[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： 69rwX"^  
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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： 2}597Hb   
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） =[APMig,n  
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 $,g 3*A  
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 5=*@l  

以下是几个重要的函数： 5f/@:~  
1.判断点在区域中函数 r*c82}tc  
2.计算夹角函数 \YjB+[.  
3.转置函数 ,>:XE@xcp  
4.得到区域中心点，及区域半径函数 #/\pUK~km  
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） @"jmI&hYn  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数
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Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single {vf+sf^^q  
   cax = x2 - x1 8L%%eM_O  
   cay = y2 - y1 6z1aG9G  
   cbx = x2 - x3 K<Yn_G  
   cby = y2 - y3 WHZe)|n  
   mo_jj = cax * cbx + cay * cby C}t+t  
   mo_ca = Sqr(cax * cax + cay * cay) a15,'v$O  
   mo_cb = Sqr(cbx * cbx + cby * cby) j+z'  
   cos_acb = mo_jj / (mo_ca * mo_cb) Q1P,=T@  
   'ff_cos = cos_acb 6,CU)-98G  
   If cos_acb >= 1 Then w0q?\qEX  
   nn = 0 XhJP87A  
   ElseIf cos_acb <= -1 Then P wt ?9I  
   nn = 3.14159265258979 zsR  wF  
   Else *l-Dh:  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) b/a?\0^  
   End If 9Bbm7Gd  
   'ff_angle = nn 
#QJ4o_  
   ff_angle = nn * 180 / 3.14159265258979 o|b[(t$;O  
End Function

'判断点在区域内函数 5 b#" G"  
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 `-9*@_-=M  
Dim aob, boc, cod, doa, sum As Single #J<`p  
  If ppx = p1x And ppy = p1y Then yNb

#Ia  
     point_in = True 9;xL!cy  
     Exit Function q7)]cY_  
  End If 32)&;  
  If ppx = p2x And ppy = p2y Then ],fwZd[t  
     point_in = True r(?'Yy  
     Exit Function Fw_bY/WN{  
  End If V5(tf'  
   If ppx = p3x And ppy = p3y Then &t9XK8S  
     point_in = True l1iF}>F
2  
     Exit Function /4wm}g9  
  End If mBD!:V'  
     )N%1%bg^-  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) tnKpn-LPA  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) l/y Kc8^<  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) J?qcRg`1E  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) JQ{zWJlt  
    sum = aob + boc + cod + doa TGt1d  
    If 360.01 > sum And sum > 359.99 Then c?V*X-  
       point_in = True C&d"#I  
    Else Ilt L@]e  
       point_in = False 6S+K*/w  
    End If c5mhl;+'  
End Function

'得到点半径,得到交点坐标函数 +(h6{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() -<}>YtB Q  
    '求得中心点坐标 :.'T+LI  
Dim tt As String 7&;jje[ <g  
Dim rt(3) As Single ~XT a=
 
    '判断是否平行 @D=2Er\  
   acx = p3x - p1x P20]>Hg  
   acy = p3y - p1y %\zCOfN  
   bdx = p4x - p2x 65e Wu=T  
   bdy = p4y - p2y ]rX?n  
   If acx * bdy = acy * bdx Then =ZJ?xA8  
      rt(0) = 0 lj SR?:\  
      Exit Function 5 1CU@1Ie  
   Else $et :  
      '判断斜率存在否 r1az=$  
      If p1x = p3x And p2x <> p4x Then Xw}Y!;<IEu  
         tt = "ac_n_bd_y" X%R^)zKV  
      ElseIf p1x <> p3x And p2x = p4x Then :]
z
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         tt = "ac_y_bd_n" J ]l@ r  
      ElseIf p1x <> p3x And p2x <> p4x Then N mjBJ_G  
         tt = "ac_y_bd_y" OTtanJ?  
      End If
\qd)l  
    Select Case tt .T$9Q Ar5  
         Case "ac_n_bd_y" 9{^B Tc  
            'bd线段方程 r|H!s
,  
            k_bd = bdy / bdx %_J/&{6G  
            b_bd = p2y - k_bd * p2x $j4?'-i=e  
            p_x = p1x <"|<)BGeI  
            p_y = k_bd * p_x + b_bd 4uAb LSh9  
         Case "ac_y_bd_n" ]!Aze^7;  
            'ac线段方程 ~9/nx|%D  
            k_ac = acy / acx u1|Y;*  
            b_ac = p1y - k_ac * p1x <~8f0+"  
            p_x = p2x d8q$&(]<  
            p_y = k_ac * p_x + b_ac ]H9HO2wGQ  
        Case "ac_y_bd_y" g:e8i~  
           'ac，bd线段都要求 N+@@EOmH  
           k_ac = acy / acx <x;[ H%  
           b_ac = p1y - k_ac * p1x YU\t+/b  
           k_bd = bdy / bdx ~x^+OXf!^g  
           b_bd = p2y - k_bd * p2x _G8y9!J  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ve]95w9J  
           p_y = k_ac * p_x + b_ac )Jjw}}$}Y  
        End Select #FDu4xi  
      rt(1) = p_x Bma|!p{  
      rt(2) = p_y 6Q?6-,?_  
     jnLu|W&  
'计算最大半径 :Y?08/V  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) ~~E=E;9
  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ]8cX#N,M  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) zs^\zCb8  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) qmeEUch`  
Dim bb(5) As Single 3&d+U)E  
  bb(1) = rr1 s?I=}  
  bb(2) = rr2 eDZ3SIZ  
  bb(3) = rr3 #7:9XID /  
  bb(4) = rr4 l:C0:m%  
  nb = rr1 J0)WRn"h  
For i = 1 To 4 L=Jk"qWV0  
    If nb <= bb(i) Then YG+Yb{^"  
       nb = bb(i) 0`Qs=R`OM  
    End If aj-uk(r  
Next i ',ybHW%D%i  
    rt(0) = Sqr(nb) jQlK-U=oi  
    rr = rt() u=i^F|  
  End If MZF ;k$R  
         sOH
AW*+  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  R[t[M}q  

V [>5  
有热压工艺方面的人才或者资料分享下； `9gx-')]\  
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 \_'pUp22  

高手真多！

楼主威武霸气.