[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： &tUX(  
W /v &V#  
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关键点说几个： fNda&  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） [kkhVi5;A  
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 LT)I ?ud  
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 InL_JobE8r  

以下是几个重要的函数： "C3J[) qC  
1.判断点在区域中函数 -~RGjx  
2.计算夹角函数 K#6@sas  
3.转置函数 EajJv>X7  
4.得到区域中心点，及区域半径函数 |oOAy  
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） Xn~\Vb  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 V^!^wLLi
 
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single >\~Er@  
   cax = x2 - x1 -awG14%  
   cay = y2 - y1 g
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   cbx = x2 - x3 ]1zud  
   cby = y2 - y3 \N-3JOVy  
   mo_jj = cax * cbx + cay * cby 2( I4h[  
   mo_ca = Sqr(cax * cax + cay * cay) :+w6i_\d5  
   mo_cb = Sqr(cbx * cbx + cby * cby) mJ(ElDG  
   cos_acb = mo_jj / (mo_ca * mo_cb) hi(e%da  
   'ff_cos = cos_acb eB_r.R{  
   If cos_acb >= 1 Then v>nBdpjXh  
   nn = 0 0;)Q  
   ElseIf cos_acb <= -1 Then .x] pJ9  
   nn = 3.14159265258979 0Ntvd7"`}  
   Else ShlTMTgS  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) m<k6oev$  
   End If =_j<x$,b-  
   'ff_angle = nn G; exH$y  
   ff_angle = nn * 180 / 3.14159265258979 T*8S7l  
End Function

'判断点在区域内函数 ;!=i|"P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 IC8%E3
 
Dim aob, boc, cod, doa, sum As Single ~:0w%  
  If ppx = p1x And ppy = p1y Then zkqn>  
     point_in = True f52P1V]  
     Exit Function f9<"  
  End If ^A=tk!C  
  If ppx = p2x And ppy = p2y Then C4gES"
T  
     point_in = True imzPVGCD{  
     Exit Function ]auqf  
  End If qP&:9eL  
   If ppx = p3x And ppy = p3y Then ~Mar  
     point_in = True f)a0!U 44  
     Exit Function 6rD]6#D  
  End If ZQ*Us*9I  
     a]%sks
 
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) olL? 6)gC  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) d:^B2~j  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) Z^'\()3t  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) TXyiCS3  
    sum = aob + boc + cod + doa W[j,QU  
    If 360.01 > sum And sum > 359.99 Then ,LSiQmV5  
       point_in = True ]e7?l/N[  
    Else (dQ=i  
       point_in = False ITn PF{N  
    End If `F&~SU,  
End Function

'得到点半径,得到交点坐标函数 J>nBTY,_<  
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() vDi Opd  
    '求得中心点坐标 -<5{wQE;|  
Dim tt As String %+Z*-iX  
Dim rt(3) As Single #)]t4wa_W  
    '判断是否平行 MpZ\j  
   acx = p3x - p1x .PR+_a-X  
   acy = p3y - p1y t:vBVDkD  
   bdx = p4x - p2x Ov?J"B'F  
   bdy = p4y - p2y dY~z6bT  
   If acx * bdy = acy * bdx Then XM` H@s7  
      rt(0) = 0 |vGHhzZ|  
      Exit Function a\}MJ5]  
   Else =EA:fq  
      '判断斜率存在否 qz (x  
      If p1x = p3x And p2x <> p4x Then 2ag8?#  
         tt = "ac_n_bd_y" fHH  
      ElseIf p1x <> p3x And p2x = p4x Then ?7LvJ8  
         tt = "ac_y_bd_n" |}UkVLc_^  
      ElseIf p1x <> p3x And p2x <> p4x Then ,R<9yEWm  
         tt = "ac_y_bd_y" o,*D8[  
      End If /"j3B\`?  
    Select Case tt  73Jm  
         Case "ac_n_bd_y" GfEWms8z  
            'bd线段方程 0NC70+4L  
            k_bd = bdy / bdx y*-_  
            b_bd = p2y - k_bd * p2x Ox-eB  
            p_x = p1x nR*' 3  
            p_y = k_bd * p_x + b_bd ,%l}TSs  
         Case "ac_y_bd_n" <"P-7/j3j  
            'ac线段方程 PS[ C!s&KE  
            k_ac = acy / acx (4A'$O2  
            b_ac = p1y - k_ac * p1x DR:$urU$  
            p_x = p2x )S2yU<6oOt  
            p_y = k_ac * p_x + b_ac h3k>WNT7  
        Case "ac_y_bd_y" KAFR.h:p9  
           'ac，bd线段都要求 1nskf*Z  
           k_ac = acy / acx %%uE^nX>  
           b_ac = p1y - k_ac * p1x zp1ym}9M  
           k_bd = bdy / bdx -YKy"   
           b_bd = p2y - k_bd * p2x ';/J-l/SE  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) <]LljTm`i  
           p_y = k_ac * p_x + b_ac R( FQ+h  
        End Select Dpw*m.f  
      rt(1) = p_x Cg]),S  
      rt(2) = p_y }P fAf  
     Em@:QmEN  
'计算最大半径 D5?8`U m=  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) d`B<\Y#{Us  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) H%>4z3n   
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) V<I(M<Dj  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) P%(9`A  
Dim bb(5) As Single }>0>OqvF  
  bb(1) = rr1 SNH 3C1  
  bb(2) = rr2 R54
[U  
  bb(3) = rr3 #H>{>0q  
  bb(4) = rr4 )XK\[tL  
  nb = rr1 @q/g%-WNz  
For i = 1 To 4 SXOAa<u5  
    If nb <= bb(i) Then l_+@Xpl  
       nb = bb(i) d"#Zp&#  
    End If Q]xkDr?   
Next i .=#jdc/  
    rt(0) = Sqr(nb) K -rR)-rI  
    rr = rt() Ytlzn%  
  End If YoKyiO!   
         JL= c
IH8  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  yw3"jdcl  

Sjpx G@k  
有热压工艺方面的人才或者资料分享下； E $@W~).!  
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 +2~kHrv  

高手真多！

楼主威武霸气.