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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: k5.Lna  
    ;P%1j|7  
    p xa*'h"b^  
     
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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: co|aC!7  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) 3>`mI8 $t  
    2.需要定义光轴的方向;简便的方法就是指定光源坐标,及网点区域坐标,这样光轴就确定了 9u}Hmb  
    3.网点区域密度可调;把区域分成若干小块,每块的密度不同即可 rgtT~$S  
    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: VfC<WVYiZ  
    1.判断点在区域中函数 ]]9R mh=  
    2.计算夹角函数 <~'"<HwtK  
    3.转置函数 qqr?!vem6  
    4.得到区域中心点,及区域半径函数 Pz|>"'  
    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) /dQl)tL  
    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 ,nLy4T&"  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single %D}kD6=  
       cax = x2 - x1 (%e .:W${  
       cay = y2 - y1 9_rYBX  
       cbx = x2 - x3 O%zU-_|*  
       cby = y2 - y3 *,8^@(th  
       mo_jj = cax * cbx + cay * cby mD0f<gJ1  
       mo_ca = Sqr(cax * cax + cay * cay) YYl4"l  
       mo_cb = Sqr(cbx * cbx + cby * cby) [OV"}<V  
       cos_acb = mo_jj / (mo_ca * mo_cb) ](9Xvy  
       'ff_cos = cos_acb RJ ||}5  
       If cos_acb >= 1 Then NI}yVV  
       nn = 0 K>r,(zgVc  
       ElseIf cos_acb <= -1 Then 5k3b3&  
       nn = 3.14159265258979 YY((V@|K  
       Else zH4D8@[7O  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ?U5{Wa85D  
       End If # 448-8x  
       'ff_angle = nn |\<`Ib4j  
       ff_angle = nn * 180 / 3.14159265258979 p7VTa~\zA  
    End Function
    离线safeng1122
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    只看该作者 4楼 发表于: 2013-04-08
    '判断点在区域内函数 5k3n\sqZA  
    Function point_in(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single, ppx As Single, ppy As Single) As Boolean w%VU/6~  
    Dim aob, boc, cod, doa, sum As Single Z!#!Gu*V  
      If ppx = p1x And ppy = p1y Then z8~NZ;A  
         point_in = True ./k/KSR  
         Exit Function k\YG^I  
      End If `PdQX.wN  
      If ppx = p2x And ppy = p2y Then t#/YN.@r  
         point_in = True a %'the  
         Exit Function  u\x}8pn  
      End If ?)?Ng}  
       If ppx = p3x And ppy = p3y Then V _/%b)*  
         point_in = True Un(aW=PQ0  
         Exit Function /y#f3r+*2  
      End If e7r -R3_  
         g^2OkV(  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) !/*\}\'4  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) E7 Ul;d  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) gQelD6c  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) d>&,9c%  
        sum = aob + boc + cod + doa =:,g  
        If 360.01 > sum And sum > 359.99 Then *74MWF@IY  
           point_in = True +I:Unp  
        Else B6nX$T4zP  
           point_in = False vq0Tk bzs  
        End If PbgP\JeX  
    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 f:,DWw`B  
    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() 8f 4b&ah  
        '求得中心点坐标 f#"J]p  
    Dim tt As String 9r<J"%*Q  
    Dim rt(3) As Single T_ <@..C  
        '判断是否平行 @#>rYAb8,  
       acx = p3x - p1x ~i{(<.he  
       acy = p3y - p1y -1_)LO&H  
       bdx = p4x - p2x 7~% ?#  
       bdy = p4y - p2y f=Gg9bnm3  
       If acx * bdy = acy * bdx Then ")5":V~fN  
          rt(0) = 0 T#Z^s~7&I  
          Exit Function ,vawzq[oSy  
       Else !cLo> ,4  
          '判断斜率存在否 9Cp-qA%t  
          If p1x = p3x And p2x <> p4x Then [z\$?VJspQ  
             tt = "ac_n_bd_y" q=m'^ ,gPS  
          ElseIf p1x <> p3x And p2x = p4x Then G]tn i  
             tt = "ac_y_bd_n" 8)3*6+D  
          ElseIf p1x <> p3x And p2x <> p4x Then "5!oi]@>(  
             tt = "ac_y_bd_y" |\t-g" ~sN  
          End If *?>T,gx}  
        Select Case tt CL;}IBd a  
             Case "ac_n_bd_y" _p/UsJ  
                'bd线段方程 Tc:)- z[o  
                k_bd = bdy / bdx j#x6  
                b_bd = p2y - k_bd * p2x 4G0m\[Du  
                p_x = p1x |4z IfAO  
                p_y = k_bd * p_x + b_bd RnE4<Cy  
             Case "ac_y_bd_n" F4z{LhZ  
                'ac线段方程 ~?Pw& K2  
                k_ac = acy / acx $dC?Tl|B0  
                b_ac = p1y - k_ac * p1x 9};8?mucr  
                p_x = p2x qkY:3Ozw  
                p_y = k_ac * p_x + b_ac LEf^cM=>  
            Case "ac_y_bd_y" X-Kh(Z  
               'ac,bd线段都要求 ~&{S<Wl  
               k_ac = acy / acx RJ&RTo  
               b_ac = p1y - k_ac * p1x MUc$ j&  
               k_bd = bdy / bdx 7"x;~X  
               b_bd = p2y - k_bd * p2x MK~8}x2K  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) g2ixx+`?|:  
               p_y = k_ac * p_x + b_ac KqJs?Won  
            End Select  KC6.Fr{  
          rt(1) = p_x L}b.ulkMD  
          rt(2) = p_y 5m 4P\y^a  
         {duz\k2  
    '计算最大半径 3M7/?TMw{6  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) i)#dWFDTv  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) n'LrQU  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) q:0N<$63  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) KYI/  
    Dim bb(5) As Single o[w:1q7  
      bb(1) = rr1 C2I_%nU Z1  
      bb(2) = rr2 $( kF#  
      bb(3) = rr3 q3N jky1w  
      bb(4) = rr4 P|E| $)m  
      nb = rr1 "Gzz4D  
    For i = 1 To 4 v{N`.~,^  
        If nb <= bb(i) Then *OsQ}onv  
           nb = bb(i) Y\P8 v  
        End If M FMs[+2_o  
    Next i 3(N$nsi  
        rt(0) = Sqr(nb) U9 s&  
        rr = rt() &PHTpkaam  
      End If {\1?ZrCI&  
             bsli0FJSh'  
    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)  b4kgFA  
    T8$y[W-c  
    有热压工艺方面的人才或者资料分享下; 73;GW4,  
    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 u*`GiZAO  
    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.