[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： zMbz_22*  
D&nVkZP>  
{/K_NSg+h  

关键点说几个： .wJv_  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ZhYOz  
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 <imIgt|`2  
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 :y8wv|m  

以下是几个重要的函数： \\9$1yg  
1.判断点在区域中函数 4Y:[YlfD.  
2.计算夹角函数 flzHZH  
3.转置函数 ^*A8 NdaB  
4.得到区域中心点，及区域半径函数 M73d^
z  
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） 9e>Dqlv  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 %jnSJjcq  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single JOvRUDZ  
   cax = x2 - x1 yo@S.7[/  
   cay = y2 - y1 Ihn+_Hu  
   cbx = x2 - x3 (M,IgSn9  
   cby = y2 - y3 w!N?:}P<N  
   mo_jj = cax * cbx + cay * cby ?OFl9%\ V  
   mo_ca = Sqr(cax * cax + cay * cay) [/iT D=O,  
   mo_cb = Sqr(cbx * cbx + cby * cby) -
T+7u  
   cos_acb = mo_jj / (mo_ca * mo_cb) >Qg 9KGk'  
   'ff_cos = cos_acb D`C#O 7.N  
   If cos_acb >= 1 Then ?N/6m  
   nn = 0 L}x,>hbT  
   ElseIf cos_acb <= -1 Then : ZWKrnG  
   nn = 3.14159265258979 g&oAa;~o  
   Else S#wy+*  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) QFYO_$1Y)  
   End If *%,{<C,Y  
   'ff_angle = nn %=GF  
   ff_angle = nn * 180 / 3.14159265258979 \8e27#PJR  
End Function

'判断点在区域内函数 B=p6pf  
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 FC BsC#
 
Dim aob, boc, cod, doa, sum As Single |*5803h  
  If ppx = p1x And ppy = p1y Then d$}z,~sN  
     point_in = True ^+'[:rE  
     Exit Function f}C$!Lhs  
  End If @V>BG8Y  
  If ppx = p2x And ppy = p2y Then jqeR{yo&0b  
     point_in = True Z|k>)pv@  
     Exit Function 4,)EG1  
  End If N">4I)  
   If ppx = p3x And ppy = p3y Then lNwqWOWy  
     point_in = True X{YY)}^  
     Exit Function *@1(!A  
  End If $2gX!)  
     4 [K"e{W3  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 
v%2@M  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) [)wLj
i7MK  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) =}1)/gcM  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) CNkI9>L=W`  
    sum = aob + boc + cod + doa Vhi4_~W3j]  
    If 360.01 > sum And sum > 359.99 Then "AcC\iq  
       point_in = True Q%*987i  
    Else G3wkqd
 
       point_in = False Nm.G,6<J  
    End If |3{"ANmm'  
End Function

'得到点半径,得到交点坐标函数 .X](B~\!  
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$Trf:L  
    '求得中心点坐标 \Aq$h:<  
Dim tt As String 089 <B& <  
Dim rt(3) As Single qe<xH#6  
    '判断是否平行 AdgZau[Y6  
   acx = p3x - p1x 2K VX  
   acy = p3y - p1y ~4V-{-=0a7  
   bdx = p4x - p2x 9pMXjsE
  
   bdy = p4y - p2y pt_]&3\e  
   If acx * bdy = acy * bdx Then ya'Ma<4  
      rt(0) = 0 IDK~ (t  
      Exit Function <To$Hb,NP  
   Else &y&pjo6v1  
      '判断斜率存在否 f>zd,|)At  
      If p1x = p3x And p2x <> p4x Then 5I>a|I!j  
         tt = "ac_n_bd_y" me+u"G9I;  
      ElseIf p1x <> p3x And p2x = p4x Then 0 H0U%x8  
         tt = "ac_y_bd_n" 9cXL4  
      ElseIf p1x <> p3x And p2x <> p4x Then K0'= O  
         tt = "ac_y_bd_y" w/,A@fLL  
      End If 
*ORa@x  
    Select Case tt $g&_7SJ@  
         Case "ac_n_bd_y" +k{l]-)1  
            'bd线段方程 O[
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            k_bd = bdy / bdx m`9P5[m#x>  
            b_bd = p2y - k_bd * p2x CsX@u#  
            p_x = p1x OD6dMql  
            p_y = k_bd * p_x + b_bd P/,ezVb=  
         Case "ac_y_bd_n" +#Ga}eCM  
            'ac线段方程 Txa 2`2t
7  
            k_ac = acy / acx |<2<`3  
            b_ac = p1y - k_ac * p1x W_bA.zT{  
            p_x = p2x Pah*,  
            p_y = k_ac * p_x + b_ac :qvA'.L/;z  
        Case "ac_y_bd_y" 95.s,'0  
           'ac，bd线段都要求 k[a5D/b  
           k_ac = acy / acx ?`3G5at)9f  
           b_ac = p1y - k_ac * p1x Z\S'HNU  
           k_bd = bdy / bdx x }.&?m  
           b_bd = p2y - k_bd * p2x Zfc{}ius  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ow4|GLU^;  
           p_y = k_ac * p_x + b_ac lFV\Go  
        End Select $VJE&b  
      rt(1) = p_x X&gXhr#dL\  
      rt(2) = p_y BmFtRbR  
     <Q@{6  
'计算最大半径 ZK`x(h{p)  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) bC,SE*F\  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) gJg%3K~,  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) LM*m>n*  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) c8oE,-~  
Dim bb(5) As Single ~
)#xOE}  
  bb(1) = rr1 >a)6GZ@  
  bb(2) = rr2 BYZllwxwTE  
  bb(3) = rr3 q@d6P~[-gj  
  bb(4) = rr4 SD.c9  
  nb = rr1 M5`wfF,j  
For i = 1 To 4 vpP8'f.  
    If nb <= bb(i) Then 7!A3PDAe  
       nb = bb(i) J@RV^2  
    End If ^)1!TewCY  
Next i 4`p[t;q  
    rt(0) = Sqr(nb) ]8|peo{  
    rr = rt() *lyRy/POB  
  End If [(iJj3s!  
         U?8X]  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  Mwd(?o  

M}BqSzd*  
有热压工艺方面的人才或者资料分享下； #F!'B|n  
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 ^PI8Bvs>j  

高手真多！

楼主威武霸气.