[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： ]{t!J^Xn  
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关键点说几个： 50T^V`6  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 0fqycGSmU  
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 QTN'yd?WE  
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 "];@N!dA  

以下是几个重要的函数： vF[ 4kDHk  
1.判断点在区域中函数 S a
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2.计算夹角函数 y3PrLBTz  
3.转置函数 #nAq~@X  
4.得到区域中心点，及区域半径函数 3Y&4yIx  
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） Cbm^: _LR  
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.,fVVV;  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single $TK= :8HY  
   cax = x2 - x1 /{W6]6^  
   cay = y2 - y1 %}XyzGq{
  
   cbx = x2 - x3 aeAx0yE[p  
   cby = y2 - y3 wkV'']= Xg  
   mo_jj = cax * cbx + cay * cby @g]EY&Uzl  
   mo_ca = Sqr(cax * cax + cay * cay) yO*   
   mo_cb = Sqr(cbx * cbx + cby * cby) 9QL%
q; #  
   cos_acb = mo_jj / (mo_ca * mo_cb) GS}JyU  
   'ff_cos = cos_acb -~X[j2  
   If cos_acb >= 1 Then fc[_~I'  
   nn = 0 1uB$@a\  
   ElseIf cos_acb <= -1 Then (XY`1|])`  
   nn = 3.14159265258979 x($Djx  
   Else ED>a'y$f  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Gzg3{fXl  
   End If NSH4 @x  
   'ff_angle = nn *-{|m1P  
   ff_angle = nn * 180 / 3.14159265258979 Nd{U|k3pL  
End Function

'判断点在区域内函数 ^H{YL
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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 qd#7A ksm  
Dim aob, boc, cod, doa, sum As Single {8`$~c  
  If ppx = p1x And ppy = p1y Then ecR)8^1 '  
     point_in = True sf->8  
     Exit Function ?:-:m'jdU  
  End If "Aw)0a[j1  
  If ppx = p2x And ppy = p2y Then AQT_s9"0  
     point_in = True r\Yh'cRW{  
     Exit Function cCNRv$IO\  
  End If Kfr1k  
   If ppx = p3x And ppy = p3y Then p
e\Nwq  
     point_in = True Z@f{f:Jc/"  
     Exit Function Pnm$g;`P  
  End If mtn^+*  
     0\X<vrW  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) /]MelW  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) UxzF5V5  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ~(kqq#=s  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y)
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    sum = aob + boc + cod + doa vv{+p(~**O  
    If 360.01 > sum And sum > 359.99 Then zB~<@  
       point_in = True |5O>7~Tp  
    Else {uoF5|O6K  
       point_in = False x
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    End If PPIO<K 3`  
End Function

'得到点半径,得到交点坐标函数 kwc Cf2  
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() MK)}zjw  
    '求得中心点坐标 jTIG#J)  
Dim tt As String K4<"XF1A:  
Dim rt(3) As Single "g&f:[a/  
    '判断是否平行 )Ak#1w&q  
   acx = p3x - p1x nH6SA1$kW  
   acy = p3y - p1y a'?;;ZC-  
   bdx = p4x - p2x 9$;5J  
   bdy = p4y - p2y w|s2f`!  
   If acx * bdy = acy * bdx Then *YvtT(Gt  
      rt(0) = 0 &zX W  
      Exit Function ?4/pE@RIy  
   Else (4/"uj5  
      '判断斜率存在否 r+E!V'{C  
      If p1x = p3x And p2x <> p4x Then K6p\ >J  
         tt = "ac_n_bd_y" yVmp,""a  
      ElseIf p1x <> p3x And p2x = p4x Then WX?nq'nr  
         tt = "ac_y_bd_n" 1bCE~,tD  
      ElseIf p1x <> p3x And p2x <> p4x Then \EVT*v=}/  
         tt = "ac_y_bd_y" /-[vC$B"  
      End If }_zN%Tf
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    Select Case tt @gK`RmhGE5  
         Case "ac_n_bd_y" 9d#?,:JG  
            'bd线段方程 &'W7-Z\j-  
            k_bd = bdy / bdx JR.)CzC  
            b_bd = p2y - k_bd * p2x I!*P' {lh  
            p_x = p1x 92<+ug=  
            p_y = k_bd * p_x + b_bd HJ7A/XW  
         Case "ac_y_bd_n" #&Tm%CvB  
            'ac线段方程 xz!0
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            k_ac = acy / acx B+Qf?1f  
            b_ac = p1y - k_ac * p1x :5%98V>02  
            p_x = p2x N'ER!=l)  
            p_y = k_ac * p_x + b_ac KqntOo} y)  
        Case "ac_y_bd_y" `~)?OTzU#  
           'ac，bd线段都要求 it\$Pih]  
           k_ac = acy / acx 2{b
/*w  
           b_ac = p1y - k_ac * p1x M^:JhX{  
           k_bd = bdy / bdx ?m]vk|>  
           b_bd = p2y - k_bd * p2x SqPqL<,e  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 5WHz_'c  
           p_y = k_ac * p_x + b_ac ~O\A 0e  
        End Select + m-88  
      rt(1) = p_x p-.kBF  
      rt(2) = p_y HAK,z0/  
     hb3:,c(  
'计算最大半径 U,i_}O3Q  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) #17 &rizl  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) #wIWh^^ Zy  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) LP#wE~K"b  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) I~n4}}9M  
Dim bb(5) As Single z)C/U  
  bb(1) = rr1 i&>^"_4rc  
  bb(2) = rr2 G]rY1f0  
  bb(3) = rr3 pV ^+X}  
  bb(4) = rr4 vK)'3%  
  nb = rr1 M@{?#MkS%  
For i = 1 To 4 MN2i0!+  
    If nb <= bb(i) Then ZcX
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       nb = bb(i) \HLo%]A@M  
    End If 0"OEOYs}  
Next i C5dM`_3L  
    rt(0) = Sqr(nb) hE(R[hc  
    rr = rt() u:pOP  
  End If <
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         &!/>B .  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  PoaCnoNS  

KE,.Evyu=  
有热压工艺方面的人才或者资料分享下； 1?&|V1
vc  
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 [mv? \HDa~  

高手真多！

楼主威武霸气.