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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: ^aG$9N<\  
    FOPfo b[  
    [^Z)f<l  
     
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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: 7vo8lnQ{  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) QdIx@[+WOq  
    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 >jU25"XI[  
    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 Y/x>wNW  
    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: yk0tA  
    1.判断点在区域中函数 {q/;G!ON.S  
    2.计算夹角函数 ZaBmH|k  
    3.转置函数 2Z-[x9t  
    4.得到区域中心点,及区域半径函数 !/ a![Ne  
    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) _/czH<   
    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 4]HW!J  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single J-|&[-Z  
       cax = x2 - x1 k|czQ"vaI  
       cay = y2 - y1 DfU]+;AE  
       cbx = x2 - x3 ?I8r2M]  
       cby = y2 - y3 _dY5qW1p  
       mo_jj = cax * cbx + cay * cby MQQQaD:v  
       mo_ca = Sqr(cax * cax + cay * cay) nC%<BatQ  
       mo_cb = Sqr(cbx * cbx + cby * cby) AdpJ4}|0  
       cos_acb = mo_jj / (mo_ca * mo_cb) 2,Aw 6h;  
       'ff_cos = cos_acb C hQ] d  
       If cos_acb >= 1 Then ? 'qyI^m@  
       nn = 0 W}y)vrL  
       ElseIf cos_acb <= -1 Then No8-Hm  
       nn = 3.14159265258979 TCFr-*x  
       Else a/v]E]=qI  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) +I\54PBws  
       End If ]h#QA;   
       'ff_angle = nn .l hS  
       ff_angle = nn * 180 / 3.14159265258979 y^e3Gyk  
    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 /N({"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 /k[8xb  
    Dim aob, boc, cod, doa, sum As Single RH:vd|q+  
      If ppx = p1x And ppy = p1y Then |g >Q3E  
         point_in = True |VzXcV-"8)  
         Exit Function u|Oc+qA(  
      End If n!.=05OtX  
      If ppx = p2x And ppy = p2y Then c3Gy1#f:#2  
         point_in = True j /_&]6!  
         Exit Function D^2lb"3  
      End If 6uv~.-T<l  
       If ppx = p3x And ppy = p3y Then CPL,QVO9  
         point_in = True b\KbF/ T  
         Exit Function mo3A*|U  
      End If |d z2Drc  
         6:L2oW 6}{  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 98)C 7N'  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 2X[oge0@  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ]v0Z[l>yf  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) q2r$j\L%  
        sum = aob + boc + cod + doa &XdTY +  
        If 360.01 > sum And sum > 359.99 Then NM^uP+uS  
           point_in = True jV9oTH-  
        Else  }JWkV1  
           point_in = False NjT*5 .  
        End If 3u/AqL  
    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 Cc*R3vHM6  
    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() %k32:qe  
        '求得中心点坐标 jI0gf&v8  
    Dim tt As String ~".@;Q  
    Dim rt(3) As Single $|@vmv0  
        '判断是否平行 W;cY g.W2  
       acx = p3x - p1x "&/2 @  
       acy = p3y - p1y i721(1  
       bdx = p4x - p2x <xF]ca  
       bdy = p4y - p2y "oNl!<ep  
       If acx * bdy = acy * bdx Then xpO;V}M|  
          rt(0) = 0 \o/eF&  
          Exit Function ;Vc|3  
       Else uDXV@;6<  
          '判断斜率存在否 \>pm (gF  
          If p1x = p3x And p2x <> p4x Then oQ,<Yx%E3  
             tt = "ac_n_bd_y" H8[A*uYL  
          ElseIf p1x <> p3x And p2x = p4x Then 'Etq;^H  
             tt = "ac_y_bd_n" 7n.Oem  
          ElseIf p1x <> p3x And p2x <> p4x Then <qpzs@  
             tt = "ac_y_bd_y" T@i* F M  
          End If _<{<b  
        Select Case tt @y~kQ5k  
             Case "ac_n_bd_y" U|Gy9"  
                'bd线段方程 );VuZsmi  
                k_bd = bdy / bdx s[y.gR.(  
                b_bd = p2y - k_bd * p2x ~gW^9nWYU  
                p_x = p1x N) _24  
                p_y = k_bd * p_x + b_bd UWqD)6  
             Case "ac_y_bd_n" Fz,jnV9=j  
                'ac线段方程 Xpn\TD<_I  
                k_ac = acy / acx 1=z[U|&R  
                b_ac = p1y - k_ac * p1x -,b+tC<V)0  
                p_x = p2x !rr,(!Ip?O  
                p_y = k_ac * p_x + b_ac M*ZN]9{^.  
            Case "ac_y_bd_y" |u^S}"@3sU  
               'ac,bd线段都要求 7+hF1eoI  
               k_ac = acy / acx ,0,FzxX0!  
               b_ac = p1y - k_ac * p1x ;*<R~HJt  
               k_bd = bdy / bdx 85H \v_[  
               b_bd = p2y - k_bd * p2x hEu_mw#  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) -qDqJ62mC  
               p_y = k_ac * p_x + b_ac (^y"'B  
            End Select |,:p[Oy  
          rt(1) = p_x 8$A0q%n  
          rt(2) = p_y _Iav2= 0Wi  
         gee~>l  
    '计算最大半径 1J/'R37lP  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) e }?.3,?  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) Vi-Ph;6[  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) "QNQ00[T`>  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) g ,EDE6`8  
    Dim bb(5) As Single N;'c4=M~(  
      bb(1) = rr1 bA#9'Qu^j  
      bb(2) = rr2 S\N1qux{  
      bb(3) = rr3 z5]6"v -  
      bb(4) = rr4 `sT;\  
      nb = rr1 -'d:~:1f  
    For i = 1 To 4 0LH6G[  
        If nb <= bb(i) Then czD" mI!  
           nb = bb(i) %eg+ .  
        End If ;Go^)bN ;  
    Next i 94ruQ/  
        rt(0) = Sqr(nb) Oa~ThbX7  
        rr = rt() 2vjkThh`I  
      End If ~ W8X g)  
             >lUPOc  
    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)  `Ow]@flLI  
    FLMiW]?x  
    有热压工艺方面的人才或者资料分享下; tw$EwNI[  
    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 JU>~[yAP  
    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.