[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： 6'vi68  
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关键点说几个： W\a!Q]pV  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ac3_L$X[  
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 PMsC*U,oe  
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 <YSg~T  

以下是几个重要的函数： R^|!^[WE  
1.判断点在区域中函数 S>(z\`1qm  
2.计算夹角函数 4u7Cm  
3.转置函数 q'by
;g*m  
4.得到区域中心点，及区域半径函数 %5`r-F  
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）  Hl!1h%  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 /#@LRN<oCq  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single k"0%' Y  
   cax = x2 - x1 9x4wk*z  
   cay = y2 - y1 JXlTN[O  
   cbx = x2 - x3 )Kxs@F  
   cby = y2 - y3 RFhU#  
   mo_jj = cax * cbx + cay * cby ;B*L1'FF%t  
   mo_ca = Sqr(cax * cax + cay * cay) \f6lT3"VN  
   mo_cb = Sqr(cbx * cbx + cby * cby) <\+Po<)3j  
   cos_acb = mo_jj / (mo_ca * mo_cb) 3e#x)H/dr  
   'ff_cos = cos_acb zI1(F67d`  
   If cos_acb >= 1 Then %f_FGh  
   nn = 0 ]~$c~*0g  
   ElseIf cos_acb <= -1 Then md.*  
   nn = 3.14159265258979 ?`za-+<r<  
   Else L,f^mX0<  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) fF\*v  
   End If GOUY_&}tL  
   'ff_angle = nn ZCj>MA  
   ff_angle = nn * 180 / 3.14159265258979 Rd`{qW  
End Function

'判断点在区域内函数 Sn;/;^@(\  
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 L%TxP6z4A  
Dim aob, boc, cod, doa, sum As Single \Mobq  
  If ppx = p1x And ppy = p1y Then l=Vowx.$2f  
     point_in = True  "Nk`RsW  
     Exit Function ?FkQe~FN{  
  End If Lr!L}
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  If ppx = p2x And ppy = p2y Then WiPM <'  
     point_in = True BiVd k
a  
     Exit Function H[>klzh6 !  
  End If $}^Rsv(  
   If ppx = p3x And ppy = p3y Then .Y=Z!Q  
     point_in = True 8Cf^$   
     Exit Function |;xfe"]  
  End If D4YT33$tC  
     )Mm;9
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    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) >\^N\&  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 4WBoZJ  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) mtiO7w"M\7  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) dVY(V&p  
    sum = aob + boc + cod + doa fRca"vV  
    If 360.01 > sum And sum > 359.99 Then CDwFVR'_Af  
       point_in = True X^?|Sz<^E  
    Else .j'@K+<45  
       point_in = False s!nSE  
    End If nN(D7wk  
End Function

'得到点半径,得到交点坐标函数 B6Wq/fl/  
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() 5<:VJC<  
    '求得中心点坐标 <IHFD^3|j  
Dim tt As String Nv*E .|G  
Dim rt(3) As Single 76u/WC>B  
    '判断是否平行 1OfSq1G>v$  
   acx = p3x - p1x 6B!j(R  
   acy = p3y - p1y Bp=oTCG  
   bdx = p4x - p2x TCEXa?,L  
   bdy = p4y - p2y {8*d;[X50  
   If acx * bdy = acy * bdx Then !?us[f=g%  
      rt(0) = 0
\r1kbf7?  
      Exit Function J;Z>fAE7  
   Else &?5{z
\;1"  
      '判断斜率存在否 } Khq  
      If p1x = p3x And p2x <> p4x Then R|Q_W X  
         tt = "ac_n_bd_y" 7am/X.  
      ElseIf p1x <> p3x And p2x = p4x Then 67KRM(S  
         tt = "ac_y_bd_n" + 8K1]'t$  
      ElseIf p1x <> p3x And p2x <> p4x Then ,:dEEL+>c  
         tt = "ac_y_bd_y" cA (e"N  
      End If [Q.4]K2  
    Select Case tt F`ZIc7(.{  
         Case "ac_n_bd_y" ftI+#0?[!  
            'bd线段方程 Aa\=7  
            k_bd = bdy / bdx 7gdU9c/q,  
            b_bd = p2y - k_bd * p2x skC|io-Zv  
            p_x = p1x >b!X&JU  
            p_y = k_bd * p_x + b_bd f2
w=ln  
         Case "ac_y_bd_n" gw&#X~em  
            'ac线段方程 33,JUQ2u  
            k_ac = acy / acx 9Sj:nn^/u  
            b_ac = p1y - k_ac * p1x 8.;';[  
            p_x = p2x 8t*%q+Z  
            p_y = k_ac * p_x + b_ac ek;&<Z_ ]  
        Case "ac_y_bd_y" ah!O&ECh  
           'ac，bd线段都要求 5[j!\d}U  
           k_ac = acy / acx
0Z);.l^  
           b_ac = p1y - k_ac * p1x %&=(,;d  
           k_bd = bdy / bdx (Q+:N;  
           b_bd = p2y - k_bd * p2x _{Q?VQvZ  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ,wb|?
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           p_y = k_ac * p_x + b_ac Oih2UrF  
        End Select ,O&PLr8cJ?  
      rt(1) = p_x 
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      rt(2) = p_y w#G=Z_Tt  
     4gkV]" H!  
'计算最大半径 Jr>S/]"  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) i\Q"a B"r  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) b#I*~  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) iP?
ASqo{  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 4xpWO6Q  
Dim bb(5) As Single :kiO  
  bb(1) = rr1 QY\wQjwuW  
  bb(2) = rr2 >K|GLP  
  bb(3) = rr3 7U[L\1zS  
  bb(4) = rr4 h3d\MYO)B  
  nb = rr1 noUZ9M|hz  
For i = 1 To 4 $Z%aGc*  
    If nb <= bb(i) Then L]}RSE2  
       nb = bb(i) xm10  
    End If tj^:SW.0  
Next i gy
,TT<1)  
    rt(0) = Sqr(nb) R,5$ 0_]|+  
    rr = rt() o?O,nD 6  
  End If mv%:[+!  
         >5@vY?QXO  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  "3oU (RA  

:@Dos'0Px  
有热压工艺方面的人才或者资料分享下； dsZ( D:)  
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 ?[B[ F  

高手真多！

楼主威武霸气.