[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： YUM%3  
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关键点说几个： 'WxcA)z0cQ  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） BU<A+Pe>  
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 uDQ d48>  
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 H5^'J`0\  

以下是几个重要的函数： wrac\.  
1.判断点在区域中函数 >9uDY+70I3  
2.计算夹角函数 efl6U/'Ij  
3.转置函数 +>44'M^Z|(  
4.得到区域中心点，及区域半径函数 zRL[.O9  
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） Nyow:7p  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 ZV,n-
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Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single -KCm#!  
   cax = x2 - x1 kQsyvE  
   cay = y2 - y1 ) e;)9~  
   cbx = x2 - x3 fS w00F{T  
   cby = y2 - y3
Q<;f-9q@  
   mo_jj = cax * cbx + cay * cby 8ooj)  
   mo_ca = Sqr(cax * cax + cay * cay) " <m)Fh;  
   mo_cb = Sqr(cbx * cbx + cby * cby) (C!u3ke2D  
   cos_acb = mo_jj / (mo_ca * mo_cb) P%ev8]2  
   'ff_cos = cos_acb kzbgy)PK3  
   If cos_acb >= 1 Then [3]!*Cd  
   nn = 0 =V/$&96Q  
   ElseIf cos_acb <= -1 Then V\r5  
   nn = 3.14159265258979 5owUQg,W  
   Else K0g<11}(Yg  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) y4C_G?  
   End If "m3u}!`3  
   'ff_angle = nn ,xn+T)2I  
   ff_angle = nn * 180 / 3.14159265258979 *
h-_   
End Function

'判断点在区域内函数 yLW iY~Fd  
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 VWI|`O.w  
Dim aob, boc, cod, doa, sum As Single 5dXC  
  If ppx = p1x And ppy = p1y Then (=j]fnH?  
     point_in = True $f7#p4;}(  
     Exit Function C8m8ys  
  End If W&;X+XA_W  
  If ppx = p2x And ppy = p2y Then j\P47q'v#  
     point_in = True QNLkj`PL/  
     Exit Function |4\.",Bg  
  End If 0mF3Vs`-Q  
   If ppx = p3x And ppy = p3y Then jI_TN5  
     point_in = True 6w0/;8(_m  
     Exit Function |p4F^!9  
  End If zbOEF  
     isLIfE>  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 1,p7Sl^h  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 4l
@*x^F  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ReE6h\j  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) +#"CgZ]  
    sum = aob + boc + cod + doa 5 UpN/\He  
    If 360.01 > sum And sum > 359.99 Then Sy6Y3 ~7  
       point_in = True O'Lgb9  
    Else SaH0YxnY+  
       point_in = False iN %kF'&9  
    End If qSlC@@.>  
End Function

'得到点半径,得到交点坐标函数 Qr6[h!  
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() EJ;:O1,6H  
    '求得中心点坐标 +/'3=!oyd  
Dim tt As String h.gj4/g  
Dim rt(3) As Single Wf^6:  
    '判断是否平行 ~e~iCyW;S  
   acx = p3x - p1x .S>:-j'u  
   acy = p3y - p1y c|  
   bdx = p4x - p2x
&> tmzlww  
   bdy = p4y - p2y cs `T7?>  
   If acx * bdy = acy * bdx Then '#mv-/<t*  
      rt(0) = 0 R*3x{DNL  
      Exit Function d[;Sn:B  
   Else h[b;_>7  
      '判断斜率存在否 ^a#Vp  
      If p1x = p3x And p2x <> p4x Then y, @I6  
         tt = "ac_n_bd_y" M<hX!B  
      ElseIf p1x <> p3x And p2x = p4x Then ~mP#V  
         tt = "ac_y_bd_n" WI/&r5rq   
      ElseIf p1x <> p3x And p2x <> p4x Then ln-+=jk  
         tt = "ac_y_bd_y" N2[EdOJT_  
      End If n@<+D`[.V  
    Select Case tt h W\q  
         Case "ac_n_bd_y" .Xnw@\k'  
            'bd线段方程 DUUQz:?{J  
            k_bd = bdy / bdx Lgw!S~0  
            b_bd = p2y - k_bd * p2x H,bYzWsrPo  
            p_x = p1x r)UtS4 7  
            p_y = k_bd * p_x + b_bd o{5es  
         Case "ac_y_bd_n" uH7$/  
            'ac线段方程 :_E=&4&g  
            k_ac = acy / acx T~@$WM(  
            b_ac = p1y - k_ac * p1x wiKUs0|  
            p_x = p2x s{\USD6  
            p_y = k_ac * p_x + b_ac 4jMCE&<  
        Case "ac_y_bd_y" XC"]/y  
           'ac，bd线段都要求 MA1.I4dm  
           k_ac = acy / acx [(Ss^?AJW  
           b_ac = p1y - k_ac * p1x 2MaHD}1Jw  
           k_bd = bdy / bdx j#mo Vq  
           b_bd = p2y - k_bd * p2x !8S$tk  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) Khp`KPxz%  
           p_y = k_ac * p_x + b_ac <
pJeiMo  
        End Select 4d~Sn81xW  
      rt(1) = p_x b3]QH h/  
      rt(2) = p_y uf4C+c
i  
     f'._{"  
'计算最大半径 I,J
*\)-%J  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) oRmz'F  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) l>p S23  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) qXC>DGy  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) Plpt7Pa_  
Dim bb(5) As Single 1Z-f@PoM  
  bb(1) = rr1 >(nb8T|  
  bb(2) = rr2 w$%d"Jm#X  
  bb(3) = rr3 do0;"O0 (  
  bb(4) = rr4
}@JPvIE  
  nb = rr1 LA?h+)  
For i = 1 To 4 (0Buo#I  
    If nb <= bb(i) Then [AgS@^"sf5  
       nb = bb(i) /sHWJ?`&/,  
    End If )w\E^  
Next i VE3,k'^v  
    rt(0) = Sqr(nb) hS(}<B{x!  
    rr = rt() :
2^j/  
  End If ON"F h'?  
         6%'bo`S#  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  J`uO~W"  

6I5,PB  
有热压工艺方面的人才或者资料分享下； rUg<(/c  
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 >%x N?%  

高手真多！

楼主威武霸气.