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 / )" m/ T3 Y( H" k$ ]! |; P9 I5 c+ Y
(setvar "osmode" $$mpt_osmode)
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(vlr-remove $$mptReactor)+ W x. r4 I; J7 ]4 H# r
)
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(defun mpt ( / a b mx my mz )
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(while (not (setq a (getpoint "\nFirst Point : "))))' p: k% L$ R+ x' n, ]
(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 $$mpt_osmode (getvar "osmode"))& x) ?( y: Q+ g/ t0 s, J
(setvar "osmode" 0)) n' U' W- @' V' T
(setq $$mptReactor (vlr-lisp-reactor data '((:vlr-lispEnded . recover_snap))))
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(setq pt (list mx my mz))* f2 t, H+ u; u% ?
)
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;;******************************************************9 l V$ L' x, ]+ O! s) ^
;;预定义一些函数
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;;定义平方函数
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(defun sqr (x): p' y; k/ O$ g0 t$ A
(* x x)1 ]! V; @$ w7 k Y
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;;定义求一元二次方程的函数4 V: V" }% E3 k0 }
(defun roots (a b c / t1 t2 x1 x2)1 V2 G; i5 F( k$ P2 o: F
(setq a (float a) b (float b) c (float c))9 w" j& ~/ y6 f0 H7 I# x' k4 p
(if (/= a 0)
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(progn, [! Q( Y1 R( x2 ]$ D( g
(setq t1 (- (* b b) (* 4 a c)))3 C: h! D" M5 P' D6 H3 A
(if (>= t1 0.0), S7 F) E, x9 D+ |" f
(progn
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(setq t2 (sqrt t1))4 z$ i: G' E" ^
(setq x1 (/ (- t2 b) (* 2 a)))+ D/ a& i8 X/ L( I
(setq x2 (/ (- 0.0 t2 b) (* 2 a)))
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(list x1 x2): @! m: f5 R* M% S) {
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(progn
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(alert "\n根是复数.")) l! l. f. o6 @( x6 Z
(setvar "cmdecho" oce)
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(quit)
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)
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)
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(progn
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(if (/= b 0)- l: b% v! R: b9 Z+ ]
(setq x1 (list (/ (- c) b) (/ (- c) b)))
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(progn
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(if (/= c 0)! o: p. e3 {* F8 a/ J9 T7 G; @
(progn
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(alert "\n无解")5 N& r: Q% V* s# i' E
(setvar "cmdecho" oce)" t) L4 \; |+ I8 H
(quit)6 o9 W( q* m+ _7 k/ l
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(progn8 U3 L" m9 ]: l
(princ "\n无穷多个解")1 n/ ~7 N( k: q
(list 0.0 1.0)' {; A# R& p/ i8 h$ e9 C
)
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)
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)
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)
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;;;*************************************9 Y5 k: Z4 [6 I" c& z" w
;;;取点,并进行座标转换以及判断和坐标交换
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(defun C:aaa (/ p1 p2 p3 p4 pch pm dm pm1 pm2 k1 k2 k3 k b1 b2 b3 oldmode oce xxx yyy zzz
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rmin rmax short1 long1 short2 long2 intp do p23 0.5h yy kk bb sx1 sx2 sy1 sy2)1 |! i! q: p; }6 @, J7 x
;;(defun C:aaa ()
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(graphscr)
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(setq oldmode (getvar "osmode"))
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(setq oce (getvar "cmdecho")); g$ y2 e* |$ h G
(setvar "cmdecho" 0): }- N1 I- i- y# y$ X" c; r
(VL-LOAD-COM)
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(setq AcadObject (vlax-get-acad-object)$ n7 g {: w6 w, B% v
AcadDocument (vla-get-ActiveDocument Acadobject)
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mSpace (vla-get-ModelSpace Acaddocument)
