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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: ##+|zka!U  
    /2N'SOX  
    m \o<a|  
     
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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: @ 32~#0a  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) RfH.WXi  
    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 l/1u>'  
    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 `B6*wE-|  
    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: MDV<[${   
    1.判断点在区域中函数 TL&`Ywy  
    2.计算夹角函数 4<V%7z_.B  
    3.转置函数 s%M#  
    4.得到区域中心点,及区域半径函数 (-S<9u-r  
    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) dbn9t7'{  
    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 -M]B;[^  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single hcn $uyP  
       cax = x2 - x1 uqz HS>GM  
       cay = y2 - y1 #jrtsv]  
       cbx = x2 - x3 SEfRU`  
       cby = y2 - y3 G5WQTMzf&  
       mo_jj = cax * cbx + cay * cby ~[8n+p+&X  
       mo_ca = Sqr(cax * cax + cay * cay) r ^=rs!f@  
       mo_cb = Sqr(cbx * cbx + cby * cby) Sg%h}]~   
       cos_acb = mo_jj / (mo_ca * mo_cb) ;x<5F+b  
       'ff_cos = cos_acb Vz.G!*>Dg  
       If cos_acb >= 1 Then Eep~3U  
       nn = 0 [8C|v61Y  
       ElseIf cos_acb <= -1 Then o*MiKgQ&  
       nn = 3.14159265258979 is~"yE7  
       Else n?KhBJx 4  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) *wk?{ U  
       End If <OH{7>V  
       'ff_angle = nn "Jahc.I  
       ff_angle = nn * 180 / 3.14159265258979 z`"*60b  
    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 kYhV1I  
    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 $:?Dyu(Il  
    Dim aob, boc, cod, doa, sum As Single xTU;rJV  
      If ppx = p1x And ppy = p1y Then q+znb'i-x  
         point_in = True |.4>#<$__  
         Exit Function >'lvZt  
      End If uTdx`>M,O  
      If ppx = p2x And ppy = p2y Then `fuQ t4  
         point_in = True "ejsz&n  
         Exit Function `h|Y0x  
      End If XDYQV.Bv  
       If ppx = p3x And ppy = p3y Then 3PjX;U|  
         point_in = True |KR8=-!7  
         Exit Function v <Ywfb  
      End If b'ZzDYN  
         4tEAi4H|`@  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) `;=-71Gn~  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) hj=qWGRgI  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 4]HW!J  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) %aI,K0\  
        sum = aob + boc + cod + doa ddS3;Rk2  
        If 360.01 > sum And sum > 359.99 Then }S$OE))u  
           point_in = True <vE|QxpR  
        Else Z2L7US -  
           point_in = False ~?4 BP%g-y  
        End If b^STegz  
    End Function
    离线safeng1122
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    只看该作者 5楼 发表于: 2013-04-08
    '得到点半径,得到交点坐标函数 YV _ 7 .+A  
    Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() 1S(n3(KRk$  
        '求得中心点坐标 r7sA;Y\  
    Dim tt As String 8f<y~L_(`  
    Dim rt(3) As Single Go!{@ xx>  
        '判断是否平行 @eZBwFe  
       acx = p3x - p1x 1{5t.  
       acy = p3y - p1y eh%{BXW[p  
       bdx = p4x - p2x &qK:LHhj  
       bdy = p4y - p2y u|Oc+qA(  
       If acx * bdy = acy * bdx Then ::+;PRy_E  
          rt(0) = 0 c3Gy1#f:#2  
          Exit Function %Oo f/q  
       Else @ze2'56F}  
          '判断斜率存在否 _-sFJi8B  
          If p1x = p3x And p2x <> p4x Then )Fp$ *]|  
             tt = "ac_n_bd_y" 3;FV^V'  
          ElseIf p1x <> p3x And p2x = p4x Then SuB8mPn  
             tt = "ac_y_bd_n" ,  O/IY  
          ElseIf p1x <> p3x And p2x <> p4x Then i6A9|G$H  
             tt = "ac_y_bd_y" :<s`)  
          End If ]=%6n@z'  
        Select Case tt #s81 k@#X  
             Case "ac_n_bd_y" _g fmo  
                'bd线段方程 o ^ \+Ua  
                k_bd = bdy / bdx Q-!gO  
                b_bd = p2y - k_bd * p2x +zd/<  
                p_x = p1x BVj(Q}f8  
                p_y = k_bd * p_x + b_bd 1<fW .Q)  
             Case "ac_y_bd_n" 6bc\ )n`  
                'ac线段方程 n((A:b  
                k_ac = acy / acx %$kd`Rl}  
                b_ac = p1y - k_ac * p1x k0O5c[ j  
                p_x = p2x a??8)=0|}  
                p_y = k_ac * p_x + b_ac UlXxG|  
            Case "ac_y_bd_y" a$h^<D ^  
               'ac,bd线段都要求 f>$RR_  
               k_ac = acy / acx AD^I1 ]2f  
               b_ac = p1y - k_ac * p1x yci}#,nb  
               k_bd = bdy / bdx W;cY g.W2  
               b_bd = p2y - k_bd * p2x +t%2V?  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) <G|i5/|7  
               p_y = k_ac * p_x + b_ac R|'W#"{@  
            End Select $.kJBRgV*  
          rt(1) = p_x tK .1 *  
          rt(2) = p_y In?#?:Q@&  
         qB,0(I1-!  
    '计算最大半径 q^sZP\i,*;  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) (xN1?qXB.  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 1AN$s  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) Osm))Ua(  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) j*gJP !  
    Dim bb(5) As Single TwI s _r:  
      bb(1) = rr1 "O0xh_Nr  
      bb(2) = rr2 S4 Uu/EX6S  
      bb(3) = rr3 t"YsIOT:O"  
      bb(4) = rr4 K)! ^NT  
      nb = rr1 HnKgD:  
    For i = 1 To 4 ,!@MLn  
        If nb <= bb(i) Then #"rK1Z  
           nb = bb(i) ZK'46lh  
        End If ;h+~xxu=X  
    Next i x51R:x(p  
        rt(0) = Sqr(nb) abT,"a\h  
        rr = rt() w6cl3J&  
      End If -qDqJ62mC  
             1u7D:h>#  
    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)  0AQ4:KV(Y  
    1WMZ$vsQUb  
    有热压工艺方面的人才或者资料分享下; _ f%s]  
    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 c]|vg=W  
    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.