[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： JN<u4\e{-&  
d/I*$UC  

描述:请输入描述

图片:2.jpg

MM/D5g  

关键点说几个： gY!#=?/S  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） :J;*]o:  
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 p>0n~e  
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 hT$/B|  

以下是几个重要的函数： }*M>gvPo  
1.判断点在区域中函数  Y.v. EZ  
2.计算夹角函数 2:Q2w3Xe  
3.转置函数 v?qU/  
4.得到区域中心点，及区域半径函数 5"I8ric  
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） u
O}U
vMW  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 zTvGku[3  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ntt:>j$  
   cax = x2 - x1
M
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   cay = y2 - y1 a!Ht81gj  
   cbx = x2 - x3 !JWZ}u
M6  
   cby = y2 - y3  ]pP:  
   mo_jj = cax * cbx + cay * cby rq_0"A  
   mo_ca = Sqr(cax * cax + cay * cay) 0L|D1_k[  
   mo_cb = Sqr(cbx * cbx + cby * cby) N@r`+(_t  
   cos_acb = mo_jj / (mo_ca * mo_cb) aX{i   
   'ff_cos = cos_acb s\A4y "  
   If cos_acb >= 1 Then Y5?OJO{h"  
   nn = 0
}0z]sYI  
   ElseIf cos_acb <= -1 Then xN=:*#Z"pb  
   nn = 3.14159265258979 E-J<%+  
   Else c&a.<e3mL  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 0mD=Rjb*a  
   End If z*B-`i.  
   'ff_angle = nn *wD| eK7  
   ff_angle = nn * 180 / 3.14159265258979 q7ubRak  
End Function

'判断点在区域内函数 (n0h#%  
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 ~|5B   
Dim aob, boc, cod, doa, sum As Single !au%D?w  
  If ppx = p1x And ppy = p1y Then X4{O/G  
     point_in = True ;'~GuZ#I  
     Exit Function )CM3vL {  
  End If }Z Nyd  
  If ppx = p2x And ppy = p2y Then W5_aS2$  
     point_in = True %kSpMj|  
     Exit Function GB\
1'  
  End If wseb]=U  
   If ppx = p3x And ppy = p3y Then a15kFun  
     point_in = True QssU\@/Q  
     Exit Function FhVoN}  
  End If
.qGfLvx%  
     I' TprT  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) ;N;['xcx;  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) %MH!L2|  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 3yp?|>e  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) ,ctm;T1H+  
    sum = aob + boc + cod + doa 5KIlU78  
    If 360.01 > sum And sum > 359.99 Then j8#xNA  
       point_in = True ! uX0G4  
    Else ^DH*\ee  
       point_in = False ?&rt)/DV,  
    End If ;2%8tV$V  
End Function

'得到点半径,得到交点坐标函数 -gK*&n~  
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() o`+$h:zm@  
    '求得中心点坐标 _(1Shm  
Dim tt As String @4xV3Xkf&C  
Dim rt(3) As Single &&$,BFY4  
    '判断是否平行 9_ru*j\  
   acx = p3x - p1x 2vh@KnNU  
   acy = p3y - p1y {#C)S&o)6  
   bdx = p4x - p2x fjP(r+[  
   bdy = p4y - p2y X5w_ }Nhe  
   If acx * bdy = acy * bdx Then = iXHu *g  
      rt(0) = 0 xixdv{M<FF  
      Exit Function )
p!.V(,  
   Else 3[;fO_R  
      '判断斜率存在否 vzH"O=  
      If p1x = p3x And p2x <> p4x Then A\:u5(  
         tt = "ac_n_bd_y" DqN<bu2  
      ElseIf p1x <> p3x And p2x = p4x Then "HwSW4a]  
         tt = "ac_y_bd_n" -.!+i8d>  
      ElseIf p1x <> p3x And p2x <> p4x Then #_?m.~`g[  
         tt = "ac_y_bd_y" W:hg*0z-*  
      End If vp|'Yy(9z  
    Select Case tt >O$JS,  
         Case "ac_n_bd_y" 3]wV 1<K  
            'bd线段方程 &@[pJ2  
            k_bd = bdy / bdx /C\tJ
s  
            b_bd = p2y - k_bd * p2x pgipT#_K  
            p_x = p1x tB{HH%cV  
            p_y = k_bd * p_x + b_bd Fz.Ij'8.H  
         Case "ac_y_bd_n" a>8&B  
            'ac线段方程 cf+EQY  
            k_ac = acy / acx R>T9 H0  
            b_ac = p1y - k_ac * p1x !))!!{  
            p_x = p2x U ljWBd  
            p_y = k_ac * p_x + b_ac 1G<S'd+N  
        Case "ac_y_bd_y" U~I y),5  
           'ac，bd线段都要求 aExt TE  
           k_ac = acy / acx 4H*M^?h\#  
           b_ac = p1y - k_ac * p1x FaQz03N\  
           k_bd = bdy / bdx 1EAQ ~S!2  
           b_bd = p2y - k_bd * p2x 8Ao-m38  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) /CXQ&nwY9=  
           p_y = k_ac * p_x + b_ac 2|\WaH9P  
        End Select Iq@&?,W  
      rt(1) = p_x )o`[wq  
      rt(2) = p_y MN^d28^/  
     ~+S,`8-P  
'计算最大半径 dJ.up*aR  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) l8H8c &  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ^I:f4RWo  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) y&L Lx[8^  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) XImX1GH  
Dim bb(5) As Single V>(>wSR  
  bb(1) = rr1 SQ
T]'  
  bb(2) = rr2 eZ8DW6l*  
  bb(3) = rr3 au#/Q  
  bb(4) = rr4 /*e6('9s  
  nb = rr1 PS$g*x  
For i = 1 To 4 utU;M*  
    If nb <= bb(i) Then ;Iax \rQ  
       nb = bb(i) 9Ecc~'f  
    End If +FH@|~^O  
Next i !:c_i,N  
    rt(0) = Sqr(nb) w0PAtu  
    rr = rt() oq9gFJG(  
  End If &$yDnSt\  
         SZD7"m4  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  KE-0/m4yJ  

e/x6{~ju^N  
有热压工艺方面的人才或者资料分享下； na@Go@q  
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 tT+W>oA/M  

高手真多！

楼主威武霸气.