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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"))
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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' ]9 x$ N) _ K" ?9 V& g
(setq p1 (list (car p1) (cadr p1)))% S- o' G1 I0 S! K: k4 s! k
(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)* M$ q" l" }2 j5 a/ h
(list (- (car x) (car y)) (- (cadr x) (cadr y)))) T9 t2 K. D5 p$ {: y) d
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;;定义矢量之叉积,即二阶行列式之值-----: R( F6 ~/ }/ f
(defun det2 (p1 p2)
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(- (* (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)/ K4 Z: H6 Q% s( j2 B; _$ ?' O
(+ (det2 p1 p2) (det2 p2 p3) (det2 p3 p1))( q, J7 I2 j* |
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;;定义没有方向的夹角------------------
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(defun ang (p1 p2 p3 / x)3 T; F# S- S5 S6 Y& Q9 o5 w q% p
(setq x (abs (- (angle p1 p3) (angle p1 p2))))+ r7 u: j T! s1 [0 B8 G
(if (< (abs (sin x)) 1e-8) (setq x 0)/ l9 j" m9 r) [( u {% n
(progn (if (> x pi) (setq x (- (* 2 pi) x)) (setq x x) ) ) ) ). c, j: Q- `* p2 R: b# L+ O
;;判断点是否在某三点形成的三角形内----3 a; z! v; p* ~ l5 b. f1 M& N+ r
(defun inner (p1 p2 p3 p4 / x)0 I& ~4 ^! T' L1 M
(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

;;------------------------------------ Z1 b ~. ^0 k5 Q& k4 J! H6 d
;;进入程序主段------------------------4 e# y5 @ C5 G) n
(cond ( (= 0 (* (ang p1 p2 p3) (ang p2 p3 p4) (ang p3 p4 p1) (ang p4 p1 p2))) G$ h2 H( m+ M" v. T3 }/ H
(progn (alert "有三点在同一条直线上\n请重新输入") (setvar "cmdecho" oce) (princ)))4 G; [: s5 i) O5 ~8 f
( (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)))3 H7 _+ z9 b! O! U- w- Q
(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
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(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))5 o) f% U) ?8 E& d
(setq pch (same p1 p4 p3 p2))8 K, F m' e5 f, ^
(setq p4 (car pch) p3 (cadr pch))
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;;取中点为原点------------------------ Y: d: b# j1 `6 N* z
(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)): l! J$ R5 V, n, g& g: [" [
;;定义直线斜率------------------------8 B6 A! q8 ~6 L8 o8 a3 l
(defun tank (p1 p2)
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(/ (- (cadr p1) (cadr p2)) (- (car p1) (car p2))))$ r. E E% i8 Z
;;定义旋转90度函数--------------------" c, [* _6 k5 z/ w/ ]7 i* x/ Q9 s
(defun rot90 (x) (list (- (cadr x)) (car x))); R# t, d- b2 X6 d4 m1 O* [ v1 A
(defun rot-90 (x) (list (cadr x) (- (car x))))
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;;判断是不是平行四边形----------------' d& [% t2 d/ A3 a$ f5 Z, W
(setq dm (distance (midp p1 p3) (midp p2 p4)))* c# D) q4 x, U- s/ T! |
(if (< dm 1e-8)+ i# K% ]' q. ]" d g6 ~
(progn7 X. n7 R. {: W6 k: `9 [- m
(if (and (< (abs (- (ang p1 p2 p4) (/ pi 2))) 1e-8); ^. z+ r" O/ r9 g/ @6 G: q3 Z% t" V- @4 ^
(or nil (< (abs (cos (angle p1 p2))) 1e-8) (< (abs (cos (angle p1 p4))) 1e-8)))
(progn
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(princ "这是一个平行xy轴线的长方形")1 Y; x/ j& K* v- t& G
(setvar "osmode" 0)
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(command ".ucs" "O" pm); H2 h5 D- `& j0 f- s9 Y9 e6 R6 z
(command ".line" p1 p2 p3 p4 "C")2 {+ l$ ^/ q- ^9 a: C& U
(command ".ellipse" "C" '(0 0) (midp p1 p2) (midp p1 p4)); {, V& ~7 f! G" X! W* U) [
(command "ucs" "P")4 J( q$ R8 e4 I! O! s0 y
(setvar "osmode" oldmode)7 F7 l' s5 t& h. R- v2 W. n0 _8 B
(setvar "cmdecho" oce)+ N! R, M# P8 i6 Y5 i2 U
(princ), ^- y2 [5 k8 G! D0 Q& D
);;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))% {" [6 T6 s$ W! \" }
(setq p1 (rot90 p1) p2 (rot90 p2) p3 (rot90 p3) p4 (rot90 p4) yyy 1)
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(setq yyy 0); e/ U0 _" e' g
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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))))4 a7 M* K# P8 s! I0 ?
