齿轮轮齿渐开线、螺栓、弹簧autolsp源程序大公开: ? [+ t! K6 y) T" _; d- t% o. \
6 o# l' G$ Q1 p( d: {9 R6 V不再神神秘秘,齿轮轮齿渐开线、螺栓、弹簧autolsp源程序大公开,源程序见下面:1@,H$y)P4[-Q' {8 y! I! `* c. ?4 Y: E9 c
一、齿轮轮齿渐开渐开线
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7 z* H9 C4 s9 w9 t[复制到剪切板] [ - ]9 ]3 f; U/ J+ b; r! W9 y5 |
代码:
( k; Y2 e9 ^% y7 v* P(defun c:gear(/)+ M" P4 o1 V. J4 z; k
(1 h' a! A7 W) q1 q% \" j
setq: ]$ V5 ^% L6 A2 |4 d
p0 (getpoint"输入齿轮中心p0: ")3 M" y$ `. c" Y+ Q$ q
m (getreal"输入齿轮模数M: ")
+ i, I& F2 O$ K9 Hz (getint"输入齿轮齿数Z: ")8 G& O# m, y( R
ha 1
1 A" \+ Y, D: N% m2 Wc 0.25# C) r9 H$ z, U( ~1 D/ q0 R
a (/ pi 9)
" q8 G5 w6 f$ n' q* n2 R% vra(/ (* (+ z (+ ha ha)) m) 2)' N/ i. ~. f; C9 t; ?
rf(/ (* (- z (+ (+ ha ha) c)) m) 2)8 A2 m, D5 k2 P
r(/ ( * m z) 2)* X3 y" N" v. ^
rb ( * r (cos a))
; j4 H/ S8 W9 nri rb
; r4 M) U. L/ F# A# B8 u/ vang 0* \6 L1 m; y8 W3 [! u5 b0 ^( ], k( J
g (polar p0 ang rb)
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(command "circle" p0 ra)1 @% s% Y/ p( M4 E- X6 q
(command "circle" p0 rf)
/ }: k" Q1 |5 M" A1 S1 o* H' _(command "circle" p0 r)
* T, e# W! Z% r& e( j1 g(command "line" g)
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8 X( ^$ p C2 q. q3 T9 D(while (< ri ra)3 {* q, M; l9 w! s( T P A
(setq
: T g( B( g5 Y0 fang ( + ang(/ pi 360))' {5 n9 E$ ?/ {
ri ( / rb (cos ang))
" ]2 u3 ?& V9 q r: ccta ( - (/ (sin ang) (cos ang)) ang)6 R6 S! p8 Y% }2 S
g(polar p0 cta ri)
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& F) b9 j: F6 J
6 |& a; o; S+ ]- t! V(command g)
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: m. @' ]" c; x(command )
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二、螺旋源程序5 \7 A) m9 D# J
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2 _, L: i L) U代码:
4 l2 j" d4 C* A# D(defun errMsg (s)
$ T8 V/ s! z @( p% k2 {( n Y(if (/= s "function cancelled") (princ (strcat "
3 e" v- T" r( |4 `. ]* N6 ~# UError: " s)))
" B3 R5 k$ Y$ U% j! r; 当命令执行时出现错误' [4 r5 K ^- U
(setvar "cmdecho" ocmdold) ; 例如用户按下了CTRL + C3 @- K% {. x5 c4 n4 P
(setvar "osmode" osmold)1 O) l) g) @3 _5 Z, p
(setq *error* olderr) ; 恢复旧的错误处理
2 Z: Q( c! }7 f(princ)
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(defun c:3Dthread (/ radouter threadpitch threadlength threadangle 4 ]* }3 e/ \# n4 Y4 n6 T
ptStart innerdiafactor radmid radinner ocmdold osmold 4H 5H 6H h6 g6)! O. L) Y* P" i4 y8 c8 A
;-------------------------------------------------------------------
5 [' b( z9 d4 ^+ j9 H; 获取公制外径大小、螺距总长
! B' ^7 ]' q b) {. Y' @8 Q7 o/ w; 然后计算一系列几何点2 B5 q- r! |; ?( [
; 并且关闭对象捕捉、命令回显
/ H7 z/ g- W9 S;-------------------------------------------------------------------* e! P: \3 M0 {4 a& c7 y, C: E
