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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: U:Y?2$#  
    XL:7$  
    ,O}zgf*H;  
     
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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: (~jOtUyT  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) 2h=RNU|  
    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 +mJAIjH  
    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 Fq8Z:;C8  
    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: U-@\V1;C  
    1.判断点在区域中函数 Cd4G&(=  
    2.计算夹角函数 (j(6%U  
    3.转置函数 [Mx+t3M  
    4.得到区域中心点,及区域半径函数 7*sB"_U2  
    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) ^Kn}{m/3Y  
    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 xT%CY(:9X  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ]\{EUx9  
       cax = x2 - x1 DUaj]V{_^  
       cay = y2 - y1 9BP-Iet  
       cbx = x2 - x3 ?Pa5skqR  
       cby = y2 - y3 2vynz,^ET  
       mo_jj = cax * cbx + cay * cby )gZ yW  
       mo_ca = Sqr(cax * cax + cay * cay) uKK+V6}!kj  
       mo_cb = Sqr(cbx * cbx + cby * cby) `On%1%k8  
       cos_acb = mo_jj / (mo_ca * mo_cb) ]`LMy t0  
       'ff_cos = cos_acb YM-,L-HMA  
       If cos_acb >= 1 Then  W+e  
       nn = 0 <%! EI@N  
       ElseIf cos_acb <= -1 Then "lB[IB)  
       nn = 3.14159265258979 'Je;3"@  
       Else rAgb<D@,H  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) l2i[wc"9  
       End If W 5-=,t  
       'ff_angle = nn 3{CXIS  
       ff_angle = nn * 180 / 3.14159265258979 ,#nyEE  
    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 Nzf tc  
    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 05Ak[OOU>  
    Dim aob, boc, cod, doa, sum As Single BKi@c\Wb  
      If ppx = p1x And ppy = p1y Then 1GE[*$vuq  
         point_in = True f]Xh7m(Gh  
         Exit Function \Cx2$<8  
      End If FG/1!8F  
      If ppx = p2x And ppy = p2y Then Kqm2TMO]>V  
         point_in = True <m'W{n%Pp  
         Exit Function ;ry~x:7L7  
      End If jBb:)  
       If ppx = p3x And ppy = p3y Then G .NGS%v  
         point_in = True ]V^ >aUlj  
         Exit Function ~m3Q^ue  
      End If n86LU Sj5  
         4}`z^P<C  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 50 8v:?^'  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) L xP%o  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 7v't# =  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) {\hjKP  
        sum = aob + boc + cod + doa h/k00hD60  
        If 360.01 > sum And sum > 359.99 Then sFt"2TVr3  
           point_in = True W[/Txc0$  
        Else 3N257]  
           point_in = False pLSh +*F  
        End If k'QI`@l&l  
    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 |P@N}P@  
    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() zG{P5@:.R  
        '求得中心点坐标 Wn2'uZ5If  
    Dim tt As String bb  M^J  
    Dim rt(3) As Single e.\dqt~%y  
        '判断是否平行 >$,P )cB'  
       acx = p3x - p1x 1_WP\@ O  
       acy = p3y - p1y SSxp!E'  
       bdx = p4x - p2x D6-R>"}  
       bdy = p4y - p2y (\ge7sE-oo  
       If acx * bdy = acy * bdx Then 1*" 7q9x  
          rt(0) = 0 e>6|# d  
          Exit Function E5!vw@,  
       Else /yHjd s  
          '判断斜率存在否 hjyM xg;Q?  
          If p1x = p3x And p2x <> p4x Then d~ +(g!  
             tt = "ac_n_bd_y" djH&)&q!  
          ElseIf p1x <> p3x And p2x = p4x Then v*[UG^+)  
             tt = "ac_y_bd_n" auga`*  
          ElseIf p1x <> p3x And p2x <> p4x Then (n`] sbx  
             tt = "ac_y_bd_y" , # =TputM  
          End If Ge_fU'F  
        Select Case tt HjIIhl?UY  
             Case "ac_n_bd_y" G9NI`]k  
                'bd线段方程 nNq<x^@83  
                k_bd = bdy / bdx v4<W57oH  
                b_bd = p2y - k_bd * p2x 4GbfA .u  
                p_x = p1x LN~mKoW  
                p_y = k_bd * p_x + b_bd )X?oBNsj  
             Case "ac_y_bd_n" !KMl'kswe:  
                'ac线段方程 }f;WYz5  
                k_ac = acy / acx /5)*epF+  
                b_ac = p1y - k_ac * p1x P0yDL:X[  
                p_x = p2x 6@TU9AZS `  
                p_y = k_ac * p_x + b_ac <o/!M6^:  
            Case "ac_y_bd_y" b"uO BB  
               'ac,bd线段都要求 cI P.5)Ca  
               k_ac = acy / acx u$ yXuFj/  
               b_ac = p1y - k_ac * p1x PChew3  
               k_bd = bdy / bdx .u>[m.  
               b_bd = p2y - k_bd * p2x H1f='k]SZ  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) |Fe[RGi+8  
               p_y = k_ac * p_x + b_ac <Y."()}GeH  
            End Select k:I,$"y4  
          rt(1) = p_x Pr1q X5>=  
          rt(2) = p_y y{/7z}d  
         mFg$;F  
    '计算最大半径 2HtsSS#0Q  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) u"q5 6}Q?]  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) hH 5}%/vF  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) K(i}?9WD  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) o!:Z?.!  
    Dim bb(5) As Single XHekz6_  
      bb(1) = rr1 kV+^1@"  
      bb(2) = rr2 }%p:Xv@X!  
      bb(3) = rr3 Qn7T{ BW  
      bb(4) = rr4 PQDLbSe)\  
      nb = rr1 p;>A:i  
    For i = 1 To 4 kh9'W<tE  
        If nb <= bb(i) Then n74\{`8]o  
           nb = bb(i) Ux7LN @4og  
        End If x>}ml\R  
    Next i @>HTbs6W  
        rt(0) = Sqr(nb) [02rs@c>  
        rr = rt() b%0p<*:a/  
      End If q)i %*IY  
             UB.1xcI  
    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)  z`zz8hK.  
    eFG/!b<17  
    有热压工艺方面的人才或者资料分享下; 50cVS)hG6d  
    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 gJQ#j~'  
    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.