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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: /%$Zm^8c  
    W 4{ T<  
    [i.@q}c~E  
     
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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: 3 9 8)\3o  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) 0'&C5v'  
    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 'r'=%u$1C  
    3.网点区域密度可调;把区域分成若干小块,每块的密度不同即可 g$(Y\`zw  
    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: %Tp9G Gt  
    1.判断点在区域中函数 ]t[%.^5#  
    2.计算夹角函数 6/!:vsa"3  
    3.转置函数 #y\O+\4e  
    4.得到区域中心点,及区域半径函数 QW..=}pL  
    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) sbvP1|P8%  
    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 Vy& X1lG:  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single <n_? $ TJ  
       cax = x2 - x1 lU 9o"2  
       cay = y2 - y1 ;v8TT}R  
       cbx = x2 - x3 8;M,l2pmR{  
       cby = y2 - y3 e_-g|ukC  
       mo_jj = cax * cbx + cay * cby #kQ! GMZH  
       mo_ca = Sqr(cax * cax + cay * cay) ~#g c{ C@  
       mo_cb = Sqr(cbx * cbx + cby * cby) x. t< @y~  
       cos_acb = mo_jj / (mo_ca * mo_cb) qJ" (:~  
       'ff_cos = cos_acb zDg*ds\  
       If cos_acb >= 1 Then E2Sj IR}  
       nn = 0 tFcQ.1  
       ElseIf cos_acb <= -1 Then :b9#e g  
       nn = 3.14159265258979 <v ub Q4  
       Else [,bJKz)a  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) azZ|T{S  
       End If _9oKW;7f7  
       'ff_angle = nn k r$)nf  
       ff_angle = nn * 180 / 3.14159265258979 J rK{MhO  
    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 X6sZwb  
    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 d% @0xsU1  
    Dim aob, boc, cod, doa, sum As Single 6rS ? FG=  
      If ppx = p1x And ppy = p1y Then VI3fvGHat{  
         point_in = True j gV^{8qG  
         Exit Function TaF*ZT2  
      End If (9bU\4F\  
      If ppx = p2x And ppy = p2y Then 5hqXMs  
         point_in = True DKo6lP`  
         Exit Function !B[ Y?b:  
      End If :~s"]*y  
       If ppx = p3x And ppy = p3y Then j %MY6"  
         point_in = True VK9E{~0=  
         Exit Function uP7|#>1%  
      End If r:xg#&"*  
         @"cnPLh&  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 1`II%mf[  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) zt((TD2  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) mj9|q8v{+  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 4o''C |ND  
        sum = aob + boc + cod + doa WKr4S<B8mr  
        If 360.01 > sum And sum > 359.99 Then yR F+  
           point_in = True XW'7  
        Else qHrIs-NR  
           point_in = False 5 Bcmz'?!  
        End If 9U9ghWH8  
    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 8Z@O%\1x6  
    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() <^Q` y  
        '求得中心点坐标 */]1?M@P)  
    Dim tt As String (yu0iXZY  
    Dim rt(3) As Single c1]\.s  
        '判断是否平行 >03JQe_#*L  
       acx = p3x - p1x /[3!kW  
       acy = p3y - p1y a.<!>o<t:  
       bdx = p4x - p2x I7ySm12}  
       bdy = p4y - p2y lZ+ 1 A0e  
       If acx * bdy = acy * bdx Then Mf:x9#  
          rt(0) = 0 QD[l 6  
          Exit Function $EG<LmC-Q  
       Else D@mqfi(x  
          '判断斜率存在否 zpcm`z  
          If p1x = p3x And p2x <> p4x Then Yh%  
             tt = "ac_n_bd_y" 7_7^&.Hh  
          ElseIf p1x <> p3x And p2x = p4x Then v2#qs*sW8  
             tt = "ac_y_bd_n" Z*5]qh2r8  
          ElseIf p1x <> p3x And p2x <> p4x Then (i'wa6[E8  
             tt = "ac_y_bd_y" 4p&SlJ  
          End If qr/N?,  
        Select Case tt :n?}G0y  
             Case "ac_n_bd_y" TLzcQ|  
                'bd线段方程 Ks7kaX  
                k_bd = bdy / bdx )\0c2_w>  
                b_bd = p2y - k_bd * p2x VM ny>g&3  
                p_x = p1x l\-(li H  
                p_y = k_bd * p_x + b_bd fI(H :N  
             Case "ac_y_bd_n" X/wqfP  
                'ac线段方程 w*N9p8hb]  
                k_ac = acy / acx u`X}AKC  
                b_ac = p1y - k_ac * p1x W/R-~C e  
                p_x = p2x dv \ oVD  
                p_y = k_ac * p_x + b_ac Fx*IeIs(:~  
            Case "ac_y_bd_y" YI?y_S  
               'ac,bd线段都要求 [[u&=.Au  
               k_ac = acy / acx |7T!rnr  
               b_ac = p1y - k_ac * p1x e.g$|C^$m  
               k_bd = bdy / bdx o;:a6D`   
               b_bd = p2y - k_bd * p2x ph1veD<ZZ  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) t\+vTvT)RE  
               p_y = k_ac * p_x + b_ac 0:Lm=9o  
            End Select whg?X&j\V  
          rt(1) = p_x pRdO4?l  
          rt(2) = p_y 1z(y>`ZBq  
         dQFx]p3L  
    '计算最大半径 {z%%(,I  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) cYTX)]^u  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) /SD2e@x{U  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) l>9ZAI\^  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) c~Hq.K$d  
    Dim bb(5) As Single Hv>Hz*s_I  
      bb(1) = rr1 5k}UXRB?  
      bb(2) = rr2 (iiyptJ  
      bb(3) = rr3 4d3PF`,H`  
      bb(4) = rr4 \*w*Q(&3  
      nb = rr1 F3a"SKMW  
    For i = 1 To 4 7[V'3  
        If nb <= bb(i) Then x2TCw  
           nb = bb(i) $wVY)p9Q  
        End If nyPA`)5F0  
    Next i ZA ii"F  
        rt(0) = Sqr(nb) ^f1}:g  
        rr = rt() @,sg^KB  
      End If ]?Ru~N}  
             I#f<YbzD  
    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)  Ge[N5N>  
    \\x``*  
    有热压工艺方面的人才或者资料分享下; zj`!ZY?fv  
    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 ?OvtR:hC  
    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.