[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： ~$cw]R58,9  
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关键点说几个： J:>TV.TP  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） ^a(q7ZfY
 
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 |h'ugx1iY  
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 BYGLYT;Z  

以下是几个重要的函数： $Fo ,$  
1.判断点在区域中函数 z`BRz&  
2.计算夹角函数 rg $71Ir  
3.转置函数 L4dbrPE*0  
4.得到区域中心点，及区域半径函数 a{HvrWs?Q  
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） aH:eu<s  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 OtC/)sX  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single xX&*&RPZ  
   cax = x2 - x1 t%/5$<!b  
   cay = y2 - y1 s*VZLKO  
   cbx = x2 - x3 `W-:@?PmQx  
   cby = y2 - y3 ld3,)ZY  
   mo_jj = cax * cbx + cay * cby FNZnz7  
   mo_ca = Sqr(cax * cax + cay * cay) 5Po.&eS  
   mo_cb = Sqr(cbx * cbx + cby * cby) Z(V4"x7F  
   cos_acb = mo_jj / (mo_ca * mo_cb) SI@I  
   'ff_cos = cos_acb \Q#F&q0  
   If cos_acb >= 1 Then 2Aff3]-:Gd  
   nn = 0 YT-t$QyL  
   ElseIf cos_acb <= -1 Then No[>1]ds  
   nn = 3.14159265258979 alq>|,\x  
   Else M#:Mwa$  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) Sd{>(YWx~  
   End If 6#.R'O  
   'ff_angle = nn #$A6s~`B  
   ff_angle = nn * 180 / 3.14159265258979 7%o\O{,U
  
End Function

'判断点在区域内函数 :FK(*BUh  
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 ??k^Rw+0R  
Dim aob, boc, cod, doa, sum As Single af>
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  If ppx = p1x And ppy = p1y Then `f b}cJUa  
     point_in = True b7=]"|c$@  
     Exit Function N<?RN;M  
  End If X3'z'
5  
  If ppx = p2x And ppy = p2y Then 398%16}  
     point_in = True c.NAUe_3  
     Exit Function $rf5\_G,96  
  End If m!v`nw]  
   If ppx = p3x And ppy = p3y Then q7X/"Dfx  
     point_in = True {y :/9  
     Exit Function ~uV.jh  
  End If A/GEDG ?  
     GXa-g-d  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) #O
G_OI  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) YMJ?t"  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) WtdWD_\%Y\  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) cl^tX%  
    sum = aob + boc + cod + doa ?e yo2:-$  
    If 360.01 > sum And sum > 359.99 Then b[H& vp  
       point_in = True )(y&U  
    Else `y m^0x8  
       point_in = False MX  qH  
    End If *"4 OXyV  
End Function

'得到点半径,得到交点坐标函数 N!aV~\E  
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() GIt;Y  
    '求得中心点坐标 Cd]d[{NJ;  
Dim tt As String $d4eGL2S  
Dim rt(3) As Single ~%(r47n  
    '判断是否平行 (lT H EiX  
   acx = p3x - p1x *p p1U>,  
   acy = p3y - p1y |$^,e%bE  
   bdx = p4x - p2x r(0I>|u  
   bdy = p4y - p2y }G_ i+  
   If acx * bdy = acy * bdx Then $
]!uX&  
      rt(0) = 0 wE;??'O'l  
      Exit Function [Kx_%Le  
   Else 8kX3.X`  
      '判断斜率存在否 d8/lEmv[  
      If p1x = p3x And p2x <> p4x Then !uy?]l  
         tt = "ac_n_bd_y" H>a3\M  
      ElseIf p1x <> p3x And p2x = p4x Then +u:8#!X$RD  
         tt = "ac_y_bd_n" >J|I  
      ElseIf p1x <> p3x And p2x <> p4x Then uXyNj2(d.  
         tt = "ac_y_bd_y" x]J{EA{+  
      End If kfM}j
  
    Select Case tt :/K 'P`JaL  
         Case "ac_n_bd_y" fw'$HV76  
            'bd线段方程 q$0^U{j/  
            k_bd = bdy / bdx i=]IUjx<  
            b_bd = p2y - k_bd * p2x wnN@aO6g*  
            p_x = p1x <j-Bj$3  
            p_y = k_bd * p_x + b_bd ')}$v+9h  
         Case "ac_y_bd_n" {.DI[@.g  
            'ac线段方程 7f~DD8R  
            k_ac = acy / acx _T<ney}Y<  
            b_ac = p1y - k_ac * p1x +TfMj1Zx  
            p_x = p2x z@{|Y;s  
            p_y = k_ac * p_x + b_ac Y6W3WPs(  
        Case "ac_y_bd_y" u,*$n'l]  
           'ac，bd线段都要求 Gq$9he<  
           k_ac = acy / acx lD _  u  
           b_ac = p1y - k_ac * p1x 6^s]2mMfk  
           k_bd = bdy / bdx (S=::ODU  
           b_bd = p2y - k_bd * p2x D
bH{; Fb  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) f@Hp,-  
           p_y = k_ac * p_x + b_ac 6WzE'0Nyr  
        End Select >rB7ms/@E  
      rt(1) = p_x EAqTXB@XU  
      rt(2) = p_y PQlG!  
     A|c
:&i  
'计算最大半径 tt6ElP|D  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) pzCD' !*  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) gPd:>$  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 4qrPAt  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) nZ$,Bjb
 
Dim bb(5) As Single tQF7{F-}  
  bb(1) = rr1 Z:&"Ax  
  bb(2) = rr2 /1gKc}rB2  
  bb(3) = rr3 q;}^Jpb;  
  bb(4) = rr4 ,.x5
 
  nb = rr1 ^{zwIH2I]  
For i = 1 To 4 =u
YSZR  
    If nb <= bb(i) Then ghx8dX}  
       nb = bb(i) s@'};E^]@r  
    End If #Z"N\49  
Next i LrsP4G  
    rt(0) = Sqr(nb) Z>Rd6o'  
    rr = rt() ^>72<1U%  
  End If [64K?l0&  
         wGBQ.Ve[  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  N9
5"dNZE  

j<8_SD=,  
有热压工艺方面的人才或者资料分享下； #U"\v7C{n  
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 ^}U{O A  

高手真多！

楼主威武霸气.