[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： iuY,E  
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B=d<L^  

关键点说几个： zG_nx3  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） G7&TMg7i  
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 7!AyLw  
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 F0_w9"3E~  

以下是几个重要的函数： {BJ>x:2  
1.判断点在区域中函数 W_M#Gi/AL  
2.计算夹角函数 nvndgeSy  
3.转置函数 aH."| *.  
4.得到区域中心点，及区域半径函数 &/UfXKr  
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） ^o5;><S]  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 B{Vc-qJ  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single )$TN%hV!  
   cax = x2 - x1 Dazm8_x  
   cay = y2 - y1 ;w.la  
   cbx = x2 - x3 v Z]j%c@  
   cby = y2 - y3 H[.)&7M\  
   mo_jj = cax * cbx + cay * cby 9 3)fC  
   mo_ca = Sqr(cax * cax + cay * cay) =%~- M  
   mo_cb = Sqr(cbx * cbx + cby * cby) ZXs,TaU  
   cos_acb = mo_jj / (mo_ca * mo_cb) H]tD~KM<  
   'ff_cos = cos_acb |j0_^:2r=  
   If cos_acb >= 1 Then gamB]FPZ  
   nn = 0 yP3I^>AZ3  
   ElseIf cos_acb <= -1 Then By@65KmR"  
   nn = 3.14159265258979 gf>H-718F  
   Else 2!-Q!c`y  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 0M;g&&mF  
   End If hiVa\s  
   'ff_angle = nn %mss{p!
d6  
   ff_angle = nn * 180 / 3.14159265258979 @H`jDaB9  
End Function

'判断点在区域内函数 =aB+|E  
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 -KC@M  
Dim aob, boc, cod, doa, sum As Single NTq_"`JjZ  
  If ppx = p1x And ppy = p1y Then <J%Z?3@T  
     point_in = True #EUT"^:d  
     Exit Function wA$?e}  
  End If r4P%.YO+X  
  If ppx = p2x And ppy = p2y Then ]CNPy$>*  
     point_in = True KH#z
=_  
     Exit Function CP\[9#]:  
  End If 2fkyz  
   If ppx = p3x And ppy = p3y Then i45.2,  
     point_in = True S}rEQGGR{  
     Exit Function &v0]{)PO  
  End If ?J2A.x5`a  
     @,oc%m  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) wowf1j-  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) %iNgHoH  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) (pCHj'  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) K@e2%hk9x  
    sum = aob + boc + cod + doa h{7>>  
    If 360.01 > sum And sum > 359.99 Then  GpTZp#~;  
       point_in = True vmNo~clt\  
    Else Xbmsq,*]  
       point_in = False \2+ngq)  
    End If 8!35 K  
End Function

'得到点半径,得到交点坐标函数 Kh4rl)L*+%  
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() $yU}56(z~  
    '求得中心点坐标 :4[>]&:u3  
Dim tt As String xKBi".wA  
Dim rt(3) As Single Kn$t_7AF^  
    '判断是否平行 5q@s6_"{  
   acx = p3x - p1x G)YmaHeI;[  
   acy = p3y - p1y ncadVheKt  
   bdx = p4x - p2x ;\}dQsX  
   bdy = p4y - p2y E8PwA.  
   If acx * bdy = acy * bdx Then i{N?Y0YQs0  
      rt(0) = 0 ,#BD/dF  
      Exit Function + R6X  
   Else :I"22EH  
      '判断斜率存在否 shdz
kET8N  
      If p1x = p3x And p2x <> p4x Then /Bgqf,N |  
         tt = "ac_n_bd_y" @?J7=}bzz  
      ElseIf p1x <> p3x And p2x = p4x Then FT>>XP8  
         tt = "ac_y_bd_n" 2V;{@k  
      ElseIf p1x <> p3x And p2x <> p4x Then P=}dR&gk'  
         tt = "ac_y_bd_y" NApy(e5%  
      End If 7)}_'p  
    Select Case tt vK/`or3U  
         Case "ac_n_bd_y" D]fgBW-  
            'bd线段方程 wvisu\V  
            k_bd = bdy / bdx "D>/#cY1/  
            b_bd = p2y - k_bd * p2x eu)""l  
            p_x = p1x dpchZ{  
            p_y = k_bd * p_x + b_bd )$1j"mV  
         Case "ac_y_bd_n" /m>SEo\{C  
            'ac线段方程 ?`Mk$Y%my  
            k_ac = acy / acx lmUCrs37  
            b_ac = p1y - k_ac * p1x \2~\c#-k  
            p_x = p2x c1i[1x%
  
            p_y = k_ac * p_x + b_ac 7gOu|t  
        Case "ac_y_bd_y" @g`|ob]9  
           'ac，bd线段都要求 ODKh/u_  
           k_ac = acy / acx $<=d[6  
           b_ac = p1y - k_ac * p1x @N[<<k7g  
           k_bd = bdy / bdx r/':^Ex  
           b_bd = p2y - k_bd * p2x n>B ,O  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) .K-d
 
           p_y = k_ac * p_x + b_ac HD{u
#~8{  
        End Select OXZK|C;M}  
      rt(1) = p_x =d@)*W 6  
      rt(2) = p_y NMg(tmh  
     !s$1C=z5u  
'计算最大半径 R)N^j'R~=  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) im+g|9@%  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) gkTwGI+w  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ;H8`^;  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) \I6F;G6  
Dim bb(5) As Single {C?$osrr  
  bb(1) = rr1 t:oq'
t  
  bb(2) = rr2 p|qLr9\A  
  bb(3) = rr3 hxJKYU^%m  
  bb(4) = rr4 #~m^RoE  
  nb = rr1 N&G(`]  
For i = 1 To 4 QA~F  
    If nb <= bb(i) Then u f<%!=e  
       nb = bb(i) v`'Iew }  
    End If kuLur)^
 
Next i iM9k!u FE  
    rt(0) = Sqr(nb) dEkST[Y3  
    rr = rt() Q;y4yJ$wI  
  End If U+ Yu_=o{  
         )BaGY  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  p~(STHDe#  

Ak}`zIo  
有热压工艺方面的人才或者资料分享下； [ 'B 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 7^#O{QYol  

高手真多！

楼主威武霸气.