[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： *u>lx!g  
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图片:2.jpg

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关键点说几个： qM%O  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） xXX/]x>  
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 zJ9v%.e  
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 t|}O.u-&;~  

以下是几个重要的函数： [*8Y'KX <  
1.判断点在区域中函数 ZK6Hvc0  
2.计算夹角函数 P z ?m>>#  
3.转置函数 9R p2W  
4.得到区域中心点，及区域半径函数 I&Jt> O4  
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） G"T\=cQz  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 tx"LeZZ  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 0:"2MSf>  
   cax = x2 - x1 W@.Ji B  
   cay = y2 - y1 X32C}4-B  
   cbx = x2 - x3 h7]EB!D\A  
   cby = y2 - y3 @PI%FV z~p  
   mo_jj = cax * cbx + cay * cby s"%lFA"-  
   mo_ca = Sqr(cax * cax + cay * cay) Fv8f+)k)Z~  
   mo_cb = Sqr(cbx * cbx + cby * cby) 7"4z+w  
   cos_acb = mo_jj / (mo_ca * mo_cb) k?*KnfVh!  
   'ff_cos = cos_acb w##^}nHOR  
   If cos_acb >= 1 Then >oGiIYq  
   nn = 0 H4:&%"j7  
   ElseIf cos_acb <= -1 Then J0Z7l  
   nn = 3.14159265258979 _Mk7U@j+9  
   Else B
4h5[fPX  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) %Jp|z? [/  
   End If ! zL1;d  
   'ff_angle = nn eF~dQ4RZ  
   ff_angle = nn * 180 / 3.14159265258979 =2Cj,[$  
End Function

'判断点在区域内函数 EON:B>2a  
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 k
&/OU:7Y  
Dim aob, boc, cod, doa, sum As Single "%qzj93>  
  If ppx = p1x And ppy = p1y Then :e<7d8E5n{  
     point_in = True g%nl!dgS  
     Exit Function %}-?bHB1c  
  End If 'Gl&Pa1g?  
  If ppx = p2x And ppy = p2y Then l{Dct\ #s  
     point_in = True @-HG`c ct  
     Exit Function 424(3-/v;  
  End If PPkx4S_>  
   If ppx = p3x And ppy = p3y Then rV6/Tdy  
     point_in = True bN$r k|  
     Exit Function :,B7-kBw  
  End If -=`#fDvBn  
     8NBT|N~N  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) EV pi^>M  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) _P?s'HH  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ;&V s4  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 1rKy@9  
    sum = aob + boc + cod + doa iOAbaPN  
    If 360.01 > sum And sum > 359.99 Then ]hos+;4p  
       point_in = True 2*w0t:Yxe  
    Else #@HF<'H}mu  
       point_in = False i4JqT\q  
    End If V!v:]E  
End Function

'得到点半径,得到交点坐标函数 Gx`Lks  
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() 7d LuX   
    '求得中心点坐标 A,sr[Pa@  
Dim tt As String >leU:7  
Dim rt(3) As Single ^nbnbU4'  
    '判断是否平行 kuyjnSo9i  
   acx = p3x - p1x $9Hcdbdm  
   acy = p3y - p1y RuII!
}*  
   bdx = p4x - p2x Pj}66.  
   bdy = p4y - p2y k0Ol*L!p  
   If acx * bdy = acy * bdx Then |$?bc3  
      rt(0) = 0 `tP7ncky  
      Exit Function X}+>!%W!}  
   Else yw];P
o,  
      '判断斜率存在否 :VTTh |E%#  
      If p1x = p3x And p2x <> p4x Then 94B\5I}  
         tt = "ac_n_bd_y" 0a80 LAK  
      ElseIf p1x <> p3x And p2x = p4x Then 89r DyRJ;  
         tt = "ac_y_bd_n" *S2ypzwRZ,  
      ElseIf p1x <> p3x And p2x <> p4x Then %CK^Si%+  
         tt = "ac_y_bd_y" ZK>WW  
      End If bv&;R  
    Select Case tt 'Lu__NfN  
         Case "ac_n_bd_y" tH-C8Qxy  
            'bd线段方程 X5j1`t,  
            k_bd = bdy / bdx yUpgoX(6  
            b_bd = p2y - k_bd * p2x Q ]}Hd-  
            p_x = p1x M5 <@~V/[  
            p_y = k_bd * p_x + b_bd T}8Y6N<\m  
         Case "ac_y_bd_n" z11O F  
            'ac线段方程 O)[1x4U  
            k_ac = acy / acx 6I%5Q4Ll  
            b_ac = p1y - k_ac * p1x %}%Qc6.H  
            p_x = p2x zAiXo
__x  
            p_y = k_ac * p_x + b_ac =weSyZ1~  
        Case "ac_y_bd_y" <yd{tD$A*  
           'ac，bd线段都要求 ;qm D50:%  
           k_ac = acy / acx Q)IKOt;N]  
           b_ac = p1y - k_ac * p1x 8P|D13- Q  
           k_bd = bdy / bdx 3f,hw5R  
           b_bd = p2y - k_bd * p2x RJd(~1  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ' ~8KSF*!p  
           p_y = k_ac * p_x + b_ac 9b9$GyI  
        End Select {GQ^fu;q  
      rt(1) = p_x , GP?amh  
      rt(2) = p_y ~{jcH  
     CLU
W!F  
'计算最大半径 tNbN7yI  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) P
K`D8)=u  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 2+e}*&iQpp  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ee^{hQi  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 8|\8O@  
Dim bb(5) As Single Sy0$z39  
  bb(1) = rr1 K1M%!JKh)x  
  bb(2) = rr2 0eDHu  
  bb(3) = rr3 ,^\2P$rT  
  bb(4) = rr4 =,6z4" )  
  nb = rr1 
Zg{KFM%  
For i = 1 To 4 tM'P m  
    If nb <= bb(i) Then 1pgU}sR
k  
       nb = bb(i) <nT +$   
    End If cWe"%I  
Next i y.< m#Zzt  
    rt(0) = Sqr(nb) M 0U0;QJ  
    rr = rt() VgZsB$Ori  
  End If ^f4s"T  
         6\q]rfQ  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ]7W&JKmA&  

P+@/O  
有热压工艺方面的人才或者资料分享下； 7zXvnxYE  
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 k:t]s_`<  

高手真多！

楼主威武霸气.