[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： 6R5Qy]]E  
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@o6L6Y0Naa  

关键点说几个： iyp=lLk  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） H4JTGt1"  
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 pD74+/DD  
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 7!$^r$t  

以下是几个重要的函数： xp9pl[l  
1.判断点在区域中函数 -Vhw^T1iV  
2.计算夹角函数 0C*7K?/  
3.转置函数 8Bg;Kh6B  
4.得到区域中心点，及区域半径函数 X~i<g?]  
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） evJ.<{M  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 HOh!Xcu  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single @jlw_ob2g  
   cax = x2 - x1 uL/m u<  
   cay = y2 - y1 bD8Gwi=iiu  
   cbx = x2 - x3 E`k@{*Hn&  
   cby = y2 - y3 u4|$bbig  
   mo_jj = cax * cbx + cay * cby 19KQlMO.G  
   mo_ca = Sqr(cax * cax + cay * cay) [=]4-q6UN  
   mo_cb = Sqr(cbx * cbx + cby * cby) lo!+f"7ym\  
   cos_acb = mo_jj / (mo_ca * mo_cb) ")HFYqP>9  
   'ff_cos = cos_acb [,KXze_m  
   If cos_acb >= 1 Then R+,u^;\  
   nn = 0  {s{j~M  
   ElseIf cos_acb <= -1 Then QZ%`/\(!8_  
   nn = 3.14159265258979 D+7Rz_=  
   Else `%Al>u5  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 9lDhIqx0~  
   End If !o[7wKrXb  
   'ff_angle = nn H&}
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   ff_angle = nn * 180 / 3.14159265258979  xLZG:^(I  
End Function

'判断点在区域内函数 f_Av3  
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 ;H.^i|_/  
Dim aob, boc, cod, doa, sum As Single WPG(@zD  
  If ppx = p1x And ppy = p1y Then PO7Lf#9]  
     point_in = True @\P
;W(m.i  
     Exit Function pDCeQ6?  
  End If kO*$"w#X[p  
  If ppx = p2x And ppy = p2y Then be^6i:  
     point_in = True \1 &,|\E#  
     Exit Function JOLaP@IPT  
  End If WoRZW%  
   If ppx = p3x And ppy = p3y Then z4]api(xZ  
     point_in = True \3aoM{ztD  
     Exit Function 2nIw7>.}f  
  End If W+X6@/BO  
     9dUravC7  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) |(L
Z9I  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) oVe|Mss6  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) zY!j:FT1HY  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Gc;{\VU  
    sum = aob + boc + cod + doa s '\Uap  
    If 360.01 > sum And sum > 359.99 Then xzZ38xIhV  
       point_in = True //<nr\oP  
    Else ,1CIBFY  
       point_in = False xZwLlY  
    End If YCM]VDx4u1  
End Function

'得到点半径,得到交点坐标函数 .QJ5sgmh  
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() wlk4*4dKn  
    '求得中心点坐标 Y+*0~xm4  
Dim tt As String m?fy^>1  
Dim rt(3) As Single v,{yU\)  
    '判断是否平行 &Ao+X=qw  
   acx = p3x - p1x sN2p76KN  
   acy = p3y - p1y ~h85BF5  
   bdx = p4x - p2x 5r8<7g:>C  
   bdy = p4y - p2y gSUcx9f]  
   If acx * bdy = acy * bdx Then Y M\ K%rk  
      rt(0) = 0 K&70{r  
      Exit Function ^ ALly2
  
   Else A}N?/{y)G  
      '判断斜率存在否 HbAkZP  
      If p1x = p3x And p2x <> p4x Then -w_QJ_z_  
         tt = "ac_n_bd_y" ime\f*Fg  
      ElseIf p1x <> p3x And p2x = p4x Then 
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         tt = "ac_y_bd_n" IS 2^g>T#1  
      ElseIf p1x <> p3x And p2x <> p4x Then /1Q(b  
         tt = "ac_y_bd_y" 2Mmz%S'd  
      End If (Dl$kGn  
    Select Case tt xt%7@/hiE  
         Case "ac_n_bd_y" /!$c/QZ  
            'bd线段方程 sOJQ,"sB  
            k_bd = bdy / bdx ~ZEmU
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            b_bd = p2y - k_bd * p2x M#VE]J  
            p_x = p1x vUU9$x  
            p_y = k_bd * p_x + b_bd .my0|4CQ#@  
         Case "ac_y_bd_n" U`d5vEhT  
            'ac线段方程 db6b-Y{
 
            k_ac = acy / acx OJ$]V,Z00x  
            b_ac = p1y - k_ac * p1x ]0)|7TV*  
            p_x = p2x VG5+CU  
            p_y = k_ac * p_x + b_ac a]/>ra5{  
        Case "ac_y_bd_y" ]<pjXVRt"  
           'ac，bd线段都要求 _m'Fr 7  
           k_ac = acy / acx WIf0z#JMJm  
           b_ac = p1y - k_ac * p1x )3w@]5j  
           k_bd = bdy / bdx r1LViK  
           b_bd = p2y - k_bd * p2x TAF PawH  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) {{MRELipW  
           p_y = k_ac * p_x + b_ac 7:3$Ey  
        End Select &LVn6zAba  
      rt(1) = p_x ac.Ms(D  
      rt(2) = p_y  %. ,=maA  
     U,q\emR  
'计算最大半径 i Ae<&Ms  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) {
v2|g  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) xJZ>uTN  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ,7NZu0  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) q+]h=:5=I  
Dim bb(5) As Single w1"nffhO  
  bb(1) = rr1 MP 2~;T}~  
  bb(2) = rr2 C{DvD'^  
  bb(3) = rr3 YY!6/5*/]  
  bb(4) = rr4 +0q>fp_K(+  
  nb = rr1 Pgus42f%  
For i = 1 To 4 Kt|1&Gk  
    If nb <= bb(i) Then QC;^xG+W  
       nb = bb(i) KiOcu=F  
    End If iN0nw
]_*  
Next i .0O2Qqdg  
    rt(0) = Sqr(nb) F
[[TWf/  
    rr = rt() $K'|0  
  End If Y=n4K<  
         /&{$ pM|?  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  Q9&kJ%Mo  

K[7EOXLy  
有热压工艺方面的人才或者资料分享下； "h7tnMS  
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 zn@N'R/  

高手真多！

楼主威武霸气.