(setq 4H (list 0.0015 0.002 0.002 0.0025 0.003 0.0035 0.004 0.005 0.006 0.007 0.008 0.009 0.010))
. F9 d) M' K# {% Y+ B3 P(setq 5H (list 0.002 0.0025 0.003 0.004 0.0045 0.0055 0.0065 0.0075 0.009 0.010 0.0115 0.0125 0.0135))
: V% g1 _6 g; J6 S. c2 V% {8 Q(setq 6H (list 0.003 0.004 0.0045 0.0055 0.0065 0.008 0.0095 0.011 0.0125 0.0145 0.016 0.018 0.020)) * ^7 P% K: |2 p9 o7 B% U
(setq h6 (list -0.003 -0.004 -0.0045 -0.0055 -0.0065 -0.008 -0.0095 -0.011 -0.0125 -0.0145 -0.016 -0.018 -0.020)) : f1 R: V" p, W/ K/ q. s0 v/ S
(setq g6 (list -0.005 -0.008 -0.0095 -0.0115 -0.0135 -0.017 -0.0195 -0.023 -0.0265 -0.0295 -0.033 -0.036 -0.0515)) L+ i/ x8 F3 l
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(setq osmold (getvar "osmode")) ; 保存调用前的osmode系统变量值5 a' X. Z( E j$ c# R/ ?5 N
(setq ocmdold (getvar "cmdecho")) ; 保存调用前的cmdecho系统变量值3 S4 {% {" e" w' \* J4 S; L" g
(setvar "osmode" 0) ; 关闭对象捕捉 6 Q& _+ u/ V1 x0 ^
(setvar "cmdecho" 0) ; 关闭命令的回显 l# {' B+ I! x( d Y
0 K, l M' h& s$ F" R(setq innerdiafactor 1.5) ; 设置内径系数 h/ Q9 Y2 ]7 y/ I7 Q
(initget 7) ; radmid 必须非零、非空、非负 f& Z3 I' c% k+ M! O
(setq radmid (getdist "* k" L- k$ } c' Z- q" j
公制外径: "))- [' d' E( }0 x- s2 x! H
(initget 7) ; threadpitch 必须非零、非空、非负' ?( G8 \$ G& {, E$ ]7 w- c
(setq threadpitch (getreal "/ U8 b+ A9 r/ k" X- p9 b
螺距: "))
/ K# U" ^% r( C" n) P. Y(initget 1) ; ptStart 必须非空. `" x% V5 K5 a# j7 M. C
(setq ptStart (getpoint "
1 ~3 D; Z8 R9 A8 R; O& k% l, d4 l起始点: "))
/ ~* q4 u s z/ h C& Q(initget 3) ; threadlength 必须非零、非空、非负! F& I3 U, N. j' f: w6 Z. y
(setq threadlength (getdist ") A6 w- W, u4 k# {3 u8 v; q
螺纹总长(Y方向): "))% P g3 Z) P3 C# v0 r2 n
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; 对公制外径添加公差0 v1 J1 S9 O) N' N" z* F3 o+ G7 O8 L! ^
(if (<= radmid 3) (setq order 0) ; 根据公制外径确定公差带中位置1 m0 W" A" u2 c% q% D3 p$ ^
(if (<= radmid 6) (setq order 1)
0 @+ [# Y% N- \: e5 Y' }3 i(if (<= radmid 10) (setq order 2)
& t6 S2 a2 W) Y1 X4 x( M; e(if (<= radmid 18) (setq order 3)
1 B2 Q) D$ X% _1 L1 \$ g/ Y! f(if (<= radmid 30) (setq order 4)! ^) [+ ]" g4 ]
(if (<= radmid 50) (setq order 5)
; `' J; x& e, p4 F% Z5 x(if (<= radmid 80) (setq order 6)5 }) I- i; I d6 a! q* ]5 K' E+ E
(if (<= radmid 120) (setq order 7)
7 p5 ]+ I# W8 G" X$ A" P/ y, O! O0 B(if (<= radmid 180) (setq order 8)2 v" f% x2 T \3 a1 N5 E/ l) o
(if (<= radmid 250) (setq order 9)4 ~$ m8 B" ^2 h6 h) V5 k
(if (<= radmid 315) (setq order 10)+ O6 j2 |8 F: y1 T& ~6 y j
(if (<= radmid 400) (setq order 11)! k0 N" _" y# ~
(if (<= radmid 500) (setq order 12)+ Z" v) b1 _& X2 J6 a* O- K
)))))))))))))# M+ T- N6 h3 b
