[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： cl7+DAE  
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关键点说几个： |)JoxqR  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） G7/LYTT)  
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 ;<X3AhF  
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 qK1V!a2  

以下是几个重要的函数： y?@Y\ b  
1.判断点在区域中函数 x[^A9  
2.计算夹角函数 \j;uN#)28  
3.转置函数 c_
a$g  
4.得到区域中心点，及区域半径函数 Y-c~"#  
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） ;VFr5.*x  
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}RZdO~  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single uY~A0I5Z  
   cax = x2 - x1 |YFD|  
   cay = y2 - y1 U ^9oc&  
   cbx = x2 - x3 wqOhJYc  
   cby = y2 - y3 yrs3`/  
   mo_jj = cax * cbx + cay * cby GKtQ>39B  
   mo_ca = Sqr(cax * cax + cay * cay) &P3vcB  
   mo_cb = Sqr(cbx * cbx + cby * cby) ncdr/(`  
   cos_acb = mo_jj / (mo_ca * mo_cb) ] zY  
   'ff_cos = cos_acb ,7g;r_qwA  
   If cos_acb >= 1 Then {LD8ie|x1`  
   nn = 0 dR+$7N$  
   ElseIf cos_acb <= -1 Then v+sbRuo8  
   nn = 3.14159265258979 A,e^bM  
   Else _D4}
[`  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Wd5t,8*8  
   End If 8vw]u_e  
   'ff_angle = nn T_Y}1n|7[  
   ff_angle = nn * 180 / 3.14159265258979 x+e _pb   
End Function

'判断点在区域内函数 ?&m]du#6  
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
l7!)#^`2_  
Dim aob, boc, cod, doa, sum As Single 8!6*|!,:?n  
  If ppx = p1x And ppy = p1y Then OF/)-}!  
     point_in = True 9Ol_z\5  
     Exit Function iGMONJRO  
  End If  Zwns|23n  
  If ppx = p2x And ppy = p2y Then UJ$:5*S=u  
     point_in = True r_E)HL/A  
     Exit Function m5aaY  
  End If  0QqzS  
   If ppx = p3x And ppy = p3y Then ]?`p_G3O  
     point_in = True )>5k'1  
     Exit Function 34kd|!e,  
  End If <SZO- -+lB  
     Z;\"pP:  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) W? ||9  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) (v:ek_  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) E_1
I|$  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) ](:FW '-  
    sum = aob + boc + cod + doa HbfB[%  
    If 360.01 > sum And sum > 359.99 Then ld}$Tsy0  
       point_in = True uE`|0  
    Else lkg*AAR?'  
       point_in = False b|o!&9Yyr  
    End If %H@76NvEz  
End Function

'得到点半径,得到交点坐标函数 `{lAhZ5  
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() {a8^6dm*E  
    '求得中心点坐标 k5;Vl0Ho  
Dim tt As String L"!ZY  
Dim rt(3) As Single /:{_|P\  
    '判断是否平行 F*JvpI[7n  
   acx = p3x - p1x =/JF-#n/MA  
   acy = p3y - p1y @@3,+7%1  
   bdx = p4x - p2x 83ic@[  
   bdy = p4y - p2y 3u0<v%Qi  
   If acx * bdy = acy * bdx Then 5YI/Ec  
      rt(0) = 0 _c ]3nzIr  
      Exit Function 0
$L0fhw.  
   Else F:o#  
      '判断斜率存在否 tWSvxGCzn%  
      If p1x = p3x And p2x <> p4x Then j-`X_8W  
         tt = "ac_n_bd_y" Sja{$zL+W  
      ElseIf p1x <> p3x And p2x = p4x Then \y H3Y  
         tt = "ac_y_bd_n" B5,QJ W*  
      ElseIf p1x <> p3x And p2x <> p4x Then yC 7Vb P  
         tt = "ac_y_bd_y" #>m, Cm  
      End If 
gr`Ar;  
    Select Case tt vo6[2.HS  
         Case "ac_n_bd_y" ^Z>B/aJq  
            'bd线段方程 %:w% o$  
            k_bd = bdy / bdx PL9eUy  
            b_bd = p2y - k_bd * p2x fHe0
W  
            p_x = p1x u@Cf*VPK  
            p_y = k_bd * p_x + b_bd ]r6BLZ[%  
         Case "ac_y_bd_n" Ur([L&  
            'ac线段方程 {#1j"  
            k_ac = acy / acx 7}'A)C>J;  
            b_ac = p1y - k_ac * p1x x #tu  
            p_x = p2x !q$&JZY  
            p_y = k_ac * p_x + b_ac ?l, X!o6  
        Case "ac_y_bd_y" O/Y\ps3r  
           'ac，bd线段都要求 }xf='lE  
           k_ac = acy / acx wHOlj)CZ  
           b_ac = p1y - k_ac * p1x =qp}p'BYe  
           k_bd = bdy / bdx /}nrF4S  
           b_bd = p2y - k_bd * p2x =l8!VJa  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 9jMC|oE  
           p_y = k_ac * p_x + b_ac G=C5T(  
        End Select RF4$  
      rt(1) = p_x 2&gd"
Ak(  
      rt(2) = p_y P('t6MVlT  
     lP@)  
'计算最大半径 fys5-1@-p  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) P^8^1-b  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) Z\|u9DO  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) WXLe,7y  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) uS,p|}Q&  
Dim bb(5) As Single Jm %ynW  
  bb(1) = rr1 $AA~]'O>6:  
  bb(2) = rr2 (}{_]X|e  
  bb(3) = rr3 ` /I bWu  
  bb(4) = rr4 X`fhln9N  
  nb = rr1 9U|<q  
For i = 1 To 4 1iNsX\M  
    If nb <= bb(i) Then f`hyYp`d5  
       nb = bb(i) ,C{^`Bk-W  
    End If 9u?)vR[@e  
Next i /`+Hwdk  
    rt(0) = Sqr(nb) 3tT|9Tb@  
    rr = rt() "YG\  
  End If aFRTNu/r  
         |;A9A's  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  LyIKP$t  

SGt5~Txj  
有热压工艺方面的人才或者资料分享下； O{~KR/  
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 A*hZv|$0  

高手真多！

楼主威武霸气.