[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： =im7RgIBo  
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描述:请输入描述

图片:2.jpg

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关键点说几个： kK~,?l  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） !4mg
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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 @;t6Slc"~  
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 9D[Jn}E:  

以下是几个重要的函数： \'CA:9V}  
1.判断点在区域中函数 ~-f"&@){,  
2.计算夹角函数 <?Fkw
W\?  
3.转置函数 \e9rXh%  
4.得到区域中心点，及区域半径函数 !hjA   
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） Sp/<%+2(  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 7
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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 ;<l#k7/  
   cax = x2 - x1 I
Xv9mr?H}  
   cay = y2 - y1 Q.,2G7[ <  
   cbx = x2 - x3 `8/D
$  
   cby = y2 - y3 txik{' :  
   mo_jj = cax * cbx + cay * cby Z=dM7Lj*  
   mo_ca = Sqr(cax * cax + cay * cay) 3IG<Ot9  
   mo_cb = Sqr(cbx * cbx + cby * cby) D{rM  
   cos_acb = mo_jj / (mo_ca * mo_cb) \l1==,wk  
   'ff_cos = cos_acb Zo<j"FG  
   If cos_acb >= 1 Then K05U>151  
   nn = 0 Z(I=KBI  
   ElseIf cos_acb <= -1 Then Mp?L9  
   nn = 3.14159265258979 <,*3Av  
   Else w:+&i|H>  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) L6./5`bs  
   End If l5/gM[0_7  
   'ff_angle = nn N6HeZB":  
   ff_angle = nn * 180 / 3.14159265258979 <q
&4Y+b  
End Function

'判断点在区域内函数 :(iBLO<x  
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 HR;I}J 9  
Dim aob, boc, cod, doa, sum As Single wJC F"e  
  If ppx = p1x And ppy = p1y Then WbwwI)1  
     point_in = True @'<=EAXe  
     Exit Function uUb`Fy9  
  End If .C` YO2,  
  If ppx = p2x And ppy = p2y Then Zs4NN2~  
     point_in = True hHZ'*,9 y  
     Exit Function 5z&>NI  
  End If 7,zE?KG /  
   If ppx = p3x And ppy = p3y Then _2Mpzv  
     point_in = True ]iMqIh"  
     Exit Function A*g-pJh  
  End If Y,Lx6kU  
     L2=:Nac  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) /;kSa}"Q  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) ]!j%Ad  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 9Dbbk
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    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) E\ls- (,  
    sum = aob + boc + cod + doa R?IRE91 :  
    If 360.01 > sum And sum > 359.99 Then n,d)Wwe_`y  
       point_in = True '50}QY_R.  
    Else d<6m_!L  
       point_in = False pD(
'6C;  
    End If B77`azwF  
End Function

'得到点半径,得到交点坐标函数 oKCv$>Y  
Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() ITg<u?z_  
    '求得中心点坐标 0?}n(f!S  
Dim tt As String X`1R&K;z^  
Dim rt(3) As Single }=}wLm#&1  
    '判断是否平行 4Us_Z{.  
   acx = p3x - p1x [(gXjt-  
   acy = p3y - p1y ;s;3cC!  
   bdx = p4x - p2x tt#dO@G#Fe  
   bdy = p4y - p2y QZtQogNy#  
   If acx * bdy = acy * bdx Then ~d].<Be  
      rt(0) = 0 ]jYFrOMy4S  
      Exit Function R1D ;  
   Else E7M_R/7@y  
      '判断斜率存在否 wJNm}Wf  
      If p1x = p3x And p2x <> p4x Then u88wSe<\X  
         tt = "ac_n_bd_y" Io|D
u  
      ElseIf p1x <> p3x And p2x = p4x Then 9?8PMh.  
         tt = "ac_y_bd_n" ;1s+1G}_z  
      ElseIf p1x <> p3x And p2x <> p4x Then {}$Zff  
         tt = "ac_y_bd_y" ![sXR  
      End If 9Msy=qvYG  
    Select Case tt :W5W @8Y  
         Case "ac_n_bd_y" Z %Ozzp/  
            'bd线段方程 uKd
4+Km  
            k_bd = bdy / bdx eZaSV>27  
            b_bd = p2y - k_bd * p2x tc<uS%XT4^  
            p_x = p1x [:FiA?O]  
            p_y = k_bd * p_x + b_bd o8Gygi5  
         Case "ac_y_bd_n" Yj#tF}nPC  
            'ac线段方程 ;AE-=/<  
            k_ac = acy / acx :aK?DtZ  
            b_ac = p1y - k_ac * p1x 8!rdqI  
            p_x = p2x ! 5NuFLOf  
            p_y = k_ac * p_x + b_ac ZZ7qSyBs?  
        Case "ac_y_bd_y" __2<v?\  
           'ac，bd线段都要求 h%krA<G9  
           k_ac = acy / acx LP=j/qf|  
           b_ac = p1y - k_ac * p1x fT|A^  
           k_bd = bdy / bdx W*t] d  
           b_bd = p2y - k_bd * p2x xH xTL>,?  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) }!AS?  
           p_y = k_ac * p_x + b_ac KWZhCS?[(  
        End Select ocFk#FW  
      rt(1) = p_x nuXL{tg6  
      rt(2) = p_y 3f] ;y<K
m  
     #3QPcoxa  
'计算最大半径 IQRuqp KL  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) Jsysk $R  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 68Gywk3]=u  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) $[A\i<#  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 1^4:l!0D  
Dim bb(5) As Single EU%,tp   
  bb(1) = rr1 )63 $,y-;$  
  bb(2) = rr2 +yp:douERi  
  bb(3) = rr3 <;6{R#Tuh  
  bb(4) = rr4 pA6KiY&  
  nb = rr1 jYFJk&c  
For i = 1 To 4 RqtBz3v  
    If nb <= bb(i) Then I I+y  
       nb = bb(i) W&IG,7tr  
    End If y %Q.(  
Next i  ch8a  
    rt(0) = Sqr(nb) A^>@6d $2  
    rr = rt() MLu!8dgI  
  End If 
kFv*>>X`  
         ('tXv"fT  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  >C0B!MT?3%  

7Qd4L.  
有热压工艺方面的人才或者资料分享下； ~H}Z;n]H  
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 9@*pC@I)  

高手真多！

楼主威武霸气.