[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： 2K3j3|T  
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关键点说几个： iYa)*,  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） I 8 ?  
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 FYNUap,A  
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 o7gZc/?n  

以下是几个重要的函数： V[8!ymi0  
1.判断点在区域中函数 eZL!Z!  
2.计算夹角函数 C
9Cl$yZ  
3.转置函数 2#R0Bd  
4.得到区域中心点，及区域半径函数 ?<OE|nb&  
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） t}K8{ V  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 `y"a>gHC  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single *P12d  
   cax = x2 - x1 So NgDFD  
   cay = y2 - y1 mt
*Dx  
   cbx = x2 - x3 /Zz[vf
 
   cby = y2 - y3 -t*P=V|@  
   mo_jj = cax * cbx + cay * cby ![[:Z  
   mo_ca = Sqr(cax * cax + cay * cay) u\K`TWb%  
   mo_cb = Sqr(cbx * cbx + cby * cby) +D h?MQt?  
   cos_acb = mo_jj / (mo_ca * mo_cb) I0bkc3  
   'ff_cos = cos_acb w~AO;X*Ke"  
   If cos_acb >= 1 Then
|l~#qeZ%  
   nn = 0 }dq)d.c  
   ElseIf cos_acb <= -1 Then }.A \;FDyj  
   nn = 3.14159265258979 |i(@1 l  
   Else L>`inrpz=w  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ^Y"|2 :  
   End If 2"
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   'ff_angle = nn =1
VpO{q  
   ff_angle = nn * 180 / 3.14159265258979 m.yt?`  
End Function

'判断点在区域内函数 ?J5E.7o  
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 W>$mU&ew[  
Dim aob, boc, cod, doa, sum As Single P9gAt4i  
  If ppx = p1x And ppy = p1y Then hIo^/_K  
     point_in = True "2 qivJ  
     Exit Function /,9n1|FrG  
  End If 8J0#lu  
  If ppx = p2x And ppy = p2y Then 6 Znt   
     point_in = True jrO{A3<E  
     Exit Function s&W^?eKr  
  End If Yx"~_xA/u  
   If ppx = p3x And ppy = p3y Then 2()/l9.O'  
     point_in = True j[$+hh3:  
     Exit Function FQB6`
M  
  End If :
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     m>^
#:JK  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) EE~DU;p;]  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) !F)BTB7{<  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) Nf9$q| %!  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) _lZWy$rm%  
    sum = aob + boc + cod + doa _^NL{R/  
    If 360.01 > sum And sum > 359.99 Then KD8,a+GL  
       point_in = True T:VFyby\w  
    Else IoxdWQ4]A  
       point_in = False b59
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    End If $G#)D^-5G  
End Function

'得到点半径,得到交点坐标函数 HhT6gJWrU  
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() R?J=5tO  
    '求得中心点坐标 j<-YK4.t  
Dim tt As String &&|c-mD+*  
Dim rt(3) As Single @<=<?T>1  
    '判断是否平行 1y6{3AZm<  
   acx = p3x - p1x l'#a2Pl  
   acy = p3y - p1y =U3rOYbP;  
   bdx = p4x - p2x e/y\P&"eI  
   bdy = p4y - p2y Y2P%0
 
   If acx * bdy = acy * bdx Then ck#MpQ!An  
      rt(0) = 0 Tf.DFfV#y  
      Exit Function W< :7z  
   Else
S0p[Kt  
      '判断斜率存在否 njBK{  
      If p1x = p3x And p2x <> p4x Then e'5sT#T9l  
         tt = "ac_n_bd_y" >WYradLUi  
      ElseIf p1x <> p3x And p2x = p4x Then zr1A4%S"  
         tt = "ac_y_bd_n" )\fLS d  
      ElseIf p1x <> p3x And p2x <> p4x Then ;Km74!.e7  
         tt = "ac_y_bd_y" {*t0WE&1t  
      End If </)HcRj'e  
    Select Case tt rI;tMNs  
         Case "ac_n_bd_y" y[I)hSD=  
            'bd线段方程 hd_<J]C  
            k_bd = bdy / bdx vFl06N2  
            b_bd = p2y - k_bd * p2x 61&A`  
            p_x = p1x K_CE.8G&{  
            p_y = k_bd * p_x + b_bd {|/y/xYgy'  
         Case "ac_y_bd_n" GGkU$qp2~  
            'ac线段方程 &bT \4  
            k_ac = acy / acx ]Qh0+!SdG  
            b_ac = p1y - k_ac * p1x :
6y;U  
            p_x = p2x S3.76&  
            p_y = k_ac * p_x + b_ac W60C$*h  
        Case "ac_y_bd_y" y-^m  
           'ac，bd线段都要求 .u$o^; z!  
           k_ac = acy / acx .{ r %C4q9  
           b_ac = p1y - k_ac * p1x h][$1b&B  
           k_bd = bdy / bdx PNh
xF C.  
           b_bd = p2y - k_bd * p2x y-#01Z  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 2mfKy9QxO  
           p_y = k_ac * p_x + b_ac h!q_''*;  
        End Select ,K~r':ht  
      rt(1) = p_x 8$V:+u  
      rt(2) = p_y ><3!J+<?  
     rJ)8KY>  
'计算最大半径 XPsRa[08WK  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) $I:&5o i  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) U@<]>.$  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) GR>kxYM%q  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) o-r00H|  
Dim bb(5) As Single CKr5L  
  bb(1) = rr1 CH+mzy  
  bb(2) = rr2 ^%jk.*  
  bb(3) = rr3 e|S_B*1*0  
  bb(4) = rr4 qttJ*zu  
  nb = rr1 X>4qL'b:z  
For i = 1 To 4 TIYo&?Z)  
    If nb <= bb(i) Then u5E\wRn  
       nb = bb(i) b,):&M~p  
    End If b_rHt s  
Next i ?Oyps7hXx  
    rt(0) = Sqr(nb) 5tQZf'pHfd  
    rr = rt() 5VhJ*^R`y  
  End If rs+ ["h  
         ~"}o^#@DwJ  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  J#xZ.6)  

K$I`&M(
 
有热压工艺方面的人才或者资料分享下； 7j8lhrM}^  
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 .t7ME{  

高手真多！

楼主威武霸气.