[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： G}'\  
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关键点说几个： ]goPjfWvU"  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） lFc^y  
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"v)9p  
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 7iH%1f  

以下是几个重要的函数： a O(&<  
1.判断点在区域中函数 S(hT3MAW  
2.计算夹角函数 #e$vv!&}  
3.转置函数 0J1&6b  
4.得到区域中心点，及区域半径函数 78FK{Cr  
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） :.W</o~\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 c$R<j'7  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single Ia*T*qJu  
   cax = x2 - x1 ]Kp -2KW
  
   cay = y2 - y1 2B=+p83<  
   cbx = x2 - x3 t$b{zv9C  
   cby = y2 - y3 ? -`8w _3  
   mo_jj = cax * cbx + cay * cby -5Ln3\ O@  
   mo_ca = Sqr(cax * cax + cay * cay) &8QkGUbS<  
   mo_cb = Sqr(cbx * cbx + cby * cby) >&uR=Yd  
   cos_acb = mo_jj / (mo_ca * mo_cb) $D(q  
   'ff_cos = cos_acb %scQP{%aD  
   If cos_acb >= 1 Then <5sP%Fs)  
   nn = 0 @7OE:& #V  
   ElseIf cos_acb <= -1 Then $O^U"  
   nn = 3.14159265258979 -Oc  
   Else y'U-y"7y  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) !jyy`q=  
   End If bDM;7fFp$  
   'ff_angle = nn #=aTSw X  
   ff_angle = nn * 180 / 3.14159265258979 PZO8<d  
End Function

'判断点在区域内函数 F`JW&r\  
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 }tUr V  
Dim aob, boc, cod, doa, sum As Single #EX NSr  
  If ppx = p1x And ppy = p1y Then gWHjI3;  
     point_in = True s.jcD  
     Exit Function =!P$[pN2  
  End If [,|;rt\o>  
  If ppx = p2x And ppy = p2y Then P_%kYcX'  
     point_in = True oAxCI/  
     Exit Function FpFkZFtG'm  
  End If 299uZz}Y  
   If ppx = p3x And ppy = p3y Then 4+4C0/$Y  
     point_in = True qBXIR}  
     Exit Function W,sPg\G 3  
  End If :tcqb2p  
     QKtVwsz +  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) K
{[N.dX(  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) EGJrnz8  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) xzOM\Nq?O  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) TrmrA$5f  
    sum = aob + boc + cod + doa DYaOlT(rE  
    If 360.01 > sum And sum > 359.99 Then /H<tv5mXJ  
       point_in = True [eO6H2@=z  
    Else RL~]mI!U  
       point_in = False &1,{.:@e  
    End If 8$y5) ~Q  
End Function

'得到点半径,得到交点坐标函数 { K*  
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() LP:F'Q:<  
    '求得中心点坐标 hT?|:!ED.F  
Dim tt As String ?-D'xqc  
Dim rt(3) As Single BhCOT+i;c  
    '判断是否平行 );oE^3]f  
   acx = p3x - p1x U.p"JSH L  
   acy = p3y - p1y `as6IMqJD  
   bdx = p4x - p2x ^muPjM+D  
   bdy = p4y - p2y %:/?eZ  
   If acx * bdy = acy * bdx Then ]aTF0 R  
      rt(0) = 0 ;Br #e1~  
      Exit Function jRYW3a_7  
   Else 66%4p%#b4  
      '判断斜率存在否 diDB>W  
      If p1x = p3x And p2x <> p4x Then U<jAZU[L  
         tt = "ac_n_bd_y" qjI.Sr70  
      ElseIf p1x <> p3x And p2x = p4x Then h1jEulcMtq  
         tt = "ac_y_bd_n" vfP
IC!  
      ElseIf p1x <> p3x And p2x <> p4x Then %m?$"<q_K  
         tt = "ac_y_bd_y" -/3D0`R  
      End If ,R2;oF_  
    Select Case tt :to1%6  
         Case "ac_n_bd_y" @w{"6xc%a  
            'bd线段方程
8KyF0r?  
            k_bd = bdy / bdx ;
/=6~%  
            b_bd = p2y - k_bd * p2x i*2l4  
            p_x = p1x ]0@ 06G(y  
            p_y = k_bd * p_x + b_bd Bl!R bh\  
         Case "ac_y_bd_n"
*J|]E(  
            'ac线段方程 %% A==_b  
            k_ac = acy / acx ZtH
{2j0  
            b_ac = p1y - k_ac * p1x Gn}^BJN  
            p_x = p2x AxZaV;%*  
            p_y = k_ac * p_x + b_ac kb2M3%6V  
        Case "ac_y_bd_y" =%ZR0cWPoI  
           'ac，bd线段都要求 [[gfR'79{  
           k_ac = acy / acx SvN2}]Kh  
           b_ac = p1y - k_ac * p1x WpPI6bd  
           k_bd = bdy / bdx !j-JMa?  
           b_bd = p2y - k_bd * p2x .BjnV%l7Id  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) fZF.eRP'  
           p_y = k_ac * p_x + b_ac TU}./b@F  
        End Select 1./iF>*A  
      rt(1) = p_x &=`6- J  
      rt(2) = p_y WSV[)-=:  
     z;+LU6V  
'计算最大半径 <9yB& ^  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) c?XqSK`',Z  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) :Co+haW  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) #xTu {  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) d6ABgQi0  
Dim bb(5) As Single ; 6*Ag#Z  
  bb(1) = rr1 F|&=\Q  
  bb(2) = rr2 ;/|3U7{c  
  bb(3) = rr3 #,PB(  
  bb(4) = rr4 $G@^!(  
  nb = rr1 7R5!(g  
For i = 1 To 4 #23m_w^L  
    If nb <= bb(i) Then f+W8Gszi  
       nb = bb(i) XbMAcgS  
    End If 2#g4R  
Next i d0CFMy6  
    rt(0) = Sqr(nb) n,.t~  
    rr = rt() ^#)M,.G^  
  End If c`x[C  
         v'X=|$75  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  :x<'>)6  

x3>PM]r(V  
有热压工艺方面的人才或者资料分享下； %95'oW)lo  
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 cjel6 nj  

高手真多！

楼主威武霸气.