[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： 56
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关键点说几个： gaQdG=G8$
 
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） |P[w==AAf  
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 PbW(%7o(t  
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 /rMI"khB  

以下是几个重要的函数： 2w59^"<,  
1.判断点在区域中函数 9}l33T4T  
2.计算夹角函数 <d,b'<z s  
3.转置函数 &{ay=Mj  
4.得到区域中心点，及区域半径函数 !HrKXy0{  
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） M|6A0m#Q  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 /h+8A',  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single _I:~@  
   cax = x2 - x1 ^?U!pq-`  
   cay = y2 - y1 u6T+Cg  
   cbx = x2 - x3 7
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   cby = y2 - y3 xgbJ2Mh  
   mo_jj = cax * cbx + cay * cby }3o|EXx=  
   mo_ca = Sqr(cax * cax + cay * cay) SNfr"2c'h~  
   mo_cb = Sqr(cbx * cbx + cby * cby) a&tSj35*6  
   cos_acb = mo_jj / (mo_ca * mo_cb) Nd`%5%'::  
   'ff_cos = cos_acb )T';qm0w  
   If cos_acb >= 1 Then WfWN(:dF  
   nn = 0 pNOwDJtK  
   ElseIf cos_acb <= -1 Then k,'L}SK  
   nn = 3.14159265258979 iJ~Zkd  
   Else 21 O'M  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) K&nE_.kbl  
   End If 6qRx0"qB  
   'ff_angle = nn uv=.2U46  
   ff_angle = nn * 180 / 3.14159265258979 yOphx07 (  
End Function

'判断点在区域内函数 :z4)5= 6M  
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 z54EG:x.7^  
Dim aob, boc, cod, doa, sum As Single 7B
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  If ppx = p1x And ppy = p1y Then 1y-y6q  
     point_in = True K<pV  
     Exit Function L!rw[x  
  End If 86(I^=  
  If ppx = p2x And ppy = p2y Then My<snmr2d  
     point_in = True WKT4D}{1  
     Exit Function 8S%52W|  
  End If 2W/?q!t  
   If ppx = p3x And ppy = p3y Then cc#gEm)3C  
     point_in = True 99}(~B  
     Exit Function Qk\A c  
  End If dik:4;  
     7]9 a<  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) ?mWw@6G,  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) ZkAU17f  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) V\u>"3BQw  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Cg&e(  
    sum = aob + boc + cod + doa RT)d]u  
    If 360.01 > sum And sum > 359.99 Then o>/YAX:.!T  
       point_in = True Cz72?[6  
    Else /x5rf  
       point_in = False zRq-b`<7V  
    End If >+
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End Function

'得到点半径,得到交点坐标函数 Ys,{8Y,7  
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() 3 |hHR  
    '求得中心点坐标 `0P$#5?  
Dim tt As String dZi(&s  
Dim rt(3) As Single Ttxqf:OMf  
    '判断是否平行 fRtUvC-#H  
   acx = p3x - p1x O9EKRt  
   acy = p3y - p1y JcbwDlUb  
   bdx = p4x - p2x ^1Zeb$Nw'  
   bdy = p4y - p2y 9T|IvQK8  
   If acx * bdy = acy * bdx Then ]@uE#a:[  
      rt(0) = 0 ZCB_  
      Exit Function J.ck~;3  
   Else t%'Z<DmG+  
      '判断斜率存在否 q~3,yyu  
      If p1x = p3x And p2x <> p4x Then xER\ZpA:,  
         tt = "ac_n_bd_y" EmODBTu+  
      ElseIf p1x <> p3x And p2x = p4x Then u86"Y^d#  
         tt = "ac_y_bd_n" \ C+(~9@|  
      ElseIf p1x <> p3x And p2x <> p4x Then |lJX 3  
         tt = "ac_y_bd_y" n@U n  
      End If 4?-.ZUT-1  
    Select Case tt d/bEt&  
         Case "ac_n_bd_y" qe!fk?T}  
            'bd线段方程 o(S{VGi,  
            k_bd = bdy / bdx f. FYR|%tq  
            b_bd = p2y - k_bd * p2x KuMF^0V%c  
            p_x = p1x 2I&o69x?  
            p_y = k_bd * p_x + b_bd SQqD:{#g"  
         Case "ac_y_bd_n" 1RK=,Wx  
            'ac线段方程 .h9l7 nZt  
            k_ac = acy / acx #|*F1K  
            b_ac = p1y - k_ac * p1x _cc#Qlw 7  
            p_x = p2x 7.Z@Wr?  
            p_y = k_ac * p_x + b_ac S(uf(q|{  
        Case "ac_y_bd_y" wg0 \_@3  
           'ac，bd线段都要求 |b-]n"}c>  
           k_ac = acy / acx nWMmna.5  
           b_ac = p1y - k_ac * p1x 9nH?l{As  
           k_bd = bdy / bdx *,Za6.=  
           b_bd = p2y - k_bd * p2x ik!..9aB  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 'JNElXqrv  
           p_y = k_ac * p_x + b_ac |\U5),m  
        End Select 'Er:a?88l  
      rt(1) = p_x q*2N{  
      rt(2) = p_y 1qf!DMcdZ  
     Fd#m<"  
'计算最大半径 pp
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   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 1[jb)j1  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ap{
2$k ,  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) /r-aPJX  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ~M\I;8ne  
Dim bb(5) As Single I(
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  bb(1) = rr1 @DZB9DDR  
  bb(2) = rr2 e0J6Ae4V[  
  bb(3) = rr3 kI:}| _  
  bb(4) = rr4 u-tQ9ioKC  
  nb = rr1 QK+(g,)_86  
For i = 1 To 4 Zc!@0  
    If nb <= bb(i) Then ,2j.<g&
  
       nb = bb(i) om]4
BRe  
    End If glDh([  
Next i ,:`ND28V7  
    rt(0) = Sqr(nb) kiRa+w:  
    rr = rt() Wd
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  End If ZeEWp3vW  
         "h|'}7p  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  oxj3[</'k  

@w>zF/  
有热压工艺方面的人才或者资料分享下； =E&OuX-R  
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 #eN{!Niy&U  

高手真多！

楼主威武霸气.