[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： rOyK==8/Fg  
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关键点说几个： HC*=E.J  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ( Z\OqG  
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 N6cf`xye  
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 rK)So#'  

以下是几个重要的函数： #w*1 !  
1.判断点在区域中函数 rhMsZ={M  
2.计算夹角函数 Sh=E.!  
3.转置函数 6b9Ddb*  
4.得到区域中心点，及区域半径函数 N)lzX X  
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） 6%JKY
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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{-@  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single v/c8P\  
   cax = x2 - x1 ]3 YJEP  
   cay = y2 - y1 U;D!m+.HK  
   cbx = x2 - x3 R<Ojaj=V  
   cby = y2 - y3 zawU  
   mo_jj = cax * cbx + cay * cby 3uwu}aw  
   mo_ca = Sqr(cax * cax + cay * cay) miCt)Qd  
   mo_cb = Sqr(cbx * cbx + cby * cby) WiH%URFB  
   cos_acb = mo_jj / (mo_ca * mo_cb) -TU7GCb=  
   'ff_cos = cos_acb 7B_;YT  
   If cos_acb >= 1 Then LU_@8i:  
   nn = 0 :&mYz(1q  
   ElseIf cos_acb <= -1 Then '
jZ2^  
   nn = 3.14159265258979 8JAA?0L"'  
   Else fa=#S  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 3%/]y=rA  
   End If xgrk>Fb|R  
   'ff_angle = nn /u<lh. hPW  
   ff_angle = nn * 180 / 3.14159265258979 <^UB@'lCm  
End Function

'判断点在区域内函数 bS3qX{5  
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 sRE$*^i
 
Dim aob, boc, cod, doa, sum As Single U>(5J,G  
  If ppx = p1x And ppy = p1y Then gd
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     point_in = True mq[(yR  
     Exit Function t^&:45~Q  
  End If 2}'qu)  
  If ppx = p2x And ppy = p2y Then {0lY\#qcE  
     point_in = True &jl'1mZ  
     Exit Function rwtSn?0z"  
  End If 
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   If ppx = p3x And ppy = p3y Then oB-&ma[ZS  
     point_in = True #-'=)l}i1A  
     Exit Function owCQ71Q  
  End If o$\{&:y  
     ,cWO Ak  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 82~UI'f \  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 8d-; ;V  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) -3qB,KT  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) nR6~oB{-  
    sum = aob + boc + cod + doa H.7gSB1  
    If 360.01 > sum And sum > 359.99 Then i`gsT[JQRX  
       point_in = True h76#HUBr!  
    Else wHBkaPO!  
       point_in = False E(4ti]'4  
    End If W:3u$LTf*f  
End Function

'得到点半径,得到交点坐标函数 ,4NvD2Y  
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() DOkEWqM!  
    '求得中心点坐标 6[69|&  
Dim tt As String 4.,e3  
Dim rt(3) As Single ?p. dc~tZ  
    '判断是否平行 B+jT|Y'  
   acx = p3x - p1x +LQ2To  
   acy = p3y - p1y BXa1[7Z  
   bdx = p4x - p2x !
}"npUgE  
   bdy = p4y - p2y E;$t|~#  
   If acx * bdy = acy * bdx Then 'M_8U0k  
      rt(0) = 0 S5"xb  
      Exit Function D,mFme  
   Else 1ScfX\F=  
      '判断斜率存在否 J6hWcA6g  
      If p1x = p3x And p2x <> p4x Then (*/P~$xIj  
         tt = "ac_n_bd_y" K
>RL  
      ElseIf p1x <> p3x And p2x = p4x Then yZb@  
         tt = "ac_y_bd_n" u7^Z7
; J  
      ElseIf p1x <> p3x And p2x <> p4x Then g"2@E  
         tt = "ac_y_bd_y" @IB8(TZ5I  
      End If '$ s:cS`=  
    Select Case tt |QAmN>7U  
         Case "ac_n_bd_y" vO]gj/SaT  
            'bd线段方程 \&R}JK  
            k_bd = bdy / bdx bsr  
            b_bd = p2y - k_bd * p2x Y;e@`.(  
            p_x = p1x ]}ff*W  
            p_y = k_bd * p_x + b_bd Uk S86`.  
         Case "ac_y_bd_n" 
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            'ac线段方程 IB}.J,=  
            k_ac = acy / acx PaMi5Pq  
            b_ac = p1y - k_ac * p1x T(a*d7  
            p_x = p2x 4J!1$  
            p_y = k_ac * p_x + b_ac xO/44D  
        Case "ac_y_bd_y" A7VF >{L./  
           'ac，bd线段都要求 IhM-a Y y5  
           k_ac = acy / acx MG8-1M  
           b_ac = p1y - k_ac * p1x $]|_xG-6{  
           k_bd = bdy / bdx b7aAP*$  
           b_bd = p2y - k_bd * p2x /iy2j8:z  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) Bpo~x2p  
           p_y = k_ac * p_x + b_ac { zlq6z  
        End Select 9rn!U2  
      rt(1) = p_x ]K XknEaxl  
      rt(2) = p_y sFSrMI#R  
     @faf  
'计算最大半径 RZOk.~[v  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) ~i))Zc3,g\  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 5w}xjOYIjV  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) bCd! ap+#  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) tDy1Gh/c  
Dim bb(5) As Single m$QFtrvy  
  bb(1) = rr1 4z#CkT  
  bb(2) = rr2 BzTm[`(h  
  bb(3) = rr3 CrS[FM= +W  
  bb(4) = rr4 gJs~kQU  
  nb = rr1 ?Z1pPd@  
For i = 1 To 4 *'d5~dz=  
    If nb <= bb(i) Then  ynZ
!  
       nb = bb(i) !Z%QD\knY  
    End If uBl&|yvxB  
Next i Ko/_w_  
    rt(0) = Sqr(nb) :w:5;cmV  
    rr = rt() Qksw+ZjY#{  
  End If <@F4{*  
         G|3OB:  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  [2&Fnmjk}X  

lJU[9)Q_  
有热压工艺方面的人才或者资料分享下； !).D  
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 V}aXS;(r%  

高手真多！

楼主威武霸气.