[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： s!
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关键点说几个： Sy55w={  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） bL%)k61G_v  
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 '%4,!  
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 >?V->7QLP  

以下是几个重要的函数： xcA`W|M  
1.判断点在区域中函数 5=\b+<pE  
2.计算夹角函数 U# gmk0>t{  
3.转置函数 ;'ur
t /  
4.得到区域中心点，及区域半径函数 ho. a93  
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） ~Gza$ K  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 &H6Fkza;4  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single tFCeE=4%  
   cax = x2 - x1 L`BLkDm  
   cay = y2 - y1 9b>a<Z  
   cbx = x2 - x3 "#%T*c{Tf0  
   cby = y2 - y3 P=.W.oS  
   mo_jj = cax * cbx + cay * cby E*zk?G|  
   mo_ca = Sqr(cax * cax + cay * cay) F/h)azcn  
   mo_cb = Sqr(cbx * cbx + cby * cby) pmZr<xs   
   cos_acb = mo_jj / (mo_ca * mo_cb) mb/Y  
   'ff_cos = cos_acb O\?ei+(H7  
   If cos_acb >= 1 Then {.AFg/Z  
   nn = 0 ]4PG[9J@  
   ElseIf cos_acb <= -1 Then /C"E*a  
   nn = 3.14159265258979 OWU]gh@r  
   Else 6k-]2,\#  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 8@!SM  
   End If 3't?%$'5  
   'ff_angle = nn ^(y4]yZ  
   ff_angle = nn * 180 / 3.14159265258979 pdM|dGq^  
End Function

'判断点在区域内函数 ]0o78(/w2  
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 &}WSfZ0{  
Dim aob, boc, cod, doa, sum As Single Li}yK[\]  
  If ppx = p1x And ppy = p1y Then |yS4um(w  
     point_in = True u >x2  
     Exit Function g\2Y605DM  
  End If ]C_6I\Z#=W  
  If ppx = p2x And ppy = p2y Then LGK}oL'  
     point_in = True & )Z JT.S  
     Exit Function 6;ICX2Wq'  
  End If *fl1 =Rfr  
   If ppx = p3x And ppy = p3y Then nRvV+F0#  
     point_in = True Gz`Zp "i%0  
     Exit Function l-5-Tf&j  
  End If | r2'B  
     O\xUv  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) u4%-e)$X  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) avdi9!J2  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ?=6zgb"9-  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Oa{M9d,l  
    sum = aob + boc + cod + doa oo`mVRVf  
    If 360.01 > sum And sum > 359.99 Then ).LJY<A  
       point_in = True RP6QS)|  
    Else }V09tK/M  
       point_in = False 07n=H~yU  
    End If g8^$,  
End Function

'得到点半径,得到交点坐标函数 fy7]
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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() .7{,u1N'  
    '求得中心点坐标 s+,JwV?b  
Dim tt As String x-cg df  
Dim rt(3) As Single *r=6bpi  
    '判断是否平行 Y'58.8hl  
   acx = p3x - p1x ^dRB(E}|)  
   acy = p3y - p1y UkeX">  
   bdx = p4x - p2x T2GJoJ!  
   bdy = p4y - p2y zGA#7W2?0  
   If acx * bdy = acy * bdx Then iWO16=  
      rt(0) = 0 !M\8k$#"n  
      Exit Function ZxY%x/K  
   Else pFhznH{0  
      '判断斜率存在否 V4iN2  
      If p1x = p3x And p2x <> p4x Then </Ja@%  
         tt = "ac_n_bd_y" :D;BA  
      ElseIf p1x <> p3x And p2x = p4x Then Z sv(/>  
         tt = "ac_y_bd_n" r3;?]r.}7  
      ElseIf p1x <> p3x And p2x <> p4x Then 6ID@0  
         tt = "ac_y_bd_y" K '7M\:zy  
      End If b@"#A8M  
    Select Case tt +uLl3(ml  
         Case "ac_n_bd_y" }mz@oEB#vF  
            'bd线段方程 m>DBO
|`  
            k_bd = bdy / bdx Xnpw'<~X  
            b_bd = p2y - k_bd * p2x xbsp[0I,  
            p_x = p1x AKu]c-  
            p_y = k_bd * p_x + b_bd vjmNS=l  
         Case "ac_y_bd_n" u8 Q`la  
            'ac线段方程 /5pVzv+rm  
            k_ac = acy / acx Onz@A"  
            b_ac = p1y - k_ac * p1x ZuH@qq\  
            p_x = p2x ?t46TV'G  
            p_y = k_ac * p_x + b_ac S8 .1%sw  
        Case "ac_y_bd_y" 7a\at)q/y  
           'ac，bd线段都要求 gd#+N]C_  
           k_ac = acy / acx \AQ*T`Dq  
           b_ac = p1y - k_ac * p1x RR
|Z,  
           k_bd = bdy / bdx gLy1*k4  
           b_bd = p2y - k_bd * p2x N"L@  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) =*>ri  
           p_y = k_ac * p_x + b_ac e#BxlC  
        End Select 9#cPEbb~  
      rt(1) = p_x clyZD`*  
      rt(2) = p_y C;>!SRCp  
     ?g+uJf  
'计算最大半径 L.X"wIs^  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) LYhjI  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) j2^Vz{  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) >sGIpER7  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) Klrd|;C  
Dim bb(5) As Single (J}tCqP  
  bb(1) = rr1 F}MjZZj(U=  
  bb(2) = rr2 ^Q,-4\ec  
  bb(3) = rr3 %1h%#/#[  
  bb(4) = rr4 7!F<Uf,V3  
  nb = rr1 upi\pXv  
For i = 1 To 4 jJbS{1z  
    If nb <= bb(i) Then &65I 6  
       nb = bb(i) JP{Y Q:NF  
    End If #7v=#Jco  
Next i h\-3Y U  
    rt(0) = Sqr(nb) zpgRK4p,I"  
    rr = rt() efN5(9*9R  
  End If y8%QS*  
         l\tg.O~  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ^tL]QE?|  

,l#f6H7p  
有热压工艺方面的人才或者资料分享下； )O,+'w?  
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 xf3;:soC  

高手真多！

楼主威武霸气.