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 / )! e v# G+ ^/ ?+ ~' T
(setvar "osmode" $$mpt_osmode)
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(vlr-remove $$mptReactor)/ u: T E/ ]$ |% p" `
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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: "))))1 k8 T. y0 i" C4 Z+ H
(setq mx (/ (+ (car b) (car a)) 2.0))* z" V! _6 G& q$ P+ o
(setq my (/ (+ (cadr b) (cadr a)) 2.0))
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(setq mz (/ (+ (caddr b) (caddr a)) 2.0))- ?" U: x1 o% q( K7 t' D" w
(setq $$mpt_osmode (getvar "osmode"))
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(setvar "osmode" 0). B3 E- f$ P) T( z5 z0 J
(setq $$mptReactor (vlr-lisp-reactor data '((:vlr-lispEnded . recover_snap))))
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(setq pt (list mx my mz))- H0 V) D3 W1 u2 G7 j, z
)
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;;******************************************************! l; O$ @. @& @( R; N6 C
;;预定义一些函数4 z: y2 l& M3 a1 W# k
;;定义平方函数
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(defun sqr (x) v0 V% ~, T5 [4 n) v q. p
(* x x)$ k" Q2 \) A* Y7 D% n
)
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+ Y$ X6 K& S1 k v* S, f$ x
;;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)). Z5 }6 X; o1 l# C+ Q& Y6 `
(if (/= a 0)* v4 Z$ v0 L, L6 M Y. h
(progn
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(setq t1 (- (* b b) (* 4 a c)))5 U4 E. Y2 t, O. b
(if (>= t1 0.0)
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(progn# Y4 h! [) l, B3 s; _5 E9 s: K
(setq t2 (sqrt t1))
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(setq x1 (/ (- t2 b) (* 2 a)))
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(setq x2 (/ (- 0.0 t2 b) (* 2 a)))
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(list x1 x2)
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)
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(progn
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(alert "\n根是复数.")
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(setvar "cmdecho" oce): S! \4 Z v- u- C. O: d
(quit)3 j9 ?5 T- F) t5 Q2 k0 Q
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)
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(progn
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(if (/= b 0). \3 X+ t' L/ n
(setq x1 (list (/ (- c) b) (/ (- c) b)))
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(progn" T" }9 W9 y' j2 U" R
(if (/= c 0)8 x' t* h2 l- w: q
(progn) }! e; N: _/ J& \
(alert "\n无解")! ?5 [2 K$ }( s4 [$ q! u0 Q0 v/ L6 D
(setvar "cmdecho" oce)( }# }" y) Y! I6 `, X7 `
(quit)
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)( [5 c( o9 Z2 F* ~
(progn
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(princ "\n无穷多个解")7 I9 K* W# X9 C0 L3 t
(list 0.0 1.0); D3 r3 D( i* `/ o: N# Y" x
)
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)
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)
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)
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)
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)
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;;;*************************************- T* H A" H! l! x/ i/ b( ]( ^
;;;取点,并进行座标转换以及判断和坐标交换7 W8 O3 F. ] n, \# z# _' r
(defun C:aaa (/ p1 p2 p3 p4 pch pm dm pm1 pm2 k1 k2 k3 k b1 b2 b3 oldmode oce xxx yyy zzz
/ H* s4 ^6 |- ~
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 ()3 W9 y- @! O& E3 S. z) q
(graphscr)
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(setq oldmode (getvar "osmode"))( \% v. P5 z0 g0 T
(setq oce (getvar "cmdecho"))$ o) `* r+ C: I8 v
(setvar "cmdecho" 0)& K6 I: U; }9 r" b* Q
(VL-LOAD-COM) A8 m4 [8 P/ D4 G0 |; q
(setq AcadObject (vlax-get-acad-object)' I5 ?/ H, M6 V5 s" Q5 b
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 list4 f) t9 r: E: Y* x+ N
;;cadr:Returns the second element of a list( i6 \" W5 X$ U' `( L2 r- s
(setq p1 (list (car p1) (cadr p1)))3 o1 b9 q3 |. S: t; d. d/ C
(setq p2 (list (car p2) (cadr p2)))( a4 D' s- r' `. n! S" J4 e
(setq p3 (list (car p3) (cadr p3)))
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(setq p4 (list (car p4) (cadr p4)))+ l8 B% @# J9 [: b- Y
;;定义两矢量之差----------------------5 \7 ]) B- Q: Y* c' w
(defun sub (x y), s) ?' v; m7 {1 u! @8 o
(list (- (car x) (car y)) (- (cadr x) (cadr y)))
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)
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;;定义矢量之叉积,即二阶行列式之值-----3 x" Y+ t9 ]* ?
