[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： }GIwYh/  
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关键点说几个： h28")c.pH=  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） !PQ%h/ix  
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 t')47k\  
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 ?F{sym@i  

以下是几个重要的函数： ~r/"w'dB  
1.判断点在区域中函数 RrFq"  
2.计算夹角函数 W62 $ HI  
3.转置函数 \Wdl1 =`  
4.得到区域中心点，及区域半径函数 !VaKq_W  
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） 1&zvf4  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 ``;.Oy6jS  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single p>4tPI}bf  
   cax = x2 - x1 yyp0G
V.x  
   cay = y2 - y1 #'poDX?  
   cbx = x2 - x3 4Zz%vY  
   cby = y2 - y3 8Zj=:;  
   mo_jj = cax * cbx + cay * cby eUBf-xA  
   mo_ca = Sqr(cax * cax + cay * cay) 9+:SS1_  
   mo_cb = Sqr(cbx * cbx + cby * cby) eAU0 8gM.  
   cos_acb = mo_jj / (mo_ca * mo_cb) bQU{)W  
   'ff_cos = cos_acb `ChS$p"A  
   If cos_acb >= 1 Then [HRry2#s  
   nn = 0 OyI?P_0u  
   ElseIf cos_acb <= -1 Then xwuGJ   
   nn = 3.14159265258979 2C6o?*RjyY  
   Else q=I8W}Zi  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) //
/
  
   End If R07]{  
   'ff_angle = nn #$5"&SM  
   ff_angle = nn * 180 / 3.14159265258979 pUcN-WA  
End Function

'判断点在区域内函数 CF,-l B  
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 AvmI<U  
Dim aob, boc, cod, doa, sum As Single dd+hX$,  
  If ppx = p1x And ppy = p1y Then lfJvN  
     point_in = True aru;
yR  
     Exit Function &i(\g7%U  
  End If ?\Bm>p%+  
  If ppx = p2x And ppy = p2y Then H=/;  
     point_in = True zIzL7oD  
     Exit Function 0~a9gBG  
  End If |o@xWs@m  
   If ppx = p3x And ppy = p3y Then vpg*J/1[  
     point_in = True >='y+68  
     Exit Function QZh#&Qf;  
  End If &GfDo4$  
     ^P!(*k#T  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) La2f]+sV  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) T1-.+&<  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) +^6a$ N  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) +vr|J:  
    sum = aob + boc + cod + doa 3>T2k }  
    If 360.01 > sum And sum > 359.99 Then gmqL,H#  
       point_in = True |j2$G~B6  
    Else $etw'c0  
       point_in = False 5!s7`w]8*0  
    End If g1H$wU3eu  
End Function

'得到点半径,得到交点坐标函数 9 df GV!Z  
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() u|+Dqe`  
    '求得中心点坐标 A4tb>OM  
Dim tt As String D[ v2#2  
Dim rt(3) As Single Yq-Vwh/  
    '判断是否平行 B9: i.rQ  
   acx = p3x - p1x 0{'m":D9  
   acy = p3y - p1y ?:Sqh1-z  
   bdx = p4x - p2x =c;.cW  
   bdy = p4y - p2y cK1 Fv6V#  
   If acx * bdy = acy * bdx Then |W\U9n  
      rt(0) = 0 M:*)l(  
      Exit Function wZg~k\_lF  
   Else @@z5v bs'{  
      '判断斜率存在否 ~f6Q  
      If p1x = p3x And p2x <> p4x Then s?Z{LWZ@  
         tt = "ac_n_bd_y" M nnVk=  
      ElseIf p1x <> p3x And p2x = p4x Then c6Z"6-}$  
         tt = "ac_y_bd_n" l+#uQo6cqQ  
      ElseIf p1x <> p3x And p2x <> p4x Then bO'?7=SC  
         tt = "ac_y_bd_y" "rnVPHnQR
 
      End If veAdk9  
    Select Case tt s^"*]9B"  
         Case "ac_n_bd_y" NtG^t}V  
            'bd线段方程 gX~lYdA  
            k_bd = bdy / bdx ~,Kx"VK  
            b_bd = p2y - k_bd * p2x LlcH#L$  
            p_x = p1x XD%GNZ  
            p_y = k_bd * p_x + b_bd 2AXf'IOqE  
         Case "ac_y_bd_n" blKF78  
            'ac线段方程 ]1s6=  
            k_ac = acy / acx WS.lDMYE7  
            b_ac = p1y - k_ac * p1x 7n[0)XR>  
            p_x = p2x ,: Ij@u>)  
            p_y = k_ac * p_x + b_ac V X.9mt  
        Case "ac_y_bd_y" g
!;a5p6  
           'ac，bd线段都要求 Oh3A?!y#  
           k_ac = acy / acx !PfdY&.)  
           b_ac = p1y - k_ac * p1x wW, n~W  
           k_bd = bdy / bdx C.RXQ`-P}  
           b_bd = p2y - k_bd * p2x F):1@
.S  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) 'd]t@[#  
           p_y = k_ac * p_x + b_ac *&~(>gNF,  
        End Select "XLFw;o  
      rt(1) = p_x K2gF;(  
      rt(2) = p_y hO2W!68
 
     hf:\^w  
'计算最大半径 =@P]eK/  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 6eQa@[.Q  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) D$Ao-6QE W  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) ! Q8y]9O  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) v$Xoxp  
Dim bb(5) As Single d^Rea8  
  bb(1) = rr1 pB0 SCS*  
  bb(2) = rr2 EGzlRSgO  
  bb(3) = rr3 ;+*/YTkC+P  
  bb(4) = rr4 _ZE&W  
  nb = rr1 s;#,c(  
For i = 1 To 4 K?Jo"oy7  
    If nb <= bb(i) Then \;1nEjIA  
       nb = bb(i) @CS%=tE}U  
    End If Pp.]/;  
Next i
3b/J  
    rt(0) = Sqr(nb) J;N\q  
    rr = rt() L0qL\>#ejr  
  End If -Np}<O`./  
          = Atyy  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  &H%z1Lp  

J"fv5{  
有热压工艺方面的人才或者资料分享下； o[g]Va*8  
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 {m"I-VF  

高手真多！

楼主威武霸气.