[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： Ta!m%=8  
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关键点说几个： rZwf%}  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） N P0Hg
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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 '2i)#~YO<  
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 <%5-Pzp  

以下是几个重要的函数： s|rZ>SLL  
1.判断点在区域中函数 SFXfo1dqH  
2.计算夹角函数 -sGWSC  
3.转置函数 U- UV<}  
4.得到区域中心点，及区域半径函数 :p*ojl|  
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） !D|pbzQc8  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 y:|Xg0Kp  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single KTAe~y  
   cax = x2 - x1 Gh>fp  
   cay = y2 - y1 ~jCpL@rS  
   cbx = x2 - x3 (w@MlMk  
   cby = y2 - y3 ^:rNoo  
   mo_jj = cax * cbx + cay * cby Ubos#hP  
   mo_ca = Sqr(cax * cax + cay * cay) 3I{ta/(  
   mo_cb = Sqr(cbx * cbx + cby * cby) $y]||tX  
   cos_acb = mo_jj / (mo_ca * mo_cb) { ves@p>?  
   'ff_cos = cos_acb *~lgU4  
   If cos_acb >= 1 Then Ns(L1'9=  
   nn = 0 N@du.d:  
   ElseIf cos_acb <= -1 Then p9] 7g%  
   nn = 3.14159265258979 i4n%EDQ  
   Else q MT.7n:  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) [E :`jY  
   End If =QKgsgLh  
   'ff_angle = nn >a`zkl  
   ff_angle = nn * 180 / 3.14159265258979 ?GD?J(S  
End Function

'判断点在区域内函数 5\kZgX
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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 MHT,rqG  
Dim aob, boc, cod, doa, sum As Single 2Q'XB  
  If ppx = p1x And ppy = p1y Then { )GE
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     point_in = True Y1ilH-8  
     Exit Function ~m09yc d<  
  End If HtXBaIl\  
  If ppx = p2x And ppy = p2y Then 5Z1Do^  
     point_in = True t~W4o8<w  
     Exit Function w wRT$-!  
  End If ;gu>;_  
   If ppx = p3x And ppy = p3y Then 4bJ2<j  
     point_in = True 7te!>gUW  
     Exit Function WyJfF=<  
  End If [tf^i:2  
     l|tp
0[  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) ~aR='\<  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) T]Td4T!  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 5!Mp#lO  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) kkBV
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    sum = aob + boc + cod + doa 0B:{4Lsn&  
    If 360.01 > sum And sum > 359.99 Then }(%}"%$  
       point_in = True >,]e[/p  
    Else *]| JX&  
       point_in = False 714nUA872  
    End If <l s/3!  
End Function

'得到点半径,得到交点坐标函数 `*9FKs  
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() %f(.OR)6{  
    '求得中心点坐标 0Lz56e'j  
Dim tt As String x]+KO)I  
Dim rt(3) As Single $"n)C  
    '判断是否平行 !4.^@^L|\  
   acx = p3x - p1x uqeWdj*Y  
   acy = p3y - p1y g UAPjR  
   bdx = p4x - p2x  %!h+  
   bdy = p4y - p2y <).qe Z  
   If acx * bdy = acy * bdx Then ssbyvzQ  
      rt(0) = 0 ~e~Mx=FT0  
      Exit Function A8/4:>Is  
   Else OL"5A18;M  
      '判断斜率存在否 /Z_ [)PTH  
      If p1x = p3x And p2x <> p4x Then \~j(ui|  
         tt = "ac_n_bd_y" $ rnr;V  
      ElseIf p1x <> p3x And p2x = p4x Then QD VA*6F  
         tt = "ac_y_bd_n" ?
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      ElseIf p1x <> p3x And p2x <> p4x Then qc"/T16M]  
         tt = "ac_y_bd_y" zvC,([  
      End If +NMSvu_?  
    Select Case tt 19`0)pzZ*P  
         Case "ac_n_bd_y" buyz>ICP  
            'bd线段方程 J0bs$  
            k_bd = bdy / bdx 0DT2qM[,  
            b_bd = p2y - k_bd * p2x emIbGkH  
            p_x = p1x nW*Oo|p~=  
            p_y = k_bd * p_x + b_bd _u5U> w  
         Case "ac_y_bd_n"
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            'ac线段方程 X1D:{S[  
            k_ac = acy / acx Fpwh.R:yV  
            b_ac = p1y - k_ac * p1x r(CL=[  
            p_x = p2x \1_&?(pU  
            p_y = k_ac * p_x + b_ac A8Y~^
wn  
        Case "ac_y_bd_y" D];([:+4  
           'ac，bd线段都要求 6RodnQ  
           k_ac = acy / acx L KR,CPz  
           b_ac = p1y - k_ac * p1x u#|Jl|aT  
           k_bd = bdy / bdx y^BM*CI  
           b_bd = p2y - k_bd * p2x V7i`vo3Cc  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ?+L6o C.;  
           p_y = k_ac * p_x + b_ac xF+x I6  
        End Select _J;a[Ky+[  
      rt(1) = p_x &"n9,$  
      rt(2) = p_y eA^|B zU  
     Bn:sN_N  
'计算最大半径 C}E ea~  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) nEr, jd~f  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y)  ?C\9
lLX  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) d_B5@9e#  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) vLS6Gb't  
Dim bb(5) As Single }epN<DL  
  bb(1) = rr1 p4_uY7^6  
  bb(2) = rr2
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  bb(3) = rr3 .?:~s8kB  
  bb(4) = rr4 M/;g|J jM  
  nb = rr1 <Ux;dekz}  
For i = 1 To 4 syvi/6  
    If nb <= bb(i) Then 8 EH3zm4  
       nb = bb(i) a@1gMZc*  
    End If 9Ua@-  
Next i FgaBwd^W  
    rt(0) = Sqr(nb) r6G)R+#  
    rr = rt() "rJL ^ \r  
  End If =v9;HPiO  
         (#k#0T kE  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  5V0=-K  

=@'"\ "Nh  
有热压工艺方面的人才或者资料分享下； lMP7o&  
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 cD\Qt9EI  

高手真多！

楼主威武霸气.