(setq k1 (tank p1 p2) k2 (tank p2 p3))
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(setq kk (- (sqr k1) (sqr k2)))! m8 M6 A8 x. n/ ^8 z
(setq bb (- (sqr b1) (sqr b2)))0 a% h$ d1 v' B9 `3 i
(if (and (< (abs (- (ang '(0 0) p1 p2) (/ pi 2))) 1e-8)& K6 Y6 B! X% D' S. _ `
(< (abs (* (sin (angle p1 p3)) (sin (angle p2 p4)) ) ) 1e-8))+ U+ o, {% E! V- C4 h# l
(progn$ Z3 D- q$ e5 i' H6 B* A
(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)' L# H/ s& t9 e1 S" `/ M
(setq rmin (/ (distance p2 p4) 2) rmax (/ (distance p1 p3) 2) xxx 1))/ i$ t! o( U. C0 v# c( N
(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") o) E3 T9 O. ?0 j
(setq short1 (getdist "\n请输入一个距离:"))* I3 D# C' a9 ^& W' i
(if (<= (- (sqr rmin) (sqr short1)) 1e-4); ?9 K8 i z( G6 _/ Y
(setq short1 (/ rmin 2)))
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(setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) )& o6 s; ~9 C7 b( I8 V
(if (or nil (< short1 1e-4) (< long1 1e-4) (< (/ short1 long1) 1e-4) (< (/ long1 short1) 1e-4))$ j) E0 I( K' [) f" `- e' R
(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); ~ J& T# L8 H* U) r" ^; @# z/ j
(command ".line" p1 p2 p3 p4 "C")1 a! p3 q% }% Y# ?* X0 L
(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))8 z8 Y9 S2 T5 R: d; i
(command ".ellipse" "C" '(0 0) (polar '(0 0) 0 short1) (polar '(0 0) (/ pi 2) long1))
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(setvar "osmode" oldmode)
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(setvar "cmdecho" oce)
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(princ)" H' Z0 }+ H& {( f9 d, ], k
);;判断是不是平行xy轴线的菱形---
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(progn, v. O: ^" \4 M p. H& b! z$ H
(setq yy (/ (- (* (sqr k1) (sqr b2)) (* (sqr b1) (sqr k2)) ) kk ) )& K" ~; l8 g& [0 F. i0 H3 {; p, S
(if (or nil (< (/ kk bb) 0) (< yy 0))" B# P! M0 ?! R+ Q
(progn (alert "平行四边形在这个方向无解") (setvar "cmdecho" oce) (princ))
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(progn
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(if (= yyy 1)) [2 i8 o7 _ j' G" y) M6 u0 n- G
(setq long1 (sqrt yy) short1 (sqrt (/ bb kk))5 I" l1 u, y. `8 J; p2 R
p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))$ H, e: q; j1 W1 T) H% d
(setq long1 (sqrt (/ bb kk)) short1 (sqrt yy))
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)
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(princ "这是一个可解平行四边形")9 M% J& I j+ ~% t. e
