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    [分享]绝对随机网点分布(excel之vba) [复制链接]

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    离线safeng1122
     
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    只看楼主 倒序阅读 楼主  发表于: 2013-04-08
    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: qX%_uOw:%  
    4x34u}l  
    ]^E?;1$f?  
     
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    离线safeng1122
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    只看该作者 1楼 发表于: 2013-04-08
    关键点说几个: B\~}3!j  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) |Cv!,]9:r  
    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 zs  
    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 >MZ/|`[M  
    离线safeng1122
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    只看该作者 2楼 发表于: 2013-04-08
    以下是几个重要的函数: L(-4w+  
    1.判断点在区域中函数 5P2K5,o|n~  
    2.计算夹角函数 6ujW Nf  
    3.转置函数 vM={V$D&  
    4.得到区域中心点,及区域半径函数 $xsd~L &  
    5.再有就是若干个点抽取其中一部分;或者采用随机分布(该方法会有重合点,所以没采用) j 7B!h|  
    6.文件开启与关闭,这个最常见了,就不说了
    离线safeng1122
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    只看该作者 3楼 发表于: 2013-04-08
    '计算夹角函数 X}]-*T|a  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single  7GGUV  
       cax = x2 - x1 4+n\k  
       cay = y2 - y1 _c07}aQ ],  
       cbx = x2 - x3 TeQV?ZQ#}  
       cby = y2 - y3 \U0Q<ot/7  
       mo_jj = cax * cbx + cay * cby Jm@oDME_E  
       mo_ca = Sqr(cax * cax + cay * cay) , gHDx  
       mo_cb = Sqr(cbx * cbx + cby * cby) U$g?!Yl0  
       cos_acb = mo_jj / (mo_ca * mo_cb) /Oono6j  
       'ff_cos = cos_acb z:O8Ls^\T  
       If cos_acb >= 1 Then l;U?Z'n  
       nn = 0 ZCw]m#lS  
       ElseIf cos_acb <= -1 Then 3|7QU ld  
       nn = 3.14159265258979 3`HV(5U[  
       Else }H4RR}g  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) {g6%(X\r.r  
       End If \e_O4  
       'ff_angle = nn XW9!p.*.U  
       ff_angle = nn * 180 / 3.14159265258979 A&{Nh` q  
    End Function
    离线safeng1122
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    只看该作者 4楼 发表于: 2013-04-08
    '判断点在区域内函数 6@o*xK7L  
    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 ^.tg7%dJ  
    Dim aob, boc, cod, doa, sum As Single mOSv9w#,  
      If ppx = p1x And ppy = p1y Then 8MBAtVmy  
         point_in = True ^8tEach  
         Exit Function `/g UV  
      End If ^aQ"E9  
      If ppx = p2x And ppy = p2y Then ijcm2FJcG  
         point_in = True c,22*.V/  
         Exit Function +p^u^a  
      End If ;4a{$Lw~^9  
       If ppx = p3x And ppy = p3y Then IID5c" oR  
         point_in = True l2d{ 73h  
         Exit Function AGno6g  
      End If f::Dx1VcX  
         ,Q,^3*HX9}  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) *I'yH8Fcn  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) E4!Fupkpf  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) Al'3?  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) P2!C|SLK  
        sum = aob + boc + cod + doa ~ 1pr~  
        If 360.01 > sum And sum > 359.99 Then yVc(`,tZ(  
           point_in = True t5zKW _J7  
        Else +V+a4lU14  
           point_in = False bcR_E5x$  
        End If ':W[A  
    End Function
    离线safeng1122
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    只看该作者 5楼 发表于: 2013-04-08
