[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： 8Wa&&YTB  
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关键点说几个： R^
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1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） w&M)ws;$  
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 'G.^g}N1  
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 97$1na3gq  

以下是几个重要的函数： SqiLp!Y`  
1.判断点在区域中函数 Jb~nu  
2.计算夹角函数 %cWy0:F5VY  
3.转置函数 $] js0)>  
4.得到区域中心点，及区域半径函数 Dn[iA~  
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） W6Os|z9&|  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 Lv;R8^n  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single .K`^n\T t  
   cax = x2 - x1 k)2L<Lmn  
   cay = y2 - y1  c`'2  
   cbx = x2 - x3 ;2m<#~@0  
   cby = y2 - y3 S?Y,sl+A:  
   mo_jj = cax * cbx + cay * cby }y-b<J?H  
   mo_ca = Sqr(cax * cax + cay * cay) l!B)1  
   mo_cb = Sqr(cbx * cbx + cby * cby) [*-DtbEk  
   cos_acb = mo_jj / (mo_ca * mo_cb) ^JDiI7  
   'ff_cos = cos_acb Ax#$z  
   If cos_acb >= 1 Then VfJbexYT  
   nn = 0 hM!D6: t  
   ElseIf cos_acb <= -1 Then EDm,Y  
   nn = 3.14159265258979 sK#)wjj\^  
   Else P=)&]Pz  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) YpFh_Zr[  
   End If P'prp=JD  
   'ff_angle = nn d83K;Ryd  
   ff_angle = nn * 180 / 3.14159265258979 -{ Ng6ntS  
End Function

'判断点在区域内函数 /f!CX|U  
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 *mQOW]x%  
Dim aob, boc, cod, doa, sum As Single D`;Q?fC  
  If ppx = p1x And ppy = p1y Then ^cYm.EHI  
     point_in = True HvWnPh1l  
     Exit Function EwSE;R -  
  End If .Dw^'p>  
  If ppx = p2x And ppy = p2y Then bg\~"  
     point_in = True S[o_
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     Exit Function P:z5/??2S  
  End If \Rc7$bS2H  
   If ppx = p3x And ppy = p3y Then mQQ5>0^m  
     point_in = True jgLCs)=5hV  
     Exit Function ,q yp2Y7  
  End If =sG9]a<I  
     )'{:4MX  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) MB,;HeP!  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 8$fiq}a  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) s=lkK/ [  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) anj*a<C<  
    sum = aob + boc + cod + doa ,B>Rc#  
    If 360.01 > sum And sum > 359.99 Then &H!#jh\w  
       point_in = True *g$egipfF  
    Else :@6,|2be=  
       point_in = False 4Fr0/="H  
    End If pZRKM<k  
End Function

'得到点半径,得到交点坐标函数 i"uAT$xe  
Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() u 89u#gCAC  
    '求得中心点坐标 CB5 ~!nKv&  
Dim tt As String 3AWNoXh  
Dim rt(3) As Single P7n+@L$  
    '判断是否平行 K[ZgT$zZ  
   acx = p3x - p1x pA9:1*+;;  
   acy = p3y - p1y #`6A}/@.+  
   bdx = p4x - p2x
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   bdy = p4y - p2y ^
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   If acx * bdy = acy * bdx Then 1MdVWFKXV  
      rt(0) = 0
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      Exit Function dA<PQKm
 
   Else p1 tfN$-  
      '判断斜率存在否 |[x) %5F  
      If p1x = p3x And p2x <> p4x Then QKYGeT7&Y'  
         tt = "ac_n_bd_y" JHN35a+  
      ElseIf p1x <> p3x And p2x = p4x Then 8phcekh+  
         tt = "ac_y_bd_n" ``o:N`  
      ElseIf p1x <> p3x And p2x <> p4x Then ~y{(&7sM  
         tt = "ac_y_bd_y" 'z\K0  
      End If ^+:_S9qst  
    Select Case tt gP*:>[lR  
         Case "ac_n_bd_y" 5-|fp(Ww_W  
            'bd线段方程 n$ye:p>`-  
            k_bd = bdy / bdx mqGp]'{  
            b_bd = p2y - k_bd * p2x >a98H4  
            p_x = p1x I(E1ym  
            p_y = k_bd * p_x + b_bd <Tr_,Ya{9  
         Case "ac_y_bd_n" TL(L[  
            'ac线段方程 Au'[|Prr  
            k_ac = acy / acx r=dFk?8XbC  
            b_ac = p1y - k_ac * p1x _N~h#(  
            p_x = p2x IEV3(qz
t  
            p_y = k_ac * p_x + b_ac b'fj  
        Case "ac_y_bd_y"  m?hC!n>  
           'ac，bd线段都要求 .Ev i  
           k_ac = acy / acx Qz;2RELz  
           b_ac = p1y - k_ac * p1x 95giqQ(N  
           k_bd = bdy / bdx |MvCEp  
           b_bd = p2y - k_bd * p2x DJlY~}v#_  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) @W|}|V5  
           p_y = k_ac * p_x + b_ac .L%_#A  
        End Select :g/HN9  
      rt(1) = p_x krm&.J  
      rt(2) = p_y Nko;I?Fn  
     +0;n t  
'计算最大半径 Y[x9c0  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) pDD0 QO  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 4f~h
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   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 1tG,V%iCp  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) }9e4?7  
Dim bb(5) As Single o Wg5-pMWZ  
  bb(1) = rr1 ]SpUD  
  bb(2) = rr2 ymybj  
  bb(3) = rr3 C^RO@kM  
  bb(4) = rr4 c]O3pcU  
  nb = rr1 rWF~aec  
For i = 1 To 4 ^<xpp.eY  
    If nb <= bb(i) Then |SXMd'<3`Z  
       nb = bb(i) X""<5s'0  
    End If ^lB'7#7  
Next i q%#dx4z&  
    rt(0) = Sqr(nb) ;5-Sn(G  
    rr = rt() p_=^E*J]  
  End If :*TfGV  
         ^r73(8{)  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  m^@,0\F  

_dVzvk`_R  
有热压工艺方面的人才或者资料分享下； EyA}  
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 fB|rW~!v  

高手真多！

楼主威武霸气.