[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： UW'@3#<?  
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关键点说几个： UsgrI>|l  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） O+"a0:GM  
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 9`tSg!YOh  
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 heScIe N^`  

以下是几个重要的函数： Sq]QRI/  
1.判断点在区域中函数 2  Z
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2.计算夹角函数 z) x.6  
3.转置函数 nd }Z[)  
4.得到区域中心点，及区域半径函数 Ey)ey-'\  
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） ~\+Bb8+hpJ  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 FuC\
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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 )Em`kle  
   cax = x2 - x1 #gVWLm<  
   cay = y2 - y1 }#S1!TU  
   cbx = x2 - x3 :eIQF7-  
   cby = y2 - y3 gv){&=9/  
   mo_jj = cax * cbx + cay * cby $LVzhQlD  
   mo_ca = Sqr(cax * cax + cay * cay) Y h53Z"a  
   mo_cb = Sqr(cbx * cbx + cby * cby) 5\}E4y  
   cos_acb = mo_jj / (mo_ca * mo_cb) Tj+U:#!!~  
   'ff_cos = cos_acb *T~b ox  
   If cos_acb >= 1 Then &ET$ca`j#  
   nn = 0 LtUvFe  
   ElseIf cos_acb <= -1 Then H5*#=It  
   nn = 3.14159265258979 k
*D8IB  
   Else )iid9K<HB  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) M 5$JBnN  
   End If TfHL'u9B  
   'ff_angle = nn ^^F 8M0k3  
   ff_angle = nn * 180 / 3.14159265258979 jig3M N  
End Function

'判断点在区域内函数 w OOu/Y  
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 al9( 9)  
Dim aob, boc, cod, doa, sum As Single y06xl:iQwF  
  If ppx = p1x And ppy = p1y Then Z}{]/=h  
     point_in = True 5nTcd
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     Exit Function '$rCV,3q  
  End If ?J-
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  If ppx = p2x And ppy = p2y Then TZGk[u^*  
     point_in = True p5% %k-  
     Exit Function sWB@'P:x  
  End If d]:G#<.  
   If ppx = p3x And ppy = p3y Then 4LW~  
     point_in = True x6*y$D^B  
     Exit Function RR'sW@  
  End If 3hxV`rb  
     ooBBg@  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 6nREuT'k  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) A3*(c3
  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) &SNH1b#>E  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) G:y+yE4  
    sum = aob + boc + cod + doa '$eJATtC  
    If 360.01 > sum And sum > 359.99 Then L62%s[  
       point_in = True aGfp"NtL  
    Else c{ +bY.J  
       point_in = False 7WUvO  
    End If :H&G}T
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End Function

'得到点半径,得到交点坐标函数 4T;<`{]  
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(d|TwG{  
    '求得中心点坐标 (xoYYO  
Dim tt As String RgW#z-PZF  
Dim rt(3) As Single s$?LMfT  
    '判断是否平行 aWH  
   acx = p3x - p1x n\V7^N  
   acy = p3y - p1y {qbe ye!  
   bdx = p4x - p2x Gi#-TP\  
   bdy = p4y - p2y V0#Ocq,  
   If acx * bdy = acy * bdx Then k<Cb
I V  
      rt(0) = 0 T:zM]%Xh  
      Exit Function $IjI{%  
   Else U*E)y7MY  
      '判断斜率存在否 2
  
      If p1x = p3x And p2x <> p4x Then DW78SoyedZ  
         tt = "ac_n_bd_y" \v5;t9uBZ  
      ElseIf p1x <> p3x And p2x = p4x Then 6>)nkD32g  
         tt = "ac_y_bd_n" Dg"szJ-   
      ElseIf p1x <> p3x And p2x <> p4x Then esQ$.L
 
         tt = "ac_y_bd_y" ^jUw4Dj~-q  
      End If GN9kCyPK  
    Select Case tt XZM@Rys  
         Case "ac_n_bd_y" J=gFiBw  
            'bd线段方程 xy4+ [u  
            k_bd = bdy / bdx tl\<:8pI"  
            b_bd = p2y - k_bd * p2x J 7G-qF\  
            p_x = p1x |#M|"7;2z  
            p_y = k_bd * p_x + b_bd V>,=%r4f  
         Case "ac_y_bd_n" _ZFEo< `'  
            'ac线段方程 +xU({/  
            k_ac = acy / acx v
J=Q{_D=\  
            b_ac = p1y - k_ac * p1x t89Tt@cf  
            p_x = p2x \!BVf@>p%  
            p_y = k_ac * p_x + b_ac  7gZ}Qy  
        Case "ac_y_bd_y" f,Dic%$q  
           'ac，bd线段都要求 jl&Nphp  
           k_ac = acy / acx rQ_@q_B.  
           b_ac = p1y - k_ac * p1x kltW  
           k_bd = bdy / bdx Iv*\8?07)  
           b_bd = p2y - k_bd * p2x LX oJw$C  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) V+y"L>K  
           p_y = k_ac * p_x + b_ac ~6@`;s`[Y  
        End Select :?BK A0E  
      rt(1) = p_x /e?0Iv" 8>  
      rt(2) = p_y +kQ=2dva  
     _8 |X820  
'计算最大半径 kaB4[u  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) X~c?C-fV  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 3Cc#{X-+  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) :S_]!'H  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) %dg[ho  
Dim bb(5) As Single 1ONkmVtL  
  bb(1) = rr1 )X[2~E  
  bb(2) = rr2 _/noWwVu  
  bb(3) = rr3 -X~|jF  
  bb(4) = rr4 ~'KqiUY  
  nb = rr1 RK &>!^  
For i = 1 To 4 /*,_\ ;  
    If nb <= bb(i) Then .6a
zUD4  
       nb = bb(i) @`:X,]{  
    End If o!KDeY  
Next i L*[3rqER  
    rt(0) = Sqr(nb) ->{-yh]jv  
    rr = rt() @x+2b0 b  
  End If @r/~Y]0Ye5  
         M?%x=q\<  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  Szgo@x$^  

gVOAB-nw  
有热压工艺方面的人才或者资料分享下； +y?Ilkk;j  
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 r[a7">n  

高手真多！

楼主威武霸气.