[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： ~=,|dGAa$  
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描述:请输入描述

图片:2.jpg

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关键点说几个： q
b ^4G  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） $2^V#GWo  
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 @Ey(0BxNu  
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 ~`MGXd"o  

以下是几个重要的函数： HF5aU:M  
1.判断点在区域中函数 ^$_a_ft#  
2.计算夹角函数 m7e$Z  
3.转置函数 slHlfWHq  
4.得到区域中心点，及区域半径函数 ^#S  
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） KL0u:I(lWU  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 {*t'h?b  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 8o4<F%ot  
   cax = x2 - x1 /n?5J`6  
   cay = y2 - y1 \(Zdd \,  
   cbx = x2 - x3 jfqWcX.X=  
   cby = y2 - y3 Lvv`
_  
   mo_jj = cax * cbx + cay * cby G~a/g6M4  
   mo_ca = Sqr(cax * cax + cay * cay) U`:#+8h-}  
   mo_cb = Sqr(cbx * cbx + cby * cby) %r6~5_A  
   cos_acb = mo_jj / (mo_ca * mo_cb) !&E>8h  
   'ff_cos = cos_acb na $z\C\  
   If cos_acb >= 1 Then I^M3>}p  
   nn = 0 0NpxqeIDY  
   ElseIf cos_acb <= -1 Then 8DLR  
   nn = 3.14159265258979 *[W!ng  
   Else e
d4T_O;  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) cy^6g?ew  
   End If #5G!lbH  
   'ff_angle = nn X-oou'4<  
   ff_angle = nn * 180 / 3.14159265258979 T"9`[Lzva  
End Function

'判断点在区域内函数 ",&}vfD4M  
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 _k5KJKvr  
Dim aob, boc, cod, doa, sum As Single 6sQ"go$}  
  If ppx = p1x And ppy = p1y Then 7:M%w'oR  
     point_in = True v8 6ls[lzu  
     Exit Function 0lmoI4bW}s  
  End If |P5?0{  
  If ppx = p2x And ppy = p2y Then hbE;zY%hP  
     point_in = True db.iMBki  
     Exit Function 0qJ(3N  
  End If 0p Lb<&  
   If ppx = p3x And ppy = p3y Then ut-UTW  
     point_in = True "5Kx]y8  
     Exit Function Q CfA3*  
  End If 4~G9._  
     qr<5z. %  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) w?!@fu  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) +Icg;m{  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) h"wXmAf4%  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 9-bDgzk   
    sum = aob + boc + cod + doa =UTv  
    If 360.01 > sum And sum > 359.99 Then !u\X,.h  
       point_in = True !n)2HDYhx,  
    Else -I4@` V  
       point_in = False (F$q|qZ%  
    End If Eer rIV  
End Function

'得到点半径,得到交点坐标函数
ivw2EEo,  
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() v0=^Hym  
    '求得中心点坐标 JsVW:8QO~  
Dim tt As String _j<46^  
Dim rt(3) As Single ,}`II|.oB  
    '判断是否平行 "{L%5:H@  
   acx = p3x - p1x Ay2Vz>{  
   acy = p3y - p1y SaQ_%-&#p  
   bdx = p4x - p2x e[w)U{|40  
   bdy = p4y - p2y p# O%<S@?  
   If acx * bdy = acy * bdx Then H%Q@DW8~@  
      rt(0) = 0 65s|gfu/  
      Exit Function n1.]5c3p  
   Else ']A+wGR&r  
      '判断斜率存在否 0(:"q!h  
      If p1x = p3x And p2x <> p4x Then q
K
;n>BTe  
         tt = "ac_n_bd_y" '$q'Wl)  
      ElseIf p1x <> p3x And p2x = p4x Then [ o3}K  
         tt = "ac_y_bd_n" e!G I<  
      ElseIf p1x <> p3x And p2x <> p4x Then MP;7u%   
         tt = "ac_y_bd_y" QZt/Rm>W0  
      End If b!<?,S  
    Select Case tt Gzc{2"p  
         Case "ac_n_bd_y" `m@06Q  
            'bd线段方程 &hyr""NkAm  
            k_bd = bdy / bdx Aj SIM.  
            b_bd = p2y - k_bd * p2x ) dwPD  
            p_x = p1x ^e<0-uM"s  
            p_y = k_bd * p_x + b_bd Wi hQj  
         Case "ac_y_bd_n" pkjL2U:  
            'ac线段方程 l J;wl|9  
            k_ac = acy / acx qW$IpuK  
            b_ac = p1y - k_ac * p1x X.%Xi'H  
            p_x = p2x R%8nR6iG"  
            p_y = k_ac * p_x + b_ac <P(d%XEl  
        Case "ac_y_bd_y" 6=MejT  
           'ac，bd线段都要求 #@3RYx  
           k_ac = acy / acx Y>wpla[kUq  
           b_ac = p1y - k_ac * p1x cQ1oy-paD  
           k_bd = bdy / bdx :*)~nPVV  
           b_bd = p2y - k_bd * p2x leg@ia  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) g@`14U/|  
           p_y = k_ac * p_x + b_ac J0C<Qb[  
        End Select {~[H"h537t  
      rt(1) = p_x UN_lK<utF  
      rt(2) = p_y mQ('X~l  
     zPH1{|H+l  
'计算最大半径 
&5O  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) rm1R^n  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) &
gIu<*u<  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) Ej F<lw  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 4(bV#   
Dim bb(5) As Single f?2Y np=@  
  bb(1) = rr1 QKE$>G  
  bb(2) = rr2 mhnD1}9,Ih  
  bb(3) = rr3 HC?yodp^  
  bb(4) = rr4 z%`Tf&UL  
  nb = rr1 zi:GvTG  
For i = 1 To 4 }Xrs"u,  
    If nb <= bb(i) Then gTH1FR8$y  
       nb = bb(i) w4:n(.;HK  
    End If dY;^JPT  
Next i ]6pxd \Q  
    rt(0) = Sqr(nb) O->i>d  
    rr = rt() QKwWX_3%Z]  
  End If })M$#%(  
         -=Q_E^'  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  K9w24Oka  

Ho\+xX  
有热压工艺方面的人才或者资料分享下； _I$]L8hC  
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 Llk`  

高手真多！

楼主威武霸气.