[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： %8B}Cb&2c  
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图片:2.jpg

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关键点说几个： q5J5>  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） r..iko]T  
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 g{]0sn#  
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 Y#ap*  

以下是几个重要的函数： v|)4ocFK  
1.判断点在区域中函数 5zK4Fraf  
2.计算夹角函数 >mbHy<<  
3.转置函数 XAD- 'i  
4.得到区域中心点，及区域半径函数 D%[mWc@1I  
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） ih-#5M@  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 nUaJz
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Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ^ox=HNV  
   cax = x2 - x1 /cUO$m o  
   cay = y2 - y1 <q58uuK  
   cbx = x2 - x3 ~gJwW+  
   cby = y2 - y3
KWbI'}_z  
   mo_jj = cax * cbx + cay * cby h:))@@7MJ  
   mo_ca = Sqr(cax * cax + cay * cay) 1;bh^WMJ  
   mo_cb = Sqr(cbx * cbx + cby * cby) ;DQ ZT  
   cos_acb = mo_jj / (mo_ca * mo_cb) g\|PcoLm  
   'ff_cos = cos_acb x`eo"5.$  
   If cos_acb >= 1 Then `GBW%X/  
   nn = 0 YsC>i`n9  
   ElseIf cos_acb <= -1 Then /aCc17>2V{  
   nn = 3.14159265258979 df8k7D;~e  
   Else .fqN|[>  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 93>jr<A  
   End If {f_={k  
   'ff_angle = nn Hzm:xg  
   ff_angle = nn * 180 / 3.14159265258979 |w~nVRb  
End Function

'判断点在区域内函数 _IHV7*u{;  
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 Wx%H%FeK  
Dim aob, boc, cod, doa, sum As Single ,Q$q=E;X  
  If ppx = p1x And ppy = p1y Then ;vR4XHl|  
     point_in = True .&iawz  
     Exit Function i$"F{|Z0  
  End If (62"8iD
6  
  If ppx = p2x And ppy = p2y Then |)DGkOtd  
     point_in = True Mmj;-u  
     Exit Function \[i1JG  
  End If .[KrlfI  
   If ppx = p3x And ppy = p3y Then 5X$jl;6  
     point_in = True PcMD])Z{G  
     Exit Function r| wS<cA2  
  End If ;6 D@A  
     QD&`^(X1p  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) J
7$5s  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) =!A_^;NQf  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y)  :A_@,Q  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) ?#G$=4;i  
    sum = aob + boc + cod + doa Lnl(2xD  
    If 360.01 > sum And sum > 359.99 Then \;,+  
       point_in = True .k%72ez  
    Else k/_ 59@)  
       point_in = False H [\o RId  
    End If :gibfk]C  
End Function

'得到点半径,得到交点坐标函数 ,AFu C<  
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() qS$Ox?Bw#u  
    '求得中心点坐标 dt]-,Y  
Dim tt As String L|7R9+ZG  
Dim rt(3) As Single prF%.(G2)  
    '判断是否平行 b94DJzL1z  
   acx = p3x - p1x BhGu!Y6f  
   acy = p3y - p1y } 9Eg=%0v  
   bdx = p4x - p2x U(g:zae  
   bdy = p4y - p2y ES7>
H  
   If acx * bdy = acy * bdx Then }@+0/W?\.  
      rt(0) = 0 ;bib/  
      Exit Function DV-d(@`K  
   Else <{cQM$#  
      '判断斜率存在否 O
m\vMd@!  
      If p1x = p3x And p2x <> p4x Then cp7=epho  
         tt = "ac_n_bd_y" Ya"a`ozq  
      ElseIf p1x <> p3x And p2x = p4x Then b5vC'B-!  
         tt = "ac_y_bd_n" Qn.om=KDs@  
      ElseIf p1x <> p3x And p2x <> p4x Then sIGMA$EK  
         tt = "ac_y_bd_y" "ne?P9'hF  
      End If WPMSm<[  
    Select Case tt ,T$U'&;  
         Case "ac_n_bd_y" 'Aq{UGN  
            'bd线段方程 pJ"qu,w  
            k_bd = bdy / bdx ]72`};  
            b_bd = p2y - k_bd * p2x [EXs  
            p_x = p1x Ckuh:bs  
            p_y = k_bd * p_x + b_bd BLiF 5  
         Case "ac_y_bd_n" ]MitOkX  
            'ac线段方程 [!#L6&:a8  
            k_ac = acy / acx K`zdc`/  
            b_ac = p1y - k_ac * p1x 9IfmW^0  
            p_x = p2x N +_t-5  
            p_y = k_ac * p_x + b_ac h2]P]@nW;W  
        Case "ac_y_bd_y" 'XjZ_ng  
           'ac，bd线段都要求 ~Otoqu|  
           k_ac = acy / acx :>f )g  
           b_ac = p1y - k_ac * p1x )lqAD+9Q  
           k_bd = bdy / bdx G@X% +$I  
           b_bd = p2y - k_bd * p2x K;H&n1  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) +.FEq*V  
           p_y = k_ac * p_x + b_ac L48_96  
        End Select D8?Vn"  
      rt(1) = p_x !``,gExH  
      rt(2) = p_y  {Gk1vcq  
     T_5H&;a  
'计算最大半径 YZ8>OwQz2  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) eJX9_6m-  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ^A&1^B  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) O-hAFKx  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) LCKV>3+_#  
Dim bb(5) As Single L^?qOylu  
  bb(1) = rr1 %pL''R9VF  
  bb(2) = rr2 Q\7h`d%)  
  bb(3) = rr3 #r\4sVg  
  bb(4) = rr4 #f]SK[nR  
  nb = rr1 16(QR-  
For i = 1 To 4 >@_^fw)  
    If nb <= bb(i) Then 2-EIE4
ds  
       nb = bb(i) E4/Dr}4  
    End If Ioa$51&  
Next i 3,qr-g|;jM  
    rt(0) = Sqr(nb) ~HsJUro  
    rr = rt() nMUw_7Y6  
  End If iz PDd{[  
         d^ 8ZeC#  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  vy:Z/1q  

'c$+sp ?  
有热压工艺方面的人才或者资料分享下； kV
LS  
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 z1X`o  

高手真多！

楼主威武霸气.