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(if (< threadpitch 0.25) (setq radmid (+ radmid (nth order 4H))) ; 根据螺距确定公差带5 ^4 \$ M& V! s& r
(if (< threadpitch 0.35) (setq radmid (+ radmid (nth order 5H)))
_, i1 v8 C+ J' I+ ?( t# m v(if (>= threadpitch 0.35) (setq radmid (+ radmid (nth order 6H)))4 R3 V% q1 N. H2 u @# r
)))
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4 ^: I' R5 o1 o(setq h (* 0.866025 threadpitch)) ; 计算齿高
2 E6 y* T H7 U! j' A; t* a(setq radouter (+ radmid (/ h 4))) ; 计算外径
: ^, Z f- T* S7 I* x. ](setq radinner (- radouter (* h innerdiafactor))) ; 计算内径
' h6 k8 N; `: n6 [" d* f' M+ m(setq threadangle (+ 30 0)) ; 计算齿顶角
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(auxithread radouter radmid radinner threadpitch threadlength threadangle ptStart) ; 调用绘制三维螺纹的子函数
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(princ "
! t! h6 ~5 P# A( I' D$ W9 z4 R三维螺纹创建完成")- _) g! `8 X6 `0 J, r" |
(setvar "osmode" osmold) ; 恢复调用前的osmode系统变量值
' B- R& k `$ `, o(setvar "cmdecho" ocmdold) ; 恢复调用前的cmdecho系统变量值& x* O( c7 b' I/ `2 W3 l$ a1 `
(princ)
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(defun auxithread (radouter radmid radinner threadpitch threadlength threadangle ptStart / ttal pt1z ang pt1a6 l0 M4 o0 |2 [) d+ g
pt1az pt3a pt1b pt1bz pt3b pttmp1 pttmp2 pttmp3 pttmp4 pttmp5 pttmp6 pttmp7 pttmp8 pttmp9 pttmp10 pttmp11 pttmp12 tstmp startcone endcone)3 C/ z, V a6 I" U2 l
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;(command "undo" "begin") ; 开始undo步骤7 C2 m5 J7 ]% @, \) _! b
# H. d* H6 {! [& T4 f(setq ttal (+ (fix (/ (abs threadlength) threadpitch)) 3)4 Y& b' s ]6 H9 ?: G7 E
pttmp1 (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (caddr ptStart))0 G. o' q' D- T
pt1z (list (- (car ptStart) (/ radouter 2.0)) (cadr ptStart) (+ (caddr pttmp1) 1.0))
) i2 f' f* R9 J- ]pttmp2 (polar pttmp1 (/ (* threadangle pi) 180.0) 1)
' ]6 |3 D% i, I( i( p9 p7 E4 Apttmp3 (list (+ (car pttmp1) radouter) (+ (cadr pttmp1) (/ threadpitch 2.0)) (caddr ptStart))
% ~5 O; k8 |% P/ b8 ?ang (angle pttmp1 pttmp3)
! c$ |9 w6 G8 w+ ?0 ipt1a (polar pttmp1 (+ ang (/ pi 2.0)) threadpitch)+ y1 b" G# n8 `7 b# N' E
pt1az (list (car pt1a) (cadr pt1a) (+ (caddr pt1a) 1.0))7 d& o, [$ ]- I4 A* X8 i2 o6 o% `. L' E
pt3a (polar pt1a ang radouter)
6 v$ g1 \9 c; F6 J' ~) ypt1b (polar pttmp1 (- ang (/ pi 2.0)) threadpitch)
+ J. G7 T- a2 T2 r6 F6 N2 Qpt1bz (list (car pt1b) (cadr pt1b) (+ (caddr pt1b) 1.0))$ n$ \( S' G% b, l, n7 g
pt3b (polar pt1b ang radouter)1 @" H1 f$ J8 Y% m o
pttmp4 (polar pttmp3 (/ (* (- 180 threadangle) pi) 180.0) 1); K2 q5 Z9 J2 r2 e! ?
