[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： 7cc^
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关键点说几个： iEn:Hh)  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） |JkfAnrN$I  
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 t?hfP2&6  
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 coCT]<  

以下是几个重要的函数： 6B]=\H  
1.判断点在区域中函数 = #-zK:4  
2.计算夹角函数 ^cZ< .d2  
3.转置函数 G#[A'tbKk  
4.得到区域中心点，及区域半径函数 ,h=a+ja8  
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） s.4+5
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6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 l%}q&_  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single A~xw:[zy$a  
   cax = x2 - x1 )bM,>x  
   cay = y2 - y1 N]FRL\K  
   cbx = x2 - x3 P;"moluE;  
   cby = y2 - y3 9mxg$P4  
   mo_jj = cax * cbx + cay * cby t U}6^yc  
   mo_ca = Sqr(cax * cax + cay * cay) ECt<\h7}  
   mo_cb = Sqr(cbx * cbx + cby * cby) m 3UK`~ji  
   cos_acb = mo_jj / (mo_ca * mo_cb) D?#l8  
   'ff_cos = cos_acb CHTK.%AQH!  
   If cos_acb >= 1 Then (F^R9G|  
   nn = 0 /"J 6``MV  
   ElseIf cos_acb <= -1 Then 6):1U  
   nn = 3.14159265258979 SY|K9$M^  
   Else pO *[~yq5  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) W,EIBgR(R5  
   End If ~AjPa}@ f  
   'ff_angle = nn Ck#e54gJX  
   ff_angle = nn * 180 / 3.14159265258979 GXxI=,L8F  
End Function

'判断点在区域内函数 :pM8Q1:B  
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 ,=\.L_'  
Dim aob, boc, cod, doa, sum As Single Btxtu"]nJo  
  If ppx = p1x And ppy = p1y Then +YZo-tE  
     point_in = True  >SQzE
 
     Exit Function WP*}X7IS  
  End If q{`1[R  
  If ppx = p2x And ppy = p2y Then cO7ii~&%!  
     point_in = True  >%;i@"  
     Exit Function W:
8MqVm34  
  End If
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   If ppx = p3x And ppy = p3y Then Mv%Qze,\V^  
     point_in = True k6M D3c  
     Exit Function 9;Z{++z  
  End If Ea S[W?u}  
     N `:MF 9  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) @Dfg6<0  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) YIwa =^  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) [L X/O@  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 8OZasf  
    sum = aob + boc + cod + doa vD@|]@gq  
    If 360.01 > sum And sum > 359.99 Then e4Nd  
       point_in = True G+N1#0,q  
    Else ^85Eveu  
       point_in = False Hmr f\(x  
    End If )Mdddz4  
End Function

'得到点半径,得到交点坐标函数 ]}lt^
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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() ld]*J}cw  
    '求得中心点坐标 5c3-?u!  
Dim tt As String ,93Uji[l  
Dim rt(3) As Single qr4 lr!#t  
    '判断是否平行 jbipNgxkr  
   acx = p3x - p1x nrMW5>&-`  
   acy = p3y - p1y 2c]"*Pb  
   bdx = p4x - p2x _?H3*!>3  
   bdy = p4y - p2y oaqH@`  
   If acx * bdy = acy * bdx Then +ZNOvcsV  
      rt(0) = 0 z*h:Nt%.  
      Exit Function iGSJ\  
   Else nfF$h}<o+  
      '判断斜率存在否 ?D.+D(  
      If p1x = p3x And p2x <> p4x Then =gI41Y]  
         tt = "ac_n_bd_y" OiQf=Uz\  
      ElseIf p1x <> p3x And p2x = p4x Then 1l$C3c  
         tt = "ac_y_bd_n" $,@}%NlHc  
      ElseIf p1x <> p3x And p2x <> p4x Then zQulPU  
         tt = "ac_y_bd_y" f2x!cL|Kx?  
      End If 3
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    Select Case tt pi"M*$  
         Case "ac_n_bd_y" )9"^ D  
            'bd线段方程
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            k_bd = bdy / bdx w"?Q0bhV9y  
            b_bd = p2y - k_bd * p2x Qz(2Iu{E]  
            p_x = p1x @ &
N  
            p_y = k_bd * p_x + b_bd h,R Isq;`  
         Case "ac_y_bd_n" 4+q,[m-$(  
            'ac线段方程 'Wnh1|z  
            k_ac = acy / acx nSyLt6zn\  
            b_ac = p1y - k_ac * p1x n5kGHL2  
            p_x = p2x |gI>Sp%Fu  
            p_y = k_ac * p_x + b_ac xg/(  
        Case "ac_y_bd_y" F}So=Jz9h  
           'ac，bd线段都要求 DW
Of\[  
           k_ac = acy / acx f;^ +q-Q  
           b_ac = p1y - k_ac * p1x nDdY~f.B  
           k_bd = bdy / bdx je^VJ&ac  
           b_bd = p2y - k_bd * p2x :|s;2Y  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) G^t)^iI"'  
           p_y = k_ac * p_x + b_ac 56z>/`=  
        End Select FTCIfW  
      rt(1) = p_x K
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      rt(2) = p_y t$nJmfzm  
     > pb}@\;:  
'计算最大半径 Gw3+TvwU+Q  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) ;/$pxD  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) -+@N/d5  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) T
;(,9>Qsu  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) B1_9l3RM  
Dim bb(5) As Single x t-s"
A  
  bb(1) = rr1 `f}s<At  
  bb(2) = rr2 bK%F_v3'  
  bb(3) = rr3 dh`s^D6Q>  
  bb(4) = rr4 w>j5oz}  
  nb = rr1 ~|Vqv{  
For i = 1 To 4 <&b,%O  
    If nb <= bb(i) Then <@(\z   
       nb = bb(i) 2*V%S/cck  
    End If s`=| D'G(=  
Next i "L]v:lg3  
    rt(0) = Sqr(nb) !6-t_S  
    rr = rt() ;GM`=M4  
  End If 6Sd:5eTEQ  
         M}o.= Iqa  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  XPrnQJ  

L:_{bE|TY  
有热压工艺方面的人才或者资料分享下； l$!ExXEZO;  
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 :-59~8&  

高手真多！

楼主威武霸气.