[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： N/`g?B[  
M~#5/eRX  
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关键点说几个： 7ZrJ#n8?ih  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） h%4~0  
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 us(sZG  
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 t%ou1&SO  

以下是几个重要的函数： V1AEjh  
1.判断点在区域中函数 #0#V$AA>  
2.计算夹角函数 aa'0EU:  
3.转置函数 b3jU~L$  
4.得到区域中心点，及区域半径函数 l93
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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） .'+|>6eU  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 'bQs_  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single '8((;N|I^  
   cax = x2 - x1 3L\s8O  
   cay = y2 - y1 "J0Oa?  
   cbx = x2 - x3 C'xU=OnA8  
   cby = y2 - y3 cfQh  
   mo_jj = cax * cbx + cay * cby z;Gbqr?{{  
   mo_ca = Sqr(cax * cax + cay * cay) 8EVF<@{]  
   mo_cb = Sqr(cbx * cbx + cby * cby) N1B$G  
   cos_acb = mo_jj / (mo_ca * mo_cb) .LhbhUEfn  
   'ff_cos = cos_acb Dq_{O  
   If cos_acb >= 1 Then *RqO3=  
   nn = 0 B "s8i{Vm  
   ElseIf cos_acb <= -1 Then }rb ]d'|  
   nn = 3.14159265258979 K
.sj"#D  
   Else ~6Ee=NaLzP  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) =QO1FO  
   End If :@z5& h  
   'ff_angle = nn a)yNXn8E_  
   ff_angle = nn * 180 / 3.14159265258979 OD2ai]!v+  
End Function

'判断点在区域内函数 * y"GgI  
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&?v9n"X  
Dim aob, boc, cod, doa, sum As Single  PtVN
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  If ppx = p1x And ppy = p1y Then w[$Wpae  
     point_in = True ztxQv5=:,  
     Exit Function PezWc18  
  End If  } k%\  
  If ppx = p2x And ppy = p2y Then N#6A>  
     point_in = True :J)lC =  
     Exit Function yK2*~T,6@  
  End If E'kQ  
   If ppx = p3x And ppy = p3y Then 3B_} :  
     point_in = True Y.hH fSp  
     Exit Function F|ML$  
  End If 1Mhc1MU  
     4~D>oNx4  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) MBTt'6M  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) jU9zCMyNF  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) laRKt"A  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) DEeL48{R  
    sum = aob + boc + cod + doa '9F{.]  
    If 360.01 > sum And sum > 359.99 Then =)UiI3xHk  
       point_in = True !A<XqzV]  
    Else Q24:G  
       point_in = False $Q7E#  
    End If {&j{V-}f  
End Function

'得到点半径,得到交点坐标函数 H;!hp0y  
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() Rw^YTv  
    '求得中心点坐标 >^ 1S2
6  
Dim tt As String TF3q?0  
Dim rt(3) As Single :XY3TI  
    '判断是否平行 <`p'6n79  
   acx = p3x - p1x p$G3r0@  
   acy = p3y - p1y s6hWq&C  
   bdx = p4x - p2x `1v!sSR0R  
   bdy = p4y - p2y I; }%k;v6  
   If acx * bdy = acy * bdx Then d/zX
%  
      rt(0) = 0 Fmle|  
      Exit Function 64j 4P 7  
   Else v})
Ti190  
      '判断斜率存在否 =5_F9nk-  
      If p1x = p3x And p2x <> p4x Then  bQQ/7KM  
         tt = "ac_n_bd_y" ;p"XCLHl  
      ElseIf p1x <> p3x And p2x = p4x Then BW\5RIWwE5  
         tt = "ac_y_bd_n" ;= @-j@?  
      ElseIf p1x <> p3x And p2x <> p4x Then ;{7lc9uRj  
         tt = "ac_y_bd_y" j/IZm)\  
      End If zLK ~i>aW  
    Select Case tt ;xH'%W9z  
         Case "ac_n_bd_y" aJ_Eh(cF  
            'bd线段方程 JNg5?V;.U  
            k_bd = bdy / bdx VCtiZ4  
            b_bd = p2y - k_bd * p2x ~:b~f]lO  
            p_x = p1x !VTS $nJ4  
            p_y = k_bd * p_x + b_bd 0A4
|  
         Case "ac_y_bd_n" 9)hC,)5  
            'ac线段方程 Ntrn("!  
            k_ac = acy / acx 0x/V1?gm  
            b_ac = p1y - k_ac * p1x )_.H #|r  
            p_x = p2x zO]dQ$r\Z  
            p_y = k_ac * p_x + b_ac
C:EoUu  
        Case "ac_y_bd_y" '^Np<  
           'ac，bd线段都要求 d>-EtWd  
           k_ac = acy / acx SO<K#HfE$?  
           b_ac = p1y - k_ac * p1x li XD2N  
           k_bd = bdy / bdx `8bp6}OD,  
           b_bd = p2y - k_bd * p2x vt=S0X^$yc  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) Wfw9cxGkf  
           p_y = k_ac * p_x + b_ac ne*aC_)bT  
        End Select ] CE2/6Ph  
      rt(1) = p_x P.J}\;S T  
      rt(2) = p_y 3yX^R^`  
     P#1y  
'计算最大半径 En_8H[<%  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) tqf-,BLh  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) "n-xsAG  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) "t`e68{Ls  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) e%>E| 9*u  
Dim bb(5) As Single b#^D8_9
h  
  bb(1) = rr1 t\0JNi$2  
  bb(2) = rr2 U]3JCZ{]0E  
  bb(3) = rr3 1S#bV} !  
  bb(4) = rr4 htlWC>*  
  nb = rr1 h*%1Jkxu  
For i = 1 To 4
u%'22q$  
    If nb <= bb(i) Then g8yZc}4
 
       nb = bb(i) \bE~iz3b9  
    End If w]XBq~KO  
Next i .{>-.&  
    rt(0) = Sqr(nb) nTlrG6  
    rr = rt() PrxX
L/6  
  End If Rznr9L  
         %"V,V3kw4  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  n=~?BxB  

(s~hh  
有热压工艺方面的人才或者资料分享下； ! JN@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 0Pe.G0 #  

高手真多！

楼主威武霸气.