[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： %]tW2s"  
3!QXzT$E  

$M4_"!  

关键点说几个： oq1wU
@n  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） )fS6H<*  
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 P#8lO%;  
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 3!#FG0Z  

以下是几个重要的函数： {%,4P_m  
1.判断点在区域中函数 YX3NZW2i  
2.计算夹角函数 ozH
L'H  
3.转置函数 %6M%PR~
u  
4.得到区域中心点，及区域半径函数 c@4$)68  
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） ^hT2ed +  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 QNXS.!\P  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single o{mVXidE  
   cax = x2 - x1 X]GodqL\  
   cay = y2 - y1 X?`mYoe  
   cbx = x2 - x3 wp:Zur5Y  
   cby = y2 - y3 O\%0D.HEz  
   mo_jj = cax * cbx + cay * cby v`6vc)>8  
   mo_ca = Sqr(cax * cax + cay * cay) OsYZa`$,  
   mo_cb = Sqr(cbx * cbx + cby * cby) @x*,fk  
   cos_acb = mo_jj / (mo_ca * mo_cb) &{q'$oF  
   'ff_cos = cos_acb yaHkWkl =  
   If cos_acb >= 1 Then '?X?'_3  
   nn = 0 
Sm|TDH  
   ElseIf cos_acb <= -1 Then sdgI ,  
   nn = 3.14159265258979 4"^W/Zo  
   Else 7.kH="@  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ?1eu9;q\*  
   End If Dx9k%G)!  
   'ff_angle = nn
L,,*8  
   ff_angle = nn * 180 / 3.14159265258979 5.kKg=a  
End Function

'判断点在区域内函数 IZd~Am3
f  
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 ,wyEo>>4)  
Dim aob, boc, cod, doa, sum As Single \vW'\}  
  If ppx = p1x And ppy = p1y Then c/(Dg$DbX  
     point_in = True I}]UQ4XJ  
     Exit Function zYftgH_o  
  End If i+I1h=  
  If ppx = p2x And ppy = p2y Then :e}j$vF  
     point_in = True =#&+w[4?&.  
     Exit Function v~YGef;D  
  End If d%p{l)Hd  
   If ppx = p3x And ppy = p3y Then 9h6siK(F  
     point_in = True /-=h|A#Kh  
     Exit Function w`zS`
+4  
  End If xBqZ: BQ  
     &nY#GHB  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) +.*=Fn22  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) fA),^  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) &.Yu%=}  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) <DEu]-'>  
    sum = aob + boc + cod + doa LftGA7uGJ)  
    If 360.01 > sum And sum > 359.99 Then l o- 42)  
       point_in = True ;9vY5CxzC  
    Else vOtILL6  
       point_in = False N#X* 0i"  
    End If ]BmnE#n&  
End Function

'得到点半径,得到交点坐标函数 mCQ:<#  
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() ^Qxv5HS2  
    '求得中心点坐标 r(zn1;zl  
Dim tt As String Y&$puiH-j  
Dim rt(3) As Single /9?yw!  
    '判断是否平行 (!9+QXb'  
   acx = p3x - p1x _k(&<
1i  
   acy = p3y - p1y [4;G^{ bX  
   bdx = p4x - p2x
I(Vg
 
   bdy = p4y - p2y pLMaXX~4_  
   If acx * bdy = acy * bdx Then _93:_L  
      rt(0) = 0 7{NH;U t  
      Exit Function jQ-2SA O  
   Else *\`<=,H6<  
      '判断斜率存在否 G"Hj$  
      If p1x = p3x And p2x <> p4x Then U~oGg$  
         tt = "ac_n_bd_y" JX#0<U|L  
      ElseIf p1x <> p3x And p2x = p4x Then \\`(x:\  
         tt = "ac_y_bd_n" r,P`$-  
      ElseIf p1x <> p3x And p2x <> p4x Then va0}?fy.O%  
         tt = "ac_y_bd_y" ?Q"1zcX  
      End If gE8>o:6)6:  
    Select Case tt | S
'mF6Y  
         Case "ac_n_bd_y" f#gV>.P;h\  
            'bd线段方程 y'O<*~C(X  
            k_bd = bdy / bdx @\a~5CLN  
            b_bd = p2y - k_bd * p2x nt%p@e!,  
            p_x = p1x *dsI>4%m  
            p_y = k_bd * p_x + b_bd "h8fTB\7S\  
         Case "ac_y_bd_n" &+yoPF  
            'ac线段方程 |ZOdfr4uW  
            k_ac = acy / acx Au:R]7   
            b_ac = p1y - k_ac * p1x ^S!;snhn  
            p_x = p2x aF>&X-2  
            p_y = k_ac * p_x + b_ac F#.ph?W  
        Case "ac_y_bd_y" 8uA!Vrp3  
           'ac，bd线段都要求 T*'WS!z  
           k_ac = acy / acx g~76c.u-  
           b_ac = p1y - k_ac * p1x gq="&  
           k_bd = bdy / bdx g1Osd7\o  
           b_bd = p2y - k_bd * p2x $ k_6  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 6-+wfrN2  
           p_y = k_ac * p_x + b_ac y>^0q/=]?O  
        End Select rU1Ri  
      rt(1) = p_x 1Afy$It/{  
      rt(2) = p_y eL{$=Um  
     aS~~*UHW  
'计算最大半径 dAy\IfZX=  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) L<6nM ;d  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 8i)9ho<  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 1X9J[5|ll  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y)
QXgfjo  
Dim bb(5) As Single t=fP^bJ  
  bb(1) = rr1 3jHg9M23[^  
  bb(2) = rr2 ]ZNFrpq  
  bb(3) = rr3 zMd><UQP{  
  bb(4) = rr4 OU!."r`9  
  nb = rr1 z";(0%  
For i = 1 To 4 `g0^W/j  
    If nb <= bb(i) Then "F4 3q8P  
       nb = bb(i) A8Km8"  
    End If g1(5QWb  
Next i >P//]nn  
    rt(0) = Sqr(nb) [6Sk>j  
    rr = rt() hFxT@I~  
  End If pWP1$;8   
         [8%q@6[  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  1eEML"  

" Up(Vj@  
有热压工艺方面的人才或者资料分享下； R.Fl5B  
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 1i_%1Oip  

高手真多！

楼主威武霸气.