[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： dg"3rs /?A  
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关键点说几个： T7u%^xm  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） \(Y\|zC'0$  
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 $!yW_HTx  
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 EbE-}>7OO  

以下是几个重要的函数： uIZ-#q  
1.判断点在区域中函数 9:1Q1,-i!-  
2.计算夹角函数 ,N[7/kT|  
3.转置函数 71gT.E  
4.得到区域中心点，及区域半径函数 ~SF<,-Kg  
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） 1@R Db)<V  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 l6kWQpV  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single !&/{E [  
   cax = x2 - x1 )oPLl|=h  
   cay = y2 - y1 Q/_f zg  
   cbx = x2 - x3 @&:ar
 
   cby = y2 - y3 "C19b:4H  
   mo_jj = cax * cbx + cay * cby ie\"$i.98H  
   mo_ca = Sqr(cax * cax + cay * cay) V'T ,4  
   mo_cb = Sqr(cbx * cbx + cby * cby) t&CJ%XP  
   cos_acb = mo_jj / (mo_ca * mo_cb) af+IP_6 .  
   'ff_cos = cos_acb qA$*YI
lK  
   If cos_acb >= 1 Then GlT7b/JCG  
   nn = 0 Rh{zH~oZ  
   ElseIf cos_acb <= -1 Then MIoEauf  
   nn = 3.14159265258979 s6zNV4  
   Else x`mN U  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) lBTmx(_}}r  
   End If 7MHKeLq  
   'ff_angle = nn H_ox_ u}  
   ff_angle = nn * 180 / 3.14159265258979 "4H +!r}  
End Function

'判断点在区域内函数 xA$ns
Z]  
Function point_in(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single, ppx As Single, ppy As Single) As Boolean C #6dC0  
Dim aob, boc, cod, doa, sum As Single \z7SkZt,GT  
  If ppx = p1x And ppy = p1y Then ;R?I4}O#R8  
     point_in = True 0B@Jity#!  
     Exit Function ";Rtiiu  
  End If fKeT~z{~  
  If ppx = p2x And ppy = p2y Then <5jzl  
     point_in = True x{c/$+Z[  
     Exit Function Z%Zd2 v  
  End If #x3ujJ  
   If ppx = p3x And ppy = p3y Then '-b*EZU8t  
     point_in = True  S"$m]  
     Exit Function u[/m
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  End If /&{$ pM|?  
     aj,T)oDbt6  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) k]HEhY  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) p4i]7o@  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ez!C?  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Adgc% .#  
    sum = aob + boc + cod + doa hq/k*;  
    If 360.01 > sum And sum > 359.99 Then o b|BXF  
       point_in = True ]Ww?QhJ  
    Else H
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       point_in = False 7C2&NyWJ  
    End If :`2=@.  
End Function

'得到点半径,得到交点坐标函数 \Z/)Y;|mi0  
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() XNb ZNaAd  
    '求得中心点坐标 01. &>Duw  
Dim tt As String -,{-bi  
Dim rt(3) As Single ?9=9C"&s  
    '判断是否平行 ;6{@^  
   acx = p3x - p1x u=/CRjot  
   acy = p3y - p1y _fP&&}  
   bdx = p4x - p2x ]a3iEA2 (  
   bdy = p4y - p2y mA@Me7m}  
   If acx * bdy = acy * bdx Then (q7 Ry4-  
      rt(0) = 0 ;/*6U  
      Exit Function :C8$Xi_i}  
   Else @*DyZB  
      '判断斜率存在否 =.`qixN  
      If p1x = p3x And p2x <> p4x Then Uyr3dN%*r  
         tt = "ac_n_bd_y" k8uvNLA)a  
      ElseIf p1x <> p3x And p2x = p4x Then eDZ8w  
         tt = "ac_y_bd_n" <ExZ:ip  
      ElseIf p1x <> p3x And p2x <> p4x Then ed_FiQd  
         tt = "ac_y_bd_y" %F*|;o7
s  
      End If 1#4PG'H  
    Select Case tt {Pu\?Cq  
         Case "ac_n_bd_y" T'aec]u  
            'bd线段方程 r]Ff{la5  
            k_bd = bdy / bdx =}:)y0L  
            b_bd = p2y - k_bd * p2x FsGlJ  
            p_x = p1x EmT`YNuc  
            p_y = k_bd * p_x + b_bd wB{;bB{  
         Case "ac_y_bd_n" H<G4O02i_  
            'ac线段方程 (x$9~;<S*d  
            k_ac = acy / acx R1W}dRE}  
            b_ac = p1y - k_ac * p1x <JwX_\?
ln  
            p_x = p2x e~T@~(fft  
            p_y = k_ac * p_x + b_ac q0bHB_|wL  
        Case "ac_y_bd_y" Y05P'Q  
           'ac，bd线段都要求 o(Cey7  
           k_ac = acy / acx N8`4veVBx'  
           b_ac = p1y - k_ac * p1x 5I@w~z  
           k_bd = bdy / bdx A[YpcG'9  
           b_bd = p2y - k_bd * p2x ACK1@eF  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) [|3>MZ2/  
           p_y = k_ac * p_x + b_ac 45H!;Qsk  
        End Select ^U8
r0]9  
      rt(1) = p_x N=)z  
      rt(2) = p_y xyE1Gw`V  
     h`}3h< 8  
'计算最大半径 ;!T{%-tP  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) [!VOw@uz  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) n!E2_  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) Fv)7c4  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) j` /&r*zNq  
Dim bb(5) As Single Ij'NC C  
  bb(1) = rr1 JkA|Qdj~Mr  
  bb(2) = rr2 z
K+52jhi  
  bb(3) = rr3 pNE(n4v  
  bb(4) = rr4 Z2bcCIq4  
  nb = rr1 +"g~"<  
For i = 1 To 4 j,2l8?  
    If nb <= bb(i) Then W];EKj,3W  
       nb = bb(i) swc@34ei\  
    End If t%r :4,  
Next i >uI$^y1
D  
    rt(0) = Sqr(nb) O;]?gj 1@  
    rr = rt() qUF1XJZ}z  
  End If 0%;146.p  
         L{ymI)Y^  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  #Mi|IwL  

WaYO1
*=  
有热压工艺方面的人才或者资料分享下；
b4
~H3|  
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 "oE*9J?e  

高手真多！

楼主威武霸气.