[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： 1>W|vOv"Z?  
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关键点说几个： XW6>;:4k  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 4LYeacL B  
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 `B;^:u  
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 1F'j.1  

以下是几个重要的函数： 4os7tx  
1.判断点在区域中函数 8>G3KZ3  
2.计算夹角函数 ev>gh0  
3.转置函数 EBS04]5ul  
4.得到区域中心点，及区域半径函数 0_Tr>hz  
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） UJ1Ui'a(!!  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 Ia:n<sZU  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single >=c<6#:s<9  
   cax = x2 - x1 zDY!0QZLF\  
   cay = y2 - y1 F*rU=cu  
   cbx = x2 - x3 ',nGH|K.  
   cby = y2 - y3 )r-t$ L  
   mo_jj = cax * cbx + cay * cby AQ 3n=Lr   
   mo_ca = Sqr(cax * cax + cay * cay) $-Q,@Bztq  
   mo_cb = Sqr(cbx * cbx + cby * cby) t_c;4iE  
   cos_acb = mo_jj / (mo_ca * mo_cb) EY;C5P4  
   'ff_cos = cos_acb {E!ie{~  
   If cos_acb >= 1 Then iZGc'y  
   nn = 0 /g2(<  
   ElseIf cos_acb <= -1 Then qczGv2%!  
   nn = 3.14159265258979 tsR\cO~/  
   Else +=hiLfnE  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ; k{w@L.@  
   End If ,tv P"@d  
   'ff_angle = nn lN*O</L,"  
   ff_angle = nn * 180 / 3.14159265258979 s2)a8<  
End Function

'判断点在区域内函数 "P`V|g  
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 Alaq![7MDP  
Dim aob, boc, cod, doa, sum As Single fgYdKv8  
  If ppx = p1x And ppy = p1y Then poj@G{  
     point_in = True 4ihv|%@  
     Exit Function msOk~ZPE6\  
  End If -S\7
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  If ppx = p2x And ppy = p2y Then 6 ?FF!x  
     point_in = True |k3ZdM  
     Exit Function :$j6  
  End If /PF X1hSu  
   If ppx = p3x And ppy = p3y Then U`sybtuBP'  
     point_in = True bS_fWD-  
     Exit Function o,(MB[|hQ  
  End If KW|X\1H  
     w
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    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) _svY.ps*  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) )B.NV<m  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) A$.woE@  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) '>- C!\t  
    sum = aob + boc + cod + doa 5fuOl-M0W  
    If 360.01 > sum And sum > 359.99 Then )MqF~[k<-  
       point_in = True w%;Z`Xn&u  
    Else *&{M,  
       point_in = False R4v)}`x  
    End If CJ0j2e/  
End Function

'得到点半径,得到交点坐标函数 8&:  *<  
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() 1~NXCIdF  
    '求得中心点坐标 ~]8bTw@  
Dim tt As String ,y@`
=  
Dim rt(3) As Single 95jJ"4a+  
    '判断是否平行 ?zp@HSa9  
   acx = p3x - p1x ciO^2X  
   acy = p3y - p1y SOQm>\U'i  
   bdx = p4x - p2x C*Avu  
   bdy = p4y - p2y ]>-#T  
   If acx * bdy = acy * bdx Then _=@9XvNM  
      rt(0) = 0 H~x,\|l#  
      Exit Function BoJ@bOe#  
   Else ];bB7+  
      '判断斜率存在否 gn"_()8cT  
      If p1x = p3x And p2x <> p4x Then o mstJ9  
         tt = "ac_n_bd_y" 99
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      ElseIf p1x <> p3x And p2x = p4x Then
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         tt = "ac_y_bd_n" 6?OH"!b2-}  
      ElseIf p1x <> p3x And p2x <> p4x Then K
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         tt = "ac_y_bd_y" "Wd?U[[  
      End If pJ[7m  
    Select Case tt '}h[*IB}5  
         Case "ac_n_bd_y" *X_CtjgF  
            'bd线段方程 :9!?${4R  
            k_bd = bdy / bdx TUzpln  
            b_bd = p2y - k_bd * p2x fbp
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            p_x = p1x i~ D,  
            p_y = k_bd * p_x + b_bd u1d{|fF  
         Case "ac_y_bd_n" PW)XDo7  
            'ac线段方程 sxcpWSGA^  
            k_ac = acy / acx Cn4o^6?"  
            b_ac = p1y - k_ac * p1x 3#vhQ*xU  
            p_x = p2x RkP g&R;i  
            p_y = k_ac * p_x + b_ac <*u[<  
        Case "ac_y_bd_y" vB(tpki|  
           'ac，bd线段都要求 ;i|V++$_  
           k_ac = acy / acx 1MV\Jm  
           b_ac = p1y - k_ac * p1x _KVge)j  
           k_bd = bdy / bdx D(6d#c  
           b_bd = p2y - k_bd * p2x X&EcQ  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) lAuI?/E  
           p_y = k_ac * p_x + b_ac w8i"-SE  
        End Select dE9xan  
      rt(1) = p_x Vh1{8'GQ  
      rt(2) = p_y +4U?*:n  
     JI-q4L|  
'计算最大半径 m'H%O-h\  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) g|_-O"l  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) +Mth+qgw  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) cd,)GF  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) X,d`-aKO\y  
Dim bb(5) As Single ]h8[b9$<")  
  bb(1) = rr1 $r})j
~c  
  bb(2) = rr2 ek6PMZF:'  
  bb(3) = rr3 7+';&2M)n~  
  bb(4) = rr4 w]Z*"B&h  
  nb = rr1 3]Rb2$p[=  
For i = 1 To 4 'ms&ty*T  
    If nb <= bb(i) Then d7Lna^  
       nb = bb(i) T^YdAQeE  
    End If ]&%_Fpx  
Next i h;105$E1  
    rt(0) = Sqr(nb) HSEfpbh  
    rr = rt() =9@{U2 =l  
  End If nE+OBdl  
         6FuZMasr*  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  #
NU;$&  

9C;Hm>WEpP  
有热压工艺方面的人才或者资料分享下； "[W${q+0x  
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 bvVEV  

高手真多！

楼主威武霸气.