[分享]绝对随机网点分布（excel之vba） [复制链接]

想学习的请研究下，直接给程序就没意思了，由于公司想做一套导光板的模具，没有现成的软件可用，就自己做了较简单的程序，虽然简单，但基本功能已经满足了导光板网点设计的要求；具备功能：任意多边形区域；含有光轴，且可以根据光源调整；网点密度可沿光轴方向调整，效果图如下： CNx8] _2  
A/?7w   
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关键点说几个： W!(LF7_!  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） %N_%J
K\{@  
2.需要定义光轴的方向；简便的方法就是指定光源坐标，及网点区域坐标，这样光轴就确定了 E<*xx#p  
3.网点区域密度可调；把区域分成若干小块，每块的密度不同即可 Vf1^4t  

以下是几个重要的函数： Qe(
:|q_  
1.判断点在区域中函数 _h1mF<\ X^  
2.计算夹角函数 _u9Jxw?F@Y  
3.转置函数 is@?VklnB  
4.得到区域中心点，及区域半径函数 J9S>yLQK  
5.再有就是若干个点抽取其中一部分；或者采用随机分布（该方法会有重合点，所以没采用） 11;zNjD|  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 n'6jou  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single b5n'=doR/I  
   cax = x2 - x1 )@bQu~Y  
   cay = y2 - y1 ,UE83j8D^  
   cbx = x2 - x3 %ULr8)R;  
   cby = y2 - y3 mpJ#:}n  
   mo_jj = cax * cbx + cay * cby 63B?.  
   mo_ca = Sqr(cax * cax + cay * cay) ;i:d+!3XwC  
   mo_cb = Sqr(cbx * cbx + cby * cby) ;t`&n['N>  
   cos_acb = mo_jj / (mo_ca * mo_cb) 9=2$8JN=(l  
   'ff_cos = cos_acb
IIx#
2r  
   If cos_acb >= 1 Then sCHJ&>m5-  
   nn = 0 y:l\$pGC%  
   ElseIf cos_acb <= -1 Then H} g{Cr"Ex  
   nn = 3.14159265258979 QP J4~  
   Else KKf  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 3sZ\0P}   
   End If r]36zX v  
   'ff_angle = nn E-g_".agO  
   ff_angle = nn * 180 / 3.14159265258979 3=ymm^  
End Function

'判断点在区域内函数 4HA<P6L  
Function point_in(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single, ppx As Single, ppy As Single) As Boolean C;urBsC  
Dim aob, boc, cod, doa, sum As Single A^<iL  
  If ppx = p1x And ppy = p1y Then \)|hogI|f  
     point_in = True P";'jVcR  
     Exit Function '!$Rw"K.  
  End If J7p),[>I<  
  If ppx = p2x And ppy = p2y Then "9e\c;a  
     point_in = True 92KRb;c  
     Exit Function G'A R`"F  
  End If wAW5 Z0D  
   If ppx = p3x And ppy = p3y Then LFtt gY  
     point_in = True 7Jho}5J  
     Exit Function D}X\Ca"h  
  End If Dm<A ^
u8  
     /t"3!Z?BOv  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) W6/yn
 
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) B`J~^+`[*  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ?(i{y~  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) LSr]S79N1  
    sum = aob + boc + cod + doa Jze:[MYS  
    If 360.01 > sum And sum > 359.99 Then mL: sJf  
       point_in = True B0]~el  
    Else s!
7y  
       point_in = False ~IN>3\j  
    End If G<v&4/\p`M  
End Function

'得到点半径,得到交点坐标函数 5"O.,H}  
Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() K(,F~.<  
    '求得中心点坐标 |_@>*Vmg  
Dim tt As String Z}Ft:7   
Dim rt(3) As Single @r/nF5  
    '判断是否平行 JrRH\+4K  
   acx = p3x - p1x :!!at:>  
   acy = p3y - p1y 8c^TT&  
   bdx = p4x - p2x YglmX"fLf  
   bdy = p4y - p2y :E )>\&  
   If acx * bdy = acy * bdx Then E#N|wq  
      rt(0) = 0 l]l'4@1   
      Exit Function 5taT5?n2  
   Else .jWC$SVR  
      '判断斜率存在否 n]o<S+z  
      If p1x = p3x And p2x <> p4x Then L>4"(  
         tt = "ac_n_bd_y" 68WO~*  
      ElseIf p1x <> p3x And p2x = p4x Then vuY~_  
         tt = "ac_y_bd_n" .jjG(L  
      ElseIf p1x <> p3x And p2x <> p4x Then A*547=M/(j  
         tt = "ac_y_bd_y" fHd#u%63K  
      End If mSl.mi(JiZ  
    Select Case tt ;,:`1UI  
         Case "ac_n_bd_y" N~zdWnSZ@G  
            'bd线段方程 }*pi<s  
            k_bd = bdy / bdx 9N3o-=  
            b_bd = p2y - k_bd * p2x Uf;^%*P4  
            p_x = p1x K:#I  
            p_y = k_bd * p_x + b_bd fN1-d&T  
         Case "ac_y_bd_n" S
k\K4  
            'ac线段方程 -Cc^d!::  
            k_ac = acy / acx o9yJf#-En  
            b_ac = p1y - k_ac * p1x naz
Z*lC  
            p_x = p2x 5IjGm  
            p_y = k_ac * p_x + b_ac '$]97b7G  
        Case "ac_y_bd_y" 0rs"o-s<  
           'ac，bd线段都要求 fdi\
hg^x  
           k_ac = acy / acx M\Ye<Tk  
           b_ac = p1y - k_ac * p1x eiaF
aYe\  
           k_bd = bdy / bdx .~~T\rmI  
           b_bd = p2y - k_bd * p2x YHygo#4=8  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 4*cEag   
           p_y = k_ac * p_x + b_ac =|y9UlsD  
        End Select B7E:{9l~s{  
      rt(1) = p_x #r~#
I}U  
      rt(2) = p_y q\4Xs$APq  
      B Qxs~  
'计算最大半径 Zaf:fsj>  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) .2Elr(&*h  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ?ri?GmI|  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) LxSpctiNx  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ,Np0wg0  
Dim bb(5) As Single l'E*=Rn  
  bb(1) = rr1 W/bQd)Jvk  
  bb(2) = rr2 K)|G0n*qS  
  bb(3) = rr3 \aUC(K~o\;  
  bb(4) = rr4 z3m85F%dR  
  nb = rr1 \\H}`0m:  
For i = 1 To 4 (Y?gn)*t  
    If nb <= bb(i) Then 6@F9G4<Z  
       nb = bb(i) cO+qs[ BQ  
    End If Y0dEH^I  
Next i ' ;FnIZ  
    rt(0) = Sqr(nb) DGn;m\B  
    rr = rt() Eib5  
  End If a;qryUyG  
         ~#[yJNYQ  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  0_95|3kc  

w(*vj  
有热压工艺方面的人才或者资料分享下； 7 S#J>*  
我公司主要做透镜类产品，现在有客户要审核我公司的导光膜工艺，头疼 *v jmy/3  

高手真多！

楼主威武霸气.