[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： OC$Y8Ofr  
6R%Ra  
o1j_5c PS  

关键点说几个： lKo07s
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1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） jG"n);WF  
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 481SDG[b  
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 :G/T{87H  

以下是几个重要的函数： Nwu,:}T  
1.判断点在区域中函数 c2aX_ "  
2.计算夹角函数 6Z:<?_p%7g  
3.转置函数 lkNaSz[  
4.得到区域中心点，及区域半径函数 oe<9CK:?>  
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） [89qg+z  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 W,<P])  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single h,-8( S  
   cax = x2 - x1 \ /(;LHWQ  
   cay = y2 - y1 OR4ZjogzY  
   cbx = x2 - x3 yi7m!+D3  
   cby = y2 - y3 VqzcTr]_  
   mo_jj = cax * cbx + cay * cby N# o" W  
   mo_ca = Sqr(cax * cax + cay * cay) 1Ner1EKGp  
   mo_cb = Sqr(cbx * cbx + cby * cby) `Zn2Vx  
   cos_acb = mo_jj / (mo_ca * mo_cb) Q~R7]AyR  
   'ff_cos = cos_acb 5^"T`,${  
   If cos_acb >= 1 Then 6\MH2&L<  
   nn = 0 jSLNQ  
   ElseIf cos_acb <= -1 Then |P{K\;-  
   nn = 3.14159265258979 ~&>|u5C*@  
   Else f9A^0A?
c  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 9,h'cf`F  
   End If yH\z+A|  
   'ff_angle = nn OGgP
~hd  
   ff_angle = nn * 180 / 3.14159265258979 QLx]%
E\  
End Function

'判断点在区域内函数 y:TLGQ0  
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 'g<0MOq{  
Dim aob, boc, cod, doa, sum As Single obUX7N  
  If ppx = p1x And ppy = p1y Then B^W0Ik`m  
     point_in = True 9(.P2yO  
     Exit Function < * )u\A  
  End If &|t*9D  
  If ppx = p2x And ppy = p2y Then -p|@Enn  
     point_in = True l56D?E8  
     Exit Function 9UD~$_<\  
  End If -]1
F]d
 
   If ppx = p3x And ppy = p3y Then ?eUhHKS5  
     point_in = True ~(2G7x)  
     Exit Function 2jQ|4$9j  
  End If *,w9#?2x  
     /IDfGAE  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) J%ym1A9  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) k_)H$*  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ;x.xj/7  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) HtWuZq;w  
    sum = aob + boc + cod + doa (h
NSzG\  
    If 360.01 > sum And sum > 359.99 Then q4)8]Y2  
       point_in = True y993uP   
    Else a~b^`ykcWP  
       point_in = False 6 /T_+K.k  
    End If ocwh*t)<k  
End Function

'得到点半径,得到交点坐标函数 <&3qFK*9r  
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() (;^VdiJ  
    '求得中心点坐标 _9!_fIY  
Dim tt As String *c}MI e'&  
Dim rt(3) As Single p"Ki$.Y  
    '判断是否平行 g0@i[&A@{  
   acx = p3x - p1x K-VNU  
   acy = p3y - p1y wpw~[xd  
   bdx = p4x - p2x }a= &o6=  
   bdy = p4y - p2y mZ9+.lm  
   If acx * bdy = acy * bdx Then ]m0MbA  
      rt(0) = 0 ]<D9Q>  
      Exit Function 9)={p9FZY  
   Else 't3/< h<  
      '判断斜率存在否 Ql-RbM  
      If p1x = p3x And p2x <> p4x Then D0(QZrVa  
         tt = "ac_n_bd_y" so h3d  
      ElseIf p1x <> p3x And p2x = p4x Then .Y.\D\>
~  
         tt = "ac_y_bd_n" Jt6~L5[_s  
      ElseIf p1x <> p3x And p2x <> p4x Then (r_xs  
         tt = "ac_y_bd_y" MrIo.  
      End If e6{}hiM  
    Select Case tt F5Tah{  
         Case "ac_n_bd_y" z@hlN3dg  
            'bd线段方程 "i$Avm  
            k_bd = bdy / bdx CA[-\>J7y  
            b_bd = p2y - k_bd * p2x :5?g<@  
            p_x = p1x vluA46c  
            p_y = k_bd * p_x + b_bd n m4+$GW  
         Case "ac_y_bd_n" D6!`p6r+  
            'ac线段方程 [4,=%ez  
            k_ac = acy / acx eaQ)r?M  
            b_ac = p1y - k_ac * p1x @$ E&H`da  
            p_x = p2x <_&H<]t%rI  
            p_y = k_ac * p_x + b_ac  ajF-T=5  
        Case "ac_y_bd_y" 3QSP](W-(  
           'ac，bd线段都要求 |}paa  
           k_ac = acy / acx :AYp{"{  
           b_ac = p1y - k_ac * p1x +o)o4l%3  
           k_bd = bdy / bdx \gferWm  
           b_bd = p2y - k_bd * p2x -E1b5i;f  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) !K;\{/8  
           p_y = k_ac * p_x + b_ac %<%ef+*  
        End Select j`1%a]Bwc  
      rt(1) = p_x xMI4*4y(  
      rt(2) = p_y @]u nqCO  
     qn}w]yGW  
'计算最大半径 p(/PG+  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) D2
x-Wa  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) Q/rOIHiI  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y)  ~0 <?^  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) iTi]D2jC  
Dim bb(5) As Single FCxLL"))  
  bb(1) = rr1 C5;=!B  
  bb(2) = rr2 !MoJb#B3^]  
  bb(3) = rr3 E!;giPq*n  
  bb(4) = rr4 zg,
?aAm  
  nb = rr1 1wpT"5B  
For i = 1 To 4 ,Z*Fo: q  
    If nb <= bb(i) Then /I|.^ Id|  
       nb = bb(i) -d?9Acd  
    End If o9-b!I2  
Next i ?2
l#=t?PP  
    rt(0) = Sqr(nb) *Q=ER  
    rr = rt() wzhM/Lmo\z  
  End If q6'3-@%  
         }MAvEaUd  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  Ep-{Ew{T_=  

.&d]7@!qy  
有热压工艺方面的人才或者资料分享下； %jEdgD%xV  
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 S^|Uzc  

高手真多！

楼主威武霸气.