[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： ][R
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关键点说几个： =lIG#{`Q  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） {MK.jw9/  
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 u Ey>7I  
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 z&!n'N<C  

以下是几个重要的函数： 6J3:[7k=&  
1.判断点在区域中函数 jr$
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2.计算夹角函数 +D ,Nd=/  
3.转置函数 .32]$v
x  
4.得到区域中心点，及区域半径函数 BfmSM9  
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） $`L!2  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 &m
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Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single V[&4Km9C  
   cax = x2 - x1 rp*f)rJ  
   cay = y2 - y1 1_}*aQ  
   cbx = x2 - x3 I"/p^@IX  
   cby = y2 - y3 yHS=8!
  
   mo_jj = cax * cbx + cay * cby U&W{;myt  
   mo_ca = Sqr(cax * cax + cay * cay) _&0_@  
   mo_cb = Sqr(cbx * cbx + cby * cby) YcJZG|[  
   cos_acb = mo_jj / (mo_ca * mo_cb) 7v9l+OX,6  
   'ff_cos = cos_acb [d+f#\ut  
   If cos_acb >= 1 Then )m .KV5K!  
   nn = 0 q'u^v PO  
   ElseIf cos_acb <= -1 Then p BU,"Yy&  
   nn = 3.14159265258979 YKF5|;}  
   Else !?t#QDo  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) bDh,r!I  
   End If B J,U,!  
   'ff_angle = nn "YY6_qQR'  
   ff_angle = nn * 180 / 3.14159265258979 Eg&oAY.U  
End Function

'判断点在区域内函数 ";:"p6?  
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 !JZ)6mtlr  
Dim aob, boc, cod, doa, sum As Single (of=hzT^?  
  If ppx = p1x And ppy = p1y Then N7/eF9  
     point_in = True l/|bU9o /u  
     Exit Function 1Yj^N"=  
  End If ;MD6iBD  
  If ppx = p2x And ppy = p2y Then /%W&zd
=%#  
     point_in = True Qx$CoY  
     Exit Function 4~;x(e@S  
  End If xl.iI$P  
   If ppx = p3x And ppy = p3y Then x'Uv;mGo  
     point_in = True  <B,z)c  
     Exit Function
# tN#_<W  
  End If `/WX!4eR,  
     NWK+.{s>m  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) '`.bmiM  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 6 w"-&  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) )_$F/ug  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) lLq9)+HGN  
    sum = aob + boc + cod + doa J|vriI;  
    If 360.01 > sum And sum > 359.99 Then lJe=z  
       point_in = True ==$>M d  
    Else 0taopDi;d  
       point_in = False VK7lm|J+  
    End If #dcfQ  
End Function

'得到点半径,得到交点坐标函数 6xLLIby,  
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() RgF5w<Vd.  
    '求得中心点坐标 IaDN[:SX  
Dim tt As String Rd4 z+G  
Dim rt(3) As Single A^:/*  
    '判断是否平行 Ucj eB  
   acx = p3x - p1x D_n(T')  
   acy = p3y - p1y ]`p*ZTr)\  
   bdx = p4x - p2x Us5P?}  
   bdy = p4y - p2y AD_aI %7  
   If acx * bdy = acy * bdx Then V(-=@UW  
      rt(0) = 0 4T]n64Yid  
      Exit Function d&z^u.SY  
   Else g\Ck!KJ/y  
      '判断斜率存在否 ?8{x/y:  
      If p1x = p3x And p2x <> p4x Then }]i re2j8  
         tt = "ac_n_bd_y"  4[\[Ho  
      ElseIf p1x <> p3x And p2x = p4x Then @wzzI 7}C  
         tt = "ac_y_bd_n" OPYl#3I  
      ElseIf p1x <> p3x And p2x <> p4x Then =wd=TX/  
         tt = "ac_y_bd_y" @zz4,,
]  
      End If GIo7- 6kvm  
    Select Case tt ,5tW|=0@  
         Case "ac_n_bd_y" ,-55*Rbi  
            'bd线段方程 H<gC{:S  
            k_bd = bdy / bdx 8&gr}r- 5  
            b_bd = p2y - k_bd * p2x @k"Q e&BQ  
            p_x = p1x ;QRnZqSv  
            p_y = k_bd * p_x + b_bd QX1rnVzg0  
         Case "ac_y_bd_n" U$-;^=;  
            'ac线段方程 SCXH{8SS  
            k_ac = acy / acx G;^},%<  
            b_ac = p1y - k_ac * p1x f{m,?[1C,  
            p_x = p2x ?9F_E+!  
            p_y = k_ac * p_x + b_ac `^mPq?f  
        Case "ac_y_bd_y" =\t%U5  
           'ac，bd线段都要求 i4',d#  
           k_ac = acy / acx 
J.R|Xd  
           b_ac = p1y - k_ac * p1x 9>@@W#TK~  
           k_bd = bdy / bdx XN*?<s3  
           b_bd = p2y - k_bd * p2x Rh=,]Y  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) \]@XY_21  
           p_y = k_ac * p_x + b_ac M/O4JZEqh  
        End Select fj/sN HU  
      rt(1) = p_x ?1DA  
      rt(2) = p_y 1;e"3x"  
     fV 6$YCf  
'计算最大半径 s8/sH];  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) f{} zqCK  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) {iz,iv/U  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ~+JEl%  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) |^uU&O;.  
Dim bb(5) As Single [<2#C#P:6  
  bb(1) = rr1 xaM? B7  
  bb(2) = rr2 $r>\y (W  
  bb(3) = rr3 k|O?
qE1hP  
  bb(4) = rr4 r-r)'AAO  
  nb = rr1 6:(R/9!P  
For i = 1 To 4 _tl,-}~  
    If nb <= bb(i) Then SO~]aFoYt  
       nb = bb(i) -G!W6$Y  
    End If Q|!}&=  
Next i V_>)m3zsL  
    rt(0) = Sqr(nb) stb)Tl^  
    rr = rt() gK`o;` ^  
  End If eHjna\C  
         *KDT0;/s  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  q{rc[ s?  

D]I]I!2c  
有热压工艺方面的人才或者资料分享下； 9Q!X~L|\S  
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 G8JwY\  

高手真多！

楼主威武霸气.