[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： V7cr%tY5  
~=|QPO(d  
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关键点说几个： %joL}f[  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域）  L|6I  
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 `PSjkF(  
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 J;4aghzY  

以下是几个重要的函数： HxcL3Bh$~}  
1.判断点在区域中函数 ./L)BLC i  
2.计算夹角函数 +'nMy"j1  
3.转置函数 TPak,h(1  
4.得到区域中心点，及区域半径函数 q alrG2  
5.再有就是若干个点抽取其中一部分；或者采用随机分布（该方法会有重合点，所以没采用） <Y2$'ETD  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 =%7s0l3z  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single O?c
U6u;W  
   cax = x2 - x1 QodWUbi'&  
   cay = y2 - y1 Z!7
xRy  
   cbx = x2 - x3 -'SA&[7dP  
   cby = y2 - y3 Ks@cwY  
   mo_jj = cax * cbx + cay * cby QR_h#N2h  
   mo_ca = Sqr(cax * cax + cay * cay) ~_c1h@  
   mo_cb = Sqr(cbx * cbx + cby * cby) ;{q*  
   cos_acb = mo_jj / (mo_ca * mo_cb)  ?r@^9  
   'ff_cos = cos_acb 
=I
@I  
   If cos_acb >= 1 Then MU(I#Prpe  
   nn = 0 RZ;s_16GQ  
   ElseIf cos_acb <= -1 Then v"Ax'()  
   nn = 3.14159265258979 RS l*u[fB  
   Else 7nFOVZ  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) }a.j~>rq  
   End If .Y"F3 R  
   'ff_angle = nn P^48]Kj7  
   ff_angle = nn * 180 / 3.14159265258979 S#$Kmm |  
End Function

'判断点在区域内函数 ~x#TfeU]  
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 a6^_iSk  
Dim aob, boc, cod, doa, sum As Single XWyP'\  
  If ppx = p1x And ppy = p1y Then ?%
}!_F`h%  
     point_in = True oPM*VTMA  
     Exit Function IA({RE  
  End If lM{fld  
  If ppx = p2x And ppy = p2y Then l-l7jq]R  
     point_in = True 8.Y|I5l7G  
     Exit Function |E.BGdS  
  End If OTdijQLY  
   If ppx = p3x And ppy = p3y Then %0N HU`j  
     point_in = True V?1 $H  
     Exit Function kuV7nsXiQ  
  End If jWv'`c  
     5UO+c(T  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 9S*"={}%  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) =@?[.`  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) fzQR
0  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Zrr)<'!i  
    sum = aob + boc + cod + doa `+"(GaZ  
    If 360.01 > sum And sum > 359.99 Then X["xC3 i  
       point_in = True #c>GjUJ.w  
    Else $?G@ijk,  
       point_in = False ng"=
vmu  
    End If hN &?x5aC>  
End Function

'得到点半径,得到交点坐标函数 49$<:{~  
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() E,}{iqAb  
    '求得中心点坐标 hx$61E=  
Dim tt As String -}|L<~  
Dim rt(3) As Single ehr-o7](  
    '判断是否平行 1 _?8OU  
   acx = p3x - p1x ,=P&{38\q  
   acy = p3y - p1y T8x)i\<  
   bdx = p4x - p2x pg4W?N`  
   bdy = p4y - p2y Pwl*5/l  
   If acx * bdy = acy * bdx Then ~Ld5WEp k3  
      rt(0) = 0 Q=`yPK>{$N  
      Exit Function H@=oVyn/  
   Else ctZ,qg*N  
      '判断斜率存在否 /I=|;FGq  
      If p1x = p3x And p2x <> p4x Then Zj2 si  
         tt = "ac_n_bd_y" *9^8NY]  
      ElseIf p1x <> p3x And p2x = p4x Then si]VM_w6  
         tt = "ac_y_bd_n" z'EQdQ)  
      ElseIf p1x <> p3x And p2x <> p4x Then P1Hab2%+  
         tt = "ac_y_bd_y" Q&eyqk   
      End If g<W]NYm  
    Select Case tt ,Vhve'=*2  
         Case "ac_n_bd_y" $3^M-w  
            'bd线段方程 <+oh\y16  
            k_bd = bdy / bdx L0fe  
            b_bd = p2y - k_bd * p2x ^v'kEsE^*  
            p_x = p1x b&:v6#i  
            p_y = k_bd * p_x + b_bd [a2]_]E%  
         Case "ac_y_bd_n" pCs3-&rI3  
            'ac线段方程 S4x9k{Xn  
            k_ac = acy / acx yYA*5 7^A  
            b_ac = p1y - k_ac * p1x .| 4P :r  
            p_x = p2x ws'e
  
            p_y = k_ac * p_x + b_ac /iU<\+ H  
        Case "ac_y_bd_y" MA`nFkVK  
           'ac，bd线段都要求 .\R9tt}  
           k_ac = acy / acx !p&<.H_  
           b_ac = p1y - k_ac * p1x J\L'HIs  
           k_bd = bdy / bdx MJXnAIG?2  
           b_bd = p2y - k_bd * p2x >K
u4Il+36  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) !kovrvM6F  
           p_y = k_ac * p_x + b_ac >G6kF!V  
        End Select wk|+[Rl;L  
      rt(1) = p_x o08WC'bX  
      rt(2) = p_y 4X+xh|R:U  
     v-}f P  
'计算最大半径 23gN;eD+m6  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 3K &637  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) E>bkEm  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) gk%nF  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) |>;PV4])(  
Dim bb(5) As Single {r_HcI(h  
  bb(1) = rr1 qU
J"* )S  
  bb(2) = rr2 NUV">i.(  
  bb(3) = rr3 _J1\c~ke"  
  bb(4) = rr4 wpK1nA+7N  
  nb = rr1 jJ#D`iog5  
For i = 1 To 4 DBAyc#&#  
    If nb <= bb(i) Then fsL9d}  
       nb = bb(i) t1w5U+z  
    End If Kb%Y
%j  
Next i x%viCkq  
    rt(0) = Sqr(nb) ${Un#]
g  
    rr = rt() @_ %RQO_X  
  End If TKB8%/_p  
         D$}hoM1  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  ] 2 `%i5  

#zsaQg, B  
有热压工艺方面的人才或者资料分享下； FAM{p=t]HT  
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 .)/."V  

高手真多！

楼主威武霸气.