[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： r8!pk~R5]  
.$ YYN/+W  

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关键点说几个： jw 5 U-zi  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） X[f)0w%  
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 bTZ.y.sI  
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 B !wr}]  

以下是几个重要的函数： I_k
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1.判断点在区域中函数 K5t.
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2.计算夹角函数 MZB}O" r  
3.转置函数 ao[yHcAs  
4.得到区域中心点，及区域半径函数  qmenj  
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） rkR~%U6V  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 rLA-q||  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single oA7|s1  
   cax = x2 - x1 -P&uY`  
   cay = y2 - y1 9_e_Ne`i`?  
   cbx = x2 - x3 b& -8/t  
   cby = y2 - y3 /L@6Ae  
   mo_jj = cax * cbx + cay * cby x;-D}#  
   mo_ca = Sqr(cax * cax + cay * cay) Kp1 F"!  
   mo_cb = Sqr(cbx * cbx + cby * cby) " vc4QH$  
   cos_acb = mo_jj / (mo_ca * mo_cb) 1oQbV`P  
   'ff_cos = cos_acb Zk>m!F>,p  
   If cos_acb >= 1 Then @$ lX%p>  
   nn = 0 O=lRI)6w@e  
   ElseIf cos_acb <= -1 Then XW@C_@*J  
   nn = 3.14159265258979 /=A@O !l  
   Else 7~'%ThUb$-  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) W- nS{v(  
   End If RrYNtc  
   'ff_angle = nn s0/m qZ]s  
   ff_angle = nn * 180 / 3.14159265258979 :}/\hz ,  
End Function

'判断点在区域内函数 jO|`aUYTf  
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 {4f%UnSz(  
Dim aob, boc, cod, doa, sum As Single l @@pXg3  
  If ppx = p1x And ppy = p1y Then F MYcZ+4  
     point_in = True @PhAg  
     Exit Function 6Yt3Oq<U  
  End If `w8cV?  
  If ppx = p2x And ppy = p2y Then \Cin%S.C  
     point_in = True Gl45HyY_  
     Exit Function qQO*:_ezzk  
  End If $=^}J6  
   If ppx = p3x And ppy = p3y Then (nuTfmt>  
     point_in = True v)nv"o[  
     Exit Function X%fLV(  
  End If U2vb&Qu/  
     )=x4+)9  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) >9#) obw  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) &TrL!9FtJ  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) .pm%qEh  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) TL7qOA7^X  
    sum = aob + boc + cod + doa 0Q,Tcj  
    If 360.01 > sum And sum > 359.99 Then yfR0vp<&  
       point_in = True yv>uzb`N  
    Else {TMng&
 
       point_in = False ) .' + {  
    End If {.o4U0+  
End Function

'得到点半径,得到交点坐标函数 t U~q4$qqE  
Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() r;H#cMj  
    '求得中心点坐标 pmi[M)D  
Dim tt As String "SWL@}8vx  
Dim rt(3) As Single V|HO*HiB3  
    '判断是否平行 -y?ve od#  
   acx = p3x - p1x 
m6xbO  
   acy = p3y - p1y iXXaB+w  
   bdx = p4x - p2x o: > (Tv  
   bdy = p4y - p2y K>XZrt  
   If acx * bdy = acy * bdx Then <8Zs;>YuK  
      rt(0) = 0 '%*hs8s  
      Exit Function s*i,Ph  
   Else j>v8i bS(  
      '判断斜率存在否 .N\t3\9}  
      If p1x = p3x And p2x <> p4x Then Ag2Q!cq  
         tt = "ac_n_bd_y" |Dq?<Ha  
      ElseIf p1x <> p3x And p2x = p4x Then 8(S|=cR  
         tt = "ac_y_bd_n" ZGC
p[2$  
      ElseIf p1x <> p3x And p2x <> p4x Then Zc&pJP+M'U  
         tt = "ac_y_bd_y" $ >].;y?$  
      End If EKsOj&ZiJ  
    Select Case tt By}ZHK94I  
         Case "ac_n_bd_y" %P#| }  
            'bd线段方程 F4Cq85#  
            k_bd = bdy / bdx >!o!rs  
            b_bd = p2y - k_bd * p2x 9fM=5  
            p_x = p1x 4ISIg\:c*  
            p_y = k_bd * p_x + b_bd j0Os]a  
         Case "ac_y_bd_n" JlEfUg#*  
            'ac线段方程 o`'4EVw*  
            k_ac = acy / acx
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            b_ac = p1y - k_ac * p1x ?A*<Z%}1?  
            p_x = p2x >^<;;8Xh  
            p_y = k_ac * p_x + b_ac HFz;"s3lWM  
        Case "ac_y_bd_y" w^3S6lK  
           'ac，bd线段都要求 v"Ryg]^_  
           k_ac = acy / acx 8/ukzY1!  
           b_ac = p1y - k_ac * p1x "l#"c{ee{  
           k_bd = bdy / bdx V$u:5"qu0  
           b_bd = p2y - k_bd * p2x jr-9KxE  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) e-lc2$o7{  
           p_y = k_ac * p_x + b_ac :inVwc  
        End Select {\LLiU}MJC  
      rt(1) = p_x ~rAcT6#  
      rt(2) = p_y X~\O]  
     M$6;&T  
'计算最大半径 a/%qn-i|p  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) evVxzU&  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) rO/Sj<0^  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) wW<u)|>ye  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ^b=;  
Dim bb(5) As Single %y)hYLOJ  
  bb(1) = rr1 1h)K3cC  
  bb(2) = rr2 hOdU%  
  bb(3) = rr3 UCTc$3  
  bb(4) = rr4 {)Wa"|+  
  nb = rr1 Ru);wzky  
For i = 1 To 4 :."+&gb  
    If nb <= bb(i) Then :kjs: 6f]  
       nb = bb(i) Ou f\%E<  
    End If ]{ch
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Next i 2%H_%Zu9  
    rt(0) = Sqr(nb) ,hT**(W  
    rr = rt() AOTtAV_e  
  End If T[cJ
  
         F hyY+{%  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  *nV"X0&  

$ao7pvU6  
有热压工艺方面的人才或者资料分享下； M{YN^ Kk  
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 ;i?R+T  

高手真多！

楼主威武霸气.