[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： PuX
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描述:请输入描述

图片:2.jpg

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关键点说几个： >UHa  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ,EEPh>cXc  
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 o a<q/  
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 M>l^%`  

以下是几个重要的函数： $.K?N@(W  
1.判断点在区域中函数 GsV4ZZ  
2.计算夹角函数 c3xl9S,5  
3.转置函数 Hs0pW5oZ  
4.得到区域中心点，及区域半径函数 BC/_:n8O  
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） 1n%8j*bJq  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 &M"ouy Zo9  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single -{g
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   cax = x2 - x1 F 3RB  
   cay = y2 - y1 cT'w=  
   cbx = x2 - x3 P-Su5F  
   cby = y2 - y3 E{Vo'!LY  
   mo_jj = cax * cbx + cay * cby SUdm 0y  
   mo_ca = Sqr(cax * cax + cay * cay) faJM^u  
   mo_cb = Sqr(cbx * cbx + cby * cby) RtV.d\  
   cos_acb = mo_jj / (mo_ca * mo_cb) %:u[MBe,  
   'ff_cos = cos_acb m(47s  
   If cos_acb >= 1 Then "mIgs9l$  
   nn = 0 R>)MiHcCg  
   ElseIf cos_acb <= -1 Then hWEnn=BW  
   nn = 3.14159265258979 h)x_zZ%>o  
   Else 4%ZM:/  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Q/^A #l[  
   End If G=d(*+& B  
   'ff_angle = nn oXYMoi  
   ff_angle = nn * 180 / 3.14159265258979 | {P|.  
End Function

'判断点在区域内函数 q&si%  
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 JdNF-64ky  
Dim aob, boc, cod, doa, sum As Single ~!:0iFE&H  
  If ppx = p1x And ppy = p1y Then `rFAZcEj%  
     point_in = True hU {-a`  
     Exit Function 8 %Sb+w07  
  End If >)4YP*qIPb  
  If ppx = p2x And ppy = p2y Then +1`t}hO  
     point_in = True vv5i? F  
     Exit Function Jh@_9/?  
  End If t9 F=^)s  
   If ppx = p3x And ppy = p3y Then 'ZHdV,dd  
     point_in = True ST',4Oph5  
     Exit Function ]|Zb\{  
  End If "^rNr_  
     H5xzD9K;/C  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 3#GqmhqKDk  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) sa#.l% #  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) *e4TSqC|  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) NoDZ5Z  
    sum = aob + boc + cod + doa aW;aA'!  
    If 360.01 > sum And sum > 359.99 Then E_:QSy5G  
       point_in = True f`P9ku#j}  
    Else \V%_hl  
       point_in = False 8tc*.H{^+  
    End If (xT*LF+  
End Function

'得到点半径,得到交点坐标函数 RQ' H!(K  
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() .9M
.|  
    '求得中心点坐标 IgX4.]W5  
Dim tt As String '"xiS$b(  
Dim rt(3) As Single =3'(A14C=  
    '判断是否平行 v'ay.oVzw  
   acx = p3x - p1x |nxdB&1n
 
   acy = p3y - p1y ok0X<MR!I  
   bdx = p4x - p2x S@}4-\  
   bdy = p4y - p2y j\2[H^   
   If acx * bdy = acy * bdx Then 32>x^>G=>  
      rt(0) = 0 |E^|X!+9  
      Exit Function IN!02`H  
   Else vDE |sT  
      '判断斜率存在否 Ps>&"k$T  
      If p1x = p3x And p2x <> p4x Then Z^_>A)<s<  
         tt = "ac_n_bd_y" t4K56H.L?  
      ElseIf p1x <> p3x And p2x = p4x Then u-><}OVf~  
         tt = "ac_y_bd_n" Ci\? ^  
      ElseIf p1x <> p3x And p2x <> p4x Then k0ItG?C
v  
         tt = "ac_y_bd_y" bZ5n,KQA5  
      End If dgc&[  
    Select Case tt `XMM1y>V9>  
         Case "ac_n_bd_y" v\0^mp  
            'bd线段方程 @ss):FwA  
            k_bd = bdy / bdx pXW`+<g0  
            b_bd = p2y - k_bd * p2x ,2zKQ2z  
            p_x = p1x jnBC;I[:  
            p_y = k_bd * p_x + b_bd rc{o?U'^-  
         Case "ac_y_bd_n" +/N1_  
            'ac线段方程
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            k_ac = acy / acx 80&D""  
            b_ac = p1y - k_ac * p1x ,wK 1=7  
            p_x = p2x J/kH%_ >Ir  
            p_y = k_ac * p_x + b_ac o#{#r@,i  
        Case "ac_y_bd_y" I'InZ0J2  
           'ac，bd线段都要求 14l; *  
           k_ac = acy / acx 8
/m3+5  
           b_ac = p1y - k_ac * p1x HdCk!Fv  
           k_bd = bdy / bdx &?T${*~  
           b_bd = p2y - k_bd * p2x UrK"u{G  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) GOr}/y;  
           p_y = k_ac * p_x + b_ac K&S@F!#g  
        End Select rPTfpeqN)  
      rt(1) = p_x l l:jsm  
      rt(2) = p_y t9D S]Li  
     F#1kZ@nq  
'计算最大半径 RKe?
.  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) :ICr\FY$  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) >hb-5xC  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) @
;J|xkJ  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) wE2x:Ge:  
Dim bb(5) As Single -$R5  
  bb(1) = rr1 CWMlZVG  
  bb(2) = rr2 viV-e$s`.  
  bb(3) = rr3 rWe 8D/oc  
  bb(4) = rr4 ]h8/M7k  
  nb = rr1 .tp=T  
For i = 1 To 4 +Ag#B*   
    If nb <= bb(i) Then U_Y;fSl>  
       nb = bb(i) \e0x,2  
    End If =,E'~P  
Next i H%T3Pc  
    rt(0) = Sqr(nb) V8v,jS$l4  
    rr = rt() :BDviUC7Z  
  End If va+m9R0  
         8;.` {'r  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  rZb_1E<  

U3(L.8(sA  
有热压工艺方面的人才或者资料分享下； deHY8x5uI  
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 o&*1U"6D  

高手真多！

楼主威武霸气.