[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：  UTHGjE  
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图片:2.jpg

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关键点说几个： ft?J|AG  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） j]M$>2;  
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 GwxfnCKi9  
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 KZsSTB6J  

以下是几个重要的函数： 6- s/\  
1.判断点在区域中函数 g()YP  
2.计算夹角函数 [ !].G=8  
3.转置函数 Bd31> %6  
4.得到区域中心点，及区域半径函数 O{%yO=`r  
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） ||0mfb  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 ;S
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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 dE%rQE7'  
   cax = x2 - x1 l _dWS9  
   cay = y2 - y1 g-bHf]'  
   cbx = x2 - x3 UQ}[2x(Kb  
   cby = y2 - y3 xKv\z1ra  
   mo_jj = cax * cbx + cay * cby T9}G:6  
   mo_ca = Sqr(cax * cax + cay * cay) e)zE*9  
   mo_cb = Sqr(cbx * cbx + cby * cby) p?>(y  
   cos_acb = mo_jj / (mo_ca * mo_cb) @_J~zo  
   'ff_cos = cos_acb O>IY<]x>L  
   If cos_acb >= 1 Then [h {zT)[  
   nn = 0 7b_t%G"  
   ElseIf cos_acb <= -1 Then LkK%DY  
   nn = 3.14159265258979 (1^AzE%U+Z  
   Else RpOGY{[)[  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) gp`$/ci  
   End If h.l^f>,/  
   'ff_angle = nn 6k|o<`~,  
   ff_angle = nn * 180 / 3.14159265258979 /q^)thJ~  
End Function

'判断点在区域内函数 ,&e0~  
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 U*!q@g_  
Dim aob, boc, cod, doa, sum As Single ;|}N\[fk%]  
  If ppx = p1x And ppy = p1y Then sEkfmB2J/  
     point_in = True Z-z^0QO  
     Exit Function @a$_F3W  
  End If ,R#pQ 4  
  If ppx = p2x And ppy = p2y Then YcOPqvQ  
     point_in = True 2FU+o\1%  
     Exit Function [% \>FT[  
  End If )S@e&a|  
   If ppx = p3x And ppy = p3y Then lR5[UKr  
     point_in = True
3`.*~qW  
     Exit Function IO3p&sJ/  
  End If }Z#KPI8\Q  
     b+Sq[  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) ;)$bhNFHx  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) M15Ce)oB1(  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) )O\w'|$G  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) "jV:L  
    sum = aob + boc + cod + doa 7^)8DwAl  
    If 360.01 > sum And sum > 359.99 Then SQ'\Kd=  
       point_in = True |>|f?^  
    Else ?1w{lz(P  
       point_in = False [$M=+YRHMW  
    End If (KxI*  
End Function

'得到点半径,得到交点坐标函数 k_;g-r,  
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() abMB-  
    '求得中心点坐标 GdN9bA&,  
Dim tt As String ]#k=VKdV  
Dim rt(3) As Single Z9wKjxu+
 
    '判断是否平行 9K!kU6Gh  
   acx = p3x - p1x )7]la/0  
   acy = p3y - p1y (A(j.[4a
 
   bdx = p4x - p2x ;k?Z,M:  
   bdy = p4y - p2y \k4tYL5  
   If acx * bdy = acy * bdx Then tTEw"DL_-  
      rt(0) = 0 tJBj9{  
      Exit Function '+EtnWHs  
   Else f \ E9u}  
      '判断斜率存在否 ='A VI-go5  
      If p1x = p3x And p2x <> p4x Then H!'Ek[s+  
         tt = "ac_n_bd_y" 3d>8~ANi=%  
      ElseIf p1x <> p3x And p2x = p4x Then wqxChTbs  
         tt = "ac_y_bd_n" [>$?/DM  
      ElseIf p1x <> p3x And p2x <> p4x Then 1X5M
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         tt = "ac_y_bd_y" 3vXa#f>P<  
      End If IA%|OVAfF  
    Select Case tt -7Bg5{FA  
         Case "ac_n_bd_y" 1.0:  
            'bd线段方程 8Z|A'M  
            k_bd = bdy / bdx &x?m5%^l  
            b_bd = p2y - k_bd * p2x A"tE~m;"7  
            p_x = p1x Ab #}BHI  
            p_y = k_bd * p_x + b_bd 0tKVo]EK  
         Case "ac_y_bd_n" ~nJ"#Q_T  
            'ac线段方程 ~P7zg!p/q  
            k_ac = acy / acx 0Q7|
2{  
            b_ac = p1y - k_ac * p1x jn +*G<NJ  
            p_x = p2x t:x"]K  
            p_y = k_ac * p_x + b_ac YsO3( HS  
        Case "ac_y_bd_y" _u3%16,o  
           'ac，bd线段都要求 "D,}|  
           k_ac = acy / acx e0<Wed  
           b_ac = p1y - k_ac * p1x q2b>Z6!5  
           k_bd = bdy / bdx )O],$\u  
           b_bd = p2y - k_bd * p2x 23d*;ri5  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) BT)PD9CN(  
           p_y = k_ac * p_x + b_ac IM$ d~C  
        End Select s%QCdU ]  
      rt(1) = p_x ).)^\  
      rt(2) = p_y W7W(jMH  
     w=_q<1a  
'计算最大半径 ToK=`0#LNK  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) z"nMR_TTu  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) YEa<
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   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) f AY(ro9Q(  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) *(s0X[-  
Dim bb(5) As Single W(}
2R>$  
  bb(1) = rr1 ;Q8`5h   
  bb(2) = rr2 aX,6y1  
  bb(3) = rr3 I`77[  
  bb(4) = rr4 6d`qgEM3  
  nb = rr1 wRdN(`;v  
For i = 1 To 4 j[,XJ,5=  
    If nb <= bb(i) Then [K
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       nb = bb(i) eZ]>;5  
    End If O7
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Next i shD4";8*@  
    rt(0) = Sqr(nb) ce3``W/H3  
    rr = rt() 63(XCO  
  End If i#NtiZ.t=  
         `PZ\3SC'i  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  FRL;fF  

'SXLnoeTa  
有热压工艺方面的人才或者资料分享下； VU6+"2+'2  
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 c}!`tBTm  

高手真多！

楼主威武霸气.