[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： :+v4,=fHy  
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图片:2.jpg

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关键点说几个： ^o[(F<q  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） [g@.dr3t  
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 J8@7 5p9  
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 ?1]h5Uh[b  

以下是几个重要的函数： ~?:Xi_3Lo
 
1.判断点在区域中函数 dRXdV7-!  
2.计算夹角函数 otJHcGv  
3.转置函数 Rqun}v}  
4.得到区域中心点，及区域半径函数 B0ZLGB  
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） C''[[sw'K  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 H JjW  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single <j^"=UN4#  
   cax = x2 - x1 h2mU  
   cay = y2 - y1 r]O8|#P,Z$  
   cbx = x2 - x3 J7$JW3O  
   cby = y2 - y3 XV0t 8#T2  
   mo_jj = cax * cbx + cay * cby 'sN (=CQ  
   mo_ca = Sqr(cax * cax + cay * cay) -LMO f?  
   mo_cb = Sqr(cbx * cbx + cby * cby) Yc~c(1VRz  
   cos_acb = mo_jj / (mo_ca * mo_cb) (#VF>;;L  
   'ff_cos = cos_acb -%g{{'9B  
   If cos_acb >= 1 Then 82~ZPZG  
   nn = 0 m;m4/z3U  
   ElseIf cos_acb <= -1 Then Y)9]I6n7  
   nn = 3.14159265258979 `yWWX.`  
   Else bcE%EQ  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) z9P;HGuZ  
   End If
DX4"}w  
   'ff_angle = nn XjV,wsZ=  
   ff_angle = nn * 180 / 3.14159265258979 zoO9N oUHW  
End Function

'判断点在区域内函数 Tq=OYJq5U  
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 o 2sOf  
Dim aob, boc, cod, doa, sum As Single R'{BkC}.  
  If ppx = p1x And ppy = p1y Then *Zi:^<hv  
     point_in = True _b1w<T `  
     Exit Function 4?F7%^vr  
  End If F3V_rE<  
  If ppx = p2x And ppy = p2y Then .j_YVYu1&  
     point_in = True U,)@+?U+h  
     Exit Function < &~KYu\r  
  End If [MVG\6Up(  
   If ppx = p3x And ppy = p3y Then I%fz^:[#<  
     point_in = True ;~5w`F)  
     Exit Function ^qD@qJ  
  End If 7Yrp#u1!  
     3gzcpFNqX  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) d)X6x-(  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) p 6FPdt)  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) TWFi.w4pY  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) ;p}X]e l}  
    sum = aob + boc + cod + doa L?gak@E  
    If 360.01 > sum And sum > 359.99 Then hWqI*xSaJ  
       point_in = True =2yg:D  
    Else A(
>kp=~  
       point_in = False PgYq=|]`  
    End If 8!uqR!M<C  
End Function

'得到点半径,得到交点坐标函数 kTLA["<m  
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() 8O5@FU 3  
    '求得中心点坐标 j4B|ktf  
Dim tt As String xe
3t_y  
Dim rt(3) As Single 0$9I.%4jAJ  
    '判断是否平行 /:j9#kj  
   acx = p3x - p1x pWwB<F  
   acy = p3y - p1y @9!,]
n  
   bdx = p4x - p2x ped3}i+|]  
   bdy = p4y - p2y 8I'Am"bc\  
   If acx * bdy = acy * bdx Then 75pz' Cb  
      rt(0) = 0 *?#t (Y[  
      Exit Function ]k(n_+!  
   Else A%G \ AT  
      '判断斜率存在否 *\i<+~I@
l  
      If p1x = p3x And p2x <> p4x Then _\P9~w `  
         tt = "ac_n_bd_y" /{~cUB,Um  
      ElseIf p1x <> p3x And p2x = p4x Then \5wC&|WEB  
         tt = "ac_y_bd_n" ;-koMD!2F  
      ElseIf p1x <> p3x And p2x <> p4x Then u$ZahN!  
         tt = "ac_y_bd_y" <A,G:&d~  
      End If f V|Zh  
    Select Case tt AF qut  
         Case "ac_n_bd_y" Ti@X<C  
            'bd线段方程 \gE3wmSJ,  
            k_bd = bdy / bdx I+Q`i:\,q  
            b_bd = p2y - k_bd * p2x m_7)r  
            p_x = p1x +P~E54  
            p_y = k_bd * p_x + b_bd U-$ B"w&  
         Case "ac_y_bd_n" %DQ.f*%  
            'ac线段方程 GMZj@q  
            k_ac = acy / acx h%Nbx:vKk  
            b_ac = p1y - k_ac * p1x Bpjw
c<U  
            p_x = p2x 9xvE?8;M#  
            p_y = k_ac * p_x + b_ac #0HF7C3  
        Case "ac_y_bd_y" 3huTT"G  
           'ac，bd线段都要求 A|BvRZd  
           k_ac = acy / acx J!QzF)$4J  
           b_ac = p1y - k_ac * p1x 
(BgO<  
           k_bd = bdy / bdx wNuS'P_(:T  
           b_bd = p2y - k_bd * p2x !Z7 ~Rsdm  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) a/.O,&3  
           p_y = k_ac * p_x + b_ac ms8PFu(f  
        End Select NC 0H5  
      rt(1) = p_x 4:=eO!6  
      rt(2) = p_y >Hr0ScmN@"  
     }{^i*T5rl  
'计算最大半径 [`^x;*C  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) $V"~\h8  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) =W9;rQm  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) :;u~M(R  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) R{r0dK"_  
Dim bb(5) As Single 2'"$Y'  
  bb(1) = rr1 t/,k{5lX  
  bb(2) = rr2 )T6+}   
  bb(3) = rr3 JF>mybB  
  bb(4) = rr4 =;{v
fjj  
  nb = rr1 -v9V/LJ  
For i = 1 To 4 LB1.N!q1  
    If nb <= bb(i) Then H~c+L'=  
       nb = bb(i) (U/xpj}  
    End If lqOv_q  
Next i PX](hc=  
    rt(0) = Sqr(nb) vm+EzmO,!  
    rr = rt() Aa&3x~3+  
  End If G}<q  
         %D z|p]49!  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  \8Fe56  

N+!{Bt*  
有热压工艺方面的人才或者资料分享下； )e9(&y*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 |,t#Au}61  

高手真多！

楼主威武霸气.