[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： $5|/X&"O)/  
#O qfyY!  

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关键点说几个： p'ukV(B  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ~~]L!P  
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 n;y<!L7  
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 O\=3{  

以下是几个重要的函数： Yu>VW\Fb  
1.判断点在区域中函数 Jo1n>Mo-j  
2.计算夹角函数 E
CWn/4Aws  
3.转置函数 5\A[ra  
4.得到区域中心点，及区域半径函数 '!I^Lfz-Z  
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） TG~:Cmc  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 ^F"Q~?D)  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single {L$]NQdz  
   cax = x2 - x1 T\55uQ  
   cay = y2 - y1 |W];8  
   cbx = x2 - x3 VImcW;Xa  
   cby = y2 - y3 t9685s  
   mo_jj = cax * cbx + cay * cby Pwn"!pk  
   mo_ca = Sqr(cax * cax + cay * cay) 7@NAky(  
   mo_cb = Sqr(cbx * cbx + cby * cby) gNY}`'~hr  
   cos_acb = mo_jj / (mo_ca * mo_cb) wws)**]J8  
   'ff_cos = cos_acb M.iR5Uh  
   If cos_acb >= 1 Then RcIGIt  
   nn = 0 dh#4/Wa,  
   ElseIf cos_acb <= -1 Then l8/ tR  
   nn = 3.14159265258979 {{7%z4l  
   Else [#S}L(  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) /ldE (!^n  
   End If wg\*FfQn  
   'ff_angle = nn +YVnA?r?  
   ff_angle = nn * 180 / 3.14159265258979 +P2f<~  
End Function

'判断点在区域内函数 JDrh-6Zgj  
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 Ch8w_Jf1yx  
Dim aob, boc, cod, doa, sum As Single WX$mAQDV  
  If ppx = p1x And ppy = p1y Then f|G,pDLx  
     point_in = True OoL#8R  
     Exit Function H7bdL 8/  
  End If 7714}%Z  
  If ppx = p2x And ppy = p2y Then W|XTa  
     point_in = True ZWH?=Bk:  
     Exit Function +`4`OVE_#  
  End If o7Ms]AblT  
   If ppx = p3x And ppy = p3y Then |y=;#A  
     point_in = True 9Ps[i)-  
     Exit Function \lwYDPY:  
  End If <+ 0cQq=2  
     HH =sq  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) lIPy)25~  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) +^1E0@b%  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) <20rxOEnf  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) ^c",!Lp}{  
    sum = aob + boc + cod + doa D5x }V  
    If 360.01 > sum And sum > 359.99 Then NfqJ>[}I+  
       point_in = True {Wp+Y9c[  
    Else pJkaP  
       point_in = False 2(~Y ^_  
    End If "'/:Tp)  
End Function

'得到点半径,得到交点坐标函数 LDDeZY"xd  
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() ILdRN  
    '求得中心点坐标 +76{S_CZ  
Dim tt As String 242dT/j  
Dim rt(3) As Single n^<3E; a  
    '判断是否平行 zs#s"e:jeR  
   acx = p3x - p1x ie4keVlXc  
   acy = p3y - p1y O
1TJJ8  
   bdx = p4x - p2x +oKp>-  
   bdy = p4y - p2y 1n}q6oa=  
   If acx * bdy = acy * bdx Then aRFLh  
      rt(0) = 0 UUb n7&  
      Exit Function |X&.+RI  
   Else VA4>!t)  
      '判断斜率存在否 2uonT,W  
      If p1x = p3x And p2x <> p4x Then =@%;6`AVcp  
         tt = "ac_n_bd_y" N[e QT
 
      ElseIf p1x <> p3x And p2x = p4x Then &' ,A2iG  
         tt = "ac_y_bd_n" 9[qEJ$--  
      ElseIf p1x <> p3x And p2x <> p4x Then jwsl"zL  
         tt = "ac_y_bd_y" ,>"rcd  
      End If Gok8:,  
    Select Case tt QoZ7
l]^  
         Case "ac_n_bd_y" K:PzR,nn  
            'bd线段方程 08)X:@ w?  
            k_bd = bdy / bdx Q\(VQ1c  
            b_bd = p2y - k_bd * p2x (!FUu  
            p_x = p1x z@!zQ Vp  
            p_y = k_bd * p_x + b_bd `J*~B  
         Case "ac_y_bd_n" |$[WnYP  
            'ac线段方程 ]y&w)-0  
            k_ac = acy / acx Fua:& 77  
            b_ac = p1y - k_ac * p1x 3f'dBn5  
            p_x = p2x !'uLV#YEZ  
            p_y = k_ac * p_x + b_ac ENu`@S='I3  
        Case "ac_y_bd_y" k2>gnk0  
           'ac，bd线段都要求 *69yB  
           k_ac = acy / acx $HjKELoJ<  
           b_ac = p1y - k_ac * p1x M%=V vE.I  
           k_bd = bdy / bdx !3~VoNh,  
           b_bd = p2y - k_bd * p2x emZ^d/A  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) >dH5n$Gb  
           p_y = k_ac * p_x + b_ac piIr.]  
        End Select j.C)KwelBS  
      rt(1) = p_x 9G8n'jWyY  
      rt(2) = p_y 8o' a  
     cG%ttfq\  
'计算最大半径 )c9]}:W&  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) k~|nU  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) y'sy]Q~  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) C N9lK29F)  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) &{B-a  
Dim bb(5) As Single ?VM#Nf\  
  bb(1) = rr1 RG(m:N  
  bb(2) = rr2 RusC5\BUX  
  bb(3) = rr3 V\axOz!  
  bb(4) = rr4 ibDMhW$n  
  nb = rr1 5j(3pV`_  
For i = 1 To 4 QusEWq)}<  
    If nb <= bb(i) Then Qxds]5WB/  
       nb = bb(i) aQax85  
    End If Q;O\tl  
Next i F",]*>r  
    rt(0) = Sqr(nb) J"w!Q\_  
    rr = rt() 4m++>q  
  End If U^_'e_)  
         75Xi%mlE7  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  v%> ?~`Y  

EF0{o_
  
有热压工艺方面的人才或者资料分享下； VS^%PM#:/  
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 ]M{SM`Ya  

高手真多！

楼主威武霸气.