[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： !,Wd$UK  
-B$oq8)n*  

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uJMF\G=nb  

关键点说几个： M9]O!{sq  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） `8\pihww  
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 AZorzQ]s
 
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 Q5r cPU>A  

以下是几个重要的函数： sqei(OXy  
1.判断点在区域中函数 0Apdhwk~  
2.计算夹角函数 ,y,NVF  
3.转置函数 HV&N(;@  
4.得到区域中心点，及区域半径函数 (E&}SI~  
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） ;_of'  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 g!V;*[  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single !a~>;+  
   cax = x2 - x1 M=x/PrY"R  
   cay = y2 - y1 {_ww1'|A  
   cbx = x2 - x3 ^g~Asz5]  
   cby = y2 - y3 ;6L<Syl5  
   mo_jj = cax * cbx + cay * cby aIRCz=N
 
   mo_ca = Sqr(cax * cax + cay * cay) K4N~ApLB+  
   mo_cb = Sqr(cbx * cbx + cby * cby) T5-50nU,~  
   cos_acb = mo_jj / (mo_ca * mo_cb) Y@TZReb  
   'ff_cos = cos_acb TPq5"mco  
   If cos_acb >= 1 Then my[)/'  
   nn = 0 $9+}$lpPd  
   ElseIf cos_acb <= -1 Then
-mO[;lO  
   nn = 3.14159265258979 /o.wCy,J<  
   Else EW0H"YIC  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Mm:6+  
   End If ' ,a'r.HJH  
   'ff_angle = nn W.-[ceM  
   ff_angle = nn * 180 / 3.14159265258979 (pH13qU5  
End Function

'判断点在区域内函数 uwyzxj  
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 R4_4FEo  
Dim aob, boc, cod, doa, sum As Single x5WFPY$wM  
  If ppx = p1x And ppy = p1y Then /$! /F@^  
     point_in = True Gz+Bk5#{  
     Exit Function ^p|MkB?uM  
  End If Ii
?<Lz  
  If ppx = p2x And ppy = p2y Then G=jdb@V/?  
     point_in = True &0It"17Ej  
     Exit Function yj `b-^$?  
  End If }C}~)qaZv+  
   If ppx = p3x And ppy = p3y Then ]V6<h Psi  
     point_in = True `D>PU@s$nT  
     Exit Function 6U @3 xU`  
  End If [j?n}D@L  
     b~Y
$!fc  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) r'7;:  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) ES;7_.q  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) oR[,?qu@f  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) .YYiUA-i9n  
    sum = aob + boc + cod + doa =xSF
Ku*  
    If 360.01 > sum And sum > 359.99 Then k*J}/HO  
       point_in = True 
fv5'Bl  
    Else zg.'  
       point_in = False ua0`&,a3I  
    End If W% YJ.%I  
End Function

'得到点半径,得到交点坐标函数 V9`VFO  
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() :2^%^3+V  
    '求得中心点坐标 <T)9mJYr  
Dim tt As String RgHPYf{  
Dim rt(3) As Single |qH-^b.F  
    '判断是否平行 0vbn!<:  
   acx = p3x - p1x azr|
Fz/  
   acy = p3y - p1y _k\*4K8L  
   bdx = p4x - p2x x>A(016:C  
   bdy = p4y - p2y .>zXz%p  
   If acx * bdy = acy * bdx Then R^iF^IB  
      rt(0) = 0 G!RbM.6  
      Exit Function "A~\$  
   Else i;s&;_0{  
      '判断斜率存在否 MRxzOs  
      If p1x = p3x And p2x <> p4x Then 6H+gFXIv  
         tt = "ac_n_bd_y" 3!_y@sWx
 
      ElseIf p1x <> p3x And p2x = p4x Then 7"yA~e,l  
         tt = "ac_y_bd_n" =5l7{i*`  
      ElseIf p1x <> p3x And p2x <> p4x Then O]DZb+O"  
         tt = "ac_y_bd_y" ZN~:^,PO/  
      End If %{!*)V\  
    Select Case tt x~j>Lvw L  
         Case "ac_n_bd_y" %E}f7GT4  
            'bd线段方程 f>k]{W Y  
            k_bd = bdy / bdx 1\z5[ _  
            b_bd = p2y - k_bd * p2x \rn:/  
            p_x = p1x [w'Y3U\i  
            p_y = k_bd * p_x + b_bd Obgn?TAVX  
         Case "ac_y_bd_n" 26B]b{Iz{  
            'ac线段方程 !f2f gX  
            k_ac = acy / acx sWX iY  
            b_ac = p1y - k_ac * p1x 4:.yE|@h[  
            p_x = p2x T?4MFx#  
            p_y = k_ac * p_x + b_ac tV%:sk^d  
        Case "ac_y_bd_y" >'iXwe-  
           'ac，bd线段都要求 y2;uG2IS_g  
           k_ac = acy / acx Qh<_/X?  
           b_ac = p1y - k_ac * p1x LX[<Wh_X(  
           k_bd = bdy / bdx 2a'b}<|[(  
           b_bd = p2y - k_bd * p2x #!wu}nDu  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) : KhAf2A  
           p_y = k_ac * p_x + b_ac &}_ $@  
        End Select xa5^h]o  
      rt(1) = p_x as=Z_a:0N  
      rt(2) = p_y %ZF47P%6  
     v^1_'PAXu  
'计算最大半径 S+ gzl#r  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 3B8\r
}L  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) {&nL'R  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ;|*o^9q  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) VRQ'sn@  
Dim bb(5) As Single xTiC[<j  
  bb(1) = rr1 U2m86@E  
  bb(2) = rr2 -7,xjn  
  bb(3) = rr3 OPOL-2<wiy  
  bb(4) = rr4 )65 o  
  nb = rr1 2XI%z4\)!  
For i = 1 To 4  =z`#n}v  
    If nb <= bb(i) Then d|#sgGM<8  
       nb = bb(i) `1k0wT(  
    End If :ZX#w`Y  
Next i wXI6KN-  
    rt(0) = Sqr(nb) ;}"!|  
    rr = rt() ncZ5r0  
  End If qp$Td<'Y  
         NrA?^F  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  0xZX%2E  

~r%>x  
有热压工艺方面的人才或者资料分享下； <OR f{  
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 )wFr%wNe  

高手真多！

楼主威武霸气.