[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： U?u0|Y+  
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关键点说几个： %2=nS<kC  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） GI}h)T  
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 oI9Jp`  
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 Ws[[Me,=  

以下是几个重要的函数： WY%LeC!t  
1.判断点在区域中函数
9 |Iq&S  
2.计算夹角函数 2RDos#  
3.转置函数 Qci<cVgP  
4.得到区域中心点，及区域半径函数 Z3=DM=V;v  
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） ,[IN9W  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 z;UkK  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single RRy3N )HR  
   cax = x2 - x1 DJlY~}v#_  
   cay = y2 - y1 @W|}|V5  
   cbx = x2 - x3 .L%_#A  
   cby = y2 - y3 :g/HN9  
   mo_jj = cax * cbx + cay * cby 9PEjV$0E2  
   mo_ca = Sqr(cax * cax + cay * cay) fRJSo%  
   mo_cb = Sqr(cbx * cbx + cby * cby) }' `2C$  
   cos_acb = mo_jj / (mo_ca * mo_cb) [Dp6q~RM  
   'ff_cos = cos_acb 6Gjr8  
   If cos_acb >= 1 Then + oyW_!(  
   nn = 0 NL))!Pi  
   ElseIf cos_acb <= -1 Then LRD71*/  
   nn = 3.14159265258979 V0R
;q  
   Else >4=sEj  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Nzz" w_#  
   End If 67 >*AL  
   'ff_angle = nn )RlaVAtM  
   ff_angle = nn * 180 / 3.14159265258979 Gk2\B]
{  
End Function

'判断点在区域内函数 iNf+ -C3  
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 hRSRz5 J}  
Dim aob, boc, cod, doa, sum As Single j&)+qTV  
  If ppx = p1x And ppy = p1y Then "y/GK1C  
     point_in = True MTBN&4[  
     Exit Function UO8#8  
  End If NMmk,  
  If ppx = p2x And ppy = p2y Then dkJ+*L5  
     point_in = True -uN5DJSW  
     Exit Function MsCY5g  
  End If ^_KHw
 
   If ppx = p3x And ppy = p3y Then LJYFz=p"  
     point_in = True |"DQ^)3Pi  
     Exit Function VWd=7  
  End If @v_ )(  
     Ra[{K@  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) JC}y{R8  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) fZH:&EP  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) gO4`e(W  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) (F~
i  
    sum = aob + boc + cod + doa 5YMjvhr?W  
    If 360.01 > sum And sum > 359.99 Then D#508{)  
       point_in = True YmFJlMK  
    Else 4&~1|B{Z  
       point_in = False zS18Kl  
    End If XJDp%B  
End Function

'得到点半径,得到交点坐标函数 #g\O*oYaw  
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() N^xnx<  
    '求得中心点坐标 w0x,~  
Dim tt As String E(*RtOC<W  
Dim rt(3) As Single y[oc^Zuo
 
    '判断是否平行 /=A^@&:_#  
   acx = p3x - p1x F#eZ
fj~  
   acy = p3y - p1y O8"kIDr-  
   bdx = p4x - p2x L0Bcx|)"$`  
   bdy = p4y - p2y :% )va  
   If acx * bdy = acy * bdx Then -("sp  
      rt(0) = 0 \I1+J9Gl  
      Exit Function r ,D T>  
   Else p)RASIB  
      '判断斜率存在否 LJ`*&J  
      If p1x = p3x And p2x <> p4x Then Y` Oz\W  
         tt = "ac_n_bd_y" w`&~m:R  
      ElseIf p1x <> p3x And p2x = p4x Then 8-3]Bm!  
         tt = "ac_y_bd_n" xCz(qR  
      ElseIf p1x <> p3x And p2x <> p4x Then }&Ngh4/  
         tt = "ac_y_bd_y" <XiHQ B!  
      End If lt`(R*B%  
    Select Case tt gUwg\>UC  
         Case "ac_n_bd_y" wP8Wx~Q=  
            'bd线段方程 !E8y!|7$  
            k_bd = bdy / bdx w2_$>z  
            b_bd = p2y - k_bd * p2x cm@q{(r  
            p_x = p1x <R582$( I  
            p_y = k_bd * p_x + b_bd 2'Cwx-_G`  
         Case "ac_y_bd_n" <0g.<n,  
            'ac线段方程 ozwPtF5  
            k_ac = acy / acx A^nB!veh  
            b_ac = p1y - k_ac * p1x 3Cmbt_WV  
            p_x = p2x / CEnyE/  
            p_y = k_ac * p_x + b_ac
YAQ]2<H  
        Case "ac_y_bd_y" |N/Grk4
 
           'ac，bd线段都要求 {fFZ%$  
           k_ac = acy / acx ]Qm$S5tU  
           b_ac = p1y - k_ac * p1x )0UVT[7  
           k_bd = bdy / bdx uMKO^D  
           b_bd = p2y - k_bd * p2x b6Pi:!4  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 5&Al  
           p_y = k_ac * p_x + b_ac k#X~+}N^  
        End Select /I}#0}  
      rt(1) = p_x z)p( l!  
      rt(2) = p_y b5lZ||W.  
     ,r^zDlS<q  
'计算最大半径 A?V}$PTlx  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) ZFwUau  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) Z>

Jm  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) l*~O;do  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 4Bg
"b/kF  
Dim bb(5) As Single F3+ ;2GG2  
  bb(1) = rr1 m_YXTwwx  
  bb(2) = rr2 #0>??]&r  
  bb(3) = rr3 Y1fcp_]m  
  bb(4) = rr4
U|SF;T .  
  nb = rr1 C'$w*^me  
For i = 1 To 4 hS&3D6Gt  
    If nb <= bb(i) Then 4FrP%|%E~  
       nb = bb(i) Nc;cb  
    End If BV)oF2b:  
Next i 0x BO5[w,Y  
    rt(0) = Sqr(nb) %PA#x36
 
    rr = rt() !2L?8oP-z  
  End If X.}i9a 6  
         ^f6pw!  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  "5HSCl$r%  

"wy2u~  
有热压工艺方面的人才或者资料分享下； fc&djd`FuX  
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 baoyU
#X9  

高手真多！

楼主威武霸气.