(defun det2 (p1 p2)- ?( \. n: T d0 W( U$ ?0 Q F! {
(- (* (car p1) (cadr p2)) (* (car p2) (cadr p1)))
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)
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;;定义三点的行列式,即三点之倍面积-----
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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)' |& w7 f. t& |( E, C
(setq x (abs (- (angle p1 p3) (angle p1 p2))))* M% }% T$ ~0 w! c- S
(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)
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(setq x (- (* 2 pi) (+ (ang p1 p2 p3) (ang p1 p3 p4) (ang p1 p4 p2))))2 H* d* a. I$ p8 z
(if (< (abs x) 1e-8) (setq x T) ))

复制代码

wenwengg · 发表于 2010-1-5 10:00

;;------------------------------------4 p- ^4 Z" q% r6 M5 }' n/ [( B7 |, ~
;;进入程序主段------------------------) \; _ m: F O* Z& M7 V
(cond ( (= 0 (* (ang p1 p2 p3) (ang p2 p3 p4) (ang p3 p4 p1) (ang p4 p1 p2)))
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(progn (alert "有三点在同一条直线上\n请重新输入") (setvar "cmdecho" oce) (princ)))2 ~+ w) k* _1 D+ i1 }+ ]
( (or nil (inner p1 p2 p3 p4) (inner p2 p3 p4 p1) (inner p3 p4 p1 p2) (inner p4 p1 p2 p3))
f' x+ v7 Z* X. \5 _
(progn (alert "这是一个凹四边形\n无解") (setvar "cmdecho" oce) (princ)))
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(t ! R- G8 G% r/ s& Z! c/ f, T% l
(progn8 d1 J* w/ m- A5 _, J9 z
;;判断3、4点是否在同一边，否则交换2、3; u9 N: i: }8 O) T
(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)))& I2 l( [5 y K$ e% a% e
;;交换坐标，使之成为顺序排列----------
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(setq pch (same p1 p2 p3 p4)). r2 X/ \* G& k. H; Q- w
(setq p2 (car pch) p3 (cadr pch))
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(setq pch (same p1 p4 p3 p2))
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(setq p4 (car pch) p3 (cadr pch))
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;;取中点为原点------------------------
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(setq pm (midp (midp p1 p3) (midp p2 p4)))$ Q) Y) t9 J8 k) M3 e$ A
(setq pm (list (car pm) (cadr pm)))' \, H& i3 L8 y- `) W$ x! v
(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------------------------3 w& `; T8 v. i
(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----------------, ]- G! \# P# B( p+ i: Q2 B
(setq dm (distance (midp p1 p3) (midp p2 p4)))
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(if (< dm 1e-8)7 |' ~3 t: _& k' H* Y6 ]9 ^3 C
(progn
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(if (and (< (abs (- (ang p1 p2 p4) (/ pi 2))) 1e-8)1 I) D8 Q8 c1 v
(or nil (< (abs (cos (angle p1 p2))) 1e-8) (< (abs (cos (angle p1 p4))) 1e-8)))3 C9 E/ C s7 N& ?1 R# s
(progn7 B4 C7 {3 I. w
(princ "这是一个平行xy轴线的长方形")
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(setvar "osmode" 0)6 j; a& E% s8 ~& n6 _4 `" g0 k
(command ".ucs" "O" pm)! _4 F% y. k2 ~) ?1 u
(command ".line" p1 p2 p3 p4 "C")
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(command ".ellipse" "C" '(0 0) (midp p1 p2) (midp p1 p4))+ G8 P" B' w. l/ ]
(command "ucs" "P")
