[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： z(O*DwY#  
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关键点说几个： iGj
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1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） :nqDX  
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 67}8EV!/k  
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 S7cD}yx*[  

以下是几个重要的函数： ^Dfqc-]  
1.判断点在区域中函数 )NZ&m$I|-  
2.计算夹角函数 5OOXCtIKf  
3.转置函数 &n83>Q  
4.得到区域中心点，及区域半径函数 !&@t  
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） P&Xy6@%[Z  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 XIM?$p^  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 33hP/p%  
   cax = x2 - x1 F<2gM#jLB  
   cay = y2 - y1 ~Z#\f5yv@  
   cbx = x2 - x3 SwrzW'%A  
   cby = y2 - y3  _qt  
   mo_jj = cax * cbx + cay * cby | ObA=[j  
   mo_ca = Sqr(cax * cax + cay * cay) vZ=dlu_t  
   mo_cb = Sqr(cbx * cbx + cby * cby) ^tjM1uaZ5(  
   cos_acb = mo_jj / (mo_ca * mo_cb) %/s+-j@s:  
   'ff_cos = cos_acb
EF 8rh  
   If cos_acb >= 1 Then 'Q*lp!2>  
   nn = 0 ?$/W3Xn0%  
   ElseIf cos_acb <= -1 Then 0\"]XYOH  
   nn = 3.14159265258979 5g9K|-  
   Else iy_3#x5>  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) uBM%E OE  
   End If su8()]|0x  
   'ff_angle = nn 6"+bCx0:  
   ff_angle = nn * 180 / 3.14159265258979 ?#ywUEY* i  
End Function

'判断点在区域内函数 !
JjNm*F[  
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 lOIf4  
Dim aob, boc, cod, doa, sum As Single R}OjSiS\  
  If ppx = p1x And ppy = p1y Then dW|S\
S'&  
     point_in = True >-CNHb  
     Exit Function h~&5;  
  End If C7 9~@%T  
  If ppx = p2x And ppy = p2y Then )OQih+#?W  
     point_in = True P[Id[}5Pw  
     Exit Function :C#(yp  
  End If Reg%ah|$/=  
   If ppx = p3x And ppy = p3y Then %i.;~>  
     point_in = True 9NC'iFQ#  
     Exit Function Qu|<1CrZj]  
  End If c 9zMI  
     P;p20+  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) Z&J.8A]L  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) "Za
'K+4  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) /JP%gD"8  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) )TkXdA?.  
    sum = aob + boc + cod + doa 0 |Rmb  
    If 360.01 > sum And sum > 359.99 Then cbX<  
       point_in = True L'x[wM0w;  
    Else <%LN3T  
       point_in = False gG,gL9o  
    End If m'L8z fX  
End Function

'得到点半径,得到交点坐标函数 ,*{9g6  
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() #,\qjY  
    '求得中心点坐标 ':?MFkYC  
Dim tt As String J[4IO  
Dim rt(3) As Single /AUXO]  
    '判断是否平行 EN@
Pr `R  
   acx = p3x - p1x 7V7iIbi  
   acy = p3y - p1y )?,X\/5  
   bdx = p4x - p2x Qj/.x#T  
   bdy = p4y - p2y L[p[m~HjG^  
   If acx * bdy = acy * bdx Then `1U?^9Nf  
      rt(0) = 0 3h>56{P  
      Exit Function Qf(mn8  
   Else =jW=Z$3q  
      '判断斜率存在否 p |xMXoa`  
      If p1x = p3x And p2x <> p4x Then OLgW.j:Ag  
         tt = "ac_n_bd_y" 4l"oq"uc  
      ElseIf p1x <> p3x And p2x = p4x Then %DF-;M"8  
         tt = "ac_y_bd_n" @m(ja@YC  
      ElseIf p1x <> p3x And p2x <> p4x Then |a[Id  
         tt = "ac_y_bd_y" uMM?s?q  
      End If !TdbD56  
    Select Case tt xO` O$ie  
         Case "ac_n_bd_y" {qjw  S1v  
            'bd线段方程 bG[)r  
            k_bd = bdy / bdx *u`[2xmuYf  
            b_bd = p2y - k_bd * p2x vB T]a  
            p_x = p1x m%G:|`f7  
            p_y = k_bd * p_x + b_bd BF(.^oh"n0  
         Case "ac_y_bd_n" fp2.2 @[  
            'ac线段方程 sas:5iB5  
            k_ac = acy / acx d
#]XyN>  
            b_ac = p1y - k_ac * p1x *1clPK  
            p_x = p2x Dwp-*QK^G  
            p_y = k_ac * p_x + b_ac Hwm]l`E]  
        Case "ac_y_bd_y" ~xaPq=AH  
           'ac，bd线段都要求 #99fFs`w  
           k_ac = acy / acx zd+<1R;  
           b_ac = p1y - k_ac * p1x 1{7*0cv$iL  
           k_bd = bdy / bdx ;/]vmgl2  
           b_bd = p2y - k_bd * p2x bB`p-1  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) TbPTgE *  
           p_y = k_ac * p_x + b_ac kw Iw=8q~  
        End Select aR}L- -m  
      rt(1) = p_x ?#rejA:  
      rt(2) = p_y 3BWYSJ|  
     PQFr4EY?i  
'计算最大半径 z7'C;I  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) \9GJa"xA`  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) QCvz|)  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) F7~T=X)1
 
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ?$&iVN^UA  
Dim bb(5) As Single r.T!R6v}  
  bb(1) = rr1 8KU5x#  
  bb(2) = rr2 pAd 8-a  
  bb(3) = rr3 "TboIABp:H  
  bb(4) = rr4 LmQS;/:  
  nb = rr1 0pu=,  
For i = 1 To 4 K~B@8az  
    If nb <= bb(i) Then Pa-p9]gq  
       nb = bb(i) @3F4Lg6H|  
    End If xmI!N0eta  
Next i orcPKCz|"  
    rt(0) = Sqr(nb) i{ " g7  
    rr = rt() k&h3"  
  End If {BA1C (  
         ev_4!+ko  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  *Z+8L*k97  

PW[NW-S`c  
有热压工艺方面的人才或者资料分享下； ^WZcM#~TL  
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 v7i5R !  

高手真多！

楼主威武霸气.