[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： N s0,Z#Z+  
F*@2)  

描述:请输入描述

图片:2.jpg

mN]WjfII  

关键点说几个： j
d
JTOT  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） zw15r" R  
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 C @<T(`o  
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 4Z%1eOR9V  

以下是几个重要的函数： 7BU7sQjs  
1.判断点在区域中函数 $?W2'Xm!V  
2.计算夹角函数 :5&D6  
3.转置函数 ?}8r h%  
4.得到区域中心点，及区域半径函数 `OMX
9i  
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） RVm-0[m}  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 q&z'S
 
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single .kFO@:  
   cax = x2 - x1 O>pX(DS L  
   cay = y2 - y1 bC
:sd2s  
   cbx = x2 - x3 sPZwA0%  
   cby = y2 - y3 ,on]Fts  
   mo_jj = cax * cbx + cay * cby 7oF3^K'S  
   mo_ca = Sqr(cax * cax + cay * cay) ^,I2@OS  
   mo_cb = Sqr(cbx * cbx + cby * cby) @U=y}vi8  
   cos_acb = mo_jj / (mo_ca * mo_cb) oH6zlmqG"  
   'ff_cos = cos_acb yC
1OeO8{  
   If cos_acb >= 1 Then "dIWHfQB  
   nn = 0 N,qo/At}R[  
   ElseIf cos_acb <= -1 Then 9#U]?^DJ@  
   nn = 3.14159265258979 nu+K N,3R"  
   Else `.pEI q^  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) &6OY^6<  
   End If R q@|o5O  
   'ff_angle = nn Z(|$[GZP[  
   ff_angle = nn * 180 / 3.14159265258979 YSGE@  
End Function

'判断点在区域内函数 &T,,fz$  
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 Ywhhs }f  
Dim aob, boc, cod, doa, sum As Single u|}\
Af  
  If ppx = p1x And ppy = p1y Then 0'*{BAWx  
     point_in = True m   uO.  
     Exit Function 5r 4~vK  
  End If H6`k%O*  
  If ppx = p2x And ppy = p2y Then #Q7:Mu+  
     point_in = True WMC^G2 n  
     Exit Function 8m' f8.x  
  End If KdozB!\  
   If ppx = p3x And ppy = p3y Then "W6cQsi  
     point_in = True zNo,PERG  
     Exit Function H][TH2H1  
  End If 5lHt~hB\  
     IQ\!wWKmY  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) wry`2_c  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) s3A(`heoq  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) f91]0B`C  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 
Td|,3 n  
    sum = aob + boc + cod + doa }Y!V3s1bm  
    If 360.01 > sum And sum > 359.99 Then |GQq:MB;z  
       point_in = True &cyB}Gv  
    Else DD
mC3  
       point_in = False (ww4(  
    End If 2i6=g<  
End Function

'得到点半径,得到交点坐标函数 gHp4q!SJ7  
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() qmpT G:+  
    '求得中心点坐标 R-pON4D"*  
Dim tt As String wE1GyN  
Dim rt(3) As Single hb8oq3*x  
    '判断是否平行 4Wz1O$*  
   acx = p3x - p1x ,s%+vD$O^  
   acy = p3y - p1y )2"g)9!  
   bdx = p4x - p2x *j83E[(]  
   bdy = p4y - p2y r:o9:w:  
   If acx * bdy = acy * bdx Then h
/C{  
      rt(0) = 0 [MAPa  
      Exit Function TVvE0y(9  
   Else ).,twf58  
      '判断斜率存在否 ]EF"QLNN(  
      If p1x = p3x And p2x <> p4x Then $Xo_8SX,  
         tt = "ac_n_bd_y" kPy7e~  
      ElseIf p1x <> p3x And p2x = p4x Then oD2
! [&  
         tt = "ac_y_bd_n" IW nG@!  
      ElseIf p1x <> p3x And p2x <> p4x Then tpzWi W/  
         tt = "ac_y_bd_y" hs+)a%A3G  
      End If hH>a{7V  
    Select Case tt >N! Xey  
         Case "ac_n_bd_y" qYe`</  
            'bd线段方程 0K"+u9D^  
            k_bd = bdy / bdx [%LGiCU]  
            b_bd = p2y - k_bd * p2x F',1R"/}  
            p_x = p1x cyd_xB5K  
            p_y = k_bd * p_x + b_bd P)y2'JKL  
         Case "ac_y_bd_n" s3ASA.*  
            'ac线段方程 >9nVR  
            k_ac = acy / acx ]D@aMC$#  
            b_ac = p1y - k_ac * p1x 9BOn8p;yz  
            p_x = p2x ByoI+n* U  
            p_y = k_ac * p_x + b_ac -|#/KKF  
        Case "ac_y_bd_y" \s8h.xjU  
           'ac，bd线段都要求 kQ\l7xd  
           k_ac = acy / acx cJm},  
           b_ac = p1y - k_ac * p1x B;Z _'.i,d  
           k_bd = bdy / bdx Q!-"5PX  
           b_bd = p2y - k_bd * p2x e"EGqn&!  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) _{if"  
           p_y = k_ac * p_x + b_ac -k>k<bDAI  
        End Select 4Z{R36 {  
      rt(1) = p_x Pj56,qd>s  
      rt(2) = p_y p `oB._ R  
     c;29GHs2  
'计算最大半径 yhK9rcJq6}  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) Y -BZV |  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) fUq}dAs*K  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) k%-y\WM  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) t,w/L*r+w  
Dim bb(5) As Single mOjjw_3gq  
  bb(1) = rr1 'q/C: Yo  
  bb(2) = rr2 b+AxTe("  
  bb(3) = rr3 N-}OmcO]e  
  bb(4) = rr4 .,thdqOO  
  nb = rr1
='Oxy  
For i = 1 To 4 [=-,i#4  
    If nb <= bb(i) Then M?gZKdj  
       nb = bb(i) D][I#vh  
    End If ze+S_{  
Next i ept:<!4  
    rt(0) = Sqr(nb) S._h->5f  
    rr = rt() %0815 5M  
  End If \Ym$to  
         02^\np  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ui^v.YCMI  

?Vr~~v"fg8  
有热压工艺方面的人才或者资料分享下； %{P." ki  
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 `VOLw*Ci  

高手真多！

楼主威武霸气.