[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： F+R?a+e  
$mf u:tbP  
Q!- 0xlx  

关键点说几个： ]7-&V-Ct*  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） "$s~SIUB  
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 :0Z^uuk`gq  
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 "KcA  

以下是几个重要的函数： gV&z2S~"  
1.判断点在区域中函数 5 ae2<Y=  
2.计算夹角函数 A?Bif;  
3.转置函数 u2 `b'R9  
4.得到区域中心点，及区域半径函数 y:v,j42%  
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） gZ5[ C  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 /x3/Ubmz~x  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single q^6+!&"  
   cax = x2 - x1 L(X6-M:  
   cay = y2 - y1 |_ua
S  
   cbx = x2 - x3 'Ei;^Y 1e  
   cby = y2 - y3 b!M"VDjQ  
   mo_jj = cax * cbx + cay * cby 7FRmx4(!  
   mo_ca = Sqr(cax * cax + cay * cay) ~c6}
 
   mo_cb = Sqr(cbx * cbx + cby * cby) ^ns@O+Fk  
   cos_acb = mo_jj / (mo_ca * mo_cb) {rcnM7 S1L  
   'ff_cos = cos_acb ]9\!;Bz^J  
   If cos_acb >= 1 Then >}(CEzc8  
   nn = 0 #-h\.#s  
   ElseIf cos_acb <= -1 Then kI%%i>Y}  
   nn = 3.14159265258979 k}~O}~-  
   Else mFHH515  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) jsNF#
yE>  
   End If PTj&3`
v  
   'ff_angle = nn [Y`,qB<B  
   ff_angle = nn * 180 / 3.14159265258979 ~F1:N>>_Cf  
End Function

'判断点在区域内函数 s`#(   
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 csfgJ^n  
Dim aob, boc, cod, doa, sum As Single s@fTj$h  
  If ppx = p1x And ppy = p1y Then *3D%<kVl  
     point_in = True , lJv  
     Exit Function  YBnA+l*  
  End If `%j~|i
)4  
  If ppx = p2x And ppy = p2y Then `)QCn<  
     point_in = True frBX{L  
     Exit Function I2H6y"pN  
  End If +S=R
n,  
   If ppx = p3x And ppy = p3y Then pC_O:f>vJ  
     point_in = True 'TAUE{{  
     Exit Function ?-Vjha@BO  
  End If "]-Xmdk09  
     ~@kU3ZGJZ  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) ~xoF6CF  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) wfjnA~1h  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) N:9>dpP}O  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 8#Q$zLK42N  
    sum = aob + boc + cod + doa U"50_O  
    If 360.01 > sum And sum > 359.99 Then ?MQ.% J  
       point_in = True l9M0cZ,  
    Else aj}(E+  
       point_in = False xz:J  
    End If |`;54_f  
End Function

'得到点半径,得到交点坐标函数 R-P-i0~  
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()  ;vb8G$  
    '求得中心点坐标  kQ  
Dim tt As String ,<2DLp%%D  
Dim rt(3) As Single 5K?}}Frrt`  
    '判断是否平行 XbQlHfrS  
   acx = p3x - p1x o`.R!wm:W  
   acy = p3y - p1y Q#EP|  
   bdx = p4x - p2x r `eU~7  
   bdy = p4y - p2y $O^v]>h  
   If acx * bdy = acy * bdx Then x1ztfJd  
      rt(0) = 0 B*gdgM*`  
      Exit Function q5L51KP2  
   Else 5cWw7V<m  
      '判断斜率存在否 $u/E\l  
      If p1x = p3x And p2x <> p4x Then lKgKtQpi  
         tt = "ac_n_bd_y" 1 tR_8lC  
      ElseIf p1x <> p3x And p2x = p4x Then S'HnBn /  
         tt = "ac_y_bd_n" CwJDmz\tk  
      ElseIf p1x <> p3x And p2x <> p4x Then 'u` .P:u?  
         tt = "ac_y_bd_y" > 0<)=  
      End If i>_u_)-  
    Select Case tt 8KH\`
5<  
         Case "ac_n_bd_y" i{I~mrm/'\  
            'bd线段方程 98.>e  
            k_bd = bdy / bdx gqWupL  
            b_bd = p2y - k_bd * p2x `|Or{ih  
            p_x = p1x vp(;W,ba:|  
            p_y = k_bd * p_x + b_bd al20V  
         Case "ac_y_bd_n" {6oE0;2o'  
            'ac线段方程 $
TI5vhQ  
            k_ac = acy / acx A 8 vbQ  
            b_ac = p1y - k_ac * p1x
x}twsc`  
            p_x = p2x eX_D/25 $  
            p_y = k_ac * p_x + b_ac b}Zd)2G  
        Case "ac_y_bd_y" q:<{% U$  
           'ac，bd线段都要求 ujJI 1I  
           k_ac = acy / acx fQP{|+4  
           b_ac = p1y - k_ac * p1x }(<%`G6N  
           k_bd = bdy / bdx C4}*)a  
           b_bd = p2y - k_bd * p2x }y%oT P&  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) !p1qJ
[  
           p_y = k_ac * p_x + b_ac V_Wwrhua  
        End Select SwU\ q]^|Z  
      rt(1) = p_x 7$rjlVe  
      rt(2) = p_y -WQ^gcO=7  
     ]QuM<ms  
'计算最大半径 Z/ Tm)Xd
 
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) wKH ::!  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 2y%,p{="  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) l$hJE;n  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) >Yt/]ta4+  
Dim bb(5) As Single ;=? ~ -_  
  bb(1) = rr1 KLX/O1B  
  bb(2) = rr2 \u&_sBLKV  
  bb(3) = rr3 4^
<6r*  
  bb(4) = rr4 %_
UN<a  
  nb = rr1 0<TD/1wN  
For i = 1 To 4 ;}z\i  
    If nb <= bb(i) Then -LM
;
}<  
       nb = bb(i) ?:Y#Tbi3  
    End If MC&\bf  
Next i Uje|`<X  
    rt(0) = Sqr(nb) Zatf9yGD  
    rr = rt() )NR Q2  
  End If VxzkQ}o  
        
z_ =Bt  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  G%u9+XV1#  

x|eeRf|  
有热压工艺方面的人才或者资料分享下； A>.2OC+  
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 @tRMe64  

高手真多！

楼主威武霸气.