[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： 8dK0o>|}  
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关键点说几个： v[<Bjs\q5  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） VF0dE  
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 )y7_qxwbV  
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 =7 ,K
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以下是几个重要的函数： wX1ig  
1.判断点在区域中函数 n<V1|X  
2.计算夹角函数 qX>Q
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3.转置函数 MmU%%2QG  
4.得到区域中心点，及区域半径函数 8 |h9sn;P  
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） ST8!i`Q$  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 6 o[/F3`  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single a5`eyL[f  
   cax = x2 - x1 4?]oV%aP)  
   cay = y2 - y1 c8'Cq7  
   cbx = x2 - x3 &+nRIv S_`  
   cby = y2 - y3 'UDBV  
   mo_jj = cax * cbx + cay * cby RSWcaATZN  
   mo_ca = Sqr(cax * cax + cay * cay) fU*C/ d3  
   mo_cb = Sqr(cbx * cbx + cby * cby) M$CVQ>op:  
   cos_acb = mo_jj / (mo_ca * mo_cb) `n-vjjG%#  
   'ff_cos = cos_acb +?N}Y{Y&  
   If cos_acb >= 1 Then ged,>  
   nn = 0 6`puTL?  
   ElseIf cos_acb <= -1 Then Z}cIA87U  
   nn = 3.14159265258979 RLKj u;u  
   Else ~y\:iL//E  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 8l 
xY]UT  
   End If q9}2  
   'ff_angle = nn -gKpL\  
   ff_angle = nn * 180 / 3.14159265258979 r*cjOrvI  
End Function

'判断点在区域内函数 ic~Z_?p  
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 BRtXf0~&p  
Dim aob, boc, cod, doa, sum As Single tyXl}$)y  
  If ppx = p1x And ppy = p1y Then Dt {')  
     point_in = True 2YIF=YWO},  
     Exit Function FX 1C e  
  End If  <qn,  
  If ppx = p2x And ppy = p2y Then mmN|F
$;r  
     point_in = True G `Izf1B`I  
     Exit Function |a(Q4 e/,  
  End If 4[
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   If ppx = p3x And ppy = p3y Then |e"/Mf[  
     point_in = True 1jOKcm'#  
     Exit Function ?cBO6^  
  End If i_YW;x  
     '(9YB9 i  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) .wri5  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) -h9#G{2W[  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) +wts 7,3  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) e-!?[Ujv*%  
    sum = aob + boc + cod + doa <[8@5?&&  
    If 360.01 > sum And sum > 359.99 Then NTVHnSoHh
 
       point_in = True xK!DtR
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    Else _>Ln@  
       point_in = False 8|vld3;  
    End If !c_u-&
b)  
End Function

'得到点半径,得到交点坐标函数 c'~[!,[b<  
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() uA
^hCh-js  
    '求得中心点坐标 9RB`$5F;  
Dim tt As String _]EyEa  
Dim rt(3) As Single pDmK  
    '判断是否平行 4n4j=x]@  
   acx = p3x - p1x NJ>,'s  
   acy = p3y - p1y Zr9d&|$  
   bdx = p4x - p2x $*i7?S@~-  
   bdy = p4y - p2y cLHF9B5  
   If acx * bdy = acy * bdx Then 9[,s4sxH  
      rt(0) = 0 9IOGc}  
      Exit Function =1Ri]b  
   Else km}MqBQl  
      '判断斜率存在否 2J&XNV^tJ  
      If p1x = p3x And p2x <> p4x Then y,^";7U  
         tt = "ac_n_bd_y"  /+N|X  
      ElseIf p1x <> p3x And p2x = p4x Then BMY>a  
         tt = "ac_y_bd_n" 'hy?jQ'|e  
      ElseIf p1x <> p3x And p2x <> p4x Then !+=Zjm4L  
         tt = "ac_y_bd_y" 3)xbnR
k  
      End If psu OJ-  
    Select Case tt @$EjD3Z-  
         Case "ac_n_bd_y" /'mrDb_ip  
            'bd线段方程 ;raz6DRO  
            k_bd = bdy / bdx HIsB|  
            b_bd = p2y - k_bd * p2x /M]eZ~QKD  
            p_x = p1x #>"}q3RO  
            p_y = k_bd * p_x + b_bd \a?K?v|8  
         Case "ac_y_bd_n" e& p_f<  
            'ac线段方程 U @)k3^
 
            k_ac = acy / acx
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            b_ac = p1y - k_ac * p1x }$<^wt  
            p_x = p2x !5? m  
            p_y = k_ac * p_x + b_ac 487YaioB$  
        Case "ac_y_bd_y" [f=.!\0\  
           'ac，bd线段都要求 \WiqN*ZF  
           k_ac = acy / acx z'_&|-m  
           b_ac = p1y - k_ac * p1x di--:h/  
           k_bd = bdy / bdx ka!Bmv)  
           b_bd = p2y - k_bd * p2x =w?M_[&K)  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) b~jIv:9T  
           p_y = k_ac * p_x + b_ac [7'#~[a~  
        End Select pXve02b1B  
      rt(1) = p_x is9}ePC7Xu  
      rt(2) = p_y =l_rAj~I|  
     wLY#dm  
'计算最大半径 ]GQv4-y  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) D DQs42[  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) TeKC} NW  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) KS b(R/T  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 1B6C<cL:sU  
Dim bb(5) As Single A%h~Z a  
  bb(1) = rr1 ;]{{)dst  
  bb(2) = rr2 |O57N'/  
  bb(3) = rr3 ;CA ?eI  
  bb(4) = rr4 pF|8OB%  
  nb = rr1 B*y;>q "{U  
For i = 1 To 4 IhUW=1&J  
    If nb <= bb(i) Then <njIXa{  
       nb = bb(i) Cca6L9%  
    End If x
)j/  
Next i n"mJEkHE  
    rt(0) = Sqr(nb) D!X>O}
  
    rr = rt() :G
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  End If JOJh,8C)6  
         >~h>#{&  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ^?H\*N4  

sL!;hKK  
有热压工艺方面的人才或者资料分享下； R=2 gtW"r  
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 0|],d?-h  

高手真多！

楼主威武霸气.