(setvar "osmode" 0)2 L6 \! N5 V/ p2 \# K/ N: \# Z
(command ".ucs" "O" pm)
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(command ".line" p1 p2 p3 p4 "C")5 ^3 W1 w! V' X( I/ I; ?; }
(command ".ellipse" "C" '(0 0) (polar '(0 0) 0 long1) (polar '(0 0) (/ pi 2) short1))( D. r5 n1 X9 m/ U
(command "ucs" "P")9 z+ _* o) S% R& E. A" @+ @4 c# s
(setvar "osmode" oldmode)
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(setvar "cmdecho" oce)
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(princ)$ @9 q/ C1 N) m2 s, G0 T4 J! _
)
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)
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)

复制代码

wenwengg · 发表于 2010-1-5 10:01

(progn
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;;定义旋转90度函数--------------------
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(setq pm1 (midp p1 p3) pm2 (midp p2 p4))5 |2 B' i% q3 Y7 O/ ~* x
(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)/ G# h7 Q2 e+ o0 a4 W
(setq xxx 0)
d* n/ V/ G3 D" S
)- T/ {1 \; i) J( |3 {3 A; a
;;定义重新排列点序列函数--------------1 D+ l- T b# S0 l+ k
(defun rearray (p1 p2 p3 p4)
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(cond ((< (abs (cos (angle p1 p2))) 1e-8) (list p2 p3 p4 p1))
((< (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))8 s% q8 q' W" w# F
(t (list p1 p2 p3 p4)) ) )
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;;计算并交换点------------------------; U( ^7 R7 J; X2 ^; u
(setq pch (rearray p1 p2 p3 p4))2 F0 S+ j/ E& g8 S) y3 M
(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)% q- d/ h4 R. l9 A
(setq p1 (cadr pch) p2 (caddr pch) p3 (cadddr pch) p4 (car pch))+ @ D' w( ?! z# p' L& _- m2 g
(princ)
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)
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;;判断是不是梯形----------------------
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(cond ((and (< (abs (sin (- (angle p1 p4) (angle p2 p3)))) 1e-8)
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(< (abs (sin (angle p1 p4))) 1e-8))4 t, @2 D( j+ W! Z3 l# ]3 Y
(progn
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(setq pm1 (midp p1 p3) pm2 (midp p2 p4))
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(setq dm (midp pm1 pm2))* v" q; X; I) E B8 P
(setq intp (inters p1 p3 p2 p4))
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(setq do (inters intp (polar intp (/ Pi 2) 1) pm1 pm2 nil))% g" b3 Z: h$ c7 _
(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)))
+ s0 X3 W1 v5 B5 w4 S, X. a3 m4 T