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(setvar "osmode" oldmode)
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(setvar "cmdecho" oce)# W4 R6 q0 W# X
(princ)
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);;判断是不是平行xy轴线的长方形----9 ]1 ?1 }4 G5 v- E: }
(progn/ B4 o% o5 {) t9 A
(if (or nil (< (abs (cos (angle p1 p2))) 1e-8) (< (abs (cos (angle p1 p4))) 1e-8))) R. w4 z: F, t+ y
(setq p1 (rot90 p1) p2 (rot90 p2) p3 (rot90 p3) p4 (rot90 p4) yyy 1)
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(setq yyy 0)1 D$ w! j/ L1 }' w U
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(setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))9 o2 `! N: |* D
(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)))6 q* i9 \' [ o
(setq bb (- (sqr b1) (sqr b2)))
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(if (and (< (abs (- (ang '(0 0) p1 p2) (/ pi 2))) 1e-8)
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(< (abs (* (sin (angle p1 p3)) (sin (angle p2 p4)) ) ) 1e-8))
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(progn0 U E. T9 s5 M2 }, P o
(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))2 A; \- V" {2 Z2 b
(setq rmin (/ (distance p1 p3) 2) rmax (/ (distance p2 p4) 2) xxx 0)
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(setq rmin (/ (distance p2 p4) 2) rmax (/ (distance p1 p3) 2) xxx 1))
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(alert "这是菱形,在这个方向有多解!\n请给出一个距离,如果距离大于半对角线长,\n将给出一个指定的内切椭圆")/ D5 l; @, M* x' n/ S
(setq short1 (getdist "\n请输入一个距离:"))
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(if (<= (- (sqr rmin) (sqr short1)) 1e-4): E6 q4 A& A) s' S% p1 o" [/ U
(setq short1 (/ rmin 2)))
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(setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) ) Z: b8 C) r, O$ Y9 \
(if (or nil (< short1 1e-4) (< long1 1e-4) (< (/ short1 long1) 1e-4) (< (/ long1 short1) 1e-4))( |# M9 P. `. }$ K' Z# x2 b
(setq short1 (/ rmin 2)) ); g; A- c2 `1 @) r6 O
(setq long1 (/ (* (sqrt (- (sqr rmin) (sqr short1))) rmax) rmin) )
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(setvar "osmode" 0): b. M. M; [ S
(command ".ucs" "O" pm)
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(command ".line" p1 p2 p3 p4 "C")2 p/ T# h- E8 z
(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))3 N, l- i9 O" E$ \: ^6 L
)* f; f. V4 q. ]8 E+ Y& B
(setvar "osmode" oldmode)4 z1 H' \6 h2 Q7 M7 m' C! h. b1 v
(setvar "cmdecho" oce)" X7 E& Z( m M3 d% P8 C# ^
(princ)
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);;判断是不是平行xy轴线的菱形---
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(progn# Q* I9 Y# U: p& K5 k3 w
(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))- v. m- P) ?+ b) A
(progn + z% O/ |1 ~) o& R I
(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)): N, ]0 c4 q$ a; v( |
(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")
# x4 O3 K6 U, U
(setvar "osmode" 0)* T" C& c7 Z3 ?( x
(command ".ucs" "O" pm)- H f' ^9 I7 ~5 K' ^7 u- e
