[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： yE9.]j  
\
8aF(Y^H  
o+Z9h1z%,  

关键点说几个： NyLnE  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） .U%"oD  
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 WfN
MyI  
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 jy2nn:1#^  

以下是几个重要的函数： Uk6!Sb  
1.判断点在区域中函数 e8bJ]  
2.计算夹角函数 SqB|(~S  
3.转置函数 n<*]`do,w  
4.得到区域中心点，及区域半径函数 -5.%{Go$[  
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） 2N 4>  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 p04+"  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single [^~9wFNtd  
   cax = x2 - x1 |vzWSm  
   cay = y2 - y1 <vDm(-i3  
   cbx = x2 - x3 NhX.yLb$   
   cby = y2 - y3 KL]!E ~i  
   mo_jj = cax * cbx + cay * cby z?[DW*  
   mo_ca = Sqr(cax * cax + cay * cay) _9r
{W65s  
   mo_cb = Sqr(cbx * cbx + cby * cby) 2zu~#qU[)M  
   cos_acb = mo_jj / (mo_ca * mo_cb) f34&:xz2U  
   'ff_cos = cos_acb gQ#T7  
   If cos_acb >= 1 Then kELyD(^P`  
   nn = 0 #jiqRhm  
   ElseIf cos_acb <= -1 Then )A=g# D#  
   nn = 3.14159265258979 +9CUnRv  
   Else q(^J7M)  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) [bJnl>A  
   End If qCN7i&k,  
   'ff_angle = nn "s9gQAoaO  
   ff_angle = nn * 180 / 3.14159265258979 =]"|x7'!  
End Function

'判断点在区域内函数 Qe.kNdT+_  
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 :exuTn  
Dim aob, boc, cod, doa, sum As Single NI:N W-!  
  If ppx = p1x And ppy = p1y Then %=y3  
     point_in = True Z"Ni Y  
     Exit Function #)}bUNc'  
  End If m]q!y3  
  If ppx = p2x And ppy = p2y Then 2tm-:CPG  
     point_in = True \zL7j4  
     Exit Function 5zna?(#}  
  End If Qp&ySU8  
   If ppx = p3x And ppy = p3y Then SJ^?D8  
     point_in = True 7#qL9+G  
     Exit Function b)^ZiRW``  
  End If { BL1j  
     n3j h\  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) <W') ~o}  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 6'!{0 5=m  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) OUO^/] J1S  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) ){6)?[G  
    sum = aob + boc + cod + doa WVK-dBU  
    If 360.01 > sum And sum > 359.99 Then &novkkqY  
       point_in = True X$Vz  
    Else pF+wHMhUe  
       point_in = False <dPxy`_  
    End If m@yVG|eP#  
End Function

'得到点半径,得到交点坐标函数 13_~)V  
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() Q4LlToHn  
    '求得中心点坐标 *oX]=u&  
Dim tt As String `R52{B#&/  
Dim rt(3) As Single Mq lo:7 ^F  
    '判断是否平行 5po'(r|U  
   acx = p3x - p1x C;:L~
)C@t  
   acy = p3y - p1y ~.9o{?pbG  
   bdx = p4x - p2x [*{\R`M  
   bdy = p4y - p2y 2*wO5v  
   If acx * bdy = acy * bdx Then pQ^,.[[  
      rt(0) = 0 TKu68/\)  
      Exit Function bNpIC/#0K  
   Else &zX 3  
      '判断斜率存在否 ^@*zH?Rx{  
      If p1x = p3x And p2x <> p4x Then AKCfoJ  
         tt = "ac_n_bd_y" Etc?;Z[F#  
      ElseIf p1x <> p3x And p2x = p4x Then bZay/ Zkj  
         tt = "ac_y_bd_n" 6`baQ!xc.  
      ElseIf p1x <> p3x And p2x <> p4x Then hi D7tb=g~  
         tt = "ac_y_bd_y" <kXV1@>  
      End If ' raB  
    Select Case tt /\a]S:V-j  
         Case "ac_n_bd_y" ENx@Ex
 
            'bd线段方程 %X,B-h^  
            k_bd = bdy / bdx p@7i=hyt`p  
            b_bd = p2y - k_bd * p2x fqk Dk  
            p_x = p1x h$7Fe +#I#  
            p_y = k_bd * p_x + b_bd H"q`k5R  
         Case "ac_y_bd_n" hp]ng!I{\u  
            'ac线段方程 {.3  
            k_ac = acy / acx =Q8H]F  
            b_ac = p1y - k_ac * p1x <r+!hJ[s'  
            p_x = p2x Q^MXiEO+  
            p_y = k_ac * p_x + b_ac IgiF,{KE,  
        Case "ac_y_bd_y" '
)u5l  
           'ac，bd线段都要求 ]O7.ss/2  
           k_ac = acy / acx AXh3LA  
           b_ac = p1y - k_ac * p1x (4/]dTb  
           k_bd = bdy / bdx zdjM%l);  
           b_bd = p2y - k_bd * p2x :ONuWNY N  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) Ueg N-n  
           p_y = k_ac * p_x + b_ac l'7Mw%6{  
        End Select 0ve`  
      rt(1) = p_x ,P@/=I5  
      rt(2) = p_y >)n4sMq  
     #mRFUA  
'计算最大半径 LE<u&
9I\  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) R7B,Q(q2-  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) y  KYP  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) txml*/zL  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ^YG7dd_  
Dim bb(5) As Single Hw?2XDv j  
  bb(1) = rr1 Clt5  
  bb(2) = rr2 Jny)uo8  
  bb(3) = rr3  M<Wn]}7!  
  bb(4) = rr4 ovDJ{3L6O  
  nb = rr1 Q$3\ /mz  
For i = 1 To 4 4z9#M;qT  
    If nb <= bb(i) Then aVQSN  
       nb = bb(i) (zs4#ja2,  
    End If ljYpMv.>xG  
Next i pFsCd"zv  
    rt(0) = Sqr(nb) 8Q^6ibE  
    rr = rt() B.22 DuE#  
  End If <}EV*`w4  
        
'_.q_Tf-^  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  Z?m -&%  

P!kw;x  
有热压工艺方面的人才或者资料分享下； CF]i}xpWV  
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 yGU .AM  

高手真多！

楼主威武霸气.