(if (<= (- b1 0.5h) 1e-6)
6 p* p( R9 \! m- D' r
(progn
$ ^5 `7 ~7 l: I8 w R8 N
(alert "在这个方向的梯形无解")
# X6 o$ U( B7 C' G
(setvar "cmdecho" oce)1 R' y% l: Q* D1 A* w
(setq xxx 17)- x4 N& `( k8 I B4 o. Q
(princ)! B8 _: F/ `' R$ f) j0 q; f
)
' c+ ~# s; r7 @& m
(progn 0 _! ^9 O/ x) p
(setq b2 (distance do (midp p1 p2)))
x- o) M# ^, `9 [
(setq b3 (/ (* (sqrt (- (sqr b1) (sqr 0.5h))) b2) b1))
0 E( S) ^7 h- u
(setq long1 b3 short1 0.5h)
1 `$ N4 P {0 \7 K, X
(if (= 1 xxx)
% f* l# { l4 p
(progn
/ J! s0 R/ l0 u" x( N' D
(setq long1 0.5h short1 b3)6 z' n' S7 m* Z3 m: g/ J
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4) do (rot-90 do))
6 _6 E: Y( F2 }9 k1 C8 S# v
)
% @* |, n/ g$ Q6 K
)! A1 N8 R6 _& ]* y3 q
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))
. `9 K+ S* I# K/ H) V+ U' c& E
(progn1 B4 Y* e+ ~ l0 P; t+ s
(alert "这个方向的梯形无解")
2 A6 D) {" O5 q: _
(setvar "cmdecho" oce)* M7 w: ?% L: h
(setq xxx 18)
9 _1 z* m8 T& V* B% s5 \
(princ)
( |% f$ a0 j8 E/ D5 j' w& a0 _; z
)
/ g- G- G' U, F- E; Z( M5 Y
(progn
) F0 G1 c) _, K# V! Q5 A
(setvar "osmode" 0). U5 c( a# b9 c+ L* i
(command ".ucs" "O" pm) ; ?8 I' `3 v: j( s: U6 j3 h
(command ".line" p1 p2 p3 p4 "C") 7 m; Y+ |5 {0 H3 M5 S
(command ".ellipse" "C" do (polar do 0 long1) (polar do (/ pi 2) short1)); s( h7 E# L% t
(command "ucs" "P")
: K6 i/ K- o2 R- { T8 [
(setvar "osmode" oldmode)
(setvar "cmdecho" oce)$ m6 o' t. [) b- y0 {
(setq xxx 19)9 |; p2 b# i! F( A W, f# h5 M( Q
(princ)/ O- @% `5 Z' _. |
)+ X- w$ w- F, a2 g k8 t [3 |
), g! }' m/ s( h" M1 K7 ^
)- m F. U: v0 U; |6 h" ~
)
2 ]2 m- W6 Y- w# G( V
)) f2 q x8 G6 p1 A
)
) q# X. s2 s9 P. ]1 ^* }0 G0 A
( (and (> (abs (- (ang (inters p1 p3 p2 p4 nil) p1 p2) (/ pi 2))) 1e-8)
6 M9 Z1 T$ a% ~# m1 j" t$ Z z8 z
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8))9 d& e7 n6 w/ A& S K- R! M/ m
(progn
& V8 d* I; ~0 o; m4 ?) C
(alert "斜筝形在这个方向无解")
$ B( a+ A% n0 L/ I
(setvar "cmdecho" oce)
! @+ a2 t5 W+ g) o* C8 w( S. \; S
(setq xxx 19). N+ x( w/ \7 q- i# T7 B
(princ)
) H( _' H! T7 r y; f2 S0 s! E
)
/ G; t' p* X& d9 W% G- a2 e+ g* x
);;对角线在X,Y轴方向的斜筝形无解3 `. d6 `9 C! x5 O" }
( (and (or nil (< (abs (cos (angle p2 p4))) 1e-8) (< (abs (cos (angle p1 p3))) 1e-8))/ ^( a2 i6 N n# y6 `+ t
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8))5 e9 p3 @& w/ K, J+ P2 X
(progn
# j0 d& |/ t6 }4 b- {9 Z
(if (< (abs (cos (angle p1 p3))) 1e-8) F5 |% K v4 ?4 F" G3 W
(setq pch (list p1 p2 p3 p4) yyy 425
" i: h2 {" Z! M3 v0 ?
