[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$uW0ol  
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关键点说几个： ?qd,>  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） $zk^yumdE  
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 ,2 zt.aqB  
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 9SRfjS{7  

以下是几个重要的函数： I! h(`  
1.判断点在区域中函数 $$haVY&  
2.计算夹角函数 U}tl_5%)  
3.转置函数 `3f_d}b  
4.得到区域中心点，及区域半径函数 kZV^F*7  
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） CCbkxHMf|!  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 Sg-g^dIN1  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single I\}|Y+C$d/  
   cax = x2 - x1 gKmX^A5<  
   cay = y2 - y1 7cIC&(h5  
   cbx = x2 - x3 2{Wo-B,wt~  
   cby = y2 - y3 xj0cgK|!  
   mo_jj = cax * cbx + cay * cby cqeR<len  
   mo_ca = Sqr(cax * cax + cay * cay) +O)]^"TG  
   mo_cb = Sqr(cbx * cbx + cby * cby) @@'nit  
   cos_acb = mo_jj / (mo_ca * mo_cb) T#\p%w9d  
   'ff_cos = cos_acb  DZ^=*.  
   If cos_acb >= 1 Then c]6V"Bo}A  
   nn = 0 'Pf_5q  
   ElseIf cos_acb <= -1 Then ?QGm
oQ)  
   nn = 3.14159265258979 xKY$L*  
   Else wb]*u7G t/  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Y.q>EUSH  
   End If }KK2WJp#M  
   'ff_angle = nn XR|"dbZW.0  
   ff_angle = nn * 180 / 3.14159265258979 }ppVR$7]0  
End Function

'判断点在区域内函数 wa" uFW  
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 2 #KoN8%  
Dim aob, boc, cod, doa, sum As Single &} ,*\Oj  
  If ppx = p1x And ppy = p1y Then 5^>n5u/  
     point_in = True 9SY(EL  
     Exit Function k_!+V`Ro#  
  End If tevQW  
  If ppx = p2x And ppy = p2y Then ^\:yf.k  
     point_in = True Y~az!8j;Z  
     Exit Function &Cq{ _M  
  End If ^;zWWg/d  
   If ppx = p3x And ppy = p3y Then y?>#t^  
     point_in = True sAVefL?  
     Exit Function ,>u=gA&}  
  End If ob'n{T+lZ  
     PRD_!VOW  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) +3Y!xD?=  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) +e'X;  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) !h>D;k6 e  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 1~'_K9eE  
    sum = aob + boc + cod + doa %fv)7 CRM  
    If 360.01 > sum And sum > 359.99 Then {rC~P  
       point_in = True -u|l}}b
h  
    Else %,|ztH/ Q  
       point_in = False !qA8Zky_  
    End If X2gz6|WJ  
End Function

'得到点半径,得到交点坐标函数 Pr+~Kif  
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() B wC+o
v=  
    '求得中心点坐标 `5'2Hg+  
Dim tt As String m_*R.a  
Dim rt(3) As Single ioV_oR9I  
    '判断是否平行 dn,gZ"<  
   acx = p3x - p1x kX[fy7rVt  
   acy = p3y - p1y ~O: U|&  
   bdx = p4x - p2x '# z]M  
   bdy = p4y - p2y >|3a 9S  
   If acx * bdy = acy * bdx Then )`8pd 7<.  
      rt(0) = 0 D|_V<'  
      Exit Function NP/>H9Q2%  
   Else %6ub3PLw8  
      '判断斜率存在否 gLQ #4H  
      If p1x = p3x And p2x <> p4x Then 3]U]?h  
         tt = "ac_n_bd_y" +y&d;0!  
      ElseIf p1x <> p3x And p2x = p4x Then 8~ #M{}  
         tt = "ac_y_bd_n" @(:v_l  
      ElseIf p1x <> p3x And p2x <> p4x Then )ofm_R'q*  
         tt = "ac_y_bd_y" ? _<[T  
      End If }q!_!q,@  
    Select Case tt 0xpx(T[  
         Case "ac_n_bd_y" ip``v0Nf  
            'bd线段方程 - 8bNQU  
            k_bd = bdy / bdx MJ\[Dt  
            b_bd = p2y - k_bd * p2x WM,i:P)b  
            p_x = p1x A+ 
0,i  
            p_y = k_bd * p_x + b_bd d~*TIN8Ke~  
         Case "ac_y_bd_n" /smiopFcq  
            'ac线段方程 Lw*]EG|?  
            k_ac = acy / acx u+D[_yd^  
            b_ac = p1y - k_ac * p1x /\=MBUN  
            p_x = p2x 0{) $SY  
            p_y = k_ac * p_x + b_ac v-`h>J!Nx  
        Case "ac_y_bd_y" 7@~tVxB;  
           'ac，bd线段都要求 7Kf}O6nE  
           k_ac = acy / acx cDV^8 R  
           b_ac = p1y - k_ac * p1x :0^s0l  
           k_bd = bdy / bdx 2cf' ,cv@8  
           b_bd = p2y - k_bd * p2x rt4Z;  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) lBA+zZ  
           p_y = k_ac * p_x + b_ac 9z ?7{2C  
        End Select .L;@=Yg)  
      rt(1) = p_x ;sPzOS9  
      rt(2) = p_y *'R#4@wmP  
     M>l^%`  
'计算最大半径 H?yE3w  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 2 x4=  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) `v nJ4*  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ~}%~oT  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 1u}nm;3  
Dim bb(5) As Single vtxvS3   
  bb(1) = rr1 2KI!
af[I  
  bb(2) = rr2 m)&znLA
 
  bb(3) = rr3 ftZj}|R!  
  bb(4) = rr4 HDIk9WC^  
  nb = rr1 5bX6#5uP1  
For i = 1 To 4 9E1W|KE  
    If nb <= bb(i) Then GAEO$e:  
       nb = bb(i) H+ZSPHs  
    End If >q7 %UK]&  
Next i 9=+-QdX+0]  
    rt(0) = Sqr(nb) rwqv V^  
    rr = rt() KN[d!}W:  
  End If |4b)>8TL/  
         ?Zcj}e.r  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  (.X]F_*sc  

tJD] (F  
有热压工艺方面的人才或者资料分享下； Wk7WK` >i  
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 :d' 5O8  

高手真多！

楼主威武霸气.