[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： 7(nz<z p  
,=q7}5o Y  

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图片:2.jpg

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关键点说几个： 6qHvq A
,  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） TS~Y\Cp  
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 b;~EJ  
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 {C,1w  

以下是几个重要的函数： ,nu7r1}  
1.判断点在区域中函数 J:TI>*tn  
2.计算夹角函数 IW] 841  
3.转置函数 _]PfeCn:j  
4.得到区域中心点，及区域半径函数 T$N08aju#  
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） 8ZDqqz^C0  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 KiRt'  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single MIXrLh3  
   cax = x2 - x1 dc@wf;o  
   cay = y2 - y1 T~ q'y~9o  
   cbx = x2 - x3 glKs8^W  
   cby = y2 - y3 O^="T^J  
   mo_jj = cax * cbx + cay * cby y\f8Ird  
   mo_ca = Sqr(cax * cax + cay * cay) )hZ}$P1  
   mo_cb = Sqr(cbx * cbx + cby * cby) OTtanJ?  
   cos_acb = mo_jj / (mo_ca * mo_cb)
\qd)l  
   'ff_cos = cos_acb .T$9Q Ar5  
   If cos_acb >= 1 Then 9{^B Tc  
   nn = 0 r|H!s
,  
   ElseIf cos_acb <= -1 Then %_J/&{6G  
   nn = 3.14159265258979 $j4?'-i=e  
   Else ]v,y(yl  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) E#X!*q&  
   End If Y
*X6lo  
   'ff_angle = nn bHo?Rw!.  
   ff_angle = nn * 180 / 3.14159265258979 f}9`iN=k  
End Function

'判断点在区域内函数 xfV2/A#h  
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 P9cI{RI  
Dim aob, boc, cod, doa, sum As Single &i}cC4i   
  If ppx = p1x And ppy = p1y Then (i~%4w=  
     point_in = True o!dkS/u-m  
     Exit Function 1bAp{u&  
  End If 8; N
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  If ppx = p2x And ppy = p2y Then +CHO0n  
     point_in = True 8lb `   
     Exit Function 21
k-ob1Y  
  End If F^v{Jqc  
   If ppx = p3x And ppy = p3y Then 
#Q)w$WR  
     point_in = True X1~A "sW[  
     Exit Function  D)eKq!_  
  End If }8KL]11b  
    

z+B  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) "'dC>7*<  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) kK6>>lD'  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) +fR`@HI  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) v+2qR0,LM  
    sum = aob + boc + cod + doa ba1QFzN  
    If 360.01 > sum And sum > 359.99 Then rG%_O$_dO  
       point_in = True 2&f=4b`Z  
    Else 5GpK
X  
       point_in = False (c7{dYV  
    End If -Z&{$J  
End Function

'得到点半径,得到交点坐标函数 gV>\lMc[-%  
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() W8rn8Rh  
    '求得中心点坐标 .F|WQ7Mu  
Dim tt As String TBp5xz`  
Dim rt(3) As Single a8U2c;  
    '判断是否平行 J}u1\Id%  
   acx = p3x - p1x 3CRBu:)m  
   acy = p3y - p1y tzN;;h4C  
   bdx = p4x - p2x #iU/Yg!  
   bdy = p4y - p2y e;3 (,  
   If acx * bdy = acy * bdx Then ?
m^7O_1  
      rt(0) = 0 N4N
H)x  
      Exit Function h--!pE+  
   Else \kO_"{7n  
      '判断斜率存在否 w`_9*AF9  
      If p1x = p3x And p2x <> p4x Then pLcng
[  
         tt = "ac_n_bd_y"  ]bSt[  
      ElseIf p1x <> p3x And p2x = p4x Then $KFWV2P  
         tt = "ac_y_bd_n" 5!%/j,?  
      ElseIf p1x <> p3x And p2x <> p4x Then aE$p;I  
         tt = "ac_y_bd_y" $ wB  
      End If *(IO<KAg8  
    Select Case tt %Qb
r
Vl+  
         Case "ac_n_bd_y" e.H"!X!0#H  
            'bd线段方程 (#Aq*2Z.  
            k_bd = bdy / bdx U.x.gZRo[  
            b_bd = p2y - k_bd * p2x l<6/ADuS  
            p_x = p1x Uij$ eBN  
            p_y = k_bd * p_x + b_bd gJ7puN  
         Case "ac_y_bd_n" }y/t~f+  
            'ac线段方程 *?'T8yf^  
            k_ac = acy / acx \H(,'w7H  
            b_ac = p1y - k_ac * p1x :gtwvM7/B  
            p_x = p2x B!anY}/U  
            p_y = k_ac * p_x + b_ac ?A>-_B  
        Case "ac_y_bd_y" RwKN  
           'ac，bd线段都要求 ;_ton?bF  
           k_ac = acy / acx eL!6}y}W  
           b_ac = p1y - k_ac * p1x de=T7,G#  
           k_bd = bdy / bdx jd*H$BU^  
           b_bd = p2y - k_bd * p2x \O~P !`  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) aQ. \!&U  
           p_y = k_ac * p_x + b_ac >6q@Tr  
        End Select V5w^Le_^  
      rt(1) = p_x H[Cn@XE  
      rt(2) = p_y w6 .HvH-@?  
     q[ZYlF,Ho  
'计算最大半径 VPbN
Li  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 'fsOKx4Z  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) E~Nr4vq  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) HC+R:Dz  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 'l;|t"R12  
Dim bb(5) As Single uy~j$lrn  
  bb(1) = rr1 v/dcb%  
  bb(2) = rr2 oJy/PR3  
  bb(3) = rr3 <s>SnOD  
  bb(4) = rr4 gy.; "W  
  nb = rr1 R,lr&;a8  
For i = 1 To 4 &s5*akG  
    If nb <= bb(i) Then =JkSq J)?  
       nb = bb(i) '%N p9Iqt  
    End If I%Z&i-33y  
Next i Iq*7F5B  
    rt(0) = Sqr(nb) [<hiOB  
    rr = rt() B7;MY6h#  
  End If 7=9jXNk Y  
         aHw VoT  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ,PB?
pp8C}  

/w|YNDA]j  
有热压工艺方面的人才或者资料分享下； fRbVc  
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 N7[~Y2i  

高手真多！

楼主威武霸气.