[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： pE
wo}NS*H  
L]MWdD  
GFT@Pqq  

关键点说几个： 4Wgzp51Aq!  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 3u
j|jwL  
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 #U-y<[ 3  
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 "3VX9{'%@  

以下是几个重要的函数： CE M4E  
1.判断点在区域中函数 }-:B`:K&  
2.计算夹角函数 O`CZwXD  
3.转置函数 tC'#dU`=qY  
4.得到区域中心点，及区域半径函数 k(G6` dY  
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） D 6'd&U{_  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 PI L)(%
X  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single T x Mh_  
   cax = x2 - x1 r]LP=K1  
   cay = y2 - y1 ;F1y!h67<  
   cbx = x2 - x3 ^}2!fRKAmo  
   cby = y2 - y3 >A{e,&  
   mo_jj = cax * cbx + cay * cby RNB-W%  
   mo_ca = Sqr(cax * cax + cay * cay) (@NILK  
   mo_cb = Sqr(cbx * cbx + cby * cby) @ *Jbp  
   cos_acb = mo_jj / (mo_ca * mo_cb) .feB VRg  
   'ff_cos = cos_acb g:RS7od=,  
   If cos_acb >= 1 Then +h-% {  
   nn = 0 [[_>DM  
   ElseIf cos_acb <= -1 Then \roJf&O }  
   nn = 3.14159265258979 >7@,,~3  
   Else :o` <CO  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) \ P6 !  
   End If 3_G0eIE"u  
   'ff_angle = nn !DA4q3-U>>  
   ff_angle = nn * 180 / 3.14159265258979 9Znc|<  
End Function

'判断点在区域内函数 >l-u{([B  
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 7Z+Fjy-B  
Dim aob, boc, cod, doa, sum As Single @rqmDpU  
  If ppx = p1x And ppy = p1y Then Y\<w|LkD8  
     point_in = True `[E-V  
     Exit Function 'N6oXE
  
  End If z( ^?xv  
  If ppx = p2x And ppy = p2y Then >~7XBb08  
     point_in = True .>,Y |  
     Exit Function 5o{U$  
  End If ~Ih` ayVq  
   If ppx = p3x And ppy = p3y Then w9u|E46  
     point_in = True ~9@527m<',  
     Exit Function *eD[[HbKX  
  End If ,;YNI  
     s`Z.H5V>\  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) })8D3k
zX)  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) oFyB-vpYQV  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) vp&.  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Qu/f>tJN;  
    sum = aob + boc + cod + doa u*qI$?&  
    If 360.01 > sum And sum > 359.99 Then =MJRQV67  
       point_in = True AzzHpfv,  
    Else DB|w&tygq  
       point_in = False LIJ#nb  
    End If e6
J>qwD?  
End Function

'得到点半径,得到交点坐标函数 hb0)<^xu  
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() i,;a( Sy4  
    '求得中心点坐标 r4K_Wp  
Dim tt As String %Y/;jCY  
Dim rt(3) As Single 1W.oRD&8j/  
    '判断是否平行 >sAaLR4  
   acx = p3x - p1x 8t< X  
   acy = p3y - p1y ,. ht ~AE  
   bdx = p4x - p2x O,+9r_Gh  
   bdy = p4y - p2y $B9?>a|{A  
   If acx * bdy = acy * bdx Then 'lEIwJV$  
      rt(0) = 0 6]GHC
yo  
      Exit Function >'m&/&h  
   Else K}n.k
[Do  
      '判断斜率存在否 a_\
7Ho$^  
      If p1x = p3x And p2x <> p4x Then AL&<SxuP  
         tt = "ac_n_bd_y" dA2@PKK  
      ElseIf p1x <> p3x And p2x = p4x Then >X[:(m'  
         tt = "ac_y_bd_n" 2S:B%cj9m  
      ElseIf p1x <> p3x And p2x <> p4x Then G.N`  
         tt = "ac_y_bd_y" 3ohHBo  
      End If v9TIEmZ  
    Select Case tt oFt_ yU-  
         Case "ac_n_bd_y" R:'&>.AUw  
            'bd线段方程 _h,X3P  
            k_bd = bdy / bdx <%|u1cn~!v  
            b_bd = p2y - k_bd * p2x @qWClr{`  
            p_x = p1x U0|bKU  
            p_y = k_bd * p_x + b_bd 2t0VbAO1{  
         Case "ac_y_bd_n" '%+LQ"Bp  
            'ac线段方程 #;1RStb:zj  
            k_ac = acy / acx ~rq:I<5  
            b_ac = p1y - k_ac * p1x 7bGOE_r  
            p_x = p2x 9J_vvq`%`  
            p_y = k_ac * p_x + b_ac S<*1b 6%D  
        Case "ac_y_bd_y" V'za
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           'ac，bd线段都要求 a~!7A ZT-O  
           k_ac = acy / acx !K=$Q Uq  
           b_ac = p1y - k_ac * p1x -J'k
ed  
           k_bd = bdy / bdx o8A8fHl  
           b_bd = p2y - k_bd * p2x cYOcl-*af  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ,DCUBD u&  
           p_y = k_ac * p_x + b_ac 0>;[EFL  
        End Select #K`[XA  
      rt(1) = p_x _ Fk^lDI-  
      rt(2) = p_y $QT% -9&  
     U3M;{_g  
'计算最大半径 Dl\0xcE
  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) >$3 =yw%  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) zT!.5qd  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ?}uvpB1}  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) *y+K{ fM1  
Dim bb(5) As Single 31]Vo;D  
  bb(1) = rr1 >h9~ /  
  bb(2) = rr2 =:TQ_>$Nc2  
  bb(3) = rr3 f*m^x7  
  bb(4) = rr4 ,WoB)V.{(  
  nb = rr1 l;h -`( 11  
For i = 1 To 4 wXYT(R  
    If nb <= bb(i) Then R
(}!gv}s  
       nb = bb(i) =8]Ru(#Ig  
    End If iP9Dr<P  
Next i qM>Dt  
    rt(0) = Sqr(nb) b+dmJ]c  
    rr = rt() )wEXCXr!  
  End If ^g<Lu/5w  
         Sl \EPKZD  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  x=1Sbs w{  

V##TG0  
有热压工艺方面的人才或者资料分享下； ,\PTn7_  
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 #@L<<Q8}  

高手真多！

楼主威武霸气.