[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： &%F@O<:  
O/OiQ^T  
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关键点说几个： yTAvF\s$(  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） y] V1b{9p  
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 f_6`tq m%  
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 ]]uHM}l  

以下是几个重要的函数： g`,AaWlF  
1.判断点在区域中函数 'fW#7W  
2.计算夹角函数 -q>^ALf|@>  
3.转置函数 J)x3\[}Ye  
4.得到区域中心点，及区域半径函数 q&si%  
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） X>l*v\F9  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 ;u-4KK  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single i^2IW&+}e}  
   cax = x2 - x1
igkz2SI  
   cay = y2 - y1 T1 M
Y X  
   cbx = x2 - x3 M<`|CVl  
   cby = y2 - y3 -T_\f?V88  
   mo_jj = cax * cbx + cay * cby 5M){!8"S)#  
   mo_ca = Sqr(cax * cax + cay * cay) >mm'-P  
   mo_cb = Sqr(cbx * cbx + cby * cby) 4<v;1   
   cos_acb = mo_jj / (mo_ca * mo_cb) C7qYiSv  
   'ff_cos = cos_acb YD_]!HK}  
   If cos_acb >= 1 Then /L~m#HxWU  
   nn = 0 4ke^*g K<  
   ElseIf cos_acb <= -1 Then :)c80`-E  
   nn = 3.14159265258979 Y7Gs7  
   Else cf;Ht^M\  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Y E1Hpeb  
   End If Z85|I.mr  
   'ff_angle = nn q)I|2~Q c^  
   ff_angle = nn * 180 / 3.14159265258979 eBcJm  
End Function

'判断点在区域内函数 R]L2(' B  
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 =_-C%<4  
Dim aob, boc, cod, doa, sum As Single 5Pke8K  
  If ppx = p1x And ppy = p1y Then l4T:d^Eb  
     point_in = True kQIw/@WC  
     Exit Function @$U 
e$  
  End If ($d4:Ww  
  If ppx = p2x And ppy = p2y Then Rlw3!]5+2  
     point_in = True O%JSViPw  
     Exit Function J!p<oW)a!  
  End If d-$_|G+  
   If ppx = p3x And ppy = p3y Then +zO]N&  
     point_in = True p:[LnL  
     Exit Function 2Rptxb_@  
  End If VifmZ;S@Y  
     w|Q
d`  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) U^$E'Q-VK  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) n0fRu`SNV  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) =/Juh7[C  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) |63Y >U"  
    sum = aob + boc + cod + doa Lb~\Yn'z  
    If 360.01 > sum And sum > 359.99 Then #PAU'u 3{/  
       point_in = True {LB`)Kuu  
    Else Zu#<  
       point_in = False r+\/G{+=}  
    End If JvJ;bFXD  
End Function

'得到点半径,得到交点坐标函数  1N.tQ^  
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() e
_.~n<=  
    '求得中心点坐标 x[Q&k[xV  
Dim tt As String SIv[9G6  
Dim rt(3) As Single 4ftj>O  
    '判断是否平行 2"M
_sL  
   acx = p3x - p1x :,YLx9i>  
   acy = p3y - p1y r@|ZlM@O  
   bdx = p4x - p2x d*9j77C]  
   bdy = p4y - p2y o*_g$  
   If acx * bdy = acy * bdx Then :?#cDyW)  
      rt(0) = 0 i'HST|!j  
      Exit Function vnZ/tF  
   Else "m>};.lj  
      '判断斜率存在否 Y6;@/[_  
      If p1x = p3x And p2x <> p4x Then sZm^&h;  
         tt = "ac_n_bd_y" *a4 b  
      ElseIf p1x <> p3x And p2x = p4x Then %:tr  
         tt = "ac_y_bd_n" Q9q9<J7j$  
      ElseIf p1x <> p3x And p2x <> p4x Then q]l\`/R%u  
         tt = "ac_y_bd_y"
V=9Bto00  
      End If Eq7gcDQ  
    Select Case tt h@Dw'w  
         Case "ac_n_bd_y" 1gAc,s2  
            'bd线段方程 ._(z~3s  
            k_bd = bdy / bdx
_w%s(dzk  
            b_bd = p2y - k_bd * p2x |wJ),h8/  
            p_x = p1x x`3.Wu\  
            p_y = k_bd * p_x + b_bd !Iko0#4i  
         Case "ac_y_bd_n" U]mO7HK  
            'ac线段方程 2w7@u/OC'  
            k_ac = acy / acx ds')PIj  
            b_ac = p1y - k_ac * p1x QvNi8TB  
            p_x = p2x J{x##p<F$  
            p_y = k_ac * p_x + b_ac |vT=Nnu  
        Case "ac_y_bd_y" c0hdLl;5  
           'ac，bd线段都要求 i59k"pNm  
           k_ac = acy / acx y|LXDq4Wj  
           b_ac = p1y - k_ac * p1x #PPsRKj3c  
           k_bd = bdy / bdx ugRV5bUk  
           b_bd = p2y - k_bd * p2x KK .cDAR  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) /Sh4pu"'  
           p_y = k_ac * p_x + b_ac BDnBBbBrz  
        End Select A1 b6Zt  
      rt(1) = p_x A7e_w 7?a  
      rt(2) = p_y p+5#dbyr  
     :.C)7( 8S  
'计算最大半径 GdL4|xv  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) ":z@c,  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) uRs9}dzv  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) _"`uqW79  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) /$<JCNGv  
Dim bb(5) As Single v.]'%+::#  
  bb(1) = rr1 {<~s&EPd  
  bb(2) = rr2 n*Q4G}p  
  bb(3) = rr3 ?n73J wH  
  bb(4) = rr4 9EjjkJ%)q  
  nb = rr1 e4?<GT  
For i = 1 To 4 UU-v;_oP  
    If nb <= bb(i) Then s2wwmtUCN  
       nb = bb(i) >DkN+S  
    End If 8UlB~fVg  
Next i 7Im}~3NJG  
    rt(0) = Sqr(nb) FC~|&  
    rr = rt() WJBW:2=;  
  End If b^@`uDb6  
         M_|M&lR>  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  CU} q&6h  

K!$\REs  
有热压工艺方面的人才或者资料分享下； O(:u(U7e  
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 c@"i?  

高手真多！

楼主威武霸气.