[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： .9on@S  
hk(ZM#Bh  
hl7bzKO*w  

关键点说几个： BOb">6C  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） g|DF[  
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 d6?j`~[7#-  
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 8rnwXPBN  

以下是几个重要的函数： U8s2|G;K  
1.判断点在区域中函数  acajHs  
2.计算夹角函数 ExY]Sdx  
3.转置函数 GfxZ'VIn  
4.得到区域中心点，及区域半径函数 |B?m,U$A!  
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） )#0O>F~  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 <,3
a3  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single YquI$PV _  
   cax = x2 - x1 [SjqOTon{  
   cay = y2 - y1 SXSgld2uS  
   cbx = x2 - x3 6C1#/  
   cby = y2 - y3 =m]v8`g  
   mo_jj = cax * cbx + cay * cby }kw#7m54  
   mo_ca = Sqr(cax * cax + cay * cay) EKYY6S2  
   mo_cb = Sqr(cbx * cbx + cby * cby)  R~TTL  
   cos_acb = mo_jj / (mo_ca * mo_cb) yJ[0WY8<kC  
   'ff_cos = cos_acb A]_7}<<N  
   If cos_acb >= 1 Then 2 ~dE<}  
   nn = 0 70yFaW  
   ElseIf cos_acb <= -1 Then >2Y=*K,:  
   nn = 3.14159265258979 gldAP:  
   Else +C^nO=[E  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Z\(q@3C  
   End If YU'k#\gi*  
   'ff_angle = nn vz@A;t  
   ff_angle = nn * 180 / 3.14159265258979 |QF7 uV  
End Function

'判断点在区域内函数 K6)Gc%:`  
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 +X\FBvP&  
Dim aob, boc, cod, doa, sum As Single (fhb0i-  
  If ppx = p1x And ppy = p1y Then ?=u\n;w)  
     point_in = True {Ea b j  
     Exit Function [DYQ"A=)d  
  End If "-Mp_O]  
  If ppx = p2x And ppy = p2y Then ;_XFo&@  
     point_in = True ,Y@Gyx!4  
     Exit Function (Nq=H)cm8  
  End If ./XYd"p  
   If ppx = p3x And ppy = p3y Then x[|}.Ew  
     point_in = True f'F?MINJP  
     Exit Function 9V a}I
-  
  End If 2/U.|*mH  
     NYhB'C2  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 2zX]\s?3  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) k<z)WNBf  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) `T1  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) V~qNyOtA]  
    sum = aob + boc + cod + doa pP1|&`}ux  
    If 360.01 > sum And sum > 359.99 Then gZV
c 5u<  
       point_in = True n5|fHk^s  
    Else hy9\57_#  
       point_in = False #j;^\rSv-  
    End If BqEI(c6  
End Function

'得到点半径,得到交点坐标函数 WpDSg*fk=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() b\f O8{k  
    '求得中心点坐标 &{5,:%PXw  
Dim tt As String VCYwzB  
Dim rt(3) As Single 4>YR{  
    '判断是否平行 KA5v+~  
   acx = p3x - p1x "> ypIR<  
   acy = p3y - p1y g_E$=j92v  
   bdx = p4x - p2x %64)(z  
   bdy = p4y - p2y TT%M'5&  
   If acx * bdy = acy * bdx Then u$z`   
      rt(0) = 0 3l]lwV  
      Exit Function D'>_I.  
   Else kb%;=t2  
      '判断斜率存在否 B
X/8O<s0  
      If p1x = p3x And p2x <> p4x Then Lpkyoh v  
         tt = "ac_n_bd_y" 4X/-4'  
      ElseIf p1x <> p3x And p2x = p4x Then rE7G{WII  
         tt = "ac_y_bd_n" alJ)^OSIe  
      ElseIf p1x <> p3x And p2x <> p4x Then  y`iBFC;_  
         tt = "ac_y_bd_y" TJd)K$O>  
      End If xh-o}8*n"  
    Select Case tt ,O5NLg-  
         Case "ac_n_bd_y" t
hh.A  
            'bd线段方程 ;7*[Bcj.  
            k_bd = bdy / bdx t3WiomNCc  
            b_bd = p2y - k_bd * p2x  ,i NXK  
            p_x = p1x U)TUOwF  
            p_y = k_bd * p_x + b_bd 3Zu
Z/=  
         Case "ac_y_bd_n" 5PCqYN(:B  
            'ac线段方程 bG"~"ipn%  
            k_ac = acy / acx >I
afUy  
            b_ac = p1y - k_ac * p1x j a[Et/r  
            p_x = p2x E)&I@m  
            p_y = k_ac * p_x + b_ac (y'hyJo  
        Case "ac_y_bd_y" K`eCDvlH  
           'ac，bd线段都要求 MR7}s4o  
           k_ac = acy / acx n)/z0n!\  
           b_ac = p1y - k_ac * p1x Oamg]ST  
           k_bd = bdy / bdx D
>r&}6<  
           b_bd = p2y - k_bd * p2x Z3e| UAif  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) &;6`)M{*}  
           p_y = k_ac * p_x + b_ac O^PKn_OJ  
        End Select "V7K SO  
      rt(1) = p_x .8g)av+  
      rt(2) = p_y _%Bi: HG0  
     >h1}~jW+  
'计算最大半径 .~db4d]  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) _RYxD"my  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) jwe*(k]z  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) }v;V=%N+v  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) .<?GS{6 N  
Dim bb(5) As Single $p8xEcQdU#  
  bb(1) = rr1 s
jTZF-  
  bb(2) = rr2 Rh2+=N<X  
  bb(3) = rr3 G5_=H,Vmd  
  bb(4) = rr4 [^n.Pns  
  nb = rr1 @u+]aI!`-  
For i = 1 To 4 <{p4V|:  
    If nb <= bb(i) Then &AMl:@p9  
       nb = bb(i) LP^$AAy  
    End If 7Die FZ?  
Next i G't$Qx,IC  
    rt(0) = Sqr(nb) yN0Vr\r2  
    rr = rt() 5pG}Yk_(x  
  End If 5ta `%R_  
         w/<L Ag  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  Yh7t"=o  

Dy&i&5E.-l  
有热压工艺方面的人才或者资料分享下； ]/6z; ~3U  
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 G*MUO#_iuh  

高手真多！

楼主威武霸气.