[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： 2@TgeV0Y[  
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关键点说几个： Fb2,2Px  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 9f(0 qa  
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 HZASIsl  
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 ?g{--'L  

以下是几个重要的函数： T}}T`Ce  
1.判断点在区域中函数 IZ/PZ"n_(  
2.计算夹角函数 `w6*(t:T  
3.转置函数 X!b+Dk  
4.得到区域中心点，及区域半径函数 t
)kc`3i<A  
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） K N Y  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 >]L
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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 [+F6C  
   cax = x2 - x1 (+CNs  
   cay = y2 - y1 {e+}jZ[L  
   cbx = x2 - x3 _v#Vf*#  
   cby = y2 - y3 /n2qW.qJ>  
   mo_jj = cax * cbx + cay * cby &ggOm  
   mo_ca = Sqr(cax * cax + cay * cay) *@VS^JB  
   mo_cb = Sqr(cbx * cbx + cby * cby) 1gA^Qv~?  
   cos_acb = mo_jj / (mo_ca * mo_cb) 8I}
ATc  
   'ff_cos = cos_acb u?F^gIw  
   If cos_acb >= 1 Then eP|_  
   nn = 0 E5$Fhc  
   ElseIf cos_acb <= -1 Then /;5/7Bvj  
   nn = 3.14159265258979 2@6Qifxd@  
   Else aBd>.]l?  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) `t>A~.f  
   End If Ez/>3:;  
   'ff_angle = nn z j F'CY  
   ff_angle = nn * 180 / 3.14159265258979 )Z*nm<=  
End Function

'判断点在区域内函数 qoP/`Y6  
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 "$nff=]  
Dim aob, boc, cod, doa, sum As Single :'4",  
  If ppx = p1x And ppy = p1y Then +w2 `  
     point_in = True l`A
e&nc6  
     Exit Function 5K,=S  
  End If KTE X]  
  If ppx = p2x And ppy = p2y Then q`|rS6  
     point_in = True z?Cez*.h>  
     Exit Function 6VtN4c.Q  
  End If YmwXA e:  
   If ppx = p3x And ppy = p3y Then rhDiIO_  
     point_in = True ,YBe|3  
     Exit Function Ie[DTy  
  End If z+K1[1SM  
     !A:d9 k  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) Nwg?(h#  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) -Rwx`=6tV  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) XFv^jSF  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) uE}$ZBiq  
    sum = aob + boc + cod + doa q $=[v  
    If 360.01 > sum And sum > 359.99 Then wg4Ol*y'  
       point_in = True C^fn[plL  
    Else &bigLe  
       point_in = False y7Nd3\v [\  
    End If 61}eB/;7  
End Function

'得到点半径,得到交点坐标函数 (K('@W%\?  
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() q<K/q"0-l  
    '求得中心点坐标 GHO6$iM)[  
Dim tt As String x@@bC=iY$  
Dim rt(3) As Single 3pe1"maP  
    '判断是否平行 7b7WQ7u  
   acx = p3x - p1x 'A9Z ((  
   acy = p3y - p1y |_hIl(6F5N  
   bdx = p4x - p2x ?aguAqG$  
   bdy = p4y - p2y %Iiu#- 'B  
   If acx * bdy = acy * bdx Then t)mc~M9w  
      rt(0) = 0 i
Z4"@G:,  
      Exit Function ,'n`]@0?\  
   Else @p@b6iLpO  
      '判断斜率存在否 z 'V$)U$f  
      If p1x = p3x And p2x <> p4x Then dsg-;*%  
         tt = "ac_n_bd_y" =y=MljEX  
      ElseIf p1x <> p3x And p2x = p4x Then (|pM^+  
         tt = "ac_y_bd_n" R7A:K]iJ5  
      ElseIf p1x <> p3x And p2x <> p4x Then qCB{dp/  
         tt = "ac_y_bd_y" QQt4pDir>  
      End If g""Ep  
    Select Case tt iz0:  
         Case "ac_n_bd_y" 03.\!rZZ  
            'bd线段方程 i7e_~K  
            k_bd = bdy / bdx wG73GD38  
            b_bd = p2y - k_bd * p2x HM#|&_gV  
            p_x = p1x '>HLE)l  
            p_y = k_bd * p_x + b_bd f@k.4aS  
         Case "ac_y_bd_n" r5y*SoD!  
            'ac线段方程 EMDYeXpV  
            k_ac = acy / acx W\<HUd  
            b_ac = p1y - k_ac * p1x i1K$~  
            p_x = p2x 4(,M&NC  
            p_y = k_ac * p_x + b_ac lqmr`\@)  
        Case "ac_y_bd_y" .#Z"Sj  
           'ac，bd线段都要求  ?<T=g  
           k_ac = acy / acx r]U8WM3r  
           b_ac = p1y - k_ac * p1x SXC 7LJm<g  
           k_bd = bdy / bdx x<7?  
           b_bd = p2y - k_bd * p2x q7I!wD9Cff  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) |7Qe{  
           p_y = k_ac * p_x + b_ac 6  $`l  
        End Select UY .-Qt  
      rt(1) = p_x hZw8*H^tP  
      rt(2) = p_y (/E@.z[1  
     RRQIlI<  
'计算最大半径 zN=s]b=
/  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) uL~wMX  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) >s )L(DHa"  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 8m?cvI  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) g+7j?vC{'  
Dim bb(5) As Single j6j4M,UI43  
  bb(1) = rr1 %m|1LI(  
  bb(2) = rr2 .Hk.'>YR  
  bb(3) = rr3 >nvnU
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  bb(4) = rr4 ]]e>Jym  
  nb = rr1 } 7ND]y48  
For i = 1 To 4 F%.UpV,  
    If nb <= bb(i) Then { `xC~B h  
       nb = bb(i) #hk5z;J5
 
    End If ^Pah\p4bj  
Next i `Y^l.%AZZ  
    rt(0) = Sqr(nb) +(W7hK4ip  
    rr = rt() 3`)ej`  
  End If -wf>N:  
         m4yWhUi(o  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  A)Rh Bi  

|`s:&<W+kp  
有热压工艺方面的人才或者资料分享下； :z *jl'L  
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 @; I9e  

高手真多！

楼主威武霸气.