(command ".line" p1 p2 p3 p4 "C")5 A6 C9 v6 E" r# j
(command ".ellipse" "C" '(0 0) (polar '(0 0) 0 long1) (polar '(0 0) (/ pi 2) short1))) K: y4 Q3 o( Z9 w3 |0 O! M
(command "ucs" "P")9 c- O& @# h5 @6 X3 w
(setvar "osmode" oldmode)5 r6 I; }8 o. p- L& ^' T/ w
(setvar "cmdecho" oce)
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(princ)
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)
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)/ s) P/ {1 u- \0 c6 |9 ^9 I o
)+ R L) U: ]& H$ j* Q- ~
)

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)): N% { N3 x( M
(if (< (abs (cos (angle pm1 pm2))) 1e-8)) [8 k: V0 P: e
(setq p1 (rot90 p1) p2 (rot90 p2) p3 (rot90 p3) p4 (rot90 p4) xxx 1)* X+ m2 @8 B# R7 \5 @
(setq xxx 0)% p" t" J+ s- u" A$ ^/ a/ E3 X5 H
)+ B2 k, S$ @( Y; d0 {5 p% L7 @
;;定义重新排列点序列函数--------------$ q1 M' k' ]8 ~ k( K
(defun rearray (p1 p2 p3 p4)
# t* y! p6 @+ ~
(cond ((< (abs (cos (angle p1 p2))) 1e-8) (list p2 p3 p4 p1))
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((< (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))+ f4 O2 K: x2 q4 C4 t" I! B
(t (list p1 p2 p3 p4)) ) )6 K! |9 U) \0 Y. Z. n8 z
;;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))5 A! F( O% s0 F
(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))1 @1 \6 [7 a4 v9 I$ n- |: }
(princ)3 N0 j& ^' X8 s/ z2 j0 Q
)
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;;判断是不是梯形----------------------& S% _4 k! Y2 M5 f5 @& f
(cond ((and (< (abs (sin (- (angle p1 p4) (angle p2 p3)))) 1e-8)+ _2 U: I. b5 [ } k6 `! c/ p
(< (abs (sin (angle p1 p4))) 1e-8))# L( P1 f; X. m1 E4 u' w" E5 x
(progn
% p3 }' |- K; n' f3 ^& [
(setq pm1 (midp p1 p3) pm2 (midp p2 p4))
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(setq dm (midp pm1 pm2))
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(setq intp (inters p1 p3 p2 p4))5 z4 V3 P# L4 u s+ D+ C' w
(setq do (inters intp (polar intp (/ Pi 2) 1) pm1 pm2 nil))( q4 z! K* o6 R( F
(setq p23 (inters do (polar do (/ pi 2) 1) p2 p3 nil))
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(setq 0.5h (distance do p23))
% j' M1 |5 s$ x3 l. L) L/ b
(setq b1 (distance do (inters do p23 p1 p2 nil)))
" m- ]8 J0 J" l: Q3 Y
(if (<= (- b1 0.5h) 1e-6)
0 Z. X- B% V8 j
(progn0 H9 e. E. E" K/ o: D% g
(alert "在这个方向的梯形无解"). |! P/ ~2 t; m! B! w& t; Q
(setvar "cmdecho" oce)
8 u# f: B" d) f# [, Z8 P* `* p: ]
(setq xxx 17)/ [( S1 p# p# T
(princ)+ n2 H! Y% ~( ]
)
9 |, ^- U; m% g8 h, h" d0 F
(progn : t9 D9 a" R8 |7 ~8 _( a
(setq b2 (distance do (midp p1 p2)))
4 u! k: L* Y6 m% Y
(setq b3 (/ (* (sqrt (- (sqr b1) (sqr 0.5h))) b2) b1))( v+ u5 z6 V, h4 ^% [
(setq long1 b3 short1 0.5h)
2 \" x0 n5 [+ a F
(if (= 1 xxx)) U, e+ R, t# ~
(progn
1 ~4 M( g3 A; W; X) r( N' B
(setq long1 0.5h short1 b3)( i/ U; `4 [) P8 a
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4) do (rot-90 do))
0 x6 o. \5 a9 G; o; {
), s# C7 G8 b( S
)
) R9 F& v: ?+ C! `
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))% P: w s/ G+ L/ j: q7 n; w
(progn1 }& p k1 O) p @! p
(alert "这个方向的梯形无解")
