[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： 2O<Sig=  
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wS``Q8K+dM  

关键点说几个： )Bb :tz+  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） /rvXCA)j  
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 ,J}lyvkd  
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 s$H5W`3  

以下是几个重要的函数： N..9N$+(  
1.判断点在区域中函数 5Qy,Pkje  
2.计算夹角函数 (a^F`#]  
3.转置函数 \F1nEj  
4.得到区域中心点，及区域半径函数 +Kf::[wP7  
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） D"^ogY#LK  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 OVj,qL)  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single
3_33@MM  
   cax = x2 - x1 e;!<3b  
   cay = y2 - y1 >`oO(d}n[0  
   cbx = x2 - x3 ^eZqsd8a  
   cby = y2 - y3 JBoo7a1  
   mo_jj = cax * cbx + cay * cby X0!48fL*  
   mo_ca = Sqr(cax * cax + cay * cay) xUSIck  
   mo_cb = Sqr(cbx * cbx + cby * cby) 7kJ,;30)  
   cos_acb = mo_jj / (mo_ca * mo_cb) rtzxMCSEU  
   'ff_cos = cos_acb B"Fg`s+]U  
   If cos_acb >= 1 Then 7s.sbP~  
   nn = 0 c!841~p(Q  
   ElseIf cos_acb <= -1 Then )L#I#%  
   nn = 3.14159265258979 _@^msyoq  
   Else 0;XnNz3&  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ~+T~}S  
   End If P}VD}lEyO  
   'ff_angle = nn Eydk645:3  
   ff_angle = nn * 180 / 3.14159265258979 IF1?/D"<  
End Function

'判断点在区域内函数 
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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 Fh?q;oEj  
Dim aob, boc, cod, doa, sum As Single  Ng-3|N  
  If ppx = p1x And ppy = p1y Then Z#Zk)  
     point_in = True ml3]CcKn  
     Exit Function O^IpfS\/  
  End If @|cas|U.r  
  If ppx = p2x And ppy = p2y Then =nY*,Xu<  
     point_in = True s+(8KYTs`  
     Exit Function -bs~{  
  End If U,+=>ns>  
   If ppx = p3x And ppy = p3y Then \?GMtM,  
     point_in = True  oR5
`-  
     Exit Function UCq+F96j  
  End If RQh4RUm  
     QiZThAe  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) gx9H=c
>/  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) lJKU^?4S8  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) gGZ$}vX  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) nNL9B~d  
    sum = aob + boc + cod + doa &1VC0"YJWy  
    If 360.01 > sum And sum > 359.99 Then jmAWto}.  
       point_in = True D&]SPhX  
    Else M/#<=XhA  
       point_in = False gN(8T_r  
    End If 
#|gt(p]C  
End Function

'得到点半径,得到交点坐标函数 }9@,EEhg  
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() EY&hWl*a^  
    '求得中心点坐标 )TV'eq  
Dim tt As String d7l0;yR&+  
Dim rt(3) As Single :;]6\/ky  
    '判断是否平行 J;G+6C$:  
   acx = p3x - p1x WzZb-F  
   acy = p3y - p1y 6R#f 8  
   bdx = p4x - p2x sH#UM(N  
   bdy = p4y - p2y 7zy6`OP  
   If acx * bdy = acy * bdx Then hPH=.rX  
      rt(0) = 0 EAx@a%  
      Exit Function *R8q)Q  
   Else h*&-[nSo  
      '判断斜率存在否 {aAA4.j^  
      If p1x = p3x And p2x <> p4x Then 5H>[@_u+:  
         tt = "ac_n_bd_y" ULAAY$o@5  
      ElseIf p1x <> p3x And p2x = p4x Then Rl-Sr  
         tt = "ac_y_bd_n" wD"Y
1?Mr  
      ElseIf p1x <> p3x And p2x <> p4x Then 6x6PP}IX  
         tt = "ac_y_bd_y" NCd_h<}|6F  
      End If >H?8?a D  
    Select Case tt p)Z$q2L  
         Case "ac_n_bd_y" i!jxjP  
            'bd线段方程 ZOfyy E  
            k_bd = bdy / bdx Qnph?t>  
            b_bd = p2y - k_bd * p2x <+pwGKtD  
            p_x = p1x EubF`w$KWX  
            p_y = k_bd * p_x + b_bd =A04E  
         Case "ac_y_bd_n" L)J0TSh  
            'ac线段方程 g/'M
ECB  
            k_ac = acy / acx !{"{(h)+@  
            b_ac = p1y - k_ac * p1x ^q7 fN0"6  
            p_x = p2x A2g+m  
            p_y = k_ac * p_x + b_ac KR%DpQ&{'  
        Case "ac_y_bd_y" 0Ocy$  
           'ac，bd线段都要求 hH|3s-o  
           k_ac = acy / acx GR Rv0M  
           b_ac = p1y - k_ac * p1x -dZ7;n5&_  
           k_bd = bdy / bdx "\)j=MI8u+  
           b_bd = p2y - k_bd * p2x s9@/(_  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 6Jrh'6o@  
           p_y = k_ac * p_x + b_ac BUuNI_?M#5  
        End Select |Fm(  
      rt(1) = p_x Ztr,v$  
      rt(2) = p_y W{Ine> a'  
     (%YFcE)SRS  
'计算最大半径 "i(k8+iK  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 2D>WIOX  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) fOtL6/?  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) u-$(TyDEl|  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) V*2uW2\}  
Dim bb(5) As Single a4Fe MCvV9  
  bb(1) = rr1 :B6hYx  
  bb(2) = rr2 db'Jl^  
  bb(3) = rr3 xJ:15eDC  
  bb(4) = rr4 ,dLh`t<\  
  nb = rr1 C%9;~S  
For i = 1 To 4 D ]:sR  
    If nb <= bb(i) Then c-(,%0G0  
       nb = bb(i) *?VbN}g2  
    End If !MOVv\@O  
Next i 3Gubq4r  
    rt(0) = Sqr(nb) T6*naH  
    rr = rt() ?<
STt 9  
  End If ?k CK$P  
         ba^B$$?Bo  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  uTTM%-DMHT  

Whp;wAz  
有热压工艺方面的人才或者资料分享下； .@KpN*`KH  
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 G8b/eWtP  

高手真多！

楼主威武霸气.