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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: /!3ZWXY\  
    q,B3ru.?d  
    }zFf0.82  
     
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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: AL$W+')  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) *AZ?~ i^o  
    2.需要定义光轴的方向;简便的方法就是指定光源坐标,及网点区域坐标,这样光轴就确定了 *>jjMyn  
    3.网点区域密度可调;把区域分成若干小块,每块的密度不同即可 }e<'BIM E  
    离线safeng1122
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    只看该作者 2楼 发表于: 2013-04-08
    以下是几个重要的函数: ]q{ PDZ   
    1.判断点在区域中函数 W>B^S  
    2.计算夹角函数 !X|k"km"  
    3.转置函数 wtXY: O  
    4.得到区域中心点,及区域半径函数 Py|;kF~![  
    5.再有就是若干个点抽取其中一部分;或者采用随机分布(该方法会有重合点,所以没采用) 7^$)VBQ/  
    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 0VN7/=n|  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single @x1 %)1  
       cax = x2 - x1 %r%So_^  
       cay = y2 - y1 y ,E.SB  
       cbx = x2 - x3 _qn?2u3mnR  
       cby = y2 - y3 /b5>Qp  
       mo_jj = cax * cbx + cay * cby *5k+t  
       mo_ca = Sqr(cax * cax + cay * cay) ACg;CTB b  
       mo_cb = Sqr(cbx * cbx + cby * cby) ;o0#(xVz  
       cos_acb = mo_jj / (mo_ca * mo_cb) s~^}F+n  
       'ff_cos = cos_acb 3J~0O2  
       If cos_acb >= 1 Then K R,z^9  
       nn = 0 `'i( U7?  
       ElseIf cos_acb <= -1 Then ;au*V5a%  
       nn = 3.14159265258979 u%3i0BajY  
       Else yb2}_k.JG  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 6)qp*P$L  
       End If Ipe n  
       'ff_angle = nn }4&/VvN  
       ff_angle = nn * 180 / 3.14159265258979 p@~ic#X  
    End Function
    离线safeng1122
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    只看该作者 4楼 发表于: 2013-04-08
    '判断点在区域内函数 4;<ut$G  
    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 \]uV!)V5B  
    Dim aob, boc, cod, doa, sum As Single ) 1 m">s4  
      If ppx = p1x And ppy = p1y Then ",yc0 2<  
         point_in = True M5g\s;y;  
         Exit Function 3B0PGvCI1  
      End If ,WD X(  
      If ppx = p2x And ppy = p2y Then .fAv*pUzU  
         point_in = True aC%&U4OS  
         Exit Function r)^vO+3u  
      End If k V;fD$iW;  
       If ppx = p3x And ppy = p3y Then k*?I>%^6#T  
         point_in = True s58 C2  
         Exit Function t `kui.  
      End If Qm4o7x{q  
         */^QH@P  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) OsqN B'X  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 0[Ht_qxb  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ^uBxgWIC  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) iK5_u2]Q  
        sum = aob + boc + cod + doa x/!5K|c  
        If 360.01 > sum And sum > 359.99 Then q%Yn;g|_  
           point_in = True bD ^b  
        Else wE]K~y!`  
           point_in = False ,m_WR7!$E  
        End If 99xEm  
    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 t>=fTkB  
    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() 0k)rc$eDF+  
        '求得中心点坐标 w| `h[/,  
    Dim tt As String 0:w"M<80  
    Dim rt(3) As Single 'k;rH !R  
        '判断是否平行 1W7% 1FA  
       acx = p3x - p1x BTgG4F/)  
       acy = p3y - p1y I[)%,jd  
       bdx = p4x - p2x y!tC20Q   
       bdy = p4y - p2y CI353-`  
       If acx * bdy = acy * bdx Then HK`I\,K  
          rt(0) = 0 wLK07e(  
          Exit Function (aOv#Vor]%  
       Else !?c|XdjZ  
          '判断斜率存在否 .<@8gNm3  
          If p1x = p3x And p2x <> p4x Then }PTV] q%  
             tt = "ac_n_bd_y" V"c 6Kdtd  
          ElseIf p1x <> p3x And p2x = p4x Then y@0E[/O  
             tt = "ac_y_bd_n" [sB 9gY(  
          ElseIf p1x <> p3x And p2x <> p4x Then X 1 57$  
             tt = "ac_y_bd_y" :#@= B]  
          End If {~Rk2:gx  
        Select Case tt }gJ(DbnV  
             Case "ac_n_bd_y" 1UPC e  
                'bd线段方程 S$QG.K:<!  
                k_bd = bdy / bdx PRHCrHs  
                b_bd = p2y - k_bd * p2x hjZKUM G(k  
                p_x = p1x R(q~ -3~  
                p_y = k_bd * p_x + b_bd d3=KTTi\  
             Case "ac_y_bd_n" DI+fwXeg  
                'ac线段方程 ``wSc0\  
                k_ac = acy / acx BD(Z5+EU1  
                b_ac = p1y - k_ac * p1x t+9][Adf  
                p_x = p2x '7XIhN9  
                p_y = k_ac * p_x + b_ac ,^uEYT}j  
            Case "ac_y_bd_y" Djg,Lvhm  
               'ac,bd线段都要求 FCnm1x#  
               k_ac = acy / acx Y1]n^  
               b_ac = p1y - k_ac * p1x +E{|63~q  
               k_bd = bdy / bdx yu;P +G  
               b_bd = p2y - k_bd * p2x iof-7{+3_  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) 6I%5Q4Ll  
               p_y = k_ac * p_x + b_ac iyg*Xbmi~.  
            End Select O#F4WWF  
          rt(1) = p_x EOCN&_Z;  
          rt(2) = p_y [eC2"&}  
         tCdqh-   
    '计算最大半径 V,%=AR5  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) Z'\h  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) cXKjrL[b  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) >r !|sC  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) g*_cP U0~m  
    Dim bb(5) As Single Q\ 0cvmU  
      bb(1) = rr1 [n :<8ho  
      bb(2) = rr2 NuQdSj_>  
      bb(3) = rr3 >Wv;R2|  
      bb(4) = rr4 T\D}kQM  
      nb = rr1 "vOwd.(?N  
    For i = 1 To 4 ,%M$0poKM  
        If nb <= bb(i) Then tNbN7yI  
           nb = bb(i) v_DedVhe  
        End If )v.=jup[  
    Next i oC0qG[yp9S  
        rt(0) = Sqr(nb) |>dI/_'  
        rr = rt() . QBF`Rz  
      End If E>D_V@,/  
             $w`=z<2yo1  
    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)  iT3BF"ZqBO  
    C~,a!qY  
    有热压工艺方面的人才或者资料分享下; 0l)~i' '  
    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 #Z?A2r!1  
    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.