[分享]绝对随机网点分布（excel之vba） [复制链接]

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的模具，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： .}<B*e
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关键点说几个： ;2|H6IN"  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ibc/x v2  
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 RM+E  
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 -N(MEzAE  

以下是几个重要的函数： [alXD_  
1.判断点在区域中函数 P.B'Gh#^  
2.计算夹角函数 K-u/q6ufK  
3.转置函数 (FYJ^o  
4.得到区域中心点，及区域半径函数 Sh6Cw4 R  
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） ,GnU]f  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 T6roz  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single tlgvBRH>  
   cax = x2 - x1 np^<HfYV  
   cay = y2 - y1 +yH~G9u(  
   cbx = x2 - x3 =+S3S{\CK  
   cby = y2 - y3 9lJj/  
   mo_jj = cax * cbx + cay * cby H;|:r[d!  
   mo_ca = Sqr(cax * cax + cay * cay) CZRo{2!?U  
   mo_cb = Sqr(cbx * cbx + cby * cby) 2] G$6H  
   cos_acb = mo_jj / (mo_ca * mo_cb) "@w%TcA  
   'ff_cos = cos_acb b_Jq=Gk`  
   If cos_acb >= 1 Then i?dKmRp(@y  
   nn = 0  =>\-ma+  
   ElseIf cos_acb <= -1 Then B!ibE<7,  
   nn = 3.14159265258979 >wO$Vu `t  
   Else h)^A3;2F  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) hyfnIb@~}  
   End If .<^YE%  
   'ff_angle = nn WcO,4:  
   ff_angle = nn * 180 / 3.14159265258979 {b0&qV   
End Function

'判断点在区域内函数 L2.`1Aag  
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 bTQa'y`3  
Dim aob, boc, cod, doa, sum As Single t`YZ)
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  If ppx = p1x And ppy = p1y Then tK}p05nPhl  
     point_in = True <-B"|u
 
     Exit Function x>,F*3d3  
  End If _pko]F|()  
  If ppx = p2x And ppy = p2y Then a<wQzgxG  
     point_in = True I cR;A\z  
     Exit Function #t2UPLO~  
  End If :@%-f:iDj  
   If ppx = p3x And ppy = p3y Then K}E7|gdG  
     point_in = True ;i9<y8Dha  
     Exit Function ,o@~OTja*  
  End If u@_!mjXQ  
     =Cy>$/H64  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) tG2OVRx8u  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) k3>ur>aW  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) v<3o[mq  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 0SYf<$  
    sum = aob + boc + cod + doa f./m7TZ  
    If 360.01 > sum And sum > 359.99 Then zP(=,)d  
       point_in = True LX\*4[0%K  
    Else s'aV qB  
       point_in = False r ctSS:1  
    End If yOUX E>-  
End Function

'得到点半径,得到交点坐标函数 {;iHYr-zs  
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() c/=y*2,zo  
    '求得中心点坐标 88#qu.  
Dim tt As String uojh%@.4  
Dim rt(3) As Single LGo2^Xx  
    '判断是否平行 Q\27\2  
   acx = p3x - p1x Ac[|MBaF  
   acy = p3y - p1y T1(j l)  
   bdx = p4x - p2x NDRW  
   bdy = p4y - p2y $K?T=a;z  
   If acx * bdy = acy * bdx Then ke}Y
2sB  
      rt(0) = 0 :J Gl>V  
      Exit Function "B9[cDM&  
   Else bvipbf[m<  
      '判断斜率存在否 %Ui{=920  
      If p1x = p3x And p2x <> p4x Then my
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         tt = "ac_n_bd_y" :vYtMp  
      ElseIf p1x <> p3x And p2x = p4x Then !f\?c7  
         tt = "ac_y_bd_n" 5@ bc(H  
      ElseIf p1x <> p3x And p2x <> p4x Then m%oGzx+  
         tt = "ac_y_bd_y" oNuPP5d[]  
      End If egI{!bZg'\  
    Select Case tt 6wb^*dD92  
         Case "ac_n_bd_y" Mhe|eD#)  
            'bd线段方程 I%}L@fZ  
            k_bd = bdy / bdx %XJQ0CE<(  
            b_bd = p2y - k_bd * p2x |jahpji6  
            p_x = p1x 7_Ba3+9jpa  
            p_y = k_bd * p_x + b_bd 6_R\l@a  
         Case "ac_y_bd_n" `E} p77  
            'ac线段方程 (px*R~}  
            k_ac = acy / acx X~v4
"|a  
            b_ac = p1y - k_ac * p1x \}$*}gW[}  
            p_x = p2x r]k*7PK  
            p_y = k_ac * p_x + b_ac _m
9~*  
        Case "ac_y_bd_y" 0).fBBNG  
           'ac，bd线段都要求 y$IaXr5L  
           k_ac = acy / acx m<FF$pTT  
           b_ac = p1y - k_ac * p1x E tJ~dL)  
           k_bd = bdy / bdx @72x`&|I?u  
           b_bd = p2y - k_bd * p2x N@Xg5huO  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 81g9ZV(4  
           p_y = k_ac * p_x + b_ac `OKo=e~,  
        End Select xi680'  
      rt(1) = p_x \f(Y:}9  
      rt(2) = p_y / <JY:1|  
     YXF#c)#  
'计算最大半径 1P_F
e[8  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) \#PP8  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) wL'oImE  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) W1xf2=z`)T  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) CE~r4  
Dim bb(5) As Single Bu7A{DRf  
  bb(1) = rr1 p QluGIX0V  
  bb(2) = rr2 &&X$d!V  
  bb(3) = rr3 \Y
*!f|=of  
  bb(4) = rr4 p1Q/g Il  
  nb = rr1 |]^l^e6m  
For i = 1 To 4 I+0c8T(:  
    If nb <= bb(i) Then fO*)LPen.z  
       nb = bb(i) y0,Ft/D  
    End If +x(YG(5\w  
Next i u\`/Nhn  
    rt(0) = Sqr(nb) 5B%w]n  
    rr = rt() xb%/sz(4  
  End If j7f5|^/x3  
         1|W
2s\  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  P3!Atnv2  

d*2u}1Jo8  
有热压工艺方面的人才或者资料分享下； ALXTR%f  
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 Lc|{aN  

高手真多！

楼主威武霸气.