[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： .QwwGm  
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图片:2.jpg

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关键点说几个： QfLDyJv`e  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） *k&yD3br-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 'o%IA)sF  
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 0RaE!4)!;  

以下是几个重要的函数： T]&% KQ  
1.判断点在区域中函数 }3G`f> s  
2.计算夹角函数 -ahSFBZlg  
3.转置函数 fSe$
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4.得到区域中心点，及区域半径函数 MMyVm"w  
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） Eb9 eEa<W  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 xY3KKje  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single [| \Z"   
   cax = x2 - x1 PL+j;V(<  
   cay = y2 - y1 Td7
f  
   cbx = x2 - x3 5xHP5+&  
   cby = y2 - y3 `s0`kp  
   mo_jj = cax * cbx + cay * cby pN-l82]'  
   mo_ca = Sqr(cax * cax + cay * cay) ; O6Ez-"  
   mo_cb = Sqr(cbx * cbx + cby * cby) yvPcD5s5  
   cos_acb = mo_jj / (mo_ca * mo_cb) 9VEx0mkdd  
   'ff_cos = cos_acb ;oej~  
   If cos_acb >= 1 Then \O*8%  
   nn = 0 {_ &*"bK  
   ElseIf cos_acb <= -1 Then D)XV{Wit  
   nn = 3.14159265258979 h($XR+!#  
   Else .7h:/d Y:  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 4Nz@s^9  
   End If ;zMZ+GZ?;+  
   'ff_angle = nn @ m' zm:  
   ff_angle = nn * 180 / 3.14159265258979 C}i1)   
End Function

'判断点在区域内函数 %K9 9_Cl3  
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 ?+Q?K30:  
Dim aob, boc, cod, doa, sum As Single E< 57d,3l  
  If ppx = p1x And ppy = p1y Then !Vtj:2PQL  
     point_in = True <)f1skJsP  
     Exit Function 3lkz:]SsE  
  End If i!|OFU6  
  If ppx = p2x And ppy = p2y Then y4jJ&  
     point_in = True DdI V~CxD  
     Exit Function DlD;rL=  
  End If g>@T5&1q*  
   If ppx = p3x And ppy = p3y Then p!b_tyJ  
     point_in = True &bIE"ZBjt  
     Exit Function |8DMj s()*  
  End If d*M:PjG@  
     T>$S&U  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) rw9m+q  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) Rxl )[\A*  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) I%8>nMTJ  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) JB}jt)ol%  
    sum = aob + boc + cod + doa []\=(Uc;  
    If 360.01 > sum And sum > 359.99 Then Vo G`@^s  
       point_in = True >[$j(k
^  
    Else {.,-lFb\  
       point_in = False ./Y5Vk#Rp\  
    End If I(bxCiRV  
End Function

'得到点半径,得到交点坐标函数 8|U-{"!O?  
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() bb@3%r|_<  
    '求得中心点坐标 dXBXV>rbB  
Dim tt As String M%aA1!@/  
Dim rt(3) As Single E
N\ uX!  
    '判断是否平行 40M/Gu:  
   acx = p3x - p1x gO9\pI2  
   acy = p3y - p1y s|q
]11r+H  
   bdx = p4x - p2x #mFY?Zp)  
   bdy = p4y - p2y #_U[
T  
   If acx * bdy = acy * bdx Then 1OwVb  
      rt(0) = 0 5GHW~q!Zo\  
      Exit Function =Zt7}V  
   Else xGBp+j1H  
      '判断斜率存在否 P c'0.4  
      If p1x = p3x And p2x <> p4x Then Gc1!
')g!  
         tt = "ac_n_bd_y" f,s1k[w/;  
      ElseIf p1x <> p3x And p2x = p4x Then T\
"eqa  
         tt = "ac_y_bd_n"  mRYM,  
      ElseIf p1x <> p3x And p2x <> p4x Then a6/$}lCq  
         tt = "ac_y_bd_y" KhWt9=9  
      End If ?T (@<T  
    Select Case tt {*lRI  
         Case "ac_n_bd_y" *D_pFS^l  
            'bd线段方程 (&=gM  
            k_bd = bdy / bdx )LRso>iOO  
            b_bd = p2y - k_bd * p2x s2N~p^  
            p_x = p1x J Gpy$T{t  
            p_y = k_bd * p_x + b_bd ;q;}2  
         Case "ac_y_bd_n" :Qd{V3*]  
            'ac线段方程 %aHQIoxg  
            k_ac = acy / acx 8 FJ>W.  
            b_ac = p1y - k_ac * p1x P&2/J%@zG  
            p_x = p2x &1(PS)s  
            p_y = k_ac * p_x + b_ac ! ,v!7I  
        Case "ac_y_bd_y" D(YNa  
           'ac，bd线段都要求 !=t.AgmL  
           k_ac = acy / acx  0+P[
0  
           b_ac = p1y - k_ac * p1x u@ psVt   
           k_bd = bdy / bdx 08pG)_L  
           b_bd = p2y - k_bd * p2x /^jV-Z`  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac)
k>aWI  
           p_y = k_ac * p_x + b_ac CEMe2~  
        End Select F%s'R 0l  
      rt(1) = p_x ;H%T5$:trP  
      rt(2) = p_y JPt0k  
    
HT@/0MF{J  
'计算最大半径 NR@n%p  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) "
^3pP(8;~  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 6t0-u~  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) >i:hdcxe  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 2
dpTU=K4  
Dim bb(5) As Single 7Ns1b(kU  
  bb(1) = rr1 dh.vZ0v=7  
  bb(2) = rr2 ^@a|s Sb  
  bb(3) = rr3 )c"m:3D@  
  bb(4) = rr4 6Pzz= ai<  
  nb = rr1 m@2;9  
For i = 1 To 4 d0"Xlleld  
    If nb <= bb(i) Then rERHfr`OU  
       nb = bb(i) QaAWO  
    End If #383W)n  
Next i Bl6>y/  
    rt(0) = Sqr(nb) 8G6[\P3fQ  
    rr = rt() B[8`l} t  
  End If %I 3D/!%  
         {YoK63b$  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  3S97hn{|=  

9t1aR*b&@  
有热压工艺方面的人才或者资料分享下； MBO3y&\S4  
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 _?+gfi+  

高手真多！

楼主威武霸气.