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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: `hM`bcS  
    `x~k}  
    LPb43  
    本主题包含附件,请 登录 后查看, 或者 注册 成为会员
     
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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: o B_c6]K  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) ]x:>~0/L  
    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 }C"EkT!F  
    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 8xDS eXh;  
    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: S-gL]r3G8  
    1.判断点在区域中函数 fxI>FhU_  
    2.计算夹角函数 {(o\G"\<XY  
    3.转置函数 @NlnZfMu  
    4.得到区域中心点,及区域半径函数 [Rs5hO  
    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) yb*SD!  
    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 oPk2ac  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single sw'20I  
       cax = x2 - x1 Axk p  
       cay = y2 - y1 UB|Nx(V s  
       cbx = x2 - x3 p"Oi83w;9  
       cby = y2 - y3 C;oP"K]4=  
       mo_jj = cax * cbx + cay * cby J *.Nf)i  
       mo_ca = Sqr(cax * cax + cay * cay) PD|I3qv~  
       mo_cb = Sqr(cbx * cbx + cby * cby) ``1#^ `  
       cos_acb = mo_jj / (mo_ca * mo_cb) -/~^S]  
       'ff_cos = cos_acb qe"5&cc1  
       If cos_acb >= 1 Then B:n9*<v(  
       nn = 0 jsf=S{^2  
       ElseIf cos_acb <= -1 Then <& 8cq@<  
       nn = 3.14159265258979 @_FL,AC&m  
       Else A_{QY&%m  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Fw!5hR`,  
       End If CP7Zin1S/w  
       'ff_angle = nn v8 y77:  
       ff_angle = nn * 180 / 3.14159265258979 {p 9y{$  
    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 s8WA@)L  
    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 hNyYk(t^  
    Dim aob, boc, cod, doa, sum As Single w<J$12 "p+  
      If ppx = p1x And ppy = p1y Then HzQ6KYAMq  
         point_in = True $Z+N*w~8  
         Exit Function ;g^QH r  
      End If ^+mSf`5  
      If ppx = p2x And ppy = p2y Then zXbTpm  
         point_in = True @gE +T37x2  
         Exit Function xY5Idl->  
      End If qO Zc}J0  
       If ppx = p3x And ppy = p3y Then 17$JBQ,[  
         point_in = True "0`r]5 5d  
         Exit Function ?j ?{} Z  
      End If !g=,O6  
         f|Z3VS0x  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) fR5 NiH  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) G/Kz_Y,  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) fT[6Cw5w`  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) x\3 ` W  
        sum = aob + boc + cod + doa %ghQ#dZ]&  
        If 360.01 > sum And sum > 359.99 Then , *e^,|#  
           point_in = True xPQO}wKa  
        Else _UjAct]6  
           point_in = False wjq f u /  
        End If OJ@';ZyT=  
    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 T"kaOy  
    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() ^yy\CtG  
        '求得中心点坐标 P:(,l,}F8  
    Dim tt As String /y@$|DI1  
    Dim rt(3) As Single U+@yx>!  
        '判断是否平行 Mr2dhSQ !  
       acx = p3x - p1x e>nRJH8pK  
       acy = p3y - p1y mC>7l7%  
       bdx = p4x - p2x >p\IC  
       bdy = p4y - p2y >5/dmHPc  
       If acx * bdy = acy * bdx Then r.-NfK4  
          rt(0) = 0 C.8]~MP  
          Exit Function [%P_ Y/  
       Else y"e'Gg2  
          '判断斜率存在否 .A\9|sRZ5  
          If p1x = p3x And p2x <> p4x Then (LL4V 3)  
             tt = "ac_n_bd_y" hAG++<H{  
          ElseIf p1x <> p3x And p2x = p4x Then fhMtnh:  
             tt = "ac_y_bd_n" (W=z0Lqu  
          ElseIf p1x <> p3x And p2x <> p4x Then dMeDQ`c`W  
             tt = "ac_y_bd_y" zJ|Ek"R.  
          End If fU>"d>6!S  
        Select Case tt Xa[gDdbL  
             Case "ac_n_bd_y" W>wE8? _,  
                'bd线段方程 ;]Y.2 J  
                k_bd = bdy / bdx Ywr^uy1V,/  
                b_bd = p2y - k_bd * p2x UgSSZ05Lq  
                p_x = p1x g@MTKqs  
                p_y = k_bd * p_x + b_bd ReZ|q5*  
             Case "ac_y_bd_n" #96E^%:zL  
                'ac线段方程 E^A9u |x  
                k_ac = acy / acx ThJLaNS  
                b_ac = p1y - k_ac * p1x .[= 0(NO  
                p_x = p2x Pk~P  
                p_y = k_ac * p_x + b_ac N=tyaS(YJ  
            Case "ac_y_bd_y" |5e/.T$  
               'ac,bd线段都要求 ^YenS6`F  
               k_ac = acy / acx W$?1" F.  
               b_ac = p1y - k_ac * p1x f*W<N06EZ  
               k_bd = bdy / bdx 9Hlu%R  
               b_bd = p2y - k_bd * p2x ^Bm9y R  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) B`"-~4YAf  
               p_y = k_ac * p_x + b_ac p8Lb*7W  
            End Select g B+cU  
          rt(1) = p_x `hM ]5;0  
          rt(2) = p_y uZm<:d2%)  
         qO&:J\d  
    '计算最大半径 =ZzhH};aX  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) ~}8 3\LI}  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 78dmXOZ'_h  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) (tyo4Tz1  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) g 4Vt"2|  
    Dim bb(5) As Single f[%\LHq  
      bb(1) = rr1 e)!X9><J  
      bb(2) = rr2 3_^w/-7`B  
      bb(3) = rr3 d cPh @3  
      bb(4) = rr4 KM< M^l_Q  
      nb = rr1 ^a<=@0|  
    For i = 1 To 4 |=jgrm1yj  
        If nb <= bb(i) Then VI" ,E}  
           nb = bb(i) +Nc|cj  
        End If <JF78MD\  
    Next i "o;l8$)VL  
        rt(0) = Sqr(nb) ;X|;/@@  
        rr = rt() cS QUK  
      End If ` mALx! `  
             ?D57HCd`n  
    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)  l9P~,Ec4''  
    1AoBsEnd  
    有热压工艺方面的人才或者资料分享下; {/R4Q1  
    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 )I!l:!Ij*D  
    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.