[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： :0B' b  
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描述:请输入描述

图片:2.jpg

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关键点说几个： _-/<bO  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） IQ"9#{o  
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 LdM9k(  
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 w*"h#^1z  

以下是几个重要的函数： "~&d=f0m  
1.判断点在区域中函数 _Q1[t9P"  
2.计算夹角函数 0QxE6>xL=  
3.转置函数 <ny)yK  
4.得到区域中心点，及区域半径函数 / !*+9+h  
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） .[KXO0Ui6u  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 $h( B2  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single o@&dd NO  
   cax = x2 - x1 ^ |^Q(  
   cay = y2 - y1 <) `?s  
   cbx = x2 - x3 41[1_p(  
   cby = y2 - y3 JBKCa 3  
   mo_jj = cax * cbx + cay * cby Y@Zv5
2,  
   mo_ca = Sqr(cax * cax + cay * cay) |#
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   mo_cb = Sqr(cbx * cbx + cby * cby) vF,iHzv  
   cos_acb = mo_jj / (mo_ca * mo_cb) ![,W?  
   'ff_cos = cos_acb /.u0rxoRP}  
   If cos_acb >= 1 Then @m=xCg.Z  
   nn = 0 0cwb^ffN  
   ElseIf cos_acb <= -1 Then 2-<i#nA3  
   nn = 3.14159265258979 855JAf  
   Else LZB=vc|3/  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) LPNJuz  
   End If ]EhW  
   'ff_angle = nn yLI)bn!"  
   ff_angle = nn * 180 / 3.14159265258979 TvzqJ=  
End Function

'判断点在区域内函数 _U"9#<  
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 >2[\WF*"X  
Dim aob, boc, cod, doa, sum As Single $#k8xb  
  If ppx = p1x And ppy = p1y Then {v,O  
     point_in = True <&+\X6w[  
     Exit Function n
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  End If o-))R| ~z  
  If ppx = p2x And ppy = p2y Then /7nircXj@  
     point_in = True D[7+xAwS  
     Exit Function _i=431Z40  
  End If IwfJDJJ  
   If ppx = p3x And ppy = p3y Then d%y)/5  
     point_in = True c?;YufH'j
 
     Exit Function 6i6m*=h  
  End If INd:_cT4l  
     %q~
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    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) |
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    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) SpM|b5c5  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ^4
WNP  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) vnNX)$f  
    sum = aob + boc + cod + doa (^:0g.~c  
    If 360.01 > sum And sum > 359.99 Then J 8z|ua  
       point_in = True pQGlg[i2/
 
    Else zT\nj&7  
       point_in = False }, < dGmkx  
    End If g69^D  
End Function

'得到点半径,得到交点坐标函数 ZU=omRh5  
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() ^V1.Y  
    '求得中心点坐标 D%=VhKq  
Dim tt As String fEdp^oVg  
Dim rt(3) As Single Ft&ARTsa*  
    '判断是否平行 =bx;TV  
   acx = p3x - p1x #-]!;sY>  
   acy = p3y - p1y F9Hxqa#1T  
   bdx = p4x - p2x FO"sE`  
   bdy = p4y - p2y 6n|R<DO%\  
   If acx * bdy = acy * bdx Then BHNcE*U}@?  
      rt(0) = 0  {"RUiL^  
      Exit Function n=z=%T6  
   Else }{R?i,j(  
      '判断斜率存在否
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      If p1x = p3x And p2x <> p4x Then 0eGz|J*7  
         tt = "ac_n_bd_y" AHo4% 5  
      ElseIf p1x <> p3x And p2x = p4x Then YB`;<+sY  
         tt = "ac_y_bd_n" #j+0jFu  
      ElseIf p1x <> p3x And p2x <> p4x Then -4%{Jb-1  
         tt = "ac_y_bd_y" X6T*?t3!9[  
      End If ;JD/4:  
    Select Case tt "^Ax}Jr  
         Case "ac_n_bd_y" pie,^-_.g  
            'bd线段方程 [Y
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            k_bd = bdy / bdx e5}KzFZmZ  
            b_bd = p2y - k_bd * p2x > [%ITqA$  
            p_x = p1x Z[,A>tJ  
            p_y = k_bd * p_x + b_bd ^$!H|  
         Case "ac_y_bd_n" ?2q;`Nb  
            'ac线段方程 %KkMWl&:  
            k_ac = acy / acx QY^v*+lr\  
            b_ac = p1y - k_ac * p1x `|rr<Tsy\  
            p_x = p2x Knjg`f  
            p_y = k_ac * p_x + b_ac !,(6uO%  
        Case "ac_y_bd_y" -p-<mC@<&S  
           'ac，bd线段都要求 z#( `H6n:  
           k_ac = acy / acx JZUf-0q  
           b_ac = p1y - k_ac * p1x \#hp,XV>  
           k_bd = bdy / bdx Xi:y35q  
           b_bd = p2y - k_bd * p2x G-DvM6T  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 1v?|n8  
           p_y = k_ac * p_x + b_ac Z ? F*Z0y  
        End Select Edp%z"J;C  
      rt(1) = p_x 2Hp<(  
      rt(2) = p_y ]\.3<^  
     Ih;I&D+e;  
'计算最大半径 #cAX9LV  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) (2l?~CaK  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) tLD(%s_  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 0ECQ>Ux:  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) b~u53
  
Dim bb(5) As Single 9i?Q=Vuc~<  
  bb(1) = rr1 FQgc\-8tm  
  bb(2) = rr2 rIhe}1  
  bb(3) = rr3
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  bb(4) = rr4 Jg2*$gL;_  
  nb = rr1 mC,:.d  
For i = 1 To 4 6a%dq"5 +  
    If nb <= bb(i) Then kWKAtv5@w  
       nb = bb(i) 8wX|hK!Gz  
    End If DOa%|H'P  
Next i % k}+t3aF  
    rt(0) = Sqr(nb) 7xlarns   
    rr = rt() q qFN4AO  
  End If 6$y$ VeW  
         b;~?a#Z}  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  Hr/3nq}.  

68YJ@(iS  
有热压工艺方面的人才或者资料分享下； FTT=h0t  
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 kXY p.IVA  

高手真多！

楼主威武霸气.