[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： CzCQFqXI  
YW@#91.  
?E%ELs_Dl  

关键点说几个： `LAR@a5i  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） R" )bDy?  
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 zA+~7;7E  
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 CC\*?BKj"  

以下是几个重要的函数： #ET/=  
1.判断点在区域中函数 uZfnzd)c  
2.计算夹角函数 {-|{xBd  
3.转置函数 >#Q\DsDS  
4.得到区域中心点，及区域半径函数 %sHF-n5P  
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） U9D!GKVp  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 #Z6'?p9  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single s"Pf+aTW
 
   cax = x2 - x1 "4vy lHIo  
   cay = y2 - y1 s w39\urf  
   cbx = x2 - x3 ^Y-]*8;]  
   cby = y2 - y3 tmqY2.  
   mo_jj = cax * cbx + cay * cby p-1 3H0Kt  
   mo_ca = Sqr(cax * cax + cay * cay) asY[8r?U  
   mo_cb = Sqr(cbx * cbx + cby * cby) cZ)}LX  
   cos_acb = mo_jj / (mo_ca * mo_cb) DjSbyXvrg  
   'ff_cos = cos_acb P!"&%d  
   If cos_acb >= 1 Then OKFtl  
   nn = 0 J'N!Omz  
   ElseIf cos_acb <= -1 Then [D*UT#FM  
   nn = 3.14159265258979 /-bO!RTwf  
   Else r}uz7}z %"  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ,V*%V;  
   End If ^bEc6`eE  
   'ff_angle = nn -V:"l  
   ff_angle = nn * 180 / 3.14159265258979 1"pw  
End Function

'判断点在区域内函数 Nbp!teH6
  
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 Zh_|m#)  
Dim aob, boc, cod, doa, sum As Single R
'S0 zp6  
  If ppx = p1x And ppy = p1y Then 271&i  
     point_in = True -!c"k}N=  
     Exit Function i+gQE!  
  End If  J/}:x;Y  
  If ppx = p2x And ppy = p2y Then r2k2%nI-J  
     point_in = True K~22\G`  
     Exit Function d>{nQF;c  
  End If byv[yGa`  
   If ppx = p3x And ppy = p3y Then 
Q'%PNrN  
     point_in = True 
C`5  
     Exit Function U#3J0+!  
  End If G#MdfKH  
     =b/L?dR.-  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) }[M`uZ  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 8=]Tr3   
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) B, 9w0  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) ATR!7i\|  
    sum = aob + boc + cod + doa ij?  
    If 360.01 > sum And sum > 359.99 Then /PLn+-  
       point_in = True
F$[ U|%*  
    Else qG<$Ajiin  
       point_in = False |jM4E$  
    End If XP@1~$  
End Function

'得到点半径,得到交点坐标函数 G#?Sfn O0  
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() CP6LHkM9  
    '求得中心点坐标 DZ_lW  
Dim tt As String V =-WYu  
Dim rt(3) As Single f aLtdQi  
    '判断是否平行 rfq;%C  
   acx = p3x - p1x 2z|*xS'G  
   acy = p3y - p1y ?.YOI.U^  
   bdx = p4x - p2x v{A KEX*  
   bdy = p4y - p2y H=\3Jj(4
 
   If acx * bdy = acy * bdx Then /RMPS. d {  
      rt(0) = 0 eQ&ZX3*}  
      Exit Function I6Ce_|n ?k  
   Else 5Lf{8UxI  
      '判断斜率存在否 7P9=)$(EH  
      If p1x = p3x And p2x <> p4x Then AGbhJ=tB
 
         tt = "ac_n_bd_y" 4fKC6UR  
      ElseIf p1x <> p3x And p2x = p4x Then "70WUx(\t  
         tt = "ac_y_bd_n" Jm42b4  
      ElseIf p1x <> p3x And p2x <> p4x Then 65Cg]Dt71  
         tt = "ac_y_bd_y" $ >EY
hLBa  
      End If X@f "-\  
    Select Case tt xl#LrvxI  
         Case "ac_n_bd_y" D#o}cC.  
            'bd线段方程 ~I}&V T  
            k_bd = bdy / bdx DS)RX.k_
#  
            b_bd = p2y - k_bd * p2x o0pII )v  
            p_x = p1x [B|MlrZ  
            p_y = k_bd * p_x + b_bd EbdfV-E  
         Case "ac_y_bd_n" *Q,0W:~-  
            'ac线段方程 o9H^?Rut  
            k_ac = acy / acx pbU!dOU~e  
            b_ac = p1y - k_ac * p1x =X.9,$Y  
            p_x = p2x _~T!9  
            p_y = k_ac * p_x + b_ac >>5NX"{  
        Case "ac_y_bd_y" kbMYMx.[  
           'ac，bd线段都要求 ;]pJj6J&v  
           k_ac = acy / acx dX)GPC-D7  
           b_ac = p1y - k_ac * p1x /;
utcc  
           k_bd = bdy / bdx D&/L:   
           b_bd = p2y - k_bd * p2x di>cMS 4 c  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) Ck!VV2U#  
           p_y = k_ac * p_x + b_ac 8A+SjJ4$  
        End Select T16{_  
      rt(1) = p_x 4Z/Q=Mq2  
      rt(2) = p_y `YIf_a{  
     g2T -TG'd  
'计算最大半径 %y%j*B!%  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) YE9,KVV;$n  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) oD$J0{K6  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) rhb@FE)Mc  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 4'LB7}WG  
Dim bb(5) As Single )-`;1ca)s  
  bb(1) = rr1 HdPoO;  
  bb(2) = rr2 N+y&,N,  
  bb(3) = rr3 m2v'WY5u  
  bb(4) = rr4 `IY/9'vT  
  nb = rr1 L_K=g_]  
For i = 1 To 4 ~R@Nd~L  
    If nb <= bb(i) Then [NTtz <i@  
       nb = bb(i) g=$1cC+(  
    End If pf_mf.  
Next i r!{LLc}>  
    rt(0) = Sqr(nb) ?|ZTaX6A  
    rr = rt() as>L[jyG/  
  End If :G<E^<M\)^  
         `8
Lo{P  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  }E7:ihy  

3S&U!  
有热压工艺方面的人才或者资料分享下； "{D|@
Bc  
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 2m~V{mUT!  

高手真多！

楼主威武霸气.