[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： SV~cJ]F
 
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图片:2.jpg

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关键点说几个： --|Wh^i>?  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） TwVlg;  
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 ,Qe?8En[  
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 /Q2mMSK1h  

以下是几个重要的函数： Y[$!`);Ye  
1.判断点在区域中函数 -wSg2'b4E  
2.计算夹角函数 /iJ4{p  
3.转置函数 /$'AjIg4:&  
4.得到区域中心点，及区域半径函数 3P^sM1  
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） oIb|*gX^  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 <oX7P69  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single tjluk  
   cax = x2 - x1 BC
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   cay = y2 - y1 <\}KT*Xp  
   cbx = x2 - x3 "vyNxZE  
   cby = y2 - y3 MgNU``  
   mo_jj = cax * cbx + cay * cby I$0)Px%z  
   mo_ca = Sqr(cax * cax + cay * cay) ^k#P5oV  
   mo_cb = Sqr(cbx * cbx + cby * cby) 7|[mz> "d  
   cos_acb = mo_jj / (mo_ca * mo_cb) h_T7% #0  
   'ff_cos = cos_acb %+K<<iyR|  
   If cos_acb >= 1 Then 6w(6}m.L^  
   nn = 0 Yo("U8:XX  
   ElseIf cos_acb <= -1 Then :"IE  
   nn = 3.14159265258979 yRfSJbzaf\  
   Else *UmI]E{g3(  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) }t%!9hr5D  
   End If }XSfst5-H  
   'ff_angle = nn kT!9`S\  
   ff_angle = nn * 180 / 3.14159265258979 _oUHJ~&,  
End Function

'判断点在区域内函数 ,eZ1uBI?  
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 D6Goa(!9d  
Dim aob, boc, cod, doa, sum As Single =IW?WIXk  
  If ppx = p1x And ppy = p1y Then NCk r /#!  
     point_in = True /U"CO8Da  
     Exit Function PV4(hj  
  End If TT4./R:  
  If ppx = p2x And ppy = p2y Then L.1_(3NG  
     point_in = True ( 2n>A D_  
     Exit Function ^*S)t. "  
  End If \e'R@  
   If ppx = p3x And ppy = p3y Then }=6'MjF]  
     point_in = True K_El&  
     Exit Function v{jQek4  
  End If KOp162X>r  
     elG<k%/2  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) (h5'9r  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) <Gt2(;  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 1I<rXY(a`  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) -sjd&)~S[  
    sum = aob + boc + cod + doa ;ml)l~~YU  
    If 360.01 > sum And sum > 359.99 Then u a~CEs  
       point_in = True n;$5Cq!v=  
    Else *WIj4G.d  
       point_in = False }f8Uc+  
    End If J]G?Rc  
End Function

'得到点半径,得到交点坐标函数 DVK)2La  
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() 1e>s{  
    '求得中心点坐标 )Jk0v_ X  
Dim tt As String sp5eVAd  
Dim rt(3) As Single HVP"A3}KC  
    '判断是否平行 &%s8L\?  
   acx = p3x - p1x -|Y(V5]  
   acy = p3y - p1y ;B?DfWX  
   bdx = p4x - p2x %c [F;ug  
   bdy = p4y - p2y 1 29q`u;  
   If acx * bdy = acy * bdx Then 2Ri{bWi  
      rt(0) = 0 H]$)Eg%6  
      Exit Function g"?Y+j  
   Else qnoNT%xazo  
      '判断斜率存在否 MH{GR)ng:9  
      If p1x = p3x And p2x <> p4x Then "v`  
         tt = "ac_n_bd_y" r4QxoaM  
      ElseIf p1x <> p3x And p2x = p4x Then UQ+?\wi*  
         tt = "ac_y_bd_n" wQiX<)O  
      ElseIf p1x <> p3x And p2x <> p4x Then e][B7wZ  
         tt = "ac_y_bd_y" `X`2:@gQ  
      End If baP^<w^  
    Select Case tt w^#L9i'v'  
         Case "ac_n_bd_y" |6(ZD^w  
            'bd线段方程 m^#rB`0;L  
            k_bd = bdy / bdx {qmdm`V[  
            b_bd = p2y - k_bd * p2x ;+tpvnV;]  
            p_x = p1x +q)5dYRzV  
            p_y = k_bd * p_x + b_bd K\$J4~EtG  
         Case "ac_y_bd_n" Wa1, p  
            'ac线段方程 \N4 y<  
            k_ac = acy / acx _^
'I  
            b_ac = p1y - k_ac * p1x ,N e;kI  
            p_x = p2x GN0`rEh  
            p_y = k_ac * p_x + b_ac ~>:Z6Le@  
        Case "ac_y_bd_y" IR-dU<<9O  
           'ac，bd线段都要求 T<L^N+<,{N  
           k_ac = acy / acx ylB7*>[  
           b_ac = p1y - k_ac * p1x sk 2-5S  
           k_bd = bdy / bdx %<\6TZr  
           b_bd = p2y - k_bd * p2x c1_5, 1U'  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ~O]]N;>72"  
           p_y = k_ac * p_x + b_ac 1I*7SkgKv  
        End Select ! /NG.Wf  
      rt(1) = p_x Y)$ ;Ax-D  
      rt(2) = p_y *$"gaXI  
     q-rB2  
'计算最大半径 mCWhUBghR  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) Hsihytdj  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) p<&Xd}]"^W  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) js8{]04y  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 
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Dim bb(5) As Single R-RDT9&<  
  bb(1) = rr1
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  bb(2) = rr2 i:cXwQG}B  
  bb(3) = rr3 S<L.c  
  bb(4) = rr4 sU"}-de  
  nb = rr1 \y88d4zX  
For i = 1 To 4 Kv rX{F=  
    If nb <= bb(i) Then 3 AHY|  
       nb = bb(i) je6CDFqw  
    End If  X!j{o  
Next i -PnyZ2'Z  
    rt(0) = Sqr(nb) ] )"u+  
    rr = rt() -\y-qHgb/  
  End If Y'u7 IX}  
         _6k*'aT~FK  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ~JuKV&&}K  

H<ZU#U0FZf  
有热压工艺方面的人才或者资料分享下； RiO="tX'  
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 ~"!a9GZ  

高手真多！

楼主威武霸气.