) u+ n- ]7 @, p2 L3 e3 c
(setvar "cmdecho" oce)' C+ p/ i8 H f: b; k: H
(setq xxx 18)
3 {$ q$ m6 p/ j- ]. x' N
(princ)
2 V1 k8 Z( T/ S5 @) J! q
)
' c% Q+ O/ P; b s3 M' b
(progn
! Y/ s+ U6 j8 I/ G3 i( {9 s
(setvar "osmode" 0)
1 `* K+ {: c7 J& ^$ U% n
(command ".ucs" "O" pm)
0 ?1 }! p( R& B# A4 D; |7 S: y# @
(command ".line" p1 p2 p3 p4 "C") M3 ^! F; o! B
(command ".ellipse" "C" do (polar do 0 long1) (polar do (/ pi 2) short1))
7 I# h6 p# Q4 x4 b4 b) c9 H; N/ M2 Q
(command "ucs" "P")) K* a1 q) J7 z! G. L- _: n+ k
(setvar "osmode" oldmode)
/ s% H6 V( Y+ C
(setvar "cmdecho" oce)1 Z9 C* U( n( [, k% S
(setq xxx 19)
1 n2 J. l" R% b# P: Q0 G" H ]5 M
(princ)
8 g" l- u- w5 Z# ~& F# j
)5 V1 K/ \8 M" u3 H$ r4 K
)! E% g5 v: [+ H# d; C
)
$ e6 E# b; J3 I4 |+ K- C) t
), Q3 v/ E4 d! w: U5 m: x' F; u
)1 l- s- E! R; G1 D! k
)
/ b9 }, I1 }4 b9 P; n: \" E( _& K
( (and (> (abs (- (ang (inters p1 p3 p2 p4 nil) p1 p2) (/ pi 2))) 1e-8)# q4 \( r# M/ _
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8))
; o( l) M J6 F7 i7 o, T* c% Y
(progn$ \0 a( r6 H, |
(alert "斜筝形在这个方向无解")& v5 I( @: V, J' K8 u( ] W
(setvar "cmdecho" oce)/ J- S3 t _5 {( }! X
(setq xxx 19)
4 E9 T5 }" z6 Z( r, B) k1 e: W8 Y
(princ)
3 {1 q2 [9 w8 A6 F5 U/ [" P& F
)
' M4 K- _/ P+ r6 _ k h
);;对角线在X,Y轴方向的斜筝形无解, w! x0 E% O: _' J
( (and (or nil (< (abs (cos (angle p2 p4))) 1e-8) (< (abs (cos (angle p1 p3))) 1e-8))
* N1 L1 ]& o/ n4 K
(< (abs (sin (angle (inters p1 p3 p2 p4 nil) '(0 0)))) 1e-8)) G6 E0 o& K# \: f2 `1 z' T. `
(progn! \/ ]3 t. C' d- w1 X
(if (< (abs (cos (angle p1 p3))) 1e-8) 7 s4 y7 h4 Y7 v; V
(setq pch (list p1 p2 p3 p4) yyy 425$ h9 u) B* h' Y- V
p1 (cadr pch) p2 (caddr pch)
8 @2 r, e' s8 w8 b
p3 (cadddr pch) p4 (car pch))
A& l7 z) G+ `
(princ)
# K$ d$ |' z" E) ~) n! ^
); f% T7 X! v) J
(setq pch (list p1 p2 p3 p4))
1 F0 `" d6 _) V4 A6 @: r4 g
(setq intp (inters p1 p3 p2 p4))5 P1 W2 M" P' r; V6 ^
(setq k1 (tank p1 p2))
/ ]7 d( h+ ~6 T3 O
(setq k2 (tank p3 p2))+ [( ?% @! W$ O. e0 }
(setq dm '(0 0))8 a" b" q, U3 Q3 n8 c$ [3 F
(setq sx1 (inters dm (polar dm (/ Pi 2) 1) p1 p2 nil)). U% i+ Q- ^$ l2 M
(setq sx2 (inters dm (polar dm (/ Pi 2) 1) p3 p2 nil))0 a* d1 |" ?. O6 Y. ]
(setq b1 (distance dm sx1))1 C' k- y' \/ H. I* N
(setq b2 (distance dm sx2))
& o3 C% _& Q4 h
(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")" K& S/ u" O; W) @5 R+ B5 ]( ~
(setq xx (getdist "\n请输入一段距离: "))
: z9 E( W8 x. p
(setq b1 (+ (* k1 xx) b1))

复制代码

wenwengg · 发表于 2010-1-5 10:02

(setq b2 (+ (* k2 xx) b2))/ x0 i- ?: [3 K
(if (or nil (< (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) 0)
( w/ l6 E/ Z6 J6 a* U6 Y5 B
(< (- (sqr b1) (* (sqr k1) (sqr (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)) ) ) ) ) 0) )
/ n/ B# N2 H% z2 k' W
(progn: C2 U$ I; d" b) H0 {
(setq sy1 (- (/ (ang p2 p1 p3) 2) (ang p2 intp p1)) )8 _4 c$ G" E3 r1 Z: _- H
(setq sy2 (* (distance intp p2) (/ (sin sy1) (cos sy1)) ) ) 9 g, }5 P8 A% Z& X/ m- X
(setq xx (abs (- (/ (distance (midp p1 p3) intp) 2) (abs sy2))) )0 v. B! k l2 p$ O0 Z7 T+ _/ f
