[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： FEg&EYI  
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关键点说几个： nbz?D_  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） <?iwi[S  
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 y#;@~S1W  
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 &+t,fwlM  

以下是几个重要的函数： #S4{,  
1.判断点在区域中函数 *tT}y(M  
2.计算夹角函数 a|@^N  
3.转置函数 N5[fwz w  
4.得到区域中心点，及区域半径函数 nPUq+cXy]C  
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） '4qi^$|\  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 N|h}'p  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single d+fig{<b  
   cax = x2 - x1 %zB `Sd<  
   cay = y2 - y1 #sEbu^  
   cbx = x2 - x3 t <#Yr%a  
   cby = y2 - y3 NPEs0|  
   mo_jj = cax * cbx + cay * cby 7Q.?]k&  
   mo_ca = Sqr(cax * cax + cay * cay) z>hG'  
   mo_cb = Sqr(cbx * cbx + cby * cby) "Gxf[6B  
   cos_acb = mo_jj / (mo_ca * mo_cb) Ydu=Jg5u7  
   'ff_cos = cos_acb O.*,e  
   If cos_acb >= 1 Then mi3yiR  
   nn = 0 !T|X/BR  
   ElseIf cos_acb <= -1 Then hun/H4f|  
   nn = 3.14159265258979 e2%Y8ZJG.  
   Else O- &>Dc  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ?+b )=Z  
   End If
>+fet ,  
   'ff_angle = nn :\48=>   
   ff_angle = nn * 180 / 3.14159265258979 Vo"\nj  
End Function

'判断点在区域内函数 hIC$4lR~  
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 $v+Q~\'  
Dim aob, boc, cod, doa, sum As Single 2RidI&?c<  
  If ppx = p1x And ppy = p1y Then $AUC#<*C  
     point_in = True BD9W-mF  
     Exit Function n_hV;  
  End If 9=~"^dp54%  
  If ppx = p2x And ppy = p2y Then WeE>4>^  
     point_in = True *<
zfe.  
     Exit Function soXeHjNl  
  End If '$PiyM|V  
   If ppx = p3x And ppy = p3y Then AY{caM  
     point_in = True +hRAU@RA  
     Exit Function tD.md_E  
  End If ">*PH}b  
     Uo<d]4p $  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) pog*}@OS  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) Je[wGF:%:$  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) B3]q*ERAo  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Uoh!1_oV  
    sum = aob + boc + cod + doa <|~X,g;f  
    If 360.01 > sum And sum > 359.99 Then  [ K;3Qf)  
       point_in = True B_anO{3$4  
    Else >Q#_<IcI  
       point_in = False r'uD|T H  
    End If znzh$9tH  
End Function

'得到点半径,得到交点坐标函数 |?hNl2m  
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() nxkbI:+t  
    '求得中心点坐标 >}%  
Dim tt As String 1WRQjT=o  
Dim rt(3) As Single W~z 2Q so  
    '判断是否平行 Va"Q1 *"  
   acx = p3x - p1x t23uQR#>b_  
   acy = p3y - p1y //n$#c_}u  
   bdx = p4x - p2x z^j7wMQ  
   bdy = p4y - p2y FCnOvF65  
   If acx * bdy = acy * bdx Then lk]q\yO_%  
      rt(0) = 0 sygxV  
      Exit Function ?zGx]?1P1<  
   Else VAX@'iZr  
      '判断斜率存在否 :sAb'6u1EU  
      If p1x = p3x And p2x <> p4x Then awkPFA*c'  
         tt = "ac_n_bd_y" L_3Ao'SA  
      ElseIf p1x <> p3x And p2x = p4x Then Ybo:2e  
         tt = "ac_y_bd_n" Z:9xf:g*  
      ElseIf p1x <> p3x And p2x <> p4x Then 82l$]W4  
         tt = "ac_y_bd_y" \!M6-kmi  
      End If Hd]o?q\  
    Select Case tt d$qivct  
         Case "ac_n_bd_y" /.P9n9  
            'bd线段方程 `Y>'*4a\  
            k_bd = bdy / bdx m:&go2Y  
            b_bd = p2y - k_bd * p2x uF,F<%d  
            p_x = p1x X5@+M!`  
            p_y = k_bd * p_x + b_bd Cw6\'p%l-\  
         Case "ac_y_bd_n" @oE^(  
            'ac线段方程 @h7)M:l  
            k_ac = acy / acx E><$sN6  
            b_ac = p1y - k_ac * p1x nSY3=Edx=  
            p_x = p2x 3L}eFg,d  
            p_y = k_ac * p_x + b_ac *-uA\  
        Case "ac_y_bd_y" q:h7Jik  
           'ac，bd线段都要求 U )kl!  
           k_ac = acy / acx LCBP9Rftvd  
           b_ac = p1y - k_ac * p1x lTb4quf8I  
           k_bd = bdy / bdx U'~M(9uv:  
           b_bd = p2y - k_bd * p2x _L?MYkD  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) j.=&qYc0"  
           p_y = k_ac * p_x + b_ac r@")MOGc  
        End Select HiAj3  
      rt(1) = p_x slUnB6@Q  
      rt(2) = p_y sgYPR  
     u}I-#j)wap  
'计算最大半径 tofX.oi+C$  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) |wbX
u:  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) xqm-m  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 0O>T{<
 
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) o3b=)E  
Dim bb(5) As Single co^bS;r  
  bb(1) = rr1 ob3)bI oM  
  bb(2) = rr2 ~mBY_[_s=  
  bb(3) = rr3 HSwC4y}  
  bb(4) = rr4 wrP3:!=  
  nb = rr1 i~Qnw-^B  
For i = 1 To 4 2i9FzpC3  
    If nb <= bb(i) Then K HyVI6N[  
       nb = bb(i) l,fwF ua
 
    End If _uXb 9  
Next i d1
jg3{pwA  
    rt(0) = Sqr(nb) {L'uuG\9U  
    rr = rt() Ml,~@} p  
  End If >c`r&W.t  
         &=f] a  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  >}bkX 6c5  

BXNC(^  
有热压工艺方面的人才或者资料分享下； TyvUdU  
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 Xyu0np;@  

高手真多！

楼主威武霸气.