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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: f1J %]g!  
    r@yD8D \  
    JjQVzkE  
     
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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>7_k   
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) \K}aQKB/j  
    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 SOj`Y|6^:  
    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 ) $#(ZL^m  
    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: 7wi%j!  
    1.判断点在区域中函数 OpQ8\[X+  
    2.计算夹角函数 %t[K36,p  
    3.转置函数 CKd3w8;  
    4.得到区域中心点,及区域半径函数 vYdlSe=6G  
    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) |!}wF}iLc)  
    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 FUqt)YHi  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single $"fzBM?5  
       cax = x2 - x1 mf2Mx=oy  
       cay = y2 - y1 ET+'Pj3  
       cbx = x2 - x3 Noz&noq  
       cby = y2 - y3 9|3o<  
       mo_jj = cax * cbx + cay * cby _-TOeP8#94  
       mo_ca = Sqr(cax * cax + cay * cay) L$hc,  
       mo_cb = Sqr(cbx * cbx + cby * cby) h[Mdr  
       cos_acb = mo_jj / (mo_ca * mo_cb) DxfMqH[vs  
       'ff_cos = cos_acb 7Ud'd<  
       If cos_acb >= 1 Then ]]/lC  
       nn = 0 }p{;^B  
       ElseIf cos_acb <= -1 Then c,$mWTC  
       nn = 3.14159265258979 DqlK.  
       Else <\ETPL,<  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) wko2M[  
       End If '=#5(O%pp  
       'ff_angle = nn =YHt9fb$c  
       ff_angle = nn * 180 / 3.14159265258979 Spo +@G  
    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 ?Pnx ~m{%*  
    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 c'rd$  
    Dim aob, boc, cod, doa, sum As Single B{PLIisc  
      If ppx = p1x And ppy = p1y Then (#z;(EN0t  
         point_in = True Qi:j)uDW  
         Exit Function Snx<]|  
      End If u>|"28y  
      If ppx = p2x And ppy = p2y Then T.2ZBG ~|[  
         point_in = True 9[sG1eP!  
         Exit Function S+pP!YX  
      End If }{mG/(LX8  
       If ppx = p3x And ppy = p3y Then 7}o6_i  
         point_in = True !qw4mN  
         Exit Function !7c'<[+Hm  
      End If n1?}Xq|  
         ^6qjSfFW}  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) N8 M'0i?  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) u<kD}  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) T3rn+BxF7  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 8Z!*[c>K-?  
        sum = aob + boc + cod + doa  0Ve%.k  
        If 360.01 > sum And sum > 359.99 Then |Ng"C`$oqv  
           point_in = True 6ZOAmH fs  
        Else f?0D%pxc}&  
           point_in = False ,ey0:.!;  
        End If ~<eVl l=  
    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 [?I/Uo8  
    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() RJ*F>2  
        '求得中心点坐标 ^Xa*lR 3  
    Dim tt As String 'z-D%sCA  
    Dim rt(3) As Single Wvb Eh|y  
        '判断是否平行 Wxs>osq  
       acx = p3x - p1x GmAj</~  
       acy = p3y - p1y )2]a8JVf  
       bdx = p4x - p2x 9t}J|09i  
       bdy = p4y - p2y wibwyzo  
       If acx * bdy = acy * bdx Then rg*^w!   
          rt(0) = 0 D2)i3vFB  
          Exit Function ZMe}M!V  
       Else {wv&t R;  
          '判断斜率存在否 [,GU5,o  
          If p1x = p3x And p2x <> p4x Then 6W:1>,xS  
             tt = "ac_n_bd_y" Ju4.@  
          ElseIf p1x <> p3x And p2x = p4x Then w49{-Pp[  
             tt = "ac_y_bd_n" qPUA!-'  
          ElseIf p1x <> p3x And p2x <> p4x Then (M8h y4Ex  
             tt = "ac_y_bd_y" *(p7NYf1  
          End If !3 ?yG  
        Select Case tt *:[b'D!A  
             Case "ac_n_bd_y" Vq U|kv  
                'bd线段方程 7dHIW!OA  
                k_bd = bdy / bdx w#<p^CS  
                b_bd = p2y - k_bd * p2x @ge LW!  
                p_x = p1x `{<JC{yc?  
                p_y = k_bd * p_x + b_bd ]'e A O  
             Case "ac_y_bd_n" #EFMgQO  
                'ac线段方程 t*s!0 'Y  
                k_ac = acy / acx k{1b20  
                b_ac = p1y - k_ac * p1x KDBY9`08  
                p_x = p2x V pH|R  
                p_y = k_ac * p_x + b_ac +nzTxpcP@K  
            Case "ac_y_bd_y" 4@mso+tk  
               'ac,bd线段都要求 ]Ly8s#<g]N  
               k_ac = acy / acx 4gya]  
               b_ac = p1y - k_ac * p1x DUhT>,~]  
               k_bd = bdy / bdx p&uCp7]U  
               b_bd = p2y - k_bd * p2x q#|r   
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) M_; w %FV  
               p_y = k_ac * p_x + b_ac hRLKb}  
            End Select 9ClF<5?M  
          rt(1) = p_x 58PKx5`D  
          rt(2) = p_y H<XlUCr_~+  
         8lpzSJP4k  
    '计算最大半径 l<Lz{)OR  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 5Fh8*8u6hL  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 2$3kKY6$e  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) =nw0# '  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) w0X$rl1  
    Dim bb(5) As Single gLV^Z6eE  
      bb(1) = rr1 VT Vm7l  
      bb(2) = rr2 }`#B f  
      bb(3) = rr3 6}"lm]b  
      bb(4) = rr4 ~n8F7  
      nb = rr1 v/x*]c!"`  
    For i = 1 To 4 K]9tc)  
        If nb <= bb(i) Then P.!;Uf}32  
           nb = bb(i) Q Y@nE  
        End If HI z9s4Y_  
    Next i &%}bRPUl  
        rt(0) = Sqr(nb) ?N(u4atC  
        rr = rt() \1~I04'=  
      End If N:d D*[QZ  
             .1Vu-@  
    End Function
    离线lifei0715
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    只看该作者 6楼 发表于: 2013-04-08
    高手啊.人才啊.
    离线safeng1122
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    只看该作者 7楼 发表于: 2013-04-09
    回 lifei0715 的帖子
    lifei0715:高手啊.人才啊. (2013-04-08 19:15)  *2w_oKE'+5  
    |`N$>9qN  
    有热压工艺方面的人才或者资料分享下; e5]&1^+  
    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 FSI]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.