[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： @et3}-c  
2={K-s20  

描述:请输入描述

图片:2.jpg

).O\O)K  

关键点说几个： LRLhS<9  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） t'_,9  
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 )H=[NB6J8  
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 B@~eBU,$  

以下是几个重要的函数： V'BZ=.=  
1.判断点在区域中函数 XP Iu]F  
2.计算夹角函数 2 3XAkpzp$  
3.转置函数 3dzqVaV  
4.得到区域中心点，及区域半径函数 5eZg+ O  
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） 2%No>w}/2  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 C Wl95g  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single -<HvhW  
   cax = x2 - x1 :?of./Df|  
   cay = y2 - y1 nQ(:7PFa'  
   cbx = x2 - x3 JqV<A3i  
   cby = y2 - y3 l8 2uK"M  
   mo_jj = cax * cbx + cay * cby V%KW[v<G<  
   mo_ca = Sqr(cax * cax + cay * cay) a(t<eN>b!  
   mo_cb = Sqr(cbx * cbx + cby * cby) DD{@lM\vc  
   cos_acb = mo_jj / (mo_ca * mo_cb) 1:l&&/Wy  
   'ff_cos = cos_acb ]Pl6:FB8%@  
   If cos_acb >= 1 Then 6"c!tJc7j  
   nn = 0 'rx,f  
   ElseIf cos_acb <= -1 Then }n&JZ`8<s  
   nn = 3.14159265258979 >j
~70
?  
   Else 'H-YFB$l  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ba:du |Ec  
   End If |\L,r}1N  
   'ff_angle = nn q8yJW-GA   
   ff_angle = nn * 180 / 3.14159265258979 |Btx&'m  
End Function

'判断点在区域内函数 U=?"j-wN  
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 @^jLYu|W  
Dim aob, boc, cod, doa, sum As Single ?fX8WRdh  
  If ppx = p1x And ppy = p1y Then !(AFT!  
     point_in = True qk{UO <  
     Exit Function `pS)qx.a  
  End If ^RDXX+  
  If ppx = p2x And ppy = p2y Then Kpbber  
     point_in = True P\4o4MF@K  
     Exit Function \$Qm2XKrK  
  End If c15^<6]g  
   If ppx = p3x And ppy = p3y Then &WV 9%fI  
     point_in = True i'LTKj  
     Exit Function +}Wo=R
}  
  End If FQ ^^6Rl  
     
u5|e9(J  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) ?mUu(D:7D  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) ZpBH;{.,  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 6_ 0w>  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) b4OR`dd*J  
    sum = aob + boc + cod + doa . zMM86c  
    If 360.01 > sum And sum > 359.99 Then q`K-T_<  
       point_in = True VNot4 62L  
    Else H%gD[!^  
       point_in = False xR%a
yT.  
    End If hWe}(Ks  
End Function

'得到点半径,得到交点坐标函数 U2?gODh'  
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() ZKL%rp_  
    '求得中心点坐标 [\F,\  
Dim tt As String *<j@+Ch  
Dim rt(3) As Single a[rUU'8  
    '判断是否平行 $yK!Q)e:  
   acx = p3x - p1x mR@X
t#  
   acy = p3y - p1y ><7`$2Or  
   bdx = p4x - p2x SX,zJ`"  
   bdy = p4y - p2y @zq{#7%z  
   If acx * bdy = acy * bdx Then &4
FdA|9T  
      rt(0) = 0 c'qM$KN9G  
      Exit Function tAi9mm;k  
   Else {G&g+9c&  
      '判断斜率存在否 iROM?/$  
      If p1x = p3x And p2x <> p4x Then dG$0d_Pq  
         tt = "ac_n_bd_y" _q$fw&  
      ElseIf p1x <> p3x And p2x = p4x Then C(Y6t1  
         tt = "ac_y_bd_n" :.Sc[UI0  
      ElseIf p1x <> p3x And p2x <> p4x Then PyF4uCn"H  
         tt = "ac_y_bd_y" $O-, :<HY  
      End If K),wAZI!7j  
    Select Case tt rT)R*3  
         Case "ac_n_bd_y" ]~ M -KT  
            'bd线段方程 .).<L`q  
            k_bd = bdy / bdx 0E[Se|!  
            b_bd = p2y - k_bd * p2x qm8
RRDG  
            p_x = p1x ~.PYS!" +  
            p_y = k_bd * p_x + b_bd Q1[s{,  
         Case "ac_y_bd_n" 1ouTZ'c?  
            'ac线段方程 Q(3x
"+  
            k_ac = acy / acx {r8CzJ'f  
            b_ac = p1y - k_ac * p1x es]m 6A  
            p_x = p2x &O)mPnx`  
            p_y = k_ac * p_x + b_ac .D`#a  
        Case "ac_y_bd_y" 0^z$COCv  
           'ac，bd线段都要求 6iWuBsal  
           k_ac = acy / acx t_Wn<)XA  
           b_ac = p1y - k_ac * p1x dp+Y?ufr  
           k_bd = bdy / bdx mio'm  
           b_bd = p2y - k_bd * p2x 7:%K-LeaQu  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) e>)5j1  
           p_y = k_ac * p_x + b_ac T5;D0tM/  
        End Select I,;)pWX=@  
      rt(1) = p_x kv b-=  
      rt(2) = p_y |VL,\&7rk  
     _C\b,D}p  
'计算最大半径 }tPl?P'`  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) ](D [T  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) Yw<:I&  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) b1cd5  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ^B9wmxe  
Dim bb(5) As Single |M_Bbo@ud  
  bb(1) = rr1 ENzeVtw0  
  bb(2) = rr2 .Dmvgi]  
  bb(3) = rr3 3R><AFMY?  
  bb(4) = rr4 jGCW^#GE  
  nb = rr1 IM/\t!*7  
For i = 1 To 4 =I1@O9}+i  
    If nb <= bb(i) Then H<yec"  
       nb = bb(i) Z5=!R$4  
    End If Dr:}k*  
Next i !@X#{  
    rt(0) = Sqr(nb) 0l6%[U?o  
    rr = rt() `h'^S,'*  
  End If HPQ,tlp6j  
         _p.{|7  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ft7wMi  

^c5(MR7LD  
有热压工艺方面的人才或者资料分享下； DXUI/C f  
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 !qR(Rn  

高手真多！

楼主威武霸气.