[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： ^jY/w>UdH  
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图片:2.jpg

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关键点说几个： 8nV#\J9  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） HV0!G-h  
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 sWtT"7>x  
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 hKx*V"7/#\  

以下是几个重要的函数： |M;tAG$,"y  
1.判断点在区域中函数 dx.,  
2.计算夹角函数 ?v5OUmFM  
3.转置函数 n PAl8  
4.得到区域中心点，及区域半径函数 6cQ)*,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） bY@ 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 G=VbEL^H  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 03)R_A  
   cax = x2 - x1 hRc.^"q9  
   cay = y2 - y1 Le?yzf  
   cbx = x2 - x3 P&g.%8b~84  
   cby = y2 - y3 U%PII>s'#  
   mo_jj = cax * cbx + cay * cby Qnr7Qnb
 
   mo_ca = Sqr(cax * cax + cay * cay) e5z U`R  
   mo_cb = Sqr(cbx * cbx + cby * cby) th4yuDPuA  
   cos_acb = mo_jj / (mo_ca * mo_cb) >}I BPC  
   'ff_cos = cos_acb d*cAm$  
   If cos_acb >= 1 Then q@+#CUa&n  
   nn = 0 o6b\ w  
   ElseIf cos_acb <= -1 Then _T^+BUw  
   nn = 3.14159265258979 l)P~#G+C  
   Else H)5V \  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) GEd JB=  
   End If 2D vKW%;  
   'ff_angle = nn v:xfGA nP  
   ff_angle = nn * 180 / 3.14159265258979 gX'nFGqud  
End Function

'判断点在区域内函数 i,R+C.6{  
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 .$s>b#mO  
Dim aob, boc, cod, doa, sum As Single +jv&V%IL  
  If ppx = p1x And ppy = p1y Then $TK<~3`  
     point_in = True (Z)F6sZ`8  
     Exit Function $p?TE8G  
  End If HuRq0/"  
  If ppx = p2x And ppy = p2y Then m.':5  
     point_in = True caC-JcDXy  
     Exit Function EZw<)Q  
  End If P)k!#*  
   If ppx = p3x And ppy = p3y Then a*T=;P3(I  
     point_in = True !o{>[  
     Exit Function 6$*\
%  
  End If WKDa]({k%  
     Yg<4}l."  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) a}#8n^2  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) fa:V8xa  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 7#G8qh<
 
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) K4`)srd  
    sum = aob + boc + cod + doa lij>u  
    If 360.01 > sum And sum > 359.99 Then []#>r k~  
       point_in = True ?ZS/`P0}[  
    Else M7x*LiKc2  
       point_in = False jVxX! V  
    End If BnwYyh  
End Function

'得到点半径,得到交点坐标函数 c1>:|D7w  
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() A-GU:B  
    '求得中心点坐标 ^h^\kW'#  
Dim tt As String <GRplkf`  
Dim rt(3) As Single Lo-\;%y  
    '判断是否平行 \:[J-ySJ  
   acx = p3x - p1x W, YYL(L  
   acy = p3y - p1y F&[MyXU4  
   bdx = p4x - p2x :3h'Hr  
   bdy = p4y - p2y YZllfw$9  
   If acx * bdy = acy * bdx Then \fjr`t]  
      rt(0) = 0 LF?MO1!M  
      Exit Function <{"Jy)Uf  
   Else 3l?-H|T  
      '判断斜率存在否 7!kbe2/]'  
      If p1x = p3x And p2x <> p4x Then :.J]s<J(F  
         tt = "ac_n_bd_y" 8-clL\bm  
      ElseIf p1x <> p3x And p2x = p4x Then fHc/5uYW  
         tt = "ac_y_bd_n" rfwX:R6,g  
      ElseIf p1x <> p3x And p2x <> p4x Then bayDdR4T  
         tt = "ac_y_bd_y" ?]In@h-  
      End If Z}NMDb:t  
    Select Case tt \[MQJX,dn  
         Case "ac_n_bd_y" WPXLN'w+  
            'bd线段方程 *v6 j7<H  
            k_bd = bdy / bdx *s[bq;$  
            b_bd = p2y - k_bd * p2x =T3O;i  
            p_x = p1x ?x-:JME0  
            p_y = k_bd * p_x + b_bd *$/!.e  
         Case "ac_y_bd_n" n `Ry!  
            'ac线段方程 iLR^V!  
            k_ac = acy / acx (w
/)u  
            b_ac = p1y - k_ac * p1x _G1C5nkDl4  
            p_x = p2x DwBKqhu  
            p_y = k_ac * p_x + b_ac UP?]5x>  
        Case "ac_y_bd_y" yD\[`!sWk  
           'ac，bd线段都要求 9 U!-Zn!  
           k_ac = acy / acx c
*:H6(u  
           b_ac = p1y - k_ac * p1x q(iM=IeiN  
           k_bd = bdy / bdx ouO<un  
           b_bd = p2y - k_bd * p2x (Ymj  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) W^sH|2g  
           p_y = k_ac * p_x + b_ac KH_~DZU*5  
        End Select ^+b ??K  
      rt(1) = p_x KBSO^<7  
      rt(2) = p_y w>6~ zAh  
     qQ=\R1l  
'计算最大半径 @5Zg![G  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) rJ7yq|^Z  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) OEwKT7CX  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) !b:;O +[  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) 2S#|[wq(  
Dim bb(5) As Single )xP
fz  
  bb(1) = rr1 N 
sNk  
  bb(2) = rr2 b,MzHx=im  
  bb(3) = rr3 %V2A}78  
  bb(4) = rr4 O77bm,E  
  nb = rr1 i{.%4tA4  
For i = 1 To 4 *~H\#
N|x  
    If nb <= bb(i) Then WY3D.z-</  
       nb = bb(i) B^yA+&3HI  
    End If Wd78 bu|  
Next i [l%6wIP&{  
    rt(0) = Sqr(nb) Ed$;#4  
    rr = rt() $CgR~D2G  
  End If Bk)*Z/1<x  
         ,'0Zd(s  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  |#x]FNg  

;uK">L[u'  
有热压工艺方面的人才或者资料分享下； pl.D h  
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 n@"h^-  

高手真多！

楼主威武霸气.