[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： ,3k"J4|d  
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关键点说几个： &v+8RY^F=  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） eKlh }v  
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 =N,Mmz%  
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
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以下是几个重要的函数： Qo{Ez^q@J  
1.判断点在区域中函数 3tMFJ ;*`  
2.计算夹角函数 F/[vg  
3.转置函数 7p&%0'BO1z  
4.得到区域中心点，及区域半径函数 " 1YARGu  
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） RsS?ibozl  
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{3 B  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single le%_[/_I|  
   cax = x2 - x1 N=&~3k  
   cay = y2 - y1 -.:[a3c?  
   cbx = x2 - x3 O0#wM-M  
   cby = y2 - y3 QfJ?'*  
   mo_jj = cax * cbx + cay * cby [G^ir  
   mo_ca = Sqr(cax * cax + cay * cay) m]J
Z@  
   mo_cb = Sqr(cbx * cbx + cby * cby) D^To:N7U  
   cos_acb = mo_jj / (mo_ca * mo_cb) KwOn<0P  
   'ff_cos = cos_acb f{[U->#^  
   If cos_acb >= 1 Then iCCY222:  
   nn = 0 ~WK>+T,%  
   ElseIf cos_acb <= -1 Then s`ly#+!.  
   nn = 3.14159265258979 Sc
;WraEn2  
   Else 2-i>ymoOS  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) s.]7c CY  
   End If 3Xa
w  
   'ff_angle = nn RuDn1h#u{  
   ff_angle = nn * 180 / 3.14159265258979 LD5n_W  
End Function

'判断点在区域内函数 7f_4qb8  
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 $QmP' <  
Dim aob, boc, cod, doa, sum As Single :^FOh*H  
  If ppx = p1x And ppy = p1y Then ipnvw4+  
     point_in = True -Y
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     Exit Function O.CRF-`t  
  End If Ia$&SS)K  
  If ppx = p2x And ppy = p2y Then KHKf+^uu  
     point_in = True Z3Os9X9p  
     Exit Function 8SK}#44Xz  
  End If O`U&0lKi'  
   If ppx = p3x And ppy = p3y Then @47MJzC  
     point_in = True x F7C1g(  
     Exit Function 9'C k
V[  
  End If 72@raA#
y  
     ~aa`Y0Ws],  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) LJDX6]4n  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) rVq=,>M9  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) w<-8cvNhiz  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 1iEZ9J?  
    sum = aob + boc + cod + doa C"_f3[Z  
    If 360.01 > sum And sum > 359.99 Then tpj({   
       point_in = True $w`QQ^\  
    Else S',i  
       point_in = False S/v+7oT  
    End If 7$x~}*u  
End Function

'得到点半径,得到交点坐标函数 `W< 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() |^Nz/PN  
    '求得中心点坐标 tmiRv.Mhn<  
Dim tt As String $>1 'pV  
Dim rt(3) As Single p*)R

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    '判断是否平行 ]YYjXg}%  
   acx = p3x - p1x )[Bwr bn  
   acy = p3y - p1y oB;EP  
   bdx = p4x - p2x betN-n-  
   bdy = p4y - p2y (qT_4b~  
   If acx * bdy = acy * bdx Then Yf >SV #  
      rt(0) = 0 j|!.K|9B  
      Exit Function 2GQq(_  
   Else b;K>Q!(|  
      '判断斜率存在否 j$<uE{c  
      If p1x = p3x And p2x <> p4x Then 68?oV)fE  
         tt = "ac_n_bd_y" PI
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      ElseIf p1x <> p3x And p2x = p4x Then 7q?u`3l  
         tt = "ac_y_bd_n" zlzr;7m  
      ElseIf p1x <> p3x And p2x <> p4x Then J&%vBg^  
         tt = "ac_y_bd_y" C-4NiXa  
      End If BUB#\v#a  
    Select Case tt c0jdZ#H  
         Case "ac_n_bd_y" xevG)m  
            'bd线段方程 -Qx:-,.a  
            k_bd = bdy / bdx j|gv0SI_ w  
            b_bd = p2y - k_bd * p2x }r^@Xh  
            p_x = p1x
'bp*hqG[  
            p_y = k_bd * p_x + b_bd ! )$ PD@  
         Case "ac_y_bd_n" y]QG;  
            'ac线段方程 Y,K): ~T  
            k_ac = acy / acx gv$6\1  
            b_ac = p1y - k_ac * p1x o8\@R  
            p_x = p2x 6+"P$Ed#i  
            p_y = k_ac * p_x + b_ac ZK<kn8JJ  
        Case "ac_y_bd_y" G%~=hEK0  
           'ac，bd线段都要求 R< @o]p  
           k_ac = acy / acx ]X~;?>#:p  
           b_ac = p1y - k_ac * p1x u38FY@U$  
           k_bd = bdy / bdx J,;[n*s  
           b_bd = p2y - k_bd * p2x qp (ng8%c  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) QA7SQcd,  
           p_y = k_ac * p_x + b_ac <cG .V|B  
        End Select SvC|"-[mJ  
      rt(1) = p_x 33x3zEUt6  
      rt(2) = p_y Kd^{~Wlz&z  
      b<v\  
'计算最大半径 7cin?Z1  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) |5)~WoV/G  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) RbX!^v<0f6  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) h+F@apUS  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ;;'b;,/  
Dim bb(5) As Single :/fG %e  
  bb(1) = rr1 8;9GM^L  
  bb(2) = rr2 7onMKMktM%  
  bb(3) = rr3 rm2"pfs  
  bb(4) = rr4 O @fX +W?U  
  nb = rr1 _l]`Og@Y  
For i = 1 To 4 YAnt}]u!"  
    If nb <= bb(i) Then L(Q v78F  
       nb = bb(i) ]4SnOSV?S  
    End If p'1n'|$e  
Next i -'+|r]  
    rt(0) = Sqr(nb) ])h={gI  
    rr = rt() UI|L;5  
  End If +aRjJ/*  
         *FDz20S  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  y% uUA]c*m  

X;sl?8HG!<  
有热压工艺方面的人才或者资料分享下； ih2H~c>O  
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 n?@3R#4D3  

高手真多！

楼主威武霸气.