[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： +xB!T1pD  
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图片:2.jpg

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关键点说几个： J?u",a]|H"  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ,Rz,[KI|  
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 _qM'm^z5  
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 ,.G6c=pZ  

以下是几个重要的函数： AZxOq !B  
1.判断点在区域中函数 0

X~Dxs  
2.计算夹角函数 rN8 ZQiJC  
3.转置函数 !G Z2|~f9  
4.得到区域中心点，及区域半径函数 p~DlZk"  
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） X Oc0j9Oa  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 o#4Wn'E  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single &7XB$  
   cax = x2 - x1 u,*$n'l]  
   cay = y2 - y1 Gq$9he<  
   cbx = x2 - x3 lD _  u  
   cby = y2 - y3 `9kjYSd#E  
   mo_jj = cax * cbx + cay * cby &B/cy<;y,  
   mo_ca = Sqr(cax * cax + cay * cay) D
bH{; Fb  
   mo_cb = Sqr(cbx * cbx + cby * cby) f@Hp,-  
   cos_acb = mo_jj / (mo_ca * mo_cb) W9ZT=#>)[  
   'ff_cos = cos_acb j+88J  
   If cos_acb >= 1 Then (3&@c!E  
   nn = 0 '[{M"S  
   ElseIf cos_acb <= -1 Then 6oL-Atf  
   nn = 3.14159265258979 o>\jc  
   Else vWXj6}  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) fI t:eKHr  
   End If \b1I<4(  
   'ff_angle = nn u%JM0180  
   ff_angle = nn * 180 / 3.14159265258979 kZWc(LwA  
End Function

'判断点在区域内函数 4&R\6!*s  
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 J3}^\k=p"  
Dim aob, boc, cod, doa, sum As Single  /e!/  
  If ppx = p1x And ppy = p1y Then m32OE`s  
     point_in = True C;OU2,c,T  
     Exit Function '.#KkvE##  
  End If pr>K#@^  
  If ppx = p2x And ppy = p2y Then yaa+j8s]  
     point_in = True +7|Oy3s  
     Exit Function  bXQ(6P  
  End If lmz{,O  
   If ppx = p3x And ppy = p3y Then q}M^i7IE  
     point_in = True ST'L \yebc  
     Exit Function QtW5;A-h  
  End If TXH: +mc  
     st:[|`  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) ePrbG4xv  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) ahhVl=9/ao  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) i5(_.1X<#{  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) H]mY6D51"  
    sum = aob + boc + cod + doa |*Z'WUv  
    If 360.01 > sum And sum > 359.99 Then X:j&+d2g0/  
       point_in = True RIC'JLWQ  
    Else nx $?wxIm  
       point_in = False LZX-am`%  
    End If 1;?b-FEq:  
End Function

'得到点半径,得到交点坐标函数 [ }jSx]  
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() Nr|.]=K)5n  
    '求得中心点坐标 shYcfLJ  
Dim tt As String ?N,a {#w  
Dim rt(3) As Single RVXRF_I  
    '判断是否平行 6
!+xf  
   acx = p3x - p1x rfXM*h  
   acy = p3y - p1y !r.X.C  
   bdx = p4x - p2x TJ?}5h5  
   bdy = p4y - p2y ucJR #14  
   If acx * bdy = acy * bdx Then n`vqCO7@'  
      rt(0) = 0 DS=kSkW^&5  
      Exit Function wI#rAx7f-  
   Else 4AZl
r*U  
      '判断斜率存在否 !}l)okQH<#  
      If p1x = p3x And p2x <> p4x Then L((z;y>q|  
         tt = "ac_n_bd_y" QbV)+7II=  
      ElseIf p1x <> p3x And p2x = p4x Then v$+G_@  
         tt = "ac_y_bd_n"   
      ElseIf p1x <> p3x And p2x <> p4x Then vTh-I&}:  
         tt = "ac_y_bd_y" sOzjViv  
      End If '+f!(teLz  
    Select Case tt {|%5}\%  
         Case "ac_n_bd_y" >^+Q`"SN  
            'bd线段方程 uvc0"g1h  
            k_bd = bdy / bdx AY[7yPP  
            b_bd = p2y - k_bd * p2x lY?TF  
            p_x = p1x ;yBq'_e3  
            p_y = k_bd * p_x + b_bd *q|.H9 K(  
         Case "ac_y_bd_n" 8ENAif  
            'ac线段方程 TcauCL  
            k_ac = acy / acx I"Ju3o?u  
            b_ac = p1y - k_ac * p1x $daI++v`  
            p_x = p2x vkc(-n  
            p_y = k_ac * p_x + b_ac l"CHI*  
        Case "ac_y_bd_y" z*zLK[t+  
           'ac，bd线段都要求 }b)?o@9}:  
           k_ac = acy / acx S8.nM}x  
           b_ac = p1y - k_ac * p1x ,(OA5%A9zK  
           k_bd = bdy / bdx YRW<n9=3  
           b_bd = p2y - k_bd * p2x @#*B|lHE  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) B?#@<2*=L
 
           p_y = k_ac * p_x + b_ac S4~^HvMG[Y  
        End Select |I)MsNF  
      rt(1) = p_x 14s+&  
      rt(2) = p_y (0Hhn2JA  
     F]M3/M  
'计算最大半径 SY>N-fW\H:  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) T/-PSfbkj  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) .zBSjh_=H  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 1?E\2t&K  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 7QQ3IepP  
Dim bb(5) As Single Nf<([8v;t  
  bb(1) = rr1 @B7;
  
  bb(2) = rr2 I/XVo2
Ee  
  bb(3) = rr3 gAv?\9=a)W  
  bb(4) = rr4 ~uzu*7U  
  nb = rr1 @^k$`W;  
For i = 1 To 4 "%,zB_ng\<  
    If nb <= bb(i) Then @zsr.d6Q  
       nb = bb(i) _.?$~;7  
    End If YH
vmo@  
Next i 6l:CDPhR  
    rt(0) = Sqr(nb) KhXW
5hS1  
    rr = rt() #<yR:3  
  End If eHPGzNXb  
         w`F}3zm  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  rpDH>Hzq  

Tx
PP{6t  
有热压工艺方面的人才或者资料分享下； )oHIRsr  
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 6j_ A{*~Ng  

高手真多！

楼主威武霸气.