(setq b1 (+ (* k1 xx) (distance dm sx1)))
Z2 S, l) f+ D, Q$ e3 f! G
(setq b2 (+ (* k2 xx) (distance dm sx2)))2 c; v& J5 g( V- F3 t
). v9 @6 N0 u* K2 ~( W2 w- n
)
$ I' P' y5 j! X% v
(setq long1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
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(setq short1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))
# d3 P4 p1 P# A3 M0 L
(setq cen1 (list xx 0))0 n% Y' d9 K/ \5 L$ O
(if (or nil (and (< k1 0) (< (car p1) 0))
$ P. F, l# x$ d+ R6 @8 G8 `
(and (> k1 0) (> (car p1) 0)))
' ?8 ?9 p1 U# m3 L. F% p6 V. N
(setq cen1 (list (- xx) 0)))
0 F3 `3 U9 O+ _5 E; g
(if (= 1 xxx)
+ k8 F# q7 S5 I9 ?8 p
(progn5 ?5 x/ e- q2 \9 Z: s l" z& w& v
(setq cen1 (rot-90 cen1))
3 `) J, N$ O. M$ w& |" k) W. D( L
(setq long1 (sqrt (- (sqr b1) (* (sqr k1) (sqr long1)))))* S/ n8 @: f/ D
(setq short1 (sqrt (/ (- (sqr b1) (sqr b2)) (- (sqr k1) (sqr k2)))))
. H# z u: m }! w8 O& E
(setq p1 (rot-90 (car pch)) p2 (rot-90 (cadr pch))
# b) I% o X; q; ^( d- _6 h
p3 (rot-90 (caddr pch)) p4 (rot-90 (cadddr pch)))& ^0 E* j% [$ R6 x( ^ ~0 ]0 o- v4 N; X/ |
); u9 x- Y+ p( T$ Z$ Q' K
), {. a0 \& w, z0 }# M5 x8 C
(if (or nil (< short1 1e-5) (< long1 1e-5) (< (/ short1 long1) 1e-5) (< (/ long1 short1) 1e-5))
! u0 g- V8 c: x1 L7 Z
(progn4 W7 q2 q7 w4 y0 N2 \
(alert "你输入的距离不合适!")9 [2 o6 I; U, f1 ^, m( o
(setvar "cmdecho" oce); _4 I/ A1 w/ A& k# D8 R
(setq xxx 18)
% \8 Q, T6 R5 v) I l
(princ)
: S0 S- U! P! U: Q% |* l3 e( a6 \
)8 o2 `- f# h0 X1 q9 l
(progn- r4 W% l( Q# @- [
(setvar "osmode" 0)1 t; [8 T3 {. Z# m$ @
(command ".ucs" "O" pm)
+ S3 J6 {/ ?4 l0 j: Z
(command ".line" p1 p2 p3 p4 "C")
( p7 `4 r" d2 c7 A. ?6 w0 h
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ Pi 2) short1))
5 Q' H( j- V, \/ Y( ?, l
(setvar "osmode" oldmode)6 w- n5 j, I/ V; W, \; y
(setvar "cmdecho" oce)
; @* h0 y/ U8 `" _ h
(princ)
7 o+ A! Z& j0 r1 o" v
)
; }+ ?2 M; r' o0 i5 a
)
3 F) ?6 U, F8 S' X0 W% H2 o
)) # c4 M% a* s) C+ F$ u* W% z, w
(t (progn
- K* p) ^5 t( V
;;计算直线截距和斜率------------------" M9 M% W @- N _8 h
(setq b1 (/ (det2 p1 p2) (- (car p1) (car p2))))
/ ~. b- X: @! t, X1 i+ g
(setq b2 (/ (det2 p2 p3) (- (car p2) (car p3))))0 y+ k% S, z" K& J
(setq b3 (/ (det2 p3 p4) (- (car p3) (car p4))))
) D5 y) b/ e) I- I4 J l- H
(setq k1 (tank p1 p2) k2 (tank p2 p3) k3 (tank p3 p4) k (tank (midp p1 p3) (midp p2 p4)) )5 [8 q$ p$ i, f- X8 K. y
;;定义求解椭圆长短轴线函数------------/ ?. e( i7 m W6 ?
(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)) f! \) @ N- \' Y# A0 Y5 V- e" h
;;(defun solvef (k1 k2 k3 k b1 b2 b3)
5 h( m) o* l0 O7 R2 M8 \1 W
(setq kk1 (- k1 k) kk2 (- k2 k) kk3 (- k3 k))3 ]$ ^3 g7 ^: L( E* g
(setq a (+ (- (* (sqr k1) (sqr kk2))) (* (sqr k1) (sqr kk3)); l: s) y |- b& u
(- (* (sqr k2) (sqr kk3))) (* (sqr k2) (sqr kk1))+ X l: B# w' z9 r
(- (* (sqr k3) (sqr kk1))) (* (sqr k3) (sqr kk2))))/ C+ p* N: [; N8 x" G4 v( ?* x
(if (< (abs a) 1e-8) (setq a 0) (princ))& C4 M ?7 x- {, r
(setq b (+ (* (sqr k1) (* 2 b2) (- kk2)) (* (sqr k1) (* 2 b3) (+ kk3))! I z5 g' P; y- c; N* g) ?
