[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： )yUSuK(Vu  
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图片:2.jpg

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关键点说几个： >[S\NAE>  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） X'p%K/-m  
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 p8MN>pLP%  
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 DDe`Lb%%  

以下是几个重要的函数： yC[Q-P*rG  
1.判断点在区域中函数 ,zh_-2^X  
2.计算夹角函数 lT_dzO  
3.转置函数 /%TL{k&m$  
4.得到区域中心点，及区域半径函数 R]0tG   
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） PV-B<Y  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 ne%(`XY{Q]  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single Gm=e;X;r  
   cax = x2 - x1 LeYI<a@n@$  
   cay = y2 - y1 rN'}IS@5  
   cbx = x2 - x3 tc{Qd&"(  
   cby = y2 - y3 eg"A?S  
   mo_jj = cax * cbx + cay * cby sLf~o"yb  
   mo_ca = Sqr(cax * cax + cay * cay) p MR4]G  
   mo_cb = Sqr(cbx * cbx + cby * cby) 6ipQx/IQ  
   cos_acb = mo_jj / (mo_ca * mo_cb) [<X ~m  
   'ff_cos = cos_acb f |NXibmP  
   If cos_acb >= 1 Then 5Q,j+  
   nn = 0 );{76  
   ElseIf cos_acb <= -1 Then czH# ~  
   nn = 3.14159265258979 Px&)kEQ  
   Else fzUG1|$e  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) NMESGNa)z  
   End If 7,Y+FZ  
   'ff_angle = nn b?:?"  
   ff_angle = nn * 180 / 3.14159265258979 <tdsUh:?&  
End Function

'判断点在区域内函数 hHgH'  
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 *!yA'
z<  
Dim aob, boc, cod, doa, sum As Single ,m
M7g  
  If ppx = p1x And ppy = p1y Then e^v\K[  
     point_in = True : :928y  
     Exit Function H=9{|%iS  
  End If #)4p,H  
  If ppx = p2x And ppy = p2y Then o)8VJ\ &  
     point_in = True g\H~Y@'{  
     Exit Function !w/]V{9`X  
  End If rdH^"(  
   If ppx = p3x And ppy = p3y Then I/u>
Gt  
     point_in = True < Yc)F.:  
     Exit Function JD9
=gBN\?  
  End If u5Mg  
     /h@3R[k  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) o3:BH@@  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) v`U;.W  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) WwUHHm<v  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) w8zr0z  
    sum = aob + boc + cod + doa AuY*x;~  
    If 360.01 > sum And sum > 359.99 Then H#G3CD2&  
       point_in = True 
,:0!+1  
    Else z`,dEGfh^  
       point_in = False lUw=YM  
    End If h)s&Nqg1B  
End Function

'得到点半径,得到交点坐标函数 8Nx fYA  
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() &PX!'%X68h  
    '求得中心点坐标 ""IPaNHQ  
Dim tt As String ;@O8y\@  
Dim rt(3) As Single [WXcp1p  
    '判断是否平行
]ZH6 .@|  
   acx = p3x - p1x ,rOh*ebF  
   acy = p3y - p1y l~[ K.p&  
   bdx = p4x - p2x W{1l?Wo  
   bdy = p4y - p2y =%|f-x  
   If acx * bdy = acy * bdx Then ~*`wRiUhis  
      rt(0) = 0 #TcX5  
      Exit Function AdbTI#eY  
   Else 3ouo4tf$H.  
      '判断斜率存在否 Swgvj(y;!A  
      If p1x = p3x And p2x <> p4x Then @c}Gw;e  
         tt = "ac_n_bd_y" 'a$/!~X  
      ElseIf p1x <> p3x And p2x = p4x Then ONUa7  
         tt = "ac_y_bd_n" ,^jQBD4={  
      ElseIf p1x <> p3x And p2x <> p4x Then #%{  
         tt = "ac_y_bd_y" NOf{Xx<#k  
      End If %VE FruM  
    Select Case tt lB7/oa1]>  
         Case "ac_n_bd_y" '-#gQxIpD  
            'bd线段方程 b,47 EJ}  
            k_bd = bdy / bdx HUbXJsSP  
            b_bd = p2y - k_bd * p2x &a6-+r  
            p_x = p1x s !II}'Je  
            p_y = k_bd * p_x + b_bd -CALUX  
         Case "ac_y_bd_n" 0*j\i@  
            'ac线段方程 ?P}) Qa  
            k_ac = acy / acx 
BF"eVKA  
            b_ac = p1y - k_ac * p1x 2#8PM-3"  
            p_x = p2x ?.ofs}  
            p_y = k_ac * p_x + b_ac }a
%Wu 7D  
        Case "ac_y_bd_y" ClufP6'  
           'ac，bd线段都要求 [=:
4^S|M  
           k_ac = acy / acx VeH%E.:  
           b_ac = p1y - k_ac * p1x B5_QH8kt7  
           k_bd = bdy / bdx Np;tpq~  
           b_bd = p2y - k_bd * p2x a, `B.I  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) `:2n
p{  
           p_y = k_ac * p_x + b_ac mA#^Pv*  
        End Select swMR+F#u*  
      rt(1) = p_x |
1Nz8Vr.  
      rt(2) = p_y gL1r"&^L  
     @f-rS{  
'计算最大半径 Q[lkhx|.B  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) C*Qx  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ,S?:lQuK5  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) [
3
qJUJM  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) #t VGqf  
Dim bb(5) As Single $GVf;M2*  
  bb(1) = rr1 `g{eWY1l  
  bb(2) = rr2 <!X]$kvG  
  bb(3) = rr3 buHUBn[3)  
  bb(4) = rr4 =wa5\p/  
  nb = rr1 5^Lb
c.h  
For i = 1 To 4 ]ij:>O@{$  
    If nb <= bb(i) Then Eb8z`@p  
       nb = bb(i) |+=ctpx9&  
    End If wHQYBYKcd  
Next i ^SS9BQ*m  
    rt(0) = Sqr(nb) _b &Aa%  
    rr = rt() T n,Ifo3  
  End If !DKl:8mx4  
         W61:$y}8  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  n!\&X9%[8  

"8`f x  
有热压工艺方面的人才或者资料分享下；
y]E ?\03"  
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 )`]} D[j  

高手真多！

楼主威武霸气.