[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： oh0|2I
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关键点说几个： 0$ 9;pzr  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） W$Q)aA7  
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  Am%a4{b  
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 C1B3VG  

以下是几个重要的函数： JlDDM %  
1.判断点在区域中函数 {_toh/8)r  
2.计算夹角函数 +V);'"L  
3.转置函数 CziaxJ  
4.得到区域中心点，及区域半径函数 R-A'v&=  
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） [zTYiNa  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 UC+7-y,
  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single +)JNFy-  
   cax = x2 - x1 eN|HJ=  
   cay = y2 - y1 k99gjL`  
   cbx = x2 - x3 9!xD~(Kr  
   cby = y2 - y3 %eJ\d?nw  
   mo_jj = cax * cbx + cay * cby &J;H@d||  
   mo_ca = Sqr(cax * cax + cay * cay) J|"nwY}a9  
   mo_cb = Sqr(cbx * cbx + cby * cby) "ji$@b_\?  
   cos_acb = mo_jj / (mo_ca * mo_cb) UR/qVO?  
   'ff_cos = cos_acb x7KcO0F{  
   If cos_acb >= 1 Then Z(LxB$^l[  
   nn = 0 GcZM+c  
   ElseIf cos_acb <= -1 Then X"TUe>cM  
   nn = 3.14159265258979 VA=#0w  
   Else qu<B%v  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ~}$\B^z+  
   End If 9QC"Od9H  
   'ff_angle = nn O>SuZ>g+7  
   ff_angle = nn * 180 / 3.14159265258979 !c4)pMd  
End Function

'判断点在区域内函数 ){O1&|z-
 
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 (XbMrPKG  
Dim aob, boc, cod, doa, sum As Single &*(n<5wt  
  If ppx = p1x And ppy = p1y Then VD9 q5tt7  
     point_in = True CdBthOPX)  
     Exit Function 00`bL  
  End If CF3E]dt  
  If ppx = p2x And ppy = p2y Then j<l#qho{h  
     point_in = True 0NL :z1N-h  
     Exit Function hi;WFyJTu  
  End If E/wQ+rv  
   If ppx = p3x And ppy = p3y Then ERp:EZ'  
     point_in = True E1c>nrnh*  
     Exit Function u;+%Qh  
  End If ee&nU(pK  
     ur/Oc24i1n  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 6-*~t8  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 0M#N=%31  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) :kWZSN8.D  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) vQ:x%=]  
    sum = aob + boc + cod + doa eZ!yPdgy|  
    If 360.01 > sum And sum > 359.99 Then U9<_6Bsd  
       point_in = True +Fk4{p  
    Else F3r S6_  
       point_in = False I6K7!+;2  
    End If I$aXnd6)  
End Function

'得到点半径,得到交点坐标函数 Z -pyFK\  
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() >:.w7LQy/  
    '求得中心点坐标 c*.G]nRc  
Dim tt As String IM[54_I  
Dim rt(3) As Single $|Q".dD  
    '判断是否平行 F`fGz)Mk  
   acx = p3x - p1x 2#'rk'X,K  
   acy = p3y - p1y @b]VCv0*f%  
   bdx = p4x - p2x D4AEZgC F,  
   bdy = p4y - p2y !c\7  
   If acx * bdy = acy * bdx Then K{|w 43>D  
      rt(0) = 0 n)tU9@4Np  
      Exit Function |$M@09,F"  
   Else /r>IV`n{  
      '判断斜率存在否 kXigX
-  
      If p1x = p3x And p2x <> p4x Then M,&tA1CH  
         tt = "ac_n_bd_y" grGhN q  
      ElseIf p1x <> p3x And p2x = p4x Then 0o;k?4aP.c  
         tt = "ac_y_bd_n" $X`bm*  
      ElseIf p1x <> p3x And p2x <> p4x Then _i-\mR_~  
         tt = "ac_y_bd_y" 1W*V2`0>  
      End If Z/xV\Ggx  
    Select Case tt (2: N;  
         Case "ac_n_bd_y" et@">D%;]  
            'bd线段方程 s;s0}Td_1  
            k_bd = bdy / bdx *:?QB8YJ  
            b_bd = p2y - k_bd * p2x E yd$fcRK  
            p_x = p1x \$'R+k-57;  
            p_y = k_bd * p_x + b_bd S<V-ZV&_:U  
         Case "ac_y_bd_n" L?C\Q^0"`G  
            'ac线段方程 jh>N_cp  
            k_ac = acy / acx YFG-U-t3  
            b_ac = p1y - k_ac * p1x =ntftSH  
            p_x = p2x P_Z M'[  
            p_y = k_ac * p_x + b_ac a-fv[oB  
        Case "ac_y_bd_y" N
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           'ac，bd线段都要求 0%/,>IR>r  
           k_ac = acy / acx wc"9A~  
           b_ac = p1y - k_ac * p1x j]Aek
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           k_bd = bdy / bdx  64SW  
           b_bd = p2y - k_bd * p2x ^#
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           p_x = -(b_bd - b_ac) / (k_bd - k_ac) '[%jjUU  
           p_y = k_ac * p_x + b_ac d60c$?"]a(  
        End Select 2v4
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      rt(1) = p_x N5yJ'i~,M  
      rt(2) = p_y X|,["Az 8  
     FzVZs#O  
'计算最大半径 z23#G>I&  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) NJk)z&M  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ;r3}g"D@  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) (9E( Q*J5x  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) lHcA j{6  
Dim bb(5) As Single >$Fp}?xX
 
  bb(1) = rr1 f#1/}Hq/I  
  bb(2) = rr2 [8.-(-/;  
  bb(3) = rr3 V- /YNRV  
  bb(4) = rr4 DjY8nePyE  
  nb = rr1 ,}KwP*:Z  
For i = 1 To 4 I,]J=xi  
    If nb <= bb(i) Then 7"#f!.E  
       nb = bb(i) ><cU7 ja[^  
    End If @`6}`k  
Next i >G&^?5  
    rt(0) = Sqr(nb) +N7"EROc  
    rr = rt() ?HV}mS[t  
  End If oooS s&t  
         C\OECVT  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  AG>\aV"b  

yLqF ,pvO  
有热压工艺方面的人才或者资料分享下； e2wvc/gG6  
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 GW/WUzK  

高手真多！

楼主威武霸气.