pttmp5 (inters pttmp1 pttmp2 pttmp3 pttmp4 nil). f. U7 {' f8 j$ z" p- N) ^
pttmp6 (list (car pttmp5) (cadr ptStart) (caddr ptStart))
5 h( a/ s/ Z- ^pttmp7 (polar pttmp1 (/ (* (- 360 threadangle) pi) 180.0) 1)
9 U9 ?! c& i2 F0 K$ ipttmp8 (polar pttmp3 (/ (* (+ 180 threadangle) pi) 180.0) 1)
, M7 @% U, t6 ^ M8 y% ^pttmp9 (inters pttmp1 pttmp7 pttmp3 pttmp8 nil)9 ^, ~0 w3 r/ g1 B0 c- ]/ _$ }- m7 l
pttmp10 (list (car pttmp9) (cadr pttmp3) (caddr pttmp3))
/ k% ~4 D9 ` g" r9 Ppttmp11 (polar ptStart (/ pi 2.0) threadpitch)3 e) J/ A$ a, G, w) Y3 s# H
pttmp12 (polar pttmp11 (/ pi 2.0) (abs threadlength))
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;-------------------------------------------------------------------
3 k3 F) Q7 e. ^; 绘制两个倒置的并偏移1/2螺距的圆锥
: ]. A" [. \$ c; 这两个圆锥都以中剖面剖分
+ x7 g. v. G* }9 W% ?0 d. v! @; K3 K; 进行并集运算* V( E, P- b) _2 }1 _
;-------------------------------------------------------------------2 J' T/ {* U, [9 e
9 K+ r7 [" m- X# o8 d3 D" z* v2 Z(SETQ startcone "order")) h+ P) |, \2 L! S5 a. Q: A" N! S
(SETQ endcone "Y")
% k( A, `; @- m4 r" u6 a(command "zoom" "w" (list (car pt1a) (+ (cadr pt1a) (abs threadlength)) (caddr pt1a)) pt3b)
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& R; K# z' X" H" X(princ ", X+ }! q2 B9 a3 N2 a
正在绘制三维螺纹,请等待")
8 |' t n/ h$ o' B' M/ o* H1 j5 ~(command "pline" pttmp1 pttmp5 pttmp6 "c")5 S( d o3 W. u1 c. V$ b/ W! q$ s
(command "revolve" "l" "" pttmp5 pttmp6 "")! O( y/ g4 s7 T4 Q$ _8 R5 t
(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp5)$ B2 M2 g6 X9 c. a8 V
(command "slice" "l" "" pt1a pt3a pt1az pttmp3)
2 I- P/ \# j* j' D. F0 P& O$ R(setq tstmp (ssadd (entlast)))* j6 F; H) L" o: S4 u1 u$ U
(command "pline" pttmp3 pttmp9 pttmp10 "c")
8 W W' ~' U4 A# r% P(command "revolve" "l" "" pttmp9 pttmp10 "")
4 L6 l0 a! b1 i/ j& A* `(command "slice" "l" "" pttmp1 pttmp3 pt1z pttmp9); I/ K5 ?5 a+ ^: q- e) Y0 i
(command "slice" "l" "" pt1b pt3b pt1bz pttmp3); D% n4 h1 _; I \9 `5 J
(setq tstmp (ssadd (entlast) tstmp))& u1 o- R2 n. B
(command "union" tstmp "")# A. h. C; q" s, L2 V
w( t2 B7 T J+ E. a, I;-------------------------------------------------------------------/ W0 U; n/ q2 [5 a; i( ]% A# n" a
; 上面的实体被剖切成两份,然后进行镜像以获得螺旋线的螺旋/ @( x4 b& {8 j2 ] g7 V5 B/ a% z
; 单线的高度实际上等于两倍螺距,但是超出或者是在内部或者是% A K7 [) n9 u5 {3 U$ \- R- n
; 在最后一步被切除0 E1 j2 |6 s+ c% P* f
;-------------------------------------------------------------------
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(command "slice" tstmp "" "xy" ptStart "b")
6 ]$ e5 V7 f$ G! \4 G3 f, [1 p(setq tstmp (ssadd (entlast) tstmp))
: S& X& S3 X% S+ [' Z/ h( Z(command "mirror" "l" "" pttmp1 "@10<0" "y")
) ^# b9 ^! c* B# }& a+ s(command "union" tstmp "")- j/ X% ^6 y8 Y! k
/ M b) z d) S* i2 s, j1 d* G;-------------------------------------------------------------------0 V+ s% X6 \1 [# m1 h8 ^
; 螺旋进行阵列操作,然后再作并集(可能会耗费一定时间)
/ X9 S. a. H) v( \# e; 得到的实体再切除到指定的螺旋高度$ p. ^0 Z1 X( g; Y. u* s
;-------------------------------------------------------------------
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(setq e (entlast))
% x% X: y8 Z0 f W(command "array" tstmp "" "r" ttal 1 threadpitch)
% a7 P; x1 |9 |) A(repeat (1- ttal)
4 K3 i9 E# i. @0 x1 h5 {) x/ W. F(setq e (entnext e)5 A5 Y! x( J" |5 t3 h9 K
tstmp (ssadd e tstmp)
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)