p1 (cadr pch) p2 (caddr pch)
}( Q) S% e# K: D0 j- f$ a4 v, w
p3 (cadddr pch) p4 (car pch))* M" p5 V+ @+ {2 ` E
(princ): {" b" @ a# l( z2 V4 }
); Z" s: @( k9 o; Y5 k9 e
(setq pch (list p1 p2 p3 p4))' }% W; O' D! B8 m& U2 \( t
(setq intp (inters p1 p3 p2 p4))0 `7 r, P) N" _( R8 {+ l: _: T$ _
(setq k1 (tank p1 p2)) n9 Q0 i. Q- `! M
(setq k2 (tank p3 p2)). |. [+ E: ^( l
(setq dm '(0 0))
5 ]/ ^1 ?8 P1 \: M' Y! d1 X
(setq sx1 (inters dm (polar dm (/ Pi 2) 1) p1 p2 nil))
- q8 u" L- U& ^" _; n" r+ d; s
(setq sx2 (inters dm (polar dm (/ Pi 2) 1) p3 p2 nil))
. @. L C1 w" T5 x: O; g, Z
(setq b1 (distance dm sx1))0 |8 H% t, n( g6 s+ I0 \0 t9 P9 Z
(setq b2 (distance dm sx2))
0 G5 m& V; {" l
(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"): H$ P/ ^2 |) U4 _* }
(setq xx (getdist "\n请输入一段距离: "))9 a; R# Z, C# K X* E, c4 k* b
(setq b1 (+ (* k1 xx) b1))

复制代码

wenwengg · 发表于 2010-1-5 10:02

(setq b2 (+ (* k2 xx) b2))
. K. z8 L" S \" y2 X* U& O- ]
(if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0)1 g3 t4 u, F) }# H
(< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) )
( f% |& }: O* L- h
(progn
) j$ j- Z2 t5 i0 K: R/ X
(setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )
: }: Y4 ]4 i& ]: m; `5 _# N
(setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) )
3 y ^8 U( d; }
(setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )' S& L0 d9 U( O( [# y; ^
(setq b1 (+ (* k1 xx) (distance dm sx1)))
6 H/ d. h! M1 A0 w# B- y. s& n4 E
(setq b2 (+ (* k2 xx) (distance dm sx2)))" L8 E: _- ^# ~0 E8 v
)
5 d0 Z ]6 Z" C. W
)3 S0 h& r9 n c( Y
(setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
$ o' Z" i4 \9 s3 {
(setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
0 ?- c' ?2 ?4 ^# d
(setq cen1 (list xx 0))
0 B& q7 T3 \' q( w2 g' u: E1 f
(if (or nil (and (< k1 0) (< (car p1) 0)) w6 F7 C$ F: q6 d& [ K
(and (> k1 0) (> (car p1) 0)))) i% p8 Q& C' [$ U
(setq cen1 (list (- xx) 0)))& ^$ o- {) A6 r% L$ f+ M
(if (= 1 xxx)
' V5 C3 v" E! m2 |+ j2 t0 ^
(progn- P8 t+ E) [! K6 x+ S, {$ K+ F
(setq cen1 (rot-90 cen1))
" f' G( r; h/ B& h
(setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
J/ R& j/ T" z: w( T& y+ P
(setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
; X& X7 u- C5 |; t2 A
(setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))
, I# U+ s- B9 ^$ O* P
p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))
2 H& ^: c( O% S6 P# _4 k4 K
)' g. @/ x% t4 g1 E
)% S0 H! G$ R p' r: I
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))8 X; y7 A* ?# d3 B; Z
(progn
/ D( @: {7 p5 j& C+ @- [) S
(alert "你输入的距离不合适!")
