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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: 9~,eu  
    7B% @f9g  
    uB,B%XHj  
     
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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: )X^nzhZ2O"  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) TTE#7\K~B  
    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 RL&3 P@r  
    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 h'-TZXs0e1  
    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: a|7V{pp=M  
    1.判断点在区域中函数 C6P6hJm  
    2.计算夹角函数 huTJ a2  
    3.转置函数 F'#3wCzt  
    4.得到区域中心点,及区域半径函数 ;c>Yr ?^  
    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) @W @L%<  
    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 gvU6p[D  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single vv8$u3H  
       cax = x2 - x1 Z0'3.D,l  
       cay = y2 - y1 ~clWG-i  
       cbx = x2 - x3 uo{QF5z]  
       cby = y2 - y3 v[|iuOU  
       mo_jj = cax * cbx + cay * cby w}1)am &pD  
       mo_ca = Sqr(cax * cax + cay * cay) I&xRK'  
       mo_cb = Sqr(cbx * cbx + cby * cby) Qxvz}r.l]  
       cos_acb = mo_jj / (mo_ca * mo_cb) JIQzP?+?  
       'ff_cos = cos_acb [)Ge^yI7  
       If cos_acb >= 1 Then vn_avYwiy  
       nn = 0 an7N<-?  
       ElseIf cos_acb <= -1 Then YG8oy!Zl  
       nn = 3.14159265258979 wd]Yjr#%Ii  
       Else evs2dz<eA  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 7RLh#D|  
       End If cnc$^[c  
       'ff_angle = nn B 3h<K}  
       ff_angle = nn * 180 / 3.14159265258979 dg!sRm1iZ:  
    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 pE< ' '`  
    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 7h<K)aT  
    Dim aob, boc, cod, doa, sum As Single !+6l.`2WI  
      If ppx = p1x And ppy = p1y Then 8tL61x{]  
         point_in = True /LD*8 a  
         Exit Function yR!>80$j  
      End If 4_Jdh48-d  
      If ppx = p2x And ppy = p2y Then &zp5do;m  
         point_in = True QD<4(@c5|  
         Exit Function } :mI6zsNj  
      End If ^ \?9W  
       If ppx = p3x And ppy = p3y Then B<R-|-#  
         point_in = True t5k&xV=~ #  
         Exit Function YZ>cE#  
      End If O,{ (  
         p(G?  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) Ae#6=]V+^  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) w}0Qy  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) T42g4j/l~  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) +Xp;T`,v  
        sum = aob + boc + cod + doa 6bGD8 ;  
        If 360.01 > sum And sum > 359.99 Then {P-PH$ E-  
           point_in = True Kq$Zyf=E  
        Else A E711l-  
           point_in = False nf4 P2<L!  
        End If s]iOC6v  
    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 (UZ*36@PJx  
    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() X$9QW3.M  
        '求得中心点坐标 1l_}O1  
    Dim tt As String .F2nF8  
    Dim rt(3) As Single l5[xJH  
        '判断是否平行 FW DuH`-5  
       acx = p3x - p1x 6bNW1]rD  
       acy = p3y - p1y p|d9 g ^  
       bdx = p4x - p2x ]eW|}V7A:  
       bdy = p4y - p2y 0EOX@;}  
       If acx * bdy = acy * bdx Then CD_f[u  
          rt(0) = 0 aS vE  
          Exit Function #!jRY!2Vt  
       Else Ij1 ]GZ`A(  
          '判断斜率存在否 k+[KD>;1  
          If p1x = p3x And p2x <> p4x Then ?+5{HFx  
             tt = "ac_n_bd_y" ogqV]36Idh  
          ElseIf p1x <> p3x And p2x = p4x Then b3xkJ&Z  
             tt = "ac_y_bd_n" V(u2{4gZ  
          ElseIf p1x <> p3x And p2x <> p4x Then DA$Q-  
             tt = "ac_y_bd_y" _}@n_E  
          End If Db=>7@h3C  
        Select Case tt //lZmyP?  
             Case "ac_n_bd_y" rR@n> Xx  
                'bd线段方程 ~8t}*oV   
                k_bd = bdy / bdx @/~k8M/  
                b_bd = p2y - k_bd * p2x ]B3FTqR{i  
                p_x = p1x AvE^ F1  
                p_y = k_bd * p_x + b_bd i*R:WTw#  
             Case "ac_y_bd_n" &&1Y"dFs  
                'ac线段方程 93IOG{OAY  
                k_ac = acy / acx lE)rRG+JLW  
                b_ac = p1y - k_ac * p1x I ~L Q1 _  
                p_x = p2x _(`X .D  
                p_y = k_ac * p_x + b_ac `u~  
            Case "ac_y_bd_y" z<6P3x|  
               'ac,bd线段都要求 +){a[@S@x  
               k_ac = acy / acx 9]@J*A}=l  
               b_ac = p1y - k_ac * p1x ;"Y;l=9_  
               k_bd = bdy / bdx K#UA M .  
               b_bd = p2y - k_bd * p2x &]6K]sWJK{  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) -ouJf}#R  
               p_y = k_ac * p_x + b_ac tH,K\v`f  
            End Select sN1*Zp'(  
          rt(1) = p_x f=_?<I{  
          rt(2) = p_y d]ZC8<`w  
         ZqbM%(=z(`  
    '计算最大半径 {0vbC/?]  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) h0 GdFWN  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) $^=jPk]+  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) "gN*J)!x  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) i %hn  
    Dim bb(5) As Single B N*,!fx  
      bb(1) = rr1 'RV\}gqZ  
      bb(2) = rr2 ,rFLpQl  
      bb(3) = rr3 t7oz9fSz=?  
      bb(4) = rr4 k;fnC+Y$s  
      nb = rr1 K~Au?\{  
    For i = 1 To 4  %*5g<5  
        If nb <= bb(i) Then a&s"# j  
           nb = bb(i) )_ b@~fC  
        End If =*:[(Py1  
    Next i /ik)4]>  
        rt(0) = Sqr(nb) ;8L+_YCa  
        rr = rt() oa&US_  
      End If TtwJ,&b  
             86[RH!e  
    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)  f7_\).T  
    Edf=?K+\!i  
    有热压工艺方面的人才或者资料分享下; dDv{9D,  
    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 IKMs Y5i  
    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.