[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： G6eC.vU]j  
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关键点说几个： {|xwvTlJ  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） Q'+N72=  
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 MmWJYF=  
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 BQS9q'u_  

以下是几个重要的函数： :LBe{Jbw  
1.判断点在区域中函数 o@>c[knJ  
2.计算夹角函数 ($S{td;  
3.转置函数 : l>Ue&  
4.得到区域中心点，及区域半径函数 (v4  
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） H;sQ]:.*]  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 /hX"O?^  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 44W3U~1  
   cax = x2 - x1 4*+EUJ|  
   cay = y2 - y1  ,g,jY]o  
   cbx = x2 - x3 :>X7(&j8  
   cby = y2 - y3 k( g$_ ]X  
   mo_jj = cax * cbx + cay * cby _"sRL}-Z  
   mo_ca = Sqr(cax * cax + cay * cay) MtYP3:  
   mo_cb = Sqr(cbx * cbx + cby * cby) nUd\4;J#  
   cos_acb = mo_jj / (mo_ca * mo_cb) sd[QtK^  
   'ff_cos = cos_acb )2FO+_K?T  
   If cos_acb >= 1 Then Dz50,*}J  
   nn = 0 gNqV>p  
   ElseIf cos_acb <= -1 Then zJnVO$A'  
   nn = 3.14159265258979 0wkLM-lN  
   Else ^ Wl/  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) b;t]k9:"L  
   End If lXPn]iLJ  
   'ff_angle = nn Yjl0Pz.q  
   ff_angle = nn * 180 / 3.14159265258979 `{wku@  
End Function

'判断点在区域内函数 9(l'xuX  
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 AY;+Ws  
Dim aob, boc, cod, doa, sum As Single &JlR70gdHi  
  If ppx = p1x And ppy = p1y Then |d5L Ifb(  
     point_in = True (7b_g6>:  
     Exit Function 3kQ^f=Wd  
  End If e1loI8  
  If ppx = p2x And ppy = p2y Then Dq?HUb^X  
     point_in = True 0X?fDz}jd  
     Exit Function I.u,f:Fl'  
  End If YgiGI <U  
   If ppx = p3x And ppy = p3y Then Z]S0AB.Z@  
     point_in = True _cw^5  
     Exit Function "J5Pwvs-  
  End If nTU~M~gky  
     | q16%6q  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) #(IMRdUf  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) N ]7a=  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) }AiS83B  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) [U(&Ae0V>  
    sum = aob + boc + cod + doa w)eQ'6Vu  
    If 360.01 > sum And sum > 359.99 Then 9`v:$(I  
       point_in = True (A'q@-XQ  
    Else {@ y,  
       point_in = False qX'a&~s)n  
    End If k6-n.Rl01  
End Function

'得到点半径,得到交点坐标函数 }PIB b  
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() W:poUG1UR  
    '求得中心点坐标 d+2O^of:T  
Dim tt As String |J Q:.h  
Dim rt(3) As Single A4Q)YY9~  
    '判断是否平行 !en F8a  
   acx = p3x - p1x %H}Y]D~R  
   acy = p3y - p1y e~s7ggg2k  
   bdx = p4x - p2x n{Qh8"  
   bdy = p4y - p2y ,L{o,qzC  
   If acx * bdy = acy * bdx Then w52HN;Jm  
      rt(0) = 0 y]YS2^  
      Exit Function ;]ShC\1  
   Else )4)iANH?  
      '判断斜率存在否 N"x\YHp  
      If p1x = p3x And p2x <> p4x Then FJ%R3N\  
         tt = "ac_n_bd_y" lcT+$4zk.  
      ElseIf p1x <> p3x And p2x = p4x Then ROt0<^<  
         tt = "ac_y_bd_n" .-u
k
  
      ElseIf p1x <> p3x And p2x <> p4x Then _{`'{u  
         tt = "ac_y_bd_y" Y
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      End If mERZ_[a2  
    Select Case tt ):
fu  
         Case "ac_n_bd_y" ~sHZh  
            'bd线段方程 "">fn(  
            k_bd = bdy / bdx CAFE}
|  
            b_bd = p2y - k_bd * p2x BdoC6H  
            p_x = p1x T3t~=b>&L  
            p_y = k_bd * p_x + b_bd LB*#  
         Case "ac_y_bd_n" /yw\(|T  
            'ac线段方程 t6%xit+  
            k_ac = acy / acx aBVEk2 p  
            b_ac = p1y - k_ac * p1x C|d!'"p  
            p_x = p2x tD~PvUJ  
            p_y = k_ac * p_x + b_ac svq9@!go  
        Case "ac_y_bd_y" d[RWkk5  
           'ac，bd线段都要求 >,"D9!  
           k_ac = acy / acx R3{*v =ov  
           b_ac = p1y - k_ac * p1x 9{UP)17  
           k_bd = bdy / bdx 'q};L6  
           b_bd = p2y - k_bd * p2x X|1_0  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) H8<7#
 
           p_y = k_ac * p_x + b_ac Fy_<Ui  
        End Select f0mH|tI`  
      rt(1) = p_x kk/+Vx~  
      rt(2) = p_y \;B$hT7z*  
     q:-]d0B+  
'计算最大半径 B
su=^z  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) V
:(w\'wm  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 1Oca@E\Z.  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) D#/%*|  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) f.$aFOn  
Dim bb(5) As Single c6Yf"~TD0  
  bb(1) = rr1 =8$0
$d  
  bb(2) = rr2 Ql: b1C,  
  bb(3) = rr3 RlslF9f  
  bb(4) = rr4 {Ukc D+.Y  
  nb = rr1 K?FX<PT  
For i = 1 To 4 Qw6KX#n  
    If nb <= bb(i) Then 94h_t@Q/1  
       nb = bb(i) YM`:L  
    End If ph8Jn
+|E  
Next i hP4)8>  
    rt(0) = Sqr(nb) (ifqwl62  
    rr = rt() TJyH/C  
  End If ET,0ux9F  
         ! =\DC,-CB  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  <Vz<{W3t  

hnp`s%e,  
有热压工艺方面的人才或者资料分享下； 5h_<R!jA  
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 $7Jfb<y  

高手真多！

楼主威武霸气.