so))); p) P1 x, f* n3 s% e. F, E, o
(if (= 1 xxx)
& n! H; {7 V. w1 d; f6 ^
(progn' |7 U9 K) q* A3 n6 l8 f5 R
(setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so)))0 T* O4 e" c) g) D; i7 }$ P& @& k% o
(setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so)))
7 V! W7 k! Q9 N$ v) s, A0 A
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))! p, N' T( F4 ?) F' A
)
2 Z) u; \$ S& @0 ?
)$ H; ~3 O6 u; T; V
;;判断中心点是否在四边形内
% n3 K% r( u3 C" q
;;并且判断所求是否满足要求; h* p; w8 L8 _
(if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5))
. r: b( v* ]8 T) w* g: w5 q$ S, q! p
(or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2))), x" g N9 f7 {5 h& X
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5)) }! a$ ^9 T2 h' q
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
. f* B! K5 {3 ^! v; } _
(setq xxx 2)% P7 q" y; h0 c8 W
(setq cen1 cen2 long1 long2 short1 short2 xxx 3)
+ I" c+ R. t' x$ y5 j! O
)
k; b$ P0 r' D7 q( {& v3 b
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
' e0 o0 u$ r+ J5 I/ v$ c
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
. Z; `# ?5 _( ~# v* s: J! [$ ?5 }2 k
(setq cen2 cen1 long2 long1 short2 short1 xxx 4)
1 V4 h. S6 t8 m, W
(setq xxx 5)
3 E' y6 M( n9 J% ]
)
' _7 A9 \' k( s4 z$ d
)5 S" i" ]' F' I
;;画椭圆------------------7 }: f; M/ W U: v8 K
(setvar "osmode" 0)
8 D1 W3 B6 f2 ^- U+ V1 N
(command ".ucs" "O" pm)6 l) I3 r; R* P f) a
(cond ((= xxx 2)# K0 W# v V s& \ M' i7 P& A
(progn9 F/ ^$ P1 d( ]0 I2 F; ?, k7 A
(command ".line" p1 p2 p3 p4 "C")
_5 s W# _/ o2 Z
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))# C- @- `9 a1 w3 D4 y) n" w8 i
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2)). P; V. W4 }& n5 s0 v* b
))$ ]. Y5 m& V: z1 l. @" O
((= xxx 3)
% s9 o7 Q" B7 Y
(progn/ {( C9 b* x: W( Z) v
(command ".line" p1 p2 p3 p4 "C")
' J1 S) N7 o; W! T
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
* l0 N7 b, K% w& t; B
))* S/ P/ F0 t" e
((= xxx 4)
3 [6 p2 j4 ?& ]5 d! q, a# W8 W' ~
(progn
( V% j& t4 k8 D+ s% ^
(command ".line" p1 p2 p3 p4 "C")
$ C: z1 i3 M, z- u) ~- l" u2 Q
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))/ R; E1 \* H, V* Z! g, h2 P
))
6 \$ W8 s* q# R' ]0 k; R0 J0 i/ x
((= xxx 5)# }: M8 E. L1 |4 u/ n& g1 |
(progn
* x4 s7 J) w7 j6 [& t( M+ H8 u; V
(alert "椭圆轴长或比率太少,无解")
2 f* g" m! U4 D. M: }
(princ)8 [5 l' L3 m; `3 s7 o
))
1 b" e- V: D' ]* T" t6 P) ?
)+ R& `6 f* \* x6 q/ y! t& h3 F
(command "ucs" "P")
+ Y; L- w m* ]5 m- w8 _% ?2 E
(setvar "osmode" oldmode)2 D) Z/ ~" ]. p* d
(setvar "cmdecho" oce)3 w* d2 G3 o( Z+ c
(princ)
& X0 x, M- y4 ? K+ l$ s* d
)$ D7 S5 n9 ?* Q S4 \/ P/ E1 v' `
)' \: u* m8 F9 _ w
)
" _. L: x1 T: R" t H( x
). \% a8 ?; ~3 k' Y4 C' u
)5 a) {5 b# a# Q6 {- ~0 }1 Z
)* ?# p/ R) d8 x e% l5 X
)2 [; S4 g M( q/ E( `
)
; g3 F4 q6 n4 I9 f( y
)

复制代码

消失的部落 · 发表于 2010-1-5 11:07

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