[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： 4)./d2/E  
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图片:2.jpg

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关键点说几个： #n&/yYl9(l  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 7 \)OWp  
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 +NL^/y<;  
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 ip6$Z3[)  

以下是几个重要的函数： 0\3mS{s  
1.判断点在区域中函数 {.c(Sw}Eo  
2.计算夹角函数 ^wesuW@=  
3.转置函数 `;Qw/xl_N  
4.得到区域中心点，及区域半径函数 ?Ne@OMc  
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） +%vBDcf  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 |X&.+RI  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 8vFt<k}G  
   cax = x2 - x1 %jaB>4.A:  
   cay = y2 - y1 ~3k& =3d]  
   cbx = x2 - x3 W_k;jy_{9  
   cby = y2 - y3 C9l5zb~D  
   mo_jj = cax * cbx + cay * cby jwsl"zL  
   mo_ca = Sqr(cax * cax + cay * cay) ,>"rcd  
   mo_cb = Sqr(cbx * cbx + cby * cby) +Kc1a;  
   cos_acb = mo_jj / (mo_ca * mo_cb) QoZ7
l]^  
   'ff_cos = cos_acb K:PzR,nn  
   If cos_acb >= 1 Then 08)X:@ w?  
   nn = 0 jG($:>3a@  
   ElseIf cos_acb <= -1 Then @**@W[EM  
   nn = 3.14159265258979 fQ>=\*b9x^  
   Else =%u\x=u|  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 8`bQ,E+2  
   End If f8]Qn8  
   'ff_angle = nn -TnvX(ok4  
   ff_angle = nn * 180 / 3.14159265258979 uK6_HvHuy  
End Function

'判断点在区域内函数 yX:A?U  
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 C+{du^c$  
Dim aob, boc, cod, doa, sum As Single $lk
d9r1  
  If ppx = p1x And ppy = p1y Then [~&C6pR  
     point_in = True e_C9VNP  
     Exit Function U3SF'r8  
  End If -ya0!D  
  If ppx = p2x And ppy = p2y Then $`q8-+{  
     point_in = True h&|wqna  
     Exit Function l!2hwRR  
  End If .H1kl)~V  
   If ppx = p3x And ppy = p3y Then BoZG^  
     point_in = True "BB#[@
 
     Exit Function wk {9  
  End If M1._{Jw5  
     _!FM^N}|  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) w)bLdQ  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) K`.wj8zGY  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) p%304oP6  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) wn*z*  
    sum = aob + boc + cod + doa z1\G,mJK  
    If 360.01 > sum And sum > 359.99 Then %qA +zPf  
       point_in = True [BS3y`c  
    Else g*UI~rp  
       point_in = False j!r4p,  
    End If OCy\aCp  
End Function

'得到点半径,得到交点坐标函数 +Ux)m4}j  
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() '< OB j  
    '求得中心点坐标 oRM EC7!A0  
Dim tt As String I`h9P2~  
Dim rt(3) As Single m{={
a5GD  
    '判断是否平行 bw#z
MU^E  
   acx = p3x - p1x @aR! -}  
   acy = p3y - p1y ]UnZc  
   bdx = p4x - p2x %hU8ycI*h  
   bdy = p4y - p2y S~
vbISl  
   If acx * bdy = acy * bdx Then "s$v?voo  
      rt(0) = 0 w<_.T#  
      Exit Function OVO0Emv  
   Else *[*#cMZ   
      '判断斜率存在否 g~d}?B\<@  
      If p1x = p3x And p2x <> p4x Then Z,o*M#}  
         tt = "ac_n_bd_y" e,Xvt5  
      ElseIf p1x <> p3x And p2x = p4x Then ^SCZ  
         tt = "ac_y_bd_n" EWN$ILdD  
      ElseIf p1x <> p3x And p2x <> p4x Then ,=lMtW  
         tt = "ac_y_bd_y" /_rAy  
      End If '#<?QE!d2  
    Select Case tt  TyMRm  
         Case "ac_n_bd_y" M;W{A)0i1  
            'bd线段方程 )
8oI s  
            k_bd = bdy / bdx ~BCSm]j  
            b_bd = p2y - k_bd * p2x 
7\^b+*  
            p_x = p1x c=H(*#  
            p_y = k_bd * p_x + b_bd sSOI5W3A  
         Case "ac_y_bd_n" D8_m_M|P  
            'ac线段方程 ~fsAPIQ  
            k_ac = acy / acx >q <,FY!A  
            b_ac = p1y - k_ac * p1x _jef{j  
            p_x = p2x wd*i~A3+?  
            p_y = k_ac * p_x + b_ac :c,\8n  
        Case "ac_y_bd_y" H;,cUb  
           'ac，bd线段都要求  D@qq=M  
           k_ac = acy / acx GQ&9by=}  
           b_ac = p1y - k_ac * p1x )8&Q.? T  
           k_bd = bdy / bdx Z5Ao3O@  
           b_bd = p2y - k_bd * p2x E?&
dZR  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 1oo'\
 
           p_y = k_ac * p_x + b_ac qB@]$  
        End Select g=pz&cz;>\  
      rt(1) = p_x <_MQC  
      rt(2) = p_y q=bJ9iJsq  
     _h_;nS.Y  
'计算最大半径 dk({J  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y)
}*$-rieg  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 2U>1-p&dn  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ]*}*zXN/E  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) %x
LziF  
Dim bb(5) As Single !`,6E`Y#  
  bb(1) = rr1 ,{itnKJC  
  bb(2) = rr2 ?TE#4}p|  
  bb(3) = rr3 7*^\mycv  
  bb(4) = rr4 65ijzZL;  
  nb = rr1 2DTH|Yv  
For i = 1 To 4 0$&Z_oJ  
    If nb <= bb(i) Then H` Q_gy5Z(  
       nb = bb(i) xm~ff+(&@S  
    End If 60~{sk~E  
Next i (W3R3>;  
    rt(0) = Sqr(nb) /lttJJDU  
    rr = rt() D.qbzJz  
  End If S~YrXQ{_>-  
         xQ1&j,R]  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  kf"cd1  

cO(|>&tJ  
有热压工艺方面的人才或者资料分享下； rX;
(48Y  
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 ^o?.Rph|i]  

高手真多！

楼主威武霸气.