(* (sqr k2) (* 2 b3) (- kk3)) (* (sqr k2) (* 2 b1) (+ kk1))
" L; X0 L& J/ Z* ^9 h% E
(* (sqr k3) (* 2 b1) (- kk1)) (* (sqr k3) (* 2 b2) (+ kk2))))8 K/ R9 e P# l7 W4 n$ z
(if (< (abs b) 1e-8) (setq b 0) (princ))- w _$ E8 Q+ X% o3 |4 }
(setq c (+ (- (* (sqr b1) (sqr k3))) (* (sqr b1) (sqr k2))
0 R- Y) e6 M! D9 s
(- (* (sqr b2) (sqr k1))) (* (sqr b2) (sqr k3))) A& U* q) F5 ]. J+ B8 @
(- (* (sqr b3) (sqr k2))) (* (sqr b3) (sqr k1))))3 W8 L, F0 A( [' @4 W7 v* O
(if (< (abs c) 1e-8) (setq c 0) (princ))
. B" \. f$ c' U' A, q
(setq g1 (roots a b c) g2 (cadr g1) g1 (car g1))& n( G+ e* B$ a- M
(setq s11 (sqr (+ (* kk1 g1) b1)) s12 (sqr (+ (* kk2 g1) b2)) s13 (sqr (+ (* kk3 g1) b3))1 v# L h& s& L2 H; I6 {7 f0 p
s21 (sqr (+ (* kk1 g2) b1)) s22 (sqr (+ (* kk2 g2) b2)) s23 (sqr (+ (* kk3 g2) b3))) - j4 h o. Z6 v- L0 ?& b* k
(defun solvex (k1 k2 k3 s1 s2 s3)% ?7 n! j) x6 B- W
(cond ((= (sqr k2) (sqr k3)) (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
! _& c: I" H, ^$ W0 G/ [+ R: d
((= (sqr k3) (sqr k1)) (setq sss (sqrt (abs (/ (- s2 s3) (- (sqr k2) (sqr k3)))))) ) x& X: Y9 f9 N' l r+ N
((= (sqr k1) (sqr k2)) (setq sss (sqrt (abs (/ (- s3 s1) (- (sqr k3) (sqr k1)))))) )
0 `& Q- `8 p/ k/ x* B1 Q6 [1 r
(t (setq sss (sqrt (abs (/ (- s1 s2) (- (sqr k1) (sqr k2)))))) )
, \4 f2 u* v! W1 K3 h: R9 w J- W
)
! ~4 b% I- {* t0 \: ~+ E' `8 D7 h
)
2 q5 m( G( W- f
(setq sx1 (solvex k1 k2 k3 s11 s12 s13))% O+ H5 u. f3 ^& c4 y8 J; p4 q9 }
(setq sy1 (sqrt (abs (- s11 (* k1 k1 sx1 sx1))))): t) O; A' h @ J$ k
(setq sx2 (solvex k1 k2 k3 s21 s22 s23))
( j# Z; A, q! `. A! c% X. e
(setq sy2 (sqrt (abs (- s21 (* k1 k1 sx2 sx2)))))
; C$ S" S" F, ?
(list (list (list g1 (* k g1)) sx1 sy1) (list (list g2 (* k g2)) sx2 sy2))
/ f- k# q! M5 b/ m
)3 W/ p% D% @; A: V
;;计算椭圆的长短轴和中心--
, V: \5 R- U5 A7 L5 h
(setq so (solvef k1 k2 k3 k b1 b2 b3))
5 Z8 K" @# _( w$ ]. h
(setq cen1 (car (car so)) long1 (cadr (car so)) short1 (caddr (car so)))/ S* q1 j" s8 q
(setq cen2 (car (cadr so)) long2 (cadr (cadr so)) short2 (caddr (cadr so)))
( C& U! p: g4 R
(if (= 1 xxx)
- g4 w3 ^- E6 X3 C4 G5 [) U: g$ {
(progn
( `: P; i/ T9 i. L! x
(setq cen1 (rot-90 cen1) long1 (caddr (car so)) short1 (cadr (car so)))
4 w; l0 ^1 |3 T. E# ?2 K
(setq cen2 (rot-90 cen2) long2 (caddr (cadr so)) short2 (cadr (cadr so)))
3 B5 g. p% A+ b7 p) a( R
(setq p1 (rot-90 p1) p2 (rot-90 p2) p3 (rot-90 p3) p4 (rot-90 p4))
0 i# \0 v/ R' m* V
)
: ^1 l+ i* W- Y' {3 j* x. z
)3 ~$ | m" ?, }/ j, g
;;判断中心点是否在四边形内0 [0 _$ n# Z6 x5 v- b
;;并且判断所求是否满足要求7 P7 X' n* _* L3 V
