[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： =]"|x7'!  
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c@M@t0WT[  

关键点说几个： |/s2AzDD  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） RGI6W{\  
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 F*:NKT d  
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 QC,(rB  

以下是几个重要的函数： l{m~d!w`a  
1.判断点在区域中函数 0.+eF }'H  
2.计算夹角函数 8lSn*;S,  
3.转置函数 ]GKx[F{)  
4.得到区域中心点，及区域半径函数 q%Jy
>IXt  
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） 4,ynt&  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 m{dyVE  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single Cf=q_\0|W  
   cax = x2 - x1 "`*a)'.'^c  
   cay = y2 - y1 m&0BbyE.z  
   cbx = x2 - x3 A-C)w/7  
   cby = y2 - y3 Q1\k`J  
   mo_jj = cax * cbx + cay * cby x$J
.SbW  
   mo_ca = Sqr(cax * cax + cay * cay) L(2P|{C  
   mo_cb = Sqr(cbx * cbx + cby * cby) #IGoz|m  
   cos_acb = mo_jj / (mo_ca * mo_cb) T_tDpq_|  
   'ff_cos = cos_acb X+E\]X2  
   If cos_acb >= 1 Then Bd~cY/M  
   nn = 0 C2=iZ`Z>T  
   ElseIf cos_acb <= -1 Then /,N!g_"Z  
   nn = 3.14159265258979 p6y0W`U  
   Else mQ60@_"Y=,  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ^!p<zZ  
   End If v&b.Q:h*'  
   'ff_angle = nn }-q`&1!t
 
   ff_angle = nn * 180 / 3.14159265258979 $< K)fbG  
End Function

'判断点在区域内函数 Cs[7%
j  
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 U|Z>SE<k  
Dim aob, boc, cod, doa, sum As Single Ce5w0&VlS  
  If ppx = p1x And ppy = p1y Then /q"d`!h)w  
     point_in = True ,D@;i  
     Exit Function V)1:LLRW  
  End If Q f+p0E;  
  If ppx = p2x And ppy = p2y Then $v'Y
:  
     point_in = True s\Pt,I@Y_  
     Exit Function <{NYD.  
  End If h/X5w4  
   If ppx = p3x And ppy = p3y Then Q%n{*py  
     point_in = True Vy% :\p+  
     Exit Function v :+8U[x  
  End If "0H56#eW  
     b%[nB  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) fZ6 fV=HEF  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 7edPH3  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) &8Jg9#  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) /K,|k EE'n  
    sum = aob + boc + cod + doa 5rfH;`  
    If 360.01 > sum And sum > 359.99 Then ne"?90~  
       point_in = True zD)IU_GWa  
    Else ckf<N9  
       point_in = False KZrMf77=  
    End If $W/+nmb)@K  
End Function

'得到点半径,得到交点坐标函数 Y^f94s:2S  
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() M[YTk=IM#  
    '求得中心点坐标 JO2ZS6k[  
Dim tt As String =f4[=C$&`  
Dim rt(3) As Single ':4}O#  
    '判断是否平行 r=~WMDCz@  
   acx = p3x - p1x la\zaKC;>  
   acy = p3y - p1y %@lV-(5q  
   bdx = p4x - p2x Nm6Z|0S  
   bdy = p4y - p2y ;-KAUgL2  
   If acx * bdy = acy * bdx Then Ml8 YyF/~  
      rt(0) = 0 yn/?= ?0  
      Exit Function GOy=p3mQ  
   Else j3x^<a\gJ  
      '判断斜率存在否 (C`FicY  
      If p1x = p3x And p2x <> p4x Then pg~zUOY  
         tt = "ac_n_bd_y" }+91s'/c  
      ElseIf p1x <> p3x And p2x = p4x Then AT B\^;n.  
         tt = "ac_y_bd_n" Q_&}^  
      ElseIf p1x <> p3x And p2x <> p4x Then w]>"'o{{  
         tt = "ac_y_bd_y" Gnbfy4Z  
      End If ]d@^i)2LF  
    Select Case tt 0'?V|V=v  
         Case "ac_n_bd_y"
ixIV=#  
            'bd线段方程 _tWJXv~;  
            k_bd = bdy / bdx .FIt.XPzv  
            b_bd = p2y - k_bd * p2x :+~KPn>w5  
            p_x = p1x :/C ?
FHs9  
            p_y = k_bd * p_x + b_bd vk @%R  
         Case "ac_y_bd_n" D JLiZS  
            'ac线段方程 L5"8G,I  
            k_ac = acy / acx yicO!:bM  
            b_ac = p1y - k_ac * p1x )W&o?VRfO  
            p_x = p2x L([E98fo  
            p_y = k_ac * p_x + b_ac r<;l{7lY_  
        Case "ac_y_bd_y" 4$yV
%[j  
           'ac，bd线段都要求 ]g{hhP3>  
           k_ac = acy / acx W8w3~  
           b_ac = p1y - k_ac * p1x m7$8k@r  
           k_bd = bdy / bdx Q)09]hP[Xj  
           b_bd = p2y - k_bd * p2x G9DJa_]X  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 3/X-Cr+d  
           p_y = k_ac * p_x + b_ac *)limqe3"$  
        End Select 16"#i  
      rt(1) = p_x TT'Ofvdc  
      rt(2) = p_y N>
+P WE$  
     Lltc4Mzw  
'计算最大半径 &^V~cJ  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y)  t?gJ
NOV  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) YiD-F7hf.*  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) _p\629`  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) z0#-)AeS  
Dim bb(5) As Single -x{dc7y2  
  bb(1) = rr1 0y)}.'  
  bb(2) = rr2 'eDJ@4Xm  
  bb(3) = rr3 UQ/qBbn  
  bb(4) = rr4 rkkU"l$v  
  nb = rr1 94\t1fE  
For i = 1 To 4 &~RR&MdZ2  
    If nb <= bb(i) Then BR+nL6sU  
       nb = bb(i) z9[[C^C  
    End If U4Z[!s$  
Next i pD"YNlB^  
    rt(0) = Sqr(nb) X*i/A<Y`=  
    rr = rt() W+_RhJ  
  End If WzjL-a(  
         >*IN  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  x0Yse:RE^  

|.P/:e9  
有热压工艺方面的人才或者资料分享下； w~Ff%p@9  
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 "w_N'-}#  

高手真多！

楼主威武霸气.