[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： ]MkZ1~f7  
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关键点说几个： b 2n.v.$G  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） zCD?5*7  
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 {&G7 Xa  
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 ;T2)nSAqt  

以下是几个重要的函数： }N
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1.判断点在区域中函数 chsjY]b  
2.计算夹角函数 OiX>^_iDt  
3.转置函数 RqW ZhHI1M  
4.得到区域中心点，及区域半径函数 Qi|jL*mj&  
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） )W'l^R4W  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 %y33evX/B  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single *52*I
RH  
   cax = x2 - x1 I!.o&dk  
   cay = y2 - y1 ,FX;-nP%  
   cbx = x2 - x3 1?"vKm  
   cby = y2 - y3 PygT_-3z{  
   mo_jj = cax * cbx + cay * cby oD_je~b)  
   mo_ca = Sqr(cax * cax + cay * cay) o:_}=1nh  
   mo_cb = Sqr(cbx * cbx + cby * cby) `pzp(\lc  
   cos_acb = mo_jj / (mo_ca * mo_cb) aQwcPy|1R  
   'ff_cos = cos_acb _n_lO8mK  
   If cos_acb >= 1 Then qSj2=dlW  
   nn = 0  ~%_$e/T  
   ElseIf cos_acb <= -1 Then ?:Y{c#w>  
   nn = 3.14159265258979 "K`B'/08^  
   Else q2 D2:0^2  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) ./mh9ax  
   End If K8doYN  
   'ff_angle = nn LF <fp&C)h  
   ff_angle = nn * 180 / 3.14159265258979 z71.5n!C  
End Function

'判断点在区域内函数 E"bYl3  
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 `C`CU?D  
Dim aob, boc, cod, doa, sum As Single ZO{uG(u  
  If ppx = p1x And ppy = p1y Then vL@N21u  
     point_in = True KZzOs9 s
 
     Exit Function :j9{n ,F  
  End If q17c)]<"  
  If ppx = p2x And ppy = p2y Then !!4_x  
     point_in = True VdQ}G!d  
     Exit Function AU}e^1h  
  End If r9'lFj  
   If ppx = p3x And ppy = p3y Then 
LU~U>  
     point_in = True [jve |-v=  
     Exit Function *:bNK5I.t  
  End If -}1S6dzr  
     -fuSCj  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) sXOGIv  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) q.FgX  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 2]C`S,)  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) X{\>TOk  
    sum = aob + boc + cod + doa G!T)V2y  
    If 360.01 > sum And sum > 359.99 Then 0[TZ$<v"  
       point_in = True #sdW3m_%  
    Else E{sTxOI$  
       point_in = False GM|gm-t<@  
    End If "2(lgxhj  
End Function

'得到点半径,得到交点坐标函数 l;}D| 6+_W  
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() 7)S`AQ2:)  
    '求得中心点坐标 d$8rzd  
Dim tt As String \Xc6K!HJM  
Dim rt(3) As Single 2;r(?ebw  
    '判断是否平行 ?~uTbNR  
   acx = p3x - p1x a{^[<  
   acy = p3y - p1y T5.1qrL  
   bdx = p4x - p2x _%w-y(Sqn  
   bdy = p4y - p2y HE(|x1C)j  
   If acx * bdy = acy * bdx Then Yv }G"-=  
      rt(0) = 0 ^-cj=on=Q  
      Exit Function \NKf$"x}  
   Else 5 :6^533]  
      '判断斜率存在否 R8P7JY[h  
      If p1x = p3x And p2x <> p4x Then |4aV~n[>#  
         tt = "ac_n_bd_y" Gp'rN}i^  
      ElseIf p1x <> p3x And p2x = p4x Then ;X-~C.7k  
         tt = "ac_y_bd_n" 1O*5>dkX;%  
      ElseIf p1x <> p3x And p2x <> p4x Then yjvzA|(YC  
         tt = "ac_y_bd_y" >'wl)j$  
      End If "8%B (a 5A  
    Select Case tt xu(5U`K  
         Case "ac_n_bd_y" R}c,ahd  
            'bd线段方程 \.2?951}  
            k_bd = bdy / bdx M8a^yoZn  
            b_bd = p2y - k_bd * p2x W_
9-JM(r  
            p_x = p1x \~d|MP}"F:  
            p_y = k_bd * p_x + b_bd v~e@:7d i  
         Case "ac_y_bd_n" evNo(U\C  
            'ac线段方程 A\iDK10Q$  
            k_ac = acy / acx ]#P9.c_}  
            b_ac = p1y - k_ac * p1x (xpj?zlmM  
            p_x = p2x >(S4h}^
I  
            p_y = k_ac * p_x + b_ac no`c[XY  
        Case "ac_y_bd_y" V|KYkEl r1  
           'ac，bd线段都要求 u@5vK
2  
           k_ac = acy / acx i`)bn1Xm  
           b_ac = p1y - k_ac * p1x [H)
NkR;I  
           k_bd = bdy / bdx "_]n_[t2C  
           b_bd = p2y - k_bd * p2x b|U&{I>TH  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 2Un~Iy  
           p_y = k_ac * p_x + b_ac %l%5Q;t  
        End Select S.rlF1`  
      rt(1) = p_x Da*=uW9  
      rt(2) = p_y "- S2${  
     8-5MGh0L  
'计算最大半径 exrsYo!%  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) CwZ+Pn0  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) *`OgwMr)M  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) JUXIE y^  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) n#t{3qzpD  
Dim bb(5) As Single md:$OC3  
  bb(1) = rr1 ac"Pn? q  
  bb(2) = rr2 Og[NRd+  
  bb(3) = rr3 =G3O7\KmH  
  bb(4) = rr4 7;RhA5M  
  nb = rr1 Xd/gvg{??0  
For i = 1 To 4 9~98v;Z1  
    If nb <= bb(i) Then RQ}(}|1+\  
       nb = bb(i) #Ki(9oWd  
    End If w|:UTJ>@  
Next i La9v97H:  
    rt(0) = Sqr(nb) s `fIeP  
    rr = rt() ;cd{+0  
  End If 4of3#M  
         |6w.m<p  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  J'^H@L/E  

i? 5jl&30  
有热压工艺方面的人才或者资料分享下； z{:T~s  
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 YT\x'`>Q  

高手真多！

楼主威武霸气.