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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: 0*XsAz1,9  
    ^!\1q<@n  
    u4Nh_x8\Nr  
     
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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 &R9m,  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) v?VDASR2`  
    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 ^K<3_D>1>  
    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 r'*$'QY-N  
    离线safeng1122
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    只看该作者 2楼 发表于: 2013-04-08
    以下是几个重要的函数: Z5v dH5?!r  
    1.判断点在区域中函数 Tgz=I4g  
    2.计算夹角函数 ^m#tWb)f  
    3.转置函数 q!c=f!U?\l  
    4.得到区域中心点,及区域半径函数 Jc#D4e1#  
    5.再有就是若干个点抽取其中一部分;或者采用随机分布(该方法会有重合点,所以没采用) kO\ O$J^S  
    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 Wq4<9D  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single iAz0 A  
       cax = x2 - x1 N (4H}2  
       cay = y2 - y1 IAQ<|3Q  
       cbx = x2 - x3 tczJk1g}  
       cby = y2 - y3 q\@Zf}  
       mo_jj = cax * cbx + cay * cby 3Z?ornS  
       mo_ca = Sqr(cax * cax + cay * cay) %D4)Bqr  
       mo_cb = Sqr(cbx * cbx + cby * cby) q}Q G<%VR  
       cos_acb = mo_jj / (mo_ca * mo_cb) |`o|;A]  
       'ff_cos = cos_acb MDF_Xr-hZ  
       If cos_acb >= 1 Then |*c1S -#  
       nn = 0 !'N@ZZ  
       ElseIf cos_acb <= -1 Then "K(cDVQ  
       nn = 3.14159265258979 I;w!  
       Else +mWf$+w  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 4:/V|E\D  
       End If jC'h54 ,Mr  
       'ff_angle = nn un 5r9  
       ff_angle = nn * 180 / 3.14159265258979 fQ5v?(  
    End Function
    离线safeng1122
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    只看该作者 4楼 发表于: 2013-04-08
    '判断点在区域内函数 oMEW5.VX  
    Function point_in(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single, ppx As Single, ppy As Single) As Boolean ,1{qZ(l1  
    Dim aob, boc, cod, doa, sum As Single Q` &#u#  
      If ppx = p1x And ppy = p1y Then 4;AF\De  
         point_in = True J3mLjYy  
         Exit Function RxqNgun@  
      End If v7"VH90`!  
      If ppx = p2x And ppy = p2y Then /Z6lnm7wJ  
         point_in = True N)"8CvQL  
         Exit Function tBGLEeL/.  
      End If 4NID:<  
       If ppx = p3x And ppy = p3y Then O z6$u  
         point_in = True `-{l$Hn9|~  
         Exit Function i9L]h69r  
      End If 1L*[!QT4  
         KyNu8s k  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) _-C/s p^   
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) xfeED^?  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) Wo "s;Z  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) fM ID}S  
        sum = aob + boc + cod + doa ms0V1`  
        If 360.01 > sum And sum > 359.99 Then P4#i]7%  
           point_in = True ~6;I"0b5  
        Else D\_nqx9O  
           point_in = False |J!mM<*K  
        End If Zye04&x9k  
    End Function
    离线safeng1122
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    只看该作者 5楼 发表于: 2013-04-08
    '得到点半径,得到交点坐标函数 *F%1~  
    Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() t}k:wzZ@  
        '求得中心点坐标 S9!KI)  
    Dim tt As String %/uLyCUZ  
    Dim rt(3) As Single w8X5kk   
        '判断是否平行 'etA1]<N  
       acx = p3x - p1x @.7/lRr@bp  
       acy = p3y - p1y )>1}I_1j)  
       bdx = p4x - p2x )IcSdS0@M  
       bdy = p4y - p2y QwX81*nx  
       If acx * bdy = acy * bdx Then Ypzmc$Xfu  
          rt(0) = 0 oH w!~ c7  
          Exit Function >h8m)Q  
       Else hM]Z T5;<  
          '判断斜率存在否 &j:e<{@  
          If p1x = p3x And p2x <> p4x Then MZ}0.KmaZ  
             tt = "ac_n_bd_y" //c6vG  
          ElseIf p1x <> p3x And p2x = p4x Then ntH`\ )xi  
             tt = "ac_y_bd_n"  lPZ>#  
          ElseIf p1x <> p3x And p2x <> p4x Then }@HgFM"  
             tt = "ac_y_bd_y" \H .Cmm^I  
          End If dI\_I]  
        Select Case tt kqKT>xo4EZ  
             Case "ac_n_bd_y" "BT M,CB  
                'bd线段方程 /V*SI!C<f  
                k_bd = bdy / bdx >fYcr#i0[  
                b_bd = p2y - k_bd * p2x m+XHFU  
                p_x = p1x ?w(hPUd!2  
                p_y = k_bd * p_x + b_bd \C$e+qb~{  
             Case "ac_y_bd_n" M ]047W  
                'ac线段方程 R*pPUw\yn  
                k_ac = acy / acx _b<;n|^  
                b_ac = p1y - k_ac * p1x Z5TA4Q+Q  
                p_x = p2x =u}~\ 'd  
                p_y = k_ac * p_x + b_ac {{G3^ysa  
            Case "ac_y_bd_y" t)j$lmQn  
               'ac,bd线段都要求 :jv(-RTI  
               k_ac = acy / acx _OG9wi(Fpx  
               b_ac = p1y - k_ac * p1x aUNA` L  
               k_bd = bdy / bdx #~'d Y\&  
               b_bd = p2y - k_bd * p2x =l:V9u-I^  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) u)Kiwa  
               p_y = k_ac * p_x + b_ac [KR%8[e  
            End Select BR|0uJ.M  
          rt(1) = p_x *jhgCm  
          rt(2) = p_y I;rW!Hb  
         ifS#9N|8  
    '计算最大半径 *eHa4I  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) eW 4[2Q  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 9^DAlY,x.  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) s``a{ HZ  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) m4~ |z  
    Dim bb(5) As Single )A*53>JV  
      bb(1) = rr1 KH)-=IJ8  
      bb(2) = rr2 FiMM-c|  
      bb(3) = rr3 zwC ,,U  
      bb(4) = rr4 BDf M4  
      nb = rr1  [{2v}  
    For i = 1 To 4 fNi&r0/-t  
        If nb <= bb(i) Then sDBSc:5+e  
           nb = bb(i) F_0D)H)N@  
        End If w-JWMgY8w  
    Next i n@tt.n!{l  
        rt(0) = Sqr(nb) 1|8Bv0-b  
        rr = rt() Psf'^42(v  
      End If #C } +  
             3:Nc`tM_  
    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)  %"c;kvw  
    ?r(vXq\  
    有热压工艺方面的人才或者资料分享下; jtfC3E,U  
    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 `K0.6i [p  
    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.