[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： 5Ft5@UF~  
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关键点说几个： d0hhMx6$  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ,U)"WLmY  
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 #QvMVy  
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 nFX_+4V2  

以下是几个重要的函数： m6eZ_&+u  
1.判断点在区域中函数 Q@e[5RA+]  
2.计算夹角函数 D7]#Xk2  
3.转置函数 }],Z;:  
4.得到区域中心点，及区域半径函数 pqvOJ#?Q}=  
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） 8$|8`;I(  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 "HD+rmUEH  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single v]2S`ffP  
   cax = x2 - x1 s"=6{EVqk3  
   cay = y2 - y1 |VOg\[f  
   cbx = x2 - x3 @vgG1w  
   cby = y2 - y3 /)N@M  
   mo_jj = cax * cbx + cay * cby s)voII&  
   mo_ca = Sqr(cax * cax + cay * cay) C8@TZ[w  
   mo_cb = Sqr(cbx * cbx + cby * cby) r%wA&FQ8U  
   cos_acb = mo_jj / (mo_ca * mo_cb) AJt!!crs  
   'ff_cos = cos_acb ^\ ?O4,L  
   If cos_acb >= 1 Then g}&hl"j  
   nn = 0 Y9SGRV(  
   ElseIf cos_acb <= -1 Then 78n=nHS  
   nn = 3.14159265258979 \u`)kJ5o1  
   Else Ot&:mT!2  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ^Yr0@pE  
   End If LiDvaF:@L!  
   'ff_angle = nn fkfZ>D^1  
   ff_angle = nn * 180 / 3.14159265258979 P7r'ffA  
End Function

'判断点在区域内函数 dtM[E`PL  
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 >Dm8m[76  
Dim aob, boc, cod, doa, sum As Single {mYP<NBT  
  If ppx = p1x And ppy = p1y Then @z6!a  
     point_in = True ;'T{
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     Exit Function g]mtFrP  
  End If `Y?t@dd  
  If ppx = p2x And ppy = p2y Then TmRxKrRs  
     point_in = True Ftb%{[0}u3  
     Exit Function wn+FTqj  
  End If yT OyDm-  
   If ppx = p3x And ppy = p3y Then 4FeEGySow  
     point_in = True >hMUr
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     Exit Function xc 1A$EY  
  End If Q.-*7h8  
     V+MK'<#B  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) .;/L2Jv  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) /  Y
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    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) iMP  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) ,1n >U?5  
    sum = aob + boc + cod + doa ~d>%,?zz  
    If 360.01 > sum And sum > 359.99 Then -xmf'c9P  
       point_in = True TT!ET<ciN  
    Else my^ak*N  
       point_in = False \9c$`nn  
    End If @_'OyRd8  
End Function

'得到点半径,得到交点坐标函数 ))#'4  
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() S)\8|ym6!  
    '求得中心点坐标 \3Jq_9Xv  
Dim tt As String GG-[`!>.pw  
Dim rt(3) As Single M]_E  
    '判断是否平行 )qM|3],  
   acx = p3x - p1x 6vz1*\:H~  
   acy = p3y - p1y `7Ug/R<  
   bdx = p4x - p2x :X>DkRP  
   bdy = p4y - p2y %]4-{%v  
   If acx * bdy = acy * bdx Then Lyoor1   
      rt(0) = 0 ?C;JJ#Ho  
      Exit Function rg&+  
   Else pG yRX_;  
      '判断斜率存在否 3B9nP._  
      If p1x = p3x And p2x <> p4x Then av'*u  
         tt = "ac_n_bd_y" 2_pz3<,\  
      ElseIf p1x <> p3x And p2x = p4x Then (aKZ5>>cN  
         tt = "ac_y_bd_n" ZlR!s!vv  
      ElseIf p1x <> p3x And p2x <> p4x Then ?ApRJm:T  
         tt = "ac_y_bd_y" D1"7s,Hmu  
      End If 4,}GyVJFb`  
    Select Case tt "EPD2,%S  
         Case "ac_n_bd_y" 0-xCp ~vE  
            'bd线段方程 d'zT:g  
            k_bd = bdy / bdx m6n hC  
            b_bd = p2y - k_bd * p2x U</+.$b  
            p_x = p1x kL7^$  
            p_y = k_bd * p_x + b_bd b7$}JCn  
         Case "ac_y_bd_n" 
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            'ac线段方程 1L[S*X  
            k_ac = acy / acx pMN<p[MB  
            b_ac = p1y - k_ac * p1x Npa-$N&P{S  
            p_x = p2x J?jeYW  
            p_y = k_ac * p_x + b_ac @>O&Cpt  
        Case "ac_y_bd_y" M\UWWb&%\  
           'ac，bd线段都要求 |9s wZ[  
           k_ac = acy / acx  KOSyh<&  
           b_ac = p1y - k_ac * p1x 3%IWGmye4  
           k_bd = bdy / bdx JSjYC0e  
           b_bd = p2y - k_bd * p2x u%opY<h  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) D@hmO]5c  
           p_y = k_ac * p_x + b_ac N$Hqa^!'T  
        End Select )73DT3-0$  
      rt(1) = p_x 7Po/_%  
      rt(2) = p_y C4_t_N  
     I7Zq}Pxa  
'计算最大半径 ~&~C#yjg1  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) oNSz&)LP  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) @,vv\M0)p  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) )6G+tU'  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) LXxl?D  
Dim bb(5) As Single ^ wQcB  
  bb(1) = rr1 r}@< K  
  bb(2) = rr2 [+DNM 2A  
  bb(3) = rr3 G
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  bb(4) = rr4 h544dNo&  
  nb = rr1 )/TVJAJ  
For i = 1 To 4 }85#[~m'  
    If nb <= bb(i) Then +~:0Dxv W  
       nb = bb(i) h.LSMU (O  
    End If s}!"a8hU`  
Next i M=Is9)y  
    rt(0) = Sqr(nb) \[E-:  
    rr = rt() o}R|tOe  
  End If Kz^hQd  
         MZ
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End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  B/[hi%~  

HE4`9$kVLr  
有热压工艺方面的人才或者资料分享下； 9iiU,}M`j  
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 q oKQEG2  

高手真多！

楼主威武霸气.