    '得到点半径,得到交点坐标函数 ]?)TdJ`  
    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() ca}2TT&t  
        '求得中心点坐标 />Nt[o[r  
    Dim tt As String 6#yUc_5 \  
    Dim rt(3) As Single .o8t+X'G  
        '判断是否平行 +3`alHUK  
       acx = p3x - p1x zVD:#d% b  
       acy = p3y - p1y nie%eC&U  
       bdx = p4x - p2x ExM,g'7  
       bdy = p4y - p2y fatf*}eln  
       If acx * bdy = acy * bdx Then `kr?j:g  
          rt(0) = 0 h$=2p5'-  
          Exit Function i&k7-<  
       Else nd(S3rct&  
          '判断斜率存在否 6,uX,X5  
          If p1x = p3x And p2x <> p4x Then qVPeB,kIz  
             tt = "ac_n_bd_y" {|\.i  
          ElseIf p1x <> p3x And p2x = p4x Then 4~=l}H>&  
             tt = "ac_y_bd_n" ~v83pu1!2s  
          ElseIf p1x <> p3x And p2x <> p4x Then Th[dW<  
             tt = "ac_y_bd_y" ;wVwX6:ZKr  
          End If lLD12d  
        Select Case tt _rYkis^ u  
             Case "ac_n_bd_y" GF WA>5n'  
                'bd线段方程 smLQS+UE  
                k_bd = bdy / bdx T)CP2U  
                b_bd = p2y - k_bd * p2x &/b~k3{M_  
                p_x = p1x ZN6Z~SL_i~  
                p_y = k_bd * p_x + b_bd rGkyGz8>  
             Case "ac_y_bd_n" kN>!2UfNS  
                'ac线段方程 <t,x RBk  
                k_ac = acy / acx XUw/2"D'?  
                b_ac = p1y - k_ac * p1x FC*[*  
                p_x = p2x Z6pUZ[j,  
                p_y = k_ac * p_x + b_ac |)81Lz  
            Case "ac_y_bd_y" j.kG};f  
               'ac,bd线段都要求 H|D.6^  
               k_ac = acy / acx x m@_IL&P  
               b_ac = p1y - k_ac * p1x W%)Y#C  
               k_bd = bdy / bdx s@DLt+ O5  
               b_bd = p2y - k_bd * p2x @I*{f  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) $g7<Y*t[  
               p_y = k_ac * p_x + b_ac ASfaX:ke  
            End Select Rh |nP&6  
          rt(1) = p_x LDD|(KLR*.  
          rt(2) = p_y 7)k\{&+P  
         Y<rU#Z#T  
    '计算最大半径 ]7mt[2 Cd  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) QIgNsz  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ^H' \"9;7  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) h} EPnC}  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) Lk$B{2^n  
    Dim bb(5) As Single MWL% Bz  
      bb(1) = rr1 "Pf~iwfw  
      bb(2) = rr2 O<\@~U  
      bb(3) = rr3 &M '*6A  
      bb(4) = rr4 >U3cTEs cj  
      nb = rr1 )Z VD+X  
    For i = 1 To 4 S@Hf &hJ  
        If nb <= bb(i) Then X|8c>_}  
           nb = bb(i) g4@ lM"|S  
        End If FE{FGM q  
    Next i S+2(f> Z  
        rt(0) = Sqr(nb) 7!$^r$t   
        rr = rt() @]#1(9P  
      End If B+0hzkPY  
             3Hm/(C  
    End Function
    离线lifei0715
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    只看该作者 6楼 发表于: 2013-04-08
    高手啊.人才啊.
    离线safeng1122
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    只看该作者 7楼 发表于: 2013-04-09
    回 lifei0715 的帖子
    lifei0715:高手啊.人才啊. (2013-04-08 19:15)  qc~iQSI  
    !o[7wKrXb  
    有热压工艺方面的人才或者资料分享下; 3gj+%%!G\  
    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 ,$+V  
    离线windcgp86
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    只看该作者 8楼 发表于: 2013-04-10
    高手真多!
    离线allansweruni
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    只看该作者 9楼 发表于: 2013-04-11
    楼主威武霸气.