[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： ,Jcm+Wb  
-':Y\:W  

描述:请输入描述

图片:2.jpg

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关键点说几个： C3G)'
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1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） dt~YW  
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 nXjP
x@  
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 SP|<Tny  

以下是几个重要的函数： Q}S_%I}u:  
1.判断点在区域中函数 XUuu-wm:}  
2.计算夹角函数 {EdH$l>94  
3.转置函数 # O4gg  
4.得到区域中心点，及区域半径函数 Rq[ M29  
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） ID
.n1i3  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 "zIFxDR#  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single RZ1 /#;  
   cax = x2 - x1 h^j?01*Et  
   cay = y2 - y1 `bc;]@"  
   cbx = x2 - x3 K(XN-D/c  
   cby = y2 - y3 l3nrEk  
   mo_jj = cax * cbx + cay * cby iMfngIs |  
   mo_ca = Sqr(cax * cax + cay * cay) 1xv8gC:6  
   mo_cb = Sqr(cbx * cbx + cby * cby) 2>*%q%81  
   cos_acb = mo_jj / (mo_ca * mo_cb) ;(
}V"i7Hu  
   'ff_cos = cos_acb 3_q3Bk  
   If cos_acb >= 1 Then CR2_;x:0  
   nn = 0 sl2@umR7%(  
   ElseIf cos_acb <= -1 Then ZylJp
8U  
   nn = 3.14159265258979 V^Hu3aUx8  
   Else 7<H |QL&  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) !ZU2{  
   End If 7bDHXn  
   'ff_angle = nn fvb=#58N_  
   ff_angle = nn * 180 / 3.14159265258979 ]tY ^0a  
End Function

'判断点在区域内函数 fu$
R7  
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 ~n}k\s~|4  
Dim aob, boc, cod, doa, sum As Single O0>A+o[1F  
  If ppx = p1x And ppy = p1y Then zS]8V?`  
     point_in = True t20PP4FWM  
     Exit Function $H$j-)\D  
  End If /pp1~r.s?>  
  If ppx = p2x And ppy = p2y Then ;l}- Z@! /  
     point_in = True L4L2O7  
     Exit Function z4E|Ai  
  End If h~wi6^{&Y  
   If ppx = p3x And ppy = p3y Then tTU=+*Io  
     point_in = True DS|KkTy3  
     Exit Function aTBR|US  
  End If V(Yxh+KU  
     ^}f -!nf[  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 9_sA&2P{uV  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) >&!RWH9*q  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) l
1]p'Liuu  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) rWh6RYd<T  
    sum = aob + boc + cod + doa 5Zw1y@k(  
    If 360.01 > sum And sum > 359.99 Then cQ:"-!ff  
       point_in = True N N|u_  
    Else =+w*gDr  
       point_in = False 21RP=0Q:  
    End If %& _V0R\k  
End Function

'得到点半径,得到交点坐标函数 wM[~2C=vx  
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() }3R13  
    '求得中心点坐标 |w}xl'>q  
Dim tt As String (z$r:p  
Dim rt(3) As Single 6WoAs)ZF  
    '判断是否平行 ny-7P;->8  
   acx = p3x - p1x r6'UUu  
   acy = p3y - p1y >u%]6_[  
   bdx = p4x - p2x }IEbyb  
   bdy = p4y - p2y p$7#}s  
   If acx * bdy = acy * bdx Then Il.Ed-&62  
      rt(0) = 0 {K#NB_*To  
      Exit Function 2wqk,c[]  
   Else f`>/ H!<2  
      '判断斜率存在否 ~7!7\i,Y8\  
      If p1x = p3x And p2x <> p4x Then D\/xu-&  
         tt = "ac_n_bd_y" D}3XFuZs_  
      ElseIf p1x <> p3x And p2x = p4x Then W(fr<<hL  
         tt = "ac_y_bd_n" J/);"bg_O  
      ElseIf p1x <> p3x And p2x <> p4x Then QCPID:  
         tt = "ac_y_bd_y" KNgH|5Pb  
      End If '2zL.:~  
    Select Case tt ~](fFa{  
         Case "ac_n_bd_y" fQ>4MKLw=d  
            'bd线段方程 Ff^@~X+W<  
            k_bd = bdy / bdx *b}>cn)<v  
            b_bd = p2y - k_bd * p2x t0:AScZY   
            p_x = p1x +*oS((0s  
            p_y = k_bd * p_x + b_bd 7nzGAz_W  
         Case "ac_y_bd_n" bU 63X={  
            'ac线段方程 hgRVwX  
            k_ac = acy / acx JFL>nH0mk.  
            b_ac = p1y - k_ac * p1x }G$]LWgQx
 
            p_x = p2x :"0J=>PH:  
            p_y = k_ac * p_x + b_ac ^5=UK7e5KY  
        Case "ac_y_bd_y" B@Nt`ky0*  
           'ac，bd线段都要求 /RLq>#:h**  
           k_ac = acy / acx weMww,:^[  
           b_ac = p1y - k_ac * p1x 'cDx{?  
           k_bd = bdy / bdx #$vRJ#S}U  
           b_bd = p2y - k_bd * p2x ;evCW$G=  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) rg(lCL&:S  
           p_y = k_ac * p_x + b_ac 2Ha5yaTL  
        End Select OEr:xK2T  
      rt(1) = p_x H]<]^Zmjy  
      rt(2) = p_y M^rM-{?<  
     nD"~?*Lt  
'计算最大半径 h!&sNzX  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) m8+(%>+
7  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 4"\yf  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 9+YD!y  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ~#:e*:ro  
Dim bb(5) As Single .V6-(d  
  bb(1) = rr1 ]Pn!nSg  
  bb(2) = rr2 cd;NpN  
  bb(3) = rr3 o7&4G$FX~  
  bb(4) = rr4 RK9>dk
W  
  nb = rr1 6*GjP ;S=  
For i = 1 To 4 MQ][mMM;w  
    If nb <= bb(i) Then z}}]jR\y?  
       nb = bb(i) Ccfwax+  
    End If FgA//)1  
Next i t0PQ~|H<KV  
    rt(0) = Sqr(nb) Z#`0txCF  
    rr = rt() {F*N=p
Sq  
  End If xFp<7p L  
         
.&,[,  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  u(9X  

>~&(P_<b  
有热压工艺方面的人才或者资料分享下； 7Dl%UG]  
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 _'c+fG \  

高手真多！

楼主威武霸气.