[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： ZF{~ih*^u  
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关键点说几个： >BoSw&T$Q  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） oXGZK5w<l  
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 'mV:@].le  
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 dgc&[  

以下是几个重要的函数： W"qL-KW  
1.判断点在区域中函数 KH}t:m+h  
2.计算夹角函数 YFvgz.>QE  
3.转置函数 vLn> 4SK  
4.得到区域中心点，及区域半径函数 ScJu_Af  
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） hqW$kw  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 +]L)>$6  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single =|JKu'  
   cax = x2 - x1 { _X#f
q0}  
   cay = y2 - y1 sT1jF3  
   cbx = x2 - x3 <2)v9c  
   cby = y2 - y3 7'UWRRsxUF  
   mo_jj = cax * cbx + cay * cby 5f3!NeI  
   mo_ca = Sqr(cax * cax + cay * cay) ?h&l tD  
   mo_cb = Sqr(cbx * cbx + cby * cby) ~UW{)]_jox  
   cos_acb = mo_jj / (mo_ca * mo_cb) Tw}z7U"  
   'ff_cos = cos_acb .~,^u  
   If cos_acb >= 1 Then g& >mP?  
   nn = 0 Gf
NWP  
   ElseIf cos_acb <= -1 Then )$F6  
   nn = 3.14159265258979 SyB-iQ
n  
   Else n}5x-SxS0  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) buc*rtHfA  
   End If 9/H^t*
5t  
   'ff_angle = nn dw99FA6  
   ff_angle = nn * 180 / 3.14159265258979 LOt#1Qv  
End Function

'判断点在区域内函数 (ai72#nFtb  
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 nu(eLUU  
Dim aob, boc, cod, doa, sum As Single wEv*1y4  
  If ppx = p1x And ppy = p1y Then DW4MA<UQ  
     point_in = True m9cj7  
     Exit Function |:/ @t  
  End If *<;&>w8  
  If ppx = p2x And ppy = p2y Then '9Qd.q7s|b  
     point_in = True GMyoSe%1/  
     Exit Function -MsuBf  
  End If Wd1 IX^7C%  
   If ppx = p3x And ppy = p3y Then eKS:7:X  
     point_in = True uk1v7#p  
     Exit Function 8Q)y%7{6  
  End If 9EjjkJ%)q  
     ?WMi S]Q\  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) s2wwmtUCN  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) >DkN+S  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 7Im}~3NJG  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 0FN~$+t)H  
    sum = aob + boc + cod + doa _TV2)  
    If 360.01 > sum And sum > 359.99 Then !~Ax  
       point_in = True Py}!C@e  
    Else U_.n=d~B  
       point_in = False H,/~=d: ^  
    End If 0 [*nAo  
End Function

'得到点半径,得到交点坐标函数 q{jk.:;'  
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./.K  
    '求得中心点坐标 4'd;'SvF  
Dim tt As String }UJdE#4  
Dim rt(3) As Single =k[(rvU3  
    '判断是否平行 Hz8Jgp  
   acx = p3x - p1x xP<H,og&x=  
   acy = p3y - p1y a @yE:HU  
   bdx = p4x - p2x dw=Xjyk?h  
   bdy = p4y - p2y @$K![]oD  
   If acx * bdy = acy * bdx Then Oi+Qy[y2  
      rt(0) = 0 c"oQ/x  
      Exit Function nvm1.}=Cnd  
   Else ~2;&pZ$  
      '判断斜率存在否 ROlzs}  
      If p1x = p3x And p2x <> p4x Then LRfFn^FPM  
         tt = "ac_n_bd_y" 7%~VOB  
      ElseIf p1x <> p3x And p2x = p4x Then n0 fF,?gm  
         tt = "ac_y_bd_n" Q&:92f\y  
      ElseIf p1x <> p3x And p2x <> p4x Then ORFr7a'K  
         tt = "ac_y_bd_y" Q_UCF'f;}  
      End If uL qpbn  
    Select Case tt 2- |
j  
         Case "ac_n_bd_y" 3P=Eb!qtdD  
            'bd线段方程 Wb*T  
            k_bd = bdy / bdx 'Sb6 w+  
            b_bd = p2y - k_bd * p2x g&5pfrC [  
            p_x = p1x y.TdWnXx  
            p_y = k_bd * p_x + b_bd &?uzJx~  
         Case "ac_y_bd_n" 7J)a"d^e  
            'ac线段方程 7,&3=R<
 
            k_ac = acy / acx
gFH;bZU  
            b_ac = p1y - k_ac * p1x oPCIlH  
            p_x = p2x yF [@W<  
            p_y = k_ac * p_x + b_ac Z7k1fv:S^  
        Case "ac_y_bd_y" Kuzy&NI^w  
           'ac，bd线段都要求 4
I]/  
           k_ac = acy / acx d}^:E  
           b_ac = p1y - k_ac * p1x z!uB&2C{k  
           k_bd = bdy / bdx !:!@dC%8_  
           b_bd = p2y - k_bd * p2x rE' %MiIK  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) E<fwl1<88  
           p_y = k_ac * p_x + b_ac &_Xv:?  
        End Select 'f$?/5@@  
      rt(1) = p_x njx\$,ruN  
      rt(2) = p_y !x!L&p  
     SgQmYaa&  
'计算最大半径 II f >z_m  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) pCud` :o"  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) XDv7#Tv_wv  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) /:c,v-  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 1.cUolnr  
Dim bb(5) As Single
q;He:vX  
  bb(1) = rr1 `HZHVV$~  
  bb(2) = rr2 DIcyXZH<  
  bb(3) = rr3 @bVh?T0~F,  
  bb(4) = rr4 C#u)$Ds  
  nb = rr1 VIlQzM;%^  
For i = 1 To 4 8^ZM U{  
    If nb <= bb(i) Then D} <o<Dk  
       nb = bb(i) f<t*#]<  
    End If &,gryBN  
Next i ',xsUgk  
    rt(0) = Sqr(nb) Am}PXj6  
    rr = rt() 4mg 7f^[+  
  End If =;-ju@d  
         H1c|b!C  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  FQ ^^6Rl  

49kia!FR  
有热压工艺方面的人才或者资料分享下； u\;dUnr  
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 PSw+E';  

高手真多！

楼主威武霸气.