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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: _$ixE~w-!  
    gn%#2:=pVu  
    bwVv#Z\r  
     
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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: OM4s.BLY  
    1.区域是由点围成的,所以EXCEL中需要定义点的坐标(区域) rG\m]C3E  
    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 K,IOD t  
    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 /#:RYM'Tu  
    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: 0H>Fyl2_  
    1.判断点在区域中函数 (|[3/_!;v  
    2.计算夹角函数 /yykOvUO  
    3.转置函数 Q}=RG//0*  
    4.得到区域中心点,及区域半径函数 ~HYP:6f  
    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) Q?"[zX1  
    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 Vks,3$  
    Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single pc.0;g N  
       cax = x2 - x1 \ yOZ&qU  
       cay = y2 - y1 4z*_,@OA  
       cbx = x2 - x3 #!5Nbe  
       cby = y2 - y3 7q^/.:wlf  
       mo_jj = cax * cbx + cay * cby Tb)x8-0  
       mo_ca = Sqr(cax * cax + cay * cay) yBe/UFp+  
       mo_cb = Sqr(cbx * cbx + cby * cby) =#V11j  
       cos_acb = mo_jj / (mo_ca * mo_cb) O#EBR<CuK  
       'ff_cos = cos_acb :5*<QJuI#A  
       If cos_acb >= 1 Then *C:+N>  
       nn = 0 E, v1F!  
       ElseIf cos_acb <= -1 Then b>7ts_b  
       nn = 3.14159265258979 19rUvgC{M  
       Else AO]lXa  
       nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) |X.z|wKT6  
       End If nB]Q^~jX  
       'ff_angle = nn 8;'n.SC{  
       ff_angle = nn * 180 / 3.14159265258979 f2u2Ns0Ym  
    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 4eEs_R  
    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 I;v`o{  
    Dim aob, boc, cod, doa, sum As Single V[mQ;:=  
      If ppx = p1x And ppy = p1y Then :A'!u r=\  
         point_in = True sy?>e*-{  
         Exit Function X^W> "q  
      End If 5ZcnZlOOQ  
      If ppx = p2x And ppy = p2y Then Za6oYM_z  
         point_in = True  d!t@A  
         Exit Function Ueeay^zN  
      End If #~+#72+x7  
       If ppx = p3x And ppy = p3y Then qck/b  
         point_in = True ]x G8vy  
         Exit Function cP1jw%3P  
      End If K;qZc\q  
         &rl>{Uvq  
        aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 9CNHjs+-}s  
        boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) *o[%?$8T  
        cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) t0>{0 5  
        doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) `Ek!;u>  
        sum = aob + boc + cod + doa X w8i l  
        If 360.01 > sum And sum > 359.99 Then nsT|,O  
           point_in = True ;Kf|a}m-  
        Else kOCxIJ!Xp=  
           point_in = False 8w&rj-  
        End If XNU qZ-M :  
    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 DQ\&5ytP  
    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() D5pF:~tQ(j  
        '求得中心点坐标 !XG&=Rd?  
    Dim tt As String $3'+V_CZ3  
    Dim rt(3) As Single u-{l,p_H  
        '判断是否平行 -;\+uV  
       acx = p3x - p1x @MB _gt)7?  
       acy = p3y - p1y 4w( vRe  
       bdx = p4x - p2x $NT9LtT@K  
       bdy = p4y - p2y tb0E?&M  
       If acx * bdy = acy * bdx Then N1~V +_mM  
          rt(0) = 0 oKi1=d+T  
          Exit Function ;_/q>DR>,3  
       Else &fW=5'  
          '判断斜率存在否 Z9&D'n)  
          If p1x = p3x And p2x <> p4x Then B)]{]z0+`  
             tt = "ac_n_bd_y" Qe$>Jv5  
          ElseIf p1x <> p3x And p2x = p4x Then \83A|+k  
             tt = "ac_y_bd_n" " ^baiN@ac  
          ElseIf p1x <> p3x And p2x <> p4x Then mRH]'d lD7  
             tt = "ac_y_bd_y" .w_`d'}  
          End If 7J;~ &x  
        Select Case tt ^<\} Y  
             Case "ac_n_bd_y" 3DAGW"F  
                'bd线段方程 R.H\b!  
                k_bd = bdy / bdx kc'0NE4oq  
                b_bd = p2y - k_bd * p2x X8 )>}#:  
                p_x = p1x h+3Z.WKhwP  
                p_y = k_bd * p_x + b_bd 2 dD<]  
             Case "ac_y_bd_n" RLz`aBT  
                'ac线段方程 _P<lG[V  
                k_ac = acy / acx fG2&/42J  
                b_ac = p1y - k_ac * p1x "&#W Mi  
                p_x = p2x OawrS{  
                p_y = k_ac * p_x + b_ac 6 2`PK+  
            Case "ac_y_bd_y" ; Uqx&5P}  
               'ac,bd线段都要求 Q 95  
               k_ac = acy / acx C cr+SR2  
               b_ac = p1y - k_ac * p1x p/1}>F|i  
               k_bd = bdy / bdx  g1wI/  
               b_bd = p2y - k_bd * p2x iQ!  
               p_x = -(b_bd - b_ac) / (k_bd - k_ac) 1O2h9I$bk  
               p_y = k_ac * p_x + b_ac 6IY}SI0N  
            End Select Ui |a}`c  
          rt(1) = p_x zrU$SWU  
          rt(2) = p_y LAY)">*49H  
         oT)VOkFq  
    '计算最大半径 gZ"{{#:}  
       rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) KTK6#[8A  
       rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) V2s}<uG  
       rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) N9=r#![>,  
       rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 5Ue^>8-  
    Dim bb(5) As Single 3.<6;?  
      bb(1) = rr1 2]NAs9aZ  
      bb(2) = rr2 RpXs3=9  
      bb(3) = rr3 ZC5Yve8  
      bb(4) = rr4 0"^oTmQN  
      nb = rr1 S`c]Fc  
    For i = 1 To 4 ?gR\A8:8  
        If nb <= bb(i) Then 22/?JWL>  
           nb = bb(i) }1]!#yMfq  
        End If `,-hG  
    Next i sMfFm@\N  
        rt(0) = Sqr(nb) {1@4}R4  
        rr = rt() # HM\ a  
      End If 9<A\npD  
             8q~FUJhU  
    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)  ig{A[7qN  
    --in+  
    有热压工艺方面的人才或者资料分享下; Y|%anTP  
    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 hFsA_x+L;  
    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.