[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： ]mkJw3  
.P/xs4  

描述:请输入描述

图片:2.jpg

.j 'wQ+_  

关键点说几个： Ru7L>(Njs  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 22b
T3  
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 6Kht:WE  
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 /#\?1)jCK  

以下是几个重要的函数： 8l?w=)Qy  
1.判断点在区域中函数 7 s-`QdWX  
2.计算夹角函数 h9Z[z73_a  
3.转置函数 okh0_4  
4.得到区域中心点，及区域半径函数 ;>/
ipnx  
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） 3Pa3f >}-  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 f0g6g!&gf  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ju r1!rg%  
   cax = x2 - x1 QZ:v  
   cay = y2 - y1 U0zW9jB  
   cbx = x2 - x3 "1\(ZKG8^Q  
   cby = y2 - y3 bL#sn_(m  
   mo_jj = cax * cbx + cay * cby AwA1&mh  
   mo_ca = Sqr(cax * cax + cay * cay) ^Y#@$c  
   mo_cb = Sqr(cbx * cbx + cby * cby) f};!m=b  
   cos_acb = mo_jj / (mo_ca * mo_cb) S]tkz*w0*  
   'ff_cos = cos_acb e|35|I '  
   If cos_acb >= 1 Then rR3m'[  
   nn = 0 zmdWVFVv  
   ElseIf cos_acb <= -1 Then yr (g~MQ  
   nn = 3.14159265258979 }i
sCvb  
   Else  %L{  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) `f2W;@V0  
   End If t4C<#nfo  
   'ff_angle = nn B?!9W@  
   ff_angle = nn * 180 / 3.14159265258979 <tGI]@Nwk  
End Function

'判断点在区域内函数 EKV+?jj$  
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 >Iu]T{QNO  
Dim aob, boc, cod, doa, sum As Single o",f(v&u%  
  If ppx = p1x And ppy = p1y Then myEGibhK  
     point_in = True &Bj,.dD/a  
     Exit Function ppPG+[cz  
  End If Xp<A@2wt?  
  If ppx = p2x And ppy = p2y Then Mb2:'u[  
     point_in = True cfrvy^>,  
     Exit Function f)p>nW?Z  
  End If 82G lbd)  
   If ppx = p3x And ppy = p3y Then /5L'9e  
     point_in = True x&Q+|b%  
     Exit Function 4r68`<mn[  
  End If x*5 Ch~<k  
     ^.ZSpc}<  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) "#_)G7W+e  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) !$%/ rQ9  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) xl1L4R)6D  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Wq=ZU\Y  
    sum = aob + boc + cod + doa )x_W&*oZ  
    If 360.01 > sum And sum > 359.99 Then ^KaqvG$ed  
       point_in = True CVyx lc>  
    Else Zj%B7s1A  
       point_in = False 4GMa5]Ft  
    End If f.U0E6-(3N  
End Function

'得到点半径,得到交点坐标函数 2|T|K?R^  
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() k"3Z@Px:  
    '求得中心点坐标 UY}9
 
Dim tt As String Lic{'w&  
Dim rt(3) As Single ZTgAZ5_cz  
    '判断是否平行 ]noP  
   acx = p3x - p1x !9e\O5PmO  
   acy = p3y - p1y iECC@g@a  
   bdx = p4x - p2x +[X.-,yW  
   bdy = p4y - p2y $ly#zQ
R  
   If acx * bdy = acy * bdx Then `[C v-  
      rt(0) = 0 .dg 4gr\D  
      Exit Function u@:=qd=\  
   Else "2vNkO##  
      '判断斜率存在否 )DklOE
O  
      If p1x = p3x And p2x <> p4x Then .NNcc4+  
         tt = "ac_n_bd_y" [i<$ZP
  
      ElseIf p1x <> p3x And p2x = p4x Then ~q'w),bE"Q  
         tt = "ac_y_bd_n" 2heWE  
      ElseIf p1x <> p3x And p2x <> p4x Then Q)%8
NVs  
         tt = "ac_y_bd_y" +_-)0[+p  
      End If @> +^<  
    Select Case tt ?}1JL6mF{  
         Case "ac_n_bd_y" YP .%CD(K  
            'bd线段方程 :Z*02JwK  
            k_bd = bdy / bdx D 7;~x]*  
            b_bd = p2y - k_bd * p2x ~q#[5l(r8  
            p_x = p1x 6>LQGO  
            p_y = k_bd * p_x + b_bd 6/V{>MTZg  
         Case "ac_y_bd_n" ~'Qpf 8)  
            'ac线段方程 kERaY9L\  
            k_ac = acy / acx ZhJ|ZvJ  
            b_ac = p1y - k_ac * p1x "$,}|T?Y`  
            p_x = p2x om*tdG  
            p_y = k_ac * p_x + b_ac KOAz-h@6   
        Case "ac_y_bd_y" "PDSqYA  
           'ac，bd线段都要求 )z4kP09  
           k_ac = acy / acx J7
*G/F  
           b_ac = p1y - k_ac * p1x 1Hk<_no5  
           k_bd = bdy / bdx qhn&;{{  
           b_bd = p2y - k_bd * p2x !w;A=  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 1TD&&EC  
           p_y = k_ac * p_x + b_ac 9bzYADLI  
        End Select KoQ_:`  
      rt(1) = p_x 5Ky9Pz  
      rt(2) = p_y L2/<+Zw  
     z*k3q`=>  
'计算最大半径 ;t@ 3Go  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 6!Tf'#TV~!  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) CSk  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) x1hs19s  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) [}xIg
8  
Dim bb(5) As Single 9B6_eFb  
  bb(1) = rr1 ).O2_<&?F  
  bb(2) = rr2 E{k%d39>  
  bb(3) = rr3 CDTk  
  bb(4) = rr4 )/N Xh'  
  nb = rr1 J1y2Qw$G  
For i = 1 To 4 h?pGw1Q  
    If nb <= bb(i) Then ,n,7.m.D  
       nb = bb(i) ReGO9}  
    End If o y%g{,V  
Next i n.H`1@  
    rt(0) = Sqr(nb) /+JP~K  
    rr = rt() -"JE-n  
  End If m%$E[cUW!  
         XGrxzO|{  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  @ShJ:  

n7<-lQRaxZ  
有热压工艺方面的人才或者资料分享下； 4>eg@sN  
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 @)B5^[4(;  

高手真多！

楼主威武霸气.