(if (and (and (> short2 1e-5) (> long2 1e-5) (> (/ short2 long2) 1e-5) (> (/ long2 short2) 1e-5))
9 K' H# l3 u( J& ^! J) Z
(or nil (inner cen2 p1 p2 p3) (inner cen2 p2 p3 p4) (inner cen2 p3 p4 p1) (inner cen2 p4 p1 p2))). |- u( z( H* x
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
8 c6 o0 e& \1 G' N
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
) R' e$ g; K0 A. n
(setq xxx 2)
) m1 ^' w0 T' f3 Z* f/ j
(setq cen1 cen2 long1 long2 short1 short2 xxx 3)
# n' b: h; i4 D1 _# o
)/ B* r" A R# ?- J6 Q* F
(if (and (and (> short1 1e-5) (> long1 1e-5) (> (/ short1 long1) 1e-5) (> (/ long1 short1) 1e-5))
9 V# I, s% u7 v- X$ m
(or nil (inner cen1 p1 p2 p3) (inner cen1 p2 p3 p4) (inner cen1 p3 p4 p1) (inner cen1 p4 p1 p2)))
* S4 r v/ B) q" V5 l G
(setq cen2 cen1 long2 long1 short2 short1 xxx 4)
X. I) w% Z, ~% ]1 W
(setq xxx 5) & N- F, [. e1 ]$ e3 ?' @
) " y \. I; U* j$ K
)) G$ B8 v8 H; t! m. z b
;;画椭圆------------------! P' J: F! p' ~: D$ e' K) O
(setvar "osmode" 0) D7 A9 X. R6 M9 o. p+ t
(command ".ucs" "O" pm)$ e& I( Z% X) A3 M8 i8 n
(cond ((= xxx 2)
) Y0 \5 n6 q9 |- q5 P. R" r9 ]
(progn
3 e; F2 ~6 m e% S+ h* J4 A/ {6 D3 f
(command ".line" p1 p2 p3 p4 "C") ; s9 d% v6 g N# l) D' n8 A4 B
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))4 v: ~7 B' O! u% v+ T* V. [
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
& d$ j# G; j- j2 }
))! t0 s5 X. `! _0 _ v$ w
((= xxx 3)
' P y5 X9 f# p! g
(progn& T1 y9 W$ d$ |0 z9 c% b
(command ".line" p1 p2 p3 p4 "C")
3 C+ K- e( t- r$ ]3 F
(command ".ellipse" "C" cen2 (polar cen2 0 long2) (polar cen2 (/ pi 2) short2))
4 P" u: [, w1 c1 A
))
7 G' V5 v; v# ~. N: A7 `$ k: A
((= xxx 4)% a1 |5 p/ c7 v5 K9 H# @/ |7 p* V) B
(progn
8 b5 R& J5 p6 c4 q N
(command ".line" p1 p2 p3 p4 "C") 7 V$ Q' H) i' D
(command ".ellipse" "C" cen1 (polar cen1 0 long1) (polar cen1 (/ pi 2) short1))
3 Y9 A) K# r9 p. j
))
% O5 {. ?8 y! r- j( q
((= xxx 5)
# j4 Z" Q1 l6 Z% A# T
(progn
- m% q* L) C; ~- d# K9 z
(alert "椭圆轴长或比率太少,无解")6 x* r% W8 M% J0 I1 L& t
(princ)
) O8 \" z* c! [6 [
))
) j: c1 y, n1 N
)
/ n6 _ \) D9 w$ R7 A: O) Q
(command "ucs" "P")4 o6 c9 d8 h5 t; ` H* Q; Y
(setvar "osmode" oldmode)) N) _, d8 a6 y9 X) X
(setvar "cmdecho" oce)
* A$ K. h9 T8 K
(princ)5 T0 [- D# [/ K% r* h8 \+ U( e
)9 a/ ?& F% W" R" V. }' S
)+ ?( T8 K& @* x
) ( [5 O/ t( o1 S3 u
)- W6 A8 Y2 S. m
)$ E4 L* ^. I% Q9 Q: x6 w" R% d
)- v% Q& e6 ^4 [2 c' L ]) z
)
3 w5 A0 o" F$ ~' h
); ?3 p# ^- N& s! l
)

复制代码

消失的部落 · 发表于 2010-1-5 11:07

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