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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: 5al{[mi  
    9U*vnLB  
    ,;18:  
    本主题包含附件,请 登录 后查看, 或者 注册 成为会员
     
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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: ^S|^1  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) s_TM!LRUcw  
    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 ) b8*>k  
    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 W=m_G]"L  
    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: L8 J/GVmj  
    1.判断点在区域中函数 CmZ?uo+Y  
    2.计算夹角函数 OA0\b_  
    3.转置函数 4E)[<%  
    4.得到区域中心点,及区域半径函数 M ~IiJ9{  
    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) `ijX9c  
    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 rSk $]E]Z  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single (ni$wjq=z^  
       cax = x2 - x1 v\c3=DbO  
       cay = y2 - y1 gyK"#-/_d  
       cbx = x2 - x3 Q7\Ax0  
       cby = y2 - y3 WA/\x  
       mo_jj = cax * cbx + cay * cby &,/T<V  
       mo_ca = Sqr(cax * cax + cay * cay) ^cNP ?7g7  
       mo_cb = Sqr(cbx * cbx + cby * cby) dXj.e4,m  
       cos_acb = mo_jj / (mo_ca * mo_cb) /d4xHt5a  
       'ff_cos = cos_acb 4$^=1ax  
       If cos_acb >= 1 Then L0Cf@~k  
       nn = 0 [Dhc9  
       ElseIf cos_acb <= -1 Then TwN8|ibVmP  
       nn = 3.14159265258979 |F<aw?%  
       Else 6 D O E6  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) wg_Z!(Hr#  
       End If Fmu R(f=  
       'ff_angle = nn uFqH_04  
       ff_angle = nn * 180 / 3.14159265258979 [D)A+  
    End Function
    离线safeng1122
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    只看该作者 4楼 发表于: 2013-04-08
    '判断点在区域内函数 D fb&/ }  
    Function point_in(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single, ppx As Single, ppy As Single) As Boolean ;kbz(:wA  
    Dim aob, boc, cod, doa, sum As Single +[F8>9o&  
      If ppx = p1x And ppy = p1y Then jmIP c3O0  
         point_in = True /vMpSN|3  
         Exit Function i<bs{Cu_S  
      End If pmS=$z;I  
      If ppx = p2x And ppy = p2y Then V= _8G3  
         point_in = True j\a?n4g -  
         Exit Function >C i=H(8vN  
      End If A1C@'9R*  
       If ppx = p3x And ppy = p3y Then 09"~<W8  
         point_in = True DlP}Fp{  
         Exit Function NF.SGga  
      End If q8oEb  
         li{_biey}  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) !cpBX>{w  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) WC4Il C  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) k@2gw]y"  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 82<L07fB  
        sum = aob + boc + cod + doa FD*y[A ?  
        If 360.01 > sum And sum > 359.99 Then pv T!6+  
           point_in = True Qhr:d`@^]  
        Else SbZk{lWcq  
           point_in = False *<hpq)  
        End If , ^nUi c  
    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 l YhwV\3  
    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() 2::T,Z  
        '求得中心点坐标 #RSxo 4  
    Dim tt As String l]ZUKy  
    Dim rt(3) As Single Nwc(<  
        '判断是否平行 ]D%[GO//!  
       acx = p3x - p1x j7W_%Yk|E  
       acy = p3y - p1y B|Omz:c  
       bdx = p4x - p2x @@5u{K  
       bdy = p4y - p2y ?>&8,p17  
       If acx * bdy = acy * bdx Then 1eJ\CdI  
          rt(0) = 0 A=])pYE1  
          Exit Function bcZuV5F&  
       Else ''6"Xi|5  
          '判断斜率存在否 ?G{fF H  
          If p1x = p3x And p2x <> p4x Then 6!'yU=Z`  
             tt = "ac_n_bd_y" Txxc-$z  
          ElseIf p1x <> p3x And p2x = p4x Then U` U/|@6  
             tt = "ac_y_bd_n" FYj3! H  
          ElseIf p1x <> p3x And p2x <> p4x Then )SQ g  
             tt = "ac_y_bd_y" H!A^ MI   
          End If "Vh(%N`6  
        Select Case tt T>z@;5C  
             Case "ac_n_bd_y" ZTun{Dw{  
                'bd线段方程 QXrK-&fju  
                k_bd = bdy / bdx wHCsEp(  
                b_bd = p2y - k_bd * p2x YK-R|z6K  
                p_x = p1x 'FVT"M~  
                p_y = k_bd * p_x + b_bd <(iOzn  
             Case "ac_y_bd_n" #B?7{#.1  
                'ac线段方程 crT[;w  
                k_ac = acy / acx x4. #_o&  
                b_ac = p1y - k_ac * p1x X4TUi8ht!]  
                p_x = p2x 3aOFpCs|#  
                p_y = k_ac * p_x + b_ac 5x: XXj"  
            Case "ac_y_bd_y" I@\{6hw  
               'ac,bd线段都要求 ]uZH  0  
               k_ac = acy / acx ZO`d  
               b_ac = p1y - k_ac * p1x {kzM*!g  
               k_bd = bdy / bdx h~1QmEat  
               b_bd = p2y - k_bd * p2x {Xp.}c  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) S\,{ qhd  
               p_y = k_ac * p_x + b_ac 4S=lO?\"A  
            End Select `bm-ONK  
          rt(1) = p_x E|TzrH  
          rt(2) = p_y @!S$gTz  
         y5#_@  
    '计算最大半径 A gPg0(G  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) c;e ,)$)-|  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) Z\Q7#dl  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) I|M*yObl6  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) w5;EnI  
    Dim bb(5) As Single 8 2qe|XD4p  
      bb(1) = rr1 %{{#Q]]&  
      bb(2) = rr2 ]+l r  
      bb(3) = rr3 ) ad-s  
      bb(4) = rr4 n5 i}J/Sa2  
      nb = rr1 C+k>Ajr  
    For i = 1 To 4 %(]rc%ry0  
        If nb <= bb(i) Then 9f @)EKBK  
           nb = bb(i) <uvshZ v  
        End If G9i#_  
    Next i 0jmlsC>  
        rt(0) = Sqr(nb) $_VD@YlAp  
        rr = rt() t|q=NK/  
      End If WIghP5%W  
             &-zI7@!  
    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)  9YABr> ?  
    #pfosC[  
    有热压工艺方面的人才或者资料分享下; M6iKl  
    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 9:o3JGHSc  
    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.