[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： X H-_tvB  

b6bs .  

描述:请输入描述

图片:2.jpg

r3W3;L  

关键点说几个： JZ:@iI5>+  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） q,vWu(.  
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 X\AH^I6S  
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 ,#K/+T  

以下是几个重要的函数： Ld4U  
1.判断点在区域中函数 U1[)eD`  
2.计算夹角函数 )cqD">vs  
3.转置函数 '5e,@t%y  
4.得到区域中心点，及区域半径函数 tt"<1 z@  
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） g7\=  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 L, JQ\!c  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ekM? '9ez  
   cax = x2 - x1 Cp8=8N(Xb  
   cay = y2 - y1 E+f)Zg :  
   cbx = x2 - x3 XYEwn_Y  
   cby = y2 - y3 $Ome]+0  
   mo_jj = cax * cbx + cay * cby #Y'eS'lv4  
   mo_ca = Sqr(cax * cax + cay * cay) d2rs+-  
   mo_cb = Sqr(cbx * cbx + cby * cby) $v^hzC  
   cos_acb = mo_jj / (mo_ca * mo_cb) !?2)apM  
   'ff_cos = cos_acb T$4{fhV \  
   If cos_acb >= 1 Then wPA^nZ^}9c  
   nn = 0 }^ rxsx`  
   ElseIf cos_acb <= -1 Then o[|[xuTm  
   nn = 3.14159265258979 nbi7rcT  
   Else [a=exK  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) >=~\b  
   End If 8nz({Mb9Z  
   'ff_angle = nn 5)[~ T2j!  
   ff_angle = nn * 180 / 3.14159265258979 NYm"I`5w  
End Function

'判断点在区域内函数 7_0p& 3  
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 04a ^jjc  
Dim aob, boc, cod, doa, sum As Single U1RU2M]v  
  If ppx = p1x And ppy = p1y Then 7Cgi&  
     point_in = True Gp"GTPT{  
     Exit Function L@
}PW)#  
  End If G7Nw}cVJ)  
  If ppx = p2x And ppy = p2y Then *Gsj pNr-  
     point_in = True 5
]xuU.w'  
     Exit Function 7|rH9Bc{U  
  End If 3h@]cWp  
   If ppx = p3x And ppy = p3y Then RNg?o[S  
     point_in = True Lvk}%,S8t  
     Exit Function nJDGNm,  
  End If ys_2?uv  
     Y.:R-|W  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) Z;0~f<e%  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) U&?hG>  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) hI[} -  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 2RiJm"   
    sum = aob + boc + cod + doa i"{O~
[  
    If 360.01 > sum And sum > 359.99 Then uuzV,q  
       point_in = True <p@Cx
 
    Else *}[\%u$ T  
       point_in = False f?3-C8hU  
    End If pYr"3BwG  
End Function

'得到点半径,得到交点坐标函数 6FS%9.Ws  
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() xR7ZqTcw  
    '求得中心点坐标 ^r}c&@  
Dim tt As String w5FIHYl6B  
Dim rt(3) As Single A5l Cc b  
    '判断是否平行 eJDZ|$  
   acx = p3x - p1x }=R]<`Sj.j  
   acy = p3y - p1y 5Qgu:)}  
   bdx = p4x - p2x ;vx5 =^7P  
   bdy = p4y - p2y TnW`#.f  
   If acx * bdy = acy * bdx Then `oRyw6Sko  
      rt(0) = 0 5Xy(za  
      Exit Function _]:b@gXUw  
   Else =SDex.ZK]
 
      '判断斜率存在否 o3WOp80hz  
      If p1x = p3x And p2x <> p4x Then bM W|:rn  
         tt = "ac_n_bd_y" RTtKf i}  
      ElseIf p1x <> p3x And p2x = p4x Then a~o<>H  
         tt = "ac_y_bd_n" yOM/UdWq  
      ElseIf p1x <> p3x And p2x <> p4x Then yD[d%w  
         tt = "ac_y_bd_y" c:Ua\$)u3,  
      End If "be\%W+<  
    Select Case tt g[xoS\d  
         Case "ac_n_bd_y" kk4 |4  
            'bd线段方程 ucCf%T\:  
            k_bd = bdy / bdx t}t(fJHY`  
            b_bd = p2y - k_bd * p2x %VHy?!/  
            p_x = p1x 4&)sROjV=  
            p_y = k_bd * p_x + b_bd '|yx
B')  
         Case "ac_y_bd_n" Bfb~<rs[  
            'ac线段方程  }D1x%L  
            k_ac = acy / acx 6)[moR{N1  
            b_ac = p1y - k_ac * p1x %G?@H
ye3  
            p_x = p2x j?T'N:Qd  
            p_y = k_ac * p_x + b_ac f-U zFlU  
        Case "ac_y_bd_y" srS!X$cec  
           'ac，bd线段都要求 t~2oEwTm  
           k_ac = acy / acx uHbg&eW  
           b_ac = p1y - k_ac * p1x jCd]ENl+_  
           k_bd = bdy / bdx H4M=&"ll}  
           b_bd = p2y - k_bd * p2x Bc>j5^)8w  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) Y;w|Fvjj+  
           p_y = k_ac * p_x + b_ac kUBE+a6#  
        End Select l5z//E}W  
      rt(1) = p_x RhYe=Qh4{p  
      rt(2) = p_y vG|!d+  
     GrF4*I`q  
'计算最大半径 Y1r$;;sH  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) fy+5i^{=  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 
b42%^E  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 18$d-[hX  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) (g6e5Sgi>  
Dim bb(5) As Single lKbWQ>  
  bb(1) = rr1 VuLb9Kn  
  bb(2) = rr2 QO@86{u#Y  
  bb(3) = rr3 rfV'EjiM}  
  bb(4) = rr4 7cc^
n\c?Y  
  nb = rr1 (Cr  
For i = 1 To 4 YNr5*P1  
    If nb <= bb(i) Then @&T' h}|:  
       nb = bb(i) wd:Yy  
    End If nDi^s{  
Next i zC50 @S3|  
    rt(0) = Sqr(nb) , ['}9:f9  
    rr = rt() hcVu`Bn  
  End If 2V~E <K-  
         fY]"_P  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  +a39 !j 1_  

u7mPp3ZYK  
有热压工艺方面的人才或者资料分享下； J4ZHE\  
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 \v&zsv\B@  

高手真多！

楼主威武霸气.