[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： /PC`0/b  
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图片:2.jpg

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关键点说几个： m0Z7N5v)  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 6S_y%8Fv&[  
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 AP ;
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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 yjeL9:jH[  

以下是几个重要的函数： Mz}i[|U\  
1.判断点在区域中函数 4ac1m,Jlt  
2.计算夹角函数 `uhL61cMp  
3.转置函数 O3&
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4.得到区域中心点，及区域半径函数 r_=p,#}#  
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） 9;pzzZ  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 N[]U%9[=2F  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single T7ki/hjRb  
   cax = x2 - x1 V-:`+&S{^  
   cay = y2 - y1 #B\B(y  
   cbx = x2 - x3 9
yDFHz w  
   cby = y2 - y3 Jtpa@!M  
   mo_jj = cax * cbx + cay * cby ha5 bD%  
   mo_ca = Sqr(cax * cax + cay * cay) @F~0p5I  
   mo_cb = Sqr(cbx * cbx + cby * cby) GA7u5D"0  
   cos_acb = mo_jj / (mo_ca * mo_cb) +RdI;QmM  
   'ff_cos = cos_acb "u,sRbL  
   If cos_acb >= 1 Then
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   nn = 0 :(+]b  
   ElseIf cos_acb <= -1 Then .?70=8{  
   nn = 3.14159265258979 G u6[{u  
   Else :"y0oCu7`W  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) G1p43  
   End If v<%]XHN  
   'ff_angle = nn 2h5tBEOX.s  
   ff_angle = nn * 180 / 3.14159265258979 )< l\jfx e  
End Function

'判断点在区域内函数 KU*`f{|  
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 l&vm[3  
Dim aob, boc, cod, doa, sum As Single (/('nY  
  If ppx = p1x And ppy = p1y Then i1tVdbC]  
     point_in = True S_ZLTcq<1  
     Exit Function zUNH8=U  
  End If uAc@ Z-  
  If ppx = p2x And ppy = p2y Then IU7$%6<Y  
     point_in = True 56"#Syj  
     Exit Function fm[_@L% x  
  End If VjC*(6<Gj  
   If ppx = p3x And ppy = p3y Then
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     point_in = True Nvi Fq  
     Exit Function U.HoFf+HN  
  End If D!c1;IHZ  
     #,7eQaica  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) "[#@;{@Gt  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) bcUC4g\9N  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) =U=e?AOG2  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) |if~i;VKL  
    sum = aob + boc + cod + doa B>{|'z?%>  
    If 360.01 > sum And sum > 359.99 Then _{[k[]  
       point_in = True pk;ffq@  
    Else f37ji  
       point_in = False ,Le&I9*%  
    End If pp*bqY  
End Function

'得到点半径,得到交点坐标函数 .jvSAV5B  
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() A/ 7r:yO  
    '求得中心点坐标 >{phyBy
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Dim tt As String `G_(xN7O  
Dim rt(3) As Single sN6 0o 7.  
    '判断是否平行 qf_hb  
   acx = p3x - p1x 3*CzXK>`M&  
   acy = p3y - p1y 6(ka"Vu~  
   bdx = p4x - p2x %GVEY  
   bdy = p4y - p2y y_}K?  
   If acx * bdy = acy * bdx Then VQ1?Db(_2  
      rt(0) = 0 ~a|^?7@p  
      Exit Function %E4$ZPSW  
   Else nQ:ml  
      '判断斜率存在否 `E./p  
      If p1x = p3x And p2x <> p4x Then kS@9c _3S  
         tt = "ac_n_bd_y" 2E@C0HaL  
      ElseIf p1x <> p3x And p2x = p4x Then V-?sek{;  
         tt = "ac_y_bd_n" J0IdFFZ|w  
      ElseIf p1x <> p3x And p2x <> p4x Then OVDMC4K2z!  
         tt = "ac_y_bd_y" wJapGc!   
      End If 5W?yj>JR  
    Select Case tt 7bgnZ]r8t  
         Case "ac_n_bd_y" s|{^ }4{  
            'bd线段方程 5QqJI#4~  
            k_bd = bdy / bdx
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            b_bd = p2y - k_bd * p2x ]%NO"HzF~  
            p_x = p1x "i!2=A8k  
            p_y = k_bd * p_x + b_bd ^BF@j4*~  
         Case "ac_y_bd_n" sDzD 8as  
            'ac线段方程 1Qp1Es<)  
            k_ac = acy / acx a-z23$3  
            b_ac = p1y - k_ac * p1x M3ecIVm8(  
            p_x = p2x
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            p_y = k_ac * p_x + b_ac [JX}1%NA  
        Case "ac_y_bd_y" Ff)~clIK '  
           'ac，bd线段都要求 N}8HK^n*  
           k_ac = acy / acx *
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           b_ac = p1y - k_ac * p1x q3,P|&T  
           k_bd = bdy / bdx 5~`|)~FA  
           b_bd = p2y - k_bd * p2x +t7c&td\  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) hO+O0=$}wN  
           p_y = k_ac * p_x + b_ac
+Op%,,Db  
        End Select NDs]}5#   
      rt(1) = p_x z/eU^2V  
      rt(2) = p_y beN>5coP%A  
     oW yN:Qh  
'计算最大半径 s8f3i\1  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) &J5-'{U|0  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) gTmUK{y'  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) wzNt c)~i  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ~xlMHf  
Dim bb(5) As Single 4e(9@OLP  
  bb(1) = rr1 nJ'>#9~a'>  
  bb(2) = rr2 Ovl?j&8  
  bb(3) = rr3 \dp9@y[^  
  bb(4) = rr4 Ovaj":L  
  nb = rr1 DWm;&RPJ  
For i = 1 To 4 "lv:hz  
    If nb <= bb(i) Then &9RW9u "  
       nb = bb(i) 0%A(dJA6  
    End If j(@g  
Next i *uI hxMX  
    rt(0) = Sqr(nb) K=!ZI/+ju  
    rr = rt() t[f9Z  
  End If 1,%#O;ya  
         @MlU!oR&  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  H'= i  

Y^*$PED?  
有热压工艺方面的人才或者资料分享下； "za*$DU  
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 $OFFH[_z  

高手真多！

楼主威武霸气.