[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： IZ<d~ [y  
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描述:请输入描述

图片:2.jpg

{uurM`f}:  

关键点说几个： V3<baxdE  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 0K\Xxo.=  
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 B{\cV-X$0  
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 K`=O!;  

以下是几个重要的函数： zEG6T*  
1.判断点在区域中函数 :r?gD2q  
2.计算夹角函数 "62vwWrwO  
3.转置函数 R3nCk-Dq  
4.得到区域中心点，及区域半径函数 XcOfQs  
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） @;%+Ms  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 /.Yf&2X\  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single "N"$B~W*  
   cax = x2 - x1 #fq%903=  
   cay = y2 - y1 {!? @u?M  
   cbx = x2 - x3 x-wIgo+  
   cby = y2 - y3 l@ +lUx8  
   mo_jj = cax * cbx + cay * cby YCv)DW;  
   mo_ca = Sqr(cax * cax + cay * cay) ==zt)s.G(+  
   mo_cb = Sqr(cbx * cbx + cby * cby) g"k1O  
   cos_acb = mo_jj / (mo_ca * mo_cb) Vu @2  
   'ff_cos = cos_acb _a;E>   
   If cos_acb >= 1 Then 5a$Q}!6E.Y  
   nn = 0 W'aZw9  
   ElseIf cos_acb <= -1 Then \rXmWzl{  
   nn = 3.14159265258979 BMubN   
   Else 8nt3Sm  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) !VaKq_W  
   End If 1&zvf4  
   'ff_angle = nn C,*3a`/2M^  
   ff_angle = nn * 180 / 3.14159265258979 (mO{W   
End Function

'判断点在区域内函数 t=,ZR}M1`  
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
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Dim aob, boc, cod, doa, sum As Single V=$pXpro%  
  If ppx = p1x And ppy = p1y Then F52%og~N  
     point_in = True 9((B
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     Exit Function t

cDWx:Q  
  End If }BF!!*  
  If ppx = p2x And ppy = p2y Then wM$N#K@  
     point_in = True U2v;[>=]  
     Exit Function &zuPt5G|  
  End If VI xGD#m  
   If ppx = p3x And ppy = p3y Then <x Q
vS^|[  
     point_in = True NCW<~  
     Exit Function Q6Ay$*y=D  
  End If s9[?{}gd  
     #$5"&SM  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) pUcN-WA  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) ^T?zR7r  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) *~h@KQm7  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) M~rN17S  
    sum = aob + boc + cod + doa hgYi ,e  
    If 360.01 > sum And sum > 359.99 Then pZE}<EX  
       point_in = True Yfbo=yk  
    Else a+HGlj 2>  
       point_in = False ]%%I=r  
    End If !.2tv  
End Function

'得到点半径,得到交点坐标函数 <E2nM,  
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() {yzo#"4Oy  
    '求得中心点坐标  YW14X  
Dim tt As String r,43 gg  
Dim rt(3) As Single {4F=].!
 
    '判断是否平行 MyZ5~jnr\  
   acx = p3x - p1x <`Xt?K  
   acy = p3y - p1y ym_w09   
   bdx = p4x - p2x >g>L>{  
   bdy = p4y - p2y s![Di  
   If acx * bdy = acy * bdx Then }'KHF0   
      rt(0) = 0 KgH_-REN  
      Exit Function +=Y[RCXT  
   Else 4)Bk:K  
      '判断斜率存在否 We`6# \Z X  
      If p1x = p3x And p2x <> p4x Then 5cF7w  
         tt = "ac_n_bd_y" }R9>1u}6  
      ElseIf p1x <> p3x And p2x = p4x Then $~ >/_<~  
         tt = "ac_y_bd_n" _:1s7EC  
      ElseIf p1x <> p3x And p2x <> p4x Then !MyCxM6  
         tt = "ac_y_bd_y" JBI>D1`"  
      End If [mcER4]}  
    Select Case tt .)g7s? K  
         Case "ac_n_bd_y" NiSybyR$  
            'bd线段方程 @e#{Sm  
            k_bd = bdy / bdx !'z"V_x~  
            b_bd = p2y - k_bd * p2x V;LV),R?  
            p_x = p1x j5:/Gl8  
            p_y = k_bd * p_x + b_bd 1F'x$~ZI  
         Case "ac_y_bd_n" T;M4NGmvd  
            'ac线段方程  vWH)W?2  
            k_ac = acy / acx :|HCUZ*H(T  
            b_ac = p1y - k_ac * p1x :!QT ,  
            p_x = p2x X:>,3[hx|  
            p_y = k_ac * p_x + b_ac jmBsPSGIC  
        Case "ac_y_bd_y" 01<Ti"  
           'ac，bd线段都要求 0sP*ChY5S  
           k_ac = acy / acx "Ng%"N
z  
           b_ac = p1y - k_ac * p1x grxlGS~Q  
           k_bd = bdy / bdx D &Bdl5g  
           b_bd = p2y - k_bd * p2x 8U)*kmq  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) x+bC\,q  
           p_y = k_ac * p_x + b_ac 8zO;=R A7%  
        End Select Tr.u'b(  
      rt(1) = p_x XS(Q)\"  
      rt(2) = p_y WkMB  
     xUF5  
'计算最大半径 !BjJ5m  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) gl~9|$ivj>  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) Eh+m|A  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) zXW)v/ ZD  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) `D? &)Y  
Dim bb(5) As Single Ou]!@s  
  bb(1) = rr1 ~,Kx"VK  
  bb(2) = rr2 V`4/oM`  
  bb(3) = rr3 &9ERlZ(A  
  bb(4) = rr4 {%D4%X<  
  nb = rr1 G.:QA}FE'  
For i = 1 To 4 aeE~[m  
    If nb <= bb(i) Then ew&"n2r  
       nb = bb(i) 7n[0)XR>  
    End If ,: Ij@u>)  
Next i T2}X~A  
    rt(0) = Sqr(nb) ^4C djMF-E  
    rr = rt() >{{0odBF  
  End If }2''}-Nc  
         C.RXQ`-P}  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  _$yS4=.  

|$[.X3i  
有热压工艺方面的人才或者资料分享下； `We?j7O  
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 @=K*gbq
5  

高手真多！

楼主威武霸气.