[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$?9uMl#  
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关键点说几个： FX HAZ2/\  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） P0%N Q1bn  
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 {S5RK-ax  
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 2d-TU_JqX  

以下是几个重要的函数： 
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1.判断点在区域中函数 F(#haJ$>  
2.计算夹角函数 CQ@LmTW[  
3.转置函数 p86~~rvq[  
4.得到区域中心点，及区域半径函数 L +L9Y}  
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） *:a'GC%/  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 3pB}2]  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single e"]"F{Q  
   cax = x2 - x1 ~|h lE z  
   cay = y2 - y1 538fK9[  
   cbx = x2 - x3 Sa L"!uAk  
   cby = y2 - y3 e|yX QTlvL  
   mo_jj = cax * cbx + cay * cby *'6s63)I2  
   mo_ca = Sqr(cax * cax + cay * cay) zG_p"Z7,  
   mo_cb = Sqr(cbx * cbx + cby * cby) bG"HD?A_  
   cos_acb = mo_jj / (mo_ca * mo_cb) #,G1R7  
   'ff_cos = cos_acb :pRF*^eU  
   If cos_acb >= 1 Then UEzsDJu  
   nn = 0 l';pP^.q  
   ElseIf cos_acb <= -1 Then 2gt+l?O<PS  
   nn = 3.14159265258979 ?]^zD k@~  
   Else sI'a1$  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) UVrQV$g!  
   End If {
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   'ff_angle = nn k}GjD2m  
   ff_angle = nn * 180 / 3.14159265258979 _g[-=y{Bb  
End Function

'判断点在区域内函数 /prYSRn8  
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
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Dim aob, boc, cod, doa, sum As Single Vo\H<_=
G  
  If ppx = p1x And ppy = p1y Then yYY Nu`  
     point_in = True m[spn@SF  
     Exit Function 3+ =I;nj  
  End If nU2V]-qY  
  If ppx = p2x And ppy = p2y Then 4J5pXlzV  
     point_in = True yoQ\lk  
     Exit Function e`iEy=W  
  End If pISp*&  
   If ppx = p3x And ppy = p3y Then ]3ifdGk  
     point_in = True z\TLsx  
     Exit Function &$=!dA  
  End If 9[VxskEh  
     xr[Vp  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 1oty*c  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 5dl,co{q  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 4r&f%caU  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) o5!f#Y  
    sum = aob + boc + cod + doa 71"+<C .  
    If 360.01 > sum And sum > 359.99 Then -:<lkq&/  
       point_in = True <uci9-eC  
    Else (RE2I  
       point_in = False iidT~l  
    End If ;hHi@Z9  
End Function

'得到点半径,得到交点坐标函数 Udgqkl  
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() 3@<zg1.9-  
    '求得中心点坐标 ?X9UTOx  
Dim tt As String Kct@87z  
Dim rt(3) As Single H:QhrL+7_  
    '判断是否平行 3n]79+w@z  
   acx = p3x - p1x FwG!>  
   acy = p3y - p1y
6RoAl$}'  
   bdx = p4x - p2x h6v077qG  
   bdy = p4y - p2y !*{q^IO9v&  
   If acx * bdy = acy * bdx Then .0p^W9  
      rt(0) = 0 =&nW~<- v  
      Exit Function nZk+  
   Else vFv3'b$;G  
      '判断斜率存在否 ztll}  
      If p1x = p3x And p2x <> p4x Then vB0RKk}d5  
         tt = "ac_n_bd_y" [?0d~Q(R#  
      ElseIf p1x <> p3x And p2x = p4x Then 0~Gle:  
         tt = "ac_y_bd_n" 5's~>up&  
      ElseIf p1x <> p3x And p2x <> p4x Then EGVM)ur  
         tt = "ac_y_bd_y" A8r^)QJP{  
      End If 8LzBh_J?  
    Select Case tt ?-)I+EAnE  
         Case "ac_n_bd_y" GVGlVAo|@  
            'bd线段方程 neZ.`"LV  
            k_bd = bdy / bdx i^msjA  
            b_bd = p2y - k_bd * p2x pzZk\-0R  
            p_x = p1x d+eZub94U  
            p_y = k_bd * p_x + b_bd 6gL-OJNo  
         Case "ac_y_bd_n" 4rg2y]  
            'ac线段方程 3uWkc3  
            k_ac = acy / acx ;&b.T}Nf06  
            b_ac = p1y - k_ac * p1x 64>krmVIe  
            p_x = p2x L{-LX=G^  
            p_y = k_ac * p_x + b_ac Fh$slow4!  
        Case "ac_y_bd_y" w>; L{  
           'ac，bd线段都要求 4GdX/6C.  
           k_ac = acy / acx ')Y'c  
           b_ac = p1y - k_ac * p1x 2_^aw[-  
           k_bd = bdy / bdx (t+;O;  
           b_bd = p2y - k_bd * p2x %EbPI)yY3  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ED>prE0  
           p_y = k_ac * p_x + b_ac Pz*_)N}j >  
        End Select AlE8Xu9UB  
      rt(1) = p_x {76c%<`WaP  
      rt(2) = p_y !E8X~DJ  
     '7^M{y/dU  
'计算最大半径 soA|wk\A  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) nAIo{ F  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) f5AjJYq1  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) *a;@*  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) JF&$t}
 
Dim bb(5) As Single bV+(b9  
  bb(1) = rr1 v{zMO:3  
  bb(2) = rr2 JxE53ev  
  bb(3) = rr3 Q/uwQo/  
  bb(4) = rr4 e
}/Lk5q!  
  nb = rr1 TxjYrzC  
For i = 1 To 4 a7zcIwk '{  
    If nb <= bb(i) Then !U9|x\BqJ2  
       nb = bb(i) ryF7  
    End If F:@70(<w%  
Next i 00v&lQBW  
    rt(0) = Sqr(nb) Vtc36-\1*  
    rr = rt() ?Nf>]|K:Q  
  End If ]D[DU]K  
         !tfb*@{;'  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ,?L2wl[  

% LJs  
有热压工艺方面的人才或者资料分享下； F&&$Qn_+  
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 #5V9oKM  

高手真多！

楼主威武霸气.