[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： iy: ;g  
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图片:2.jpg

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关键点说几个： 6|dUz*Pr|\  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 7e
=a D~f  
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 f@/qW!o
 
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 bL[PNUG  

以下是几个重要的函数： slmxit  
1.判断点在区域中函数 !KlSw,&=.6  
2.计算夹角函数 =J'?>-B  
3.转置函数 QJE-$ :  
4.得到区域中心点，及区域半径函数 <V8i>LBlz  
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） GB+d0 S4  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 jlP7'xt1%  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single }2.
}fHb2  
   cax = x2 - x1 _NZHrN  
   cay = y2 - y1 2~U+PyeNz  
   cbx = x2 - x3 2r0!h98  
   cby = y2 - y3 Rp|&1nS  
   mo_jj = cax * cbx + cay * cby Zs{R O  
   mo_ca = Sqr(cax * cax + cay * cay) /t^lI%&  
   mo_cb = Sqr(cbx * cbx + cby * cby) k
$ M4NF~$  
   cos_acb = mo_jj / (mo_ca * mo_cb) 4a|Fx  
   'ff_cos = cos_acb >y~_Hh(TSL  
   If cos_acb >= 1 Then eEh0T%9K  
   nn = 0 7EO&:b]  
   ElseIf cos_acb <= -1 Then Cr%r<*s  
   nn = 3.14159265258979 U:|v(U$"?  
   Else F)5Aq H/p
 
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) >z -(4Z  
   End If )89jP088V  
   'ff_angle = nn ~b[4'm@  
   ff_angle = nn * 180 / 3.14159265258979 7tpZE+OX  
End Function

'判断点在区域内函数 P$ef,ZW"  
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 IR8&4qOs  
Dim aob, boc, cod, doa, sum As Single =*}Mymhk(  
  If ppx = p1x And ppy = p1y Then =ol][)Bd  
     point_in = True ncr-i!Jjk  
     Exit Function hUxhYOp  
  End If -b}S3<15@  
  If ppx = p2x And ppy = p2y Then -\$cGIL  
     point_in = True D*gVS  
     Exit Function pe%)G6@G  
  End If gVJ#LJ  
   If ppx = p3x And ppy = p3y Then mRY6[*u  
     point_in = True 9prsL#Fn  
     Exit Function b
[;3KmUB  
  End If Q3q.*(#  
     &:#8ol(n5b  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 32LB*zc  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) cEjdImAzU  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) n{r#K_  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 08?MS_  
    sum = aob + boc + cod + doa xBfe8lor  
    If 360.01 > sum And sum > 359.99 Then >m1V9A  
       point_in = True =DTOI  
    Else KBqaI((  
       point_in = False cu?(P;mQi  
    End If {4aY}= -Q*  
End Function

'得到点半径,得到交点坐标函数 %=4ak]As  
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() 
<ii1nz  
    '求得中心点坐标 UdW(\%  
Dim tt As String *m&: Yje  
Dim rt(3) As Single n_n|^4w  
    '判断是否平行 mhLRi\[c )  
   acx = p3x - p1x d74g|`/  
   acy = p3y - p1y 3!9 yuf  
   bdx = p4x - p2x }t%>_  
   bdy = p4y - p2y $dp#nyP  
   If acx * bdy = acy * bdx Then "SU-^z  
      rt(0) = 0 t?nc0;Q9,@  
      Exit Function km\ld&d]$  
   Else ?5v5:U(A  
      '判断斜率存在否 )|x%o(n  
      If p1x = p3x And p2x <> p4x Then GP[r^Z  
         tt = "ac_n_bd_y" )
uid!d  
      ElseIf p1x <> p3x And p2x = p4x Then ,ANK3n\  
         tt = "ac_y_bd_n" 4JZHjf0M6  
      ElseIf p1x <> p3x And p2x <> p4x Then ~d%;~_n  
         tt = "ac_y_bd_y" !ObE{2Enf  
      End If i`KZ,   
    Select Case tt +e8>?dkq  
         Case "ac_n_bd_y" d[]p_oIQq  
            'bd线段方程 fEw=I7{Y  
            k_bd = bdy / bdx ^[,s_34V  
            b_bd = p2y - k_bd * p2x 1.0!H.>q  
            p_x = p1x ?5yH'9zE  
            p_y = k_bd * p_x + b_bd T6I%FXm}  
         Case "ac_y_bd_n" sVZZ
p  
            'ac线段方程 H : T N  
            k_ac = acy / acx G4`Ut1g^  
            b_ac = p1y - k_ac * p1x ~`\9Q  
            p_x = p2x RzzFhU#r  
            p_y = k_ac * p_x + b_ac _rMT{q3  
        Case "ac_y_bd_y" )jk1S  
           'ac，bd线段都要求 u.
kY
p  
           k_ac = acy / acx q^N0abzgP  
           b_ac = p1y - k_ac * p1x ?ng14e  
           k_bd = bdy / bdx zd9]qo  
           b_bd = p2y - k_bd * p2x D!RE-w92X  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ;>Ca(Y2M  
           p_y = k_ac * p_x + b_ac t{X?PF\>o  
        End Select 9fuJJ3L[  
      rt(1) = p_x ^b"bRQqm  
      rt(2) = p_y '8l yj&  
     MKe^_uF  
'计算最大半径 k%l_N)38  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) G;Wkm|  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ]<q}WjXD'  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ;wbUk5Tf/  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) !eR-Kor  
Dim bb(5) As Single 8jjFC9Cbn0  
  bb(1) = rr1 *^D@l%av;  
  bb(2) = rr2 b4v(k(<  
  bb(3) = rr3 W]
O@DS zR  
  bb(4) = rr4 B`*f(  
  nb = rr1 v\%B  
For i = 1 To 4 /bmXDDYH4  
    If nb <= bb(i) Then MyH[vE^b  
       nb = bb(i) ut$,?k!M  
    End If d@4rD}_Z  
Next i qx2E-PDL;<  
    rt(0) = Sqr(nb)
BIV<ti$.  
    rr = rt() ~!
ZmF(:  
  End If cq,v1Y<  
         rBD(2M  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  [oV{83f  

v"Me{+  
有热压工艺方面的人才或者资料分享下； 'b^l'KN:S  
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 57~Uqt  

高手真多！

楼主威武霸气.