[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： E5aRTDLq  
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图片:2.jpg

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关键点说几个： yky%+@2q  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） P_4E<"eK  
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 NbC
2N)L4  
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 )I#{\^  

以下是几个重要的函数： )=#e*1!b  
1.判断点在区域中函数 Y[l<fbh(}  
2.计算夹角函数 Gx %=&O  
3.转置函数 #dKy{Q3he  
4.得到区域中心点，及区域半径函数 pdB\D  
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） ;yajt\a  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 Th$Z9+()  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single >+Ig<}p  
   cax = x2 - x1 AT)b/y
cC  
   cay = y2 - y1 jz`3xFy *]  
   cbx = x2 - x3 I?St}Tl  
   cby = y2 - y3 4(sHUWT  
   mo_jj = cax * cbx + cay * cby Y/
6>OD  
   mo_ca = Sqr(cax * cax + cay * cay) lP*n%Pn)  
   mo_cb = Sqr(cbx * cbx + cby * cby) 1 _Oc1RM   
   cos_acb = mo_jj / (mo_ca * mo_cb) %YK xdp  
   'ff_cos = cos_acb Q?;Tc.O"/  
   If cos_acb >= 1 Then {1Y
@%e  
   nn = 0 d&CpaOSu  
   ElseIf cos_acb <= -1 Then R)BXN~dQ  
   nn = 3.14159265258979 xu_,0ZT]{  
   Else H0#=oJr$)W  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) T\n6^@.
>  
   End If r88De=*  
   'ff_angle = nn g0bYO!gCr  
   ff_angle = nn * 180 / 3.14159265258979 nj0sh"~+  
End Function

'判断点在区域内函数 3r,~-6  
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 t+}
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Dim aob, boc, cod, doa, sum As Single |bz%SB  
  If ppx = p1x And ppy = p1y Then 3PGAUQR#"q  
     point_in = True ^l|b>z"0ao  
     Exit Function >iae2W`
 
  End If BH1h2OEe#  
  If ppx = p2x And ppy = p2y Then ,#UZp\zZ*  
     point_in = True e~'lWJD  
     Exit Function iW^J>aKy
 
  End If T"[]'|'  
   If ppx = p3x And ppy = p3y Then xsB0LUt  
     point_in = True UPU$SZAIx  
     Exit Function z,G_&5|f%  
  End If kFwFPK%B  
     !CWe1Dm  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) +ZM,E8  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) z'"7zLQ  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) tLWw<)t  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) X8Q'*  
    sum = aob + boc + cod + doa =&}_bd/]  
    If 360.01 > sum And sum > 359.99 Then >< $LV&  
       point_in = True /T)E&=Ds  
    Else o]4\Geg$  
       point_in = False &jHsFS  
    End If R,G*]/r`  
End Function

'得到点半径,得到交点坐标函数 h6 {vbYj  
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() D#b*M)X"  
    '求得中心点坐标 KOS0Du  
Dim tt As String E7fQ9]  
Dim rt(3) As Single a)JXxst  
    '判断是否平行 =Z  
   acx = p3x - p1x 0I)$!1~O)  
   acy = p3y - p1y W5 F\e[Ax5  
   bdx = p4x - p2x z#G
Zb   
   bdy = p4y - p2y eo0-aHs  
   If acx * bdy = acy * bdx Then . ,^WCyvq  
      rt(0) = 0 jr4xh{Z`  
      Exit Function D=-}&w_T"  
   Else @gD)pH  
      '判断斜率存在否 4GRD- f[  
      If p1x = p3x And p2x <> p4x Then 6P1s*u  
         tt = "ac_n_bd_y" 3F2IL)Hn  
      ElseIf p1x <> p3x And p2x = p4x Then |#@7$#j  
         tt = "ac_y_bd_n" -`~qmRpqY  
      ElseIf p1x <> p3x And p2x <> p4x Then ^)H
f%  
         tt = "ac_y_bd_y"  2h   
      End If s1D<R,J|H  
    Select Case tt bQt:
=>  
         Case "ac_n_bd_y" @'R)$:I%L  
            'bd线段方程 .>B'oD  
            k_bd = bdy / bdx ! I@w3`  
            b_bd = p2y - k_bd * p2x *y*tI}  
            p_x = p1x u#@/^h;  
            p_y = k_bd * p_x + b_bd 
Y<xqws  
         Case "ac_y_bd_n" N'v3 |g  
            'ac线段方程 U>E: Ub0r  
            k_ac = acy / acx 7Jf~Bn  
            b_ac = p1y - k_ac * p1x ~T1W-ig4[*  
            p_x = p2x fCr2'+O"b  
            p_y = k_ac * p_x + b_ac fg^25g'_  
        Case "ac_y_bd_y" Tc6c
Be,  
           'ac，bd线段都要求 @V%\Gspv  
           k_ac = acy / acx UCLM*`M  
           b_ac = p1y - k_ac * p1x i.Rl
&t  
           k_bd = bdy / bdx >|QH I d8  
           b_bd = p2y - k_bd * p2x Zhq_ pus"a  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) }`"}eN @,  
           p_y = k_ac * p_x + b_ac N(&{~*YE  
        End Select n[3z_QI  
      rt(1) = p_x a: "1LnvR  
      rt(2) = p_y PM\Ju]  
     FU3K?A B  
'计算最大半径 <~smBd  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) cE]z Tu?!  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) #rlgeHG!fs  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) UBaXS_c\  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 2Vx4"fHP#N  
Dim bb(5) As Single *G58t`]r  
  bb(1) = rr1 =w$&n%~  
  bb(2) = rr2 u"v7shRp:  
  bb(3) = rr3 *)RmX$v3  
  bb(4) = rr4 URsx>yx  
  nb = rr1 U#3N90,N=  
For i = 1 To 4 axC|,8~tq  
    If nb <= bb(i) Then *()['c#CC  
       nb = bb(i) ],]Rv#`  
    End If %B%_[<B  
Next i T~[:oil  
    rt(0) = Sqr(nb) OIblBQ!  
    rr = rt() +4?Lwp'q  
  End If 6 4_}"fU  
         UQl?
_[G  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  YdI6|o@vc  

?c.\\2>|F  
有热压工艺方面的人才或者资料分享下； -l=C7e  
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 W8<QgpV*  

高手真多！

楼主威武霸气.