[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： L0![SE>  
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uc,>VzdB  

关键点说几个： nYtkTP!J6  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） >M5}L<  
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 "
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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 f,ro1Nke  

以下是几个重要的函数： 'N{1b_v?  
1.判断点在区域中函数 pqg2#@F.  
2.计算夹角函数 M.
H!dZ  
3.转置函数 wQ(DX!   
4.得到区域中心点，及区域半径函数 )nHMXZ>Td  
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） 7b1 yF,N  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 og$dv 23  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ydD:6bBX  
   cax = x2 - x1 YEV;GFI1  
   cay = y2 - y1 Wda?$3!^q  
   cbx = x2 - x3 >0kL9_9{  
   cby = y2 - y3 j&DlI_  
   mo_jj = cax * cbx + cay * cby v0r:qku  
   mo_ca = Sqr(cax * cax + cay * cay) M]V j  
   mo_cb = Sqr(cbx * cbx + cby * cby) e|A=sCN-  
   cos_acb = mo_jj / (mo_ca * mo_cb) ~H''RzN  
   'ff_cos = cos_acb z .lb(xQ  
   If cos_acb >= 1 Then AYNz {9  
   nn = 0 .dzw5R&  
   ElseIf cos_acb <= -1 Then
tqA-X[^  
   nn = 3.14159265258979 fwtsr>SV  
   Else R]od/
u/$  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) +4t \j<T  
   End If +2E~=xX  
   'ff_angle = nn =2Ju)!%wr  
   ff_angle = nn * 180 / 3.14159265258979 V13^SVM  
End Function

'判断点在区域内函数 s/?(G L+Ae  
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&kdR+dB  
Dim aob, boc, cod, doa, sum As Single *[nS
*D\:  
  If ppx = p1x And ppy = p1y Then :@~3wD[y  
     point_in = True @6jKjI  
     Exit Function a6T!)g  
  End If C1HNcfa7  
  If ppx = p2x And ppy = p2y Then ~O;?;@  
     point_in = True !H^R_GC  
     Exit Function yaj1nq!*"  
  End If w4y???90)  
   If ppx = p3x And ppy = p3y Then Z_<Wr7D  
     point_in = True H_JT"~_2  
     Exit Function j~2t^Qz  
  End If .R+n}>+K  
     d#,   
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) K<ldl.  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) %'F[(VB  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ^oHK.x#{  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) +/*A}!#v  
    sum = aob + boc + cod + doa Z;U\h2TY  
    If 360.01 > sum And sum > 359.99 Then bir tA{q  
       point_in = True mnMY)-6C  
    Else >m9ge`!9  
       point_in = False Izfj 9h ?  
    End If nRZ T~S4  
End Function

'得到点半径,得到交点坐标函数 T8QRO%t  
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() BI)$aR  
    '求得中心点坐标 gJn_8\,C>Q  
Dim tt As String i*vf(0G  
Dim rt(3) As Single v/Ei0}e6~  
    '判断是否平行 tdRnRoB  
   acx = p3x - p1x nIP*yb}5  
   acy = p3y - p1y _E
ZrZB  
   bdx = p4x - p2x 0/%VejZ'  
   bdy = p4y - p2y H"g p  
   If acx * bdy = acy * bdx Then b!|c:mE9|  
      rt(0) = 0 8-R; &  
      Exit Function HQ8;d9cGir  
   Else xqzdXL}  
      '判断斜率存在否 $
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      If p1x = p3x And p2x <> p4x Then "^iw {]~U  
         tt = "ac_n_bd_y" ^RS`q+g  
      ElseIf p1x <> p3x And p2x = p4x Then Pd<>E*>}c.  
         tt = "ac_y_bd_n" a)8M'f_z  
      ElseIf p1x <> p3x And p2x <> p4x Then xBcE>^{1.  
         tt = "ac_y_bd_y" ,NaNih1  
      End If V5LzUg]  
    Select Case tt 1~q|
%"J  
         Case "ac_n_bd_y" *e05{C:kS  
            'bd线段方程 0l
]K%5#  
            k_bd = bdy / bdx VSt)~  
            b_bd = p2y - k_bd * p2x DbkKmv&  
            p_x = p1x Xn3Ph!\Z5e  
            p_y = k_bd * p_x + b_bd +lqX;*a=N  
         Case "ac_y_bd_n" _gF )aE  
            'ac线段方程 13P8Zmco  
            k_ac = acy / acx F\;G'dm  
            b_ac = p1y - k_ac * p1x 7fJWb)z!k  
            p_x = p2x vJfex,#lv  
            p_y = k_ac * p_x + b_ac 3"hPplE  
        Case "ac_y_bd_y" "M.vu}~>  
           'ac，bd线段都要求 +O@0gl  
           k_ac = acy / acx wg=ge]E5  
           b_ac = p1y - k_ac * p1x }A%Sx!7
~  
           k_bd = bdy / bdx #Hr>KQ5mJQ  
           b_bd = p2y - k_bd * p2x {aWTT&-N  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) @nS+!t{  
           p_y = k_ac * p_x + b_ac ?8Hr 9  
        End Select !1}A\S  
      rt(1) = p_x /u8m|S<  
      rt(2) = p_y Rx 4 ;X  
     (TV ye4Z  
'计算最大半径 7x^P
74  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y)  um[nz  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) N?h=Zl|  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) #yk m  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) TnqspS2;R  
Dim bb(5) As Single gG^K\+S  
  bb(1) = rr1 s^b2H !~  
  bb(2) = rr2 <OcD[5  
  bb(3) = rr3 T0ebW w  
  bb(4) = rr4 E8~Bp-G)  
  nb = rr1 Y\len  
For i = 1 To 4 N(W;(7  
    If nb <= bb(i) Then X99:/3MXB'  
       nb = bb(i) )q\|f_  
    End If %_!YonRY|X  
Next i Z`23z(+  
    rt(0) = Sqr(nb) ^[SQw)*
 
    rr = rt()
kmm1b (  
  End If lmZSsx  
         @""aNKA^r>  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  FMCX->}$  

G:NI+E"]  
有热压工艺方面的人才或者资料分享下； Z?yMy zT  
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 $gU6=vN1#  

高手真多！

楼主威武霸气.