[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： jw[`_  
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图片:2.jpg

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关键点说几个： .0|J+D  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） u~kwNN9t3  
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 X m3t xp#  
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 rh_({rvQ  

以下是几个重要的函数： {ybuHC  
1.判断点在区域中函数 -!cAr <  
2.计算夹角函数 ]EnaZWyO]  
3.转置函数 9%qMZP0]  
4.得到区域中心点，及区域半径函数 ,Tl5@RN  
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） ks;wc"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 i_Z5SMZ  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single *h:EE6|  
   cax = x2 - x1 1>VS/H`  
   cay = y2 - y1 0Zh _Q  
   cbx = x2 - x3 Y0\\(0j64  
   cby = y2 - y3 ue"?S6  
   mo_jj = cax * cbx + cay * cby zD;] sk4  
   mo_ca = Sqr(cax * cax + cay * cay) Z3>xpw G  
   mo_cb = Sqr(cbx * cbx + cby * cby) ~x"79=!W  
   cos_acb = mo_jj / (mo_ca * mo_cb) xPup?oP >  
   'ff_cos = cos_acb ~vV)|  
   If cos_acb >= 1 Then JvL'gJ$70  
   nn = 0 \_AEuz3 F  
   ElseIf cos_acb <= -1 Then 78CJ  
   nn = 3.14159265258979 Gc!8v}[7J  
   Else \%Rta$O?S  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ~<- ci  
   End If >Ryss@o  
   'ff_angle = nn aijGz<  
   ff_angle = nn * 180 / 3.14159265258979 chmJ|  
End Function

'判断点在区域内函数 !LIfeL.4h  
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 (F[/~~  
Dim aob, boc, cod, doa, sum As Single V<2fPDZ  
  If ppx = p1x And ppy = p1y Then &s^>S?L-  
     point_in = True 04PoBv~g  
     Exit Function #;LMtDaL  
  End If Cz@FZb8  
  If ppx = p2x And ppy = p2y Then /;NE]{K  
     point_in = True 3zTE4pHzu+  
     Exit Function #} ~p^ 0  
  End If (vAv^A*i}  
   If ppx = p3x And ppy = p3y Then  L;M^>{>  
     point_in = True aaz"`,7_  
     Exit Function )@bH"  
  End If rW~?0  
     c Z6p^  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) Sm$j:xw<  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) noh|/sPMD  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) #W@% K9  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y)
HIX=MprL<  
    sum = aob + boc + cod + doa =Etwa  
    If 360.01 > sum And sum > 359.99 Then 0^}'+t,lc  
       point_in = True Ue3B+k9w  
    Else Vv]$\`d
#  
       point_in = False |Sr\jUIWn  
    End If te;Ox!B&  
End Function

'得到点半径,得到交点坐标函数 $!F&>=o  
Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() R2N^'  
    '求得中心点坐标 8Da(tS  
Dim tt As String xHv|ca.E  
Dim rt(3) As Single i$[,-4v  
    '判断是否平行 3q#"i&  
   acx = p3x - p1x 8B*E+f0  
   acy = p3y - p1y 0):uF_t<  
   bdx = p4x - p2x KP=D! l&q  
   bdy = p4y - p2y TwM1M["3  
   If acx * bdy = acy * bdx Then d<^_w!4X}  
      rt(0) = 0 p;qRm} 0}  
      Exit Function Z[#I"-Q~:  
   Else 66~e~F}z  
      '判断斜率存在否 $/[Gys3"  
      If p1x = p3x And p2x <> p4x Then _\,rX\  
         tt = "ac_n_bd_y" (B>)2:T1  
      ElseIf p1x <> p3x And p2x = p4x Then k;;nE o~6
 
         tt = "ac_y_bd_n" >`hSye{  
      ElseIf p1x <> p3x And p2x <> p4x Then 3VcT7y*{P  
         tt = "ac_y_bd_y" rWoe ?g  
      End If OgEUq''  
    Select Case tt S9G8aea/  
         Case "ac_n_bd_y" rDIhpT)a  
            'bd线段方程 {A]k%74-a  
            k_bd = bdy / bdx M5']sdR(l  
            b_bd = p2y - k_bd * p2x e1%rVQ(v  
            p_x = p1x ;JOD!|  
            p_y = k_bd * p_x + b_bd *>e~_{F  
         Case "ac_y_bd_n" 6Cl+KcJH  
            'ac线段方程 ljup#:n  
            k_ac = acy / acx =cdh'"XN  
            b_ac = p1y - k_ac * p1x M MAA
Ho  
            p_x = p2x a?zR
8$t|  
            p_y = k_ac * p_x + b_ac j6n2dMRvSE  
        Case "ac_y_bd_y" h`?y2?O  
           'ac，bd线段都要求 ,dHP`j ?  
           k_ac = acy / acx 4id3P{aU  
           b_ac = p1y - k_ac * p1x T(Y}V[0+  
           k_bd = bdy / bdx rGTWcJ  
           b_bd = p2y - k_bd * p2x ,3:QB_  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) KU+( YF$1
 
           p_y = k_ac * p_x + b_ac yDd=& T   
        End Select "0|BoG  
      rt(1) = p_x /K_ i8!y  
      rt(2) = p_y HR[Q ?rg  
     o*%3[HmV  
'计算最大半径 GS}0;x  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) }l.KpdRT2  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) HS{P?~:=U  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) &nQRa?3,   
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 54=}GnZN  
Dim bb(5) As Single azvDvEWCQZ  
  bb(1) = rr1 yrO?Np  
  bb(2) = rr2 S&n[4*  
  bb(3) = rr3 Lb!r(o>8Cb  
  bb(4) = rr4 e@[9C(5E"  
  nb = rr1 LPq2+:JpS  
For i = 1 To 4 PdR >;$1  
    If nb <= bb(i) Then dF$KrwDK  
       nb = bb(i) Tc:sldtCk  
    End If q1UBKhpnH  
Next i -dl}_   
    rt(0) = Sqr(nb) ?#4+r_dP  
    rr = rt() =Q@6c   
  End If ab{;Z5O  
         9^oo-,Su_  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ,aWCiu}  

t?HF-zQ  
有热压工艺方面的人才或者资料分享下； s@PLS5d"  
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 =D5wqCT(Q  

高手真多！

楼主威武霸气.