[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： 8{HeHU  
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关键点说几个： Dn _D6H  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ics  
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 !%NxSJ  
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 p2
PD';"  

以下是几个重要的函数： bK; -Xcm  
1.判断点在区域中函数 zzuDI_,/  
2.计算夹角函数 JGSeu
=)  
3.转置函数 kR6rf
_-[  
4.得到区域中心点，及区域半径函数 TQ" [2cY  
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） Z?[;Japg  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 `?r
Ps8+R  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single X.xp
'/d  
   cax = x2 - x1 b`E0tZcJ  
   cay = y2 - y1 R+gh 2 6e  
   cbx = x2 - x3 o&g=Z4jj<  
   cby = y2 - y3 ):&A\nb  
   mo_jj = cax * cbx + cay * cby wsP3hE' ]  
   mo_ca = Sqr(cax * cax + cay * cay) #@Zz Bf  
   mo_cb = Sqr(cbx * cbx + cby * cby) uwQ{y>SG  
   cos_acb = mo_jj / (mo_ca * mo_cb) tHXt*tzq  
   'ff_cos = cos_acb H]"Z_n_  
   If cos_acb >= 1 Then M\,0<{  
   nn = 0 y .S0^  
   ElseIf cos_acb <= -1 Then 1]fqt[*)  
   nn = 3.14159265258979 x+nrdW+  
   Else
Hy|$7]1  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) J^pL_  
   End If )#T(2A  
   'ff_angle = nn KI-E=<zt  
   ff_angle = nn * 180 / 3.14159265258979 e<l Wel  
End Function

'判断点在区域内函数 ~{*FjZ`h  
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 ^]Lr_k  
Dim aob, boc, cod, doa, sum As Single ^;c!)0Q<Z  
  If ppx = p1x And ppy = p1y Then @YU}0&  
     point_in = True 4B<D.i ;}  
     Exit Function g*
b%  
  End If ToCB*GlL  
  If ppx = p2x And ppy = p2y Then st|$Fu  
     point_in = True IJs*zzR  
     Exit Function g/mVd;#o  
  End If 37a"<  
   If ppx = p3x And ppy = p3y Then R5r )01  
     point_in = True k
^p|H:  
     Exit Function "\vEi &C  
  End If `{N0+n  
     C"<l}  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) SBAq,F'  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) rV"<1y:g  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) d&(GIH E&d  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) S$%T0~PR~  
    sum = aob + boc + cod + doa ^uMy|d  
    If 360.01 > sum And sum > 359.99 Then TRcY!  
       point_in = True XtNe) Ry  
    Else 1V+a;-?  
       point_in = False 9&g//JlD  
    End If ul?'kuYk  
End Function

'得到点半径,得到交点坐标函数 @7"xDgA  
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() LU?X|{z  
    '求得中心点坐标 a,#f%#J\  
Dim tt As String c;&m}ImLe.  
Dim rt(3) As Single s!9.o_k  
    '判断是否平行 aM9^V MOb  
   acx = p3x - p1x go|/I&
  
   acy = p3y - p1y ]chcRc[!  
   bdx = p4x - p2x  PQa{5"  
   bdy = p4y - p2y '8 1M%KO  
   If acx * bdy = acy * bdx Then fYuJf,I[f  
      rt(0) = 0 XK`>#*"V  
      Exit Function 1C{n!l  
   Else V);{o>%.K  
      '判断斜率存在否 
fv5'Bl  
      If p1x = p3x And p2x <> p4x Then m[LIM}Gu  
         tt = "ac_n_bd_y" 2wlrei  
      ElseIf p1x <> p3x And p2x = p4x Then W% YJ.%I  
         tt = "ac_y_bd_n" c;xL.  
      ElseIf p1x <> p3x And p2x <> p4x Then U8c0N<j  
         tt = "ac_y_bd_y" 2Y(Phw2%  
      End If |[>`3p"&  
    Select Case tt <?yAIhgN*  
         Case "ac_n_bd_y" TKx.`Cf m  
            'bd线段方程 N0O8to}V  
            k_bd = bdy / bdx B0?E$8a  
            b_bd = p2y - k_bd * p2x jF<Y,(C\  
            p_x = p1x _UT>,c;h  
            p_y = k_bd * p_x + b_bd 7 }4T)k(a  
         Case "ac_y_bd_n" pD9*WKEf*  
            'ac线段方程 <T)9mJYr  
            k_ac = acy / acx RgHPYf{  
            b_ac = p1y - k_ac * p1x [uT&sZxmg  
            p_x = p2x '\(Us^Ug  
            p_y = k_ac * p_x + b_ac y"#o9"&>&  
        Case "ac_y_bd_y" S)iv k x  
           'ac，bd线段都要求 AY5%<CWj8  
           k_ac = acy / acx _VMW-trG
 
           b_ac = p1y - k_ac * p1x M9.jJf  
           k_bd = bdy / bdx 7Y&W^]UZ0t  
           b_bd = p2y - k_bd * p2x |g;hXr#~  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) P
p7}|/  
           p_y = k_ac * p_x + b_ac |_&vW
\  
        End Select 3!_y@sWx
 
      rt(1) = p_x 7"yA~e,l  
      rt(2) = p_y b6RuYwHWV0  
     n[|&nv6x  
'计算最大半径 G%Hr c  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) -8-  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 3 q^3znt  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) |>5NH'agV  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) iBVV5 f  
Dim bb(5) As Single 7<*sP%6bD  
  bb(1) = rr1 oTS*k: C'  
  bb(2) = rr2 -GLI$_lLF  
  bb(3) = rr3  )o`|t  
  bb(4) = rr4 NTASrh  
  nb = rr1 v#q7hw=  
For i = 1 To 4 W=|sy-N{2  
    If nb <= bb(i) Then a x4V(  
       nb = bb(i) X=USQj\A  
    End If 8)\TdtBf9  
Next i sMlY!3{Ix  
    rt(0) = Sqr(nb) vOy;=0$  
    rr = rt() =e=sK'NvD  
  End If {'C PLJ{R  
         [#`)Bb&w  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  L{)*evBL  

?mM6[\DFoT  
有热压工艺方面的人才或者资料分享下； &.D#OnRh9  
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 ZDffR:An  

高手真多！

楼主威武霸气.