[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： j !`B'{cH  
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关键点说几个： pe.Ml7o"  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） eIH$"f;L  
2.需要定义光轴的方向；简便的方法就是指定光源坐标，及网点区域坐标，这样光轴就确定了 Fk{J@Y  
3.网点区域密度可调；把区域分成若干小块，每块的密度不同即可 sf$o(^P9\A  

以下是几个重要的函数： #Y2i*:<  
1.判断点在区域中函数
f"dSr  
2.计算夹角函数 LBat:7aH>  
3.转置函数 s9@Sd  
4.得到区域中心点，及区域半径函数 l(!/Q|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） vQ1 v#Z  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 9AQxNbs  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single [%pRfjM  
   cax = x2 - x1 ,6{iT,~@8  
   cay = y2 - y1 <CZgQ\Mt  
   cbx = x2 - x3 sILSey5`  
   cby = y2 - y3 __Nv0Ru  
   mo_jj = cax * cbx + cay * cby ;wHCj$q  
   mo_ca = Sqr(cax * cax + cay * cay) O"Q7R
x  
   mo_cb = Sqr(cbx * cbx + cby * cby) `\CVV*hP  
   cos_acb = mo_jj / (mo_ca * mo_cb) ^x m$EY*Y,  
   'ff_cos = cos_acb _las;S'oa  
   If cos_acb >= 1 Then 4<gb36)|4  
   nn = 0 ]rN#B-aAr  
   ElseIf cos_acb <= -1 Then =a}b+(R  
   nn = 3.14159265258979 Kr-G{b_Pp  
   Else ;+/o?:AH  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) />44]A<  
   End If Uz dc  
   'ff_angle = nn :J/M,3  
   ff_angle = nn * 180 / 3.14159265258979 \r{W  
End Function

'判断点在区域内函数 )"+2Z^1-  
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 T~:|!`  
Dim aob, boc, cod, doa, sum As Single _iV]_\0W2  
  If ppx = p1x And ppy = p1y Then
c>
"c
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     point_in = True ?OlV"zK  
     Exit Function x[3A+  
  End If [U/(<?F{(  
  If ppx = p2x And ppy = p2y Then m P'^%TE  
     point_in = True o*rQP!8,oy  
     Exit Function L+}n@B  
  End If Pr ]K
a  
   If ppx = p3x And ppy = p3y Then Bi,;lR5  
     point_in = True ({WyDu&=  
     Exit Function 4m)OR  
  End If hvka{LD  
     Q[F}r`  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) U.!lTLjfLz  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) ~@.%m"<.  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ??60,
m:]  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) y:m_tv0~0  
    sum = aob + boc + cod + doa svf|\p>]H  
    If 360.01 > sum And sum > 359.99 Then 6GPp>X  
       point_in = True R:Q0=PzDi#  
    Else F# T 07<  
       point_in = False /,=@8k!t?  
    End If rE9I>|tX  
End Function

'得到点半径,得到交点坐标函数 J:&[59  
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() Um#Wu]i  
    '求得中心点坐标 ^uv<6  
Dim tt As String _=CZR7:O  
Dim rt(3) As Single FFdBtB  
    '判断是否平行 ~.;<  Bj  
   acx = p3x - p1x ]BR,M4   
   acy = p3y - p1y M@0;B30L  
   bdx = p4x - p2x ok|qyN+  
   bdy = p4y - p2y Za
NQpH.  
   If acx * bdy = acy * bdx Then T^J>ZDA  
      rt(0) = 0 z~`b\A,$  
      Exit Function Uf}\p~;  
   Else _uc hU=  
      '判断斜率存在否 !uQPc  
      If p1x = p3x And p2x <> p4x Then .9Y)AtJTS  
         tt = "ac_n_bd_y" B,,D7cQC  
      ElseIf p1x <> p3x And p2x = p4x Then
&gzCteS  
         tt = "ac_y_bd_n" o,|[GhtHqs  
      ElseIf p1x <> p3x And p2x <> p4x Then lz1wO5%h  
         tt = "ac_y_bd_y" ~ vqa7~}m  
      End If OS8q( 2z?s  
    Select Case tt r@ZJ{4\Q  
         Case "ac_n_bd_y" W`c'=c  
            'bd线段方程 /0Ax*919j  
            k_bd = bdy / bdx {nLjY|*  
            b_bd = p2y - k_bd * p2x BcI|:qv|  
            p_x = p1x +TXX$)3%  
            p_y = k_bd * p_x + b_bd !
.d@L6  
         Case "ac_y_bd_n" (<^yqH?  
            'ac线段方程 / X1 x  
            k_ac = acy / acx B(M6@1m_  
            b_ac = p1y - k_ac * p1x y*X_T,K8  
            p_x = p2x 6?w0  
            p_y = k_ac * p_x + b_ac Yk=PS[f  
        Case "ac_y_bd_y" M![J2=  
           'ac，bd线段都要求 JH7<  
           k_ac = acy / acx z[Xd%mhjO  
           b_ac = p1y - k_ac * p1x '3uVkp 6tF  
           k_bd = bdy / bdx t.;LnrY  
           b_bd = p2y - k_bd * p2x T?X_c"{8M  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) s_mS^`P7  
           p_y = k_ac * p_x + b_ac EAM5{Nc  
        End Select qT+%;(  
      rt(1) = p_x vh$%9ed  
      rt(2) = p_y p|!  
     -,U3fts  
'计算最大半径 >3Eo@J,?d  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) R6(oZph  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ?nL.w  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) A,a.8!*}vd  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) :8OZ#D_Hl  
Dim bb(5) As Single ;n 7/O5M|  
  bb(1) = rr1 :5{wf Am  
  bb(2) = rr2 %\:[ o  
  bb(3) = rr3 ,k;^G>< =  
  bb(4) = rr4 ;5)P6S.D  
  nb = rr1 cI4K+  
For i = 1 To 4 qw^uPs7Uw  
    If nb <= bb(i) Then [C'JH//q*t  
       nb = bb(i) _WRFsDZ'  
    End If ,LnII  
Next i JT!9\i  
    rt(0) = Sqr(nb) X<I+&Zi  
    rr = rt() ojanBg   
  End If jWrj?DV,2N  
         hbY5l}\5  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  VVac:  

v%+:/m1  
有热压工艺方面的人才或者资料分享下； (^TF%(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 9K{%vK  

高手真多！

楼主威武霸气.