: j' L7 B2 _$ W; c
(setvar "cmdecho" oce)
) b" j0 s) }# R, n
(setq xxx 18)% b/ f8 v. }. S5 X+ e
(princ)
# r0 j% x( h: U- }2 W8 [
)
1 g& J1 z: `$ p- @$ P. ]* p
(progn
S B% R( J* b
(setvar "osmode" 0)" ~3 r& W6 n+ h1 R. ^
(command ".ucs" "O" pm)% M, |0 U2 W+ k5 [
(command ".line" p1 p2 p3 p4 "C")
( Q# z0 }$ S7 R# a( R, s4 X
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))3 @. y0 Z6 q1 A0 m+ l) }
(setvar "osmode" oldmode)
; t6 J) l& }# e/ S h% X' B
(setvar "cmdecho" oce)' A9 M4 D# n0 H* L# [ Z
(princ)
: Y* x1 j) ?; k; }0 [' e
)
7 |) P6 d1 ~4 Q! }
)
, |# x' ~' R6 a* c. `: C
))
7 s' D' W4 S5 P2 Q7 {
(t (progn
* q3 q e+ Q5 t' A6 U: o
;;计算直线截距和斜率------------------
6 T) ^8 }3 x6 a" o' ]1 \
(setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))
6 D* o& o4 K2 U6 b
(setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))
) ~% a- `, O: R% w0 l$ P
(setq b3 (/ (det2 p3 p4) (- (car p3) (car p4))))( J+ ]6 ?5 u" d; z5 f( d
(setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )/ x$ g1 f, O+ G5 ?/ `, J! A
;;定义求解椭圆长短轴线函数------------
(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), v2 ?+ e5 I! o7 U: A! W0 @
;;(defun solvef (k1 k2 k3 k b1 b2 b3); N! x- `5 p6 n' B$ [8 H M# w
(setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k)); i* l6 z3 r9 D: y2 F
(setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3))
; X. Y0 R' q1 R
(- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))+ e% t) L, S, N* q9 P
(- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2))))! j7 |- V; B" d* b, [: | U2 |
(if (< (abs a) 1e-8) (setq a 0) (princ))
6 T. m- v2 l- F4 {
(setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))
& o: Y8 }2 t g% \
(* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))7 C2 U0 o5 k& \3 u9 u
(* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2)))), Z+ ~6 a: L4 x+ g7 U$ x
(if (< (abs b) 1e-8) (setq b 0) (princ))
: D$ {0 O7 V1 c( Y1 R& }
(setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))
+ [# y2 m; G, w6 j q$ m
(- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))
4 Q; U, x9 J. z5 l8 k3 x+ _4 O! a
(- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1))))0 u, b3 O/ M& N# z7 d$ \6 e
(if (< (abs c) 1e-8) (setq c 0) (princ))9 k$ Z0 R) p# ^+ x% ~ m
(setq g1 (roots a b c) g2 (cadr g1) g1 (car g1)): c% ~0 W2 t) F. Y& y( r% R8 K" b5 y
(setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))
4 S9 H& ~4 I/ j* w+ _) m# q
s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3)))
- I; {- G. ~2 X- R5 H) I( I
(defun solvex (k1 k2 k3 s1 s2 s3)
R1 u$ C. H) _! p) @
(cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )- I7 G2 o& [3 a, O6 p4 |/ `
((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) )
/ ^* r/ l1 \, C# b* }7 N3 d: f
((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) ), R2 J. `! n( c
(t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
2 c6 o3 Y5 ` G0 {
) 6 v( G7 i( ~% C% P; r+ H/ @, V8 D. p
)# [" F! z8 }: R+ N# C [/ k
(setq sx1 (solvex k1 k2 k3 s11 s12 s13))
- _9 f! t8 H( r' ]" e, y4 t
(setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1)))))
6 `1 u: k& M/ n9 _
(setq sx2 (solvex k1 k2 k3 s21 s22 s23)). n2 I! H7 K; f+ T8 E, h
(setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2)))))& g$ Z0 v. X( a' n
(list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2)) i: J1 P" F H
)
+ a& M" q" V* u g
;;计算椭圆的长短轴和中心--
- i7 ^0 N+ @+ k3 M6 G( ~
(setq so (solvef k1 k2 k3 k b1 b2 b3))
( F7 m# d+ _6 R2 z" J) x0 N
(setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so)))( ?0 Y( Z6 G, ~) F
(setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so)))% n' W4 g% E8 e) h7 q! Z& @
(if (= 1 xxx)# Q) E( i8 i" m1 u" _; h, b
(progn
% q2 J) Q3 d% h1 b8 ~# B" U. ?' `
(setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so)))% V% a- B/ r' a4 }
(setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so)))
' }& D* `3 R2 R: N8 _, s
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))
) O+ j! p! Q& `; d' J; j
)
4 g% ^* U J. n+ E# ?
