[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： %oF
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~,d,#)VE2q  
-j+UMlkB  

关键点说几个： _mzW'~9wN  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） FGPB:  
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 #=D) j  
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 &X`C%h  

以下是几个重要的函数： ~Xw"}S5  
1.判断点在区域中函数 Gn22<C/  
2.计算夹角函数 ]fm'ZY&  
3.转置函数 jAGTD I  
4.得到区域中心点，及区域半径函数 UN7EF/!Zz  
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） `0rd26Qro  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 ZjT,pOSyb  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single #w;v0&p
 
   cax = x2 - x1 XoXM^*Vk  
   cay = y2 - y1 TH)"wNa  
   cbx = x2 - x3 $JSL-NkE  
   cby = y2 - y3 KTK <gV9:  
   mo_jj = cax * cbx + cay * cby zh4#A <e  
   mo_ca = Sqr(cax * cax + cay * cay) D>|H 2  
   mo_cb = Sqr(cbx * cbx + cby * cby) |HU@ >  
   cos_acb = mo_jj / (mo_ca * mo_cb) J`^ag'  
   'ff_cos = cos_acb =Xm@YVf&ZD  
   If cos_acb >= 1 Then liEPCWl&  
   nn = 0 U
6=..K!q  
   ElseIf cos_acb <= -1 Then c~6>1w7SZ4  
   nn = 3.14159265258979 D@
C-5rmq  
   Else $r@ =*(  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) z,|r*\dw  
   End If YgKZ#?*  
   'ff_angle = nn YpQ7)_s?  
   ff_angle = nn * 180 / 3.14159265258979
U -Y03  
End Function

'判断点在区域内函数 ^<;V]cY`  
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 Y_}mYvJW  
Dim aob, boc, cod, doa, sum As Single f6|KN+.  
  If ppx = p1x And ppy = p1y Then |]QqXE-7  
     point_in = True $Vsk Ew"|M  
     Exit Function -g)9R%>
-  
  End If A2^\q>_#  
  If ppx = p2x And ppy = p2y Then W8Q|$ZJ88F  
     point_in = True yPM3a7-Bm  
     Exit Function L}GC<D:  
  End If 1D16  
   If ppx = p3x And ppy = p3y Then DQMHOd7g  
     point_in = True Z:ni$7<.  
     Exit Function h H <J,Wn  
  End If Nb?w|Ne(T  
     rxr{/8%f%  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) pkP?i5,  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 5?p2%KQ  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) Fd?"-  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) b k|m4|  
    sum = aob + boc + cod + doa $\b$
}wy*  
    If 360.01 > sum And sum > 359.99 Then kR]!Vr*yh  
       point_in = True dX\.t<  
    Else x??pBhJH  
       point_in = False jxiC Kx,G  
    End If np%\&CVhN  
End Function

'得到点半径,得到交点坐标函数 D6CS8 ~"  
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() wtmB+:I  
    '求得中心点坐标 eFBeJZuE|  
Dim tt As String \(VTt|}By$  
Dim rt(3) As Single 0OT\"O~S[  
    '判断是否平行 p(PMZVV`  
   acx = p3x - p1x 3k|oK'l  
   acy = p3y - p1y iS&l8@2a  
   bdx = p4x - p2x <cZGxff01  
   bdy = p4y - p2y 0E?jW7yr  
   If acx * bdy = acy * bdx Then # S}Z8  
      rt(0) = 0 O@MGda9_;  
      Exit Function wUiys/OVM  
   Else i O
/K nH  
      '判断斜率存在否 WJNl5^  
      If p1x = p3x And p2x <> p4x Then +zrAG24q  
         tt = "ac_n_bd_y" XQ%?  
      ElseIf p1x <> p3x And p2x = p4x Then n8uv#DsdK  
         tt = "ac_y_bd_n" SF}<{x_  
      ElseIf p1x <> p3x And p2x <> p4x Then 7@Zx@  
         tt = "ac_y_bd_y" [vMvV4,  
      End If fBgEnz/  
    Select Case tt GM<BO8Y.  
         Case "ac_n_bd_y" _$wmI/_JM  
            'bd线段方程 <c)+Fno[E_  
            k_bd = bdy / bdx t|9 GS|  
            b_bd = p2y - k_bd * p2x GiP`dtK
 
            p_x = p1x !:|TdYrmj  
            p_y = k_bd * p_x + b_bd TT50(_8  
         Case "ac_y_bd_n" A,V\"KU  
            'ac线段方程 #O$  
            k_ac = acy / acx /CuXa%Ci^  
            b_ac = p1y - k_ac * p1x T21ky>8E  
            p_x = p2x HS{(v;  
            p_y = k_ac * p_x + b_ac 4J;-Dq  
        Case "ac_y_bd_y" >ELlnE8  
           'ac，bd线段都要求 NZP.0coY  
           k_ac = acy / acx /" ${$b{  
           b_ac = p1y - k_ac * p1x # altx=6'  
           k_bd = bdy / bdx |}{B1A  
           b_bd = p2y - k_bd * p2x 7SlsnhpW  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) Pt@%4 :&-h  
           p_y = k_ac * p_x + b_ac >w-;Z>3Q@  
        End Select Ma'_e=+A  
      rt(1) = p_x V$"ujRp  
      rt(2) = p_y VOc8q-hK  
     Ypei
y`.  
'计算最大半径 @%tRhG  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) txZ?=8j_Y  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) PqyA1  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 6ZKsz5:=  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) by'DQ 00  
Dim bb(5) As Single ;<$H)`*  
  bb(1) = rr1 t6,wjN-J  
  bb(2) = rr2 z >YFyu#LF  
  bb(3) = rr3 +2K:qvzZ  
  bb(4) = rr4 UOGuqV-  
  nb = rr1 r'dr9"-{  
For i = 1 To 4 2RqbrY n  
    If nb <= bb(i) Then #l4)HV  
       nb = bb(i) 'WI^
nZM  
    End If Mmo6MZ^  
Next i >iOzl wmG  
    rt(0) = Sqr(nb) 2u"7T_"2D  
    rr = rt() y.=/J8->  
  End If *?z0$Kz<,[  
         rQOWLg!"  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  pilh@#_h  

H@l}[hkP  
有热压工艺方面的人才或者资料分享下； (X+s-4%  
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 lFUWV)J\  

高手真多！

楼主威武霸气.