[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： bJX)$G  
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关键点说几个： vzim<;i  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） aWR}R>E  
2.需要定义光轴的方向；简便的方法就是指定光源坐标，及网点区域坐标，这样光轴就确定了 t%E!o0+8Z  
3.网点区域密度可调；把区域分成若干小块，每块的密度不同即可 *GL/aEI<$  

以下是几个重要的函数： MkfBuW;)  
1.判断点在区域中函数 A#EDkU,  
2.计算夹角函数 old(i:2  
3.转置函数 fSK]|"c  
4.得到区域中心点，及区域半径函数 1_PoqD!q  
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） n\*!CXc  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 k_ & :24Lj  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 6dabU
*  
   cax = x2 - x1 [q?<Qe  
   cay = y2 - y1 zzTfYf)  
   cbx = x2 - x3 6e9
,PS  
   cby = y2 - y3 9g'LkP  
   mo_jj = cax * cbx + cay * cby g{OwuAC_  
   mo_ca = Sqr(cax * cax + cay * cay) l;R%= P?'F  
   mo_cb = Sqr(cbx * cbx + cby * cby) <D<4BnZ(  
   cos_acb = mo_jj / (mo_ca * mo_cb) I*{4rDt  
   'ff_cos = cos_acb CZud& <  
   If cos_acb >= 1 Then \^L`7cBL  
   nn = 0 8m2Tk\;:  
   ElseIf cos_acb <= -1 Then Mm.
<r-b  
   nn = 3.14159265258979 x@P y>f2  
   Else Ugu[|,  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) y{ibO}s  
   End If 3er nTD*`  
   'ff_angle = nn HHDl8lo  
   ff_angle = nn * 180 / 3.14159265258979 -JMdE_h  
End Function

'判断点在区域内函数 U`R5'Tf;  
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 RDW8]=uM  
Dim aob, boc, cod, doa, sum As Single 4r>6G/b8*  
  If ppx = p1x And ppy = p1y Then R.jIl@p   
     point_in = True Zn&, t &z  
     Exit Function HePUWL'  
  End If D>/0v8  
  If ppx = p2x And ppy = p2y Then = s>T;|  
     point_in = True wQqb`l7+  
     Exit Function zL$@`Eh-KP  
  End If \Jx04[=  
   If ppx = p3x And ppy = p3y Then R<\F:9  
     point_in = True JJP08oP  
     Exit Function @Z*W  
  End If tjIl-IQ  
     1C<uz29  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) Eo{"9j\  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) (U&tt]|  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) iP =V8g?L  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 2)G %)'  
    sum = aob + boc + cod + doa ]JCv
yz H  
    If 360.01 > sum And sum > 359.99 Then QqFR\6  
       point_in = True _wTOmz%|R  
    Else C<NLE-  
       point_in = False \]</w5 Pi,  
    End If n"c)m%yZ  
End Function

'得到点半径,得到交点坐标函数 [0(B>a3J  
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() z>XrU>}  
    '求得中心点坐标 W }8'Pf  
Dim tt As String "Om=
N@?  
Dim rt(3) As Single GR +[UG  
    '判断是否平行 j"}*T  
   acx = p3x - p1x :e_V7t)o  
   acy = p3y - p1y 5k`l$mW{  
   bdx = p4x - p2x \Pj  
   bdy = p4y - p2y Hc>m;[M)l  
   If acx * bdy = acy * bdx Then qCljo5Tq'  
      rt(0) = 0 Fgp]l2*  
      Exit Function vK9E   
   Else ~tBYIkvWT  
      '判断斜率存在否 pnjXf.g"O  
      If p1x = p3x And p2x <> p4x Then =-8bsV/l  
         tt = "ac_n_bd_y" /JHc!D  
      ElseIf p1x <> p3x And p2x = p4x Then ,{BaePMp  
         tt = "ac_y_bd_n" j
7jCm:  
      ElseIf p1x <> p3x And p2x <> p4x Then t; 4]cg:_  
         tt = "ac_y_bd_y" -*$HddD  
      End If TM_/`a2}  
    Select Case tt pimtiQqC  
         Case "ac_n_bd_y" N>XS=2tzN  
            'bd线段方程 K? y[V1,  
            k_bd = bdy / bdx >33=
<~#n  
            b_bd = p2y - k_bd * p2x lr`&mZ( j  
            p_x = p1x ;\]b T;#  
            p_y = k_bd * p_x + b_bd KVn []@#  
         Case "ac_y_bd_n" ^Pbk#|$rU  
            'ac线段方程 F<qz[,]|-j  
            k_ac = acy / acx 7JEbH?lEN  
            b_ac = p1y - k_ac * p1x ;$smH=I  
            p_x = p2x VFRi1\G  
            p_y = k_ac * p_x + b_ac 1guJG_;z  
        Case "ac_y_bd_y" 8,C*4y~  
           'ac，bd线段都要求 <eQj`HL  
           k_ac = acy / acx [H6hyG~  
           b_ac = p1y - k_ac * p1x | #47O  
           k_bd = bdy / bdx 9y<*8bI  
           b_bd = p2y - k_bd * p2x W3MU1gl6k{  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) qU#1i:(F*  
           p_y = k_ac * p_x + b_ac aX5 z&r:{  
        End Select mj9 <%P  
      rt(1) = p_x gk"$,\DI  
      rt(2) = p_y G/7cK\^u  
     [_1G@S6Ex  
'计算最大半径 2E}*v5b,  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) ?}kG`q  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 1Cv-  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) n:yTeZ=-s4  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) e[&L9U6GW-  
Dim bb(5) As Single 7?GIS '  
  bb(1) = rr1 D ,o}el
 
  bb(2) = rr2 Hn5|B 3vN  
  bb(3) = rr3 Q9Kve3u-i  
  bb(4) = rr4 e\!0<d  
  nb = rr1 ZWc]$H?  
For i = 1 To 4 ;C3US)j  
    If nb <= bb(i) Then +@p% p  
       nb = bb(i) NbgK@eV}+{  
    End If a&c6.#E{y  
Next i @?yX!_YC  
    rt(0) = Sqr(nb) 4^WpS/#4  
    rr = rt() @mw5~+  
  End If j4jTSLQ\  
         PIu1+k.r?  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  Y<N5# );f  

mk.9OhYY  
有热压工艺方面的人才或者资料分享下； }AB,8n`  
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 f(/lLgI(  

高手真多！

楼主威武霸气.