[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： md/h
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关键点说几个： L/N%ft]!T  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ?MSV3uODb  
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 Nr*o RYY  
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 0R-W9qP  

以下是几个重要的函数： /3;]e3x  
1.判断点在区域中函数 i G%R'/*  
2.计算夹角函数 kJCeQK:W  
3.转置函数 wxF\enDY  
4.得到区域中心点，及区域半径函数 YQR[0Y&e=  
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） Ia[<;":U  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 4)p ID`  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ?kF? ~\c  
   cax = x2 - x1 2g5jGe*0  
   cay = y2 - y1 EZZE(dq@gf  
   cbx = x2 - x3 \0FwxsL  
   cby = y2 - y3 &_\;p-1:  
   mo_jj = cax * cbx + cay * cby x-b}S1@  
   mo_ca = Sqr(cax * cax + cay * cay) F;T;'!mb  
   mo_cb = Sqr(cbx * cbx + cby * cby) FgMQ=O2  
   cos_acb = mo_jj / (mo_ca * mo_cb) 1'1>B  
   'ff_cos = cos_acb 0y2zjXM;3  
   If cos_acb >= 1 Then bR?xz-g%<3  
   nn = 0 #wsi><7   
   ElseIf cos_acb <= -1 Then ` ^;J<l  
   nn = 3.14159265258979 #S[Y}-]T  
   Else Th$xk9TK^@  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) )&%Y{a#  
   End If E,Xl8rC  
   'ff_angle = nn }-Jo9dNs  
   ff_angle = nn * 180 / 3.14159265258979 &%u m#XE  
End Function

'判断点在区域内函数 2#s8Dxt  
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 |\94a  
Dim aob, boc, cod, doa, sum As Single QvJ29  
  If ppx = p1x And ppy = p1y Then &}\{qFD;  
     point_in = True +x<OyjY5?]  
     Exit Function pwV~[+SS_  
  End If ??(
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  If ppx = p2x And ppy = p2y Then Q% ^_<u  
     point_in = True FU;a {irB  
     Exit Function 'lOQb)  
  End If nQ{~D5y,,  
   If ppx = p3x And ppy = p3y Then bH!_0+$P  
     point_in = True mE&SAm5#d  
     Exit Function J|VDZ# c7  
  End If >:BgatyP
H  
     tTh4L8fO  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) AtxC(gm 1  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) F)@zo/u5L  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) Rm~8n;7oOr  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) W
C b5  
    sum = aob + boc + cod + doa b;NVvc(  
    If 360.01 > sum And sum > 359.99 Then X1BqN+=@9  
       point_in = True !_W']Crb]]  
    Else QSwT1P'U  
       point_in = False O'QnfpQ*9  
    End If :)FNhx3  
End Function

'得到点半径,得到交点坐标函数 fJe5 i6`(  
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() C:f^&4 3  
    '求得中心点坐标 2X(2O':Uc  
Dim tt As String B[2t.d;h  
Dim rt(3) As Single R[TaP7n  
    '判断是否平行 Ak$9\Sl  
   acx = p3x - p1x }iLi5Qkx  
   acy = p3y - p1y gADqIPu]  
   bdx = p4x - p2x MJa`4[/  
   bdy = p4y - p2y o,xy'  
   If acx * bdy = acy * bdx Then _ozg=n2(  
      rt(0) = 0 x@:98P  
      Exit Function tCGA3t  
   Else }r"E\~E  
      '判断斜率存在否 NGEE'4!i7T  
      If p1x = p3x And p2x <> p4x Then > kwhZ/x  
         tt = "ac_n_bd_y" )QmmI[,tq  
      ElseIf p1x <> p3x And p2x = p4x Then (&, E}{p9  
         tt = "ac_y_bd_n" OC\cN%qlw  
      ElseIf p1x <> p3x And p2x <> p4x Then u;b6uE  
         tt = "ac_y_bd_y" KvI/!hl\  
      End If ?DnQU"_$  
    Select Case tt F)19cKx7  
         Case "ac_n_bd_y" Iv{iJoe;UH  
            'bd线段方程 `wSoa#U"@  
            k_bd = bdy / bdx #W8c)gkG9  
            b_bd = p2y - k_bd * p2x $jBi~QqOf  
            p_x = p1x |C,]-mJG  
            p_y = k_bd * p_x + b_bd %:dd#';g  
         Case "ac_y_bd_n" .mOm@<Xdg  
            'ac线段方程 f<R 3ND)  
            k_ac = acy / acx _
 -,[U{  
            b_ac = p1y - k_ac * p1x v
i[~Qt  
            p_x = p2x j-qg{oIJ  
            p_y = k_ac * p_x + b_ac `}8)P#  
        Case "ac_y_bd_y" ol`q7i.  
           'ac，bd线段都要求 .I>CL4_  
           k_ac = acy / acx `[ZA#8Ma  
           b_ac = p1y - k_ac * p1x z_8Bl2tl  
           k_bd = bdy / bdx Lf{pTxKr  
           b_bd = p2y - k_bd * p2x b'xBPTN  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 'z+Pa^)v  
           p_y = k_ac * p_x + b_ac LOgB_$9_3  
        End Select U<'$ \P  
      rt(1) = p_x F'_z$,X6  
      rt(2) = p_y DnN+W  
     ol_&epG;ST  
'计算最大半径 K5(T7S  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) -7EwZRS@9  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 472'P  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) P)ne^_   
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) C3 m_sv#e  
Dim bb(5) As Single JBISA _Y  
  bb(1) = rr1 9(bbV5}  
  bb(2) = rr2 G)""^YB-  
  bb(3) = rr3 9AD0|,g  
  bb(4) = rr4 h5^W
e"}+  
  nb = rr1 {4%ddJn[.)  
For i = 1 To 4 "{jVsih0  
    If nb <= bb(i) Then Af^9WJ  
       nb = bb(i) D9n+eZ  
    End If B\`${O(  
Next i uR!'v  
    rt(0) = Sqr(nb) ZV07;`I  
    rr = rt() Zh?n;n}  
  End If YT@H^=  
         C{6m?6  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  &F +hh{  

%#7^b=;=  
有热压工艺方面的人才或者资料分享下； f<@`{oP@  
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 et6@);F  

高手真多！

楼主威武霸气.