[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： B2WX#/lgd  
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图片:2.jpg

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关键点说几个： v("vUqhx2+  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 0j MI)aY.  
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 wh+ibH}@!  
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 IOqyqt'  

以下是几个重要的函数： 7gaC)j&  
1.判断点在区域中函数 E|3aiC,5  
2.计算夹角函数 !Sh5o'D28  
3.转置函数 [_1G\z_iE  
4.得到区域中心点，及区域半径函数 dL)5~V8s  
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） 2F7R,rr  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 q[K)bg{HB  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single M -TK  
   cax = x2 - x1 hp}8 3.oA  
   cay = y2 - y1 )dcGV$4t[  
   cbx = x2 - x3 5]JXXdt  
   cby = y2 - y3 *CSFkWVa  
   mo_jj = cax * cbx + cay * cby rE~O}2a#H  
   mo_ca = Sqr(cax * cax + cay * cay) (qdk &  
   mo_cb = Sqr(cbx * cbx + cby * cby) \v Go5`  
   cos_acb = mo_jj / (mo_ca * mo_cb) 5S bSz!s`$  
   'ff_cos = cos_acb i.&16AY  
   If cos_acb >= 1 Then E;0"1 P|S  
   nn = 0 C?k4<B7V  
   ElseIf cos_acb <= -1 Then c7_b^7h1  
   nn = 3.14159265258979 uRg^:  
   Else <o}t-Bgg  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) zV#k #/$  
   End If }e)l
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   'ff_angle = nn u"ow?[E  
   ff_angle = nn * 180 / 3.14159265258979 Dl6zl6q?  
End Function

'判断点在区域内函数 ~ nIZg5  
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 zi'?FM[f)  
Dim aob, boc, cod, doa, sum As Single Gf>T{Q`,is  
  If ppx = p1x And ppy = p1y Then mc$dR, H0  
     point_in = True &Jz%L^  
     Exit Function r&w>+KIt  
  End If DpAuI w7|  
  If ppx = p2x And ppy = p2y Then %* 8QLI  
     point_in = True #PGExN3e  
     Exit Function .KV?;{~q@  
  End If <JlKtR&nSo  
   If ppx = p3x And ppy = p3y Then X$<?:f-  
     point_in = True }v{F9dv  
     Exit Function <GC:aG  
  End If (1R,  
     zKZ6Qjd8!  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) WA+v&*]  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) (fl2?d5+C  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) g6S8@b))|  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Wo%&,>]<H  
    sum = aob + boc + cod + doa Ty5\zxC|  
    If 360.01 > sum And sum > 359.99 Then /<5/gV 1Q  
       point_in = True u
AJC Q)@  
    Else h&XyMm9C  
       point_in = False H$ v4N8D8I  
    End If !&X}?NK  
End Function

'得到点半径,得到交点坐标函数 [KJm&\evp  
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() Z#0z#M`  
    '求得中心点坐标 Z)HQlm  
Dim tt As String }[1I_)  
Dim rt(3) As Single 3Z`oI#-x  
    '判断是否平行 #fwG~Q(  
   acx = p3x - p1x yjr!8L:m  
   acy = p3y - p1y L3&NGcd  
   bdx = p4x - p2x ^LZU><{';  
   bdy = p4y - p2y he/FtkU  
   If acx * bdy = acy * bdx Then {8E hC/=  
      rt(0) = 0 Ly3^zFW  
      Exit Function 7;Wj^#  
   Else 1w35H9\g  
      '判断斜率存在否 Ek84yme#  
      If p1x = p3x And p2x <> p4x Then Y40{v(Pi  
         tt = "ac_n_bd_y" P /Js!e<\  
      ElseIf p1x <> p3x And p2x = p4x Then G.9?ApG9  
         tt = "ac_y_bd_n" .L8S_Mz  
      ElseIf p1x <> p3x And p2x <> p4x Then {&3n{XrF(  
         tt = "ac_y_bd_y" DBO
z<|  
      End If 1Azigd0%  
    Select Case tt *.20YruU;j  
         Case "ac_n_bd_y" ]NN9FM.2b/  
            'bd线段方程 7D4P=$UJp  
            k_bd = bdy / bdx #Ez>]`]TB  
            b_bd = p2y - k_bd * p2x FFPO?y$  
            p_x = p1x kz+P?mopm  
            p_y = k_bd * p_x + b_bd '9-8_;  
         Case "ac_y_bd_n" .HMO7n6)8l  
            'ac线段方程 =6/0=a[  
            k_ac = acy / acx i_V~SC`  
            b_ac = p1y - k_ac * p1x <s  $~h  
            p_x = p2x 2rne=L  
            p_y = k_ac * p_x + b_ac )Nk^;
[  
        Case "ac_y_bd_y" z!eY=G'  
           'ac，bd线段都要求 0F)Y[{h<  
           k_ac = acy / acx 'Exj|Y&  
           b_ac = p1y - k_ac * p1x Q[S""P.Z|  
           k_bd = bdy / bdx 1S<V,9(  
           b_bd = p2y - k_bd * p2x 8hGp?Ihu  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) J v'$6[?  
           p_y = k_ac * p_x + b_ac $TWt
[  
        End Select F.K7w  
      rt(1) = p_x 1)vdM(y3j  
      rt(2) = p_y kpcIU7|e  
     R
m{S,  
'计算最大半径 N^B YNqr  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 90&ld:97  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) g6+}'MN:5  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 8I3"68c_a  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) j$a,93P5  
Dim bb(5) As Single B$sB1M0q  
  bb(1) = rr1 d0eMDIm3R\  
  bb(2) = rr2 6;k#|-GU&  
  bb(3) = rr3 0 @~[SXR  
  bb(4) = rr4 Y;4nIWe JL  
  nb = rr1 x)h5W+$  
For i = 1 To 4 `A])4q$  
    If nb <= bb(i) Then 8" XbW7^o  
       nb = bb(i) #toKT_  
    End If 6MqJy6  
Next i Y&'Bl$`  
    rt(0) = Sqr(nb) Oe5=2~4O  
    rr = rt() a=T_I1  
  End If wz<
YflF  
         ]z;%%'gW6  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  7/%{7q3G>  

qP@d)XRQ  
有热压工艺方面的人才或者资料分享下； 6Tjj++b(*  
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 uSh!A  

高手真多！

楼主威武霸气.