[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： h,C?%H+/0Q  
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图片:2.jpg

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关键点说几个： M4:}`p=  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） pK~K>8\  
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 AK*F,H9  
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 O1_dA%m  

以下是几个重要的函数： 6(`Bl$M9  
1.判断点在区域中函数 .D`""up|{  
2.计算夹角函数 .WR+)^&zz  
3.转置函数 >6(91J  
4.得到区域中心点，及区域半径函数 [o=v"s't)  
5.再有就是若干个点抽取其中一部分；或者采用随机分布（该方法会有重合点，所以没采用） '}D$"2I*  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 `&"-|  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single y/ #{pyJ  
   cax = x2 - x1 "]dNN{Wka  
   cay = y2 - y1 RQZ|:SvV  
   cbx = x2 - x3 mE"?{~XVL  
   cby = y2 - y3 l0m\2Ttf  
   mo_jj = cax * cbx + cay * cby Z2]ySyt]  
   mo_ca = Sqr(cax * cax + cay * cay) \B'rWk33,  
   mo_cb = Sqr(cbx * cbx + cby * cby) ]Y'oxh  
   cos_acb = mo_jj / (mo_ca * mo_cb) fXPD^}?Ux4  
   'ff_cos = cos_acb ptS1
d$  
   If cos_acb >= 1 Then N|v3a>;*l  
   nn = 0 abq$OI  
   ElseIf cos_acb <= -1 Then p=Nord  
   nn = 3.14159265258979 S?W!bkfn  
   Else H}OOkzwrA  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 5V5E,2+ 0  
   End If
a$7}_kb  
   'ff_angle = nn vpy_piG|  
   ff_angle = nn * 180 / 3.14159265258979 HeagT(rN'  
End Function

'判断点在区域内函数 JfmNI~%  
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 5} 9}4e  
Dim aob, boc, cod, doa, sum As Single @_tQ:U,v  
  If ppx = p1x And ppy = p1y Then #Y3:~dmJ-  
     point_in = True J`T1 88  
     Exit Function c5K@<=?,E  
  End If /YbyMj*  
  If ppx = p2x And ppy = p2y Then q
W57h8M  
     point_in = True ;- D1n  
     Exit Function +?[,y  
  End If ffuV158a&  
   If ppx = p3x And ppy = p3y Then _c=[P@  
     point_in = True &+?JY|u  
     Exit Function oyGO!j  
  End If pu(a&0  
     )P:r;a'  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) lP>}9^7I!  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) +~O0e-d  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) &TqY\l  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) $EjM)  
    sum = aob + boc + cod + doa ~c~$2Xo  
    If 360.01 > sum And sum > 359.99 Then _pSCv:3T  
       point_in = True \#P>k;D  
    Else d,fX3  
       point_in = False 3PB#m.N<  
    End If 3/P#2&jt  
End Function

'得到点半径,得到交点坐标函数 3[kY:5-  
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() oVPtA
@  
    '求得中心点坐标 d'~sy>  
Dim tt As String h_K(8{1  
Dim rt(3) As Single nJJ9>#<g$  
    '判断是否平行 ]I9Hbw  
   acx = p3x - p1x +.N3kH  
   acy = p3y - p1y \%nFCK0  
   bdx = p4x - p2x [#y/`  
   bdy = p4y - p2y Hl"qLrb4  
   If acx * bdy = acy * bdx Then (fmcWHs  
      rt(0) = 0 tETT\y|'  
      Exit Function 14TA( v]T  
   Else N zY}-:{  
      '判断斜率存在否 [
h "*>J{  
      If p1x = p3x And p2x <> p4x Then ViV"+b#gu  
         tt = "ac_n_bd_y" PI>PEge!&  
      ElseIf p1x <> p3x And p2x = p4x Then Ue:'55  
         tt = "ac_y_bd_n" +NGjDa  
      ElseIf p1x <> p3x And p2x <> p4x Then %Z@+K_X9x  
         tt = "ac_y_bd_y" O>)<w Ms`  
      End If 1O bxQ_x  
    Select Case tt Txkmt$h  
         Case "ac_n_bd_y" & 2MI(9v  
            'bd线段方程 {HKd="%VG  
            k_bd = bdy / bdx `UFRv  
            b_bd = p2y - k_bd * p2x _3UH"9g{  
            p_x = p1x Nx~9Ug  
            p_y = k_bd * p_x + b_bd (are2!Oq  
         Case "ac_y_bd_n" w9I7pIIl  
            'ac线段方程 k=,,s(]tx  
            k_ac = acy / acx W=T3spV  
            b_ac = p1y - k_ac * p1x f,9jK9/$  
            p_x = p2x #3@ Du(_n  
            p_y = k_ac * p_x + b_ac R<VNbm;  
        Case "ac_y_bd_y" yjZ]_.  
           'ac，bd线段都要求 uU v yZ  
           k_ac = acy / acx BKDs3?&  
           b_ac = p1y - k_ac * p1x +TW9BU'a^  
           k_bd = bdy / bdx -"qw5Y_oF?  
           b_bd = p2y - k_bd * p2x J+f .r|?  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) y,&UST  
           p_y = k_ac * p_x + b_ac 7a_pO1MBL  
        End Select aY8"Sw|4  
      rt(1) = p_x c|<*w[%C  
      rt(2) = p_y 2Y_ `&  
     ugexkdgM  
'计算最大半径 ji(W+tQ2Y'  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) /C(lQs*l  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) QjH;'OVt  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 70NQ9*AAy  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) r\7F}ZW/  
Dim bb(5) As Single yX%T-/XJ  
  bb(1) = rr1 oJC-?  
  bb(2) = rr2 K8NoY6  
  bb(3) = rr3 [(v?Z`cX\  
  bb(4) = rr4 ]H8CVue  
  nb = rr1 [r'P
Gx  
For i = 1 To 4 }:u" ?v=|j  
    If nb <= bb(i) Then 7%?2>t3~  
       nb = bb(i) B6)d2O9C  
    End If +jzwi3B`  
Next i (_G&S~@.  
    rt(0) = Sqr(nb) fE"Q:K6r2  
    rr = rt() T^LpoN/T  
  End If Fu4LD-#  
         :uhU<H<,f  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  uTsxSkHb/  

Z(Styn/x  
有热压工艺方面的人才或者资料分享下； L$R"?O7  
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 !*2cK>`  

高手真多！

楼主威武霸气.