)
+ L8 ~7 _8 n& {* M
;;判断中心点是否在四边形内
5 m; ~8 f6 x+ I7 s$ m" x8 V
;;并且判断所求是否满足要求' g9 z1 `0 n# F8 f8 w _* r
(if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5))6 G6 L* `5 T! Q' \
(or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2))); t) K8 X' l4 [' J0 u ?) ]
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))1 p& f- u) [1 a5 Q3 U
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
5 _' c/ D7 l6 _8 L. ?
(setq xxx 2)
9 a; \7 T/ F6 U0 J
(setq cen1 cen2 long1 long2 short1 short2 xxx 3)5 @# f* B, p4 {4 N
); P: f: _0 N9 T
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
0 C; Z4 I) \. S* _9 s; P2 G3 H* d
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))4 i7 |, Q1 o2 L- c& r
(setq cen2 cen1 long2 long1 short2 short1 xxx 4)& D3 z" Z* {% K8 H+ N* j( {* X/ T
(setq xxx 5)
( H- q J$ p: Y- t8 R0 S2 f& I
) , L0 K8 r! l9 l* _- L
)
6 t8 v2 q2 G! I
;;画椭圆------------------1 @0 [4 _, _# K |' w. F
(setvar "osmode" 0)
& ^: C; @, h6 C' I
(command ".ucs" "O" pm)3 O# ]' d) n( A; A
(cond ((= xxx 2)( {$ N; O; O0 I& r/ A _9 C
(progn
4 W/ c {- B2 S3 W' c
(command ".line" p1 p2 p3 p4 "C") : D% n, Z2 C) p8 x
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
2 S; ^ ?- U [ l" \5 L6 R- x
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))2 k2 t1 U! G. j
))' E: S! k) ]" Z% m
((= xxx 3). w- H. F. }1 O& f( r
(progn
2 o$ B; ?, z) Q# Q! _3 A/ o6 D* L
(command ".line" p1 p2 p3 p4 "C") ! G) u' U8 i" V( a
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))$ m! [9 {+ Z6 C, Z6 W q) l2 \
))
. ~6 g9 d/ [: a8 D* A
((= xxx 4)
4 q5 U) G! ~& t1 w8 R) g
(progn
+ i& P/ `' n7 |! W! g
(command ".line" p1 p2 p3 p4 "C") ! q1 E3 E' W- A( D. Y
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))( e& x i# D& b) H# J
))
- D3 ]% a8 O- Y1 z
((= xxx 5)7 p$ W) l/ `) z M
(progn- n I9 L) Z6 V+ E6 M& v
(alert "椭圆轴长或比率太少,无解")
1 h% I: n5 K) e3 M) F C
(princ)
1 _3 J3 E3 [. w2 h. H
))
7 x$ B0 X1 i6 r; s- z- w, s
)
0 w7 v- l B5 S! ~6 I
(command "ucs" "P")4 u* o" v4 S/ L& ~+ Z/ ^ ?3 q
(setvar "osmode" oldmode), f$ I% l- [: y8 z* S$ I
(setvar "cmdecho" oce)! U' r3 P# h* u$ P; |7 n3 ?
(princ)- {" Z+ Z" b+ G5 k7 U
)
6 c/ P( A* C8 ?6 I7 F# H3 f3 I
)
2 m0 u: q3 J, C9 y" H6 w) Q
) 3 ^1 |$ f2 J# F0 w7 J+ v/ |0 R
)1 G8 Z* x. }- ?! j) W9 M
)
' _6 n4 A2 K9 a: a8 f0 U0 b7 `
)
, H; [1 v; u' t/ {& A0 E) H
)6 [) I' s' T( P9 v3 _
)9 u/ v2 T0 v- \ E5 Z( Z
)

复制代码

消失的部落 · 发表于 2010-1-5 11:07

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