[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%c7#AX[T  
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关键点说几个： \SHD  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） U~zN*2-  
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 Pi]s<3PL  
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 {$QF*j  

以下是几个重要的函数： d=5}^v#4  
1.判断点在区域中函数 KlX |PQ  
2.计算夹角函数 S bqM=I+  
3.转置函数 J/&*OC  
4.得到区域中心点，及区域半径函数 ]2sZu7  
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） Qj~W-^/ -  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 .gsu_
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Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single iKEKk\j-w  
   cax = x2 - x1 n YMf[kW  
   cay = y2 - y1 'N,NG$G2  
   cbx = x2 - x3 lo;9sTUHT  
   cby = y2 - y3 E?5B>Jer#  
   mo_jj = cax * cbx + cay * cby ^VYZ%  
   mo_ca = Sqr(cax * cax + cay * cay) %<*pM@  
   mo_cb = Sqr(cbx * cbx + cby * cby) <Phr`/  
   cos_acb = mo_jj / (mo_ca * mo_cb) `r0 qn'*  
   'ff_cos = cos_acb 6g,3s?aT  
   If cos_acb >= 1 Then Gqz)='  
   nn = 0 T7Qd I[K%b  
   ElseIf cos_acb <= -1 Then >U Ich  
   nn = 3.14159265258979 U,3K6AZA 7  
   Else C]cT*B^  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) LFM5W&?  
   End If (=/L#Yg_  
   'ff_angle = nn bzL;)H4Eo  
   ff_angle = nn * 180 / 3.14159265258979 52R.L9Ai  
End Function

'判断点在区域内函数 D7'0o`|  
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 -r0\  
Dim aob, boc, cod, doa, sum As Single il
l'KPy  
  If ppx = p1x And ppy = p1y Then 6D]G*gwk[  
     point_in = True >N"PLSY1  
     Exit Function (zODV4,5k`  
  End If Pb&+(j  
  If ppx = p2x And ppy = p2y Then ^7<mlr  
     point_in = True ?PtRb:RHt  
     Exit Function D_kzR  
  End If 03\8e?$  
   If ppx = p3x And ppy = p3y Then `5jB|
r/  
     point_in = True kF~e3A7C
 
     Exit Function 
:@'0)7  
  End If P[K T  
     m&c(N  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) $=a$z"  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) \(t>(4s_~  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) &8L\FAY0%9  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) m|gd9m$,?  
    sum = aob + boc + cod + doa nezbmpL4  
    If 360.01 > sum And sum > 359.99 Then _jKVA6_E  
       point_in = True n,LKkOG  
    Else JNCtsfd
 
       point_in = False epyYo&x}  
    End If eV}Tx;1|}  
End Function

'得到点半径,得到交点坐标函数 eZ$1|Sj]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() BVeNK=7m%  
    '求得中心点坐标 Jtk(yp{Zz  
Dim tt As String Lxrn#Z eM  
Dim rt(3) As Single =%G[vm/-)  
    '判断是否平行 'mR+W{r  
   acx = p3x - p1x $oH,:x?}  
   acy = p3y - p1y C{^@.8:  
   bdx = p4x - p2x S*:w\nXP~  
   bdy = p4y - p2y (j"MsCwE  
   If acx * bdy = acy * bdx Then %W@IB8]Vr  
      rt(0) = 0  p$v +L  
      Exit Function H.K`#W&  
   Else oPZ4}>uV  
      '判断斜率存在否 ,Yz+?SmSZ&  
      If p1x = p3x And p2x <> p4x Then (Ad!hyE(  
         tt = "ac_n_bd_y" JFdzA  
      ElseIf p1x <> p3x And p2x = p4x Then M lwQ_5O  
         tt = "ac_y_bd_n" ! .}{ f;Ls  
      ElseIf p1x <> p3x And p2x <> p4x Then 4tWI)}+ak  
         tt = "ac_y_bd_y" ywte\}  
      End If 4N: ;Mo&B  
    Select Case tt . %7A
7a  
         Case "ac_n_bd_y" 1^dWmxUZH  
            'bd线段方程 Ba~Iy2\x  
            k_bd = bdy / bdx pQ8+T|0x  
            b_bd = p2y - k_bd * p2x i(rY'o2 BN  
            p_x = p1x ]aL}&GlHt  
            p_y = k_bd * p_x + b_bd h (2k;M^s  
         Case "ac_y_bd_n" 0k [6  
            'ac线段方程 e vuP4-[y  
            k_ac = acy / acx KYN{iaj  
            b_ac = p1y - k_ac * p1x M+:wa@Kl  
            p_x = p2x g.s oNqt=  
            p_y = k_ac * p_x + b_ac Df^S77&c!  
        Case "ac_y_bd_y" bux-t3g7+  
           'ac，bd线段都要求 ~G:7*:[b  
           k_ac = acy / acx
Pq%cuT%  
           b_ac = p1y - k_ac * p1x Fwqf4&/  
           k_bd = bdy / bdx '"^JNb^I  
           b_bd = p2y - k_bd * p2x ;wrgpP3  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ]+P&Y:  
           p_y = k_ac * p_x + b_ac 
Zlo,#q  
        End Select eH{ 9w8~  
      rt(1) = p_x TVA1FD
 
      rt(2) = p_y 9_{!nQC.g  
     FeLP!oS>  
'计算最大半径 L4b4X  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) Gy%e%'  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) @35shLs  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 4fswx@l  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) H;1}Nvvd  
Dim bb(5) As Single pkx>6(Y  
  bb(1) = rr1 zdE^v{}|  
  bb(2) = rr2 d9"4m>ymS  
  bb(3) = rr3 flqTx)xE  
  bb(4) = rr4 UEUTu}4y  
  nb = rr1 ZD(gYNi  
For i = 1 To 4 %3j5Q   
    If nb <= bb(i) Then A$cbH.  
       nb = bb(i) 2wCRT}C  
    End If QL#y)G53Q  
Next i ~@lNBF  
    rt(0) = Sqr(nb)  ~A/_\-  
    rr = rt() r;z A `  
  End If & j43DYw4  
         AK HH{_  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  {}z7N~  

PJ'l:IU  
有热压工艺方面的人才或者资料分享下； d^7<l_u~ !  
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 }sFHb[I &  

高手真多！

楼主威武霸气.