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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: %zg&eFRHI  
    n,eO6X 4  
    0w?\KHT  
     
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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: Bfw]#"N`  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) Qn> 0s  
    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 >/;V_(  
    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 @A(*&PU>j  
    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: d[ql7  
    1.判断点在区域中函数 0sW=;R2  
    2.计算夹角函数 i,>yIPBU!  
    3.转置函数 X 10(oT  
    4.得到区域中心点,及区域半径函数 gE^ {@^  
    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) '6*^s&H~  
    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 ej dYh $  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single cOa.]Kk  
       cax = x2 - x1 8/X#thG  
       cay = y2 - y1 mZ sftby}  
       cbx = x2 - x3 ]MJyBz+k  
       cby = y2 - y3 dD@k{5  
       mo_jj = cax * cbx + cay * cby 0,*clvH\;  
       mo_ca = Sqr(cax * cax + cay * cay) D. !m*oq  
       mo_cb = Sqr(cbx * cbx + cby * cby) kxU <?0  
       cos_acb = mo_jj / (mo_ca * mo_cb) +u;f]p  
       'ff_cos = cos_acb 7)sEW#d!  
       If cos_acb >= 1 Then "HTp1  
       nn = 0 Fl\X&6k  
       ElseIf cos_acb <= -1 Then wb^Yg9  
       nn = 3.14159265258979 sev^  
       Else *'=JT#  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ;Hr FPx&d1  
       End If 46c7f*1l  
       'ff_angle = nn D@"g0SW4  
       ff_angle = nn * 180 / 3.14159265258979 iQsv^K!\  
    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 gAt[kW< n  
    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 Ek\f x*Lz  
    Dim aob, boc, cod, doa, sum As Single J~7E8  
      If ppx = p1x And ppy = p1y Then {H OvJ`tM  
         point_in = True KfpDPwP@  
         Exit Function $#ks`$v M  
      End If QA_SS'*  
      If ppx = p2x And ppy = p2y Then u=B_cA}:  
         point_in = True Z'c{4b`N  
         Exit Function F#S^Q`  
      End If .sNUU 3xSC  
       If ppx = p3x And ppy = p3y Then 1;E[Ml  
         point_in = True R=ddQ:W6g  
         Exit Function g;)xf?A9q  
      End If {6Tw+/`P  
         j3 d=O!  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) M,1Yce%+}  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 2Wz/s 0`  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) o"D`_ER  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) [oN}zZP]  
        sum = aob + boc + cod + doa IE*GF27n  
        If 360.01 > sum And sum > 359.99 Then AnVj '3  
           point_in = True ?Pz:H/ $  
        Else )yp+!\  
           point_in = False r2?-QvQ  
        End If  `=b)fE  
    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 \wRbhN  
    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() J \U}U'qP  
        '求得中心点坐标 8XtZF,Du  
    Dim tt As String %Y8#I3jVJ  
    Dim rt(3) As Single ~5$V8yfx h  
        '判断是否平行 X~XpX7d!  
       acx = p3x - p1x p~1,[]k  
       acy = p3y - p1y b*=eMcd  
       bdx = p4x - p2x g+BW~e)  
       bdy = p4y - p2y c"R`7P  
       If acx * bdy = acy * bdx Then z VleJ!d  
          rt(0) = 0 q:N"mp<%  
          Exit Function m@o/W  
       Else FNlzpCT~L  
          '判断斜率存在否 v,w/g|  
          If p1x = p3x And p2x <> p4x Then ZY-UQ4_|u  
             tt = "ac_n_bd_y" $ hwJjSZ0  
          ElseIf p1x <> p3x And p2x = p4x Then QCkPua9  
             tt = "ac_y_bd_n" td-2[Sy  
          ElseIf p1x <> p3x And p2x <> p4x Then \/,54c2  
             tt = "ac_y_bd_y" FyYD7E  
          End If }.O,P'k  
        Select Case tt 4$9WJ ~V{  
             Case "ac_n_bd_y" 88 ~BE ^  
                'bd线段方程 +=#sa m*i  
                k_bd = bdy / bdx Lf_`8Ux  
                b_bd = p2y - k_bd * p2x t4)~A5s  
                p_x = p1x qPsf`nI7  
                p_y = k_bd * p_x + b_bd r@L19d)J  
             Case "ac_y_bd_n" pk2OZ,14Mj  
                'ac线段方程 5D0O.v  
                k_ac = acy / acx {8D`A;KD  
                b_ac = p1y - k_ac * p1x >?s[g)np  
                p_x = p2x `.Z MwA  
                p_y = k_ac * p_x + b_ac VS0 &[bl  
            Case "ac_y_bd_y" KP" lz  
               'ac,bd线段都要求 oiYI$ql3L  
               k_ac = acy / acx 1~\YJEsb}d  
               b_ac = p1y - k_ac * p1x 9:zW$Gt&  
               k_bd = bdy / bdx eqD|3YX  
               b_bd = p2y - k_bd * p2x z zL@3/<j  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) :f (UZmV$  
               p_y = k_ac * p_x + b_ac zr%2oFeX,  
            End Select E O^j,x g  
          rt(1) = p_x ~i 'Ib_%h  
          rt(2) = p_y 9[}L=n  
         Yt79W  
    '计算最大半径 }$5S@,  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) Lqy]bnY  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) Dz$GPA   
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) o/273I  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) t|q@~B :  
    Dim bb(5) As Single 71`)@y,Z,  
      bb(1) = rr1 4'JuK{/ A7  
      bb(2) = rr2 "IbXKS>t  
      bb(3) = rr3 lA}(63j+b  
      bb(4) = rr4 u*:B 9E  
      nb = rr1 Z{"/Ae5]  
    For i = 1 To 4 F|\^O[#R  
        If nb <= bb(i) Then SYkLia(Ty  
           nb = bb(i) sd|5oz )  
        End If ^hPREbD+f  
    Next i 4DaLt&1  
        rt(0) = Sqr(nb) >jxo,xz  
        rr = rt() }gw \w?/  
      End If V'TBt=!=]  
             +\~.cP7[  
    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)  rlUo#  
    o2AfMSt.  
    有热压工艺方面的人才或者资料分享下; ^,-2";2Xh  
    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 c5 ^CWk K  
    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.