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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: $ RDwy)9  
    9zKrFqhNo  
    Ej]:j8^W  
     
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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: <n)J~B^  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) 0 xUw}T6  
    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 c05kHB$O  
    3.网点区域密度可调;把区域分成若干小块,每块的密度不同即可 N:]71+  
    离线safeng1122
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    只看该作者 2楼 发表于: 2013-04-08
    以下是几个重要的函数: iz&$q]P8  
    1.判断点在区域中函数 5v f?E"\r  
    2.计算夹角函数 ,F,\bp}  
    3.转置函数 LX [_6  
    4.得到区域中心点,及区域半径函数 3 ?1qI'5  
    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) H6Mqy}4W  
    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 Fgf5OHX  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single NtuO&{}i  
       cax = x2 - x1 #Sxk[[KwH*  
       cay = y2 - y1 pSjJ u D  
       cbx = x2 - x3 wx a?.  
       cby = y2 - y3 r\OunGUP  
       mo_jj = cax * cbx + cay * cby =6XJr7Ay8u  
       mo_ca = Sqr(cax * cax + cay * cay) oNyVRH ZH  
       mo_cb = Sqr(cbx * cbx + cby * cby) :!SVpCt3  
       cos_acb = mo_jj / (mo_ca * mo_cb) s$cr|p;7#  
       'ff_cos = cos_acb }e7os0;s  
       If cos_acb >= 1 Then #DBg8  
       nn = 0 q#{.8H-X'  
       ElseIf cos_acb <= -1 Then 'pCZx9 *c  
       nn = 3.14159265258979 RZ(*%b<C  
       Else laR cEXj  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) PTU_<\  
       End If F/ZB%;O9  
       'ff_angle = nn B6N/nCvHK  
       ff_angle = nn * 180 / 3.14159265258979 qO;.{f  
    End Function
    离线safeng1122
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    只看该作者 4楼 发表于: 2013-04-08
    '判断点在区域内函数 {iGy@?d)zt  
    Function point_in(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single, ppx As Single, ppy As Single) As Boolean ans(^Up$  
    Dim aob, boc, cod, doa, sum As Single N('=qp9  
      If ppx = p1x And ppy = p1y Then o1kTB&E4B  
         point_in = True .3X5~OH  
         Exit Function xRX2u_f$<  
      End If wMW."gM|  
      If ppx = p2x And ppy = p2y Then ^(j}'p,  
         point_in = True Y FJw<5&  
         Exit Function C+0MzfLgf  
      End If l}bAwJ?  
       If ppx = p3x And ppy = p3y Then sf([8YUd  
         point_in = True &z;bX-"E  
         Exit Function 2 c 2lK  
      End If *1H8 &  
         @ 0'j;")XV  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) ~ u)} /  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y)  !^yH]v  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) D6$*#D3U  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) kB)u@`</mV  
        sum = aob + boc + cod + doa %O69A$Q[m  
        If 360.01 > sum And sum > 359.99 Then ,QeJ;U  
           point_in = True GM~Ek] 9C%  
        Else `!udU,|N  
           point_in = False Y>/T+ub  
        End If =bBV A0y  
    End Function
    离线safeng1122
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    只看该作者 5楼 发表于: 2013-04-08
    '得到点半径,得到交点坐标函数 :>|dE%/e$  
    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() ^ Fnag]qQ  
        '求得中心点坐标 nO+-o;DbC  
    Dim tt As String @!Z1*a.  
    Dim rt(3) As Single $} @gR] Z  
        '判断是否平行 o"V+W  
       acx = p3x - p1x Ob&m&2s,  
       acy = p3y - p1y O#do\:(b  
       bdx = p4x - p2x 8\X-]Gh\^  
       bdy = p4y - p2y `0_,>Z  
       If acx * bdy = acy * bdx Then 8345 H  
          rt(0) = 0 +n%d,Pz  
          Exit Function =h@t#-Z"  
       Else i91 =h   
          '判断斜率存在否 Hl#?#A5  
          If p1x = p3x And p2x <> p4x Then *x &  
             tt = "ac_n_bd_y" Ox5Es  
          ElseIf p1x <> p3x And p2x = p4x Then )H>?K0I  
             tt = "ac_y_bd_n"  :I{9k~  
          ElseIf p1x <> p3x And p2x <> p4x Then 4J1_rMfh  
             tt = "ac_y_bd_y" 9Tg k=  
          End If _-T^YeQ/  
        Select Case tt s&4&\Aq}x#  
             Case "ac_n_bd_y" A+MG?k>yg  
                'bd线段方程 |ms.  
                k_bd = bdy / bdx iYf)FPET  
                b_bd = p2y - k_bd * p2x zIA)se Js  
                p_x = p1x kz/"5gX:  
                p_y = k_bd * p_x + b_bd 9sN#l  
             Case "ac_y_bd_n" ``-pjD(t  
                'ac线段方程 Sy/Z}H  
                k_ac = acy / acx JvsL]yRT  
                b_ac = p1y - k_ac * p1x [}=a6Q>)  
                p_x = p2x l>?f+70  
                p_y = k_ac * p_x + b_ac sU+8'&vBp  
            Case "ac_y_bd_y" 2 :4o`o  
               'ac,bd线段都要求 v5 @9  
               k_ac = acy / acx =axuLP))  
               b_ac = p1y - k_ac * p1x vGnFX0?h  
               k_bd = bdy / bdx e*y l_iW  
               b_bd = p2y - k_bd * p2x (HXKa][T  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) ]8htL#C  
               p_y = k_ac * p_x + b_ac va:<W H  
            End Select ifNyVE Hy  
          rt(1) = p_x T/.UMw  
          rt(2) = p_y w!pj);jy{  
         &ty-aB=F  
    '计算最大半径 EOZ 6F-':  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) A>8~deZ9  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) BCuoFw)  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ULhXyItL  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) WD_{bd)  
    Dim bb(5) As Single (< >Lfn  
      bb(1) = rr1 rvU^W+d  
      bb(2) = rr2 l^^Z}3^Rk  
      bb(3) = rr3 #].q jOj  
      bb(4) = rr4 >& 4):  
      nb = rr1 $)  M2  
    For i = 1 To 4 `-e9#diQe  
        If nb <= bb(i) Then X`3_ yeQc  
           nb = bb(i) +_{cq@c  
        End If | TG6-e_  
    Next i ,6X__Z#rGT  
        rt(0) = Sqr(nb) <d"nz:e  
        rr = rt() w?zy/+N~  
      End If  iDx(qdla  
             d >NO}MR  
    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)  \/<VJB uV  
    ~  z3J4s  
    有热压工艺方面的人才或者资料分享下; \QC{38}  
    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 &z1U0uk  
    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.