[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： FS1z`wYP  
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关键点说几个： ],].zlN  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） I%Z  
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 HxI" 8A  
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 <OPArht  

以下是几个重要的函数： Gs[XJ 5%`~  
1.判断点在区域中函数 QmIBaMI#  
2.计算夹角函数 3;Fhg!ZO  
3.转置函数 #_lDss  
4.得到区域中心点，及区域半径函数 {(}By/_  
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） &kw@,];4Z  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 GuL<Z1<c  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 8dyg1F  
   cax = x2 - x1 @\I#^X5lv  
   cay = y2 - y1 FxtI"g\0  
   cbx = x2 - x3 dcT80sOC  
   cby = y2 - y3 {1 94!S4z  
   mo_jj = cax * cbx + cay * cby I++. ee  
   mo_ca = Sqr(cax * cax + cay * cay) N17RLz *\  
   mo_cb = Sqr(cbx * cbx + cby * cby) %u5]>]M+  
   cos_acb = mo_jj / (mo_ca * mo_cb) ^sg,\zD 'X  
   'ff_cos = cos_acb b>9>uC@J15  
   If cos_acb >= 1 Then O|UC ?]6  
   nn = 0 &iVs0R  
   ElseIf cos_acb <= -1 Then HUOj0T  
   nn = 3.14159265258979 7J&4akT{9  
   Else u>/ TE  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) +d-NL?c  
   End If GowH]MO  
   'ff_angle = nn 2)~>
R  
   ff_angle = nn * 180 / 3.14159265258979 ei5~&  
End Function

'判断点在区域内函数 o,3a4nH;  
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 c_l"I9M#r  
Dim aob, boc, cod, doa, sum As Single {cw /!B  
  If ppx = p1x And ppy = p1y Then @$K"o7+]   
     point_in = True
f'3$9x  
     Exit Function _n\GNUA  
  End If ?@ $r  
  If ppx = p2x And ppy = p2y Then hwNf~3eJk  
     point_in = True Q.c\/&  
     Exit Function 0'o:#-  
  End If 7i1q wRv  
   If ppx = p3x And ppy = p3y Then uhutg,[  
     point_in = True $]2vv
r  
     Exit Function r-/`"j{O!  
  End If ^L&iR0  
     `x%>8/  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) *siFj CN<  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 5d!-G$@  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) S?BG_J6A7  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) tIS<U(N;  
    sum = aob + boc + cod + doa Nu~lsWyRI5  
    If 360.01 > sum And sum > 359.99 Then 0Z]!/AsC  
       point_in = True VTHH&$ZNq  
    Else ]L}dzA?:
 
       point_in = False |)/aGZ+  
    End If Tkgs]q79  
End Function

'得到点半径,得到交点坐标函数 .y:U&Rw4  
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() h;NYdX5  
    '求得中心点坐标 ,L'zRyP  
Dim tt As String qK&d]6H R  
Dim rt(3) As Single PXNh&N  
    '判断是否平行 fw{gx  
   acx = p3x - p1x n#_$\ p>Yd  
   acy = p3y - p1y 2*#|Nj=^  
   bdx = p4x - p2x UU0,!?o4  
   bdy = p4y - p2y "AGLVp.zT  
   If acx * bdy = acy * bdx Then ] {HI?V  
      rt(0) = 0 0'?L#K  
      Exit Function "OnGE$  
   Else Nf1-!u7  
      '判断斜率存在否 lQkQ9##*  
      If p1x = p3x And p2x <> p4x Then %FIE\9  
         tt = "ac_n_bd_y" UFb)AnK  
      ElseIf p1x <> p3x And p2x = p4x Then AbmAKA@  
         tt = "ac_y_bd_n" pBA7,z"`mP  
      ElseIf p1x <> p3x And p2x <> p4x Then I"7u2"@-8j  
         tt = "ac_y_bd_y" ,{?%m6.lE  
      End If x{
/g(r={}  
    Select Case tt p,i[W.dy.'  
         Case "ac_n_bd_y" WlBc.kFck  
            'bd线段方程 SQt4v"  
            k_bd = bdy / bdx ,]c 1A$Sr0  
            b_bd = p2y - k_bd * p2x '}bgLv  
            p_x = p1x o`N9!M  
            p_y = k_bd * p_x + b_bd [-oc>;`=l  
         Case "ac_y_bd_n" t" Z6[XG  
            'ac线段方程 C/6V9;U  
            k_ac = acy / acx Jz *;q
~  
            b_ac = p1y - k_ac * p1x cJ @Wt>YI  
            p_x = p2x w%BL  
            p_y = k_ac * p_x + b_ac /{--+ C  
        Case "ac_y_bd_y" xbYi.  
           'ac，bd线段都要求 }s<4{:cv+  
           k_ac = acy / acx _X"N1,0  
           b_ac = p1y - k_ac * p1x B%+T2=&$7  
           k_bd = bdy / bdx ax5<#3__  
           b_bd = p2y - k_bd * p2x ?R.j^S^  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) E#t>Qn  
           p_y = k_ac * p_x + b_ac v^iL5y!  
        End Select 'qX|jtdM  
      rt(1) = p_x 7,9=uk>0\  
      rt(2) = p_y Q9G;V]./  
     *w0%d1  
'计算最大半径 PQ$%H>{  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) *CTlOy  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) a8Nh
=^Py  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) EV@X*| w  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) N `F~n%N  
Dim bb(5) As Single |02gupqqi  
  bb(1) = rr1 yT9@!]^L  
  bb(2) = rr2 dP]\Jo=Yh  
  bb(3) = rr3 H6 HVu |  
  bb(4) = rr4 I->Ss},U  
  nb = rr1 Cg?&wj<
 
For i = 1 To 4 ILShd)]Rw  
    If nb <= bb(i) Then HLaRGN3,  
       nb = bb(i) xCl1g4N  
    End If  dZ0vA\z|  
Next i G.dTvLv  
    rt(0) = Sqr(nb) s?,Ek  
    rr = rt() G@jZ)2  
  End If .qZ
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         zz4N5["  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  w2Jf^pR  

gVv>9W('  
有热压工艺方面的人才或者资料分享下； ;q:zT\A  
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]5sE]G
 

高手真多！

楼主威武霸气.