[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： 7(8  
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描述:请输入描述

图片:2.jpg

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关键点说几个： s.`%ZDl@Y  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） Ya&\ly /i  
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 _2X6
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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 *_/eAi/WG  

以下是几个重要的函数： h/0-Mrk;e  
1.判断点在区域中函数 2mG&@
E  
2.计算夹角函数 C+(Gg^ w  
3.转置函数 t:"=]zUU  
4.得到区域中心点，及区域半径函数 C*y6~AYN#  
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） #!=>muZt  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 V>>) 7E:Q  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ~Miin   
   cax = x2 - x1 ^{fi^lL=  
   cay = y2 - y1 $E`iqRB  
   cbx = x2 - x3 01-\:[{  
   cby = y2 - y3 cGpN4|*rQ  
   mo_jj = cax * cbx + cay * cby *`g-gk  
   mo_ca = Sqr(cax * cax + cay * cay) :L [YmZ  
   mo_cb = Sqr(cbx * cbx + cby * cby) ??\*D9rCn  
   cos_acb = mo_jj / (mo_ca * mo_cb) OHtgn  
   'ff_cos = cos_acb >d27[%  
   If cos_acb >= 1 Then #zSi/r/=1  
   nn = 0 =hugnX<9  
   ElseIf cos_acb <= -1 Then ]cLEuE^&  
   nn = 3.14159265258979 9o_ g_q  
   Else NDe[2  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 4iYKW2a  
   End If e"o6C\c  
   'ff_angle = nn V 4\^TO`q=  
   ff_angle = nn * 180 / 3.14159265258979 *fQ?A|l!x  
End Function

'判断点在区域内函数 tyn?o  
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 As6)_8w  
Dim aob, boc, cod, doa, sum As Single oRT  
  If ppx = p1x And ppy = p1y Then _gPVmGG  
     point_in = True Wk\mgGn+  
     Exit Function %?]{U($?  
  End If Qr|N)  
  If ppx = p2x And ppy = p2y Then 0okO+Q
U,a  
     point_in = True ,u?wYW;  
     Exit Function uKR\Xo}  
  End If #514a(6  
   If ppx = p3x And ppy = p3y Then hapB! ~M?  
     point_in = True u_}`y1Xu#  
     Exit Function -!'Oy%a#  
  End If PmPyb>HK=P  
     `uIx/.L  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) G|QUujl  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) q9W~7  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) SZim>@R  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 1R'u v4e  
    sum = aob + boc + cod + doa 5YTb7M  
    If 360.01 > sum And sum > 359.99 Then _XH4;uGg  
       point_in = True 7gVh
!rm  
    Else G8^0^@o  
       point_in = False _dYf  
    End If TRs[~K)n  
End Function

'得到点半径,得到交点坐标函数 ri/t(m^{W  
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() M(n<Iu4^_  
    '求得中心点坐标 nuf@}W>y  
Dim tt As String }Kvh`@CiJ  
Dim rt(3) As Single bn0"M+7)f  
    '判断是否平行 :3111}>c  
   acx = p3x - p1x ;jRL3gAe)  
   acy = p3y - p1y )LkM,T  
   bdx = p4x - p2x 8yHq7=  
   bdy = p4y - p2y m.1LxM$8  
   If acx * bdy = acy * bdx Then NEqt).   
      rt(0) = 0 MZCL:#  
      Exit Function R'*<A3^  
   Else f|- m ^/y  
      '判断斜率存在否 fp.!VOy  
      If p1x = p3x And p2x <> p4x Then u/z,92mmS  
         tt = "ac_n_bd_y" IY];S
s&i  
      ElseIf p1x <> p3x And p2x = p4x Then I#i?**  
         tt = "ac_y_bd_n" D3<IuWeM  
      ElseIf p1x <> p3x And p2x <> p4x Then @PYW|*VS  
         tt = "ac_y_bd_y" Jn@Z8%B@Z  
      End If 3x04JE3!  
    Select Case tt o `b`*Z  
         Case "ac_n_bd_y" =jJ H^Y2  
            'bd线段方程 NY4!TOp  
            k_bd = bdy / bdx sFbfFUd  
            b_bd = p2y - k_bd * p2x 8B}'\e4i  
            p_x = p1x PYdIP\<V  
            p_y = k_bd * p_x + b_bd Na\3.:]z  
         Case "ac_y_bd_n" ]XmQ]Yit  
            'ac线段方程 gb.f%rlZ`  
            k_ac = acy / acx hNH.G(l0  
            b_ac = p1y - k_ac * p1x 2~vo+ng  
            p_x = p2x hmc\|IF`  
            p_y = k_ac * p_x + b_ac aXRv}WO$>k  
        Case "ac_y_bd_y" RxlszyE  
           'ac，bd线段都要求 6{5q@9F  
           k_ac = acy / acx N YCj; ,V  
           b_ac = p1y - k_ac * p1x 7sj<|g<h(_  
           k_bd = bdy / bdx G1kDM.L  
           b_bd = p2y - k_bd * p2x 4O$mR  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) MinbE13?U  
           p_y = k_ac * p_x + b_ac [_j6cj]  
        End Select lo"j )Zt  
      rt(1) = p_x P;j&kuW|zL  
      rt(2) = p_y u@AI&[Z  
     {?w"hjy  
'计算最大半径 7*+Km'=M  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 7rH'1U  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) )V=0IZi  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) _o\>V:IZ  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) Ynvj;
  
Dim bb(5) As Single aPprMQ5  
  bb(1) = rr1 $2Kau 1  
  bb(2) = rr2 4S'[\ZJO  
  bb(3) = rr3 =.DTR5(_h  
  bb(4) = rr4 3voW  
  nb = rr1 Kl2}o|b   
For i = 1 To 4 Tj Mb>w9  
    If nb <= bb(i) Then /j11,O?72  
       nb = bb(i) PXa5g5!  
    End If A_@I_V$  
Next i *nLIXnm  
    rt(0) = Sqr(nb) {W-5:~?"  
    rr = rt() -<|Y1PQ  
  End If q1H~ |1  
         :MK=h;5Z  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  1q]&7R  

ddoFaQ8  
有热压工艺方面的人才或者资料分享下； g_vm&~U/'  
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 O#:&*Mv  

高手真多！

楼主威武霸气.