[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： {3})=>u:S  
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关键点说几个： + OV')oE  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域）  h:lt<y  
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 Ii7QJ:^  
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 dU\%Cq-G)  

以下是几个重要的函数： >0p$(>N]  
1.判断点在区域中函数 - 0?^#G}3}  
2.计算夹角函数 d #jK=:eK  
3.转置函数 3\T2?w9u(  
4.得到区域中心点，及区域半径函数 7d92Pe  
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） ''\;z<v  
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.wqZ {G  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single L@JOGCYy  
   cax = x2 - x1 Qp`gswvE  
   cay = y2 - y1 :$MG*/Q  
   cbx = x2 - x3 5q"ON)x  
   cby = y2 - y3 [pVamE  
   mo_jj = cax * cbx + cay * cby Wu)>U  
   mo_ca = Sqr(cax * cax + cay * cay) |lv|!]qAma  
   mo_cb = Sqr(cbx * cbx + cby * cby) Zw wqSyuGf  
   cos_acb = mo_jj / (mo_ca * mo_cb) t43)F9!  
   'ff_cos = cos_acb r,_?F7  
   If cos_acb >= 1 Then %'0TXr$  
   nn = 0 Pz$R(TV  
   ElseIf cos_acb <= -1 Then "vtCTl~t  
   nn = 3.14159265258979 !'L
W_@  
   Else TIvRhbu  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) %v2R.?F8  
   End If v@#b}N0n  
   'ff_angle = nn H4]Ul eU  
   ff_angle = nn * 180 / 3.14159265258979 Ytg
j|@jsp  
End Function

'判断点在区域内函数 n("0%@ov  
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 } (!EuLL  
Dim aob, boc, cod, doa, sum As Single n@G[  
  If ppx = p1x And ppy = p1y Then <oz!H[!  
     point_in = True VE8;sGaJ  
     Exit Function yv)ux:P&+  
  End If 4V~?.  
  If ppx = p2x And ppy = p2y Then Y
tO|D  
     point_in = True aN(|'uO@  
     Exit Function /a6Xa&(B  
  End If 8zMu7,E  
   If ppx = p3x And ppy = p3y Then jbR0%X2  
     point_in = True }CfqG?)  
     Exit Function Zkf0p9h\  
  End If >$2V%};  
     V%Sy"IG  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) ^%`wJ.c  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) hdVdcnM  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) -1J[n0O.  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) fNrgdfo  
    sum = aob + boc + cod + doa 2=_gf  
    If 360.01 > sum And sum > 359.99 Then Ge<nxl<Bd  
       point_in = True vv=VRhwF  
    Else f^VP/rdg  
       point_in = False : >>@rF ,  
    End If (T2m"Yi:  
End Function

'得到点半径,得到交点坐标函数 F+u|HiYG  
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() 7.`fJf?   
    '求得中心点坐标 \eFR(gO+  
Dim tt As String l]5w$dded~  
Dim rt(3) As Single s-v  
    '判断是否平行 nvPwngEQm  
   acx = p3x - p1x g1(IR)U!z  
   acy = p3y - p1y >vA2A1WhW  
   bdx = p4x - p2x AA7C$;Z15~  
   bdy = p4y - p2y #_u~/jhX  
   If acx * bdy = acy * bdx Then KRA/MQ^7~U  
      rt(0) = 0 ,2W8=ON  
      Exit Function MNV% =G  
   Else Gn&4V}F  
      '判断斜率存在否 hodgDrmO/  
      If p1x = p3x And p2x <> p4x Then Q 7?#=N?  
         tt = "ac_n_bd_y" ^U!0-y  
      ElseIf p1x <> p3x And p2x = p4x Then O<V4HUW  
         tt = "ac_y_bd_n" E@b(1@  
      ElseIf p1x <> p3x And p2x <> p4x Then 0vw4?>Jf@  
         tt = "ac_y_bd_y" @<x*.8  
      End If &c,kQo+pA  
    Select Case tt =
y-
@AU8  
         Case "ac_n_bd_y" J Px~VnE%%  
            'bd线段方程 =y!$/(H  
            k_bd = bdy / bdx }1upi=+aE  
            b_bd = p2y - k_bd * p2x {yExQbN  
            p_x = p1x hzvd t  
            p_y = k_bd * p_x + b_bd <Sr  
         Case "ac_y_bd_n" r! MWbFw|X  
            'ac线段方程 r%+V8o  
            k_ac = acy / acx {Ja!~N;3  
            b_ac = p1y - k_ac * p1x - RU=z!{  
            p_x = p2x ;-qO'V:;  
            p_y = k_ac * p_x + b_ac $\U4hHOo  
        Case "ac_y_bd_y" ~5oPpTAe  
           'ac，bd线段都要求 T]c%!&^_  
           k_ac = acy / acx Sb82}$sO  
           b_ac = p1y - k_ac * p1x ?)ONf#4Y  
           k_bd = bdy / bdx WA&!;Zq  
           b_bd = p2y - k_bd * p2x 5f 5f0|ok  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) w {3<{  
           p_y = k_ac * p_x + b_ac qO|R^De  
        End Select VB*oGG  
      rt(1) = p_x 3zc
U%*  
      rt(2) = p_y W*I(f]8:y`  
     Iepsz  
'计算最大半径 V6,H}k  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) Ev}C<zk*  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) "L&#lfOKG  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) L bmawi^  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y)  ^0\  
Dim bb(5) As Single j=r P:#  
  bb(1) = rr1 LHo3 Niy.  
  bb(2) = rr2 ",KCCis  
  bb(3) = rr3 9eQxit7  
  bb(4) = rr4 ~ r438&  
  nb = rr1 .0`m\~L  
For i = 1 To 4 7V!*NBsl  
    If nb <= bb(i) Then @X;!92i  
       nb = bb(i) E;R n`oxk  
    End If N@Uy=?)ZJ  
Next i lSVp%0jR  
    rt(0) = Sqr(nb)
_v> }_S  
    rr = rt() Evg_q>  
  End If %2{%Obp'  
         ud'-;W  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  A@1W}8qY:  

7Bzq,2s
 
有热压工艺方面的人才或者资料分享下； ; >hNt  
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 |ef7bKU8  

高手真多！

楼主威武霸气.