: r& r4 s) A" X4 W$ K4 M(command "union" tstmp "")* Y% R* T( Q' Q q3 ]- p9 ~
) O& n+ _* ~. e: N1 d( @
; 若开始创建45度的圆锥9 B7 K9 A* \% t5 k% S5 s
(if (/= startcone "order")
$ c8 K9 q9 w$ t$ b(progn (setq e (entlast))8 K# n, v7 h% ^
(command "cone" (list (car ptStart) (+ (cadr ptStart) threadpitch) (caddr ptStart)) "d" radmid "a" (list (car ptStart) (+ (+ (cadr ptStart) (/ radmid 2)) threadpitch) (caddr ptStart)))
+ Q$ L/ Q: l+ D* O' ^* }/ l(command "union" "l" e ""). S% O" a7 `- n0 R6 N6 Q% r
)
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(command "slice" "l" "" "zx" pttmp11 pttmp12)5 `/ S9 [& ?3 |5 e! u
(command "slice" "l" "" "zx" pttmp12 pttmp11)
" }' ?# I, A$ J0 h5 F y5 d6 p+ R6 P(command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) threadpitch) (caddr ptStart))) * }+ ?8 o+ v; j4 z! l# e# \
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; 创建最小直径的圆柱体,然后与螺旋作交集! G" l) C7 _# m& f
(setq e (entlast))( Z( H* c% ?& f E
(command "cylinder" ptStart "d" radinner "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))9 a$ x2 G' P1 k9 ^9 Q) D, V% S
(command "union" "l" e "")
5 y* h5 C W5 j+ N0 l8 J(setq tstmp (entlast))7 G$ Q/ q; ]4 r% V! h3 o& r
# h1 m0 V) k8 A1 |5 f
; 创建中空的圆柱体7 |& d1 X0 n9 x
(command "cylinder" ptStart "d" radmid "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart))) ; minor dia
* C. g0 ?# {# b2 s, g: I) Q& m(setq e (entlast))
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$ r- b- s, i2 l0 q; 若最后创建45度的圆锥' t( `+ ~9 r# W& Q
(if (/= endcone "order")
- g3 p% @3 P& ~9 A(progn (command "move" "l" "" ptStart (list (car ptStart) (- (cadr ptStart) (/ (- radmid radinner) 2)) (caddr ptStart)))
, _( y6 p' a+ N1 `+ i(command "cone" ptStart "d" radmid "a" (list (car ptStart) (+ (cadr ptStart) (/ radmid 2)) (caddr ptStart))) x7 B8 h/ U, j& D- s
(command "move" "l" "" ptStart (list (car ptStart) (- (+ (cadr ptStart) (abs threadlength)) (/ (- radmid radinner) 2)) (caddr ptStart)))
0 p* r3 A. h* D) `: a(command "union" "l" e "")
. V' `* `" M d* D7 H- t: h K(setq e (entlast))9 f* a9 A3 H! N4 j( T8 S
)) \# B$ w. N/ s! L1 Z2 y: D
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; 从大圆柱中减去小直径圆柱
: ?! a% y" V/ h( q8 a! |' j(command "cylinder" ptStart "d" (* radmid 1.5) "c" (list (car ptStart) (+ (cadr ptStart) (abs threadlength)) (caddr ptStart)))8 d8 |3 }$ J& _
(command "subtract" "l" "" e "")
! k# C+ t% B% J2 V! C W(setq e (entlast)). g) p7 r6 @6 u9 i$ x8 W6 M# h
: K, E: ~# j" q. R0 x2 y' C/ W* l
; 从螺旋中减去圆柱
1 o4 [' k1 J- ]( u0 X- s(command "subtract" tstmp "" e "")
$ n: P2 Z4 j9 p. m4 r3 q! W$ H" O1 ]
; 如果螺旋长度为负然后镜像* _- b- I2 d& l2 \3 H; h ?; ^
(setq e (entlast)): B0 M$ P& U# f7 L- _; r8 H
(if (< threadlength 0) (mirror3d e "zx" ptStart "y"))
( f6 D# U7 L9 n. _) o9 p
, b- ^6 L% c3 S, m(command "zoom" "p")
4 T3 M; {! P8 n5 a; (command "undo" "end") ; 结束undo步骤
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# F$ y+ y% A+ |* X; s& |& k
- O: a# Z1 N- d' u+ \$ ]5 H;;;---------------------------------------------------------------------------------------------------------------------;
& ?1 W5 l6 @; ~. V2 T(arxload "geom3d" nil)
% V8 R$ d# t$ k/ j+ S, t6 g(princ "% `/ ?) V) A- k$ L
3DThread 已加载。 ")5 ^* v% M7 |! k, x, q' N" X& i
(princ)
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`2 b1 O+ B9 q0 @8 o* U. u ]
三、弹簧源程序 |